notebook.community

Edit and run

Large-Scale Black-Box Optimization

This notebook presents the application of the $\texttt{EmbeddedHunter }$ for Large-Scale Black-Box Optimization Problems, mathematically:

\begin{eqnarray} \text{minimize}\;\;& f(\mathbf{x})\\ \text{subject to}\;\;& \mathbf{x} \in \mathcal{X}\subset \mathbb{R}^n\;, \end{eqnarray}

where $n>>10^2$. Without loss of generality $\mathcal{X}=[-1,1]^n$.

By $\textit{Abdullah Al-Dujaili, 2016}$





In [22]:



    


#--------------------------------------------------------------------------
#Copyright (c) 2016 by Abdullah Al-Dujaili
#
#This file is part of EmbeddedHunter - large-scale black-box solver
#EmbeddedHunter is free software: you can redistribute it and/or modify it under
#the terms of the GNU General Public License as published by the Free
#Software Foundation, either version 3 of the License, or (at your option)
#any later version.
#
#EmbeddedHunter is distributed in the hope that it will be useful, but WITHOUT
#ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
#FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public License for
#more details.
#
#You should have received a copy of the GNU General Public License along
#with EmbeddedHunter.  If not, see <http://www.gnu.org/licenses/>.
#--------------------------------------------------------------------------
#Author information
#Abdullah Al-Dujaili
#ash.aldujaili@gmail.com
#--------------------------------------------------------------------------
import numpy as np
import time
import random
import os
import math
import matplotlib 
from Algorithms import EmbeddedHunter
from Algorithms import RESOO
from Algorithms import SRESOO
from Benchmark import LSProblem
import matplotlib
#matplotlib.use('GTKAgg')
from matplotlib import pyplot as plt

%matplotlib inline
# TOY Example
random.seed(412)
np.random.seed(412)
n = 10000
n_e = 1# the effective dimension is one
v = 1000
m = 5
# some functions
num_probs = 9
plt.subplots(2,(num_probs+1)//2, figsize=(25,10))
for pid in range(num_probs):
    problem = LSProblem(pid, isBenchmark = False, dim = n, dim_e = n_e) # False for optproblems
    problem.init_profile()
    f = lambda x : problem.f((problem.get_upper_range() - problem.get_lower_range()) * (x + 1.0) / 2.+ problem.get_lower_range())
    # EH
    record= EmbeddedHunter(n, f, v, M = m, n_e = n_e, eta= 0.35,isRecordTree = True)
    # RESOO
    problem.init_profile()
    RESOO(n, f, v, M = m, n_e = n_e, eta= 0.35)
    # SRESOO
    problem.init_profile()
    SRESOO(n, f, v, M = m, n_e = n_e, eta= 0.35)
    plt.subplot(2,(num_probs+1)//2,pid+1)
    problem.plot_profiles(legend=['EH','RESOO','SRESOO'])
plt.show()



    


















    
























In [23]:



    


%matplotlib notebook

import numpy as np
import matplotlib.pyplot as plt
import time

scale_y = 1
scale_x = 1
scale_z = 10

fig,ax = plt.subplots(1,1,figsize=(10,3))
ax.set_xlabel('$\mathcal{Y}$')
ax.set_ylabel('$h$')
ax.set_xlim(scale_x * record[0]['l_e'],scale_x * record[0]['u_e']) # first element in the record keeps the boundaries of the low-dimensional space Y
ax.set_ylim(1+ np.sqrt(v)* scale_y,0)

x = []
y = []
z = []
for node in record[1:100]:
    x= node['y'] * scale_x
    y= node['h'] * scale_y
    z= node['v'] * scale_z
    x_p = node['y_p'] * scale_x
    plt.scatter(x,y,s=z )
    fig.canvas.draw()
    plt.plot([x, x_p],[y, y-1])
    fig.canvas.draw()
    time.sleep(0.15)

#plt.scatter(x,y, s = z)



    


















    




















    
















    




















    























In [24]:



    


# view some information
record



    


















    
Out[24]:








