quant-econ Solutions: Optimal Savings

In [1]:

    

%matplotlib inline


    

In [2]:

    

import numpy as np
import matplotlib.pyplot as plt
from quantecon import ConsumerProblem, compute_fixed_point


    

In [3]:

    

cp = ConsumerProblem()
K = 80

# Bellman iteration 
V, c = cp.initialize()
print "Starting value function iteration"
for i in range(K):
    # print "Current iterate = " + str(i)
    V = cp.bellman_operator(V)  
c1 = cp.bellman_operator(V, return_policy=True)  

# Policy iteration 
print "Starting policy function iteration"
V, c2 = cp.initialize()
for i in range(K):
    # print "Current iterate = " + str(i)
    c2 = cp.coleman_operator(c2)

fig, ax = plt.subplots(figsize=(10, 8))
ax.plot(cp.asset_grid, c1[:, 0], label='value function iteration')
ax.plot(cp.asset_grid, c2[:, 0], label='policy function iteration')
ax.set_xlabel('asset level')
ax.set_ylabel('consumption (low income)')
ax.legend(loc='upper left')


    

    




Starting value function iteration
Starting policy function iteration






    
Out[3]:





<matplotlib.legend.Legend at 0x4660c90>






    

In [5]:

    

r_vals = np.linspace(0, 0.04, 4)  

fig, ax = plt.subplots(figsize=(10, 8))
for r_val in r_vals:
    cp = ConsumerProblem(r=r_val)
    v_init, c_init = cp.initialize()
    c = compute_fixed_point(cp.coleman_operator, c_init, verbose=False)
    ax.plot(cp.asset_grid, c[:, 0], label=r'$r = %.3f$' % r_val)

ax.set_xlabel('asset level')
ax.set_ylabel('consumption (low income)')
ax.legend(loc='upper left')


    

    
Out[5]:





<matplotlib.legend.Legend at 0x4a3d490>






    

In [6]:

    

from scipy import interp
from quantecon import mc_sample_path 

def compute_asset_series(cp, T=500000):
    """
    Simulates a time series of length T for assets, given optimal savings
    behavior.  Parameter cp is an instance of consumerProblem
    """

    Pi, z_vals, R = cp.Pi, cp.z_vals, cp.R  # Simplify names
    v_init, c_init = cp.initialize()
    c = compute_fixed_point(cp.coleman_operator, c_init)
    cf = lambda a, i_z: interp(a, cp.asset_grid, c[:, i_z])
    a = np.zeros(T+1)
    z_seq = mc_sample_path(Pi, sample_size=T)
    for t in range(T):
        i_z = z_seq[t]
        a[t+1] = R * a[t] + z_vals[i_z] - cf(a[t], i_z)
    return a

cp = ConsumerProblem(r=0.03, grid_max=4)
a = compute_asset_series(cp)
fig, ax = plt.subplots(figsize=(10, 8))
ax.hist(a, bins=20, alpha=0.5, normed=True)
ax.set_xlabel('assets')
ax.set_xlim(-0.05, 0.75)


    

    




Computed iterate 1 with error 2.027046
Computed iterate 2 with error 0.678099
Computed iterate 3 with error 0.339002
Computed iterate 4 with error 0.202386
Computed iterate 5 with error 0.133581
Computed iterate 6 with error 0.094020
Computed iterate 7 with error 0.069180
Computed iterate 8 with error 0.052571
Computed iterate 9 with error 0.040947
Computed iterate 10 with error 0.032540
Computed iterate 11 with error 0.026283
Computed iterate 12 with error 0.021507
Computed iterate 13 with error 0.017785
Computed iterate 14 with error 0.014834
Computed iterate 15 with error 0.012470
Computed iterate 16 with error 0.010543
Computed iterate 17 with error 0.008954
Computed iterate 18 with error 0.007635
Computed iterate 19 with error 0.006531
Computed iterate 20 with error 0.005601
Computed iterate 21 with error 0.004814
Computed iterate 22 with error 0.004148
Computed iterate 23 with error 0.003579
Computed iterate 24 with error 0.003089
Computed iterate 25 with error 0.002669
Computed iterate 26 with error 0.002306
Computed iterate 27 with error 0.001993
Computed iterate 28 with error 0.001722
Computed iterate 29 with error 0.001488
Computed iterate 30 with error 0.001286
Computed iterate 31 with error 0.001110
Computed iterate 32 with error 0.000958






    
Out[6]:





(-0.05, 0.75)






    

In [7]:

    

M = 25
r_vals = np.linspace(0, 0.04, M)  
fig, ax = plt.subplots(figsize=(10,8))

for b in (1, 3):
    asset_mean = []
    for r_val in r_vals:
        cp = ConsumerProblem(r=r_val, b=b)
        mean = np.mean(compute_asset_series(cp, T=250000))
        asset_mean.append(mean)
    ax.plot(asset_mean, r_vals, label=r'$b = %d$' % b)

ax.set_yticks(np.arange(.0, 0.045, .01))
ax.set_xticks(np.arange(-3, 2, 1))
ax.set_xlabel('capital')
ax.set_ylabel('interest rate')
ax.grid(True)
ax.legend(loc='upper left')


    

    




