Package evaluation to test SDDP on Julia 1.14.0-DEV.2291 (26145852c4*) started at 2026-06-04T19:04:21.804 ################################################################################ # Set-up # Installing PkgEval dependencies (TestEnv)... Activating project at `~/.julia/environments/v1.14` Set-up completed after 15.82s ################################################################################ # Installation # Installing SDDP... Resolving package versions... Updating `~/.julia/environments/v1.14/Project.toml` [f4570300] + SDDP v1.13.2 Updating `~/.julia/environments/v1.14/Manifest.toml` [d1d4a3ce] + BitFlags v0.1.10 [523fee87] + CodecBzip2 v0.8.5 [944b1d66] + CodecZlib v0.7.8 [bbf7d656] + CommonSubexpressions v0.3.1 [f0e56b4a] + ConcurrentUtilities v2.5.1 [163ba53b] + DiffResults v1.1.0 [b552c78f] + DiffRules v1.16.0 [ffbed154] + DocStringExtensions v0.9.5 [460bff9d] + ExceptionUnwrapping v0.1.11 [e2ba6199] + ExprTools v0.1.10 [f6369f11] + ForwardDiff v1.3.3 ⌅ [cd3eb016] + HTTP v1.11.0 [92d709cd] + IrrationalConstants v0.2.6 [692b3bcd] + JLLWrappers v1.8.0 [682c06a0] + JSON v1.6.1 [4076af6c] + JuMP v1.30.1 ⌅ [2ab3a3ac] + LogExpFunctions v0.3.29 [e6f89c97] + LoggingExtras v1.2.0 [1914dd2f] + MacroTools v0.5.16 [b8f27783] + MathOptInterface v1.51.1 [739be429] + MbedTLS v1.1.10 [d8a4904e] + MutableArithmetics v1.8.0 [77ba4419] + NaNMath v1.1.3 [4d8831e6] + OpenSSL v1.6.1 ⌅ [bac558e1] + OrderedCollections v1.8.2 [69de0a69] + Parsers v2.8.4 [aea7be01] + PrecompileTools v1.3.4 [21216c6a] + Preferences v1.5.2 [3cdcf5f2] + RecipesBase v1.3.4 [189a3867] + Reexport v1.2.2 [f4570300] + SDDP v1.13.2 [777ac1f9] + SimpleBufferStream v1.2.0 [276daf66] + SpecialFunctions v2.8.0 [1e83bf80] + StaticArraysCore v1.4.4 [10745b16] + Statistics v1.11.1 [ec057cc2] + StructUtils v2.8.2 [a759f4b9] + TimerOutputs v0.5.29 [3bb67fe8] + TranscodingStreams v0.11.3 [5c2747f8] + URIs v1.6.1 [6e34b625] + Bzip2_jll v1.0.9+0 [c8ffd9c3] + MbedTLS_jll v2.28.1010+0 [efe28fd5] + OpenSpecFun_jll v0.5.6+0 [56f22d72] + Artifacts v1.11.0 [2a0f44e3] + Base64 v1.11.0 [ade2ca70] + Dates v1.11.0 [8ba89e20] + Distributed v1.11.0 [b77e0a4c] + InteractiveUtils v1.11.0 [ac6e5ff7] + JuliaSyntaxHighlighting v1.13.0 [8f399da3] + Libdl v1.11.0 [37e2e46d] + LinearAlgebra v1.14.0 [56ddb016] + Logging v1.11.0 [d6f4376e] + Markdown v1.11.0 [ca575930] + NetworkOptions v1.3.0 [de0858da] + Printf v1.11.0 [9a3f8284] + Random v1.11.0 [ea8e919c] + SHA v1.13.0 [9e88b42a] + Serialization v1.11.0 [6462fe0b] + Sockets v1.11.0 [2f01184e] + SparseArrays v1.13.0 [f489334b] + StyledStrings v1.13.0 [fa267f1f] + TOML v1.0.3 [8dfed614] + Test v1.11.0 [cf7118a7] + UUIDs v1.11.0 [4ec0a83e] + Unicode v1.11.0 [e66e0078] + CompilerSupportLibraries_jll v1.5.2+0 [14a3606d] + MozillaCACerts_jll v2026.5.14 [4536629a] + OpenBLAS_jll v0.3.33+0 [05823500] + OpenLibm_jll v0.8.7+0 [458c3c95] + OpenSSL_jll v3.5.6+0 [bea87d4a] + SuiteSparse_jll v7.10.1+0 [83775a58] + Zlib_jll v1.3.2+0 [8e850b90] + libblastrampoline_jll v5.15.0+0 Info Packages marked with ⌅ have new versions available but compatibility constraints restrict them from upgrading. To see why use `status --outdated -m` Installation completed after 4.45s ################################################################################ # Precompilation # Precompiling PkgEval dependencies... Precompiling package dependencies... Precompiling project... 2.3 s ✓ HiGHS_jll 7.4 s ✓ MathOptIIS 29.0 s ✓ SDDP 49.2 s ✓ HiGHS 4 dependencies successfully precompiled in 96 seconds. 206 already precompiled. Precompilation completed after 109.9s ################################################################################ # Testing # Testing SDDP Status `/tmp/jl_CLaNUf/Project.toml` ⌅ [87dc4568] HiGHS v1.22.2 [b6b21f68] Ipopt v1.14.3 [682c06a0] JSON v1.6.1 [7d188eb4] JSONSchema v1.5.0 [91a5bcdd] Plots v1.41.6 [f4570300] SDDP v1.13.2 [10745b16] Statistics v1.11.1 [8ba89e20] Distributed v1.11.0 [f43a241f] Downloads v1.7.0 [44cfe95a] Pkg v1.14.0 [9a3f8284] Random v1.11.0 [8dfed614] Test v1.11.0 Status `/tmp/jl_CLaNUf/Manifest.toml` [66dad0bd] AliasTables v1.1.3 [d1d4a3ce] BitFlags v0.1.10 [523fee87] CodecBzip2 v0.8.5 [944b1d66] CodecZlib v0.7.8 [35d6a980] ColorSchemes v3.31.0 [3da002f7] ColorTypes v0.12.1 [c3611d14] ColorVectorSpace v0.11.0 [5ae59095] Colors v0.13.1 [bbf7d656] CommonSubexpressions v0.3.1 [f0e56b4a] ConcurrentUtilities v2.5.1 [d38c429a] Contour v0.6.3 [9a962f9c] DataAPI v1.16.0 [864edb3b] DataStructures v0.19.5 [8bb1440f] DelimitedFiles v1.9.1 [163ba53b] DiffResults v1.1.0 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Testing Running tests... [ Info: Experimental.jl [ Info: fetching remote ref https://jump.dev/MathOptFormat/schemas/mof.1.schema.json [ Info: Inner.jl Node: 3 - elapsed time: 0.42 plus 11.33 for vertex selection. Node: 2 - elapsed time: 0.29 plus 0.28 for vertex selection. Node: 1 - elapsed time: 0.3 plus 0.3 for vertex selection. First-stage upper bound: 45.83333333333332 Total time for upper bound: 12.916796671 ┌ Warning: You must select an optimizer for performing vertex selection. └ @ SDDP.Inner ~/.julia/packages/SDDP/R1Ovj/src/Inner.jl:1049 Node: 19 - elapsed time: 0.39 plus 0.35 for vertex selection. Node: 18 - elapsed time: 0.48 plus 0.35 for vertex selection. Node: 17 - elapsed time: 0.48 plus 0.35 for vertex selection. Node: 16 - elapsed time: 0.48 plus 0.35 for vertex selection. Node: 15 - elapsed time: 0.49 plus 0.36 for vertex selection. Node: 14 - elapsed time: 0.49 plus 0.35 for vertex selection. Node: 13 - elapsed time: 0.48 plus 0.34 for vertex selection. Node: 12 - elapsed time: 0.49 plus 0.35 for vertex selection. Node: 11 - elapsed time: 0.49 plus 0.34 for vertex selection. Node: 10 - elapsed time: 0.49 plus 0.34 for vertex selection. Node: 9 - elapsed time: 0.48 plus 0.35 for vertex selection. Node: 8 - elapsed time: 0.48 plus 0.35 for vertex selection. Node: 7 - elapsed time: 0.47 plus 0.34 for vertex selection. Node: 6 - elapsed time: 0.47 plus 0.33 for vertex selection. Node: 5 - elapsed time: 0.45 plus 0.34 for vertex selection. Node: 4 - elapsed time: 0.48 plus 0.34 for vertex selection. Node: 3 - elapsed time: 0.48 plus 0.35 for vertex selection. Node: 2 - elapsed time: 0.51 plus 0.36 for vertex selection. Node: 1 - elapsed time: 0.47 plus 0.33 for vertex selection. Selection removed 500 vertices [ Info: MSPFormat.jl [ Info: algorithm.jl ┌ Warning: Unable to recover in direct mode! Remove `direct = true` when creating the policy graph. └ @ SDDP ~/.julia/packages/SDDP/R1Ovj/src/algorithm.jl:402 [ Info: Writing cuts to the file `model_infeasible_node_1.cuts.json` [ Info: Writing cuts to the file `model_infeasible_node_1.cuts.json` ------------------------------------------------------------------- SDDP.jl (c) Oscar Dowson and contributors, 2017-26 ------------------------------------------------------------------- problem nodes : 2 state variables : 1 scenarios : 1.00000e+00 existing cuts : false options solver : serial mode risk measure : SDDP.Expectation() sampling scheme : SDDP.InSampleMonteCarlo subproblem structure VariableRef : [3, 3] JuMP.AffExpr in MOI.GreaterThan{Float64} : [1, 1] JuMP.VariableRef in MOI.GreaterThan{Float64} : [2, 2] JuMP.VariableRef in MOI.LessThan{Float64} : [1, 1] numerical stability report matrix range [1e+00, 1e+00] objective range [1e+00, 1e+00] bounds range [0e+00, 0e+00] rhs range [2e+00, 2e+00] ------------------------------------------------------------------- iteration simulation bound time (s) solves pid ------------------------------------------------------------------- † 1 0.000000e+00 0.000000e+00 6.199119e-01 4 1 3 0.000000e+00 0.000000e+00 1.688148e+00 12 1 ------------------------------------------------------------------- status : iteration_limit total time (s) : 1.688148e+00 total solves : 12 best bound : 0.000000e+00 simulation ci : 0.000000e+00 ± 0.000000e+00 numeric issues : 1 ------------------------------------------------------------------- ------------------------------------------------------------------- SDDP.jl (c) Oscar Dowson and contributors, 2017-26 ------------------------------------------------------------------- problem nodes : 3 state variables : 1 scenarios : 8.00000e+00 existing cuts : false options solver : serial mode risk measure : SDDP.Expectation() sampling scheme : SDDP.InSampleMonteCarlo subproblem structure VariableRef : [6, 6] JuMP.AffExpr in MOI.EqualTo{Float64} : [1, 1] JuMP.VariableRef in MOI.GreaterThan{Float64} : [4, 4] JuMP.VariableRef in MOI.LessThan{Float64} : [2, 3] numerical stability report matrix range [1e+00, 1e+00] objective range [1e+00, 3e+02] bounds range [1e+02, 2e+02] rhs range [0e+00, 0e+00] ------------------------------------------------------------------- iteration simulation bound time (s) solves pid ------------------------------------------------------------------- 1 1.100000e+05 1.075000e+05 5.266800e-01 9 1 20 7.500000e+04 1.075000e+05 1.375946e+00 204 1 ------------------------------------------------------------------- status : simulation_stopping total time (s) : 1.375946e+00 total solves : 204 best bound : 1.075000e+05 simulation ci : 8.268750e+04 ± 1.084410e+04 numeric issues : 0 ------------------------------------------------------------------- ┌ Warning: Re-training a model with existing cuts! │ │ Are you sure you want to do this? The output from this training may be │ misleading because the policy is already partially trained. │ │ If you meant to train a new policy with different settings, you must │ build a new model. │ │ If you meant to refine a previously trained policy, turn off this │ warning by passing `add_to_existing_cuts = true` as a keyword argument │ to `SDDP.train`. │ │ In a future release, this warning may turn into an error. └ @ SDDP ~/.julia/packages/SDDP/R1Ovj/src/algorithm.jl:1182 ┌ Warning: Re-training a model with existing cuts! │ │ Are you sure you want to do this? The output from this training may be │ misleading because the policy is already partially trained. │ │ If you meant to train a new policy with different settings, you must │ build a new model. │ │ If you meant to refine a previously trained policy, turn off this │ warning by passing `add_to_existing_cuts = true` as a keyword argument │ to `SDDP.train`. │ │ In a future release, this warning may turn into an error. └ @ SDDP ~/.julia/packages/SDDP/R1Ovj/src/algorithm.jl:1182 [ Info: binary_expansion.jl [ Info: deterministic_equivalent.jl [ Info: modeling_aids.jl ┌ Warning: Budget for nodes is less than the number of stages. Using one node per stage. └ @ SDDP ~/.julia/packages/SDDP/R1Ovj/src/modeling_aids.jl:125 [ Info: user_interface.jl [ Info: backward_sampling_schemes.jl [ Info: bellman_functions.jl ------------------------------------------------------------------- SDDP.jl (c) Oscar Dowson and contributors, 2017-26 ------------------------------------------------------------------- problem nodes : 3 state variables : 1 scenarios : 2.70000e+01 existing cuts : false options solver : serial mode risk measure : SDDP.Expectation() sampling scheme : SDDP.InSampleMonteCarlo subproblem structure VariableRef : [6, 6] JuMP.AffExpr in MOI.EqualTo{Float64} : [2, 2] JuMP.VariableRef in MOI.GreaterThan{Float64} : [5, 5] JuMP.VariableRef in MOI.LessThan{Float64} : [1, 2] numerical stability report matrix range [1e+00, 1e+00] objective range [1e+00, 1e+01] bounds range [5e+00, 2e+01] rhs range [2e+00, 1e+01] ------------------------------------------------------------------- iteration simulation bound time (s) solves pid ------------------------------------------------------------------- 1 2.500000e+01 2.138889e+01 2.092341e+00 12 1 10 2.500000e+00 3.361111e+01 2.120442e+00 120 1 ------------------------------------------------------------------- status : iteration_limit total time (s) : 2.120442e+00 total solves : 120 best bound : 3.361111e+01 simulation ci : 2.775000e+01 ± 3.280073e+01 numeric issues : 0 ------------------------------------------------------------------- ------------------------------------------------------------------- SDDP.jl (c) Oscar Dowson and contributors, 2017-26 ------------------------------------------------------------------- problem nodes : 3 state variables : 1 scenarios : 2.70000e+01 existing cuts : false options solver : serial mode risk measure : SDDP.Expectation() sampling scheme : SDDP.InSampleMonteCarlo subproblem structure VariableRef : [6, 6] JuMP.AffExpr in MOI.EqualTo{Float64} : [2, 2] JuMP.VariableRef in MOI.GreaterThan{Float64} : [5, 5] JuMP.VariableRef in MOI.LessThan{Float64} : [1, 2] numerical stability report matrix range [1e+00, 1e+00] objective range [1e+00, 1e+01] bounds range [5e+00, 2e+01] rhs range [2e+00, 1e+01] ------------------------------------------------------------------- iteration simulation bound time (s) solves pid ------------------------------------------------------------------- 1 2.500000e+01 2.083333e+01 5.350430e-01 12 1 10 2.500000e+00 3.361111e+01 5.992000e-01 120 1 ------------------------------------------------------------------- status : iteration_limit total time (s) : 5.992000e-01 total solves : 120 best bound : 3.361111e+01 simulation ci : 2.775000e+01 ± 3.280073e+01 numeric issues : 0 ------------------------------------------------------------------- ------------------------------------------------------------------- SDDP.jl (c) Oscar Dowson and contributors, 2017-26 ------------------------------------------------------------------- problem nodes : 1 state variables : 1 scenarios : Inf existing cuts : false options solver : serial mode risk measure : SDDP.Expectation() sampling scheme : SDDP.InSampleMonteCarlo subproblem structure VariableRef : [8, 8] JuMP.AffExpr in MOI.EqualTo{Float64} : [2, 