[{'l_e': -2.857142857142857, 'u_e': 2.857142857142857},
 {'h': 1, 'v': 1, 'y': array([-1.9047619]), 'y_p': array([ 0.])},
 {'h': 1, 'v': 1, 'y': array([ 0.]), 'y_p': array([ 0.])},
 {'h': 1, 'v': 1, 'y': array([ 1.9047619]), 'y_p': array([ 0.])},
 {'h': 2, 'v': 1, 'y': array([ 1.26984127]), 'y_p': array([ 1.9047619])},
 {'h': 2, 'v': 2, 'y': array([ 1.9047619]), 'y_p': array([ 1.9047619])},
 {'h': 2, 'v': 1, 'y': array([ 2.53968254]), 'y_p': array([ 1.9047619])},
 {'h': 3, 'v': 1, 'y': array([ 1.69312169]), 'y_p': array([ 1.9047619])},
 {'h': 3, 'v': 2, 'y': array([ 1.9047619]), 'y_p': array([ 1.9047619])},
 {'h': 3, 'v': 1, 'y': array([ 2.11640212]), 'y_p': array([ 1.9047619])},
 {'h': 4, 'v': 1, 'y': array([ 1.83421517]), 'y_p': array([ 1.9047619])},
 {'h': 4, 'v': 2, 'y': array([ 1.9047619]), 'y_p': array([ 1.9047619])},
 {'h': 4, 'v': 1, 'y': array([ 1.97530864]), 'y_p': array([ 1.9047619])},
 {'h': 5, 'v': 1, 'y': array([ 1.88124633]), 'y_p': array([ 1.9047619])},
 {'h': 5, 'v': 2, 'y': array([ 1.9047619]), 'y_p': array([ 1.9047619])},
 {'h': 5, 'v': 1, 'y': array([ 1.92827748]), 'y_p': array([ 1.9047619])},
 {'h': 6, 'v': 1, 'y': array([ 1.89692338]), 'y_p': array([ 1.9047619])},
 {'h': 6, 'v': 2, 'y': array([ 1.9047619]), 'y_p': array([ 1.9047619])},
 {'h': 6, 'v': 1, 'y': array([ 1.91260043]), 'y_p': array([ 1.9047619])},
 {'h': 7, 'v': 1, 'y': array([ 1.90214906]), 'y_p': array([ 1.9047619])},
 {'h': 7, 'v': 2, 'y': array([ 1.9047619]), 'y_p': array([ 1.9047619])},
 {'h': 7, 'v': 1, 'y': array([ 1.90737475]), 'y_p': array([ 1.9047619])},
 {'h': 8, 'v': 1, 'y': array([ 1.90389096]), 'y_p': array([ 1.9047619])},
 {'h': 8, 'v': 2, 'y': array([ 1.9047619]), 'y_p': array([ 1.9047619])},
 {'h': 8, 'v': 1, 'y': array([ 1.90563285]), 'y_p': array([ 1.9047619])},
 {'h': 9, 'v': 1, 'y': array([ 1.90447159]), 'y_p': array([ 1.9047619])},
 {'h': 9, 'v': 2, 'y': array([ 1.9047619]), 'y_p': array([ 1.9047619])},
 {'h': 9, 'v': 1, 'y': array([ 1.90505222]), 'y_p': array([ 1.9047619])},
 {'h': 10, 'v': 1, 'y': array([ 1.90466513]), 'y_p': array([ 1.9047619])},
 {'h': 10, 'v': 2, 'y': array([ 1.9047619]), 'y_p': array([ 1.9047619])},
 {'h': 10, 'v': 1, 'y': array([ 1.90485868]), 'y_p': array([ 1.9047619])},
 {'h': 11, 'v': 1, 'y': array([ 1.90472965]), 'y_p': array([ 1.9047619])},
 {'h': 11, 'v': 2, 'y': array([ 1.9047619]), 'y_p': array([ 1.9047619])},
 {'h': 11, 'v': 1, 'y': array([ 1.90479416]), 'y_p': array([ 1.9047619])},
 {'h': 12, 'v': 1, 'y': array([ 1.90475115]), 'y_p': array([ 1.9047619])},
 {'h': 12, 'v': 2, 'y': array([ 1.9047619]), 'y_p': array([ 1.9047619])},
 {'h': 12, 'v': 1, 'y': array([ 1.90477266]), 'y_p': array([ 1.9047619])},
 {'h': 13, 'v': 1, 'y': array([ 1.90475832]), 'y_p': array([ 1.9047619])},
 {'h': 13, 'v': 2, 'y': array([ 1.9047619]), 'y_p': array([ 1.9047619])},
 {'h': 13, 'v': 1, 'y': array([ 1.90476549]), 'y_p': array([ 1.9047619])},
 {'h': 14, 'v': 1, 'y': array([ 1.90476071]), 'y_p': array([ 1.9047619])},
 {'h': 14, 'v': 2, 'y': array([ 1.9047619]), 'y_p': array([ 1.9047619])},
 {'h': 14, 'v': 1, 'y': array([ 1.9047631]), 'y_p': array([ 1.9047619])},
 {'h': 15, 'v': 1, 'y': array([ 1.90476151]), 'y_p': array([ 1.9047619])},
 {'h': 15, 'v': 2, 'y': array([ 1.9047619]), 'y_p': array([ 1.9047619])},
 {'h': 15, 'v': 1, 'y': array([ 1.9047623]), 'y_p': array([ 1.9047619])},
 {'h': 16, 'v': 1, 'y': array([ 1.90476177]), 'y_p': array([ 1.9047619])},
 {'h': 16, 'v': 2, 'y': array([ 1.9047619]), 'y_p': array([ 1.9047619])},
 {'h': 16, 'v': 1, 'y': array([ 1.90476204]), 'y_p': array([ 1.9047619])},
 {'h': 17, 'v': 1, 'y': array([ 1.90476186]), 'y_p': array([ 1.9047619])},
 {'h': 17, 'v': 2, 'y': array([ 1.9047619]), 'y_p': array([ 1.9047619])},
 {'h': 17, 'v': 1, 'y': array([ 1.90476195]), 'y_p': array([ 1.9047619])},
 {'h': 18, 'v': 1, 'y': array([ 1.90476189]), 'y_p': array([ 1.9047619])},
 {'h': 18, 'v': 2, 'y': array([ 1.9047619]), 'y_p': array([ 1.9047619])},
 {'h': 18, 'v': 1, 'y': array([ 1.90476192]), 'y_p': array([ 1.9047619])},
 {'h': 19, 'v': 1, 'y': array([ 1.9047619]), 'y_p': array([ 1.9047619])},
 {'h': 19, 'v': 2, 'y': array([ 1.9047619]), 'y_p': array([ 1.9047619])},
 {'h': 19, 'v': 1, 'y': array([ 1.90476191]), 'y_p': array([ 1.9047619])},
 {'h': 19, 'v': 1, 'y': array([ 1.90476189]), 'y_p': array([ 1.90476189])},
 {'h': 19, 'v': 2, 'y': array([ 1.90476189]), 'y_p': array([ 1.90476189])},
 {'h': 19, 'v': 1, 'y': array([ 1.90476189]), 'y_p': array([ 1.90476189])},
 {'h': 20, 'v': 1, 'y': array([ 1.90476189]), 'y_p': array([ 1.90476189])},
 {'h': 20, 'v': 2, 'y': array([ 1.90476189]), 'y_p': array([ 1.90476189])},
 {'h': 20, 'v': 1, 'y': array([ 1.90476189]), 'y_p': array([ 1.90476189])},
 {'h': 21, 'v': 1, 'y': array([ 1.90476189]), 'y_p': array([ 1.90476189])},
 {'h': 21, 'v': 2, 'y': array([ 1.90476189]), 'y_p': array([ 1.90476189])},
 {'h': 21, 'v': 1, 'y': array([ 1.90476189]), 'y_p': array([ 1.90476189])},
 {'h': 22, 'v': 1, 'y': array([ 1.90476189]), 'y_p': array([ 1.90476189])},
 {'h': 22, 'v': 2, 'y': array([ 1.90476189]), 'y_p': array([ 1.90476189])},
 {'h': 22, 'v': 1, 'y': array([ 1.90476189]), 'y_p': array([ 1.90476189])},
 {'h': 23, 'v': 1, 'y': array([ 1.90476189]), 'y_p': array([ 1.90476189])},
 {'h': 23, 'v': 2, 'y': array([ 1.90476189]), 'y_p': array([ 1.90476189])},
 {'h': 23, 'v': 1, 'y': array([ 1.90476189]), 'y_p': array([ 1.90476189])},
 {'h': 24, 'v': 1, 'y': array([ 1.90476189]), 'y_p': array([ 1.90476189])},
 {'h': 24, 'v': 2, 'y': array([ 1.90476189]), 'y_p': array([ 1.90476189])},
 {'h': 24, 'v': 1, 'y': array([ 1.90476189]), 'y_p': array([ 1.90476189])},
 {'h': 25, 'v': 1, 'y': array([ 1.90476189]), 'y_p': array([ 1.90476189])},
 {'h': 25, 'v': 2, 'y': array([ 1.90476189]), 'y_p': array([ 1.90476189])},
 {'h': 25, 'v': 1, 'y': array([ 1.90476189]), 'y_p': array([ 1.90476189])},
 {'h': 26, 'v': 1, 'y': array([ 1.90476189]), 'y_p': array([ 1.90476189])},
 {'h': 26, 'v': 2, 'y': array([ 1.90476189]), 'y_p': array([ 1.90476189])},
 {'h': 26, 'v': 1, 'y': array([ 1.90476189]), 'y_p': array([ 1.90476189])},
 {'h': 27, 'v': 1, 'y': array([ 1.90476189]), 'y_p': array([ 1.90476189])},
 {'h': 27, 'v': 2, 'y': array([ 1.90476189]), 'y_p': array([ 1.90476189])},
 {'h': 27, 'v': 1, 'y': array([ 1.90476189]), 'y_p': array([ 1.90476189])},
 {'h': 28, 'v': 1, 'y': array([ 1.90476189]), 'y_p': array([ 1.90476189])},
 {'h': 28, 'v': 2, 'y': array([ 1.90476189]), 'y_p': array([ 1.90476189])},
 {'h': 28, 'v': 1, 'y': array([ 1.90476189]), 'y_p': array([ 1.90476189])},
 {'h': 29, 'v': 1, 'y': array([ 1.90476189]), 'y_p': array([ 1.90476189])},
 {'h': 29, 'v': 2, 'y': array([ 1.90476189]), 'y_p': array([ 1.90476189])},
 {'h': 29, 'v': 1, 'y': array([ 1.90476189]), 'y_p': array([ 1.90476189])},
 {'h': 30, 'v': 1, 'y': array([ 1.90476189]), 'y_p': array([ 1.90476189])},
 {'h': 30, 'v': 2, 'y': array([ 1.90476189]), 'y_p': array([ 1.90476189])},
 {'h': 30, 'v': 1, 'y': array([ 1.90476189]), 'y_p': array([ 1.90476189])},
 {'h': 31, 'v': 1, 'y': array([ 1.90476189]), 'y_p': array([ 1.90476189])},
 {'h': 31, 'v': 2, 'y': array([ 1.90476189]), 'y_p': array([ 1.90476189])},
 {'h': 31, 'v': 1, 'y': array([ 1.90476189]), 'y_p': array([ 1.90476189])},
 {'h': 31, 'v': 1, 'y': array([ 1.90476189]), 'y_p': array([ 1.90476189])},
 {'h': 31, 'v': 2, 'y': array([ 1.90476189]), 'y_p': array([ 1.90476189])},
 {'h': 31, 'v': 1, 'y': array([ 1.90476189]), 'y_p': array([ 1.90476189])},
 {'h': 32, 'v': 1, 'y': array([ 1.90476189]), 'y_p': array([ 1.90476189])},
 {'h': 32, 'v': 2, 'y': array([ 1.90476189]), 'y_p': array([ 1.90476189])},
 {'h': 32, 'v': 1, 'y': array([ 1.90476189]), 'y_p': array([ 1.90476189])},
 {'h': 2, 'v': 1, 'y': array([-2.53968254]), 'y_p': array([-1.9047619])},
 {'h': 2, 'v': 2, 'y': array([-1.9047619]), 'y_p': array([-1.9047619])},
 {'h': 2, 'v': 1, 'y': array([-1.26984127]), 'y_p': array([-1.9047619])},
 {'h': 2, 'v': 1, 'y': array([-0.63492063]), 'y_p': array([ 0.])},
 {'h': 2, 'v': 1, 'y': array([ 0.]), 'y_p': array([ 0.])},
 {'h': 2, 'v': 1, 'y': array([ 0.63492063]), 'y_p': array([ 0.])},
 {'h': 3, 'v': 1, 'y': array([-2.75132275]), 'y_p': array([-2.53968254])},
 {'h': 3, 'v': 2, 'y': array([-2.53968254]), 'y_p': array([-2.53968254])},
 {'h': 3, 'v': 1, 'y': array([-2.32804233]), 'y_p': array([-2.53968254])},
 {'h': 4, 'v': 1, 'y': array([-2.61022928]), 'y_p': array([-2.53968254])},
 {'h': 4, 'v': 3, 'y': array([-2.53968254]), 'y_p': array([-2.53968254])},
 {'h': 4, 'v': 1, 'y': array([-2.4691358]), 'y_p': array([-2.53968254])},
 {'h': 4, 'v': 1, 'y': array([-2.39858907]), 'y_p': array([-2.32804233])},
 {'h': 4, 'v': 2, 'y': array([-2.32804233]), 'y_p': array([-2.32804233])},
 {'h': 4, 'v': 1, 'y': array([-2.25749559]), 'y_p': array([-2.32804233])},
 {'h': 5, 'v': 1, 'y': array([-2.56319812]), 'y_p': array([-2.53968254])},
 {'h': 5, 'v': 3, 'y': array([-2.53968254]), 'y_p': array([-2.53968254])},
 {'h': 5, 'v': 1, 'y': array([-2.51616696]), 'y_p': array([-2.53968254])},
 {'h': 5, 'v': 1, 'y': array([-2.42210464]), 'y_p': array([-2.39858907])},
 {'h': 5, 'v': 2, 'y': array([-2.39858907]), 'y_p': array([-2.39858907])},
 {'h': 5, 'v': 1, 'y': array([-2.37507349]), 'y_p': array([-2.39858907])},
 {'h': 6, 'v': 1, 'y': array([-2.40642759]), 'y_p': array([-2.39858907])},
 {'h': 6, 'v': 3, 'y': array([-2.39858907]), 'y_p': array([-2.39858907])},
 {'h': 6, 'v': 1, 'y': array([-2.39075054]), 'y_p': array([-2.39858907])},
 {'h': 7, 'v': 1, 'y': array([-2.40120191]), 'y_p': array([-2.39858907])},
 {'h': 7, 'v': 3, 'y': array([-2.39858907]), 'y_p': array([-2.39858907])},
 {'h': 7, 'v': 1, 'y': array([-2.39597622]), 'y_p': array([-2.39858907])},
 {'h': 8, 'v': 1, 'y': array([-2.39946001]), 'y_p': array([-2.39858907])},
 {'h': 8, 'v': 3, 'y': array([-2.39858907]), 'y_p': array([-2.39858907])},
 {'h': 8, 'v': 1, 'y': array([-2.39771812]), 'y_p': array([-2.39858907])},
 {'h': 9, 'v': 1, 'y': array([-2.39887938]), 'y_p': array([-2.39858907])},
 {'h': 9, 'v': 3, 'y': array([-2.39858907]), 'y_p': array([-2.39858907])},
 {'h': 9, 'v': 1, 'y': array([-2.39829875]), 'y_p': array([-2.39858907])},
 {'h': 10, 'v': 1, 'y': array([-2.39868584]), 'y_p': array([-2.39858907])},
 {'h': 10, 'v': 3, 'y': array([-2.39858907]), 'y_p': array([-2.39858907])},
 {'h': 10, 'v': 1, 'y': array([-2.39849229]), 'y_p': array([-2.39858907])},
 {'h': 11, 'v': 1, 'y': array([-2.39862132]), 'y_p': array([-2.39858907])},
 {'h': 11, 'v': 3, 'y': array([-2.39858907]), 'y_p': array([-2.39858907])},
 {'h': 11, 'v': 1, 'y': array([-2.39855681]), 'y_p': array([-2.39858907])},
 {'h': 12, 'v': 1, 'y': array([-2.39859982]), 'y_p': array([-2.39858907])},
 {'h': 12, 'v': 3, 'y': array([-2.39858907]), 'y_p': array([-2.39858907])},
 {'h': 12, 'v': 1, 'y': array([-2.39857831]), 'y_p': array([-2.39858907])},