Computed iterate 1 with error 8.319563
Computed iterate 2 with error 2.763621
Computed iterate 3 with error 1.373014
Computed iterate 4 with error 0.815922
Computed iterate 5 with error 0.536897
Computed iterate 6 with error 0.377164
Computed iterate 7 with error 0.277143
Computed iterate 8 with error 0.210330
Computed iterate 9 with error 0.163461
Computed iterate 10 with error 0.129296
Computed iterate 11 with error 0.103609
Computed iterate 12 with error 0.083791
Computed iterate 13 with error 0.068174
Computed iterate 14 with error 0.055638
Computed iterate 15 with error 0.045424
Computed iterate 16 with error 0.037007
Computed iterate 17 with error 0.030010
Computed iterate 18 with error 0.024161
Computed iterate 19 with error 0.019265
Computed iterate 20 with error 0.015174
Computed iterate 21 with error 0.011778
Computed iterate 22 with error 0.008995
Computed iterate 23 with error 0.006748
Computed iterate 24 with error 0.004964
Computed iterate 25 with error 0.003578
Computed iterate 26 with error 0.002530
Computed iterate 27 with error 0.001757
Computed iterate 28 with error 0.001201
Computed iterate 29 with error 0.000810
Computed iterate 1 with error 8.334297
Computed iterate 2 with error 2.769114
Computed iterate 3 with error 1.376214
Computed iterate 4 with error 0.818222
Computed iterate 5 with error 0.538762
Computed iterate 6 with error 0.378796
Computed iterate 7 with error 0.278642
Computed iterate 8 with error 0.211751
Computed iterate 9 with error 0.164840
Computed iterate 10 with error 0.130653
Computed iterate 11 with error 0.104958
Computed iterate 12 with error 0.085143
Computed iterate 13 with error 0.069535
Computed iterate 14 with error 0.057014
Computed iterate 15 with error 0.046814
Computed iterate 16 with error 0.038406
Computed iterate 17 with error 0.031410
Computed iterate 18 with error 0.025551
Computed iterate 19 with error 0.020627
Computed iterate 20 with error 0.016488
Computed iterate 21 with error 0.013022
Computed iterate 22 with error 0.010143
Computed iterate 23 with error 0.007781
Computed iterate 24 with error 0.005872
Computed iterate 25 with error 0.004353
Computed iterate 26 with error 0.003171
Computed iterate 27 with error 0.002270
Computed iterate 28 with error 0.001599
Computed iterate 29 with error 0.001111
Computed iterate 30 with error 0.000763
Computed iterate 1 with error 8.349026
Computed iterate 2 with error 2.774599
Computed iterate 3 with error 1.379404
Computed iterate 4 with error 0.820510
Computed iterate 5 with error 0.540614
Computed iterate 6 with error 0.380412
Computed iterate 7 with error 0.280122
Computed iterate 8 with error 0.213152
Computed iterate 9 with error 0.166194
Computed iterate 10 with error 0.131983
Computed iterate 11 with error 0.106278
Computed iterate 12 with error 0.086463
Computed iterate 13 with error 0.070862
Computed iterate 14 with error 0.058352
Computed iterate 15 with error 0.048165
Computed iterate 16 with error 0.039767
Computed iterate 17 with error 0.032775
Computed iterate 18 with error 0.026910
Computed iterate 19 with error 0.021967
Computed iterate 20 with error 0.017793
Computed iterate 21 with error 0.014272
Computed iterate 22 with error 0.011317
Computed iterate 23 with error 0.008859
Computed iterate 24 with error 0.006839
Computed iterate 25 with error 0.005199
Computed iterate 26 with error 0.003890
Computed iterate 27 with error 0.002864
Computed iterate 28 with error 0.002076
Computed iterate 29 with error 0.001484
Computed iterate 30 with error 0.001048
Computed iterate 31 with error 0.000733
Computed iterate 1 with error 8.363750
Computed iterate 2 with error 2.780077
Computed iterate 3 with error 1.382584
Computed iterate 4 with error 0.822786
Computed iterate 5 with error 0.542452
Computed iterate 6 with error 0.382012
Computed iterate 7 with error 0.281583
Computed iterate 8 with error 0.214532
Computed iterate 9 with error 0.167525
Computed iterate 10 with error 0.133287
Computed iterate 11 with error 0.107569
Computed iterate 12 with error 0.087752
Computed iterate 13 with error 0.072155
Computed iterate 14 with error 0.059654
Computed iterate 15 with error 0.049478
Computed iterate 16 with error 0.041089
Computed iterate 17 with error 0.034102
Computed iterate 18 with error 0.028236
Computed iterate 19 with error 0.023281
Computed iterate 20 with error 0.019081
Computed iterate 21 with error 0.015519
Computed iterate 22 with error 0.012505
Computed iterate 23 with error 0.009968
Computed iterate 24 with error 0.007854
Computed iterate 25 with error 0.006109
Computed iterate 26 with error 0.004687
Computed iterate 27 with error 0.003544
Computed iterate 28 with error 0.002641
Computed iterate 29 with error 0.001942
Computed iterate 30 with error 0.001412
Computed iterate 31 with error 0.001015
Computed iterate 32 with error 0.000723
Computed iterate 1 with error 8.378468
Computed iterate 2 with error 2.785547
Computed iterate 3 with error 1.385756
Computed iterate 4 with error 0.825051
Computed iterate 5 with error 0.544277
Computed iterate 6 with error 0.383596
Computed iterate 7 with error 0.283027
Computed iterate 8 with error 0.215891
Computed iterate 9 with error 0.168835
Computed iterate 10 with error 0.134567
Computed iterate 11 with error 0.108833
Computed iterate 12 with error 0.089011
Computed iterate 13 with error 0.073414
Computed iterate 14 with error 0.060920
Computed iterate 15 with error 0.050753
Computed iterate 16 with error 0.042373
Computed iterate 17 with error 0.035392
Computed iterate 18 with error 0.029526
Computed iterate 19 with error 0.024564
Computed iterate 20 with error 0.020347
Computed iterate 21 with error 0.016755
Computed iterate 22 with error 0.013696
Computed iterate 23 with error 0.011098
Computed iterate 24 with error 0.008904
Computed iterate 25 with error 0.007068
Computed iterate 26 with error 0.005547
Computed iterate 27 with error 0.004298
Computed iterate 28 with error 0.003288
Computed iterate 29 with error 0.002484
Computed iterate 30 with error 0.001854
Computed iterate 31 with error 0.001368
Computed iterate 32 with error 0.000999
Computed iterate 1 with error 8.393181
Computed iterate 2 with error 2.791010
Computed iterate 3 with error 1.388918
Computed iterate 4 with error 0.827305
Computed iterate 5 with error 0.546088
Computed iterate 6 with error 0.385165
Computed iterate 7 with error 0.284454
Computed iterate 8 with error 0.217231
Computed iterate 9 with error 0.170121
Computed iterate 10 with error 0.135821
Computed iterate 11 with error 0.110070
Computed iterate 12 with error 0.090240
Computed iterate 13 with error 0.074642
Computed iterate 14 with error 0.062151
Computed iterate 15 with error 0.051992
Computed iterate 16 with error 0.043619
Computed iterate 17 with error 0.036644
Computed iterate 18 with error 0.030780
Computed iterate 19 with error 0.025815
Computed iterate 20 with error 0.021586
Computed iterate 21 with error 0.017972
Computed iterate 22 with error 0.014879
Computed iterate 23 with error 0.012234
Computed iterate 24 with error 0.009979
Computed iterate 25 with error 0.008067
Computed iterate 26 with error 0.006459
Computed iterate 27 with error 0.005118
Computed iterate 28 with error 0.004010
Computed iterate 29 with error 0.003107
Computed iterate 30 with error 0.002380
Computed iterate 31 with error 0.001803
Computed iterate 32 with error 0.001353
Computed iterate 33 with error 0.001006
Computed iterate 34 with error 0.000743
Computed iterate 1 with error 8.407888
Computed iterate 2 with error 2.796466
Computed iterate 3 with error 1.392071
Computed iterate 4 with error 0.829548
Computed iterate 5 with error 0.547887
Computed iterate 6 with error 0.386718
Computed iterate 7 with error 0.285863
Computed iterate 8 with error 0.218552
Computed iterate 9 with error 0.171386
Computed iterate 10 with error 0.137052
Computed iterate 11 with error 0.111281
Computed iterate 12 with error 0.091441
Computed iterate 13 with error 0.075838
Computed iterate 14 with error 0.063349
Computed iterate 15 with error 0.053195
Computed iterate 16 with error 0.044828
Computed iterate 17 with error 0.037858
Computed iterate 18 with error 0.031997
Computed iterate 19 with error 0.027029
Computed iterate 20 with error 0.022793
Computed iterate 21 with error 0.019165
Computed iterate 22 with error 0.016047
Computed iterate 23 with error 0.013367
Computed iterate 24 with error 0.011064
Computed iterate 25 with error 0.009092
Computed iterate 26 with error 0.007413
Computed iterate 27 with error 0.005993
Computed iterate 28 with error 0.004800
Computed iterate 29 with error 0.003807
Computed iterate 30 with error 0.002989
Computed iterate 31 with error 0.002323
Computed iterate 32 with error 0.001788
Computed iterate 33 with error 0.001364
Computed iterate 34 with error 0.001031
Computed iterate 35 with error 0.000774
Computed iterate 1 with error 8.422589
Computed iterate 2 with error 2.801915
Computed iterate 3 with error 1.395215
Computed iterate 4 with error 0.831779
Computed iterate 5 with error 0.549672
Computed iterate 6 with error 0.388257
Computed iterate 7 with error 0.287256
Computed iterate 8 with error 0.219853
Computed iterate 9 with error 0.172630
Computed iterate 10 with error 0.138260
Computed iterate 11 with error 0.112465
Computed iterate 12 with error 0.092612
Computed iterate 13 with error 0.077004
Computed iterate 14 with error 0.064514
Computed iterate 15 with error 0.054362
Computed iterate 16 with error 0.046000
Computed iterate 17 with error 0.039033
Computed iterate 18 with error 0.033175
Computed iterate 19 with error 0.028208
Computed iterate 20 with error 0.023967
Computed iterate 21 with error 0.020329
Computed iterate 22 with error 0.017194
Computed iterate 23 with error 0.014488
Computed iterate 24 with error 0.012150
Computed iterate 25 with error 0.010132
Computed iterate 26 with error 0.008396
Computed iterate 27 with error 0.006909
Computed iterate 28 with error 0.005643
Computed iterate 29 with error 0.004571
Computed iterate 30 with error 0.003671
Computed iterate 31 with error 0.002922
Computed iterate 32 with error 0.002305
Computed iterate 33 with error 0.001802
Computed iterate 34 with error 0.001397
Computed iterate 35 with error 0.001074
Computed iterate 36 with error 0.000820
Computed iterate 1 with error 8.437286
Computed iterate 2 with error 2.807356
Computed iterate 3 with error 1.398349
Computed iterate 4 with error 0.834000
Computed iterate 5 with error 0.551445
Computed iterate 6 with error 0.389781
Computed iterate 7 with error 0.288631
Computed iterate 8 with error 0.221136
Computed iterate 9 with error 0.173853
Computed iterate 10 with error 0.139444
Computed iterate 11 with error 0.113625
Computed iterate 12 with error 0.093757
Computed iterate 13 with error 0.078140
Computed iterate 14 with error 0.065646
Computed iterate 15 with error 0.055496
Computed iterate 16 with error 0.047136
Computed iterate 17 with error 0.040172
Computed iterate 18 with error 0.034315
Computed iterate 19 with error 0.029349
Computed iterate 20 with error 0.025106
Computed iterate 21 with error 0.021461
Computed iterate 22 with error 0.018314
Computed iterate 23 with error 0.015589
Computed iterate 24 with error 0.013225
Computed iterate 25 with error 0.011173
Computed iterate 26 with error 0.009392
Computed iterate 27 with error 0.007853
Computed iterate 28 with error 0.006526
Computed iterate 29 with error 0.005388
Computed iterate 30 with error 0.004416
Computed iterate 31 with error 0.003592
Computed iterate 32 with error 0.002899
Computed iterate 33 with error 0.002321
Computed iterate 34 with error 0.001843
Computed iterate 35 with error 0.001452
Computed iterate 36 with error 0.001135
Computed iterate 37 with error 0.000881
Computed iterate 1 with error 8.451977
Computed iterate 2 with error 2.812791
Computed iterate 3 with error 1.401475
Computed iterate 4 with error 0.836211
Computed iterate 5 with error 0.553205
Computed iterate 6 with error 0.391291
Computed iterate 7 with error 0.289991
Computed iterate 8 with error 0.222400
Computed iterate 9 with error 0.175055
