From 5dd3f44e31a9e7188701a2d1264a30083e7324c8 Mon Sep 17 00:00:00 2001
From: Abdalaziz Rashid <abdalaziz.rashid@outlook.com>
Date: Wed, 5 Aug 2020 15:03:06 +0300
Subject: [PATCH] Add: Feynman dataset solutions

---
 output_no_units_parallel.log | 154 +++++++++++++++++++++++++++++++++++
 results/solution_I.18.14     |   2 +
 results/solution_I.39.11     |   3 +
 results/solution_I.41.16     |   9 ++
 results/solution_I.43.43     |   3 +
 results/solution_I.6.2a      |   5 ++
 results/solution_II.10.9     |   3 +
 results/solution_II.11.27    |   5 ++
 results/solution_II.11.28    |   6 ++
 results/solution_II.11.3     |   5 ++
 results/solution_II.13.23    |   4 +
 results/solution_II.13.34    |   4 +
 results/solution_II.15.4     |   4 +
 results/solution_II.2.42     |   3 +
 results/solution_II.21.32    |   5 ++
 results/solution_II.34.11    |   3 +
 results/solution_II.34.29b   |   2 +
 results/solution_II.35.18    |  15 ++++
 results/solution_II.37.1     |   2 +
 results/solution_II.38.14    |   3 +
 results/solution_II.38.3     |   4 +
 results/solution_II.6.11     |   7 ++
 results/solution_II.6.15a    |   9 ++
 results/solution_III.10.19   |   5 ++
 results/solution_III.12.43   |   6 ++
 results/solution_III.13.18   |   2 +
 results/solution_III.14.14   |   5 ++
 results/solution_III.15.27   |   6 ++
 results/solution_III.17.37   |   4 +
 results/solution_III.19.51   |   2 +
 results/solution_III.4.33    |   7 ++
 results/solution_III.9.52    |   4 +
 32 files changed, 301 insertions(+)
 create mode 100644 output_no_units_parallel.log
 create mode 100644 results/solution_I.18.14
 create mode 100644 results/solution_I.39.11
 create mode 100644 results/solution_I.41.16
 create mode 100644 results/solution_I.43.43
 create mode 100644 results/solution_I.6.2a
 create mode 100644 results/solution_II.10.9
 create mode 100644 results/solution_II.11.27
 create mode 100644 results/solution_II.11.28
 create mode 100644 results/solution_II.11.3
 create mode 100644 results/solution_II.13.23
 create mode 100644 results/solution_II.13.34
 create mode 100644 results/solution_II.15.4
 create mode 100644 results/solution_II.2.42
 create mode 100644 results/solution_II.21.32
 create mode 100644 results/solution_II.34.11
 create mode 100644 results/solution_II.34.29b
 create mode 100644 results/solution_II.35.18
 create mode 100644 results/solution_II.37.1
 create mode 100644 results/solution_II.38.14
 create mode 100644 results/solution_II.38.3
 create mode 100644 results/solution_II.6.11
 create mode 100644 results/solution_II.6.15a
 create mode 100644 results/solution_III.10.19
 create mode 100644 results/solution_III.12.43
 create mode 100644 results/solution_III.13.18
 create mode 100644 results/solution_III.14.14
 create mode 100644 results/solution_III.15.27
 create mode 100644 results/solution_III.17.37
 create mode 100644 results/solution_III.19.51
 create mode 100644 results/solution_III.4.33
 create mode 100644 results/solution_III.9.52

diff --git a/output_no_units_parallel.log b/output_no_units_parallel.log
new file mode 100644
index 0000000..aa7c2a2
--- /dev/null
+++ b/output_no_units_parallel.log
@@ -0,0 +1,154 @@
+INFO:root:{'III.13.18': array([[36.57060766285735, 4.550247640408479, 4550247.640408479, 0.0,
+        23.429392474512944, 8.91505505199440e-11],
+       [0.0003960505387426254, -11.302027839797272, -11302027.839797273,
+        6.321928094887362, 0.00039605053874262544, '4*pi*x0']],
+      dtype=object)}
