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Started by upstream project "gpkit_ResearchModel_SPaircraft_PR" build number 314 originally caused by: GitHub pull request #136 of commit 0b3d0a251e66bdbae8ccbdb57ed503a55b5a0a62, no merge conflicts. Running as SYSTEM [EnvInject] - Loading node environment variables. Building remotely on macys_VM in workspace /Users/jenkins/workspace/gpkit_ResearchModel_SPaircraft_PR/mosek No credentials specified Wiping out workspace first. Cloning the remote Git repository Cloning repository https://github.com/convexengineering/SPaircraft > git init /Users/jenkins/workspace/gpkit_ResearchModel_SPaircraft_PR/mosek # timeout=10 Fetching upstream changes from https://github.com/convexengineering/SPaircraft > git --version # timeout=10 > git fetch --tags --progress https://github.com/convexengineering/SPaircraft +refs/heads/*:refs/remotes/origin/* # timeout=10 > git config remote.origin.url https://github.com/convexengineering/SPaircraft # timeout=10 > git config --add remote.origin.fetch +refs/heads/*:refs/remotes/origin/* # timeout=10 > git config remote.origin.url https://github.com/convexengineering/SPaircraft # timeout=10 Fetching upstream changes from https://github.com/convexengineering/SPaircraft > git fetch --tags --progress https://github.com/convexengineering/SPaircraft +refs/pull/*:refs/remotes/origin/pr/* +refs/heads/master:refs/remotes/origin/master # timeout=10 Merging Revision 18e757e095a0ae2dda91ac64ae8fa7f24d374d8c (refs/remotes/origin/pr/136/merge) to origin/master, UserMergeOptions{mergeRemote='origin', mergeTarget='master', mergeStrategy='DEFAULT', fastForwardMode='FF'} > git rev-parse origin/master^{commit} # timeout=10 > git config core.sparsecheckout # timeout=10 > git checkout -f origin/master # timeout=3 > git merge --ff 18e757e095a0ae2dda91ac64ae8fa7f24d374d8c # timeout=10 > git rev-parse HEAD^{commit} # timeout=10 Seen branch in repository origin/CFP_h5 Seen branch in repository origin/berkPlaying Seen branch in repository origin/cruiseclimb2 Seen branch in repository origin/espInteractive Seen branch in repository origin/gp_d8 Seen branch in repository origin/integrate_pk_journal_with_master Seen branch in repository origin/master Seen branch in repository origin/pkjournal Seen branch in repository origin/pr/10/head Seen branch in repository origin/pr/10/merge Seen branch in repository origin/pr/106/head Seen branch in repository origin/pr/107/head Seen branch in repository origin/pr/11/head Seen branch in repository origin/pr/110/head Seen branch in repository origin/pr/110/merge Seen branch in repository origin/pr/113/head Seen branch in repository origin/pr/115/head Seen branch in repository origin/pr/116/head Seen branch in repository origin/pr/118/head Seen branch in repository origin/pr/119/head Seen branch in repository origin/pr/122/head Seen branch in repository origin/pr/123/head Seen branch in repository origin/pr/124/head Seen branch in repository origin/pr/127/head Seen branch in repository origin/pr/128/head Seen branch in repository origin/pr/13/head Seen branch in repository origin/pr/132/head Seen branch in repository origin/pr/133/head Seen branch in repository origin/pr/134/head Seen branch in repository origin/pr/136/head Seen branch in repository origin/pr/136/merge Seen branch in repository origin/pr/14/head Seen branch in repository origin/pr/14/merge Seen branch in repository origin/pr/3/head Seen branch in repository origin/pr/34/head Seen branch in repository origin/pr/38/head Seen branch in repository origin/pr/39/head Seen branch in repository origin/pr/4/head Seen branch in repository origin/pr/63/head Seen branch in repository origin/pr/7/head Seen branch in repository origin/pr/78/head Seen branch in repository origin/pr/78/merge Seen branch in repository origin/pr/79/head Seen branch in repository origin/pr/8/head Seen branch in repository origin/pr/85/head Seen branch in repository origin/pr/92/head Seen branch in repository origin/pr/93/head Seen branch in repository origin/pr/93/merge Seen branch in repository origin/pr/95/head Seen branch in repository origin/pr/97/head Seen branch in repository origin/python3 Seen branch in repository origin/python_abort Seen branch in repository origin/sweepvar Seen branch in repository origin/useslash Seen branch in repository origin/vectorsubs Seen 55 remote branches > git show-ref --tags -d # timeout=10 Checking out Revision 18e757e095a0ae2dda91ac64ae8fa7f24d374d8c (origin/pr/136/merge, origin/master) > git config core.sparsecheckout # timeout=10 > git checkout -f 18e757e095a0ae2dda91ac64ae8fa7f24d374d8c # timeout=3 Commit message: "Merge 0b3d0a251e66bdbae8ccbdb57ed503a55b5a0a62 into c9480738245130d24aadaaea5362698fe4d3a323" Using 'Changelog to branch' strategy. Run condition [Execution node ] enabling prebuild for step [Execute shell] Run condition [Execution node ] enabling prebuild for step [Execute Windows batch command] [Execution node] check if [macys_VM] is in [[macys, macys_VM, reynolds, reynolds-ubuntu16]] Run condition [Execution node ] enabling perform for step [Execute shell] [mosek] $ /bin/bash -xe /var/folders/42/s1whb7rd4mddfcnzk96g_d9h0000gp/T/jenkins4625906239491583416.sh + [[ macys_VM == *macys* ]] + export PATH=/usr/bin:/bin:/usr/sbin:/sbin:/usr/local/bin/ + PATH=/usr/bin:/bin:/usr/sbin:/sbin:/usr/local/bin/ + ls /Users/jenkins/workspace/gpkit_ResearchModel_SPaircraft_PR/mosek ESP README.md SPaircraft.py TASOPT TASOPT_weight_fractions.csv TESTCONFIG TESTS VSP aircraft.py csm docs fuselage.py gen_plots.py gen_tex.py geometryFlags.py horizontal_tail.py killer_plots.py landing_gear.py make_figure.py model_fitting objective_table.py percent_diff.py post_compute.py relaxed_constants.py runtests.sh sankeyplots.ipynb saveSol.py server.py setup.py simple_ac_imports.py simple_ac_imports_no_engine.py stand_alone_TASOPT_profile.py stand_alone_simple_profile.py subs vertical_tail.py wing.py wingbox.py + virtualenv /Users/jenkins/workspace/gpkit_ResearchModel_SPaircraft_PR/mosek/venv2_gpkit New python executable in /Users/jenkins/workspace/gpkit_ResearchModel_SPaircraft_PR/mosek/venv2_gpkit/bin/python Installing setuptools, pip, wheel...done. + . /Users/jenkins/workspace/gpkit_ResearchModel_SPaircraft_PR/mosek/venv2_gpkit/bin/activate ++ deactivate nondestructive ++ unset -f pydoc ++ '[' -z '' ']' ++ '[' -z '' ']' ++ '[' -n /bin/bash ']' ++ hash -r ++ '[' -z '' ']' ++ unset VIRTUAL_ENV ++ '[' '!' nondestructive = nondestructive ']' ++ VIRTUAL_ENV=/Users/jenkins/workspace/gpkit_ResearchModel_SPaircraft_PR/mosek/venv2_gpkit ++ export VIRTUAL_ENV ++ _OLD_VIRTUAL_PATH=/usr/bin:/bin:/usr/sbin:/sbin:/usr/local/bin/ ++ PATH=/Users/jenkins/workspace/gpkit_ResearchModel_SPaircraft_PR/mosek/venv2_gpkit/bin:/usr/bin:/bin:/usr/sbin:/sbin:/usr/local/bin/ ++ export PATH ++ '[' -z '' ']' ++ '[' -z '' ']' ++ _OLD_VIRTUAL_PS1= ++ '[' x '!=' x ']' +++ basename /Users/jenkins/workspace/gpkit_ResearchModel_SPaircraft_PR/mosek/venv2_gpkit ++ PS1='(venv2_gpkit) ' ++ export PS1 ++ alias pydoc ++ '[' -n /bin/bash ']' ++ hash -r ++ which pip + export PIP=/Users/jenkins/workspace/gpkit_ResearchModel_SPaircraft_PR/mosek/venv2_gpkit/bin/pip + PIP=/Users/jenkins/workspace/gpkit_ResearchModel_SPaircraft_PR/mosek/venv2_gpkit/bin/pip + pip_install pip + python /Users/jenkins/workspace/gpkit_ResearchModel_SPaircraft_PR/mosek/venv2_gpkit/bin/pip install --upgrade pip DEPRECATION: Python 2.7 will reach the end of its life on January 1st, 2020. Please upgrade your Python as Python 2.7 won't be maintained after that date. A future version of pip will drop support for Python 2.7. More details about Python 2 support in pip, can be found at https://pip.pypa.io/en/latest/development/release-process/#python-2-support Requirement already up-to-date: pip in ./venv2_gpkit/lib/python2.7/site-packages (19.2.3) + [[ macys_VM == *reynolds* ]] + [[ macys_VM == *macys* ]] + [[ mosek == mosek ]] + [[ macys_VM == macys ]] + export PATH=/Users/jenkins/workspace/gpkit_ResearchModel_SPaircraft_PR/mosek/venv2_gpkit/bin:/usr/bin:/bin:/usr/sbin:/sbin:/usr/local/bin/:/Users/jenkins/mosek/7/tools/platform/osx64x86/bin + PATH=/Users/jenkins/workspace/gpkit_ResearchModel_SPaircraft_PR/mosek/venv2_gpkit/bin:/usr/bin:/bin:/usr/sbin:/sbin:/usr/local/bin/:/Users/jenkins/mosek/7/tools/platform/osx64x86/bin + export DYLD_LIBRARY_PATH=:/Users/jenkins/mosek/7/tools/platform/osx64x86/bin + DYLD_LIBRARY_PATH=:/Users/jenkins/mosek/7/tools/platform/osx64x86/bin + python /Users/jenkins/mosek/7/tools/platform/osx64x86/python/2/setup.py install running install running build running build_py running install_lib creating /Users/jenkins/workspace/gpkit_ResearchModel_SPaircraft_PR/mosek/venv2_gpkit/lib/python2.7/site-packages/mosek copying build/lib/mosek/__init__.py -> /Users/jenkins/workspace/gpkit_ResearchModel_SPaircraft_PR/mosek/venv2_gpkit/lib/python2.7/site-packages/mosek copying build/lib/mosek/array.py -> /Users/jenkins/workspace/gpkit_ResearchModel_SPaircraft_PR/mosek/venv2_gpkit/lib/python2.7/site-packages/mosek creating /Users/jenkins/workspace/gpkit_ResearchModel_SPaircraft_PR/mosek/venv2_gpkit/lib/python2.7/site-packages/mosek/fusion copying build/lib/mosek/fusion/__init__.py -> /Users/jenkins/workspace/gpkit_ResearchModel_SPaircraft_PR/mosek/venv2_gpkit/lib/python2.7/site-packages/mosek/fusion copying build/lib/mosek/fusion/SolverInfo.py -> /Users/jenkins/workspace/gpkit_ResearchModel_SPaircraft_PR/mosek/venv2_gpkit/lib/python2.7/site-packages/mosek/fusion copying build/lib/mosek/fusion/Utils.py -> /Users/jenkins/workspace/gpkit_ResearchModel_SPaircraft_PR/mosek/venv2_gpkit/lib/python2.7/site-packages/mosek/fusion byte-compiling /Users/jenkins/workspace/gpkit_ResearchModel_SPaircraft_PR/mosek/venv2_gpkit/lib/python2.7/site-packages/mosek/__init__.py to __init__.pyc byte-compiling /Users/jenkins/workspace/gpkit_ResearchModel_SPaircraft_PR/mosek/venv2_gpkit/lib/python2.7/site-packages/mosek/array.py to array.pyc byte-compiling /Users/jenkins/workspace/gpkit_ResearchModel_SPaircraft_PR/mosek/venv2_gpkit/lib/python2.7/site-packages/mosek/fusion/__init__.py to __init__.pyc byte-compiling /Users/jenkins/workspace/gpkit_ResearchModel_SPaircraft_PR/mosek/venv2_gpkit/lib/python2.7/site-packages/mosek/fusion/SolverInfo.py to SolverInfo.pyc byte-compiling /Users/jenkins/workspace/gpkit_ResearchModel_SPaircraft_PR/mosek/venv2_gpkit/lib/python2.7/site-packages/mosek/fusion/Utils.py to Utils.pyc running install_data copying /Users/jenkins/mosek/7/tools/platform/osx64x86/python/2/../../bin/libmosek64.7.1.dylib -> /Users/jenkins/workspace/gpkit_ResearchModel_SPaircraft_PR/mosek/venv2_gpkit/lib/python2.7/site-packages/mosek copying /Users/jenkins/mosek/7/tools/platform/osx64x86/python/2/../../bin/libmosekglb64.7.1.dylib -> /Users/jenkins/workspace/gpkit_ResearchModel_SPaircraft_PR/mosek/venv2_gpkit/lib/python2.7/site-packages/mosek copying /Users/jenkins/mosek/7/tools/platform/osx64x86/python/2/../../bin/libiomp5.dylib -> /Users/jenkins/workspace/gpkit_ResearchModel_SPaircraft_PR/mosek/venv2_gpkit/lib/python2.7/site-packages/mosek copying /Users/jenkins/mosek/7/tools/platform/osx64x86/python/2/../../bin/libmosekxx7_1.dylib -> /Users/jenkins/workspace/gpkit_ResearchModel_SPaircraft_PR/mosek/venv2_gpkit/lib/python2.7/site-packages/mosek copying /Users/jenkins/mosek/7/tools/platform/osx64x86/python/2/../../../../../license.pdf -> /Users/jenkins/workspace/gpkit_ResearchModel_SPaircraft_PR/mosek/venv2_gpkit/lib/python2.7/site-packages/mosek running install_egg_info Writing /Users/jenkins/workspace/gpkit_ResearchModel_SPaircraft_PR/mosek/venv2_gpkit/lib/python2.7/site-packages/Mosek-7.1.28-py2.7.egg-info Please review the MOSEK license conditions in license.pdf + [[ mosek == mosek ]] + python -c '__import__("mosek").Env()' + msktestlic Computer Platform : MACOSX/64-X86 Cores : 4 Problem Name : Objective sense : min Type : LO (linear optimization problem) Constraints : 1 Cones : 0 Scalar variables : 5000 Matrix variables : 0 Integer variables : 0 Optimizer started. Interior-point optimizer started. Presolve started. Linear dependency checker started. Linear dependency checker terminated. Eliminator - tries : 0 time : 0.00 Eliminator - elim's : 0 Lin. dep. - tries : 1 time : 0.00 Lin. dep. - number : 0 Presolve terminated. Time: 0.00 Interior-point optimizer terminated. Time: 0.00. Optimizer terminated. Time: 0.01 ************************************ A license was checked out correctly. ************************************ + export 'GPKITSOLVERS=mosek, mosek_cli' + GPKITSOLVERS='mosek, mosek_cli' + [[ mosek == cvxopt ]] + pip_install xmlrunner + python /Users/jenkins/workspace/gpkit_ResearchModel_SPaircraft_PR/mosek/venv2_gpkit/bin/pip install --upgrade xmlrunner DEPRECATION: Python 2.7 will reach the end of its life on January 1st, 2020. Please upgrade your Python as Python 2.7 won't be maintained after that date. A future version of pip will drop support for Python 2.7. More details about Python 2 support in pip, can be found at https://pip.pypa.io/en/latest/development/release-process/#python-2-support Collecting xmlrunner Installing collected packages: xmlrunner Successfully installed xmlrunner-1.7.7 + pip_install pint + python /Users/jenkins/workspace/gpkit_ResearchModel_SPaircraft_PR/mosek/venv2_gpkit/bin/pip install --upgrade pint DEPRECATION: Python 2.7 will reach the end of its life on January 1st, 2020. Please upgrade your Python as Python 2.7 won't be maintained after that date. A future version of pip will drop support for Python 2.7. More details about Python 2 support in pip, can be found at https://pip.pypa.io/en/latest/development/release-process/#python-2-support Collecting pint Using cached https://files.pythonhosted.org/packages/15/9d/bf177ebbc57d25e9e296addc14a1303d1e34d7964af5df428a8332349c42/Pint-0.9-py2.py3-none-any.whl Collecting funcsigs; python_version == "2.7" (from pint) Using cached https://files.pythonhosted.org/packages/69/cb/f5be453359271714c01b9bd06126eaf2e368f1fddfff30818754b5ac2328/funcsigs-1.0.2-py2.py3-none-any.whl Installing collected packages: funcsigs, pint Successfully installed funcsigs-1.0.2 pint-0.9 + pip_install numpy + python /Users/jenkins/workspace/gpkit_ResearchModel_SPaircraft_PR/mosek/venv2_gpkit/bin/pip install --upgrade numpy DEPRECATION: Python 2.7 will reach the end of its life on January 1st, 2020. Please upgrade your Python as Python 2.7 won't be maintained after that date. A future version of pip will drop support for Python 2.7. More details about Python 2 support in pip, can be found at https://pip.pypa.io/en/latest/development/release-process/#python-2-support Collecting numpy Using cached https://files.pythonhosted.org/packages/8f/0b/1a2c21bb69138337dc079841aa4a45e5b2fc7a4260c0907f5254fb08f02e/numpy-1.16.4-cp27-cp27m-macosx_10_6_intel.macosx_10_9_intel.macosx_10_9_x86_64.macosx_10_10_intel.macosx_10_10_x86_64.whl Installing collected packages: numpy Successfully installed numpy-1.16.4 + pip_install scipy + python /Users/jenkins/workspace/gpkit_ResearchModel_SPaircraft_PR/mosek/venv2_gpkit/bin/pip install --upgrade scipy DEPRECATION: Python 2.7 will reach the end of its life on January 1st, 2020. Please upgrade your Python as Python 2.7 won't be maintained after that date. A future version of pip will drop support for Python 2.7. More details about Python 2 support in pip, can be found at https://pip.pypa.io/en/latest/development/release-process/#python-2-support Collecting scipy Using cached https://files.pythonhosted.org/packages/a3/cf/36b77de4ccb1b841acd4c3c03abe38843c63c3a657cedee9e8fb19a02dc8/scipy-1.2.2-cp27-cp27m-macosx_10_6_intel.macosx_10_9_intel.macosx_10_9_x86_64.macosx_10_10_intel.macosx_10_10_x86_64.whl Requirement already satisfied, skipping upgrade: numpy>=1.8.2 in ./venv2_gpkit/lib/python2.7/site-packages (from scipy) (1.16.4) Installing collected packages: scipy Successfully installed scipy-1.2.2 + pip_install ctypesgen + python /Users/jenkins/workspace/gpkit_ResearchModel_SPaircraft_PR/mosek/venv2_gpkit/bin/pip install --upgrade ctypesgen DEPRECATION: Python 2.7 will reach the end of its life on January 1st, 2020. Please upgrade your Python as Python 2.7 won't be maintained after that date. A future version of pip will drop support for Python 2.7. More details about Python 2 support in pip, can be found at https://pip.pypa.io/en/latest/development/release-process/#python-2-support Collecting ctypesgen Installing collected packages: ctypesgen Successfully installed ctypesgen-0.post125 + pip_install pandas + python /Users/jenkins/workspace/gpkit_ResearchModel_SPaircraft_PR/mosek/venv2_gpkit/bin/pip install --upgrade pandas DEPRECATION: Python 2.7 will reach the end of its life on January 1st, 2020. Please upgrade your Python as Python 2.7 won't be maintained after that date. A future version of pip will drop support for Python 2.7. More details about Python 2 support in pip, can be found at https://pip.pypa.io/en/latest/development/release-process/#python-2-support Collecting pandas Using cached https://files.pythonhosted.org/packages/52/ff/912fe03a623a70bcf297d466013a0b4f4c68c3b60f86bf226682d061fc09/pandas-0.24.2-cp27-cp27m-macosx_10_6_intel.macosx_10_9_intel.macosx_10_9_x86_64.macosx_10_10_intel.macosx_10_10_x86_64.whl Collecting pytz>=2011k (from pandas) Using cached https://files.pythonhosted.org/packages/87/76/46d697698a143e05f77bec5a526bf4e56a0be61d63425b68f4ba553b51f2/pytz-2019.2-py2.py3-none-any.whl Requirement already satisfied, skipping upgrade: numpy>=1.12.0 in ./venv2_gpkit/lib/python2.7/site-packages (from pandas) (1.16.4) Collecting python-dateutil>=2.5.0 (from pandas) Using cached https://files.pythonhosted.org/packages/41/17/c62faccbfbd163c7f57f3844689e3a78bae1f403648a6afb1d0866d87fbb/python_dateutil-2.8.0-py2.py3-none-any.whl Collecting six>=1.5 (from python-dateutil>=2.5.0->pandas) Using cached https://files.pythonhosted.org/packages/73/fb/00a976f728d0d1fecfe898238ce23f502a721c0ac0ecfedb80e0d88c64e9/six-1.12.0-py2.py3-none-any.whl Installing collected packages: pytz, six, python-dateutil, pandas Successfully installed pandas-0.24.2 python-dateutil-2.8.0 pytz-2019.2 six-1.12.0 + pip_install matplotlib + python /Users/jenkins/workspace/gpkit_ResearchModel_SPaircraft_PR/mosek/venv2_gpkit/bin/pip install --upgrade matplotlib DEPRECATION: Python 2.7 will reach the end of its life on January 1st, 2020. Please upgrade your Python as Python 2.7 won't be maintained after that date. A future version of pip will drop support for Python 2.7. More details about Python 2 support in pip, can be found at https://pip.pypa.io/en/latest/development/release-process/#python-2-support Collecting matplotlib Using cached https://files.pythonhosted.org/packages/3e/d6/4c949597c4186599cc8be08cd11b1e83fe7966676aeee3868bf3e581d852/matplotlib-2.2.4-cp27-cp27m-macosx_10_6_intel.macosx_10_9_intel.macosx_10_9_x86_64.macosx_10_10_intel.macosx_10_10_x86_64.whl Collecting backports.functools-lru-cache (from matplotlib) Using cached https://files.pythonhosted.org/packages/03/8e/2424c0e65c4a066e28f539364deee49b6451f8fcd4f718fefa50cc3dcf48/backports.functools_lru_cache-1.5-py2.py3-none-any.whl Requirement already satisfied, skipping upgrade: six>=1.10 in ./venv2_gpkit/lib/python2.7/site-packages (from matplotlib) (1.12.0) Requirement already satisfied, skipping upgrade: pytz in ./venv2_gpkit/lib/python2.7/site-packages (from matplotlib) (2019.2) Collecting subprocess32 (from matplotlib) Using cached https://files.pythonhosted.org/packages/35/f3/7cdeeef9cb05c42fadcc8aa040dd3b80d94e0f6a8dedc4bacebf796c2385/subprocess32-3.5.4-cp27-cp27m-macosx_10_6_intel.whl Collecting cycler>=0.10 (from matplotlib) Using cached https://files.pythonhosted.org/packages/f7/d2/e07d3ebb2bd7af696440ce7e754c59dd546ffe1bbe732c8ab68b9c834e61/cycler-0.10.0-py2.py3-none-any.whl Collecting kiwisolver>=1.0.1 (from matplotlib) Using cached https://files.pythonhosted.org/packages/0d/15/ec5f70ac79f378ed0ef5ed8b71e8a04e382115426b2cda9a3ab5ffcf467f/kiwisolver-1.1.0-cp27-cp27m-macosx_10_6_intel.macosx_10_9_intel.macosx_10_9_x86_64.macosx_10_10_intel.macosx_10_10_x86_64.whl Requirement already satisfied, skipping upgrade: python-dateutil>=2.1 in ./venv2_gpkit/lib/python2.7/site-packages (from matplotlib) (2.8.0) Collecting pyparsing!=2.0.4,!=2.1.2,!=2.1.6,>=2.0.1 (from matplotlib) Using cached https://files.pythonhosted.org/packages/11/fa/0160cd525c62d7abd076a070ff02b2b94de589f1a9789774f17d7c54058e/pyparsing-2.4.2-py2.py3-none-any.whl Requirement already satisfied, skipping upgrade: numpy>=1.7.1 in ./venv2_gpkit/lib/python2.7/site-packages (from matplotlib) (1.16.4) Requirement already satisfied, skipping upgrade: setuptools in ./venv2_gpkit/lib/python2.7/site-packages (from kiwisolver>=1.0.1->matplotlib) (41.2.0) Installing collected packages: backports.functools-lru-cache, subprocess32, cycler, kiwisolver, pyparsing, matplotlib Successfully installed backports.functools-lru-cache-1.5 cycler-0.10.0 kiwisolver-1.1.0 matplotlib-2.2.4 pyparsing-2.4.2 subprocess32-3.5.4 + pip_install ad + python /Users/jenkins/workspace/gpkit_ResearchModel_SPaircraft_PR/mosek/venv2_gpkit/bin/pip install --upgrade ad DEPRECATION: Python 2.7 will reach the end of its life on January 1st, 2020. Please upgrade your Python as Python 2.7 won't be maintained after that date. A future version of pip will drop support for Python 2.7. More details about Python 2 support in pip, can be found at https://pip.pypa.io/en/latest/development/release-process/#python-2-support Collecting ad Installing collected packages: ad Successfully installed ad-1.3.2 + pip_install future + python /Users/jenkins/workspace/gpkit_ResearchModel_SPaircraft_PR/mosek/venv2_gpkit/bin/pip install --upgrade future DEPRECATION: Python 2.7 will reach the end of its life on January 1st, 2020. Please upgrade your Python as Python 2.7 won't be maintained after that date. A future version of pip will drop support for Python 2.7. More details about Python 2 support in pip, can be found at https://pip.pypa.io/en/latest/development/release-process/#python-2-support Collecting future Installing collected packages: future Successfully installed future-0.17.1 + export GPKITBUILD=/Users/jenkins/workspace/gpkit_ResearchModel_SPaircraft_PR/mosek/build_gpkit + GPKITBUILD=/Users/jenkins/workspace/gpkit_ResearchModel_SPaircraft_PR/mosek/build_gpkit + python -c 'import scipy; print scipy.__version__' 1.2.2 + python -c 'import numpy; print numpy.__version__' 1.16.4 + python -c 'import pint; print pint.__version__' 0.9 + git clone --depth 1 https://github.com/convexengineering/gpkit.git /Users/jenkins/workspace/gpkit_ResearchModel_SPaircraft_PR/mosek/gpkit Cloning into '/Users/jenkins/workspace/gpkit_ResearchModel_SPaircraft_PR/mosek/gpkit'... + python /Users/jenkins/workspace/gpkit_ResearchModel_SPaircraft_PR/mosek/venv2_gpkit/bin/pip install -v --no-cache-dir --no-deps -e /Users/jenkins/workspace/gpkit_ResearchModel_SPaircraft_PR/mosek/gpkit DEPRECATION: Python 2.7 will reach the end of its life on January 1st, 2020. Please upgrade your Python as Python 2.7 won't be maintained after that date. A future version of pip will drop support for Python 2.7. More details about Python 2 support in pip, can be found at https://pip.pypa.io/en/latest/development/release-process/#python-2-support Created temporary directory: /private/var/folders/42/s1whb7rd4mddfcnzk96g_d9h0000gp/T/pip-ephem-wheel-cache-6JqGW8 Created temporary directory: /private/var/folders/42/s1whb7rd4mddfcnzk96g_d9h0000gp/T/pip-req-tracker-9Jm2Qz Created requirements tracker '/private/var/folders/42/s1whb7rd4mddfcnzk96g_d9h0000gp/T/pip-req-tracker-9Jm2Qz' Created temporary directory: /private/var/folders/42/s1whb7rd4mddfcnzk96g_d9h0000gp/T/pip-install-PG56zZ Obtaining file:///Users/jenkins/workspace/gpkit_ResearchModel_SPaircraft_PR/mosek/gpkit Added file:///Users/jenkins/workspace/gpkit_ResearchModel_SPaircraft_PR/mosek/gpkit to build tracker '/private/var/folders/42/s1whb7rd4mddfcnzk96g_d9h0000gp/T/pip-req-tracker-9Jm2Qz' Running setup.py (path:/Users/jenkins/workspace/gpkit_ResearchModel_SPaircraft_PR/mosek/gpkit/setup.py) egg_info for package from file:///Users/jenkins/workspace/gpkit_ResearchModel_SPaircraft_PR/mosek/gpkit Running command python setup.py egg_info running egg_info creating gpkit.egg-info writing requirements to gpkit.egg-info/requires.txt writing gpkit.egg-info/PKG-INFO writing top-level names to gpkit.egg-info/top_level.txt writing dependency_links to gpkit.egg-info/dependency_links.txt writing manifest file 'gpkit.egg-info/SOURCES.txt' reading manifest file 'gpkit.egg-info/SOURCES.txt' writing manifest file 'gpkit.egg-info/SOURCES.txt' Source in ./gpkit has version 0.9.1.0, which satisfies requirement gpkit==0.9.1.0 from file:///Users/jenkins/workspace/gpkit_ResearchModel_SPaircraft_PR/mosek/gpkit Removed gpkit==0.9.1.0 from file:///Users/jenkins/workspace/gpkit_ResearchModel_SPaircraft_PR/mosek/gpkit from build tracker '/private/var/folders/42/s1whb7rd4mddfcnzk96g_d9h0000gp/T/pip-req-tracker-9Jm2Qz' Installing collected packages: gpkit Running setup.py develop for gpkit Running command /Users/jenkins/workspace/gpkit_ResearchModel_SPaircraft_PR/mosek/venv2_gpkit/bin/python -c 'import sys, setuptools, tokenize; sys.argv[0] = '"'"'/Users/jenkins/workspace/gpkit_ResearchModel_SPaircraft_PR/mosek/gpkit/setup.py'"'"'; __file__='"'"'/Users/jenkins/workspace/gpkit_ResearchModel_SPaircraft_PR/mosek/gpkit/setup.py'"'"';f=getattr(tokenize, '"'"'open'"'"', open)(__file__);code=f.read().replace('"'"'\r\n'"'"', '"'"'\n'"'"');f.close();exec(compile(code, __file__, '"'"'exec'"'"'))' develop --no-deps running develop running egg_info writing requirements to gpkit.egg-info/requires.txt writing gpkit.egg-info/PKG-INFO writing top-level names to gpkit.egg-info/top_level.txt writing dependency_links to gpkit.egg-info/dependency_links.txt reading manifest file 'gpkit.egg-info/SOURCES.txt' writing manifest file 'gpkit.egg-info/SOURCES.txt' running build_ext Creating /Users/jenkins/workspace/gpkit_ResearchModel_SPaircraft_PR/mosek/venv2_gpkit/lib/python2.7/site-packages/gpkit.egg-link (link to .) Adding gpkit 0.9.1.0 to easy-install.pth file Installed /Users/jenkins/workspace/gpkit_ResearchModel_SPaircraft_PR/mosek/gpkit Successfully installed gpkit Cleaning up... 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python -c 'from gpkit.tests.test_repo import test_repo; test_repo(xmloutput=True)' No filename given. Usage: mskexpopt FILENAME [-primal] [-dual] [-p parameterfile] Return code: 1052 Description: MSK_RES_ERR_FILE_OPEN [An error occurred while opening a file.] ................................................................................................................................................................................................................................................... ---------------------------------------------------------------------- Ran 243 tests in 46.316s OK Cloning into 'gplibrary'... DEPRECATION: Python 2.7 will reach the end of its life on January 1st, 2020. Please upgrade your Python as Python 2.7 won't be maintained after that date. A future version of pip will drop support for Python 2.7. More details about Python 2 support in pip, can be found at https://pip.pypa.io/en/latest/development/release-process/#python-2-support Obtaining file:///Users/jenkins/workspace/gpkit_ResearchModel_SPaircraft_PR/mosek/gplibrary Installing collected packages: gpkitmodels Running setup.py develop for gpkitmodels Successfully installed gpkitmodels DEPRECATION: Python 2.7 will reach the end of its life on January 1st, 2020. Please upgrade your Python as Python 2.7 won't be maintained after that date. A future version of pip will drop support for Python 2.7. More details about Python 2 support in pip, can be found at https://pip.pypa.io/en/latest/development/release-process/#python-2-support Collecting git+https://github.com/hoburg/turbofan.git Cloning https://github.com/hoburg/turbofan.git to /private/var/folders/42/s1whb7rd4mddfcnzk96g_d9h0000gp/T/pip-req-build-dPLxvu Running command git clone -q https://github.com/hoburg/turbofan.git /private/var/folders/42/s1whb7rd4mddfcnzk96g_d9h0000gp/T/pip-req-build-dPLxvu Requirement already satisfied: numpy in ./venv2_gpkit/lib/python2.7/site-packages (from turbofan==0.0.0.0) (1.16.4) Requirement already satisfied: scipy in ./venv2_gpkit/lib/python2.7/site-packages (from turbofan==0.0.0.0) (1.2.2) Requirement already satisfied: pint in ./venv2_gpkit/lib/python2.7/site-packages (from turbofan==0.0.0.0) (0.9) Requirement already satisfied: future in ./venv2_gpkit/lib/python2.7/site-packages (from turbofan==0.0.0.0) (0.17.1) Requirement already satisfied: funcsigs; python_version == "2.7" in ./venv2_gpkit/lib/python2.7/site-packages (from pint->turbofan==0.0.0.0) (1.0.2) Building wheels for collected packages: turbofan Building wheel for turbofan (setup.py): started Building wheel for turbofan (setup.py): finished with status 'done' Created wheel for turbofan: filename=turbofan-0.0.0.0-cp27-none-any.whl size=45067 sha256=07fd2cb48d7370a7c86407083815d9804dac1a77de9a944e6aeee7fdd7e7c544 Stored in directory: /private/var/folders/42/s1whb7rd4mddfcnzk96g_d9h0000gp/T/pip-ephem-wheel-cache-CgrCrs/wheels/49/e6/3a/5de0d21c0f148404ea8d883f76e050c82d4e9a0e6f59ce69a5 Successfully built turbofan Installing collected packages: turbofan Successfully installed turbofan-0.0.0.0 DEPRECATION: Python 2.7 will reach the end of its life on January 1st, 2020. Please upgrade your Python as Python 2.7 won't be maintained after that date. A future version of pip will drop support for Python 2.7. More details about Python 2 support in pip, can be found at https://pip.pypa.io/en/latest/development/release-process/#python-2-support Processing /Users/jenkins/workspace/gpkit_ResearchModel_SPaircraft_PR/mosek Requirement already satisfied: turbofan in ./venv2_gpkit/lib/python2.7/site-packages (from SPaircraft==0.0.0) (0.0.0.0) Requirement already satisfied: gpkit in ./gpkit (from SPaircraft==0.0.0) (0.9.1.0) Requirement already satisfied: future in ./venv2_gpkit/lib/python2.7/site-packages (from SPaircraft==0.0.0) (0.17.1) Requirement already satisfied: numpy in ./venv2_gpkit/lib/python2.7/site-packages (from turbofan->SPaircraft==0.0.0) (1.16.4) Requirement already satisfied: scipy in ./venv2_gpkit/lib/python2.7/site-packages (from turbofan->SPaircraft==0.0.0) (1.2.2) Requirement already satisfied: pint in ./venv2_gpkit/lib/python2.7/site-packages (from turbofan->SPaircraft==0.0.0) (0.9) Requirement already satisfied: ad in ./venv2_gpkit/lib/python2.7/site-packages (from gpkit->SPaircraft==0.0.0) (1.3.2) Collecting cvxopt>=1.1.8 (from gpkit->SPaircraft==0.0.0) Using cached https://files.pythonhosted.org/packages/69/4f/167a7f5b11274eb8722e93b26c687c71499ae563083104c5b25dd2252990/cvxopt-1.2.3-cp27-cp27m-macosx_10_6_intel.macosx_10_9_intel.macosx_10_9_x86_64.macosx_10_10_intel.macosx_10_10_x86_64.whl Requirement already satisfied: six in ./venv2_gpkit/lib/python2.7/site-packages (from gpkit->SPaircraft==0.0.0) (1.12.0) Requirement already satisfied: funcsigs; python_version == "2.7" in ./venv2_gpkit/lib/python2.7/site-packages (from pint->turbofan->SPaircraft==0.0.0) (1.0.2) Building wheels for collected packages: SPaircraft Building wheel for SPaircraft (setup.py): started Building wheel for SPaircraft (setup.py): finished with status 'done' Created wheel for SPaircraft: filename=SPaircraft-0.0.0-cp27-none-any.whl size=1839 sha256=c2d90796a0b26d6256c7d7ad8559277c706d66ab1de0cddf5b23535799f8230e Stored in directory: /private/var/folders/42/s1whb7rd4mddfcnzk96g_d9h0000gp/T/pip-ephem-wheel-cache-EVg3y7/wheels/71/e8/af/7597dac7af351c0e0a33881dc12912753f89702a1e45c5ce81 Successfully built SPaircraft Installing collected packages: SPaircraft, cvxopt Successfully installed SPaircraft-0.0.0 cvxopt-1.2.3 Running tests... ---------------------------------------------------------------------- adding test for 'SPaircraft.py' Mission ======= Cost ---- W_{f_{total}}[:].sum() Constraints ----------- W_{buoy}[:] >= \rho_{cabin}[:]*9.81*V_{cabin} PRFC[:] = W_{f_{primary}}[:]/9.81*h_{f}/(R_{req}*W_{payload}[:]) x_{CG}[:]*W_{avg}[:] >= x_{misc}*W_{misc} + x_{CG_{lg}}*W_{lg} + 0.5*(W_{fuse} + W_{payload}[:])*l_{fuse} + W_{ht}*x_{CG_{ht}} + W_{vt}*x_{CG_{vt}} + n_{eng}*W_{engsys}*x_{eng} + W_{wing}*(x_{wing} + \Delta x_{AC_{wing}}) + (F_{fuel}[:] + f_{fuel_{res}})*W_{f_{primary}}[:]*(x_{wing} + \Delta x_{AC_{wing}}*F_{fuel}[:]) x_{CG}[3] <= \Delta x_n + x_n \Delta x_m + x_{CG}[3] >= x_m \tan(\phi)*(z_{CG} + l_m) + x_{CG}[3] <= x_m C_{D_{fuse}}[:] = 0.018081 M_{fuseD} = 0.72 W_{start}[0] = W_{total}[:] W_{start}[:] >= W_{end}[:] + W_{burn}[:] W_{start}[1:] = W_{end}[:4] W_{dry}[:] + W_{payload}[:] + f_{fuel_{res}}*W_{f_{primary}}[:] <= W_{end}[-1] W_{f_{climb}}[:] >= 0 + W_{burn}[:3][0] + W_{burn}[:3][1] + W_{burn}[:3][2] W_{f_{cruise}}[:] >= 0 + W_{burn}[3:][0] + W_{burn}[3:][1] hft[2] >= CruiseAlt hft[1:5] = hft[:4] + dhft[1:5] hft[0] = dhft[0] dhft[1:3] = dhft[:2] RC[0] >= 2.5e+03 RC[:3] >= RC_{min}[:3] \theta[2] >= 0.015 hft[2] >= MinCruiseAlt n_{eng}*F[:] >= D[:] + W_{avg}[:]*\theta[:] R_{segment}[3:4] = R_{segment}[4:5] M[3:5] >= M_{min} 0 + R_{segment}[0] + R_{segment}[1] + R_{segment}[2] + R_{segment}[3] + R_{segment}[4] >= R_{req} Fsafetyfac*F[0] = T_e W_{burn}[:] = n_{eng}*TSFC[:]*thr[:]*F[:] V_2[:] = M_2[:]*a[:] \alpha_{max,w}[:3] = 0.18 \alpha_{max,w}[3:] = 0.1 0 + thr[0] + thr[1] + thr[2] + thr[3] + thr[4] <= TotalTime 0 + thr[:3][0] + thr[:3][1] + thr[:3][2] <= ClimbTime ClimbTime <= MaxClimbTime T_{t_{4.1}}[3:] <= T_{t_{4.1_{max-Cruise}}} F_{fuel}[0] >= (0 + W_{burn}[1:][0] + W_{burn}[1:][1] + W_{burn}[1:][2] + W_{burn}[1:][3] + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:] F_{fuel}[:] <= 1.0000001 F_{fuel}[1] >= (0 + W_{burn}[2:][0] + W_{burn}[2:][1] + W_{burn}[2:][2] + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:] F_{fuel}[:] <= 1.0000001 F_{fuel}[2] >= (0 + W_{burn}[3:][0] + W_{burn}[3:][1] + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:] F_{fuel}[:] <= 1.0000001 F_{fuel}[3] >= (0 + W_{burn}[4:][0] + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:] F_{fuel}[:] <= 1.0000001 F_{fuel}[4] >= (0 + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:] F_{fuel}[:] <= 1.0000001 OPR[:] <= OPR_{max} Aircraft Fuselage W_{lugg}[:] >= f_{lugg,2}*n_{pass}[:]*2*W_{checked} + f_{lugg,1}*n_{pass}[:]*W_{checked} + W_{carry on} W_{pass}[:] >= n_{pass}[:]*W_{avg. pass} W_{payload}[:] >= W_{pass}[:] + W_{lugg}[:] + W_{cargo} W_{payload}[:] >= n_{pass}[:]*W_{avg. pass_{total}} W_{payload}[:] <= W_{payload_{max}} n_{pass}[:] <= n_{seat} n_{rows} = n_{seat}/SPR l_{shell} = n_{rows}*p_s \theta_{db} = w_{db}/R_{fuse} R_{fuse}*(1 - 0.5*\theta_{db}^2) <= h_{db} A_{db} >= (2*h_{db} + \Delta R_{fuse})*t_{db} (PI + 2*\theta_{db} + 2*\theta_{db}*(1 - \theta_{db}^2/2))*R_{fuse}^2 + 2*\Delta R_{fuse}*R_{fuse} <= A_{fuse} A_{skin} >= (2PI + 4*\theta_{db})*R_{fuse}*t_{skin} + 2*\Delta R_{fuse}*t_{skin} w_{floor} = w_{fuse} R_{fuse} + w_{db} >= w_{fuse} h_{fuse} = R_{fuse} + 0.5*\Delta R_{fuse} t_{skin}*(1 + r_E*f_{string}*\rho_{skin}/\rho_{bend}) >= t_{shell} S_{nose} >= (2PI + 4*\theta_{db})*R_{fuse}^2 S_{bulk} >= (2PI + 4*\theta_{db})*R_{fuse}^2 l_{fuse} = l_{nose} + l_{shell} + l_{cone} l_{cone} = R_{fuse}/\lambda_{cone} x_{shell1} = l_{nose} x_{shell2} >= l_{nose} + l_{shell} t_{skin} = \Delta P_{over}*R_{fuse}/\sigma_{skin} t_{db} = 2*\Delta P_{over}*w_{db}/\sigma_{skin} \sigma_x = \Delta P_{over}*R_{fuse}/(2*t_{shell}) \sigma_{\theta} = \Delta P_{over}*R_{fuse}/t_{skin} l_{floor} >= l_{shell} + 2*R_{fuse} P_{floor} >= N_{land}*(W_{payload_{max}} + W_{seat}) A_{floor} >= 2*M_{floor}/(\sigma_{floor}*h_{floor}) + 1.5*S_{floor}/\tau_{floor} V_{floor} = 2*w_{floor}*A_{floor} W_{floor} >= \rho_{floor}*g*V_{floor} + 2*w_{floor}*l_{floor}*W''_{floor} \tau_{cone} = \sigma_{skin} W_{cone} >= \rho_{cone}*g*V_{cone}*(1 + f_{string} + f_{frame}) x_{tail} >= l_{nose} + l_{shell} + 0.5*l_{cone} -2*R_{fuse}^2*\Delta R_{fuse}*\theta_{db}^2*t_{shell} + 1.57*R_{fuse}*\Delta R_{fuse}^2*t_{shell} + 3.14*R_{fuse}^3*t_{shell} + 4*R_{fuse}^2*\Delta R_{fuse}*t_{shell} + 4*R_{fuse}^3*\theta_{db}*t_{shell} + R_{fuse}*\Delta R_{fuse}^2*\theta_{db}*t_{shell} >= I_{h_{shell}} (PI*R_{fuse}^2 + 8*w_{db}*R_{fuse} + (2PI + 4*\theta_{db})*w_{db}^2)*R_{fuse}*t_{shell} >= I_{v_{shell}} x_{hbend_{Land}} >= x_{wing} x_{hbend_{Land}} <= l_{fuse} x_{hbend_{MLF}} >= x_{wing} x_{hbend_{MLF}} <= l_{fuse} A_{0h} = A_{2h_{Land}}*(x_{shell2} - x_{hbend_{Land}})^0 + A_{1h_{Land}}*(x_{tail} - x_{hbend_{Land}}) A_{0h} = A_{2h_{MLF}}*(x_{shell2} - x_{hbend_{MLF}})^0 + A_{1h_{MLF}}*(x_{tail} - x_{hbend_{MLF}}) A_{2h_{Land}} >= N_{land}*(W_{payload_{max}} + W_{padd} + W_{shell} + W_{window} + W_{insul} + W_{floor} + W_{seat})/(2*l_{shell}*h_{fuse}*\sigma_{M_h}) A_{2h_{MLF}} >= Mission.Aircraft.Fuselage.N_{lift}*(W_{payload_{max}} + W_{padd} + W_{shell} + W_{window} + W_{insul} + W_{floor} + W_{seat})/(2*l_{shell}*h_{fuse}*\sigma_{M_h}) A_{0h} = I_{h_{shell}}/(r_E*h_{fuse}^2) A_{2h_{Land}}*(x_{shell2} - x_f)^0 + A_{1h_{Land}}*(x_{tail} - x_f) - A_{0h} <= A_{hbendf_{Land}} A_{2h_{MLF}}*(x_{shell2} - x_f)^0 + A_{1h_{MLF}}*(x_{tail} - x_f) - A_{0h} <= A_{hbendf_{MLF}} A_{2h_{Land}}*(x_{shell2} - x_b)^0 + A_{1h_{Land}}*(x_{tail} - x_b) - A_{0h} <= A_{hbendb_{Land}} A_{2h_{MLF}}*(x_{shell2} - x_b)^0 + A_{1h_{MLF}}*(x_{tail} - x_b) - A_{0h} <= A_{hbendb_{MLF}} A_{2h_{Land}}/3*(x_{shell2} - x_f)^0 - (x_{shell2} - x_{hbend_{Land}})^0 + A_{1h_{Land}}/2*(x_{tail} - x_f)^0 - (x_{tail} - x_{hbend_{Land}})^0 - A_{0h}*(x_{hbend_{Land}} - x_f) <= V_{hbend_{f}} A_{2h_{MLF}}/3*(x_{shell2} - x_f)^0 - (x_{shell2} - x_{hbend_{MLF}})^0 + A_{1h_{MLF}}/2*(x_{tail} - x_f)^0 - (x_{tail} - x_{hbend_{MLF}})^0 - A_{0h}*(x_{hbend_{MLF}} - x_f) <= V_{hbend_{f}} A_{2h_{Land}}/3*(x_{shell2} - x_b)^0 - (x_{shell2} - x_{hbend_{Land}})^0 + A_{1h_{Land}}/2*(x_{tail} - x_b)^0 - (x_{tail} - x_{hbend_{Land}})^0 - A_{0h}*(x_{hbend_{Land}} - x_b) <= V_{hbend_{b}} A_{2h_{MLF}}/3*(x_{shell2} - x_b)^0 - (x_{shell2} - x_{hbend_{MLF}})^0 + A_{1h_{MLF}}/2*(x_{tail} - x_b)^0 - (x_{tail} - x_{hbend_{MLF}})^0 - A_{0h}*(x_{hbend_{MLF}} - x_b) <= V_{hbend_{b}} V_{hbend_{c}} >= 0.5*(A_{hbendf_{Land}} + A_{hbendb_{Land}})*c_0*Mission.Aircraft.Fuselage.r_{w/c} V_{hbend_{c}} >= 0.5*(A_{hbendf_{MLF}} + A_{hbendb_{MLF}})*c_0*Mission.Aircraft.Fuselage.r_{w/c} V_{hbend} >= V_{hbend_{c}} + V_{hbend_{f}} + V_{hbend_{b}} W_{hbend} >= g*\rho_{bend}*V_{hbend} x_{vbend} >= x_{wing} x_{vbend} <= l_{fuse} B_{0v} = B_{1v}*(x_{tail} - x_{vbend}) B_{0v} = I_{v_{shell}}/(r_E*w_{fuse}^2) B_{1v}*(x_{tail} - x_b) - B_{0v} <= A_{vbend_{b}} 0.5*B_{1v}*(x_{tail} - x_b)^0 - (x_{tail} - x_{vbend})^0 - B_{0v}*(x_{vbend} - x_b) <= V_{vbend_{b}} V_{vbend_{c}} >= 0.5*A_{vbend_{b}}*c_0*Mission.Aircraft.Fuselage.r_{w/c} V_{vbend} >= V_{vbend_{b}} + V_{vbend_{c}} W_{vbend} >= \rho_{bend}*g*V_{vbend} x_f = x_{wing} + 0.5*c_0*Mission.Aircraft.Fuselage.r_{w/c} x_b = x_{wing} - 0.5*c_0*Mission.Aircraft.Fuselage.r_{w/c} \sigma_{bend} - r_E*\Delta P_{over}/2*R_{fuse}/t_{shell} >= \sigma_{M_h} \sigma_{bend} - r_E*\Delta P_{over}/2*R_{fuse}/t_{shell} >= \sigma_{M_v} V_{cyl} = A_{skin}*l_{shell} V_{nose} = S_{nose}*t_{skin} V_{bulk} = S_{bulk}*t_{skin} V_{db} = A_{db}*l_{shell} V_{cabin} >= A_{fuse}*(l_{shell} + 0.67*l_{nose} + 0.67*R_{fuse}) W_{apu} = W_{payload_{max}}*f_{apu} W_{db} = \rho_{skin}*g*V_{db} W_{insul} >= W''_{insul}*(3.46 + 2*\theta_{db})*R_{fuse}*l_{shell} + 0.55*(S_{nose} + S_{bulk}) W_{window} >= W'_{window}*l_{shell} W_{padd} = W_{payload_{max}}*f_{padd} W_{seat} >= W'_{seat}*n_{seat} W_{seat} >= f_{seat}*W_{payload_{max}} W_{skin} >= \rho_{skin}*g*(V_{cyl} + V_{nose} + V_{bulk}) W_{shell} >= W_{skin}*(1 + f_{string} + f_{fadd} + f_{frame}) + W_{db} W_{fuse} >= C_{fuse}*(W_{shell} + W_{floor} + W_{insul} + W_{apu} + W_{fix} + W_{window} + W_{padd} + W_{seat} + W_{hbend} + W_{vbend} + W_{cone}) Wing WingNoStruct A_{rect} = c_{tip}*b 0.5*(1 - \lambda)*c_{root}*b <= A_{tri} p >= 1 + 2*\lambda 2*q >= 1 + p y_{mac} = b/3*q/p mac >= 0.667*(1 + \lambda + \lambda^2)*c_{root}/q \lambda = c_{tip}/c_{root} S = b*(c_{root} + c_{tip})/2 0.0524*\lambda^4 - 0.15*\lambda^3 + 0.166*\lambda^2 - 0.0706*\lambda + 0.0119 <= f(\lambda_w) e*(1 + f(\lambda_w)*AR) <= 1 \lambda >= 0.15 V_{fuel, max} <= 0.303*mac^2*b*\tau W_{fuel_{wing}} <= \rho_{fuel}*V_{fuel, max}*g b <= b_{max} WingBox AR = b^2/S 0.423*Mission.Aircraft.Wing.WingBox.r_{w/c}*\tau^2*t_{cap} >= 0.92*Mission.Aircraft.Wing.WingBox.r_{w/c}*\tau*t_{cap}^2 + I_{cap} \nu^3.94 >= 0.86*p^-2.38 + 0.14*p^0.56 W_{web} >= 8*\rho_{web}*g*r_h*\tau*t_{web}*S^1.5*\nu/(3*AR^0.5) \tau <= \tau_{max_w} W_{struct} >= W_{web} + W_{cap} AR*L_{max}*q^2/(\tau*S*t_{web}*\sigma_{max,shear}) <= 12 W_{cap} >= 8*\rho_{cap}*g*Mission.Aircraft.Wing.WingBox.r_{w/c}*t_{cap}*S^1.5*\nu/(3*AR^0.5) Mission.Aircraft.Wing.WingBox.N_{lift} = 3 Mission.Aircraft.Wing.WingBox.M_r*AR*q^2*\tau/(S*I_{cap}*\sigma_{max}) <= 8 \lambda = taper W_{wing} >= C_{wing}*W_{struct} + W_{struct}*(f_{flap} + f_{slat} + f_{aileron} + f_{lete} + f_{ribs} + f_{spoiler} + f_{watt}) 0.0417*(c_{root} + 5*c_{tip})/S*b^2*\tan(\Lambda) >= \Delta x_{AC_{wing}} Engine Compressor (no constraints) Combustor (no constraints) Turbine (no constraints) Thrust (no constraints) FanMap (no constraints) LPCMap (no constraints) HPCMap (no constraints) Sizing A_{2} >= A_{5} + A_{7} FlightState V[:] = V[:] a[:] = (\gamma[:]*R[:]*T_{atm}[:])^0.5 V[:] = M[:]*a[:] Altitude h[:] = hft[:] Atmosphere (P_{atm}[:]/p_{sl}[:])^0.190222560396 = T_{atm}[:]/T_{sl}[:] \rho[:] = P_{atm}[:]/(R_{atm}[:]/M_{atm}[:]*T_{atm}[:]) T_{sl}[:] = T_{atm}[:] + L_{atm}[:]*h[:] \mu[:] = C_1[:]*T_{atm}[:]^1.5/(6.64*T_s[:]^0.72) EnginePerformance CompressorPerformance T_{t_0}[:] = T_{atm}[:]/c1[:]^-1 h_{t_0}[:] = C_{p_{air}*T_{t_0}[:] P_{t_{1.8}}[:] = \pi_{d}*P_{t_0}[:] T_{t_{1.8}}[:] = T_{t_0}[:] h_{t_{1.8}}[:] = h_{t_0}[:] P_{t_0}[:] = f_{BLI_{P}}*P_{atm}[:]/c1[:]^-3.5 T_{T_{2}}[:] = T_{t_{1.8}}[:] h_{T_{2}}[:] = h_{t_{1.8}}[:] P_{T_{2}}[:] = P_{t_{1.8}}[:] P_{t_{2.1}}[:] = \pi_{f}[:]*P_{T_{2}}[:] T_{t_{2.1}}[:] = T_{T_{2}}[:]*\pi_{f}[:]^0.307767877016 h_{t_{2.1}}[:] = C_{p_{air}*T_{t_{2.1}}[:] P_{t_7}[:] = \pi_{fn}*P_{t_{2.1}}[:] T_{t_7}[:] = T_{t_{2.1}}[:] h_{t_7}[:] = h_{t_{2.1}}[:] P_{t_{2.5}}[:] = \pi_{lc}[:]*\pi_{f}[:]*P_{T_{2}}[:] T_{t_{2.5}}[:] = T_{T_{2}}[:]*(\pi_{f}[:]*\pi_{lc}[:])^0.309448280152 h_{t_{2.5}}[:] = T_{t_{2.5}}[:]*C_{p_{1} P_{t_3}[:] = \pi_{hc}[:]*P_{t_{2.5}}[:] T_{t_3}[:] = T_{t_{2.5}}[:]*\pi_{hc}[:]^0.293761306491 h_{t_3}[:] = C_{p_{2}*T_{t_3}[:] CombustorPerformance h_{t_4}[:] = C_{p_{c}}*T_{t_4}[:] h_{t_{4.1}}[:] = C_{p_{c}}*T_{t_{4.1}}[:] fp1[:] = f[:] + 1 M_{4a}[:] = 0.1025 fp1[:]*u_{4.1}[:] = (u_{4a}[:]*fp1[:]*\alpha_c*u_c[:])^0.5 T_{4.1}[:] <= [[T_{t_{4.1}}[0,0] - u_{4.1}[0,0]^2*0.5/C_{p_{c}}], [T_{t_{4.1}}[1,0] - u_{4.1}[1,0]^2*0.5/C_{p_{c}}], [T_{t_{4.1}}[2,0] - u_{4.1}[2,0]^2*0.5/C_{p_{c}}], [T_{t_{4.1}}[3,0] - u_{4.1}[3,0]^2*0.5/C_{p_{c}}], [T_{t_{4.1}}[4,0] - u_{4.1}[4,0]^2*0.5/C_{p_{c}}]] P_{t_{4.1}}[:] = P_{4a}[:]*(T_{t_{4.1}}[:]/T_{4.1}[:])^-4.19488817891 u_{4a}[:] = M_{4a}[:]*(1.31*Mission.Aircraft.Engine.EngineConstants.R*T_{t_4}[:])^0.5/hold_{4a} u_c[:] = r_{uc}*u_{4a}[:] P_{4a}[:] = P_{t_4}[:]*hold_{4a}^4.19488817891 TurbinePerformance h_{t_{4.5}}[:] = C_{p_{t1}}*T_{t_{4.5}}[:] P_{t_{4.9}}[:] = \pi_{LPT}[:]*P_{t_{4.5}}[:] \pi_{LPT}[:] = (T_{t_{4.9}}[:]/T_{t_{4.5}}[:])^3.5188700565 h_{t_{4.9}}[:] = C_{p_{t2}}*T_{t_{4.9}}[:] P_{t_5}[:] = \pi_{tn}*P_{t_{4.9}}[:] T_{t_5}[:] = T_{t_{4.9}}[:] h_{t_5}[:] = h_{t_{4.9}}[:] ThrustPerformance P_{8}[:] = P_{atm}[:] h_{8}[:] = C_{p_{fex}*T_{8}[:] u_{8}[:]^2 + 2*h_{8}[:] <= 2*h_{t_8}[:] (P_{8}[:]/P_{t_8}[:])^0.279019466474 = T_{8}[:]/T_{t_8}[:] h_{t_8}[:] = C_{p_{fex}*T_{t_8}[:] P_{6}[:] = P_{atm}[:] (P_{6}[:]/P_{t_6}[:])^0.285714285714 = T_{6}[:]/T_{t_6}[:] u_{6}[:]^2 + 2*h_6[:] <= 2*h_{t_6}[:] h_6[:] = C_{p_{tex}*T_{6}[:] h_{t_6}[:] = C_{p_{tex}*T_{t_6}[:] \alpha[:] = m_{fan}[:]/m_{core}[:] \alpha_{+1}[:] = \alpha[:] + 1 \alpha[:] <= \alpha_{max} F[:] <= F_{6}[:] + F_{8}[:] F_{sp}[:] = F[:]/(\alpha_{+1}[:]*m_{core}[:]*a[:]) TSFC[:] = 1/I_{sp}[:] F_{8}[:]/(\alpha[:]*m_{core}[:]) + V[:]*f_{BLI_{V}} <= u_{8}[:] FanMapPerformance m_{tild_f}[:] = m_{f}[:]/\bar{m}_{fan_{D}} LPCMapPerformance m_{tild_lc}[:] = m_{lc}[:]/m_{lc_D} HPCMapPerformance m_{tild_{hc}}[:] = m_{hc}[:]/m_{hc_D} SizingPerformance P_{7}[:] >= P_{atm}[:] M_7[:] <= 1 a_{7}[:] = (1.4*Mission.Aircraft.Engine.EngineConstants.R*T_{7}[:])^0.5 a_{7}[:]*M_7[:] = u_{7}[:] \rho_7[:] = P_{7}[:]/(Mission.Aircraft.Engine.EngineConstants.R*T_{7}[:]) P_{5}[:] >= P_{atm}[:] M_5[:] <= 1 a_{5}[:] = (1.39*Mission.Aircraft.Engine.EngineConstants.R*T_{5}[:])^0.5 a_{5}[:]*M_5[:] = u_{5}[:] \rho_5[:] = P_{5}[:]/(Mission.Aircraft.Engine.EngineConstants.R*T_{5}[:]) h_{2}[:] = C_{p_{1}*T_{2}[:] \rho_{2}[:] = P_{2}[:]/(Mission.Aircraft.Engine.EngineConstants.R*T_{2}[:]) u_{2}[:] = M_2[:]*(C_{p_{1}*Mission.Aircraft.Engine.EngineConstants.R*T_{2}[:]/dum[:])^0.5 h_{2.5}[:] = C_{p_{2}*T_{2.5}[:] \rho_{2.5}[:] = P_{2.5}[:]/(Mission.Aircraft.Engine.EngineConstants.R*T_{2.5}[:]) u_{2.5}[:] = M_{2.5}[:]*(C_{p_{2}*Mission.Aircraft.Engine.EngineConstants.R*T_{2.5}[:]/dum[:])^0.5 m_{total}[:]/\alpha_{+1}[:]*1/100*9.81*(1.68e+03 + 17.7*\pi_{f}[:]*\pi_{lc}[:]*\pi_{hc}[:]/30 + 1.66e+03*(\alpha[:]/5)^1.2) <= W_{engine} d_{f} = (4*A_{2}/(PI*HTR_{f_{SUB}}))^0.5 d_{LPC} = (4*A_{2.5}/(PI*HTR_{lpc_{SUB}}))^0.5 \eta_{B}*f[:]*h_{f} >= [[(1 - \alpha_c)*h_{t_4}[0,0] - (1 - \alpha_c)*h_{t_3}[0,0]], [(1 - \alpha_c)*h_{t_4}[1,0] - (1 - \alpha_c)*h_{t_3}[1,0]], [(1 - \alpha_c)*h_{t_4}[2,0] - (1 - \alpha_c)*h_{t_3}[2,0]], [(1 - \alpha_c)*h_{t_4}[3,0] - (1 - \alpha_c)*h_{t_3}[3,0]], [(1 - \alpha_c)*h_{t_4}[4,0] - (1 - \alpha_c)*h_{t_3}[4,0]]] + C_{p_{fuel}*f[:]*([[T_{t_4}[0,0] - T_{t_f}], [T_{t_4}[1,0] - T_{t_f}], [T_{t_4}[2,0] - T_{t_f}], [T_{t_4}[3,0] - T_{t_f}], [T_{t_4}[4,0] - T_{t_f}]]) h_{t_{4.1}}[:]*fp1[:] <= (1 - \alpha_c + f[:])*h_{t_4}[:] + \alpha_c*h_{t_3}[:] P_{t_4}[:] = \pi_{b}*P_{t_3}[:] M_{takeoff}*\eta_{HPshaft}*fp1[:]*([[h_{t_{4.1}}[0,0] - h_{t_{4.5}}[0,0]], [h_{t_{4.1}}[1,0] - h_{t_{4.5}}[1,0]], [h_{t_{4.1}}[2,0] - h_{t_{4.5}}[2,0]], [h_{t_{4.1}}[3,0] - h_{t_{4.5}}[3,0]], [h_{t_{4.1}}[4,0] - h_{t_{4.5}}[4,0]]]) >= [[h_{t_3}[0,0] - h_{t_{2.5}}[0,0]], [h_{t_3}[1,0] - h_{t_{2.5}}[1,0]], [h_{t_3}[2,0] - h_{t_{2.5}}[2,0]], [h_{t_3}[3,0] - h_{t_{2.5}}[3,0]], [h_{t_3}[4,0] - h_{t_{2.5}}[4,0]]] M_{takeoff}*\eta_{LPshaft}*fp1[:]*([[h_{t_{4.5}}[0,0] - h_{t_{4.9}}[0,0]], [h_{t_{4.5}}[1,0] - h_{t_{4.9}}[1,0]], [h_{t_{4.5}}[2,0] - h_{t_{4.9}}[2,0]], [h_{t_{4.5}}[3,0] - h_{t_{4.9}}[3,0]], [h_{t_{4.5}}[4,0] - h_{t_{4.9}}[4,0]]]) >= [[h_{t_{2.5}}[0,0] - h_{t_{1.8}}[0,0]], [h_{t_{2.5}}[1,0] - h_{t_{1.8}}[1,0]], [h_{t_{2.5}}[2,0] - h_{t_{1.8}}[2,0]], [h_{t_{2.5}}[3,0] - h_{t_{1.8}}[3,0]], [h_{t_{2.5}}[4,0] - h_{t_{1.8}}[4,0]]] + \alpha[:]*([[h_{t_{2.1}}[0,0] - h_{T_{2}}[0,0]], [h_{t_{2.1}}[1,0] - h_{T_{2}}[1,0]], [h_{t_{2.1}}[2,0] - h_{T_{2}}[2,0]], [h_{t_{2.1}}[3,0] - h_{T_{2}}[3,0]], [h_{t_{2.1}}[4,0] - h_{T_{2}}[4,0]]]) P_{t_{4.5}}[:] = \pi_{HPT}[:]*P_{t_{4.1}}[:] \pi_{HPT}[:] = (T_{t_{4.5}}[:]/T_{t_{4.1}}[:])^3.77163522013 \pi_{f}[:]*1.7/\pi_{f_D} = (1.05*N_{f}[:]^0.0871)^10 \pi_{f}[:]*1.7/\pi_{f_D} <= 1.1*(1.06*m_{tild_f}[:]^0.137)^10 \pi_{f}[:]*1.7/\pi_{f_D} >= 0.9*(1.06*m_{tild_f}[:]^0.137)^10 m_{f}[:] = m_{fan}[:]*(T_{T_{2}}[:]/T_{ref})^0.5/(P_{T_{2}}[:]/P_{ref}) \pi_{f}[:] >= 1 \pi_{lc}[:]*26/\pi_{lc_D} = (1.38*N_{1}[:]^0.566)^10 \pi_{lc}[:]*26/\pi_{lc_D} <= 1.1*(1.38*m_{tild_lc}[:]^0.122)^10 \pi_{lc}[:]*26/\pi_{lc_D} >= 0.9*(1.38*m_{tild_lc}[:]^0.122)^10 \pi_{lc}[:] >= 1 m_{lc}[:] = m_{core}[:]*(T_{T_{2}}[:]/T_{ref})^0.5/(P_{T_{2}}[:]/P_{ref}) \pi_{hc}[:]*26/\pi_{hc_D} = (1.38*N_{2}[:]^0.566)^10 \pi_{hc}[:]*26/\pi_{hc_D} >= 0.9*(1.38*m_{tild_{hc}}[:]^0.122)^10 \pi_{hc}[:]*26/\pi_{hc_D} <= 1.1*(1.38*m_{tild_{hc}}[:]^0.122)^10 m_{hc}[:] = m_{core}[:]*(T_{t_{2.5}}[:]/T_{ref})^0.5/(P_{t_{2.5}}[:]/P_{ref}) \pi_{hc}[:] >= 1 OPR[:] = \pi_{hc}[:]*\pi_{lc}[:]*\pi_{f}[:] P_{t_8}[:] = P_{t_7}[:] T_{t_8}[:] = T_{t_7}[:] P_{t_6}[:] = P_{t_5}[:] T_{t_6}[:] = T_{t_5}[:] F_{6}[:]/(M_{takeoff}*m_{core}[:]) + fp1[:]*V[:] <= fp1[:]*u_{6}[:] I_{sp}[:] = F_{sp}[:]*a[:]*\alpha_{+1}[:]/(f[:]*g) N_{f}[:]*G_{f} = N_{1}[:] N_{1}[:] <= 1.1 N_{2}[:] <= 1.1 fp1[:]*m_{hc}[:]*M_{takeoff}*P_{t_{2.5}}[:]/P_{t_{4.1}}[:]*(T_{t_{4.1}}[:]/T_{t_{2.5}}[:])^0.5 = m_{htD} fp1[:]*m_{lc}[:]*M_{takeoff}*P_{t_{1.8}}[:]/P_{t_{4.5}}[:]*(T_{t_{4.5}}[:]/T_{t_{1.8}}[:])^0.5 = m_{ltD} P_{7}[:]/P_{t_7}[:] = (T_{7}[:]/T_{t_7}[:])^3.5 (T_{7}[:]/T_{t_7}[:])^-1 >= 1 + 0.2*M_7[:]^2 P_{5}[:]/P_{t_5}[:] = (T_{5}[:]/T_{t_5}[:])^3.583979 (T_{5}[:]/T_{t_5}[:])^-1 >= 1 + 0.2*M_5[:]^2 M_{takeoff}*m_{core}[:] = \rho_5[:]*A_{5}*u_{5}[:]/fp1[:] m_{fan}[:] = \rho_7[:]*A_{7}*u_{7}[:] m_{total}[:] = m_{fan}[:] + m_{core}[:] P_{2}[:] = P_{T_{2}}[:]*hold_{2}[:]^-3.512 T_{2}[:] = T_{T_{2}}[:]*hold_{2}[:]^-1 m_{fan}[:]/(\rho_{2}[:]*u_{2}[:]) = A_{2} P_{2.5}[:] = P_{t_{2.5}}[:]*hold_{2.5}[:]^-3.824857 T_{2.5}[:] = T_{t_{2.5}}[:]*hold_{2.5}[:]^-1 m_{core}[:]/(\rho_{2.5}[:]*u_{2.5}[:]) = A_{2.5} 1.3*fp1[:]*M_{takeoff}*m_{coreD}*2.2/14.1 >= m_{htD} 0.7*fp1[:]*M_{takeoff}*m_{coreD}*2.2/14.1 <= m_{htD} 1.3*fp1[:]*M_{takeoff}*m_{coreD}*1.97/6.98 >= m_{ltD} 0.7*fp1[:]*M_{takeoff}*m_{coreD}*1.97/6.98 <= m_{ltD} m_{lc_D} >= 0.7*m_{coreD}/0.649 m_{lc_D} <= 1.3*m_{coreD}/0.649 m_{hc_D} >= 0.7*m_{coreD}*1.29/3.23 m_{hc_D} <= 1.3*m_{coreD}*1.29/3.23 \bar{m}_{fan_{D}} >= 0.7*\alpha_{OD}*m_{coreD}*0.932/0.405 \bar{m}_{fan_{D}} <= 1.3*\alpha_{OD}*m_{coreD}*0.932/0.405 F[:] = F_{spec}[:] T_{t_{4.1}}[:] <= T_{t_{4.1_{max}}} OPR[:] <= OPR_{max} VerticalTail VerticalTailNoStruct C_{L_{vt,yaw}} = 0.85*C_{L_{vt,max}} L_{vt,EO} = 0.5*\rho_{TO}*V_1^2*S_{vt}*C_{L_{vt,EO}} c_{l_{vt,EO}} >= C_{L_{vt,EO}}*(1 + c_{l_{vt,EO}}/(PI*e_{vt}*A_{vt})) A_{vt} = b_{vt}^2/S_{vt} b_{vt}*(c_{root_{vt}} + c_{tip_{vt}})/2 >= S_{vt} p_{vt} >= 1 + 2*\lambda_{vt} 2*q_{vt} >= 1 + p_{vt} y_{\bar{c}_{vt}} = b_{vt}/3*q_{vt}/p_{vt} z_{\bar{c}_{vt}} = b_{vt}/3*q_{vt}/p_{vt} 0.667*(1 + \lambda_{vt} + \lambda_{vt}^2)*c_{root_{vt}}/q_{vt} = \bar{c}_{vt} \lambda_{vt} = c_{tip_{vt}}/c_{root_{vt}} \Delta x_{trail_{vt}} >= \Delta x_{lead_{vt}} + c_{root_{vt}} \Delta x_{lead_{vt}} + y_{\bar{c}_{vt}}*\tan(\Lambda_{vt}) + 0.25*\bar{c}_{vt} >= l_{vt} \lambda_{vt} >= 0.25 V_{vt} >= V_{vt_{min}} WingBox AR_{vt} = (2*b_{vt})^2/(2*S_{vt}) 0.423*Mission.Aircraft.VerticalTail.WingBox.r_{w/c}*\tau_{vt}^2*t_{cap} >= 0.92*Mission.Aircraft.VerticalTail.WingBox.r_{w/c}*\tau_{vt}*t_{cap}^2 + I_{cap} \nu^3.94 >= 0.86*p_{vt}^-2.38 + 0.14*p_{vt}^0.56 W_{web} >= 8*\rho_{web}*g*r_h*\tau_{vt}*t_{web}*(2*S_{vt})^1.5*\nu/(3*AR_{vt}^0.5) \tau_{vt} <= 0.14 W_{struct} >= 0.5*(W_{web} + W_{cap}) Mission.Aircraft.VerticalTail.WingBox.M_r >= 2*L_{vt_{max}}*AR_{vt}*p_{vt}/24 AR_{vt}*2*L_{vt_{max}}*Mission.Aircraft.VerticalTail.WingBox.N_{lift}*q_{vt}^2/(\tau_{vt}*2*S_{vt}*t_{web}*\sigma_{max,shear}) <= 12 W_{cap} >= 8*\rho_{cap}*g*Mission.Aircraft.VerticalTail.WingBox.r_{w/c}*t_{cap}*(2*S_{vt})^1.5*\nu/(3*AR_{vt}^0.5) Mission.Aircraft.VerticalTail.WingBox.N_{lift} = 1 Mission.Aircraft.VerticalTail.WingBox.N_{lift}*Mission.Aircraft.VerticalTail.WingBox.M_r*AR_{vt}*q_{vt}^2*\tau_{vt}/(2*S_{vt}*I_{cap}*\sigma_{max}) <= 8 \lambda_{vt} = taper W_{vt} >= N_{spar}*C_{VT}*(W_{struct} + W_{struct}*f_{VT}) HorizontalTail HorizontalTailNoStruct \Delta x_{lead_{ht}} + y_{\bar{c}_{ht}}*\tan(\Lambda_{ht}) + 0.25*\bar{c}_{ht} >= l_{ht} \Delta x_{trail_{ht}} >= \Delta x_{lead_{ht}} + c_{root_{ht}} p_{ht} >= 1 + 2*\lambda_{ht} 2*q_{ht} >= 1 + p_{ht} y_{\bar{c}_{ht}} = b_{ht}/3*q_{ht}/p_{ht} 0.667*(1 + \lambda_{ht} + \lambda_{ht}^2)*c_{root_{ht}}/q_{ht} = \bar{c}_{ht} \lambda_{ht} = c_{tip_{ht}}/c_{root_{ht}} S_{ht} = b_{ht}*(c_{root_{ht}} + c_{tip_{ht}})/2 0.0524*\lambda_{ht}^4 - 0.15*\lambda_{ht}^3 + 0.166*\lambda_{ht}^2 - 0.0706*\lambda_{ht} + 0.0119 <= f(\lambda_{ht}) e_{ht}*(1 + f(\lambda_{ht})*AR_{ht}) <= 1 AR_{ht} = b_{ht}^2/S_{ht} \lambda_{ht} >= 0.2 \lambda_{ht} <= 1 WingBox AR_{ht} = b_{ht}^2/S_{ht} 0.423*Mission.Aircraft.HorizontalTail.WingBox.r_{w/c}*\tau_{ht}^2*t_{cap} >= 0.92*Mission.Aircraft.HorizontalTail.WingBox.r_{w/c}*\tau_{ht}*t_{cap}^2 + I_{cap} \nu^3.94 >= 0.86*p_{ht}^-2.38 + 0.14*p_{ht}^0.56 W_{web} >= 8*\rho_{web}*g*r_h*\tau_{ht}*t_{web}*S_{ht}^1.5*\nu/(3*AR_{ht}^0.5) \tau_{ht} <= 0.14 W_{struct} >= W_{web} + W_{cap} L_{ht_{tri_{out}}} >= L_{ht_{tri}}*b_{ht_{out}}^2/(0.5*b_{ht})^2 L_{ht_{rect_{out}}} >= L_{ht_{rect}}*b_{ht_{out}}/(0.5*b_{ht}) 2*AR_{ht}*L_{shear}*Mission.Aircraft.HorizontalTail.WingBox.N_{lift}*q_{ht}^2/(\tau_{ht}*S_{ht}*t_{web}*\sigma_{max,shear}) <= 12 W_{cap} >= \pi_{M-fac}*8*\rho_{cap}*g*Mission.Aircraft.HorizontalTail.WingBox.r_{w/c}*t_{cap}*S_{ht}^1.5*\nu/(3*AR_{ht}^0.5) Mission.Aircraft.HorizontalTail.WingBox.N_{lift} = 1 Mission.Aircraft.HorizontalTail.WingBox.N_{lift}*Mission.Aircraft.HorizontalTail.WingBox.M_r*AR_{ht}*q_{ht}^2*\tau_{ht}/(S_{ht}*I_{cap}*\sigma_{max}) <= 8 L_{ht_{rect}} >= L_{ht_{max}}/2*c_{tip_{ht}}*b_{ht}/S_{ht} L_{ht_{max}}/4*(1 - taper)*c_{root_{ht}}*b_{ht}/S_{ht} <= L_{ht_{tri}} W_{ht} >= C_{ht}*(W_{struct} + W_{struct}*f_{ht}) LandingGear l_n + z_{wing} + y_m*\tan(\gamma) >= l_m T = 2*y_m x_m >= x_n + B x_n >= 5 \tan(\phi) = \tan(\phi_{min}) (z_{CG} + l_m)^0*(y_m^2 + B^2)/(\Delta x_n*y_m*\tan(\psi))^2 <= 1 \tan(\psi) <= \tan(\psi_{max}) x_{up} - x_m <= l_m/\tan(\theta_{max}) y_m >= l_m S_{sa} = 1/\eta_s*E_{land}/(L_m*\lambda_{LG}) l_{oleo} = 2.5*S_{sa} d_{oleo} = 1.3*(4*\lambda_{LG}*L_m/n_{mg}/(PI*p_{oleo}))^0.5 l_m >= l_{oleo} + d_{t_m}/2 F_{w_m} = L_{w_m}*d_{t_m}/(1e+03 [N*in]) W_{wa,m} = 1.2*F_{w_m}^0.609 F_{w_n} = L_{w_n}*d_{t_n}/1e+03 W_{wa,n} = 1.2*F_{w_n}^0.609 L_{w_m} = L_m/(n_{mg}*n_{wps}) L_{w_n} = L_n/n_{wps} d_{t_m} = 1.63*(L_{w_m}/4.44)^0.315 w_{t_m} = 0.104*(L_{w_m}/4.44)^0.48 d_{t_n} = 0.8*d_{t_m} w_{t_n} = 0.8*w_{t_m} W_{ms} >= 2PI*r_m*t_m*l_m*\rho_{st}*g N_s*\lambda_{LG}*L_m/n_{mg} <= \sigma_{y_c}*2PI*r_m*t_m W_{mw} = n_{wps}*W_{wa,m} W_{ns} >= 2PI*r_n*t_n*l_n*\rho_{st}*g \sigma_{y_c}*2PI*r_n*t_n >= N_s*(L_n + L_{n_{dyn}}) W_{nw} >= n_{wps}*W_{wa,n} L_m <= 9.87*E*I_m/(K*l_m)^2 I_m = PI*r_m^3*t_m L_n <= 9.87*E*I_n/(K*l_n)^2 I_n = PI*r_n^3*t_n 2*r_m/t_m <= 40 2*r_m/t_n <= 40 h_{hold} >= 2*w_{t_m} + 2*r_m 0.8 >= 2*w_{t_n} + 2*r_n W_{mg} >= n_{mg}*(W_{ms} + W_{mw}*(1 + f_{add,m})) W_{ng} >= W_{ns} + W_{nw}*(1 + f_{add,n}) W_{lg} >= C_{lg}*(W_{mg} + W_{ng}) W_{lg}*x_{CG_{lg}} >= W_{ng}*x_n + W_{mg}*x_m x_m >= x_{CG_{lg}} c_{root} = c_0 Mission.Aircraft.Wing.WingBox.r_{w/c} = Mission.Aircraft.Fuselage.r_{w/c} x_w = x_{wing} Mission.Aircraft.Fuselage.N_{lift} = Mission.Aircraft.Wing.WingBox.N_{lift} f_{L_{total/wing}}*L_{max} >= Mission.Aircraft.Wing.WingBox.N_{lift}*W_{total, max} + L_{ht_{max}} W_{dry}[:] >= W_{fuse} + n_{eng}*W_{engsys} + W_{tail} + W_{wing} + W_{misc} W_{f_{total}}[:] + W_{dry}[:] + W_{payload}[:] <= W_{total}[:] W_{f_{total}}[:] + W_{dry}[:] + W_{payload}[:] <= W_{total}[:] W_{f_{total}}[:] >= W_{f_{primary}}[:] + f_{fuel_{res}}*W_{f_{primary}}[:] W_{f_{primary}}[:] >= W_{f_{climb}}[:] + W_{f_{cruise}}[:] W_{total}[:] <= W_{total, max} f_{wingfuel}*W_{f_{total}}[:]/FuelFrac <= W_{fuel_{wing}} W_{misc} >= W_{lg} + W_{hpesys} W_{hpesys} = f_{hpesys}*W_{total, max} x_n <= l_{nose} x_m >= x_{wing} \Delta x_{AC_{wing}} + x_{wing} >= x_m x_{hpesys} = 1.1*l_{nose} x_{misc}*W_{misc} >= x_{hpesys}*W_{hpesys} d_{nacelle} >= d_{f} + 2*t_{nacelle} E_{land} >= W_{total, max}/(2*g)*w_{ult}^2 x_{up} = x_{shell2} L_n = W_{total, max}*\Delta x_m/B L_m = W_{total, max}*\Delta x_n/B L_{n_{dyn}} >= 0.31*(z_{CG} + l_m)/B*W_{total, max} y_{eng} >= y_m 3*n_{vt}*Mission.Aircraft.VerticalTail.WingBox.M_r*c_{root_{vt}}*(p_{\lambda_{vt}} - 1) >= n_{vt}*L_{vt_{max}}*b_{vt}*p_{\lambda_{vt}} V_{cone}*(1 + \lambda_{cone})*(PI + 4*\theta_{db}) >= n_{vt}*Mission.Aircraft.VerticalTail.WingBox.M_r*c_{root_{vt}}/\tau_{cone}*(PI + 2*\theta_{db})*l_{cone}/R_{fuse} W_{tail} >= n_{vt}*W_{vt} + W_{ht} 2*w_{fuse} >= SPR*w_{seat} + n_{aisle}*w_{aisle} + 2*w_{sys} + t_{db} B_{1v} = r_{M_v}*n_{vt}*L_{vt_{max}}/(w_{fuse}*\sigma_{M_v}) m_{ratio}*(1 + 2/AR) = 1 + 2/AR_{ht} x_{CG_{ht}} <= l_{fuse} V_{ht} = S_{ht}*l_{ht}/(S*mac) L_{ht_{max}} >= 0.5*\rho_{T/O}*V_{ne}^2*S_{ht}*C_{L_{ht,max}} L_{vt_{max}} >= 0.5*\rho_{T/O}*V_{ne}^2*S_{vt}*C_{L_{vt,max}} x_{CG_{vt}} <= l_{fuse} V_{vt} = n_{vt}*S_{vt}*l_{vt}/(S*b) n_{vt}*0.5*\rho_{TO}*V_{land}^2*S_{vt}*l_{vt}*C_{L_{vt,yaw}} >= \dot{r}_{req}*I_{z, max} n_{vt}*L_{vt,EO}*l_{vt} >= T_e*y_{eng} + D_{wm}*y_{eng} D_{wm} >= 0.5*\rho_{TO}*V_1^2.0*A_{2}*C_{D_{wm}} I_{z}[:] >= I_{z_{wing}}[:] + I_{z_{tail}}[:] + I_{z_{fuse}}[:] I_{z}[:] <= I_{z, max} S_{nacelle} = r_{S_{nacelle}}*PI*0.25*d_{f}^2 l_{nacelle} = 0.15*d_{f}*r_{S_{nacelle}} f_{S_{nacelle}} = S_{nacelle}*S^-1 A_{inlet} = 0.4*S_{nacelle} A_{fancowl} = 0.2*S_{nacelle} A_{exh} = 0.4*S_{nacelle} A_{corecowl} = 3PI*d_{LPC}^2 W_{nacelle} >= ((2.5 + 0.238*d_{f})*A_{inlet} + 1.9*A_{fancowl} + (2.5 + 0.0363*d_{f})*A_{exh} + 1.9*A_{corecowl}) W_{eadd} = f_{eadd}*W_{engine} W_{pylon} >= (W_{nacelle} + W_{eadd} + W_{engine})*f_{pylon} W_{engsys} >= C_{engsys}*(W_{pylon} + W_{nacelle} + W_{eadd} + W_{engine}) y_{eng} = 0.5*w_{fuse} (L_{max} - Mission.Aircraft.Wing.WingBox.N_{lift}*(W_{wing} + f_{wingfuel}*W_{f_{total}}[:]))*b^2/(12*S)*(c_{root} + 2*c_{tip}) <= Mission.Aircraft.Wing.WingBox.M_r*c_{root} A_{1h_{Land}} >= N_{land}*(W_{tail} + n_{eng}*W_{engsys} + W_{apu})/(h_{fuse}*\sigma_{bend}) A_{1h_{MLF}} >= (Mission.Aircraft.Fuselage.N_{lift}*(W_{tail} + n_{eng}*W_{engsys} + W_{apu}) + r_{M_h}*L_{ht_{max}})/(h_{fuse}*\sigma_{M_h}) I_{z_{wing}}[:] >= (W_{fuel_{wing}} + W_{wing})/(S*9.81)*c_{root}*b^3.0*(0.0833 - (1 - \lambda)/16) I_{z_{tail}}[:] >= (W_{apu} + W_{vt} + n_{eng}*W_{engsys})*l_{vt}^2.0/9.81 + W_{ht}*l_{ht}^2.0/9.81 I_{z_{fuse}}[:] >= (W_{fuse} + W_{payload_{max}})/l_{fuse}*(x_{wing}^3.0 + l_{vt}^3.0)/(3*9.81) x_{shell2} + l_{cone} >= x_{eng} x_{eng} >= x_{shell2} + 0.75*l_{cone} S_{floor} = 0.312*P_{floor} M_{floor} = 0.0352*P_{floor}*w_{floor} \Delta R_{fuse} = R_{fuse}*0.43/1.75 b_{ht}/4*L_{ht_{rect}} + b_{ht}/3*L_{ht_{tri}} = b_{ht_{out}}*L_{ht_{max}}/2 b_{ht_{out}} = 0.5*b_{ht} - w_{fuse} L_{ht_{rect}}*b_{ht}/4 + L_{ht_{tri}}*b_{ht}/6 - w_{fuse}*L_{ht_{max}}/2 <= Mission.Aircraft.HorizontalTail.WingBox.M_r*c_{root_{ht}} M_{r_{out}}*c_{attach} >= L_{ht_{rect_{out}}}*0.5*b_{ht_{out}} + L_{ht_{tri_{out}}}*0.333*b_{ht_{out}} L_{shear} >= L_{ht_{rect_{out}}} + L_{ht_{tri_{out}}} c_{tip_{ht}} + (1 - \lambda_{ht})*2*b_{ht_{out}}/b_{ht}*c_{root_{ht}} = c_{attach} \pi_{M-fac} >= (0.5*(M_{r_{out}}*c_{attach} + Mission.Aircraft.HorizontalTail.WingBox.M_r*c_{root_{ht}})*w_{fuse}/(0.5*M_{r_{out}}*c_{attach}*b_{ht_{out}}) + 1)*b_{ht_{out}}/(0.5*b_{ht}) FlightSegment FlightState V[:] = V[:] a[:] = (\gamma[:]*R[:]*T_{atm}[:])^0.5 V[:] = M[:]*a[:] Altitude h[:] = hft[:] Atmosphere (P_{atm}[:]/p_{sl}[:])^0.190222560396 = T_{atm}[:]/T_{sl}[:] \rho[:] = P_{atm}[:]/(R_{atm}[:]/M_{atm}[:]*T_{atm}[:]) T_{sl}[:] = T_{atm}[:] + L_{atm}[:]*h[:] \mu[:] = C_1[:]*T_{atm}[:]^1.5/(6.64*T_s[:]^0.72) FlightP P_{excess}[:] + V[:]*D[:] <= V[:]*n_{eng}*F[:] RC[:] = P_{excess}[:]/W_{avg}[:] \theta[:]*V[:] = RC[:] dhft[:] = tmin[:]*RC[:] R_{segment}[:] = thr[:]*V[:] WingPerformance 0.5*\rho[:]*V[:]^2*S*C_{L}[:] >= L_w[:] + \Delta L_{o}[:] + 2*\Delta L_{t}[:] \Delta L_{o}[:] = \eta_{o}[:]*f_{L_{o}}[:]*b/2*p_{o}[:] \Delta L_{t}[:] = f_{L_{t}}[:]*p_{o}[:]*c_{root}*taper^2 (AR/\eta)^2*(1 + \tan(\Lambda)^2 - M[:]^2) + 8PI*AR/C_{L_{\alpha,w}}[:] = (2PI*AR/C_{L_{\alpha,w}}[:])^2 C_{L}[:] = C_{L_{\alpha,w}}[:]*\alpha_w[:] \alpha_w[:] <= \alpha_{max,w}[:] D_{wing}[:] = 0.5*\rho[:]*V[:]^2*S*C_{d_w}[:] C_{d_w}[:] >= C_{D_{p_w}}[:] + C_{D_{i_w}}[:] C_{D_{i_w}}[:] >= TipReduct*C_{L}[:]^2/(PI*e*AR) Re_w[:] = \rho[:]*V[:]*mac/\mu[:] C_{D_{p_w}}[:]^1.6515 >= 1.61*(Re_w[:]/1e+03)^-0.550434*\tau^1.29151*(\cos(\Lambda)*M[:])^3.03609*C_{L}[:]^1.77743 + 0.0466*(Re_w[:]/1e+03)^-0.389048*\tau^0.784123*(\cos(\Lambda)*M[:])^-0.340157*C_{L}[:]^0.950763 + 191*(Re_w[:]/1e+03)^-0.218621*\tau^3.94654*(\cos(\Lambda)*M[:])^19.2524*C_{L}[:]^1.15233 + 2.82e-12*(Re_w[:]/1e+03)^1.18147*\tau^-1.75664*(\cos(\Lambda)*M[:])^0.10563*C_{L}[:]^-1.44114 FuselagePerformance (no constraints) VerticalTailPerformance D_{vt}[:] >= 0.5*\rho[:]*V[:]^2*S_{vt}*C_{D_{vis}}[:] Re_{vt}[:] = \rho[:]*V[:]*\bar{c}_{vt}/\mu[:] C_{D_{vis}}[:]^1.18909 >= 2.44e-77*Re_{vt}[:]^-0.52841*\tau_{vt}^133.796*M[:]^1022.7 + 0.00304*Re_{vt}[:]^-0.409988*\tau_{vt}^1.22062*M[:]^1.55119 + 0.000197*Re_{vt}[:]^0.214479*\tau_{vt}^-0.0383195*M[:]^-0.137561 + 6.59e-50*Re_{vt}[:]^-0.498092*\tau_{vt}^1.55922*M[:]^-114.577 HorizontalTailPerformance L_{ht}[:] = 0.5*\rho[:]*V[:]^2*S_{ht}*C_{L_{ht}}[:] C_{L_{ht}}[:] = C_{L_{\alpha,ht}}[:]*\alpha_{ht}[:] \alpha_{ht}[:] <= \alpha_{ht,max} C_{L_{\alpha,ht_0}}[:] = 6.28 D_{ht}[:] = 0.5*\rho[:]*V[:]^2*S_{ht}*C_{D_{ht}}[:] C_{D_{ht}}[:] >= C_{D_{0,ht}}[:] + C_{L_{ht}}[:]^2/(PI*e_{ht}*AR_{ht}) Re_{c_h}[:] = \rho[:]*V[:]*\bar{c}_{ht}/\mu[:] C_{D_{0,ht}}[:]^6.48983 >= 5.29e-20*Re_{c_h}[:]^0.900672*\tau_{ht}^0.912222*M[:]^8.64547 + 1.68e-28*Re_{c_h}[:]^0.350958*\tau_{ht}^6.29187*M[:]^10.2559 + 7.1e-25*Re_{c_h}[:]^1.39489*\tau_{ht}^1.96239*M[:]^0.567066 + 3.73e-14*Re_{c_h}[:]^-2.57406*\tau_{ht}^3.12793*M[:]^0.448159 + 1.44e-12*Re_{c_h}[:]^-3.91046*\tau_{ht}^4.66279*M[:]^7.68852 W_{burn}[:] = W_{burn}[:] F_{fuel}[:] = F_{fuel}[:] \rho_{cabin}[:] = P_{cabin}[:]/(R[:]*T_{cabin}[:]) P_{cabin}[:] = 7.5e+04 T_{cabin}[:] = 297 V[:] >= V_{stall}[:] W_{avg}[:] >= (W_{start}[:]*W_{end}[:])^0.5 + W_{buoy}[:] tmin[:] = thr[:] L_{fuse}[:] = (f_{L_{total/wing}} - 1)*L_w[:] L_{total}[:] = f_{L_{total/wing}}*L_w[:] L_{total}[:] >= W_{avg}[:] + L_{ht}[:] D_{fuse}[:] = 0.5*\rho[:]*V[:]^2*C_{D_{fuse}}[:]*l_{fuse}*R_{fuse}*M[:]^2/M_{fuseD}^2 D[:] >= D_{reduct}*(D_{wing}[:] + D_{fuse}[:] + n_{vt}*D_{vt}[:] + D_{ht}[:] + n_{eng}*D_{nacelle}[:]) C_D[:] = D[:]/(0.5*\rho[:]*V[:]^2*S) L/D[:] = W_{avg}[:]/D[:] W_{Load}[:] <= W_{Load_{max}}[:] W_{Load}[:] = 0.5*C_{L}[:]*S*\rho[:]*V[:]^2/S p_{o}[:] >= L_w[:]*c_{root}/S \eta_{o}[:] = w_{fuse}/(b/2) x_{AC}[:] <= x_{wing} + 0.25*\Delta x_{AC_{wing}} + x_{NP}[:] c_{m_{w}}[:] = 1.9 x_{NP}[:]/mac/V_{ht}*(AR + 2)*(1 + 2/AR_{ht}) = (1 + 2/AR)*(AR - 2) x_{CG}[:] + \Delta x_{trail_{vt}} <= l_{fuse} x_{CG}[:] + 0.5*(\Delta x_{lead_{vt}} + \Delta x_{trail_{vt}}) <= x_{CG_{vt}} x_{CG}[:] + 0.5*(\Delta x_{lead_{ht}} + \Delta x_{trail_{ht}}) <= x_{CG_{ht}} C_{L_{\alpha,ht}}[:] + 2*C_{L_{\alpha,w}}[:]/(PI*AR)*\eta_{ht}*C_{L_{\alpha,ht_0}}[:] <= C_{L_{\alpha,ht_0}}[:]*\eta_{ht} AR_{ht} >= 4 C_{L_{ht}}[:] >= 0.01 SM[:] <= ([[x_{AC}[0,0] - x_{CG}[0,0]], [x_{AC}[1,0] - x_{CG}[1,0]], [x_{AC}[2,0] - x_{CG}[2,0]], [x_{AC}[3,0] - x_{CG}[3,0]], [x_{AC}[4,0] - x_{CG}[4,0]]])/mac SM[:] >= SM_{min} SM_{min} + \Delta x_{CG}/mac + c_{m_{w}}[:]/C_{L_{w,max}} <= V_{ht}*m_{ratio} + V_{ht}*C_{L_{ht,max}}/C_{L_{w,max}} x_{AC}[:]/mac <= x_{CG}[:]/mac + c_{m_{w}}[:]/C_{L}[:] + V_{ht}*C_{L_{ht}}[:]/C_{L}[:] R_{e_{nacelle}}[:] = \rho[:]*V[:]*l_{nacelle}/\mu[:] C_{f_{nacelle}}[:] = 0.279/R_{e_{nacelle}}[:]^0.2 V_{nacelle}[:] = r_{v_{nacelle}}*V[:] V_{nacelle_ratio}[:] >= [[V_{nacelle}[0,0]*2/V[0,0] - V_2[0,0]/V[0,0]], [V_{nacelle}[1,0]*2/V[1,0] - V_2[1,0]/V[1,0]], [V_{nacelle}[2,0]*2/V[2,0] - V_2[2,0]/V[2,0]], [V_{nacelle}[3,0]*2/V[3,0] - V_2[3,0]/V[3,0]], [V_{nacelle}[4,0]*2/V[4,0] - V_2[4,0]/V[4,0]]] r_{v_{nsurf}}[:]^3.0 >= 0.25*(V_{nacelle_ratio}[:] + r_{v_{nacelle}})*(V_{nacelle_ratio}[:]^2.0 + r_{v_{nacelle}}^2.0) C_{d_{nacelle}}[:] = f_{S_{nacelle}}*C_{f_{nacelle}}[0]*r_{v_{nsurf}}[:]^3.0 D_{nacelle}[:] = C_{d_{nacelle}}[:]*0.5*\rho[:]*V[:]^2.0*S \Delta x_{lead_{vt}} + b_{vt}/\tan(\Lambda_{vt}) + w_{fuse}/\tan(\Lambda_{ht}) + c_{root_{ht}} >= \Delta x_{trail_{ht}} M_2[:3] = M[:3] M_{2.5}[:3] = 0.6 hold_{2}[:3] = 1.07164 hold_{2.5}[:3] = 1.06372 P_{excess}[:] + V[:]*D[:] <= V[:]*n_{eng}*F_{spec}[:] c1[:] = 1 + 0.201*M[:]^2.0 M_2[3:] = M[3:] M_{2.5}[3:] = 0.6 hold_{2}[3:] = 1.07164 hold_{2.5}[3:] = 1.06372 Beginning signomial solve. Using solver 'mosek' Solving for 1768 variables. Number of Hessian non-zeros: 2054 * Solving exponential optimization problem on dual form. * * The following log information refers to the solution of the dual problem. * Computer Platform : MACOSX/64-X86 Cores : 4 Problem Name : Objective sense : max Type : GECO (general convex optimization problem) Constraints : 1769 Cones : 0 Scalar variables : 6131 Matrix variables : 0 Integer variables : 0 Optimizer started. Interior-point optimizer started. Presolve started. Linear dependency checker started. Linear dependency checker terminated. Eliminator started. Total number of eliminations : 933 Eliminator terminated. Eliminator started. Total number of eliminations : 944 Eliminator terminated. Eliminator - tries : 2 time : 0.00 Eliminator - elim's : 944 Lin. dep. - tries : 1 time : 0.00 Lin. dep. - number : 0 Presolve terminated. Time: 0.01 Matrix reordering started. Local matrix reordering started. Local matrix reordering terminated. Matrix reordering terminated. Optimizer - threads : 4 Optimizer - solved problem : the primal Optimizer - Constraints : 776 Optimizer - Cones : 0 Optimizer - Scalar variables : 3452 conic : 0 Optimizer - Semi-definite variables: 0 scalarized : 0 Factor - setup time : 0.03 dense det. time : 0.00 Factor - ML order time : 0.00 GP order time : 0.02 Factor - nonzeros before factor : 1.64e+04 after factor : 1.50e+05 Factor - dense dim. : 0 flops : 0.00e+00 Factor - GP saved nzs : 0 GP saved flops : 0.00e+00 ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME 0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.286549258e+05 2.000000000e+00 1.0e+00 0.05 1 1.1e+03 1.5e+03 6.3e+04 -9.71e-01 -1.266024922e+05 3.598693670e+00 4.9e-01 0.06 2 4.2e+02 5.5e+02 2.4e+04 -9.38e-01 -1.201551142e+05 1.049723412e+01 1.8e-01 0.07 3 2.9e+02 3.7e+02 1.6e+04 -8.36e-01 -1.156934257e+05 6.529361624e+01 1.3e-01 0.09 4 2.8e+02 3.7e+02 1.6e+04 -7.59e-01 -1.132263681e+05 2.119352011e+03 1.3e-01 0.10 5 8.8e+01 1.2e+02 5.0e+03 -7.53e-01 -8.093604042e+04 8.548147696e+03 3.9e-02 0.11 6 3.7e+01 4.8e+01 2.1e+03 -2.92e-01 -4.777912696e+04 1.028826299e+04 1.6e-02 0.12 7 2.1e+01 2.8e+01 1.2e+03 2.57e-01 -3.169519463e+04 7.234712816e+03 9.5e-03 0.14 8 9.4e+00 1.2e+01 5.3e+02 5.39e-01 -1.514945135e+04 4.205067936e+03 4.2e-03 0.15 9 5.5e+00 7.2e+00 3.1e+02 8.14e-01 -8.814222119e+03 2.847748667e+03 2.5e-03 0.17 10 1.4e+00 1.8e+00 7.8e+01 9.08e-01 -2.053760908e+03 9.408839157e+02 6.1e-04 0.18 11 7.0e-01 9.2e-01 4.0e+01 9.94e-01 -8.378819341e+02 7.264710682e+02 3.2e-04 0.19 12 4.7e-01 6.2e-01 2.7e+01 9.97e-01 -4.838983752e+02 5.661965124e+02 2.2e-04 0.20 13 3.6e-01 7.9e-01 2.1e+01 9.79e-01 -3.176267395e+02 4.899351444e+02 1.6e-04 0.21 14 1.7e-01 3.8e-01 9.9e+00 9.96e-01 -1.967388643e+01 3.675580758e+02 7.9e-05 0.22 15 5.5e-02 1.6e-01 3.3e+00 9.95e-01 1.620939163e+02 2.906286565e+02 2.7e-05 0.23 16 3.2e-02 1.4e-01 1.9e+00 1.00e+00 1.996499288e+02 2.749097542e+02 1.6e-05 0.24 17 5.1e-03 1.8e-01 3.3e-01 1.00e+00 2.445324462e+02 2.572720737e+02 2.8e-06 0.25 18 1.5e-03 1.3e-01 9.7e-02 1.00e+00 2.509417918e+02 2.547011544e+02 8.3e-07 0.27 19 4.8e-04 1.1e-01 3.2e-02 1.00e+00 2.527811525e+02 2.540259852e+02 2.8e-07 0.28 20 2.1e-04 8.6e-02 1.4e-02 1.00e+00 2.532872695e+02 2.538371102e+02 1.2e-07 0.29 21 1.9e-04 7.8e-02 1.3e-02 1.00e+00 2.533284787e+02 2.538233497e+02 1.1e-07 0.30 22 1.7e-04 7.1e-02 1.1e-02 1.00e+00 2.533644277e+02 2.538097870e+02 1.0e-07 0.31 23 1.5e-04 6.5e-02 1.0e-02 1.00e+00 2.533968242e+02 2.537976313e+02 9.0e-08 0.32 24 1.4e-04 5.9e-02 9.3e-03 1.00e+00 2.534259549e+02 2.537866675e+02 8.1e-08 0.33 25 1.2e-04 5.4e-02 8.4e-03 1.00e+00 2.534521541e+02 2.537767839e+02 7.3e-08 0.34 26 1.1e-04 4.9e-02 7.5e-03 1.00e+00 2.534757162e+02 2.537678733e+02 6.6e-08 0.35 27 1.0e-04 4.5e-02 6.8e-03 1.00e+00 2.534969087e+02 2.537598421e+02 5.9e-08 0.36 28 9.1e-05 4.1e-02 6.1e-03 1.00e+00 2.535159710e+02 2.537526045e+02 5.3e-08 0.37 29 8.2e-05 3.8e-02 5.5e-03 1.00e+00 2.535331180e+02 2.537460828e+02 4.8e-08 0.38 30 7.4e-05 3.5e-02 4.9e-03 1.00e+00 2.535485429e+02 2.537402069e+02 4.3e-08 0.39 31 6.6e-05 3.2e-02 4.4e-03 1.00e+00 2.535624191e+02 2.537349132e+02 3.9e-08 0.40 32 6.0e-05 3.0e-02 4.0e-03 1.00e+00 2.535749025e+02 2.537301444e+02 3.5e-08 0.42 33 5.4e-05 2.7e-02 3.6e-03 1.00e+00 2.535861332e+02 2.537258487e+02 3.1e-08 0.44 34 4.8e-05 2.5e-02 3.2e-03 1.00e+00 2.535962370e+02 2.537219792e+02 2.8e-08 0.46 35 4.3e-05 2.4e-02 2.9e-03 1.00e+00 2.536053274e+02 2.537184940e+02 2.5e-08 0.49 36 3.9e-05 2.2e-02 2.6e-03 1.00e+00 2.536135060e+02 2.537153548e+02 2.3e-08 0.50 37 3.5e-05 2.1e-02 2.4e-03 1.00e+00 2.536208644e+02 2.537125276e+02 2.1e-08 0.51 38 3.2e-05 1.9e-02 2.1e-03 1.00e+00 2.536274851e+02 2.537099813e+02 1.9e-08 0.52 39 2.8e-05 1.8e-02 1.9e-03 1.00e+00 2.536334421e+02 2.537076882e+02 1.7e-08 0.53 40 2.6e-05 1.7e-02 1.7e-03 1.00e+00 2.536388020e+02 2.537056231e+02 1.5e-08 0.54 41 2.3e-05 1.6e-02 1.6e-03 1.00e+00 2.536436247e+02 2.537037635e+02 1.4e-08 0.56 42 2.1e-05 1.5e-02 1.4e-03 1.00e+00 2.536479643e+02 2.537020890e+02 1.2e-08 0.57 43 1.9e-05 1.4e-02 1.3e-03 1.00e+00 2.536518690e+02 2.537005811e+02 1.1e-08 0.59 44 1.7e-05 1.4e-02 1.1e-03 1.00e+00 2.536553826e+02 2.536992235e+02 9.9e-09 0.60 45 1.5e-05 1.3e-02 1.0e-03 1.00e+00 2.536585443e+02 2.536980010e+02 8.9e-09 0.61 46 1.4e-05 1.3e-02 9.2e-04 1.00e+00 2.536613895e+02 2.536969005e+02 8.0e-09 0.62 47 1.2e-05 1.2e-02 8.2e-04 1.00e+00 2.536639497e+02 2.536959096e+02 7.2e-09 0.63 48 1.1e-05 1.2e-02 7.4e-04 1.00e+00 2.536662536e+02 2.536950175e+02 6.5e-09 0.64 49 9.9e-06 1.1e-02 6.7e-04 1.00e+00 2.536683269e+02 2.536942144e+02 5.8e-09 0.65 50 8.9e-06 1.1e-02 6.0e-04 1.00e+00 2.536701927e+02 2.536934915e+02 5.2e-09 0.66 51 8.0e-06 1.0e-02 5.4e-04 1.00e+00 2.536718717e+02 2.536928407e+02 4.7e-09 0.68 52 7.2e-06 1.0e-02 4.9e-04 1.00e+00 2.536733827e+02 2.536922548e+02 4.2e-09 0.69 53 6.5e-06 9.9e-03 4.4e-04 1.00e+00 2.536747425e+02 2.536917274e+02 3.8e-09 0.71 54 5.9e-06 9.7e-03 3.9e-04 1.00e+00 2.536759662e+02 2.536912527e+02 3.4e-09 0.72 55 5.3e-06 9.4e-03 3.5e-04 1.00e+00 2.536770675e+02 2.536908254e+02 3.1e-09 0.73 56 4.8e-06 9.2e-03 3.2e-04 1.00e+00 2.536780586e+02 2.536904407e+02 2.8e-09 0.75 57 4.3e-06 9.1e-03 2.9e-04 1.00e+00 2.536789505e+02 2.536900944e+02 2.5e-09 0.76 58 3.8e-06 8.9e-03 2.6e-04 1.00e+00 2.536797532e+02 2.536897827e+02 2.3e-09 0.77 59 3.5e-06 8.7e-03 2.3e-04 1.00e+00 2.536804755e+02 2.536895021e+02 2.0e-09 0.79 60 3.1e-06 8.6e-03 2.1e-04 1.00e+00 2.536811256e+02 2.536892496e+02 1.8e-09 0.85 61 1.2e-06 3.4e-03 8.2e-05 1.00e+00 2.536846947e+02 2.536878615e+02 7.1e-10 0.86 62 1.1e-06 3.0e-03 7.3e-05 1.00e+00 2.536849233e+02 2.536877735e+02 6.4e-10 0.87 63 3.9e-07 1.1e-03 2.6e-05 1.00e+00 2.536862379e+02 2.536872619e+02 2.3e-10 0.88 64 3.5e-07 9.8e-04 2.4e-05 1.00e+00 2.536863117e+02 2.536872332e+02 2.1e-10 0.91 65 3.2e-07 8.8e-04 2.1e-05 1.00e+00 2.536863780e+02 2.536872074e+02 1.9e-10 0.93 66 2.9e-07 7.9e-04 1.9e-05 1.00e+00 2.536864377e+02 2.536871841e+02 1.7e-10 0.95 67 2.6e-07 7.1e-04 1.7e-05 1.00e+00 2.536864914e+02 2.536871632e+02 1.5e-10 0.96 68 2.3e-07 6.4e-04 1.6e-05 1.00e+00 2.536865397e+02 2.536871444e+02 1.4e-10 0.99 69 2.1e-07 5.8e-04 1.4e-05 1.00e+00 2.536865832e+02 2.536871274e+02 1.2e-10 1.00 70 1.9e-07 5.2e-04 1.3e-05 1.00e+00 2.536866224e+02 2.536871121e+02 1.1e-10 1.01 71 1.7e-07 4.7e-04 1.1e-05 1.00e+00 2.536866576e+02 2.536870984e+02 9.9e-11 1.05 72 1.5e-07 4.2e-04 1.0e-05 1.00e+00 2.536866893e+02 2.536870860e+02 8.9e-11 1.07 73 1.4e-07 3.8e-04 9.2e-06 1.00e+00 2.536867179e+02 2.536870749e+02 8.0e-11 1.11 74 1.2e-07 3.4e-04 8.3e-06 1.00e+00 2.536867436e+02 2.536870649e+02 7.2e-11 1.12 75 1.1e-07 3.1e-04 7.5e-06 1.00e+00 2.536867667e+02 2.536870559e+02 6.5e-11 1.14 76 1.0e-07 2.8e-04 6.7e-06 1.00e+00 2.536867875e+02 2.536870478e+02 5.9e-11 1.15 77 9.0e-08 2.5e-04 6.0e-06 1.00e+00 2.536868062e+02 2.536870405e+02 5.3e-11 1.16 78 8.1e-08 2.2e-04 5.4e-06 1.00e+00 2.536868231e+02 2.536870339e+02 4.7e-11 1.17 79 7.3e-08 2.0e-04 4.9e-06 1.00e+00 2.536868382e+02 2.536870280e+02 4.3e-11 1.19 80 6.5e-08 1.8e-04 4.4e-06 1.00e+00 2.536868519e+02 2.536870226e+02 3.8e-11 1.20 81 5.9e-08 1.6e-04 4.0e-06 1.00e+00 2.536868641e+02 2.536870178e+02 3.5e-11 1.22 82 5.3e-08 1.5e-04 3.6e-06 1.00e+00 2.536868752e+02 2.536870135e+02 3.1e-11 1.23 83 4.8e-08 1.3e-04 3.2e-06 1.00e+00 2.536868851e+02 2.536870096e+02 2.8e-11 1.26 84 4.3e-08 1.2e-04 2.9e-06 1.00e+00 2.536868941e+02 2.536870061e+02 2.5e-11 1.27 85 3.9e-08 1.1e-04 2.6e-06 1.00e+00 2.536869022e+02 2.536870030e+02 2.3e-11 1.49 86 3.5e-08 9.6e-05 2.3e-06 1.00e+00 2.536869094e+02 2.536870002e+02 2.0e-11 1.50 87 3.1e-08 8.6e-05 2.1e-06 1.00e+00 2.536869159e+02 2.536869976e+02 1.8e-11 1.51 88 2.8e-08 7.8e-05 1.9e-06 1.00e+00 2.536869218e+02 2.536869953e+02 1.7e-11 1.54 89 2.5e-08 7.0e-05 1.7e-06 1.00e+00 2.536869271e+02 2.536869933e+02 1.5e-11 1.62 90 2.3e-08 6.3e-05 1.5e-06 1.00e+00 2.536869318e+02 2.536869914e+02 1.3e-11 1.63 91 2.1e-08 5.7e-05 1.4e-06 1.00e+00 2.536869361e+02 2.536869897e+02 1.2e-11 1.64 92 1.8e-08 5.1e-05 1.2e-06 9.99e-01 2.536869400e+02 2.536869882e+02 1.1e-11 1.66 93 1.7e-08 4.6e-05 1.1e-06 1.00e+00 2.536869434e+02 2.536869869e+02 9.8e-12 1.67 94 1.5e-08 4.1e-05 1.0e-06 1.00e+00 2.536869466e+02 2.536869856e+02 8.8e-12 1.68 95 1.3e-08 3.7e-05 9.1e-07 1.00e+00 2.536869494e+02 2.536869845e+02 7.9e-12 1.70 96 1.2e-08 3.3e-05 8.2e-07 9.99e-01 2.536869519e+02 2.536869835e+02 7.1e-12 1.72 97 1.1e-08 3.0e-05 7.3e-07 1.00e+00 2.536869542e+02 2.536869827e+02 6.4e-12 1.74 98 9.8e-09 2.7e-05 6.6e-07 1.00e+00 2.536869562e+02 2.536869819e+02 5.8e-12 1.75 Interior-point optimizer terminated. Time: 1.76. Optimizer terminated. Time: 1.76 solsta = 1, prosta = 1 Interior-point solution summary Problem status : PRIMAL_AND_DUAL_FEASIBLE Solution status : OPTIMAL Primal. obj: 2.5368695622e+02 Viol. con: 2e-07 var: 0e+00 Dual. obj: 2.5368698185e+02 Viol. con: 0e+00 var: 2e-04 * End solution on dual form. * Transforming to primal solution. Solving took 1.78 seconds. Using solver 'mosek' Solving for 1768 variables. Number of Hessian non-zeros: 2054 * Solving exponential optimization problem on dual form. * * The following log information refers to the solution of the dual problem. * Computer Platform : MACOSX/64-X86 Cores : 4 Problem Name : Objective sense : max Type : GECO (general convex optimization problem) Constraints : 1769 Cones : 0 Scalar variables : 6131 Matrix variables : 0 Integer variables : 0 Optimizer started. Interior-point optimizer started. Presolve started. Linear dependency checker started. Linear dependency checker terminated. Eliminator started. Total number of eliminations : 933 Eliminator terminated. Eliminator started. Total number of eliminations : 943 Eliminator terminated. Eliminator - tries : 2 time : 0.00 Eliminator - elim's : 943 Lin. dep. - tries : 1 time : 0.00 Lin. dep. - number : 0 Presolve terminated. Time: 0.01 Matrix reordering started. Local matrix reordering started. Local matrix reordering terminated. Matrix reordering terminated. Optimizer - threads : 4 Optimizer - solved problem : the primal Optimizer - Constraints : 777 Optimizer - Cones : 0 Optimizer - Scalar variables : 3454 conic : 0 Optimizer - Semi-definite variables: 0 scalarized : 0 Factor - setup time : 0.03 dense det. time : 0.00 Factor - ML order time : 0.00 GP order time : 0.02 Factor - nonzeros before factor : 1.64e+04 after factor : 1.50e+05 Factor - dense dim. : 0 flops : 0.00e+00 Factor - GP saved nzs : 0 GP saved flops : 0.00e+00 ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME 0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.287360498e+05 2.000000000e+00 1.0e+00 0.04 1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.265110231e+05 3.765083271e+00 4.7e-01 0.30 2 4.6e+02 6.0e+02 2.6e+04 -9.35e-01 -1.210809027e+05 9.892075703e+00 2.0e-01 0.31 3 2.9e+02 3.8e+02 1.6e+04 -8.49e-01 -1.159070553e+05 5.291029286e+01 1.3e-01 0.32 4 2.9e+02 3.8e+02 1.6e+04 -7.62e-01 -1.137407596e+05 1.901983808e+03 1.3e-01 0.34 5 8.2e+01 1.1e+02 4.6e+03 -7.57e-01 -7.821511987e+04 9.193951107e+03 3.6e-02 0.35 6 3.6e+01 4.7e+01 2.0e+03 -2.50e-01 -4.672141027e+04 1.020378755e+04 1.6e-02 0.35 7 1.8e+01 2.4e+01 1.0e+03 2.80e-01 -2.779391352e+04 6.414826576e+03 8.1e-03 0.36 8 9.2e+00 1.2e+01 5.2e+02 6.08e-01 -1.476472233e+04 4.041024114e+03 4.1e-03 0.37 9 5.6e+00 7.3e+00 3.2e+02 8.20e-01 -9.111224250e+03 2.774448720e+03 2.5e-03 0.38 10 2.0e+00 2.6e+00 1.1e+02 9.05e-01 -3.122705162e+03 1.195419965e+03 8.8e-04 0.39 11 1.6e+00 2.1e+00 9.1e+01 9.74e-01 -2.491814036e+03 1.045767851e+03 7.2e-04 0.66 12 9.0e-01 1.3e+00 5.1e+01 9.76e-01 -1.305224190e+03 6.750623014e+02 4.0e-04 0.67 13 4.7e-01 7.3e-01 2.7e+01 9.85e-01 -5.931153682e+02 4.528538104e+02 2.1e-04 0.68 14 2.3e-01 3.6e-01 1.3e+01 9.97e-01 -2.041455842e+02 3.185247225e+02 1.1e-04 0.70 15 1.0e-01 1.7e-01 5.9e+00 1.00e+00 6.363134650e+00 2.384155264e+02 4.8e-05 0.71 16 5.4e-02 1.1e-01 3.1e+00 1.00e+00 8.470040322e+01 2.067535686e+02 2.5e-05 0.72 17 1.1e-02 1.5e-01 7.0e-01 1.00e+00 1.527923567e+02 1.799084460e+02 5.8e-06 0.73 18 6.2e-03 1.0e-01 3.8e-01 1.01e+00 1.616036194e+02 1.764886362e+02 3.2e-06 0.74 19 1.8e-03 1.1e-01 1.2e-01 1.01e+00 1.691302021e+02 1.736215397e+02 9.8e-07 0.75 20 4.9e-04 1.2e-01 3.2e-02 1.01e+00 1.715040313e+02 1.727335439e+02 2.7e-07 1.14 21 1.7e-04 1.0e-01 1.1e-02 1.00e+00 1.720902964e+02 1.725234541e+02 9.7e-08 1.43 22 1.4e-04 8.6e-02 9.1e-03 1.00e+00 1.721496464e+02 1.724997935e+02 7.9e-08 1.50 23 6.4e-05 7.6e-02 4.2e-03 1.00e+00 1.722876612e+02 1.724485688e+02 3.6e-08 1.71 24 5.7e-05 6.9e-02 3.8e-03 1.00e+00 1.723003973e+02 1.724452282e+02 3.3e-08 1.73 25 5.2e-05 6.3e-02 3.4e-03 1.00e+00 1.723108298e+02 1.724411723e+02 2.9e-08 1.76 26 4.6e-05 5.8e-02 3.0e-03 1.00e+00 1.723202759e+02 1.724375804e+02 2.6e-08 1.83 27 4.2e-05 5.3e-02 2.7e-03 1.00e+00 1.723287548e+02 1.724343257e+02 2.4e-08 1.84 28 3.8e-05 4.8e-02 2.5e-03 1.00e+00 1.723363728e+02 1.724313839e+02 2.1e-08 2.26 29 3.4e-05 4.4e-02 2.2e-03 1.00e+00 1.723432186e+02 1.724287263e+02 1.9e-08 2.65 30 3.0e-05 4.1e-02 2.0e-03 1.00e+00 1.723493709e+02 1.724263260e+02 1.7e-08 2.76 31 2.7e-05 3.7e-02 1.8e-03 1.00e+00 1.723549007e+02 1.724241587e+02 1.6e-08 3.04 32 2.5e-05 3.4e-02 1.6e-03 1.00e+00 1.723598716e+02 1.724222025e+02 1.4e-08 3.62 33 2.2e-05 3.2e-02 1.5e-03 1.00e+00 1.723643406e+02 1.724204372e+02 1.3e-08 3.88 34 2.0e-05 2.9e-02 1.3e-03 1.00e+00 1.723683586e+02 1.724188447e+02 1.1e-08 3.96 35 1.8e-05 2.7e-02 1.2e-03 1.00e+00 1.723719716e+02 1.724174084e+02 1.0e-08 3.99 36 1.6e-05 2.5e-02 1.1e-03 1.00e+00 1.723752205e+02 1.724161131e+02 9.2e-09 4.01 37 1.5e-05 2.4e-02 9.6e-04 1.00e+00 1.723781423e+02 1.724149452e+02 8.3e-09 4.12 38 1.3e-05 2.2e-02 8.6e-04 1.00e+00 1.723807701e+02 1.724138923e+02 7.5e-09 4.49 39 1.2e-05 2.1e-02 7.7e-04 1.00e+00 