Computed iterate 10 with error 0.140606
Computed iterate 11 with error 0.114760
Computed iterate 12 with error 0.094875
Computed iterate 13 with error 0.079248
Computed iterate 14 with error 0.066748
Computed iterate 15 with error 0.056596
Computed iterate 16 with error 0.048236
Computed iterate 17 with error 0.041274
Computed iterate 18 with error 0.035419
Computed iterate 19 with error 0.030452
Computed iterate 20 with error 0.026208
Computed iterate 21 with error 0.022559
Computed iterate 22 with error 0.019404
Computed iterate 23 with error 0.016665
Computed iterate 24 with error 0.014282
Computed iterate 25 with error 0.012204
Computed iterate 26 with error 0.010391
Computed iterate 27 with error 0.008811
Computed iterate 28 with error 0.007436
Computed iterate 29 with error 0.006243
Computed iterate 30 with error 0.005211
Computed iterate 31 with error 0.004324
Computed iterate 32 with error 0.003563
Computed iterate 33 with error 0.002917
Computed iterate 34 with error 0.002370
Computed iterate 35 with error 0.001913
Computed iterate 36 with error 0.001532
Computed iterate 37 with error 0.001219
Computed iterate 38 with error 0.000963
Computed iterate 1 with error 8.466662
Computed iterate 2 with error 2.818218
Computed iterate 3 with error 1.404593
Computed iterate 4 with error 0.838411
Computed iterate 5 with error 0.554953
Computed iterate 6 with error 0.392786
Computed iterate 7 with error 0.291334
Computed iterate 8 with error 0.223647
Computed iterate 9 with error 0.176237
Computed iterate 10 with error 0.141747
Computed iterate 11 with error 0.115870
Computed iterate 12 with error 0.095967
Computed iterate 13 with error 0.080328
Computed iterate 14 with error 0.067820
Computed iterate 15 with error 0.057663
Computed iterate 16 with error 0.049302
Computed iterate 17 with error 0.042340
Computed iterate 18 with error 0.036485
Computed iterate 19 with error 0.031518
Computed iterate 20 with error 0.027273
Computed iterate 21 with error 0.023620
Computed iterate 22 with error 0.020460
Computed iterate 23 with error 0.017712
Computed iterate 24 with error 0.015315
Computed iterate 25 with error 0.013218
Computed iterate 26 with error 0.011381
Computed iterate 27 with error 0.009770
Computed iterate 28 with error 0.008357
Computed iterate 29 with error 0.007121
Computed iterate 30 with error 0.006041
Computed iterate 31 with error 0.005100
Computed iterate 32 with error 0.004283
Computed iterate 33 with error 0.003577
Computed iterate 34 with error 0.002969
Computed iterate 35 with error 0.002450
Computed iterate 36 with error 0.002008
Computed iterate 37 with error 0.001635
Computed iterate 38 with error 0.001324
Computed iterate 39 with error 0.001065
Computed iterate 40 with error 0.000851
Computed iterate 1 with error 8.481343
Computed iterate 2 with error 2.823638
Computed iterate 3 with error 1.407701
Computed iterate 4 with error 0.840600
Computed iterate 5 with error 0.556688
Computed iterate 6 with error 0.394267
Computed iterate 7 with error 0.292661
Computed iterate 8 with error 0.224876
Computed iterate 9 with error 0.177399
Computed iterate 10 with error 0.142866
Computed iterate 11 with error 0.116957
Computed iterate 12 with error 0.097034
Computed iterate 13 with error 0.081381
Computed iterate 14 with error 0.068862
Computed iterate 15 with error 0.058699
Computed iterate 16 with error 0.050336
Computed iterate 17 with error 0.043372
Computed iterate 18 with error 0.037515
Computed iterate 19 with error 0.032547
Computed iterate 20 with error 0.028300
Computed iterate 21 with error 0.024645
Computed iterate 22 with error 0.021480
Computed iterate 23 with error 0.018726
Computed iterate 24 with error 0.016318
Computed iterate 25 with error 0.014208
Computed iterate 26 with error 0.012352
Computed iterate 27 with error 0.010718
Computed iterate 28 with error 0.009278
Computed iterate 29 with error 0.008009
Computed iterate 30 with error 0.006891
Computed iterate 31 with error 0.005908
Computed iterate 32 with error 0.005044
Computed iterate 33 with error 0.004289
Computed iterate 34 with error 0.003629
Computed iterate 35 with error 0.003055
Computed iterate 36 with error 0.002558
Computed iterate 37 with error 0.002130
Computed iterate 38 with error 0.001764
Computed iterate 39 with error 0.001452
Computed iterate 40 with error 0.001189
Computed iterate 41 with error 0.000968
Computed iterate 1 with error 8.496018
Computed iterate 2 with error 2.829052
Computed iterate 3 with error 1.410801
Computed iterate 4 with error 0.842779
Computed iterate 5 with error 0.558411
Computed iterate 6 with error 0.395735
Computed iterate 7 with error 0.293973
Computed iterate 8 with error 0.226087
Computed iterate 9 with error 0.178543
Computed iterate 10 with error 0.143964
Computed iterate 11 with error 0.118021
Computed iterate 12 with error 0.098076
Computed iterate 13 with error 0.082407
Computed iterate 14 with error 0.069875
Computed iterate 15 with error 0.059704
Computed iterate 16 with error 0.051337
Computed iterate 17 with error 0.044370
Computed iterate 18 with error 0.038510
Computed iterate 19 with error 0.033540
Computed iterate 20 with error 0.029291
Computed iterate 21 with error 0.025632
Computed iterate 22 with error 0.022464
Computed iterate 23 with error 0.019704
Computed iterate 24 with error 0.017289
Computed iterate 25 with error 0.015168
Computed iterate 26 with error 0.013299
Computed iterate 27 with error 0.011648
Computed iterate 28 with error 0.010188
Computed iterate 29 with error 0.008894
Computed iterate 30 with error 0.007747
Computed iterate 31 with error 0.006731
Computed iterate 32 with error 0.005831
Computed iterate 33 with error 0.005036
Computed iterate 34 with error 0.004333
Computed iterate 35 with error 0.003714
Computed iterate 36 with error 0.003170
Computed iterate 37 with error 0.002694
Computed iterate 38 with error 0.002278
Computed iterate 39 with error 0.001917
Computed iterate 40 with error 0.001606
Computed iterate 41 with error 0.001338
Computed iterate 42 with error 0.001109
Computed iterate 43 with error 0.000915
Computed iterate 1 with error 8.510688
Computed iterate 2 with error 2.834458
Computed iterate 3 with error 1.413892
Computed iterate 4 with error 0.844948
Computed iterate 5 with error 0.560123
Computed iterate 6 with error 0.397189
Computed iterate 7 with error 0.295270
Computed iterate 8 with error 0.227282
Computed iterate 9 with error 0.179668
Computed iterate 10 with error 0.145041
Computed iterate 11 with error 0.119063
Computed iterate 12 with error 0.099095
Computed iterate 13 with error 0.083407
Computed iterate 14 with error 0.070861
Computed iterate 15 with error 0.060680
Computed iterate 16 with error 0.052306
Computed iterate 17 with error 0.045335
Computed iterate 18 with error 0.039472
Computed iterate 19 with error 0.034497
Computed iterate 20 with error 0.030244
Computed iterate 21 with error 0.026582
Computed iterate 22 with error 0.023410
Computed iterate 23 with error 0.020645
Computed iterate 24 with error 0.018224
Computed iterate 25 with error 0.016095
Computed iterate 26 with error 0.014217
Computed iterate 27 with error 0.012553
Computed iterate 28 with error 0.011078
Computed iterate 29 with error 0.009765
Computed iterate 30 with error 0.008597
Computed iterate 31 with error 0.007556
Computed iterate 32 with error 0.006629
Computed iterate 33 with error 0.005802
Computed iterate 34 with error 0.005066
Computed iterate 35 with error 0.004411
Computed iterate 36 with error 0.003829
Computed iterate 37 with error 0.003312
Computed iterate 38 with error 0.002855
Computed iterate 39 with error 0.002451
Computed iterate 40 with error 0.002096
Computed iterate 41 with error 0.001786
Computed iterate 42 with error 0.001514
Computed iterate 43 with error 0.001279
Computed iterate 44 with error 0.001075
Computed iterate 45 with error 0.000901
Computed iterate 1 with error 8.525352
Computed iterate 2 with error 2.839857
Computed iterate 3 with error 1.416975
Computed iterate 4 with error 0.847107
Computed iterate 5 with error 0.561822
Computed iterate 6 with error 0.398630
Computed iterate 7 with error 0.296551
Computed iterate 8 with error 0.228459
Computed iterate 9 with error 0.180775
Computed iterate 10 with error 0.146097
Computed iterate 11 with error 0.120084
Computed iterate 12 with error 0.100089
Computed iterate 13 with error 0.084381
Computed iterate 14 with error 0.071821
Computed iterate 15 with error 0.061627
Computed iterate 16 with error 0.053246
Computed iterate 17 with error 0.046268
Computed iterate 18 with error 0.040399
Computed iterate 19 with error 0.035420
Computed iterate 20 with error 0.031162
Computed iterate 21 with error 0.027495
Computed iterate 22 with error 0.024318
Computed iterate 23 with error 0.021550
Computed iterate 24 with error 0.019123
Computed iterate 25 with error 0.016988
Computed iterate 26 with error 0.015101
Computed iterate 27 with error 0.013428
Computed iterate 28 with error 0.011941
Computed iterate 29 with error 0.010615
Computed iterate 30 with error 0.009431
Computed iterate 31 with error 0.008372
Computed iterate 32 with error 0.007423
Computed iterate 33 with error 0.006573
Computed iterate 34 with error 0.005811
Computed iterate 35 with error 0.005128
Computed iterate 36 with error 0.004516
Computed iterate 37 with error 0.003968
Computed iterate 38 with error 0.003477
Computed iterate 39 with error 0.003039
Computed iterate 40 with error 0.002648
Computed iterate 41 with error 0.002300
Computed iterate 42 with error 0.001991
Computed iterate 43 with error 0.001717
Computed iterate 44 with error 0.001476
Computed iterate 45 with error 0.001264
Computed iterate 46 with error 0.001079
Computed iterate 47 with error 0.000918
Computed iterate 1 with error 8.540012
Computed iterate 2 with error 2.845250
Computed iterate 3 with error 1.420049
Computed iterate 4 with error 0.849256
Computed iterate 5 with error 0.563511
Computed iterate 6 with error 0.400058
Computed iterate 7 with error 0.297817
Computed iterate 8 with error 0.229620
Computed iterate 9 with error 0.181864
Computed iterate 10 with error 0.147134
Computed iterate 11 with error 0.121083
Computed iterate 12 with error 0.101061
Computed iterate 13 with error 0.085331
Computed iterate 14 with error 0.072754
Computed iterate 15 with error 0.062547
Computed iterate 16 with error 0.054156
Computed iterate 17 with error 0.047170
Computed iterate 18 with error 0.041293
Computed iterate 19 with error 0.036308
Computed iterate 20 with error 0.032045
Computed iterate 21 with error 0.028373
Computed iterate 22 with error 0.025191
Computed iterate 23 with error 0.022417
Computed iterate 24 with error 0.019986
Computed iterate 25 with error 0.017844
Computed iterate 26 with error 0.015951
Computed iterate 27 with error 0.014270
Computed iterate 28 with error 0.012773
Computed iterate 29 with error 0.011437
Computed iterate 30 with error 0.010241
Computed iterate 31 with error 0.009168
Computed iterate 32 with error 0.008204
Computed iterate 33 with error 0.007336
Computed iterate 34 with error 0.006555
Computed iterate 35 with error 0.005850
Computed iterate 36 with error 0.005215
Computed iterate 37 with error 0.004643
Computed iterate 38 with error 0.004126
Computed iterate 39 with error 0.003660
Computed iterate 40 with error 0.003240
Computed iterate 41 with error 0.002862
Computed iterate 42 with error 0.002522
Computed iterate 43 with error 0.002216
Computed iterate 44 with error 0.001943
Computed iterate 45 with error 0.001698
Computed iterate 46 with error 0.001480
Computed iterate 47 with error 0.001286
Computed iterate 48 with error 0.001115
Computed iterate 49 with error 0.000963
Computed iterate 1 with error 8.554666
Computed iterate 2 with error 2.850636
Computed iterate 3 with error 1.423115
Computed iterate 4 with error 0.851395
Computed iterate 5 with error 0.565187
Computed iterate 6 with error 0.401473
Computed iterate 7 with error 0.299068
Computed iterate 8 with error 0.230765
Computed iterate 9 with error 0.182935
Computed iterate 10 with error 0.148151
