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#+TITLE: Benchmarks for Weighted Tree Automata
#+PROPERTY: header-args :exports both :eval never-export
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* What fits in 16GB RAM
Finding the number of states that copar can solve in 16GB RAM for a few
different types of WTAs.
** Powerset
*** GHC 8.6.4 with symbols 0,8 and zero-freq 0.7
#+BEGIN_SRC sh
./bench.py bisect ../../copar/bin/{random-wta,copar} --monoid powerset --symbols 0,8 --zero-frequency 0.7 --good 1400 --bad 1600 --start-states 1500
#+END_SRC
#+RESULTS:
: Trying 1500...
: Trying 1450...
: Trying 1475...
: Trying 1487...
: Trying 1481...
: Trying 1478...
: Trying 1479...
: First bad state count: 1479
**** File Size
#+BEGIN_SRC sh :results output
ls -sh bench/wta_powerset_0,8_0.7_1478*
#+END_SRC
#+RESULTS:
: 82M bench/wta_powerset_0,8_0.7_1478_0.coalgebra
: 82M bench/wta_powerset_0,8_0.7_1478_1.coalgebra
: 82M bench/wta_powerset_0,8_0.7_1478_2.coalgebra
: 82M bench/wta_powerset_0,8_0.7_1478_3.coalgebra
: 82M bench/wta_powerset_0,8_0.7_1478_4.coalgebra
*** GHC 8.4.4 with symbols 0,8 and zero-freq 0.7
#+BEGIN_SRC sh
./bench.py bisect ../../copar/bin/{random-wta,copar} --monoid powerset --symbols 0,8 --zero-frequency 0.7 --start-states 1000
#+END_SRC
#+RESULTS:
: Trying 1000...
: Trying 2000...
: Trying 1500...
: Trying 1250...
: Trying 1375...
: Trying 1437...
: Trying 1468...
: Trying 1484...
: Trying 1476...
: Trying 1480...
: Trying 1478...
: Trying 1479...
: First bad state count: 1479
**** File Size
#+BEGIN_SRC sh :results output
ls -sh bench/wta_powerset_0,8_0.7_1478*
#+END_SRC
#+RESULTS:
: 82M bench/wta_powerset_0,8_0.7_1478_0.coalgebra
: 82M bench/wta_powerset_0,8_0.7_1478_1.coalgebra
: 82M bench/wta_powerset_0,8_0.7_1478_2.coalgebra
: 82M bench/wta_powerset_0,8_0.7_1478_3.coalgebra
: 82M bench/wta_powerset_0,8_0.7_1478_4.coalgebra
**** Automaton size
#+begin_src sh :hlines yes
python bench.py run ../../copar/bin/copar --monoid powerset --symbols 0,8 --zero-frequency 0.7 --states 1478 --indiv --header
#+end_src
#+RESULTS:
| i | states | edges | initial-partition-size | final-partition-size | explicit-final-partition-size | size1-skipped | overall-duration | parse-duration | algorithm-duration | initialize-duration | refine-duration |
| 0 | 5243856 | 10484756 | 10 | 18 | 2 | 0 | 115.339077581 | 34.439478263 | 79.458232767 | 27.712258503 | 37.668249537 |
| 1 | 5245405 | 10487854 | 10 | 18 | 2 | 0 | 114.001430765 | 34.477874858 | 78.07613373 | 27.764347556 | 37.074617863 |
| 2 | 5243549 | 10484142 | 10 | 18 | 2 | 0 | 114.862812706 | 34.668409012 | 78.756016051 | 27.741448159 | 37.09480403 |
| 3 | 5241660 | 10480364 | 10 | 18 | 2 | 0 | 114.228588077 | 34.362576104 | 78.424601434 | 27.648526393 | 37.043127108 |
| 4 | 5243032 | 10483108 | 10 | 18 | 2 | 0 | 114.692551901 | 34.827430372 | 78.414037199 | 27.723198479 | 38.276163878 |
*** GHC 8.4.4 with symbols 1,0,4 and zero-freq 0.7
#+BEGIN_SRC sh
./bench.py bisect ../../copar/bin/{random-wta,copar} --monoid powerset --symbols 1,0,4 --zero-frequency 0.7
#+END_SRC
#+RESULTS:
: Trying 50...
: Trying 100...
: Trying 200...
: Trying 150...
: Trying 175...
: Trying 162...
: Trying 156...
: Trying 153...
: Trying 151...
: Trying 152...
: First bad state count: 152
**** File Size
#+BEGIN_SRC sh :results output
ls -sh bench/wta_powerset_1,0,4_0.7_152*
#+END_SRC
#+RESULTS:
: 83M bench/wta_powerset_1,0,4_0.7_152_0.coalgebra
: 83M bench/wta_powerset_1,0,4_0.7_152_1.coalgebra
: 83M bench/wta_powerset_1,0,4_0.7_152_2.coalgebra
: 83M bench/wta_powerset_1,0,4_0.7_152_3.coalgebra
: 83M bench/wta_powerset_1,0,4_0.7_152_4.coalgebra
**** Automaton Size
#+begin_src sh :hlines yes
python bench.py run ../../copar/bin/copar --monoid powerset --symbols 1,0,4 --zero-frequency 0.7 --states 151 --indiv --header
#+end_src
#+RESULTS:
| i | states | edges | initial-partition-size | final-partition-size | explicit-final-partition-size | size1-skipped | overall-duration | parse-duration | algorithm-duration | initialize-duration | refine-duration |
| 0 | 4131380 | 12393591 | 7 | 69 | 4 | 0 | 92.530296805 | 32.925871573 | 58.292789973 | 13.413784138 | 32.25285307 |
| 1 | 4131667 | 12394466 | 7 | 69 | 4 | 0 | 104.072447103 | 32.6810851 | 70.054731043 | 22.601698388 | 34.657530397 |
| 2 | 4130798 | 12391837 | 7 | 69 | 4 | 0 | 104.65358267 | 32.641475967 | 70.686110886 | 22.881971907 | 34.580390995 |
| 3 | 4131273 | 12393268 | 7 | 69 | 4 | 0 | 104.436764929 | 33.010643372 | 70.097279338 | 22.722527765 | 34.948100296 |
| 4 | 4131755 | 12394730 | 7 | 69 | 4 | 0 | 103.940596569 | 32.874641172 | 69.748179673 | 22.561661198 | 34.530464508 |
*** GHC 8.4.4 with symbols 4,3,2 and zero-freq 0.7
#+BEGIN_SRC sh
./bench.py bisect ../../copar/bin/{random-wta,copar} --monoid powerset --symbols 4,3,2 --zero-frequency 0.7
#+END_SRC
#+RESULTS:
: Trying 50...