2] JuMP.VariableRef in MOI.EqualTo{Float64} : [3, 3] JuMP.VariableRef in MOI.GreaterThan{Float64} : [5, 5] JuMP.VariableRef in MOI.LessThan{Float64} : [1, 1] numerical stability report matrix range [1e+00, 1e+00] objective range [1e+00, 1e+01] bounds range [5e+00, 2e+01] rhs range [0e+00, 0e+00] ------------------------------------------------------------------- iteration simulation bound time (s) solves pid ------------------------------------------------------------------- 1 9.250000e+01 5.268631e+01 1.035285e-02 46 1 50 0.000000e+00 1.191663e+02 5.332580e-01 1625 1 ------------------------------------------------------------------- status : iteration_limit total time (s) : 5.332580e-01 total solves : 1625 best bound : 1.191663e+02 simulation ci : 7.795000e+01 ± 2.885518e+01 numeric issues : 0 ------------------------------------------------------------------- ------------------------------------------------------------------- SDDP.jl (c) Oscar Dowson and contributors, 2017-26 ------------------------------------------------------------------- problem nodes : 1 state variables : 1 scenarios : Inf existing cuts : false options solver : serial mode risk measure : SDDP.Expectation() sampling scheme : SDDP.InSampleMonteCarlo subproblem structure VariableRef : [8, 8] JuMP.AffExpr in MOI.EqualTo{Float64} : [2, 2] JuMP.VariableRef in MOI.EqualTo{Float64} : [3, 3] JuMP.VariableRef in MOI.GreaterThan{Float64} : [5, 5] JuMP.VariableRef in MOI.LessThan{Float64} : [1, 1] numerical stability report matrix range [1e+00, 1e+00] objective range [1e+00, 1e+01] bounds range [5e+00, 2e+01] rhs range [0e+00, 0e+00] ------------------------------------------------------------------- iteration simulation bound time (s) solves pid ------------------------------------------------------------------- 1 9.250000e+01 5.268631e+01 1.102304e-02 46 1 50 0.000000e+00 1.191663e+02 4.907701e-01 1625 1 ------------------------------------------------------------------- status : iteration_limit total time (s) : 4.907701e-01 total solves : 1625 best bound : 1.191663e+02 simulation ci : 7.795000e+01 ± 2.885518e+01 numeric issues : 0 ------------------------------------------------------------------- [ Info: duality_handlers.jl ------------------------------------------------------------------- SDDP.jl (c) Oscar Dowson and contributors, 2017-26 ------------------------------------------------------------------- problem nodes : 2 state variables : 2 scenarios : 1.00000e+02 existing cuts : false options solver : serial mode risk measure : SDDP.Expectation() sampling scheme : SDDP.InSampleMonteCarlo subproblem structure VariableRef : [5, 11] JuMP.AffExpr in MOI.LessThan{Float64} : [2, 2] JuMP.VariableRef in MOI.GreaterThan{Float64} : [3, 7] JuMP.VariableRef in MOI.LessThan{Float64} : [2, 7] JuMP.VariableRef in MOI.ZeroOne : [4, 4] numerical stability report matrix range [1e+00, 6e+00] objective range [1e+00, 3e+01] bounds range [1e+00, 1e+02] rhs range [0e+00, 0e+00] ------------------------------------------------------------------- iteration simulation bound time (s) solves pid ------------------------------------------------------------------- 1 -4.650000e+01 -7.053967e+01 4.251739e+00 103 1 3S -5.785826e+01 -6.755367e+01 6.110218e+00 309 1 4S -6.230988e+01 -6.688020e+01 7.112251e+00 412 1 5S -7.577792e+01 -6.680771e+01 8.206946e+00 515 1 6S -6.064080e+01 -6.678327e+01 9.272597e+00 618 1 13S -3.268889e+01 -6.677644e+01 1.493467e+01 1339 1 23S -3.268889e+01 -6.677644e+01 2.069901e+01 2369 1 33S -8.368889e+01 -6.677644e+01 2.668163e+01 3399 1 44 -4.168889e+01 -6.677644e+01 3.169833e+01 4532 1 53S -4.868889e+01 -6.677644e+01 3.733543e+01 5459 1 63S -8.068889e+01 -6.677644e+01 4.327650e+01 6489 1 73S -7.168889e+01 -6.677644e+01 4.915620e+01 7519 1 83S -7.168889e+01 -6.677644e+01 5.501798e+01 8549 1 93S -6.068889e+01 -6.677644e+01 6.074548e+01 9579 1 100 -8.368889e+01 -6.677644e+01 6.423878e+01 10300 1 ------------------------------------------------------------------- status : iteration_limit total time (s) : 6.423878e+01 total solves : 10300 best bound : -6.677644e+01 simulation ci : -5.960112e+01 ± 3.154656e+00 numeric issues : 0 ------------------------------------------------------------------- ****************************************************************************** This program contains Ipopt, a library for large-scale nonlinear optimization. Ipopt is released as open source code under the Eclipse Public License (EPL). For more information visit https://github.com/coin-or/Ipopt ****************************************************************************** [ Info: forward_passes.jl ------------------------------------------------------------------- SDDP.jl (c) Oscar Dowson and contributors, 2017-26 ------------------------------------------------------------------- problem nodes : 2 state variables : 1 scenarios : 4.00000e+00 existing cuts : false options solver : serial mode risk measure : SDDP.Expectation() sampling scheme : SDDP.InSampleMonteCarlo subproblem structure VariableRef : [3, 3] JuMP.VariableRef in MOI.EqualTo{Float64} : [1, 1] JuMP.VariableRef in MOI.GreaterThan{Float64} : [1, 1] JuMP.VariableRef in MOI.LessThan{Float64} : [2, 2] numerical stability report matrix range [0e+00, 0e+00] objective range [1e+00, 1e+00] bounds range [1e+00, 1e+02] rhs range [0e+00, 0e+00] ------------------------------------------------------------------- iteration simulation bound time (s) solves pid ------------------------------------------------------------------- 1 3.000000e+00 6.000000e+00 5.075097e-02 8 1 ------------------------------------------------------------------- status : iteration_limit total time (s) : 5.075097e-02 total solves : 8 best bound : 6.000000e+00 simulation ci : 3.000000e+00 ± NaN numeric issues : 0 ------------------------------------------------------------------- ┌ Warning: Re-training a model with existing cuts! │ │ Are you sure you want to do this? The output from this training may be │ misleading because the policy is already partially trained. │ │ If you meant to train a new policy with different settings, you must │ build a new model. │ │ If you meant to refine a previously trained policy, turn off this │ warning by passing `add_to_existing_cuts = true` as a keyword argument │ to `SDDP.train`. │ │ In a future release, this warning may turn into an error. └ @ SDDP ~/.julia/packages/SDDP/R1Ovj/src/algorithm.jl:1182 [ Info: local_improvement_search.jl [ Info: exp = 15 [ Info: OA(exp) = 220 [ Info: piecewise = 7 [ Info: OA(piecewise) = 6 [ Info: squared = 3 [ Info: OA(squared) = 16 [ Info: parallel_schemes.jl ------------------------------------------------------------------- SDDP.jl (c) Oscar Dowson and contributors, 2017-26 ------------------------------------------------------------------- problem nodes : 2 state variables : 1 scenarios : 4.00000e+00 existing cuts : false options solver : Asynchronous mode with 4 workers. risk measure : SDDP.Expectation() sampling scheme : SDDP.InSampleMonteCarlo subproblem structure VariableRef : [3, 3] VariableRef in MOI.GreaterThan{Float64} : [1, 1] VariableRef in MOI.LessThan{Float64} : [1, 1] numerical stability report matrix range [0e+00, 0e+00] objective range [1e+00, 1e+00] bounds range [1e+00, 6e+00] rhs range [0e+00, 0e+00] ------------------------------------------------------------------- iteration simulation bound time (s) solves pid ------------------------------------------------------------------- 1 5.000000e+00 6.000000e+00 3.878967e+02 2 2 20 3.000000e+00 6.000000e+00 3.940522e+02 40 2 ------------------------------------------------------------------- status : iteration_limit total time (s) : 3.940522e+02 total solves : 40 best bound : 6.000000e+00 simulation ci : 4.800000e+00 ± 8.484071e-01 numeric issues : 0 ------------------------------------------------------------------- ┌ Warning: Re-training a model with existing cuts! │ │ Are you sure you want to do this? The output from this training may be │ misleading because the policy is already partially trained. │ │ If you meant to train a new policy with different settings, you must │ build a new model. │ │ If you meant to refine a previously trained policy, turn off this │ warning by passing `add_to_existing_cuts = true` as a keyword argument │ to `SDDP.train`. │ │ In a future release, this warning may turn into an error. └ @ SDDP ~/.julia/packages/SDDP/R1Ovj/src/algorithm.jl:1182 ------------------------------------------------------------------- SDDP.jl (c) Oscar Dowson and contributors, 2017-26 ------------------------------------------------------------------- problem nodes : 2 state variables : 1 scenarios : 4.00000e+00 existing cuts : true options solver : Asynchronous mode with 4 workers. risk measure : SDDP.Expectation() sampling scheme : SDDP.InSampleMonteCarlo subproblem structure VariableRef : [3, 3] AffExpr in MOI.GreaterThan{Float64} : [2, 2] VariableRef in MOI.EqualTo{Float64} : [1, 1] VariableRef in MOI.GreaterThan{Float64} : [2, 2] VariableRef in MOI.LessThan{Float64} : [1, 1] numerical stability report matrix range [1e+00, 1e+00] objective range [1e+00, 1e+00] bounds range [1e+00, 6e+00] rhs range [4e+00, 4e+00] ------------------------------------------------------------------- iteration simulation bound time (s) solves pid ------------------------------------------------------------------- 1 5.000000e+00 6.000000e+00 1.180195e+00 48 1 20 9.000000e+00 6.000000e+00 1.499360e+00 162 1 ------------------------------------------------------------------- status : iteration_limit total time (s) : 1.499360e+00 total solves : 162 best bound : 6.000000e+00 simulation ci : 5.900000e+00 ± 9.633534e-01 numeric issues : 0 ------------------------------------------------------------------- [ Info: risk_measures.jl ┌ Warning: Radius is very small. You should probably use `SDDP.Expectation()` instead. └ @ SDDP ~/.julia/packages/SDDP/R1Ovj/src/plugins/risk_measures.jl:529 ┌ Warning: Radius is very small. You should probably use `SDDP.Expectation()` instead. └ @ SDDP ~/.julia/packages/SDDP/R1Ovj/src/plugins/risk_measures.jl:529 ┌ Warning: Radius is very small. You should probably use `SDDP.Expectation()` instead. └ @ SDDP ~/.julia/packages/SDDP/R1Ovj/src/plugins/risk_measures.jl:529 [ Info: sampling_schemes.jl [ Info: stopping_rules.jl ------------------------------------------------------------------- SDDP.jl (c) Oscar Dowson and contributors, 2017-26 ------------------------------------------------------------------- problem nodes : 2 state variables : 1 scenarios : 1.00000e+00 existing cuts : false options solver : serial mode risk measure : SDDP.Expectation() sampling scheme : SDDP.InSampleMonteCarlo subproblem structure VariableRef : [3, 3] VariableRef in MOI.GreaterThan{Float64} : [2, 2] VariableRef in MOI.LessThan{Float64} : [1, 1] numerical stability report matrix range [0e+00, 0e+00] objective range [1e+00, 1e+00] bounds range [0e+00, 0e+00] rhs range [0e+00, 0e+00] ------------------------------------------------------------------- iteration simulation bound time (s) solves pid ------------------------------------------------------------------- 1 0.000000e+00 0.000000e+00 3.430028e-01 4 1 50 0.000000e+00 0.000000e+00 8.054249e-01 200 1 ------------------------------------------------------------------- status : first_stage_stopping total time (s) : 8.054249e-01 total solves : 200 best bound : 0.000000e+00 simulation ci : 0.000000e+00 ± 0.000000e+00 numeric issues : 0 ------------------------------------------------------------------- ┌ Warning: Are you really sure you want to use this stopping rule? Read why we don't recommend it by typing `? SDDP.Statistical` into the REPL to read the docstring. │ │ If you understand what you are doing, you can disable this warning with `SDDP.Statistical(; disable_warning = true)` └ @ SDDP ~/.julia/packages/SDDP/R1Ovj/src/plugins/stopping_rules.jl:133 Simulated policy value: [ 5.035598e+00, 6.964402e+00] Simulated policy value: [ 5.282880e+00, 7.117120e+00] Simulated policy value: [ 5.606329e+00, 7.393671e+00] ┌ Warning: Are you really sure you want to use this stopping rule? Read why we don't recommend it by typing `? SDDP.Statistical` into the REPL to read the docstring. │ │ If you understand what you are doing, you can disable this warning with `SDDP.Statistical(; disable_warning = true)` └ @ SDDP ~/.julia/packages/SDDP/R1Ovj/src/plugins/stopping_rules.jl:133 Simulated policy value: [ 5.035598e+00, 6.964402e+00] Simulated policy value: [ 5.282880e+00, 7.117120e+00] Simulated policy value: [ 5.606329e+00, 7.393671e+00] ┌ Warning: Are you really sure you want to use this stopping rule? Read why we don't recommend it by typing `? SDDP.Statistical` into the REPL to read the docstring. │ │ If you understand what you are doing, you can disable this warning with `SDDP.Statistical(; disable_warning = true)` └ @ SDDP ~/.julia/packages/SDDP/R1Ovj/src/plugins/stopping_rules.jl:133 [ Info: threaded.jl [ Info: value_functions.jl [ Info: visualization.jl ┌ Warning: `SDDP.save` is deprecated. Use `SDDP.plot` instead. │ caller = test_SpaghettiPlot() at visualization.jl:49 └ @ Main.TestVisualization ~/.julia/packages/SDDP/R1Ovj/test/visualization/visualization.jl:49 [ Info: FAST_hydro_thermal.jl ------------------------------------------------------------------- SDDP.jl (c) Oscar Dowson and contributors, 2017-26 ------------------------------------------------------------------- problem nodes : 2 state variables : 1 scenarios : 2.00000e+00 existing cuts : false options solver : serial mode risk measure : SDDP.Expectation() sampling scheme : SDDP.InSampleMonteCarlo subproblem structure VariableRef : [6, 6] AffExpr in MOI.GreaterThan{Float64} : [1, 