Computed iterate 11 with error 0.122062
Computed iterate 12 with error 0.102010
Computed iterate 13 with error 0.086256
Computed iterate 14 with error 0.073662
Computed iterate 15 with error 0.063439
Computed iterate 16 with error 0.055039
Computed iterate 17 with error 0.048041
Computed iterate 18 with error 0.042156
Computed iterate 19 with error 0.037164
Computed iterate 20 with error 0.032894
Computed iterate 21 with error 0.029216
Computed iterate 22 with error 0.026028
Computed iterate 23 with error 0.023248
Computed iterate 24 with error 0.020811
Computed iterate 25 with error 0.018664
Computed iterate 26 with error 0.016764
Computed iterate 27 with error 0.015076
Computed iterate 28 with error 0.013571
Computed iterate 29 with error 0.012226
Computed iterate 30 with error 0.011020
Computed iterate 31 with error 0.009937
Computed iterate 32 with error 0.008960
Computed iterate 33 with error 0.008079
Computed iterate 34 with error 0.007283
Computed iterate 35 with error 0.006563
Computed iterate 36 with error 0.005910
Computed iterate 37 with error 0.005319
Computed iterate 38 with error 0.004782
Computed iterate 39 with error 0.004295
Computed iterate 40 with error 0.003853
Computed iterate 41 with error 0.003452
Computed iterate 42 with error 0.003088
Computed iterate 43 with error 0.002757
Computed iterate 44 with error 0.002458
Computed iterate 45 with error 0.002186
Computed iterate 46 with error 0.001941
Computed iterate 47 with error 0.001719
Computed iterate 48 with error 0.001520
Computed iterate 49 with error 0.001340
Computed iterate 50 with error 0.001179
Computed iterate 1 with error 8.569315
Computed iterate 2 with error 2.856015
Computed iterate 3 with error 1.426173
Computed iterate 4 with error 0.853524
Computed iterate 5 with error 0.566853
Computed iterate 6 with error 0.402874
Computed iterate 7 with error 0.300306
Computed iterate 8 with error 0.231894
Computed iterate 9 with error 0.183989
Computed iterate 10 with error 0.149150
Computed iterate 11 with error 0.123021
Computed iterate 12 with error 0.102937
Computed iterate 13 with error 0.087159
Computed iterate 14 with error 0.074545
Computed iterate 15 with error 0.064308
Computed iterate 16 with error 0.055891
Computed iterate 17 with error 0.048883
Computed iterate 18 with error 0.042989
Computed iterate 19 with error 0.037988
Computed iterate 20 with error 0.033711
Computed iterate 21 with error 0.030025
Computed iterate 22 with error 0.026830
Computed iterate 23 with error 0.024043
Computed iterate 24 with error 0.021602
Computed iterate 25 with error 0.019447
Computed iterate 26 with error 0.017540
Computed iterate 27 with error 0.015845
Computed iterate 28 with error 0.014333
Computed iterate 29 with error 0.012980
Computed iterate 30 with error 0.011765
Computed iterate 31 with error 0.010673
Computed iterate 32 with error 0.009687
Computed iterate 33 with error 0.008795
Computed iterate 34 with error 0.007988
Computed iterate 35 with error 0.007255
Computed iterate 36 with error 0.006589
Computed iterate 37 with error 0.005984
Computed iterate 38 with error 0.005432
Computed iterate 39 with error 0.004929
Computed iterate 40 with error 0.004470
Computed iterate 41 with error 0.004051
Computed iterate 42 with error 0.003669
Computed iterate 43 with error 0.003319
Computed iterate 44 with error 0.003000
Computed iterate 45 with error 0.002708
Computed iterate 46 with error 0.002441
Computed iterate 47 with error 0.002198
Computed iterate 48 with error 0.001975
Computed iterate 49 with error 0.001773
Computed iterate 50 with error 0.001588
Computed iterate 1 with error 8.583959
Computed iterate 2 with error 2.861388
Computed iterate 3 with error 1.429223
Computed iterate 4 with error 0.855643
Computed iterate 5 with error 0.568507
Computed iterate 6 with error 0.404264
Computed iterate 7 with error 0.301530
Computed iterate 8 with error 0.233007
Computed iterate 9 with error 0.185026
Computed iterate 10 with error 0.150130
Computed iterate 11 with error 0.123961
Computed iterate 12 with error 0.103842
Computed iterate 13 with error 0.088038
Computed iterate 14 with error 0.075404
Computed iterate 15 with error 0.065151
Computed iterate 16 with error 0.056718
Computed iterate 17 with error 0.049697
Computed iterate 18 with error 0.043792
Computed iterate 19 with error 0.038782
Computed iterate 20 with error 0.034495
Computed iterate 21 with error 0.030802
Computed iterate 22 with error 0.027599
Computed iterate 23 with error 0.024806
Computed iterate 24 with error 0.022355
Computed iterate 25 with error 0.020194
Computed iterate 26 with error 0.018279
Computed iterate 27 with error 0.016577
Computed iterate 28 with error 0.015058
Computed iterate 29 with error 0.013697
Computed iterate 30 with error 0.012475
Computed iterate 31 with error 0.011374
Computed iterate 32 with error 0.010379
Computed iterate 33 with error 0.009479
Computed iterate 34 with error 0.008662
Computed iterate 35 with error 0.007919
Computed iterate 36 with error 0.007243
Computed iterate 37 with error 0.006626
Computed iterate 38 with error 0.006063
Computed iterate 39 with error 0.005547
Computed iterate 40 with error 0.005076
Computed iterate 41 with error 0.004643
Computed iterate 42 with error 0.004247
Computed iterate 43 with error 0.003883
Computed iterate 44 with error 0.003549
Computed iterate 45 with error 0.003241
Computed iterate 46 with error 0.002959
Computed iterate 47 with error 0.002699
Computed iterate 48 with error 0.002460
Computed iterate 49 with error 0.002240
Computed iterate 50 with error 0.002037
Computed iterate 1 with error 8.598598
Computed iterate 2 with error 2.866754
Computed iterate 3 with error 1.432265
Computed iterate 4 with error 0.857753
Computed iterate 5 with error 0.570151
Computed iterate 6 with error 0.405640
Computed iterate 7 with error 0.302740
Computed iterate 8 with error 0.234105
Computed iterate 9 with error 0.186047
Computed iterate 10 with error 0.151092
Computed iterate 11 with error 0.124881
Computed iterate 12 with error 0.104727
Computed iterate 13 with error 0.088896
Computed iterate 14 with error 0.076240
Computed iterate 15 with error 0.065969
Computed iterate 16 with error 0.057519
Computed iterate 17 with error 0.050484
Computed iterate 18 with error 0.044567
Computed iterate 19 with error 0.039546
Computed iterate 20 with error 0.035250
Computed iterate 21 with error 0.031547
Computed iterate 22 with error 0.028336
Computed iterate 23 with error 0.025534
Computed iterate 24 with error 0.023074
Computed iterate 25 with error 0.020905
Computed iterate 26 with error 0.018983
Computed iterate 27 with error 0.017273
Computed iterate 28 with error 0.015746
Computed iterate 29 with error 0.014378
Computed iterate 30 with error 0.013148
Computed iterate 31 with error 0.012039
Computed iterate 32 with error 0.011036
Computed iterate 33 with error 0.010128
Computed iterate 34 with error 0.009302
Computed iterate 35 with error 0.008551
Computed iterate 36 with error 0.007866
Computed iterate 37 with error 0.007240
Computed iterate 38 with error 0.006666
Computed iterate 39 with error 0.006141
Computed iterate 40 with error 0.005659
Computed iterate 41 with error 0.005216
Computed iterate 42 with error 0.004808
Computed iterate 43 with error 0.004433
Computed iterate 44 with error 0.004087
Computed iterate 45 with error 0.003768
Computed iterate 46 with error 0.003474
Computed iterate 47 with error 0.003201
Computed iterate 48 with error 0.002950
Computed iterate 49 with error 0.002717
Computed iterate 50 with error 0.002501
Computed iterate 1 with error 8.613231
Computed iterate 2 with error 2.872113
Computed iterate 3 with error 1.435298
Computed iterate 4 with error 0.859853
Computed iterate 5 with error 0.571784
Computed iterate 6 with error 0.407005
Computed iterate 7 with error 0.303937
Computed iterate 8 with error 0.235188
Computed iterate 9 with error 0.187051
Computed iterate 10 with error 0.152037
Computed iterate 11 with error 0.125782
Computed iterate 12 with error 0.105591
Computed iterate 13 with error 0.089733
Computed iterate 14 with error 0.077054
Computed iterate 15 with error 0.066763
Computed iterate 16 with error 0.058294
Computed iterate 17 with error 0.051245
Computed iterate 18 with error 0.045315
Computed iterate 19 with error 0.040282
Computed iterate 20 with error 0.035975
Computed iterate 21 with error 0.032263
Computed iterate 22 with error 0.029042
Computed iterate 23 with error 0.026229
Computed iterate 24 with error 0.023761
Computed iterate 25 with error 0.021583
Computed iterate 26 with error 0.019652
Computed iterate 27 with error 0.017934
Computed iterate 28 with error 0.016399
Computed iterate 29 with error 0.015023
Computed iterate 30 with error 0.013785
Computed iterate 31 with error 0.012668
Computed iterate 32 with error 0.011658
Computed iterate 33 with error 0.010741
Computed iterate 34 with error 0.009907
Computed iterate 35 with error 0.009148
Computed iterate 36 with error 0.008454
Computed iterate 37 with error 0.007820
Computed iterate 38 with error 0.007238
Computed iterate 39 with error 0.006704
Computed iterate 40 with error 0.006213
Computed iterate 41 with error 0.005761
Computed iterate 42 with error 0.005344
Computed iterate 43 with error 0.004960
Computed iterate 44 with error 0.004605
Computed iterate 45 with error 0.004276
Computed iterate 46 with error 0.003972
Computed iterate 47 with error 0.003689
Computed iterate 48 with error 0.003427
Computed iterate 49 with error 0.003184
Computed iterate 50 with error 0.002958
Computed iterate 1 with error 8.627860
Computed iterate 2 with error 2.877466
Computed iterate 3 with error 1.438324
Computed iterate 4 with error 0.861944
Computed iterate 5 with error 0.573406
Computed iterate 6 with error 0.408357
Computed iterate 7 with error 0.305120
Computed iterate 8 with error 0.236257
Computed iterate 9 with error 0.188038
Computed iterate 10 with error 0.152965
Computed iterate 11 with error 0.126664
Computed iterate 12 with error 0.106436
Computed iterate 13 with error 0.090548
Computed iterate 14 with error 0.077846
Computed iterate 15 with error 0.067533
Computed iterate 16 with error 0.059046
Computed iterate 17 with error 0.051980
Computed iterate 18 with error 0.046036
Computed iterate 19 with error 0.040990
Computed iterate 20 with error 0.036672
Computed iterate 21 with error 0.032948
Computed iterate 22 with error 0.029716
Computed iterate 23 with error 0.026894
Computed iterate 24 with error 0.024415
Computed iterate 25 with error 0.022228
Computed iterate 26 with error 0.020288
Computed iterate 27 with error 0.018562
Computed iterate 28 with error 0.017018
Computed iterate 29 with error 0.015633
Computed iterate 30 with error 0.014387
Computed iterate 31 with error 0.013262
Computed iterate 32 with error 0.012243
Computed iterate 33 with error 0.011318
Computed iterate 34 with error 0.010477
Computed iterate 35 with error 0.009709
Computed iterate 36 with error 0.009007
Computed iterate 37 with error 0.008365
Computed iterate 38 with error 0.007775
Computed iterate 39 with error 0.007233
Computed iterate 40 with error 0.006734
Computed iterate 41 with error 0.006274
Computed iterate 42 with error 0.005849
Computed iterate 43 with error 0.005455
Computed iterate 44 with error 0.005091
Computed iterate 45 with error 0.004754
Computed iterate 46 with error 0.004441
Computed iterate 47 with error 0.004150
Computed iterate 48 with error 0.003879
Computed iterate 49 with error 0.003628
Computed iterate 50 with error 0.003393
Computed iterate 1 with error 8.642484
Computed iterate 2 with error 2.882813
Computed iterate 3 with error 1.441342
Computed iterate 4 with error 0.864026
Computed iterate 5 with error 0.575017
Computed iterate 6 with error 0.409698
Computed iterate 7 with error 0.306289
Computed iterate 8 with error 0.237311
Computed iterate 9 with error 0.189011
Computed iterate 10 with error 0.153876
Computed iterate 11 with error 0.127528
Computed iterate 12 with error 0.107262
Computed iterate 13 with error 0.091344
Computed iterate 14 with error 0.078616
Computed iterate 15 with error 0.068280