 {'h': 13, 'v': 1, 'y': array([-2.39859265]), 'y_p': array([-2.39858907])},
 {'h': 13, 'v': 3, 'y': array([-2.39858907]), 'y_p': array([-2.39858907])},
 {'h': 13, 'v': 1, 'y': array([-2.39858548]), 'y_p': array([-2.39858907])},
 {'h': 14, 'v': 1, 'y': array([-2.39859026]), 'y_p': array([-2.39858907])},
 {'h': 14, 'v': 3, 'y': array([-2.39858907]), 'y_p': array([-2.39858907])},
 {'h': 14, 'v': 1, 'y': array([-2.39858787]), 'y_p': array([-2.39858907])},
 {'h': 15, 'v': 1, 'y': array([-2.39858946]), 'y_p': array([-2.39858907])},
 {'h': 15, 'v': 3, 'y': array([-2.39858907]), 'y_p': array([-2.39858907])},
 {'h': 15, 'v': 1, 'y': array([-2.39858867]), 'y_p': array([-2.39858907])},
 {'h': 16, 'v': 1, 'y': array([-2.3985892]), 'y_p': array([-2.39858907])},
 {'h': 16, 'v': 3, 'y': array([-2.39858907]), 'y_p': array([-2.39858907])},
 {'h': 16, 'v': 1, 'y': array([-2.39858893]), 'y_p': array([-2.39858907])},
 {'h': 17, 'v': 1, 'y': array([-2.39858911]), 'y_p': array([-2.39858907])},
 {'h': 17, 'v': 3, 'y': array([-2.39858907]), 'y_p': array([-2.39858907])},
 {'h': 17, 'v': 1, 'y': array([-2.39858902]), 'y_p': array([-2.39858907])},
 {'h': 18, 'v': 1, 'y': array([-2.39858908]), 'y_p': array([-2.39858907])},
 {'h': 18, 'v': 3, 'y': array([-2.39858907]), 'y_p': array([-2.39858907])},
 {'h': 18, 'v': 1, 'y': array([-2.39858905]), 'y_p': array([-2.39858907])},
 {'h': 19, 'v': 1, 'y': array([-2.39858907]), 'y_p': array([-2.39858907])},
 {'h': 19, 'v': 3, 'y': array([-2.39858907]), 'y_p': array([-2.39858907])},
 {'h': 19, 'v': 1, 'y': array([-2.39858906]), 'y_p': array([-2.39858907])},
 {'h': 20, 'v': 1, 'y': array([-2.39858907]), 'y_p': array([-2.39858907])},
 {'h': 20, 'v': 3, 'y': array([-2.39858907]), 'y_p': array([-2.39858907])},
 {'h': 20, 'v': 1, 'y': array([-2.39858906]), 'y_p': array([-2.39858907])},
 {'h': 21, 'v': 1, 'y': array([-2.39858907]), 'y_p': array([-2.39858907])},
 {'h': 21, 'v': 3, 'y': array([-2.39858907]), 'y_p': array([-2.39858907])},
 {'h': 21, 'v': 1, 'y': array([-2.39858906]), 'y_p': array([-2.39858907])},
 {'h': 22, 'v': 1, 'y': array([-2.39858907]), 'y_p': array([-2.39858907])},
 {'h': 22, 'v': 3, 'y': array([-2.39858907]), 'y_p': array([-2.39858907])},
 {'h': 22, 'v': 1, 'y': array([-2.39858907]), 'y_p': array([-2.39858907])},
 {'h': 23, 'v': 1, 'y': array([-2.39858907]), 'y_p': array([-2.39858907])},
 {'h': 23, 'v': 3, 'y': array([-2.39858907]), 'y_p': array([-2.39858907])},
 {'h': 23, 'v': 1, 'y': array([-2.39858907]), 'y_p': array([-2.39858907])},
 {'h': 24, 'v': 1, 'y': array([-2.39858907]), 'y_p': array([-2.39858907])},
 {'h': 24, 'v': 3, 'y': array([-2.39858907]), 'y_p': array([-2.39858907])},
 {'h': 24, 'v': 1, 'y': array([-2.39858907]), 'y_p': array([-2.39858907])},
 {'h': 25, 'v': 1, 'y': array([-2.39858907]), 'y_p': array([-2.39858907])},
 {'h': 25, 'v': 3, 'y': array([-2.39858907]), 'y_p': array([-2.39858907])},
 {'h': 25, 'v': 1, 'y': array([-2.39858907]), 'y_p': array([-2.39858907])},
 {'h': 26, 'v': 1, 'y': array([-2.39858907]), 'y_p': array([-2.39858907])},
 {'h': 26, 'v': 3, 'y': array([-2.39858907]), 'y_p': array([-2.39858907])},
 {'h': 26, 'v': 1, 'y': array([-2.39858907]), 'y_p': array([-2.39858907])},
 {'h': 27, 'v': 1, 'y': array([-2.39858907]), 'y_p': array([-2.39858907])},
 {'h': 27, 'v': 3, 'y': array([-2.39858907]), 'y_p': array([-2.39858907])},
 {'h': 27, 'v': 1, 'y': array([-2.39858907]), 'y_p': array([-2.39858907])},
 {'h': 28, 'v': 1, 'y': array([-2.39858907]), 'y_p': array([-2.39858907])},
 {'h': 28, 'v': 3, 'y': array([-2.39858907]), 'y_p': array([-2.39858907])},
 {'h': 28, 'v': 1, 'y': array([-2.39858907]), 'y_p': array([-2.39858907])},
 {'h': 29, 'v': 1, 'y': array([-2.39858907]), 'y_p': array([-2.39858907])},
 {'h': 29, 'v': 3, 'y': array([-2.39858907]), 'y_p': array([-2.39858907])},
 {'h': 29, 'v': 1, 'y': array([-2.39858907]), 'y_p': array([-2.39858907])},
 {'h': 30, 'v': 1, 'y': array([-2.39858907]), 'y_p': array([-2.39858907])},
 {'h': 30, 'v': 3, 'y': array([-2.39858907]), 'y_p': array([-2.39858907])},
 {'h': 30, 'v': 1, 'y': array([-2.39858907]), 'y_p': array([-2.39858907])},
 {'h': 31, 'v': 1, 'y': array([-2.39858907]), 'y_p': array([-2.39858907])},
 {'h': 31, 'v': 3, 'y': array([-2.39858907]), 'y_p': array([-2.39858907])},
 {'h': 31, 'v': 1, 'y': array([-2.39858907]), 'y_p': array([-2.39858907])},
 {'h': 32, 'v': 1, 'y': array([-2.39858907]), 'y_p': array([-2.39858907])},
 {'h': 32, 'v': 3, 'y': array([-2.39858907]), 'y_p': array([-2.39858907])},
 {'h': 32, 'v': 1, 'y': array([-2.39858907]), 'y_p': array([-2.39858907])},
 {'h': 3, 'v': 1, 'y': array([ 2.32804233]), 'y_p': array([ 2.53968254])},
 {'h': 3, 'v': 2, 'y': array([ 2.53968254]), 'y_p': array([ 2.53968254])},
 {'h': 3, 'v': 1, 'y': array([ 2.75132275]), 'y_p': array([ 2.53968254])},
 {'h': 4, 'v': 1, 'y': array([ 2.4691358]), 'y_p': array([ 2.53968254])},
 {'h': 4, 'v': 3, 'y': array([ 2.53968254]), 'y_p': array([ 2.53968254])},
 {'h': 4, 'v': 1, 'y': array([ 2.61022928]), 'y_p': array([ 2.53968254])},
 {'h': 5, 'v': 1, 'y': array([ 2.5867137]), 'y_p': array([ 2.61022928])},
 {'h': 5, 'v': 2, 'y': array([ 2.61022928]), 'y_p': array([ 2.61022928])},
 {'h': 5, 'v': 1, 'y': array([ 2.63374486]), 'y_p': array([ 2.61022928])},
 {'h': 5, 'v': 1, 'y': array([-2.49265138]), 'y_p': array([-2.4691358])},
 {'h': 5, 'v': 2, 'y': array([-2.4691358]), 'y_p': array([-2.4691358])},
 {'h': 5, 'v': 1, 'y': array([-2.44562022]), 'y_p': array([-2.4691358])},
 {'h': 5, 'v': 1, 'y': array([-2.35155791]), 'y_p': array([-2.32804233])},
 {'h': 5, 'v': 3, 'y': array([-2.32804233]), 'y_p': array([-2.32804233])},
 {'h': 5, 'v': 1, 'y': array([-2.30452675]), 'y_p': array([-2.32804233])},
 {'h': 6, 'v': 1, 'y': array([ 2.57887517]), 'y_p': array([ 2.5867137])},
 {'h': 6, 'v': 2, 'y': array([ 2.5867137]), 'y_p': array([ 2.5867137])},
 {'h': 6, 'v': 1, 'y': array([ 2.59455222]), 'y_p': array([ 2.5867137])},
 {'h': 6, 'v': 1, 'y': array([-2.38291201]), 'y_p': array([-2.37507349])},
 {'h': 6, 'v': 2, 'y': array([-2.37507349]), 'y_p': array([-2.37507349])},
 {'h': 6, 'v': 1, 'y': array([-2.36723496]), 'y_p': array([-2.37507349])},
 {'h': 6, 'v': 1, 'y': array([-2.31236528]), 'y_p': array([-2.30452675])},
 {'h': 6, 'v': 2, 'y': array([-2.30452675]), 'y_p': array([-2.30452675])},
 {'h': 6, 'v': 1, 'y': array([-2.29668822]), 'y_p': array([-2.30452675])},
 {'h': 7, 'v': 1, 'y': array([-2.30713959]), 'y_p': array([-2.30452675])},
 {'h': 7, 'v': 3, 'y': array([-2.30452675]), 'y_p': array([-2.30452675])},
 {'h': 7, 'v': 1, 'y': array([-2.30191391]), 'y_p': array([-2.30452675])},
 {'h': 8, 'v': 1, 'y': array([-2.3053977]), 'y_p': array([-2.30452675])},
 {'h': 8, 'v': 3, 'y': array([-2.30452675]), 'y_p': array([-2.30452675])},
 {'h': 8, 'v': 1, 'y': array([-2.3036558]), 'y_p': array([-2.30452675])},
 {'h': 9, 'v': 1, 'y': array([-2.30481706]), 'y_p': array([-2.30452675])},
 {'h': 9, 'v': 3, 'y': array([-2.30452675]), 'y_p': array([-2.30452675])},
 {'h': 9, 'v': 1, 'y': array([-2.30423643]), 'y_p': array([-2.30452675])},
 {'h': 10, 'v': 1, 'y': array([-2.30462352]), 'y_p': array([-2.30452675])},
 {'h': 10, 'v': 3, 'y': array([-2.30452675]), 'y_p': array([-2.30452675])},
 {'h': 10, 'v': 1, 'y': array([-2.30442998]), 'y_p': array([-2.30452675])},
 {'h': 11, 'v': 1, 'y': array([-2.30455901]), 'y_p': array([-2.30452675])},
 {'h': 11, 'v': 3, 'y': array([-2.30452675]), 'y_p': array([-2.30452675])},
 {'h': 11, 'v': 1, 'y': array([-2.30449449]), 'y_p': array([-2.30452675])},
 {'h': 12, 'v': 1, 'y': array([-2.3045375]), 'y_p': array([-2.30452675])},
 {'h': 12, 'v': 3, 'y': array([-2.30452675]), 'y_p': array([-2.30452675])},
 {'h': 12, 'v': 1, 'y': array([-2.304516]), 'y_p': array([-2.30452675])},
 {'h': 13, 'v': 1, 'y': array([-2.30453033]), 'y_p': array([-2.30452675])},
 {'h': 13, 'v': 3, 'y': array([-2.30452675]), 'y_p': array([-2.30452675])},
 {'h': 13, 'v': 1, 'y': array([-2.30452316]), 'y_p': array([-2.30452675])},
 {'h': 14, 'v': 1, 'y': array([-2.30452794]), 'y_p': array([-2.30452675])},
 {'h': 14, 'v': 3, 'y': array([-2.30452675]), 'y_p': array([-2.30452675])},
 {'h': 14, 'v': 1, 'y': array([-2.30452555]), 'y_p': array([-2.30452675])},
 {'h': 15, 'v': 1, 'y': array([-2.30452715]), 'y_p': array([-2.30452675])},
 {'h': 15, 'v': 3, 'y': array([-2.30452675]), 'y_p': array([-2.30452675])},
 {'h': 15, 'v': 1, 'y': array([-2.30452635]), 'y_p': array([-2.30452675])},
 {'h': 16, 'v': 1, 'y': array([-2.30452688]), 'y_p': array([-2.30452675])},
 {'h': 16, 'v': 3, 'y': array([-2.30452675]), 'y_p': array([-2.30452675])},
 {'h': 16, 'v': 1, 'y': array([-2.30452662]), 'y_p': array([-2.30452675])},
 {'h': 17, 'v': 1, 'y': array([-2.30452679]), 'y_p': array([-2.30452675])},
 {'h': 17, 'v': 3, 'y': array([-2.30452675]), 'y_p': array([-2.30452675])},
 {'h': 17, 'v': 1, 'y': array([-2.3045267]), 'y_p': array([-2.30452675])},
 {'h': 18, 'v': 1, 'y': array([-2.30452676]), 'y_p': array([-2.30452675])},
 {'h': 18, 'v': 3, 'y': array([-2.30452675]), 'y_p': array([-2.30452675])},
 {'h': 18, 'v': 1, 'y': array([-2.30452673]), 'y_p': array([-2.30452675])},
 {'h': 19, 'v': 1, 'y': array([-2.30452675]), 'y_p': array([-2.30452675])},
 {'h': 19, 'v': 3, 'y': array([-2.30452675]), 'y_p': array([-2.30452675])},
 {'h': 19, 'v': 1, 'y': array([-2.30452674]), 'y_p': array([-2.30452675])},
 {'h': 20, 'v': 1, 'y': array([-2.30452675]), 'y_p': array([-2.30452675])},
 {'h': 20, 'v': 3, 'y': array([-2.30452675]), 'y_p': array([-2.30452675])},
 {'h': 20, 'v': 1, 'y': array([-2.30452675]), 'y_p': array([-2.30452675])},
 {'h': 21, 'v': 1, 'y': array([-2.30452675]), 'y_p': array([-2.30452675])},
 {'h': 21, 'v': 3, 'y': array([-2.30452675]), 'y_p': array([-2.30452675])},
 {'h': 21, 'v': 1, 'y': array([-2.30452675]), 'y_p': array([-2.30452675])},
 {'h': 22, 'v': 1, 'y': array([-2.30452675]), 'y_p': array([-2.30452675])},
 {'h': 22, 'v': 3, 'y': array([-2.30452675]), 'y_p': array([-2.30452675])},
 {'h': 22, 'v': 1, 'y': array([-2.30452675]), 'y_p': array([-2.30452675])},
 {'h': 23, 'v': 1, 'y': array([-2.30452675]), 'y_p': array([-2.30452675])},
 {'h': 23, 'v': 3, 'y': array([-2.30452675]), 'y_p': array([-2.30452675])},
 {'h': 23, 'v': 1, 'y': array([-2.30452675]), 'y_p': array([-2.30452675])},
 {'h': 24, 'v': 1, 'y': array([-2.30452675]), 'y_p': array([-2.30452675])},
 {'h': 24, 'v': 3, 'y': array([-2.30452675]), 'y_p': array([-2.30452675])},
 {'h': 24, 'v': 1, 'y': array([-2.30452675]), 'y_p': array([-2.30452675])},
 {'h': 25, 'v': 1, 'y': array([-2.30452675]), 'y_p': array([-2.30452675])},
 {'h': 25, 'v': 3, 'y': array([-2.30452675]), 'y_p': array([-2.30452675])},
 {'h': 25, 'v': 1, 'y': array([-2.30452675]), 'y_p': array([-2.30452675])},
 {'h': 26, 'v': 1, 'y': array([-2.30452675]), 'y_p': array([-2.30452675])},