1] AffExpr in MOI.LessThan{Float64} : [1, 1] VariableRef in MOI.EqualTo{Float64} : [1, 1] VariableRef in MOI.GreaterThan{Float64} : [3, 4] VariableRef in MOI.LessThan{Float64} : [2, 2] numerical stability report matrix range [1e+00, 1e+00] objective range [1e+00, 5e+00] bounds range [8e+00, 8e+00] rhs range [6e+00, 6e+00] ------------------------------------------------------------------- iteration simulation bound time (s) solves pid ------------------------------------------------------------------- 1 -2.000000e+01 -1.000000e+01 6.757181e+00 5 1 20 0.000000e+00 -1.000000e+01 7.583259e+00 104 1 ------------------------------------------------------------------- status : simulation_stopping total time (s) : 7.583259e+00 total solves : 104 best bound : -1.000000e+01 simulation ci : -1.100000e+01 ± 4.474009e+00 numeric issues : 0 ------------------------------------------------------------------- [ Info: FAST_production_management.jl ------------------------------------------------------------------- SDDP.jl (c) Oscar Dowson and contributors, 2017-26 ------------------------------------------------------------------- problem nodes : 3 state variables : 2 scenarios : 4.00000e+00 existing cuts : false options solver : serial mode risk measure : SDDP.Expectation() sampling scheme : SDDP.InSampleMonteCarlo subproblem structure VariableRef : [8, 8] AffExpr in MOI.LessThan{Float64} : [3, 3] VariableRef in MOI.GreaterThan{Float64} : [5, 5] VariableRef in MOI.LessThan{Float64} : [1, 1] numerical stability report matrix range [1e+00, 1e+00] objective range [2e-01, 3e+00] bounds range [5e+01, 5e+01] rhs range [0e+00, 0e+00] ------------------------------------------------------------------- iteration simulation bound time (s) solves pid ------------------------------------------------------------------- 5 -5.320000e+00 -2.396000e+01 4.417560e-01 52 1 10 -2.396000e+01 -2.396000e+01 4.521649e-01 92 1 15 -4.260000e+01 -2.396000e+01 4.603391e-01 132 1 20 -2.396000e+01 -2.396000e+01 4.669380e-01 172 1 25 -5.320000e+00 -2.396000e+01 4.743049e-01 224 1 30 -5.320000e+00 -2.396000e+01 4.808369e-01 264 1 35 -2.396000e+01 -2.396000e+01 4.879041e-01 304 1 40 -2.396000e+01 -2.396000e+01 4.955750e-01 344 1 ------------------------------------------------------------------- status : simulation_stopping total time (s) : 4.955750e-01 total solves : 344 best bound : -2.396000e+01 simulation ci : -1.868714e+01 ± 3.990349e+00 numeric issues : 0 ------------------------------------------------------------------- ──────────────────────────────────────────────────────────────────────────────────── Time Allocations ─────────────────────── ──────────────────────── Tot / % measured: 754ms / 60.4% 11.8MiB / 51.4% Section ncalls time %tot avg alloc %tot avg ──────────────────────────────────────────────────────────────────────────────────── forward_pass 40 409ms 89.7% 10.2ms 648KiB 10.4% 16.2KiB solve_subproblem 120 408ms 89.5% 3.40ms 475KiB 7.6% 3.96KiB get_dual_solution 120 34.8μs 0.0% 290ns 13.1KiB 0.2% 112B sample_scenario 40 230μs 0.1% 5.75μs 22.3KiB 0.4% 572B backward_pass 40 39.5ms 8.7% 988μs 5.27MiB 86.6% 135KiB solve_subproblem 160 22.4ms 4.9% 140μs 721KiB 11.6% 4.51KiB get_dual_solution 160 4.26ms 0.9% 26.6μs 185KiB 3.0% 1.16KiB prepare_backward_pass 160 68.9μs 0.0% 431ns 15.0KiB 0.2% 96.0B calculate_bound 40 7.22ms 1.6% 181μs 182KiB 2.9% 4.54KiB get_dual_solution 40 9.92μs 0.0% 248ns 4.38KiB 0.1% 112B get_dual_solution 36 8.08μs 0.0% 224ns 3.94KiB 0.1% 112B ──────────────────────────────────────────────────────────────────────────────────── ------------------------------------------------------------------- SDDP.jl (c) Oscar Dowson and contributors, 2017-26 ------------------------------------------------------------------- problem nodes : 3 state variables : 2 scenarios : 4.00000e+00 existing cuts : false options solver : serial mode risk measure : SDDP.Expectation() sampling scheme : SDDP.InSampleMonteCarlo subproblem structure VariableRef : [8, 8] AffExpr in MOI.LessThan{Float64} : [3, 3] VariableRef in MOI.GreaterThan{Float64} : [5, 5] VariableRef in MOI.LessThan{Float64} : [1, 1] numerical stability report matrix range [1e+00, 1e+00] objective range [2e-01, 3e+00] bounds range [5e+01, 5e+01] rhs range [0e+00, 0e+00] ------------------------------------------------------------------- iteration simulation bound time (s) solves pid ------------------------------------------------------------------- 5 -2.396000e+01 -2.396000e+01 4.533250e-01 52 1 10 -2.396000e+01 -2.396000e+01 4.592810e-01 92 1 15 -2.396000e+01 -2.396000e+01 4.676569e-01 132 1 20 -4.260000e+01 -2.396000e+01 4.757180e-01 172 1 25 -5.320000e+00 -2.396000e+01 4.863579e-01 224 1 30 -2.396000e+01 -2.396000e+01 4.958570e-01 264 1 35 -2.396000e+01 -2.396000e+01 5.060689e-01 304 1 40 -5.320000e+00 -2.396000e+01 5.175350e-01 344 1 ------------------------------------------------------------------- status : simulation_stopping total time (s) : 5.175350e-01 total solves : 344 best bound : -2.396000e+01 simulation ci : -2.237170e+01 ± 4.300524e+00 numeric issues : 0 ------------------------------------------------------------------- ──────────────────────────────────────────────────────────────────────────────────── Time Allocations ─────────────────────── ──────────────────────── Tot / % measured: 523ms / 78.3% 12.4MiB / 93.6% Section ncalls time %tot avg alloc %tot avg ──────────────────────────────────────────────────────────────────────────────────── forward_pass 40 336ms 81.9% 8.39ms 648KiB 5.4% 16.2KiB solve_subproblem 120 334ms 81.6% 2.78ms 475KiB 4.0% 3.96KiB get_dual_solution 120 37.1μs 0.0% 309ns 13.1KiB 0.1% 112B sample_scenario 40 279μs 0.1% 6.98μs 22.5KiB 0.2% 575B backward_pass 40 49.3ms 12.0% 1.23ms 10.8MiB 93.0% 277KiB solve_subproblem 160 17.4ms 4.3% 109μs 722KiB 6.1% 4.51KiB get_dual_solution 160 874μs 0.2% 5.46μs 185KiB 1.6% 1.16KiB prepare_backward_pass 160 95.1μs 0.0% 595ns 15.0KiB 0.1% 96.0B calculate_bound 40 24.8ms 6.1% 621μs 183KiB 1.5% 4.58KiB get_dual_solution 40 14.6μs 0.0% 364ns 4.38KiB 0.0% 112B get_dual_solution 36 8.43μs 0.0% 234ns 3.94KiB 0.0% 112B ──────────────────────────────────────────────────────────────────────────────────── [ Info: FAST_quickstart.jl ------------------------------------------------------------------- SDDP.jl (c) Oscar Dowson and contributors, 2017-26 ------------------------------------------------------------------- problem nodes : 2 state variables : 1 scenarios : 2.00000e+00 existing cuts : false options solver : serial mode risk measure : SDDP.Expectation() sampling scheme : SDDP.InSampleMonteCarlo subproblem structure VariableRef : [3, 4] AffExpr in MOI.LessThan{Float64} : [1, 1] VariableRef in MOI.GreaterThan{Float64} : [2, 3] VariableRef in MOI.LessThan{Float64} : [2, 2] numerical stability report matrix range [1e+00, 1e+00] objective range [1e+00, 2e+00] bounds range [2e+00, 5e+00] rhs range [0e+00, 0e+00] ------------------------------------------------------------------- iteration simulation bound time (s) solves pid ------------------------------------------------------------------- 1 0.000000e+00 -2.500000e+00 5.248308e-01 5 1 2 -2.500000e+00 -2.000000e+00 5.270309e-01 14 1 3 -1.000000e+00 -2.000000e+00 5.381148e-01 19 1 4 -1.000000e+00 -2.000000e+00 5.397420e-01 24 1 5 -1.000000e+00 -2.000000e+00 5.410249e-01 29 1 6 -3.000000e+00 -2.000000e+00 5.417409e-01 34 1 7 -1.000000e+00 -2.000000e+00 5.424619e-01 39 1 8 -1.000000e+00 -2.000000e+00 5.433178e-01 44 1 9 -3.000000e+00 -2.000000e+00 5.448089e-01 49 1 10 -1.000000e+00 -2.000000e+00 5.463459e-01 54 1 11 -3.000000e+00 -2.000000e+00 5.485439e-01 59 1 12 -3.000000e+00 -2.000000e+00 5.501008e-01 64 1 13 -1.000000e+00 -2.000000e+00 5.512519e-01 69 1 14 -1.000000e+00 -2.000000e+00 5.520399e-01 74 1 15 -3.000000e+00 -2.000000e+00 5.529468e-01 79 1 16 -1.000000e+00 -2.000000e+00 5.545340e-01 84 1 17 -3.000000e+00 -2.000000e+00 5.560930e-01 89 1 18 -3.000000e+00 -2.000000e+00 5.574269e-01 94 1 19 -1.000000e+00 -2.000000e+00 5.582728e-01 99 1 20 -3.000000e+00 -2.000000e+00 5.591059e-01 104 1 21 -1.000000e+00 -2.000000e+00 5.607779e-01 113 1 22 -1.000000e+00 -2.000000e+00 5.624578e-01 118 1 23 -3.000000e+00 -2.000000e+00 5.641279e-01 123 1 24 -3.000000e+00 -2.000000e+00 5.658360e-01 128 1 25 -1.000000e+00 -2.000000e+00 5.675209e-01 133 1 26 -3.000000e+00 -2.000000e+00 5.693159e-01 138 1 27 -3.000000e+00 -2.000000e+00 5.707028e-01 143 1 28 -1.000000e+00 -2.000000e+00 5.716588e-01 148 1 29 -3.000000e+00 -2.000000e+00 5.726099e-01 153 1 30 -3.000000e+00 -2.000000e+00 5.737188e-01 158 1 31 -1.000000e+00 -2.000000e+00 5.754359e-01 163 1 32 -1.000000e+00 -2.000000e+00 5.772438e-01 168 1 33 -1.000000e+00 -2.000000e+00 5.790980e-01 173 1 34 -3.000000e+00 -2.000000e+00 5.809970e-01 178 1 35 -1.000000e+00 -2.000000e+00 5.829208e-01 183 1 36 -3.000000e+00 -2.000000e+00 5.844488e-01 188 1 37 -1.000000e+00 -2.000000e+00 5.855818e-01 193 1 38 -1.000000e+00 -2.000000e+00 5.868189e-01 198 1 39 -1.000000e+00 -2.000000e+00 5.888510e-01 203 1 40 -1.000000e+00 -2.000000e+00 5.908840e-01 208 1 ------------------------------------------------------------------- status : simulation_stopping total time (s) : 5.908840e-01 total solves : 208 best bound : -2.000000e+00 simulation ci : -1.812500e+00 ± 3.171441e-01 numeric issues : 0 ------------------------------------------------------------------- [ Info: Hydro_thermal.jl ------------------------------------------------------------------- SDDP.jl (c) Oscar Dowson and contributors, 2017-26 ------------------------------------------------------------------- problem nodes : 3 state variables : 1 scenarios : Inf existing cuts : false options solver : serial mode risk measure : SDDP.Expectation() sampling scheme : SDDP.InSampleMonteCarlo subproblem structure VariableRef : [6, 6] AffExpr in MOI.EqualTo{Float64} : [2, 2] VariableRef in MOI.GreaterThan{Float64} : [5, 5] VariableRef in MOI.LessThan{Float64} : [1, 1] numerical stability report matrix range [1e+00, 1e+00] objective range [1e+00, 3e+00] bounds range [5e+00, 2e+01] rhs range [2e+00, 1e+01] ------------------------------------------------------------------- iteration simulation bound time (s) solves pid ------------------------------------------------------------------- 1 4.000000e+01 1.882708e+01 4.878719e-01 51 1 30 2.138334e+03 2.336430e+02 2.035743e+00 7674 1 40 3.794270e+02 2.354624e+02 3.101765e+00 10656 1 49 1.030186e+02 2.359465e+02 4.150903e+00 12495 1 59 3.340847e+02 2.361437e+02 5.172440e+00 14097 1 63 1.493193e+03 2.362190e+02 6.278268e+00 15909 1 72 1.044387e+02 2.362973e+02 7.322952e+00 17364 1 76 3.050305e+02 2.363467e+02 8.589800e+00 18936 1 86 3.635265e+02 2.363807e+02 9.898034e+00 20490 1 100 4.969839e+02 2.364135e+02 1.365137e+01 23928 1 ------------------------------------------------------------------- status : iteration_limit total time (s) : 1.365137e+01 total solves : 23928 best bound : 2.364135e+02 simulation ci : 2.345669e+02 ± 6.032770e+01 numeric issues : 0 ------------------------------------------------------------------- On average, 2.1 units of thermal are used in the first stage. [ Info: StochDynamicProgramming.jl_multistock.jl ------------------------------------------------------------------- SDDP.jl (c) Oscar Dowson and contributors, 2017-26 ------------------------------------------------------------------- problem nodes : 5 state variables : 3 scenarios : 1.43489e+07 existing cuts : false options solver : serial mode risk measure : SDDP.Expectation() sampling scheme : SDDP.InSampleMonteCarlo subproblem structure VariableRef : [13, 13] AffExpr in MOI.EqualTo{Float64} : [3, 3] AffExpr in MOI.LessThan{Float64} : [1, 1] VariableRef in MOI.GreaterThan{Float64} : [7, 7] VariableRef in MOI.LessThan{Float64} : [6, 7] numerical stability report matrix range [1e+00, 1e+00] objective range [3e-01, 2e+00] bounds range [5e-01, 5e+00] rhs range [2e+00, 2e+00] ------------------------------------------------------------------- iteration simulation bound time (s) solves pid ------------------------------------------------------------------- 10 -4.977586e+00 -4.446713e+00 1.547048e+00 1400 1 20 -4.764789e+00 -4.394789e+00 1.883070e+00 2800 1 30 -4.672487e+00 -4.377000e+00 2.209310e+00 4200 1 40 -4.483495e+00 -4.370632e+00 2.527087e+00 5600 1 50 -4.167321e+00 -4.364999e+00 2.860298e+00 7000 1 60 -4.362455e+00 -4.358864e+00 3.189845e+00 8400 1 70 -4.849916e+00 -4.355337e+00 3.537467e+00 9800 1 80 -4.861568e+00 -4.353006e+00 3.891925e+00 11200 1 90 -4.268264e+00 -4.350407e+00 4.245960e+00 12600 1 100 -4.539897e+00 -4.348641e+00 4.606580e+00 14000 1 ------------------------------------------------------------------- status : iteration_limit total time (s) : 4.606580e+00 total solves : 14000 best bound : -4.348641e+00 simulation ci : -4.325070e+00 ± 8.068871e-02 numeric issues : 0 ------------------------------------------------------------------- [ Info: StochDynamicProgramming.jl_stock.jl ------------------------------------------------------------------- SDDP.jl (c) Oscar Dowson and contributors, 2017-26 ------------------------------------------------------------------- problem nodes : 5 state variables : 1 scenarios : 1.00000e+05 existing cuts : false options solver : serial mode risk measure : SDDP.Expectation() sampling scheme : SDDP.InSampleMonteCarlo subproblem structure VariableRef : [5, 5] AffExpr in MOI.EqualTo{Float64} : [1, 1] VariableRef in MOI.GreaterThan{Float64} : [3, 3] VariableRef in MOI.LessThan{Float64} : [2, 3] numerical stability report matrix range [1e+00, 1e+00] objective range [3e-01, 2e+00] bounds range [5e-01, 2e+00] rhs range [0e+00, 0e+00] ------------------------------------------------------------------- iteration