Computed iterate 16 with error 0.059774
Computed iterate 17 with error 0.052691
Computed iterate 18 with error 0.046732
Computed iterate 19 with error 0.041673
Computed iterate 20 with error 0.037341
Computed iterate 21 with error 0.033605
Computed iterate 22 with error 0.030362
Computed iterate 23 with error 0.027528
Computed iterate 24 with error 0.025039
Computed iterate 25 with error 0.022842
Computed iterate 26 with error 0.020893
Computed iterate 27 with error 0.019156
Computed iterate 28 with error 0.017604
Computed iterate 29 with error 0.016210
Computed iterate 30 with error 0.014955
Computed iterate 31 with error 0.013821
Computed iterate 32 with error 0.012794
Computed iterate 33 with error 0.011861
Computed iterate 34 with error 0.011011
Computed iterate 35 with error 0.010235
Computed iterate 36 with error 0.009525
Computed iterate 37 with error 0.008874
Computed iterate 38 with error 0.008277
Computed iterate 39 with error 0.007726
Computed iterate 40 with error 0.007219
Computed iterate 41 with error 0.006751
Computed iterate 42 with error 0.006318
Computed iterate 43 with error 0.005916
Computed iterate 44 with error 0.005544
Computed iterate 45 with error 0.005199
Computed iterate 46 with error 0.004878
Computed iterate 47 with error 0.004579
Computed iterate 48 with error 0.004301
Computed iterate 49 with error 0.004041
Computed iterate 50 with error 0.003799
Computed iterate 1 with error 8.657102
Computed iterate 2 with error 2.888153
Computed iterate 3 with error 1.444352
Computed iterate 4 with error 0.866099
Computed iterate 5 with error 0.576618
Computed iterate 6 with error 0.411027
Computed iterate 7 with error 0.307446
Computed iterate 8 with error 0.238351
Computed iterate 9 with error 0.189967
Computed iterate 10 with error 0.154771
Computed iterate 11 with error 0.128374
Computed iterate 12 with error 0.108069
Computed iterate 13 with error 0.092120
Computed iterate 14 with error 0.079365
Computed iterate 15 with error 0.069006
Computed iterate 16 with error 0.060480
Computed iterate 17 with error 0.053379
Computed iterate 18 with error 0.047404
Computed iterate 19 with error 0.042329
Computed iterate 20 with error 0.037984
Computed iterate 21 with error 0.034235
Computed iterate 22 with error 0.030979
Computed iterate 23 with error 0.028134
Computed iterate 24 with error 0.025634
Computed iterate 25 with error 0.023426
Computed iterate 26 with error 0.021466
Computed iterate 27 with error 0.019720
Computed iterate 28 with error 0.018158
Computed iterate 29 with error 0.016755
Computed iterate 30 with error 0.015491
Computed iterate 31 with error 0.014348
Computed iterate 32 with error 0.013312
Computed iterate 33 with error 0.012370
Computed iterate 34 with error 0.011511
Computed iterate 35 with error 0.010727
Computed iterate 36 with error 0.010009
Computed iterate 37 with error 0.009349
Computed iterate 38 with error 0.008743
Computed iterate 39 with error 0.008185
Computed iterate 40 with error 0.007669
Computed iterate 41 with error 0.007193
Computed iterate 42 with error 0.006752
Computed iterate 43 with error 0.006343
Computed iterate 44 with error 0.005963
Computed iterate 45 with error 0.005610
Computed iterate 46 with error 0.005282
Computed iterate 47 with error 0.004975
Computed iterate 48 with error 0.004689
Computed iterate 49 with error 0.004423
Computed iterate 50 with error 0.004173
Computed iterate 1 with error 8.671716
Computed iterate 2 with error 2.893486
Computed iterate 3 with error 1.447354
Computed iterate 4 with error 0.868163
Computed iterate 5 with error 0.578209
Computed iterate 6 with error 0.412344
Computed iterate 7 with error 0.308591
Computed iterate 8 with error 0.239378
Computed iterate 9 with error 0.190909
Computed iterate 10 with error 0.155650
Computed iterate 11 with error 0.129203
Computed iterate 12 with error 0.108859
Computed iterate 13 with error 0.092877
Computed iterate 14 with error 0.080094
Computed iterate 15 with error 0.069711
Computed iterate 16 with error 0.061163
Computed iterate 17 with error 0.054044
Computed iterate 18 with error 0.048051
Computed iterate 19 with error 0.042961
Computed iterate 20 with error 0.038601
Computed iterate 21 with error 0.034839
Computed iterate 22 with error 0.031570
Computed iterate 23 with error 0.028713
Computed iterate 24 with error 0.026201
Computed iterate 25 with error 0.023981
Computed iterate 26 with error 0.022011
Computed iterate 27 with error 0.020255
Computed iterate 28 with error 0.018682
Computed iterate 29 with error 0.017269
Computed iterate 30 with error 0.015995
Computed iterate 31 with error 0.014843
Computed iterate 32 with error 0.013798
Computed iterate 33 with error 0.012847
Computed iterate 34 with error 0.011979
Computed iterate 35 with error 0.011186
Computed iterate 36 with error 0.010459
Computed iterate 37 with error 0.009791
Computed iterate 38 with error 0.009177
Computed iterate 39 with error 0.008610
Computed iterate 40 with error 0.008086
Computed iterate 41 with error 0.007602
Computed iterate 42 with error 0.007153
Computed iterate 43 with error 0.006736
Computed iterate 44 with error 0.006349
Computed iterate 45 with error 0.005988
Computed iterate 46 with error 0.005652
Computed iterate 47 with error 0.005338
Computed iterate 48 with error 0.005045
Computed iterate 49 with error 0.004771
Computed iterate 50 with error 0.004514
Computed iterate 1 with error 9.299086
Computed iterate 2 with error 3.089878
Computed iterate 3 with error 1.535959
Computed iterate 4 with error 0.913550
Computed iterate 5 with error 0.601872
Computed iterate 6 with error 0.423486
Computed iterate 7 with error 0.311808
Computed iterate 8 with error 0.237226
Computed iterate 9 with error 0.184920
Computed iterate 10 with error 0.146801
Computed iterate 11 with error 0.118148
Computed iterate 12 with error 0.096050
Computed iterate 13 with error 0.078640
Computed iterate 14 with error 0.064667
Computed iterate 15 with error 0.053278
Computed iterate 16 with error 0.043877
Computed iterate 17 with error 0.036038
Computed iterate 18 with error 0.029454
Computed iterate 19 with error 0.023899
Computed iterate 20 with error 0.019206
Computed iterate 21 with error 0.015253
Computed iterate 22 with error 0.011948
Computed iterate 23 with error 0.009217
Computed iterate 24 with error 0.006989
Computed iterate 25 with error 0.005205
Computed iterate 26 with error 0.003804
Computed iterate 27 with error 0.002730
Computed iterate 28 with error 0.001925
Computed iterate 29 with error 0.001337
Computed iterate 30 with error 0.000916
Computed iterate 1 with error 9.315519
Computed iterate 2 with error 3.095982
Computed iterate 3 with error 1.539499
Computed iterate 4 with error 0.916082
Computed iterate 5 with error 0.603917
Computed iterate 6 with error 0.425267
Computed iterate 7 with error 0.313438
Computed iterate 8 with error 0.238767
Computed iterate 9 with error 0.186410
Computed iterate 10 with error 0.148263
Computed iterate 11 with error 0.119599
Computed iterate 12 with error 0.097500
Computed iterate 13 with error 0.080097
Computed iterate 14 with error 0.066139
Computed iterate 15 with error 0.054766
Computed iterate 16 with error 0.045380
Computed iterate 17 with error 0.037553
Computed iterate 18 with error 0.030970
Computed iterate 19 with error 0.025404
Computed iterate 20 with error 0.020684
Computed iterate 21 with error 0.016683
Computed iterate 22 with error 0.013305
Computed iterate 23 with error 0.010477
Computed iterate 24 with error 0.008135
Computed iterate 25 with error 0.006220
Computed iterate 26 with error 0.004679
Computed iterate 27 with error 0.003460
Computed iterate 28 with error 0.002517
Computed iterate 29 with error 0.001803
Computed iterate 30 with error 0.001275
Computed iterate 31 with error 0.000891
Computed iterate 1 with error 9.331941
Computed iterate 2 with error 3.102073
Computed iterate 3 with error 1.543023
Computed iterate 4 with error 0.918596
Computed iterate 5 with error 0.605942
Computed iterate 6 with error 0.427026
Computed iterate 7 with error 0.315042
Computed iterate 8 with error 0.240279
Computed iterate 9 with error 0.187867
Computed iterate 10 with error 0.149691
Computed iterate 11 with error 0.121012
Computed iterate 12 with error 0.098910
Computed iterate 13 with error 0.081512
Computed iterate 14 with error 0.067564
Computed iterate 15 with error 0.056205
Computed iterate 16 with error 0.046833
Computed iterate 17 with error 0.039016
Computed iterate 18 with error 0.032439
Computed iterate 19 with error 0.026869
Computed iterate 20 with error 0.022131
Computed iterate 21 with error 0.018095
Computed iterate 22 with error 0.014662
Computed iterate 23 with error 0.011758
Computed iterate 24 with error 0.009321
Computed iterate 25 with error 0.007294
Computed iterate 26 with error 0.005629
Computed iterate 27 with error 0.004280
Computed iterate 28 with error 0.003205
Computed iterate 29 with error 0.002367
Computed iterate 30 with error 0.001726
Computed iterate 31 with error 0.001244
Computed iterate 32 with error 0.000887
Computed iterate 1 with error 9.348352
Computed iterate 2 with error 3.108150
Computed iterate 3 with error 1.546532
Computed iterate 4 with error 0.921093
Computed iterate 5 with error 0.607947
Computed iterate 6 with error 0.428761
Computed iterate 7 with error 0.316621
Computed iterate 8 with error 0.241764
Computed iterate 9 with error 0.189295
Computed iterate 10 with error 0.151085
Computed iterate 11 with error 0.122389
Computed iterate 12 with error 0.100281
Computed iterate 13 with error 0.082884
Computed iterate 14 with error 0.068944
Computed iterate 15 with error 0.057596
Computed iterate 16 with error 0.048236
Computed iterate 17 with error 0.040430
Computed iterate 18 with error 0.033860
Computed iterate 19 with error 0.028288
Computed iterate 20 with error 0.023540
Computed iterate 21 with error 0.019482
Computed iterate 22 with error 0.016010
Computed iterate 23 with error 0.013047
Computed iterate 24 with error 0.010532
Computed iterate 25 with error 0.008412
Computed iterate 26 with error 0.006641
Computed iterate 27 with error 0.005178
Computed iterate 28 with error 0.003985
Computed iterate 29 with error 0.003028
Computed iterate 30 with error 0.002271
Computed iterate 31 with error 0.001682
Computed iterate 32 with error 0.001233
Computed iterate 33 with error 0.000896
Computed iterate 1 with error 9.364751
Computed iterate 2 with error 3.114214
Computed iterate 3 with error 1.550026
Computed iterate 4 with error 0.923572
Computed iterate 5 with error 0.609931
Computed iterate 6 with error 0.430475
Computed iterate 7 with error 0.318175
Computed iterate 8 with error 0.243221
Computed iterate 9 with error 0.190693
Computed iterate 10 with error 0.152447
Computed iterate 11 with error 0.123730
Computed iterate 12 with error 0.101614
Computed iterate 13 with error 0.084215
Computed iterate 14 with error 0.070279
Computed iterate 15 with error 0.058940
Computed iterate 16 with error 0.049590
Computed iterate 17 with error 0.041794
Computed iterate 18 with error 0.035230
Computed iterate 19 with error 0.029662
Computed iterate 20 with error 0.024908
Computed iterate 21 with error 0.020834
Computed iterate 22 with error 0.017334
Computed iterate 23 with error 0.014329
Computed iterate 24 with error 0.011754
Computed iterate 25 with error 0.009560
Computed iterate 26 with error 0.007702
Computed iterate 27 with error 0.006141
Computed iterate 28 with error 0.004842
Computed iterate 29 with error 0.003773
Computed iterate 30 with error 0.002906
Computed iterate 31 with error 0.002212
Computed iterate 32 with error 0.001666
Computed iterate 33 with error 0.001243
Computed iterate 34 with error 0.000920
Computed iterate 1 with error 9.381140
Computed iterate 2 with error 3.120265
Computed iterate 3 with error 1.553504
Computed iterate 4 with error 0.926034
Computed iterate 5 with error 0.611897
Computed iterate 6 with error 0.432167
Computed iterate 7 with error 0.319706
Computed iterate 8 with error 0.244652
Computed iterate 9 with error 0.192062