 {'h': 26, 'v': 3, 'y': array([-2.30452675]), 'y_p': array([-2.30452675])},
 {'h': 26, 'v': 1, 'y': array([-2.30452675]), 'y_p': array([-2.30452675])},
 {'h': 27, 'v': 1, 'y': array([-2.30452675]), 'y_p': array([-2.30452675])},
 {'h': 27, 'v': 3, 'y': array([-2.30452675]), 'y_p': array([-2.30452675])},
 {'h': 27, 'v': 1, 'y': array([-2.30452675]), 'y_p': array([-2.30452675])},
 {'h': 28, 'v': 1, 'y': array([-2.30452675]), 'y_p': array([-2.30452675])},
 {'h': 28, 'v': 3, 'y': array([-2.30452675]), 'y_p': array([-2.30452675])},
 {'h': 28, 'v': 1, 'y': array([-2.30452675]), 'y_p': array([-2.30452675])},
 {'h': 29, 'v': 1, 'y': array([-2.30452675]), 'y_p': array([-2.30452675])},
 {'h': 29, 'v': 3, 'y': array([-2.30452675]), 'y_p': array([-2.30452675])},
 {'h': 29, 'v': 1, 'y': array([-2.30452675]), 'y_p': array([-2.30452675])},
 {'h': 30, 'v': 1, 'y': array([-2.30452675]), 'y_p': array([-2.30452675])},
 {'h': 30, 'v': 3, 'y': array([-2.30452675]), 'y_p': array([-2.30452675])},
 {'h': 30, 'v': 1, 'y': array([-2.30452675]), 'y_p': array([-2.30452675])},
 {'h': 31, 'v': 1, 'y': array([-2.30452675]), 'y_p': array([-2.30452675])},
 {'h': 31, 'v': 3, 'y': array([-2.30452675]), 'y_p': array([-2.30452675])},
 {'h': 31, 'v': 1, 'y': array([-2.30452675]), 'y_p': array([-2.30452675])},
 {'h': 32, 'v': 1, 'y': array([-2.30452675]), 'y_p': array([-2.30452675])},
 {'h': 32, 'v': 3, 'y': array([-2.30452675]), 'y_p': array([-2.30452675])},
 {'h': 32, 'v': 1, 'y': array([-2.30452675]), 'y_p': array([-2.30452675])},
 {'h': 3, 'v': 1, 'y': array([-2.11640212]), 'y_p': array([-1.9047619])},
 {'h': 3, 'v': 2, 'y': array([-1.9047619]), 'y_p': array([-1.9047619])},
 {'h': 3, 'v': 1, 'y': array([-1.69312169]), 'y_p': array([-1.9047619])},
 {'h': 3, 'v': 1, 'y': array([ 1.05820106]), 'y_p': array([ 1.26984127])},
 {'h': 3, 'v': 2, 'y': array([ 1.26984127]), 'y_p': array([ 1.26984127])},
 {'h': 3, 'v': 1, 'y': array([ 1.48148148]), 'y_p': array([ 1.26984127])},
 {'h': 4, 'v': 1, 'y': array([ 2.04585538]), 'y_p': array([ 2.11640212])},
 {'h': 4, 'v': 2, 'y': array([ 2.11640212]), 'y_p': array([ 2.11640212])},
 {'h': 4, 'v': 1, 'y': array([ 2.18694885]), 'y_p': array([ 2.11640212])},
 {'h': 4, 'v': 1, 'y': array([ 1.62257496]), 'y_p': array([ 1.69312169])},
 {'h': 4, 'v': 2, 'y': array([ 1.69312169]), 'y_p': array([ 1.69312169])},
 {'h': 4, 'v': 1, 'y': array([ 1.76366843]), 'y_p': array([ 1.69312169])},
 {'h': 4, 'v': 1, 'y': array([ 1.41093474]), 'y_p': array([ 1.48148148])},
 {'h': 4, 'v': 2, 'y': array([ 1.48148148]), 'y_p': array([ 1.48148148])},
 {'h': 4, 'v': 1, 'y': array([ 1.55202822]), 'y_p': array([ 1.48148148])},
 {'h': 4, 'v': 1, 'y': array([ 1.19929453]), 'y_p': array([ 1.26984127])},
 {'h': 4, 'v': 2, 'y': array([ 1.26984127]), 'y_p': array([ 1.26984127])},
 {'h': 4, 'v': 1, 'y': array([ 1.34038801]), 'y_p': array([ 1.26984127])},
 {'h': 5, 'v': 1, 'y': array([ 1.24632569]), 'y_p': array([ 1.26984127])},
 {'h': 5, 'v': 2, 'y': array([ 1.26984127]), 'y_p': array([ 1.26984127])},
 {'h': 5, 'v': 1, 'y': array([ 1.29335685]), 'y_p': array([ 1.26984127])},
 {'h': 6, 'v': 1, 'y': array([ 2.62590633]), 'y_p': array([ 2.63374486])},
 {'h': 6, 'v': 2, 'y': array([ 2.63374486]), 'y_p': array([ 2.63374486])},
 {'h': 6, 'v': 1, 'y': array([ 2.64158338]), 'y_p': array([ 2.63374486])},
 {'h': 6, 'v': 1, 'y': array([-2.54752107]), 'y_p': array([-2.53968254])},
 {'h': 6, 'v': 3, 'y': array([-2.53968254]), 'y_p': array([-2.53968254])},
 {'h': 6, 'v': 1, 'y': array([-2.53184401]), 'y_p': array([-2.53968254])},
 {'h': 7, 'v': 1, 'y': array([ 2.63113201]), 'y_p': array([ 2.63374486])},
 {'h': 7, 'v': 3, 'y': array([ 2.63374486]), 'y_p': array([ 2.63374486])},
 {'h': 7, 'v': 1, 'y': array([ 2.6363577]), 'y_p': array([ 2.63374486])},
 {'h': 8, 'v': 1, 'y': array([ 2.63287391]), 'y_p': array([ 2.63374486])},
 {'h': 8, 'v': 3, 'y': array([ 2.63374486]), 'y_p': array([ 2.63374486])},
 {'h': 8, 'v': 1, 'y': array([ 2.6346158]), 'y_p': array([ 2.63374486])},
 {'h': 9, 'v': 1, 'y': array([ 2.63345454]), 'y_p': array([ 2.63374486])},
 {'h': 9, 'v': 3, 'y': array([ 2.63374486]), 'y_p': array([ 2.63374486])},
 {'h': 9, 'v': 1, 'y': array([ 2.63403517]), 'y_p': array([ 2.63374486])},
 {'h': 10, 'v': 1, 'y': array([ 2.63364808]), 'y_p': array([ 2.63374486])},
 {'h': 10, 'v': 3, 'y': array([ 2.63374486]), 'y_p': array([ 2.63374486])},
 {'h': 10, 'v': 1, 'y': array([ 2.63384163]), 'y_p': array([ 2.63374486])},
 {'h': 11, 'v': 1, 'y': array([ 2.6337126]), 'y_p': array([ 2.63374486])},
 {'h': 11, 'v': 3, 'y': array([ 2.63374486]), 'y_p': array([ 2.63374486])},
 {'h': 11, 'v': 1, 'y': array([ 2.63377711]), 'y_p': array([ 2.63374486])},
 {'h': 12, 'v': 1, 'y': array([ 2.6337341]), 'y_p': array([ 2.63374486])},
 {'h': 12, 'v': 3, 'y': array([ 2.63374486]), 'y_p': array([ 2.63374486])},
 {'h': 12, 'v': 1, 'y': array([ 2.63375561]), 'y_p': array([ 2.63374486])},
 {'h': 13, 'v': 1, 'y': array([ 2.63374127]), 'y_p': array([ 2.63374486])},
 {'h': 13, 'v': 3, 'y': array([ 2.63374486]), 'y_p': array([ 2.63374486])},
 {'h': 13, 'v': 1, 'y': array([ 2.63374844]), 'y_p': array([ 2.63374486])},
 {'h': 14, 'v': 1, 'y': array([ 2.63374366]), 'y_p': array([ 2.63374486])},
 {'h': 14, 'v': 3, 'y': array([ 2.63374486]), 'y_p': array([ 2.63374486])},
 {'h': 14, 'v': 1, 'y': array([ 2.63374605]), 'y_p': array([ 2.63374486])},
 {'h': 15, 'v': 1, 'y': array([ 2.63374446]), 'y_p': array([ 2.63374486])},
 {'h': 15, 'v': 3, 'y': array([ 2.63374486]), 'y_p': array([ 2.63374486])},
 {'h': 15, 'v': 1, 'y': array([ 2.63374525]), 'y_p': array([ 2.63374486])},
 {'h': 16, 'v': 1, 'y': array([ 2.63374472]), 'y_p': array([ 2.63374486])},
 {'h': 16, 'v': 3, 'y': array([ 2.63374486]), 'y_p': array([ 2.63374486])},
 {'h': 16, 'v': 1, 'y': array([ 2.63374499]), 'y_p': array([ 2.63374486])},
 {'h': 17, 'v': 1, 'y': array([ 2.63374481]), 'y_p': array([ 2.63374486])},
 {'h': 17, 'v': 3, 'y': array([ 2.63374486]), 'y_p': array([ 2.63374486])},
 {'h': 17, 'v': 1, 'y': array([ 2.6337449]), 'y_p': array([ 2.63374486])},
 {'h': 18, 'v': 1, 'y': array([ 2.63374484]), 'y_p': array([ 2.63374486])},
 {'h': 18, 'v': 3, 'y': array([ 2.63374486]), 'y_p': array([ 2.63374486])},
 {'h': 18, 'v': 1, 'y': array([ 2.63374487]), 'y_p': array([ 2.63374486])},
 {'h': 19, 'v': 1, 'y': array([ 2.63374485]), 'y_p': array([ 2.63374486])},
 {'h': 19, 'v': 3, 'y': array([ 2.63374486]), 'y_p': array([ 2.63374486])},
 {'h': 19, 'v': 1, 'y': array([ 2.63374486]), 'y_p': array([ 2.63374486])},
 {'h': 20, 'v': 1, 'y': array([ 2.63374485]), 'y_p': array([ 2.63374486])},
 {'h': 20, 'v': 3, 'y': array([ 2.63374486]), 'y_p': array([ 2.63374486])},
 {'h': 20, 'v': 1, 'y': array([ 2.63374486]), 'y_p': array([ 2.63374486])},
 {'h': 21, 'v': 1, 'y': array([ 2.63374486]), 'y_p': array([ 2.63374486])},
 {'h': 21, 'v': 3, 'y': array([ 2.63374486]), 'y_p': array([ 2.63374486])},
 {'h': 21, 'v': 1, 'y': array([ 2.63374486]), 'y_p': array([ 2.63374486])},
 {'h': 22, 'v': 1, 'y': array([ 2.63374486]), 'y_p': array([ 2.63374486])},
 {'h': 22, 'v': 3, 'y': array([ 2.63374486]), 'y_p': array([ 2.63374486])},
 {'h': 22, 'v': 1, 'y': array([ 2.63374486]), 'y_p': array([ 2.63374486])},
 {'h': 23, 'v': 1, 'y': array([ 2.63374486]), 'y_p': array([ 2.63374486])},
 {'h': 23, 'v': 3, 'y': array([ 2.63374486]), 'y_p': array([ 2.63374486])},
 {'h': 23, 'v': 1, 'y': array([ 2.63374486]), 'y_p': array([ 2.63374486])},
 {'h': 24, 'v': 1, 'y': array([ 2.63374486]), 'y_p': array([ 2.63374486])},
 {'h': 24, 'v': 3, 'y': array([ 2.63374486]), 'y_p': array([ 2.63374486])},
 {'h': 24, 'v': 1, 'y': array([ 2.63374486]), 'y_p': array([ 2.63374486])},
 {'h': 25, 'v': 1, 'y': array([ 2.63374486]), 'y_p': array([ 2.63374486])},
 {'h': 25, 'v': 3, 'y': array([ 2.63374486]), 'y_p': array([ 2.63374486])},
 {'h': 25, 'v': 1, 'y': array([ 2.63374486]), 'y_p': array([ 2.63374486])},
 {'h': 26, 'v': 1, 'y': array([ 2.63374486]), 'y_p': array([ 2.63374486])},
 {'h': 26, 'v': 3, 'y': array([ 2.63374486]), 'y_p': array([ 2.63374486])},
 {'h': 26, 'v': 1, 'y': array([ 2.63374486]), 'y_p': array([ 2.63374486])},
 {'h': 27, 'v': 1, 'y': array([ 2.63374486]), 'y_p': array([ 2.63374486])},
 {'h': 27, 'v': 3, 'y': array([ 2.63374486]), 'y_p': array([ 2.63374486])},
 {'h': 27, 'v': 1, 'y': array([ 2.63374486]), 'y_p': array([ 2.63374486])},
 {'h': 28, 'v': 1, 'y': array([ 2.63374486]), 'y_p': array([ 2.63374486])},
 {'h': 28, 'v': 3, 'y': array([ 2.63374486]), 'y_p': array([ 2.63374486])},
 {'h': 28, 'v': 1, 'y': array([ 2.63374486]), 'y_p': array([ 2.63374486])},
 {'h': 29, 'v': 1, 'y': array([ 2.63374486]), 'y_p': array([ 2.63374486])},
 {'h': 29, 'v': 3, 'y': array([ 2.63374486]), 'y_p': array([ 2.63374486])},
 {'h': 29, 'v': 1, 'y': array([ 2.63374486]), 'y_p': array([ 2.63374486])},
 {'h': 30, 'v': 1, 'y': array([ 2.63374486]), 'y_p': array([ 2.63374486])},
 {'h': 30, 'v': 3, 'y': array([ 2.63374486]), 'y_p': array([ 2.63374486])},
 {'h': 30, 'v': 1, 'y': array([ 2.63374486]), 'y_p': array([ 2.63374486])},
 {'h': 31, 'v': 1, 'y': array([ 2.63374486]), 'y_p': array([ 2.63374486])},
 {'h': 31, 'v': 3, 'y': array([ 2.63374486]), 'y_p': array([ 2.63374486])},
 {'h': 31, 'v': 1, 'y': array([ 2.63374486]), 'y_p': array([ 2.63374486])},
 {'h': 32, 'v': 1, 'y': array([ 2.63374486]), 'y_p': array([ 2.63374486])},
 {'h': 32, 'v': 3, 'y': array([ 2.63374486]), 'y_p': array([ 2.63374486])},
 {'h': 32, 'v': 1, 'y': array([ 2.63374486]), 'y_p': array([ 2.63374486])},
 {'h': 3, 'v': 1, 'y': array([-1.48148148]), 'y_p': array([-1.26984127])},
 {'h': 3, 'v': 2, 'y': array([-1.26984127]), 'y_p': array([-1.26984127])},
 {'h': 3, 'v': 1, 'y': array([-1.05820106]), 'y_p': array([-1.26984127])},
 {'h': 3, 'v': 1, 'y': array([ 0.42328042]), 'y_p': array([ 0.63492063])},
 {'h': 3, 'v': 1, 'y': array([ 0.63492063]), 'y_p': array([ 0.63492063])},
 {'h': 3, 'v': 1, 'y': array([ 0.84656085]), 'y_p': array([ 0.63492063])},
 {'h': 3, 'v': 1, 'y': array([-0.21164021]), 'y_p': array([ 0.])},
 {'h': 3, 'v': 1, 'y': array([ 0.]), 'y_p': array([ 0.])},
 {'h': 3, 'v': 1, 'y': array([ 0.21164021]), 'y_p': array([ 0.])},
 {'h': 4, 'v': 1, 'y': array([-1.76366843]), 'y_p': array([-1.69312169])},
 {'h': 4, 'v': 2, 'y': array([-1.69312169]), 'y_p': array([-1.69312169])},
 {'h': 4, 'v': 1, 'y': array([-1.62257496]), 'y_p': array([-1.69312169])},
 {'h': 4, 'v': 1, 'y': array([-1.55202822]), 'y_p': array([-1.48148148])},
 {'h': 4, 'v': 2, 'y': array([-1.48148148]), 'y_p': array([-1.48148148])},
 {'h': 4, 'v': 1, 'y': array([-1.41093474]), 'y_p': array([-1.48148148])},
 {'h': 5, 'v': 1, 'y': array([-1.64609053]), 'y_p': array([-1.62257496])},
 {'h': 5, 'v': 2, 'y': array([-1.62257496]), 'y_p': array([-1.62257496])},
 {'h': 5, 'v': 1, 'y': array([-1.59905938]), 'y_p': array([-1.62257496])},