: Trying 100...
: Trying 200...
: Trying 150...
: Trying 175...
: Trying 187...
: Trying 193...
: Trying 190...
: Trying 191...
: First bad state count: 191
**** File Size
#+BEGIN_SRC sh :results output
ls -sh bench/wta_powerset_4,3,2_0.7_190*
#+END_SRC
#+RESULTS:
: 83M bench/wta_powerset_4,3,2_0.7_190_0.coalgebra
: 83M bench/wta_powerset_4,3,2_0.7_190_1.coalgebra
: 83M bench/wta_powerset_4,3,2_0.7_190_2.coalgebra
: 83M bench/wta_powerset_4,3,2_0.7_190_3.coalgebra
: 83M bench/wta_powerset_4,3,2_0.7_190_4.coalgebra
**** Automaton Size
#+begin_src sh :hlines yes
python bench.py run ../../copar/bin/copar --monoid powerset --symbols 4,3,2 --zero-frequency 0.7 --states 190 --indiv --header
#+end_src
#+RESULTS:
| i | states | edges | initial-partition-size | final-partition-size | explicit-final-partition-size | size1-skipped | overall-duration | parse-duration | algorithm-duration | initialize-duration | refine-duration |
| 0 | 4150153 | 12416791 | 11 | 72964 | 190 | 7474719 | 141.894074912 | 32.94816078 | 104.894412823 | 19.27142335 | 73.292672481 |
| 1 | 4149881 | 12415853 | 11 | 72964 | 190 | 7374059 | 143.936708293 | 32.959668876 | 106.847647981 | 19.335579933 | 74.389142529 |
| 2 | 4147912 | 12410153 | 11 | 72964 | 190 | 7530637 | 143.039477927 | 32.922891848 | 106.049882108 | 19.238034371 | 73.786648681 |
| 3 | 4149832 | 12415896 | 11 | 72964 | 190 | 7400820 | 141.899762867 | 32.763790399 | 105.08945468 | 19.081253852 | 73.103108932 |
| 4 | 4147931 | 12410198 | 11 | 72964 | 190 | 7356721 | 142.277553489 | 33.004372363 | 105.135364747 | 19.217062907 | 72.82642293 |
*** GHC 8.4.4 with symbols 0,0,0,0,0,3 and zero-freq 0.7
#+BEGIN_SRC sh
./bench.py bisect ../../copar/bin/{random-wta,copar} --monoid powerset --symbols 0,0,0,0,0,3 --zero-frequency 0.7 --start-states 2
#+END_SRC
#+RESULTS:
: Trying 2...
: Trying 4...
: Trying 8...
: Trying 16...
: Trying 12...
: Trying 10...
: Trying 11...
: First bad state count: 12
**** File Size
#+BEGIN_SRC sh :results output
ls -sh bench/wta_powerset_0,0,0,0,0,3_0.7_11*
#+END_SRC
#+RESULTS:
: 47M bench/wta_powerset_0,0,0,0,0,3_0.7_11_0.coalgebra
: 47M bench/wta_powerset_0,0,0,0,0,3_0.7_11_1.coalgebra
: 47M bench/wta_powerset_0,0,0,0,0,3_0.7_11_2.coalgebra
: 47M bench/wta_powerset_0,0,0,0,0,3_0.7_11_3.coalgebra
: 47M bench/wta_powerset_0,0,0,0,0,3_0.7_11_4.coalgebra
**** Automaton Size
#+begin_src sh :hlines yes
python bench.py run ../../copar/bin/copar --monoid powerset --symbols 0,0,0,0,0,3 --zero-frequency 0.7 --states 11 --indiv --header
#+end_src
#+RESULTS:
| i | states | edges | initial-partition-size | final-partition-size | explicit-final-partition-size | size1-skipped | overall-duration | parse-duration | algorithm-duration | initialize-duration | refine-duration |
| 0 | 1593503 | 9560952 | 5 | 98 | 2 | 0 | 44.433319213 | 19.470309466 | 24.352231629 | 11.34834025 | 10.606600771 |
| 1 | 1594688 | 9568062 | 5 | 98 | 2 | 0 | 44.35660646 | 19.503070403 | 24.284648797 | 11.546398372 | 10.351405421 |
| 2 | 1595746 | 9574410 | 5 | 98 | 2 | 0 | 44.979436845 | 19.622696684 | 24.756055326 | 11.448256352 | 10.958179969 |
| 3 | 1594811 | 9568800 | 5 | 98 | 2 | 0 | 44.518512407 | 19.486959131 | 24.465812029 | 11.501689163 | 10.63837111 |
| 4 | 1595187 | 9571056 | 5 | 98 | 2 | 0 | 44.449440224 | 19.537019031 | 24.300846734 | 11.389487771 | 10.5363747 |
** Z,max
*** GHC 8.4.4 with symbols 0,8 and zero-freq 0.7
#+BEGIN_SRC sh
./bench.py bisect ../../copar/bin/{random-wta,copar} --monoid 'Z,max' --symbols 0,8 --zero-frequency 0.7
#+END_SRC
#+RESULTS:
: Trying 50...
: Trying 100...
: Trying 200...
: Trying 400...
: Trying 800...
: Trying 1600...
: Trying 1200...
: Trying 1400...
: Trying 1500...
: Trying 1450...
: Trying 1475...
: Trying 1462...
: Trying 1456...
: Trying 1453...
: Trying 1451...