+INFO:root:{'II.37.1': array([['30.000000001343675', '4.9068905956731355', '4906890.5956731355',
+        '0.0', '30.000000001343675', 'x0'],
+       ['3.289228836945565e-07', '-21.535747281929975',
+        '-21535747.281929974', '3.0', '3.2892288369455636e-07', 'x0 + 1']],
+      dtype='<U32')}
+INFO:root:{'III.19.51': array([['24.081314741250495', '4.589842254381291', '4589842.254381292',
+        '0.0', '24.081314741250495', '0'],
+       ['5.647234375079581e-09', '-27.39980834578584',
+        '-27399808.345785838', '13.584962500721156',
+        '5.6472343750795805e-09', '-0.125/x0**2']], dtype='<U32')}
+INFO:root:{'III.14.14': array([['30.85970357081458', '4.878360910171662', '4878360.910171662',
+        '0.0', '29.412569313163143',
+        'asin(0.000000000000*sqrt(exp(((x0+1))**(-1))))'],
+       ['29.210279221326296', '4.868404243855462', '4868404.243855462',
+        '3.0', '29.21027922132631', '1.50000000000000'],
+       ['28.35236907597377', '4.825397384247454', '4825397.384247454',
+        '4.584962500721156', '28.35236907597379', '2/x0'],
+       ['27.81822835451622', '4.797958637501465', '4797958.637501465',
+        '6.0', '27.818228354516222', '1.5/x0'],
+       ['7.268884829473797e-07', '-20.391762617039728',
+        '-20391762.61703973', '10.0', '7.268884829473792e-07',
+        'exp(1/x0) - 1']], dtype='<U46')}
+INFO:root:{'III.4.33': array([['26.290737189268583', '4.716482690414682', '4716482.690414682',
+        '0.0', '26.290737189268583', 'x0'],
+       ['22.658898217944188', '4.502005807142314', '4502005.8071423145',
+        '11.643856189774725', '22.658898217944188', 'x0 - 0.07'],
+       ['22.658481533490033', '4.501979276544167', '4501979.276544167',
+        '16.965784284662085', '22.658481533490022',
+        '(x0*(x0 - 0.16))**0.5'],
+       ['22.548084074885335', '4.494932946856186', '4494932.946856186',
+        '26.416665599935456', '22.548084074885317',
+        '(x0*(x0 + log(log((2 + 4*pi)**(1/pi)))))**0.5'],
+       ['19.11349123138255', '4.256519417010686', '4256519.417010686',
+        '29.80424344959478', '19.11349123138255',
+        '(x0**2 - 0.16*x0 + 0.01)**0.5'],
+       ['18.032683218363186', '4.172542177060247', '4172542.1770602474',
+        '35.64548429043134', '18.03268321836319',
+        '(x0**2 + x0*log(log((2 + 4*pi)**(1/pi))) + 0.01)**0.5'],
+       ['17.157005285884946', '4.100725850740927', '4100725.8507409273',
+        '66.69395636388344', '17.157005285884953',
+        '(x0**2 - 0.1591549430918953*x0 + 0.01)**0.5']], dtype='<U53')}
+INFO:root:{'II.38.14': array([['27.064393896161725', '4.7583241743201885', '4758324.174320188',
+        '0.0', '27.064393896161725', '0'],
+       ['25.603511150614796', '4.678269763402974', '4678269.763402974',
+        '5.0', '25.603511150614807', '0.5/x0'],
+       ['8.47300466346212e-09', '-26.814479190876447',
+        '-26814479.190876447', '8.754887502163468',
+        '8.47300466346212e-09', '0.500000000000*((x0+1))**(-1)']],
+      dtype='<U32')}
+INFO:root:{'II.6.11': array([[24.91363115902248, 4.63886340443597, 4638863.40443597, 0.0,
+        24.91363115902248, '-8.915072558055073e-11'],
+       [24.91363113734539, 4.638863403180696, 4638863.403180696,
+        10.754887502163468, 24.913631137345384, '-pi*exp(-exp(pi))'],
+       [20.52143209643687, 4.359059508402251, 4359059.508402252,
+        12.584962500721156, 20.521432096436865,
+        'asin(0.0833333333333333*cos(x0))'],
+       [12.27445776778958, 3.617587388836739, 3617587.388836739,
+        17.60964047443681, 12.274457767789572, 'asin(cos(x0)/(4*pi))'],