 {'h': 6, 'v': 1, 'y': array([-2.47697433]), 'y_p': array([-2.4691358])},
 {'h': 6, 'v': 3, 'y': array([-2.4691358]), 'y_p': array([-2.4691358])},
 {'h': 6, 'v': 1, 'y': array([-2.46129728]), 'y_p': array([-2.4691358])},
 {'h': 6, 'v': 1, 'y': array([-2.33588085]), 'y_p': array([-2.32804233])},
 {'h': 6, 'v': 3, 'y': array([-2.32804233]), 'y_p': array([-2.32804233])},
 {'h': 6, 'v': 1, 'y': array([-2.3202038]), 'y_p': array([-2.32804233])},
 {'h': 7, 'v': 1, 'y': array([ 2.58410086]), 'y_p': array([ 2.5867137])},
 {'h': 7, 'v': 3, 'y': array([ 2.5867137]), 'y_p': array([ 2.5867137])},
 {'h': 7, 'v': 1, 'y': array([ 2.58932654]), 'y_p': array([ 2.5867137])},
 {'h': 7, 'v': 1, 'y': array([-2.37768633]), 'y_p': array([-2.37507349])},
 {'h': 7, 'v': 3, 'y': array([-2.37507349]), 'y_p': array([-2.37507349])},
 {'h': 7, 'v': 1, 'y': array([-2.37246064]), 'y_p': array([-2.37507349])},
 {'h': 8, 'v': 1, 'y': array([-2.37594443]), 'y_p': array([-2.37507349])},
 {'h': 8, 'v': 3, 'y': array([-2.37507349]), 'y_p': array([-2.37507349])},
 {'h': 8, 'v': 1, 'y': array([-2.37420254]), 'y_p': array([-2.37507349])},
 {'h': 9, 'v': 1, 'y': array([-2.3753638]), 'y_p': array([-2.37507349])},
 {'h': 9, 'v': 3, 'y': array([-2.37507349]), 'y_p': array([-2.37507349])},
 {'h': 9, 'v': 1, 'y': array([-2.37478317]), 'y_p': array([-2.37507349])},
 {'h': 10, 'v': 1, 'y': array([-2.37517026]), 'y_p': array([-2.37507349])},
 {'h': 10, 'v': 3, 'y': array([-2.37507349]), 'y_p': array([-2.37507349])},
 {'h': 10, 'v': 1, 'y': array([-2.37497671]), 'y_p': array([-2.37507349])},
 {'h': 11, 'v': 1, 'y': array([-2.37510574]), 'y_p': array([-2.37507349])},
 {'h': 11, 'v': 3, 'y': array([-2.37507349]), 'y_p': array([-2.37507349])},
 {'h': 11, 'v': 1, 'y': array([-2.37504123]), 'y_p': array([-2.37507349])},
 {'h': 12, 'v': 1, 'y': array([-2.37508424]), 'y_p': array([-2.37507349])},
 {'h': 12, 'v': 3, 'y': array([-2.37507349]), 'y_p': array([-2.37507349])},
 {'h': 12, 'v': 1, 'y': array([-2.37506273]), 'y_p': array([-2.37507349])},
 {'h': 13, 'v': 1, 'y': array([-2.37507707]), 'y_p': array([-2.37507349])},
 {'h': 13, 'v': 3, 'y': array([-2.37507349]), 'y_p': array([-2.37507349])},
 {'h': 13, 'v': 1, 'y': array([-2.3750699]), 'y_p': array([-2.37507349])},
 {'h': 14, 'v': 1, 'y': array([-2.37507468]), 'y_p': array([-2.37507349])},
 {'h': 14, 'v': 3, 'y': array([-2.37507349]), 'y_p': array([-2.37507349])},
 {'h': 14, 'v': 1, 'y': array([-2.37507229]), 'y_p': array([-2.37507349])},
 {'h': 15, 'v': 1, 'y': array([-2.37507388]), 'y_p': array([-2.37507349])},
 {'h': 15, 'v': 3, 'y': array([-2.37507349]), 'y_p': array([-2.37507349])},
 {'h': 15, 'v': 1, 'y': array([-2.37507309]), 'y_p': array([-2.37507349])},
 {'h': 16, 'v': 1, 'y': array([-2.37507362]), 'y_p': array([-2.37507349])},
 {'h': 16, 'v': 3, 'y': array([-2.37507349]), 'y_p': array([-2.37507349])},
 {'h': 16, 'v': 1, 'y': array([-2.37507335]), 'y_p': array([-2.37507349])},
 {'h': 17, 'v': 1, 'y': array([-2.37507353]), 'y_p': array([-2.37507349])},
 {'h': 17, 'v': 3, 'y': array([-2.37507349]), 'y_p': array([-2.37507349])},
 {'h': 17, 'v': 1, 'y': array([-2.37507344]), 'y_p': array([-2.37507349])},
 {'h': 17, 'v': 1, 'y': array([-2.3750734]), 'y_p': array([-2.37507335])},
 {'h': 17, 'v': 2, 'y': array([-2.37507335]), 'y_p': array([-2.37507335])},
 {'h': 17, 'v': 1, 'y': array([-2.37507331]), 'y_p': array([-2.37507335])},
 {'h': 18, 'v': 1, 'y': array([-2.37507337]), 'y_p': array([-2.37507335])},
 {'h': 18, 'v': 3, 'y': array([-2.37507335]), 'y_p': array([-2.37507335])},
 {'h': 18, 'v': 1, 'y': array([-2.37507334]), 'y_p': array([-2.37507335])},
 {'h': 19, 'v': 1, 'y': array([-2.37507336]), 'y_p': array([-2.37507335])},
 {'h': 19, 'v': 3, 'y': array([-2.37507335]), 'y_p': array([-2.37507335])},
 {'h': 19, 'v': 1, 'y': array([-2.37507335]), 'y_p': array([-2.37507335])},
 {'h': 20, 'v': 1, 'y': array([-2.37507336]), 'y_p': array([-2.37507335])},
 {'h': 20, 'v': 3, 'y': array([-2.37507335]), 'y_p': array([-2.37507335])},
 {'h': 20, 'v': 1, 'y': array([-2.37507335]), 'y_p': array([-2.37507335])},
 {'h': 21, 'v': 1, 'y': array([-2.37507335]), 'y_p': array([-2.37507335])},
 {'h': 21, 'v': 3, 'y': array([-2.37507335]), 'y_p': array([-2.37507335])},
 {'h': 21, 'v': 1, 'y': array([-2.37507335]), 'y_p': array([-2.37507335])},
 {'h': 22, 'v': 1, 'y': array([-2.37507335]), 'y_p': array([-2.37507335])},
 {'h': 22, 'v': 3, 'y': array([-2.37507335]), 'y_p': array([-2.37507335])},
 {'h': 22, 'v': 1, 'y': array([-2.37507335]), 'y_p': array([-2.37507335])},
 {'h': 23, 'v': 1, 'y': array([-2.37507335]), 'y_p': array([-2.37507335])},
 {'h': 23, 'v': 3, 'y': array([-2.37507335]), 'y_p': array([-2.37507335])},
 {'h': 23, 'v': 1, 'y': array([-2.37507335]), 'y_p': array([-2.37507335])},
 {'h': 24, 'v': 1, 'y': array([-2.37507335]), 'y_p': array([-2.37507335])},
 {'h': 24, 'v': 3, 'y': array([-2.37507335]), 'y_p': array([-2.37507335])},
 {'h': 24, 'v': 1, 'y': array([-2.37507335]), 'y_p': array([-2.37507335])},
 {'h': 25, 'v': 1, 'y': array([-2.37507335]), 'y_p': array([-2.37507335])},
 {'h': 25, 'v': 3, 'y': array([-2.37507335]), 'y_p': array([-2.37507335])},
 {'h': 25, 'v': 1, 'y': array([-2.37507335]), 'y_p': array([-2.37507335])},
 {'h': 26, 'v': 1, 'y': array([-2.37507335]), 'y_p': array([-2.37507335])},
 {'h': 26, 'v': 3, 'y': array([-2.37507335]), 'y_p': array([-2.37507335])},
 {'h': 26, 'v': 1, 'y': array([-2.37507335]), 'y_p': array([-2.37507335])},
 {'h': 27, 'v': 1, 'y': array([-2.37507335]), 'y_p': array([-2.37507335])},
 {'h': 27, 'v': 3, 'y': array([-2.37507335]), 'y_p': array([-2.37507335])},
 {'h': 27, 'v': 1, 'y': array([-2.37507335]), 'y_p': array([-2.37507335])},
 {'h': 28, 'v': 1, 'y': array([-2.37507335]), 'y_p': array([-2.37507335])},
 {'h': 28, 'v': 3, 'y': array([-2.37507335]), 'y_p': array([-2.37507335])},
 {'h': 28, 'v': 1, 'y': array([-2.37507335]), 'y_p': array([-2.37507335])},
 {'h': 29, 'v': 1, 'y': array([-2.37507335]), 'y_p': array([-2.37507335])},
 {'h': 29, 'v': 3, 'y': array([-2.37507335]), 'y_p': array([-2.37507335])},
 {'h': 29, 'v': 1, 'y': array([-2.37507335]), 'y_p': array([-2.37507335])},
 {'h': 29, 'v': 1, 'y': array([-2.37507335]), 'y_p': array([-2.37507335])},
 {'h': 29, 'v': 2, 'y': array([-2.37507335]), 'y_p': array([-2.37507335])},
 {'h': 29, 'v': 1, 'y': array([-2.37507335]), 'y_p': array([-2.37507335])},
 {'h': 30, 'v': 1, 'y': array([-2.37507335]), 'y_p': array([-2.37507335])},
 {'h': 30, 'v': 3, 'y': array([-2.37507335]), 'y_p': array([-2.37507335])},
 {'h': 30, 'v': 1, 'y': array([-2.37507335]), 'y_p': array([-2.37507335])},
 {'h': 31, 'v': 1, 'y': array([-2.37507335]), 'y_p': array([-2.37507335])},
 {'h': 31, 'v': 3, 'y': array([-2.37507335]), 'y_p': array([-2.37507335])},
 {'h': 31, 'v': 1, 'y': array([-2.37507335]), 'y_p': array([-2.37507335])},
 {'h': 32, 'v': 1, 'y': array([-2.37507335]), 'y_p': array([-2.37507335])},
 {'h': 32, 'v': 3, 'y': array([-2.37507335]), 'y_p': array([-2.37507335])},
 {'h': 32, 'v': 1, 'y': array([-2.37507335]), 'y_p': array([-2.37507335])},
 {'h': 3, 'v': 1, 'y': array([-0.84656085]), 'y_p': array([-0.63492063])},
 {'h': 3, 'v': 1, 'y': array([-0.63492063]), 'y_p': array([-0.63492063])},
 {'h': 3, 'v': 1, 'y': array([-0.42328042]), 'y_p': array([-0.63492063])},
 {'h': 4, 'v': 1, 'y': array([-2.18694885]), 'y_p': array([-2.11640212])},
 {'h': 4, 'v': 2, 'y': array([-2.11640212]), 'y_p': array([-2.11640212])},
 {'h': 4, 'v': 1, 'y': array([-2.04585538]), 'y_p': array([-2.11640212])},
 {'h': 4, 'v': 1, 'y': array([-1.34038801]), 'y_p': array([-1.26984127])},
 {'h': 4, 'v': 2, 'y': array([-1.26984127]), 'y_p': array([-1.26984127])},
 {'h': 4, 'v': 1, 'y': array([-1.19929453]), 'y_p': array([-1.26984127])},
 {'h': 4, 'v': 1, 'y': array([-1.1287478]), 'y_p': array([-1.05820106])},
 {'h': 4, 'v': 1, 'y': array([-1.05820106]), 'y_p': array([-1.05820106])},
 {'h': 4, 'v': 1, 'y': array([-0.98765432]), 'y_p': array([-1.05820106])},
 {'h': 4, 'v': 1, 'y': array([-0.91710758]), 'y_p': array([-0.84656085])},
 {'h': 4, 'v': 1, 'y': array([-0.84656085]), 'y_p': array([-0.84656085])},
 {'h': 4, 'v': 1, 'y': array([-0.77601411]), 'y_p': array([-0.84656085])},
 {'h': 5, 'v': 1, 'y': array([-2.21046443]), 'y_p': array([-2.18694885])},
 {'h': 5, 'v': 2, 'y': array([-2.18694885]), 'y_p': array([-2.18694885])},
 {'h': 5, 'v': 1, 'y': array([-2.16343327]), 'y_p': array([-2.18694885])},
 {'h': 6, 'v': 1, 'y': array([-2.19478738]), 'y_p': array([-2.18694885])},
 {'h': 6, 'v': 2, 'y': array([-2.18694885]), 'y_p': array([-2.18694885])},
 {'h': 6, 'v': 1, 'y': array([-2.17911033]), 'y_p': array([-2.18694885])},
 {'h': 7, 'v': 1, 'y': array([-2.3698478]), 'y_p': array([-2.36723496])},
 {'h': 7, 'v': 2, 'y': array([-2.36723496]), 'y_p': array([-2.36723496])},
 {'h': 7, 'v': 1, 'y': array([-2.36462212]), 'y_p': array([-2.36723496])},
 {'h': 8, 'v': 1, 'y': array([-2.36810591]), 'y_p': array([-2.36723496])},
 {'h': 8, 'v': 3, 'y': array([-2.36723496]), 'y_p': array([-2.36723496])},
 {'h': 8, 'v': 1, 'y': array([-2.36636401]), 'y_p': array([-2.36723496])},
 {'h': 9, 'v': 1, 'y': array([-2.36752528]), 'y_p': array([-2.36723496])},
 {'h': 9, 'v': 3, 'y': array([-2.36723496]), 'y_p': array([-2.36723496])},
 {'h': 9, 'v': 1, 'y': array([-2.36694464]), 'y_p': array([-2.36723496])},
 {'h': 10, 'v': 1, 'y': array([-2.36733173]), 'y_p': array([-2.36723496])},
 {'h': 10, 'v': 3, 'y': array([-2.36723496]), 'y_p': array([-2.36723496])},
 {'h': 10, 'v': 1, 'y': array([-2.36713819]), 'y_p': array([-2.36723496])},
 {'h': 11, 'v': 1, 'y': array([-2.36726722]), 'y_p': array([-2.36723496])},
 {'h': 11, 'v': 3, 'y': array([-2.36723496]), 'y_p': array([-2.36723496])},
 {'h': 11, 'v': 1, 'y': array([-2.3672027]), 'y_p': array([-2.36723496])},
 {'h': 12, 'v': 1, 'y': array([-2.36724571]), 'y_p': array([-2.36723496])},
 {'h': 12, 'v': 3, 'y': array([-2.36723496]), 'y_p': array([-2.36723496])},
 {'h': 12, 'v': 1, 'y': array([-2.36722421]), 'y_p': array([-2.36723496])},
 {'h': 13, 'v': 1, 'y': array([-2.36723854]), 'y_p': array([-2.36723496])},
 {'h': 13, 'v': 3, 'y': array([-2.36723496]), 'y_p': array([-2.36723496])},
 {'h': 13, 'v': 1, 'y': array([-2.36723138]), 'y_p': array([-2.36723496])},
 {'h': 14, 'v': 1, 'y': array([-2.36723974]), 'y_p': array([-2.36723854])},
 {'h': 14, 'v': 2, 'y': array([-2.36723854]), 'y_p': array([-2.36723854])},
 {'h': 14, 'v': 1, 'y': array([-2.36723735]), 'y_p': array([-2.36723854])},
 {'h': 15, 'v': 1, 'y': array([-2.36723894]), 'y_p': array([-2.36723854])},
 {'h': 15, 'v': 3, 'y': array([-2.36723854]), 'y_p': array([-2.36723854])},
 {'h': 15, 'v': 1, 'y': array([-2.36723815]), 'y_p': array([-2.36723854])},
 {'h': 16, 'v': 1, 'y': array([-2.36723868]), 'y_p': array([-2.36723854])},