: First bad state count: 1451
#+BEGIN_SRC sh :results output
ls -sh bench/wta_Z,max_0,8_0.7_1450*
#+END_SRC
#+RESULTS:
: 182M bench/wta_Z,max_0,8_0.7_1450_0.coalgebra
: 182M bench/wta_Z,max_0,8_0.7_1450_1.coalgebra
: 182M bench/wta_Z,max_0,8_0.7_1450_2.coalgebra
: 182M bench/wta_Z,max_0,8_0.7_1450_3.coalgebra
: 182M bench/wta_Z,max_0,8_0.7_1450_4.coalgebra
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#+BEGIN_SRC sh
python bench.py run ../../copar/bin/copar --monoid 'Z,max' --symbols 0,8 --zero-frequency 0.7 --states 1450 --indiv --header
#+END_SRC
#+RESULTS:
| i | states | edges | initial-partition-size | final-partition-size | explicit-final-partition-size | size1-skipped | overall-duration | parse-duration | algorithm-duration | initialize-duration | refine-duration |
| 0 | 5047826 | 10092752 | 1458 | 13050 | 1450 | 9457197 | 127.724360284 | 43.258927035 | 81.171137974 | 26.874901612 | 40.422676395 |
| 1 | 5047514 | 10092128 | 1458 | 13050 | 1450 | 9456756 | 125.832804664 | 42.853972016 | 79.686342664 | 26.577174808 | 39.966384527 |
| 2 | 5049772 | 10096644 | 1458 | 13050 | 1450 | 9460968 | 126.336593045 | 42.68312591 | 80.349875424 | 26.745235991 | 40.031230363 |
| 3 | 5046916 | 10090932 | 1458 | 13050 | 1450 | 9455805 | 125.95962352 | 42.526542018 | 80.176310943 | 26.550162046 | 40.227319833 |
| 4 | 5049229 | 10095558 | 1458 | 13050 | 1450 | 9460347 | 126.718920083 | 42.559013501 | 80.863052096 | 26.756405734 | 40.145229524 |
*** GHC 8.4.4 with symbols 1,0,4 and zero-freq 0.7
#+BEGIN_SRC sh
./bench.py bisect ../../copar/bin/{random-wta,copar} --monoid 'Z,max' --symbols 1,0,4 --zero-frequency 0.7
#+END_SRC
#+RESULTS:
: Trying 50...
: Trying 100...
: Trying 200...
: Trying 150...
: Trying 175...
: Trying 162...
: Trying 156...
: Trying 153...
: Trying 151...
: First bad state count: 151
#+BEGIN_SRC sh :results output
ls -sh bench/wta_Z,max_1,0,4_0.7_150*
#+END_SRC
**** File Size
#+RESULTS:
: 162M bench/wta_Z,max_1,0,4_0.7_150_0.coalgebra
: 162M bench/wta_Z,max_1,0,4_0.7_150_1.coalgebra
: 162M bench/wta_Z,max_1,0,4_0.7_150_2.coalgebra
: 162M bench/wta_Z,max_1,0,4_0.7_150_3.coalgebra
: 162M bench/wta_Z,max_1,0,4_0.7_150_4.coalgebra
**** Automaton Size
#+BEGIN_SRC sh
python bench.py run ../../copar/bin/copar --monoid 'Z,max' --symbols 1,0,4 --zero-frequency 0.7 --states 150 --indiv --header
#+END_SRC
#+RESULTS:
| i | states | edges | initial-partition-size | final-partition-size | explicit-final-partition-size | size1-skipped | overall-duration | parse-duration | algorithm-duration | initialize-duration | refine-duration |
| 0 | 4051480 | 12153896 | 155 | 90151 | 150 | 7087519 | 120.395749162 | 40.871788157 | 74.90886142 | 22.238988672 | 39.72932804 |
| 1 | 4050707 | 12151583 | 155 | 90151 | 150 | 7087488 | 120.463605814 | 40.81720097 | 75.096220332 | 22.78192433 | 39.512466086 |
| 2 | 4048842 | 12145992 | 155 | 90151 | 150 | 7083654 | 120.367574362 | 40.847872293 | 74.879748499 | 22.174812232 | 39.882652278 |
| 3 | 4052208 | 12156090 | 155 | 90151 | 150 | 7090069 | 120.237306821 | 40.747046417 | 74.945644255 | 22.185753095 | 39.520022235 |
| 4 | 4048823 | 12145929 | 155 | 90151 | 150 | 7084229 | 121.046334089 | 41.206127141 | 75.236966807 | 22.108849249 | 39.746848148 |
*** GHC 8.4.4 with symbols 4,3,2 and zero-freq 0.7
#+BEGIN_SRC sh
./bench.py bisect ../../copar/bin/{random-wta,copar} --monoid 'Z,max' --symbols 4,3,2 --zero-frequency 0.7 --start-states 100
#+END_SRC
#+RESULTS:
: Trying 100...
: Trying 200...
: Trying 150...
: Trying 175...
: Trying 187...
: Trying 193...
: Trying 190...
: Trying 188...
: Trying 189...
: First bad state count: 189
**** File Size
#+BEGIN_SRC sh :results output
ls -sh bench/wta_Z,max_4,3,2_0.7_188*
#+END_SRC
#+RESULTS:
: 162M bench/wta_Z,max_4,3,2_0.7_188_0.coalgebra
: 162M bench/wta_Z,max_4,3,2_0.7_188_1.coalgebra
: 162M bench/wta_Z,max_4,3,2_0.7_188_2.coalgebra
: 162M bench/wta_Z,max_4,3,2_0.7_188_3.coalgebra
: 162M bench/wta_Z,max_4,3,2_0.7_188_4.coalgebra
**** Automaton Size
#+BEGIN_SRC sh
python bench.py run ../../copar/bin/copar --monoid 'Z,max' --symbols 4,3,2 --zero-frequency 0.7 --states 188 --indiv --header
#+END_SRC
#+RESULTS:
| i | states | edges | initial-partition-size | final-partition-size | explicit-final-partition-size | size1-skipped | overall-duration | parse-duration | algorithm-duration | initialize-duration | refine-duration |
| 0 | 4020872 | 12029832 | 197 | 71444 | 188 | 6045852 | 115.942447016 | 40.75075879 | 71.271681594 | 18.625916768 | 39.91853539 |
| 1 | 4017121 | 12018620 | 197 | 71444 | 188 | 6040501 | 113.960683621 | 40.210261362 | 69.908854506 | 18.715510494 | 39.429755908 |
| 2 | 4017092 | 12018743 | 197 | 71444 | 188 | 6040038 | 114.417975118 | 40.056454421 | 70.449543532 | 18.443439893 | 39.714702929 |
| 3 | 4013171 | 12006729 | 197 | 71444 | 188 | 6034912 | 104.421419394 | 40.426583126 | 60.116296609 | 10.279226244 | 37.258447268 |
| 4 | 4018149 | 12021895 | 197 | 71444 | 188 | 6042204 | 104.595285757 | 40.484957759 | 60.29935373 | 10.313693438 | 37.315322541 |
*** GHC 8.4.4 with symbols 0,0,0,0,0,3 and zero-freq 0.7
#+BEGIN_SRC sh
./bench.py bisect ../../copar/bin/{random-wta,copar} --monoid 'Z,max' --symbols 0,0,0,0,0,3 --zero-frequency 0.7 --start-states 6
#+END_SRC
#+RESULTS:
: Trying 6...