simulation bound time (s) solves pid ------------------------------------------------------------------- 10 -1.671715e+00 -1.476962e+00 1.158136e+00 1050 1 20 -1.529197e+00 -1.471817e+00 1.248830e+00 1600 1 30 -1.410768e+00 -1.471408e+00 1.449043e+00 2650 1 40 -1.596461e+00 -1.471258e+00 1.543871e+00 3200 1 50 -1.002277e+00 -1.471216e+00 1.740054e+00 4250 1 60 -1.085156e+00 -1.471164e+00 1.837463e+00 4800 1 70 -1.391746e+00 -1.471164e+00 2.052582e+00 5850 1 80 -1.448703e+00 -1.471132e+00 2.165269e+00 6400 1 90 -1.488989e+00 -1.471087e+00 2.378888e+00 7450 1 100 -1.564260e+00 -1.471075e+00 2.494454e+00 8000 1 110 -1.738157e+00 -1.471075e+00 2.974487e+00 8550 1 120 -1.591292e+00 -1.471075e+00 3.091277e+00 9100 1 130 -1.271481e+00 -1.471075e+00 3.207483e+00 9650 1 140 -1.249746e+00 -1.471075e+00 3.327361e+00 10200 1 150 -1.536222e+00 -1.471075e+00 3.455663e+00 10750 1 160 -1.565422e+00 -1.471075e+00 3.591407e+00 11300 1 170 -1.631076e+00 -1.471075e+00 3.718340e+00 11850 1 180 -1.494909e+00 -1.471075e+00 3.846398e+00 12400 1 182 -9.083563e-01 -1.471075e+00 3.871368e+00 12510 1 ------------------------------------------------------------------- status : simulation_stopping total time (s) : 3.871368e+00 total solves : 12510 best bound : -1.471075e+00 simulation ci : -1.462065e+00 ± 2.699238e-02 numeric issues : 0 ------------------------------------------------------------------- [ Info: StructDualDynProg.jl_prob5.2_2stages.jl ------------------------------------------------------------------- SDDP.jl (c) Oscar Dowson and contributors, 2017-26 ------------------------------------------------------------------- problem nodes : 2 state variables : 4 scenarios : 2.00000e+00 existing cuts : false options solver : serial mode risk measure : SDDP.Expectation() sampling scheme : SDDP.InSampleMonteCarlo subproblem structure VariableRef : [29, 29] AffExpr in MOI.EqualTo{Float64} : [4, 5] AffExpr in MOI.GreaterThan{Float64} : [3, 3] AffExpr in MOI.LessThan{Float64} : [4, 4] VariableRef in MOI.GreaterThan{Float64} : [22, 22] VariableRef in MOI.LessThan{Float64} : [1, 1] numerical stability report matrix range [1e+00, 1e+00] objective range [1e+00, 1e+06] bounds range [0e+00, 0e+00] rhs range [0e+00, 0e+00] ------------------------------------------------------------------- iteration simulation bound time (s) solves pid ------------------------------------------------------------------- 10 3.455904e+05 3.147347e+05 3.044550e-01 54 1 20 3.336455e+05 3.402383e+05 3.198321e-01 104 1 30 3.993519e+05 3.403155e+05 3.341091e-01 158 1 40 3.337559e+05 3.403155e+05 3.463550e-01 208 1 48 3.337559e+05 3.403155e+05 3.576710e-01 248 1 ------------------------------------------------------------------- status : simulation_stopping total time (s) : 3.576710e-01 total solves : 248 best bound : 3.403155e+05 simulation ci : 1.298444e+08 ± 1.785864e+08 numeric issues : 0 ------------------------------------------------------------------- [ Info: StructDualDynProg.jl_prob5.2_3stages.jl ------------------------------------------------------------------- SDDP.jl (c) Oscar Dowson and contributors, 2017-26 ------------------------------------------------------------------- problem nodes : 3 state variables : 4 scenarios : 4.00000e+00 existing cuts : false options solver : serial mode risk measure : SDDP.Expectation() sampling scheme : SDDP.InSampleMonteCarlo subproblem structure VariableRef : [29, 29] AffExpr in MOI.EqualTo{Float64} : [4, 5] AffExpr in MOI.GreaterThan{Float64} : [3, 3] AffExpr in MOI.LessThan{Float64} : [4, 4] VariableRef in MOI.EqualTo{Float64} : [3, 3] VariableRef in MOI.GreaterThan{Float64} : [22, 22] VariableRef in MOI.LessThan{Float64} : [1, 1] numerical stability report matrix range [1e+00, 1e+00] objective range [1e+00, 1e+05] bounds range [0e+00, 0e+00] rhs range [0e+00, 0e+00] ------------------------------------------------------------------- iteration simulation bound time (s) solves pid ------------------------------------------------------------------- 10 4.403329e+05 3.509666e+05 5.125480e-01 92 1 20 4.506600e+05 4.054833e+05 5.373771e-01 172 1 30 3.959476e+05 4.067125e+05 5.587351e-01 264 1 40 4.497721e+05 4.067125e+05 5.832992e-01 344 1 47 3.959476e+05 4.067125e+05 6.017790e-01 400 1 ------------------------------------------------------------------- status : simulation_stopping total time (s) : 6.017790e-01 total solves : 400 best bound : 4.067125e+05 simulation ci : 2.696242e+07 ± 3.645299e+07 numeric issues : 0 ------------------------------------------------------------------- [ Info: agriculture_mccardle_farm.jl ------------------------------------------------------------------- SDDP.jl (c) Oscar Dowson and contributors, 2017-26 ------------------------------------------------------------------- problem nodes : 10 state variables : 4 scenarios : 2.70000e+01 existing cuts : false options solver : serial mode risk measure : SDDP.Expectation() sampling scheme : SDDP.InSampleMonteCarlo subproblem structure VariableRef : [24, 24] AffExpr in MOI.EqualTo{Float64} : [3, 3] AffExpr in MOI.GreaterThan{Float64} : [1, 1] AffExpr in MOI.LessThan{Float64} : [1, 6] VariableRef in MOI.GreaterThan{Float64} : [20, 20] VariableRef in MOI.LessThan{Float64} : [1, 2] numerical stability report matrix range [1e+00, 8e+01] objective range [1e+00, 1e+03] bounds range [6e+01, 6e+01] rhs range [2e+02, 3e+03] ------------------------------------------------------------------- iteration simulation bound time (s) solves pid ------------------------------------------------------------------- 1 8.316000e+03 0.000000e+00 9.191288e+00 14 1 40 2.308500e+03 4.074139e+03 1.016715e+01 776 1 ------------------------------------------------------------------- status : simulation_stopping total time (s) : 1.016715e+01 total solves : 776 best bound : 4.074139e+03 simulation ci : 4.224313e+03 ± 6.692189e+02 numeric issues : 0 ------------------------------------------------------------------- [ Info: air_conditioning.jl ------------------------------------------------------------------- SDDP.jl (c) Oscar Dowson and contributors, 2017-26 ------------------------------------------------------------------- problem nodes : 3 state variables : 1 scenarios : 4.00000e+00 existing cuts : false options solver : serial mode risk measure : SDDP.Expectation() sampling scheme : SDDP.InSampleMonteCarlo subproblem structure VariableRef : [6, 6] AffExpr in MOI.EqualTo{Float64} : [1, 1] VariableRef in MOI.GreaterThan{Float64} : [4, 4] VariableRef in MOI.Integer : [3, 3] VariableRef in MOI.LessThan{Float64} : [2, 3] numerical stability report matrix range [1e+00, 1e+00] objective range [1e+00, 3e+02] bounds range [1e+02, 2e+02] rhs range [0e+00, 0e+00] ------------------------------------------------------------------- iteration simulation bound time (s) solves pid ------------------------------------------------------------------- 1L 7.000000e+04 6.250000e+04 3.280203e+00 8 1 5L 4.000000e+04 6.250000e+04 4.449910e+00 52 1 11L 4.000000e+04 6.250000e+04 5.552372e+00 100 1 17L 4.000000e+04 6.250000e+04 6.679294e+00 148 1 20L 6.000000e+04 6.250000e+04 7.367381e+00 172 1 ------------------------------------------------------------------- status : simulation_stopping total time (s) : 7.367381e+00 total solves : 172 best bound : 6.250000e+04 simulation ci : 5.475000e+04 ± 7.336233e+03 numeric issues : 0 ------------------------------------------------------------------- Lower bound is: 62500.0 With first stage solutions 200.0 (production) and 100.0 (stored_production). ------------------------------------------------------------------- SDDP.jl (c) Oscar Dowson and contributors, 2017-26 ------------------------------------------------------------------- problem nodes : 3 state variables : 1 scenarios : 4.00000e+00 existing cuts : false options solver : serial mode risk measure : SDDP.Expectation() sampling scheme : SDDP.InSampleMonteCarlo subproblem structure VariableRef : [6, 6] AffExpr in MOI.EqualTo{Float64} : [1, 1] VariableRef in MOI.GreaterThan{Float64} : [4, 4] VariableRef in MOI.Integer : [3, 3] VariableRef in MOI.LessThan{Float64} : [2, 3] numerical stability report matrix range [1e+00, 1e+00] objective range [1e+00, 3e+02] bounds range [1e+02, 2e+02] rhs range [0e+00, 0e+00] ------------------------------------------------------------------- iteration simulation bound time (s) solves pid ------------------------------------------------------------------- 1 7.000000e+04 6.250000e+04 5.062101e-01 8 1 15 5.500000e+04 6.250000e+04 1.596051e+00 132 1 20 4.000000e+04 6.250000e+04 1.968970e+00 172 1 ------------------------------------------------------------------- status : simulation_stopping total time (s) : 1.968970e+00 total solves : 172 best bound : 6.250000e+04 simulation ci : 5.950000e+04 ± 8.933885e+03 numeric issues : 0 ------------------------------------------------------------------- Lower bound is: 62500.0 With first stage solutions 200.0 (production) and 100.0 (stored_production). [ Info: air_conditioning_forward.jl ------------------------------------------------------------------- SDDP.jl (c) Oscar Dowson and contributors, 2017-26 ------------------------------------------------------------------- problem nodes : 3 state variables : 1 scenarios : 4.00000e+00 existing cuts : false options solver : serial mode risk measure : SDDP.Expectation() sampling scheme : SDDP.InSampleMonteCarlo subproblem structure VariableRef : [5, 5] AffExpr in MOI.EqualTo{Float64} : [1, 1] VariableRef in MOI.GreaterThan{Float64} : [4, 4] VariableRef in MOI.LessThan{Float64} : [2, 3] numerical stability report matrix range [1e+00, 1e+00] objective range [1e+00, 3e+02] bounds range [1e+02, 2e+02] rhs range [1e+02, 3e+02] ------------------------------------------------------------------- iteration simulation bound time (s) solves pid ------------------------------------------------------------------- 1 7.000000e+04 6.250000e+04 8.925431e-01 5 1 10 4.000000e+04 6.250000e+04 1.569147e+00 50 1 ------------------------------------------------------------------- status : iteration_limit total time (s) : 1.569147e+00 total solves : 50 best bound : 6.250000e+04 simulation ci : 5.450000e+04 ± 1.135842e+04 numeric issues : 0 ------------------------------------------------------------------- [ Info: all_blacks.jl ------------------------------------------------------------------- SDDP.jl (c) Oscar Dowson and contributors, 2017-26 ------------------------------------------------------------------- problem nodes : 3 state variables : 2 scenarios : 1.00000e+00 existing cuts : false options solver : serial mode risk measure : SDDP.Expectation() sampling scheme : SDDP.InSampleMonteCarlo subproblem structure VariableRef : [6, 6] AffExpr in MOI.EqualTo{Float64} : [2, 2] VariableRef in MOI.GreaterThan{Float64} : [2, 3] VariableRef in MOI.LessThan{Float64} : [3, 3] VariableRef in MOI.ZeroOne : [3, 3] numerical stability report matrix range [1e+00, 1e+00] objective range [1e+00, 6e+00] bounds range [1e+00, 1e+02] rhs range [0e+00, 0e+00] ------------------------------------------------------------------- iteration simulation bound time (s) solves pid ------------------------------------------------------------------- 1L 6.000000e+00 9.000000e+00 7.363729e-01 6 1 20L 9.000000e+00 9.000000e+00 8.782098e-01 123 1 ------------------------------------------------------------------- status : simulation_stopping total time (s) : 8.782098e-01 total solves : 123 best bound : 9.000000e+00 simulation ci : 8.850000e+00 ± 2.940000e-01 numeric issues : 0 ------------------------------------------------------------------- [ Info: asset_management_simple.jl ------------------------------------------------------------------- SDDP.jl (c) Oscar Dowson and contributors, 2017-26 ------------------------------------------------------------------- problem nodes : 7 state variables : 2 scenarios : 8.00000e+00 existing cuts : false options solver : serial mode risk measure : SDDP.Expectation() sampling scheme : SDDP.InSampleMonteCarlo subproblem structure VariableRef : [5, 7] AffExpr in MOI.EqualTo{Float64} : [1, 1] VariableRef in MOI.GreaterThan{Float64} : [3, 5] VariableRef in MOI.LessThan{Float64} : [1, 1] numerical stability report matrix range [1e+00, 1e+00] objective range [1e+00, 4e+00] bounds range [1e+03, 1e+03] rhs range [6e+01, 8e+01] ------------------------------------------------------------------- iteration simulation bound time (s) solves pid ------------------------------------------------------------------- 5 -1.109375e+01 2.605769e-01 2.714257e+00 87 1 10 -1.109375e+01 2.605769e-01 2.726219e+00 142 1 15 3.105797e+00 5.434132e-01 2.739270e+00 197 1 20 -2.463349e+01 1.503415e+00 2.753884e+00 252 1 25 -1.421085e-14 1.514085e+00 2.766745e+00 307 1 30 4.864000e+01 1.514085e+00 5.963580e+00 394 1 35 4.864000e+01 1.514085e+00 5.977186e+00 449 1 40 -8.870299e+00 1.514085e+00 5.993135e+00 504 1 45 -1.428571e+00 1.514085e+00 6.018632e+00 559 1 48 -1.428571e+00 1.514085e+00 6.029041e+00 592 1 ------------------------------------------------------------------- status : simulation_stopping total time (s) : 6.029041e+00 total solves : 592 best bound : 1.514085e+00 simulation ci : 2.494033e+00 ± 5.472486e+00 numeric issues : 0 ------------------------------------------------------------------- [ Info: asset_management_stagewise.jl ------------------------------------------------------------------- SDDP.jl (c) Oscar Dowson and contributors, 2017-26 ------------------------------------------------------------------- problem nodes : 7 state variables : 2 scenarios : 3.20000e+01 existing cuts : false options solver : serial mode risk measure : #108 sampling scheme : SDDP.InSampleMonteCarlo