 {'h': 16, 'v': 3, 'y': array([-2.36723854]), 'y_p': array([-2.36723854])},
 {'h': 16, 'v': 1, 'y': array([-2.36723841]), 'y_p': array([-2.36723854])},
 {'h': 17, 'v': 1, 'y': array([-2.36723859]), 'y_p': array([-2.36723854])},
 {'h': 17, 'v': 3, 'y': array([-2.36723854]), 'y_p': array([-2.36723854])},
 {'h': 17, 'v': 1, 'y': array([-2.3672385]), 'y_p': array([-2.36723854])},
 {'h': 18, 'v': 1, 'y': array([-2.36723856]), 'y_p': array([-2.36723854])},
 {'h': 18, 'v': 3, 'y': array([-2.36723854]), 'y_p': array([-2.36723854])},
 {'h': 18, 'v': 1, 'y': array([-2.36723853]), 'y_p': array([-2.36723854])},
 {'h': 18, 'v': 1, 'y': array([-2.36723851]), 'y_p': array([-2.3672385])},
 {'h': 18, 'v': 2, 'y': array([-2.3672385]), 'y_p': array([-2.3672385])},
 {'h': 18, 'v': 1, 'y': array([-2.36723848]), 'y_p': array([-2.3672385])},
 {'h': 19, 'v': 1, 'y': array([-2.3672385]), 'y_p': array([-2.3672385])},
 {'h': 19, 'v': 3, 'y': array([-2.3672385]), 'y_p': array([-2.3672385])},
 {'h': 19, 'v': 1, 'y': array([-2.36723849]), 'y_p': array([-2.3672385])},
 {'h': 20, 'v': 1, 'y': array([-2.3672385]), 'y_p': array([-2.3672385])},
 {'h': 20, 'v': 3, 'y': array([-2.3672385]), 'y_p': array([-2.3672385])},
 {'h': 20, 'v': 1, 'y': array([-2.3672385]), 'y_p': array([-2.3672385])},
 {'h': 21, 'v': 1, 'y': array([-2.3672385]), 'y_p': array([-2.3672385])},
 {'h': 21, 'v': 2, 'y': array([-2.3672385]), 'y_p': array([-2.3672385])},
 {'h': 21, 'v': 1, 'y': array([-2.3672385]), 'y_p': array([-2.3672385])},
 {'h': 22, 'v': 1, 'y': array([-2.3672385]), 'y_p': array([-2.3672385])},
 {'h': 22, 'v': 3, 'y': array([-2.3672385]), 'y_p': array([-2.3672385])},
 {'h': 22, 'v': 1, 'y': array([-2.3672385]), 'y_p': array([-2.3672385])},
 {'h': 23, 'v': 1, 'y': array([-2.3672385]), 'y_p': array([-2.3672385])},
 {'h': 23, 'v': 3, 'y': array([-2.3672385]), 'y_p': array([-2.3672385])},
 {'h': 23, 'v': 1, 'y': array([-2.3672385]), 'y_p': array([-2.3672385])},
 {'h': 24, 'v': 1, 'y': array([-2.3672385]), 'y_p': array([-2.3672385])},
 {'h': 24, 'v': 3, 'y': array([-2.3672385]), 'y_p': array([-2.3672385])},
 {'h': 24, 'v': 1, 'y': array([-2.3672385]), 'y_p': array([-2.3672385])},
 {'h': 25, 'v': 1, 'y': array([-2.3672385]), 'y_p': array([-2.3672385])},
 {'h': 25, 'v': 3, 'y': array([-2.3672385]), 'y_p': array([-2.3672385])},
 {'h': 25, 'v': 1, 'y': array([-2.3672385]), 'y_p': array([-2.3672385])},
 {'h': 26, 'v': 1, 'y': array([-2.3672385]), 'y_p': array([-2.3672385])},
 {'h': 26, 'v': 3, 'y': array([-2.3672385]), 'y_p': array([-2.3672385])},
 {'h': 26, 'v': 1, 'y': array([-2.3672385]), 'y_p': array([-2.3672385])},
 {'h': 27, 'v': 1, 'y': array([-2.3672385]), 'y_p': array([-2.3672385])},
 {'h': 27, 'v': 3, 'y': array([-2.3672385]), 'y_p': array([-2.3672385])},
 {'h': 27, 'v': 1, 'y': array([-2.3672385]), 'y_p': array([-2.3672385])},
 {'h': 28, 'v': 1, 'y': array([-2.3672385]), 'y_p': array([-2.3672385])},
 {'h': 28, 'v': 3, 'y': array([-2.3672385]), 'y_p': array([-2.3672385])},
 {'h': 28, 'v': 1, 'y': array([-2.3672385]), 'y_p': array([-2.3672385])},
 {'h': 29, 'v': 1, 'y': array([-2.3672385]), 'y_p': array([-2.3672385])},
 {'h': 29, 'v': 3, 'y': array([-2.3672385]), 'y_p': array([-2.3672385])},
 {'h': 29, 'v': 1, 'y': array([-2.3672385]), 'y_p': array([-2.3672385])},
 {'h': 30, 'v': 1, 'y': array([-2.3672385]), 'y_p': array([-2.3672385])},
 {'h': 30, 'v': 3, 'y': array([-2.3672385]), 'y_p': array([-2.3672385])},
 {'h': 30, 'v': 1, 'y': array([-2.3672385]), 'y_p': array([-2.3672385])},
 {'h': 31, 'v': 1, 'y': array([-2.3672385]), 'y_p': array([-2.3672385])},
 {'h': 31, 'v': 3, 'y': array([-2.3672385]), 'y_p': array([-2.3672385])},
 {'h': 31, 'v': 1, 'y': array([-2.3672385]), 'y_p': array([-2.3672385])},
 {'h': 32, 'v': 1, 'y': array([-2.3672385]), 'y_p': array([-2.3672385])},
 {'h': 32, 'v': 3, 'y': array([-2.3672385]), 'y_p': array([-2.3672385])},
 {'h': 32, 'v': 1, 'y': array([-2.3672385]), 'y_p': array([-2.3672385])},
 {'h': 4, 'v': 1, 'y': array([-2.82186949]), 'y_p': array([-2.75132275])},
 {'h': 4, 'v': 2, 'y': array([-2.75132275]), 'y_p': array([-2.75132275])},
 {'h': 4, 'v': 1, 'y': array([-2.68077601]), 'y_p': array([-2.75132275])},
 {'h': 4, 'v': 1, 'y': array([-1.97530864]), 'y_p': array([-1.9047619])},
 {'h': 4, 'v': 2, 'y': array([-1.9047619]), 'y_p': array([-1.9047619])},
 {'h': 4, 'v': 1, 'y': array([-1.83421517]), 'y_p': array([-1.9047619])},
 {'h': 4, 'v': 1, 'y': array([ 0.98765432]), 'y_p': array([ 1.05820106])},
 {'h': 4, 'v': 1, 'y': array([ 1.05820106]), 'y_p': array([ 1.05820106])},
 {'h': 4, 'v': 1, 'y': array([ 1.1287478]), 'y_p': array([ 1.05820106])},
 {'h': 4, 'v': 1, 'y': array([-0.28218695]), 'y_p': array([-0.21164021])},
 {'h': 4, 'v': 1, 'y': array([-0.21164021]), 'y_p': array([-0.21164021])},
 {'h': 4, 'v': 1, 'y': array([-0.14109347]), 'y_p': array([-0.21164021])},
 {'h': 5, 'v': 1, 'y': array([-2.70429159]), 'y_p': array([-2.68077601])},
 {'h': 5, 'v': 2, 'y': array([-2.68077601]), 'y_p': array([-2.68077601])},
 {'h': 5, 'v': 1, 'y': array([-2.65726044]), 'y_p': array([-2.68077601])},
 {'h': 5, 'v': 1, 'y': array([-1.50499706]), 'y_p': array([-1.48148148])},
 {'h': 5, 'v': 2, 'y': array([-1.48148148]), 'y_p': array([-1.48148148])},
 {'h': 5, 'v': 1, 'y': array([-1.4579659]), 'y_p': array([-1.48148148])},
 {'h': 5, 'v': 1, 'y': array([ 1.4579659]), 'y_p': array([ 1.48148148])},
 {'h': 5, 'v': 2, 'y': array([ 1.48148148]), 'y_p': array([ 1.48148148])},
 {'h': 5, 'v': 1, 'y': array([ 1.50499706]), 'y_p': array([ 1.48148148])},
 {'h': 6, 'v': 1, 'y': array([-2.66509896]), 'y_p': array([-2.65726044])},
 {'h': 6, 'v': 2, 'y': array([-2.65726044]), 'y_p': array([-2.65726044])},
 {'h': 6, 'v': 1, 'y': array([-2.64942191]), 'y_p': array([-2.65726044])},
 {'h': 7, 'v': 1, 'y': array([-2.65987328]), 'y_p': array([-2.65726044])},
 {'h': 7, 'v': 3, 'y': array([-2.65726044]), 'y_p': array([-2.65726044])},
 {'h': 7, 'v': 1, 'y': array([-2.65464759]), 'y_p': array([-2.65726044])},
 {'h': 7, 'v': 1, 'y': array([-2.65203475]), 'y_p': array([-2.64942191])},
 {'h': 7, 'v': 2, 'y': array([-2.64942191]), 'y_p': array([-2.64942191])},
 {'h': 7, 'v': 1, 'y': array([-2.64680907]), 'y_p': array([-2.64942191])},
 {'h': 8, 'v': 1, 'y': array([-2.65813138]), 'y_p': array([-2.65726044])},
 {'h': 8, 'v': 3, 'y': array([-2.65726044]), 'y_p': array([-2.65726044])},
 {'h': 8, 'v': 1, 'y': array([-2.65638949]), 'y_p': array([-2.65726044])},
 {'h': 9, 'v': 1, 'y': array([-2.65755075]), 'y_p': array([-2.65726044])},
 {'h': 9, 'v': 3, 'y': array([-2.65726044]), 'y_p': array([-2.65726044])},
 {'h': 9, 'v': 1, 'y': array([-2.65697012]), 'y_p': array([-2.65726044])},
 {'h': 10, 'v': 1, 'y': array([-2.65735721]), 'y_p': array([-2.65726044])},
 {'h': 10, 'v': 3, 'y': array([-2.65726044]), 'y_p': array([-2.65726044])},
 {'h': 10, 'v': 1, 'y': array([-2.65716366]), 'y_p': array([-2.65726044])},
 {'h': 11, 'v': 1, 'y': array([-2.65729269]), 'y_p': array([-2.65726044])},
 {'h': 11, 'v': 3, 'y': array([-2.65726044]), 'y_p': array([-2.65726044])},
 {'h': 11, 'v': 1, 'y': array([-2.65722818]), 'y_p': array([-2.65726044])},
 {'h': 12, 'v': 1, 'y': array([-2.65727119]), 'y_p': array([-2.65726044])},
 {'h': 12, 'v': 3, 'y': array([-2.65726044]), 'y_p': array([-2.65726044])},
 {'h': 12, 'v': 1, 'y': array([-2.65724968]), 'y_p': array([-2.65726044])},
 {'h': 13, 'v': 1, 'y': array([-2.65727477]), 'y_p': array([-2.65727119])},
 {'h': 13, 'v': 2, 'y': array([-2.65727119]), 'y_p': array([-2.65727119])},
 {'h': 13, 'v': 1, 'y': array([-2.6572676]), 'y_p': array([-2.65727119])},
 {'h': 14, 'v': 1, 'y': array([-2.65727238]), 'y_p': array([-2.65727119])},
 {'h': 14, 'v': 3, 'y': array([-2.65727119]), 'y_p': array([-2.65727119])},
 {'h': 14, 'v': 1, 'y': array([-2.65726999]), 'y_p': array([-2.65727119])},
 {'h': 15, 'v': 1, 'y': array([-2.65727159]), 'y_p': array([-2.65727119])},
 {'h': 15, 'v': 3, 'y': array([-2.65727119]), 'y_p': array([-2.65727119])},
 {'h': 15, 'v': 1, 'y': array([-2.65727079]), 'y_p': array([-2.65727119])},
 {'h': 16, 'v': 1, 'y': array([-2.65727132]), 'y_p': array([-2.65727119])},
 {'h': 16, 'v': 3, 'y': array([-2.65727119]), 'y_p': array([-2.65727119])},
 {'h': 16, 'v': 1, 'y': array([-2.65727105]), 'y_p': array([-2.65727119])},
 {'h': 17, 'v': 1, 'y': array([-2.65727136]), 'y_p': array([-2.65727132])},
 {'h': 17, 'v': 2, 'y': array([-2.65727132]), 'y_p': array([-2.65727132])},
 {'h': 17, 'v': 1, 'y': array([-2.65727128]), 'y_p': array([-2.65727132])},
 {'h': 18, 'v': 1, 'y': array([-2.65727133]), 'y_p': array([-2.65727132])},
 {'h': 18, 'v': 3, 'y': array([-2.65727132]), 'y_p': array([-2.65727132])},
 {'h': 18, 'v': 1, 'y': array([-2.65727131]), 'y_p': array([-2.65727132])},
 {'h': 19, 'v': 1, 'y': array([-2.65727133]), 'y_p': array([-2.65727132])},
 {'h': 19, 'v': 3, 'y': array([-2.65727132]), 'y_p': array([-2.65727132])},
 {'h': 19, 'v': 1, 'y': array([-2.65727132]), 'y_p': array([-2.65727132])},
 {'h': 19, 'v': 1, 'y': array([-2.36723855]), 'y_p': array([-2.36723854])},
 {'h': 19, 'v': 3, 'y': array([-2.36723854]), 'y_p': array([-2.36723854])},
 {'h': 19, 'v': 1, 'y': array([-2.36723854]), 'y_p': array([-2.36723854])},
 {'h': 20, 'v': 1, 'y': array([-2.36723855]), 'y_p': array([-2.36723854])},
 {'h': 20, 'v': 3, 'y': array([-2.36723854]), 'y_p': array([-2.36723854])},
 {'h': 20, 'v': 1, 'y': array([-2.36723854]), 'y_p': array([-2.36723854])},
 {'h': 21, 'v': 1, 'y': array([-2.36723854]), 'y_p': array([-2.36723854])},
 {'h': 21, 'v': 3, 'y': array([-2.36723854]), 'y_p': array([-2.36723854])},
 {'h': 21, 'v': 1, 'y': array([-2.36723854]), 'y_p': array([-2.36723854])},
 {'h': 21, 'v': 1, 'y': array([-2.3672385]), 'y_p': array([-2.3672385])},
 {'h': 21, 'v': 3, 'y': array([-2.3672385]), 'y_p': array([-2.3672385])},
 {'h': 21, 'v': 1, 'y': array([-2.3672385]), 'y_p': array([-2.3672385])},
 {'h': 22, 'v': 1, 'y': array([-2.3672385]), 'y_p': array([-2.3672385])},
 {'h': 22, 'v': 3, 'y': array([-2.3672385]), 'y_p': array([-2.3672385])},
 {'h': 22, 'v': 1, 'y': array([-2.3672385]), 'y_p': array([-2.3672385])},
 {'h': 23, 'v': 1, 'y': array([-2.3672385]), 'y_p': array([-2.3672385])},
 {'h': 23, 'v': 3, 'y': array([-2.3672385]), 'y_p': array([-2.3672385])},
 {'h': 23, 'v': 1, 'y': array([-2.3672385]), 'y_p': array([-2.3672385])},
 {'h': 24, 'v': 1, 'y': array([-2.3672385]), 'y_p': array([-2.3672385])},
 {'h': 24, 'v': 3, 'y': array([-2.3672385]), 'y_p': array([-2.3672385])},
 {'h': 24, 'v': 1, 'y': array([-2.3672385]), 'y_p': array([-2.3672385])},
 {'h': 25, 'v': 1, 'y': array([-2.3672385]), 'y_p': array([-2.3672385])},
 {'h': 25, 'v': 3, 'y': array([-2.3672385]), 'y_p': array([-2.3672385])},
 {'h': 25, 'v': 1, 'y': array([-2.3672385]), 'y_p': array([-2.3672385])},
 {'h': 26, 'v': 1, 'y': array([-2.3672385]), 'y_p': array([-2.3672385])},