: Trying 12...
: Trying 9...
: Trying 10...
: Trying 11...
: First bad state count: 12
**** File Size
#+BEGIN_SRC sh :results output
ls -sh bench/wta_Z,max_0,0,0,0,0,3_0.7_11*
#+END_SRC
#+RESULTS:
: 79M bench/wta_Z,max_0,0,0,0,0,3_0.7_11_0.coalgebra
: 79M bench/wta_Z,max_0,0,0,0,0,3_0.7_11_1.coalgebra
: 79M bench/wta_Z,max_0,0,0,0,0,3_0.7_11_2.coalgebra
: 79M bench/wta_Z,max_0,0,0,0,0,3_0.7_11_3.coalgebra
: 79M bench/wta_Z,max_0,0,0,0,0,3_0.7_11_4.coalgebra
**** Automaton Size
#+BEGIN_SRC sh
python bench.py run ../../copar/bin/copar --monoid 'Z,max' --symbols 0,0,0,0,0,3 --zero-frequency 0.7 --states 11 --indiv --header
#+END_SRC
#+RESULTS:
| i | states | edges | initial-partition-size | final-partition-size | explicit-final-partition-size | size1-skipped | overall-duration | parse-duration | algorithm-duration | initialize-duration | refine-duration |
| 0 | 1595450 | 9572634 | 14 | 473731 | 11 | 2679440 | 59.567674089 | 22.815217966 | 34.656233896 | 10.712862563 | 21.527223791 |
| 1 | 1596274 | 9577578 | 14 | 473599 | 11 | 2680789 | 59.667949978 | 22.964709813 | 34.595654672 | 10.671440318 | 21.504327033 |
| 2 | 1593533 | 9561132 | 14 | 473725 | 11 | 2676188 | 59.60896951 | 22.965296594 | 34.468009878 | 10.694780509 | 21.357284246 |
| 3 | 1593597 | 9561516 | 14 | 473516 | 11 | 2675256 | 59.618517937 | 22.900218752 | 34.517770264 | 10.699678956 | 21.404437124 |
| 4 | 1595682 | 9574026 | 14 | 473759 | 11 | 2679419 | 59.829033166 | 22.84743033 | 34.719394797 | 10.690592405 | 21.632768706 |
** Word,or
*** GHC 8.4.4 with symbols 0,8 and zero-freq 0.7
#+BEGIN_SRC sh
./bench.py bisect ../../copar/bin/{random-wta,copar} --monoid 'Word,or' --symbols 0,8 --zero-frequency 0.7 --start-states 1000
#+END_SRC
#+RESULTS:
: Trying 1000...
: Trying 2000...
: Trying 1500...
: Trying 1250...
: Trying 1375...
: Trying 1437...
: Trying 1406...
: Trying 1421...
: Trying 1413...
: Trying 1409...
: Trying 1407...
: Trying 1408...
: First bad state count: 1409
**** File Size
#+BEGIN_SRC sh :results output
ls -sh bench/wta_Word,or_0,8_0.7_1408*
#+END_SRC
#+RESULTS:
: 164M bench/wta_Word,or_0,8_0.7_1408_0.coalgebra
: 164M bench/wta_Word,or_0,8_0.7_1408_1.coalgebra
: 165M bench/wta_Word,or_0,8_0.7_1408_2.coalgebra
: 165M bench/wta_Word,or_0,8_0.7_1408_3.coalgebra
: 165M bench/wta_Word,or_0,8_0.7_1408_4.coalgebra
**** Automaton Size
#+BEGIN_SRC sh
python bench.py run ../../copar/bin/copar --monoid 'Word,or' --symbols 0,8 --zero-frequency 0.7 --states 1408 --indiv --header
#+END_SRC
#+RESULTS:
| i | states | edges | initial-partition-size | final-partition-size | explicit-final-partition-size | size1-skipped | overall-duration | parse-duration | algorithm-duration | initialize-duration | refine-duration |
| 0 | 4757493 | 9512170 | 1416 | 12672 | 1408 | 8913294 | 122.529064018 | 49.673619826 | 69.872621378 | 24.487186873 | 37.636595831 |
| 1 | 4757305 | 9511794 | 1416 | 12672 | 1408 | 8912679 | 121.871882143 | 49.468009438 | 69.396700752 | 24.548033181 | 37.526833514 |
| 2 | 4760364 | 9517912 | 1416 | 12672 | 1408 | 8918643 | 122.195401637 | 49.367139075 | 69.859922188 | 24.551202679 | 37.745627532 |
| 3 | 4760232 | 9517648 | 1416 | 12672 | 1408 | 8918564 | 121.744240716 | 49.628682967 | 69.111452032 | 24.573090085 | 37.819264634 |
| 4 | 4759753 | 9516690 | 1416 | 12672 | 1408 | 8917624 | 118.671354206 | 49.213411686 | 66.440058464 | 25.139216435 | 33.058420248 |
*** GHC 8.4.4 with symbols 1,0,4 and zero-freq 0.7
#+BEGIN_SRC sh
./bench.py bisect ../../copar/bin/{random-wta,copar} --monoid 'Word,or' --symbols 1,0,4 --zero-frequency 0.7 --start-states 120
#+END_SRC
#+RESULTS:
: Trying 120...
: Trying 240...
: Trying 180...
: Trying 150...
: Trying 135...
: Trying 142...
: Trying 146...
: Trying 148...
: Trying 149...