subproblem structure VariableRef : [5, 7] AffExpr in MOI.EqualTo{Float64} : [1, 1] VariableRef in MOI.GreaterThan{Float64} : [2, 5] VariableRef in MOI.LessThan{Float64} : [1, 1] numerical stability report matrix range [1e+00, 1e+00] objective range [2e-02, 4e+00] bounds range [1e+03, 1e+03] rhs range [6e+01, 8e+01] ------------------------------------------------------------------- iteration simulation bound time (s) solves pid ------------------------------------------------------------------- 10 1.395796e+01 1.428818e+00 2.334038e+00 278 1 20 1.440356e+01 1.278425e+00 2.369707e+00 428 1 30 8.388546e+00 1.278425e+00 2.429661e+00 706 1 40 6.666667e-03 1.278410e+00 2.467215e+00 856 1 50 -5.614035e+00 1.278410e+00 2.527276e+00 1134 1 60 1.426676e+01 1.278410e+00 2.569499e+00 1284 1 64 1.261296e+01 1.278410e+00 2.587627e+00 1344 1 ------------------------------------------------------------------- status : simulation_stopping total time (s) : 2.587627e+00 total solves : 1344 best bound : 1.278410e+00 simulation ci : 8.172580e-01 ± 5.385320e+00 numeric issues : 0 ------------------------------------------------------------------- ------------------------------------------------------------------- SDDP.jl (c) Oscar Dowson and contributors, 2017-26 ------------------------------------------------------------------- problem nodes : 7 state variables : 2 scenarios : 3.20000e+01 existing cuts : false options solver : serial mode risk measure : #108 sampling scheme : SDDP.InSampleMonteCarlo subproblem structure VariableRef : [5, 7] AffExpr in MOI.EqualTo{Float64} : [1, 1] VariableRef in MOI.GreaterThan{Float64} : [2, 5] VariableRef in MOI.LessThan{Float64} : [1, 1] numerical stability report matrix range [1e+00, 1e+00] objective range [2e-02, 4e+00] bounds range [1e+03, 1e+03] rhs range [6e+01, 8e+01] ------------------------------------------------------------------- iteration simulation bound time (s) solves pid ------------------------------------------------------------------- 10 1.111809e+00 1.278488e+00 1.080932e+00 278 1 20 1.111084e+01 1.278410e+00 1.138539e+00 428 1 30 2.293779e+01 1.278410e+00 1.228925e+00 706 1 40 1.426676e+01 1.278410e+00 1.316457e+00 856 1 ------------------------------------------------------------------- status : simulation_stopping total time (s) : 1.316457e+00 total solves : 856 best bound : 1.278410e+00 simulation ci : 3.654300e+00 ± 6.176856e+00 numeric issues : 0 ------------------------------------------------------------------- [ Info: belief.jl ------------------------------------------------------------------- SDDP.jl (c) Oscar Dowson and contributors, 2017-26 ------------------------------------------------------------------- problem nodes : 4 state variables : 1 scenarios : Inf existing cuts : false options solver : serial mode risk measure : SDDP.Expectation() sampling scheme : SDDP.InSampleMonteCarlo subproblem structure VariableRef : [7, 7] AffExpr in MOI.EqualTo{Float64} : [1, 1] AffExpr in MOI.GreaterThan{Float64} : [2, 2] VariableRef in MOI.EqualTo{Float64} : [1, 1] VariableRef in MOI.GreaterThan{Float64} : [5, 5] VariableRef in MOI.LessThan{Float64} : [3, 3] numerical stability report matrix range [1e+00, 1e+00] objective range [1e+00, 2e+00] bounds range [2e+00, 1e+02] rhs range [0e+00, 0e+00] ------------------------------------------------------------------- iteration simulation bound time (s) solves pid ------------------------------------------------------------------- 10 2.694235e+00 1.060052e+01 7.362941e+00 900 1 20 5.498088e+00 1.456766e+01 7.836404e+00 1720 1 30 2.912197e+01 1.665921e+01 8.913827e+00 3036 1 40 1.608515e+01 1.792397e+01 1.119082e+01 4192 1 50 3.997965e+00 1.830624e+01 1.224837e+01 5020 1 60 1.102045e+01 1.840685e+01 1.344498e+01 5808 1 70 8.045596e+00 1.846781e+01 1.460680e+01 6540 1 80 4.710242e+01 1.851858e+01 1.546923e+01 7088 1 90 3.901806e+01 1.865685e+01 1.744770e+01 8180 1 100 8.003646e+00 1.869095e+01 1.843624e+01 8664 1 ------------------------------------------------------------------- status : iteration_limit total time (s) : 1.843624e+01 total solves : 8664 best bound : 1.869095e+01 simulation ci : 2.075231e+01 ± 4.077473e+00 numeric issues : 0 ------------------------------------------------------------------- [ Info: biobjective_hydro.jl ------------------------------------------------------------------- SDDP.jl (c) Oscar Dowson and contributors, 2017-26 ------------------------------------------------------------------- problem nodes : 3 state variables : 1 scenarios : 1.33100e+03 existing cuts : false options solver : serial mode risk measure : SDDP.Expectation() sampling scheme : SDDP.InSampleMonteCarlo subproblem structure VariableRef : [9, 9] AffExpr in MOI.EqualTo{Float64} : [2, 4] AffExpr in MOI.GreaterThan{Float64} : [3, 5] VariableRef in MOI.GreaterThan{Float64} : [8, 8] VariableRef in MOI.LessThan{Float64} : [5, 6] ------------------------------------------------------------------- iteration simulation bound time (s) solves pid ------------------------------------------------------------------- 1 0.000000e+00 0.000000e+00 4.374883e+00 36 1 10 0.000000e+00 0.000000e+00 4.427978e+00 360 1 ------------------------------------------------------------------- status : iteration_limit total time (s) : 4.427978e+00 total solves : 360 best bound : 0.000000e+00 simulation ci : 0.000000e+00 ± 0.000000e+00 numeric issues : 0 ------------------------------------------------------------------- ------------------------------------------------------------------- SDDP.jl (c) Oscar Dowson and contributors, 2017-26 ------------------------------------------------------------------- problem nodes : 3 state variables : 1 scenarios : 1.33100e+03 existing cuts : true options solver : serial mode risk measure : SDDP.Expectation() sampling scheme : SDDP.InSampleMonteCarlo subproblem structure VariableRef : [9, 9] AffExpr in MOI.EqualTo{Float64} : [2, 4] AffExpr in MOI.GreaterThan{Float64} : [3, 7] VariableRef in MOI.EqualTo{Float64} : [1, 1] VariableRef in MOI.GreaterThan{Float64} : [8, 8] VariableRef in MOI.LessThan{Float64} : [5, 6] ------------------------------------------------------------------- iteration simulation bound time (s) solves pid ------------------------------------------------------------------- 1 9.500000e+02 5.500000e+02 7.864952e-03 407 1 10 2.850000e+02 5.728212e+02 7.847214e-02 731 1 ------------------------------------------------------------------- status : iteration_limit total time (s) : 7.847214e-02 total solves : 731 best bound : 5.728212e+02 simulation ci : 6.480000e+02 ± 1.400040e+02 numeric issues : 0 ------------------------------------------------------------------- ------------------------------------------------------------------- SDDP.jl (c) Oscar Dowson and contributors, 2017-26 ------------------------------------------------------------------- problem nodes : 3 state variables : 1 scenarios : 1.33100e+03 existing cuts : true options solver : serial mode risk measure : SDDP.Expectation() sampling scheme : SDDP.InSampleMonteCarlo subproblem structure VariableRef : [9, 9] AffExpr in MOI.EqualTo{Float64} : [2, 4] AffExpr in MOI.GreaterThan{Float64} : [3, 13] VariableRef in MOI.EqualTo{Float64} : [1, 1] VariableRef in MOI.GreaterThan{Float64} : [8, 8] VariableRef in MOI.LessThan{Float64} : [5, 6] ------------------------------------------------------------------- iteration simulation bound time (s) solves pid ------------------------------------------------------------------- 1 4.150000e+02 3.347014e+02 7.109880e-03 778 1 10 2.825000e+02 3.465177e+02 7.552791e-02 1102 1 ------------------------------------------------------------------- status : iteration_limit total time (s) : 7.552791e-02 total solves : 1102 best bound : 3.465177e+02 simulation ci : 3.598954e+02 ± 6.281469e+01 numeric issues : 0 ------------------------------------------------------------------- ------------------------------------------------------------------- SDDP.jl (c) Oscar Dowson and contributors, 2017-26 ------------------------------------------------------------------- problem nodes : 3 state variables : 1 scenarios : 1.33100e+03 existing cuts : true options solver : serial mode risk measure : SDDP.Expectation() sampling scheme : SDDP.InSampleMonteCarlo subproblem structure VariableRef : [9, 9] AffExpr in MOI.EqualTo{Float64} : [2, 4] AffExpr in MOI.GreaterThan{Float64} : [3, 20] VariableRef in MOI.EqualTo{Float64} : [1, 1] VariableRef in MOI.GreaterThan{Float64} : [8, 8] VariableRef in MOI.LessThan{Float64} : [5, 6] ------------------------------------------------------------------- iteration simulation bound time (s) solves pid ------------------------------------------------------------------- 1 2.387500e+02 1.994007e+02 7.668018e-03 1149 1 10 2.587500e+02 2.052799e+02 7.907605e-02 1473 1 ------------------------------------------------------------------- status : iteration_limit total time (s) : 7.907605e-02 total solves : 1473 best bound : 2.052799e+02 simulation ci : 2.206923e+02 ± 2.764045e+01 numeric issues : 0 ------------------------------------------------------------------- ------------------------------------------------------------------- SDDP.jl (c) Oscar Dowson and contributors, 2017-26 ------------------------------------------------------------------- problem nodes : 3 state variables : 1 scenarios : 1.33100e+03 existing cuts : true options solver : serial mode risk measure : SDDP.Expectation() sampling scheme : SDDP.InSampleMonteCarlo subproblem structure VariableRef : [9, 9] AffExpr in MOI.EqualTo{Float64} : [2, 4] AffExpr in MOI.GreaterThan{Float64} : [3, 24] VariableRef in MOI.EqualTo{Float64} : [1, 1] VariableRef in MOI.GreaterThan{Float64} : [8, 8] VariableRef in MOI.LessThan{Float64} : [5, 6] ------------------------------------------------------------------- iteration simulation bound time (s) solves pid ------------------------------------------------------------------- 1 9.375000e+02 4.637735e+02 8.876801e-03 1520 1 10 2.875000e+02 4.661908e+02 8.514786e-02 1844 1 ------------------------------------------------------------------- status : iteration_limit total time (s) : 8.514786e-02 total solves : 1844 best bound : 4.661908e+02 simulation ci : 5.075000e+02 ± 1.503394e+02 numeric issues : 0 ------------------------------------------------------------------- ------------------------------------------------------------------- SDDP.jl (c) Oscar Dowson and contributors, 2017-26 ------------------------------------------------------------------- problem nodes : 3 state variables : 1 scenarios : 1.33100e+03 existing cuts : true options solver : serial mode risk measure : SDDP.Expectation() sampling scheme : SDDP.InSampleMonteCarlo subproblem structure VariableRef : [9, 9] AffExpr in MOI.EqualTo{Float64} : [2, 4] AffExpr in MOI.GreaterThan{Float64} : [3, 30] VariableRef in MOI.EqualTo{Float64} : [1, 1] VariableRef in MOI.GreaterThan{Float64} : [8, 8] VariableRef in MOI.LessThan{Float64} : [5, 6] ------------------------------------------------------------------- iteration simulation bound time (s) solves pid ------------------------------------------------------------------- 1 1.112500e+02 1.129545e+02 8.165836e-03 1891 1 10 1.000000e+02 1.129771e+02 7.487893e-02 2215 1 ------------------------------------------------------------------- status : iteration_limit total time (s) : 7.487893e-02 total solves : 2215 best bound : 1.129771e+02 simulation ci : 1.068750e+02 ± 2.168477e+01 numeric issues : 0 ------------------------------------------------------------------- ------------------------------------------------------------------- SDDP.jl (c) Oscar Dowson and contributors, 2017-26 ------------------------------------------------------------------- problem nodes : 3 state variables : 1 scenarios : 1.33100e+03 existing cuts : true options solver : serial mode risk measure : SDDP.Expectation() sampling scheme : SDDP.InSampleMonteCarlo subproblem structure VariableRef : [9, 9] AffExpr in MOI.EqualTo{Float64} : [2, 4] AffExpr in MOI.GreaterThan{Float64} : [3, 34] VariableRef in MOI.EqualTo{Float64} : [1, 1] VariableRef in MOI.GreaterThan{Float64} : [8, 8] VariableRef in MOI.LessThan{Float64} : [5, 6] ------------------------------------------------------------------- iteration simulation bound time (s) solves pid ------------------------------------------------------------------- 1 4.562500e+02 2.788383e+02 8.270025e-03 2262 1 10 1.625000e+02 2.794553e+02 8.084798e-02 2586 1 ------------------------------------------------------------------- status : iteration_limit total time (s) : 8.084798e-02 total solves : 2586 best bound : 2.794553e+02 simulation ci : 2.690625e+02 ± 6.720434e+01 numeric issues : 0 ------------------------------------------------------------------- ------------------------------------------------------------------- SDDP.jl (c) Oscar Dowson and contributors, 2017-26 ------------------------------------------------------------------- problem nodes : 3 state variables : 1 scenarios : 1.33100e+03 existing cuts : true options solver : serial mode risk measure : SDDP.Expectation() sampling scheme : SDDP.InSampleMonteCarlo subproblem structure VariableRef : [9, 9] AffExpr in MOI.EqualTo{Float64} : [2, 4] AffExpr in MOI.GreaterThan{Float64} : [3, 37] VariableRef in MOI.EqualTo{Float64} : [1, 1] VariableRef in MOI.GreaterThan{Float64} : [8, 8] VariableRef in MOI.LessThan{Float64} : [5, 6] ------------------------------------------------------------------- iteration simulation bound time (s) solves pid ------------------------------------------------------------------- 1 4.810804e+02 4.073537e+02 8.873224e-03 2633 1 10 5.487500e+02 4.077574e+02 8.812213e-02 