 {'h': 26, 'v': 3, 'y': array([-2.3672385]), 'y_p': array([-2.3672385])},
 {'h': 26, 'v': 1, 'y': array([-2.3672385]), 'y_p': array([-2.3672385])},
 {'h': 27, 'v': 1, 'y': array([-2.3672385]), 'y_p': array([-2.3672385])},
 {'h': 27, 'v': 3, 'y': array([-2.3672385]), 'y_p': array([-2.3672385])},
 {'h': 27, 'v': 1, 'y': array([-2.3672385]), 'y_p': array([-2.3672385])},
 {'h': 28, 'v': 1, 'y': array([-2.3672385]), 'y_p': array([-2.3672385])},
 {'h': 28, 'v': 3, 'y': array([-2.3672385]), 'y_p': array([-2.3672385])},
 {'h': 28, 'v': 1, 'y': array([-2.3672385]), 'y_p': array([-2.3672385])},
 {'h': 29, 'v': 1, 'y': array([-2.3672385]), 'y_p': array([-2.3672385])},
 {'h': 29, 'v': 3, 'y': array([-2.3672385]), 'y_p': array([-2.3672385])},
 {'h': 29, 'v': 1, 'y': array([-2.3672385]), 'y_p': array([-2.3672385])},
 {'h': 30, 'v': 1, 'y': array([-2.3672385]), 'y_p': array([-2.3672385])},
 {'h': 30, 'v': 3, 'y': array([-2.3672385]), 'y_p': array([-2.3672385])},
 {'h': 30, 'v': 1, 'y': array([-2.3672385]), 'y_p': array([-2.3672385])},
 {'h': 31, 'v': 1, 'y': array([-2.3672385]), 'y_p': array([-2.3672385])},
 {'h': 31, 'v': 3, 'y': array([-2.3672385]), 'y_p': array([-2.3672385])},
 {'h': 31, 'v': 1, 'y': array([-2.3672385]), 'y_p': array([-2.3672385])},
 {'h': 32, 'v': 1, 'y': array([-2.3672385]), 'y_p': array([-2.3672385])},
 {'h': 32, 'v': 3, 'y': array([-2.3672385]), 'y_p': array([-2.3672385])},
 {'h': 32, 'v': 1, 'y': array([-2.3672385]), 'y_p': array([-2.3672385])},
 {'h': 4, 'v': 1, 'y': array([ 2.68077601]), 'y_p': array([ 2.75132275])},
 {'h': 4, 'v': 2, 'y': array([ 2.75132275]), 'y_p': array([ 2.75132275])},
 {'h': 4, 'v': 1, 'y': array([ 2.82186949]), 'y_p': array([ 2.75132275])},
 {'h': 4, 'v': 1, 'y': array([ 2.25749559]), 'y_p': array([ 2.32804233])},
 {'h': 4, 'v': 2, 'y': array([ 2.32804233]), 'y_p': array([ 2.32804233])},
 {'h': 4, 'v': 1, 'y': array([ 2.39858907]), 'y_p': array([ 2.32804233])},
 {'h': 4, 'v': 1, 'y': array([ 0.77601411]), 'y_p': array([ 0.84656085])},
 {'h': 4, 'v': 1, 'y': array([ 0.84656085]), 'y_p': array([ 0.84656085])},
 {'h': 4, 'v': 1, 'y': array([ 0.91710758]), 'y_p': array([ 0.84656085])},
 {'h': 4, 'v': 1, 'y': array([ 0.5643739]), 'y_p': array([ 0.63492063])},
 {'h': 4, 'v': 1, 'y': array([ 0.63492063]), 'y_p': array([ 0.63492063])},
 {'h': 4, 'v': 1, 'y': array([ 0.70546737]), 'y_p': array([ 0.63492063])},
 {'h': 4, 'v': 1, 'y': array([-0.07054674]), 'y_p': array([ 0.])},
 {'h': 4, 'v': 1, 'y': array([ 0.]), 'y_p': array([ 0.])},
 {'h': 4, 'v': 1, 'y': array([ 0.07054674]), 'y_p': array([ 0.])},
 {'h': 5, 'v': 1, 'y': array([ 2.79835391]), 'y_p': array([ 2.82186949])},
 {'h': 5, 'v': 2, 'y': array([ 2.82186949]), 'y_p': array([ 2.82186949])},
 {'h': 5, 'v': 1, 'y': array([ 2.84538507]), 'y_p': array([ 2.82186949])},
 {'h': 6, 'v': 1, 'y': array([ 2.81403096]), 'y_p': array([ 2.82186949])},
 {'h': 6, 'v': 3, 'y': array([ 2.82186949]), 'y_p': array([ 2.82186949])},
 {'h': 6, 'v': 1, 'y': array([ 2.82970801]), 'y_p': array([ 2.82186949])},
 {'h': 7, 'v': 1, 'y': array([ 2.81925665]), 'y_p': array([ 2.82186949])},
 {'h': 7, 'v': 3, 'y': array([ 2.82186949]), 'y_p': array([ 2.82186949])},
 {'h': 7, 'v': 1, 'y': array([ 2.82448233]), 'y_p': array([ 2.82186949])},
 {'h': 7, 'v': 1, 'y': array([-2.31497812]), 'y_p': array([-2.31236528])},
 {'h': 7, 'v': 2, 'y': array([-2.31236528]), 'y_p': array([-2.31236528])},
 {'h': 7, 'v': 1, 'y': array([-2.30975243]), 'y_p': array([-2.31236528])},
 {'h': 8, 'v': 1, 'y': array([-2.65029286]), 'y_p': array([-2.64942191])},
 {'h': 8, 'v': 3, 'y': array([-2.64942191]), 'y_p': array([-2.64942191])},
 {'h': 8, 'v': 1, 'y': array([-2.64855096]), 'y_p': array([-2.64942191])},
 {'h': 9, 'v': 1, 'y': array([-2.64971222]), 'y_p': array([-2.64942191])},
 {'h': 9, 'v': 3, 'y': array([-2.64942191]), 'y_p': array([-2.64942191])},
 {'h': 9, 'v': 1, 'y': array([-2.64913159]), 'y_p': array([-2.64942191])},
 {'h': 10, 'v': 1, 'y': array([-2.649809]), 'y_p': array([-2.64971222])},
 {'h': 10, 'v': 2, 'y': array([-2.64971222]), 'y_p': array([-2.64971222])},
 {'h': 10, 'v': 1, 'y': array([-2.64961545]), 'y_p': array([-2.64971222])},
 {'h': 11, 'v': 1, 'y': array([-2.64974448]), 'y_p': array([-2.64971222])},
 {'h': 11, 'v': 3, 'y': array([-2.64971222]), 'y_p': array([-2.64971222])},
 {'h': 11, 'v': 1, 'y': array([-2.64967997]), 'y_p': array([-2.64971222])},
 {'h': 12, 'v': 1, 'y': array([-2.64972298]), 'y_p': array([-2.64971222])},
 {'h': 12, 'v': 3, 'y': array([-2.64971222]), 'y_p': array([-2.64971222])},
 {'h': 12, 'v': 1, 'y': array([-2.64970147]), 'y_p': array([-2.64971222])},
 {'h': 12, 'v': 1, 'y': array([-2.64969072]), 'y_p': array([-2.64967997])},
 {'h': 12, 'v': 2, 'y': array([-2.64967997]), 'y_p': array([-2.64967997])},
 {'h': 12, 'v': 1, 'y': array([-2.64966921]), 'y_p': array([-2.64967997])},
 {'h': 13, 'v': 1, 'y': array([-2.64968355]), 'y_p': array([-2.64967997])},
 {'h': 13, 'v': 3, 'y': array([-2.64967997]), 'y_p': array([-2.64967997])},
 {'h': 13, 'v': 1, 'y': array([-2.64967638]), 'y_p': array([-2.64967997])},
 {'h': 14, 'v': 1, 'y': array([-2.64968116]), 'y_p': array([-2.64967997])},
 {'h': 14, 'v': 3, 'y': array([-2.64967997]), 'y_p': array([-2.64967997])},
 {'h': 14, 'v': 1, 'y': array([-2.64967877]), 'y_p': array([-2.64967997])},
 {'h': 15, 'v': 1, 'y': array([-2.64968037]), 'y_p': array([-2.64967997])},
 {'h': 15, 'v': 3, 'y': array([-2.64967997]), 'y_p': array([-2.64967997])},
 {'h': 15, 'v': 1, 'y': array([-2.64967957]), 'y_p': array([-2.64967997])},
 {'h': 16, 'v': 1, 'y': array([-2.6496801]), 'y_p': array([-2.64967997])},
 {'h': 16, 'v': 3, 'y': array([-2.64967997]), 'y_p': array([-2.64967997])},
 {'h': 16, 'v': 1, 'y': array([-2.64967983]), 'y_p': array([-2.64967997])},
 {'h': 17, 'v': 1, 'y': array([-2.65727123]), 'y_p': array([-2.65727119])},
 {'h': 17, 'v': 3, 'y': array([-2.65727119]), 'y_p': array([-2.65727119])},
 {'h': 17, 'v': 1, 'y': array([-2.65727114]), 'y_p': array([-2.65727119])},
 {'h': 18, 'v': 1, 'y': array([-2.6572712]), 'y_p': array([-2.65727119])},
 {'h': 18, 'v': 3, 'y': array([-2.65727119]), 'y_p': array([-2.65727119])},
 {'h': 18, 'v': 1, 'y': array([-2.65727117]), 'y_p': array([-2.65727119])},
 {'h': 19, 'v': 1, 'y': array([-2.65727119]), 'y_p': array([-2.65727119])},
 {'h': 19, 'v': 3, 'y': array([-2.65727119]), 'y_p': array([-2.65727119])},
 {'h': 19, 'v': 1, 'y': array([-2.65727118]), 'y_p': array([-2.65727119])},
 {'h': 20, 'v': 1, 'y': array([-2.65727132]), 'y_p': array([-2.65727132])},
 {'h': 20, 'v': 3, 'y': array([-2.65727132]), 'y_p': array([-2.65727132])},
 {'h': 20, 'v': 1, 'y': array([-2.65727132]), 'y_p': array([-2.65727132])},
 {'h': 21, 'v': 1, 'y': array([-2.65727132]), 'y_p': array([-2.65727132])},
 {'h': 21, 'v': 3, 'y': array([-2.65727132]), 'y_p': array([-2.65727132])},
 {'h': 21, 'v': 1, 'y': array([-2.65727132]), 'y_p': array([-2.65727132])},
 {'h': 22, 'v': 1, 'y': array([-2.65727132]), 'y_p': array([-2.65727132])},
 {'h': 22, 'v': 3, 'y': array([-2.65727132]), 'y_p': array([-2.65727132])},
 {'h': 22, 'v': 1, 'y': array([-2.65727132]), 'y_p': array([-2.65727132])},
 {'h': 22, 'v': 1, 'y': array([-2.36723854]), 'y_p': array([-2.36723854])},
 {'h': 22, 'v': 3, 'y': array([-2.36723854]), 'y_p': array([-2.36723854])},
 {'h': 22, 'v': 1, 'y': array([-2.36723854]), 'y_p': array([-2.36723854])},
 {'h': 23, 'v': 1, 'y': array([-2.36723854]), 'y_p': array([-2.36723854])},
 {'h': 23, 'v': 3, 'y': array([-2.36723854]), 'y_p': array([-2.36723854])},
 {'h': 23, 'v': 1, 'y': array([-2.36723854]), 'y_p': array([-2.36723854])},
 {'h': 24, 'v': 1, 'y': array([-2.36723854]), 'y_p': array([-2.36723854])},
 {'h': 24, 'v': 3, 'y': array([-2.36723854]), 'y_p': array([-2.36723854])},
 {'h': 24, 'v': 1, 'y': array([-2.36723854]), 'y_p': array([-2.36723854])},
 {'h': 25, 'v': 1, 'y': array([-2.36723854]), 'y_p': array([-2.36723854])},
 {'h': 25, 'v': 3, 'y': array([-2.36723854]), 'y_p': array([-2.36723854])},
 {'h': 25, 'v': 1, 'y': array([-2.36723854]), 'y_p': array([-2.36723854])},
 {'h': 26, 'v': 1, 'y': array([-2.36723854]), 'y_p': array([-2.36723854])},
 {'h': 26, 'v': 3, 'y': array([-2.36723854]), 'y_p': array([-2.36723854])},
 {'h': 26, 'v': 1, 'y': array([-2.36723854]), 'y_p': array([-2.36723854])},
 {'h': 27, 'v': 1, 'y': array([-2.36723854]), 'y_p': array([-2.36723854])},
 {'h': 27, 'v': 3, 'y': array([-2.36723854]), 'y_p': array([-2.36723854])},
 {'h': 27, 'v': 1, 'y': array([-2.36723854]), 'y_p': array([-2.36723854])},
 {'h': 27, 'v': 1, 'y': array([-2.3672385]), 'y_p': array([-2.3672385])},
 {'h': 27, 'v': 2, 'y': array([-2.3672385]), 'y_p': array([-2.3672385])},
 {'h': 27, 'v': 1, 'y': array([-2.3672385]), 'y_p': array([-2.3672385])},
 {'h': 28, 'v': 1, 'y': array([-2.3672385]), 'y_p': array([-2.3672385])},
 {'h': 28, 'v': 3, 'y': array([-2.3672385]), 'y_p': array([-2.3672385])},
 {'h': 28, 'v': 1, 'y': array([-2.3672385]), 'y_p': array([-2.3672385])},
 {'h': 29, 'v': 1, 'y': array([-2.3672385]), 'y_p': array([-2.3672385])},
 {'h': 29, 'v': 3, 'y': array([-2.3672385]), 'y_p': array([-2.3672385])},
 {'h': 29, 'v': 1, 'y': array([-2.3672385]), 'y_p': array([-2.3672385])},
 {'h': 30, 'v': 1, 'y': array([-2.3672385]), 'y_p': array([-2.3672385])},
 {'h': 30, 'v': 3, 'y': array([-2.3672385]), 'y_p': array([-2.3672385])},
 {'h': 30, 'v': 1, 'y': array([-2.3672385]), 'y_p': array([-2.3672385])},
 {'h': 31, 'v': 1, 'y': array([-2.3672385]), 'y_p': array([-2.3672385])},
 {'h': 31, 'v': 3, 'y': array([-2.3672385]), 'y_p': array([-2.3672385])},
 {'h': 31, 'v': 1, 'y': array([-2.3672385]), 'y_p': array([-2.3672385])},
 {'h': 32, 'v': 1, 'y': array([-2.3672385]), 'y_p': array([-2.3672385])},
 {'h': 32, 'v': 3, 'y': array([-2.3672385]), 'y_p': array([-2.3672385])},
 {'h': 32, 'v': 1, 'y': array([-2.3672385]), 'y_p': array([-2.3672385])},
 {'h': 4, 'v': 1, 'y': array([-0.70546737]), 'y_p': array([-0.63492063])},
 {'h': 4, 'v': 1, 'y': array([-0.63492063]), 'y_p': array([-0.63492063])},
 {'h': 4, 'v': 1, 'y': array([-0.5643739]), 'y_p': array([-0.63492063])},
 {'h': 4, 'v': 1, 'y': array([ 0.35273369]), 'y_p': array([ 0.42328042])},
 {'h': 4, 'v': 1, 'y': array([ 0.42328042]), 'y_p': array([ 0.42328042])},
 {'h': 4, 'v': 1, 'y': array([ 0.49382716]), 'y_p': array([ 0.42328042])},
 {'h': 4, 'v': 1, 'y': array([-0.49382716]), 'y_p': array([-0.42328042])},
 {'h': 4, 'v': 1, 'y': array([-0.42328042]), 'y_p': array([-0.42328042])},
 {'h': 4, 'v': 1, 'y': array([-0.35273369]), 'y_p': array([-0.42328042])},
 {'h': 5, 'v': 1, 'y': array([-2.77483833]), 'y_p': array([-2.75132275])},
 {'h': 5, 'v': 3, 'y': array([-2.75132275]), 'y_p': array([-2.75132275])},
 {'h': 5, 'v': 1, 'y': array([-2.72780717]), 'y_p': array([-2.75132275])},