: First bad state count: 149
**** File Size
#+BEGIN_SRC sh :results output
ls -sh bench/wta_Word,or_1,0,4_0.7_148*
#+END_SRC
#+RESULTS:
: 151M bench/wta_Word,or_1,0,4_0.7_148_0.coalgebra
: 151M bench/wta_Word,or_1,0,4_0.7_148_1.coalgebra
: 151M bench/wta_Word,or_1,0,4_0.7_148_2.coalgebra
: 151M bench/wta_Word,or_1,0,4_0.7_148_3.coalgebra
: 151M bench/wta_Word,or_1,0,4_0.7_148_4.coalgebra
**** Automaton Size
#+BEGIN_SRC sh
python bench.py run ../../copar/bin/copar --monoid 'Word,or' --symbols 1,0,4 --zero-frequency 0.7 --states 148 --indiv --header
#+END_SRC
#+RESULTS:
| i | states | edges | initial-partition-size | final-partition-size | explicit-final-partition-size | size1-skipped | overall-duration | parse-duration | algorithm-duration | initialize-duration | refine-duration |
| 0 | 3889583 | 11668189 | 153 | 87765 | 148 | 6805177 | 117.573809962 | 44.159477335 | 69.176479615 | 20.97881901 | 36.97313268 |
| 1 | 3891836 | 11675004 | 153 | 87765 | 148 | 6809318 | 118.060187599 | 44.059742822 | 69.709799716 | 20.986764025 | 37.089169403 |
| 2 | 3889498 | 11667962 | 153 | 87765 | 148 | 6805428 | 117.680086041 | 43.801892931 | 69.639925802 | 20.888711457 | 36.894495934 |
| 3 | 3890675 | 11671481 | 153 | 87765 | 148 | 6807190 | 118.213230214 | 44.026034118 | 69.934017821 | 20.807216331 | 36.920223682 |
| 4 | 3889335 | 11667465 | 153 | 87765 | 148 | 6804884 | 118.020940476 | 44.097067581 | 69.813347698 | 20.923033139 | 36.907214948 |
*** GHC 8.4.4 with symbols 4,3,2 and zero-freq 0.7
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#+BEGIN_SRC sh
./bench.py bisect ../../copar/bin/{random-wta,copar} --monoid 'Word,or' --symbols 4,3,2 --zero-frequency 0.7
#+END_SRC
#+RESULTS:
: Trying 50...
: Trying 100...
: Trying 200...
: Trying 150...
: Trying 175...
: Trying 187...
: Trying 181...
: Trying 184...
: Trying 185...
: Trying 186...
: First bad state count: 187
**** File Size
#+BEGIN_SRC sh :results output
ls -sh bench/wta_Word,or_4,3,2_0.7_186*
#+END_SRC
#+RESULTS:
: 152M bench/wta_Word,or_4,3,2_0.7_186_0.coalgebra
: 152M bench/wta_Word,or_4,3,2_0.7_186_1.coalgebra
: 152M bench/wta_Word,or_4,3,2_0.7_186_2.coalgebra
: 152M bench/wta_Word,or_4,3,2_0.7_186_3.coalgebra
: 152M bench/wta_Word,or_4,3,2_0.7_186_4.coalgebra
**** Automaton Size
#+BEGIN_SRC sh
python bench.py run ../../copar/bin/copar --monoid 'Word,or' --symbols 4,3,2 --zero-frequency 0.7 --states 186 --indiv --header
#+END_SRC
#+RESULTS:
| i | states | edges | initial-partition-size | final-partition-size | explicit-final-partition-size | size1-skipped | overall-duration | parse-duration | algorithm-duration | initialize-duration | refine-duration |
| 0 | 3890269 | 11638838 | 195 | 69940 | 186 | 5848699 | 114.733470175 | 43.499787726 | 67.5948969 | 17.660572753 | 37.835620352 |
| 1 | 3893818 | 11649123 | 195 | 69940 | 186 | 5854005 | 114.756947419 | 43.702682275 | 67.505722972 | 17.675712966 | 37.818639736 |
| 2 | 3893265 | 11647592 | 195 | 69940 | 186 | 5854134 | 115.418354168 | 43.606980048 | 68.133828807 | 17.837028275 | 37.992011256 |
| 3 | 3892206 | 11644421 | 195 | 69940 | 186 | 5852423 | 113.998060941 | 43.769845642 | 66.618120946 | 17.720427448 | 37.714434677 |
| 4 | 3892036 | 11643814 | 195 | 69940 | 186 | 5851296 | 115.965290499 | 44.138476758 | 68.234040288 | 17.763408679 | 38.356640369 |
*** GHC 8.4.4 with symbols 0,0,0,0,0,3 and zero-freq 0.7
#+BEGIN_SRC sh
./bench.py bisect ../../copar/bin/{random-wta,copar} --monoid 'Word,or' --symbols 0,0,0,0,0,3 --zero-frequency 0.7 --start-states 6
#+END_SRC
#+RESULTS:
: Trying 6...
: Trying 12...
: Trying 9...
: Trying 10...
: Trying 11...
: First bad state count: 12
**** File Size
#+BEGIN_SRC sh :results output
ls -sh bench/wta_Word,or_0,0,0,0,0,3_0.7_11*
#+END_SRC
#+RESULTS:
: 77M bench/wta_Word,or_0,0,0,0,0,3_0.7_11_0.coalgebra
: 77M bench/wta_Word,or_0,0,0,0,0,3_0.7_11_1.coalgebra
: 77M bench/wta_Word,or_0,0,0,0,0,3_0.7_11_2.coalgebra
: 77M bench/wta_Word,or_0,0,0,0,0,3_0.7_11_3.coalgebra
: 77M bench/wta_Word,or_0,0,0,0,0,3_0.7_11_4.coalgebra
**** Automaton Size
#+BEGIN_SRC sh
python bench.py run ../../copar/bin/copar --monoid 'Word,or' --symbols 0,0,0,0,0,3 --zero-frequency 0.7 --states 11 --indiv --header
#+END_SRC
#+RESULTS:
| i | states | edges | initial-partition-size | final-partition-size | explicit-final-partition-size | size1-skipped | overall-duration | parse-duration | algorithm-duration | initialize-duration | refine-duration |
| 0 | 1594413 | 9566412 | 14 | 473587 | 11 | 2676959 | 61.53939505 | 24.79942316 | 34.477272309 | 10.822832613 | 21.313535924 |
| 1 | 1596360 | 9578094 | 14 | 473404 | 11 | 2681034 | 61.147599248 | 24.824030133 | 34.101896988 | 10.793184 | 20.989457877 |
| 2 | 1595591 | 9573480 | 14 | 473700 | 11 | 2679546 | 61.459443653 | 24.801616514 | 34.389540062 | 10.893824596 | 21.133849133 |
| 3 | 1593825 | 9562884 | 14 | 473580 | 11 | 2676789 | 61.147557505 | 24.98879381 | 33.942496577 | 10.818043846 | 20.839884809 |
| 4 | 1596528 | 9579102 | 14 | 473600 | 11 | 2681048 | 61.864094058 | 24.884111862 | 34.762990208 | 10.893522867 | 21.485077775 |
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* Same Question, but with limited transition count
** Powerset
*** GHC 8.4.4 with symbols 0,8 and transitions 500
#+BEGIN_SRC sh
./bench.py bisect ../../copar/bin/{random-wta,copar} --monoid powerset --symbols 0,8 --transitions 5000
#+END_SRC
#+RESULTS:
: Trying 1000...
