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Experiment Crossover Max Overall PT Max at G50 2T Success (Gen

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					       Experiment    Crossover      Max Overall       PT         Max at G50       2T     Success (Gen)

         4PAR         UNIXO       0.0854 (±0.0376)        -   0.0859 (±0.0594)     -       44% (G9)
                    UNIXO-SDC    0.0653 (±0.0487)     0.00    0.0222 (±0.0360)   0.00     69% (G10)

         5MAJ         UNIXO       0.0429 (±0.0414)        -   0.0144 (±0.0215)     -      63% (G8)
                    UNIXO-SDC    0.0282 (±0.0455)     0.00    0.0006 (±0.0044)   0.00     98% (G7)

         6MUX         UNIXO       0.0684 (±0.0534)        -   0.0291 (±0.0431)     -      62% (G8)
                    UNIXO-SDC    0.0484 (±0.0622)     0.00    0.0094 (±0.0285)   0.00     88% (G6)

         7PAR         UNIXO       0.3533 (±0.0588)        -   0.2696 (±0.0277)     -        0% 
                    UNIXO-SDC    0.3382 (±0.0682)     0.00    0.2394 (±0.0493)   0.00       0% 

         9MAJ         UNIXO       0.1307 (±0.0460)        -   0.0796 (±0.0098)     -        0% 
                    UNIXO-SDC    0.1258 (±0.0482)     0.00    0.0718 (±0.0088)   0.00       0% 

         11MUX        UNIXO       0.1014 (±0.0954)        -   0.0301 (±0.0351)     -      49% (G15)
                    UNIXO-SDC    0.0910 (±0.1033)     0.00    0.0098 (±0.0204)   0.00     76% (G18)

         AASF         UNIXO       0.3409 (±0.0782)        -   0.2719 (±0.1292)   0.98     10% (G1)
                    UNIXO-SDC    0.3367 (±0.0774)     0.00    0.2730 (±0.1371)   0.98     11% (G3)

         CUBIC        UNIXO       877.47 (±261.54)        -   579.33 (±199.53)     -        0% 
                    UNIXO-SDC    807.70 (±288.77)     0.00    493.78 (±212.55)   0.004      0% 

        QUART         UNIXO      1288.83 (±599.18)        -   721.37 (±287.42)   0.338       0% 
                    UNIXO-SDC    1246.77 (±605.85)    0.00    682.69 (±282.01)   0.338       0% 

Table 6.1: Experiment indicates the test problem being tackled. Crossover indicates the type
of crossover being used. Max Overall indicates the average of maximum scores (standardised
tness so 0 is best score) (with standard deviation in brackets). PT indicates the P-Value of a
Paired T-test comparing two experiments. In the event that one result is statistically superior
to another, the P-Value will be aligned with the better result. Max at G50 indicates the mean
of the maximum scores at generation 50 (with standard deviation in brackets). 2T indicates
the P-Value result of a 2 sample T-test. In the case of statistical signicance, the P-Value is
aligned with the best result. Success indicates the number of runs that reached full score and
(Gen) indicates the earliest generation at which full score was achieved.




                                                     91
      Experiment    Crossover      Max Overall           PT        Max at G50       2T     Success (Gen)

        4PAR         KOZAXO      0.0854 (±0.0378)         -     0.0506 (±0.0522)     -      43% (G12)
                   KOZAXO-SDC   0.0562 (±0.0512)         0.00   0.0131 (±0.0285)   0.00     81% (G6)

        5MAJ         KOZAXO      0.0364 (±0.0406)         -     0.0125 (±0.0199)     -      68% (G7)
                   KOZAXO-SDC   0.0266 (±0.0435)         0.00   0.0019 (±0.0075)   0.00     94% (G6)

        6MUX         KOZAXO      0.0732 (±0.0521)         -     0.0406 (±0.0578)     -      56% (G6)
                   KOZAXO-SDC   0.0457 (±0.0634)         0.00   0.0061 (±0.0186)   0.00     87% (G3)

        7PAR         KOZAXO      0.3461 (±0.0611)         -     0.2588 (±0.0252)     -        0% 
                   KOZAXO-SDC   0.3378 (±0.0660)         0.00   0.2438 (±0.0320)   0.00       0% 

        9MAJ         KOZAXO      0.1217 (±0.0477)         -     0.0707 (±0.0116)     -        0% 
                   KOZAXO-SDC   0.1168 (±0.0493)         0.00   0.0640 (±0.0095)   0.00       0% 

        11MUX        KOZAXO      0.0973 (±0.0905)         -     0.0327 (±0.0353)     -      46% (G16)
                   KOZAXO-SDC   0.0873 (±0.0999)         0.00   0.0102 (±0.0214)   0.00     77% (G15)