+       [11.607229189021997, 3.53695171632929, 3536951.71632929,
+        28.236446955124386, 11.607229189021998,
+        'asin(pi*sin(cos(x0)/pi**2)/4)'],
+       [11.577529861964756, 3.5332555730823176, 3533255.5730823176,
+        69.39500893210585, 11.577529861964752,
+        'asin(0.785437643527985*sin(cos(x0)/pi**2))'],
+       [11.577405736751007, 3.533240105552333, 3533240.105552333,
+        100.97220344060344, 11.577405736750997,
+        asin(0.785437643527985*sin(0.1013211780033*cos(x0)))]],
+      dtype=object)}
+INFO:root:{'III.15.27': array([['32.651368992645196', '5.029071576628298', '5029071.5766282985',
+        '0.0', '32.65136899264519', '0'],
+       ['nan', 'nan', 'nan', '5.754887502163468', 'nan', 'acos(-x0)'],
+       ['29.570858703869007', '4.886104233165548', '4886104.233165548',
+        '6.754887502163468', '29.570858703869007', 'acos(1 - x0)'],
+       ['28.17969118815505', '4.8165838966073595', '4816583.89660736',
+        '11.807354922057604', '28.17969118815505', '6*x0/x1'],
+       ['6.643797122366517e-06', '-17.199560550061296',
+        '-17199560.550061297', '12.584962500721156',
+        '6.6437971223665156e-06', '2*pi*x0/x1'],
+       ['6.643797122366517e-06', '-17.19959045660223',
+        '-17199590.45660223', '58.15848945789539',
+        '6.643659400307738e-06', '6.283185307179586*x0/x1']], dtype='<U32')}
+INFO:root:{'III.10.19': array([['29.667577204241404', '4.890815209162709', '4890815.209162709',
+        '0.0', '29.667577204241386', 'x1'],
+       ['29.664692327032483', '4.843528401367819', '4843528.401367819',
+        '5.754887502163468', '28.710934848338415',
+        '1/(0.000000000000+(x0/x1))'],
+       ['27.509606914525047', '4.781863619982525', '4781863.619982526',
+        '9.92481250360578', '27.50960691452505', '(x1**2 + 2)**0.5'],
+       ['26.449356617926124', '4.725160724016205', '4725160.724016205',
+        '12.584962500721156', '26.449356617926107',
+        '(x0 + x1**2 + 1)**0.5'],
+       ['2.6825572107565247e-07', '-21.82988772462039',
+        '-21829887.72462039', '14.169925001442312',
+        '2.6825572107565247e-07', '(x0**2 + x1**2 + 1)**0.5']],
+      dtype='<U32')}
+INFO:root:{'II.38.3': array([['29.20416081803319', '4.86810202440029', '4868102.02440029',
+        '0.0', '29.204160818033195', 'x1'],
+       ['3.132865116530134e-06', '-18.283636592181303',
+        '-18283636.592181303', '3.0', '3.133840984176429e-06',
+        '-0.000000000000+((x0/x1))**(-1)'],
+       ['3.132865116530134e-06', '-18.284085912574707',
+        '-18284085.91257471', '5.754887502163468',
+        '3.132865116530135e-06', 'x1/x0'],
+       ['3.132865116530134e-06', '-18.284085912574707',
+        '-18284085.91257471', '10.0', '3.132865116530134e-06',
+        '1.000000000000*(x1/x0)']], dtype='<U32')}
+INFO:root:{'II.6.15a': array([['28.495761948727154', '4.832675464333084', '4832675.464333084',
+        '0.0', '28.495761948727154', '0'],
+       ['27.380642712447607', '4.775084406610207', '4775084.406610208',
+        '2.0', '27.380642712447603', 'log(log(pi))'],
+       ['27.054294104422542', '4.757785694169851', '4757785.694169851',
+        '6.321928094887362', '27.05429410442252', '4*exp(-3)'],
+       ['25.30155195820018', '4.661153975211263', '4661153.975211264',
+        '7.339850002884624', '25.30155195820018',
+        '0.333333333333333*x0*x2'],
+       ['25.276008725588675', '4.659696763845128', '4659696.763845128',
+        '11.0', '25.276008725588685', 'x0*x2/pi'],