: Trying 2000...
: Trying 1500...
: Trying 1250...
: Trying 1375...
: Trying 1437...
: Trying 1468...
: Trying 1484...
: Trying 1476...
: Trying 1480...
: Trying 1478...
: Trying 1479...
: First bad state count: 1479
**** File Size
#+BEGIN_SRC sh :results output
ls -sh bench/wta_powerset_0,8_0.7_1478*
#+END_SRC
#+RESULTS:
: 82M bench/wta_powerset_0,8_0.7_1478_0.coalgebra
: 82M bench/wta_powerset_0,8_0.7_1478_1.coalgebra
: 82M bench/wta_powerset_0,8_0.7_1478_2.coalgebra
: 82M bench/wta_powerset_0,8_0.7_1478_3.coalgebra
: 82M bench/wta_powerset_0,8_0.7_1478_4.coalgebra
**** Automaton size
#+begin_src sh :hlines yes
python bench.py run ../../copar/bin/copar --monoid powerset --symbols 0,8 --zero-frequency 0.7 --states 1478 --indiv --header
#+end_src
#+RESULTS:
| i | states | edges | initial-partition-size | final-partition-size | explicit-final-partition-size | size1-skipped | overall-duration | parse-duration | algorithm-duration | initialize-duration | refine-duration |
| 0 | 5243856 | 10484756 | 10 | 18 | 2 | 0 | 115.339077581 | 34.439478263 | 79.458232767 | 27.712258503 | 37.668249537 |
| 1 | 5245405 | 10487854 | 10 | 18 | 2 | 0 | 114.001430765 | 34.477874858 | 78.07613373 | 27.764347556 | 37.074617863 |
| 2 | 5243549 | 10484142 | 10 | 18 | 2 | 0 | 114.862812706 | 34.668409012 | 78.756016051 | 27.741448159 | 37.09480403 |
| 3 | 5241660 | 10480364 | 10 | 18 | 2 | 0 | 114.228588077 | 34.362576104 | 78.424601434 | 27.648526393 | 37.043127108 |
| 4 | 5243032 | 10483108 | 10 | 18 | 2 | 0 | 114.692551901 | 34.827430372 | 78.414037199 | 27.723198479 | 38.276163878 |
*** GHC 8.4.4 with symbols 0,8 and out-degree 1000
#+BEGIN_SRC sh
./bench.py bisect ../../copar/bin/random-wta ../../copar/bin/copar --monoid powerset --symbols 0,8 --out-degree 1000 --good 1000
#+END_SRC
#+RESULTS:
: Trying 1001...
: Trying 2002...
: Trying 4004...
: Trying 8008...
: Trying 6006...
: Trying 7007...
: Trying 7507...
: Trying 7257...
: Trying 7382...
: Trying 7444...
: Trying 7413...
: Trying 7428...
: Trying 7420...
: Trying 7416...
: Trying 7414...
: Trying 7415...
: First bad state count: 7416
**** File Size
#+BEGIN_SRC sh :results output
ls -sh bench/wta_powerset_0,8_t7415000__7415*
#+END_SRC
#+RESULTS:
: 120M bench/wta_powerset_0,8_t7415000__7415_0.coalgebra
: 120M bench/wta_powerset_0,8_t7415000__7415_1.coalgebra
: 120M bench/wta_powerset_0,8_t7415000__7415_2.coalgebra
: 120M bench/wta_powerset_0,8_t7415000__7415_3.coalgebra
: 120M bench/wta_powerset_0,8_t7415000__7415_4.coalgebra
**** Automaton Size
#+begin_src sh :hlines yes
python bench.py run ../../copar/bin/copar --monoid powerset --symbols 0,8 --transitions 7415000 --states 7415 --indiv --header
#+end_src
#+RESULTS:
| i | states | edges | initial-partition-size | final-partition-size | explicit-final-partition-size | size1-skipped | overall-duration | parse-duration | algorithm-duration | initialize-duration | refine-duration |
| 0 | 7422415 | 14830000 | 10 | 18 | 2 | 0 | 157.872966092 | 51.221314999 | 104.615248956 | 33.7012898 | 58.664739269 |
| 1 | 7422415 | 14830000 | 10 | 18 | 2 | 0 | 157.428380106 | 51.433510926 | 103.926494829 | 33.216537153 | 58.775334589 |
| 2 | 7422415 | 14830000 | 10 | 18 | 2 | 0 | 156.808413994 | 51.343226544 | 103.40051371 | 32.969125294 | 58.865798525 |
| 3 | 7422415 | 14830000 | 10 | 18 | 2 | 0 | 157.791363724 | 51.873644617 | 103.855838314 | 33.05713406 | 58.931293578 |
| 4 | 7422415 | 14830000 | 10 | 18 | 2 | 0 | 157.126256596 | 51.400301031 | 103.666329167 | 32.976280595 | 58.830566981 |
* Next Try
We now use the following parameters:
- Signature :: 4×X^k k ∈ { 0, ..., 5 }
- GHC :: 8.4.4
** Powerset
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#+BEGIN_SRC shell
./bench.py bisect ../../copar/bin/random-wta ../../copar/bin/copar --monoid powerset --symbols 0,4 --out-degree 500 --good 8000 --start-states 12000 --bad 16000
#+END_SRC
: Trying 12000...