 {'h': 5, 'v': 1, 'y': array([ 2.72780717]), 'y_p': array([ 2.75132275])},
 {'h': 5, 'v': 3, 'y': array([ 2.75132275]), 'y_p': array([ 2.75132275])},
 {'h': 5, 'v': 1, 'y': array([ 2.77483833]), 'y_p': array([ 2.75132275])},
 {'h': 6, 'v': 1, 'y': array([ 2.74348422]), 'y_p': array([ 2.75132275])},
 {'h': 6, 'v': 3, 'y': array([ 2.75132275]), 'y_p': array([ 2.75132275])},
 {'h': 6, 'v': 1, 'y': array([ 2.75916128]), 'y_p': array([ 2.75132275])},
 {'h': 6, 'v': 1, 'y': array([ 1.92043896]), 'y_p': array([ 1.92827748])},
 {'h': 6, 'v': 2, 'y': array([ 1.92827748]), 'y_p': array([ 1.92827748])},
 {'h': 6, 'v': 1, 'y': array([ 1.93611601]), 'y_p': array([ 1.92827748])},
 {'h': 7, 'v': 1, 'y': array([ 2.81141812]), 'y_p': array([ 2.81403096])},
 {'h': 7, 'v': 2, 'y': array([ 2.81403096]), 'y_p': array([ 2.81403096])},
 {'h': 7, 'v': 1, 'y': array([ 2.8166438]), 'y_p': array([ 2.81403096])},
 {'h': 7, 'v': 1, 'y': array([-2.54229538]), 'y_p': array([-2.53968254])},
 {'h': 7, 'v': 3, 'y': array([-2.53968254]), 'y_p': array([-2.53968254])},
 {'h': 7, 'v': 1, 'y': array([-2.5370697]), 'y_p': array([-2.53968254])},
 {'h': 7, 'v': 1, 'y': array([-2.1895617]), 'y_p': array([-2.18694885])},
 {'h': 7, 'v': 2, 'y': array([-2.18694885]), 'y_p': array([-2.18694885])},
 {'h': 7, 'v': 1, 'y': array([-2.18433601]), 'y_p': array([-2.18694885])},
 {'h': 8, 'v': 1, 'y': array([ 2.82099854]), 'y_p': array([ 2.82186949])},
 {'h': 8, 'v': 3, 'y': array([ 2.82186949]), 'y_p': array([ 2.82186949])},
 {'h': 8, 'v': 1, 'y': array([ 2.82274044]), 'y_p': array([ 2.82186949])},
 {'h': 8, 'v': 1, 'y': array([ 2.81054717]), 'y_p': array([ 2.81141812])},
 {'h': 8, 'v': 2, 'y': array([ 2.81141812]), 'y_p': array([ 2.81141812])},
 {'h': 8, 'v': 1, 'y': array([ 2.81228907]), 'y_p': array([ 2.81141812])},
 {'h': 9, 'v': 1, 'y': array([ 2.8111278]), 'y_p': array([ 2.81141812])},
 {'h': 9, 'v': 3, 'y': array([ 2.81141812]), 'y_p': array([ 2.81141812])},
 {'h': 9, 'v': 1, 'y': array([ 2.81170844]), 'y_p': array([ 2.81141812])},
 {'h': 10, 'v': 1, 'y': array([ 2.81132135]), 'y_p': array([ 2.81141812])},
 {'h': 10, 'v': 3, 'y': array([ 2.81141812]), 'y_p': array([ 2.81141812])},
 {'h': 10, 'v': 1, 'y': array([ 2.81151489]), 'y_p': array([ 2.81141812])},
 {'h': 11, 'v': 1, 'y': array([ 2.81138586]), 'y_p': array([ 2.81141812])},
 {'h': 11, 'v': 3, 'y': array([ 2.81141812]), 'y_p': array([ 2.81141812])},
 {'h': 11, 'v': 1, 'y': array([ 2.81145038]), 'y_p': array([ 2.81141812])},
 {'h': 12, 'v': 1, 'y': array([ 2.81140737]), 'y_p': array([ 2.81141812])},
 {'h': 12, 'v': 3, 'y': array([ 2.81141812]), 'y_p': array([ 2.81141812])},
 {'h': 12, 'v': 1, 'y': array([ 2.81142887]), 'y_p': array([ 2.81141812])},
 {'h': 13, 'v': 1, 'y': array([ 2.81141454]), 'y_p': array([ 2.81141812])},
 {'h': 13, 'v': 3, 'y': array([ 2.81141812]), 'y_p': array([ 2.81141812])},
 {'h': 13, 'v': 1, 'y': array([ 2.8114217]), 'y_p': array([ 2.81141812])},
 {'h': 13, 'v': 1, 'y': array([-2.65726402]), 'y_p': array([-2.65726044])},
 {'h': 13, 'v': 3, 'y': array([-2.65726044]), 'y_p': array([-2.65726044])},
 {'h': 13, 'v': 1, 'y': array([-2.65725685]), 'y_p': array([-2.65726044])},
 {'h': 13, 'v': 1, 'y': array([-2.64971581]), 'y_p': array([-2.64971222])},
 {'h': 13, 'v': 3, 'y': array([-2.64971222]), 'y_p': array([-2.64971222])},
 {'h': 13, 'v': 1, 'y': array([-2.64970864]), 'y_p': array([-2.64971222])},
 {'h': 14, 'v': 1, 'y': array([ 2.81141334]), 'y_p': array([ 2.81141454])},
 {'h': 14, 'v': 2, 'y': array([ 2.81141454]), 'y_p': array([ 2.81141454])},
 {'h': 14, 'v': 1, 'y': array([ 2.81141573]), 'y_p': array([ 2.81141454])},
 {'h': 15, 'v': 1, 'y': array([ 2.81141414]), 'y_p': array([ 2.81141454])},
 {'h': 15, 'v': 3, 'y': array([ 2.81141454]), 'y_p': array([ 2.81141454])},
 {'h': 15, 'v': 1, 'y': array([ 2.81141493]), 'y_p': array([ 2.81141454])},
 {'h': 16, 'v': 1, 'y': array([ 2.8114144]), 'y_p': array([ 2.81141454])},
 {'h': 16, 'v': 3, 'y': array([ 2.81141454]), 'y_p': array([ 2.81141454])},
 {'h': 16, 'v': 1, 'y': array([ 2.81141467]), 'y_p': array([ 2.81141454])},
 {'h': 17, 'v': 1, 'y': array([ 2.81141449]), 'y_p': array([ 2.81141454])},
 {'h': 17, 'v': 3, 'y': array([ 2.81141454]), 'y_p': array([ 2.81141454])},
 {'h': 17, 'v': 1, 'y': array([ 2.81141458]), 'y_p': array([ 2.81141454])},
 {'h': 18, 'v': 1, 'y': array([ 2.81141452]), 'y_p': array([ 2.81141454])},
 {'h': 18, 'v': 3, 'y': array([ 2.81141454]), 'y_p': array([ 2.81141454])},
 {'h': 18, 'v': 1, 'y': array([ 2.81141455]), 'y_p': array([ 2.81141454])},
 {'h': 19, 'v': 1, 'y': array([ 2.81141453]), 'y_p': array([ 2.81141454])},
 {'h': 19, 'v': 3, 'y': array([ 2.81141454]), 'y_p': array([ 2.81141454])},
 {'h': 19, 'v': 1, 'y': array([ 2.81141454]), 'y_p': array([ 2.81141454])},
 {'h': 20, 'v': 1, 'y': array([ 2.81141453]), 'y_p': array([ 2.81141454])},
 {'h': 20, 'v': 3, 'y': array([ 2.81141454]), 'y_p': array([ 2.81141454])},
 {'h': 20, 'v': 1, 'y': array([ 2.81141454]), 'y_p': array([ 2.81141454])},
 {'h': 20, 'v': 1, 'y': array([-2.65727119]), 'y_p': array([-2.65727119])},
 {'h': 20, 'v': 3, 'y': array([-2.65727119]), 'y_p': array([-2.65727119])},
 {'h': 20, 'v': 1, 'y': array([-2.65727119]), 'y_p': array([-2.65727119])},
 {'h': 21, 'v': 1, 'y': array([-2.65727119]), 'y_p': array([-2.65727119])},
 {'h': 21, 'v': 3, 'y': array([-2.65727119]), 'y_p': array([-2.65727119])},
 {'h': 21, 'v': 1, 'y': array([-2.65727119]), 'y_p': array([-2.65727119])},
 {'h': 22, 'v': 1, 'y': array([-2.65727119]), 'y_p': array([-2.65727119])},
 {'h': 22, 'v': 2, 'y': array([-2.65727119]), 'y_p': array([-2.65727119])},
 {'h': 22, 'v': 1, 'y': array([-2.65727119]), 'y_p': array([-2.65727119])},
 {'h': 23, 'v': 1, 'y': array([-2.65727119]), 'y_p': array([-2.65727119])},
 {'h': 23, 'v': 3, 'y': array([-2.65727119]), 'y_p': array([-2.65727119])},
 {'h': 23, 'v': 1, 'y': array([-2.65727119]), 'y_p': array([-2.65727119])},
 {'h': 24, 'v': 1, 'y': array([-2.65727119]), 'y_p': array([-2.65727119])},
 {'h': 24, 'v': 3, 'y': array([-2.65727119]), 'y_p': array([-2.65727119])},
 {'h': 24, 'v': 1, 'y': array([-2.65727119]), 'y_p': array([-2.65727119])},
 {'h': 25, 'v': 1, 'y': array([-2.65727119]), 'y_p': array([-2.65727119])},
 {'h': 25, 'v': 3, 'y': array([-2.65727119]), 'y_p': array([-2.65727119])},
 {'h': 25, 'v': 1, 'y': array([-2.65727119]), 'y_p': array([-2.65727119])},
 {'h': 26, 'v': 1, 'y': array([-2.65727119]), 'y_p': array([-2.65727119])},
 {'h': 26, 'v': 3, 'y': array([-2.65727119]), 'y_p': array([-2.65727119])},
 {'h': 26, 'v': 1, 'y': array([-2.65727119]), 'y_p': array([-2.65727119])},
 {'h': 27, 'v': 1, 'y': array([-2.65727119]), 'y_p': array([-2.65727119])},
 {'h': 27, 'v': 3, 'y': array([-2.65727119]), 'y_p': array([-2.65727119])},
 {'h': 27, 'v': 1, 'y': array([-2.65727119]), 'y_p': array([-2.65727119])},
 {'h': 28, 'v': 1, 'y': array([-2.65727119]), 'y_p': array([-2.65727119])},
 {'h': 28, 'v': 3, 'y': array([-2.65727119]), 'y_p': array([-2.65727119])},
 {'h': 28, 'v': 1, 'y': array([-2.65727119]), 'y_p': array([-2.65727119])},
 {'h': 29, 'v': 1, 'y': array([-2.65727119]), 'y_p': array([-2.65727119])},
 {'h': 29, 'v': 3, 'y': array([-2.65727119]), 'y_p': array([-2.65727119])},
 {'h': 29, 'v': 1, 'y': array([-2.65727119]), 'y_p': array([-2.65727119])},
 {'h': 30, 'v': 1, 'y': array([-2.65727119]), 'y_p': array([-2.65727119])},
 {'h': 30, 'v': 3, 'y': array([-2.65727119]), 'y_p': array([-2.65727119])},
 {'h': 30, 'v': 1, 'y': array([-2.65727119]), 'y_p': array([-2.65727119])},
 {'h': 31, 'v': 1, 'y': array([-2.65727119]), 'y_p': array([-2.65727119])},
 {'h': 31, 'v': 3, 'y': array([-2.65727119]), 'y_p': array([-2.65727119])},
 {'h': 31, 'v': 1, 'y': array([-2.65727119]), 'y_p': array([-2.65727119])},
 {'h': 32, 'v': 1, 'y': array([-2.65727119]), 'y_p': array([-2.65727119])},
 {'h': 32, 'v': 3, 'y': array([-2.65727119]), 'y_p': array([-2.65727119])},
 {'h': 32, 'v': 1, 'y': array([-2.65727119]), 'y_p': array([-2.65727119])},
 {'h': 4, 'v': 1, 'y': array([ 0.14109347]), 'y_p': array([ 0.21164021])},
 {'h': 4, 'v': 1, 'y': array([ 0.21164021]), 'y_p': array([ 0.21164021])},
 {'h': 4, 'v': 1, 'y': array([ 0.28218695]), 'y_p': array([ 0.21164021])},
 {'h': 5, 'v': 1, 'y': array([-2.63374486]), 'y_p': array([-2.61022928])},
 {'h': 5, 'v': 2, 'y': array([-2.61022928]), 'y_p': array([-2.61022928])},
 {'h': 5, 'v': 1, 'y': array([-2.5867137]), 'y_p': array([-2.61022928])},
 {'h': 5, 'v': 1, 'y': array([ 2.51616696]), 'y_p': array([ 2.53968254])},
 {'h': 5, 'v': 3, 'y': array([ 2.53968254]), 'y_p': array([ 2.53968254])},
 {'h': 5, 'v': 1, 'y': array([ 2.56319812]), 'y_p': array([ 2.53968254])},
 {'h': 5, 'v': 1, 'y': array([ 2.37507349]), 'y_p': array([ 2.39858907])},
 {'h': 5, 'v': 2, 'y': array([ 2.39858907]), 'y_p': array([ 2.39858907])},
 {'h': 5, 'v': 1, 'y': array([ 2.42210464]), 'y_p': array([ 2.39858907])},
 {'h': 5, 'v': 1, 'y': array([ 2.30452675]), 'y_p': array([ 2.32804233])},
 {'h': 5, 'v': 3, 'y': array([ 2.32804233]), 'y_p': array([ 2.32804233])},
 {'h': 5, 'v': 1, 'y': array([ 2.35155791]), 'y_p': array([ 2.32804233])},
 {'h': 6, 'v': 1, 'y': array([-2.6180678]), 'y_p': array([-2.61022928])},
 {'h': 6, 'v': 3, 'y': array([-2.61022928]), 'y_p': array([-2.61022928])},
 {'h': 6, 'v': 1, 'y': array([-2.60239075]), 'y_p': array([-2.61022928])},
 {'h': 7, 'v': 1, 'y': array([-2.61284212]), 'y_p': array([-2.61022928])},
 {'h': 7, 'v': 3, 'y': array([-2.61022928]), 'y_p': array([-2.61022928])},
 {'h': 7, 'v': 1, 'y': array([-2.60761643]), 'y_p': array([-2.61022928])},
 {'h': 8, 'v': 1, 'y': array([-2.64768001]), 'y_p': array([-2.64680907])},
 {'h': 8, 'v': 2, 'y': array([-2.64680907]), 'y_p': array([-2.64680907])},
 {'h': 8, 'v': 1, 'y': array([-2.64593812]), 'y_p': array([-2.64680907])},
 {'h': 8, 'v': 1, 'y': array([-2.60848738]), 'y_p': array([-2.60761643])},
 {'h': 8, 'v': 2, 'y': array([-2.60761643]), 'y_p': array([-2.60761643])},
 {'h': 8, 'v': 1, 'y': array([-2.60674549]), 'y_p': array([-2.60761643])},
 {'h': 9, 'v': 1, 'y': array([-2.60790675]), 'y_p': array([-2.60761643])},
 {'h': 9, 'v': 3, 'y': array([-2.60761643]), 'y_p': array([-2.60761643])},
 {'h': 9, 'v': 1, 'y': array([-2.60732612]), 'y_p': array([-2.60761643])},
 {'h': 10, 'v': 1, 'y': array([-2.60771321]), 'y_p': array([-2.60761643])},
 {'h': 10, 'v': 3, 'y': array([-2.60761643]), 'y_p': array([-2.60761643])},
 {'h': 10, 'v': 1, 'y': array([-2.60751966]), 'y_p': array([-2.60761643])},
 {'h': 11, 'v': 1, 'y': array([-2.60774546]), 'y_p': array([-2.60771321])},
 {'h': 11, 'v': 2, 'y': array([-2.60771321]), 'y_p': array([-2.60771321])},
 {'h': 11, 'v': 1, 'y': array([-2.60768095]), 'y_p': array([-2.60771321])},
 ...]

















In [ ]:

Content source: ash-aldujaili/eh-lsopt

Similar notebooks:

notebook.community | gallery | about