+       ['23.272252622734875', '4.540538957128693', '4540538.957128693',
+        '15.194602975157967', '23.27225262273488',
+        '0.166666666666667*x2*(x0 + x1)'],
+       ['21.63601106924245', '4.435362635591665', '4435362.635591665',
+        '29.0', '21.63601106924245', 'x2*(x0 + x1)*exp(-sqrt(pi))'],
+       ['21.588377090562414', '4.4321828875112645', '4432182.8875112645',
+        '29.558375050011747', '21.588377090562417',
+        '2*x2*(x0 + x1)*log(pi)/(1 + 4*pi)'],
+       ['21.18709874287426', '4.405114140557128', '4405114.140557128',
+        '55.550160087467745', '21.18709874287426',
+        '0.168816319869*(x2*(x1+x0))']], dtype='<U33')}
+INFO:root:{'III.9.52': array([[32.84659416339962, 4.913686532069664, 4913686.532069664, 0.0,
+        30.141650893217463, 'tan(-666.000000000000*sin(pi))'],
+       [32.84182393413422, 4.849625676726862, 4849625.676726862,
+        21.724214059872214, 28.832532911636633, 0.0731742799056452],
+       [28.374965935007765, 4.826546755293563, 4826546.755293563,
+        35.98584193700334, 28.374965935007765,
+        '(12 - 12*cos(x1 - x2))/(x0*(x1 - x2)**2)'],
+       [0.0015229204525354075, -9.35894369787947, -9358943.697879469,
+        38.43621560858933, 0.0015229204525354064,
+        '-4*pi*(cos(x1 - x2) - 1)/(x0*(x1 - x2)**2)']], dtype=object)}
+INFO:root:{'III.17.37': array([['31.225739937707367', '4.964663853808277', '4964663.853808277',
+        '0.0', '31.22573993770736', '0'],
+       ['31.257799461003707', '4.908431509806649', '4908431.509806649',
+        '1.0', '30.032059527985425', '1/(1.000000000000*(x0-(x0+1)))'],
+       ['31.243574989647236', '4.868332410905311', '4868332.410905311',
+        '14.60964047443681', '29.208824854162387',
+        '1/(-1.000000000000*(x0-log(x0)))'],
+       ['1.7431741319824306e-07', '-22.45177997151243',
+        '-22451779.97151243', '16.509775004326936',
+        '1.7431741319824306e-07', '0.000000000000+(x0*((x1*cos(x2))+1))']],
+      dtype='<U36')}
diff --git a/results/solution_I.18.14 b/results/solution_I.18.14
new file mode 100644
index 0000000..9921fae
--- /dev/null
+++ b/results/solution_I.18.14
@@ -0,0 +1,2 @@
+29.199776515901206 4.86788542219009 4867885.422190091 0.0 29.199776515901203 0
+3.869809801979284e-08 -24.623162098280734 -24623162.098280735 2.0 3.8698098019792816e-08 sin(x0)
diff --git a/results/solution_I.39.11 b/results/solution_I.39.11
new file mode 100644
index 0000000..24cf750
--- /dev/null
+++ b/results/solution_I.39.11
@@ -0,0 +1,3 @@
+28.918403330075854 4.853915993947761 4853915.993947761 1.0 28.91840333007587 1
+27.015303509762383 4.755704985239505 4755704.985239505 3.0 27.01530350976237 1/x0
+3.8490145443977394e-08 -24.630935636380688 -24630935.636380687 6.754887502163468 3.8490145443977394e-08 0.000000000000+((x0-1))**(-1)
diff --git a/results/solution_I.41.16 b/results/solution_I.41.16
new file mode 100644
index 0000000..5d056fb
--- /dev/null
+++ b/results/solution_I.41.16
@@ -0,0 +1,9 @@
+26.52341213583394 4.729194479492894 4729194.479492894 0.0 26.52341213583394 0
+22.516263519038066 4.492895532882613 4492895.532882612 6.321928094887363 22.516263519038066 0.1*x0
+22.35215520829344 4.482342038529134 4482342.038529133 11.584962500721156 22.352155208293457 2*x0*exp(-3)
+21.765293633202937 4.442258566416072 4442258.566416072 16.720671786825555 21.739676488086655 asin(0.1*x0 - 0.01)
+21.11880720719005 4.400456448292662 4400456.448292661 22.83845916493269 21.11880720719004 asin(x0/pi**2 - 0.01)