Computed iterate 10 with error 0.153777
Computed iterate 11 with error 0.125037
Computed iterate 12 with error 0.102910
Computed iterate 13 with error 0.085506
Computed iterate 14 with error 0.071572
Computed iterate 15 with error 0.060239
Computed iterate 16 with error 0.050897
Computed iterate 17 with error 0.043109
Computed iterate 18 with error 0.036552
Computed iterate 19 with error 0.030987
Computed iterate 20 with error 0.026232
Computed iterate 21 with error 0.022148
Computed iterate 22 with error 0.018630
Computed iterate 23 with error 0.015594
Computed iterate 24 with error 0.012975
Computed iterate 25 with error 0.010722
Computed iterate 26 with error 0.008793
Computed iterate 27 with error 0.007151
Computed iterate 28 with error 0.005761
Computed iterate 29 with error 0.004595
Computed iterate 30 with error 0.003628
Computed iterate 31 with error 0.002834
Computed iterate 32 with error 0.002192
Computed iterate 33 with error 0.001678
Computed iterate 34 with error 0.001273
Computed iterate 35 with error 0.000958
Computed iterate 1 with error 9.397517
Computed iterate 2 with error 3.126304
Computed iterate 3 with error 1.556968
Computed iterate 4 with error 0.928479
Computed iterate 5 with error 0.613843
Computed iterate 6 with error 0.433837
Computed iterate 7 with error 0.321213
Computed iterate 8 with error 0.246056
Computed iterate 9 with error 0.193402
Computed iterate 10 with error 0.155076
Computed iterate 11 with error 0.126312
Computed iterate 12 with error 0.104170
Computed iterate 13 with error 0.086759
Computed iterate 14 with error 0.072823
Computed iterate 15 with error 0.061494
Computed iterate 16 with error 0.052158
Computed iterate 17 with error 0.044376
Computed iterate 18 with error 0.037825
Computed iterate 19 with error 0.032264
Computed iterate 20 with error 0.027509
Computed iterate 21 with error 0.023420
Computed iterate 22 with error 0.019889
Computed iterate 23 with error 0.016832
Computed iterate 24 with error 0.014182
Computed iterate 25 with error 0.011886
Computed iterate 26 with error 0.009901
Computed iterate 27 with error 0.008193
Computed iterate 28 with error 0.006728
Computed iterate 29 with error 0.005481
Computed iterate 30 with error 0.004426
Computed iterate 31 with error 0.003541
Computed iterate 32 with error 0.002806
Computed iterate 33 with error 0.002204
Computed iterate 34 with error 0.001715
Computed iterate 35 with error 0.001324
Computed iterate 36 with error 0.001014
Computed iterate 37 with error 0.000771
Computed iterate 1 with error 9.413884
Computed iterate 2 with error 3.132329
Computed iterate 3 with error 1.560416
Computed iterate 4 with error 0.930907
Computed iterate 5 with error 0.615770
Computed iterate 6 with error 0.435487
Computed iterate 7 with error 0.322696
Computed iterate 8 with error 0.247436
Computed iterate 9 with error 0.194714
Computed iterate 10 with error 0.156345
Computed iterate 11 with error 0.127553
Computed iterate 12 with error 0.105394
Computed iterate 13 with error 0.087974
Computed iterate 14 with error 0.074035
Computed iterate 15 with error 0.062706
Computed iterate 16 with error 0.053374
Computed iterate 17 with error 0.045596
Computed iterate 18 with error 0.039049
Computed iterate 19 with error 0.033492
Computed iterate 20 with error 0.028739
Computed iterate 21 with error 0.024647
Computed iterate 22 with error 0.021109
Computed iterate 23 with error 0.018038
Computed iterate 24 with error 0.015366
Computed iterate 25 with error 0.013039
Computed iterate 26 with error 0.011012
Computed iterate 27 with error 0.009252
Computed iterate 28 with error 0.007727
Computed iterate 29 with error 0.006412
Computed iterate 30 with error 0.005283
Computed iterate 31 with error 0.004319
Computed iterate 32 with error 0.003503
Computed iterate 33 with error 0.002817
Computed iterate 34 with error 0.002247
Computed iterate 35 with error 0.001778
Computed iterate 36 with error 0.001395
Computed iterate 37 with error 0.001087
Computed iterate 38 with error 0.000841
Computed iterate 1 with error 9.430240
Computed iterate 2 with error 3.138341
Computed iterate 3 with error 1.563851
Computed iterate 4 with error 0.933318
Computed iterate 5 with error 0.617679
Computed iterate 6 with error 0.437115
Computed iterate 7 with error 0.324157
Computed iterate 8 with error 0.248790
Computed iterate 9 with error 0.195999
Computed iterate 10 with error 0.157585
Computed iterate 11 with error 0.128763
Computed iterate 12 with error 0.106585
Computed iterate 13 with error 0.089153
Computed iterate 14 with error 0.075207
Computed iterate 15 with error 0.063877
Computed iterate 16 with error 0.054545
Computed iterate 17 with error 0.046770
Computed iterate 18 with error 0.040227
Computed iterate 19 with error 0.034672
Computed iterate 20 with error 0.029921
Computed iterate 21 with error 0.025829
Computed iterate 22 with error 0.022286
Computed iterate 23 with error 0.019205
Computed iterate 24 with error 0.016518
Computed iterate 25 with error 0.014169
Computed iterate 26 with error 0.012112
Computed iterate 27 with error 0.010314
Computed iterate 28 with error 0.008743
Computed iterate 29 with error 0.007374
Computed iterate 30 with error 0.006184
Computed iterate 31 with error 0.005154
Computed iterate 32 with error 0.004267
Computed iterate 33 with error 0.003508
Computed iterate 34 with error 0.002863
Computed iterate 35 with error 0.002320
Computed iterate 36 with error 0.001866
Computed iterate 37 with error 0.001490
Computed iterate 38 with error 0.001181
Computed iterate 39 with error 0.000930
Computed iterate 1 with error 9.446585
Computed iterate 2 with error 3.144341
Computed iterate 3 with error 1.567270
Computed iterate 4 with error 0.935713
Computed iterate 5 with error 0.619569
Computed iterate 6 with error 0.438724
Computed iterate 7 with error 0.325595
Computed iterate 8 with error 0.250121
Computed iterate 9 with error 0.197257
Computed iterate 10 with error 0.158797
Computed iterate 11 with error 0.129941
Computed iterate 12 with error 0.107742
Computed iterate 13 with error 0.090297
Computed iterate 14 with error 0.076343
Computed iterate 15 with error 0.065008
Computed iterate 16 with error 0.055675
Computed iterate 17 with error 0.047900
Computed iterate 18 with error 0.041359
Computed iterate 19 with error 0.035806
Computed iterate 20 with error 0.031056
Computed iterate 21 with error 0.026964
Computed iterate 22 with error 0.023418
Computed iterate 23 with error 0.020331
Computed iterate 24 with error 0.017634
Computed iterate 25 with error 0.015269
Computed iterate 26 with error 0.013192
Computed iterate 27 with error 0.011365
Computed iterate 28 with error 0.009759
Computed iterate 29 with error 0.008348
Computed iterate 30 with error 0.007110
Computed iterate 31 with error 0.006027
Computed iterate 32 with error 0.005083
Computed iterate 33 with error 0.004262
Computed iterate 34 with error 0.003552
Computed iterate 35 with error 0.002941
Computed iterate 36 with error 0.002420
Computed iterate 37 with error 0.001977
Computed iterate 38 with error 0.001606
Computed iterate 39 with error 0.001296
Computed iterate 40 with error 0.001039
Computed iterate 41 with error 0.000828
Computed iterate 1 with error 9.462919
Computed iterate 2 with error 3.150329
Computed iterate 3 with error 1.570675
Computed iterate 4 with error 0.938092
Computed iterate 5 with error 0.621441
Computed iterate 6 with error 0.440312
Computed iterate 7 with error 0.327011
Computed iterate 8 with error 0.251427
Computed iterate 9 with error 0.198489
Computed iterate 10 with error 0.159981
Computed iterate 11 with error 0.131089
Computed iterate 12 with error 0.108868
Computed iterate 13 with error 0.091407
Computed iterate 14 with error 0.077441
Computed iterate 15 with error 0.066100
Computed iterate 16 with error 0.056764
Computed iterate 17 with error 0.048988
Computed iterate 18 with error 0.042446
Computed iterate 19 with error 0.036894
Computed iterate 20 with error 0.032144
Computed iterate 21 with error 0.028052
Computed iterate 22 with error 0.024505
Computed iterate 23 with error 0.021413
Computed iterate 24 with error 0.018708
Computed iterate 25 with error 0.016332
Computed iterate 26 with error 0.014240
Computed iterate 27 with error 0.012393
Computed iterate 28 with error 0.010762
Computed iterate 29 with error 0.009320
Computed iterate 30 with error 0.008046
Computed iterate 31 with error 0.006922
Computed iterate 32 with error 0.005931
Computed iterate 33 with error 0.005060
Computed iterate 34 with error 0.004296
Computed iterate 35 with error 0.003629
Computed iterate 36 with error 0.003048
Computed iterate 37 with error 0.002546
Computed iterate 38 with error 0.002115
Computed iterate 39 with error 0.001746
Computed iterate 40 with error 0.001434
Computed iterate 41 with error 0.001170
Computed iterate 42 with error 0.000950
Computed iterate 1 with error 9.479242
Computed iterate 2 with error 3.156303
Computed iterate 3 with error 1.574066
Computed iterate 4 with error 0.940455
Computed iterate 5 with error 0.623295
Computed iterate 6 with error 0.441881
Computed iterate 7 with error 0.328406
Computed iterate 8 with error 0.252710
Computed iterate 9 with error 0.199696
Computed iterate 10 with error 0.161137
Computed iterate 11 with error 0.132208
Computed iterate 12 with error 0.109962
Computed iterate 13 with error 0.092484
Computed iterate 14 with error 0.078504
Computed iterate 15 with error 0.067154
Computed iterate 16 with error 0.057814
Computed iterate 17 with error 0.050035
Computed iterate 18 with error 0.043491
Computed iterate 19 with error 0.037937
Computed iterate 20 with error 0.033186
Computed iterate 21 with error 0.029093
Computed iterate 22 with error 0.025544
Computed iterate 23 with error 0.022450
Computed iterate 24 with error 0.019740
Computed iterate 25 with error 0.017356
Computed iterate 26 with error 0.015253
Computed iterate 27 with error 0.013392
Computed iterate 28 with error 0.011742
Computed iterate 29 with error 0.010278
Computed iterate 30 with error 0.008977
Computed iterate 31 with error 0.007821
Computed iterate 32 with error 0.006795
Computed iterate 33 with error 0.005884
Computed iterate 34 with error 0.005078
Computed iterate 35 with error 0.004365
Computed iterate 36 with error 0.003735
Computed iterate 37 with error 0.003182
Computed iterate 38 with error 0.002698
Computed iterate 39 with error 0.002277
Computed iterate 40 with error 0.001911
Computed iterate 41 with error 0.001596
Computed iterate 42 with error 0.001326
Computed iterate 43 with error 0.001096
Computed iterate 44 with error 0.000901
Computed iterate 1 with error 9.495555
Computed iterate 2 with error 3.162266
Computed iterate 3 with error 1.577443
Computed iterate 4 with error 0.942802
Computed iterate 5 with error 0.625132
Computed iterate 6 with error 0.443430
Computed iterate 7 with error 0.329780
Computed iterate 8 with error 0.253970
Computed iterate 9 with error 0.200879
Computed iterate 10 with error 0.162266
Computed iterate 11 with error 0.133298
Computed iterate 12 with error 0.111026
Computed iterate 13 with error 0.093528
Computed iterate 14 with error 0.079533
Computed iterate 15 with error 0.068173
Computed iterate 16 with error 0.058826
Computed iterate 17 with error 0.051043
Computed iterate 18 with error 0.044495
Computed iterate 19 with error 0.038938
Computed iterate 20 with error 0.034184
Computed iterate 21 with error 0.030089
Computed iterate 22 with error 0.026538
Computed iterate 23 with error 0.023441
Computed iterate 24 with error 0.020726
Computed iterate 25 with error 0.018337
Computed iterate 26 with error 0.016226
Computed iterate 27 with error 0.014354
Computed iterate 28 with error 0.012692
Computed iterate 29 with error 0.011211
Computed iterate 30 with error 0.009890
Computed iterate 31 with error 0.008711
Computed iterate 32 with error 0.007659
Computed iterate 33 with error 0.006718
Computed iterate 34 with error 0.005879
Computed iterate 35 with error 0.005130
Computed iterate 36 with error 0.004462
Computed iterate 37 with error 0.003868
Computed iterate 38 with error 0.003340