: Trying 14000...
: Trying 15000...
: Trying 14500...
: Trying 14250...
: Trying 14375...
: Trying 14312...
: Trying 14281...
: Trying 14296...
: Trying 14288...
: Trying 14284...
: Trying 14282...
: First bad state count: 14282
**** File Size
#+BEGIN_SRC sh :results output
ls -sh bench/wta_powerset_0,4_*__14281*
#+END_SRC
#+RESULTS:
: 118M bench/wta_powerset_0,4_t7140500__14281_0.coalgebra
**** Automaton Size
#+BEGIN_SRC shell
./bench.py generate ../../copar/bin/random-wta --monoid powerset --symbols 0,4 --out-degree 500 --states 14281
./bench.py run ../../copar/bin/copar --monoid powerset --symbols 0,4 --out-degree 500 --states 14281 --indiv --header
#+END_SRC
#+RESULTS:
| i | states | edges | initial-partition-size | final-partition-size | explicit-final-partition-size | size1-skipped | overall-duration | parse-duration | algorithm-duration | initialize-duration | refine-duration |
| 0 | 7154781 | 14281000 | 6 | 10 | 2 | 0 | 155.635043092 | 50.511676534 | 103.239235361 | 30.135940008 | 61.445316625 |
| 1 | 7154781 | 14281000 | 6 | 10 | 2 | 0 | 155.345664537 | 50.391815858 | 103.046448356 | 29.52881681 | 61.823502784 |
| 2 | 7154781 | 14281000 | 6 | 10 | 2 | 0 | 154.746389702 | 50.356318464 | 102.487287332 | 29.561887582 | 61.245616512 |
| 3 | 7154781 | 14281000 | 6 | 10 | 2 | 0 | 156.681042711 | 50.477922803 | 104.306181251 | 30.132009036 | 62.231759233 |
| 4 | 7154781 | 14281000 | 6 | 10 | 2 | 0 | 156.206931801 | 50.552217812 | 103.775304876 | 30.106012782 | 61.793692847 |
*** 4xX mit out-degree 20
#+BEGIN_SRC shell
./bench.py bisect ../../copar/bin/random-wta ../../copar/bin/copar --monoid powerset --symbols 0,4 --out-degree 20 --good 8000 --start-states 14281
#+END_SRC
: Trying 14281...
: Trying 28562...
: Trying 57124...
: Trying 114248...
: Trying 228496...
: Trying 456992...
: Trying 342744...
: Trying 399868...
: Trying 371306...
: Trying 357025...
: Trying 349884...
: Trying 353454...
: Trying 355239...
: Trying 356132...
: Trying 355685...
: Trying 355462...
: Trying 355573...
: Trying 355629...
: Trying 355657...
: Trying 355671...
: Trying 355678...
: Trying 355681...
: Trying 355683...
: Trying 355684...
: First bad state count: 355685
**** File Size
**** Automaton Size
#+BEGIN_SRC shell
./bench.py generate ../../copar/bin/random-wta --monoid powerset --symbols 0,4 --out-degree 20 --states 355684
./bench.py run ../../copar/bin/copar --monoid powerset --symbols 0,4 --out-degree 20 --states 355684 --indiv --header
#+END_SRC
#+RESULTS:
| i | states | edges | initial-partition-size | final-partition-size | explicit-final-partition-size | size1-skipped | overall-duration | parse-duration | algorithm-duration | initialize-duration | refine-duration |
| 0 | 7469364 | 14227360 | 6 | 1768728 | 355684 | 10883373 | 344.399732107 | 61.942569869 | 262.572157652 | 32.047148894 | 209.333188906 |
| 1 | 7469364 | 14227360 | 6 | 1768935 | 355684 | 10883077 | 340.732038227 | 60.912573518 | 260.176273796 | 31.928906963 | 208.837646082 |
| 2 | 7469364 | 14227360 | 6 | 1768908 | 355684 | 10885631 | 340.838739608 | 61.120402905 | 260.008098908 | 31.951679391 | 208.775189688 |
| 3 | 7469364 | 14227360 | 6 | 1768880 | 355684 | 10880372 | 340.237713603 | 61.448840572 | 259.027481579 | 31.936433445 | 207.318948419 |
| 4 | 7469364 | 14227360 | 6 | 1768875 | 355684 | 10886155 | 342.792217839 | 61.487509806 | 261.434824046 | 32.045849362 | 209.995181997 |
*** 4xX mit out-degree 50
#+BEGIN_SRC shell
./bench.py bisect ../../copar/bin/random-wta ../../copar/bin/copar --monoid powerset --symbols 0,4 --out-degree 50 --good 130000 --bad 140000
#+END_SRC
: Trying 135000...
: Trying 132500...
: Trying 131250...
: Trying 131875...
: Trying 132187...
: Trying 132031...
: Trying 132109...
: Trying 132148...
: Trying 132167...
: Trying 132177...
: Trying 132182...
: Trying 132179...
: Trying 132178...
: First bad state count: 132179
**** Automaton Size
#+BEGIN_SRC shell
./bench.py run ../../copar/bin/copar --monoid powerset --symbols 0,4 --out-degree 50 --states 132178 --indiv --header
#+END_SRC
#+RESULTS:
| i | states | edges | initial-partition-size | final-partition-size | explicit-final-partition-size | size1-skipped | overall-duration | parse-duration | algorithm-duration | initialize-duration | refine-duration |
| 0 | 6741078 | 13217800 | 6 | 660888 | 132178 | 9275215 | 263.557139582 | 53.134795016 | 197.899988998 | 33.273151066 | 153.369899287 |
*** 4xX^2 mit out-degree 50
#+BEGIN_SRC shell
./bench.py bisect ../../copar/bin/random-wta ../../copar/bin/copar --monoid powerset --symbols 0,0,4 --out-degree 50 --start-states 80000
#+END_SRC
: Trying 80000...
: Trying 160000...
: Trying 120000...
: Trying 100000...
: Trying 90000...
: Trying 95000...
: Trying 97500...
: Trying 98750...
: Trying 98125...
: Trying 98437...
: Trying 98593...
: Trying 98671...
: Trying 98632...
: Trying 98651...
: Trying 98661...
: Trying 98666...
: Trying 98668...
: Trying 98669...
: Trying 98670...