2957 1 ------------------------------------------------------------------- status : iteration_limit total time (s) : 8.812213e-02 total solves : 2957 best bound : 4.077574e+02 simulation ci : 3.863418e+02 ± 9.936379e+01 numeric issues : 0 ------------------------------------------------------------------- ------------------------------------------------------------------- SDDP.jl (c) Oscar Dowson and contributors, 2017-26 ------------------------------------------------------------------- problem nodes : 3 state variables : 1 scenarios : 1.33100e+03 existing cuts : true options solver : serial mode risk measure : SDDP.Expectation() sampling scheme : SDDP.InSampleMonteCarlo subproblem structure VariableRef : [9, 9] AffExpr in MOI.EqualTo{Float64} : [2, 4] AffExpr in MOI.GreaterThan{Float64} : [3, 43] VariableRef in MOI.EqualTo{Float64} : [1, 1] VariableRef in MOI.GreaterThan{Float64} : [8, 8] VariableRef in MOI.LessThan{Float64} : [5, 6] ------------------------------------------------------------------- iteration simulation bound time (s) solves pid ------------------------------------------------------------------- 1 2.718750e+02 5.198033e+02 9.742022e-03 3004 1 10 6.771875e+02 5.210100e+02 8.625007e-02 3328 1 ------------------------------------------------------------------- status : iteration_limit total time (s) : 8.625007e-02 total solves : 3328 best bound : 5.210100e+02 simulation ci : 5.831217e+02 ± 1.295425e+02 numeric issues : 0 ------------------------------------------------------------------- ------------------------------------------------------------------- SDDP.jl (c) Oscar Dowson and contributors, 2017-26 ------------------------------------------------------------------- problem nodes : 3 state variables : 1 scenarios : 1.33100e+03 existing cuts : true options solver : serial mode risk measure : SDDP.Expectation() sampling scheme : SDDP.InSampleMonteCarlo subproblem structure VariableRef : [9, 9] AffExpr in MOI.EqualTo{Float64} : [2, 4] AffExpr in MOI.GreaterThan{Float64} : [3, 50] VariableRef in MOI.EqualTo{Float64} : [1, 1] VariableRef in MOI.GreaterThan{Float64} : [8, 8] VariableRef in MOI.LessThan{Float64} : [5, 6] ------------------------------------------------------------------- iteration simulation bound time (s) solves pid ------------------------------------------------------------------- 1 7.812500e+01 5.720558e+01 8.975029e-03 3375 1 10 5.312500e+01 5.938345e+01 7.672310e-02 3699 1 ------------------------------------------------------------------- status : iteration_limit total time (s) : 7.672310e-02 total solves : 3699 best bound : 5.938345e+01 simulation ci : 6.187500e+01 ± 1.306667e+01 numeric issues : 0 ------------------------------------------------------------------- [ Info: booking_management.jl ------------------------------------------------------------------- SDDP.jl (c) Oscar Dowson and contributors, 2017-26 ------------------------------------------------------------------- problem nodes : 5 state variables : 2 scenarios : 3.20000e+01 existing cuts : false options solver : serial mode risk measure : SDDP.Expectation() sampling scheme : SDDP.InSampleMonteCarlo subproblem structure VariableRef : [10, 10] AffExpr in MOI.EqualTo{Float64} : [2, 2] AffExpr in MOI.GreaterThan{Float64} : [2, 2] AffExpr in MOI.LessThan{Float64} : [6, 6] VariableRef in MOI.GreaterThan{Float64} : [5, 6] VariableRef in MOI.LessThan{Float64} : [6, 6] VariableRef in MOI.ZeroOne : [5, 5] numerical stability report matrix range [1e+00, 1e+00] objective range [1e+00, 6e+00] bounds range [1e+00, 1e+01] rhs range [1e+00, 1e+00] ------------------------------------------------------------------- iteration simulation bound time (s) solves pid ------------------------------------------------------------------- 5 8.000000e+00 9.440450e+00 2.399462e+00 235 1 10 1.000000e+01 9.159200e+00 2.907428e+00 310 1 15 1.000000e+01 9.159200e+00 3.463459e+00 385 1 20 1.000000e+01 9.159200e+00 4.021441e+00 460 1 25 1.000000e+01 9.159200e+00 6.863886e+00 695 1 30 4.000000e+00 9.159200e+00 7.359442e+00 770 1 35 1.000000e+01 9.159200e+00 7.856468e+00 845 1 40 1.000000e+01 9.159200e+00 8.427872e+00 920 1 ------------------------------------------------------------------- status : simulation_stopping total time (s) : 8.427872e+00 total solves : 920 best bound : 9.159200e+00 simulation ci : 7.200000e+00 ± 8.485598e-01 numeric issues : 0 ------------------------------------------------------------------- ------------------------------------------------------------------- SDDP.jl (c) Oscar Dowson and contributors, 2017-26 ------------------------------------------------------------------- problem nodes : 3 state variables : 4 scenarios : 2.16000e+02 existing cuts : false options solver : serial mode risk measure : SDDP.Expectation() sampling scheme : SDDP.InSampleMonteCarlo subproblem structure VariableRef : [18, 18] AffExpr in MOI.EqualTo{Float64} : [4, 4] AffExpr in MOI.GreaterThan{Float64} : [4, 4] AffExpr in MOI.LessThan{Float64} : [12, 12] VariableRef in MOI.GreaterThan{Float64} : [9, 10] VariableRef in MOI.LessThan{Float64} : [10, 10] VariableRef in MOI.ZeroOne : [9, 9] numerical stability report matrix range [1e+00, 1e+00] objective range [1e+00, 4e+00] bounds range [1e+00, 2e+01] rhs range [1e+00, 1e+00] ------------------------------------------------------------------- iteration simulation bound time (s) solves pid ------------------------------------------------------------------- 10 5.000000e+00 6.959189e+00 1.986463e+00 510 1 20 1.000000e+01 6.834387e+00 3.761462e+00 720 1 30 7.000000e+00 6.834387e+00 7.861903e+00 1230 1 40 1.000000e+01 6.823805e+00 9.576450e+00 1440 1 50 3.000000e+00 6.823805e+00 1.385746e+01 1950 1 60 2.000000e+00 6.823805e+00 1.562193e+01 2160 1 ------------------------------------------------------------------- status : simulation_stopping total time (s) : 1.562193e+01 total solves : 2160 best bound : 6.823805e+00 simulation ci : 6.183333e+00 ± 6.694539e-01 numeric issues : 0 ------------------------------------------------------------------- [ Info: generation_expansion.jl ------------------------------------------------------------------- SDDP.jl (c) Oscar Dowson and contributors, 2017-26 ------------------------------------------------------------------- problem nodes : 5 state variables : 5 scenarios : 3.27680e+04 existing cuts : false options solver : serial mode risk measure : SDDP.Expectation() sampling scheme : SDDP.InSampleMonteCarlo subproblem structure VariableRef : [14, 14] AffExpr in MOI.GreaterThan{Float64} : [7, 7] AffExpr in MOI.LessThan{Float64} : [4, 4] VariableRef in MOI.GreaterThan{Float64} : [8, 8] VariableRef in MOI.Integer : [5, 5] VariableRef in MOI.LessThan{Float64} : [5, 6] numerical stability report matrix range [1e+00, 1e+00] objective range [1e+00, 5e+05] bounds range [1e+00, 1e+00] rhs range [0e+00, 0e+00] ------------------------------------------------------------------- iteration simulation bound time (s) solves pid ------------------------------------------------------------------- 10 5.299676e+06 2.074407e+06 1.183999e+01 920 1 20 6.049875e+06 2.075240e+06 1.442390e+01 1340 1 30 5.496647e+05 2.078257e+06 2.450109e+01 2260 1 40 3.985383e+04 2.078257e+06 2.696678e+01 2680 1 50 2.994548e+05 2.078257e+06 3.754223e+01 3600 1 60 3.799457e+06 2.078257e+06 4.019017e+01 4020 1 61 3.549665e+06 2.078257e+06 4.043927e+01 4062 1 ------------------------------------------------------------------- status : simulation_stopping total time (s) : 4.043927e+01 total solves : 4062 best bound : 2.078257e+06 simulation ci : 2.437601e+06 ± 5.082681e+05 numeric issues : 0 ------------------------------------------------------------------- ------------------------------------------------------------------- SDDP.jl (c) Oscar Dowson and contributors, 2017-26 ------------------------------------------------------------------- problem nodes : 5 state variables : 5 scenarios : 3.27680e+04 existing cuts : false options solver : serial mode risk measure : SDDP.Expectation() sampling scheme : SDDP.InSampleMonteCarlo subproblem structure VariableRef : [14, 14] AffExpr in MOI.GreaterThan{Float64} : [7, 7] AffExpr in MOI.LessThan{Float64} : [4, 4] VariableRef in MOI.GreaterThan{Float64} : [8, 8] VariableRef in MOI.Integer : [5, 5] VariableRef in MOI.LessThan{Float64} : [5, 6] numerical stability report matrix range [1e+00, 1e+00] objective range [1e+00, 5e+05] bounds range [1e+00, 1e+00] rhs range [0e+00, 0e+00] ------------------------------------------------------------------- iteration simulation bound time (s) solves pid ------------------------------------------------------------------- 10L 2.049870e+06 2.079457e+06 2.657951e+01 920 1 20L 2.799668e+06 2.079457e+06 4.615782e+01 1340 1 30L 3.799443e+06 2.079457e+06 7.440698e+01 2260 1 40L 4.299882e+06 2.079457e+06 9.385506e+01 2680 1 ------------------------------------------------------------------- status : simulation_stopping total time (s) : 9.385506e+01 total solves : 2680 best bound : 2.079457e+06 simulation ci : 1.602238e+06 ± 4.944385e+05 numeric issues : 0 ------------------------------------------------------------------- [ Info: hydro_valley.jl [ Info: infinite_horizon_hydro_thermal.jl ------------------------------------------------------------------- SDDP.jl (c) Oscar Dowson and contributors, 2017-26 ------------------------------------------------------------------- problem nodes : 1 state variables : 1 scenarios : Inf existing cuts : false options solver : serial mode risk measure : SDDP.Expectation() sampling scheme : SDDP.InSampleMonteCarlo subproblem structure VariableRef : [8, 8] AffExpr in MOI.EqualTo{Float64} : [2, 2] VariableRef in MOI.GreaterThan{Float64} : [5, 5] VariableRef in MOI.LessThan{Float64} : [1, 1] numerical stability report matrix range [1e+00, 1e+00] objective range [1e+00, 1e+01] bounds range [5e+00, 2e+01] rhs range [0e+00, 0e+00] ------------------------------------------------------------------- iteration simulation bound time (s) solves pid ------------------------------------------------------------------- 100 1.000000e+01 1.188534e+02 3.338558e+00 1914 1 200 0.000000e+00 1.191645e+02 3.813242e+00 3840 1 300 7.500000e+01 1.191666e+02 4.304591e+00 5738 1 328 2.500000e+00 1.191667e+02 4.398859e+00 6034 1 ------------------------------------------------------------------- status : simulation_stopping total time (s) : 4.398859e+00 total solves : 6034 best bound : 1.191667e+02 simulation ci : 2.272866e+01 ± 3.596240e+00 numeric issues : 0 ------------------------------------------------------------------- Confidence_interval = 128.14 ± 13.91 ------------------------------------------------------------------- SDDP.jl (c) Oscar Dowson and contributors, 2017-26 ------------------------------------------------------------------- problem nodes : 1 state variables : 1 scenarios : Inf existing cuts : false options solver : serial mode risk measure : SDDP.Expectation() sampling scheme : SDDP.InSampleMonteCarlo subproblem structure VariableRef : [8, 8] AffExpr in MOI.EqualTo{Float64} : [2, 2] VariableRef in MOI.GreaterThan{Float64} : [5, 5] VariableRef in MOI.LessThan{Float64} : [1, 1] numerical stability report matrix range [1e+00, 1e+00] objective range [1e+00, 1e+01] bounds range [5e+00, 2e+01] rhs range [0e+00, 0e+00] ------------------------------------------------------------------- iteration simulation bound time (s) solves pid ------------------------------------------------------------------- 100 1.000000e+01 1.191232e+02 9.065959e-01 2806 1 200 0.000000e+00 1.191666e+02 1.478690e+00 4749 1 287 5.000000e+00 1.191667e+02 1.934483e+00 5662 1 ------------------------------------------------------------------- status : simulation_stopping total time (s) : 1.934483e+00 total solves : 5662 best bound : 1.191667e+02 simulation ci : 2.112369e+01 ± 3.684376e+00 numeric issues : 0 ------------------------------------------------------------------- Confidence_interval = 122.02 ± 14.06 [ Info: infinite_horizon_trivial.jl ------------------------------------------------------------------- SDDP.jl (c) Oscar Dowson and contributors, 2017-26 ------------------------------------------------------------------- problem nodes : 1 state variables : 1 scenarios : Inf existing cuts : false options solver : serial mode risk measure : SDDP.Expectation() sampling scheme : SDDP.InSampleMonteCarlo subproblem structure VariableRef : [3, 3] AffExpr in MOI.EqualTo{Float64} : [1, 1] VariableRef in MOI.GreaterThan{Float64} : [1, 1] numerical stability report matrix range [1e+00, 1e+00] objective range [1e+00, 1e+00] bounds range [0e+00, 0e+00] rhs range [0e+00, 0e+00] ------------------------------------------------------------------- iteration simulation bound time (s) solves pid ------------------------------------------------------------------- 10 2.000000e+01 1.998872e+01 4.257040e-01 1033 1 20 8.000000e+00 2.000000e+01 4.566140e-01 1209 1 30 1.200000e+01 2.000000e+01 5.978310e-01 2304 1 40 3.000000e+01 2.000000e+01 6.993730e-01 2594 1 ------------------------------------------------------------------- status : simulation_stopping total time (s) : 6.993730e-01 total solves : 2594 best bound : 2.000000e+01 simulation ci : 1.970000e+01 ± 4.721453e+00 numeric issues : 0 ------------------------------------------------------------------- [ Info: inner_hydro_1d.jl Building and solving primal outer model for lower bounds ------------------------------------------------------------------- SDDP.jl (c) Oscar Dowson and contributors, 2017-26 ------------------------------------------------------------------- problem nodes : 4 state variables : 1 scenarios : 1.00000e+03 existing cuts : false options solver : serial mode risk measure : A convex combination of 0.5 * SDDP.Expectation() + 0.5 * SDDP.AVaR(0.2) sampling scheme : SDDP.InSampleMonteCarlo subproblem structure VariableRef : [9, 9] AffExpr in MOI.EqualTo{Float64} : [2, 2] VariableRef in MOI.EqualTo{Float64} : [1, 1] VariableRef in MOI.GreaterThan{Float64} : [7, 7] VariableRef in MOI.LessThan{Float64} : [6, 7] numerical stability report matrix range [1e+00, 1e+00] objective range [1e+00, 5e+01] bounds range [2e+01, 2e+02] rhs range [8e+01, 8e+01] ------------------------------------------------------------------- iteration simulation bound time (s) solves pid ------------------------------------------------------------------- 1 1.948878e+03 2.847167e+03 6.478481e-01 35 1 10 7.500000e+02 2.935390e+03 7.134070e-01 350 1 ------------------------------------------------------------------- status : iteration_limit total time (s) : 7.134070e-01 total solves : 350 best bound : 2.935390e+03 simulation ci : 1.544902e+03 ± 5.533339e+02 numeric issues : 0 ------------------------------------------------------------------- Building and solving inner model for upper bounds: Node: 3 - elapsed time: 0.36 plus 0.73 for vertex selection. Node: 2 - elapsed time: 0.3 plus 0.02 for vertex selection. Node: 1 - elapsed time: 0.56 plus 0.02 for vertex selection. First-stage upper bound: 2969.680973503913 Total time for upper bound: 1.987416724 Bounds: Risk-neutral confidence interval: 1411.99 ± 82.02 Risk-adjusted lower bound: 2935.39 Risk-adjusted upper bound: 2969.68 [ Info: no_strong_duality.jl ------------------------------------------------------------------- SDDP.jl (c) Oscar Dowson and contributors, 2017-26 ------------------------------------------------------------------- problem nodes : 1 state variables : 1 scenarios : Inf existing cuts : false options solver : serial mode risk measure : SDDP.Expectation() sampling scheme : SDDP.InSampleMonteCarlo subproblem structure VariableRef : [3, 3] AffExpr in MOI.EqualTo{Float64} : [1, 1] VariableRef in MOI.GreaterThan{Float64} : [1, 1] numerical stability report matrix range [1e+00, 1e+00] objective range [1e+00, 1e+00] bounds range [0e+00, 0e+00] rhs range [0e+00, 0e+00] ------------------------------------------------------------------- iteration simulation bound time (s) solves pid ------------------------------------------------------------------- 1 1.000000e+00 1.500000e+00 1.289201e-02 3 1 40 2.000000e+00 2.000000e+00 3.569901e-01 604 1 ------------------------------------------------------------------- status : simulation_stopping total time (s) : 3.569901e-01 total solves : 604 best bound : 2.000000e+00 simulation ci : 2.150000e+00 ± 5.038753e-01 numeric issues : 0 ------------------------------------------------------------------- [ Info: objective_state_newsvendor.jl ------------------------------------------------------------------- SDDP.jl (c) Oscar Dowson and contributors, 2017-26 ------------------------------------------------------------------- problem nodes : 3 state variables : 1 scenarios : 8.51840e+04 existing cuts : false options solver : serial mode risk measure : SDDP.Expectation() sampling scheme : SDDP.InSampleMonteCarlo subproblem structure VariableRef : [6, 6] AffExpr in MOI.EqualTo{Float64} : [1, 3] AffExpr in MOI.LessThan{Float64} : [2, 2] VariableRef in MOI.GreaterThan{Float64} : [3, 4] VariableRef in MOI.LessThan{Float64} : [3, 3] numerical stability report matrix range [8e-01, 2e+00] objective range [1e+00, 2e+00] bounds range [1e+00, 1e+02] rhs range [5e+01, 5e+01] ------------------------------------------------------------------- iteration simulation bound time (s) solves pid ------------------------------------------------------------------- 10 3.675000e+00 4.115510e+00 1.536411e+00 1350 1 20 5.062500e+00 4.110713e+00 1.757119e+00 2700 1 30 4.500000e+00 4.104200e+00 1.990628e+00 4050 1 40 3.812500e+00 4.102669e+00 2.221320e+00 5400 1 50 4.725000e+00 4.095504e+00 2.473327e+00 6750 1 60 4.050000e+00 4.092999e+00 2.725847e+00 8100 1 70 4.606250e+00 4.091524e+00 2.984589e+00 9450 1 80 3.875000e+00 4.089694e+00 3.247143e+00 10800 1 90 3.750000e+00 4.089490e+00 3.520217e+00 12150 1 100 5.125000e+00 4.087894e+00 3.797246e+00 13500 1 110 4.500000e+00 4.087478e+00 4.072256e+00 14850 1 120 3.650000e+00 4.086704e+00 4.353884e+00 16200 1 130 4.406250e+00 4.086063e+00 4.647783e+00 17550 1 140 3.375000e+00 4.085981e+00 4.925156e+00 18900 1 150 3.000000e+00 4.085945e+00 5.226290e+00 20250 1 160 3.812500e+00 4.085838e+00 5.527036e+00 21600 1 170 4.250000e+00 4.085728e+00 6.234423e+00 22950 1 180 3.243750e+00 4.085593e+00 6.548556e+00 24300 1 190 4.306250e+00 4.085487e+00 6.864301e+00 25650 1 200 5.237500e+00 4.085446e+00 7.194021e+00 27000 1 210 4.500000e+00 4.085441e+00 7.518473e+00 28350 1 220 3.612500e+00 4.085405e+00 7.843523e+00 29700 1 230 3.700000e+00 4.085382e+00 8.167145e+00 31050 1 240 3.437500e+00 4.085254e+00 8.473951e+00 32400 1 250 4.100000e+00 4.085115e+00 8.791973e+00 33750 1 260 3.000000e+00 4.084973e+00 9.113451e+00 35100 1 270 4.918750e+00 4.084943e+00 9.431663e+00 36450 1 280 2.756250e+00 4.084920e+00 9.781477e+00 37800 1 290 3.737500e+00 4.084868e+00 1.014159e+01 39150 1 300 5.750000e+00 4.084868e+00 1.049807e+01 40500 1 310 5.156250e+00 4.084858e+00 1.085804e+01 41850 1 320 3.131250e+00 4.084855e+00 1.120390e+01 43200 1 330 4.125000e+00 4.084846e+00 1.155137e+01 44550 1 340 5.875000e+00 4.084820e+00 1.190561e+01 45900 1 350 4.587500e+00 4.084810e+00 1.226715e+01 47250 1 360 5.087500e+00 4.084805e+00 1.263545e+01 48600 1 370 4.393750e+00 4.084802e+00 1.299586e+01 49950 1 380 4.750000e+00 4.084792e+00 1.335712e+01 51300 1 390 4.437500e+00 4.084785e+00 1.374208e+01 52650 1 400 4.181250e+00 4.084785e+00 1.410236e+01 54000 1 410 3.650000e+00 4.084777e+00 1.447638e+01 55350 1 420 3.750000e+00 4.084769e+00 1.485785e+01 56700 1 430 3.725000e+00 4.084762e+00 1.521487e+01 58050 1 440 4.218750e+00 4.084751e+00 1.558500e+01 59400 1 450 5.500000e+00 4.084751e+00 1.595355e+01 60750 1 460 3.637500e+00 4.084747e+00 1.631842e+01 62100 1 470 2.993750e+00 4.084743e+00 1.669964e+01 63450 1 480 5.237500e+00 4.084743e+00 1.708746e+01 64800 1 490 4.212500e+00 4.084743e+00 1.746429e+01 66150 1 500 3.843750e+00 4.084743e+00 1.784234e+01 67500 1 510 3.425000e+00 4.084743e+00 1.830007e+01 68850 1 520 4.293750e+00 4.084743e+00 1.865333e+01 70200 1 530 2.818750e+00 4.084740e+00 1.904451e+01 71550 1 540 4.668750e+00 4.084740e+00 1.941402e+01 72900 1 550 2.750000e+00 4.084740e+00 1.979832e+01 74250 1 556 4.500000e+00 4.084740e+00 2.003052e+01 75060 1 ------------------------------------------------------------------- status : time_limit total time (s) : 2.003052e+01 total solves : 75060 best bound : 4.084740e+00 simulation ci : 4.064467e+00 ± 6.399456e-02 numeric issues : 0 ------------------------------------------------------------------- ------------------------------------------------------------------- SDDP.jl (c) Oscar Dowson and contributors, 2017-26 ------------------------------------------------------------------- problem nodes : 3 state variables : 1 scenarios : 8.51840e+04 existing cuts : false options solver : serial mode risk measure : SDDP.Expectation() sampling scheme : SDDP.InSampleMonteCarlo subproblem structure VariableRef : [6, 6] AffExpr in MOI.EqualTo{Float64} : [1, 3] AffExpr in MOI.LessThan{Float64} : [2, 2] VariableRef in MOI.GreaterThan{Float64} : [3, 4] VariableRef in MOI.LessThan{Float64} : [3, 3] numerical stability report matrix range [8e-01, 2e+00] objective range [1e+00, 2e+00] bounds range [1e+00, 1e+02] rhs range [5e+01, 5e+01] ------------------------------------------------------------------- iteration simulation bound time (s) solves pid ------------------------------------------------------------------- 10 3.393750e+00 7.738095e+00 8.508031e-01 1350 1 20 3.812500e+00 4.743359e+00 1.612616e+00 2700 1 30 5.250000e+00 4.047941e+00 2.690793e+00 4050 1 40 4.525000e+00 4.047170e+00 3.984864e+00 5400 1 50 4.700000e+00 4.046680e+00 5.511208e+00 6750 1 60 3.175000e+00 4.046189e+00 7.299146e+00 8100 1 70 4.485227e+00 4.044739e+00 9.371917e+00 9450 1 80 3.475000e+00 4.044485e+00 1.162294e+01 10800 1 90 3.600000e+00 4.044432e+00 1.434356e+01 12150 1 100 3.918750e+00 4.044333e+00 1.724908e+01 13500 1 109 5.875000e+00 4.039768e+00 2.005043e+01 14715 1 ------------------------------------------------------------------- status : time_limit total time (s) : 2.005043e+01 total solves : 14715 best bound : 4.039768e+00 simulation ci : 4.043142e+00 ± 1.409588e-01 numeric issues : 0 ------------------------------------------------------------------- [ Info: sldp_example_one.jl ------------------------------------------------------------------- SDDP.jl (c) Oscar Dowson and contributors, 2017-26 ------------------------------------------------------------------- problem nodes : 8 state variables : 1 scenarios : 1.00000e+08 existing cuts : false options solver : serial mode risk measure : SDDP.Expectation() sampling scheme : SDDP.InSampleMonteCarlo subproblem structure VariableRef : [7, 7] AffExpr in MOI.EqualTo{Float64} : [1, 1] AffExpr in MOI.GreaterThan{Float64} : [2, 2] VariableRef in MOI.GreaterThan{Float64} : [4, 4] VariableRef in MOI.LessThan{Float64} : [1, 2] VariableRef in MOI.ZeroOne : [1, 1] numerical stability report matrix range [1e+00, 2e+00] objective range [5e-01, 1e+00] bounds range [1e+00, 1e+00] rhs range [1e+00, 1e+00] ------------------------------------------------------------------- iteration simulation bound time (s) solves pid ------------------------------------------------------------------- 10 3.219176e+00 1.165102e+00 1.917166e+01 1680 1 20 2.078810e+00 1.166281e+00 2.071805e+01 2560 1 30 3.973033e+00 1.166907e+00 2.246259e+01 3440 1 40 3.706337e+00 1.167312e+00 3.885215e+01 5120 1 50 3.158565e+00 1.167416e+00 4.050528e+01 6000 1 ====================================================================================== Information request received. A stacktrace will print followed by a 1.0 second profile. --trace-compile is enabled during profile collection. ====================================================================================== cmd: /opt/julia/bin/julia 88 running 1 of 1 signal (10): User defined signal 1 unknown function (ip: 0x71f0678fa061) at /lib/x86_64-linux-gnu/libc.so.6 unknown function (ip: 0x71f0678fce5c) at /lib/x86_64-linux-gnu/libc.so.6 malloc at /lib/x86_64-linux-gnu/libc.so.6 (unknown line) operator new at /workspace/srcdir/gcc-15.2.0/libstdc++-v3/libsupc++/new_op.cc:50:22 _ZN9HighsInfo11initRecordsEv at /home/pkgeval/.julia/artifacts/57846bf52e8d91e2d6dfef3b0e474315208dc524/lib/libhighs.so (unknown line) _ZN5Highs19calledOptimizeModelEv at /home/pkgeval/.julia/artifacts/57846bf52e8d91e2d6dfef3b0e474315208dc524/lib/libhighs.so (unknown line) _ZN5Highs13optimizeModelEv at /home/pkgeval/.julia/artifacts/57846bf52e8d91e2d6dfef3b0e474315208dc524/lib/libhighs.so (unknown line) _ZN17HighsLpRelaxation3runEb at /home/pkgeval/.julia/artifacts/57846bf52e8d91e2d6dfef3b0e474315208dc524/lib/libhighs.so (unknown line) _ZN17HighsLpRelaxation9resolveLpEP11HighsDomain at /home/pkgeval/.julia/artifacts/57846bf52e8d91e2d6dfef3b0e474315208dc524/lib/libhighs.so (unknown line) _ZN18HighsMipSolverData14evaluateRootLpEv at /home/pkgeval/.julia/artifacts/57846bf52e8d91e2d6dfef3b0e474315208dc524/lib/libhighs.so (unknown line) _ZN18HighsMipSolverData16evaluateRootNodeEv at /home/pkgeval/.julia/artifacts/57846bf52e8d91e2d6dfef3b0e474315208dc524/lib/libhighs.so (unknown line) _ZN14HighsMipSolver3runEv at /home/pkgeval/.julia/artifacts/57846bf52e8d91e2d6dfef3b0e474315208dc524/lib/libhighs.so (unknown line) _ZN5Highs12callSolveMipEv at /home/pkgeval/.julia/artifacts/57846bf52e8d91e2d6dfef3b0e474315208dc524/lib/libhighs.so (unknown line) _ZN5Highs19calledOptimizeModelEv at /home/pkgeval/.julia/artifacts/57846bf52e8d91e2d6dfef3b0e474315208dc524/lib/libhighs.so (unknown line) _ZN5Highs13optimizeModelEv at /home/pkgeval/.julia/artifacts/57846bf52e8d91e2d6dfef3b0e474315208dc524/lib/libhighs.so (unknown line) _ZN5Highs3runEv at /home/pkgeval/.julia/artifacts/57846bf52e8d91e2d6dfef3b0e474315208dc524/lib/libhighs.so (unknown line) Highs_run at /home/pkgeval/.julia/packages/HiGHS/p35Je/src/gen/libhighs.jl:328:0 [inlined] _Highs_run_workaround_issue_316 at /home/pkgeval/.julia/packages/HiGHS/p35Je/src/MOI_wrapper.jl:2253:0 [inlined] #47 at /home/pkgeval/.julia/packages/HiGHS/p35Je/src/MOI_wrapper.jl:2300:0 [inlined] disable_sigint at ./c.jl:167:0 (pc: 4) optimize! at /home/pkgeval/.julia/packages/HiGHS/p35Je/src/MOI_wrapper.jl:2300:0 (pc: 249) optimize! at /home/pkgeval/.julia/packages/MathOptInterface/iaRBO/src/Bridges/bridge_optimizer.jl:367:0 [inlined] optimize! at /home/pkgeval/.julia/packages/MathOptInterface/iaRBO/src/Utilities/cachingoptimizer.jl:379:0 (pc: 139) unknown function (ip: 0x71f0499dc372) at (unknown file) _jl_invoke at /source/src/gf.c:4138:23 [inlined] ijl_apply_generic at /source/src/gf.c:4364:12 #optimize!