Computed iterate 39 with error 0.002874
Computed iterate 40 with error 0.002462
Computed iterate 41 with error 0.002100
Computed iterate 42 with error 0.001783
Computed iterate 43 with error 0.001508
Computed iterate 44 with error 0.001269
Computed iterate 45 with error 0.001063
Computed iterate 46 with error 0.000886
Computed iterate 1 with error 9.511857
Computed iterate 2 with error 3.168216
Computed iterate 3 with error 1.580806
Computed iterate 4 with error 0.945134
Computed iterate 5 with error 0.626951
Computed iterate 6 with error 0.444960
Computed iterate 7 with error 0.331133
Computed iterate 8 with error 0.255207
Computed iterate 9 with error 0.202037
Computed iterate 10 with error 0.163370
Computed iterate 11 with error 0.134361
Computed iterate 12 with error 0.112061
Computed iterate 13 with error 0.094541
Computed iterate 14 with error 0.080529
Computed iterate 15 with error 0.069156
Computed iterate 16 with error 0.059802
Computed iterate 17 with error 0.052012
Computed iterate 18 with error 0.045459
Computed iterate 19 with error 0.039897
Computed iterate 20 with error 0.035139
Computed iterate 21 with error 0.031040
Computed iterate 22 with error 0.027487
Computed iterate 23 with error 0.024387
Computed iterate 24 with error 0.021668
Computed iterate 25 with error 0.019274
Computed iterate 26 with error 0.017156
Computed iterate 27 with error 0.015277
Computed iterate 28 with error 0.013605
Computed iterate 29 with error 0.012112
Computed iterate 30 with error 0.010777
Computed iterate 31 with error 0.009581
Computed iterate 32 with error 0.008509
Computed iterate 33 with error 0.007547
Computed iterate 34 with error 0.006682
Computed iterate 35 with error 0.005906
Computed iterate 36 with error 0.005209
Computed iterate 37 with error 0.004583
Computed iterate 38 with error 0.004021
Computed iterate 39 with error 0.003519
Computed iterate 40 with error 0.003069
Computed iterate 41 with error 0.002668
Computed iterate 42 with error 0.002311
Computed iterate 43 with error 0.001995
Computed iterate 44 with error 0.001716
Computed iterate 45 with error 0.001470
Computed iterate 46 with error 0.001254
Computed iterate 47 with error 0.001066
Computed iterate 48 with error 0.000903
Computed iterate 1 with error 9.528149
Computed iterate 2 with error 3.174154
Computed iterate 3 with error 1.584155
Computed iterate 4 with error 0.947450
Computed iterate 5 with error 0.628753
Computed iterate 6 with error 0.446472
Computed iterate 7 with error 0.332465
Computed iterate 8 with error 0.256422
Computed iterate 9 with error 0.203172
Computed iterate 10 with error 0.164447
Computed iterate 11 with error 0.135397
Computed iterate 12 with error 0.113067
Computed iterate 13 with error 0.095523
Computed iterate 14 with error 0.081494
Computed iterate 15 with error 0.070105
Computed iterate 16 with error 0.060742
Computed iterate 17 with error 0.052944
Computed iterate 18 with error 0.046383
Computed iterate 19 with error 0.040816
Computed iterate 20 with error 0.036053
Computed iterate 21 with error 0.031949
Computed iterate 22 with error 0.028391
Computed iterate 23 with error 0.025288
Computed iterate 24 with error 0.022566
Computed iterate 25 with error 0.020167
Computed iterate 26 with error 0.018044
Computed iterate 27 with error 0.016158
Computed iterate 28 with error 0.014478
Computed iterate 29 with error 0.012976
Computed iterate 30 with error 0.011631
Computed iterate 31 with error 0.010422
Computed iterate 32 with error 0.009336
Computed iterate 33 with error 0.008357
Computed iterate 34 with error 0.007474
Computed iterate 35 with error 0.006677
Computed iterate 36 with error 0.005958
Computed iterate 37 with error 0.005308
Computed iterate 38 with error 0.004721
Computed iterate 39 with error 0.004190
Computed iterate 40 with error 0.003712
Computed iterate 41 with error 0.003280
Computed iterate 42 with error 0.002891
Computed iterate 43 with error 0.002541
Computed iterate 44 with error 0.002227
Computed iterate 45 with error 0.001946
Computed iterate 46 with error 0.001696
Computed iterate 47 with error 0.001473
Computed iterate 48 with error 0.001275
Computed iterate 49 with error 0.001100
Computed iterate 50 with error 0.000946
Computed iterate 1 with error 9.544430
Computed iterate 2 with error 3.180080
Computed iterate 3 with error 1.587490
Computed iterate 4 with error 0.949751
Computed iterate 5 with error 0.630539
Computed iterate 6 with error 0.447966
Computed iterate 7 with error 0.333777
Computed iterate 8 with error 0.257616
Computed iterate 9 with error 0.204285
Computed iterate 10 with error 0.165500
Computed iterate 11 with error 0.136407
Computed iterate 12 with error 0.114045
Computed iterate 13 with error 0.096476
Computed iterate 14 with error 0.082427
Computed iterate 15 with error 0.071023
Computed iterate 16 with error 0.061648
Computed iterate 17 with error 0.053839
Computed iterate 18 with error 0.047270
Computed iterate 19 with error 0.041696
Computed iterate 20 with error 0.036927
Computed iterate 21 with error 0.032818
Computed iterate 22 with error 0.029254
Computed iterate 23 with error 0.026146
Computed iterate 24 with error 0.023420
Computed iterate 25 with error 0.021016
Computed iterate 26 with error 0.018887
Computed iterate 27 with error 0.016996
Computed iterate 28 with error 0.015309
Computed iterate 29 with error 0.013800
Computed iterate 30 with error 0.012445
Computed iterate 31 with error 0.011228
Computed iterate 32 with error 0.010130
Computed iterate 33 with error 0.009138
Computed iterate 34 with error 0.008242
Computed iterate 35 with error 0.007430
Computed iterate 36 with error 0.006693
Computed iterate 37 with error 0.006025
Computed iterate 38 with error 0.005419
Computed iterate 39 with error 0.004868
Computed iterate 40 with error 0.004367
Computed iterate 41 with error 0.003912
Computed iterate 42 with error 0.003498
Computed iterate 43 with error 0.003123
Computed iterate 44 with error 0.002782
Computed iterate 45 with error 0.002473
Computed iterate 46 with error 0.002194
Computed iterate 47 with error 0.001941
Computed iterate 48 with error 0.001714
Computed iterate 49 with error 0.001509
Computed iterate 50 with error 0.001325
Computed iterate 1 with error 9.560701
Computed iterate 2 with error 3.185994
Computed iterate 3 with error 1.590812
Computed iterate 4 with error 0.952036
Computed iterate 5 with error 0.632308
Computed iterate 6 with error 0.449442
Computed iterate 7 with error 0.335070
Computed iterate 8 with error 0.258788
Computed iterate 9 with error 0.205374
Computed iterate 10 with error 0.166528
Computed iterate 11 with error 0.137392
Computed iterate 12 with error 0.114996
Computed iterate 13 with error 0.097399
Computed iterate 14 with error 0.083330
Computed iterate 15 with error 0.071910
Computed iterate 16 with error 0.062521
Computed iterate 17 with error 0.054700
Computed iterate 18 with error 0.048122
Computed iterate 19 with error 0.042539
Computed iterate 20 with error 0.037763
Computed iterate 21 with error 0.033647
Computed iterate 22 with error 0.030076
Computed iterate 23 with error 0.026962
Computed iterate 24 with error 0.024231
Computed iterate 25 with error 0.021822
Computed iterate 26 with error 0.019688
Computed iterate 27 with error 0.017790
Computed iterate 28 with error 0.016096
Computed iterate 29 with error 0.014580
Computed iterate 30 with error 0.013219
Computed iterate 31 with error 0.011993
Computed iterate 32 with error 0.010886
Computed iterate 33 with error 0.009885
Computed iterate 34 with error 0.008978
Computed iterate 35 with error 0.008154
Computed iterate 36 with error 0.007405
Computed iterate 37 with error 0.006723
Computed iterate 38 with error 0.006102
Computed iterate 39 with error 0.005536
Computed iterate 40 with error 0.005018
Computed iterate 41 with error 0.004546
Computed iterate 42 with error 0.004114
Computed iterate 43 with error 0.003719
Computed iterate 44 with error 0.003358
Computed iterate 45 with error 0.003028
Computed iterate 46 with error 0.002727
Computed iterate 47 with error 0.002451
Computed iterate 48 with error 0.002200
Computed iterate 49 with error 0.001971
Computed iterate 50 with error 0.001762
Computed iterate 1 with error 9.576961
Computed iterate 2 with error 3.191896
Computed iterate 3 with error 1.594121
Computed iterate 4 with error 0.954307
Computed iterate 5 with error 0.634061
Computed iterate 6 with error 0.450899
Computed iterate 7 with error 0.336344
Computed iterate 8 with error 0.259940
Computed iterate 9 with error 0.206441
Computed iterate 10 with error 0.167533
Computed iterate 11 with error 0.138353
Computed iterate 12 with error 0.115919
Computed iterate 13 with error 0.098296
Computed iterate 14 with error 0.084204
Computed iterate 15 with error 0.072767
Computed iterate 16 with error 0.063361
Computed iterate 17 with error 0.055527
Computed iterate 18 with error 0.048938
Computed iterate 19 with error 0.043346
Computed iterate 20 with error 0.038561
Computed iterate 21 with error 0.034437
Computed iterate 22 with error 0.030860
Computed iterate 23 with error 0.027739
Computed iterate 24 with error 0.025002
Computed iterate 25 with error 0.022586
Computed iterate 26 with error 0.020445
Computed iterate 27 with error 0.018541
Computed iterate 28 with error 0.016841
Computed iterate 29 with error 0.015318
Computed iterate 30 with error 0.013950
Computed iterate 31 with error 0.012716
Computed iterate 32 with error 0.011602
Computed iterate 33 with error 0.010593
Computed iterate 34 with error 0.009677
Computed iterate 35 with error 0.008844
Computed iterate 36 with error 0.008085
Computed iterate 37 with error 0.007393
Computed iterate 38 with error 0.006760
Computed iterate 39 with error 0.006181
Computed iterate 40 with error 0.005651
Computed iterate 41 with error 0.005166
Computed iterate 42 with error 0.004720
Computed iterate 43 with error 0.004311
Computed iterate 44 with error 0.003935
Computed iterate 45 with error 0.003589
Computed iterate 46 with error 0.003271
Computed iterate 47 with error 0.002979
Computed iterate 48 with error 0.002710
Computed iterate 49 with error 0.002463
Computed iterate 50 with error 0.002235
Computed iterate 1 with error 9.593211
Computed iterate 2 with error 3.197786
Computed iterate 3 with error 1.597417
Computed iterate 4 with error 0.956564
Computed iterate 5 with error 0.635798
Computed iterate 6 with error 0.452340
Computed iterate 7 with error 0.337599
Computed iterate 8 with error 0.261071
Computed iterate 9 with error 0.207487
Computed iterate 10 with error 0.168515
Computed iterate 11 with error 0.139289
Computed iterate 12 with error 0.116817
Computed iterate 13 with error 0.099165
Computed iterate 14 with error 0.085050
Computed iterate 15 with error 0.073595
Computed iterate 16 with error 0.064170
Computed iterate 17 with error 0.056323
Computed iterate 18 with error 0.049722
Computed iterate 19 with error 0.044119
Computed iterate 20 with error 0.039324
Computed iterate 21 with error 0.035192
Computed iterate 22 with error 0.031607
Computed iterate 23 with error 0.028479
Computed iterate 24 with error 0.025733
Computed iterate 25 with error 0.023309
Computed iterate 26 with error 0.021162
Computed iterate 27 with error 0.019251
Computed iterate 28 with error 0.017544
Computed iterate 29 with error 0.016014
Computed iterate 30 with error 0.014639
Computed iterate 31 with error 0.013398
Computed iterate 32 with error 0.012277
Computed iterate 33 with error 0.011260
Computed iterate 34 with error 0.010336
Computed iterate 35 with error 0.009495
Computed iterate 36 with error 0.008728
Computed iterate 37 with error 0.008027
Computed iterate 38 with error 0.007385
Computed iterate 39 with error 0.006796
Computed iterate 40 with error 0.006256
Computed iterate 41 with error 0.005760
Computed iterate 42 with error 0.005304
Computed iterate 43 with error 0.004883
Computed iterate 44 with error 0.004496
Computed iterate 45 with error 0.004138
Computed iterate 46 with error 0.003808
Computed iterate 47 with error 0.003503
Computed iterate 48 with error 0.003221