        AASF         KOZAXO      0.2985 (±0.1113)        0.19   0.2985 (±0.1113)   0.19     3% (G1)
                   KOZAXO-SDC    0.2768 (±0.1264)        0.19   0.2764 (±0.1258)   0.19     5% (G11)

        CUBIC        KOZAXO      816.26 (±287.25)         -     498.64 (±204.69)     -        0% 
                   KOZAXO-SDC   771.97 (±302.31)         0.00   440.36 (±195.14)   0.041      0% 

        QUART        KOZAXO     1258.54 (±596.09)         -     711.89 (±311.47)   0.087       0% 
                   KOZAXO-SDC   1210.30 (±288.71)        0.00   637.57 (±268.58)   0.087       0% 

Table 6.2: Experiment indicates the test problem being tackled. Crossover indicates the type
of crossover being used. Max Overall indicates the average of maximum scores (standardised
tness so 0 is best score) (with standard deviation in brackets). PT indicates the P-Value of a
Paired T-test comparing two experiments. In the event that one result is statistically superior
to another, the P-Value will be aligned with the better result. Max at G50 indicates the mean
of the maximum scores at generation 50 (with standard deviation in brackets). 2T indicates
the P-Value result of a 2 sample T-test. In the case of statistical signicance, the P-Value is
aligned with the best result. Success indicates the number of runs that reached full score and
(Gen) indicates the earliest generation at which full score was achieved.




                                                    92
                         Experiment    Crossover    Mean Program Length    PT

                           4PAR         UNIXO           186.76 (±59.49)     -
                                      UNIXO-SDC         117.05 (±29.20)    0.00

                           5MAJ         UNIXO           132.15 (±56.36)     -
                                      UNIXO-SDC          81.05 (±29.46)    0.00

                           6MUX         UNIXO            88.77 (±38.05)     -
                                      UNIXO-SDC          48.98 (±13.50)    0.00

                           7PAR         UNIXO           342.50 (±121.58)    -
                                      UNIXO-SDC         274.06 (±93.95)    0.00

                           9MAJ         UNIXO           254.82 (±140.86)    -
                                      UNIXO-SDC         245.67 (±146.31)   0.00

                          11MUX         UNIXO            101.13 (±53.38)    -
                                      UNIXO-SDC          75.08 (±34.56)    0.00

                           AASF         UNIXO           106.38 (±24.27)    0.00
                                      UNIXO-SDC         125.68 (±29.11)     -

                          CUBIC         UNIXO            137.43 (±46.52)    -
                                      UNIXO-SDC         133.80 (±48.09)    0.00

                          QUART         UNIXO           129.81 (±44.30)    0.00
                                      UNIXO-SDC         133.67 (±46.24)     -

Table 6.3: Exp indicates the test problem being studied. Crossover is the type of crossover
being used. Mean Program Length is the mean number of nodes present in the trees in all
generations. PT is the P-Value result of a Paired T-test. In the case of statistical signicance
the P-Value is aligned with the best result.




                                                   93
                       Experiment    Crossover    Mean Program Length     PT

                         4PAR         KOZAXO           239.22 (±86.77)     -
                                    KOZAXO-SDC        151.28 (±44.52)    0.00

                         5MAJ         KOZAXO           181.64 (±83.13)     -
                                    KOZAXO-SDC        104.59 (±38.92)    0.00

                         6MUX         KOZAXO           117.88 (±56.19)     -
                                    KOZAXO-SDC         79.35 (±29.81)    0.00

                         7PAR         KOZAXO          432.03 (±180.23)     -
                                    KOZAXO-SDC        362.02 (±151.61)   0.00

                         9MAJ         KOZAXO          356.25 (±204.41)     -
                                    KOZAXO-SDC        351.40 (±212.41)   0.019

                         11MUX        KOZAXO           128.95 (±75.20)     -
                                    KOZAXO-SDC        101.74 (±47.72)    0.00

                         AASF         KOZAXO          127.81 (±33.92)    0.00
                                    KOZAXO-SDC         148.04 (±38.44)     -

                         CUBIC        KOZAXO          161.87 (±62.33)    0.01
                                    KOZAXO-SDC         163.56 (±60.70)     -

                         QUART        KOZAXO          168.51 (±62.69)    0.00
                                    KOZAXO-SDC         180.71 (±72.64)     -

Table 6.4: Exp indicates the test problem being studied. Crossover is the type of crossover
being used. Mean Program Length is the mean number of nodes present in the trees in all
generations. PT is the P-Value result of a Paired T-test. In the case of statistical signicance
the P-Value is aligned with the best result.




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Description: Experiment Crossover Max Overall PT Max at G50 2T Success (Gen