+21.088909897780603 4.398412617913137 4398412.617913137 25.416665599935456 21.088909897780603 asin(0.1*x0 - 1.0*exp(1 - 2*pi))
+21.072971868776285 4.397321883081677 4397321.883081677 25.651484454403228 21.07297186877628 tan(x0*log(log(3))*sin(log(x0 + 1)/2 + 1))
+19.31414652315343 4.27158602231386 4271586.02231386 27.00162810065661 19.314146523153543 asin(0.1*x0 - log(2) + log(log(1 + 2*pi)))
+18.008155737063543 4.170578533475639 4170578.533475639 51.61544621886562 18.008155737063547 asin(0.1*x0 - 0.00673794699908547)
diff --git a/results/solution_I.43.43 b/results/solution_I.43.43
new file mode 100644
index 0000000..7edce24
--- /dev/null
+++ b/results/solution_I.43.43
@@ -0,0 +1,3 @@
+28.91728816127691 4.853860358804314 4853860.358804314 1.0 28.917288161276893 1
+27.01635763399302 4.755761277412207 4755761.277412207 3.0 27.01635763399302 1/x0
+6.040924689221894e-08 -23.98065535814988 -23980655.35814988 6.754887502163468 6.040924689221891e-08 1/(x0 - 1)
diff --git a/results/solution_I.6.2a b/results/solution_I.6.2a
new file mode 100644
index 0000000..075aebf
--- /dev/null
+++ b/results/solution_I.6.2a
@@ -0,0 +1,5 @@
+25.5502918088963 4.675267863108713 4675267.863108713 0.0 25.5502918088963 0
+16.991234445196746 4.086718765730164 4086718.765730164 15.491853096329674 16.991234445196753 0.4*exp(-x0**2/2)
+16.991234445196746 4.086718765730163 4086718.765730163 19.101493570766486 16.991234445196746 0.4*exp(-0.5*x0**2)
+7.981114772196693e-08 -23.578834488341045 -23578834.488341045 24.779565475879124 7.981114772196695e-08 sqrt(2)*exp(-0.5*x0**2)/(2*sqrt(pi))
+7.981064652253219e-08 -23.578843548230925 -23578843.548230924 29.67970000576925 7.98106465225322e-08 sqrt(2)*exp(-1.0*x0**2.0)**0.5/(2*sqrt(pi))
diff --git a/results/solution_II.10.9 b/results/solution_II.10.9
new file mode 100644
index 0000000..175febc
--- /dev/null
+++ b/results/solution_II.10.9
@@ -0,0 +1,3 @@
+28.064858254334787 4.8106928676636205 4810692.86766362 0.0 28.064858254334787 0
+26.604553572874014 4.733601290041219 4733601.2900412185 3.0 26.604553572874018 1/x0
+2.9282883173699072e-08 -25.02536715166485 -25025367.15166485 6.754887502163468 2.928288317369907e-08 1/(x0 + 1)
diff --git a/results/solution_II.11.27 b/results/solution_II.11.27
new file mode 100644
index 0000000..0e3cb0c
--- /dev/null
+++ b/results/solution_II.11.27
@@ -0,0 +1,5 @@
+22.77297713033301 4.509251003419642 4509251.003419642 0.0 22.77297713033301 0.000000000000+(x0*x1)
+22.289843333097 4.437499871419407 4437499.8714194065 2.0 21.668086819815983 tan(0.000000000000+(x0*x1))
+20.993846246888534 4.391894599438973 4391894.599438973 9.0 20.993846246888534 -1.000000000000+exp(sin((x0*x1)))
+9.832766402766665e-08 -23.279571245496566 -23279571.245496567 9.339850002884624 9.820888240763341e-08 -0.000000000000+((x0*x1)/(((x0*x1)/((cos(pi)-1)-1))+1))
+5.129723825496818e-08 -24.54133213519386 -24541332.13519386 16.60964047443681 4.095650542223528e-08 -3.000000000000*((x0*x1)/((((x0*x1)-1)-1)-1))
diff --git a/results/solution_II.11.28 b/results/solution_II.11.28
new file mode 100644
index 0000000..6f3120a
--- /dev/null
+++ b/results/solution_II.11.28
@@ -0,0 +1,6 @@
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+27.24548632693982 4.767945337873829 4767945.337873829 1.0 27.245486326939798 1
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diff --git a/results/solution_II.11.3 b/results/solution_II.11.3
new file mode 100644
index 0000000..41fd1be
--- /dev/null
+++ b/results/solution_II.11.3
@@ -0,0 +1,5 @@
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diff --git a/results/solution_II.13.23 b/results/solution_II.13.23