Computed iterate 49 with error 0.002960
Computed iterate 50 with error 0.002719
Computed iterate 1 with error 9.609451
Computed iterate 2 with error 3.203665
Computed iterate 3 with error 1.600699
Computed iterate 4 with error 0.958805
Computed iterate 5 with error 0.637519
Computed iterate 6 with error 0.453762
Computed iterate 7 with error 0.338835
Computed iterate 8 with error 0.262182
Computed iterate 9 with error 0.208512
Computed iterate 10 with error 0.169475
Computed iterate 11 with error 0.140201
Computed iterate 12 with error 0.117690
Computed iterate 13 with error 0.100008
Computed iterate 14 with error 0.085870
Computed iterate 15 with error 0.074394
Computed iterate 16 with error 0.064950
Computed iterate 17 with error 0.057088
Computed iterate 18 with error 0.050474
Computed iterate 19 with error 0.044859
Computed iterate 20 with error 0.040054
Computed iterate 21 with error 0.035912
Computed iterate 22 with error 0.032318
Computed iterate 23 with error 0.029180
Computed iterate 24 with error 0.026425
Computed iterate 25 with error 0.023994
Computed iterate 26 with error 0.021839
Computed iterate 27 with error 0.019921
Computed iterate 28 with error 0.018207
Computed iterate 29 with error 0.016670
Computed iterate 30 with error 0.015287
Computed iterate 31 with error 0.014039
Computed iterate 32 with error 0.012910
Computed iterate 33 with error 0.011886
Computed iterate 34 with error 0.010955
Computed iterate 35 with error 0.010106
Computed iterate 36 with error 0.009331
Computed iterate 37 with error 0.008622
Computed iterate 38 with error 0.007972
Computed iterate 39 with error 0.007375
Computed iterate 40 with error 0.006827
Computed iterate 41 with error 0.006322
Computed iterate 42 with error 0.005856
Computed iterate 43 with error 0.005427
Computed iterate 44 with error 0.005030
Computed iterate 45 with error 0.004663
Computed iterate 46 with error 0.004324
Computed iterate 47 with error 0.004009
Computed iterate 48 with error 0.003717
Computed iterate 49 with error 0.003446
Computed iterate 50 with error 0.003194
Computed iterate 1 with error 9.625681
Computed iterate 2 with error 3.209532
Computed iterate 3 with error 1.603968
Computed iterate 4 with error 0.961033
Computed iterate 5 with error 0.639224
Computed iterate 6 with error 0.455169
Computed iterate 7 with error 0.340054
Computed iterate 8 with error 0.263275
Computed iterate 9 with error 0.209516
Computed iterate 10 with error 0.170413
Computed iterate 11 with error 0.141090
Computed iterate 12 with error 0.118539
Computed iterate 13 with error 0.100826
Computed iterate 14 with error 0.086663
Computed iterate 15 with error 0.075164
Computed iterate 16 with error 0.065702
Computed iterate 17 with error 0.057823
Computed iterate 18 with error 0.051195
Computed iterate 19 with error 0.045567
Computed iterate 20 with error 0.040751
Computed iterate 21 with error 0.036598
Computed iterate 22 with error 0.032994
Computed iterate 23 with error 0.029846
Computed iterate 24 with error 0.027082
Computed iterate 25 with error 0.024642
Computed iterate 26 with error 0.022479
Computed iterate 27 with error 0.020552
Computed iterate 28 with error 0.018830
Computed iterate 29 with error 0.017286
Computed iterate 30 with error 0.015895
Computed iterate 31 with error 0.014640
Computed iterate 32 with error 0.013504
Computed iterate 33 with error 0.012472
Computed iterate 34 with error 0.011534
Computed iterate 35 with error 0.010677
Computed iterate 36 with error 0.009895
Computed iterate 37 with error 0.009178
Computed iterate 38 with error 0.008520
Computed iterate 39 with error 0.007916
Computed iterate 40 with error 0.007360
Computed iterate 41 with error 0.006847
Computed iterate 42 with error 0.006374
Computed iterate 43 with error 0.005937
Computed iterate 44 with error 0.005532
Computed iterate 45 with error 0.005156
Computed iterate 46 with error 0.004808
Computed iterate 47 with error 0.004485
Computed iterate 48 with error 0.004184
Computed iterate 49 with error 0.003904
Computed iterate 50 with error 0.003644
Computed iterate 1 with error 9.641900
Computed iterate 2 with error 3.215387
Computed iterate 3 with error 1.607225
Computed iterate 4 with error 0.963246
Computed iterate 5 with error 0.640914
Computed iterate 6 with error 0.456558
Computed iterate 7 with error 0.341255
Computed iterate 8 with error 0.264348
Computed iterate 9 with error 0.210499
Computed iterate 10 with error 0.171330
Computed iterate 11 with error 0.141957
Computed iterate 12 with error 0.119365
Computed iterate 13 with error 0.101619
Computed iterate 14 with error 0.087430
Computed iterate 15 with error 0.075908
Computed iterate 16 with error 0.066426
Computed iterate 17 with error 0.058529
Computed iterate 18 with error 0.051886
Computed iterate 19 with error 0.046245
Computed iterate 20 with error 0.041417
Computed iterate 21 with error 0.037253
Computed iterate 22 with error 0.033637
Computed iterate 23 with error 0.030479
Computed iterate 24 with error 0.027704
Computed iterate 25 with error 0.025255
Computed iterate 26 with error 0.023083
Computed iterate 27 with error 0.021148
Computed iterate 28 with error 0.019417
Computed iterate 29 with error 0.017864
Computed iterate 30 with error 0.016466
Computed iterate 31 with error 0.015203
Computed iterate 32 with error 0.014059
Computed iterate 33 with error 0.013020
Computed iterate 34 with error 0.012073
Computed iterate 35 with error 0.011209
Computed iterate 36 with error 0.010419
Computed iterate 37 with error 0.009695
Computed iterate 38 with error 0.009030
Computed iterate 39 with error 0.008419
Computed iterate 40 with error 0.007855
Computed iterate 41 with error 0.007334
Computed iterate 42 with error 0.006853
Computed iterate 43 with error 0.006408
Computed iterate 44 with error 0.005995
Computed iterate 45 with error 0.005612
Computed iterate 46 with error 0.005257
Computed iterate 47 with error 0.004926
Computed iterate 48 with error 0.004617
Computed iterate 49 with error 0.004330
Computed iterate 50 with error 0.004062
Computed iterate 1 with error 9.658109
Computed iterate 2 with error 3.221231
Computed iterate 3 with error 1.610468
Computed iterate 4 with error 0.965446
Computed iterate 5 with error 0.642589
Computed iterate 6 with error 0.457931
Computed iterate 7 with error 0.342438
Computed iterate 8 with error 0.265403
Computed iterate 9 with error 0.211463
Computed iterate 10 with error 0.172227
Computed iterate 11 with error 0.142801
Computed iterate 12 with error 0.120168
Computed iterate 13 with error 0.102389
Computed iterate 14 with error 0.088172
Computed iterate 15 with error 0.076626
Computed iterate 16 with error 0.067123
Computed iterate 17 with error 0.059209
Computed iterate 18 with error 0.052549
Computed iterate 19 with error 0.046894
Computed iterate 20 with error 0.042052
Computed iterate 21 with error 0.037876
Computed iterate 22 with error 0.034248
Computed iterate 23 with error 0.031079
Computed iterate 24 with error 0.028294
Computed iterate 25 with error 0.025835
Computed iterate 26 with error 0.023653
Computed iterate 27 with error 0.021708
Computed iterate 28 with error 0.019969
Computed iterate 29 with error 0.018408
Computed iterate 30 with error 0.017001
Computed iterate 31 with error 0.015729
Computed iterate 32 with error 0.014577
Computed iterate 33 with error 0.013530
Computed iterate 34 with error 0.012576
Computed iterate 35 with error 0.011704
Computed iterate 36 with error 0.010906
Computed iterate 37 with error 0.010174
Computed iterate 38 with error 0.009502
Computed iterate 39 with error 0.008882
Computed iterate 40 with error 0.008311
Computed iterate 41 with error 0.007783
Computed iterate 42 with error 0.007295
Computed iterate 43 with error 0.006842
Computed iterate 44 with error 0.006422
Computed iterate 45 with error 0.006032
Computed iterate 46 with error 0.005668
Computed iterate 47 with error 0.005330
Computed iterate 48 with error 0.005015
Computed iterate 49 with error 0.004721
Computed iterate 50 with error 0.004446
Computed iterate 1 with error 9.674308
Computed iterate 2 with error 3.227064
Computed iterate 3 with error 1.613700
Computed iterate 4 with error 0.967631
Computed iterate 5 with error 0.644249
Computed iterate 6 with error 0.459288
Computed iterate 7 with error 0.343604
Computed iterate 8 with error 0.266440
Computed iterate 9 with error 0.212407
Computed iterate 10 with error 0.173103
Computed iterate 11 with error 0.143624
Computed iterate 12 with error 0.120949
Computed iterate 13 with error 0.103136
Computed iterate 14 with error 0.088890
Computed iterate 15 with error 0.077320
Computed iterate 16 with error 0.067795
Computed iterate 17 with error 0.059862
Computed iterate 18 with error 0.053186
Computed iterate 19 with error 0.047515
Computed iterate 20 with error 0.042659
Computed iterate 21 with error 0.038469
Computed iterate 22 with error 0.034829
Computed iterate 23 with error 0.031648
Computed iterate 24 with error 0.028852
Computed iterate 25 with error 0.026382
Computed iterate 26 with error 0.024190
Computed iterate 27 with error 0.022236
Computed iterate 28 with error 0.020488
Computed iterate 29 with error 0.018917
Computed iterate 30 with error 0.017502
Computed iterate 31 with error 0.016222
Computed iterate 32 with error 0.015061
Computed iterate 33 with error 0.014005
Computed iterate 34 with error 0.013043
Computed iterate 35 with error 0.012163
Computed iterate 36 with error 0.011357
Computed iterate 37 with error 0.010617
Computed iterate 38 with error 0.009937
Computed iterate 39 with error 0.009310
Computed iterate 40 with error 0.008731
Computed iterate 41 with error 0.008196
Computed iterate 42 with error 0.007700
Computed iterate 43 with error 0.007240
Computed iterate 44 with error 0.006812
Computed iterate 45 with error 0.006415
Computed iterate 46 with error 0.006045
Computed iterate 47 with error 0.005700
Computed iterate 48 with error 0.005377
Computed iterate 49 with error 0.005076
Computed iterate 50 with error 0.004794
Computed iterate 1 with error 9.690497
Computed iterate 2 with error 3.232885
Computed iterate 3 with error 1.616918
Computed iterate 4 with error 0.969803
Computed iterate 5 with error 0.645895
Computed iterate 6 with error 0.460630
Computed iterate 7 with error 0.344753
Computed iterate 8 with error 0.267459
Computed iterate 9 with error 0.213333
Computed iterate 10 with error 0.173960
Computed iterate 11 with error 0.144427
Computed iterate 12 with error 0.121708
Computed iterate 13 with error 0.103861
Computed iterate 14 with error 0.089585
Computed iterate 15 with error 0.077989
Computed iterate 16 with error 0.068442
Computed iterate 17 with error 0.060489
Computed iterate 18 with error 0.053796
Computed iterate 19 with error 0.048109
Computed iterate 20 with error 0.043238
Computed iterate 21 with error 0.039034
Computed iterate 22 with error 0.035382
Computed iterate 23 with error 0.032188
Computed iterate 24 with error 0.029381
Computed iterate 25 with error 0.026900
Computed iterate 26 with error 0.024697
Computed iterate 27 with error 0.022733
Computed iterate 28 with error 0.020975
Computed iterate 29 with error 0.019395
Computed iterate 30 with error 0.017970
Computed iterate 31 with error 0.016681
Computed iterate 32 with error 0.015511
Computed iterate 33 with error 0.014447
Computed iterate 34 with error 0.013476
Computed iterate 35 with error 0.012588
Computed iterate 36 with error 0.011774
Computed iterate 37 with error 0.011026
Computed iterate 38 with error 0.010338
Computed iterate 39 with error 0.009703
Computed iterate 40 with error 0.009117
Computed iterate 41 with error 0.008574
Computed iterate 42 with error 0.008071
Computed iterate 43 with error 0.007603
Computed iterate 44 with error 0.007169
Computed iterate 45 with error 0.006764
Computed iterate 46 with error 0.006387
Computed iterate 47 with error 0.006035
Computed iterate 48 with error 0.005706
Computed iterate 49 with error 0.005398
Computed iterate 50 with error 0.005110






    
Out[7]:





<matplotlib.legend.Legend at 0x4a556d0>






    

In [ ]: