Tue Aug 27 15:58:01 2024

lagrange_approx_1d_test():
  python version: 3.10.12
  numpy version:  1.26.4
  Test lagrange_approx_1d().
  These tests need test_interp_1d.

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  1
  Use polynomial approximant of degree  0
  Number of data points =  16

  L2 approximation error averaged per data node =  0.32923917977664807
  Graphics saved as "p1_lageven_0_16.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  1
  Use polynomial approximant of degree  0
  Number of data points =  64

  L2 approximation error averaged per data node =  0.1664516333360366
  Graphics saved as "p1_lageven_0_64.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  1
  Use polynomial approximant of degree  0
  Number of data points =  1000

  L2 approximation error averaged per data node =  0.04196660577173235
  Graphics saved as "p1_lageven_0_1000.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  1
  Use polynomial approximant of degree  1
  Number of data points =  16

  L2 approximation error averaged per data node =  0.24156258323185537
  Graphics saved as "p1_lageven_1_16.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  1
  Use polynomial approximant of degree  1
  Number of data points =  64

  L2 approximation error averaged per data node =  0.12359561299928887
  Graphics saved as "p1_lageven_1_64.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  1
  Use polynomial approximant of degree  1
  Number of data points =  1000

  L2 approximation error averaged per data node =  0.03144897380154006
  Graphics saved as "p1_lageven_1_1000.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  1
  Use polynomial approximant of degree  2
  Number of data points =  16

  L2 approximation error averaged per data node =  0.18761521903397196
  Graphics saved as "p1_lageven_2_16.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  1
  Use polynomial approximant of degree  2
  Number of data points =  64

  L2 approximation error averaged per data node =  0.08874178643435669
  Graphics saved as "p1_lageven_2_64.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  1
  Use polynomial approximant of degree  2
  Number of data points =  1000

  L2 approximation error averaged per data node =  0.022018901113384937
  Graphics saved as "p1_lageven_2_1000.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  1
  Use polynomial approximant of degree  3
  Number of data points =  16

  L2 approximation error averaged per data node =  0.16527967173321312
  Graphics saved as "p1_lageven_3_16.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  1
  Use polynomial approximant of degree  3
  Number of data points =  64

  L2 approximation error averaged per data node =  0.07977866023237261
  Graphics saved as "p1_lageven_3_64.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  1
  Use polynomial approximant of degree  3
  Number of data points =  1000

  L2 approximation error averaged per data node =  0.020121042179595188
  Graphics saved as "p1_lageven_3_1000.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  1
  Use polynomial approximant of degree  4
  Number of data points =  16

  L2 approximation error averaged per data node =  0.12440226069753946
  Graphics saved as "p1_lageven_4_16.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  1
  Use polynomial approximant of degree  4
  Number of data points =  64

  L2 approximation error averaged per data node =  0.06154094945120156
  Graphics saved as "p1_lageven_4_64.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  1
  Use polynomial approximant of degree  4
  Number of data points =  1000

  L2 approximation error averaged per data node =  0.015522649673891328
  Graphics saved as "p1_lageven_4_1000.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  1
  Use polynomial approximant of degree  8
  Number of data points =  16

  L2 approximation error averaged per data node =  0.09853040554856726
  Graphics saved as "p1_lageven_8_16.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  1
  Use polynomial approximant of degree  8
  Number of data points =  64

  L2 approximation error averaged per data node =  0.05398029116179238
  Graphics saved as "p1_lageven_8_64.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  1
  Use polynomial approximant of degree  8
  Number of data points =  1000

  L2 approximation error averaged per data node =  0.013647198436919004
  Graphics saved as "p1_lageven_8_1000.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  1
  Use polynomial approximant of degree  16
  Number of data points =  16

  L2 approximation error averaged per data node =  3.6640510383884514e-07
  Graphics saved as "p1_lageven_16_16.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  1
  Use polynomial approximant of degree  16
  Number of data points =  64

  L2 approximation error averaged per data node =  0.035518966568174694
  Graphics saved as "p1_lageven_16_64.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  1
  Use polynomial approximant of degree  16
  Number of data points =  1000

  L2 approximation error averaged per data node =  0.009220477018894752
  Graphics saved as "p1_lageven_16_1000.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  2
  Use polynomial approximant of degree  0
  Number of data points =  16

  L2 approximation error averaged per data node =  0.31085504560003524
  Graphics saved as "p2_lageven_0_16.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  2
  Use polynomial approximant of degree  0
  Number of data points =  64

  L2 approximation error averaged per data node =  0.1503217606712541
  Graphics saved as "p2_lageven_0_64.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  2
  Use polynomial approximant of degree  0
  Number of data points =  1000

  L2 approximation error averaged per data node =  0.03766302569503019
  Graphics saved as "p2_lageven_0_1000.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  2
  Use polynomial approximant of degree  1
  Number of data points =  16

  L2 approximation error averaged per data node =  0.1489276929270988
  Graphics saved as "p2_lageven_1_16.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  2
  Use polynomial approximant of degree  1
  Number of data points =  64

  L2 approximation error averaged per data node =  0.06953702947283405
  Graphics saved as "p2_lageven_1_64.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  2
  Use polynomial approximant of degree  1
  Number of data points =  1000

  L2 approximation error averaged per data node =  0.017236961888652397
  Graphics saved as "p2_lageven_1_1000.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  2
  Use polynomial approximant of degree  2
  Number of data points =  16

  L2 approximation error averaged per data node =  0.05967554408612283
  Graphics saved as "p2_lageven_2_16.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  2
  Use polynomial approximant of degree  2
  Number of data points =  64

  L2 approximation error averaged per data node =  0.02814954310633935
  Graphics saved as "p2_lageven_2_64.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  2
  Use polynomial approximant of degree  2
  Number of data points =  1000

  L2 approximation error averaged per data node =  0.007032601416093264
  Graphics saved as "p2_lageven_2_1000.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  2
  Use polynomial approximant of degree  3
  Number of data points =  16

  L2 approximation error averaged per data node =  0.0303801207013926
  Graphics saved as "p2_lageven_3_16.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  2
  Use polynomial approximant of degree  3
  Number of data points =  64

  L2 approximation error averaged per data node =  0.013477512867410262
  Graphics saved as "p2_lageven_3_64.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  2
  Use polynomial approximant of degree  3
  Number of data points =  1000

  L2 approximation error averaged per data node =  0.0033181286009788423
  Graphics saved as "p2_lageven_3_1000.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  2
  Use polynomial approximant of degree  4
  Number of data points =  16

  L2 approximation error averaged per data node =  0.029009375011584654
  Graphics saved as "p2_lageven_4_16.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  2
  Use polynomial approximant of degree  4
  Number of data points =  64

  L2 approximation error averaged per data node =  0.013019999247695261
  Graphics saved as "p2_lageven_4_64.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  2
  Use polynomial approximant of degree  4
  Number of data points =  1000

  L2 approximation error averaged per data node =  0.0032233415056487696
  Graphics saved as "p2_lageven_4_1000.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  2
  Use polynomial approximant of degree  8
  Number of data points =  16

  L2 approximation error averaged per data node =  0.010293811112043553
  Graphics saved as "p2_lageven_8_16.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  2
  Use polynomial approximant of degree  8
  Number of data points =  64

  L2 approximation error averaged per data node =  0.0042148991556629324
  Graphics saved as "p2_lageven_8_64.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  2
  Use polynomial approximant of degree  8
  Number of data points =  1000

  L2 approximation error averaged per data node =  0.0010274867321119882
  Graphics saved as "p2_lageven_8_1000.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  2
  Use polynomial approximant of degree  16
  Number of data points =  16

  L2 approximation error averaged per data node =  2.1613815554190604e-08
  Graphics saved as "p2_lageven_16_16.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  2
  Use polynomial approximant of degree  16
  Number of data points =  64

  L2 approximation error averaged per data node =  0.0017863447046587702
  Graphics saved as "p2_lageven_16_64.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  2
  Use polynomial approximant of degree  16
  Number of data points =  1000

  L2 approximation error averaged per data node =  0.0004204271709506721
  Graphics saved as "p2_lageven_16_1000.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  3
  Use polynomial approximant of degree  0
  Number of data points =  16

  L2 approximation error averaged per data node =  0.17724784708602068
  Graphics saved as "p3_lageven_0_16.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  3
  Use polynomial approximant of degree  0
  Number of data points =  64

  L2 approximation error averaged per data node =  0.09229739816643866
  Graphics saved as "p3_lageven_0_64.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  3
  Use polynomial approximant of degree  0
  Number of data points =  1000

  L2 approximation error averaged per data node =  0.02350563917060927
  Graphics saved as "p3_lageven_0_1000.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  3
  Use polynomial approximant of degree  1
  Number of data points =  16

  L2 approximation error averaged per data node =  0.17699993760168525
  Graphics saved as "p3_lageven_1_16.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  3
  Use polynomial approximant of degree  1
  Number of data points =  64

  L2 approximation error averaged per data node =  0.09225929479358987
  Graphics saved as "p3_lageven_1_64.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  3
  Use polynomial approximant of degree  1
  Number of data points =  1000

  L2 approximation error averaged per data node =  0.02349662513036264
  Graphics saved as "p3_lageven_1_1000.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  3
  Use polynomial approximant of degree  2
  Number of data points =  16

  L2 approximation error averaged per data node =  0.14940763425782808
  Graphics saved as "p3_lageven_2_16.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  3
  Use polynomial approximant of degree  2
  Number of data points =  64

  L2 approximation error averaged per data node =  0.07419440324554841
  Graphics saved as "p3_lageven_2_64.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  3
  Use polynomial approximant of degree  2
  Number of data points =  1000

  L2 approximation error averaged per data node =  0.01870199544352562
  Graphics saved as "p3_lageven_2_1000.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  3
  Use polynomial approximant of degree  3
  Number of data points =  16

  L2 approximation error averaged per data node =  0.13017536529513118
  Graphics saved as "p3_lageven_3_16.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  3
  Use polynomial approximant of degree  3
  Number of data points =  64

  L2 approximation error averaged per data node =  0.05850457821297021
  Graphics saved as "p3_lageven_3_64.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  3
  Use polynomial approximant of degree  3
  Number of data points =  1000

  L2 approximation error averaged per data node =  0.014141950120779293
  Graphics saved as "p3_lageven_3_1000.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  3
  Use polynomial approximant of degree  4
  Number of data points =  16

  L2 approximation error averaged per data node =  0.1301354036729927
  Graphics saved as "p3_lageven_4_16.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  3
  Use polynomial approximant of degree  4
  Number of data points =  64

  L2 approximation error averaged per data node =  0.057251226454156964
  Graphics saved as "p3_lageven_4_64.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  3
  Use polynomial approximant of degree  4
  Number of data points =  1000

  L2 approximation error averaged per data node =  0.013473823870068567
  Graphics saved as "p3_lageven_4_1000.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  3
  Use polynomial approximant of degree  8
  Number of data points =  16

  L2 approximation error averaged per data node =  2.451987788173262e-13
  Graphics saved as "p3_lageven_8_16.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  3
  Use polynomial approximant of degree  8
  Number of data points =  64

  L2 approximation error averaged per data node =  1.5539951501752995e-13
  Graphics saved as "p3_lageven_8_64.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  3
  Use polynomial approximant of degree  8
  Number of data points =  1000

  L2 approximation error averaged per data node =  3.5560476659095506e-14
  Graphics saved as "p3_lageven_8_1000.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  3
  Use polynomial approximant of degree  16
  Number of data points =  16

  L2 approximation error averaged per data node =  6.800619395585793e-14
  Graphics saved as "p3_lageven_16_16.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  3
  Use polynomial approximant of degree  16
  Number of data points =  64

  L2 approximation error averaged per data node =  1.7033308905441417e-13
  Graphics saved as "p3_lageven_16_64.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  3
  Use polynomial approximant of degree  16
  Number of data points =  1000

  L2 approximation error averaged per data node =  3.041417650781161e-14
  Graphics saved as "p3_lageven_16_1000.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  4
  Use polynomial approximant of degree  0
  Number of data points =  16

  L2 approximation error averaged per data node =  0.3402744896557264
  Graphics saved as "p4_lageven_0_16.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  4
  Use polynomial approximant of degree  0
  Number of data points =  64

  L2 approximation error averaged per data node =  0.16846935293369952
  Graphics saved as "p4_lageven_0_64.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  4
  Use polynomial approximant of degree  0
  Number of data points =  1000

  L2 approximation error averaged per data node =  0.04251156799348509
  Graphics saved as "p4_lageven_0_1000.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  4
  Use polynomial approximant of degree  1
  Number of data points =  16

  L2 approximation error averaged per data node =  0.155148988501225
  Graphics saved as "p4_lageven_1_16.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  4
  Use polynomial approximant of degree  1
  Number of data points =  64

  L2 approximation error averaged per data node =  0.07639019583850763
  Graphics saved as "p4_lageven_1_64.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  4
  Use polynomial approximant of degree  1
  Number of data points =  1000

  L2 approximation error averaged per data node =  0.01930003629304654
  Graphics saved as "p4_lageven_1_1000.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  4
  Use polynomial approximant of degree  2
  Number of data points =  16

  L2 approximation error averaged per data node =  0.12805839617958276
  Graphics saved as "p4_lageven_2_16.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  4
  Use polynomial approximant of degree  2
  Number of data points =  64

  L2 approximation error averaged per data node =  0.06197883952264023
  Graphics saved as "p4_lageven_2_64.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  4
  Use polynomial approximant of degree  2
  Number of data points =  1000

  L2 approximation error averaged per data node =  0.015561524212693969
  Graphics saved as "p4_lageven_2_1000.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  4
  Use polynomial approximant of degree  3
  Number of data points =  16

  L2 approximation error averaged per data node =  0.10365544184111357
  Graphics saved as "p4_lageven_3_16.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  4
  Use polynomial approximant of degree  3
  Number of data points =  64

  L2 approximation error averaged per data node =  0.05037472125026538
  Graphics saved as "p4_lageven_3_64.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  4
  Use polynomial approximant of degree  3
  Number of data points =  1000

  L2 approximation error averaged per data node =  0.012708149405967125
  Graphics saved as "p4_lageven_3_1000.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  4
  Use polynomial approximant of degree  4
  Number of data points =  16

  L2 approximation error averaged per data node =  0.07596647397602681
  Graphics saved as "p4_lageven_4_16.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  4
  Use polynomial approximant of degree  4
  Number of data points =  64

  L2 approximation error averaged per data node =  0.03626396848453699
  Graphics saved as "p4_lageven_4_64.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  4
  Use polynomial approximant of degree  4
  Number of data points =  1000

  L2 approximation error averaged per data node =  0.009092713641357004
  Graphics saved as "p4_lageven_4_1000.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  4
  Use polynomial approximant of degree  8
  Number of data points =  16

  L2 approximation error averaged per data node =  0.0440258105484956
  Graphics saved as "p4_lageven_8_16.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  4
  Use polynomial approximant of degree  8
  Number of data points =  64

  L2 approximation error averaged per data node =  0.02078576105141718
  Graphics saved as "p4_lageven_8_64.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  4
  Use polynomial approximant of degree  8
  Number of data points =  1000

  L2 approximation error averaged per data node =  0.00523983422260153
  Graphics saved as "p4_lageven_8_1000.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  4
  Use polynomial approximant of degree  16
  Number of data points =  16

  L2 approximation error averaged per data node =  1.3837793608630493e-07
  Graphics saved as "p4_lageven_16_16.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  4
  Use polynomial approximant of degree  16
  Number of data points =  64

  L2 approximation error averaged per data node =  0.008226449010006236
  Graphics saved as "p4_lageven_16_64.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  4
  Use polynomial approximant of degree  16
  Number of data points =  1000

  L2 approximation error averaged per data node =  0.0020862489333644506
  Graphics saved as "p4_lageven_16_1000.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  5
  Use polynomial approximant of degree  0
  Number of data points =  16

  L2 approximation error averaged per data node =  2.43701725185001
  Graphics saved as "p5_lageven_0_16.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  5
  Use polynomial approximant of degree  0
  Number of data points =  64

  L2 approximation error averaged per data node =  0.9124610885899869
  Graphics saved as "p5_lageven_0_64.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  5
  Use polynomial approximant of degree  0
  Number of data points =  1000

  L2 approximation error averaged per data node =  0.2251837157230221
  Graphics saved as "p5_lageven_0_1000.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  5
  Use polynomial approximant of degree  1
  Number of data points =  16

  L2 approximation error averaged per data node =  2.4256725456919135
  Graphics saved as "p5_lageven_1_16.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  5
  Use polynomial approximant of degree  1
  Number of data points =  64

  L2 approximation error averaged per data node =  0.9056582013045945
  Graphics saved as "p5_lageven_1_64.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  5
  Use polynomial approximant of degree  1
  Number of data points =  1000

  L2 approximation error averaged per data node =  0.22344981534869435
  Graphics saved as "p5_lageven_1_1000.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  5
  Use polynomial approximant of degree  2
  Number of data points =  16

  L2 approximation error averaged per data node =  2.3648124497852923
  Graphics saved as "p5_lageven_2_16.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  5
  Use polynomial approximant of degree  2
  Number of data points =  64

  L2 approximation error averaged per data node =  0.9013975612147126
  Graphics saved as "p5_lageven_2_64.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  5
  Use polynomial approximant of degree  2
  Number of data points =  1000

  L2 approximation error averaged per data node =  0.2233299114134663
  Graphics saved as "p5_lageven_2_1000.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  5
  Use polynomial approximant of degree  3
  Number of data points =  16

  L2 approximation error averaged per data node =  2.3427518414037007
  Graphics saved as "p5_lageven_3_16.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  5
  Use polynomial approximant of degree  3
  Number of data points =  64

  L2 approximation error averaged per data node =  0.881054612748959
  Graphics saved as "p5_lageven_3_64.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  5
  Use polynomial approximant of degree  3
  Number of data points =  1000

  L2 approximation error averaged per data node =  0.21736521073156403
  Graphics saved as "p5_lageven_3_1000.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  5
  Use polynomial approximant of degree  4
  Number of data points =  16

  L2 approximation error averaged per data node =  2.088485631284728
  Graphics saved as "p5_lageven_4_16.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  5
  Use polynomial approximant of degree  4
  Number of data points =  64

  L2 approximation error averaged per data node =  0.8075211018099383
  Graphics saved as "p5_lageven_4_64.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  5
  Use polynomial approximant of degree  4
  Number of data points =  1000

  L2 approximation error averaged per data node =  0.20369404401826366
  Graphics saved as "p5_lageven_4_1000.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  5
  Use polynomial approximant of degree  8
  Number of data points =  16

  L2 approximation error averaged per data node =  1.7448274113237248
  Graphics saved as "p5_lageven_8_16.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  5
  Use polynomial approximant of degree  8
  Number of data points =  64

  L2 approximation error averaged per data node =  0.6835619263295385
  Graphics saved as "p5_lageven_8_64.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  5
  Use polynomial approximant of degree  8
  Number of data points =  1000

  L2 approximation error averaged per data node =  0.17325658048275985
  Graphics saved as "p5_lageven_8_1000.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  5
  Use polynomial approximant of degree  16
  Number of data points =  16

  L2 approximation error averaged per data node =  6.290552597315095e-07
  Graphics saved as "p5_lageven_16_16.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  5
  Use polynomial approximant of degree  16
  Number of data points =  64

  L2 approximation error averaged per data node =  0.5451758202685553
  Graphics saved as "p5_lageven_16_64.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  5
  Use polynomial approximant of degree  16
  Number of data points =  1000

  L2 approximation error averaged per data node =  0.139143795936499
  Graphics saved as "p5_lageven_16_1000.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  6
  Use polynomial approximant of degree  0
  Number of data points =  16

  L2 approximation error averaged per data node =  0.09216990145983411
  Graphics saved as "p6_lageven_0_16.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  6
  Use polynomial approximant of degree  0
  Number of data points =  64

  L2 approximation error averaged per data node =  0.04654501463340103
  Graphics saved as "p6_lageven_0_64.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  6
  Use polynomial approximant of degree  0
  Number of data points =  1000

  L2 approximation error averaged per data node =  0.011809755535534993
  Graphics saved as "p6_lageven_0_1000.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  6
  Use polynomial approximant of degree  1
  Number of data points =  16

  L2 approximation error averaged per data node =  0.05569983815626218
  Graphics saved as "p6_lageven_1_16.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  6
  Use polynomial approximant of degree  1
  Number of data points =  64

  L2 approximation error averaged per data node =  0.02599409147281932
  Graphics saved as "p6_lageven_1_64.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  6
  Use polynomial approximant of degree  1
  Number of data points =  1000

  L2 approximation error averaged per data node =  0.006420638380010299
  Graphics saved as "p6_lageven_1_1000.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  6
  Use polynomial approximant of degree  2
  Number of data points =  16

  L2 approximation error averaged per data node =  0.052126669651198415
  Graphics saved as "p6_lageven_2_16.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  6
  Use polynomial approximant of degree  2
  Number of data points =  64

  L2 approximation error averaged per data node =  0.02474488622163757
  Graphics saved as "p6_lageven_2_64.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  6
  Use polynomial approximant of degree  2
  Number of data points =  1000

  L2 approximation error averaged per data node =  0.006143954407698087
  Graphics saved as "p6_lageven_2_1000.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  6
  Use polynomial approximant of degree  3
  Number of data points =  16

  L2 approximation error averaged per data node =  0.01990698002704966
  Graphics saved as "p6_lageven_3_16.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  6
  Use polynomial approximant of degree  3
  Number of data points =  64

  L2 approximation error averaged per data node =  0.009519320741875703
  Graphics saved as "p6_lageven_3_64.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  6
  Use polynomial approximant of degree  3
  Number of data points =  1000

  L2 approximation error averaged per data node =  0.00236086158144033
  Graphics saved as "p6_lageven_3_1000.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  6
  Use polynomial approximant of degree  4
  Number of data points =  16

  L2 approximation error averaged per data node =  0.01384229065907379
  Graphics saved as "p6_lageven_4_16.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  6
  Use polynomial approximant of degree  4
  Number of data points =  64

  L2 approximation error averaged per data node =  0.00624732757073584
  Graphics saved as "p6_lageven_4_64.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  6
  Use polynomial approximant of degree  4
  Number of data points =  1000

  L2 approximation error averaged per data node =  0.001502032243844998
  Graphics saved as "p6_lageven_4_1000.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  6
  Use polynomial approximant of degree  8
  Number of data points =  16

  L2 approximation error averaged per data node =  0.0004099001768526804
  Graphics saved as "p6_lageven_8_16.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  6
  Use polynomial approximant of degree  8
  Number of data points =  64

  L2 approximation error averaged per data node =  0.0002293330920410575
  Graphics saved as "p6_lageven_8_64.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  6
  Use polynomial approximant of degree  8
  Number of data points =  1000

  L2 approximation error averaged per data node =  5.483790670649415e-05
  Graphics saved as "p6_lageven_8_1000.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  6
  Use polynomial approximant of degree  16
  Number of data points =  16

  L2 approximation error averaged per data node =  5.032505696181529e-13
  Graphics saved as "p6_lageven_16_16.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  6
  Use polynomial approximant of degree  16
  Number of data points =  64

  L2 approximation error averaged per data node =  1.2577922908584254e-07
  Graphics saved as "p6_lageven_16_64.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  6
  Use polynomial approximant of degree  16
  Number of data points =  1000

  L2 approximation error averaged per data node =  3.10301448503771e-08
  Graphics saved as "p6_lageven_16_1000.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  7
  Use polynomial approximant of degree  0
  Number of data points =  16

  L2 approximation error averaged per data node =  0.4948035606679524
  Graphics saved as "p7_lageven_0_16.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  7
  Use polynomial approximant of degree  0
  Number of data points =  64

  L2 approximation error averaged per data node =  0.2531881019517684
  Graphics saved as "p7_lageven_0_64.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  7
  Use polynomial approximant of degree  0
  Number of data points =  1000

  L2 approximation error averaged per data node =  0.06438793965484185
  Graphics saved as "p7_lageven_0_1000.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  7
  Use polynomial approximant of degree  1
  Number of data points =  16

  L2 approximation error averaged per data node =  0.441868919257494
  Graphics saved as "p7_lageven_1_16.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  7
  Use polynomial approximant of degree  1
  Number of data points =  64

  L2 approximation error averaged per data node =  0.22463619309678592
  Graphics saved as "p7_lageven_1_64.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  7
  Use polynomial approximant of degree  1
  Number of data points =  1000

  L2 approximation error averaged per data node =  0.056962952690255544
  Graphics saved as "p7_lageven_1_1000.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  7
  Use polynomial approximant of degree  2
  Number of data points =  16

  L2 approximation error averaged per data node =  0.3958486930028647
  Graphics saved as "p7_lageven_2_16.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  7
  Use polynomial approximant of degree  2
  Number of data points =  64

  L2 approximation error averaged per data node =  0.20204543532293492
  Graphics saved as "p7_lageven_2_64.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  7
  Use polynomial approximant of degree  2
  Number of data points =  1000

  L2 approximation error averaged per data node =  0.051280844611973166
  Graphics saved as "p7_lageven_2_1000.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  7
  Use polynomial approximant of degree  3
  Number of data points =  16

  L2 approximation error averaged per data node =  0.3329834012737942
  Graphics saved as "p7_lageven_3_16.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  7
  Use polynomial approximant of degree  3
  Number of data points =  64

  L2 approximation error averaged per data node =  0.17090857015582675
  Graphics saved as "p7_lageven_3_64.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  7
  Use polynomial approximant of degree  3
  Number of data points =  1000

  L2 approximation error averaged per data node =  0.043324776700326445
  Graphics saved as "p7_lageven_3_1000.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  7
  Use polynomial approximant of degree  4
  Number of data points =  16

  L2 approximation error averaged per data node =  0.32065256713745016
  Graphics saved as "p7_lageven_4_16.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  7
  Use polynomial approximant of degree  4
  Number of data points =  64

  L2 approximation error averaged per data node =  0.16504446881882687
  Graphics saved as "p7_lageven_4_64.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  7
  Use polynomial approximant of degree  4
  Number of data points =  1000

  L2 approximation error averaged per data node =  0.041867028925428366
  Graphics saved as "p7_lageven_4_1000.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  7
  Use polynomial approximant of degree  8
  Number of data points =  16

  L2 approximation error averaged per data node =  0.22812571389815672
  Graphics saved as "p7_lageven_8_16.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  7
  Use polynomial approximant of degree  8
  Number of data points =  64

  L2 approximation error averaged per data node =  0.12414866631112247
  Graphics saved as "p7_lageven_8_64.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  7
  Use polynomial approximant of degree  8
  Number of data points =  1000

  L2 approximation error averaged per data node =  0.03156785624310269
  Graphics saved as "p7_lageven_8_1000.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  7
  Use polynomial approximant of degree  16
  Number of data points =  16

  L2 approximation error averaged per data node =  1.6107836578997353e-06
  Graphics saved as "p7_lageven_16_16.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  7
  Use polynomial approximant of degree  16
  Number of data points =  64

  L2 approximation error averaged per data node =  0.08885517452645851
  Graphics saved as "p7_lageven_16_64.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  7
  Use polynomial approximant of degree  16
  Number of data points =  1000

  L2 approximation error averaged per data node =  0.022876270360422696
  Graphics saved as "p7_lageven_16_1000.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  8
  Use polynomial approximant of degree  0
  Number of data points =  16

  L2 approximation error averaged per data node =  0.07033108543690507
  Graphics saved as "p8_lageven_0_16.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  8
  Use polynomial approximant of degree  0
  Number of data points =  64

  L2 approximation error averaged per data node =  0.03551302947625699
  Graphics saved as "p8_lageven_0_64.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  8
  Use polynomial approximant of degree  0
  Number of data points =  1000

  L2 approximation error averaged per data node =  0.009005348004539476
  Graphics saved as "p8_lageven_0_1000.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  8
  Use polynomial approximant of degree  1
  Number of data points =  16

  L2 approximation error averaged per data node =  0.07033108543690507
  Graphics saved as "p8_lageven_1_16.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  8
  Use polynomial approximant of degree  1
  Number of data points =  64

  L2 approximation error averaged per data node =  0.03551302947625699
  Graphics saved as "p8_lageven_1_64.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  8
  Use polynomial approximant of degree  1
  Number of data points =  1000

  L2 approximation error averaged per data node =  0.009005348004539476
  Graphics saved as "p8_lageven_1_1000.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  8
  Use polynomial approximant of degree  2
  Number of data points =  16

  L2 approximation error averaged per data node =  0.04842930483880248
  Graphics saved as "p8_lageven_2_16.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  8
  Use polynomial approximant of degree  2
  Number of data points =  64

  L2 approximation error averaged per data node =  0.024157272196574393
  Graphics saved as "p8_lageven_2_64.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  8
  Use polynomial approximant of degree  2
  Number of data points =  1000

  L2 approximation error averaged per data node =  0.006093182558339208
  Graphics saved as "p8_lageven_2_1000.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  8
  Use polynomial approximant of degree  3
  Number of data points =  16

  L2 approximation error averaged per data node =  0.04842930483880247
  Graphics saved as "p8_lageven_3_16.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  8
  Use polynomial approximant of degree  3
  Number of data points =  64

  L2 approximation error averaged per data node =  0.024157272196574393
  Graphics saved as "p8_lageven_3_64.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  8
  Use polynomial approximant of degree  3
  Number of data points =  1000

  L2 approximation error averaged per data node =  0.006093182558339208
  Graphics saved as "p8_lageven_3_1000.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  8
  Use polynomial approximant of degree  4
  Number of data points =  16

  L2 approximation error averaged per data node =  0.03279275417456053
  Graphics saved as "p8_lageven_4_16.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  8
  Use polynomial approximant of degree  4
  Number of data points =  64

  L2 approximation error averaged per data node =  0.016353638517279778
  Graphics saved as "p8_lageven_4_64.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  8
  Use polynomial approximant of degree  4
  Number of data points =  1000

  L2 approximation error averaged per data node =  0.004105583317780355
  Graphics saved as "p8_lageven_4_1000.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  8
  Use polynomial approximant of degree  8
  Number of data points =  16

  L2 approximation error averaged per data node =  0.013769208548614565
  Graphics saved as "p8_lageven_8_16.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  8
  Use polynomial approximant of degree  8
  Number of data points =  64

  L2 approximation error averaged per data node =  0.007447948127804347
  Graphics saved as "p8_lageven_8_64.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  8
  Use polynomial approximant of degree  8
  Number of data points =  1000

  L2 approximation error averaged per data node =  0.001859058853876259
  Graphics saved as "p8_lageven_8_1000.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  8
  Use polynomial approximant of degree  16
  Number of data points =  16

  L2 approximation error averaged per data node =  3.971251457129523e-09
  Graphics saved as "p8_lageven_16_16.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  8
  Use polynomial approximant of degree  16
  Number of data points =  64

  L2 approximation error averaged per data node =  0.0015012908680018724
  Graphics saved as "p8_lageven_16_64.png"

lagrange_approx_1d_test02():
  Approximate evenly spaced data from problem  8
  Use polynomial approximant of degree  16
  Number of data points =  1000

  L2 approximation error averaged per data node =  0.0003802592655447671
  Graphics saved as "p8_lageven_16_1000.png"

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 1
  Use polynomial approximant of degree. 0
  Number of data points = 16

  L2 approximation error averaged per data node =  0.318305449804115
  Graphics saved as "p1_lagcheby_0_16.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 1
  Use polynomial approximant of degree. 0
  Number of data points = 64

  L2 approximation error averaged per data node =  0.1608217878924914
  Graphics saved as "p1_lagcheby_0_64.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 1
  Use polynomial approximant of degree. 0
  Number of data points = 1000

  L2 approximation error averaged per data node =  0.040732775500817546
  Graphics saved as "p1_lagcheby_0_1000.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 1
  Use polynomial approximant of degree. 1
  Number of data points = 16

  L2 approximation error averaged per data node =  0.23050623287047112
  Graphics saved as "p1_lagcheby_1_16.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 1
  Use polynomial approximant of degree. 1
  Number of data points = 64

  L2 approximation error averaged per data node =  0.11355196684206319
  Graphics saved as "p1_lagcheby_1_64.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 1
  Use polynomial approximant of degree. 1
  Number of data points = 1000

  L2 approximation error averaged per data node =  0.028715083840172816
  Graphics saved as "p1_lagcheby_1_1000.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 1
  Use polynomial approximant of degree. 2
  Number of data points = 16

  L2 approximation error averaged per data node =  0.14804970477040585
  Graphics saved as "p1_lagcheby_2_16.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 1
  Use polynomial approximant of degree. 2
  Number of data points = 64

  L2 approximation error averaged per data node =  0.07962434604524248
  Graphics saved as "p1_lagcheby_2_64.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 1
  Use polynomial approximant of degree. 2
  Number of data points = 1000

  L2 approximation error averaged per data node =  0.020363879092388102
  Graphics saved as "p1_lagcheby_2_1000.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 1
  Use polynomial approximant of degree. 3
  Number of data points = 16

  L2 approximation error averaged per data node =  0.14019147699669063
  Graphics saved as "p1_lagcheby_3_16.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 1
  Use polynomial approximant of degree. 3
  Number of data points = 64

  L2 approximation error averaged per data node =  0.07152605015364591
  Graphics saved as "p1_lagcheby_3_64.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 1
  Use polynomial approximant of degree. 3
  Number of data points = 1000

  L2 approximation error averaged per data node =  0.018193022282313134
  Graphics saved as "p1_lagcheby_3_1000.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 1
  Use polynomial approximant of degree. 4
  Number of data points = 16

  L2 approximation error averaged per data node =  0.09550662310962989
  Graphics saved as "p1_lagcheby_4_16.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 1
  Use polynomial approximant of degree. 4
  Number of data points = 64

  L2 approximation error averaged per data node =  0.05222663014485804
  Graphics saved as "p1_lagcheby_4_64.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 1
  Use polynomial approximant of degree. 4
  Number of data points = 1000

  L2 approximation error averaged per data node =  0.013373477086413685
  Graphics saved as "p1_lagcheby_4_1000.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 1
  Use polynomial approximant of degree. 8
  Number of data points = 16

  L2 approximation error averaged per data node =  0.07675697662531687
  Graphics saved as "p1_lagcheby_8_16.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 1
  Use polynomial approximant of degree. 8
  Number of data points = 64

  L2 approximation error averaged per data node =  0.045638271045365386
  Graphics saved as "p1_lagcheby_8_64.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 1
  Use polynomial approximant of degree. 8
  Number of data points = 1000

  L2 approximation error averaged per data node =  0.011687122876951454
  Graphics saved as "p1_lagcheby_8_1000.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 1
  Use polynomial approximant of degree. 16
  Number of data points = 16

  L2 approximation error averaged per data node =  1.1634279889896004e-08
  Graphics saved as "p1_lagcheby_16_16.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 1
  Use polynomial approximant of degree. 16
  Number of data points = 64

  L2 approximation error averaged per data node =  0.029604999236848097
  Graphics saved as "p1_lagcheby_16_64.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 1
  Use polynomial approximant of degree. 16
  Number of data points = 1000

  L2 approximation error averaged per data node =  0.007760597839800164
  Graphics saved as "p1_lagcheby_16_1000.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 2
  Use polynomial approximant of degree. 0
  Number of data points = 16

  L2 approximation error averaged per data node =  0.3405697632544012
  Graphics saved as "p2_lagcheby_0_16.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 2
  Use polynomial approximant of degree. 0
  Number of data points = 64

  L2 approximation error averaged per data node =  0.1679195552084036
  Graphics saved as "p2_lagcheby_0_64.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 2
  Use polynomial approximant of degree. 0
  Number of data points = 1000

  L2 approximation error averaged per data node =  0.042312406149469746
  Graphics saved as "p2_lagcheby_0_1000.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 2
  Use polynomial approximant of degree. 1
  Number of data points = 16

  L2 approximation error averaged per data node =  0.1544711516485841
  Graphics saved as "p2_lagcheby_1_16.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 2
  Use polynomial approximant of degree. 1
  Number of data points = 64

  L2 approximation error averaged per data node =  0.07597578376759206
  Graphics saved as "p2_lagcheby_1_64.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 2
  Use polynomial approximant of degree. 1
  Number of data points = 1000

  L2 approximation error averaged per data node =  0.01914855135675429
  Graphics saved as "p2_lagcheby_1_1000.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 2
  Use polynomial approximant of degree. 2
  Number of data points = 16

  L2 approximation error averaged per data node =  0.05439967444258589
  Graphics saved as "p2_lagcheby_2_16.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 2
  Use polynomial approximant of degree. 2
  Number of data points = 64

  L2 approximation error averaged per data node =  0.02681060186327618
  Graphics saved as "p2_lagcheby_2_64.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 2
  Use polynomial approximant of degree. 2
  Number of data points = 1000

  L2 approximation error averaged per data node =  0.006798813789715873
  Graphics saved as "p2_lagcheby_2_1000.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 2
  Use polynomial approximant of degree. 3
  Number of data points = 16

  L2 approximation error averaged per data node =  0.027061033462504887
  Graphics saved as "p2_lagcheby_3_16.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 2
  Use polynomial approximant of degree. 3
  Number of data points = 64

  L2 approximation error averaged per data node =  0.012858740695852798
  Graphics saved as "p2_lagcheby_3_64.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 2
  Use polynomial approximant of degree. 3
  Number of data points = 1000

  L2 approximation error averaged per data node =  0.0032635266404573756
  Graphics saved as "p2_lagcheby_3_1000.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 2
  Use polynomial approximant of degree. 4
  Number of data points = 16

  L2 approximation error averaged per data node =  0.025075972582660196
  Graphics saved as "p2_lagcheby_4_16.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 2
  Use polynomial approximant of degree. 4
  Number of data points = 64

  L2 approximation error averaged per data node =  0.011940166366588319
  Graphics saved as "p2_lagcheby_4_64.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 2
  Use polynomial approximant of degree. 4
  Number of data points = 1000

  L2 approximation error averaged per data node =  0.0030372607731307534
  Graphics saved as "p2_lagcheby_4_1000.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 2
  Use polynomial approximant of degree. 8
  Number of data points = 16

  L2 approximation error averaged per data node =  0.008412916879258978
  Graphics saved as "p2_lagcheby_8_16.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 2
  Use polynomial approximant of degree. 8
  Number of data points = 64

  L2 approximation error averaged per data node =  0.0035532973555974052
  Graphics saved as "p2_lagcheby_8_64.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 2
  Use polynomial approximant of degree. 8
  Number of data points = 1000

  L2 approximation error averaged per data node =  0.0009161164053963262
  Graphics saved as "p2_lagcheby_8_1000.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 2
  Use polynomial approximant of degree. 16
  Number of data points = 16

  L2 approximation error averaged per data node =  7.670413057874822e-10
  Graphics saved as "p2_lagcheby_16_16.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 2
  Use polynomial approximant of degree. 16
  Number of data points = 64

  L2 approximation error averaged per data node =  0.0013630201807121028
  Graphics saved as "p2_lagcheby_16_64.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 2
  Use polynomial approximant of degree. 16
  Number of data points = 1000

  L2 approximation error averaged per data node =  0.0003642905138462314
  Graphics saved as "p2_lagcheby_16_1000.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 3
  Use polynomial approximant of degree. 0
  Number of data points = 16

  L2 approximation error averaged per data node =  0.1772229140076178
  Graphics saved as "p3_lagcheby_0_16.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 3
  Use polynomial approximant of degree. 0
  Number of data points = 64

  L2 approximation error averaged per data node =  0.09072632956690489
  Graphics saved as "p3_lagcheby_0_64.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 3
  Use polynomial approximant of degree. 0
  Number of data points = 1000

  L2 approximation error averaged per data node =  0.02311618164480132
  Graphics saved as "p3_lagcheby_0_1000.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 3
  Use polynomial approximant of degree. 1
  Number of data points = 16

  L2 approximation error averaged per data node =  0.176218509236063
  Graphics saved as "p3_lagcheby_1_16.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 3
  Use polynomial approximant of degree. 1
  Number of data points = 64

  L2 approximation error averaged per data node =  0.09016043753279301
  Graphics saved as "p3_lagcheby_1_64.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 3
  Use polynomial approximant of degree. 1
  Number of data points = 1000

  L2 approximation error averaged per data node =  0.022967628756233774
  Graphics saved as "p3_lagcheby_1_1000.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 3
  Use polynomial approximant of degree. 2
  Number of data points = 16

  L2 approximation error averaged per data node =  0.1378463279845968
  Graphics saved as "p3_lagcheby_2_16.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 3
  Use polynomial approximant of degree. 2
  Number of data points = 64

  L2 approximation error averaged per data node =  0.06932479872625644
  Graphics saved as "p3_lagcheby_2_64.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 3
  Use polynomial approximant of degree. 2
  Number of data points = 1000

  L2 approximation error averaged per data node =  0.017550490924426707
  Graphics saved as "p3_lagcheby_2_1000.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 3
  Use polynomial approximant of degree. 3
  Number of data points = 16

  L2 approximation error averaged per data node =  0.1251201115309209
  Graphics saved as "p3_lagcheby_3_16.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 3
  Use polynomial approximant of degree. 3
  Number of data points = 64

  L2 approximation error averaged per data node =  0.06163081396516173
  Graphics saved as "p3_lagcheby_3_64.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 3
  Use polynomial approximant of degree. 3
  Number of data points = 1000

  L2 approximation error averaged per data node =  0.015474400266730009
  Graphics saved as "p3_lagcheby_3_1000.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 3
  Use polynomial approximant of degree. 4
  Number of data points = 16

  L2 approximation error averaged per data node =  0.12411118085959824
  Graphics saved as "p3_lagcheby_4_16.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 3
  Use polynomial approximant of degree. 4
  Number of data points = 64

  L2 approximation error averaged per data node =  0.06144707397488162
  Graphics saved as "p3_lagcheby_4_64.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 3
  Use polynomial approximant of degree. 4
  Number of data points = 1000

  L2 approximation error averaged per data node =  0.015448458159806494
  Graphics saved as "p3_lagcheby_4_1000.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 3
  Use polynomial approximant of degree. 8
  Number of data points = 16

  L2 approximation error averaged per data node =  2.466481554015716e-13
  Graphics saved as "p3_lagcheby_8_16.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 3
  Use polynomial approximant of degree. 8
  Number of data points = 64

  L2 approximation error averaged per data node =  4.993276899831595e-14
  Graphics saved as "p3_lagcheby_8_64.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 3
  Use polynomial approximant of degree. 8
  Number of data points = 1000

  L2 approximation error averaged per data node =  2.3059337478670108e-14
  Graphics saved as "p3_lagcheby_8_1000.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 3
  Use polynomial approximant of degree. 16
  Number of data points = 16

  L2 approximation error averaged per data node =  7.968335188034306e-14
  Graphics saved as "p3_lagcheby_16_16.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 3
  Use polynomial approximant of degree. 16
  Number of data points = 64

  L2 approximation error averaged per data node =  1.1873657767794528e-13
  Graphics saved as "p3_lagcheby_16_64.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 3
  Use polynomial approximant of degree. 16
  Number of data points = 1000

  L2 approximation error averaged per data node =  3.13333912638747e-14
  Graphics saved as "p3_lagcheby_16_1000.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 4
  Use polynomial approximant of degree. 0
  Number of data points = 16

  L2 approximation error averaged per data node =  0.3566735373294666
  Graphics saved as "p4_lagcheby_0_16.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 4
  Use polynomial approximant of degree. 0
  Number of data points = 64

  L2 approximation error averaged per data node =  0.17693364719338103
  Graphics saved as "p4_lagcheby_0_64.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 4
  Use polynomial approximant of degree. 0
  Number of data points = 1000

  L2 approximation error averaged per data node =  0.044701184621373964
  Graphics saved as "p4_lagcheby_0_1000.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 4
  Use polynomial approximant of degree. 1
  Number of data points = 16

  L2 approximation error averaged per data node =  0.1367983053545252
  Graphics saved as "p4_lagcheby_1_16.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 4
  Use polynomial approximant of degree. 1
  Number of data points = 64

  L2 approximation error averaged per data node =  0.06893676304253647
  Graphics saved as "p4_lagcheby_1_64.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 4
  Use polynomial approximant of degree. 1
  Number of data points = 1000

  L2 approximation error averaged per data node =  0.017500848070865823
  Graphics saved as "p4_lagcheby_1_1000.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 4
  Use polynomial approximant of degree. 2
  Number of data points = 16

  L2 approximation error averaged per data node =  0.11667120887222489
  Graphics saved as "p4_lagcheby_2_16.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 4
  Use polynomial approximant of degree. 2
  Number of data points = 64

  L2 approximation error averaged per data node =  0.057315713869161025
  Graphics saved as "p4_lagcheby_2_64.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 4
  Use polynomial approximant of degree. 2
  Number of data points = 1000

  L2 approximation error averaged per data node =  0.014534951023240823
  Graphics saved as "p4_lagcheby_2_1000.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 4
  Use polynomial approximant of degree. 3
  Number of data points = 16

  L2 approximation error averaged per data node =  0.08792003142012383
  Graphics saved as "p4_lagcheby_3_16.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 4
  Use polynomial approximant of degree. 3
  Number of data points = 64

  L2 approximation error averaged per data node =  0.044016761899792124
  Graphics saved as "p4_lagcheby_3_64.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 4
  Use polynomial approximant of degree. 3
  Number of data points = 1000

  L2 approximation error averaged per data node =  0.011185245320050687
  Graphics saved as "p4_lagcheby_3_1000.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 4
  Use polynomial approximant of degree. 4
  Number of data points = 16

  L2 approximation error averaged per data node =  0.0665821046861639
  Graphics saved as "p4_lagcheby_4_16.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 4
  Use polynomial approximant of degree. 4
  Number of data points = 64

  L2 approximation error averaged per data node =  0.03196440511368057
  Graphics saved as "p4_lagcheby_4_64.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 4
  Use polynomial approximant of degree. 4
  Number of data points = 1000

  L2 approximation error averaged per data node =  0.008116817124209188
  Graphics saved as "p4_lagcheby_4_1000.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 4
  Use polynomial approximant of degree. 8
  Number of data points = 16

  L2 approximation error averaged per data node =  0.035549811079364974
  Graphics saved as "p4_lagcheby_8_16.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 4
  Use polynomial approximant of degree. 8
  Number of data points = 64

  L2 approximation error averaged per data node =  0.017510969972699613
  Graphics saved as "p4_lagcheby_8_64.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 4
  Use polynomial approximant of degree. 8
  Number of data points = 1000

  L2 approximation error averaged per data node =  0.004450763920957972
  Graphics saved as "p4_lagcheby_8_1000.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 4
  Use polynomial approximant of degree. 16
  Number of data points = 16

  L2 approximation error averaged per data node =  2.9447858855286287e-09
  Graphics saved as "p4_lagcheby_16_16.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 4
  Use polynomial approximant of degree. 16
  Number of data points = 64

  L2 approximation error averaged per data node =  0.0070649801726029035
  Graphics saved as "p4_lagcheby_16_64.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 4
  Use polynomial approximant of degree. 16
  Number of data points = 1000

  L2 approximation error averaged per data node =  0.0017866410496570825
  Graphics saved as "p4_lagcheby_16_1000.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 5
  Use polynomial approximant of degree. 0
  Number of data points = 16

  L2 approximation error averaged per data node =  2.2518378223542896
  Graphics saved as "p5_lagcheby_0_16.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 5
  Use polynomial approximant of degree. 0
  Number of data points = 64

  L2 approximation error averaged per data node =  1.0373417840902701
  Graphics saved as "p5_lagcheby_0_64.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 5
  Use polynomial approximant of degree. 0
  Number of data points = 1000

  L2 approximation error averaged per data node =  0.25946831114413765
  Graphics saved as "p5_lagcheby_0_1000.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 5
  Use polynomial approximant of degree. 1
  Number of data points = 16

  L2 approximation error averaged per data node =  2.2263289664378174
  Graphics saved as "p5_lagcheby_1_16.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 5
  Use polynomial approximant of degree. 1
  Number of data points = 64

  L2 approximation error averaged per data node =  1.024206761100044
  Graphics saved as "p5_lagcheby_1_64.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 5
  Use polynomial approximant of degree. 1
  Number of data points = 1000

  L2 approximation error averaged per data node =  0.2560979076460364
  Graphics saved as "p5_lagcheby_1_1000.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 5
  Use polynomial approximant of degree. 2
  Number of data points = 16

  L2 approximation error averaged per data node =  1.3912429204618864
  Graphics saved as "p5_lagcheby_2_16.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 5
  Use polynomial approximant of degree. 2
  Number of data points = 64

  L2 approximation error averaged per data node =  0.9394758790268146
  Graphics saved as "p5_lagcheby_2_64.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 5
  Use polynomial approximant of degree. 2
  Number of data points = 1000

  L2 approximation error averaged per data node =  0.23707990957978442
  Graphics saved as "p5_lagcheby_2_1000.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 5
  Use polynomial approximant of degree. 3
  Number of data points = 16

  L2 approximation error averaged per data node =  1.3814586103737438
  Graphics saved as "p5_lagcheby_3_16.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 5
  Use polynomial approximant of degree. 3
  Number of data points = 64

  L2 approximation error averaged per data node =  0.9343291976892338
  Graphics saved as "p5_lagcheby_3_64.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 5
  Use polynomial approximant of degree. 3
  Number of data points = 1000

  L2 approximation error averaged per data node =  0.23567844136288732
  Graphics saved as "p5_lagcheby_3_1000.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 5
  Use polynomial approximant of degree. 4
  Number of data points = 16

  L2 approximation error averaged per data node =  1.0554354249566622
  Graphics saved as "p5_lagcheby_4_16.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 5
  Use polynomial approximant of degree. 4
  Number of data points = 64

  L2 approximation error averaged per data node =  0.7637553495740494
  Graphics saved as "p5_lagcheby_4_64.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 5
  Use polynomial approximant of degree. 4
  Number of data points = 1000

  L2 approximation error averaged per data node =  0.19424164919769593
  Graphics saved as "p5_lagcheby_4_1000.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 5
  Use polynomial approximant of degree. 8
  Number of data points = 16

  L2 approximation error averaged per data node =  0.5604169792951463
  Graphics saved as "p5_lagcheby_8_16.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 5
  Use polynomial approximant of degree. 8
  Number of data points = 64

  L2 approximation error averaged per data node =  0.6017168457236636
  Graphics saved as "p5_lagcheby_8_64.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 5
  Use polynomial approximant of degree. 8
  Number of data points = 1000

  L2 approximation error averaged per data node =  0.15300426849573656
  Graphics saved as "p5_lagcheby_8_1000.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 5
  Use polynomial approximant of degree. 16
  Number of data points = 16

  L2 approximation error averaged per data node =  4.211041460277768e-08
  Graphics saved as "p5_lagcheby_16_16.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 5
  Use polynomial approximant of degree. 16
  Number of data points = 64

  L2 approximation error averaged per data node =  0.4770635479567202
  Graphics saved as "p5_lagcheby_16_64.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 5
  Use polynomial approximant of degree. 16
  Number of data points = 1000

  L2 approximation error averaged per data node =  0.12142138753912023
  Graphics saved as "p5_lagcheby_16_1000.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 6
  Use polynomial approximant of degree. 0
  Number of data points = 16

  L2 approximation error averaged per data node =  0.08752749971649561
  Graphics saved as "p6_lagcheby_0_16.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 6
  Use polynomial approximant of degree. 0
  Number of data points = 64

  L2 approximation error averaged per data node =  0.044299226106163374
  Graphics saved as "p6_lagcheby_0_64.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 6
  Use polynomial approximant of degree. 0
  Number of data points = 1000

  L2 approximation error averaged per data node =  0.011247617063978218
  Graphics saved as "p6_lagcheby_0_1000.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 6
  Use polynomial approximant of degree. 1
  Number of data points = 16

  L2 approximation error averaged per data node =  0.05613891199627783
  Graphics saved as "p6_lagcheby_1_16.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 6
  Use polynomial approximant of degree. 1
  Number of data points = 64

  L2 approximation error averaged per data node =  0.02785382323429775
  Graphics saved as "p6_lagcheby_1_64.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 6
  Use polynomial approximant of degree. 1
  Number of data points = 1000

  L2 approximation error averaged per data node =  0.007022254469824955
  Graphics saved as "p6_lagcheby_1_1000.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 6
  Use polynomial approximant of degree. 2
  Number of data points = 16

  L2 approximation error averaged per data node =  0.0501105907525946
  Graphics saved as "p6_lagcheby_2_16.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 6
  Use polynomial approximant of degree. 2
  Number of data points = 64

  L2 approximation error averaged per data node =  0.025077351927545642
  Graphics saved as "p6_lagcheby_2_64.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 6
  Use polynomial approximant of degree. 2
  Number of data points = 1000

  L2 approximation error averaged per data node =  0.006339813736666403
  Graphics saved as "p6_lagcheby_2_1000.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 6
  Use polynomial approximant of degree. 3
  Number of data points = 16

  L2 approximation error averaged per data node =  0.018068519029791646
  Graphics saved as "p6_lagcheby_3_16.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 6
  Use polynomial approximant of degree. 3
  Number of data points = 64

  L2 approximation error averaged per data node =  0.009106908386978281
  Graphics saved as "p6_lagcheby_3_64.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 6
  Use polynomial approximant of degree. 3
  Number of data points = 1000

  L2 approximation error averaged per data node =  0.00230688697459025
  Graphics saved as "p6_lagcheby_3_1000.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 6
  Use polynomial approximant of degree. 4
  Number of data points = 16

  L2 approximation error averaged per data node =  0.012929645004847603
  Graphics saved as "p6_lagcheby_4_16.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 6
  Use polynomial approximant of degree. 4
  Number of data points = 64

  L2 approximation error averaged per data node =  0.006446927637149697
  Graphics saved as "p6_lagcheby_4_64.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 6
  Use polynomial approximant of degree. 4
  Number of data points = 1000

  L2 approximation error averaged per data node =  0.001625775879532988
  Graphics saved as "p6_lagcheby_4_1000.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 6
  Use polynomial approximant of degree. 8
  Number of data points = 16

  L2 approximation error averaged per data node =  0.0004379629381338967
  Graphics saved as "p6_lagcheby_8_16.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 6
  Use polynomial approximant of degree. 8
  Number of data points = 64

  L2 approximation error averaged per data node =  0.00022065887639199924
  Graphics saved as "p6_lagcheby_8_64.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 6
  Use polynomial approximant of degree. 8
  Number of data points = 1000

  L2 approximation error averaged per data node =  5.580022431255764e-05
  Graphics saved as "p6_lagcheby_8_1000.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 6
  Use polynomial approximant of degree. 16
  Number of data points = 16

  L2 approximation error averaged per data node =  6.539333572794456e-13
  Graphics saved as "p6_lagcheby_16_16.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 6
  Use polynomial approximant of degree. 16
  Number of data points = 64

  L2 approximation error averaged per data node =  1.3270374462913988e-07
  Graphics saved as "p6_lagcheby_16_64.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 6
  Use polynomial approximant of degree. 16
  Number of data points = 1000

  L2 approximation error averaged per data node =  3.3488697534286005e-08
  Graphics saved as "p6_lagcheby_16_1000.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 7
  Use polynomial approximant of degree. 0
  Number of data points = 16

  L2 approximation error averaged per data node =  0.42037971640718164
  Graphics saved as "p7_lagcheby_0_16.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 7
  Use polynomial approximant of degree. 0
  Number of data points = 64