new file mode 100644
index 0000000..6b15d1d
--- /dev/null
+++ b/results/solution_II.13.23
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diff --git a/results/solution_II.13.34 b/results/solution_II.13.34
new file mode 100644
index 0000000..b4c4f31
--- /dev/null
+++ b/results/solution_II.13.34
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diff --git a/results/solution_II.15.4 b/results/solution_II.15.4
new file mode 100644
index 0000000..75eb020
--- /dev/null
+++ b/results/solution_II.15.4
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diff --git a/results/solution_II.2.42 b/results/solution_II.2.42
new file mode 100644
index 0000000..46cbdf0
--- /dev/null
+++ b/results/solution_II.2.42
@@ -0,0 +1,3 @@
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diff --git a/results/solution_II.21.32 b/results/solution_II.21.32
new file mode 100644
index 0000000..62c174e
--- /dev/null
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diff --git a/results/solution_II.34.11 b/results/solution_II.34.11
new file mode 100644
index 0000000..252c87d
--- /dev/null
+++ b/results/solution_II.34.11
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diff --git a/results/solution_II.34.29b b/results/solution_II.34.29b
new file mode 100644
index 0000000..d938c5b
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diff --git a/results/solution_II.35.18 b/results/solution_II.35.18
new file mode 100644
index 0000000..d5b824d
--- /dev/null
+++ b/results/solution_II.35.18
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+23.086811364318827 4.528997023887213 4528997.023887212 249.49648716348534 23.086811364318827 0.19288704556216013*(-0.06816739544620876*x0**2 + x0*x1*(1 - log(pi)) + 0.8872020666474496*x0 + 0.03642442424006058*x1**2 - 0.42211562108625245*x1 + 1)**2
+23.050546317717448 4.526729039057007 4526729.039057007 256.06161725630693 23.050546317717437 (0.06816739544620876*x0**2 + 0.14942362847602014*x0*x1 - 0.8872020666474496*x0 - 0.03642442424006058*x1**2 + 0.42211562108625245*x1 - 1)**2*log(log(2) + log(pi))/pi
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diff --git a/results/solution_II.37.1 b/results/solution_II.37.1
new file mode 100644
index 0000000..5abe885
--- /dev/null
+++ b/results/solution_II.37.1
@@ -0,0 +1,2 @@
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diff --git a/results/solution_II.38.14 b/results/solution_II.38.14
new file mode 100644
index 0000000..7b116c3
--- /dev/null
+++ b/results/solution_II.38.14
@@ -0,0 +1,3 @@
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diff --git a/results/solution_II.38.3 b/results/solution_II.38.3
new file mode 100644
index 0000000..e5cc575
--- /dev/null
+++ b/results/solution_II.38.3
@@ -0,0 +1,4 @@
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diff --git a/results/solution_II.6.11 b/results/solution_II.6.11
new file mode 100644
index 0000000..726d914
--- /dev/null
+++ b/results/solution_II.6.11
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+11.577405736751007 3.533240105552333 3533240.105552333 100.97220344060344 11.577405736750997 asin(0.785437643527985*sin(0.1013211780033*cos(x0)))
diff --git a/results/solution_II.6.15a b/results/solution_II.6.15a
new file mode 100644
index 0000000..1dbb9a3
--- /dev/null
+++ b/results/solution_II.6.15a
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+25.276008725588675 4.659696763845128 4659696.763845128 11.0 25.276008725588685 x0*x2/pi