: First bad state count: 98671
**** Automaton Size
#+BEGIN_SRC shell
./bench.py generate ../../copar/bin/random-wta --monoid powerset --symbols 0,0,4 --out-degree 50 --states 98670
./bench.py run ../../copar/bin/copar --monoid powerset --symbols 0,0,4 --out-degree 50 --states 98670 --indiv --header
#+END_SRC
#+RESULTS:
| i | states | edges | initial-partition-size | final-partition-size | explicit-final-partition-size | size1-skipped | overall-duration | parse-duration | algorithm-duration | initialize-duration | refine-duration |
| 0 | 5032170 | 14800500 | 6 | 5031861 | 98670 | 11563672 | 320.579655827 | 46.524207289 | 261.58724583 | 31.537501676 | 213.989949977 |
*** 4xX^3 mit out-degree 50
#+BEGIN_SRC shell
./bench.py bisect ../../copar/bin/random-wta ../../copar/bin/copar --monoid powerset --symbols 0,0,0,4 --out-degree 50 --start-states 60000
#+END_SRC
: Trying 60000...
: Trying 120000...
: Trying 90000...
: Trying 75000...
: Trying 82500...
: Trying 86250...
: Trying 84375...
: Trying 85312...
: Trying 84843...
: Trying 85077...
: Trying 84960...
: Trying 85018...
: Trying 84989...
: Trying 85003...
: Trying 85010...
: Trying 85014...
: Trying 85016...
: Trying 85017...
: First bad state count: 85018
**** Automaton Size
#+BEGIN_SRC shell
./bench.py generate ../../copar/bin/random-wta --monoid powerset --symbols 0,0,0,4 --out-degree 50 --states 85016
./bench.py run ../../copar/bin/copar --monoid powerset --symbols 0,0,0,4 --out-degree 50 --states 85016 --indiv --header
#+END_SRC
#+RESULTS:
| i | states | edges | initial-partition-size | final-partition-size | explicit-final-partition-size | size1-skipped | overall-duration | parse-duration | algorithm-duration | initialize-duration | refine-duration |
| 0 | 4335816 | 17003200 | 6 | 4335816 | 85016 | 11932210 | 261.096600392 | 47.614392976 | 203.643561011 | 20.446586332 | 167.587154416 |
*** 4xX^4 mit out-degree 50
#+BEGIN_SRC shell
./bench.py bisect ../../copar/bin/random-wta ../../copar/bin/copar --monoid powerset --symbols 0,0,0,0,4 --out-degree 50 --start-states 48000
#+END_SRC
: Trying 48000...
: Trying 96000...
: Trying 72000...
: Trying 60000...
: Trying 54000...
: Trying 57000...
: Trying 58500...
: Trying 59250...
: Trying 59625...
: Trying 59437...
: Trying 59531...
: Trying 59578...
: Trying 59601...
: Trying 59589...
: Trying 59595...
: Trying 59598...
: Trying 59596...
: First bad state count: 59596
**** Automaton Size
#+BEGIN_SRC shell
./bench.py generate ../../copar/bin/random-wta --monoid powerset --symbols 0,0,0,0,4 --out-degree 50 --states 59596
./bench.py run ../../copar/bin/copar --monoid powerset --symbols 0,0,0,0,4 --out-degree 50 --states 59596 --indiv --header
#+END_SRC
#+RESULTS:
| i | states | edges | initial-partition-size | final-partition-size | explicit-final-partition-size | size1-skipped | overall-duration | parse-duration | algorithm-duration | initialize-duration | refine-duration |
| 0 | 3039396 | 14899000 | 6 | 3039396 | 59596 | 13024716 | 200.034099951 | 41.065064963 | 152.485306449 | 25.383501709 | 121.316305478 |
*** 4xX^5 mit out-degree 50
#+BEGIN_SRC shell
./bench.py bisect ../../copar/bin/random-wta ../../copar/bin/copar --monoid powerset --symbols 0,0,0,0,0,4 --out-degree 50 --start-states 40000
#+END_SRC
: Trying 40000...
: Trying 80000...
: Trying 60000...
: Trying 50000...
: Trying 45000...
: Trying 47500...
: Trying 48750...
: Trying 49375...
: Trying 49687...
: Trying 49531...
: Trying 49453...
: Trying 49414...
: Trying 49394...
: Trying 49384...
: Trying 49379...
: Trying 49377...
: Trying 49376...
: First bad state count: 49376
**** Automaton Size
#+BEGIN_SRC shell
./bench.py generate ../../copar/bin/random-wta --monoid powerset --symbols 0,0,0,0,0,4 --out-degree 50 --states 49375
./bench.py run ../../copar/bin/copar --monoid powerset --symbols 0,0,0,0,0,4 --out-degree 50 --states 49375 --indiv --header
#+END_SRC
#+RESULTS:
| i | states | edges | initial-partition-size | final-partition-size | explicit-final-partition-size | size1-skipped | overall-duration | parse-duration | algorithm-duration | initialize-duration | refine-duration |
| 0 | 2518125 | 14812500 | 6 | 2518125 | 49375 | 13940781 | 164.986249384 | 38.769441334 | 119.843574846 | 24.415685672 | 90.703821725 |
*** Z,max
**** 4xX mit out-degree 50 und different-values 50
#+BEGIN_SRC shell
./bench.py bisect ../../copar/bin/random-wta ../../copar/bin/copar --monoid Z,max --symbols 0,4 --out-degree 50 --good 100000 --bad 130000 --different-values 50
#+END_SRC
: Trying 115000...
: Trying 107500...
: Trying 111250...
: Trying 113125...
: Trying 114062...
: Trying 114531...
: Trying 114765...
: Trying 114882...
: Trying 114941...
: Trying 114911...
: Trying 114896...
: Trying 114889...
: Trying 114885...
: Trying 114887...
: Trying 114888...
: First bad state count: 114889
**** 4xX^2 mit out-degree 50 und different-values 50
#+BEGIN_SRC shell
./bench.py bisect ../../copar/bin/random-wta ../../copar/bin/copar --monoid Z,max --symbols 0,0,4 --out-degree 50 --good 50000 --bad 100000 --different-values 50
#+END_SRC
: Trying 75000...
: Trying 87500...
: Trying 93750...
: Trying 96875...
: Trying 95312...