  L2 approximation error averaged per data node =  0.21743562728127527
  Graphics saved as "p7_lagcheby_0_64.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 7
  Use polynomial approximant of degree. 0
  Number of data points = 1000

  L2 approximation error averaged per data node =  0.055357599427946505
  Graphics saved as "p7_lagcheby_0_1000.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 7
  Use polynomial approximant of degree. 1
  Number of data points = 16

  L2 approximation error averaged per data node =  0.37560299978705997
  Graphics saved as "p7_lagcheby_1_16.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 7
  Use polynomial approximant of degree. 1
  Number of data points = 64

  L2 approximation error averaged per data node =  0.19494712389115326
  Graphics saved as "p7_lagcheby_1_64.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 7
  Use polynomial approximant of degree. 1
  Number of data points = 1000

  L2 approximation error averaged per data node =  0.04961046647620676
  Graphics saved as "p7_lagcheby_1_1000.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 7
  Use polynomial approximant of degree. 2
  Number of data points = 16

  L2 approximation error averaged per data node =  0.3262026004680452
  Graphics saved as "p7_lagcheby_2_16.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 7
  Use polynomial approximant of degree. 2
  Number of data points = 64

  L2 approximation error averaged per data node =  0.17025422588662423
  Graphics saved as "p7_lagcheby_2_64.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 7
  Use polynomial approximant of degree. 2
  Number of data points = 1000

  L2 approximation error averaged per data node =  0.043377128960126
  Graphics saved as "p7_lagcheby_2_1000.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 7
  Use polynomial approximant of degree. 3
  Number of data points = 16

  L2 approximation error averaged per data node =  0.2676613413279531
  Graphics saved as "p7_lagcheby_3_16.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 7
  Use polynomial approximant of degree. 3
  Number of data points = 64

  L2 approximation error averaged per data node =  0.14273866931315052
  Graphics saved as "p7_lagcheby_3_64.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 7
  Use polynomial approximant of degree. 3
  Number of data points = 1000

  L2 approximation error averaged per data node =  0.03641441467508463
  Graphics saved as "p7_lagcheby_3_1000.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 7
  Use polynomial approximant of degree. 4
  Number of data points = 16

  L2 approximation error averaged per data node =  0.25609317346184435
  Graphics saved as "p7_lagcheby_4_16.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 7
  Use polynomial approximant of degree. 4
  Number of data points = 64

  L2 approximation error averaged per data node =  0.13678225424369797
  Graphics saved as "p7_lagcheby_4_64.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 7
  Use polynomial approximant of degree. 4
  Number of data points = 1000

  L2 approximation error averaged per data node =  0.034906825943220914
  Graphics saved as "p7_lagcheby_4_1000.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 7
  Use polynomial approximant of degree. 8
  Number of data points = 16

  L2 approximation error averaged per data node =  0.16973770655787068
  Graphics saved as "p7_lagcheby_8_16.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 7
  Use polynomial approximant of degree. 8
  Number of data points = 64

  L2 approximation error averaged per data node =  0.1008252591490635
  Graphics saved as "p7_lagcheby_8_64.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 7
  Use polynomial approximant of degree. 8
  Number of data points = 1000

  L2 approximation error averaged per data node =  0.025873575124420796
  Graphics saved as "p7_lagcheby_8_1000.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 7
  Use polynomial approximant of degree. 16
  Number of data points = 16

  L2 approximation error averaged per data node =  1.1956457128994634e-08
  Graphics saved as "p7_lagcheby_16_16.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 7
  Use polynomial approximant of degree. 16
  Number of data points = 64

  L2 approximation error averaged per data node =  0.07064093355802181
  Graphics saved as "p7_lagcheby_16_64.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 7
  Use polynomial approximant of degree. 16
  Number of data points = 1000

  L2 approximation error averaged per data node =  0.018515338950051512
  Graphics saved as "p7_lagcheby_16_1000.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 8
  Use polynomial approximant of degree. 0
  Number of data points = 16

  L2 approximation error averaged per data node =  0.06018188103306205
  Graphics saved as "p8_lagcheby_0_16.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 8
  Use polynomial approximant of degree. 0
  Number of data points = 64

  L2 approximation error averaged per data node =  0.0313149722358775
  Graphics saved as "p8_lagcheby_0_64.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 8
  Use polynomial approximant of degree. 0
  Number of data points = 1000

  L2 approximation error averaged per data node =  0.007957980608701112
  Graphics saved as "p8_lagcheby_0_1000.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 8
  Use polynomial approximant of degree. 1
  Number of data points = 16

  L2 approximation error averaged per data node =  0.06018188103306205
  Graphics saved as "p8_lagcheby_1_16.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 8
  Use polynomial approximant of degree. 1
  Number of data points = 64

  L2 approximation error averaged per data node =  0.0313149722358775
  Graphics saved as "p8_lagcheby_1_64.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 8
  Use polynomial approximant of degree. 1
  Number of data points = 1000

  L2 approximation error averaged per data node =  0.007957980608701112
  Graphics saved as "p8_lagcheby_1_1000.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 8
  Use polynomial approximant of degree. 2
  Number of data points = 16

  L2 approximation error averaged per data node =  0.03956504213702002
  Graphics saved as "p8_lagcheby_2_16.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 8
  Use polynomial approximant of degree. 2
  Number of data points = 64

  L2 approximation error averaged per data node =  0.021044175156614976
  Graphics saved as "p8_lagcheby_2_64.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 8
  Use polynomial approximant of degree. 2
  Number of data points = 1000

  L2 approximation error averaged per data node =  0.005348385091590057
  Graphics saved as "p8_lagcheby_2_1000.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 8
  Use polynomial approximant of degree. 3
  Number of data points = 16

  L2 approximation error averaged per data node =  0.03956504213702002
  Graphics saved as "p8_lagcheby_3_16.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 8
  Use polynomial approximant of degree. 3
  Number of data points = 64

  L2 approximation error averaged per data node =  0.021044175156614976
  Graphics saved as "p8_lagcheby_3_64.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 8
  Use polynomial approximant of degree. 3
  Number of data points = 1000

  L2 approximation error averaged per data node =  0.0053483850915900565
  Graphics saved as "p8_lagcheby_3_1000.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 8
  Use polynomial approximant of degree. 4
  Number of data points = 16

  L2 approximation error averaged per data node =  0.02553430867541187
  Graphics saved as "p8_lagcheby_4_16.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 8
  Use polynomial approximant of degree. 4
  Number of data points = 64

  L2 approximation error averaged per data node =  0.01414210755123917
  Graphics saved as "p8_lagcheby_4_64.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 8
  Use polynomial approximant of degree. 4
  Number of data points = 1000

  L2 approximation error averaged per data node =  0.0035945329021349584
  Graphics saved as "p8_lagcheby_4_1000.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 8
  Use polynomial approximant of degree. 8
  Number of data points = 16

  L2 approximation error averaged per data node =  0.009228411807027086
  Graphics saved as "p8_lagcheby_8_16.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 8
  Use polynomial approximant of degree. 8
  Number of data points = 64

  L2 approximation error averaged per data node =  0.0063868227120074585
  Graphics saved as "p8_lagcheby_8_64.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 8
  Use polynomial approximant of degree. 8
  Number of data points = 1000

  L2 approximation error averaged per data node =  0.0016236112526435476
  Graphics saved as "p8_lagcheby_8_1000.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 8
  Use polynomial approximant of degree. 16
  Number of data points = 16

  L2 approximation error averaged per data node =  1.2899151562703776e-10
  Graphics saved as "p8_lagcheby_16_16.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 8
  Use polynomial approximant of degree. 16
  Number of data points = 64

  L2 approximation error averaged per data node =  0.0013027091431724713
  Graphics saved as "p8_lagcheby_16_64.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem . 8
  Use polynomial approximant of degree. 16
  Number of data points = 1000

  L2 approximation error averaged per data node =  0.00033125399392044133
  Graphics saved as "p8_lagcheby_16_1000.png".

lagrange_approx_1d_test():
  Normal end of execution.
Tue Aug 27 15:58:48 2024