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+21.588377090562414 4.4321828875112645 4432182.8875112645 29.558375050011747 21.588377090562417 2*x2*(x0 + x1)*log(pi)/(1 + 4*pi)
+21.18709874287426 4.405114140557128 4405114.140557128 55.550160087467745 21.18709874287426 0.168816319869*(x2*(x1+x0))
diff --git a/results/solution_III.10.19 b/results/solution_III.10.19
new file mode 100644
index 0000000..b1f9ef4
--- /dev/null
+++ b/results/solution_III.10.19
@@ -0,0 +1,5 @@
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diff --git a/results/solution_III.12.43 b/results/solution_III.12.43
new file mode 100644
index 0000000..5e30a22
--- /dev/null
+++ b/results/solution_III.12.43
@@ -0,0 +1,6 @@
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diff --git a/results/solution_III.13.18 b/results/solution_III.13.18
new file mode 100644
index 0000000..e9a5fe1
--- /dev/null
+++ b/results/solution_III.13.18
@@ -0,0 +1,2 @@
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diff --git a/results/solution_III.14.14 b/results/solution_III.14.14
new file mode 100644
index 0000000..19715c7
--- /dev/null
+++ b/results/solution_III.14.14
@@ -0,0 +1,5 @@
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diff --git a/results/solution_III.15.27 b/results/solution_III.15.27
new file mode 100644
index 0000000..365b872
--- /dev/null
+++ b/results/solution_III.15.27
@@ -0,0 +1,6 @@
+32.651368992645196 5.029071576628298 5029071.5766282985 0.0 32.65136899264519 0
+nan nan nan 5.754887502163468 nan acos(-x0)
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diff --git a/results/solution_III.17.37 b/results/solution_III.17.37
new file mode 100644
index 0000000..66354c3
--- /dev/null
+++ b/results/solution_III.17.37
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diff --git a/results/solution_III.19.51 b/results/solution_III.19.51
new file mode 100644
index 0000000..eb39476
--- /dev/null
+++ b/results/solution_III.19.51
@@ -0,0 +1,2 @@
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diff --git a/results/solution_III.4.33 b/results/solution_III.4.33
new file mode 100644
index 0000000..261c67f
--- /dev/null
+++ b/results/solution_III.4.33
@@ -0,0 +1,7 @@
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+22.658481533490033 4.501979276544167 4501979.276544167 16.965784284662085 22.658481533490022 (x0*(x0 - 0.16))**0.5
+22.548084074885335 4.494932946856186 4494932.946856186 26.416665599935456 22.548084074885317 (x0*(x0 + log(log((2 + 4*pi)**(1/pi)))))**0.5
+19.11349123138255 4.256519417010686 4256519.417010686 29.80424344959478 19.11349123138255 (x0**2 - 0.16*x0 + 0.01)**0.5
+18.032683218363186 4.172542177060247 4172542.1770602474 35.64548429043134 18.03268321836319 (x0**2 + x0*log(log((2 + 4*pi)**(1/pi))) + 0.01)**0.5
+17.157005285884946 4.100725850740927 4100725.8507409273 66.69395636388344 17.157005285884953 (x0**2 - 0.1591549430918953*x0 + 0.01)**0.5
diff --git a/results/solution_III.9.52 b/results/solution_III.9.52
new file mode 100644
index 0000000..792e118
--- /dev/null
+++ b/results/solution_III.9.52
@@ -0,0 +1,4 @@
+32.84659416339962 4.913686532069664 4913686.532069664 0.0 30.141650893217463 tan(-666.000000000000*sin(pi))
+32.84182393413422 4.849625676726862 4849625.676726862 21.724214059872214 28.832532911636633 0.0731742799056452
+28.374965935007765 4.826546755293563 4826546.755293563 35.98584193700334 28.374965935007765 (12 - 12*cos(x1 - x2))/(x0*(x1 - x2)**2)
+0.0015229204525354075 -9.35894369787947 -9358943.697879469 38.43621560858933 0.0015229204525354064 -4*pi*(cos(x1 - x2) - 1)/(x0*(x1 - x2)**2)