1.723831335e+02 1.724129432e+02 6.7e-09 4.62 40 1.1e-05 1.9e-02 7.0e-04 1.00e+00 1.723852593e+02 1.724120877e+02 6.0e-09 4.76 41 9.6e-06 1.8e-02 6.3e-04 1.00e+00 1.723871714e+02 1.724113168e+02 5.4e-09 4.99 42 8.6e-06 1.7e-02 5.6e-04 1.00e+00 1.723888913e+02 1.724106221e+02 4.9e-09 5.16 43 7.7e-06 1.6e-02 5.1e-04 1.00e+00 1.723904385e+02 1.724099962e+02 4.4e-09 5.48 44 7.0e-06 1.5e-02 4.6e-04 1.00e+00 1.723918304e+02 1.724094322e+02 4.0e-09 5.53 45 6.3e-06 1.5e-02 4.1e-04 1.00e+00 1.723930825e+02 1.724089241e+02 3.6e-09 5.63 46 5.6e-06 1.4e-02 3.7e-04 1.00e+00 1.723942090e+02 1.724084664e+02 3.2e-09 5.86 47 5.1e-06 1.3e-02 3.3e-04 1.00e+00 1.723952225e+02 1.724080541e+02 2.9e-09 5.93 48 4.6e-06 1.3e-02 3.0e-04 1.00e+00 1.723961343e+02 1.724076827e+02 2.6e-09 6.02 49 4.1e-06 1.2e-02 2.7e-04 1.00e+00 1.723969546e+02 1.724073482e+02 2.3e-09 6.14 50 3.7e-06 1.2e-02 2.4e-04 1.00e+00 1.723976927e+02 1.724070470e+02 2.1e-09 6.39 51 3.3e-06 1.1e-02 2.2e-04 1.00e+00 1.723983569e+02 1.724067757e+02 1.9e-09 6.76 52 3.0e-06 1.1e-02 2.0e-04 1.00e+00 1.723989544e+02 1.724065313e+02 1.7e-09 6.90 53 2.7e-06 1.1e-02 1.8e-04 1.00e+00 1.723994921e+02 1.724063114e+02 1.5e-09 7.03 54 2.4e-06 1.0e-02 1.6e-04 1.00e+00 1.723999759e+02 1.724061132e+02 1.4e-09 7.18 55 2.2e-06 1.0e-02 1.4e-04 1.00e+00 1.724004112e+02 1.724059348e+02 1.2e-09 7.30 56 2.0e-06 9.8e-03 1.3e-04 1.00e+00 1.724008029e+02 1.724057742e+02 1.1e-09 7.52 57 1.8e-06 9.6e-03 1.2e-04 1.00e+00 1.724011554e+02 1.724056296e+02 1.0e-09 7.57 58 1.6e-06 9.4e-03 1.0e-04 1.00e+00 1.724014725e+02 1.724054994e+02 9.1e-10 7.68 59 1.4e-06 9.2e-03 9.4e-05 1.00e+00 1.724017579e+02 1.724053821e+02 8.2e-10 8.20 60 1.3e-06 9.0e-03 8.5e-05 1.00e+00 1.724020147e+02 1.724052765e+02 7.3e-10 8.46 61 1.2e-06 8.9e-03 7.6e-05 1.00e+00 1.724022458e+02 1.724051815e+02 6.6e-10 8.48 62 1.0e-06 8.8e-03 6.9e-05 1.00e+00 1.724024538e+02 1.724050959e+02 5.9e-10 8.51 63 9.4e-07 8.6e-03 6.2e-05 1.00e+00 1.724026409e+02 1.724050188e+02 5.4e-10 8.53 64 8.5e-07 8.5e-03 5.6e-05 1.00e+00 1.724028093e+02 1.724049494e+02 4.8e-10 8.55 65 7.6e-07 8.4e-03 5.0e-05 1.00e+00 1.724029608e+02 1.724048870e+02 4.3e-10 8.57 66 6.9e-07 8.3e-03 4.5e-05 1.00e+00 1.724030972e+02 1.724048307e+02 3.9e-10 8.59 67 6.2e-07 8.2e-03 4.1e-05 1.00e+00 1.724032199e+02 1.724047800e+02 3.5e-10 8.60 68 5.6e-07 8.2e-03 3.6e-05 1.00e+00 1.724033304e+02 1.724047345e+02 3.2e-10 8.63 69 5.0e-07 8.1e-03 3.3e-05 1.00e+00 1.724034297e+02 1.724046934e+02 2.8e-10 8.64 70 4.5e-07 8.0e-03 3.0e-05 1.00e+00 1.724035191e+02 1.724046565e+02 2.6e-10 9.06 71 4.1e-07 8.0e-03 2.7e-05 1.00e+00 1.724035996e+02 1.724046232e+02 2.3e-10 9.21 72 3.6e-07 7.9e-03 2.4e-05 1.00e+00 1.724036720e+02 1.724045933e+02 2.1e-10 9.34 73 3.3e-07 7.9e-03 2.2e-05 1.00e+00 1.724037372e+02 1.724045663e+02 1.9e-10 9.86 74 3.0e-07 7.8e-03 1.9e-05 1.00e+00 1.724037958e+02 1.724045420e+02 1.7e-10 10.15 75 2.7e-07 7.8e-03 1.7e-05 1.00e+00 1.724038486e+02 1.724045201e+02 1.5e-10 10.48 76 2.4e-07 7.7e-03 1.6e-05 9.98e-01 1.724038960e+02 1.724045005e+02 1.4e-10 10.89 77 2.2e-07 7.7e-03 1.4e-05 1.00e+00 1.724039388e+02 1.724044828e+02 1.2e-10 11.44 78 1.9e-07 7.7e-03 1.3e-05 1.00e+00 1.724039772e+02 1.724044668e+02 1.1e-10 11.72 79 1.7e-07 7.6e-03 1.1e-05 1.00e+00 1.724040118e+02 1.724044525e+02 9.9e-11 11.88 80 1.6e-07 7.6e-03 1.0e-05 9.99e-01 1.724040430e+02 1.724044395e+02 8.9e-11 12.02 81 1.4e-07 7.6e-03 9.3e-06 9.99e-01 1.724040710e+02 1.724044279e+02 8.0e-11 12.23 82 1.3e-07 7.5e-03 8.3e-06 1.00e+00 1.724040962e+02 1.724044174e+02 7.2e-11 12.35 83 1.1e-07 7.5e-03 7.5e-06 1.00e+00 1.724041189e+02 1.724044080e+02 6.5e-11 12.47 84 1.0e-07 7.5e-03 6.8e-06 9.99e-01 1.724041393e+02 1.724043995e+02 5.9e-11 12.73 85 9.3e-08 7.5e-03 6.1e-06 1.00e+00 1.724041577e+02 1.724043919e+02 5.3e-11 12.96 86 8.3e-08 7.5e-03 5.5e-06 1.00e+00 1.724041743e+02 1.724043850e+02 4.7e-11 13.00 87 7.5e-08 7.4e-03 4.9e-06 9.93e-01 1.724041891e+02 1.724043789e+02 4.3e-11 13.04 88 6.8e-08 7.4e-03 4.4e-06 1.00e+00 1.724042025e+02 1.724043733e+02 3.8e-11 13.06 89 6.1e-08 7.4e-03 4.0e-06 1.00e+00 1.724042146e+02 1.724043682e+02 3.5e-11 13.17 90 5.5e-08 6.7e-03 3.6e-06 1.01e+00 1.724042257e+02 1.724043636e+02 3.1e-11 13.31 91 4.9e-08 6.0e-03 3.2e-06 9.99e-01 1.724042354e+02 1.724043595e+02 2.8e-11 13.32 92 4.4e-08 5.4e-03 2.9e-06 1.01e+00 1.724042443e+02 1.724043558e+02 2.5e-11 13.35 93 4.0e-08 4.9e-03 2.6e-06 1.01e+00 1.724042525e+02 1.724043523e+02 2.3e-11 13.36 94 3.6e-08 4.4e-03 2.4e-06 1.00e+00 1.724042597e+02 1.724043494e+02 2.1e-11 13.52 95 3.2e-08 3.9e-03 2.1e-06 9.92e-01 1.724042660e+02 1.724043468e+02 1.9e-11 13.92 96 2.9e-08 3.5e-03 1.9e-06 1.01e+00 1.724042719e+02 1.724043442e+02 1.7e-11 14.14 97 2.6e-08 3.2e-03 1.7e-06 9.95e-01 1.724042770e+02 1.724043421e+02 1.5e-11 14.25 98 2.4e-08 2.9e-03 1.5e-06 1.00e+00 1.724042816e+02 1.724043402e+02 1.4e-11 14.41 99 2.1e-08 2.6e-03 1.4e-06 1.01e+00 1.724042859e+02 1.724043384e+02 1.2e-11 14.56 100 5.8e-09 6.7e-04 3.6e-07 1.03e+00 1.724043133e+02 1.724043267e+02 3.1e-12 14.57 101 5.2e-09 6.0e-04 3.3e-07 9.64e-01 1.724043143e+02 1.724043263e+02 2.8e-12 14.58 102 2.8e-09 1.5e-04 8.3e-08 1.07e+00 1.724043207e+02 1.724043236e+02 6.7e-13 14.60 Interior-point optimizer terminated. Time: 14.60. Optimizer terminated. Time: 14.61 solsta = 1, prosta = 1 Interior-point solution summary Problem status : PRIMAL_AND_DUAL_FEASIBLE Solution status : OPTIMAL Primal. obj: 1.7240432073e+02 Viol. con: 9e-08 var: 0e+00 Dual. obj: 1.7240432363e+02 Viol. con: 0e+00 var: 1e-03 * End solution on dual form. * Transforming to primal solution. Solving took 14.6 seconds. Using solver 'mosek' Solving for 1768 variables. Number of Hessian non-zeros: 2054 * Solving exponential optimization problem on dual form. * * The following log information refers to the solution of the dual problem. * Computer Platform : MACOSX/64-X86 Cores : 4 Problem Name : Objective sense : max Type : GECO (general convex optimization problem) Constraints : 1769 Cones : 0 Scalar variables : 6131 Matrix variables : 0 Integer variables : 0 Optimizer started. Interior-point optimizer started. Presolve started. Linear dependency checker started. Linear dependency checker terminated. Eliminator started. Total number of eliminations : 933 Eliminator terminated. Eliminator started. Total number of eliminations : 943 Eliminator terminated. Eliminator - tries : 2 time : 0.00 Eliminator - elim's : 943 Lin. dep. - tries : 1 time : 0.00 Lin. dep. - number : 0 Presolve terminated. Time: 0.01 Matrix reordering started. Local matrix reordering started. Local matrix reordering terminated. Matrix reordering terminated. Optimizer - threads : 4 Optimizer - solved problem : the primal Optimizer - Constraints : 777 Optimizer - Cones : 0 Optimizer - Scalar variables : 3454 conic : 0 Optimizer - Semi-definite variables: 0 scalarized : 0 Factor - setup time : 0.03 dense det. time : 0.00 Factor - ML order time : 0.00 GP order time : 0.02 Factor - nonzeros before factor : 1.64e+04 after factor : 1.50e+05 Factor - dense dim. : 0 flops : 0.00e+00 Factor - GP saved nzs : 0 GP saved flops : 0.00e+00 ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME 0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.289933555e+05 2.000000000e+00 1.0e+00 0.04 1 1.1e+03 1.4e+03 6.2e+04 -9.71e-01 -1.268320420e+05 3.623040193e+00 4.8e-01 0.12 2 4.4e+02 5.7e+02 2.4e+04 -9.36e-01 -1.208314535e+05 1.006709329e+01 1.9e-01 0.13 3 2.9e+02 3.8e+02 1.6e+04 -8.42e-01 -1.161088720e+05 6.041766232e+01 1.3e-01 0.15 4 2.9e+02 3.8e+02 1.6e+04 -7.62e-01 -1.136047839e+05 2.178774347e+03 1.3e-01 0.46 5 8.0e+01 1.0e+02 4.5e+03 -7.55e-01 -7.726435802e+04 9.484466379e+03 3.5e-02 0.47 6 4.0e+01 5.2e+01 2.2e+03 -2.31e-01 -5.058302210e+04 1.013811289e+04 1.8e-02 0.57 7 3.0e+01 3.9e+01 1.7e+03 2.22e-01 -4.153553160e+04 8.375057700e+03 1.3e-02 0.62 8 1.8e+01 2.4e+01 1.0e+03 3.84e-01 -2.815869667e+04 5.382450289e+03 8.0e-03 0.63 9 7.8e+00 1.0e+01 4.4e+02 6.11e-01 -1.288936622e+04 3.138022765e+03 3.4e-03 0.64 10 4.0e+00 5.2e+00 2.2e+02 8.50e-01 -6.391120181e+03 2.123850521e+03 1.8e-03 0.92 11 2.3e+00 2.9e+00 1.3e+02 9.42e-01 -3.531978552e+03 1.326721043e+03 1.0e-03 1.35 12 9.5e-01 1.2e+00 5.3e+01 9.75e-01 -1.390749501e+03 6.696248129e+02 4.2e-04 1.56 13 8.0e-01 1.1e+00 4.5e+01 9.74e-01 -1.179928196e+03 5.959736401e+02 3.6e-04 1.71 14 7.0e-01 9.2e-01 4.0e+01 9.78e-01 -9.977732367e+02 5.542041053e+02 3.1e-04 1.93 15 2.2e-01 3.1e-01 1.3e+01 9.82e-01 -2.190129330e+02 2.844418426e+02 1.0e-04 1.95 16 1.4e-01 1.9e-01 7.8e+00 1.01e+00 -7.251322065e+01 2.329593868e+02 6.2e-05 2.00 17 8.0e-02 1.2e-01 4.6e+00 1.01e+00 2.161089178e+01 2.014322083e+02 3.7e-05 2.02 18 7.9e-02 1.2e-01 4.6e+00 1.02e+00 2.347454950e+01 2.015291708e+02 3.7e-05 2.34 19 6.4e-02 1.1e-01 3.7e+00 1.02e+00 5.596570271e+01 2.013726356e+02 3.0e-05 2.70 20 1.9e-02 9.8e-02 1.1e+00 1.01e+00 1.337681190e+02 1.766884484e+02 8.9e-06 2.97 21 5.6e-03 2.1e-01 3.4e-01 1.02e+00 1.576878240e+02 1.706488223e+02 2.7e-06 3.24 22 5.1e-03 2.1e-01 3.1e-01 9.94e-01 1.584025245e+02 1.701875208e+02 2.5e-06 3.29 23 3.3e-03 1.4e-01 2.0e-01 9.75e-01 1.613809086e+02 1.691225704e+02 1.6e-06 3.46 24 1.6e-03 8.5e-02 9.5e-02 9.88e-01 1.644340260e+02 1.680708079e+02 7.6e-07 3.72 25 9.0e-04 6.5e-02 5.5e-02 1.01e+00 1.655776965e+02 1.676834261e+02 4.4e-07 3.87 26 3.7e-04 7.8e-02 2.3e-02 1.01e+00 1.664718182e+02 1.673527082e+02 1.9e-07 4.04 27 1.7e-04 7.6e-02 1.1e-02 1.01e+00 1.668058713e+02 1.672189121e+02 8.8e-08 4.10 28 1.6e-04 7.0e-02 9.8e-03 1.01e+00 1.668397052e+02 1.672115363e+02 7.9e-08 4.13 29 1.4e-04 6.4e-02 8.8e-03 1.01e+00 1.668655091e+02 1.672000162e+02 7.2e-08 4.22 30 1.3e-04 5.8e-02 7.9e-03 1.01e+00 1.668891785e+02 1.671901580e+02 6.4e-08 4.62 31 1.1e-04 5.3e-02 7.1e-03 1.01e+00 1.669103029e+02 1.671811168e+02 5.8e-08 4.97 32 1.0e-04 4.9e-02 6.4e-03 1.01e+00 1.669292569e+02 1.671729329e+02 5.2e-08 5.02 33 9.2e-05 4.5e-02 5.8e-03 1.01e+00 1.669462529e+02 1.671655141e+02 4.7e-08 5.21 34 8.3e-05 4.1e-02 5.2e-03 1.01e+00 1.669614991e+02 1.671587951e+02 4.2e-08 5.51 35 7.5e-05 3.8e-02 4.7e-03 1.01e+00 1.669751779e+02 1.671527120e+02 3.8e-08 5.77 36 6.7e-05 3.5e-02 4.2e-03 1.00e+00 1.669874526e+02 1.671472067e+02 3.4e-08 6.07 37 6.0e-05 3.2e-02 3.8e-03 1.00e+00 1.669984691e+02 1.671422261e+02 3.1e-08 6.25 38 5.4e-05 3.0e-02 3.4e-03 1.00e+00 1.670083578e+02 1.671377212e+02 2.8e-08 6.42 39 4.9e-05 2.7e-02 3.1e-03 1.00e+00 1.670172353e+02 1.671336478e+02 2.5e-08 6.44 40 4.4e-05 2.5e-02 2.8e-03 1.00e+00 1.670252062e+02 1.671299656e+02 2.2e-08 6.53 41 4.0e-05 2.4e-02 2.5e-03 1.00e+00 1.670323639e+02 1.671266376e+02 2.0e-08 6.85 42 3.6e-05 2.2e-02 2.2e-03 1.00e+00 1.670387921e+02 1.671236306e+02 1.8e-08 7.00 43 3.2e-05 2.1e-02 2.0e-03 1.00e+00 1.670445658e+02 1.671209141e+02 1.6e-08 7.26 44 2.9e-05 1.9e-02 1.8e-03 1.00e+00 1.670497522e+02 1.671184605e+02 1.5e-08 7.59 45 2.6e-05 1.8e-02 1.6e-03 1.00e+00 1.670544116e+02 1.671162448e+02 1.3e-08 7.65 46 2.3e-05 1.7e-02 1.5e-03 1.00e+00 1.670585979e+02 1.671142444e+02 1.2e-08 7.90 47 2.1e-05 1.6e-02 1.3e-03 1.00e+00 1.670623595e+02 1.671124386e+02 1.1e-08 8.27 48 1.9e-05 1.6e-02 1.2e-03 1.00e+00 1.670657398e+02 1.671108088e+02 9.7e-09 8.54 49 1.7e-05 1.5e-02 1.1e-03 1.00e+00 1.670687778e+02 1.671093381e+02 8.7e-09 8.73 50 1.5e-05 1.4e-02 9.6e-04 1.00e+00 1.670715082e+02 1.671080111e+02 7.8e-09 9.15 51 1.4e-05 1.3e-02 8.7e-04 1.00e+00 1.670739625e+02 1.671068139e+02 7.1e-09 9.30 52 1.2e-05 1.3e-02 7.8e-04 1.00e+00 1.670761687e+02 1.671057341e+02 6.4e-09 9.42 53 1.1e-05 1.2e-02 7.0e-04 1.00e+00 1.670781521e+02 1.671047602e+02 5.7e-09 9.66 54 1.0e-05 1.2e-02 6.3e-04 1.00e+00 1.670799354e+02 1.671038821e+02 5.1e-09 9.93 55 9.1e-06 1.2e-02 5.7e-04 1.00e+00 1.670815387e+02 1.671030903e+02 4.6e-09 10.04 56 8.2e-06 1.1e-02 5.1e-04 1.00e+00 1.670829805e+02 1.671023765e+02 4.2e-09 10.23 57 7.3e-06 1.1e-02 4.6e-04 1.00e+00 1.670842770e+02 1.671017332e+02 3.8e-09 10.54 58 6.6e-06 1.1e-02 4.1e-04 1.00e+00 1.670854429e+02 1.671011533e+02 3.4e-09 10.84 59 5.9e-06 1.0e-02 3.7e-04 1.00e+00 1.670864916e+02 1.671006308e+02 3.0e-09 10.98 60 5.4e-06 1.0e-02 3.4e-04 1.00e+00 1.670874347e+02 1.671001599e+02 2.7e-09 11.08 61 2.0e-06 3.9e-03 1.3e-04 1.00e+00 1.670926497e+02 1.670975274e+02 1.0e-09 11.54 62 8.2e-07 1.6e-03 5.2e-05 1.00e+00 1.670945818e+02 1.670965502e+02 4.2e-10 11.77 63 7.4e-07 1.4e-03 4.7e-05 1.00e+00 1.670947161e+02 1.670964877e+02 3.8e-10 12.02 64 4.5e-07 8.4e-04 2.8e-05 1.00e+00 1.670951813e+02 1.670962474e+02 2.3e-10 12.17 65 4.0e-07 7.6e-04 2.5e-05 1.00e+00 1.670952527e+02 1.670962121e+02 2.1e-10 12.44 66 3.6e-07 6.8e-04 2.3e-05 1.00e+00 1.670953161e+02 1.670961796e+02 1.9e-10 12.67 67 3.3e-07 6.1e-04 2.1e-05 9.98e-01 1.670953730e+02 1.670961503e+02 1.7e-10 12.90 68 2.9e-07 5.5e-04 1.8e-05 1.00e+00 1.670954243e+02 1.670961238e+02 1.5e-10 13.12 69 2.6e-07 5.0e-04 1.7e-05 1.00e+00 1.670954704e+02 1.670961000e+02 1.4e-10 13.23 70 2.4e-07 4.5e-04 1.5e-05 1.00e+00 1.670955119e+02 1.670960784e+02 1.2e-10 13.29 71 2.1e-07 4.0e-04 1.3e-05 1.00e+00 1.670955492e+02 1.670960591e+02 1.1e-10 13.58 72 1.9e-07 3.6e-04 1.2e-05 9.99e-01 1.670955828e+02 1.670960417e+02 9.9e-11 13.92 73 1.7e-07 3.3e-04 1.1e-05 1.00e+00 1.670956130e+02 1.670960260e+02 8.9e-11 14.08 74 1.6e-07 2.9e-04 9.8e-06 1.00e+00 1.670956402e+02 1.670960119e+02 8.0e-11 14.28 75 1.4e-07 2.6e-04 8.8e-06 1.01e+00 1.670956650e+02 1.670959990e+02 7.2e-11 14.55 76 1.3e-07 2.4e-04 8.0e-06 1.00e+00 1.670956870e+02 1.670959876e+02 6.5e-11 14.72 77 1.1e-07 2.1e-04 7.2e-06 9.93e-01 1.670957068e+02 1.670959774e+02 5.8e-11 14.96 78 1.0e-07 1.9e-04 6.4e-06 9.99e-01 1.670957246e+02 1.670959682e+02 5.3e-11 15.16 79 9.2e-08 1.7e-04 5.8e-06 1.00e+00 1.670957406e+02 1.670959598e+02 4.7e-11 15.22 80 8.3e-08 1.6e-04 5.2e-06 1.00e+00 1.670957552e+02 1.670959522e+02 4.3e-11 15.39 81 7.4e-08 1.4e-04 4.7e-06 9.99e-01 1.670957681e+02 1.670959455e+02 3.8e-11 15.42 82 6.7e-08 1.3e-04 4.2e-06 1.01e+00 1.670957800e+02 1.670959393e+02 3.5e-11 15.44 83 6.0e-08 1.1e-04 3.8e-06 1.00e+00 1.670957905e+02 1.670959339e+02 3.1e-11 15.45 84 5.4e-08 1.0e-04 3.4e-06 9.98e-01 1.670957999e+02 1.670959290e+02 2.8e-11 15.49 85 4.9e-08 9.2e-05 3.1e-06 1.01e+00 1.670958086e+02 1.670959245e+02 2.5e-11 15.69 86 4.4e-08 8.3e-05 2.8e-06 9.88e-01 1.670958162e+02 1.670959205e+02 2.3e-11 15.85 87 4.0e-08 7.5e-05 2.5e-06 1.01e+00 1.670958232e+02 1.670959169e+02 2.1e-11 16.19 88 3.6e-08 6.7e-05 2.2e-06 9.80e-01 1.670958294e+02 1.670959137e+02 1.8e-11 16.39 89 3.2e-08 6.1e-05 2.0e-06 1.02e+00 1.670958354e+02 1.670959105e+02 1.7e-11 16.57 90 2.9e-08 5.4e-05 1.8e-06 9.85e-01 1.670958403e+02 1.670959080e+02 1.5e-11 16.80 91 2.6e-08 4.9e-05 1.6e-06 1.01e+00 1.670958449e+02 1.670959056e+02 1.4e-11 17.05 92 2.3e-08 4.4e-05 1.5e-06 1.01e+00 1.670958490e+02 1.670959035e+02 1.2e-11 17.34 93 2.1e-08 4.0e-05 1.3e-06 9.68e-01 1.670958525e+02 1.670959017e+02 1.1e-11 17.56 94 1.9e-08 3.6e-05 1.2e-06 1.01e+00 1.670958559e+02 1.670958999e+02 1.0e-11 17.66 95 1.7e-08 3.2e-05 1.1e-06 9.58e-01 1.670958588e+02 1.670958985e+02 9.0e-12 17.68 96 1.5e-08 2.9e-05 9.7e-07 9.71e-01 1.670958614e+02 1.670958971e+02 8.1e-12 17.73 Interior-point optimizer terminated. Time: 17.73. Optimizer terminated. Time: 17.75 solsta = 1, prosta = 1 Interior-point solution summary Problem status : PRIMAL_AND_DUAL_FEASIBLE Solution status : OPTIMAL Primal. obj: 1.6709586140e+02 Viol. con: 2e-07 var: 0e+00 Dual. obj: 1.6709589713e+02 Viol. con: 0e+00 var: 2e-04 * End solution on dual form. * Transforming to primal solution. Solving took 17.8 seconds. Using solver 'mosek' Solving for 1768 variables. Number of Hessian non-zeros: 2054 * Solving exponential optimization problem on dual form. * * The following log information refers to the solution of the dual problem. * Computer Platform : MACOSX/64-X86 Cores : 4 Problem Name : Objective sense : max Type : GECO (general convex optimization problem) Constraints : 1769 Cones : 0 Scalar variables : 6131 Matrix variables : 0 Integer variables : 0 Optimizer started. Interior-point optimizer started. Presolve started. Linear dependency checker started. Linear dependency checker terminated. Eliminator started. Total number of eliminations : 933 Eliminator terminated. Eliminator started. Total number of eliminations : 943 Eliminator terminated. Eliminator - tries : 2 time : 0.00 Eliminator - elim's : 943 Lin. dep. - tries : 1 time : 0.00 Lin. dep. - number : 0 Presolve terminated. Time: 0.01 Matrix reordering started. Local matrix reordering started. Local matrix reordering terminated. Matrix reordering terminated. Optimizer - threads : 4 Optimizer - solved problem : the primal Optimizer - Constraints : 777 Optimizer - Cones : 0 Optimizer - Scalar variables : 3454 conic : 0 Optimizer - Semi-definite variables: 0 scalarized : 0 Factor - setup time : 0.03 dense det. time : 0.00 Factor - ML order time : 0.00 GP order time : 0.02 Factor - nonzeros before factor : 1.64e+04 after factor : 1.50e+05 Factor - dense dim. : 0 flops : 0.00e+00 Factor - GP saved nzs : 0 GP saved flops : 0.00e+00 ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME 0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.287223707e+05 2.000000000e+00 1.0e+00 0.05 1 1.1e+03 1.4e+03 6.2e+04 -9.71e-01 -1.265745932e+05 3.573317321e+00 4.8e-01 0.51 2 4.3e+02 5.6e+02 2.4e+04 -9.37e-01 -1.205266039e+05 1.002388069e+01 1.9e-01 0.72 3 2.9e+02 3.7e+02 1.6e+04 -8.42e-01 -1.157999158e+05 6.118611515e+01 1.3e-01 0.95 4 2.9e+02 3.7e+02 1.6e+04 -7.61e-01 -1.131568669e+05 2.298843536e+03 1.3e-01 1.01 5 7.4e+01 9.6e+01 4.1e+03 -7.54e-01 -7.427117550e+04 1.000770363e+04 3.3e-02 1.03 6 3.6e+01 4.7e+01 2.0e+03 -1.87e-01 -4.714061926e+04 1.036919075e+04 1.6e-02 1.05 7 2.2e+01 2.9e+01 1.2e+03 2.79e-01 -3.264249510e+04 7.165527159e+03 9.8e-03 1.06 8 1.3e+01 1.7e+01 7.5e+02 5.38e-01 -2.123251670e+04 4.817402606e+03 5.9e-03 1.08 9 5.2e+00 6.8e+00 2.9e+02 7.25e-01 -8.608880671e+03 2.403433268e+03 2.3e-03 1.09 10 2.4e+00 3.1e+00 1.3e+02 9.15e-01 -3.702530231e+03 1.407876311e+03 1.1e-03 1.13 11 1.7e+00 2.2e+00 9.6e+01 9.76e-01 -2.640525371e+03 1.068040625e+03 7.7e-04 1.47 12 8.3e-01 1.1e+00 4.7e+01 9.83e-01 -1.192523785e+03 6.082813777e+02 3.7e-04 1.68 13 7.5e-01 1.1e+00 4.2e+01 9.49e-01 -1.099906295e+03 5.664570970e+02 3.4e-04 1.82 14 6.1e-01 9.0e-01 3.4e+01 9.87e-01 -8.367774945e+02 5.022535940e+02 2.7e-04 1.87 15 1.8e-01 2.9e-01 1.0e+01 9.89e-01 -1.546878501e+02 2.532177126e+02 8.3e-05 1.98 16 1.0e-01 1.9e-01 6.0e+00 1.01e+00 -2.103444533e+01 2.119245349e+02 4.8e-05 2.10 17 1.0e-01 1.8e-01 5.9e+00 1.02e+00 -1.941538004e+01 2.121451515e+02 4.8e-05 2.21 18 8.8e-02 1.6e-01 5.1e+00 1.02e+00 1.322109187e+01 2.124335641e+02 4.1e-05 2.32 19 3.5e-02 9.9e-02 2.0e+00 1.01e+00 1.052500238e+02 1.836770670e+02 1.6e-05 2.59 20 1.0e-02 1.8e-01 6.0e-01 1.01e+00 1.495200221e+02 1.727016472e+02 4.9e-06 2.73 21 3.2e-03 1.8e-01 1.9e-01 1.01e+00 1.611600551e+02 1.684674457e+02 1.5e-06 2.84 22 1.2e-03 1.2e-01 7.6e-02 1.01e+00 1.645373982e+02 1.674168285e+02 6.2e-07 2.95 23 6.1e-04 8.4e-02 3.8e-02 1.00e+00 1.655940205e+02 1.670420307e+02 3.1e-07 3.01 24 2.4e-04 8.6e-02 1.5e-02 1.01e+00 1.662269434e+02 1.668061761e+02 1.3e-07 3.13 25 2.2e-04 7.9e-02 1.4e-02 1.01e+00 1.662726770e+02 1.667938413e+02 1.1e-07 3.23 26 2.0e-04 7.2e-02 1.2e-02 1.01e+00 1.663096973e+02 1.667786088e+02 1.0e-07 3.33 27 1.8e-04 6.6e-02 1.1e-02 1.01e+00 1.663431640e+02 1.667650721e+02 9.2e-08 3.63 28 1.6e-04 6.0e-02 1.0e-02 1.01e+00 1.663731589e+02 1.667527852e+02 8.3e-08 3.76 29 1.4e-04 5.5e-02 9.0e-03 1.01e+00 1.664000932e+02 1.667416828e+02 7.5e-08 3.89 30 1.3e-04 5.0e-02 8.1e-03 1.01e+00 1.664242735e+02 1.667316441e+02 6.7e-08 4.10 31 1.2e-04 4.6e-02 7.3e-03 1.01e+00 1.664459840e+02 1.667225691e+02 6.1e-08 4.24 32 1.0e-04 4.2e-02 6.6e-03 1.00e+00 1.664654780e+02 1.667143656e+02 5.4e-08 4.36 33 9.4e-05 3.9e-02 5.9e-03 1.00e+00 1.664829828e+02 1.667069504e+02 4.9e-08 4.47 34 8.4e-05 3.6e-02 5.3e-03 1.00e+00 1.664987022e+02 1.667002480e+02 4.4e-08 4.60 35 7.6e-05 3.3e-02 4.8e-03 1.00e+00 1.665128189e+02 1.666941902e+02 4.0e-08 4.73 36 6.8e-05 3.0e-02 4.3e-03 1.00e+00 1.665254968e+02 1.666887151e+02 3.6e-08 4.89 37 6.2e-05 2.8e-02 3.9e-03 1.00e+00 1.665368832e+02 1.666837671e+02 3.2e-08 5.00 38 5.5e-05 2.6e-02 3.5e-03 1.00e+00 1.665471100e+02 1.666792955e+02 2.9e-08 5.11 39 5.0e-05 2.4e-02 3.2e-03 1.00e+00 1.665562957e+02 1.666752548e+02 2.6e-08 5.36 40 4.5e-05 2.3e-02 2.8e-03 1.00e+00 1.665645468e+02 1.666716038e+02 2.3e-08 5.48 41 4.0e-05 2.1e-02 2.6e-03 1.00e+00 1.665719586e+02 1.666683052e+02 2.1e-08 5.50 42 3.6e-05 2.0e-02 2.3e-03 1.00e+00 1.665786170e+02 1.666653252e+02 1.9e-08 5.53 43 3.3e-05 1.9e-02 2.1e-03 1.00e+00 1.665845989e+02 1.666626333e+02 1.7e-08 5.57 44 2.9e-05 1.8e-02 1.9e-03 1.00e+00 1.665899732e+02 1.666602020e+02 1.5e-08 5.59 45 2.6e-05 1.7e-02 1.7e-03 1.00e+00 1.665948020e+02 1.666580062e+02 1.4e-08 5.64 46 2.4e-05 1.6e-02 1.5e-03 1.00e+00 1.665991409e+02 1.666560234e+02 1.2e-08 5.88 47 2.1e-05 1.5e-02 1.4e-03 1.00e+00 1.666030398e+02 1.666542332e+02 1.1e-08 6.03 48 1.9e-05 1.4e-02 1.2e-03 1.00e+00 1.666065436e+02 1.666526170e+02 1.0e-08 6.26 49 1.7e-05 1.4e-02 1.1e-03 1.00e+00 1.666096926e+02 1.666511580e+02 9.1e-09 6.40 50 1.6e-05 1.3e-02 9.9e-04 1.00e+00 1.666125227e+02 1.666498413e+02 8.2e-09 6.52 51 1.4e-05 1.3e-02 8.9e-04 1.00e+00 1.666150665e+02 1.666486530e+02 7.4e-09 6.63 52 1.3e-05 1.2e-02 8.0e-04 1.00e+00 1.666173531e+02 1.666475808e+02 6.6e-09 6.87 53 1.1e-05 1.2e-02 7.2e-04 1.00e+00 1.666194086e+02 1.666466135e+02 6.0e-09 7.16 54 1.0e-05 1.1e-02 6.5e-04 1.00e+00 1.666212564e+02 1.666457408e+02 5.4e-09 7.41 55 9.2e-06 1.1e-02 5.8e-04 1.00e+00 1.666229177e+02 1.666449536e+02 4.8e-09 7.66 56 8.3e-06 1.1e-02 5.3e-04 1.00e+00 1.666244113e+02 1.666442437e+02 4.4e-09 7.75 57 7.5e-06 1.1e-02 4.7e-04 1.00e+00 1.666257542e+02 1.666436034e+02 3.9e-09 7.78 58 6.7e-06 1.0e-02 4.3e-04 1.00e+00 1.666269617e+02 1.666430260e+02 3.5e-09 7.81 59 6.1e-06 1.0e-02 3.8e-04 1.00e+00 1.666280475e+02 1.666425054e+02 3.2e-09 7.83 60 5.5e-06 9.9e-03 3.5e-04 1.00e+00 1.666290238e+02 1.666420360e+02 2.9e-09 7.86 61 4.9e-06 9.7e-03 3.1e-04 1.00e+00 1.666299017e+02 1.666416128e+02 2.6e-09 8.19 62 4.4e-06 9.5e-03 2.8e-04 1.00e+00 1.666306911e+02 1.666412312e+02 2.3e-09 8.43 63 4.0e-06 9.4e-03 2.5e-04 1.00e+00 1.666314011e+02 1.666408872e+02 2.1e-09 8.56 64 3.6e-06 9.3e-03 2.3e-04 1.00e+00 1.666320394e+02 1.666405770e+02 1.9e-09 8.81 65 3.2e-06 9.2e-03 2.0e-04 1.00e+00 1.666326134e+02 1.666402973e+02 1.7e-09 9.07 66 2.9e-06 9.1e-03 1.8e-04 1.00e+00 1.666331296e+02 1.666400451e+02 1.5e-09 9.31 67 2.6e-06 9.0e-03 1.7e-04 1.00e+00 1.666335937e+02 1.666398177e+02 1.4e-09 9.56 68 2.3e-06 8.9e-03 1.5e-04 1.00e+00 1.666340112e+02 1.666396128e+02 1.2e-09 9.81 69 2.1e-06 8.8e-03 1.3e-04 1.00e+00 1.666343867e+02 1.666394281e+02 1.1e-09 9.96 70 1.9e-06 8.7e-03 1.2e-04 1.00e+00 1.666347244e+02 1.666392617e+02 1.0e-09 10.03 71 1.7e-06 8.6e-03 1.1e-04 1.00e+00 1.666350281e+02 1.666391118e+02 9.0e-10 10.13 72 1.5e-06 8.6e-03 9.8e-05 1.00e+00 1.666353013e+02 1.666389767e+02 8.1e-10 10.45 73 1.4e-06 8.5e-03 8.8e-05 1.00e+00 1.666355471e+02 1.666388549e+02 7.3e-10 10.80 74 1.2e-06 8.5e-03 7.9e-05 1.00e+00 1.666357681e+02 1.666387452e+02 6.5e-10 11.05 75 1.1e-06 8.4e-03 7.1e-05 1.00e+00 1.666359669e+02 1.666386463e+02 5.9e-10 11.18 76 1.0e-06 8.4e-03 6.4e-05 1.00e+00 1.666361457e+02 1.666385571e+02 5.3e-10 11.31 77 9.1e-07 8.3e-03 5.8e-05 1.00e+00 1.666363066e+02 1.666384768e+02 4.8e-10 11.43 78 8.2e-07 8.3e-03 5.2e-05 1.00e+00 1.666364512e+02 1.666384045e+02 4.3e-10 11.59 79 7.4e-07 8.3e-03 4.7e-05 1.00e+00 1.666365813e+02 1.666383392e+02 3.9e-10 11.94 80 6.6e-07 8.2e-03 4.2e-05 9.99e-01 1.666366983e+02 1.666382805e+02 3.5e-10 12.07 81 6.0e-07 8.2e-03 3.8e-05 1.00e+00 1.666368034e+02 1.666382275e+02 3.1e-10 12.24 82 5.4e-07 8.2e-03 3.4e-05 9.99e-01 1.666368980e+02 1.666381798e+02 2.8e-10 12.28 83 4.8e-07 8.1e-03 3.1e-05 1.00e+00 1.666369831e+02 1.666381367e+02 2.5e-10 12.30 84 4.3e-07 8.1e-03 2.8e-05 1.00e+00 1.666370596e+02 1.666380978e+02 2.3e-10 12.32 85 3.9e-07 8.1e-03 2.5e-05 1.00e+00 1.666371283e+02 1.666380628e+02 2.1e-10 12.34 86 3.5e-07 8.1e-03 2.2e-05 1.00e+00 1.666371902e+02 1.666380312e+02 1.8e-10 12.35 87 3.2e-07 8.0e-03 2.0e-05 1.00e+00 1.666372458e+02 1.666380027e+02 1.7e-10 12.39 88 2.9e-07 8.0e-03 1.8e-05 1.00e+00 1.666372959e+02 1.666379770e+02 1.5e-10 12.60 89 2.6e-07 8.0e-03 1.6e-05 9.98e-01 1.666373409e+02 1.666379540e+02 1.3e-10 12.83 90 2.3e-07 8.0e-03 1.5e-05 9.99e-01 1.666373814e+02 1.666379332e+02 1.2e-10 13.08 91 2.1e-07 7.9e-03 1.3e-05 1.00e+00 1.666374178e+02 1.666379144e+02 1.1e-10 13.22 92 1.9e-07 7.9e-03 1.2e-05 1.00e+00 1.666374506e+02 1.666378975e+02 9.8e-11 13.43 93 1.7e-07 7.9e-03 1.1e-05 9.97e-01 1.666374800e+02 1.666378823e+02 8.8e-11 13.60 94 1.5e-07 7.9e-03 9.6e-06 1.00e+00 1.666375065e+02 1.666378686e+02 8.0e-11 13.86 95 1.4e-07 7.9e-03 8.6e-06 1.00e+00 1.666375304e+02 1.666378563e+02 7.2e-11 13.97 96 1.2e-07 7.8e-03 7.8e-06 1.00e+00 1.666375519e+02 1.666378452e+02 6.5e-11 14.20 97 1.1e-07 7.8e-03 7.0e-06 1.00e+00 1.666375712e+02 1.666378352e+02 5.8e-11 14.32 98 9.9e-08 7.8e-03 6.3e-06 9.97e-01 1.666375886e+02 1.666378262e+02 5.2e-11 14.53 99 9.0e-08 7.8e-03 5.7e-06 1.00e+00 1.666376043e+02 1.666378181e+02 4.7e-11 14.55 100 8.1e-08 7.7e-03 5.1e-06 9.90e-01 1.666376183e+02 1.666378109e+02 4.2e-11 14.58 101 7.3e-08 7.0e-03 4.6e-06 1.00e+00 1.666376311e+02 1.666378042e+02 3.8e-11 14.60 102 6.5e-08 6.3e-03 4.1e-06 1.00e+00 1.666376426e+02 1.666377982e+02 3.4e-11 14.65 103 5.9e-08 5.6e-03 3.7e-06 9.99e-01 1.666376528e+02 1.666377929e+02 3.1e-11 14.68 104 5.3e-08 5.1e-03 3.4e-06 1.01e+00 1.666376622e+02 1.666377880e+02 2.8e-11 14.97 105 4.8e-08 4.6e-03 3.0e-06 9.90e-01 1.666376705e+02 1.666377838e+02 2.5e-11 15.10 106 4.3e-08 4.1e-03 2.7e-06 1.01e+00 1.666376783e+02 1.666377797e+02 2.3e-11 15.31 107 3.9e-08 3.7e-03 2.4e-06 9.99e-01 1.666376850e+02 1.666377762e+02 2.0e-11 15.49 108 3.5e-08 3.3e-03 2.2e-06 9.97e-01 1.666376910e+02 1.666377731e+02 1.8e-11 15.61 109 3.1e-08 3.0e-03 2.0e-06 1.03e+00 1.666376970e+02 1.666377699e+02 1.7e-11 15.74 110 2.8e-08 2.7e-03 1.8e-06 9.95e-01 1.666377018e+02 1.666377675e+02 1.5e-11 16.01 111 2.5e-08 2.4e-03 1.6e-06 9.94e-01 1.666377061e+02 1.666377652e+02 1.4e-11 16.12 112 2.3e-08 2.2e-03 1.4e-06 9.96e-01 1.666377100e+02 1.666377632e+02 1.2e-11 16.34 113 2.1e-08 2.0e-03 1.3e-06 9.95e-01 1.666377135e+02 1.666377614e+02 1.1e-11 16.61 114 1.8e-08 1.8e-03 1.2e-06 9.91e-01 1.666377167e+02 1.666377598e+02 9.9e-12 16.76 115 1.7e-08 1.6e-03 1.1e-06 9.98e-01 1.666377195e+02 1.666377583e+02 8.9e-12 16.79 116 1.5e-08 1.4e-03 9.5e-07 1.00e+00 1.666377220e+02 1.666377570e+02 8.0e-12 16.93 117 1.4e-08 1.3e-03 8.5e-07 1.02e+00 1.666377246e+02 1.666377557e+02 7.3e-12 17.27 118 1.2e-08 1.2e-03 7.7e-07 1.02e+00 1.666377268e+02 1.666377545e+02 6.6e-12 17.50 119 1.1e-08 1.0e-03 6.9e-07 1.03e+00 1.666377289e+02 1.666377534e+02 6.0e-12 17.61 120 9.9e-09 9.4e-04 6.2e-07 9.44e-01 1.666377305e+02 1.666377526e+02 5.4e-12 17.74 121 8.9e-09 8.5e-04 5.6e-07 9.68e-01 1.666377319e+02 1.666377519e+02 4.9e-12 18.00 122 8.0e-09 7.6e-04 5.0e-07 9.58e-01 1.666377332e+02 1.666377512e+02 4.4e-12 18.12 123 7.2e-09 6.9e-04 4.5e-07 9.67e-01 1.666377344e+02 1.666377506e+02 4.0e-12 18.27 124 6.5e-09 6.2e-04 4.1e-07 9.68e-01 1.666377355e+02 1.666377501e+02 3.6e-12 18.51 125 5.8e-09 5.6e-04 3.7e-07 1.02e+00 1.666377365e+02 1.666377495e+02 3.2e-12 18.74 126 5.3e-09 5.0e-04 3.3e-07 9.69e-01 1.666377374e+02 1.666377491e+02 2.9e-12 18.79 127 4.8e-09 4.5e-04 3.0e-07 1.04e+00 1.666377383e+02 1.666377486e+02 2.7e-12 19.03 128 3.3e-09 2.6e-05 1.7e-08 9.06e-01 1.666377448e+02 1.666377454e+02 2.6e-13 19.06 Interior-point optimizer terminated. Time: 19.07. Optimizer terminated. Time: 19.07 solsta = 1, prosta = 1 Interior-point solution summary Problem status : PRIMAL_AND_DUAL_FEASIBLE Solution status : OPTIMAL Primal. obj: 1.6663774482e+02 Viol. con: 8e-08 var: 0e+00 Dual. obj: 1.6663774544e+02 Viol. con: 0e+00 var: 2e-04 * End solution on dual form. * Transforming to primal solution. Solving took 19.1 seconds. Using solver 'mosek' Solving for 1768 variables. Number of Hessian non-zeros: 2054 * Solving exponential optimization problem on dual form. * * The following log information refers to the solution of the dual problem. * Computer Platform : MACOSX/64-X86 Cores : 4 Problem Name : Objective sense : max Type : GECO (general convex optimization problem) Constraints : 1769 Cones : 0 Scalar variables : 6131 Matrix variables : 0 Integer variables : 0 Optimizer started. Interior-point optimizer started. Presolve started. Linear dependency checker started. Linear dependency checker terminated. Eliminator started. Total number of eliminations : 933 Eliminator terminated. Eliminator started. Total number of eliminations : 943 Eliminator terminated. Eliminator - tries : 2 time : 0.00 Eliminator - elim's : 943 Lin. dep. - tries : 1 time : 0.00 Lin. dep. - number : 0 Presolve terminated. Time: 0.01 Matrix reordering started. Local matrix reordering started. Local matrix reordering terminated. Matrix reordering terminated. Optimizer - threads : 4 Optimizer - solved problem : the primal Optimizer - Constraints : 777 Optimizer - Cones : 0 Optimizer - Scalar variables : 3454 conic : 0 Optimizer - Semi-definite variables: 0 scalarized : 0 Factor - setup time : 0.02 dense det. time : 0.00 Factor - ML order time : 0.00 GP order time : 0.02 Factor - nonzeros before factor : 1.64e+04 after factor : 1.50e+05 Factor - dense dim. : 0 flops : 0.00e+00 Factor - GP saved nzs : 0 GP saved flops : 0.00e+00 ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME 0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.286831198e+05 2.000000000e+00 1.0e+00 0.04 1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.265334263e+05 3.567088653e+00 4.8e-01 0.41 2 4.3e+02 5.5e+02 2.4e+04 -9.37e-01 -1.203833964e+05 1.011404938e+01 1.9e-01 0.65 3 2.9e+02 3.7e+02 1.6e+04 -8.40e-01 -1.157187275e+05 6.273736649e+01 1.3e-01 0.80 4 2.9e+02 3.7e+02 1.6e+04 -7.61e-01 -1.130228180e+05 2.338221078e+03 1.3e-01 0.93 5 7.3e+01 9.4e+01 4.1e+03 -7.53e-01 -7.357936644e+04 1.002317875e+04 3.2e-02 1.06 6 3.6e+01 4.6e+01 2.0e+03 -1.77e-01 -4.627008060e+04 1.019621916e+04 1.6e-02 1.25 7 2.1e+01 2.7e+01 1.2e+03 2.94e-01 -3.070494622e+04 6.914883065e+03 9.1e-03 1.41 8 1.2e+01 1.6e+01 6.7e+02 5.70e-01 -1.915340255e+04 4.482148106e+03 5.3e-03 1.45 9 4.6e+00 6.0e+00 2.6e+02 7.58e-01 -7.553466033e+03 2.153728155e+03 2.0e-03 1.48 10 2.2e+00 2.9e+00 1.2e+02 9.29e-01 -3.373461820e+03 1.376802374e+03 9.8e-04 2.04 11 1.5e+00 1.9e+00 8.3e+01 9.78e-01 -2.235737803e+03 9.646763491e+02 6.6e-04 2.20 12 8.6e-01 1.1e+00 4.8e+01 9.85e-01 -1.232394278e+03 6.312352403e+02 3.8e-04 2.32 13 7.4e-01 1.0e+00 4.2e+01 9.55e-01 -1.072947400e+03 5.641434188e+02 3.3e-04 2.52 14 5.4e-01 7.4e-01 3.1e+01 9.87e-01 -7.296452184e+02 4.692356983e+02 2.4e-04 2.67 15 1.7e-01 2.5e-01 9.5e+00 9.92e-01 -1.273625590e+02 2.445750754e+02 7.6e-05 2.80 16 9.5e-02 1.6e-01 5.5e+00 1.01e+00 -7.084122347e+00 2.069367680e+02 4.4e-05 2.95 17 9.5e-02 1.5e-01 5.4e+00 1.02e+00 -5.471878915e+00 2.070291258e+02 4.4e-05 3.19 18 8.5e-02 1.4e-01 4.9e+00 1.02e+00 1.652751095e+01 2.075261660e+02 4.0e-05 3.44 19 4.8e-02 8.5e-02 2.8e+00 1.02e+00 8.250516979e+01 1.894235535e+02 2.2e-05 3.57 20 1.7e-02 8.5e-02 9.7e-01 1.02e+00 1.380117046e+02 1.751272840e+02 7.8e-06 3.66 21 4.4e-03 2.2e-01 2.6e-01 1.01e+00 1.592041943e+02 1.692781716e+02 2.1e-06 3.68 22 3.1e-03 2.4e-01 1.9e-01 1.00e+00 1.612881262e+02 1.684035474e+02 1.5e-06 3.71 23 1.1e-03 1.4e-01 7.0e-02 1.00e+00 1.646186566e+02 1.672796774e+02 5.6e-07 3.85 24 8.8e-04 1.1e-01 5.3e-02 9.94e-01 1.650702457e+02 1.671014709e+02 4.3e-07 4.20 25 3.7e-04 8.4e-02 2.3e-02 9.84e-01 1.659153315e+02 1.667827928e+02 1.9e-07 4.32 26 2.0e-04 6.9e-02 1.3e-02 1.01e+00 1.661933278e+02 1.666719231e+02 1.0e-07 4.61 27 1.5e-04 6.4e-02 9.6e-03 1.01e+00 1.662781571e+02 1.666422097e+02 7.9e-08 4.71 28 1.4e-04 5.8e-02 8.6e-03 1.01e+00 1.663050762e+02 1.666325459e+02 7.1e-08 4.92 29 1.2e-04 5.3e-02 7.8e-03 1.01e+00 1.663278679e+02 1.666225226e+02 6.4e-08 5.08 30 1.1e-04 4.8e-02 7.0e-03 1.01e+00 1.663485670e+02 1.666137067e+02 5.7e-08 5.29 31 1.0e-04 4.4e-02 6.3e-03 1.01e+00 1.663671037e+02 1.666056891e+02 5.2e-08 5.47 32 9.1e-05 4.1e-02 5.7e-03 1.01e+00 1.663837451e+02 1.665984393e+02 4.6e-08 5.57 33 8.2e-05 3.7e-02 5.1e-03 1.00e+00 1.663986783e+02 1.665918769e+02 4.2e-08 5.72 34 7.4e-05 3.4e-02 4.6e-03 1.00e+00 1.664120816e+02 1.665859393e+02 3.8e-08 5.91 35 6.6e-05 3.1e-02 4.1e-03 1.00e+00 1.664241126e+02 1.665805679e+02 3.4e-08 5.94 36 6.0e-05 2.9e-02 3.7e-03 1.00e+00 1.664349132e+02 1.665757098e+02 3.1e-08 6.01 37 5.4e-05 2.7e-02 3.3e-03 1.00e+00 1.664446103e+02 1.665713168e+02 2.7e-08 6.19 38 4.8e-05 2.5e-02 3.0e-03 1.00e+00 1.664533175e+02 1.665673453e+02 2.5e-08 6.29 39 4.3e-05 2.3e-02 2.7e-03 1.00e+00 1.664611368e+02 1.665637555e+02 2.2e-08 6.57 40 3.9e-05 2.2e-02 2.4e-03 1.00e+00 1.664681594e+02 1.665605113e+02 2.0e-08 7.08 41 3.5e-05 2.0e-02 2.2e-03 1.00e+00 1.664744670e+02 1.665575800e+02 1.8e-08 7.33 42 3.2e-05 1.9e-02 2.0e-03 1.00e+00 1.664801330e+02 1.665549319e+02 1.6e-08 7.44 43 2.9e-05 1.8e-02 1.8e-03 1.00e+00 1.664852232e+02 1.665525401e+02 1.5e-08 7.45 44 2.6e-05 1.7e-02 1.6e-03 1.00e+00 1.664897966e+02 1.665503802e+02 1.3e-08 7.49 45 2.3e-05 1.6e-02 1.4e-03 1.00e+00 1.664939058e+02 1.665484300e+02 1.2e-08 7.50 46 2.1e-05 1.5e-02 1.3e-03 1.00e+00 1.664975986e+02 1.665466695e+02 1.1e-08 7.54 47 1.9e-05 1.4e-02 1.2e-03 1.00e+00 1.665009173e+02 1.665450806e+02 9.6e-09 7.55 48 1.7e-05 1.4e-02 1.1e-03 1.00e+00 1.665039001e+02 1.665436468e+02 8.6e-09 7.56 49 1.5e-05 1.3e-02 9.5e-04 1.00e+00 1.665065815e+02 1.665423533e+02 7.8e-09 7.58 50 1.4e-05 1.3e-02 8.5e-04 1.00e+00 1.665089920e+02 1.665411866e+02 7.0e-09 7.61 51 1.2e-05 1.2e-02 7.7e-04 1.00e+00 1.665111593e+02 1.665401344e+02 6.3e-09 7.62 52 1.1e-05 1.2e-02 6.9e-04 1.00e+00 1.665131080e+02 1.665391857e+02 5.7e-09 7.64 53 9.9e-06 1.1e-02 6.2e-04 1.00e+00 1.665148605e+02 1.665383306e+02 5.1e-09 7.69 54 8.9e-06 1.1e-02 5.6e-04 1.00e+00 1.665164366e+02 1.665375597e+02 4.6e-09 7.95 55 8.1e-06 1.1e-02 5.0e-04 1.00e+00 1.665178541e+02 1.665368651e+02 4.1e-09 7.96 56 7.2e-06 1.0e-02 4.5e-04 1.00e+00 1.665191291e+02 1.665362392e+02 3.7e-09 7.97 57 6.5e-06 1.0e-02 4.1e-04 1.00e+00 1.665202760e+02 1.665356752e+02 3.3e-09 7.98 58 5.9e-06 1.0e-02 3.7e-04 1.00e+00 1.665213077e+02 1.665351671e+02 3.0e-09 7.99 59 5.3e-06 9.8e-03 3.3e-04 1.00e+00 1.665222357e+02 1.665347093e+02 2.7e-09 8.00 60 4.8e-06 9.6e-03 3.0e-04 1.00e+00 1.665230705e+02 1.665342968e+02 2.4e-09 8.01 61 4.3e-06 9.5e-03 2.7e-04 1.00e+00 1.665238214e+02 1.665339252e+02 2.2e-09 8.07 62 3.9e-06 9.3e-03 2.4e-04 1.00e+00 1.665244968e+02 1.665335904e+02 2.0e-09 8.08 63 3.5e-06 9.2e-03 2.2e-04 1.00e+00 1.665251044e+02 1.665332887e+02 1.8e-09 8.09 64 3.1e-06 9.1e-03 1.9e-04 1.00e+00 1.665256508e+02 1.665330168e+02 1.6e-09 8.32 65 2.8e-06 9.0e-03 1.8e-04 1.00e+00 1.665261423e+02 1.665327718e+02 1.4e-09 8.37 66 2.5e-06 8.9e-03 1.6e-04 1.00e+00 1.665265844e+02 1.665325510e+02 1.3e-09 8.38 67 2.3e-06 8.8e-03 1.4e-04 1.00e+00 1.665269821e+02 1.665323521e+02 1.2e-09 8.39 68 2.0e-06 8.7e-03 1.3e-04 1.00e+00 1.665273399e+02 1.665321729e+02 1.1e-09 8.40 69 1.8e-06 8.6e-03 1.2e-04 1.00e+00 1.665276618e+02 1.665320115e+02 9.5e-10 8.41 70 1.7e-06 8.6e-03 1.0e-04 1.00e+00 1.665279513e+02 1.665318662e+02 8.5e-10 8.42 71 1.5e-06 8.5e-03 9.3e-05 1.00e+00 1.665282118e+02 1.665317352e+02 7.7e-10 8.48 72 1.3e-06 8.5e-03 8.4e-05 1.00e+00 1.665284461e+02 1.665316172e+02 6.9e-10 8.49 73 1.2e-06 8.4e-03 7.5e-05 1.00e+00 1.665286570e+02 1.665315109e+02 6.2e-10 8.50 74 1.1e-06 8.4e-03 6.8e-05 1.00e+00 1.665288466e+02 1.665314152e+02 5.6e-10 8.51 75 9.8e-07 8.3e-03 6.1e-05 1.00e+00 1.665290172e+02 1.665313289e+02 5.0e-10 8.57 76 8.8e-07 8.3e-03 5.5e-05 1.00e+00 1.665291707e+02 1.665312512e+02 4.5e-10 8.58 77 7.9e-07 8.3e-03 5.0e-05 1.00e+00 1.665293087e+02 1.665311811e+02 4.1e-10 8.59 78 7.1e-07 8.2e-03 4.5e-05 1.00e+00 1.665294328e+02 1.665311180e+02 3.7e-10 8.61 79 6.4e-07 8.2e-03 4.0e-05 1.00e+00 1.665295445e+02 1.665310612e+02 3.3e-10 8.81 80 5.8e-07 8.2e-03 3.6e-05 1.00e+00 1.665296449e+02 1.665310099e+02 3.0e-10 8.82 81 5.2e-07 8.1e-03 3.2e-05 9.99e-01 1.665297352e+02 1.665309638e+02 2.7e-10 9.31 82 4.7e-07 8.1e-03 2.9e-05 1.00e+00 1.665298164e+02 1.665309221e+02 2.4e-10 9.49 83 4.2e-07 8.1e-03 2.6e-05 9.99e-01 1.665298894e+02 1.665308846e+02 2.2e-10 9.73 84 3.8e-07 8.0e-03 2.4e-05 9.98e-01 1.665299550e+02 1.665308508e+02 1.9e-10 9.78 85 3.4e-07 8.0e-03 2.1e-05 1.00e+00 1.665300141e+02 1.665308203e+02 1.8e-10 9.88 86 3.1e-07 8.0e-03 1.9e-05 1.00e+00 1.665300672e+02 1.665307927e+02 1.6e-10 10.03 87 2.8e-07 8.0e-03 1.7e-05 1.00e+00 1.665301150e+02 1.665307679e+02 1.4e-10 10.14 88 2.5e-07 8.0e-03 1.6e-05 1.00e+00 1.665301580e+02 1.665307456e+02 1.3e-10 10.24 89 2.2e-07 8.0e-03 1.4e-05 1.00e+00 1.665301966e+02 1.665307254e+02 1.2e-10 10.36 90 2.0e-07 7.9e-03 1.3e-05 1.00e+00 1.665302314e+02 1.665307073e+02 1.0e-10 10.39 91 1.8e-07 7.9e-03 1.1e-05 1.00e+00 1.665302627e+02 1.665306909e+02 9.3e-11 10.41 92 1.6e-07 7.9e-03 1.0e-05 1.00e+00 1.665302908e+02 1.665306762e+02 8.4e-11 10.44 93 1.5e-07 7.9e-03 9.2e-06 1.00e+00 1.665303162e+02 1.665306630e+02 7.5e-11 10.46 94 1.3e-07 7.8e-03 8.3e-06 9.93e-01 1.665303389e+02 1.665306512e+02 6.8e-11 10.49 95 1.2e-07 7.8e-03 7.4e-06 9.89e-01 1.665303594e+02 1.665306406e+02 6.1e-11 10.78 96 1.1e-07 7.8e-03 6.7e-06 9.93e-01 1.665303778e+02 1.665306310e+02 5.5e-11 11.00 97 9.6e-08 7.8e-03 6.0e-06 1.00e+00 1.665303944e+02 1.665306223e+02 5.0e-11 11.13 98 8.7e-08 7.8e-03 5.4e-06 1.00e+00 1.665304094e+02 1.665306144e+02 4.5e-11 11.25 99 7.8e-08 7.8e-03 4.9e-06 1.00e+00 1.665304228e+02 1.665306073e+02 4.0e-11 11.36 100 7.0e-08 7.0e-03 4.4e-06 1.01e+00 1.665304355e+02 1.665306006e+02 3.6e-11 11.41 101 6.3e-08 6.3e-03 4.0e-06 1.00e+00 1.665304464e+02 1.665305948e+02 3.3e-11 11.62 102 5.7e-08 5.7e-03 3.6e-06 1.00e+00 1.665304562e+02 1.665305897e+02 2.9e-11 11.74 103 5.1e-08 5.1e-03 3.2e-06 9.90e-01 1.665304649e+02 1.665305852e+02 2.6e-11 11.94 104 4.6e-08 4.6e-03 2.9e-06 9.84e-01 1.665304728e+02 1.665305811e+02 2.4e-11 12.12 105 4.2e-08 4.1e-03 2.6e-06 9.76e-01 1.665304798e+02 1.665305775e+02 2.1e-11 12.30 106 3.7e-08 3.7e-03 2.3e-06 9.96e-01 1.665304862e+02 1.665305741e+02 1.9e-11 12.63 107 3.4e-08 3.3e-03 2.1e-06 9.93e-01 1.665304920e+02 1.665305711e+02 1.7e-11 12.70 108 3.0e-08 3.0e-03 1.9e-06 1.01e+00 1.665304974e+02 1.665305682e+02 1.6e-11 12.73 109 2.7e-08 2.7e-03 1.7e-06 1.00e+00 1.665305020e+02 1.665305658e+02 1.4e-11 13.16 110 2.5e-08 2.4e-03 1.5e-06 9.87e-01 1.665305062e+02 1.665305636e+02 1.3e-11 13.42 111 2.2e-08 2.2e-03 1.4e-06 1.01e+00 1.665305101e+02 1.665305615e+02 1.2e-11 13.64 112 2.0e-08 2.0e-03 1.2e-06 1.03e+00 1.665305139e+02 1.665305595e+02 1.0e-11 13.76 113 1.8e-08 1.8e-03 1.1e-06 9.74e-01 1.665305168e+02 1.665305579e+02 9.4e-12 13.97 114 1.6e-08 1.6e-03 1.0e-06 9.95e-01 1.665305195e+02 1.665305565e+02 8.5e-12 14.18 115 1.5e-08 1.4e-03 9.0e-07 9.85e-01 1.665305220e+02 1.665305553e+02 7.7e-12 14.30 116 1.3e-08 1.3e-03 8.1e-07 9.98e-01 1.665305241e+02 1.665305541e+02 6.9e-12 14.69 117 1.2e-08 1.2e-03 7.3e-07 9.48e-01 1.665305261e+02 1.665305531e+02 6.2e-12 14.89 118 1.1e-08 1.0e-03 6.6e-07 1.02e+00 1.665305280e+02 1.665305521e+02 5.6e-12 15.00 119 9.5e-09 9.4e-04 5.9e-07 9.32e-01 1.665305296e+02 1.665305513e+02 5.1e-12 15.03 120 8.6e-09 8.5e-04 5.3e-07 1.13e+00 1.665305318e+02 1.665305500e+02 4.9e-12 15.08 121 7.8e-09 7.6e-04 4.8e-07 9.66e-01 1.665305330e+02 1.665305494e+02 4.4e-12 15.43 122 7.0e-09 6.9e-04 4.3e-07 1.12e+00 1.665305346e+02 1.665305484e+02 4.2e-12 15.70 123 6.5e-09 6.2e-04 3.9e-07 1.16e+00 1.665305362e+02 1.665305475e+02 4.1e-12 15.94 124 6.4e-09 5.6e-04 3.5e-07 1.19e+00 1.665305376e+02 1.665305467e+02 4.0e-12 16.08 125 6.0e-09 5.0e-04 3.2e-07 1.07e+00 1.665305385e+02 1.665305463e+02 3.7e-12 16.29 126 5.2e-09 4.5e-04 2.8e-07 1.05e+00 1.665305391e+02 1.665305460e+02 3.4e-12 16.43 127 4.2e-09 4.8e-05 3.0e-08 8.79e-01 1.665305434e+02 1.665305441e+02 5.3e-13 16.67 Interior-point optimizer terminated. Time: 16.67. Optimizer terminated. Time: 16.68 solsta = 1, prosta = 1 Interior-point solution summary Problem status : PRIMAL_AND_DUAL_FEASIBLE Solution status : OPTIMAL Primal. obj: 1.6653054336e+02 Viol. con: 6e-08 var: 0e+00 Dual. obj: 1.6653054414e+02 Viol. con: 0e+00 var: 2e-04 * End solution on dual form. * Transforming to primal solution. Solving took 16.7 seconds. Using solver 'mosek' Solving for 1768 variables. Number of Hessian non-zeros: 2054 * Solving exponential optimization problem on dual form. * * The following log information refers to the solution of the dual problem. * Computer Platform : MACOSX/64-X86 Cores : 4 Problem Name : Objective sense : max Type : GECO (general convex optimization problem) Constraints : 1769 Cones : 0 Scalar variables : 6131 Matrix variables : 0 Integer variables : 0 Optimizer started. Interior-point optimizer started. Presolve started. Linear dependency checker started. Linear dependency checker terminated. Eliminator started. Total number of eliminations : 933 Eliminator terminated. Eliminator started. Total number of eliminations : 943 Eliminator terminated. Eliminator - tries : 2 time : 0.00 Eliminator - elim's : 943 Lin. dep. - tries : 1 time : 0.00 Lin. dep. - number : 0 Presolve terminated. Time: 0.01 Matrix reordering started. Local matrix reordering started. Local matrix reordering terminated. Matrix reordering terminated. Optimizer - threads : 4 Optimizer - solved problem : the primal Optimizer - Constraints : 777 Optimizer - Cones : 0 Optimizer - Scalar variables : 3454 conic : 0 Optimizer - Semi-definite variables: 0 scalarized : 0 Factor - setup time : 0.02 dense det. time : 0.00 Factor - ML order time : 0.00 GP order time : 0.02 Factor - nonzeros before factor : 1.64e+04 after factor : 1.50e+05 Factor - dense dim. : 0 flops : 0.00e+00 Factor - GP saved nzs : 0 GP saved flops : 0.00e+00 ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME 0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.286794244e+05 2.000000000e+00 1.0e+00 0.04 1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.265193146e+05 3.562468439e+00 4.8e-01 0.54 2 4.3e+02 5.5e+02 2.4e+04 -9.37e-01 -1.203207915e+05 1.018332401e+01 1.9e-01 0.90 3 2.9e+02 3.7e+02 1.6e+04 -8.39e-01 -1.156409203e+05 6.363834427e+01 1.2e-01 1.15 4 2.8e+02 3.7e+02 1.6e+04 -7.60e-01 -1.129715420e+05 2.317177373e+03 1.2e-01 1.30 5 7.5e+01 9.6e+01 4.1e+03 -7.52e-01 -7.449895180e+04 9.815463031e+03 3.3e-02 1.47 6 3.3e+01 4.2e+01 1.8e+03 -1.91e-01 -4.334765054e+04 1.041513161e+04 1.4e-02 1.51 7 1.9e+01 2.5e+01 1.1e+03 3.44e-01 -2.849551389e+04 6.964188108e+03 8.4e-03 1.53 8 1.1e+01 1.5e+01 6.3e+02 6.08e-01 -1.796453493e+04 4.391116621e+03 5.0e-03 1.54 9 4.5e+00 5.8e+00 2.5e+02 7.77e-01 -7.324430695e+03 2.111347545e+03 2.0e-03 1.58 10 2.1e+00 2.6e+00 1.1e+02 9.31e-01 -3.116068232e+03 1.308120046e+03 9.1e-04 1.63 11 1.3e+00 1.6e+00 7.2e+01 9.82e-01 -1.904970567e+03 8.676197507e+02 5.7e-04 1.89 12 8.0e-01 1.0e+00 4.5e+01 9.84e-01 -1.145145227e+03 6.061229077e+02 3.6e-04 1.90 13 5.8e-01 7.8e-01 3.3e+01 9.59e-01 -8.109422876e+02 4.776317425e+02 2.6e-04 2.10 14 4.0e-01 5.4e-01 2.2e+01 9.99e-01 -4.814434037e+02 3.973911905e+02 1.8e-04 2.12 15 1.7e-01 2.4e-01 9.8e+00 9.93e-01 -1.314327846e+02 2.545026144e+02 7.9e-05 2.13 16 8.7e-02 1.4e-01 5.0e+00 1.01e+00 1.011950387e+01 2.046793546e+02 4.0e-05 2.14 17 7.7e-02 1.2e-01 4.4e+00 1.02e+00 3.170009392e+01 2.038255955e+02 3.6e-05 2.15 18 3.2e-02 7.2e-02 1.9e+00 1.02e+00 1.106558625e+02 1.821086275e+02 1.5e-05 2.16 19 9.1e-03 1.4e-01 5.3e-01 1.02e+00 1.513114657e+02 1.716112477e+02 4.2e-06 2.17 20 2.9e-03 1.1e-01 1.7e-01 1.01e+00 1.615152970e+02 1.682105346e+02 1.4e-06 2.18 21 1.8e-03 8.3e-02 1.1e-01 1.01e+00 1.633828941e+02 1.675951291e+02 8.9e-07 2.19 22 5.4e-04 1.3e-01 3.3e-02 1.01e+00 1.655693888e+02 1.668398641e+02 2.7e-07 2.20 23 3.7e-04 1.1e-01 2.3e-02 9.97e-01 1.658483243e+02 1.667289612e+02 1.9e-07 2.22 24 2.2e-04 7.7e-02 1.3e-02 9.83e-01 1.661142530e+02 1.666257487e+02 1.1e-07 2.23 25 1.7e-04 6.2e-02 1.1e-02 9.99e-01 1.661883771e+02 1.666014532e+02 8.9e-08 2.24 26 1.6e-04 5.7e-02 9.8e-03 1.01e+00 1.662182144e+02 1.665897945e+02 8.1e-08 2.25 27 1.4e-04 5.2e-02 8.8e-03 1.01e+00 1.662443807e+02 1.665786910e+02 7.3e-08 2.26 28 1.3e-04 4.8e-02 7.9e-03 1.01e+00 1.662680319e+02 1.665688441e+02 6.5e-08 2.27 29 1.1e-04 4.4e-02 7.1e-03 1.01e+00 1.662892276e+02 1.665599034e+02 5.9e-08 2.28 30 1.0e-04 4.0e-02 6.4e-03 1.01e+00 1.663082511e+02 1.665518146e+02 5.3e-08 2.29 31 9.2e-05 3.7e-02 5.8e-03 1.01e+00 1.663253210e+02 1.665444919e+02 4.8e-08 2.30 32 8.3e-05 3.4e-02 5.2e-03 1.01e+00 1.663406393e+02 1.665378640e+02 4.3e-08 2.31 33 7.5e-05 3.1e-02 4.7e-03 1.00e+00 1.663543862e+02 1.665318648e+02 3.9e-08 2.81 34 6.7e-05 2.9e-02 4.2e-03 1.00e+00 1.663667236e+02 1.665264354e+02 3.5e-08 3.18 35 6.1e-05 2.7e-02 3.8e-03 1.00e+00 1.663777970e+02 1.665215225e+02 3.1e-08 3.30 36 5.5e-05 2.5e-02 3.4e-03 1.00e+00 1.663877368e+02 1.665170777e+02 2.8e-08 3.58 37 4.9e-05 2.3e-02 3.1e-03 1.00e+00 1.663966600e+02 1.665130573e+02 2.5e-08 3.59 38 4.4e-05 2.2e-02 2.8e-03 1.00e+00 1.664046715e+02 1.665094216e+02 2.3e-08 3.62 39 4.0e-05 2.0e-02 2.5e-03 1.00e+00 1.664118653e+02 1.665061344e+02 2.1e-08 3.63 40 3.6e-05 1.9e-02 2.2e-03 1.00e+00 1.664183255e+02 1.665031631e+02 1.8e-08 3.65 41 3.2e-05 1.8e-02 2.0e-03 1.00e+00 1.664241276e+02 1.665004779e+02 1.7e-08 3.66 42 2.9e-05 1.7e-02 1.8e-03 1.00e+00 1.664293392e+02 1.664980516e+02 1.5e-08 3.68 43 2.6e-05 1.6e-02 1.6e-03 1.00e+00 1.664340208e+02 1.664958600e+02 1.3e-08 3.69 44 2.3e-05 1.5e-02 1.5e-03 1.00e+00 1.664382269e+02 1.664938805e+02 1.2e-08 3.70 45 2.1e-05 1.5e-02 1.3e-03 1.00e+00 1.664420060e+02 1.664920931e+02 1.1e-08 3.71 46 1.9e-05 1.4e-02 1.2e-03 1.00e+00 1.664454019e+02 1.664904795e+02 9.8e-09 3.72 47 1.7e-05 1.3e-02 1.1e-03 1.00e+00 1.664484536e+02 1.664890229e+02 8.9e-09 3.73 48 1.5e-05 1.3e-02 9.6e-04 1.00e+00 1.664511964e+02 1.664877083e+02 8.0e-09 3.74 49 1.4e-05 1.2e-02 8.7e-04 1.00e+00 1.664536618e+02 1.664865222e+02 7.2e-09 3.75 50 1.2e-05 1.2e-02 7.8e-04 1.00e+00 1.664558779e+02 1.664854522e+02 6.5e-09 3.76 51 1.1e-05 1.1e-02 7.0e-04 1.00e+00 1.664578702e+02 1.664844870e+02 5.8e-09 3.77 52 1.0e-05 1.1e-02 6.3e-04 1.00e+00 1.664596615e+02 1.664836166e+02 5.2e-09 3.81 53 9.1e-06 1.1e-02 5.7e-04 1.00e+00 1.664612722e+02 1.664828318e+02 4.7e-09 3.82 54 8.2e-06 1.0e-02 5.1e-04 1.00e+00 1.664627206e+02 1.664821243e+02 4.2e-09 3.84 55 7.4e-06 1.0e-02 4.6e-04 1.00e+00 1.664640231e+02 1.664814865e+02 3.8e-09 3.86 56 6.6e-06 1.0e-02 4.2e-04 1.00e+00 1.664651946e+02 1.664809117e+02 3.4e-09 3.87 57 6.0e-06 9.8e-03 3.7e-04 1.00e+00 1.664662482e+02 1.664803938e+02 3.1e-09 4.17 58 5.4e-06 9.6e-03 3.4e-04 1.00e+00 1.664671960e+02 1.664799271e+02 2.8e-09 4.18 59 4.8e-06 9.4e-03 3.0e-04 1.00e+00 1.664680485e+02 1.664795066e+02 2.5e-09 4.20 60 4.3e-06 9.3e-03 2.7e-04 1.00e+00 1.664688154e+02 1.664791278e+02 2.3e-09 4.21 61 3.9e-06 9.1e-03 2.5e-04 1.00e+00 1.664695053e+02 1.664787865e+02 2.0e-09 4.22 62 3.5e-06 9.0e-03 2.2e-04 1.00e+00 1.664701259e+02 1.664784791e+02 1.8e-09 4.24 63 3.2e-06 8.9e-03 2.0e-04 1.00e+00 1.664706842e+02 1.664782021e+02 1.6e-09 4.25 64 2.9e-06 8.8e-03 1.8e-04 1.00e+00 1.664711864e+02 1.664779526e+02 1.5e-09 4.26 65 2.6e-06 8.7e-03 1.6e-04 1.00e+00 1.664716382e+02 1.664777279e+02 1.3e-09 4.73 66 2.3e-06 8.6e-03 1.4e-04 1.00e+00 1.664720448e+02 1.664775256e+02 1.2e-09 4.74 67 2.1e-06 8.5e-03 1.3e-04 1.00e+00 1.664724107e+02 1.664773434e+02 1.1e-09 4.75 68 1.9e-06 8.4e-03 1.2e-04 1.00e+00 1.664727399e+02 1.664771794e+02 9.7e-10 4.76 69 1.7e-06 8.4e-03 1.1e-04 1.00e+00 1.664730361e+02 1.664770318e+02 8.7e-10 5.08 70 1.5e-06 8.3e-03 9.5e-05 1.00e+00 1.664733028e+02 1.664768988e+02 7.9e-10 5.33 71 1.4e-06 8.2e-03 8.6e-05 1.00e+00 1.664735427e+02 1.664767792e+02 7.1e-10 5.58 72 1.2e-06 8.2e-03 7.7e-05 1.00e+00 1.664737586e+02 1.664766715e+02 6.4e-10 5.91 73 1.1e-06 8.1e-03 6.9e-05 1.00e+00 1.664739529e+02 1.664765745e+02 5.7e-10 5.96 74 9.9e-07 8.1e-03 6.2e-05 1.00e+00 1.664741278e+02 1.664764873e+02 5.2e-10 5.99 75 9.0e-07 8.0e-03 5.6e-05 1.00e+00 1.664742851e+02 1.664764087e+02 4.6e-10 6.02 76 8.1e-07 8.0e-03 5.1e-05 1.00e+00 1.664744267e+02 1.664763379e+02 4.2e-10 6.04 77 7.3e-07 8.0e-03 4.5e-05 1.00e+00 1.664745541e+02 1.664762742e+02 3.8e-10 6.07 78 6.5e-07 7.9e-03 4.1e-05 1.00e+00 1.664746687e+02 1.664762168e+02 3.4e-10 6.10 79 5.9e-07 7.9e-03 3.7e-05 1.00e+00 1.664747719e+02 1.664761651e+02 3.0e-10 6.27 80 5.3e-07 7.9e-03 3.3e-05 9.99e-01 1.664748646e+02 1.664761186e+02 2.7e-10 6.60 81 4.8e-07 7.8e-03 3.0e-05 1.00e+00 1.664749481e+02 1.664760767e+02 2.5e-10 6.83 82 4.3e-07 7.8e-03 2.7e-05 1.00e+00 1.664750231e+02 1.664760389e+02 2.2e-10 6.98 83 3.9e-07 7.8e-03 2.4e-05 9.99e-01 1.664750906e+02 1.664760049e+02 2.0e-10 7.21 84 3.5e-07 7.8e-03 2.2e-05 1.00e+00 1.664751514e+02 1.664759742e+02 1.8e-10 7.44 85 3.1e-07 7.8e-03 2.0e-05 1.00e+00 1.664752060e+02 1.664759465e+02 1.6e-10 7.74 86 2.8e-07 7.7e-03 1.8e-05 1.00e+00 1.664752552e+02 1.664759216e+02 1.5e-10 7.95 87 2.5e-07 7.7e-03 1.6e-05 1.00e+00 1.664752995e+02 1.664758991e+02 1.3e-10 8.11 88 2.3e-07 7.7e-03 1.4e-05 1.00e+00 1.664753392e+02 1.664758790e+02 1.2e-10 8.22 89 2.0e-07 7.7e-03 1.3e-05 1.00e+00 1.664753751e+02 1.664758607e+02 1.1e-10 8.27 90 1.8e-07 7.7e-03 1.2e-05 1.00e+00 1.664754073e+02 1.664758444e+02 9.6e-11 8.31 91 1.7e-07 7.7e-03 1.0e-05 9.98e-01 1.664754363e+02 1.664758297e+02 8.6e-11 8.75 92 1.5e-07 7.6e-03 9.4e-06 1.00e+00 1.664754624e+02 1.664758164e+02 7.7e-11 8.95 93 1.3e-07 7.6e-03 8.4e-06 1.00e+00 1.664754859e+02 1.664758044e+02 7.0e-11 9.09 94 1.2e-07 7.6e-03 7.6e-06 9.99e-01 1.664755070e+02 1.664757937e+02 6.3e-11 9.22 95 1.1e-07 7.6e-03 6.8e-06 1.00e+00 1.664755260e+02 1.664757840e+02 5.6e-11 9.34 96 9.8e-08 7.6e-03 6.1e-06 1.00e+00 1.664755431e+02 1.664757753e+02 5.1e-11 9.50 97 8.8e-08 7.6e-03 5.5e-06 1.00e+00 1.664755585e+02 1.664757674e+02 4.6e-11 9.75 98 7.9e-08 7.6e-03 5.0e-06 1.00e+00 1.664755723e+02 1.664757604e+02 4.1e-11 9.97 99 7.1e-08 7.5e-03 4.5e-06 9.98e-01 1.664755848e+02 1.664757540e+02 3.7e-11 10.10 100 6.4e-08 7.5e-03 4.0e-06 9.98e-01 1.664755960e+02 1.664757483e+02 3.3e-11 10.36 101 5.8e-08 7.5e-03 3.6e-06 1.00e+00 1.664756061e+02 1.664757432e+02 3.0e-11 10.45 102 5.2e-08 7.5e-03 3.3e-06 9.94e-01 1.664756152e+02 1.664757386e+02 2.7e-11 10.52 103 4.7e-08 7.5e-03 2.9e-06 9.93e-01 1.664756233e+02 1.664757345e+02 2.4e-11 10.58 104 4.2e-08 7.5e-03 2.6e-06 9.98e-01 1.664756307e+02 1.664757307e+02 2.2e-11 10.65 105 3.8e-08 7.5e-03 2.4e-06 9.94e-01 1.664756373e+02 1.664757274e+02 2.0e-11 11.01 106 3.4e-08 6.7e-03 2.1e-06 1.00e+00 1.664756433e+02 1.664757243e+02 1.8e-11 11.13 107 3.1e-08 6.0e-03 1.9e-06 9.90e-01 1.664756486e+02 1.664757216e+02 1.6e-11 11.25 108 2.8e-08 5.4e-03 1.7e-06 1.01e+00 1.664756537e+02 1.664757189e+02 1.4e-11 11.52 109 2.5e-08 4.9e-03 1.6e-06 1.01e+00 1.664756581e+02 1.664757167e+02 1.3e-11 11.75 110 2.2e-08 4.4e-03 1.4e-06 1.01e+00 1.664756621e+02 1.664757147e+02 1.2e-11 11.99 111 2.0e-08 4.0e-03 1.3e-06 1.01e+00 1.664756658e+02 1.664757127e+02 1.1e-11 12.12 112 1.8e-08 3.6e-03 1.1e-06 1.00e+00 1.664756689e+02 1.664757111e+02 9.6e-12 12.27 113 1.6e-08 3.2e-03 1.0e-06 1.01e+00 1.664756719e+02 1.664757096e+02 8.7e-12 12.49 114 1.5e-08 2.9e-03 9.2e-07 9.84e-01 1.664756744e+02 1.664757084e+02 7.8e-12 12.65 115 1.3e-08 2.6e-03 8.3e-07 1.01e+00 1.664756767e+02 1.664757072e+02 7.1e-12 12.69 116 1.2e-08 2.3e-03 7.5e-07 1.01e+00 1.664756788e+02 1.664757061e+02 6.4e-12 12.77 117 1.1e-08 2.1e-03 6.7e-07 1.00e+00 1.664756806e+02 1.664757052e+02 5.8e-12 12.79 118 9.7e-09 1.9e-03 6.1e-07 9.78e-01 1.664756823e+02 1.664757044e+02 5.2e-12 12.88 119 2.3e-09 2.5e-04 7.9e-08 1.06e+00 1.664756949e+02 1.664756976e+02 5.6e-13 13.29 Interior-point optimizer terminated. Time: 13.29. Optimizer terminated. Time: 13.30 solsta = 1, prosta = 1 Interior-point solution summary Problem status : PRIMAL_AND_DUAL_FEASIBLE Solution status : OPTIMAL Primal. obj: 1.6647569485e+02 Viol. con: 4e-08 var: 0e+00 Dual. obj: 1.6647569760e+02 Viol. con: 0e+00 var: 2e-03 * End solution on dual form. * Transforming to primal solution. Solving took 13.3 seconds. Using solver 'mosek' Solving for 1768 variables. Number of Hessian non-zeros: 2054 * Solving exponential optimization problem on dual form. * * The following log information refers to the solution of the dual problem. * Computer Platform : MACOSX/64-X86 Cores : 4 Problem Name : Objective sense : max Type : GECO (general convex optimization problem) Constraints : 1769 Cones : 0 Scalar variables : 6131 Matrix variables : 0 Integer variables : 0 Optimizer started. Interior-point optimizer started. Presolve started. Linear dependency checker started. Linear dependency checker terminated. Eliminator started. Total number of eliminations : 933 Eliminator terminated. Eliminator started. Total number of eliminations : 943 Eliminator terminated. Eliminator - tries : 2 time : 0.00 Eliminator - elim's : 943 Lin. dep. - tries : 1 time : 0.00 Lin. dep. - number : 0 Presolve terminated. Time: 0.01 Matrix reordering started. Local matrix reordering started. Local matrix reordering terminated. Matrix reordering terminated. Optimizer - threads : 4 Optimizer - solved problem : the primal Optimizer - Constraints : 777 Optimizer - Cones : 0 Optimizer - Scalar variables : 3453 conic : 0 Optimizer - Semi-definite variables: 0 scalarized : 0 Factor - setup time : 0.02 dense det. time : 0.00 Factor - ML order time : 0.00 GP order time : 0.02 Factor - nonzeros before factor : 1.64e+04 after factor : 1.50e+05 Factor - dense dim. : 0 flops : 0.00e+00 Factor - GP saved nzs : 0 GP saved flops : 0.00e+00 ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME 0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.286082581e+05 2.000000000e+00 1.0e+00 0.04 1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.264455444e+05 3.561147591e+00 4.8e-01 0.42 2 4.3e+02 5.5e+02 2.4e+04 -9.36e-01 -1.202189359e+05 1.021577416e+01 1.8e-01 0.64 3 2.9e+02 3.7e+02 1.6e+04 -8.39e-01 -1.155276030e+05 6.409886707e+01 1.2e-01 0.76 4 2.8e+02 3.7e+02 1.6e+04 -7.59e-01 -1.128745040e+05 2.305050122e+03 1.2e-01 0.90 5 7.5e+01 9.7e+01 4.2e+03 -7.52e-01 -7.464877661e+04 9.750336906e+03 3.3e-02 0.94 6 3.0e+01 3.9e+01 1.7e+03 -1.94e-01 -4.061326214e+04 1.038313327e+04 1.3e-02 1.01 7 1.8e+01 2.3e+01 1.0e+03 3.92e-01 -2.711375937e+04 6.759405278e+03 8.0e-03 1.02 8 9.7e+00 1.3e+01 5.4e+02 6.31e-01 -1.563221674e+04 3.921992359e+03 4.3e-03 1.04 9 3.9e+00 5.0e+00 2.2e+02 8.13e-01 -6.377815709e+03 1.902956639e+03 1.7e-03 1.41 10 2.1e+00 2.7e+00 1.2e+02 9.42e-01 -3.277241045e+03 1.216027593e+03 9.3e-04 1.66 11 1.0e+00 1.3e+00 5.8e+01 9.80e-01 -1.515217258e+03 7.311990161e+02 4.6e-04 1.78 12 8.1e-01 1.0e+00 4.6e+01 9.78e-01 -1.187427646e+03 6.070203625e+02 3.6e-04 1.90 13 4.8e-01 6.2e-01 2.7e+01 9.74e-01 -6.492736402e+02 4.265912778e+02 2.2e-04 2.13 14 2.7e-01 3.5e-01 1.5e+01 1.00e+00 -2.813520090e+02 3.142388106e+02 1.2e-04 2.29 15 9.6e-02 1.5e-01 5.5e+00 1.00e+00 -8.234993273e+00 2.072941432e+02 4.4e-05 2.39 16 8.7e-02 1.3e-01 5.0e+00 1.02e+00 1.500582856e+01 2.092558839e+02 4.0e-05 2.51 17 5.9e-02 9.3e-02 3.4e+00 1.02e+00 6.336525042e+01 1.948917131e+02 2.7e-05 2.66 18 2.9e-02 7.0e-02 1.7e+00 1.02e+00 1.166854538e+02 1.805941884e+02 1.3e-05 2.89 19 8.2e-03 1.9e-01 4.8e-01 1.02e+00 1.531081980e+02 1.714052543e+02 3.8e-06 3.02 20 3.1e-03 2.2e-01 1.8e-01 1.01e+00 1.611497728e+02 1.681146082e+02 1.5e-06 3.18 21 1.8e-03 1.4e-01 1.1e-01 1.01e+00 1.633184474e+02 1.674979575e+02 8.9e-07 3.19 22 5.5e-04 1.3e-01 3.4e-02 1.01e+00 1.655217992e+02 1.668072359e+02 2.8e-07 3.21 23 4.0e-04 1.1e-01 2.5e-02 9.96e-01 1.657698993e+02 1.667104234e+02 2.1e-07 3.25 24 2.2e-04 7.8e-02 1.4e-02 9.85e-01 1.660774630e+02 1.665929449e+02 1.1e-07 3.27 25 1.9e-04 6.7e-02 1.2e-02 1.00e+00 1.661340379e+02 1.665753700e+02 9.6e-08 3.30 26 1.7e-04 6.1e-02 1.0e-02 1.01e+00 1.661667875e+02 1.665637290e+02 8.7e-08 3.35 27 1.5e-04 5.5e-02 9.4e-03 1.01e+00 1.661948374e+02 1.665519670e+02 7.8e-08 3.56 28 1.4e-04 5.1e-02 8.5e-03 1.01e+00 1.662202257e+02 1.665415657e+02 7.0e-08 3.58 29 1.2e-04 4.6e-02 7.6e-03 1.01e+00 1.662429650e+02 1.665321098e+02 6.3e-08 3.59 30 1.1e-04 4.2e-02 6.9e-03 1.01e+00 1.662633742e+02 1.665235544e+02 5.7e-08 3.86 31 9.9e-05 3.9e-02 6.2e-03 1.01e+00 1.662816877e+02 1.665158092e+02 5.1e-08 4.20 32 8.9e-05 3.6e-02 5.6e-03 1.01e+00 1.662981224e+02 1.665087988e+02 4.6e-08 4.43 33 8.0e-05 3.3e-02 5.0e-03 1.00e+00 1.663128715e+02 1.665024536e+02 4.2e-08 4.70 34 7.2e-05 3.0e-02 4.5e-03 1.00e+00 1.663261085e+02 1.664967109e+02 3.7e-08 4.93 35 6.5e-05 2.8e-02 4.1e-03 1.00e+00 1.663379891e+02 1.664915140e+02 3.4e-08 5.07 36 5.9e-05 2.6e-02 3.7e-03 1.00e+00 1.663486532e+02 1.664868117e+02 3.0e-08 5.09 37 5.3e-05 2.4e-02 3.3e-03 1.00e+00 1.663582263e+02 1.664825579e+02 2.7e-08 5.10 38 4.8e-05 2.3e-02 3.0e-03 1.00e+00 1.663668208e+02 1.664787105e+02 2.5e-08 5.11 39 4.3e-05 2.1e-02 2.7e-03 1.00e+00 1.663745377e+02 1.664752314e+02 2.2e-08 5.12 40 3.8e-05 2.0e-02 2.4e-03 1.00e+00 1.663814672e+02 1.664720860e+02 2.0e-08 5.13 41 3.5e-05 1.9e-02 2.2e-03 1.00e+00 1.663876903e+02 1.664692430e+02 1.8e-08 5.16 42 3.1e-05 1.7e-02 1.9e-03 1.00e+00 1.663932796e+02 1.664666737e+02 1.6e-08 5.17 43 2.8e-05 1.6e-02 1.8e-03 1.00e+00 1.663983001e+02 1.664643521e+02 1.5e-08 5.18 44 2.5e-05 1.6e-02 1.6e-03 1.00e+00 1.664028099e+02 1.664622547e+02 1.3e-08 5.18 45 2.3e-05 1.5e-02 1.4e-03 1.00e+00 1.664068613e+02 1.664603601e+02 1.2e-08 5.19 46 2.0e-05 1.4e-02 1.3e-03 1.00e+00 1.664105011e+02 1.664586489e+02 1.1e-08 5.20 47 1.8e-05 1.3e-02 1.1e-03 1.00e+00 1.664137714e+02 1.664571036e+02 9.5e-09 5.21 48 1.7e-05 1.3e-02 1.0e-03 1.00e+00 1.664167099e+02 1.664557082e+02 8.6e-09 5.22 49 1.5e-05 1.2e-02 9.3e-04 1.00e+00 1.664193505e+02 1.664544484e+02 7.7e-09 5.23 50 1.3e-05 1.2e-02 8.4e-04 1.00e+00 1.664217234e+02 1.664533112e+02 7.0e-09 5.24 51 1.2e-05 1.2e-02 7.5e-04 1.00e+00 1.664238559e+02 1.664522848e+02 6.3e-09 5.27 52 1.1e-05 1.1e-02 6.8e-04 1.00e+00 1.664257726e+02 1.664513585e+02 5.6e-09 5.28 53 9.8e-06 1.1e-02 6.1e-04 1.00e+00 1.664274955e+02 1.664505226e+02 5.1e-09 5.32 54 8.8e-06 1.1e-02 5.5e-04 1.00e+00 1.664290441e+02 1.664497685e+02 4.6e-09 5.36 55 7.9e-06 1.0e-02 4.9e-04 1.00e+00 1.664304362e+02 1.664490882e+02 4.1e-09 5.37 56 7.1e-06 1.0e-02 4.5e-04 1.00e+00 1.664316878e+02 1.664484746e+02 3.7e-09 5.38 57 6.4e-06 9.8e-03 4.0e-04 1.00e+00 1.664328130e+02 1.664479212e+02 3.3e-09 5.39 58 5.8e-06 9.7e-03 3.6e-04 1.00e+00 1.664338248e+02 1.664474222e+02 3.0e-09 5.40 59 5.2e-06 9.5e-03 3.2e-04 1.00e+00 1.664347344e+02 1.664469722e+02 2.7e-09 5.43 60 4.7e-06 9.3e-03 2.9e-04 1.00e+00 1.664355524e+02 1.664465665e+02 2.4e-09 5.45 61 4.2e-06 9.2e-03 2.6e-04 1.00e+00 1.664362879e+02 1.664462007e+02 2.2e-09 5.46 62 3.8e-06 9.1e-03 2.4e-04 1.00e+00 1.664369493e+02 1.664458708e+02 2.0e-09 5.48 63 3.4e-06 8.9e-03 2.1e-04 1.00e+00 1.664375440e+02 1.664455735e+02 1.8e-09 5.49 64 3.1e-06 8.8e-03 1.9e-04 1.00e+00 1.664380788e+02 1.664453054e+02 1.6e-09 5.50 65 2.8e-06 8.7e-03 1.7e-04 1.00e+00 1.664385598e+02 1.664450637e+02 1.4e-09 5.50 66 2.5e-06 8.6e-03 1.6e-04 1.00e+00 1.664389924e+02 1.664448460e+02 1.3e-09 5.51 67 2.2e-06 8.6e-03 1.4e-04 1.00e+00 1.664393815e+02 1.664446498e+02 1.2e-09 5.52 68 2.0e-06 8.5e-03 1.3e-04 1.00e+00 1.664397315e+02 1.664444730e+02 1.0e-09 5.53 69 1.8e-06 8.4e-03 1.1e-04 1.00e+00 1.664400464e+02 1.664443138e+02 9.4e-10 5.54 70 1.6e-06 8.3e-03 1.0e-04 1.00e+00 1.664403297e+02 1.664441704e+02 8.5e-10 5.55 71 1.5e-06 8.3e-03 9.2e-05 1.00e+00 1.664405845e+02 1.664440412e+02 7.6e-10 5.56 72 1.3e-06 8.2e-03 8.3e-05 1.00e+00 1.664408138e+02 1.664439248e+02 6.9e-10 5.58 73 1.2e-06 8.2e-03 7.4e-05 1.00e+00 1.664410201e+02 1.664438200e+02 6.2e-10 5.59 74 1.1e-06 8.1e-03 6.7e-05 1.00e+00 1.664412057e+02 1.664437256e+02 5.6e-10 5.60 75 9.6e-07 8.1e-03 6.0e-05 1.00e+00 1.664413726e+02 1.664436406e+02 5.0e-10 5.61 76 8.7e-07 8.0e-03 5.4e-05 1.00e+00 1.664415228e+02 1.664435640e+02 4.5e-10 5.62 77 7.8e-07 8.0e-03 4.9e-05 1.00e+00 1.664416580e+02 1.664434950e+02 4.1e-10 5.63 78 7.0e-07 8.0e-03 4.4e-05 1.00e+00 1.664417795e+02 1.664434329e+02 3.6e-10 5.64 79 6.3e-07 7.9e-03 4.0e-05 1.00e+00 1.664418889e+02 1.664433770e+02 3.3e-10 5.66 80 5.7e-07 7.9e-03 3.6e-05 1.00e+00 1.664419873e+02 1.664433265e+02 3.0e-10 5.68 81 5.1e-07 7.9e-03 3.2e-05 1.00e+00 1.664420758e+02 1.664432811e+02 2.7e-10 5.69 82 4.6e-07 7.8e-03 2.9e-05 1.00e+00 1.664421554e+02 1.664432402e+02 2.4e-10 5.70 83 4.1e-07 7.8e-03 2.6e-05 1.00e+00 1.664422270e+02 1.664432034e+02 2.2e-10 5.71 84 3.7e-07 7.8e-03 2.3e-05 9.99e-01 1.664422914e+02 1.664431702e+02 1.9e-10 5.72 85 3.4e-07 7.8e-03 2.1e-05 1.00e+00 1.664423494e+02 1.664431403e+02 1.7e-10 5.80 86 3.0e-07 7.7e-03 1.9e-05 1.00e+00 1.664424016e+02 1.664431134e+02 1.6e-10 5.81 87 2.7e-07 7.7e-03 1.7e-05 1.00e+00 1.664424485e+02 1.664430891e+02 1.4e-10 5.82 88 2.4e-07 7.7e-03 1.5e-05 1.00e+00 1.664424907e+02 1.664430673e+02 1.3e-10 6.03 89 2.2e-07 7.7e-03 1.4e-05 1.00e+00 1.664425287e+02 1.664430477e+02 1.1e-10 6.03 90 2.0e-07 7.7e-03 1.2e-05 9.99e-01 1.664425630e+02 1.664430300e+02 1.0e-10 6.05 91 1.8e-07 7.6e-03 1.1e-05 1.00e+00 1.664425937e+02 1.664430141e+02 9.3e-11 6.06 92 1.6e-07 7.6e-03 1.0e-05 1.00e+00 1.664426215e+02 1.664429998e+02 8.3e-11 6.07 93 1.4e-07 7.6e-03 9.0e-06 1.00e+00 1.664426464e+02 1.664429868e+02 7.5e-11 6.08 94 1.3e-07 7.6e-03 8.1e-06 1.00e+00 1.664426689e+02 1.664429752e+02 6.8e-11 6.09 95 1.2e-07 7.6e-03 7.3e-06 9.99e-01 1.664426891e+02 1.664429648e+02 6.1e-11 6.11 96 1.1e-07 7.6e-03 6.6e-06 1.00e+00 1.664427072e+02 1.664429554e+02 5.5e-11 6.12 97 9.5e-08 7.6e-03 5.9e-06 1.00e+00 1.664427236e+02 1.664429470e+02 4.9e-11 6.13 98 8.5e-08 7.6e-03 5.3e-06 1.00e+00 1.664427384e+02 1.664429393e+02 4.4e-11 6.14 99 7.7e-08 7.5e-03 4.8e-06 1.00e+00 1.664427516e+02 1.664429325e+02 4.0e-11 6.15 100 6.9e-08 7.5e-03 4.3e-06 1.00e+00 1.664427635e+02 1.664429263e+02 3.6e-11 6.23 101 6.2e-08 7.5e-03 3.9e-06 9.97e-01 1.664427743e+02 1.664429208e+02 3.2e-11 6.24 102 5.6e-08 6.8e-03 3.5e-06 1.00e+00 1.664427840e+02 1.664429158e+02 2.9e-11 6.41 103 5.0e-08 6.1e-03 3.2e-06 9.97e-01 1.664427927e+02 1.664429113e+02 2.6e-11 6.42 104 4.5e-08 5.5e-03 2.8e-06 1.01e+00 1.664428006e+02 1.664429072e+02 2.4e-11 6.57 105 4.1e-08 4.9e-03 2.6e-06 1.00e+00 1.664428076e+02 1.664429036e+02 2.1e-11 6.58 106 3.7e-08 4.4e-03 2.3e-06 9.93e-01 1.664428140e+02 1.664429003e+02 1.9e-11 6.67 107 3.3e-08 4.0e-03 2.1e-06 1.00e+00 1.664428197e+02 1.664428974e+02 1.7e-11 6.68 108 3.0e-08 3.6e-03 1.9e-06 1.03e+00 1.664428254e+02 1.664428943e+02 1.6e-11 6.76 109 2.7e-08 3.2e-03 1.7e-06 9.99e-01 1.664428300e+02 1.664428920e+02 1.4e-11 6.77 110 2.4e-08 2.9e-03 1.5e-06 1.00e+00 1.664428341e+02 1.664428899e+02 1.3e-11 6.78 111 2.2e-08 2.6e-03 1.4e-06 9.95e-01 1.664428378e+02 1.664428880e+02 1.1e-11 6.81 112 2.0e-08 2.4e-03 1.2e-06 1.01e+00 1.664428413e+02 1.664428862e+02 1.0e-11 6.84 113 1.8e-08 2.1e-03 1.1e-06 9.98e-01 1.664428442e+02 1.664428846e+02 9.3e-12 6.85 114 1.6e-08 1.9e-03 9.9e-07 1.08e+00 1.664428479e+02 1.664428826e+02 8.7e-12 6.86 115 1.4e-08 1.7e-03 8.9e-07 9.26e-01 1.664428502e+02 1.664428814e+02 7.8e-12 6.87 116 1.3e-08 1.5e-03 8.0e-07 9.11e-01 1.664428522e+02 1.664428805e+02 7.1e-12 6.88 117 1.2e-08 1.4e-03 7.2e-07 8.28e-01 1.664428541e+02 1.664428796e+02 6.4e-12 6.89 118 1.1e-08 1.3e-03 6.5e-07 9.85e-01 1.664428557e+02 1.664428788e+02 5.7e-12 6.90 119 9.6e-09 1.1e-03 5.8e-07 9.86e-01 1.664428573e+02 1.664428780e+02 5.2e-12 6.91 120 8.6e-09 1.0e-03 5.3e-07 9.65e-01 1.664428586e+02 1.664428773e+02 4.6e-12 7.32 121 7.7e-09 9.1e-04 4.7e-07 8.33e-01 1.664428598e+02 1.664428767e+02 4.2e-12 7.62 122 7.0e-09 8.2e-04 4.3e-07 8.84e-01 1.664428609e+02 1.664428762e+02 3.8e-12 7.71 123 6.3e-09 7.4e-04 3.8e-07 9.23e-01 1.664428619e+02 1.664428757e+02 3.4e-12 7.72 124 6.1e-09 6.7e-04 3.4e-07 1.03e+00 1.664428629e+02 1.664428752e+02 3.1e-12 7.74 125 5.5e-09 6.0e-04 3.1e-07 7.94e-01 1.664428638e+02 1.664428747e+02 2.8e-12 7.75 126 5.1e-09 5.4e-04 2.8e-07 2.92e+00 1.664428645e+02 1.664428744e+02 2.5e-12 7.76 127 8.8e-09 4.9e-04 2.5e-07 1.10e+00 1.664428654e+02 1.664428737e+02 2.4e-12 7.80 128 7.9e-09 4.4e-04 2.3e-07 1.97e+00 1.664428657e+02 1.664428742e+02 2.1e-12 7.83 129 1.0e-08 3.9e-04 2.0e-07 7.66e-01 1.664428662e+02 1.664428741e+02 1.9e-12 8.25 130 9.5e-09 3.5e-04 1.8e-07 1.05e+00 1.664428668e+02 1.664428737e+02 1.8e-12 8.50 131 8.6e-09 3.2e-04 1.7e-07 6.37e-01 1.664428672e+02 1.664428732e+02 1.6e-12 8.63 132 8.0e-09 2.9e-04 1.5e-07 6.30e-01 1.664428676e+02 1.664428732e+02 1.4e-12 8.83 133 7.5e-09 2.6e-04 1.3e-07 6.14e-01 1.664428679e+02 1.664428730e+02 1.3e-12 8.89 134 6.6e-09 2.3e-04 1.2e-07 8.53e-01 1.664428682e+02 1.664428729e+02 1.2e-12 9.00 135 7.4e-09 2.1e-04 1.1e-07 1.10e+00 1.664428686e+02 1.664428725e+02 1.1e-12 9.13 136 7.5e-09 1.9e-04 9.7e-08 1.83e+00 1.664428688e+02 1.664428727e+02 9.8e-13 9.26 Interior-point optimizer terminated. Time: 9.27. Optimizer terminated. Time: 9.27 solsta = 1, prosta = 1 Interior-point solution summary Problem status : PRIMAL_AND_DUAL_FEASIBLE Solution status : OPTIMAL Primal. obj: 1.6644286880e+02 Viol. con: 2e-07 var: 0e+00 Dual. obj: 1.6644287266e+02 Viol. con: 0e+00 var: 1e-03 * End solution on dual form. * Transforming to primal solution. Solving took 9.29 seconds. Using solver 'mosek' Solving for 1768 variables. Number of Hessian non-zeros: 2054 * Solving exponential optimization problem on dual form. * * The following log information refers to the solution of the dual problem. * Computer Platform : MACOSX/64-X86 Cores : 4 Problem Name : Objective sense : max Type : GECO (general convex optimization problem) Constraints : 1769 Cones : 0 Scalar variables : 6131 Matrix variables : 0 Integer variables : 0 Optimizer started. Interior-point optimizer started. Presolve started. Linear dependency checker started. Linear dependency checker terminated. Eliminator started. Total number of eliminations : 933 Eliminator terminated. Eliminator started. Total number of eliminations : 943 Eliminator terminated. Eliminator - tries : 2 time : 0.00 Eliminator - elim's : 943 Lin. dep. - tries : 1 time : 0.00 Lin. dep. - number : 0 Presolve terminated. Time: 0.01 Matrix reordering started. Local matrix reordering started. Local matrix reordering terminated. Matrix reordering terminated. Optimizer - threads : 4 Optimizer - solved problem : the primal Optimizer - Constraints : 777 Optimizer - Cones : 0 Optimizer - Scalar variables : 3453 conic : 0 Optimizer - Semi-definite variables: 0 scalarized : 0 Factor - setup time : 0.02 dense det. time : 0.00 Factor - ML order time : 0.00 GP order time : 0.02 Factor - nonzeros before factor : 1.64e+04 after factor : 1.50e+05 Factor - dense dim. : 0 flops : 0.00e+00 Factor - GP saved nzs : 0 GP saved flops : 0.00e+00 ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME 0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.286065456e+05 2.000000000e+00 1.0e+00 0.04 1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.264430693e+05 3.560331826e+00 4.8e-01 0.57 2 4.3e+02 5.5e+02 2.4e+04 -9.36e-01 -1.201901544e+05 1.023709137e+01 1.8e-01 0.90 3 2.9e+02 3.7e+02 1.6e+04 -8.38e-01 -1.154934764e+05 6.447254068e+01 1.2e-01 1.25 4 2.8e+02 3.6e+02 1.6e+04 -7.59e-01 -1.128470970e+05 2.299728250e+03 1.2e-01 1.49 5 7.5e+01 9.6e+01 4.1e+03 -7.51e-01 -7.454784434e+04 9.751174918e+03 3.3e-02 1.54 6 3.0e+01 3.9e+01 1.7e+03 -1.92e-01 -4.044507387e+04 1.032158175e+04 1.3e-02 2.10 7 1.8e+01 2.3e+01 1.0e+03 3.95e-01 -2.709826514e+04 6.726763102e+03 7.9e-03 2.28 8 9.6e+00 1.2e+01 5.3e+02 6.31e-01 -1.536833336e+04 3.868718901e+03 4.2e-03 2.45 9 3.6e+00 4.6e+00 2.0e+02 8.17e-01 -5.859951841e+03 1.801373958e+03 1.6e-03 2.79 10 2.0e+00 2.6e+00 1.1e+02 9.48e-01 -3.087451183e+03 1.198960827e+03 8.8e-04 2.91 11 8.5e-01 1.1e+00 4.8e+01 9.81e-01 -1.234100607e+03 6.213275886e+02 3.8e-04 3.15 12 8.2e-01 1.1e+00 4.6e+01 9.53e-01 -1.214658579e+03 5.968276218e+02 3.7e-04 3.31 13 5.1e-01 6.6e-01 2.9e+01 9.71e-01 -7.061150710e+02 4.306344553e+02 2.3e-04 3.55 14 3.1e-01 4.1e-01 1.7e+01 1.00e+00 -3.440374462e+02 3.401527324e+02 1.4e-04 3.71 15 1.1e-01 1.7e-01 6.1e+00 9.98e-01 -2.609082082e+01 2.147714784e+02 4.9e-05 3.84 16 8.2e-02 1.3e-01 4.7e+00 1.02e+00 2.173615597e+01 2.053811541e+02 3.8e-05 3.86 17 4.1e-02 8.6e-02 2.4e+00 1.02e+00 9.595869666e+01 1.869209934e+02 1.9e-05 4.33 18 1.4e-02 8.5e-02 8.1e-01 1.02e+00 1.429808644e+02 1.741344379e+02 6.5e-06 4.47 19 5.9e-03 7.3e-02 3.4e-01 1.01e+00 1.562828727e+02 1.694761712e+02 2.8e-06 4.56 20 1.5e-03 1.5e-01 9.1e-02 1.01e+00 1.639168805e+02 1.673756167e+02 7.3e-07 4.77 21 7.3e-04 1.0e-01 4.5e-02 9.83e-01 1.651836442e+02 1.668993227e+02 3.7e-07 5.02 22 2.3e-04 1.1e-01 1.5e-02 9.96e-01 1.660253578e+02 1.665879377e+02 1.2e-07 5.18 23 1.1e-04 8.7e-02 7.1e-03 1.01e+00 1.662345737e+02 1.665014948e+02 5.9e-08 5.42 24 5.4e-05 7.5e-02 3.5e-03 1.01e+00 1.663291539e+02 1.664619546e+02 3.0e-08 5.58 25 4.9e-05 6.8e-02 3.2e-03 1.01e+00 1.663399651e+02 1.664595625e+02 2.7e-08 5.81 26 4.4e-05 6.2e-02 2.9e-03 1.01e+00 1.663482052e+02 1.664558035e+02 2.4e-08 5.94 27 3.9e-05 5.7e-02 2.6e-03 1.01e+00 1.663557206e+02 1.664525369e+02 2.2e-08 6.04 28 3.5e-05 5.2e-02 2.3e-03 1.01e+00 1.663624428e+02 1.664495577e+02 1.9e-08 6.08 29 3.2e-05 4.7e-02 2.1e-03 1.01e+00 1.663684822e+02 1.664468697e+02 1.7e-08 6.17 30 2.9e-05 4.3e-02 1.9e-03 1.01e+00 1.663739056e+02 1.664444413e+02 1.6e-08 6.49 31 2.6e-05 4.0e-02 1.7e-03 1.00e+00 1.663787769e+02 1.664422485e+02 1.4e-08 6.60 32 2.3e-05 3.7e-02 1.5e-03 1.00e+00 1.663831527e+02 1.664402685e+02 1.3e-08 6.83 33 2.1e-05 3.4e-02 1.4e-03 1.00e+00 1.663870836e+02 1.664384808e+02 1.1e-08 7.00 34 1.9e-05 3.1e-02 1.2e-03 1.00e+00 1.663906152e+02 1.664368670e+02 1.0e-08 7.21 35 1.7e-05 2.9e-02 1.1e-03 1.00e+00 1.663937883e+02 1.664354103e+02 9.3e-09 7.34 36 1.5e-05 2.7e-02 1.0e-03 1.00e+00 1.663966395e+02 1.664340956e+02 8.4e-09 7.60 37 1.4e-05 2.5e-02 9.0e-04 1.00e+00 1.663992016e+02 1.664329091e+02 7.5e-09 7.85 38 1.2e-05 2.3e-02 8.1e-04 1.00e+00 1.664015041e+02 1.664318384e+02 6.8e-09 8.08 39 1.1e-05 2.2e-02 7.3e-04 1.00e+00 1.664035735e+02 1.664308724e+02 6.1e-09 8.14 40 1.0e-05 2.0e-02 6.5e-04 1.00e+00 1.664054335e+02 1.664300010e+02 5.5e-09 8.24 41 9.0e-06 1.9e-02 5.9e-04 1.00e+00 1.664071054e+02 1.664292149e+02 4.9e-09 8.28 42 8.1e-06 1.8e-02 5.3e-04 1.00e+00 1.664086083e+02 1.664285059e+02 4.4e-09 8.30 43 7.3e-06 1.7e-02 4.8e-04 1.00e+00 1.664099595e+02 1.664278665e+02 4.0e-09 8.36 44 6.6e-06 1.6e-02 4.3e-04 1.00e+00 1.664111742e+02 1.664272899e+02 3.6e-09 8.40 45 5.9e-06 1.5e-02 3.9e-04 1.00e+00 1.664122665e+02 1.664267701e+02 3.2e-09 8.63 46 5.3e-06 1.5e-02 3.5e-04 1.00e+00 1.664132485e+02 1.664263015e+02 2.9e-09 8.84 47 4.8e-06 1.4e-02 3.1e-04 1.00e+00 1.664141316e+02 1.664258790e+02 2.6e-09 9.25 48 4.3e-06 1.3e-02 2.8e-04 1.00e+00 1.664149258e+02 1.664254981e+02 2.4e-09 9.52 49 3.9e-06 1.3e-02 2.5e-04 1.00e+00 1.664156399e+02 1.664251548e+02 2.1e-09 9.74 50 3.5e-06 1.2e-02 2.3e-04 1.00e+00 1.664162821e+02 1.664248454e+02 1.9e-09 10.01 51 3.1e-06 1.2e-02 2.1e-04 1.00e+00 1.664168595e+02 1.664245664e+02 1.7e-09 10.13 52 2.8e-06 1.1e-02 1.8e-04 1.00e+00 1.664173789e+02 1.664243150e+02 1.5e-09 10.30 53 2.5e-06 1.1e-02 1.7e-04 1.00e+00 1.664178460e+02 1.664240885e+02 1.4e-09 10.49 54 2.3e-06 1.1e-02 1.5e-04 1.00e+00 1.664182662e+02 1.664238844e+02 1.3e-09 10.50 55 2.1e-06 1.1e-02 1.3e-04 1.00e+00 1.664186442e+02 1.664237005e+02 1.1e-09 10.65 56 1.9e-06 1.0e-02 1.2e-04 1.00e+00 1.664189842e+02 1.664235349e+02 1.0e-09 11.12 57 1.7e-06 1.0e-02 1.1e-04 1.00e+00 1.664192902e+02 1.664233857e+02 9.2e-10 11.26 58 1.5e-06 9.8e-03 9.8e-05 1.00e+00 1.664195654e+02 1.664232514e+02 8.2e-10 11.39 59 1.4e-06 9.6e-03 8.8e-05 1.00e+00 1.664198130e+02 1.664231304e+02 7.4e-10 11.60 60 1.2e-06 9.4e-03 7.9e-05 1.00e+00 1.664200358e+02 1.664230214e+02 6.7e-10 11.67 61 1.1e-06 9.3e-03 7.2e-05 1.00e+00 1.664202362e+02 1.664229233e+02 6.0e-10 11.87 62 9.9e-07 9.1e-03 6.4e-05 1.00e+00 1.664204166e+02 1.664228349e+02 5.4e-10 12.04 63 8.9e-07 9.0e-03 5.8e-05 1.00e+00 1.664205788e+02 1.664227554e+02 4.9e-10 12.27 64 8.0e-07 8.9e-03 5.2e-05 1.00e+00 1.664207248e+02 1.664226837e+02 4.4e-10 12.52 65 7.2e-07 8.8e-03 4.7e-05 1.00e+00 1.664208561e+02 1.664226191e+02 3.9e-10 12.64 66 6.5e-07 8.7e-03 4.2e-05 1.00e+00 1.664209742e+02 1.664225610e+02 3.5e-10 12.78 67 5.8e-07 8.6e-03 3.8e-05 1.00e+00 1.664210805e+02 1.664225086e+02 3.2e-10 12.81 68 5.2e-07 8.5e-03 3.4e-05 1.00e+00 1.664211761e+02 1.664224614e+02 2.9e-10 12.83 69 4.7e-07 8.4e-03 3.1e-05 1.00e+00 1.664212621e+02 1.664224189e+02 2.6e-10 12.88 70 4.2e-07 8.3e-03 2.8e-05 1.00e+00 1.664213394e+02 1.664223805e+02 2.3e-10 12.93 71 3.8e-07 8.3e-03 2.5e-05 9.99e-01 1.664214090e+02 1.664223461e+02 2.1e-10 13.29 72 3.4e-07 8.2e-03 2.2e-05 1.00e+00 1.664214716e+02 1.664223149e+02 1.9e-10 13.52 73 3.1e-07 8.1e-03 2.0e-05 9.98e-01 1.664215279e+02 1.664222870e+02 1.7e-10 13.79 74 2.8e-07 8.1e-03 1.8e-05 1.00e+00 1.664215786e+02 1.664222618e+02 1.5e-10 14.05 75 2.5e-07 8.0e-03 1.6e-05 9.98e-01 1.664216242e+02 1.664222391e+02 1.4e-10 14.27 76 2.3e-07 8.0e-03 1.5e-05 9.98e-01 1.664216652e+02 1.664222187e+02 1.2e-10 14.51 77 2.0e-07 8.0e-03 1.3e-05 1.00e+00 1.664217021e+02 1.664222002e+02 1.1e-10 14.63 78 1.8e-07 7.9e-03 1.2e-05 1.00e+00 1.664217353e+02 1.664221836e+02 1.0e-10 14.82 79 1.6e-07 7.9e-03 1.1e-05 1.00e+00 1.664217652e+02 1.664221687e+02 9.0e-11 15.02 80 1.5e-07 7.9e-03 9.7e-06 9.99e-01 1.664217921e+02 1.664221552e+02 8.1e-11 15.07 81 1.3e-07 7.8e-03 8.7e-06 9.99e-01 1.664218163e+02 1.664221431e+02 7.3e-11 15.12 82 1.2e-07 7.8e-03 7.8e-06 1.00e+00 1.664218381e+02 1.664221322e+02 6.6e-11 15.13 83 1.1e-07 7.8e-03 7.0e-06 9.99e-01 1.664218577e+02 1.664221224e+02 5.9e-11 15.42 84 9.7e-08 7.0e-03 6.3e-06 1.01e+00 1.664218757e+02 1.664221134e+02 5.3e-11 15.57 85 8.7e-08 6.3e-03 5.7e-06 1.01e+00 1.664218917e+02 1.664221054e+02 4.8e-11 15.78 86 7.9e-08 5.7e-03 5.1e-06 1.01e+00 1.664219062e+02 1.664220981e+02 4.3e-11 15.88 87 7.1e-08 5.1e-03 4.6e-06 9.96e-01 1.664219190e+02 1.664220917e+02 3.9e-11 16.05 88 6.4e-08 4.6e-03 4.2e-06 1.00e+00 1.664219305e+02 1.664220859e+02 3.5e-11 16.19 89 5.7e-08 4.1e-03 3.7e-06 1.00e+00 1.664219409e+02 1.664220807e+02 3.2e-11 16.41 90 5.2e-08 3.7e-03 3.4e-06 1.01e+00 1.664219507e+02 1.664220758e+02 2.9e-11 16.56 91 4.6e-08 3.3e-03 3.0e-06 1.00e+00 1.664219590e+02 1.664220716e+02 2.6e-11 16.79 92 4.2e-08 3.0e-03 2.7e-06 9.99e-01 1.664219665e+02 1.664220679e+02 2.3e-11 17.05 93 3.8e-08 2.7e-03 2.5e-06 9.96e-01 1.664219733e+02 1.664220645e+02 2.1e-11 17.21 94 3.4e-08 2.4e-03 2.2e-06 9.82e-01 1.664219793e+02 1.664220615e+02 1.9e-11 17.28 95 3.0e-08 2.2e-03 2.0e-06 9.87e-01 1.664219848e+02 1.664220588e+02 1.7e-11 17.32 96 2.7e-08 2.0e-03 1.8e-06 9.93e-01 1.664219897e+02 1.664220564e+02 1.5e-11 17.44 97 2.5e-08 1.8e-03 1.6e-06 9.92e-01 1.664219942e+02 1.664220542e+02 1.4e-11 17.85 98 2.2e-08 1.6e-03 1.5e-06 1.00e+00 1.664219982e+02 1.664220521e+02 1.2e-11 18.08 99 2.0e-08 1.4e-03 1.3e-06 1.02e+00 1.664220022e+02 1.664220501e+02 1.1e-11 18.44 100 1.8e-08 1.3e-03 1.2e-06 9.74e-01 1.664220053e+02 1.664220485e+02 1.0e-11 18.55 101 1.6e-08 1.2e-03 1.1e-06 1.00e+00 1.664220082e+02 1.664220471e+02 9.1e-12 18.61 102 1.5e-08 1.1e-03 9.5e-07 9.93e-01 1.664220108e+02 1.664220458e+02 8.2e-12 18.71 103 1.3e-08 9.5e-04 8.6e-07 9.95e-01 1.664220131e+02 1.664220446e+02 7.4e-12 18.85 104 1.2e-08 8.5e-04 7.7e-07 9.81e-01 1.664220152e+02 1.664220436e+02 6.6e-12 19.22 105 1.1e-08 7.7e-04 6.9e-07 1.02e+00 1.664220173e+02 1.664220426e+02 6.0e-12 19.46 106 9.6e-09 6.9e-04 6.2e-07 1.02e+00 1.664220191e+02 1.664220416e+02 5.5e-12 19.51 107 8.6e-09 6.2e-04 5.6e-07 1.12e+00 1.664220214e+02 1.664220404e+02 5.2e-12 19.53 108 7.8e-09 5.6e-04 5.1e-07 9.52e-01 1.664220227e+02 1.664220398e+02 4.7e-12 19.60 109 7.1e-09 5.0e-04 4.6e-07 9.41e-01 1.664220238e+02 1.664220392e+02 4.2e-12 19.66 110 6.4e-09 4.5e-04 4.1e-07 9.77e-01 1.664220248e+02 1.664220387e+02 3.8e-12 19.83 111 5.8e-09 4.1e-04 3.7e-07 9.24e-01 1.664220257e+02 1.664220383e+02 3.4e-12 20.10 112 5.2e-09 3.7e-04 3.3e-07 8.82e-01 1.664220266e+02 1.664220379e+02 3.1e-12 20.32 113 4.7e-09 3.3e-04 3.0e-07 1.02e+00 1.664220274e+02 1.664220375e+02 2.8e-12 20.37 114 4.3e-09 3.0e-04 2.7e-07 8.84e-01 1.664220280e+02 1.664220372e+02 2.5e-12 20.58 115 3.9e-09 2.7e-04 2.4e-07 1.00e+00 1.664220286e+02 1.664220369e+02 2.3e-12 20.73 116 3.8e-09 2.4e-04 2.2e-07 9.15e-01 1.664220291e+02 1.664220368e+02 2.0e-12 20.87 117 3.3e-09 1.4e-05 1.3e-08 8.88e-01 1.664220340e+02 1.664220345e+02 2.2e-13 21.07 Interior-point optimizer terminated. Time: 21.08. Optimizer terminated. Time: 21.08 solsta = 1, prosta = 1 Interior-point solution summary Problem status : PRIMAL_AND_DUAL_FEASIBLE Solution status : OPTIMAL Primal. obj: 1.6642203396e+02 Viol. con: 9e-08 var: 0e+00 Dual. obj: 1.6642203445e+02 Viol. con: 0e+00 var: 1e-04 * End solution on dual form. * Transforming to primal solution. Solving took 21.1 seconds. Using solver 'mosek' Solving for 1768 variables. Number of Hessian non-zeros: 2054 * Solving exponential optimization problem on dual form. * * The following log information refers to the solution of the dual problem. * Computer Platform : MACOSX/64-X86 Cores : 4 Problem Name : Objective sense : max Type : GECO (general convex optimization problem) Constraints : 1769 Cones : 0 Scalar variables : 6131 Matrix variables : 0 Integer variables : 0 Optimizer started. Interior-point optimizer started. Presolve started. Linear dependency checker started. Linear dependency checker terminated. Eliminator started. Total number of eliminations : 933 Eliminator terminated. Eliminator started. Total number of eliminations : 943 Eliminator terminated. Eliminator - tries : 2 time : 0.00 Eliminator - elim's : 943 Lin. dep. - tries : 1 time : 0.00 Lin. dep. - number : 0 Presolve terminated. Time: 0.01 Matrix reordering started. Local matrix reordering started. Local matrix reordering terminated. Matrix reordering terminated. Optimizer - threads : 4 Optimizer - solved problem : the primal Optimizer - Constraints : 777 Optimizer - Cones : 0 Optimizer - Scalar variables : 3453 conic : 0 Optimizer - Semi-definite variables: 0 scalarized : 0 Factor - setup time : 0.17 dense det. time : 0.00 Factor - ML order time : 0.00 GP order time : 0.04 Factor - nonzeros before factor : 1.64e+04 after factor : 1.50e+05 Factor - dense dim. : 0 flops : 0.00e+00 Factor - GP saved nzs : 0 GP saved flops : 0.00e+00 ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME 0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.286056966e+05 2.000000000e+00 1.0e+00 0.19 1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.264419968e+05 3.560121422e+00 4.8e-01 0.66 2 4.3e+02 5.4e+02 2.3e+04 -9.36e-01 -1.201704519e+05 1.025024046e+01 1.8e-01 0.95 3 2.9e+02 3.7e+02 1.6e+04 -8.38e-01 -1.154695689e+05 6.471581522e+01 1.2e-01 1.11 4 2.8e+02 3.6e+02 1.6e+04 -7.58e-01 -1.128250827e+05 2.298174797e+03 1.2e-01 1.39 5 7.5e+01 9.6e+01 4.1e+03 -7.51e-01 -7.433522336e+04 9.779647516e+03 3.3e-02 1.52 6 3.0e+01 3.9e+01 1.7e+03 -1.89e-01 -4.033412343e+04 1.028458950e+04 1.3e-02 1.71 7 1.8e+01 2.3e+01 1.0e+03 3.97e-01 -2.709321871e+04 6.722348915e+03 7.9e-03 1.84 8 9.5e+00 1.2e+01 5.2e+02 6.30e-01 -1.525035783e+04 3.846199954e+03 4.2e-03 1.89 9 3.2e+00 4.2e+00 1.8e+02 8.18e-01 -5.232964608e+03 1.674987811e+03 1.4e-03 2.08 10 1.6e+00 2.0e+00 8.9e+01 9.56e-01 -2.390241585e+03 1.063634514e+03 7.1e-04 2.22 11 1.0e+00 1.3e+00 5.7e+01 9.86e-01 -1.466259143e+03 7.475047311e+02 4.5e-04 2.24 12 8.8e-01 1.1e+00 4.9e+01 9.70e-01 -1.288874784e+03 6.622276042e+02 3.9e-04 2.31 13 4.9e-01 6.3e-01 2.7e+01 9.78e-01 -6.563245480e+02 4.323233589e+02 2.2e-04 2.36 14 2.7e-01 3.6e-01 1.5e+01 1.00e+00 -2.904866716e+02 3.188344973e+02 1.2e-04 2.40 15 9.8e-02 1.5e-01 5.6e+00 9.99e-01 -1.147442668e+01 2.095880207e+02 4.5e-05 2.76 16 8.0e-02 1.2e-01 4.6e+00 1.02e+00 2.726988382e+01 2.073886928e+02 3.7e-05 2.98 17 6.4e-02 9.6e-02 3.6e+00 1.02e+00 5.585473383e+01 1.980629226e+02 2.9e-05 3.24 18 1.9e-02 8.9e-02 1.1e+00 1.02e+00 1.333640382e+02 1.765179861e+02 9.0e-06 3.40 19 6.2e-03 1.9e-01 3.6e-01 1.02e+00 1.561708140e+02 1.700461459e+02 2.9e-06 3.61 20 3.4e-03 2.2e-01 2.0e-01 1.01e+00 1.606060565e+02 1.683291834e+02 1.6e-06 3.74 21 1.0e-03 1.4e-01 6.1e-02 1.01e+00 1.647157200e+02 1.670479584e+02 5.0e-07 4.09 22 7.2e-04 1.1e-01 4.4e-02 9.90e-01 1.651970002e+02 1.668797058e+02 3.6e-07 4.41 23 2.1e-04 1.1e-01 1.3e-02 9.87e-01 1.660532813e+02 1.665562434e+02 1.1e-07 4.47 24 9.9e-05 9.0e-02 6.4e-03 1.01e+00 1.662388651e+02 1.664809859e+02 5.3e-08 4.50 25 4.0e-05 8.7e-02 2.6e-03 1.01e+00 1.663396806e+02 1.664378250e+02 2.2e-08 4.52 26 3.6e-05 8.0e-02 2.3e-03 1.01e+00 1.663476225e+02 1.664359875e+02 2.0e-08 4.55 27 3.2e-05 7.3e-02 2.1e-03 1.01e+00 1.663536575e+02 1.664331582e+02 1.8e-08 4.91 28 2.9e-05 6.6e-02 1.9e-03 1.01e+00 1.663591816e+02 1.664307143e+02 1.6e-08 5.12 29 2.6e-05 6.0e-02 1.7e-03 1.01e+00 1.663641283e+02 1.664284923e+02 1.4e-08 5.24 30 2.4e-05 5.5e-02 1.5e-03 1.01e+00 1.663685736e+02 1.664264886e+02 1.3e-08 5.36 31 2.1e-05 5.0e-02 1.4e-03 1.01e+00 1.663725665e+02 1.664246797e+02 1.2e-08 5.50 32 1.9e-05 4.6e-02 1.2e-03 1.00e+00 1.663761538e+02 1.664230472e+02 1.0e-08 5.63 33 1.7e-05 4.2e-02 1.1e-03 1.00e+00 1.663793769e+02 1.664215740e+02 9.4e-09 5.86 34 1.5e-05 3.9e-02 1.0e-03 1.00e+00 1.663822730e+02 1.664202446e+02 8.5e-09 6.05 35 1.4e-05 3.6e-02 9.1e-04 1.00e+00 1.663848754e+02 1.664190453e+02 7.6e-09 6.28 36 1.3e-05 3.3e-02 8.2e-04 1.00e+00 1.663872142e+02 1.664179633e+02 6.9e-09 6.51 37 1.1e-05 3.0e-02 7.3e-04 1.00e+00 1.663893163e+02 1.664169873e+02 6.2e-09 6.65 38 1.0e-05 2.8e-02 6.6e-04 1.00e+00 1.663912057e+02 1.664161071e+02 5.6e-09 6.71 39 9.1e-06 2.6e-02 5.9e-04 1.00e+00 1.663929040e+02 1.664153133e+02 5.0e-09 6.74 40 8.2e-06 2.4e-02 5.4e-04 1.00e+00 1.663944308e+02 1.664145975e+02 4.5e-09 6.76 41 7.4e-06 2.3e-02 4.8e-04 1.00e+00 1.663958035e+02 1.664139522e+02 4.0e-09 6.78 42 6.7e-06 2.1e-02 4.3e-04 1.00e+00 1.663970377e+02 1.664133704e+02 3.6e-09 6.80 43 6.0e-06 2.0e-02 3.9e-04 1.00e+00 1.663981474e+02 1.664128460e+02 3.3e-09 6.81 44 5.4e-06 1.9e-02 3.5e-04 1.00e+00 1.663991452e+02 1.664123733e+02 3.0e-09 6.82 45 4.9e-06 1.8e-02 3.2e-04 1.00e+00 1.664000425e+02 1.664119472e+02 2.7e-09 7.16 46 4.4e-06 1.7e-02 2.8e-04 1.00e+00 1.664008495e+02 1.664115632e+02 2.4e-09 7.40 47 3.9e-06 1.6e-02 2.6e-04 1.00e+00 1.664015751e+02 1.664112171e+02 2.2e-09 7.52 48 3.5e-06 1.5e-02 2.3e-04 1.00e+00 1.664022277e+02 1.664109052e+02 1.9e-09 7.66 49 3.2e-06 1.4e-02 2.1e-04 1.00e+00 1.664028145e+02 1.664106241e+02 1.7e-09 7.89 50 2.9e-06 1.4e-02 1.9e-04 1.00e+00 1.664033423e+02 1.664103708e+02 1.6e-09 8.06 51 2.6e-06 1.3e-02 1.7e-04 1.00e+00 1.664038170e+02 1.664101425e+02 1.4e-09 8.40 52 2.3e-06 1.3e-02 1.5e-04 1.00e+00 1.664042440e+02 1.664099369e+02 1.3e-09 8.56 53 2.1e-06 1.2e-02 1.4e-04 1.00e+00 1.664046282e+02 1.664097517e+02 1.1e-09 8.81 54 1.9e-06 1.2e-02 1.2e-04 1.00e+00 1.664049738e+02 1.664095848e+02 1.0e-09 8.99 55 1.7e-06 1.1e-02 1.1e-04 1.00e+00 1.664052847e+02 1.664094346e+02 9.3e-10 9.00 56 1.5e-06 1.1e-02 9.9e-05 1.00e+00 1.664055644e+02 1.664092993e+02 8.3e-10 9.01 57 1.4e-06 1.1e-02 8.9e-05 1.00e+00 1.664058161e+02 1.664091774e+02 7.5e-10 9.03 58 1.2e-06 1.0e-02 8.0e-05 1.00e+00 1.664060425e+02 1.664090677e+02 6.8e-10 9.07 59 1.1e-06 1.0e-02 7.2e-05 1.00e+00 1.664062462e+02 1.664089689e+02 6.1e-10 9.10 60 1.0e-06 9.8e-03 6.5e-05 1.00e+00 1.664064295e+02 1.664088799e+02 5.5e-10 9.12 61 9.0e-07 9.6e-03 5.9e-05 1.00e+00 1.664065944e+02 1.664087998e+02 4.9e-10 9.44 62 8.1e-07 9.4e-03 5.3e-05 1.00e+00 1.664067428e+02 1.664087276e+02 4.4e-10 9.67 63 7.3e-07 9.2e-03 4.7e-05 1.00e+00 1.664068763e+02 1.664086626e+02 4.0e-10 9.79 64 6.6e-07 9.1e-03 4.3e-05 1.00e+00 1.664069964e+02 1.664086040e+02 3.6e-10 9.93 65 5.9e-07 8.9e-03 3.8e-05 1.00e+00 1.664071044e+02 1.664085513e+02 3.2e-10 10.08 66 5.3e-07 8.8e-03 3.5e-05 1.00e+00 1.664072016e+02 1.664085037e+02 2.9e-10 10.28 67 4.8e-07 8.7e-03 3.1e-05 1.00e+00 1.664072890e+02 1.664084609e+02 2.6e-10 10.56 68 4.3e-07 8.6e-03 2.8e-05 1.00e+00 1.664073676e+02 1.664084223e+02 2.4e-10 10.67 69 3.9e-07 8.5e-03 2.5e-05 1.00e+00 1.664074383e+02 1.664083876e+02 2.1e-10 10.83 70 3.5e-07 8.4e-03 2.3e-05 1.00e+00 1.664075019e+02 1.664083563e+02 1.9e-10 11.12 71 3.1e-07 8.3e-03 2.0e-05 1.00e+00 1.664075592e+02 1.664083281e+02 1.7e-10 11.19 72 2.8e-07 8.3e-03 1.8e-05 1.00e+00 1.664076107e+02 1.664083027e+02 1.5e-10 11.23 73 2.5e-07 8.2e-03 1.7e-05 1.00e+00 1.664076570e+02 1.664082798e+02 1.4e-10 11.25 74 2.3e-07 8.1e-03 1.5e-05 1.00e+00 1.664076987e+02 1.664082592e+02 1.3e-10 11.27 75 2.1e-07 8.1e-03 1.3e-05 1.00e+00 1.664077362e+02 1.664082406e+02 1.1e-10 11.36 76 1.9e-07 8.0e-03 1.2e-05 1.00e+00 1.664077699e+02 1.664082239e+02 1.0e-10 11.59 77 1.7e-07 8.0e-03 1.1e-05 1.00e+00 1.664078003e+02 1.664082089e+02 9.1e-11 11.83 78 1.5e-07 7.9e-03 9.8e-06 1.00e+00 1.664078277e+02 1.664081954e+02 8.2e-11 12.21 79 1.4e-07 7.9e-03 8.8e-06 1.00e+00 1.664078522e+02 1.664081832e+02 7.4e-11 12.46 80 1.2e-07 7.9e-03 7.9e-06 9.99e-01 1.664078744e+02 1.664081722e+02 6.7e-11 12.65 81 1.1e-07 7.8e-03 7.1e-06 9.99e-01 1.664078943e+02 1.664081624e+02 6.0e-11 12.82 82 9.9e-08 7.8e-03 6.4e-06 9.99e-01 1.664079122e+02 1.664081535e+02 5.4e-11 13.05 83 8.9e-08 7.8e-03 5.8e-06 1.00e+00 1.664079284e+02 1.664081454e+02 4.9e-11 13.21 84 8.0e-08 7.0e-03 5.2e-06 1.01e+00 1.664079431e+02 1.664081381e+02 4.4e-11 13.43 85 7.2e-08 6.3e-03 4.7e-06 1.00e+00 1.664079562e+02 1.664081316e+02 3.9e-11 13.46 86 6.5e-08 5.7e-03 4.2e-06 1.00e+00 1.664079679e+02 1.664081258e+02 3.5e-11 13.48 87 5.8e-08 5.1e-03 3.8e-06 1.00e+00 1.664079785e+02 1.664081205e+02 3.2e-11 13.50 88 5.2e-08 4.6e-03 3.4e-06 1.01e+00 1.664079884e+02 1.664081156e+02 2.9e-11 13.56 89 4.7e-08 4.1e-03 3.1e-06 1.01e+00 1.664079971e+02 1.664081112e+02 2.6e-11 13.57 90 4.2e-08 3.7e-03 2.8e-06 1.00e+00 1.664080048e+02 1.664081074e+02 2.3e-11 13.59 91 3.8e-08 3.3e-03 2.5e-06 9.82e-01 1.664080116e+02 1.664081041e+02 2.1e-11 14.01 92 3.4e-08 3.0e-03 2.2e-06 1.00e+00 1.664080178e+02 1.664081010e+02 1.9e-11 14.22 93 3.1e-08 2.7e-03 2.0e-06 9.87e-01 1.664080233e+02 1.664080983e+02 1.7e-11 14.46 94 2.8e-08 2.4e-03 1.8e-06 9.98e-01 1.664080283e+02 1.664080958e+02 1.5e-11 14.61 95 2.5e-08 2.2e-03 1.6e-06 9.86e-01 1.664080328e+02 1.664080936e+02 1.4e-11 14.84 96 2.3e-08 2.0e-03 1.5e-06 1.05e+00 1.664080378e+02 1.664080910e+02 1.3e-11 15.00 97 2.0e-08 1.8e-03 1.3e-06 9.72e-01 1.664080414e+02 1.664080893e+02 1.1e-11 15.22 98 1.8e-08 1.6e-03 1.2e-06 9.56e-01 1.664080445e+02 1.664080877e+02 1.0e-11 15.49 99 1.6e-08 1.4e-03 1.1e-06 9.71e-01 1.664080474e+02 1.664080864e+02 9.3e-12 15.75 100 1.5e-08 1.3e-03 9.6e-07 9.89e-01 1.664080500e+02 1.664080851e+02 8.4e-12 15.82 101 1.3e-08 1.2e-03 8.7e-07 9.69e-01 1.664080523e+02 1.664080839e+02 7.5e-12 16.18 102 1.2e-08 1.1e-03 7.8e-07 1.04e+00 1.664080548e+02 1.664080826e+02 6.9e-12 16.36 103 1.1e-08 9.5e-04 7.0e-07 1.01e+00 1.664080568e+02 1.664080817e+02 6.3e-12 16.60 104 9.8e-09 8.5e-04 6.3e-07 9.84e-01 1.664080584e+02 1.664080808e+02 5.6e-12 16.84 105 8.9e-09 7.7e-04 5.7e-07 9.42e-01 1.664080599e+02 1.664080801e+02 5.1e-12 17.09 106 8.0e-09 6.9e-04 5.1e-07 9.99e-01 1.664080613e+02 1.664080795e+02 4.6e-12 17.47 107 7.5e-09 6.2e-04 4.6e-07 1.13e+00 1.664080632e+02 1.664080784e+02 4.4e-12 17.59 108 7.0e-09 5.6e-04 4.1e-07 1.21e+00 1.664080652e+02 1.664080772e+02 4.4e-12 17.77 109 6.5e-09 5.0e-04 3.7e-07 1.43e+00 1.664080660e+02 1.664080768e+02 3.9e-12 17.91 110 6.1e-09 4.5e-04 3.4e-07 1.05e+00 1.664080669e+02 1.664080763e+02 3.6e-12 18.01 111 5.3e-09 4.1e-04 3.0e-07 8.54e-01 1.664080676e+02 1.664080761e+02 3.3e-12 18.03 112 5.7e-09 3.7e-04 2.7e-07 9.50e-01 1.664080680e+02 1.664080762e+02 2.9e-12 18.04 113 5.7e-09 3.3e-04 2.4e-07 8.73e-01 1.664080685e+02 1.664080760e+02 2.7e-12 18.14 114 4.9e-09 3.0e-04 2.2e-07 9.18e-01 1.664080690e+02 1.664080757e+02 2.4e-12 18.51 115 5.2e-09 2.7e-04 2.0e-07 1.03e+00 1.664080695e+02 1.664080756e+02 2.2e-12 18.74 116 4.7e-09 2.4e-04 1.8e-07 9.98e-01 1.664080699e+02 1.664080754e+02 2.0e-12 18.88 117 4.4e-09 2.2e-04 1.6e-07 1.03e+00 1.664080702e+02 1.664080752e+02 1.8e-12 19.14 118 4.0e-09 1.9e-04 1.4e-07 1.04e+00 1.664080706e+02 1.664080749e+02 1.6e-12 19.30 119 4.9e-09 1.8e-04 1.3e-07 1.20e+00 1.664080710e+02 1.664080745e+02 1.6e-12 19.51 120 5.2e-09 3.6e-05 2.7e-08 8.29e-01 1.664080729e+02 1.664080737e+02 3.8e-13 19.76 Interior-point optimizer terminated. Time: 19.77. Optimizer terminated. Time: 19.77 solsta = 1, prosta = 1 Interior-point solution summary Problem status : PRIMAL_AND_DUAL_FEASIBLE Solution status : OPTIMAL Primal. obj: 1.6640807294e+02 Viol. con: 1e-07 var: 0e+00 Dual. obj: 1.6640807367e+02 Viol. con: 0e+00 var: 2e-04 * End solution on dual form. * Transforming to primal solution. Solving took 19.8 seconds. Solving took 9 GP solves and 143 seconds. Solves with these variables bounded: value near lower bound: Mission.CruiseAlt value near upper bound: Mission.Aircraft.HorizontalTail.WingBox.M_{r_{out}}, Mission.Aircraft.Engine.Thrust.\alpha_{max}, Mission.Aircraft.Wing.WingNoStruct.A_{tri}, Mission.TotalTime, Mission.Aircraft.LandingGear.d_{nacelle}, Mission.T_{t_{4.1_{max-Cruise}}} Checking for relaxed constants... Solution check warning: Primal solution computed cost did not match solver-returned cost: 1.4957407141584597e+110 vs 1.49570249308e+110 GP iteration 0 has relaxed constants Cost ---- 1.496e+110 Free Variables -------------- | Mission.Aircraft.Engine.Turbine.Relax C_{p_{t2}} : 2.251 Cp Value for Combustion Products in LP Turbine | Mission.Aircraft.Fuselage.Relax l_{nose} : 1.042 Nose length n_{pass} : [ 2.86 ] Number of passengers | Mission.Aircraft.Relax f_{L_{total/wing}} : 1.656 Total lift as a percentage of wing lift | Mission.Aircraft.Wing.WingNoStruct.Relax \tan(\Lambda) : 1.133 Tangent of quarter-chord sweep angle | Mission.FlightState.Atmosphere.Relax L_{atm} : [ 1.77 1 1 1 1 ] Temperature lapse rate T_{sl} : [ 1 1 1.25 1 1 ] Temperature at sea level | Mission.Relax R_{req} : 2.362 Required Cruise Range GP iteration 1 has relaxed constants Cost ---- 7.486e+74 Free Variables -------------- | Mission.Aircraft.Engine.Combustor.Relax hold_{4a} : 1.093 1+(gamma-1)/2 * M_4a**2 | Mission.Aircraft.Fuselage.Relax n_{pass} : [ 1.03 ] Number of passengers | Mission.Aircraft.LandingGear.Relax h_{hold} : 1.006 Hold height Solution check warning: Primal solution computed cost did not match solver-returned cost: 3.70532257759157e+72 vs 3.70519059995e+72 WEIGHT DIFFERENCES Total Fuel Weight Percent Diff: [-92.94682573] Total Aircraft Weight Percent Diff: [-21.48055419] Engine Weight Percent Diff: -56.27828471381007 Fuselage Weight Percent Diff: -0.8697479151903987 Payload Weight Percent Diff: [-0.04003561] VT Weight Percent Diff: -8.607935067734152 HT Weight Percent Diff: -93.23334845099811 Wing Weight Percent Diff: 8.267643945812411 WING DIFFERENCES Wing Span Percent Diff: -0.029992743588034006 Wing Area Percent Diff: 32.89931864757703 HORIZONTAL TAIL DIFFERENCES HT Area Percent Diff: 40.487916211714094 VERTICAL TAIL DIFFERENCES VT Span Percent Diff: -11.022348070596058 VT Area Percent Diff: -60.38684243647508 CRUISE SEGMENT 1 DRAG DIFFERENCES Overall Cd Percent Diff: [-18.54706212] L/D Percent Diff: [24.01025552] Nacelle Cd Percent Diff: [-94.27640962] HT Cd Percent Diff: [-80.76944943] dimensionless Fuselage Cd Percent Diff: [108.78752887] VT Cd Percent Diff: [-58.00279184] dimensionless Wing Cd percent Diff: [-14.22898174] Induced Drag Cd Percent Diff: [1.21950954] CRUISE SEGMENT 1 TSFC DIFFERENCES Initial Cruise TSFC Percent Diff: [-90.57035671] FUSELAGE DIFFERENCES Weight of HB material: -38.36164183140928 Weight of VB material: 87.81465303524497 Fan Propulsive Efficiency in Cruise Segment 1 --------------------- [0.7126051] Mission1 ======== Cost ---- W_{f_{total}}[:].sum() Constraints ----------- W_{buoy}[:] >= \rho_{cabin}[:]*9.81*V_{cabin} PRFC[:] = W_{f_{primary}}[:]/9.81*h_{f}/(R_{req}*W_{payload}[:]) x_{CG}[:]*W_{avg}[:] >= x_{misc}*W_{misc} + x_{CG_{lg}}*W_{lg} + 0.5*(W_{fuse} + W_{payload}[:])*l_{fuse} + W_{ht}*x_{CG_{ht}} + W_{vt}*x_{CG_{vt}} + n_{eng}*W_{engsys}*x_{eng} + W_{wing}*(x_{wing} + \Delta x_{AC_{wing}}) + (F_{fuel}[:] + f_{fuel_{res}})*W_{f_{primary}}[:]*(x_{wing} + \Delta x_{AC_{wing}}*F_{fuel}[:]) x_{CG}[3] <= \Delta x_n + x_n \Delta x_m + x_{CG}[3] >= x_m \tan(\phi)*(z_{CG} + l_m) + x_{CG}[3] <= x_m C_{D_{fuse}}[:] = 0.018081 M_{fuseD} = 0.72 W_{start}[0] = W_{total}[:] W_{start}[:] >= W_{end}[:] + W_{burn}[:] W_{start}[1:] = W_{end}[:4] W_{dry}[:] + W_{payload}[:] + f_{fuel_{res}}*W_{f_{primary}}[:] <= W_{end}[-1] W_{f_{climb}}[:] >= 0 + W_{burn}[:3][0] + W_{burn}[:3][1] + W_{burn}[:3][2] W_{f_{cruise}}[:] >= 0 + W_{burn}[3:][0] + W_{burn}[3:][1] hft[2] >= CruiseAlt hft[1:5] = hft[:4] + dhft[1:5] hft[0] = dhft[0] dhft[1:3] = dhft[:2] RC[0] >= 2.5e+03 RC[:3] >= RC_{min}[:3] \theta[2] >= 0.015 hft[2] >= MinCruiseAlt n_{eng}*F[:] >= D[:] + W_{avg}[:]*\theta[:] R_{segment}[3:4] = R_{segment}[4:5] M[3:5] >= M_{min} 0 + R_{segment}[0] + R_{segment}[1] + R_{segment}[2] + R_{segment}[3] + R_{segment}[4] >= R_{req} Fsafetyfac*F[0] = T_e W_{burn}[:] = n_{eng}*TSFC[:]*thr[:]*F[:] V_2[:] = M_2[:]*a[:] \alpha_{max,w}[:3] = 0.18 \alpha_{max,w}[3:] = 0.1 0 + thr[0] + thr[1] + thr[2] + thr[3] + thr[4] <= TotalTime 0 + thr[:3][0] + thr[:3][1] + thr[:3][2] <= ClimbTime ClimbTime <= MaxClimbTime T_{t_{4.1}}[3:] <= T_{t_{4.1_{max-Cruise}}} F_{fuel}[0] >= (0 + W_{burn}[1:][0] + W_{burn}[1:][1] + W_{burn}[1:][2] + W_{burn}[1:][3] + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:] F_{fuel}[:] <= 1.0000001 F_{fuel}[1] >= (0 + W_{burn}[2:][0] + W_{burn}[2:][1] + W_{burn}[2:][2] + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:] F_{fuel}[:] <= 1.0000001 F_{fuel}[2] >= (0 + W_{burn}[3:][0] + W_{burn}[3:][1] + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:] F_{fuel}[:] <= 1.0000001 F_{fuel}[3] >= (0 + W_{burn}[4:][0] + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:] F_{fuel}[:] <= 1.0000001 F_{fuel}[4] >= (0 + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:] F_{fuel}[:] <= 1.0000001 OPR[:] <= OPR_{max} Aircraft Fuselage W_{lugg}[:] >= f_{lugg,2}*n_{pass}[:]*2*W_{checked} + f_{lugg,1}*n_{pass}[:]*W_{checked} + W_{carry on} W_{pass}[:] >= n_{pass}[:]*W_{avg. pass} W_{payload}[:] >= W_{pass}[:] + W_{lugg}[:] + W_{cargo} W_{payload}[:] >= n_{pass}[:]*W_{avg. pass_{total}} W_{payload}[:] <= W_{payload_{max}} n_{pass}[:] <= n_{seat} n_{rows} = n_{seat}/SPR l_{shell} = n_{rows}*p_s \theta_{db} = w_{db}/R_{fuse} R_{fuse}*(1 - 0.5*\theta_{db}^2) <= h_{db} A_{db} >= (2*h_{db} + \Delta R_{fuse})*t_{db} (PI + 2*\theta_{db} + 2*\theta_{db}*(1 - \theta_{db}^2/2))*R_{fuse}^2 + 2*\Delta R_{fuse}*R_{fuse} <= A_{fuse} A_{skin} >= (2PI + 4*\theta_{db})*R_{fuse}*t_{skin} + 2*\Delta R_{fuse}*t_{skin} w_{floor} = w_{fuse} R_{fuse} + w_{db} >= w_{fuse} h_{fuse} = R_{fuse} + 0.5*\Delta R_{fuse} t_{skin}*(1 + r_E*f_{string}*\rho_{skin}/\rho_{bend}) >= t_{shell} S_{nose} >= (2PI + 4*\theta_{db})*R_{fuse}^2 S_{bulk} >= (2PI + 4*\theta_{db})*R_{fuse}^2 l_{fuse} = l_{nose} + l_{shell} + l_{cone} l_{cone} = R_{fuse}/\lambda_{cone} x_{shell1} = l_{nose} x_{shell2} >= l_{nose} + l_{shell} t_{skin} = \Delta P_{over}*R_{fuse}/\sigma_{skin} t_{db} = 2*\Delta P_{over}*w_{db}/\sigma_{skin} \sigma_x = \Delta P_{over}*R_{fuse}/(2*t_{shell}) \sigma_{\theta} = \Delta P_{over}*R_{fuse}/t_{skin} l_{floor} >= l_{shell} + 2*R_{fuse} P_{floor} >= N_{land}*(W_{payload_{max}} + W_{seat}) A_{floor} >= 2*M_{floor}/(\sigma_{floor}*h_{floor}) + 1.5*S_{floor}/\tau_{floor} V_{floor} = 2*w_{floor}*A_{floor} W_{floor} >= \rho_{floor}*g*V_{floor} + 2*w_{floor}*l_{floor}*W''_{floor} \tau_{cone} = \sigma_{skin} W_{cone} >= \rho_{cone}*g*V_{cone}*(1 + f_{string} + f_{frame}) x_{tail} >= l_{nose} + l_{shell} + 0.5*l_{cone} -2*R_{fuse}^2*\Delta R_{fuse}*\theta_{db}^2*t_{shell} + 1.57*R_{fuse}*\Delta R_{fuse}^2*t_{shell} + 3.14*R_{fuse}^3*t_{shell} + 4*R_{fuse}^2*\Delta R_{fuse}*t_{shell} + 4*R_{fuse}^3*\theta_{db}*t_{shell} + R_{fuse}*\Delta R_{fuse}^2*\theta_{db}*t_{shell} >= I_{h_{shell}} (PI*R_{fuse}^2 + 8*w_{db}*R_{fuse} + (2PI + 4*\theta_{db})*w_{db}^2)*R_{fuse}*t_{shell} >= I_{v_{shell}} x_{hbend_{Land}} >= x_{wing} x_{hbend_{Land}} <= l_{fuse} x_{hbend_{MLF}} >= x_{wing} x_{hbend_{MLF}} <= l_{fuse} A_{0h} = A_{2h_{Land}}*(x_{shell2} - x_{hbend_{Land}})^0 + A_{1h_{Land}}*(x_{tail} - x_{hbend_{Land}}) A_{0h} = A_{2h_{MLF}}*(x_{shell2} - x_{hbend_{MLF}})^0 + A_{1h_{MLF}}*(x_{tail} - x_{hbend_{MLF}}) A_{2h_{Land}} >= N_{land}*(W_{payload_{max}} + W_{padd} + W_{shell} + W_{window} + W_{insul} + W_{floor} + W_{seat})/(2*l_{shell}*h_{fuse}*\sigma_{M_h}) A_{2h_{MLF}} >= Mission1.Aircraft.Fuselage.N_{lift}*(W_{payload_{max}} + W_{padd} + W_{shell} + W_{window} + W_{insul} + W_{floor} + W_{seat})/(2*l_{shell}*h_{fuse}*\sigma_{M_h}) A_{0h} = I_{h_{shell}}/(r_E*h_{fuse}^2) A_{2h_{Land}}*(x_{shell2} - x_f)^0 + A_{1h_{Land}}*(x_{tail} - x_f) - A_{0h} <= A_{hbendf_{Land}} A_{2h_{MLF}}*(x_{shell2} - x_f)^0 + A_{1h_{MLF}}*(x_{tail} - x_f) - A_{0h} <= A_{hbendf_{MLF}} A_{2h_{Land}}*(x_{shell2} - x_b)^0 + A_{1h_{Land}}*(x_{tail} - x_b) - A_{0h} <= A_{hbendb_{Land}} A_{2h_{MLF}}*(x_{shell2} - x_b)^0 + A_{1h_{MLF}}*(x_{tail} - x_b) - A_{0h} <= A_{hbendb_{MLF}} A_{2h_{Land}}/3*(x_{shell2} - x_f)^0 - (x_{shell2} - x_{hbend_{Land}})^0 + A_{1h_{Land}}/2*(x_{tail} - x_f)^0 - (x_{tail} - x_{hbend_{Land}})^0 - A_{0h}*(x_{hbend_{Land}} - x_f) <= V_{hbend_{f}} A_{2h_{MLF}}/3*(x_{shell2} - x_f)^0 - (x_{shell2} - x_{hbend_{MLF}})^0 + A_{1h_{MLF}}/2*(x_{tail} - x_f)^0 - (x_{tail} - x_{hbend_{MLF}})^0 - A_{0h}*(x_{hbend_{MLF}} - x_f) <= V_{hbend_{f}} A_{2h_{Land}}/3*(x_{shell2} - x_b)^0 - (x_{shell2} - x_{hbend_{Land}})^0 + A_{1h_{Land}}/2*(x_{tail} - x_b)^0 - (x_{tail} - x_{hbend_{Land}})^0 - A_{0h}*(x_{hbend_{Land}} - x_b) <= V_{hbend_{b}} A_{2h_{MLF}}/3*(x_{shell2} - x_b)^0 - (x_{shell2} - x_{hbend_{MLF}})^0 + A_{1h_{MLF}}/2*(x_{tail} - x_b)^0 - (x_{tail} - x_{hbend_{MLF}})^0 - A_{0h}*(x_{hbend_{MLF}} - x_b) <= V_{hbend_{b}} V_{hbend_{c}} >= 0.5*(A_{hbendf_{Land}} + A_{hbendb_{Land}})*c_0*Mission1.Aircraft.Fuselage.r_{w/c} V_{hbend_{c}} >= 0.5*(A_{hbendf_{MLF}} + A_{hbendb_{MLF}})*c_0*Mission1.Aircraft.Fuselage.r_{w/c} V_{hbend} >= V_{hbend_{c}} + V_{hbend_{f}} + V_{hbend_{b}} W_{hbend} >= g*\rho_{bend}*V_{hbend} x_{vbend} >= x_{wing} x_{vbend} <= l_{fuse} B_{0v} = B_{1v}*(x_{tail} - x_{vbend}) B_{0v} = I_{v_{shell}}/(r_E*w_{fuse}^2) B_{1v}*(x_{tail} - x_b) - B_{0v} <= A_{vbend_{b}} 0.5*B_{1v}*(x_{tail} - x_b)^0 - (x_{tail} - x_{vbend})^0 - B_{0v}*(x_{vbend} - x_b) <= V_{vbend_{b}} V_{vbend_{c}} >= 0.5*A_{vbend_{b}}*c_0*Mission1.Aircraft.Fuselage.r_{w/c} V_{vbend} >= V_{vbend_{b}} + V_{vbend_{c}} W_{vbend} >= \rho_{bend}*g*V_{vbend} x_f = x_{wing} + 0.5*c_0*Mission1.Aircraft.Fuselage.r_{w/c} x_b = x_{wing} - 0.5*c_0*Mission1.Aircraft.Fuselage.r_{w/c} \sigma_{bend} - r_E*\Delta P_{over}/2*R_{fuse}/t_{shell} >= \sigma_{M_h} \sigma_{bend} - r_E*\Delta P_{over}/2*R_{fuse}/t_{shell} >= \sigma_{M_v} V_{cyl} = A_{skin}*l_{shell} V_{nose} = S_{nose}*t_{skin} V_{bulk} = S_{bulk}*t_{skin} V_{db} = A_{db}*l_{shell} V_{cabin} >= A_{fuse}*(l_{shell} + 0.67*l_{nose} + 0.67*R_{fuse}) W_{apu} = W_{payload_{max}}*f_{apu} W_{db} = \rho_{skin}*g*V_{db} W_{insul} >= W''_{insul}*(3.46 + 2*\theta_{db})*R_{fuse}*l_{shell} + 0.55*(S_{nose} + S_{bulk}) W_{window} >= W'_{window}*l_{shell} W_{padd} = W_{payload_{max}}*f_{padd} W_{seat} >= W'_{seat}*n_{seat} W_{seat} >= f_{seat}*W_{payload_{max}} W_{skin} >= \rho_{skin}*g*(V_{cyl} + V_{nose} + V_{bulk}) W_{shell} >= W_{skin}*(1 + f_{string} + f_{fadd} + f_{frame}) + W_{db} W_{fuse} >= C_{fuse}*(W_{shell} + W_{floor} + W_{insul} + W_{apu} + W_{fix} + W_{window} + W_{padd} + W_{seat} + W_{hbend} + W_{vbend} + W_{cone}) Wing WingNoStruct A_{rect} = c_{tip}*b 0.5*(1 - \lambda)*c_{root}*b <= A_{tri} p >= 1 + 2*\lambda 2*q >= 1 + p y_{mac} = b/3*q/p mac >= 0.667*(1 + \lambda + \lambda^2)*c_{root}/q \lambda = c_{tip}/c_{root} S = b*(c_{root} + c_{tip})/2 0.0524*\lambda^4 - 0.15*\lambda^3 + 0.166*\lambda^2 - 0.0706*\lambda + 0.0119 <= f(\lambda_w) e*(1 + f(\lambda_w)*AR) <= 1 \lambda >= 0.15 V_{fuel, max} <= 0.303*mac^2*b*\tau W_{fuel_{wing}} <= \rho_{fuel}*V_{fuel, max}*g b <= b_{max} WingBox AR = b^2/S 0.423*Mission1.Aircraft.Wing.WingBox.r_{w/c}*\tau^2*t_{cap} >= 0.92*Mission1.Aircraft.Wing.WingBox.r_{w/c}*\tau*t_{cap}^2 + I_{cap} \nu^3.94 >= 0.86*p^-2.38 + 0.14*p^0.56 W_{web} >= 8*\rho_{web}*g*r_h*\tau*t_{web}*S^1.5*\nu/(3*AR^0.5) \tau <= \tau_{max_w} W_{struct} >= W_{web} + W_{cap} AR*L_{max}*q^2/(\tau*S*t_{web}*\sigma_{max,shear}) <= 12 W_{cap} >= 8*\rho_{cap}*g*Mission1.Aircraft.Wing.WingBox.r_{w/c}*t_{cap}*S^1.5*\nu/(3*AR^0.5) Mission1.Aircraft.Wing.WingBox.N_{lift} = 3 Mission1.Aircraft.Wing.WingBox.M_r*AR*q^2*\tau/(S*I_{cap}*\sigma_{max}) <= 8 \lambda = taper W_{wing} >= C_{wing}*W_{struct} + W_{struct}*(f_{flap} + f_{slat} + f_{aileron} + f_{lete} + f_{ribs} + f_{spoiler} + f_{watt}) 0.0417*(c_{root} + 5*c_{tip})/S*b^2*\tan(\Lambda) >= \Delta x_{AC_{wing}} Engine Compressor (no constraints) Combustor (no constraints) Turbine (no constraints) Thrust (no constraints) FanMap (no constraints) LPCMap (no constraints) HPCMap (no constraints) Sizing A_{2} >= A_{5} + A_{7} FlightState V[:] = V[:] a[:] = (\gamma[:]*R[:]*T_{atm}[:])^0.5 V[:] = M[:]*a[:] Altitude h[:] = hft[:] Atmosphere (P_{atm}[:]/p_{sl}[:])^0.190222560396 = T_{atm}[:]/T_{sl}[:] \rho[:] = P_{atm}[:]/(R_{atm}[:]/M_{atm}[:]*T_{atm}[:]) T_{sl}[:] = T_{atm}[:] + L_{atm}[:]*h[:] \mu[:] = C_1[:]*T_{atm}[:]^1.5/(6.64*T_s[:]^0.72) EnginePerformance CompressorPerformance T_{t_0}[:] = T_{atm}[:]/c1[:]^-1 h_{t_0}[:] = C_{p_{air}*T_{t_0}[:] P_{t_{1.8}}[:] = \pi_{d}*P_{t_0}[:] T_{t_{1.8}}[:] = T_{t_0}[:] h_{t_{1.8}}[:] = h_{t_0}[:] P_{t_0}[:] = f_{BLI_{P}}*P_{atm}[:]/c1[:]^-3.5 T_{T_{2}}[:] = T_{t_{1.8}}[:] h_{T_{2}}[:] = h_{t_{1.8}}[:] P_{T_{2}}[:] = P_{t_{1.8}}[:] P_{t_{2.1}}[:] = \pi_{f}[:]*P_{T_{2}}[:] T_{t_{2.1}}[:] = T_{T_{2}}[:]*\pi_{f}[:]^0.307767877016 h_{t_{2.1}}[:] = C_{p_{air}*T_{t_{2.1}}[:] P_{t_7}[:] = \pi_{fn}*P_{t_{2.1}}[:] T_{t_7}[:] = T_{t_{2.1}}[:] h_{t_7}[:] = h_{t_{2.1}}[:] P_{t_{2.5}}[:] = \pi_{lc}[:]*\pi_{f}[:]*P_{T_{2}}[:] T_{t_{2.5}}[:] = T_{T_{2}}[:]*(\pi_{f}[:]*\pi_{lc}[:])^0.309448280152 h_{t_{2.5}}[:] = T_{t_{2.5}}[:]*C_{p_{1} P_{t_3}[:] = \pi_{hc}[:]*P_{t_{2.5}}[:] T_{t_3}[:] = T_{t_{2.5}}[:]*\pi_{hc}[:]^0.293761306491 h_{t_3}[:] = C_{p_{2}*T_{t_3}[:] CombustorPerformance h_{t_4}[:] = C_{p_{c}}*T_{t_4}[:] h_{t_{4.1}}[:] = C_{p_{c}}*T_{t_{4.1}}[:] fp1[:] = f[:] + 1 M_{4a}[:] = 0.1025 fp1[:]*u_{4.1}[:] = (u_{4a}[:]*fp1[:]*\alpha_c*u_c[:])^0.5 T_{4.1}[:] <= [[T_{t_{4.1}}[0,0] - u_{4.1}[0,0]^2*0.5/C_{p_{c}}], [T_{t_{4.1}}[1,0] - u_{4.1}[1,0]^2*0.5/C_{p_{c}}], [T_{t_{4.1}}[2,0] - u_{4.1}[2,0]^2*0.5/C_{p_{c}}], [T_{t_{4.1}}[3,0] - u_{4.1}[3,0]^2*0.5/C_{p_{c}}], [T_{t_{4.1}}[4,0] - u_{4.1}[4,0]^2*0.5/C_{p_{c}}]] P_{t_{4.1}}[:] = P_{4a}[:]*(T_{t_{4.1}}[:]/T_{4.1}[:])^-4.19488817891 u_{4a}[:] = M_{4a}[:]*(1.31*Mission1.Aircraft.Engine.EngineConstants.R*T_{t_4}[:])^0.5/hold_{4a} u_c[:] = r_{uc}*u_{4a}[:] P_{4a}[:] = P_{t_4}[:]*hold_{4a}^4.19488817891 TurbinePerformance h_{t_{4.5}}[:] = C_{p_{t1}}*T_{t_{4.5}}[:] P_{t_{4.9}}[:] = \pi_{LPT}[:]*P_{t_{4.5}}[:] \pi_{LPT}[:] = (T_{t_{4.9}}[:]/T_{t_{4.5}}[:])^3.5188700565 h_{t_{4.9}}[:] = C_{p_{t2}}*T_{t_{4.9}}[:] P_{t_5}[:] = \pi_{tn}*P_{t_{4.9}}[:] T_{t_5}[:] = T_{t_{4.9}}[:] h_{t_5}[:] = h_{t_{4.9}}[:] ThrustPerformance P_{8}[:] = P_{atm}[:] h_{8}[:] = C_{p_{fex}*T_{8}[:] u_{8}[:]^2 + 2*h_{8}[:] <= 2*h_{t_8}[:] (P_{8}[:]/P_{t_8}[:])^0.279019466474 = T_{8}[:]/T_{t_8}[:] h_{t_8}[:] = C_{p_{fex}*T_{t_8}[:] P_{6}[:] = P_{atm}[:] (P_{6}[:]/P_{t_6}[:])^0.285714285714 = T_{6}[:]/T_{t_6}[:] u_{6}[:]^2 + 2*h_6[:] <= 2*h_{t_6}[:] h_6[:] = C_{p_{tex}*T_{6}[:] h_{t_6}[:] = C_{p_{tex}*T_{t_6}[:] \alpha[:] = m_{fan}[:]/m_{core}[:] \alpha_{+1}[:] = \alpha[:] + 1 \alpha[:] <= \alpha_{max} F[:] <= F_{6}[:] + F_{8}[:] F_{sp}[:] = F[:]/(\alpha_{+1}[:]*m_{core}[:]*a[:]) TSFC[:] = 1/I_{sp}[:] F_{8}[:]/(\alpha[:]*m_{core}[:]) + V[:]*f_{BLI_{V}} <= u_{8}[:] FanMapPerformance m_{tild_f}[:] = m_{f}[:]/\bar{m}_{fan_{D}} LPCMapPerformance m_{tild_lc}[:] = m_{lc}[:]/m_{lc_D} HPCMapPerformance m_{tild_{hc}}[:] = m_{hc}[:]/m_{hc_D} SizingPerformance P_{7}[:] >= P_{atm}[:] M_7[:] <= 1 a_{7}[:] = (1.4*Mission1.Aircraft.Engine.EngineConstants.R*T_{7}[:])^0.5 a_{7}[:]*M_7[:] = u_{7}[:] \rho_7[:] = P_{7}[:]/(Mission1.Aircraft.Engine.EngineConstants.R*T_{7}[:]) P_{5}[:] >= P_{atm}[:] M_5[:] <= 1 a_{5}[:] = (1.39*Mission1.Aircraft.Engine.EngineConstants.R*T_{5}[:])^0.5 a_{5}[:]*M_5[:] = u_{5}[:] \rho_5[:] = P_{5}[:]/(Mission1.Aircraft.Engine.EngineConstants.R*T_{5}[:]) h_{2}[:] = C_{p_{1}*T_{2}[:] \rho_{2}[:] = P_{2}[:]/(Mission1.Aircraft.Engine.EngineConstants.R*T_{2}[:]) u_{2}[:] = M_2[:]*(C_{p_{1}*Mission1.Aircraft.Engine.EngineConstants.R*T_{2}[:]/dum[:])^0.5 h_{2.5}[:] = C_{p_{2}*T_{2.5}[:] \rho_{2.5}[:] = P_{2.5}[:]/(Mission1.Aircraft.Engine.EngineConstants.R*T_{2.5}[:]) u_{2.5}[:] = M_{2.5}[:]*(C_{p_{2}*Mission1.Aircraft.Engine.EngineConstants.R*T_{2.5}[:]/dum[:])^0.5 m_{total}[:]/\alpha_{+1}[:]*1/100*9.81*(1.68e+03 + 17.7*\pi_{f}[:]*\pi_{lc}[:]*\pi_{hc}[:]/30 + 1.66e+03*(\alpha[:]/5)^1.2) <= W_{engine} d_{f} = (4*A_{2}/(PI*HTR_{f_{SUB}}))^0.5 d_{LPC} = (4*A_{2.5}/(PI*HTR_{lpc_{SUB}}))^0.5 \eta_{B}*f[:]*h_{f} >= [[(1 - \alpha_c)*h_{t_4}[0,0] - (1 - \alpha_c)*h_{t_3}[0,0]], [(1 - \alpha_c)*h_{t_4}[1,0] - (1 - \alpha_c)*h_{t_3}[1,0]], [(1 - \alpha_c)*h_{t_4}[2,0] - (1 - \alpha_c)*h_{t_3}[2,0]], [(1 - \alpha_c)*h_{t_4}[3,0] - (1 - \alpha_c)*h_{t_3}[3,0]], [(1 - \alpha_c)*h_{t_4}[4,0] - (1 - \alpha_c)*h_{t_3}[4,0]]] + C_{p_{fuel}*f[:]*([[T_{t_4}[0,0] - T_{t_f}], [T_{t_4}[1,0] - T_{t_f}], [T_{t_4}[2,0] - T_{t_f}], [T_{t_4}[3,0] - T_{t_f}], [T_{t_4}[4,0] - T_{t_f}]]) h_{t_{4.1}}[:]*fp1[:] <= (1 - \alpha_c + f[:])*h_{t_4}[:] + \alpha_c*h_{t_3}[:] P_{t_4}[:] = \pi_{b}*P_{t_3}[:] M_{takeoff}*\eta_{HPshaft}*fp1[:]*([[h_{t_{4.1}}[0,0] - h_{t_{4.5}}[0,0]], [h_{t_{4.1}}[1,0] - h_{t_{4.5}}[1,0]], [h_{t_{4.1}}[2,0] - h_{t_{4.5}}[2,0]], [h_{t_{4.1}}[3,0] - h_{t_{4.5}}[3,0]], [h_{t_{4.1}}[4,0] - h_{t_{4.5}}[4,0]]]) >= [[h_{t_3}[0,0] - h_{t_{2.5}}[0,0]], [h_{t_3}[1,0] - h_{t_{2.5}}[1,0]], [h_{t_3}[2,0] - h_{t_{2.5}}[2,0]], [h_{t_3}[3,0] - h_{t_{2.5}}[3,0]], [h_{t_3}[4,0] - h_{t_{2.5}}[4,0]]] M_{takeoff}*\eta_{LPshaft}*fp1[:]*([[h_{t_{4.5}}[0,0] - h_{t_{4.9}}[0,0]], [h_{t_{4.5}}[1,0] - h_{t_{4.9}}[1,0]], [h_{t_{4.5}}[2,0] - h_{t_{4.9}}[2,0]], [h_{t_{4.5}}[3,0] - h_{t_{4.9}}[3,0]], [h_{t_{4.5}}[4,0] - h_{t_{4.9}}[4,0]]]) >= [[h_{t_{2.5}}[0,0] - h_{t_{1.8}}[0,0]], [h_{t_{2.5}}[1,0] - h_{t_{1.8}}[1,0]], [h_{t_{2.5}}[2,0] - h_{t_{1.8}}[2,0]], [h_{t_{2.5}}[3,0] - h_{t_{1.8}}[3,0]], [h_{t_{2.5}}[4,0] - h_{t_{1.8}}[4,0]]] + \alpha[:]*([[h_{t_{2.1}}[0,0] - h_{T_{2}}[0,0]], [h_{t_{2.1}}[1,0] - h_{T_{2}}[1,0]], [h_{t_{2.1}}[2,0] - h_{T_{2}}[2,0]], [h_{t_{2.1}}[3,0] - h_{T_{2}}[3,0]], [h_{t_{2.1}}[4,0] - h_{T_{2}}[4,0]]]) P_{t_{4.5}}[:] = \pi_{HPT}[:]*P_{t_{4.1}}[:] \pi_{HPT}[:] = (T_{t_{4.5}}[:]/T_{t_{4.1}}[:])^3.77163522013 \pi_{f}[:]*1.7/\pi_{f_D} = (1.05*N_{f}[:]^0.0871)^10 \pi_{f}[:]*1.7/\pi_{f_D} <= 1.1*(1.06*m_{tild_f}[:]^0.137)^10 \pi_{f}[:]*1.7/\pi_{f_D} >= 0.9*(1.06*m_{tild_f}[:]^0.137)^10 m_{f}[:] = m_{fan}[:]*(T_{T_{2}}[:]/T_{ref})^0.5/(P_{T_{2}}[:]/P_{ref}) \pi_{f}[:] >= 1 \pi_{lc}[:]*26/\pi_{lc_D} = (1.38*N_{1}[:]^0.566)^10 \pi_{lc}[:]*26/\pi_{lc_D} <= 1.1*(1.38*m_{tild_lc}[:]^0.122)^10 \pi_{lc}[:]*26/\pi_{lc_D} >= 0.9*(1.38*m_{tild_lc}[:]^0.122)^10 \pi_{lc}[:] >= 1 m_{lc}[:] = m_{core}[:]*(T_{T_{2}}[:]/T_{ref})^0.5/(P_{T_{2}}[:]/P_{ref}) \pi_{hc}[:]*26/\pi_{hc_D} = (1.38*N_{2}[:]^0.566)^10 \pi_{hc}[:]*26/\pi_{hc_D} >= 0.9*(1.38*m_{tild_{hc}}[:]^0.122)^10 \pi_{hc}[:]*26/\pi_{hc_D} <= 1.1*(1.38*m_{tild_{hc}}[:]^0.122)^10 m_{hc}[:] = m_{core}[:]*(T_{t_{2.5}}[:]/T_{ref})^0.5/(P_{t_{2.5}}[:]/P_{ref}) \pi_{hc}[:] >= 1 OPR[:] = \pi_{hc}[:]*\pi_{lc}[:]*\pi_{f}[:] P_{t_8}[:] = P_{t_7}[:] T_{t_8}[:] = T_{t_7}[:] P_{t_6}[:] = P_{t_5}[:] T_{t_6}[:] = T_{t_5}[:] F_{6}[:]/(M_{takeoff}*m_{core}[:]) + fp1[:]*V[:] <= fp1[:]*u_{6}[:] I_{sp}[:] = F_{sp}[:]*a[:]*\alpha_{+1}[:]/(f[:]*g) N_{f}[:]*G_{f} = N_{1}[:] N_{1}[:] <= 1.1 N_{2}[:] <= 1.1 fp1[:]*m_{hc}[:]*M_{takeoff}*P_{t_{2.5}}[:]/P_{t_{4.1}}[:]*(T_{t_{4.1}}[:]/T_{t_{2.5}}[:])^0.5 = m_{htD} fp1[:]*m_{lc}[:]*M_{takeoff}*P_{t_{1.8}}[:]/P_{t_{4.5}}[:]*(T_{t_{4.5}}[:]/T_{t_{1.8}}[:])^0.5 = m_{ltD} P_{7}[:]/P_{t_7}[:] = (T_{7}[:]/T_{t_7}[:])^3.5 (T_{7}[:]/T_{t_7}[:])^-1 >= 1 + 0.2*M_7[:]^2 P_{5}[:]/P_{t_5}[:] = (T_{5}[:]/T_{t_5}[:])^3.583979 (T_{5}[:]/T_{t_5}[:])^-1 >= 1 + 0.2*M_5[:]^2 M_{takeoff}*m_{core}[:] = \rho_5[:]*A_{5}*u_{5}[:]/fp1[:] m_{fan}[:] = \rho_7[:]*A_{7}*u_{7}[:] m_{total}[:] = m_{fan}[:] + m_{core}[:] P_{2}[:] = P_{T_{2}}[:]*hold_{2}[:]^-3.512 T_{2}[:] = T_{T_{2}}[:]*hold_{2}[:]^-1 m_{fan}[:]/(\rho_{2}[:]*u_{2}[:]) = A_{2} P_{2.5}[:] = P_{t_{2.5}}[:]*hold_{2.5}[:]^-3.824857 T_{2.5}[:] = T_{t_{2.5}}[:]*hold_{2.5}[:]^-1 m_{core}[:]/(\rho_{2.5}[:]*u_{2.5}[:]) = A_{2.5} 1.3*fp1[:]*M_{takeoff}*m_{coreD}*2.2/14.1 >= m_{htD} 0.7*fp1[:]*M_{takeoff}*m_{coreD}*2.2/14.1 <= m_{htD} 1.3*fp1[:]*M_{takeoff}*m_{coreD}*1.97/6.98 >= m_{ltD} 0.7*fp1[:]*M_{takeoff}*m_{coreD}*1.97/6.98 <= m_{ltD} m_{lc_D} >= 0.7*m_{coreD}/0.649 m_{lc_D} <= 1.3*m_{coreD}/0.649 m_{hc_D} >= 0.7*m_{coreD}*1.29/3.23 m_{hc_D} <= 1.3*m_{coreD}*1.29/3.23 \bar{m}_{fan_{D}} >= 0.7*\alpha_{OD}*m_{coreD}*0.932/0.405 \bar{m}_{fan_{D}} <= 1.3*\alpha_{OD}*m_{coreD}*0.932/0.405 F[:] = F_{spec}[:] T_{t_{4.1}}[:] <= T_{t_{4.1_{max}}} OPR[:] <= OPR_{max} VerticalTail VerticalTailNoStruct C_{L_{vt,yaw}} = 0.85*C_{L_{vt,max}} L_{vt,EO} = 0.5*\rho_{TO}*V_1^2*S_{vt}*C_{L_{vt,EO}} c_{l_{vt,EO}} >= C_{L_{vt,EO}}*(1 + c_{l_{vt,EO}}/(PI*e_{vt}*A_{vt})) A_{vt} = b_{vt}^2/S_{vt} b_{vt}*(c_{root_{vt}} + c_{tip_{vt}})/2 >= S_{vt} p_{vt} >= 1 + 2*\lambda_{vt} 2*q_{vt} >= 1 + p_{vt} y_{\bar{c}_{vt}} = b_{vt}/3*q_{vt}/p_{vt} z_{\bar{c}_{vt}} = b_{vt}/3*q_{vt}/p_{vt} 0.667*(1 + \lambda_{vt} + \lambda_{vt}^2)*c_{root_{vt}}/q_{vt} = \bar{c}_{vt} \lambda_{vt} = c_{tip_{vt}}/c_{root_{vt}} \Delta x_{trail_{vt}} >= \Delta x_{lead_{vt}} + c_{root_{vt}} \Delta x_{lead_{vt}} + y_{\bar{c}_{vt}}*\tan(\Lambda_{vt}) + 0.25*\bar{c}_{vt} >= l_{vt} \lambda_{vt} >= 0.25 V_{vt} >= V_{vt_{min}} WingBox AR_{vt} = (2*b_{vt})^2/(2*S_{vt}) 0.423*Mission1.Aircraft.VerticalTail.WingBox.r_{w/c}*\tau_{vt}^2*t_{cap} >= 0.92*Mission1.Aircraft.VerticalTail.WingBox.r_{w/c}*\tau_{vt}*t_{cap}^2 + I_{cap} \nu^3.94 >= 0.86*p_{vt}^-2.38 + 0.14*p_{vt}^0.56 W_{web} >= 8*\rho_{web}*g*r_h*\tau_{vt}*t_{web}*(2*S_{vt})^1.5*\nu/(3*AR_{vt}^0.5) \tau_{vt} <= 0.14 W_{struct} >= 0.5*(W_{web} + W_{cap}) Mission1.Aircraft.VerticalTail.WingBox.M_r >= 2*L_{vt_{max}}*AR_{vt}*p_{vt}/24 AR_{vt}*2*L_{vt_{max}}*Mission1.Aircraft.VerticalTail.WingBox.N_{lift}*q_{vt}^2/(\tau_{vt}*2*S_{vt}*t_{web}*\sigma_{max,shear}) <= 12 W_{cap} >= 8*\rho_{cap}*g*Mission1.Aircraft.VerticalTail.WingBox.r_{w/c}*t_{cap}*(2*S_{vt})^1.5*\nu/(3*AR_{vt}^0.5) Mission1.Aircraft.VerticalTail.WingBox.N_{lift} = 1 Mission1.Aircraft.VerticalTail.WingBox.N_{lift}*Mission1.Aircraft.VerticalTail.WingBox.M_r*AR_{vt}*q_{vt}^2*\tau_{vt}/(2*S_{vt}*I_{cap}*\sigma_{max}) <= 8 \lambda_{vt} = taper W_{vt} >= N_{spar}*C_{VT}*(W_{struct} + W_{struct}*f_{VT}) HorizontalTail HorizontalTailNoStruct \Delta x_{lead_{ht}} + y_{\bar{c}_{ht}}*\tan(\Lambda_{ht}) + 0.25*\bar{c}_{ht} >= l_{ht} \Delta x_{trail_{ht}} >= \Delta x_{lead_{ht}} + c_{root_{ht}} p_{ht} >= 1 + 2*\lambda_{ht} 2*q_{ht} >= 1 + p_{ht} y_{\bar{c}_{ht}} = b_{ht}/3*q_{ht}/p_{ht} 0.667*(1 + \lambda_{ht} + \lambda_{ht}^2)*c_{root_{ht}}/q_{ht} = \bar{c}_{ht} \lambda_{ht} = c_{tip_{ht}}/c_{root_{ht}} S_{ht} = b_{ht}*(c_{root_{ht}} + c_{tip_{ht}})/2 0.0524*\lambda_{ht}^4 - 0.15*\lambda_{ht}^3 + 0.166*\lambda_{ht}^2 - 0.0706*\lambda_{ht} + 0.0119 <= f(\lambda_{ht}) e_{ht}*(1 + f(\lambda_{ht})*AR_{ht}) <= 1 AR_{ht} = b_{ht}^2/S_{ht} \lambda_{ht} >= 0.2 \lambda_{ht} <= 1 WingBox AR_{ht} = b_{ht}^2/S_{ht} 0.423*Mission1.Aircraft.HorizontalTail.WingBox.r_{w/c}*\tau_{ht}^2*t_{cap} >= 0.92*Mission1.Aircraft.HorizontalTail.WingBox.r_{w/c}*\tau_{ht}*t_{cap}^2 + I_{cap} \nu^3.94 >= 0.86*p_{ht}^-2.38 + 0.14*p_{ht}^0.56 W_{web} >= 8*\rho_{web}*g*r_h*\tau_{ht}*t_{web}*S_{ht}^1.5*\nu/(3*AR_{ht}^0.5) \tau_{ht} <= 0.14 W_{struct} >= W_{web} + W_{cap} L_{ht_{tri_{out}}} >= L_{ht_{tri}}*b_{ht_{out}}^2/(0.5*b_{ht})^2 L_{ht_{rect_{out}}} >= L_{ht_{rect}}*b_{ht_{out}}/(0.5*b_{ht}) 2*AR_{ht}*L_{shear}*Mission1.Aircraft.HorizontalTail.WingBox.N_{lift}*q_{ht}^2/(\tau_{ht}*S_{ht}*t_{web}*\sigma_{max,shear}) <= 12 W_{cap} >= \pi_{M-fac}*8*\rho_{cap}*g*Mission1.Aircraft.HorizontalTail.WingBox.r_{w/c}*t_{cap}*S_{ht}^1.5*\nu/(3*AR_{ht}^0.5) Mission1.Aircraft.HorizontalTail.WingBox.N_{lift} = 1 Mission1.Aircraft.HorizontalTail.WingBox.N_{lift}*Mission1.Aircraft.HorizontalTail.WingBox.M_r*AR_{ht}*q_{ht}^2*\tau_{ht}/(S_{ht}*I_{cap}*\sigma_{max}) <= 8 L_{ht_{rect}} >= L_{ht_{max}}/2*c_{tip_{ht}}*b_{ht}/S_{ht} L_{ht_{max}}/4*(1 - taper)*c_{root_{ht}}*b_{ht}/S_{ht} <= L_{ht_{tri}} W_{ht} >= C_{ht}*(W_{struct} + W_{struct}*f_{ht}) LandingGear l_n + z_{wing} + y_m*\tan(\gamma) >= l_m T = 2*y_m x_m >= x_n + B x_n >= 5 \tan(\phi) = \tan(\phi_{min}) (z_{CG} + l_m)^0*(y_m^2 + B^2)/(\Delta x_n*y_m*\tan(\psi))^2 <= 1 \tan(\psi) <= \tan(\psi_{max}) x_{up} - x_m <= l_m/\tan(\theta_{max}) y_m >= l_m S_{sa} = 1/\eta_s*E_{land}/(L_m*\lambda_{LG}) l_{oleo} = 2.5*S_{sa} d_{oleo} = 1.3*(4*\lambda_{LG}*L_m/n_{mg}/(PI*p_{oleo}))^0.5 l_m >= l_{oleo} + d_{t_m}/2 F_{w_m} = L_{w_m}*d_{t_m}/(1e+03 [N*in]) W_{wa,m} = 1.2*F_{w_m}^0.609 F_{w_n} = L_{w_n}*d_{t_n}/1e+03 W_{wa,n} = 1.2*F_{w_n}^0.609 L_{w_m} = L_m/(n_{mg}*n_{wps}) L_{w_n} = L_n/n_{wps} d_{t_m} = 1.63*(L_{w_m}/4.44)^0.315 w_{t_m} = 0.104*(L_{w_m}/4.44)^0.48 d_{t_n} = 0.8*d_{t_m} w_{t_n} = 0.8*w_{t_m} W_{ms} >= 2PI*r_m*t_m*l_m*\rho_{st}*g N_s*\lambda_{LG}*L_m/n_{mg} <= \sigma_{y_c}*2PI*r_m*t_m W_{mw} = n_{wps}*W_{wa,m} W_{ns} >= 2PI*r_n*t_n*l_n*\rho_{st}*g \sigma_{y_c}*2PI*r_n*t_n >= N_s*(L_n + L_{n_{dyn}}) W_{nw} >= n_{wps}*W_{wa,n} L_m <= 9.87*E*I_m/(K*l_m)^2 I_m = PI*r_m^3*t_m L_n <= 9.87*E*I_n/(K*l_n)^2 I_n = PI*r_n^3*t_n 2*r_m/t_m <= 40 2*r_m/t_n <= 40 h_{hold} >= 2*w_{t_m} + 2*r_m 0.8 >= 2*w_{t_n} + 2*r_n W_{mg} >= n_{mg}*(W_{ms} + W_{mw}*(1 + f_{add,m})) W_{ng} >= W_{ns} + W_{nw}*(1 + f_{add,n}) W_{lg} >= C_{lg}*(W_{mg} + W_{ng}) W_{lg}*x_{CG_{lg}} >= W_{ng}*x_n + W_{mg}*x_m x_m >= x_{CG_{lg}} c_{root} = c_0 Mission1.Aircraft.Wing.WingBox.r_{w/c} = Mission1.Aircraft.Fuselage.r_{w/c} x_w = x_{wing} Mission1.Aircraft.Fuselage.N_{lift} = Mission1.Aircraft.Wing.WingBox.N_{lift} f_{L_{total/wing}}*L_{max} >= Mission1.Aircraft.Wing.WingBox.N_{lift}*W_{total, max} + L_{ht_{max}} W_{dry}[:] >= W_{fuse} + n_{eng}*W_{engsys} + W_{tail} + W_{wing} + W_{misc} W_{f_{total}}[:] + W_{dry}[:] + W_{payload}[:] <= W_{total}[:] W_{f_{total}}[:] + W_{dry}[:] + W_{payload}[:] <= W_{total}[:] W_{f_{total}}[:] >= W_{f_{primary}}[:] + f_{fuel_{res}}*W_{f_{primary}}[:] W_{f_{primary}}[:] >= W_{f_{climb}}[:] + W_{f_{cruise}}[:] W_{total}[:] <= W_{total, max} f_{wingfuel}*W_{f_{total}}[:]/FuelFrac <= W_{fuel_{wing}} W_{misc} >= W_{lg} + W_{hpesys} W_{hpesys} = f_{hpesys}*W_{total, max} x_n <= l_{nose} x_m >= x_{wing} \Delta x_{AC_{wing}} + x_{wing} >= x_m x_{hpesys} = 1.1*l_{nose} x_{misc}*W_{misc} >= x_{hpesys}*W_{hpesys} d_{nacelle} >= d_{f} + 2*t_{nacelle} E_{land} >= W_{total, max}/(2*g)*w_{ult}^2 x_{up} = x_{shell2} L_n = W_{total, max}*\Delta x_m/B L_m = W_{total, max}*\Delta x_n/B L_{n_{dyn}} >= 0.31*(z_{CG} + l_m)/B*W_{total, max} y_{eng} >= y_m 3*n_{vt}*Mission1.Aircraft.VerticalTail.WingBox.M_r*c_{root_{vt}}*(p_{\lambda_{vt}} - 1) >= n_{vt}*L_{vt_{max}}*b_{vt}*p_{\lambda_{vt}} V_{cone}*(1 + \lambda_{cone})*(PI + 4*\theta_{db}) >= n_{vt}*Mission1.Aircraft.VerticalTail.WingBox.M_r*c_{root_{vt}}/\tau_{cone}*(PI + 2*\theta_{db})*l_{cone}/R_{fuse} W_{tail} >= n_{vt}*W_{vt} + W_{ht} 2*w_{fuse} >= SPR*w_{seat} + n_{aisle}*w_{aisle} + 2*w_{sys} + t_{db} B_{1v} = r_{M_v}*n_{vt}*L_{vt_{max}}/(w_{fuse}*\sigma_{M_v}) m_{ratio}*(1 + 2/AR) = 1 + 2/AR_{ht} x_{CG_{ht}} <= l_{fuse} V_{ht} = S_{ht}*l_{ht}/(S*mac) L_{ht_{max}} >= 0.5*\rho_{T/O}*V_{ne}^2*S_{ht}*C_{L_{ht,max}} L_{vt_{max}} >= 0.5*\rho_{T/O}*V_{ne}^2*S_{vt}*C_{L_{vt,max}} x_{CG_{vt}} <= l_{fuse} V_{vt} = n_{vt}*S_{vt}*l_{vt}/(S*b) n_{vt}*0.5*\rho_{TO}*V_{land}^2*S_{vt}*l_{vt}*C_{L_{vt,yaw}} >= \dot{r}_{req}*I_{z, max} n_{vt}*L_{vt,EO}*l_{vt} >= T_e*y_{eng} + D_{wm}*y_{eng} D_{wm} >= 0.5*\rho_{TO}*V_1^2.0*A_{2}*C_{D_{wm}} I_{z}[:] >= I_{z_{wing}}[:] + I_{z_{tail}}[:] + I_{z_{fuse}}[:] I_{z}[:] <= I_{z, max} S_{nacelle} = r_{S_{nacelle}}*PI*0.25*d_{f}^2 l_{nacelle} = 0.15*d_{f}*r_{S_{nacelle}} f_{S_{nacelle}} = S_{nacelle}*S^-1 A_{inlet} = 0.4*S_{nacelle} A_{fancowl} = 0.2*S_{nacelle} A_{exh} = 0.4*S_{nacelle} A_{corecowl} = 3PI*d_{LPC}^2 W_{nacelle} >= ((2.5 + 0.238*d_{f})*A_{inlet} + 1.9*A_{fancowl} + (2.5 + 0.0363*d_{f})*A_{exh} + 1.9*A_{corecowl}) W_{eadd} = f_{eadd}*W_{engine} W_{pylon} >= (W_{nacelle} + W_{eadd} + W_{engine})*f_{pylon} W_{engsys} >= C_{engsys}*(W_{pylon} + W_{nacelle} + W_{eadd} + W_{engine}) y_{eng} = 0.5*w_{fuse} (L_{max} - Mission1.Aircraft.Wing.WingBox.N_{lift}*(W_{wing} + f_{wingfuel}*W_{f_{total}}[:]))*b^2/(12*S)*(c_{root} + 2*c_{tip}) <= Mission1.Aircraft.Wing.WingBox.M_r*c_{root} A_{1h_{Land}} >= N_{land}*(W_{tail} + n_{eng}*W_{engsys} + W_{apu})/(h_{fuse}*\sigma_{bend}) A_{1h_{MLF}} >= (Mission1.Aircraft.Fuselage.N_{lift}*(W_{tail} + n_{eng}*W_{engsys} + W_{apu}) + r_{M_h}*L_{ht_{max}})/(h_{fuse}*\sigma_{M_h}) I_{z_{wing}}[:] >= (W_{fuel_{wing}} + W_{wing})/(S*9.81)*c_{root}*b^3.0*(0.0833 - (1 - \lambda)/16) I_{z_{tail}}[:] >= (W_{apu} + W_{vt} + n_{eng}*W_{engsys})*l_{vt}^2.0/9.81 + W_{ht}*l_{ht}^2.0/9.81 I_{z_{fuse}}[:] >= (W_{fuse} + W_{payload_{max}})/l_{fuse}*(x_{wing}^3.0 + l_{vt}^3.0)/(3*9.81) x_{shell2} + l_{cone} >= x_{eng} x_{eng} >= x_{shell2} + 0.75*l_{cone} S_{floor} = 0.312*P_{floor} M_{floor} = 0.0352*P_{floor}*w_{floor} \Delta R_{fuse} = R_{fuse}*0.43/1.75 b_{ht}/4*L_{ht_{rect}} + b_{ht}/3*L_{ht_{tri}} = b_{ht_{out}}*L_{ht_{max}}/2 b_{ht_{out}} = 0.5*b_{ht} - w_{fuse} L_{ht_{rect}}*b_{ht}/4 + L_{ht_{tri}}*b_{ht}/6 - w_{fuse}*L_{ht_{max}}/2 <= Mission1.Aircraft.HorizontalTail.WingBox.M_r*c_{root_{ht}} M_{r_{out}}*c_{attach} >= L_{ht_{rect_{out}}}*0.5*b_{ht_{out}} + L_{ht_{tri_{out}}}*0.333*b_{ht_{out}} L_{shear} >= L_{ht_{rect_{out}}} + L_{ht_{tri_{out}}} c_{tip_{ht}} + (1 - \lambda_{ht})*2*b_{ht_{out}}/b_{ht}*c_{root_{ht}} = c_{attach} \pi_{M-fac} >= (0.5*(M_{r_{out}}*c_{attach} + Mission1.Aircraft.HorizontalTail.WingBox.M_r*c_{root_{ht}})*w_{fuse}/(0.5*M_{r_{out}}*c_{attach}*b_{ht_{out}}) + 1)*b_{ht_{out}}/(0.5*b_{ht}) FlightSegment FlightState V[:] = V[:] a[:] = (\gamma[:]*R[:]*T_{atm}[:])^0.5 V[:] = M[:]*a[:] Altitude h[:] = hft[:] Atmosphere (P_{atm}[:]/p_{sl}[:])^0.190222560396 = T_{atm}[:]/T_{sl}[:] \rho[:] = P_{atm}[:]/(R_{atm}[:]/M_{atm}[:]*T_{atm}[:]) T_{sl}[:] = T_{atm}[:] + L_{atm}[:]*h[:] \mu[:] = C_1[:]*T_{atm}[:]^1.5/(6.64*T_s[:]^0.72) FlightP P_{excess}[:] + V[:]*D[:] <= V[:]*n_{eng}*F[:] RC[:] = P_{excess}[:]/W_{avg}[:] \theta[:]*V[:] = RC[:] dhft[:] = tmin[:]*RC[:] R_{segment}[:] = thr[:]*V[:] WingPerformance 0.5*\rho[:]*V[:]^2*S*C_{L}[:] >= L_w[:] + \Delta L_{o}[:] + 2*\Delta L_{t}[:] \Delta L_{o}[:] = \eta_{o}[:]*f_{L_{o}}[:]*b/2*p_{o}[:] \Delta L_{t}[:] = f_{L_{t}}[:]*p_{o}[:]*c_{root}*taper^2 (AR/\eta)^2*(1 + \tan(\Lambda)^2 - M[:]^2) + 8PI*AR/C_{L_{\alpha,w}}[:] = (2PI*AR/C_{L_{\alpha,w}}[:])^2 C_{L}[:] = C_{L_{\alpha,w}}[:]*\alpha_w[:] \alpha_w[:] <= \alpha_{max,w}[:] D_{wing}[:] = 0.5*\rho[:]*V[:]^2*S*C_{d_w}[:] C_{d_w}[:] >= C_{D_{p_w}}[:] + C_{D_{i_w}}[:] C_{D_{i_w}}[:] >= TipReduct*C_{L}[:]^2/(PI*e*AR) Re_w[:] = \rho[:]*V[:]*mac/\mu[:] C_{D_{p_w}}[:]^1.6515 >= 1.61*(Re_w[:]/1e+03)^-0.550434*\tau^1.29151*(\cos(\Lambda)*M[:])^3.03609*C_{L}[:]^1.77743 + 0.0466*(Re_w[:]/1e+03)^-0.389048*\tau^0.784123*(\cos(\Lambda)*M[:])^-0.340157*C_{L}[:]^0.950763 + 191*(Re_w[:]/1e+03)^-0.218621*\tau^3.94654*(\cos(\Lambda)*M[:])^19.2524*C_{L}[:]^1.15233 + 2.82e-12*(Re_w[:]/1e+03)^1.18147*\tau^-1.75664*(\cos(\Lambda)*M[:])^0.10563*C_{L}[:]^-1.44114 FuselagePerformance (no constraints) VerticalTailPerformance D_{vt}[:] >= 0.5*\rho[:]*V[:]^2*S_{vt}*C_{D_{vis}}[:] Re_{vt}[:] = \rho[:]*V[:]*\bar{c}_{vt}/\mu[:] C_{D_{vis}}[:]^1.18909 >= 2.44e-77*Re_{vt}[:]^-0.52841*\tau_{vt}^133.796*M[:]^1022.7 + 0.00304*Re_{vt}[:]^-0.409988*\tau_{vt}^1.22062*M[:]^1.55119 + 0.000197*Re_{vt}[:]^0.214479*\tau_{vt}^-0.0383195*M[:]^-0.137561 + 6.59e-50*Re_{vt}[:]^-0.498092*\tau_{vt}^1.55922*M[:]^-114.577 HorizontalTailPerformance L_{ht}[:] = 0.5*\rho[:]*V[:]^2*S_{ht}*C_{L_{ht}}[:] C_{L_{ht}}[:] = C_{L_{\alpha,ht}}[:]*\alpha_{ht}[:] \alpha_{ht}[:] <= \alpha_{ht,max} C_{L_{\alpha,ht_0}}[:] = 6.28 D_{ht}[:] = 0.5*\rho[:]*V[:]^2*S_{ht}*C_{D_{ht}}[:] C_{D_{ht}}[:] >= C_{D_{0,ht}}[:] + C_{L_{ht}}[:]^2/(PI*e_{ht}*AR_{ht}) Re_{c_h}[:] = \rho[:]*V[:]*\bar{c}_{ht}/\mu[:] C_{D_{0,ht}}[:]^6.48983 >= 5.29e-20*Re_{c_h}[:]^0.900672*\tau_{ht}^0.912222*M[:]^8.64547 + 1.68e-28*Re_{c_h}[:]^0.350958*\tau_{ht}^6.29187*M[:]^10.2559 + 7.1e-25*Re_{c_h}[:]^1.39489*\tau_{ht}^1.96239*M[:]^0.567066 + 3.73e-14*Re_{c_h}[:]^-2.57406*\tau_{ht}^3.12793*M[:]^0.448159 + 1.44e-12*Re_{c_h}[:]^-3.91046*\tau_{ht}^4.66279*M[:]^7.68852 W_{burn}[:] = W_{burn}[:] F_{fuel}[:] = F_{fuel}[:] \rho_{cabin}[:] = P_{cabin}[:]/(R[:]*T_{cabin}[:]) P_{cabin}[:] = 7.5e+04 T_{cabin}[:] = 297 V[:] >= V_{stall}[:] W_{avg}[:] >= (W_{start}[:]*W_{end}[:])^0.5 + W_{buoy}[:] tmin[:] = thr[:] L_{fuse}[:] = (f_{L_{total/wing}} - 1)*L_w[:] L_{total}[:] = f_{L_{total/wing}}*L_w[:] L_{total}[:] >= W_{avg}[:] + L_{ht}[:] D_{fuse}[:] = 0.5*\rho[:]*V[:]^2*C_{D_{fuse}}[:]*l_{fuse}*R_{fuse}*M[:]^2/M_{fuseD}^2 D[:] >= D_{reduct}*(D_{wing}[:] + D_{fuse}[:] + n_{vt}*D_{vt}[:] + D_{ht}[:] + n_{eng}*D_{nacelle}[:]) C_D[:] = D[:]/(0.5*\rho[:]*V[:]^2*S) L/D[:] = W_{avg}[:]/D[:] W_{Load}[:] <= W_{Load_{max}}[:] W_{Load}[:] = 0.5*C_{L}[:]*S*\rho[:]*V[:]^2/S p_{o}[:] >= L_w[:]*c_{root}/S \eta_{o}[:] = w_{fuse}/(b/2) x_{AC}[:] <= x_{wing} + 0.25*\Delta x_{AC_{wing}} + x_{NP}[:] c_{m_{w}}[:] = 1.9 x_{NP}[:]/mac/V_{ht}*(AR + 2)*(1 + 2/AR_{ht}) = (1 + 2/AR)*(AR - 2) x_{CG}[:] + \Delta x_{trail_{vt}} <= l_{fuse} x_{CG}[:] + 0.5*(\Delta x_{lead_{vt}} + \Delta x_{trail_{vt}}) <= x_{CG_{vt}} x_{CG}[:] + 0.5*(\Delta x_{lead_{ht}} + \Delta x_{trail_{ht}}) <= x_{CG_{ht}} C_{L_{\alpha,ht}}[:] + 2*C_{L_{\alpha,w}}[:]/(PI*AR)*\eta_{ht}*C_{L_{\alpha,ht_0}}[:] <= C_{L_{\alpha,ht_0}}[:]*\eta_{ht} AR_{ht} >= 4 C_{L_{ht}}[:] >= 0.01 SM[:] <= ([[x_{AC}[0,0] - x_{CG}[0,0]], [x_{AC}[1,0] - x_{CG}[1,0]], [x_{AC}[2,0] - x_{CG}[2,0]], [x_{AC}[3,0] - x_{CG}[3,0]], [x_{AC}[4,0] - x_{CG}[4,0]]])/mac SM[:] >= SM_{min} SM_{min} + \Delta x_{CG}/mac + c_{m_{w}}[:]/C_{L_{w,max}} <= V_{ht}*m_{ratio} + V_{ht}*C_{L_{ht,max}}/C_{L_{w,max}} x_{AC}[:]/mac <= x_{CG}[:]/mac + c_{m_{w}}[:]/C_{L}[:] + V_{ht}*C_{L_{ht}}[:]/C_{L}[:] R_{e_{nacelle}}[:] = \rho[:]*V[:]*l_{nacelle}/\mu[:] C_{f_{nacelle}}[:] = 0.279/R_{e_{nacelle}}[:]^0.2 V_{nacelle}[:] = r_{v_{nacelle}}*V[:] V_{nacelle_ratio}[:] >= [[V_{nacelle}[0,0]*2/V[0,0] - V_2[0,0]/V[0,0]], [V_{nacelle}[1,0]*2/V[1,0] - V_2[1,0]/V[1,0]], [V_{nacelle}[2,0]*2/V[2,0] - V_2[2,0]/V[2,0]], [V_{nacelle}[3,0]*2/V[3,0] - V_2[3,0]/V[3,0]], [V_{nacelle}[4,0]*2/V[4,0] - V_2[4,0]/V[4,0]]] r_{v_{nsurf}}[:]^3.0 >= 0.25*(V_{nacelle_ratio}[:] + r_{v_{nacelle}})*(V_{nacelle_ratio}[:]^2.0 + r_{v_{nacelle}}^2.0) C_{d_{nacelle}}[:] = f_{S_{nacelle}}*C_{f_{nacelle}}[0]*r_{v_{nsurf}}[:]^3.0 D_{nacelle}[:] = C_{d_{nacelle}}[:]*0.5*\rho[:]*V[:]^2.0*S \Delta x_{lead_{vt}} + b_{vt}/\tan(\Lambda_{vt}) + w_{fuse}/\tan(\Lambda_{ht}) + c_{root_{ht}} >= \Delta x_{trail_{ht}} M_2[:3] = M[:3] M_{2.5}[:3] = 0.6 hold_{2}[:3] = 1.07164 hold_{2.5}[:3] = 1.06372 P_{excess}[:] + V[:]*D[:] <= V[:]*n_{eng}*F_{spec}[:] c1[:] = 1 + 0.201*M[:]^2.0 M_2[3:] = M[3:] M_{2.5}[3:] = 0.6 hold_{2}[3:] = 1.07164 hold_{2.5}[3:] = 1.06372 Beginning signomial solve. Using solver 'mosek' Solving for 1768 variables. Number of Hessian non-zeros: 2054 * Solving exponential optimization problem on dual form. * * The following log information refers to the solution of the dual problem. * Computer Platform : MACOSX/64-X86 Cores : 4 Problem Name : Objective sense : max Type : GECO (general convex optimization problem) Constraints : 1769 Cones : 0 Scalar variables : 6131 Matrix variables : 0 Integer variables : 0 Optimizer started. Interior-point optimizer started. Presolve started. Linear dependency checker started. Linear dependency checker terminated. Eliminator started. Total number of eliminations : 932 Eliminator terminated. Eliminator started. Total number of eliminations : 945 Eliminator terminated. Eliminator - tries : 2 time : 0.00 Eliminator - elim's : 945 Lin. dep. - tries : 1 time : 0.00 Lin. dep. - number : 0 Presolve terminated. Time: 0.01 Matrix reordering started. Local matrix reordering started. Local matrix reordering terminated. Matrix reordering terminated. Optimizer - threads : 4 Optimizer - solved problem : the primal Optimizer - Constraints : 775 Optimizer - Cones : 0 Optimizer - Scalar variables : 3450 conic : 0 Optimizer - Semi-definite variables: 0 scalarized : 0 Factor - setup time : 0.02 dense det. time : 0.00 Factor - ML order time : 0.00 GP order time : 0.02 Factor - nonzeros before factor : 1.64e+04 after factor : 1.50e+05 Factor - dense dim. : 0 flops : 0.00e+00 Factor - GP saved nzs : 0 GP saved flops : 0.00e+00 ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME 0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.281666983e+05 2.000000000e+00 1.0e+00 0.04 1 1.1e+03 1.4e+03 6.3e+04 -9.71e-01 -1.261218226e+05 3.598635511e+00 4.9e-01 0.52 2 4.2e+02 5.4e+02 2.3e+04 -9.38e-01 -1.196986776e+05 1.049612556e+01 1.8e-01 0.57 3 2.9e+02 3.7e+02 1.6e+04 -8.36e-01 -1.152517365e+05 6.526812103e+01 1.3e-01 0.82 4 2.8e+02 3.7e+02 1.6e+04 -7.59e-01 -1.127868408e+05 2.118228548e+03 1.3e-01 0.95 5 8.8e+01 1.1e+02 5.0e+03 -7.53e-01 -8.068799576e+04 8.526618424e+03 3.9e-02 1.11 6 3.7e+01 4.8e+01 2.1e+03 -2.93e-01 -4.760458966e+04 1.028990388e+04 1.6e-02 1.23 7 2.1e+01 2.8e+01 1.2e+03 2.57e-01 -3.157726260e+04 7.236293748e+03 9.5e-03 1.48 8 9.4e+00 1.2e+01 5.3e+02 5.39e-01 -1.509593591e+04 4.206138280e+03 4.2e-03 1.68 9 5.5e+00 7.1e+00 3.1e+02 8.14e-01 -8.773768620e+03 2.846846543e+03 2.5e-03 1.98 10 1.4e+00 1.8e+00 7.7e+01 9.08e-01 -2.041784782e+03 9.404571849e+02 6.1e-04 2.06 11 7.0e-01 9.1e-01 4.0e+01 9.94e-01 -8.319589353e+02 7.263088852e+02 3.2e-04 2.08 12 4.7e-01 6.2e-01 2.7e+01 9.97e-01 -4.792739518e+02 5.657797535e+02 2.2e-04 2.10 13 3.6e-01 7.9e-01 2.1e+01 9.79e-01 -3.146735073e+02 4.898416787e+02 1.6e-04 2.14 14 1.7e-01 3.8e-01 9.9e+00 9.96e-01 -1.839482231e+01 3.675794473e+02 7.9e-05 2.17 15 5.5e-02 1.6e-01 3.3e+00 9.95e-01 1.625345294e+02 2.906236598e+02 2.7e-05 2.22 16 3.2e-02 1.4e-01 1.9e+00 1.00e+00 1.998987374e+02 2.749101314e+02 1.6e-05 2.59 17 5.1e-03 1.8e-01 3.3e-01 1.00e+00 2.445645877e+02 2.572751647e+02 2.8e-06 2.94 18 1.5e-03 1.3e-01 9.6e-02 1.00e+00 2.509515436e+02 2.547018908e+02 8.4e-07 3.11 19 4.8e-04 1.1e-01 3.2e-02 1.00e+00 2.527847280e+02 2.540260964e+02 2.8e-07 3.31 20 2.1e-04 8.6e-02 1.4e-02 1.00e+00 2.532886539e+02 2.538372319e+02 1.2e-07 3.66 21 1.9e-04 7.8e-02 1.3e-02 1.00e+00 2.533297254e+02 2.538234601e+02 1.1e-07 3.74 22 1.7e-04 7.1e-02 1.1e-02 1.00e+00 2.533655498e+02 2.538098865e+02 1.0e-07 3.75 23 1.5e-04 6.5e-02 1.0e-02 1.00e+00 2.533978341e+02 2.537977210e+02 9.0e-08 3.76 24 1.4e-04 5.9e-02 9.3e-03 1.00e+00 2.534268639e+02 2.537867483e+02 8.1e-08 3.77 25 1.2e-04 5.4e-02 8.3e-03 1.00e+00 2.534529723e+02 2.537768567e+02 7.3e-08 4.33 26 1.1e-04 4.9e-02 7.5e-03 1.00e+00 2.534764526e+02 2.537679389e+02 6.6e-08 4.39 27 1.0e-04 4.5e-02 6.8e-03 1.00e+00 2.534975715e+02 2.537599013e+02 5.9e-08 4.72 28 9.1e-05 4.1e-02 6.1e-03 1.00e+00 2.535165675e+02 2.537526578e+02 5.3e-08 4.73 29 8.2e-05 3.8e-02 5.5e-03 1.00e+00 2.535336549e+02 2.537461308e+02 4.8e-08 4.75 30 7.4e-05 3.5e-02 4.9e-03 1.00e+00 2.535490262e+02 2.537402502e+02 4.3e-08 4.76 31 6.6e-05 3.2e-02 4.4e-03 1.00e+00 2.535628541e+02 2.537349522e+02 3.9e-08 4.77 32 6.0e-05 3.0e-02 4.0e-03 1.00e+00 2.535752940e+02 2.537301795e+02 3.5e-08 4.78 33 5.4e-05 2.7e-02 3.6e-03 1.00e+00 2.535864855e+02 2.537258803e+02 3.1e-08 4.84 34 4.8e-05 2.5e-02 3.2e-03 1.00e+00 2.535965542e+02 2.537220077e+02 2.8e-08 5.04 35 4.3e-05 2.4e-02 2.9e-03 1.00e+00 2.536056128e+02 2.537185196e+02 2.5e-08 5.05 36 3.9e-05 2.2e-02 2.6e-03 1.00e+00 2.536137629e+02 2.537153779e+02 2.3e-08 5.06 37 3.5e-05 2.1e-02 2.4e-03 1.00e+00 2.536210956e+02 2.537125484e+02 2.1e-08 5.07 38 3.2e-05 1.9e-02 2.1e-03 1.00e+00 2.536276932e+02 2.537100000e+02 1.9e-08 5.08 39 2.9e-05 1.8e-02 1.9e-03 1.00e+00 2.536336294e+02 2.537077051e+02 1.7e-08 5.10 40 2.6e-05 1.7e-02 1.7e-03 1.00e+00 2.536389705e+02 2.537056383e+02 1.5e-08 5.12 41 2.3e-05 1.6e-02 1.5e-03 1.00e+00 2.536437764e+02 2.537037772e+02 1.4e-08 5.13 42 2.1e-05 1.5e-02 1.4e-03 1.00e+00 2.536481008e+02 2.537021013e+02 1.2e-08 5.17 43 1.9e-05 1.4e-02 1.3e-03 1.00e+00 2.536519919e+02 2.537005922e+02 1.1e-08 5.20 44 1.7e-05 1.4e-02 1.1e-03 1.00e+00 2.536554932e+02 2.536992335e+02 9.9e-09 5.21 45 1.5e-05 1.3e-02 1.0e-03 1.00e+00 2.536586439e+02 2.536980100e+02 8.9e-09 5.22 46 1.4e-05 1.3e-02 9.1e-04 1.00e+00 2.536614790e+02 2.536969086e+02 8.0e-09 5.39 47 1.2e-05 1.2e-02 8.2e-04 1.00e+00 2.536640303e+02 2.536959169e+02 7.2e-09 5.40 48 1.1e-05 1.2e-02 7.4e-04 1.00e+00 2.536663262e+02 2.536950241e+02 6.5e-09 5.40 49 9.9e-06 1.1e-02 6.7e-04 1.00e+00 2.536683922e+02 2.536942204e+02 5.8e-09 5.41 50 9.0e-06 1.1e-02 6.0e-04 1.00e+00 2.536702514e+02 2.536934968e+02 5.2e-09 5.74 51 8.1e-06 1.0e-02 5.4e-04 1.00e+00 2.536719246e+02 2.536928455e+02 4.7e-09 6.03 52 7.3e-06 1.0e-02 4.9e-04 1.00e+00 2.536734303e+02 2.536922591e+02 4.3e-09 6.04 53 6.5e-06 9.9e-03 4.4e-04 1.00e+00 2.536747854e+02 2.536917313e+02 3.8e-09 6.05 54 5.9e-06 9.7e-03 3.9e-04 1.00e+00 2.536760048e+02 2.536912562e+02 3.4e-09 6.06 55 5.3e-06 9.4e-03 3.5e-04 1.00e+00 2.536771022e+02 2.536908285e+02 3.1e-09 6.07 56 4.8e-06 9.2e-03 3.2e-04 1.00e+00 2.536780898e+02 2.536904435e+02 2.8e-09 6.08 57 4.3e-06 9.1e-03 2.9e-04 1.00e+00 2.536789786e+02 2.536900970e+02 2.5e-09 6.09 58 3.9e-06 8.9e-03 2.6e-04 1.00e+00 2.536797784e+02 2.536897850e+02 2.3e-09 6.10 59 3.5e-06 8.8e-03 2.3e-04 1.00e+00 2.536804983e+02 2.536895042e+02 2.0e-09 6.10 60 3.1e-06 8.6e-03 2.1e-04 1.00e+00 2.536811461e+02 2.536892515e+02 1.8e-09 6.12 61 1.2e-06 3.4e-03 8.2e-05 1.00e+00 2.536847023e+02 2.536878624e+02 7.1e-10 6.20 62 1.1e-06 3.0e-03 7.3e-05 1.00e+00 2.536849302e+02 2.536877743e+02 6.4e-10 6.21 63 3.9e-07 1.1e-03 2.6e-05 1.00e+00 2.536862404e+02 2.536872622e+02 2.3e-10 6.22 64 3.5e-07 9.8e-04 2.4e-05 1.00e+00 2.536863139e+02 2.536872335e+02 2.1e-10 6.24 65 3.2e-07 8.8e-04 2.1e-05 1.00e+00 2.536863800e+02 2.536872077e+02 1.9e-10 6.25 66 2.9e-07 7.9e-04 1.9e-05 1.00e+00 2.536864395e+02 2.536871844e+02 1.7e-10 6.26 67 2.6e-07 7.1e-04 1.7e-05 1.00e+00 2.536864930e+02 2.536871634e+02 1.5e-10 6.27 68 2.3e-07 6.4e-04 1.6e-05 1.00e+00 2.536865412e+02 2.536871445e+02 1.4e-10 6.29 69 2.1e-07 5.8e-04 1.4e-05 9.99e-01 2.536865845e+02 2.536871276e+02 1.2e-10 6.49 70 1.9e-07 5.2e-04 1.3e-05 1.00e+00 2.536866236e+02 2.536871123e+02 1.1e-10 6.56 71 1.7e-07 4.7e-04 1.1e-05 1.00e+00 2.536866587e+02 2.536870985e+02 9.9e-11 6.60 72 1.5e-07 4.2e-04 1.0e-05 1.00e+00 2.536866903e+02 2.536870862e+02 8.9e-11 6.61 73 1.4e-07 3.8e-04 9.2e-06 9.99e-01 2.536867187e+02 2.536870750e+02 8.0e-11 6.61 74 1.2e-07 3.4e-04 8.3e-06 1.00e+00 2.536867444e+02 2.536870650e+02 7.2e-11 6.62 75 1.1e-07 3.1e-04 7.4e-06 1.00e+00 2.536867674e+02 2.536870559e+02 6.5e-11 6.64 76 1.0e-07 2.8e-04 6.7e-06 1.00e+00 2.536867882e+02 2.536870478e+02 5.9e-11 6.72 77 9.0e-08 2.5e-04 6.0e-06 1.00e+00 2.536868068e+02 2.536870405e+02 5.3e-11 6.76 78 8.1e-08 2.2e-04 5.4e-06 1.00e+00 2.536868236e+02 2.536870339e+02 4.8e-11 6.77 79 7.3e-08 2.0e-04 4.9e-06 1.00e+00 2.536868388e+02 2.536870279e+02 4.3e-11 6.77 80 6.6e-08 1.8e-04 4.4e-06 1.00e+00 2.536868524e+02 2.536870226e+02 3.9e-11 6.78 81 5.9e-08 1.6e-04 4.0e-06 1.00e+00 2.536868646e+02 2.536870178e+02 3.5e-11 6.79 82 5.3e-08 1.5e-04 3.6e-06 9.99e-01 2.536868756e+02 2.536870135e+02 3.1e-11 6.80 83 4.8e-08 1.3e-04 3.2e-06 1.00e+00 2.536868856e+02 2.536870096e+02 2.8e-11 6.98 84 4.3e-08 1.2e-04 2.9e-06 9.99e-01 2.536868945e+02 2.536870061e+02 2.5e-11 6.99 85 3.9e-08 1.1e-04 2.6e-06 9.98e-01 2.536869025e+02 2.536870030e+02 2.3e-11 7.48 86 3.5e-08 9.6e-05 2.3e-06 1.00e+00 2.536869097e+02 2.536870001e+02 2.0e-11 7.57 87 3.1e-08 8.6e-05 2.1e-06 1.00e+00 2.536869162e+02 2.536869976e+02 1.8e-11 7.79 88 2.8e-08 7.8e-05 1.9e-06 1.00e+00 2.536869221e+02 2.536869953e+02 1.7e-11 7.80 89 2.5e-08 7.0e-05 1.7e-06 9.95e-01 2.536869273e+02 2.536869932e+02 1.5e-11 7.81 90 2.3e-08 6.3e-05 1.5e-06 1.01e+00 2.536869323e+02 2.536869913e+02 1.4e-11 7.82 91 2.1e-08 5.7e-05 1.4e-06 9.87e-01 2.536869365e+02 2.536869896e+02 1.2e-11 7.83 92 1.9e-08 5.1e-05 1.2e-06 1.00e+00 2.536869403e+02 2.536869881e+02 1.1e-11 7.84 93 1.7e-08 4.6e-05 1.1e-06 9.99e-01 2.536869438e+02 2.536869868e+02 9.8e-12 8.18 94 1.5e-08 4.1e-05 1.0e-06 1.00e+00 2.536869469e+02 2.536869855e+02 8.9e-12 8.19 95 1.3e-08 3.7e-05 9.1e-07 9.82e-01 2.536869497e+02 2.536869845e+02 8.0e-12 8.53 96 1.2e-08 3.4e-05 8.1e-07 9.94e-01 2.536869522e+02 2.536869835e+02 7.2e-12 8.79 97 1.1e-08 3.0e-05 7.3e-07 9.90e-01 2.536869544e+02 2.536869826e+02 6.5e-12 8.80 98 9.8e-09 2.7e-05 6.6e-07 9.91e-01 2.536869564e+02 2.536869818e+02 5.8e-12 8.82 Interior-point optimizer terminated. Time: 8.89. Optimizer terminated. Time: 8.90 solsta = 1, prosta = 1 Interior-point solution summary Problem status : PRIMAL_AND_DUAL_FEASIBLE Solution status : OPTIMAL Primal. obj: 2.5368695643e+02 Viol. con: 2e-07 var: 0e+00 Dual. obj: 2.5368698184e+02 Viol. con: 0e+00 var: 2e-04 * End solution on dual form. * Transforming to primal solution. Solving took 8.92 seconds. Using solver 'mosek' Solving for 1768 variables. Number of Hessian non-zeros: 2054 * Solving exponential optimization problem on dual form. * * The following log information refers to the solution of the dual problem. * Computer Platform : MACOSX/64-X86 Cores : 4 Problem Name : Objective sense : max Type : GECO (general convex optimization problem) Constraints : 1769 Cones : 0 Scalar variables : 6131 Matrix variables : 0 Integer variables : 0 Optimizer started. Interior-point optimizer started. Presolve started. Linear dependency checker started. Linear dependency checker terminated. Eliminator started. Total number of eliminations : 932 Eliminator terminated. Eliminator started. Total number of eliminations : 944 Eliminator terminated. Eliminator - tries : 2 time : 0.00 Eliminator - elim's : 944 Lin. dep. - tries : 1 time : 0.00 Lin. dep. - number : 0 Presolve terminated. Time: 0.01 Matrix reordering started. Local matrix reordering started. Local matrix reordering terminated. Matrix reordering terminated. Optimizer - threads : 4 Optimizer - solved problem : the primal Optimizer - Constraints : 776 Optimizer - Cones : 0 Optimizer - Scalar variables : 3452 conic : 0 Optimizer - Semi-definite variables: 0 scalarized : 0 Factor - setup time : 0.02 dense det. time : 0.00 Factor - ML order time : 0.00 GP order time : 0.02 Factor - nonzeros before factor : 1.65e+04 after factor : 1.50e+05 Factor - dense dim. : 0 flops : 0.00e+00 Factor - GP saved nzs : 0 GP saved flops : 0.00e+00 ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME 0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.282478222e+05 2.000000000e+00 1.0e+00 0.04 1 1.1e+03 1.4e+03 6.0e+04 -9.71e-01 -1.260309133e+05 3.765030465e+00 4.7e-01 0.43 2 4.6e+02 5.9e+02 2.6e+04 -9.35e-01 -1.206226199e+05 9.889101589e+00 2.0e-01 0.67 3 2.9e+02 3.7e+02 1.6e+04 -8.49e-01 -1.154649667e+05 5.287064956e+01 1.3e-01 0.81 4 2.9e+02 3.7e+02 1.6e+04 -7.62e-01 -1.133003651e+05 1.900915469e+03 1.3e-01 0.92 5 8.2e+01 1.1e+02 4.6e+03 -7.57e-01 -7.788392958e+04 9.190691816e+03 3.6e-02 1.13 6 3.6e+01 4.6e+01 2.0e+03 -2.50e-01 -4.647713276e+04 1.020087223e+04 1.6e-02 1.18 7 1.8e+01 2.4e+01 1.0e+03 2.81e-01 -2.766870097e+04 6.418304589e+03 8.1e-03 1.39 8 9.2e+00 1.2e+01 5.1e+02 6.08e-01 -1.469555392e+04 4.041871912e+03 4.1e-03 1.42 9 5.7e+00 7.3e+00 3.2e+02 8.20e-01 -9.070668296e+03 2.774702738e+03 2.5e-03 1.45 10 2.0e+00 2.5e+00 1.1e+02 9.04e-01 -3.094061921e+03 1.193657198e+03 8.8e-04 1.48 11 1.6e+00 2.1e+00 9.1e+01 9.74e-01 -2.466457332e+03 1.043401202e+03 7.2e-04 1.50 12 9.0e-01 1.3e+00 5.1e+01 9.76e-01 -1.308690262e+03 6.778787344e+02 4.0e-04 1.57 13 4.5e-01 6.9e-01 2.5e+01 9.85e-01 -5.549299004e+02 4.398443320e+02 2.0e-04 1.80 14 2.3e-01 3.6e-01 1.3e+01 9.98e-01 -1.980184032e+02 3.180837932e+02 1.1e-04 1.93 15 1.0e-01 1.7e-01 5.8e+00 1.00e+00 1.009292710e+01 2.372083398e+02 4.7e-05 2.02 16 5.1e-02 1.1e-01 2.9e+00 1.00e+00 9.056222324e+01 2.045814347e+02 2.4e-05 2.29 17 1.0e-02 1.5e-01 6.3e-01 1.00e+00 1.546595147e+02 1.792230597e+02 5.3e-06 2.44 18 6.3e-03 1.1e-01 3.9e-01 1.01e+00 1.614768358e+02 1.765369238e+02 3.2e-06 2.64 19 1.6e-03 1.2e-01 1.0e-01 1.01e+00 1.694450706e+02 1.735001824e+02 8.9e-07 2.81 20 3.3e-04 1.5e-01 2.2e-02 1.01e+00 1.717838482e+02 1.726276254e+02 1.9e-07 3.05 21 1.4e-04 1.1e-01 9.3e-03 9.93e-01 1.721423969e+02 1.725031081e+02 8.2e-08 3.29 22 8.9e-05 8.4e-02 5.9e-03 1.00e+00 1.722365069e+02 1.724653331e+02 5.2e-08 3.52 23 8.0e-05 7.8e-02 5.3e-03 1.00e+00 1.722544583e+02 1.724604742e+02 4.7e-08 3.68 24 7.2e-05 7.1e-02 4.8e-03 1.00e+00 1.722695531e+02 1.724549692e+02 4.2e-08 3.72 25 6.5e-05 6.5e-02 4.3e-03 1.00e+00 1.722831748e+02 1.724500487e+02 3.8e-08 3.74 26 5.8e-05 5.9e-02 3.9e-03 1.00e+00 1.722954056e+02 1.724455907e+02 3.4e-08 3.77 27 5.2e-05 5.4e-02 3.5e-03 1.00e+00 1.723064004e+02 1.724415654e+02 3.1e-08 4.18 28 4.7e-05 4.9e-02 3.2e-03 1.00e+00 1.723162808e+02 1.724379276e+02 2.8e-08 4.43 29 4.2e-05 4.5e-02 2.8e-03 1.00e+00 1.723251597e+02 1.724346402e+02 2.5e-08 4.58 30 3.8e-05 4.2e-02 2.6e-03 1.00e+00 1.723331385e+02 1.724316695e+02 2.2e-08 4.93 31 3.4e-05 3.8e-02 2.3e-03 1.00e+00 1.723403088e+02 1.724289855e+02 2.0e-08 5.17 32 3.1e-05 3.5e-02 2.1e-03 1.00e+00 1.723467531e+02 1.724265611e+02 1.8e-08 5.41 33 2.8e-05 3.3e-02 1.9e-03 1.00e+00 1.723525456e+02 1.724243720e+02 1.6e-08 5.59 34 2.5e-05 3.0e-02 1.7e-03 1.00e+00 1.723577527e+02 1.724223958e+02 1.5e-08 5.84 35 2.3e-05 2.8e-02 1.5e-03 1.00e+00 1.723624341e+02 1.724206124e+02 1.3e-08 5.89 36 2.0e-05 2.6e-02 1.4e-03 1.00e+00 1.723666434e+02 1.724190034e+02 1.2e-08 5.91 37 1.8e-05 2.4e-02 1.2e-03 1.00e+00 1.723704283e+02 1.724175520e+02 1.1e-08 6.00 38 1.6e-05 2.2e-02 1.1e-03 1.00e+00 1.723738320e+02 1.724162431e+02 9.7e-09 6.06 39 1.5e-05 2.1e-02 9.9e-04 1.00e+00 1.723768931e+02 1.724150629e+02 8.7e-09 6.34 40 1.3e-05 2.0e-02 8.9e-04 1.00e+00 1.723796461e+02 1.724139988e+02 7.8e-09 6.58 41 1.2e-05 1.9e-02 8.0e-04 1.00e+00 1.723821222e+02 1.724130395e+02 7.0e-09 6.80 42 1.1e-05 1.7e-02 7.2e-04 1.00e+00 1.723843493e+02 1.724121749e+02 6.3e-09 7.10 43 9.7e-06 1.6e-02 6.5e-04 1.00e+00 1.723863526e+02 1.724113956e+02 5.7e-09 7.24 44 8.7e-06 1.6e-02 5.8e-04 1.00e+00 1.723881547e+02 1.724106934e+02 5.1e-09 7.36 45 7.9e-06 1.5e-02 5.3e-04 1.00e+00 1.723897757e+02 1.724100606e+02 4.6e-09 7.56 46 7.1e-06 1.4e-02 4.7e-04 1.00e+00 1.723912340e+02 1.724094904e+02 4.2e-09 7.72 47 6.4e-06 1.3e-02 4.3e-04 1.00e+00 1.723925459e+02 1.724089767e+02 3.7e-09 7.97 48 5.7e-06 1.3e-02 3.8e-04 1.00e+00 1.723937261e+02 1.724085139e+02 3.4e-09 8.14 49 5.2e-06 1.2e-02 3.5e-04 1.00e+00 1.723947879e+02 1.724080970e+02 3.0e-09 8.18 50 4.6e-06 1.2e-02 3.1e-04 1.00e+00 1.723957433e+02 1.724077214e+02 2.7e-09 8.25 51 4.2e-06 1.1e-02 2.8e-04 1.00e+00 1.723966028e+02 1.724073832e+02 2.5e-09 8.75 52 3.8e-06 1.1e-02 2.5e-04 1.00e+00 1.723973761e+02 1.724070785e+02 2.2e-09 8.98 53 3.4e-06 1.1e-02 2.3e-04 1.00e+00 1.723980720e+02 1.724068041e+02 2.0e-09 9.24 54 3.0e-06 1.0e-02 2.0e-04 1.00e+00 1.723986980e+02 1.724065570e+02 1.8e-09 9.51 55 2.7e-06 1.0e-02 1.8e-04 1.00e+00 1.723992614e+02 1.724063345e+02 1.6e-09 9.73 56 2.5e-06 9.8e-03 1.7e-04 1.00e+00 1.723997683e+02 1.724061341e+02 1.4e-09 10.13 57 2.2e-06 9.6e-03 1.5e-04 1.00e+00 1.724002244e+02 1.724059537e+02 1.3e-09 10.26 58 2.0e-06 9.4e-03 1.3e-04 1.00e+00 1.724006348e+02 1.724057912e+02 1.2e-09 10.37 59 1.8e-06 9.2e-03 1.2e-04 1.00e+00 1.724010041e+02 1.724056449e+02 1.1e-09 10.41 60 1.6e-06 9.0e-03 1.1e-04 1.00e+00 1.724013364e+02 1.724055131e+02 9.5e-10 10.44 61 1.5e-06 8.9e-03 9.8e-05 1.00e+00 1.724016354e+02 1.724053945e+02 8.6e-10 10.47 62 1.3e-06 8.7e-03 8.8e-05 1.00e+00 1.724019045e+02 1.724052877e+02 7.7e-10 10.56 63 1.2e-06 8.6e-03 7.9e-05 1.00e+00 1.724021467e+02 1.724051915e+02 6.9e-10 10.88 64 1.1e-06 8.5e-03 7.1e-05 1.00e+00 1.724023645e+02 1.724051050e+02 6.2e-10 11.24 65 9.6e-07 8.4e-03 6.4e-05 1.00e+00 1.724025606e+02 1.724050270e+02 5.6e-10 11.49 66 8.6e-07 8.3e-03 5.8e-05 1.00e+00 1.724027370e+02 1.724049568e+02 5.1e-10 11.66 67 7.7e-07 8.2e-03 5.2e-05 1.00e+00 1.724028958e+02 1.724048936e+02 4.5e-10 11.87 68 7.0e-07 8.2e-03 4.7e-05 1.00e+00 1.724030387e+02 1.724048367e+02 4.1e-10 12.04 69 6.3e-07 8.1e-03 4.2e-05 1.00e+00 1.724031673e+02 1.724047855e+02 3.7e-10 12.29 70 5.6e-07 8.0e-03 3.8e-05 1.00e+00 1.724032830e+02 1.724047394e+02 3.3e-10 12.42 71 5.1e-07 8.0e-03 3.4e-05 1.00e+00 1.724033871e+02 1.724046979e+02 3.0e-10 12.62 72 4.6e-07 7.9e-03 3.1e-05 1.00e+00 1.724034808e+02 1.724046605e+02 2.7e-10 12.67 73 4.1e-07 7.9e-03 2.8e-05 1.00e+00 1.724035651e+02 1.724046268e+02 2.4e-10 12.78 74 3.7e-07 7.8e-03 2.5e-05 1.00e+00 1.724036409e+02 1.724045965e+02 2.2e-10 12.82 75 3.3e-07 7.8e-03 2.2e-05 1.00e+00 1.724037092e+02 1.724045692e+02 2.0e-10 13.24 76 3.0e-07 7.7e-03 2.0e-05 1.00e+00 1.724037706e+02 1.724045447e+02 1.8e-10 13.62 77 2.7e-07 7.7e-03 1.8e-05 1.00e+00 1.724038259e+02 1.724045226e+02 1.6e-10 13.69 78 2.4e-07 7.7e-03 1.6e-05 1.00e+00 1.724038757e+02 1.724045027e+02 1.4e-10 13.87 79 2.2e-07 7.6e-03 1.5e-05 1.00e+00 1.724039205e+02 1.724044847e+02 1.3e-10 14.01 80 2.0e-07 7.6e-03 1.3e-05 1.00e+00 1.724039608e+02 1.724044686e+02 1.2e-10 14.17 81 1.8e-07 7.6e-03 1.2e-05 1.00e+00 1.724039970e+02 1.724044541e+02 1.0e-10 14.30 82 1.6e-07 7.6e-03 1.1e-05 1.00e+00 1.724040296e+02 1.724044410e+02 9.4e-11 14.66 83 1.4e-07 7.5e-03 9.6e-06 1.00e+00 1.724040590e+02 1.724044292e+02 8.4e-11 14.89 84 1.3e-07 7.5e-03 8.6e-06 1.00e+00 1.724040854e+02 1.724044186e+02 7.6e-11 14.91 85 1.2e-07 7.5e-03 7.8e-06 1.00e+00 1.724041092e+02 1.724044091e+02 6.8e-11 14.94 86 1.0e-07 7.5e-03 7.0e-06 1.00e+00 1.724041306e+02 1.724044005e+02 6.1e-11 14.97 87 9.4e-08 7.4e-03 6.3e-06 1.00e+00 1.724041499e+02 1.724043927e+02 5.5e-11 14.98 88 8.5e-08 7.4e-03 5.7e-06 1.00e+00 1.724041672e+02 1.724043858e+02 5.0e-11 15.44 89 7.6e-08 7.4e-03 5.1e-06 1.00e+00 1.724041828e+02 1.724043795e+02 4.5e-11 15.67 90 6.9e-08 7.4e-03 4.6e-06 1.00e+00 1.724041968e+02 1.724043739e+02 4.0e-11 15.92 91 6.2e-08 7.4e-03 4.1e-06 1.00e+00 1.724042094e+02 1.724043688e+02 3.6e-11 16.08 92 5.6e-08 7.4e-03 3.7e-06 9.99e-01 1.724042208e+02 1.724043642e+02 3.3e-11 16.28 93 5.0e-08 7.4e-03 3.3e-06 1.00e+00 1.724042310e+02 1.724043601e+02 2.9e-11 16.39 94 4.5e-08 7.3e-03 3.0e-06 9.99e-01 1.724042402e+02 1.724043564e+02 2.6e-11 16.78 95 4.1e-08 7.3e-03 2.7e-06 1.00e+00 1.724042485e+02 1.724043531e+02 2.4e-11 17.12 96 3.6e-08 7.3e-03 2.4e-06 1.00e+00 1.724042560e+02 1.724043501e+02 2.1e-11 17.17 97 3.3e-08 7.3e-03 2.2e-06 9.99e-01 1.724042627e+02 1.724043474e+02 1.9e-11 17.29 98 3.0e-08 7.3e-03 2.0e-06 1.00e+00 1.724042687e+02 1.724043449e+02 1.7e-11 17.63 99 2.7e-08 7.3e-03 1.8e-06 1.00e+00 1.724042741e+02 1.724043427e+02 1.6e-11 17.64 100 2.4e-08 7.3e-03 1.6e-06 1.00e+00 1.724042790e+02 1.724043408e+02 1.4e-11 17.65 101 2.2e-08 7.3e-03 1.4e-06 9.99e-01 1.724042834e+02 1.724043390e+02 1.3e-11 17.67 102 1.9e-08 7.3e-03 1.3e-06 9.99e-01 1.724042874e+02 1.724043374e+02 1.1e-11 17.67 103 1.7e-08 6.5e-03 1.2e-06 1.01e+00 1.724042910e+02 1.724043359e+02 1.0e-11 17.69 104 1.6e-08 5.9e-03 1.1e-06 9.99e-01 1.724042942e+02 1.724043346e+02 9.2e-12 17.70 105 1.4e-08 5.3e-03 9.5e-07 9.99e-01 1.724042971e+02 1.724043335e+02 8.3e-12 17.79 106 3.5e-09 1.3e-03 2.4e-07 1.00e+00 1.724043165e+02 1.724043256e+02 2.1e-12 17.82 107 3.2e-09 1.2e-03 2.1e-07 9.78e-01 1.724043172e+02 1.724043253e+02 1.9e-12 17.98 108 6.9e-10 2.6e-04 4.6e-08 9.99e-01 1.724043217e+02 1.724043235e+02 4.1e-13 18.06 Interior-point optimizer terminated. Time: 18.06. Optimizer terminated. Time: 18.07 solsta = 1, prosta = 1 Interior-point solution summary Problem status : PRIMAL_AND_DUAL_FEASIBLE Solution status : OPTIMAL Primal. obj: 1.7240432172e+02 Viol. con: 1e-08 var: 0e+00 Dual. obj: 1.7240432350e+02 Viol. con: 0e+00 var: 2e-03 * End solution on dual form. * Transforming to primal solution. Solving took 18.1 seconds. Using solver 'mosek' Solving for 1768 variables. Number of Hessian non-zeros: 2054 * Solving exponential optimization problem on dual form. * * The following log information refers to the solution of the dual problem. * Computer Platform : MACOSX/64-X86 Cores : 4 Problem Name : Objective sense : max Type : GECO (general convex optimization problem) Constraints : 1769 Cones : 0 Scalar variables : 6131 Matrix variables : 0 Integer variables : 0 Optimizer started. Interior-point optimizer started. Presolve started. Linear dependency checker started. Linear dependency checker terminated. Eliminator started. Total number of eliminations : 932 Eliminator terminated. Eliminator started. Total number of eliminations : 944 Eliminator terminated. Eliminator - tries : 2 time : 0.00 Eliminator - elim's : 944 Lin. dep. - tries : 1 time : 0.00 Lin. dep. - number : 0 Presolve terminated. Time: 0.01 Matrix reordering started. Local matrix reordering started. Local matrix reordering terminated. Matrix reordering terminated. Optimizer - threads : 4 Optimizer - solved problem : the primal Optimizer - Constraints : 776 Optimizer - Cones : 0 Optimizer - Scalar variables : 3452 conic : 0 Optimizer - Semi-definite variables: 0 scalarized : 0 Factor - setup time : 0.02 dense det. time : 0.00 Factor - ML order time : 0.00 GP order time : 0.02 Factor - nonzeros before factor : 1.65e+04 after factor : 1.50e+05 Factor - dense dim. : 0 flops : 0.00e+00 Factor - GP saved nzs : 0 GP saved flops : 0.00e+00 ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME 0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.285051260e+05 2.000000000e+00 1.0e+00 0.04 1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.263516762e+05 3.622987427e+00 4.8e-01 0.54 2 4.4e+02 5.6e+02 2.4e+04 -9.36e-01 -1.203749032e+05 1.006399231e+01 1.9e-01 0.93 3 2.9e+02 3.7e+02 1.6e+04 -8.42e-01 -1.156664676e+05 6.036391754e+01 1.3e-01 1.15 4 2.9e+02 3.7e+02 1.6e+04 -7.62e-01 -1.131640654e+05 2.177939812e+03 1.3e-01 1.38 5 8.0e+01 1.0e+02 4.5e+03 -7.55e-01 -7.692505704e+04 9.482544466e+03 3.5e-02 1.54 6 4.0e+01 5.1e+01 2.2e+03 -2.30e-01 -5.033254542e+04 1.013241976e+04 1.8e-02 1.58 7 3.0e+01 3.9e+01 1.7e+03 2.22e-01 -4.131699437e+04 8.369854868e+03 1.3e-02 1.63 8 1.8e+01 2.3e+01 1.0e+03 3.84e-01 -2.789881178e+04 5.363495693e+03 8.0e-03 1.65 9 7.8e+00 1.0e+01 4.3e+02 6.13e-01 -1.276861120e+04 3.127655419e+03 3.4e-03 1.67 10 4.0e+00 5.2e+00 2.2e+02 8.50e-01 -6.365153954e+03 2.113270057e+03 1.8e-03 2.05 11 2.3e+00 2.9e+00 1.3e+02 9.42e-01 -3.529552547e+03 1.328166043e+03 1.0e-03 2.18 12 9.6e-01 1.2e+00 5.4e+01 9.75e-01 -1.403510050e+03 6.746279540e+02 4.3e-04 2.29 13 7.9e-01 1.0e+00 4.5e+01 9.75e-01 -1.156769255e+03 5.907341513e+02 3.5e-04 2.40 14 7.4e-01 9.7e-01 4.2e+01 9.79e-01 -1.057471816e+03 5.717601864e+02 3.3e-04 2.64 15 2.6e-01 3.8e-01 1.5e+01 9.81e-01 -2.737788283e+02 3.081500515e+02 1.2e-04 2.91 16 1.5e-01 3.5e-01 8.3e+00 1.01e+00 -8.642070852e+01 2.392252030e+02 6.7e-05 3.03 17 8.3e-02 2.1e-01 4.8e+00 1.01e+00 1.791703746e+01 2.035091071e+02 3.8e-05 3.25 18 8.2e-02 2.1e-01 4.7e+00 1.02e+00 1.974550362e+01 2.036482037e+02 3.8e-05 3.32 19 6.8e-02 1.8e-01 3.9e+00 1.01e+00 5.098867939e+01 2.030408419e+02 3.2e-05 3.54 20 2.0e-02 1.0e-01 1.2e+00 1.01e+00 1.311391085e+02 1.772958458e+02 9.6e-06 3.65 21 6.2e-03 1.8e-01 3.7e-01 1.02e+00 1.567389536e+02 1.709888125e+02 3.0e-06 3.80 22 5.8e-03 1.7e-01 3.5e-01 9.83e-01 1.572781777e+02 1.705714488e+02 2.8e-06 3.81 23 4.3e-03 1.3e-01 2.6e-01 9.58e-01 1.597735020e+02 1.696670378e+02 2.1e-06 3.83 24 2.0e-03 7.8e-02 1.2e-01 9.73e-01 1.636473018e+02 1.683047581e+02 9.8e-07 3.86 25 1.2e-03 6.0e-02 7.4e-02 1.00e+00 1.650413570e+02 1.678696607e+02 6.0e-07 3.90 26 4.9e-04 8.1e-02 3.0e-02 1.01e+00 1.662737403e+02 1.674315935e+02 2.5e-07 3.92 27 2.2e-04 8.3e-02 1.4e-02 1.01e+00 1.667346213e+02 1.672491266e+02 1.1e-07 3.93 28 2.0e-04 7.6e-02 1.2e-02 1.01e+00 1.667749281e+02 1.672380170e+02 1.0e-07 4.30 29 1.8e-04 6.9e-02 1.1e-02 1.01e+00 1.668078165e+02 1.672244407e+02 9.0e-08 4.44 30 1.6e-04 6.3e-02 9.9e-03 1.01e+00 1.668374813e+02 1.672123253e+02 8.1e-08 4.67 31 1.4e-04 5.7e-02 8.9e-03 1.01e+00 1.668639848e+02 1.672012432e+02 7.3e-08 4.93 32 1.3e-04 5.2e-02 8.0e-03 1.01e+00 1.668877432e+02 1.671911910e+02 6.5e-08 5.15 33 1.2e-04 4.8e-02 7.2e-03 1.01e+00 1.669090372e+02 1.671820694e+02 5.9e-08 5.32 34 1.0e-04 4.4e-02 6.5e-03 1.01e+00 1.669281290e+02 1.671737991e+02 5.3e-08 5.58 35 9.3e-05 4.0e-02 5.8e-03 1.01e+00 1.669452495e+02 1.671663040e+02 4.8e-08 5.69 36 8.4e-05 3.7e-02 5.2e-03 1.01e+00 1.669606058e+02 1.671595147e+02 4.3e-08 5.85 37 7.6e-05 3.4e-02 4.7e-03 1.01e+00 1.669743824e+02 1.671533675e+02 3.9e-08 5.97 38 6.8e-05 3.1e-02 4.3e-03 1.01e+00 1.669867440e+02 1.671478035e+02 3.5e-08 6.04 39 6.1e-05 2.9e-02 3.8e-03 1.00e+00 1.669978378e+02 1.671427692e+02 3.1e-08 6.07 40 5.5e-05 2.7e-02 3.4e-03 1.00e+00 1.670077953e+02 1.671382156e+02 2.8e-08 6.13 41 5.0e-05 2.5e-02 3.1e-03 1.00e+00 1.670167343e+02 1.671340978e+02 2.5e-08 6.16 42 4.5e-05 2.3e-02 2.8e-03 1.00e+00 1.670247600e+02 1.671303752e+02 2.3e-08 6.18 43 4.0e-05 2.2e-02 2.5e-03 1.00e+00 1.670319665e+02 1.671270104e+02 2.1e-08 6.59 44 3.6e-05 2.0e-02 2.3e-03 1.00e+00 1.670384384e+02 1.671239700e+02 1.8e-08 6.82 45 3.3e-05 1.9e-02 2.0e-03 1.00e+00 1.670442511e+02 1.671212232e+02 1.7e-08 7.00 46 2.9e-05 1.8e-02 1.8e-03 1.00e+00 1.670494724e+02 1.671187421e+02 1.5e-08 7.20 47 2.6e-05 1.7e-02 1.6e-03 1.00e+00 1.670541629e+02 1.671165015e+02 1.3e-08 7.34 48 2.4e-05 1.6e-02 1.5e-03 1.00e+00 1.670583771e+02 1.671144785e+02 1.2e-08 7.57 49 2.1e-05 1.5e-02 1.3e-03 1.00e+00 1.670621636e+02 1.671126522e+02 1.1e-08 7.59 50 1.9e-05 1.5e-02 1.2e-03 1.00e+00 1.670655662e+02 1.671110038e+02 9.8e-09 7.73 51 1.7e-05 1.4e-02 1.1e-03 1.00e+00 1.670686240e+02 1.671095162e+02 8.9e-09 7.76 52 1.6e-05 1.3e-02 9.7e-04 1.00e+00 1.670713723e+02 1.671081738e+02 8.0e-09 8.04 53 1.4e-05 1.3e-02 8.8e-04 1.00e+00 1.670738426e+02 1.671069629e+02 7.2e-09 8.06 54 1.3e-05 1.2e-02 7.9e-04 1.00e+00 1.670760632e+02 1.671058706e+02 6.5e-09 8.07 55 1.1e-05 1.2e-02 7.1e-04 1.00e+00 1.670780594e+02 1.671048854e+02 5.8e-09 8.14 56 1.0e-05 1.1e-02 6.4e-04 1.00e+00 1.670798541e+02 1.671039970e+02 5.2e-09 8.75 57 9.2e-06 1.1e-02 5.7e-04 1.00e+00 1.670814678e+02 1.671031961e+02 4.7e-09 9.15 58 8.3e-06 1.1e-02 5.2e-04 1.00e+00 1.670829188e+02 1.671024740e+02 4.2e-09 9.16 59 7.5e-06 1.1e-02 4.7e-04 1.00e+00 1.670842236e+02 1.671018230e+02 3.8e-09 9.17 60 6.7e-06 1.0e-02 4.2e-04 1.00e+00 1.670853970e+02 1.671012363e+02 3.4e-09 9.18 61 6.0e-06 1.0e-02 3.8e-04 1.00e+00 1.670864523e+02 1.671007075e+02 3.1e-09 9.29 62 5.4e-06 9.9e-03 3.4e-04 1.00e+00 1.670874015e+02 1.671002310e+02 2.8e-09 9.30 63 2.1e-06 3.8e-03 1.3e-04 1.00e+00 1.670926601e+02 1.670975616e+02 1.1e-09 9.86 64 8.3e-07 1.5e-03 5.2e-05 1.00e+00 1.670945991e+02 1.670965756e+02 4.3e-10 10.25 65 7.5e-07 1.4e-03 4.7e-05 1.00e+00 1.670947337e+02 1.670965126e+02 3.9e-10 10.26 66 4.5e-07 8.2e-04 2.8e-05 1.00e+00 1.670951995e+02 1.670962706e+02 2.3e-10 10.27 67 4.1e-07 7.4e-04 2.6e-05 1.00e+00 1.670952711e+02 1.670962350e+02 2.1e-10 10.28 68 3.7e-07 6.6e-04 2.3e-05 1.00e+00 1.670953346e+02 1.670962021e+02 1.9e-10 10.29 69 3.3e-07 6.0e-04 2.1e-05 9.99e-01 1.670953918e+02 1.670961725e+02 1.7e-10 10.30 70 3.0e-07 5.4e-04 1.9e-05 1.00e+00 1.670954431e+02 1.670961458e+02 1.5e-10 10.81 71 2.7e-07 4.8e-04 1.7e-05 1.00e+00 1.670954894e+02 1.670961218e+02 1.4e-10 10.82 72 2.4e-07 4.4e-04 1.5e-05 9.98e-01 1.670955309e+02 1.670961002e+02 1.2e-10 11.54 73 2.2e-07 3.9e-04 1.4e-05 1.00e+00 1.670955684e+02 1.670960807e+02 1.1e-10 12.27 74 1.9e-07 3.5e-04 1.2e-05 1.00e+00 1.670956020e+02 1.670960631e+02 1.0e-10 12.40 75 1.7e-07 3.2e-04 1.1e-05 1.00e+00 1.670956323e+02 1.670960473e+02 9.0e-11 12.66 76 1.6e-07 2.9e-04 9.9e-06 1.00e+00 1.670956596e+02 1.670960330e+02 8.1e-11 12.79 77 1.4e-07 2.6e-04 8.9e-06 9.99e-01 1.670956841e+02 1.670960202e+02 7.3e-11 12.92 78 1.3e-07 2.3e-04 8.0e-06 9.98e-01 1.670957062e+02 1.670960087e+02 6.6e-11 12.93 79 1.1e-07 2.1e-04 7.2e-06 9.96e-01 1.670957260e+02 1.670959984e+02 5.9e-11 12.96 80 1.0e-07 1.9e-04 6.5e-06 1.01e+00 1.670957444e+02 1.670959887e+02 5.3e-11 13.49 81 9.3e-08 1.7e-04 5.8e-06 1.00e+00 1.670957605e+02 1.670959803e+02 4.8e-11 14.26 82 8.4e-08 1.5e-04 5.3e-06 9.96e-01 1.670957749e+02 1.670959728e+02 4.3e-11 14.87 83 7.5e-08 1.4e-04 4.7e-06 1.01e+00 1.670957883e+02 1.670959657e+02 3.9e-11 15.81 84 6.8e-08 1.2e-04 4.3e-06 9.99e-01 1.670957999e+02 1.670959596e+02 3.5e-11 16.41 85 6.1e-08 1.1e-04 3.8e-06 1.00e+00 1.670958105e+02 1.670959541e+02 3.2e-11 17.52 86 5.5e-08 1.0e-04 3.4e-06 1.01e+00 1.670958200e+02 1.670959491e+02 2.8e-11 18.37 87 4.9e-08 9.0e-05 3.1e-06 9.96e-01 1.670958285e+02 1.670959447e+02 2.6e-11 18.51 88 4.4e-08 8.1e-05 2.8e-06 1.00e+00 1.670958362e+02 1.670959406e+02 2.3e-11 18.98 89 4.0e-08 7.3e-05 2.5e-06 9.78e-01 1.670958430e+02 1.670959371e+02 2.1e-11 19.12 90 3.6e-08 6.5e-05 2.3e-06 9.99e-01 1.670958492e+02 1.670959339e+02 1.9e-11 19.37 91 3.2e-08 5.9e-05 2.0e-06 1.05e+00 1.670958559e+02 1.670959303e+02 1.7e-11 19.53 92 2.9e-08 5.3e-05 1.8e-06 1.02e+00 1.670958611e+02 1.670959275e+02 1.6e-11 19.57 93 2.6e-08 4.8e-05 1.6e-06 1.02e+00 1.670958658e+02 1.670959250e+02 1.4e-11 19.60 94 2.4e-08 4.3e-05 1.5e-06 9.88e-01 1.670958697e+02 1.670959230e+02 1.3e-11 20.09 95 2.1e-08 3.9e-05 1.3e-06 1.02e+00 1.670958736e+02 1.670959210e+02 1.2e-11 20.10 96 1.9e-08 3.5e-05 1.2e-06 1.03e+00 1.670958771e+02 1.670959191e+02 1.1e-11 20.11 97 1.7e-08 3.1e-05 1.1e-06 1.02e+00 1.670958801e+02 1.670959175e+02 9.6e-12 20.12 98 1.6e-08 2.8e-05 9.7e-07 1.02e+00 1.670958828e+02 1.670959161e+02 8.7e-12 20.13 Interior-point optimizer terminated. Time: 20.13. Optimizer terminated. Time: 20.14 solsta = 1, prosta = 1 Interior-point solution summary Problem status : PRIMAL_AND_DUAL_FEASIBLE Solution status : OPTIMAL Primal. obj: 1.6709588280e+02 Viol. con: 2e-07 var: 0e+00 Dual. obj: 1.6709591612e+02 Viol. con: 0e+00 var: 2e-04 * End solution on dual form. * Transforming to primal solution. Solving took 20.2 seconds. Using solver 'mosek' Solving for 1768 variables. Number of Hessian non-zeros: 2054 * Solving exponential optimization problem on dual form. * * The following log information refers to the solution of the dual problem. * Computer Platform : MACOSX/64-X86 Cores : 4 Problem Name : Objective sense : max Type : GECO (general convex optimization problem) Constraints : 1769 Cones : 0 Scalar variables : 6131 Matrix variables : 0 Integer variables : 0 Optimizer started. Interior-point optimizer started. Presolve started. Linear dependency checker started. Linear dependency checker terminated. Eliminator started. Total number of eliminations : 932 Eliminator terminated. Eliminator started. Total number of eliminations : 944 Eliminator terminated. Eliminator - tries : 2 time : 0.00 Eliminator - elim's : 944 Lin. dep. - tries : 1 time : 0.00 Lin. dep. - number : 0 Presolve terminated. Time: 0.01 Matrix reordering started. Local matrix reordering started. Local matrix reordering terminated. Matrix reordering terminated. Optimizer - threads : 4 Optimizer - solved problem : the primal Optimizer - Constraints : 776 Optimizer - Cones : 0 Optimizer - Scalar variables : 3452 conic : 0 Optimizer - Semi-definite variables: 0 scalarized : 0 Factor - setup time : 0.03 dense det. time : 0.00 Factor - ML order time : 0.00 GP order time : 0.02 Factor - nonzeros before factor : 1.65e+04 after factor : 1.50e+05 Factor - dense dim. : 0 flops : 0.00e+00 Factor - GP saved nzs : 0 GP saved flops : 0.00e+00 ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME 0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.282340834e+05 2.000000000e+00 1.0e+00 0.04 1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.260941562e+05 3.573266745e+00 4.8e-01 0.24 2 4.3e+02 5.5e+02 2.4e+04 -9.37e-01 -1.200565657e+05 1.003090996e+01 1.9e-01 0.25 3 2.9e+02 3.7e+02 1.6e+04 -8.42e-01 -1.153564028e+05 6.135569658e+01 1.3e-01 0.26 4 2.9e+02 3.7e+02 1.6e+04 -7.61e-01 -1.127106635e+05 2.301022754e+03 1.3e-01 0.27 5 7.4e+01 9.5e+01 4.1e+03 -7.54e-01 -7.385921349e+04 1.001974950e+04 3.3e-02 0.28 6 3.6e+01 4.7e+01 2.0e+03 -1.86e-01 -4.686868420e+04 1.035872058e+04 1.6e-02 0.29 7 2.2e+01 2.8e+01 1.2e+03 2.80e-01 -3.229423874e+04 7.125782588e+03 9.7e-03 0.31 8 1.3e+01 1.7e+01 7.4e+02 5.41e-01 -2.102015966e+04 4.794210319e+03 5.9e-03 0.32 9 5.2e+00 6.7e+00 2.9e+02 7.27e-01 -8.482323004e+03 2.381461027e+03 2.3e-03 0.64 10 2.4e+00 3.0e+00 1.3e+02 9.16e-01 -3.662348384e+03 1.406281420e+03 1.1e-03 0.86 11 1.7e+00 2.2e+00 9.5e+01 9.76e-01 -2.587814186e+03 1.057495565e+03 7.6e-04 0.87 12 8.3e-01 1.1e+00 4.7e+01 9.83e-01 -1.195682244e+03 6.123681794e+02 3.7e-04 0.88 13 7.6e-01 1.1e+00 4.2e+01 9.50e-01 -1.098085756e+03 5.684112067e+02 3.4e-04 1.07 14 6.1e-01 8.7e-01 3.4e+01 9.86e-01 -8.367317467e+02 5.040853754e+02 2.7e-04 1.13 15 1.8e-01 2.8e-01 1.0e+01 9.89e-01 -1.535781102e+02 2.533281911e+02 8.4e-05 1.18 16 1.0e-01 1.8e-01 5.9e+00 1.01e+00 -2.006078897e+01 2.117117385e+02 4.8e-05 2.10 17 1.0e-01 1.8e-01 5.9e+00 1.02e+00 -1.844831092e+01 2.119465078e+02 4.8e-05 2.74 18 8.8e-02 1.6e-01 5.1e+00 1.02e+00 1.413395385e+01 2.123038373e+02 4.1e-05 2.85 19 3.5e-02 9.7e-02 2.0e+00 1.01e+00 1.053784560e+02 1.837340833e+02 1.6e-05 3.00 20 1.0e-02 1.7e-01 6.0e-01 1.01e+00 1.496760070e+02 1.726889659e+02 4.8e-06 3.23 21 3.1e-03 1.8e-01 1.9e-01 1.01e+00 1.612162725e+02 1.684506689e+02 1.5e-06 3.25 22 1.2e-03 1.2e-01 7.5e-02 1.01e+00 1.645522876e+02 1.674150487e+02 6.2e-07 3.27 23 6.1e-04 8.4e-02 3.8e-02 1.00e+00 1.656029508e+02 1.670405594e+02 3.1e-07 3.32 24 2.4e-04 8.6e-02 1.5e-02 1.01e+00 1.662299184e+02 1.668057349e+02 1.3e-07 3.35 25 2.2e-04 7.9e-02 1.4e-02 1.01e+00 1.662753229e+02 1.667934013e+02 1.1e-07 3.44 26 2.0e-04 7.2e-02 1.2e-02 1.01e+00 1.663120735e+02 1.667782104e+02 1.0e-07 3.76 27 1.8e-04 6.6e-02 1.1e-02 1.01e+00 1.663452984e+02 1.667647111e+02 9.2e-08 4.08 28 1.6e-04 6.0e-02 1.0e-02 1.01e+00 1.663750771e+02 1.667524591e+02 8.3e-08 4.21 29 1.4e-04 5.5e-02 9.0e-03 1.01e+00 1.664018174e+02 1.667413883e+02 7.4e-08 4.25 30 1.3e-04 5.0e-02 8.1e-03 1.01e+00 1.664258233e+02 1.667313782e+02 6.7e-08 4.48 31 1.2e-04 4.6e-02 7.3e-03 1.01e+00 1.664473771e+02 1.667223290e+02 6.0e-08 4.64 32 1.0e-04 4.2e-02 6.5e-03 1.00e+00 1.664667304e+02 1.667141488e+02 5.4e-08 4.74 33 9.4e-05 3.9e-02 5.9e-03 1.00e+00 1.664841088e+02 1.667067546e+02 4.9e-08 4.88 34 8.4e-05 3.6e-02 5.3e-03 1.00e+00 1.664997146e+02 1.667000713e+02 4.4e-08 5.08 35 7.6e-05 3.3e-02 4.8e-03 1.00e+00 1.665137292e+02 1.666940306e+02 4.0e-08 5.14 36 6.8e-05 3.0e-02 4.3e-03 1.00e+00 1.665263154e+02 1.666885711e+02 3.6e-08 5.35 37 6.1e-05 2.8e-02 3.9e-03 1.00e+00 1.665376193e+02 1.666836371e+02 3.2e-08 5.48 38 5.5e-05 2.6e-02 3.5e-03 1.00e+00 1.665477720e+02 1.666791783e+02 2.9e-08 5.50 39 5.0e-05 2.4e-02 3.1e-03 1.00e+00 1.665568911e+02 1.666751491e+02 2.6e-08 5.53 40 4.5e-05 2.3e-02 2.8e-03 1.00e+00 1.665650823e+02 1.666715085e+02 2.3e-08 5.56 41 4.0e-05 2.1e-02 2.5e-03 1.00e+00 1.665724404e+02 1.666682192e+02 2.1e-08 5.60 42 3.6e-05 2.0e-02 2.3e-03 1.00e+00 1.665790504e+02 1.666652477e+02 1.9e-08 5.68 43 3.3e-05 1.9e-02 2.1e-03 1.00e+00 1.665849888e+02 1.666625636e+02 1.7e-08 6.24 44 2.9e-05 1.8e-02 1.9e-03 1.00e+00 1.665903240e+02 1.666601392e+02 1.5e-08 7.20 45 2.6e-05 1.7e-02 1.7e-03 1.00e+00 1.665951177e+02 1.666579497e+02 1.4e-08 7.41 46 2.4e-05 1.6e-02 1.5e-03 1.00e+00 1.665994250e+02 1.666559726e+02 1.2e-08 8.03 47 2.1e-05 1.5e-02 1.3e-03 1.00e+00 1.666032956e+02 1.666541875e+02 1.1e-08 8.63 48 1.9e-05 1.4e-02 1.2e-03 1.00e+00 1.666067738e+02 1.666525759e+02 1.0e-08 8.98 49 1.7e-05 1.4e-02 1.1e-03 1.00e+00 1.666098998e+02 1.666511212e+02 9.1e-09 9.43 50 1.6e-05 1.3e-02 9.8e-04 1.00e+00 1.666127093e+02 1.666498082e+02 8.2e-09 10.08 51 1.4e-05 1.3e-02 8.9e-04 1.00e+00 1.666152346e+02 1.666486234e+02 7.4e-09 10.11 52 1.3e-05 1.2e-02 8.0e-04 1.00e+00 1.666175045e+02 1.666475542e+02 6.6e-09 10.16 53 1.1e-05 1.2e-02 7.2e-04 1.00e+00 1.666195449e+02 1.666465897e+02 6.0e-09 10.69 54 1.0e-05 1.1e-02 6.5e-04 1.00e+00 1.666213793e+02 1.666457195e+02 5.4e-09 11.23 55 9.2e-06 1.1e-02 5.8e-04 1.00e+00 1.666230284e+02 1.666449347e+02 4.8e-09 11.84 56 8.3e-06 1.1e-02 5.2e-04 1.00e+00 1.666245111e+02 1.666442268e+02 4.3e-09 12.11 57 7.5e-06 1.1e-02 4.7e-04 1.00e+00 1.666258442e+02 1.666435883e+02 3.9e-09 12.76 58 6.7e-06 1.0e-02 4.2e-04 1.00e+00 1.666270428e+02 1.666430126e+02 3.5e-09 13.08 59 6.0e-06 1.0e-02 3.8e-04 1.00e+00 1.666281206e+02 1.666424935e+02 3.2e-09 13.17 60 5.4e-06 9.9e-03 3.4e-04 1.00e+00 1.666290898e+02 1.666420255e+02 2.9e-09 13.74 61 4.9e-06 9.7e-03 3.1e-04 1.00e+00 1.666299613e+02 1.666416035e+02 2.6e-09 13.89 62 4.4e-06 9.5e-03 2.8e-04 1.00e+00 1.666307450e+02 1.666412230e+02 2.3e-09 14.42 63 4.0e-06 9.4e-03 2.5e-04 1.00e+00 1.666314497e+02 1.666408800e+02 2.1e-09 14.73 64 3.6e-06 9.3e-03 2.3e-04 1.00e+00 1.666320833e+02 1.666405707e+02 1.9e-09 15.49 65 3.2e-06 9.2e-03 2.0e-04 1.00e+00 1.666326531e+02 1.666402918e+02 1.7e-09 15.65 66 2.9e-06 9.1e-03 1.8e-04 1.00e+00 1.666331655e+02 1.666400403e+02 1.5e-09 15.93 67 2.6e-06 9.0e-03 1.6e-04 1.00e+00 1.666336262e+02 1.666398137e+02 1.4e-09 16.65 68 2.3e-06 8.9e-03 1.5e-04 1.00e+00 1.666340406e+02 1.666396094e+02 1.2e-09 16.80 69 2.1e-06 8.8e-03 1.3e-04 1.00e+00 1.666344133e+02 1.666394252e+02 1.1e-09 16.86 70 1.9e-06 8.7e-03 1.2e-04 1.00e+00 1.666347486e+02 1.666392593e+02 1.0e-09 16.90 71 1.7e-06 8.6e-03 1.1e-04 1.00e+00 1.666350501e+02 1.666391098e+02 9.0e-10 16.93 72 1.5e-06 8.6e-03 9.7e-05 1.00e+00 1.666353213e+02 1.666389750e+02 8.1e-10 16.95 73 1.4e-06 8.5e-03 8.7e-05 1.00e+00 1.666355652e+02 1.666388536e+02 7.3e-10 17.20 74 1.2e-06 8.5e-03 7.9e-05 1.00e+00 1.666357847e+02 1.666387442e+02 6.5e-10 17.32 75 1.1e-06 8.4e-03 7.1e-05 1.00e+00 1.666359820e+02 1.666386456e+02 5.9e-10 17.79 76 1.0e-06 8.4e-03 6.4e-05 1.00e+00 1.666361595e+02 1.666385568e+02 5.3e-10 18.07 77 9.1e-07 8.3e-03 5.7e-05 1.00e+00 1.666363191e+02 1.666384767e+02 4.8e-10 18.52 78 8.2e-07 8.3e-03 5.2e-05 1.00e+00 1.666364627e+02 1.666384046e+02 4.3e-10 19.03 79 7.3e-07 8.3e-03 4.6e-05 1.00e+00 1.666365918e+02 1.666383395e+02 3.9e-10 19.12 80 6.6e-07 8.2e-03 4.2e-05 1.00e+00 1.666367079e+02 1.666382808e+02 3.5e-10 19.21 81 6.0e-07 8.2e-03 3.8e-05 1.00e+00 1.666368124e+02 1.666382280e+02 3.1e-10 19.69 82 5.4e-07 8.2e-03 3.4e-05 1.00e+00 1.666369063e+02 1.666381803e+02 2.8e-10 19.97 83 4.8e-07 8.1e-03 3.0e-05 1.00e+00 1.666369907e+02 1.666381373e+02 2.5e-10 19.98 84 4.3e-07 8.1e-03 2.7e-05 1.00e+00 1.666370666e+02 1.666380986e+02 2.3e-10 19.98 85 3.9e-07 8.1e-03 2.5e-05 1.00e+00 1.666371349e+02 1.666380636e+02 2.0e-10 19.99 86 3.5e-07 8.1e-03 2.2e-05 1.00e+00 1.666371963e+02 1.666380322e+02 1.8e-10 20.00 87 3.2e-07 8.0e-03 2.0e-05 1.00e+00 1.666372515e+02 1.666380038e+02 1.7e-10 20.10 88 2.8e-07 8.0e-03 1.8e-05 1.00e+00 1.666373012e+02 1.666379782e+02 1.5e-10 20.11 89 2.6e-07 8.0e-03 1.6e-05 1.00e+00 1.666373458e+02 1.666379552e+02 1.3e-10 20.12 90 2.3e-07 8.0e-03 1.5e-05 9.99e-01 1.666373860e+02 1.666379344e+02 1.2e-10 20.13 91 2.1e-07 7.9e-03 1.3e-05 1.00e+00 1.666374222e+02 1.666379157e+02 1.1e-10 20.14 92 1.9e-07 7.9e-03 1.2e-05 1.00e+00 1.666374547e+02 1.666378989e+02 9.8e-11 20.15 93 1.7e-07 7.9e-03 1.1e-05 1.00e+00 1.666374840e+02 1.666378837e+02 8.8e-11 20.16 94 1.5e-07 7.9e-03 9.6e-06 1.00e+00 1.666375103e+02 1.666378701e+02 7.9e-11 20.18 95 1.4e-07 7.9e-03 8.6e-06 1.00e+00 1.666375340e+02 1.666378578e+02 7.1e-11 20.19 96 1.2e-07 7.9e-03 7.7e-06 1.00e+00 1.666375553e+02 1.666378467e+02 6.4e-11 20.20 97 1.1e-07 7.1e-03 7.0e-06 1.00e+00 1.666375747e+02 1.666378366e+02 5.8e-11 20.78 98 9.9e-08 6.4e-03 6.3e-06 9.99e-01 1.666375919e+02 1.666378277e+02 5.2e-11 20.80 99 8.9e-08 5.7e-03 5.6e-06 1.00e+00 1.666376074e+02 1.666378196e+02 4.7e-11 20.81 100 8.0e-08 5.2e-03 5.1e-06 1.00e+00 1.666376214e+02 1.666378123e+02 4.2e-11 20.82 101 7.2e-08 4.6e-03 4.6e-06 9.98e-01 1.666376340e+02 1.666378058e+02 3.8e-11 20.83 102 6.5e-08 4.2e-03 4.1e-06 9.95e-01 1.666376453e+02 1.666378000e+02 3.4e-11 20.84 103 5.9e-08 3.8e-03 3.7e-06 1.00e+00 1.666376554e+02 1.666377947e+02 3.1e-11 21.36 104 5.3e-08 3.4e-03 3.3e-06 9.98e-01 1.666376646e+02 1.666377899e+02 2.8e-11 21.62 105 4.7e-08 3.0e-03 3.0e-06 9.93e-01 1.666376728e+02 1.666377856e+02 2.5e-11 21.99 106 4.3e-08 2.7e-03 2.7e-06 1.00e+00 1.666376803e+02 1.666377817e+02 2.2e-11 22.76 107 3.8e-08 2.5e-03 2.4e-06 9.99e-01 1.666376870e+02 1.666377783e+02 2.0e-11 23.03 108 3.5e-08 2.2e-03 2.2e-06 9.83e-01 1.666376930e+02 1.666377752e+02 1.8e-11 23.57 109 3.1e-08 2.0e-03 2.0e-06 1.00e+00 1.666376984e+02 1.666377724e+02 1.6e-11 23.59 110 2.8e-08 1.8e-03 1.8e-06 9.89e-01 1.666377032e+02 1.666377699e+02 1.5e-11 23.69 111 2.5e-08 1.6e-03 1.6e-06 9.89e-01 1.666377076e+02 1.666377676e+02 1.3e-11 24.68 112 2.3e-08 1.5e-03 1.4e-06 1.01e+00 1.666377116e+02 1.666377655e+02 1.2e-11 24.86 113 2.0e-08 1.3e-03 1.3e-06 1.01e+00 1.666377153e+02 1.666377635e+02 1.1e-11 25.38 114 1.8e-08 1.2e-03 1.2e-06 9.88e-01 1.666377185e+02 1.666377619e+02 9.8e-12 25.87 115 1.7e-08 1.1e-03 1.0e-06 1.00e+00 1.666377214e+02 1.666377604e+02 8.8e-12 25.89 116 1.5e-08 9.5e-04 9.4e-07 1.00e+00 1.666377239e+02 1.666377590e+02 7.9e-12 25.91 117 1.3e-08 8.6e-04 8.5e-07 1.01e+00 1.666377263e+02 1.666377578e+02 7.1e-12 26.41 118 1.2e-08 7.7e-04 7.6e-07 1.02e+00 1.666377285e+02 1.666377566e+02 6.5e-12 27.00 119 1.1e-08 7.0e-04 6.9e-07 9.68e-01 1.666377303e+02 1.666377557e+02 5.8e-12 27.67 120 9.8e-09 6.3e-04 6.2e-07 1.01e+00 1.666377321e+02 1.666377548e+02 5.3e-12 28.12 121 8.8e-09 5.6e-04 5.6e-07 1.08e+00 1.666377342e+02 1.666377536e+02 4.9e-12 28.15 122 8.0e-09 5.1e-04 5.0e-07 9.89e-01 1.666377354e+02 1.666377530e+02 4.4e-12 28.46 123 7.2e-09 4.6e-04 4.5e-07 1.02e+00 1.666377367e+02 1.666377523e+02 4.0e-12 28.69 124 6.5e-09 4.1e-04 4.1e-07 9.78e-01 1.666377377e+02 1.666377518e+02 3.6e-12 29.25 125 5.9e-09 3.7e-04 3.6e-07 1.08e+00 1.666377390e+02 1.666377511e+02 3.4e-12 29.97 126 5.3e-09 3.3e-04 3.3e-07 9.86e-01 1.666377398e+02 1.666377507e+02 3.1e-12 30.23 127 4.8e-09 3.0e-04 3.0e-07 9.81e-01 1.666377405e+02 1.666377503e+02 2.8e-12 30.29 128 4.3e-09 2.7e-04 2.7e-07 1.02e+00 1.666377412e+02 1.666377499e+02 2.5e-12 31.08 129 3.8e-09 1.5e-05 1.5e-08 9.20e-01 1.666377468e+02 1.666377473e+02 2.3e-13 31.86 Interior-point optimizer terminated. Time: 31.86. Optimizer terminated. Time: 31.87 solsta = 1, prosta = 1 Interior-point solution summary Problem status : PRIMAL_AND_DUAL_FEASIBLE Solution status : OPTIMAL Primal. obj: 1.6663774679e+02 Viol. con: 9e-08 var: 0e+00 Dual. obj: 1.6663774731e+02 Viol. con: 0e+00 var: 1e-04 * End solution on dual form. * Transforming to primal solution. Solving took 31.9 seconds. Using solver 'mosek' Solving for 1768 variables. Number of Hessian non-zeros: 2054 * Solving exponential optimization problem on dual form. * * The following log information refers to the solution of the dual problem. * Computer Platform : MACOSX/64-X86 Cores : 4 Problem Name : Objective sense : max Type : GECO (general convex optimization problem) Constraints : 1769 Cones : 0 Scalar variables : 6131 Matrix variables : 0 Integer variables : 0 Optimizer started. Interior-point optimizer started. Presolve started. Linear dependency checker started. Linear dependency checker terminated. Eliminator started. Total number of eliminations : 932 Eliminator terminated. Eliminator started. Total number of eliminations : 944 Eliminator terminated. Eliminator - tries : 2 time : 0.00 Eliminator - elim's : 944 Lin. dep. - tries : 1 time : 0.00 Lin. dep. - number : 0 Presolve terminated. Time: 0.01 Matrix reordering started. Local matrix reordering started. Local matrix reordering terminated. Matrix reordering terminated. Optimizer - threads : 4 Optimizer - solved problem : the primal Optimizer - Constraints : 776 Optimizer - Cones : 0 Optimizer - Scalar variables : 3452 conic : 0 Optimizer - Semi-definite variables: 0 scalarized : 0 Factor - setup time : 0.08 dense det. time : 0.00 Factor - ML order time : 0.00 GP order time : 0.02 Factor - nonzeros before factor : 1.65e+04 after factor : 1.50e+05 Factor - dense dim. : 0 flops : 0.00e+00 Factor - GP saved nzs : 0 GP saved flops : 0.00e+00 ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME 0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.281947619e+05 2.000000000e+00 1.0e+00 0.10 1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.260529456e+05 3.567038683e+00 4.8e-01 0.59 2 4.3e+02 5.5e+02 2.4e+04 -9.37e-01 -1.199178164e+05 1.011823449e+01 1.9e-01 1.19 3 2.9e+02 3.7e+02 1.6e+04 -8.40e-01 -1.152760522e+05 6.284874643e+01 1.3e-01 1.35 4 2.9e+02 3.7e+02 1.6e+04 -7.60e-01 -1.125798304e+05 2.338618759e+03 1.3e-01 1.61 5 7.3e+01 9.3e+01 4.0e+03 -7.53e-01 -7.321575602e+04 1.002871928e+04 3.2e-02 2.20 6 3.6e+01 4.5e+01 2.0e+03 -1.76e-01 -4.601689251e+04 1.018884376e+04 1.6e-02 2.23 7 2.1e+01 2.6e+01 1.1e+03 2.94e-01 -3.047978778e+04 6.899549124e+03 9.1e-03 2.26 8 1.2e+01 1.5e+01 6.7e+02 5.72e-01 -1.903301823e+04 4.475402015e+03 5.3e-03 2.63 9 4.6e+00 5.9e+00 2.6e+02 7.59e-01 -7.495636309e+03 2.146505194e+03 2.0e-03 2.76 10 2.2e+00 2.8e+00 1.2e+02 9.29e-01 -3.353646334e+03 1.377851105e+03 9.8e-04 2.89 11 1.5e+00 1.9e+00 8.2e+01 9.79e-01 -2.210978559e+03 9.609868719e+02 6.6e-04 3.69 12 8.6e-01 1.1e+00 4.8e+01 9.85e-01 -1.225035375e+03 6.312886270e+02 3.8e-04 4.02 13 7.4e-01 9.9e-01 4.1e+01 9.55e-01 -1.062787046e+03 5.628135960e+02 3.3e-04 4.23 14 5.5e-01 7.4e-01 3.1e+01 9.88e-01 -7.429105746e+02 4.752640602e+02 2.5e-04 4.47 15 1.7e-01 2.5e-01 9.5e+00 9.91e-01 -1.280755482e+02 2.450100575e+02 7.7e-05 5.47 16 9.6e-02 1.6e-01 5.5e+00 1.01e+00 -7.995781364e+00 2.069290218e+02 4.5e-05 5.56 17 9.5e-02 1.5e-01 5.5e+00 1.02e+00 -6.436224775e+00 2.070556438e+02 4.4e-05 5.68 18 8.6e-02 1.4e-01 4.9e+00 1.02e+00 1.598118411e+01 2.078544256e+02 4.0e-05 5.79 19 4.9e-02 8.5e-02 2.8e+00 1.02e+00 8.164126624e+01 1.897431169e+02 2.3e-05 6.50 20 1.7e-02 8.6e-02 9.9e-01 1.02e+00 1.374440197e+02 1.752958461e+02 8.0e-06 6.63 21 4.6e-03 2.2e-01 2.7e-01 1.01e+00 1.589784776e+02 1.693718123e+02 2.2e-06 6.70 22 3.2e-03 2.5e-01 1.9e-01 1.00e+00 1.612451824e+02 1.684218667e+02 1.5e-06 6.72 23 1.2e-03 1.4e-01 7.1e-02 1.00e+00 1.645949446e+02 1.672907122e+02 5.7e-07 6.77 24 9.0e-04 1.1e-01 5.4e-02 9.93e-01 1.650503670e+02 1.671104665e+02 4.4e-07 6.79 25 3.7e-04 8.4e-02 2.3e-02 9.83e-01 1.659093328e+02 1.667859866e+02 1.9e-07 7.53 26 2.0e-04 6.9e-02 1.3e-02 1.01e+00 1.661934527e+02 1.666724334e+02 1.0e-07 7.93 27 1.5e-04 6.4e-02 9.6e-03 1.01e+00 1.662782819e+02 1.666425435e+02 7.9e-08 8.05 28 1.4e-04 5.9e-02 8.6e-03 1.01e+00 1.663052044e+02 1.666328580e+02 7.1e-08 8.16 29 1.3e-04 5.3e-02 7.8e-03 1.01e+00 1.663279856e+02 1.666228061e+02 6.4e-08 8.40 30 1.1e-04 4.9e-02 7.0e-03 1.01e+00 1.663486757e+02 1.666139645e+02 5.8e-08 8.89 31 1.0e-04 4.5e-02 6.3e-03 1.01e+00 1.663672034e+02 1.666059229e+02 5.2e-08 8.95 32 9.1e-05 4.1e-02 5.7e-03 1.01e+00 1.663838363e+02 1.665986511e+02 4.7e-08 9.00 33 8.2e-05 3.7e-02 5.1e-03 1.00e+00 1.663987618e+02 1.665920687e+02 4.2e-08 9.02 34 7.4e-05 3.4e-02 4.6e-03 1.00e+00 1.664121577e+02 1.665861130e+02 3.8e-08 9.04 35 6.7e-05 3.2e-02 4.1e-03 1.00e+00 1.664241820e+02 1.665807250e+02 3.4e-08 9.06 36 6.0e-05 2.9e-02 3.7e-03 1.00e+00 1.664349764e+02 1.665758519e+02 3.1e-08 9.34 37 5.4e-05 2.7e-02 3.3e-03 1.00e+00 1.664446678e+02 1.665714454e+02 2.8e-08 10.04 38 4.9e-05 2.5e-02 3.0e-03 1.00e+00 1.664533698e+02 1.665674615e+02 2.5e-08 10.31 39 4.4e-05 2.3e-02 2.7e-03 1.00e+00 1.664611843e+02 1.665638605e+02 2.2e-08 10.36 40 3.9e-05 2.2e-02 2.4e-03 1.00e+00 1.664682025e+02 1.665606062e+02 2.0e-08 10.48 41 3.5e-05 2.0e-02 2.2e-03 1.00e+00 1.664745061e+02 1.665576657e+02 1.8e-08 10.69 42 3.2e-05 1.9e-02 2.0e-03 1.00e+00 1.664801685e+02 1.665550093e+02 1.6e-08 11.22 43 2.9e-05 1.8e-02 1.8e-03 1.00e+00 1.664852553e+02 1.665526099e+02 1.5e-08 11.26 44 2.6e-05 1.7e-02 1.6e-03 1.00e+00 1.664898255e+02 1.665504432e+02 1.3e-08 11.29 45 2.3e-05 1.6e-02 1.4e-03 1.00e+00 1.664939320e+02 1.665484868e+02 1.2e-08 11.33 46 2.1e-05 1.5e-02 1.3e-03 1.00e+00 1.664976222e+02 1.665467207e+02 1.1e-08 11.62 47 1.9e-05 1.4e-02 1.2e-03 1.00e+00 1.665009386e+02 1.665451267e+02 9.6e-09 12.05 48 1.7e-05 1.4e-02 1.1e-03 1.00e+00 1.665039194e+02 1.665436883e+02 8.7e-09 12.77 49 1.5e-05 1.3e-02 9.5e-04 1.00e+00 1.665065988e+02 1.665423907e+02 7.8e-09 13.14 50 1.4e-05 1.3e-02 8.5e-04 1.00e+00 1.665090076e+02 1.665412202e+02 7.0e-09 13.35 51 1.2e-05 1.2e-02 7.7e-04 1.00e+00 1.665111732e+02 1.665401646e+02 6.3e-09 13.40 52 1.1e-05 1.2e-02 6.9e-04 1.00e+00 1.665131206e+02 1.665392129e+02 5.7e-09 13.42 53 1.0e-05 1.1e-02 6.2e-04 1.00e+00 1.665148718e+02 1.665383550e+02 5.1e-09 13.45 54 9.0e-06 1.1e-02 5.6e-04 1.00e+00 1.665164466e+02 1.665375817e+02 4.6e-09 13.48 55 8.1e-06 1.1e-02 5.0e-04 1.00e+00 1.665178631e+02 1.665368848e+02 4.1e-09 13.49 56 7.3e-06 1.0e-02 4.5e-04 1.00e+00 1.665191371e+02 1.665362568e+02 3.7e-09 13.52 57 6.6e-06 1.0e-02 4.1e-04 1.00e+00 1.665202831e+02 1.665356909e+02 3.4e-09 13.53 58 5.9e-06 1.0e-02 3.7e-04 1.00e+00 1.665213140e+02 1.665351811e+02 3.0e-09 14.14 59 5.3e-06 9.8e-03 3.3e-04 1.00e+00 1.665222413e+02 1.665347218e+02 2.7e-09 14.26 60 4.8e-06 9.6e-03 3.0e-04 1.00e+00 1.665230754e+02 1.665343081e+02 2.5e-09 14.39 61 4.3e-06 9.5e-03 2.7e-04 1.00e+00 1.665238258e+02 1.665339352e+02 2.2e-09 14.78 62 3.9e-06 9.3e-03 2.4e-04 1.00e+00 1.665245007e+02 1.665335993e+02 2.0e-09 15.06 63 3.5e-06 9.2e-03 2.2e-04 1.00e+00 1.665251078e+02 1.665332966e+02 1.8e-09 15.53 64 3.1e-06 9.1e-03 1.9e-04 1.00e+00 1.665256538e+02 1.665330238e+02 1.6e-09 15.77 65 2.8e-06 9.0e-03 1.8e-04 1.00e+00 1.665261449e+02 1.665327780e+02 1.4e-09 15.79 66 2.5e-06 8.9e-03 1.6e-04 1.00e+00 1.665265867e+02 1.665325565e+02 1.3e-09 15.81 67 2.3e-06 8.8e-03 1.4e-04 1.00e+00 1.665269840e+02 1.665323570e+02 1.2e-09 16.16 68 2.1e-06 8.7e-03 1.3e-04 1.00e+00 1.665273415e+02 1.665321772e+02 1.1e-09 16.44 69 1.9e-06 8.6e-03 1.2e-04 1.00e+00 1.665276631e+02 1.665320153e+02 9.5e-10 16.56 70 1.7e-06 8.6e-03 1.0e-04 1.00e+00 1.665279525e+02 1.665318695e+02 8.6e-10 16.94 71 1.5e-06 8.5e-03 9.3e-05 1.00e+00 1.665282127e+02 1.665317381e+02 7.7e-10 17.55 72 1.3e-06 8.5e-03 8.4e-05 1.00e+00 1.665284469e+02 1.665316198e+02 6.9e-10 17.68 73 1.2e-06 8.4e-03 7.6e-05 1.00e+00 1.665286575e+02 1.665315132e+02 6.2e-10 17.81 74 1.1e-06 8.4e-03 6.8e-05 1.00e+00 1.665288470e+02 1.665314171e+02 5.6e-10 17.93 75 9.8e-07 8.3e-03 6.1e-05 1.00e+00 1.665290175e+02 1.665313306e+02 5.1e-10 17.95 76 8.9e-07 8.3e-03 5.5e-05 1.00e+00 1.665291708e+02 1.665312526e+02 4.5e-10 17.98 77 8.0e-07 8.3e-03 5.0e-05 1.00e+00 1.665293087e+02 1.665311824e+02 4.1e-10 18.00 78 7.2e-07 8.2e-03 4.5e-05 1.00e+00 1.665294327e+02 1.665311191e+02 3.7e-10 18.04 79 6.5e-07 8.2e-03 4.0e-05 1.00e+00 1.665295443e+02 1.665310621e+02 3.3e-10 18.81 80 5.8e-07 8.2e-03 3.6e-05 1.00e+00 1.665296446e+02 1.665310106e+02 3.0e-10 18.97 81 5.2e-07 8.1e-03 3.3e-05 1.00e+00 1.665297349e+02 1.665309643e+02 2.7e-10 19.34 82 4.7e-07 8.1e-03 2.9e-05 1.00e+00 1.665298160e+02 1.665309225e+02 2.4e-10 19.70 83 4.2e-07 8.1e-03 2.6e-05 1.00e+00 1.665298890e+02 1.665308848e+02 2.2e-10 19.81 84 3.8e-07 8.1e-03 2.4e-05 9.99e-01 1.665299546e+02 1.665308509e+02 2.0e-10 20.05 85 3.4e-07 8.0e-03 2.1e-05 1.00e+00 1.665300136e+02 1.665308203e+02 1.8e-10 20.28 86 3.1e-07 8.0e-03 1.9e-05 1.00e+00 1.665300666e+02 1.665307927e+02 1.6e-10 20.30 87 2.8e-07 8.0e-03 1.7e-05 1.00e+00 1.665301144e+02 1.665307677e+02 1.4e-10 20.32 88 2.5e-07 8.0e-03 1.6e-05 1.00e+00 1.665301573e+02 1.665307453e+02 1.3e-10 20.34 89 2.3e-07 8.0e-03 1.4e-05 1.00e+00 1.665301959e+02 1.665307251e+02 1.2e-10 20.85 90 2.0e-07 7.9e-03 1.3e-05 1.00e+00 1.665302307e+02 1.665307069e+02 1.0e-10 21.27 91 1.8e-07 7.9e-03 1.1e-05 1.00e+00 1.665302619e+02 1.665306906e+02 9.4e-11 21.61 92 1.6e-07 7.9e-03 1.0e-05 1.00e+00 1.665302901e+02 1.665306758e+02 8.4e-11 22.05 93 1.5e-07 7.9e-03 9.2e-06 9.99e-01 1.665303154e+02 1.665306625e+02 7.6e-11 22.21 94 1.3e-07 7.9e-03 8.3e-06 1.00e+00 1.665303381e+02 1.665306506e+02 6.8e-11 22.35 95 1.2e-07 7.1e-03 7.4e-06 1.01e+00 1.665303588e+02 1.665306396e+02 6.1e-11 22.51 96 1.1e-07 6.4e-03 6.7e-06 1.00e+00 1.665303772e+02 1.665306299e+02 5.5e-11 22.55 97 9.7e-08 5.7e-03 6.0e-06 1.00e+00 1.665303939e+02 1.665306211e+02 5.0e-11 22.57 98 8.7e-08 5.2e-03 5.4e-06 1.00e+00 1.665304089e+02 1.665306133e+02 4.5e-11 23.37 99 7.8e-08 4.6e-03 4.9e-06 1.00e+00 1.665304223e+02 1.665306062e+02 4.0e-11 23.93 100 7.1e-08 4.2e-03 4.4e-06 9.98e-01 1.665304343e+02 1.665305999e+02 3.6e-11 24.14 101 6.4e-08 3.8e-03 4.0e-06 1.00e+00 1.665304452e+02 1.665305941e+02 3.3e-11 24.72 102 5.7e-08 3.4e-03 3.6e-06 1.00e+00 1.665304550e+02 1.665305890e+02 2.9e-11 24.77 103 5.1e-08 3.0e-03 3.2e-06 9.98e-01 1.665304637e+02 1.665305844e+02 2.7e-11 24.79 104 4.6e-08 2.7e-03 2.9e-06 9.94e-01 1.665304716e+02 1.665305803e+02 2.4e-11 25.31 105 4.2e-08 2.5e-03 2.6e-06 1.00e+00 1.665304787e+02 1.665305765e+02 2.1e-11 25.65 106 3.8e-08 2.2e-03 2.3e-06 1.01e+00 1.665304853e+02 1.665305730e+02 1.9e-11 26.13 107 3.4e-08 2.0e-03 2.1e-06 9.87e-01 1.665304910e+02 1.665305701e+02 1.7e-11 26.19 108 3.0e-08 1.8e-03 1.9e-06 1.01e+00 1.665304965e+02 1.665305672e+02 1.6e-11 26.80 109 2.7e-08 1.6e-03 1.7e-06 9.93e-01 1.665305011e+02 1.665305647e+02 1.4e-11 27.01 110 2.5e-08 1.5e-03 1.5e-06 9.95e-01 1.665305052e+02 1.665305626e+02 1.3e-11 27.11 111 2.2e-08 1.3e-03 1.4e-06 9.85e-01 1.665305090e+02 1.665305606e+02 1.1e-11 27.78 112 2.0e-08 1.2e-03 1.2e-06 9.86e-01 1.665305124e+02 1.665305589e+02 1.0e-11 27.95 113 1.8e-08 1.1e-03 1.1e-06 9.91e-01 1.665305154e+02 1.665305573e+02 9.3e-12 28.30 114 1.6e-08 9.6e-04 1.0e-06 9.57e-01 1.665305181e+02 1.665305559e+02 8.4e-12 28.70 115 1.5e-08 8.6e-04 9.0e-07 1.00e+00 1.665305206e+02 1.665305546e+02 7.5e-12 29.18 116 1.3e-08 7.7e-04 8.1e-07 1.04e+00 1.665305232e+02 1.665305531e+02 6.9e-12 29.26 117 1.2e-08 7.0e-04 7.3e-07 1.00e+00 1.665305252e+02 1.665305521e+02 6.2e-12 29.35 118 1.1e-08 6.3e-04 6.6e-07 1.01e+00 1.665305270e+02 1.665305511e+02 5.6e-12 30.02 119 9.6e-09 5.6e-04 5.9e-07 1.04e+00 1.665305288e+02 1.665305501e+02 5.2e-12 30.34 120 8.6e-09 5.1e-04 5.3e-07 9.64e-01 1.665305302e+02 1.665305494e+02 4.6e-12 30.69 121 7.7e-09 4.6e-04 4.8e-07 1.05e+00 1.665305317e+02 1.665305486e+02 4.3e-12 31.10 122 7.0e-09 4.1e-04 4.3e-07 9.74e-01 1.665305328e+02 1.665305480e+02 3.8e-12 31.86 123 6.3e-09 3.7e-04 3.9e-07 1.04e+00 1.665305340e+02 1.665305474e+02 3.5e-12 32.34 124 5.7e-09 3.3e-04 3.5e-07 9.28e-01 1.665305349e+02 1.665305470e+02 3.2e-12 32.72 125 5.2e-09 3.0e-04 3.2e-07 1.00e+00 1.665305356e+02 1.665305465e+02 2.9e-12 33.00 126 4.7e-09 2.7e-04 2.8e-07 1.14e+00 1.665305368e+02 1.665305458e+02 2.8e-12 33.63 127 1.6e-09 1.6e-05 1.7e-08 9.01e-01 1.665305426e+02 1.665305431e+02 2.8e-13 33.78 Interior-point optimizer terminated. Time: 33.78. Optimizer terminated. Time: 33.79 solsta = 1, prosta = 1 Interior-point solution summary Problem status : PRIMAL_AND_DUAL_FEASIBLE Solution status : OPTIMAL Primal. obj: 1.6653054258e+02 Viol. con: 3e-08 var: 0e+00 Dual. obj: 1.6653054313e+02 Viol. con: 0e+00 var: 9e-05 * End solution on dual form. * Transforming to primal solution. Solving took 33.8 seconds. Using solver 'mosek' Solving for 1768 variables. Number of Hessian non-zeros: 2054 * Solving exponential optimization problem on dual form. * * The following log information refers to the solution of the dual problem. * Computer Platform : MACOSX/64-X86 Cores : 4 Problem Name : Objective sense : max Type : GECO (general convex optimization problem) Constraints : 1769 Cones : 0 Scalar variables : 6131 Matrix variables : 0 Integer variables : 0 Optimizer started. Interior-point optimizer started. Presolve started. Linear dependency checker started. Linear dependency checker terminated. Eliminator started. Total number of eliminations : 932 Eliminator terminated. Eliminator started. Total number of eliminations : 944 Eliminator terminated. Eliminator - tries : 2 time : 0.00 Eliminator - elim's : 944 Lin. dep. - tries : 1 time : 0.00 Lin. dep. - number : 0 Presolve terminated. Time: 0.01 Matrix reordering started. Local matrix reordering started. Local matrix reordering terminated. Matrix reordering terminated. Optimizer - threads : 4 Optimizer - solved problem : the primal Optimizer - Constraints : 776 Optimizer - Cones : 0 Optimizer - Scalar variables : 3452 conic : 0 Optimizer - Semi-definite variables: 0 scalarized : 0 Factor - setup time : 0.02 dense det. time : 0.00 Factor - ML order time : 0.00 GP order time : 0.02 Factor - nonzeros before factor : 1.65e+04 after factor : 1.50e+05 Factor - dense dim. : 0 flops : 0.00e+00 Factor - GP saved nzs : 0 GP saved flops : 0.00e+00 ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME 0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.281910007e+05 2.000000000e+00 1.0e+00 0.03 1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.260388211e+05 3.562416878e+00 4.8e-01 0.66 2 4.3e+02 5.4e+02 2.4e+04 -9.36e-01 -1.198568685e+05 1.018649402e+01 1.9e-01 0.99 3 2.9e+02 3.6e+02 1.6e+04 -8.39e-01 -1.151988238e+05 6.373047177e+01 1.2e-01 1.25 4 2.8e+02 3.6e+02 1.6e+04 -7.60e-01 -1.125292472e+05 2.317564591e+03 1.2e-01 1.46 5 7.5e+01 9.5e+01 4.1e+03 -7.52e-01 -7.413280377e+04 9.821159618e+03 3.3e-02 1.49 6 3.3e+01 4.2e+01 1.8e+03 -1.90e-01 -4.310923955e+04 1.040983033e+04 1.4e-02 1.93 7 1.9e+01 2.4e+01 1.1e+03 3.45e-01 -2.829946314e+04 6.951569420e+03 8.4e-03 2.39 8 1.1e+01 1.4e+01 6.2e+02 6.09e-01 -1.786043126e+04 4.385657060e+03 5.0e-03 2.75 9 4.5e+00 5.7e+00 2.5e+02 7.77e-01 -7.289191921e+03 2.109108625e+03 2.0e-03 3.03 10 2.1e+00 2.6e+00 1.1e+02 9.30e-01 -3.104831001e+03 1.310263294e+03 9.1e-04 3.25 11 1.3e+00 1.6e+00 7.1e+01 9.82e-01 -1.894495039e+03 8.669865363e+02 5.7e-04 3.65 12 8.0e-01 1.0e+00 4.5e+01 9.84e-01 -1.138773205e+03 6.058225128e+02 3.6e-04 3.67 13 5.8e-01 7.8e-01 3.3e+01 9.59e-01 -8.085972854e+02 4.782431014e+02 2.6e-04 3.70 14 4.0e-01 5.3e-01 2.2e+01 9.98e-01 -4.785714241e+02 3.978163613e+02 1.8e-04 3.72 15 1.7e-01 2.4e-01 9.9e+00 9.93e-01 -1.310504646e+02 2.549827206e+02 7.9e-05 3.74 16 8.7e-02 1.4e-01 5.0e+00 1.01e+00 1.036022507e+01 2.048600165e+02 4.0e-05 3.79 17 7.7e-02 1.2e-01 4.4e+00 1.02e+00 3.259402589e+01 2.038110040e+02 3.6e-05 4.17 18 3.1e-02 7.3e-02 1.8e+00 1.02e+00 1.135865965e+02 1.813719726e+02 1.4e-05 4.41 19 8.5e-03 1.8e-01 4.9e-01 1.01e+00 1.524144819e+02 1.713318896e+02 4.0e-06 4.72 20 2.5e-03 1.5e-01 1.5e-01 1.00e+00 1.621495549e+02 1.679102246e+02 1.2e-06 5.27 21 1.5e-03 1.1e-01 9.0e-02 1.00e+00 1.639366446e+02 1.673929009e+02 7.3e-07 5.44 22 4.7e-04 1.1e-01 2.9e-02 1.01e+00 1.656859482e+02 1.667891425e+02 2.4e-07 5.78 23 1.5e-04 1.1e-01 9.6e-03 1.01e+00 1.662183113e+02 1.665842703e+02 8.1e-08 5.94 24 1.4e-04 1.0e-01 8.7e-03 1.01e+00 1.662462830e+02 1.665754936e+02 7.3e-08 6.07 25 6.3e-05 8.6e-02 4.0e-03 1.01e+00 1.663693221e+02 1.665220898e+02 3.4e-08 6.60 26 5.7e-05 7.8e-02 3.6e-03 1.01e+00 1.663810875e+02 1.665186082e+02 3.1e-08 6.61 27 5.1e-05 7.1e-02 3.3e-03 1.01e+00 1.663905883e+02 1.665143086e+02 2.8e-08 6.62 28 4.6e-05 6.4e-02 2.9e-03 1.01e+00 1.663992484e+02 1.665105665e+02 2.5e-08 6.64 29 4.1e-05 5.9e-02 2.7e-03 1.01e+00 1.664070014e+02 1.665071613e+02 2.2e-08 6.65 30 3.7e-05 5.4e-02 2.4e-03 1.01e+00 1.664139650e+02 1.665040875e+02 2.0e-08 6.66 31 3.3e-05 4.9e-02 2.1e-03 1.01e+00 1.664202168e+02 1.665013094e+02 1.8e-08 6.72 32 3.0e-05 4.5e-02 1.9e-03 1.01e+00 1.664258309e+02 1.664987999e+02 1.6e-08 6.73 33 2.7e-05 4.1e-02 1.7e-03 1.01e+00 1.664308728e+02 1.664965332e+02 1.5e-08 6.74 34 2.4e-05 3.8e-02 1.6e-03 1.00e+00 1.664354015e+02 1.664944863e+02 1.3e-08 6.75 35 2.2e-05 3.5e-02 1.4e-03 1.00e+00 1.664394695e+02 1.664926382e+02 1.2e-08 6.76 36 2.0e-05 3.2e-02 1.3e-03 1.00e+00 1.664431243e+02 1.664909698e+02 1.1e-08 6.77 37 1.8e-05 3.0e-02 1.1e-03 1.00e+00 1.664464081e+02 1.664894640e+02 9.6e-09 6.78 38 1.6e-05 2.8e-02 1.0e-03 1.00e+00 1.664493590e+02 1.664881052e+02 8.7e-09 6.79 39 1.4e-05 2.6e-02 9.2e-04 1.00e+00 1.664520109e+02 1.664868792e+02 7.8e-09 6.80 40 1.3e-05 2.4e-02 8.3e-04 1.00e+00 1.664543944e+02 1.664857733e+02 7.0e-09 6.82 41 1.2e-05 2.2e-02 7.5e-04 1.00e+00 1.664565369e+02 1.664847758e+02 6.3e-09 6.84 42 1.0e-05 2.1e-02 6.7e-04 1.00e+00 1.664584630e+02 1.664838763e+02 5.7e-09 6.85 43 9.4e-06 1.9e-02 6.1e-04 1.00e+00 1.664601946e+02 1.664830653e+02 5.1e-09 6.86 44 8.5e-06 1.8e-02 5.5e-04 1.00e+00 1.664617516e+02 1.664823341e+02 4.6e-09 6.87 45 7.7e-06 1.7e-02 4.9e-04 1.00e+00 1.664631517e+02 1.664816751e+02 4.1e-09 6.88 46 6.9e-06 1.6e-02 4.4e-04 1.00e+00 1.664644109e+02 1.664810813e+02 3.7e-09 6.90 47 6.2e-06 1.5e-02 4.0e-04 1.00e+00 1.664655433e+02 1.664805461e+02 3.4e-09 6.91 48 5.6e-06 1.5e-02 3.6e-04 1.00e+00 1.664665618e+02 1.664800640e+02 3.0e-09 6.92 49 5.0e-06 1.4e-02 3.2e-04 1.00e+00 1.664674780e+02 1.664796297e+02 2.7e-09 6.93 50 4.5e-06 1.3e-02 2.9e-04 1.00e+00 1.664683021e+02 1.664792384e+02 2.4e-09 6.94 51 4.1e-06 1.3e-02 2.6e-04 1.00e+00 1.664690435e+02 1.664788859e+02 2.2e-09 6.95 52 3.7e-06 1.2e-02 2.4e-04 1.00e+00 1.664697104e+02 1.664785684e+02 2.0e-09 6.96 53 3.3e-06 1.2e-02 2.1e-04 1.00e+00 1.664703103e+02 1.664782824e+02 1.8e-09 6.97 54 3.0e-06 1.1e-02 1.9e-04 1.00e+00 1.664708499e+02 1.664780248e+02 1.6e-09 7.55 55 2.7e-06 1.1e-02 1.7e-04 1.00e+00 1.664713354e+02 1.664777928e+02 1.4e-09 7.94 56 2.4e-06 1.1e-02 1.5e-04 1.00e+00 1.664717723e+02 1.664775838e+02 1.3e-09 8.06 57 2.2e-06 1.0e-02 1.4e-04 1.00e+00 1.664721653e+02 1.664773957e+02 1.2e-09 8.11 58 1.9e-06 1.0e-02 1.2e-04 1.00e+00 1.664725190e+02 1.664772264e+02 1.1e-09 8.17 59 1.8e-06 9.9e-03 1.1e-04 1.00e+00 1.664728373e+02 1.664770739e+02 9.5e-10 8.20 60 1.6e-06 9.6e-03 1.0e-04 1.00e+00 1.664731238e+02 1.664769367e+02 8.5e-10 8.27 61 1.4e-06 9.4e-03 9.1e-05 1.00e+00 1.664733816e+02 1.664768132e+02 7.7e-10 8.33 62 1.3e-06 9.3e-03 8.2e-05 1.00e+00 1.664736135e+02 1.664767020e+02 6.9e-10 8.57 63 1.1e-06 9.1e-03 7.4e-05 1.00e+00 1.664738223e+02 1.664766019e+02 6.2e-10 8.59 64 1.0e-06 9.0e-03 6.6e-05 1.00e+00 1.664740102e+02 1.664765119e+02 5.6e-10 8.60 65 9.3e-07 8.8e-03 6.0e-05 1.00e+00 1.664741792e+02 1.664764308e+02 5.0e-10 8.61 66 8.4e-07 8.7e-03 5.4e-05 1.00e+00 1.664743314e+02 1.664763578e+02 4.5e-10 8.62 67 7.5e-07 8.6e-03 4.8e-05 1.00e+00 1.664744683e+02 1.664762920e+02 4.1e-10 8.63 68 6.8e-07 8.5e-03 4.4e-05 1.00e+00 1.664745914e+02 1.664762328e+02 3.7e-10 8.64 69 6.1e-07 8.4e-03 3.9e-05 1.00e+00 1.664747022e+02 1.664761795e+02 3.3e-10 8.65 70 5.5e-07 8.3e-03 3.5e-05 1.00e+00 1.664748019e+02 1.664761315e+02 3.0e-10 8.66 71 4.9e-07 8.3e-03 3.2e-05 1.00e+00 1.664748916e+02 1.664760883e+02 2.7e-10 8.67 72 4.4e-07 8.2e-03 2.9e-05 1.00e+00 1.664749723e+02 1.664760493e+02 2.4e-10 8.69 73 4.0e-07 8.1e-03 2.6e-05 1.00e+00 1.664750449e+02 1.664760141e+02 2.2e-10 8.70 74 3.6e-07 8.1e-03 2.3e-05 1.00e+00 1.664751102e+02 1.664759825e+02 2.0e-10 8.71 75 3.2e-07 8.0e-03 2.1e-05 1.00e+00 1.664751689e+02 1.664759540e+02 1.8e-10 8.72 76 2.9e-07 8.0e-03 1.9e-05 1.00e+00 1.664752217e+02 1.664759283e+02 1.6e-10 8.72 77 2.6e-07 7.9e-03 1.7e-05 1.00e+00 1.664752693e+02 1.664759051e+02 1.4e-10 8.73 78 2.4e-07 7.9e-03 1.5e-05 1.00e+00 1.664753120e+02 1.664758843e+02 1.3e-10 8.74 79 2.1e-07 7.9e-03 1.4e-05 1.00e+00 1.664753505e+02 1.664758656e+02 1.2e-10 8.75 80 1.9e-07 7.8e-03 1.2e-05 9.99e-01 1.664753851e+02 1.664758487e+02 1.0e-10 8.76 81 1.7e-07 7.8e-03 1.1e-05 1.00e+00 1.664754163e+02 1.664758335e+02 9.4e-11 8.78 82 1.6e-07 7.8e-03 1.0e-05 1.00e+00 1.664754443e+02 1.664758197e+02 8.4e-11 8.79 83 1.4e-07 7.8e-03 9.0e-06 1.00e+00 1.664754695e+02 1.664758074e+02 7.6e-11 8.80 84 1.3e-07 7.7e-03 8.1e-06 1.00e+00 1.664754922e+02 1.664757963e+02 6.8e-11 8.81 85 1.1e-07 7.7e-03 7.3e-06 9.99e-01 1.664755126e+02 1.664757863e+02 6.1e-11 8.82 86 1.0e-07 6.9e-03 6.5e-06 1.01e+00 1.664755313e+02 1.664757771e+02 5.5e-11 8.83 87 9.2e-08 6.2e-03 5.9e-06 1.00e+00 1.664755479e+02 1.664757690e+02 5.0e-11 8.85 88 8.2e-08 5.6e-03 5.3e-06 9.90e-01 1.664755627e+02 1.664757619e+02 4.5e-11 8.87 89 7.4e-08 5.1e-03 4.8e-06 9.97e-01 1.664755760e+02 1.664757553e+02 4.0e-11 8.88 90 6.7e-08 4.6e-03 4.3e-06 9.96e-01 1.664755881e+02 1.664757495e+02 3.6e-11 8.89 91 6.0e-08 4.1e-03 3.9e-06 1.00e+00 1.664755989e+02 1.664757441e+02 3.3e-11 8.90 92 5.4e-08 3.7e-03 3.5e-06 1.01e+00 1.664756089e+02 1.664757392e+02 2.9e-11 8.91 93 4.9e-08 3.3e-03 3.1e-06 9.96e-01 1.664756177e+02 1.664757349e+02 2.7e-11 8.92 94 4.4e-08 3.0e-03 2.8e-06 9.95e-01 1.664756255e+02 1.664757311e+02 2.4e-11 8.93 95 3.9e-08 2.7e-03 2.5e-06 1.01e+00 1.664756329e+02 1.664757274e+02 2.2e-11 8.94 96 3.6e-08 2.4e-03 2.3e-06 9.91e-01 1.664756392e+02 1.664757244e+02 1.9e-11 8.95 97 3.2e-08 2.2e-03 2.1e-06 1.01e+00 1.664756450e+02 1.664757215e+02 1.8e-11 8.96 98 2.9e-08 2.0e-03 1.8e-06 9.98e-01 1.664756502e+02 1.664757190e+02 1.6e-11 8.97 99 2.6e-08 1.8e-03 1.7e-06 1.00e+00 1.664756548e+02 1.664757167e+02 1.4e-11 8.98 100 2.3e-08 1.6e-03 1.5e-06 1.01e+00 1.664756592e+02 1.664757145e+02 1.3e-11 8.99 101 2.1e-08 1.4e-03 1.3e-06 9.99e-01 1.664756629e+02 1.664757127e+02 1.2e-11 9.00 102 1.9e-08 1.3e-03 1.2e-06 9.91e-01 1.664756662e+02 1.664757111e+02 1.0e-11 9.01 103 1.7e-08 1.2e-03 1.1e-06 1.02e+00 1.664756695e+02 1.664757094e+02 9.5e-12 9.02 104 1.5e-08 1.0e-03 9.8e-07 1.01e+00 1.664756722e+02 1.664757081e+02 8.5e-12 9.03 105 1.4e-08 9.4e-04 8.8e-07 9.87e-01 1.664756746e+02 1.664757069e+02 7.7e-12 9.04 106 1.2e-08 8.4e-04 8.0e-07 9.85e-01 1.664756768e+02 1.664757059e+02 6.9e-12 9.05 107 1.1e-08 7.6e-04 7.2e-07 1.01e+00 1.664756788e+02 1.664757049e+02 6.2e-12 9.06 108 1.0e-08 6.8e-04 6.4e-07 9.60e-01 1.664756806e+02 1.664757041e+02 5.6e-12 9.08 109 9.0e-09 6.2e-04 5.8e-07 9.59e-01 1.664756821e+02 1.664757033e+02 5.1e-12 9.09 110 1.9e-09 6.3e-05 5.9e-08 9.94e-01 1.664756949e+02 1.664756971e+02 5.3e-13 9.10 Interior-point optimizer terminated. Time: 9.10. Optimizer terminated. Time: 9.11 solsta = 1, prosta = 1 Interior-point solution summary Problem status : PRIMAL_AND_DUAL_FEASIBLE Solution status : OPTIMAL Primal. obj: 1.6647569489e+02 Viol. con: 4e-08 var: 0e+00 Dual. obj: 1.6647569707e+02 Viol. con: 0e+00 var: 4e-04 * End solution on dual form. * Transforming to primal solution. Solving took 9.13 seconds. Using solver 'mosek' Solving for 1768 variables. Number of Hessian non-zeros: 2054 * Solving exponential optimization problem on dual form. * * The following log information refers to the solution of the dual problem. * Computer Platform : MACOSX/64-X86 Cores : 4 Problem Name : Objective sense : max Type : GECO (general convex optimization problem) Constraints : 1769 Cones : 0 Scalar variables : 6131 Matrix variables : 0 Integer variables : 0 Optimizer started. Interior-point optimizer started. Presolve started. Linear dependency checker started. Linear dependency checker terminated. Eliminator started. Total number of eliminations : 932 Eliminator terminated. Eliminator started. Total number of eliminations : 944 Eliminator terminated. Eliminator - tries : 2 time : 0.00 Eliminator - elim's : 944 Lin. dep. - tries : 1 time : 0.00 Lin. dep. - number : 0 Presolve terminated. Time: 0.01 Matrix reordering started. Local matrix reordering started. Local matrix reordering terminated. Matrix reordering terminated. Optimizer - threads : 4 Optimizer - solved problem : the primal Optimizer - Constraints : 776 Optimizer - Cones : 0 Optimizer - Scalar variables : 3451 conic : 0 Optimizer - Semi-definite variables: 0 scalarized : 0 Factor - setup time : 0.02 dense det. time : 0.00 Factor - ML order time : 0.00 GP order time : 0.02 Factor - nonzeros before factor : 1.64e+04 after factor : 1.50e+05 Factor - dense dim. : 0 flops : 0.00e+00 Factor - GP saved nzs : 0 GP saved flops : 0.00e+00 ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME 0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.281197861e+05 2.000000000e+00 1.0e+00 0.04 1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.259650266e+05 3.561094595e+00 4.8e-01 0.52 2 4.3e+02 5.4e+02 2.3e+04 -9.36e-01 -1.197555734e+05 1.021867852e+01 1.8e-01 0.83 3 2.9e+02 3.6e+02 1.6e+04 -8.39e-01 -1.150858097e+05 6.418745742e+01 1.2e-01 0.99 4 2.8e+02 3.6e+02 1.6e+04 -7.59e-01 -1.124325304e+05 2.305448640e+03 1.2e-01 1.22 5 7.5e+01 9.5e+01 4.1e+03 -7.52e-01 -7.428051130e+04 9.756408512e+03 3.3e-02 1.50 6 3.0e+01 3.9e+01 1.7e+03 -1.93e-01 -4.041126879e+04 1.037587345e+04 1.3e-02 1.51 7 1.8e+01 2.3e+01 1.0e+03 3.93e-01 -2.698444924e+04 6.759315220e+03 8.0e-03 1.53 8 9.7e+00 1.2e+01 5.4e+02 6.31e-01 -1.558012478e+04 3.925144852e+03 4.3e-03 1.56 9 3.9e+00 5.0e+00 2.2e+02 8.13e-01 -6.376458243e+03 1.908099888e+03 1.7e-03 1.58 10 2.1e+00 2.7e+00 1.2e+02 9.41e-01 -3.267487402e+03 1.216178251e+03 9.3e-04 1.61 11 1.0e+00 1.3e+00 5.8e+01 9.80e-01 -1.522034966e+03 7.367062845e+02 4.7e-04 2.00 12 8.0e-01 1.0e+00 4.5e+01 9.79e-01 -1.157067404e+03 5.992708001e+02 3.6e-04 2.12 13 4.7e-01 6.2e-01 2.6e+01 9.74e-01 -6.218964667e+02 4.222794728e+02 2.1e-04 2.24 14 2.3e-01 9.4e-01 1.3e+01 1.00e+00 -2.250415306e+02 2.955373931e+02 1.1e-04 2.75 15 1.1e-01 4.3e-01 6.1e+00 1.00e+00 -2.238086528e+01 2.143325250e+02 4.9e-05 2.81 16 8.0e-02 3.2e-01 4.6e+00 1.01e+00 2.956744069e+01 2.065242746e+02 3.7e-05 2.90 17 4.4e-02 1.9e-01 2.5e+00 1.02e+00 8.946121709e+01 1.875897805e+02 2.1e-05 3.10 18 1.2e-02 1.6e-01 7.0e-01 1.02e+00 1.463882984e+02 1.733396443e+02 5.7e-06 3.29 19 3.5e-03 1.8e-01 2.1e-01 1.01e+00 1.605148645e+02 1.684778550e+02 1.7e-06 3.42 20 2.0e-03 1.1e-01 1.2e-01 1.01e+00 1.630965986e+02 1.676296030e+02 9.7e-07 3.66 21 6.2e-04 1.3e-01 3.8e-02 1.01e+00 1.654049139e+02 1.668595878e+02 3.1e-07 3.84 22 4.6e-04 1.1e-01 2.9e-02 9.96e-01 1.656724620e+02 1.667523914e+02 2.4e-07 4.24 23 2.4e-04 7.7e-02 1.5e-02 9.84e-01 1.660387491e+02 1.666105649e+02 1.2e-07 4.31 24 2.0e-04 6.4e-02 1.2e-02 1.00e+00 1.661168119e+02 1.665843115e+02 1.0e-07 4.53 25 1.8e-04 5.9e-02 1.1e-02 1.01e+00 1.661509727e+02 1.665714922e+02 9.2e-08 4.70 26 1.6e-04 5.4e-02 1.0e-02 1.01e+00 1.661806528e+02 1.665590005e+02 8.3e-08 4.88 27 1.4e-04 4.9e-02 9.0e-03 1.01e+00 1.662074956e+02 1.665479298e+02 7.5e-08 5.41 28 1.3e-04 4.5e-02 8.1e-03 1.01e+00 1.662315408e+02 1.665378667e+02 6.7e-08 5.54 29 1.2e-04 4.1e-02 7.3e-03 1.01e+00 1.662531222e+02 1.665287626e+02 6.0e-08 5.78 30 1.1e-04 3.8e-02 6.6e-03 1.01e+00 1.662724877e+02 1.665205210e+02 5.4e-08 5.95 31 9.5e-05 3.5e-02 5.9e-03 1.01e+00 1.662898667e+02 1.665130616e+02 4.9e-08 5.97 32 8.5e-05 3.2e-02 5.3e-03 1.01e+00 1.663054632e+02 1.665063102e+02 4.4e-08 5.98 33 7.7e-05 3.0e-02 4.8e-03 1.00e+00 1.663194607e+02 1.665001999e+02 4.0e-08 6.01 34 6.9e-05 2.7e-02 4.3e-03 1.00e+00 1.663320235e+02 1.664946703e+02 3.6e-08 6.13 35 6.2e-05 2.6e-02 3.9e-03 1.00e+00 1.663432996e+02 1.664896668e+02 3.2e-08 6.45 36 5.6e-05 2.4e-02 3.5e-03 1.00e+00 1.663534214e+02 1.664851399e+02 2.9e-08 6.67 37 5.0e-05 2.2e-02 3.1e-03 1.00e+00 1.663625081e+02 1.664810452e+02 2.6e-08 7.17 38 4.5e-05 2.1e-02 2.8e-03 1.00e+00 1.663706662e+02 1.664773421e+02 2.3e-08 7.34 39 4.1e-05 1.9e-02 2.5e-03 1.00e+00 1.663779916e+02 1.664739938e+02 2.1e-08 7.55 40 3.7e-05 1.8e-02 2.3e-03 1.00e+00 1.663845699e+02 1.664709671e+02 1.9e-08 8.03 41 3.3e-05 1.7e-02 2.1e-03 1.00e+00 1.663904777e+02 1.664682315e+02 1.7e-08 8.20 42 3.0e-05 1.6e-02 1.9e-03 1.00e+00 1.663957840e+02 1.664657594e+02 1.5e-08 8.24 43 2.7e-05 1.5e-02 1.7e-03 1.00e+00 1.664005503e+02 1.664635260e+02 1.4e-08 8.26 44 2.4e-05 1.5e-02 1.5e-03 1.00e+00 1.664048319e+02 1.664615083e+02 1.2e-08 8.63 45 2.2e-05 1.4e-02 1.4e-03 1.00e+00 1.664086784e+02 1.664596858e+02 1.1e-08 8.87 46 2.0e-05 1.3e-02 1.2e-03 1.00e+00 1.664121342e+02 1.664580399e+02 1.0e-08 9.29 47 1.8e-05 1.3e-02 1.1e-03 1.00e+00 1.664152392e+02 1.664565535e+02 9.1e-09 9.85 48 1.6e-05 1.2e-02 9.9e-04 1.00e+00 1.664180292e+02 1.664552116e+02 8.2e-09 10.34 49 1.4e-05 1.2e-02 8.9e-04 1.00e+00 1.664205363e+02 1.664540001e+02 7.4e-09 10.57 50 1.3e-05 1.1e-02 8.0e-04 1.00e+00 1.664227894e+02 1.664529065e+02 6.6e-09 10.60 51 1.2e-05 1.1e-02 7.2e-04 1.00e+00 1.664248143e+02 1.664519195e+02 6.0e-09 10.62 52 1.0e-05 1.1e-02 6.5e-04 1.00e+00 1.664266342e+02 1.664510288e+02 5.4e-09 11.30 53 9.3e-06 1.1e-02 5.8e-04 1.00e+00 1.664282701e+02 1.664502251e+02 4.8e-09 11.61 54 8.4e-06 1.0e-02 5.2e-04 1.00e+00 1.664297406e+02 1.664495001e+02 4.4e-09 11.67 55 7.6e-06 1.0e-02 4.7e-04 1.00e+00 1.664310625e+02 1.664488461e+02 3.9e-09 11.78 56 6.8e-06 9.8e-03 4.2e-04 1.00e+00 1.664322509e+02 1.664482562e+02 3.5e-09 11.90 57 6.1e-06 9.6e-03 3.8e-04 1.00e+00 1.664333194e+02 1.664477243e+02 3.2e-09 12.53 58 5.5e-06 9.5e-03 3.4e-04 1.00e+00 1.664342802e+02 1.664472446e+02 2.9e-09 12.66 59 5.0e-06 9.3e-03 3.1e-04 1.00e+00 1.664351440e+02 1.664468120e+02 2.6e-09 12.75 60 4.5e-06 9.2e-03 2.8e-04 1.00e+00 1.664359207e+02 1.664464220e+02 2.3e-09 12.85 61 4.0e-06 9.0e-03 2.5e-04 1.00e+00 1.664366192e+02 1.664460704e+02 2.1e-09 13.45 62 3.6e-06 8.9e-03 2.3e-04 1.00e+00 1.664372472e+02 1.664457533e+02 1.9e-09 14.07 63 3.3e-06 8.8e-03 2.0e-04 1.00e+00 1.664378119e+02 1.664454675e+02 1.7e-09 14.30 64 2.9e-06 8.7e-03 1.8e-04 1.00e+00 1.664383198e+02 1.664452099e+02 1.5e-09 14.66 65 2.6e-06 8.6e-03 1.6e-04 1.00e+00 1.664387765e+02 1.664449777e+02 1.4e-09 14.99 66 2.4e-06 8.6e-03 1.5e-04 1.00e+00 1.664391873e+02 1.664447684e+02 1.2e-09 15.04 67 2.1e-06 8.5e-03 1.3e-04 1.00e+00 1.664395568e+02 1.664445799e+02 1.1e-09 15.09 68 1.9e-06 8.4e-03 1.2e-04 1.00e+00 1.664398892e+02 1.664444101e+02 1.0e-09 15.10 69 1.7e-06 8.3e-03 1.1e-04 1.00e+00 1.664401883e+02 1.664442571e+02 9.0e-10 15.77 70 1.6e-06 8.3e-03 9.7e-05 1.00e+00 1.664404573e+02 1.664441192e+02 8.1e-10 16.22 71 1.4e-06 8.2e-03 8.7e-05 1.00e+00 1.664406994e+02 1.664439951e+02 7.3e-10 17.04 72 1.3e-06 8.2e-03 7.9e-05 1.00e+00 1.664409171e+02 1.664438833e+02 6.5e-10 17.20 73 1.1e-06 8.1e-03 7.1e-05 1.00e+00 1.664411130e+02 1.664437826e+02 5.9e-10 17.27 74 1.0e-06 8.1e-03 6.4e-05 1.00e+00 1.664412893e+02 1.664436919e+02 5.3e-10 17.30 75 9.2e-07 8.0e-03 5.7e-05 1.00e+00 1.664414478e+02 1.664436102e+02 4.8e-10 17.34 76 8.3e-07 8.0e-03 5.2e-05 1.00e+00 1.664415905e+02 1.664435366e+02 4.3e-10 17.36 77 7.4e-07 8.0e-03 4.6e-05 1.00e+00 1.664417188e+02 1.664434704e+02 3.9e-10 17.97 78 6.7e-07 7.9e-03 4.2e-05 1.00e+00 1.664418343e+02 1.664434107e+02 3.5e-10 18.10 79 6.0e-07 7.9e-03 3.8e-05 1.00e+00 1.664419381e+02 1.664433569e+02 3.1e-10 19.02 80 5.4e-07 7.9e-03 3.4e-05 1.00e+00 1.664420315e+02 1.664433084e+02 2.8e-10 19.33 81 4.9e-07 7.8e-03 3.0e-05 1.00e+00 1.664421156e+02 1.664432648e+02 2.5e-10 19.55 82 4.4e-07 7.8e-03 2.7e-05 1.00e+00 1.664421912e+02 1.664432255e+02 2.3e-10 19.59 83 4.0e-07 7.8e-03 2.5e-05 1.00e+00 1.664422592e+02 1.664431901e+02 2.1e-10 20.39 84 3.6e-07 7.8e-03 2.2e-05 1.00e+00 1.664423204e+02 1.664431582e+02 1.8e-10 20.51 85 3.2e-07 7.7e-03 2.0e-05 1.00e+00 1.664423754e+02 1.664431294e+02 1.7e-10 20.63 86 2.9e-07 7.7e-03 1.8e-05 9.99e-01 1.664424250e+02 1.664431036e+02 1.5e-10 21.29 87 2.6e-07 7.7e-03 1.6e-05 1.00e+00 1.664424696e+02 1.664430803e+02 1.3e-10 21.49 88 2.3e-07 7.7e-03 1.5e-05 1.00e+00 1.664425097e+02 1.664430593e+02 1.2e-10 21.60 89 2.1e-07 7.7e-03 1.3e-05 1.00e+00 1.664425458e+02 1.664430405e+02 1.1e-10 21.65 90 1.9e-07 7.6e-03 1.2e-05 9.98e-01 1.664425783e+02 1.664430235e+02 9.8e-11 21.81 91 1.7e-07 7.6e-03 1.1e-05 1.00e+00 1.664426075e+02 1.664430082e+02 8.8e-11 22.78 92 1.5e-07 7.6e-03 9.6e-06 1.00e+00 1.664426338e+02 1.664429945e+02 8.0e-11 23.16 93 1.4e-07 7.6e-03 8.6e-06 1.00e+00 1.664426575e+02 1.664429821e+02 7.2e-11 23.28 94 1.2e-07 7.6e-03 7.8e-06 9.98e-01 1.664426788e+02 1.664429710e+02 6.4e-11 23.81 95 1.1e-07 7.6e-03 7.0e-06 1.00e+00 1.664426980e+02 1.664429610e+02 5.8e-11 24.03 96 1.0e-07 7.6e-03 6.3e-06 1.00e+00 1.664427153e+02 1.664429519e+02 5.2e-11 24.04 97 9.1e-08 7.6e-03 5.7e-06 1.00e+00 1.664427309e+02 1.664429438e+02 4.7e-11 24.06 98 8.1e-08 6.8e-03 5.1e-06 1.01e+00 1.664427450e+02 1.664429364e+02 4.2e-11 24.07 99 7.3e-08 6.1e-03 4.6e-06 9.93e-01 1.664427576e+02 1.664429299e+02 3.8e-11 24.08 100 6.6e-08 5.5e-03 4.1e-06 9.91e-01 1.664427689e+02 1.664429240e+02 3.4e-11 24.09 101 5.9e-08 5.0e-03 3.7e-06 9.95e-01 1.664427791e+02 1.664429187e+02 3.1e-11 24.11 102 5.3e-08 4.5e-03 3.3e-06 1.00e+00 1.664427883e+02 1.664429139e+02 2.8e-11 24.12 103 4.8e-08 4.0e-03 3.0e-06 9.91e-01 1.664427965e+02 1.664429096e+02 2.5e-11 24.13 104 4.3e-08 3.6e-03 2.7e-06 1.01e+00 1.664428042e+02 1.664429056e+02 2.3e-11 24.14 105 3.9e-08 3.3e-03 2.4e-06 9.88e-01 1.664428108e+02 1.664429021e+02 2.0e-11 24.16 106 3.5e-08 2.9e-03 2.2e-06 9.84e-01 1.664428168e+02 1.664428990e+02 1.8e-11 24.17 107 3.2e-08 2.6e-03 2.0e-06 1.01e+00 1.664428223e+02 1.664428962e+02 1.6e-11 24.18 108 2.8e-08 2.4e-03 1.8e-06 1.02e+00 1.664428275e+02 1.664428934e+02 1.5e-11 24.19 109 2.6e-08 2.1e-03 1.6e-06 1.02e+00 1.664428321e+02 1.664428909e+02 1.4e-11 24.20 110 2.3e-08 1.9e-03 1.4e-06 1.02e+00 1.664428364e+02 1.664428887e+02 1.2e-11 24.21 111 2.1e-08 1.7e-03 1.3e-06 1.01e+00 1.664428399e+02 1.664428868e+02 1.1e-11 24.22 112 1.9e-08 1.6e-03 1.2e-06 1.00e+00 1.664428430e+02 1.664428852e+02 1.0e-11 24.23 113 1.7e-08 1.4e-03 1.0e-06 1.04e+00 1.664428462e+02 1.664428835e+02 9.2e-12 24.24 114 1.5e-08 1.3e-03 9.4e-07 1.07e+00 1.664428495e+02 1.664428817e+02 8.5e-12 24.25 115 1.4e-08 1.1e-03 8.5e-07 9.94e-01 1.664428516e+02 1.664428806e+02 7.7e-12 24.26 116 1.2e-08 1.0e-03 7.6e-07 1.03e+00 1.664428538e+02 1.664428795e+02 7.0e-12 24.27 117 1.1e-08 9.2e-04 6.9e-07 1.06e+00 1.664428560e+02 1.664428783e+02 6.5e-12 24.28 118 1.0e-08 8.3e-04 6.2e-07 1.01e+00 1.664428575e+02 1.664428775e+02 5.9e-12 24.29 119 9.2e-09 7.4e-04 5.6e-07 1.24e+00 1.664428588e+02 1.664428770e+02 5.3e-12 24.30 120 8.7e-09 6.7e-04 5.0e-07 1.28e+00 1.664428600e+02 1.664428762e+02 4.8e-12 24.31 121 7.6e-09 6.0e-04 4.5e-07 1.25e+00 1.664428612e+02 1.664428755e+02 4.3e-12 24.32 122 7.3e-09 5.4e-04 4.1e-07 8.47e-01 1.664428620e+02 1.664428753e+02 3.9e-12 24.33 123 8.4e-09 4.9e-04 3.7e-07 1.06e+00 1.664428631e+02 1.664428747e+02 3.6e-12 24.34 124 7.3e-09 4.4e-04 3.3e-07 8.34e-01 1.664428639e+02 1.664428743e+02 3.2e-12 24.35 125 1.3e-08 4.0e-04 3.0e-07 1.21e+00 1.664428652e+02 1.664428734e+02 3.2e-12 24.36 126 1.6e-08 3.6e-04 2.7e-07 1.57e+00 1.664428656e+02 1.664428736e+02 2.9e-12 24.37 127 1.7e-08 3.2e-04 2.4e-07 9.60e-01 1.664428661e+02 1.664428733e+02 2.6e-12 24.38 128 1.5e-08 2.9e-04 2.2e-07 9.57e-01 1.664428665e+02 1.664428730e+02 2.3e-12 24.40 129 1.9e-08 2.6e-04 2.0e-07 2.97e+00 1.664428668e+02 1.664428734e+02 2.1e-12 24.41 130 9.9e-09 2.4e-04 1.8e-07 3.95e+00 1.664428673e+02 1.664428725e+02 1.8e-12 24.42 131 9.8e-09 2.1e-04 1.6e-07 7.66e-01 1.664428676e+02 1.664428724e+02 1.6e-12 24.44 132 9.1e-09 1.9e-04 1.4e-07 7.93e-01 1.664428679e+02 1.664428723e+02 1.5e-12 24.45 133 8.5e-09 1.7e-04 1.3e-07 7.30e-01 1.664428682e+02 1.664428721e+02 1.3e-12 24.46 134 9.8e-09 1.5e-04 1.2e-07 6.74e-01 1.664428684e+02 1.664428720e+02 1.2e-12 24.47 135 9.1e-09 1.4e-04 1.0e-07 2.16e+00 1.664428687e+02 1.664428719e+02 1.1e-12 24.48 136 8.8e-09 1.3e-04 9.4e-08 3.75e-01 1.664428689e+02 1.664428719e+02 9.6e-13 24.49 Interior-point optimizer terminated. Time: 24.49. Optimizer terminated. Time: 24.50 solsta = 1, prosta = 1 Interior-point solution summary Problem status : PRIMAL_AND_DUAL_FEASIBLE Solution status : OPTIMAL Primal. obj: 1.6644286886e+02 Viol. con: 2e-07 var: 0e+00 Dual. obj: 1.6644287189e+02 Viol. con: 0e+00 var: 8e-04 * End solution on dual form. * Transforming to primal solution. Solving took 24.5 seconds. Using solver 'mosek' Solving for 1768 variables. Number of Hessian non-zeros: 2054 * Solving exponential optimization problem on dual form. * * The following log information refers to the solution of the dual problem. * Computer Platform : MACOSX/64-X86 Cores : 4 Problem Name : Objective sense : max Type : GECO (general convex optimization problem) Constraints : 1769 Cones : 0 Scalar variables : 6131 Matrix variables : 0 Integer variables : 0 Optimizer started. Interior-point optimizer started. Presolve started. Linear dependency checker started. Linear dependency checker terminated. Eliminator started. Total number of eliminations : 932 Eliminator terminated. Eliminator started. Total number of eliminations : 944 Eliminator terminated. Eliminator - tries : 2 time : 0.00 Eliminator - elim's : 944 Lin. dep. - tries : 1 time : 0.00 Lin. dep. - number : 0 Presolve terminated. Time: 0.01 Matrix reordering started. Local matrix reordering started. Local matrix reordering terminated. Matrix reordering terminated. Optimizer - threads : 4 Optimizer - solved problem : the primal Optimizer - Constraints : 776 Optimizer - Cones : 0 Optimizer - Scalar variables : 3451 conic : 0 Optimizer - Semi-definite variables: 0 scalarized : 0 Factor - setup time : 0.02 dense det. time : 0.00 Factor - ML order time : 0.00 GP order time : 0.02 Factor - nonzeros before factor : 1.64e+04 after factor : 1.50e+05 Factor - dense dim. : 0 flops : 0.00e+00 Factor - GP saved nzs : 0 GP saved flops : 0.00e+00 ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME 0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.281180388e+05 2.000000000e+00 1.0e+00 0.04 1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.259625301e+05 3.560276621e+00 4.8e-01 0.31 2 4.3e+02 5.4e+02 2.3e+04 -9.36e-01 -1.197267098e+05 1.024016329e+01 1.8e-01 0.32 3 2.9e+02 3.6e+02 1.6e+04 -8.38e-01 -1.150518107e+05 6.456752098e+01 1.2e-01 0.33 4 2.8e+02 3.6e+02 1.6e+04 -7.58e-01 -1.124052011e+05 2.300158951e+03 1.2e-01 0.34 5 7.5e+01 9.5e+01 4.1e+03 -7.51e-01 -7.417783340e+04 9.757678097e+03 3.3e-02 0.35 6 3.0e+01 3.8e+01 1.7e+03 -1.91e-01 -4.024534039e+04 1.031407906e+04 1.3e-02 1.06 7 1.8e+01 2.3e+01 1.0e+03 3.95e-01 -2.697135761e+04 6.727017094e+03 7.9e-03 1.10 8 9.6e+00 1.2e+01 5.3e+02 6.31e-01 -1.531807685e+04 3.871914165e+03 4.2e-03 1.12 9 3.6e+00 4.6e+00 2.0e+02 8.16e-01 -5.875053416e+03 1.809580197e+03 1.6e-03 1.15 10 2.0e+00 2.5e+00 1.1e+02 9.47e-01 -3.096649989e+03 1.203043932e+03 8.9e-04 1.17 11 8.5e-01 1.1e+00 4.7e+01 9.81e-01 -1.219597480e+03 6.194922891e+02 3.8e-04 1.20 12 8.2e-01 1.1e+00 4.6e+01 9.52e-01 -1.202439751e+03 5.954657708e+02 3.7e-04 1.22 13 5.1e-01 6.6e-01 2.9e+01 9.70e-01 -7.004877262e+02 4.298276931e+02 2.3e-04 1.25 14 3.1e-01 4.1e-01 1.7e+01 1.00e+00 -3.460643809e+02 3.419708118e+02 1.4e-04 1.69 15 1.1e-01 1.7e-01 6.1e+00 9.98e-01 -2.601424153e+01 2.150264644e+02 5.0e-05 2.29 16 8.2e-02 1.3e-01 4.7e+00 1.02e+00 2.213583802e+01 2.053676144e+02 3.8e-05 2.34 17 4.1e-02 8.5e-02 2.3e+00 1.02e+00 9.691039355e+01 1.867799810e+02 1.9e-05 2.59 18 1.4e-02 8.5e-02 8.0e-01 1.02e+00 1.432895147e+02 1.740783889e+02 6.5e-06 2.81 19 5.8e-03 7.4e-02 3.4e-01 1.01e+00 1.564985615e+02 1.694317884e+02 2.7e-06 3.06 20 1.5e-03 1.5e-01 9.0e-02 1.01e+00 1.639323540e+02 1.673713207e+02 7.3e-07 3.38 21 7.1e-04 1.0e-01 4.4e-02 9.87e-01 1.652262667e+02 1.668859560e+02 3.6e-07 3.48 22 2.3e-04 1.1e-01 1.4e-02 9.99e-01 1.660353487e+02 1.665837195e+02 1.2e-07 3.75 23 1.1e-04 8.6e-02 6.9e-03 1.01e+00 1.662379314e+02 1.665007231e+02 5.8e-08 4.08 24 5.3e-05 7.5e-02 3.4e-03 1.01e+00 1.663316571e+02 1.664611548e+02 2.9e-08 4.32 25 4.8e-05 6.8e-02 3.1e-03 1.01e+00 1.663421718e+02 1.664587927e+02 2.6e-08 4.37 26 4.3e-05 6.2e-02 2.8e-03 1.01e+00 1.663501882e+02 1.664551079e+02 2.3e-08 4.71 27 3.9e-05 5.7e-02 2.5e-03 1.01e+00 1.663575022e+02 1.664519077e+02 2.1e-08 4.89 28 3.5e-05 5.2e-02 2.3e-03 1.01e+00 1.663640444e+02 1.664489896e+02 1.9e-08 5.08 29 3.1e-05 4.7e-02 2.0e-03 1.01e+00 1.663699219e+02 1.664463567e+02 1.7e-08 5.14 30 2.8e-05 4.4e-02 1.8e-03 1.01e+00 1.663751999e+02 1.664439781e+02 1.5e-08 5.24 31 2.5e-05 4.0e-02 1.6e-03 1.00e+00 1.663799405e+02 1.664418303e+02 1.4e-08 5.36 32 2.3e-05 3.7e-02 1.5e-03 1.00e+00 1.663841987e+02 1.664398909e+02 1.2e-08 5.77 33 2.1e-05 3.4e-02 1.3e-03 1.00e+00 1.663880241e+02 1.664381400e+02 1.1e-08 6.23 34 1.9e-05 3.1e-02 1.2e-03 1.00e+00 1.663914607e+02 1.664365594e+02 1.0e-08 6.49 35 1.7e-05 2.9e-02 1.1e-03 1.00e+00 1.663945485e+02 1.664351327e+02 9.1e-09 6.94 36 1.5e-05 2.7e-02 9.7e-04 1.00e+00 1.663973230e+02 1.664338450e+02 8.2e-09 7.38 37 1.3e-05 2.5e-02 8.7e-04 1.00e+00 1.663998162e+02 1.664326830e+02 7.4e-09 7.50 38 1.2e-05 2.3e-02 7.9e-04 1.00e+00 1.664020567e+02 1.664316345e+02 6.6e-09 7.74 39 1.1e-05 2.2e-02 7.1e-04 1.00e+00 1.664040704e+02 1.664306884e+02 6.0e-09 7.85 40 9.8e-06 2.0e-02 6.4e-04 1.00e+00 1.664058803e+02 1.664298350e+02 5.4e-09 7.93 41 8.9e-06 1.9e-02 5.7e-04 1.00e+00 1.664075072e+02 1.664290651e+02 4.8e-09 8.32 42 8.0e-06 1.8e-02 5.2e-04 1.00e+00 1.664089697e+02 1.664283708e+02 4.3e-09 8.42 43 7.2e-06 1.7e-02 4.6e-04 1.00e+00 1.664102845e+02 1.664277447e+02 3.9e-09 8.74 44 6.5e-06 1.6e-02 4.2e-04 1.00e+00 1.664114665e+02 1.664271801e+02 3.5e-09 8.92 45 5.8e-06 1.5e-02 3.8e-04 1.00e+00 1.664125293e+02 1.664266711e+02 3.2e-09 9.64 46 5.2e-06 1.5e-02 3.4e-04 1.00e+00 1.664134850e+02 1.664262122e+02 2.9e-09 10.01 47 4.7e-06 1.4e-02 3.0e-04 1.00e+00 1.664143443e+02 1.664257985e+02 2.6e-09 10.15 48 4.2e-06 1.3e-02 2.7e-04 1.00e+00 1.664151171e+02 1.664254255e+02 2.3e-09 10.17 49 3.8e-06 1.3e-02 2.5e-04 1.00e+00 1.664158119e+02 1.664250894e+02 2.1e-09 10.19 50 3.4e-06 1.2e-02 2.2e-04 1.00e+00 1.664164368e+02 1.664247864e+02 1.9e-09 10.69 51 3.1e-06 1.2e-02 2.0e-04 1.00e+00 1.664169987e+02 1.664245133e+02 1.7e-09 11.47 52 2.8e-06 1.1e-02 1.8e-04 1.00e+00 1.664175041e+02 1.664242671e+02 1.5e-09 11.60 53 2.5e-06 1.1e-02 1.6e-04 1.00e+00 1.664179587e+02 1.664240453e+02 1.4e-09 11.65 54 2.3e-06 1.1e-02 1.5e-04 1.00e+00 1.664183675e+02 1.664238455e+02 1.2e-09 11.79 55 2.0e-06 1.1e-02 1.3e-04 1.00e+00 1.664187353e+02 1.664236656e+02 1.1e-09 12.03 56 1.8e-06 1.0e-02 1.2e-04 1.00e+00 1.664190662e+02 1.664235034e+02 1.0e-09 12.15 57 1.6e-06 1.0e-02 1.1e-04 1.00e+00 1.664193639e+02 1.664233574e+02 9.0e-10 12.87 58 1.5e-06 9.8e-03 9.6e-05 1.00e+00 1.664196318e+02 1.664232258e+02 8.1e-10 13.51 59 1.3e-06 9.6e-03 8.6e-05 1.00e+00 1.664198727e+02 1.664231074e+02 7.3e-10 13.98 60 1.2e-06 9.4e-03 7.8e-05 1.00e+00 1.664200895e+02 1.664230007e+02 6.5e-10 14.34 61 1.1e-06 9.3e-03 7.0e-05 1.00e+00 1.664202846e+02 1.664229047e+02 5.9e-10 14.70 62 9.7e-07 9.1e-03 6.3e-05 1.00e+00 1.664204601e+02 1.664228182e+02 5.3e-10 14.74 63 8.7e-07 9.0e-03 5.7e-05 1.00e+00 1.664206179e+02 1.664227402e+02 4.8e-10 14.76 64 7.8e-07 8.9e-03 5.1e-05 1.00e+00 1.664207600e+02 1.664226701e+02 4.3e-10 14.79 65 7.1e-07 8.8e-03 4.6e-05 1.00e+00 1.664208878e+02 1.664226068e+02 3.9e-10 15.13 66 6.4e-07 8.7e-03 4.1e-05 1.00e+00 1.664210027e+02 1.664225498e+02 3.5e-10 15.26 67 5.7e-07 8.6e-03 3.7e-05 1.00e+00 1.664211061e+02 1.664224985e+02 3.1e-10 16.00 68 5.1e-07 8.5e-03 3.3e-05 1.00e+00 1.664211992e+02 1.664224523e+02 2.8e-10 16.13 69 4.6e-07 8.4e-03 3.0e-05 1.00e+00 1.664212828e+02 1.664224106e+02 2.5e-10 16.90 70 4.2e-07 8.3e-03 2.7e-05 1.00e+00 1.664213581e+02 1.664223731e+02 2.3e-10 16.90 71 3.8e-07 8.3e-03 2.4e-05 1.00e+00 1.664214258e+02 1.664223393e+02 2.1e-10 16.95 72 3.4e-07 8.2e-03 2.2e-05 1.00e+00 1.664214867e+02 1.664223089e+02 1.8e-10 16.98 73 3.0e-07 8.2e-03 2.0e-05 1.00e+00 1.664215415e+02 1.664222815e+02 1.7e-10 17.01 74 2.7e-07 8.1e-03 1.8e-05 1.00e+00 1.664215908e+02 1.664222568e+02 1.5e-10 17.04 75 2.5e-07 8.1e-03 1.6e-05 1.00e+00 1.664216352e+02 1.664222345e+02 1.3e-10 17.79 76 2.2e-07 8.0e-03 1.4e-05 1.00e+00 1.664216751e+02 1.664222145e+02 1.2e-10 18.35 77 2.0e-07 8.0e-03 1.3e-05 1.00e+00 1.664217110e+02 1.664221965e+02 1.1e-10 18.58 78 1.8e-07 7.9e-03 1.2e-05 1.00e+00 1.664217434e+02 1.664221803e+02 9.8e-11 19.15 79 1.6e-07 7.9e-03 1.0e-05 1.00e+00 1.664217725e+02 1.664221656e+02 8.8e-11 19.23 80 1.5e-07 7.9e-03 9.4e-06 9.99e-01 1.664217986e+02 1.664221525e+02 7.9e-11 20.14 81 1.3e-07 7.8e-03 8.5e-06 9.99e-01 1.664218222e+02 1.664221407e+02 7.2e-11 20.57 82 1.2e-07 7.8e-03 7.6e-06 9.95e-01 1.664218434e+02 1.664221301e+02 6.4e-11 20.81 83 1.1e-07 7.8e-03 6.9e-06 9.98e-01 1.664218624e+02 1.664221205e+02 5.8e-11 21.19 84 9.5e-08 7.8e-03 6.2e-06 1.00e+00 1.664218796e+02 1.664221119e+02 5.2e-11 21.52 85 8.6e-08 7.7e-03 5.6e-06 9.97e-01 1.664218951e+02 1.664221041e+02 4.7e-11 21.57 86 7.7e-08 7.7e-03 5.0e-06 9.96e-01 1.664219090e+02 1.664220972e+02 4.2e-11 22.07 87 7.0e-08 7.7e-03 4.5e-06 1.00e+00 1.664219215e+02 1.664220908e+02 3.8e-11 22.08 88 6.3e-08 7.7e-03 4.1e-06 1.00e+00 1.664219327e+02 1.664220852e+02 3.4e-11 22.09 89 5.6e-08 7.7e-03 3.7e-06 1.00e+00 1.664219429e+02 1.664220800e+02 3.1e-11 22.71 90 5.1e-08 7.7e-03 3.3e-06 1.00e+00 1.664219521e+02 1.664220754e+02 2.8e-11 23.11 91 4.6e-08 6.9e-03 3.0e-06 1.01e+00 1.664219606e+02 1.664220711e+02 2.5e-11 23.45 92 4.1e-08 6.2e-03 2.7e-06 9.91e-01 1.664219679e+02 1.664220674e+02 2.3e-11 23.67 93 3.7e-08 5.6e-03 2.4e-06 9.97e-01 1.664219745e+02 1.664220641e+02 2.0e-11 23.70 94 3.3e-08 5.0e-03 2.2e-06 9.95e-01 1.664219805e+02 1.664220611e+02 1.8e-11 23.73 95 3.0e-08 4.5e-03 1.9e-06 1.01e+00 1.664219861e+02 1.664220583e+02 1.7e-11 23.78 96 2.7e-08 4.1e-03 1.7e-06 1.01e+00 1.664219910e+02 1.664220558e+02 1.5e-11 24.21 97 2.4e-08 3.7e-03 1.6e-06 1.00e+00 1.664219953e+02 1.664220536e+02 1.3e-11 24.59 98 2.2e-08 3.3e-03 1.4e-06 1.02e+00 1.664219994e+02 1.664220515e+02 1.2e-11 24.88 99 2.0e-08 3.0e-03 1.3e-06 9.61e-01 1.664220029e+02 1.664220498e+02 1.1e-11 25.07 100 1.8e-08 2.7e-03 1.1e-06 1.01e+00 1.664220060e+02 1.664220482e+02 9.9e-12 25.23 101 1.6e-08 2.4e-03 1.0e-06 9.61e-01 1.664220088e+02 1.664220469e+02 8.9e-12 25.34 102 1.4e-08 2.2e-03 9.3e-07 9.87e-01 1.664220114e+02 1.664220456e+02 8.0e-12 25.47 103 1.3e-08 1.9e-03 8.4e-07 1.03e+00 1.664220139e+02 1.664220442e+02 7.3e-12 25.94 104 1.2e-08 1.8e-03 7.5e-07 9.93e-01 1.664220160e+02 1.664220432e+02 6.6e-12 26.00 105 1.0e-08 1.6e-03 6.8e-07 9.90e-01 1.664220178e+02 1.664220423e+02 5.9e-12 26.05 106 9.4e-09 1.4e-03 6.1e-07 9.93e-01 1.664220194e+02 1.664220415e+02 5.3e-12 26.53 107 8.5e-09 1.3e-03 5.5e-07 9.77e-01 1.664220209e+02 1.664220408e+02 4.8e-12 26.73 108 7.6e-09 1.1e-03 4.9e-07 1.04e+00 1.664220224e+02 1.664220399e+02 4.4e-12 26.90 109 6.9e-09 1.0e-03 4.4e-07 1.03e+00 1.664220238e+02 1.664220393e+02 4.0e-12 27.40 110 6.2e-09 9.3e-04 4.0e-07 1.03e+00 1.664220249e+02 1.664220386e+02 3.7e-12 27.51 111 5.6e-09 8.4e-04 3.6e-07 8.87e-01 1.664220258e+02 1.664220382e+02 3.3e-12 27.62 112 5.0e-09 7.5e-04 3.2e-07 9.22e-01 1.664220266e+02 1.664220379e+02 3.0e-12 28.21 113 4.5e-09 6.8e-04 2.9e-07 1.04e+00 1.664220275e+02 1.664220374e+02 2.7e-12 28.23 114 4.1e-09 6.1e-04 2.6e-07 1.06e+00 1.664220283e+02 1.664220370e+02 2.5e-12 28.25 115 3.3e-09 3.7e-05 1.6e-08 8.72e-01 1.664220339e+02 1.664220345e+02 2.9e-13 28.28 Interior-point optimizer terminated. Time: 28.29. Optimizer terminated. Time: 28.30 solsta = 1, prosta = 1 Interior-point solution summary Problem status : PRIMAL_AND_DUAL_FEASIBLE Solution status : OPTIMAL Primal. obj: 1.6642203391e+02 Viol. con: 8e-08 var: 0e+00 Dual. obj: 1.6642203447e+02 Viol. con: 0e+00 var: 2e-04 * End solution on dual form. * Transforming to primal solution. Solving took 28.3 seconds. Using solver 'mosek' Solving for 1768 variables. Number of Hessian non-zeros: 2054 * Solving exponential optimization problem on dual form. * * The following log information refers to the solution of the dual problem. * Computer Platform : MACOSX/64-X86 Cores : 4 Problem Name : Objective sense : max Type : GECO (general convex optimization problem) Constraints : 1769 Cones : 0 Scalar variables : 6131 Matrix variables : 0 Integer variables : 0 Optimizer started. Interior-point optimizer started. Presolve started. Linear dependency checker started. Linear dependency checker terminated. Eliminator started. Total number of eliminations : 932 Eliminator terminated. Eliminator started. Total number of eliminations : 944 Eliminator terminated. Eliminator - tries : 2 time : 0.00 Eliminator - elim's : 944 Lin. dep. - tries : 1 time : 0.00 Lin. dep. - number : 0 Presolve terminated. Time: 0.01 Matrix reordering started. Local matrix reordering started. Local matrix reordering terminated. Matrix reordering terminated. Optimizer - threads : 4 Optimizer - solved problem : the primal Optimizer - Constraints : 776 Optimizer - Cones : 0 Optimizer - Scalar variables : 3451 conic : 0 Optimizer - Semi-definite variables: 0 scalarized : 0 Factor - setup time : 0.03 dense det. time : 0.00 Factor - ML order time : 0.00 GP order time : 0.02 Factor - nonzeros before factor : 1.64e+04 after factor : 1.50e+05 Factor - dense dim. : 0 flops : 0.00e+00 Factor - GP saved nzs : 0 GP saved flops : 0.00e+00 ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME 0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.281171695e+05 2.000000000e+00 1.0e+00 0.04 1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.259614430e+05 3.560065206e+00 4.8e-01 0.55 2 4.3e+02 5.4e+02 2.3e+04 -9.36e-01 -1.197068298e+05 1.025351924e+01 1.8e-01 0.92 3 2.9e+02 3.6e+02 1.6e+04 -8.38e-01 -1.150279777e+05 6.481754703e+01 1.2e-01 1.53 4 2.8e+02 3.6e+02 1.6e+04 -7.58e-01 -1.123832082e+05 2.298634229e+03 1.2e-01 1.59 5 7.5e+01 9.5e+01 4.1e+03 -7.51e-01 -7.396346376e+04 9.786614373e+03 3.3e-02 2.04 6 3.0e+01 3.8e+01 1.7e+03 -1.88e-01 -4.013432547e+04 1.027693506e+04 1.3e-02 2.16 7 1.8e+01 2.3e+01 1.0e+03 3.97e-01 -2.696800233e+04 6.723014961e+03 7.9e-03 2.27 8 9.5e+00 1.2e+01 5.2e+02 6.30e-01 -1.520122634e+04 3.849446118e+03 4.2e-03 2.43 9 3.3e+00 4.2e+00 1.8e+02 8.18e-01 -5.269744344e+03 1.687245421e+03 1.4e-03 3.09 10 1.6e+00 2.0e+00 8.6e+01 9.55e-01 -2.308432397e+03 1.041884080e+03 6.9e-04 3.21 11 1.0e+00 1.3e+00 5.8e+01 9.87e-01 -1.504108207e+03 7.650690861e+02 4.7e-04 3.33 12 8.8e-01 1.1e+00 4.9e+01 9.72e-01 -1.271651169e+03 6.591062021e+02 3.9e-04 3.44 13 4.6e-01 6.0e-01 2.6e+01 9.79e-01 -6.086015890e+02 4.195795687e+02 2.1e-04 3.56 14 2.4e-01 4.1e-01 1.4e+01 1.00e+00 -2.357843598e+02 2.978045897e+02 1.1e-04 3.67 15 9.5e-02 1.8e-01 5.4e+00 1.00e+00 -4.403634809e+00 2.074370293e+02 4.4e-05 4.31 16 8.8e-02 1.6e-01 5.0e+00 1.02e+00 1.377441096e+01 2.095617441e+02 4.1e-05 4.46 17 6.0e-02 1.1e-01 3.4e+00 1.02e+00 6.129866474e+01 1.956042461e+02 2.8e-05 4.93 18 3.3e-02 7.9e-02 1.9e+00 1.02e+00 1.095585727e+02 1.826764943e+02 1.5e-05 5.05 19 9.2e-03 1.8e-01 5.3e-01 1.02e+00 1.514486258e+02 1.719167896e+02 4.3e-06 5.26 20 3.6e-03 2.1e-01 2.1e-01 1.01e+00 1.602344495e+02 1.684276863e+02 1.7e-06 5.44 21 1.3e-03 1.3e-01 7.6e-02 1.01e+00 1.642869683e+02 1.671994035e+02 6.3e-07 5.94 22 8.4e-04 1.0e-01 5.1e-02 9.86e-01 1.650114144e+02 1.669392460e+02 4.2e-07 5.95 23 2.5e-04 1.1e-01 1.6e-02 9.88e-01 1.659828360e+02 1.665842179e+02 1.3e-07 6.03 24 9.6e-05 1.0e-01 6.1e-03 1.01e+00 1.662457177e+02 1.664769566e+02 5.2e-08 6.05 25 3.8e-05 9.5e-02 2.4e-03 1.01e+00 1.663439540e+02 1.664356596e+02 2.1e-08 6.36 26 1.7e-05 8.1e-02 1.1e-03 1.00e+00 1.663784189e+02 1.664209241e+02 9.6e-09 6.99 27 1.6e-05 7.4e-02 1.0e-03 1.00e+00 1.663819531e+02 1.664202255e+02 8.7e-09 7.19 28 1.4e-05 6.7e-02 9.2e-04 1.01e+00 1.663845472e+02 1.664189847e+02 7.8e-09 7.25 29 1.3e-05 6.1e-02 8.2e-04 1.00e+00 1.663869256e+02 1.664179139e+02 7.0e-09 7.51 30 1.1e-05 5.6e-02 7.4e-04 1.00e+00 1.663890558e+02 1.664169408e+02 6.3e-09 7.97 31 1.0e-05 5.1e-02 6.7e-04 1.00e+00 1.663909716e+02 1.664160645e+02 5.7e-09 8.13 32 9.2e-06 4.7e-02 6.0e-04 1.00e+00 1.663926935e+02 1.664152741e+02 5.1e-09 8.20 33 8.3e-06 4.3e-02 5.4e-04 1.00e+00 1.663942414e+02 1.664145615e+02 4.6e-09 8.22 34 7.5e-06 3.9e-02 4.9e-04 1.00e+00 1.663956330e+02 1.664139192e+02 4.1e-09 8.24 35 6.7e-06 3.6e-02 4.4e-04 1.00e+00 1.663968842e+02 1.664133401e+02 3.7e-09 8.27 36 6.0e-06 3.3e-02 3.9e-04 1.00e+00 1.663980093e+02 1.664128183e+02 3.4e-09 8.29 37 5.4e-06 3.1e-02 3.5e-04 1.00e+00 1.663990209e+02 1.664123480e+02 3.0e-09 8.31 38 4.9e-06 2.9e-02 3.2e-04 1.00e+00 1.663999307e+02 1.664119241e+02 2.7e-09 8.35 39 4.4e-06 2.6e-02 2.9e-04 1.00e+00 1.664007488e+02 1.664115422e+02 2.4e-09 8.86 40 4.0e-06 2.5e-02 2.6e-04 1.00e+00 1.664014845e+02 1.664111980e+02 2.2e-09 9.09 41 3.6e-06 2.3e-02 2.3e-04 1.00e+00 1.664021462e+02 1.664108878e+02 2.0e-09 9.23 42 3.2e-06 2.1e-02 2.1e-04 1.00e+00 1.664027412e+02 1.664106083e+02 1.8e-09 9.52 43 2.9e-06 2.0e-02 1.9e-04 1.00e+00 1.664032763e+02 1.664103564e+02 1.6e-09 9.64 44 2.6e-06 1.9e-02 1.7e-04 1.00e+00 1.664037577e+02 1.664101294e+02 1.4e-09 9.86 45 2.3e-06 1.8e-02 1.5e-04 1.00e+00 1.664041906e+02 1.664099251e+02 1.3e-09 10.11 46 2.1e-06 1.7e-02 1.4e-04 1.00e+00 1.664045801e+02 1.664097410e+02 1.2e-09 10.23 47 1.9e-06 1.6e-02 1.2e-04 1.00e+00 1.664049306e+02 1.664095752e+02 1.1e-09 10.79 48 1.7e-06 1.5e-02 1.1e-04 1.00e+00 1.664052458e+02 1.664094259e+02 9.5e-10 11.04 49 1.5e-06 1.4e-02 1.0e-04 1.00e+00 1.664055295e+02 1.664092915e+02 8.5e-10 11.15 50 1.4e-06 1.4e-02 9.0e-05 1.00e+00 1.664057847e+02 1.664091704e+02 7.7e-10 11.75 51 1.2e-06 1.3e-02 8.1e-05 1.00e+00 1.664060143e+02 1.664090614e+02 6.9e-10 11.88 52 1.1e-06 1.2e-02 7.3e-05 1.00e+00 1.664062208e+02 1.664089632e+02 6.2e-10 12.14 53 1.0e-06 1.2e-02 6.6e-05 1.00e+00 1.664064067e+02 1.664088748e+02 5.6e-10 12.93 54 9.1e-07 1.2e-02 5.9e-05 1.00e+00 1.664065739e+02 1.664087952e+02 5.0e-10 13.68 55 8.2e-07 1.1e-02 5.3e-05 1.00e+00 1.664067244e+02 1.664087235e+02 4.5e-10 14.29 56 7.4e-07 1.1e-02 4.8e-05 1.00e+00 1.664068597e+02 1.664086588e+02 4.1e-10 14.63 57 6.6e-07 1.1e-02 4.3e-05 1.00e+00 1.664069815e+02 1.664086007e+02 3.7e-10 15.33 58 6.0e-07 1.0e-02 3.9e-05 1.00e+00 1.664070911e+02 1.664085482e+02 3.3e-10 15.88 59 5.4e-07 1.0e-02 3.5e-05 1.00e+00 1.664071896e+02 1.664085010e+02 3.0e-10 16.23 60 4.8e-07 9.7e-03 3.1e-05 1.00e+00 1.664072782e+02 1.664084585e+02 2.7e-10 16.70 61 4.3e-07 9.5e-03 2.8e-05 1.00e+00 1.664073579e+02 1.664084202e+02 2.4e-10 16.93 62 3.9e-07 9.3e-03 2.5e-05 1.00e+00 1.664074296e+02 1.664083857e+02 2.2e-10 17.25 63 3.5e-07 9.2e-03 2.3e-05 1.00e+00 1.664074942e+02 1.664083546e+02 2.0e-10 17.34 64 3.2e-07 9.0e-03 2.1e-05 1.00e+00 1.664075522e+02 1.664083266e+02 1.8e-10 17.39 65 2.8e-07 8.9e-03 1.9e-05 1.00e+00 1.664076044e+02 1.664083013e+02 1.6e-10 17.91 66 2.6e-07 8.7e-03 1.7e-05 1.00e+00 1.664076514e+02 1.664082786e+02 1.4e-10 18.31 67 2.3e-07 8.6e-03 1.5e-05 1.00e+00 1.664076937e+02 1.664082581e+02 1.3e-10 18.44 68 2.1e-07 8.5e-03 1.4e-05 1.00e+00 1.664077317e+02 1.664082397e+02 1.2e-10 18.62 69 1.9e-07 8.5e-03 1.2e-05 1.01e+00 1.664077662e+02 1.664082229e+02 1.0e-10 18.99 70 1.7e-07 8.4e-03 1.1e-05 1.00e+00 1.664077970e+02 1.664082080e+02 9.4e-11 19.27 71 1.5e-07 8.3e-03 9.9e-06 9.99e-01 1.664078247e+02 1.664081946e+02 8.4e-11 19.48 72 1.4e-07 8.2e-03 8.9e-06 1.00e+00 1.664078496e+02 1.664081825e+02 7.6e-11 19.50 73 1.2e-07 8.1e-03 8.0e-06 9.98e-01 1.664078720e+02 1.664081716e+02 6.8e-11 19.51 74 1.1e-07 8.1e-03 7.2e-06 1.00e+00 1.664078922e+02 1.664081618e+02 6.1e-11 19.54 75 9.9e-08 8.0e-03 6.5e-06 1.00e+00 1.664079103e+02 1.664081530e+02 5.5e-11 19.55 76 8.9e-08 8.0e-03 5.8e-06 9.99e-01 1.664079267e+02 1.664081451e+02 5.0e-11 19.57 77 8.0e-08 7.9e-03 5.2e-06 1.00e+00 1.664079414e+02 1.664081379e+02 4.5e-11 19.61 78 7.2e-08 7.9e-03 4.7e-06 9.93e-01 1.664079546e+02 1.664081315e+02 4.0e-11 20.16 79 6.5e-08 7.8e-03 4.3e-06 9.88e-01 1.664079665e+02 1.664081258e+02 3.6e-11 20.83 80 5.9e-08 7.8e-03 3.8e-06 9.97e-01 1.664079772e+02 1.664081206e+02 3.3e-11 20.92 81 5.3e-08 7.7e-03 3.4e-06 9.92e-01 1.664079868e+02 1.664081160e+02 2.9e-11 21.68 82 4.8e-08 7.7e-03 3.1e-06 9.94e-01 1.664079955e+02 1.664081118e+02 2.6e-11 21.73 83 4.3e-08 6.9e-03 2.8e-06 1.01e+00 1.664080035e+02 1.664081078e+02 2.4e-11 21.76 84 3.8e-08 6.2e-03 2.5e-06 1.01e+00 1.664080107e+02 1.664081043e+02 2.2e-11 21.83 85 3.5e-08 5.6e-03 2.3e-06 1.01e+00 1.664080171e+02 1.664081011e+02 1.9e-11 22.41 86 3.1e-08 5.1e-03 2.0e-06 9.99e-01 1.664080228e+02 1.664080984e+02 1.7e-11 23.02 87 2.8e-08 4.6e-03 1.8e-06 9.95e-01 1.664080279e+02 1.664080959e+02 1.6e-11 23.08 88 2.5e-08 4.1e-03 1.6e-06 1.01e+00 1.664080327e+02 1.664080936e+02 1.4e-11 23.31 89 2.3e-08 3.7e-03 1.5e-06 9.71e-01 1.664080367e+02 1.664080916e+02 1.3e-11 23.90 90 2.0e-08 3.3e-03 1.3e-06 9.82e-01 1.664080404e+02 1.664080898e+02 1.2e-11 24.69 91 1.8e-08 3.0e-03 1.2e-06 9.81e-01 1.664080437e+02 1.664080883e+02 1.0e-11 25.31 92 1.7e-08 2.7e-03 1.1e-06 9.66e-01 1.664080467e+02 1.664080868e+02 9.3e-12 25.82 93 1.5e-08 2.4e-03 9.7e-07 1.03e+00 1.664080497e+02 1.664080853e+02 8.5e-12 26.36 94 1.3e-08 2.2e-03 8.8e-07 9.99e-01 1.664080521e+02 1.664080842e+02 7.7e-12 26.43 95 1.2e-08 2.0e-03 7.9e-07 9.78e-01 1.664080542e+02 1.664080831e+02 6.9e-12 26.86 96 1.1e-08 1.8e-03 7.1e-07 1.07e+00 1.664080568e+02 1.664080818e+02 6.4e-12 27.12 97 9.8e-09 1.6e-03 6.4e-07 1.03e+00 1.664080587e+02 1.664080808e+02 5.9e-12 27.24 98 8.8e-09 1.4e-03 5.7e-07 9.17e-01 1.664080602e+02 1.664080801e+02 5.3e-12 27.72 99 8.0e-09 1.3e-03 5.2e-07 1.11e+00 1.664080622e+02 1.664080791e+02 5.0e-12 27.99 100 7.2e-09 1.2e-03 4.7e-07 9.85e-01 1.664080633e+02 1.664080785e+02 4.5e-12 28.50 101 6.5e-09 1.0e-03 4.2e-07 1.04e+00 1.664080645e+02 1.664080779e+02 4.1e-12 28.65 102 6.0e-09 9.4e-04 3.8e-07 1.05e+00 1.664080657e+02 1.664080774e+02 3.8e-12 28.93 103 5.4e-09 8.4e-04 3.4e-07 9.50e-01 1.664080665e+02 1.664080770e+02 3.4e-12 29.38 104 4.8e-09 7.6e-04 3.1e-07 8.28e-01 1.664080671e+02 1.664080767e+02 3.1e-12 29.63 105 4.4e-09 6.8e-04 2.7e-07 9.56e-01 1.664080678e+02 1.664080764e+02 2.8e-12 29.78 106 4.0e-09 6.2e-04 2.5e-07 1.05e+00 1.664080685e+02 1.664080760e+02 2.6e-12 30.50 107 3.8e-09 5.5e-04 2.2e-07 1.16e+00 1.664080694e+02 1.664080756e+02 2.5e-12 30.64 108 3.6e-09 5.0e-04 2.0e-07 9.19e-01 1.664080698e+02 1.664080754e+02 2.3e-12 30.77 109 3.0e-09 4.5e-04 1.8e-07 8.18e-01 1.664080702e+02 1.664080752e+02 2.0e-12 30.79 110 2.7e-09 4.0e-04 1.6e-07 8.41e-01 1.664080705e+02 1.664080751e+02 1.8e-12 30.82 111 2.6e-09 3.6e-04 1.5e-07 8.65e-01 1.664080708e+02 1.664080750e+02 1.7e-12 30.85 112 2.9e-09 3.3e-04 1.3e-07 9.89e-01 1.664080711e+02 1.664080748e+02 1.5e-12 30.87 113 2.6e-09 2.9e-04 1.2e-07 1.27e+00 1.664080713e+02 1.664080747e+02 1.3e-12 30.89 114 2.3e-09 2.6e-04 1.1e-07 1.46e+00 1.664080716e+02 1.664080745e+02 1.2e-12 30.97 115 2.6e-09 2.4e-04 9.6e-08 1.48e+00 1.664080718e+02 1.664080744e+02 1.1e-12 31.66 116 2.9e-09 2.9e-05 1.2e-08 6.57e-01 1.664080735e+02 1.664080739e+02 2.5e-13 31.79 Interior-point optimizer terminated. Time: 31.79. Optimizer terminated. Time: 31.80 solsta = 1, prosta = 1 Interior-point solution summary Problem status : PRIMAL_AND_DUAL_FEASIBLE Solution status : OPTIMAL Primal. obj: 1.66408073. ---------------------------------------------------------------------- Ran 1 test in 370.599s OK Generating XML reports... 50e+02 Viol. con: 8e-08 var: 0e+00 Dual. obj: 1.6640807386e+02 Viol. con: 0e+00 var: 2e-04 * End solution on dual form. * Transforming to primal solution. Solving took 31.8 seconds. Solving took 9 GP solves and 216 seconds. Solves with these variables bounded: value near lower bound: Mission1.CruiseAlt value near upper bound: Mission1.T_{t_{4.1_{max-Cruise}}}, Mission1.Aircraft.Engine.Thrust.\alpha_{max}, Mission1.Aircraft.Wing.WingNoStruct.A_{tri}, Mission1.TotalTime, Mission1.Aircraft.HorizontalTail.WingBox.M_{r_{out}}, Mission1.Aircraft.LandingGear.d_{nacelle} Checking for relaxed constants... Solution check warning: Primal solution computed cost did not match solver-returned cost: 1.4957408174727569e+110 vs 1.49570280094e+110 GP iteration 0 has relaxed constants Cost ---- 1.496e+110 Free Variables -------------- | Mission1.Aircraft.Engine.Turbine.Relax1 C_{p_{t2}} : 2.251 Cp Value for Combustion Products in LP Turbine | Mission1.Aircraft.Fuselage.Relax1 l_{nose} : 1.042 Nose length n_{pass} : [ 2.86 ] Number of passengers | Mission1.Aircraft.Relax1 f_{L_{total/wing}} : 1.656 Total lift as a percentage of wing lift | Mission1.Aircraft.Wing.WingNoStruct.Relax1 \tan(\Lambda) : 1.133 Tangent of quarter-chord sweep angle | Mission1.FlightState.Atmosphere.Relax1 L_{atm} : [ 1.77 1 1 1 1 ] Temperature lapse rate T_{sl} : [ 1 1 1.25 1 1 ] Temperature at sea level | Mission1.Relax1 R_{req} : 2.362 Required Cruise Range GP iteration 1 has relaxed constants Cost ---- 7.486e+74 Free Variables -------------- | Mission1.Aircraft.Engine.Combustor.Relax1 hold_{4a} : 1.093 1+(gamma-1)/2 * M_4a**2 | Mission1.Aircraft.Fuselage.Relax1 n_{pass} : [ 1.03 ] Number of passengers | Mission1.Aircraft.LandingGear.Relax1 h_{hold} : 1.006 Hold height Solution check warning: Primal solution computed cost did not match solver-returned cost: 3.705393389633906e+72 vs 3.70526988487e+72 WEIGHT DIFFERENCES Total Fuel Weight Percent Diff: [-92.94682434] Total Aircraft Weight Percent Diff: [-21.48057527] Engine Weight Percent Diff: -56.2783119990263 Fuselage Weight Percent Diff: -0.8697446456748472 Payload Weight Percent Diff: [-0.04003562] VT Weight Percent Diff: -8.607995032448475 HT Weight Percent Diff: -93.2333241432869 Wing Weight Percent Diff: 8.267526528644709 WING DIFFERENCES Wing Span Percent Diff: -0.029992566430807815 Wing Area Percent Diff: 32.89968132786088 HORIZONTAL TAIL DIFFERENCES HT Area Percent Diff: 40.488528318556156 VERTICAL TAIL DIFFERENCES VT Span Percent Diff: -11.022362579508018 VT Area Percent Diff: -60.386855355383666 CRUISE SEGMENT 1 DRAG DIFFERENCES Overall Cd Percent Diff: [-18.5471522] L/D Percent Diff: [24.01023593] Nacelle Cd Percent Diff: [-94.27641724] HT Cd Percent Diff: [-80.76942404] dimensionless Fuselage Cd Percent Diff: [108.78752887] VT Cd Percent Diff: [-58.00292948] dimensionless Wing Cd percent Diff: [-14.22909473] Induced Drag Cd Percent Diff: [1.2195173] CRUISE SEGMENT 1 TSFC DIFFERENCES Initial Cruise TSFC Percent Diff: [-90.57035669] FUSELAGE DIFFERENCES Weight of HB material: -38.361313581218184 Weight of VB material: 87.81517773952784 Fan Propulsive Efficiency in Cruise Segment 1 --------------------- [0.71260513] Found no installed solvers, beginning a build. # Moving to the directory from which GPkit was imported. Started building gpkit... Attempting to find and build solvers: # Looking for mosek # Found /Users/jenkins/mosek/7/tools/platform/osx64x86/h/mosek.h # Found /Users/jenkins/mosek/7/tools/platform/osx64x86/bin/libmosek64.7.1.dylib # Found /Users/jenkins/mosek/7/tools/examples/c/scopt-ext.c # Found /Users/jenkins/mosek/7/tools/examples/c/expopt.c # Found /Users/jenkins/mosek/7/tools/examples/c/dgopt.c # Found /Users/jenkins/mosek/7/tools/examples/c/scopt-ext.h # Found /Users/jenkins/mosek/7/tools/examples/c/expopt.h # Found /Users/jenkins/mosek/7/tools/examples/c/dgopt.h # Found /Users/jenkins/mosek/7/tools/platform/osx64x86/h/mosek.h # Found mosek version 7, installed to /Users/jenkins/mosek # # Building mosek... # Replacing directory _mosek/lib # Replacing directory _mosek/build # Replacing directory /Users/jenkins/workspace/gpkit_ResearchModel_SPaircraft_PR/mosek/build_gpkit # # Copying expopt library files to _mosek/build # Copying /Users/jenkins/mosek/7/tools/examples/c/scopt-ext.c # Copying /Users/jenkins/mosek/7/tools/examples/c/expopt.c # Copying /Users/jenkins/mosek/7/tools/examples/c/dgopt.c # Copying /Users/jenkins/mosek/7/tools/examples/c/scopt-ext.h # Copying /Users/jenkins/mosek/7/tools/examples/c/expopt.h # Copying /Users/jenkins/mosek/7/tools/examples/c/dgopt.h # Copying /Users/jenkins/mosek/7/tools/platform/osx64x86/h/mosek.h # # Applying expopt patches... # # Change in _mosek/build/dgopt.con line 683 # -- printf("Number of Hessian non-zeros: %d\n",nlh[0]->numhesnz) # ++ MSK_echotask(task,MSK_STREAM_MSG,"Number of Hessian non-zeros: %d\n",n # # Change in _mosek/build/expopt.con line 569 # -- printf("Warning: The variable with index '%d' has only positive # ++ MSK_echotask(expopttask,MSK_STREAM_MSG, "Warning: The variable with in # # Change in _mosek/build/expopt.con line 582 # -- printf("Warning: The variable with index '%d' has only negative # ++ MSK_echotask(expopttask,MSK_STREAM_MSG, "Warning: The variable with in # # Change in _mosek/build/expopt.con line 1115 # -- printf ("solsta = %d, prosta = %d\n", (int)*solsta,(int)*prosta); # ++ MSK_echotask(expopttask,MSK_STREAM_MSG, "solsta = %d, prosta = %d\n", # # Building expopt library... # Calling 'gcc -fpic -shared -Wl,-rpath "/Users/jenkins/mosek/7/tools/platform/osx64x86/bin" _mosek/build/scopt-ext.c _mosek/build/expopt.c _mosek/build/dgopt.c "/Users/jenkins/mosek/7/tools/platform/osx64x86/bin/libmosek64.7.1.dylib" -o /Users/jenkins/workspace/gpkit_ResearchModel_SPaircraft_PR/mosek/build_gpkit/expopt.so' ## ### CALL BEGINS ### CALL ENDS ## # Calling 'install_name_tool -change @loader_path/libmosek64.7.1.dylib /Users/jenkins/mosek/7/tools/platform/osx64x86/bin/libmosek64.7.1.dylib /Users/jenkins/workspace/gpkit_ResearchModel_SPaircraft_PR/mosek/build_gpkit/expopt.so' ## ### CALL BEGINS ### CALL ENDS ## # # Building Python bindings for expopt and Mosek... # (if this fails on Windows, verify the mingw version) # Calling 'python modified_ctypesgen.py -a -l /Users/jenkins/workspace/gpkit_ResearchModel_SPaircraft_PR/mosek/build_gpkit/expopt.so -l "/Users/jenkins/mosek/7/tools/platform/osx64x86/bin/libmosek64.7.1.dylib" -o _mosek/lib/expopt_h.py _mosek/build/expopt.h' ## ### CALL BEGINS ### CALL ENDS ## # Done building mosek # Looking for mosek_cli # Trying to run mskexpopt... # Calling 'mskexpopt' ## ### CALL BEGINS ### CALL ENDS ## # Found mosek_cli in system path # Looking for cvxopt # Trying to import cvxopt... # Did not find cvxopt ...finished building gpkit. Replaced found solvers ([u'mosek', u'mosek_cli']) with environment var GPKITSOLVERS (mosek, mosek_cli) Found the following solvers: mosek, mosek_cli # Replacing directory env x[:] <= w GPkit is now installed with solver(s) [u'mosek', u'mosek_cli'] To incorporate new solvers at a later date, run `gpkit.build()`. If any tests didn't pass, please post the output above (starting from "Found no installed solvers, beginning a build.") to gpkit@mit.edu or https://github.com/convexengineering/gpkit/issues/new so we can prevent others from having these errors. The same goes for any other bugs you encounter with GPkit: send 'em our way, along with any interesting models, speculative features, comments, discussions, or clarifications you feel like sharing. Finally, we hope you find our documentation (https://gpkit.readthedocs.io/) and engineering-design models (https://github.com/convexengineering/gplibrary/) to be useful resources for your own applications. Enjoy! SETTINGS defaultdict(<type 'str'>, {'skipsolvers': 'cvxopt, mosek_cli', 'pip install': 'git+https://github.com/hoburg/turbofan.git', 'gpkit-models branch': 'master'}) calling ['git', 'clone', '--depth', '1', '-b', 'master', 'https://github.com/convexengineering/gplibrary.git'] attempt 1 calling ['python', '/Users/jenkins/workspace/gpkit_ResearchModel_SPaircraft_PR/mosek/venv2_gpkit/bin/pip', 'install', '--no-cache-dir', '--no-deps', '-e', 'gplibrary'] attempt 1 calling ['python', '/Users/jenkins/workspace/gpkit_ResearchModel_SPaircraft_PR/mosek/venv2_gpkit/bin/pip', 'install', 'git+https://github.com/hoburg/turbofan.git'] attempt 1 calling ['python', '/Users/jenkins/workspace/gpkit_ResearchModel_SPaircraft_PR/mosek/venv2_gpkit/bin/pip', 'install', '.'] attempt 1 [Execution node] check if [macys_VM] is in [[windows10x64, windows7x64]] Run condition [Execution node ] preventing perform for step [Execute Windows batch command] [Cobertura] Publishing Cobertura coverage report... [Cobertura] No coverage results were found using the pattern 'coverage.xml' relative to '/Users/jenkins/workspace/gpkit_ResearchModel_SPaircraft_PR/mosek'. Did you enter a pattern relative to the correct directory? Did you generate the XML report(s) for Cobertura? [Cobertura] Skipped cobertura reports. INFO: Starting to record. INFO: Processing JUnit INFO: [JUnit] - 1 test report file(s) were found with the pattern '**/test_reports/*.xml' relative to '/Users/jenkins/workspace/gpkit_ResearchModel_SPaircraft_PR/mosek' for the testing framework 'JUnit'. INFO: Check 'Failed Tests' threshold. INFO: Check 'Skipped Tests' threshold. INFO: Setting the build status to SUCCESS INFO: Stopping recording. [WS-CLEANUP] Deleting project workspace... [WS-CLEANUP] Deferred wipeout is used... [WS-CLEANUP] done Finished: SUCCESS