#96 at /home/pkgeval/.julia/packages/JuMP/EHXNP/src/optimizer_interface.jl:610:0 (pc: 345) optimize! at /home/pkgeval/.julia/packages/JuMP/EHXNP/src/optimizer_interface.jl:560:0 [inlined] #solve_subproblem#78 at /home/pkgeval/.julia/packages/SDDP/R1Ovj/src/algorithm.jl:518:0 (pc: 53) solve_subproblem at /home/pkgeval/.julia/packages/SDDP/R1Ovj/src/algorithm.jl:492:0 (pc: 7) unknown function (ip: 0x71f02933e27c) at (unknown file) _jl_invoke at /source/src/gf.c:4138:23 [inlined] ijl_apply_generic at /source/src/gf.c:4364:12 #_simulate#106 at /home/pkgeval/.julia/packages/SDDP/R1Ovj/src/algorithm.jl:1383:0 (pc: 367) _simulate at /home/pkgeval/.julia/packages/SDDP/R1Ovj/src/algorithm.jl:1335:0 [inlined] #227 at /home/pkgeval/.julia/packages/SDDP/R1Ovj/src/plugins/parallel_schemes.jl:72:0 [inlined] iterate at ./generator.jl:48:0 [inlined] collect_to! at ./array.jl:914:0 [inlined] collect_to_with_first! at ./array.jl:869:0 [inlined] _collect at ./array.jl:863:0 (pc: 88) collect_similar at ./array.jl:768:0 [inlined] map at ./abstractarray.jl:3468:0 [inlined] #_simulate#225 at /home/pkgeval/.julia/packages/SDDP/R1Ovj/src/plugins/parallel_schemes.jl:71:0 [inlined] _simulate at /home/pkgeval/.julia/packages/SDDP/R1Ovj/src/plugins/parallel_schemes.jl:63:0 [inlined] #simulate#108 at /home/pkgeval/.julia/packages/SDDP/R1Ovj/src/algorithm.jl:1552:0 [inlined] simulate at /home/pkgeval/.julia/packages/SDDP/R1Ovj/src/algorithm.jl:1541:0 (pc: 41) simulate at /home/pkgeval/.julia/packages/SDDP/R1Ovj/src/algorithm.jl:1541:0 [inlined] simulator at /home/pkgeval/.julia/packages/SDDP/R1Ovj/src/plugins/stopping_rules.jl:326:0 (pc: 12) convergence_test at /home/pkgeval/.julia/packages/SDDP/R1Ovj/src/plugins/stopping_rules.jl:413:0 (pc: 142) _jl_invoke at /source/src/gf.c:4138:23 [inlined] ijl_apply_generic at /source/src/gf.c:4364:12 convergence_test at /home/pkgeval/.julia/packages/SDDP/R1Ovj/src/plugins/headers.jl:93:0 (pc: 37) iteration at /home/pkgeval/.julia/packages/SDDP/R1Ovj/src/algorithm.jl:1000:0 (pc: 926) #master_loop##0 at /home/pkgeval/.julia/packages/SDDP/R1Ovj/src/plugins/parallel_schemes.jl:51:0 (pc: 3) disable_sigint at ./c.jl:167:0 [inlined] master_loop at /home/pkgeval/.julia/packages/SDDP/R1Ovj/src/plugins/parallel_schemes.jl:50:0 (pc: 7) unknown function (ip: 0x71f0499e13bd) at (unknown file) _jl_invoke at /source/src/gf.c:4138:23 [inlined] ijl_apply_generic at /source/src/gf.c:4364:12 #train#91 at /home/pkgeval/.julia/packages/SDDP/R1Ovj/src/algorithm.jl:1292:0 (pc: 456) train at /home/pkgeval/.julia/packages/SDDP/R1Ovj/src/algorithm.jl:1117:0 [inlined] sldp_example_one at /home/pkgeval/.julia/packages/SDDP/R1Ovj/docs/src/examples/sldp_example_one.jl:44:0 (pc: 16) unknown function (ip: 0x71f028dba00f) at (unknown file) _jl_invoke at /source/src/gf.c:4138:23 [inlined] ijl_apply_generic at /source/src/gf.c:4364:12 jl_apply at /source/src/julia.h:2388:12 [inlined] do_call at /source/src/interpreter.c:123:26 eval_value at /source/src/interpreter.c:243:16 eval_stmt_value at /source/src/interpreter.c:194:23 [inlined] eval_body at /source/src/interpreter.c:706:13 jl_interpret_toplevel_thunk at /source/src/interpreter.c:897:21 ijl_eval_thunk at /source/src/toplevel.c:768:18 jl_toplevel_eval_flex at /source/src/toplevel.c:712:26 jl_eval_toplevel_stmts at /source/src/toplevel.c:602:15 jl_toplevel_eval_flex at /source/src/toplevel.c:684:27 ijl_toplevel_eval at /source/src/toplevel.c:782:12 ijl_toplevel_eval_in at /source/src/toplevel.c:827:13 eval at ./boot.jl:521:0 (pc: 1) include_string at ./loading.jl:3132:0 (pc: 207) _jl_invoke at /source/src/gf.c:4138:23 [inlined] ijl_apply_generic at /source/src/gf.c:4364:12 _include at ./loading.jl:3192:0 (pc: 122) include at ./Base.jl:327:0 (pc: 1) IncludeInto at ./Base.jl:328:0 [inlined] macro expansion at /home/pkgeval/.julia/packages/SDDP/R1Ovj/test/runtests.jl:17:0 [inlined] macro expansion at /source/usr/share/julia/stdlib/v1.14/Test/src/Test.jl:2246:0 [inlined] util_test_directory at /home/pkgeval/.julia/packages/SDDP/R1Ovj/test/runtests.jl:15:0 (pc: 599) util_test_directory at /home/pkgeval/.julia/packages/SDDP/R1Ovj/test/runtests.jl:11:0 (pc: 4) unknown function (ip: 0x71f0499cbc92) at (unknown file) _jl_invoke at /source/src/gf.c:4138:23 [inlined] ijl_apply_generic at /source/src/gf.c:4364:12 jl_apply at /source/src/julia.h:2388:12 [inlined] do_call at /source/src/interpreter.c:123:26 eval_value at /source/src/interpreter.c:243:16 eval_stmt_value at /source/src/interpreter.c:194:23 [inlined] eval_body at /source/src/interpreter.c:706:13 eval_body at /source/src/interpreter.c:563:21 eval_body at /source/src/interpreter.c:571:21 eval_body at /source/src/interpreter.c:571:21 eval_body at /source/src/interpreter.c:571:21 jl_interpret_toplevel_thunk at /source/src/interpreter.c:897:21 ijl_eval_thunk at /source/src/toplevel.c:768:18 jl_toplevel_eval_flex at /source/src/toplevel.c:712:26 jl_eval_toplevel_stmts at /source/src/toplevel.c:602:15 jl_toplevel_eval_flex at /source/src/toplevel.c:684:27 ijl_toplevel_eval at /source/src/toplevel.c:782:12 ijl_toplevel_eval_in at /source/src/toplevel.c:827:13 eval at ./boot.jl:521:0 (pc: 1) include_string at ./loading.jl:3132:0 (pc: 207) _jl_invoke at /source/src/gf.c:4138:23 [inlined] ijl_apply_generic at /source/src/gf.c:4364:12 _include at ./loading.jl:3192:0 (pc: 122) include at ./Base.jl:327:0 (pc: 1) IncludeInto at ./Base.jl:328:0 (pc: 2) jfptr_IncludeInto_1.1 at /opt/julia/lib/julia/sys.so (unknown line) _jl_invoke at /source/src/gf.c:4138:23 [inlined] ijl_apply_generic at /source/src/gf.c:4364:12 jl_apply at /source/src/julia.h:2388:12 [inlined] do_call at /source/src/interpreter.c:123:26 eval_value at /source/src/interpreter.c:243:16 eval_stmt_value at /source/src/interpreter.c:194:23 [inlined] eval_body at /source/src/interpreter.c:706:13 jl_interpret_toplevel_thunk at /source/src/interpreter.c:897:21 ijl_eval_thunk at /source/src/toplevel.c:768:18 jl_toplevel_eval_flex at /source/src/toplevel.c:712:26 jl_eval_toplevel_stmts at /source/src/toplevel.c:602:15 jl_toplevel_eval_flex at /source/src/toplevel.c:684:27 ijl_toplevel_eval at /source/src/toplevel.c:782:12 ijl_toplevel_eval_in at /source/src/toplevel.c:827:13 eval at ./boot.jl:521:0 (pc: 1) exec_options at ./client.jl:321:0 (pc: 425) _start at ./client.jl:596:0 (pc: 294) jfptr__start_0.1 at /opt/julia/lib/julia/sys.so (unknown line) _jl_invoke at /source/src/gf.c:4138:23 [inlined] ijl_apply_generic at /source/src/gf.c:4364:12 jl_apply at /source/src/julia.h:2388:12 [inlined] true_main at /source/src/jlapi.c:971:29 jl_repl_entrypoint at /source/src/jlapi.c:1138:15 main at /source/cli/loader_exe.c:58:15 unknown function (ip: 0x71f06788c249) at /lib/x86_64-linux-gnu/libc.so.6 __libc_start_main at /lib/x86_64-linux-gnu/libc.so.6 (unknown line) unknown function (ip: 0x4010b8) at /workspace/srcdir/glibc-2.17/csu/../sysdeps/x86_64/start.S unknown function (ip: (nil)) at (unknown file) ============================================================== Profile collected. A report will print at the next yield point. Disabling --trace-compile ============================================================== ====================================================================================== Information request received. A stacktrace will print followed by a 1.0 second profile. --trace-compile is enabled during profile collection. ====================================================================================== cmd: /opt/julia/bin/julia 1 running 0 of 1 signal (10): User defined signal 1 epoll_pwait at /lib/x86_64-linux-gnu/libc.so.6 (unknown line) uv__io_poll at /workspace/srcdir/libuv/src/unix/linux.c:1404:0 uv_run at /workspace/srcdir/libuv/src/unix/core.c:430:0 ijl_task_get_next at /source/src/scheduler.c:457:34 wait at ./task.jl:1246:0 (pc: 107) wait_forever at ./task.jl:1168:0 (pc: 4) jfptr_wait_forever_0.1 at /opt/julia/lib/julia/sys.so (unknown line) _jl_invoke at /source/src/gf.c:4138:23 [inlined] ijl_apply_generic at /source/src/gf.c:4364:12 jl_apply at /source/src/julia.h:2388:12 [inlined] start_task at /source/src/task.c:1275:19 unknown function (ip: (nil)) at (unknown file) ============================================================== Profile collected. A report will print at the next yield point. Disabling --trace-compile ============================================================== ┌ Warning: There were no samples collected in one or more groups. │ This may be due to idle threads, or you may need to run your │ program longer (perhaps by running it multiple times), │ or adjust the delay between samples with `Profile.init()`. └ @ Profile /opt/julia/share/julia/stdlib/v1.14/Profile/src/Profile.jl:1361 Overhead ╎ [+additional indent] Count File:Line Function ========================================================= Thread 1 (default) Task 0x00007660211394b0 Total snapshots: 356. Utilization: 0% ╎356 @Base/task.jl:1168 wait_forever() 355╎ 356 @Base/task.jl:1246 wait() 60 [1] signal 15: Terminated in expression starting at /PkgEval.jl/scripts/evaluate.jl:214 epoll_pwait at /lib/x86_64-linux-gnu/libc.so.6 (unknown line) uv__io_poll at /workspace/srcdir/libuv/src/unix/linux.c:1404:0 uv_run at /workspace/srcdir/libuv/src/unix/core.c:430:0 ijl_task_get_next at /source/src/scheduler.c:457:34 wait at ./task.jl:1246:0 (pc: 107) wait_forever at ./task.jl:1168:0 (pc: 4) jfptr_wait_forever_0.1 at /opt/julia/lib/julia/sys.so (unknown line) _jl_invoke at /source/src/gf.c:4138:23 [inlined] ijl_apply_generic at /source/src/gf.c:4364:12 jl_apply at /source/src/julia.h:2388:12 [inlined] start_task at /source/src/task.c:1275:19 unknown function (ip: (nil)) at (unknown file) Allocations: 24362055 (Pool: 24361265; Big: 790); GC: 16 [88] signal 15: Terminated in expression starting at /home/pkgeval/.julia/packages/SDDP/R1Ovj/docs/src/examples/sldp_example_one.jl:49 _ZN4llvm8dyn_castINS_13IntrinsicInstENS_11InstructionEEEDcPT0_ at /opt/julia/bin/../lib/julia/libLLVM.so.21.1jl (unknown line) _ZN4llvm9MemorySSA15createNewAccessINS_14BatchAAResultsEEEPNS_14MemoryUseOrDefEPNS_11InstructionEPT_PKS3_.constprop.0 at /opt/julia/bin/../lib/julia/libLLVM.so.21.1jl (unknown line) _ZN4llvm9MemorySSA14buildMemorySSAINS_14iterator_rangeINS_14ilist_iteratorINS_12ilist_detail12node_optionsINS_10BasicBlockELb1ELb0EvLb0EvEELb0ELb0EEEEEEEvRNS_14BatchAAResultsET_ at /opt/julia/bin/../lib/julia/libLLVM.so.21.1jl (unknown line) _ZN4llvm9MemorySSAC1ERNS_8FunctionEPNS_9AAResultsEPNS_13DominatorTreeE at /opt/julia/bin/../lib/julia/libLLVM.so.21.1jl (unknown line) _ZN4llvm17MemorySSAAnalysis3runERNS_8FunctionERNS_15AnalysisManagerIS1_JEEE at /opt/julia/bin/../lib/julia/libLLVM.so.21.1jl (unknown line) _ZN4llvm6detail17AnalysisPassModelINS_8FunctionENS_17MemorySSAAnalysisENS_15AnalysisManagerIS2_JEE11InvalidatorEJEE3runERS2_RS5_ at /opt/julia/bin/../lib/julia/libLLVM.so.21.1jl (unknown line) _ZN4llvm15AnalysisManagerINS_8FunctionEJEE13getResultImplEPNS_11AnalysisKeyERS1_ at /opt/julia/bin/../lib/julia/libLLVM.so.21.1jl (unknown line) _ZN4llvm25FunctionToLoopPassAdaptor3runERNS_8FunctionERNS_15AnalysisManagerIS1_JEEE at /opt/julia/bin/../lib/julia/libLLVM.so.21.1jl (unknown line) run at /source/usr/include/llvm/IR/PassManagerInternal.h:91:41 _ZN4llvm11PassManagerINS_8FunctionENS_15AnalysisManagerIS1_JEEEJEE3runERS1_RS3_ at /opt/julia/bin/../lib/julia/libLLVM.so.21.1jl (unknown line) run at /source/usr/include/llvm/IR/PassManagerInternal.h:91:41 _ZN4llvm27ModuleToFunctionPassAdaptor3runERNS_6ModuleERNS_15AnalysisManagerIS1_JEEE at /opt/julia/bin/../lib/julia/libLLVM.so.21.1jl (unknown line) run at /source/usr/include/llvm/IR/PassManagerInternal.h:91:41 _ZN4llvm11PassManagerINS_6ModuleENS_15AnalysisManagerIS1_JEEEJEE3runERS1_RS3_ at /opt/julia/bin/../lib/julia/libLLVM.so.21.1jl (unknown line) run at /source/src/pipeline.cpp:978:12 operator() at /source/src/jitlayers.cpp:1298:17 operator() at /source/src/jitlayers.cpp:1435:12 [inlined] optimizeModule at /source/src/jitlayers.cpp:2382:18 materialize at /source/src/jitlayers.cpp:905:31 _ZN4llvm3orc19MaterializationTask3runEv at /opt/julia/bin/../lib/julia/libLLVM.so.21.1jl (unknown line) dispatch at /source/src/julia-task-dispatcher.h:353:11 _ZN4llvm3orc16ExecutionSession22dispatchOutstandingMUsEv at /opt/julia/bin/../lib/julia/libLLVM.so.21.1jl (unknown line) _ZN4llvm3orc16ExecutionSession17OL_completeLookupESt10unique_ptrINS0_21InProgressLookupStateESt14default_deleteIS3_EESt10shared_ptrINS0_23AsynchronousSymbolQueryEESt8functionIFvRKNS_8DenseMapIPNS0_8JITDylibENS_8DenseSetINS0_15SymbolStringPtrENS_12DenseMapInfoISF_vEEEENSG_ISD_vEENS_6detail12DenseMapPairISD_SI_EEEEEE at /opt/julia/bin/../lib/julia/libLLVM.so.21.1jl (unknown line) _ZN4llvm3orc25InProgressFullLookupState8completeESt10unique_ptrINS0_21InProgressLookupStateESt14default_deleteIS3_EE at /opt/julia/bin/../lib/julia/libLLVM.so.21.1jl (unknown line) _ZN4llvm3orc16ExecutionSession19OL_applyQueryPhase1ESt10unique_ptrINS0_21InProgressLookupStateESt14default_deleteIS3_EENS_5ErrorE at /opt/julia/bin/../lib/julia/libLLVM.so.21.1jl (unknown line) _ZN4llvm3orc16ExecutionSession6lookupENS0_10LookupKindERKSt6vectorISt4pairIPNS0_8JITDylibENS0_19JITDylibLookupFlagsEESaIS8_EENS0_15SymbolLookupSetENS0_11SymbolStateENS_15unique_functionIFvNS_8ExpectedINS_8DenseMapINS0_15SymbolStringPtrENS0_17ExecutorSymbolDefENS_12DenseMapInfoISI_vEENS_6detail12DenseMapPairISI_SJ_EEEEEEEEESt8functionIFvRKNSH_IS6_NS_8DenseSetISI_SL_EENSK_IS6_vEENSN_IS6_SV_EEEEEE at /opt/julia/bin/../lib/julia/libLLVM.so.21.1jl (unknown line) publishCIs at /source/src/jitlayers.cpp:2085:14 jl_compile_codeinst_impl at /source/src/jitlayers.cpp:510:39 jl_compile_method_internal at /source/src/gf.c:3677:27 _jl_invoke at /source/src/gf.c:4130:16 [inlined] ijl_apply_generic at /source/src/gf.c:4364:12 jl_apply at /source/src/julia.h:2388:12 [inlined] jl_f_invokelatest at /source/src/builtins.c:918:23 profile_printing_listener at ./Base.jl:359:0 (pc: 49) #start_profile_listener##0 at ./Base.jl:377:0 (pc: 2) jfptr_YY.start_profile_listenerYY.YY.0_0.1 at /opt/julia/lib/julia/sys.so (unknown line) _jl_invoke at /source/src/gf.c:4138:23 [inlined] ijl_apply_generic at /source/src/gf.c:4364:12 jl_apply at /source/src/julia.h:2388:12 [inlined] start_task at /source/src/task.c:1275:19 unknown function (ip: (nil)) at (unknown file) Allocations: 727583370 (Pool: 727580316; Big: 3054); GC: 136 PkgEval terminated after 2722.69s: test duration exceeded the time limit