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2.2.1 Integrals 1 to 100

Detailed conclusion table per each integral is given by table below. The elapsed time is in seconds. For failed result it is given as F(-1) if the failure was due to timeout. It is given as F(-2) if the failure was due to an exception being raised, which could indicate a bug in the system. If the failure was due to integral not being evaluated within the time limit, then it is given just an F.

In this table,the column N.S. in the table below, which stands for normalized size is defined as \(\frac {\text {antiderivative leaf size}}{\text {optimal antiderivative leaf size}}\). To help make the table fit, Mathematica was abbreviated to MMA.

Problem 1

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A C F(-2) F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

93 93 55 52 68 61 76 0 -1

N.S.

1 1.00 0.59 0.56 0.73 0.66 0.82 0.00 -0.01

time (sec)

N/A 0.025 0.029 1.464 0.263 0.344 0.318 0.000 0.000

Problem 2

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A C F(-2) F

verified

N/A Yes NO TBD TBD TBD TBD TBD TBD

size

77 77 71 98 77 59 68 0 -1

N.S.

1 1.00 0.92 1.27 1.00 0.77 0.88 0.00 -0.01

time (sec)

N/A 0.022 0.045 1.484 0.260 0.343 0.202 0.000 0.000

Problem 3

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A C F(-2) F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

65 65 46 43 48 52 54 0 -1

N.S.

1 1.00 0.71 0.66 0.74 0.80 0.83 0.00 -0.02

time (sec)

N/A 0.017 0.019 1.473 0.265 0.364 0.127 0.000 0.000

Problem 4

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A C A B

verified

N/A Yes NO TBD TBD TBD TBD TBD TBD

size

49 49 61 76 56 48 44 70 39

N.S.

1 1.00 1.24 1.55 1.14 0.98 0.90 1.43 0.80

time (sec)

N/A 0.011 0.019 1.464 0.286 0.349 0.085 0.397 0.040

Problem 5

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A C A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

30 30 30 29 25 37 26 35 26

N.S.

1 1.00 1.00 0.97 0.83 1.23 0.87 1.17 0.87

time (sec)

N/A 0.005 0.048 0.273 0.288 0.333 0.057 0.384 0.318

Problem 6

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F F F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

43 43 42 66 0 0 0 0 -1

N.S.

1 1.00 0.98 1.53 0.00 0.00 0.00 0.00 -0.02

time (sec)

N/A 0.040 0.027 2.015 0.000 0.000 0.000 0.000 0.000

Problem 7

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A B F A F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

32 32 57 55 22 65 0 36 -1

N.S.

1 1.00 1.78 1.72 0.69 2.03 0.00 1.12 -0.03

time (sec)

N/A 0.013 0.020 1.473 0.464 0.365 0.000 0.392 0.000

Problem 8

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F A F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

38 38 35 40 27 38 0 50 -1

N.S.

1 1.00 0.92 1.05 0.71 1.00 0.00 1.32 -0.03

time (sec)

N/A 0.009 0.007 1.460 0.476 0.361 0.000 0.412 0.000

Problem 9

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F A F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

65 65 78 84 43 90 0 62 -1

N.S.

1 1.00 1.20 1.29 0.66 1.38 0.00 0.95 -0.02

time (sec)

N/A 0.020 0.056 2.033 0.450 0.446 0.000 0.395 0.000

Problem 10

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F A F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

66 66 45 50 48 48 0 77 -1

N.S.

1 1.00 0.68 0.76 0.73 0.73 0.00 1.17 -0.02

time (sec)

N/A 0.016 0.017 1.668 0.466 0.463 0.000 0.397 0.000

Problem 11

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F A F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

93 93 104 104 63 101 0 85 -1

N.S.

1 1.00 1.12 1.12 0.68 1.09 0.00 0.91 -0.01

time (sec)

N/A 0.028 0.032 1.492 0.460 0.363 0.000 0.397 0.000

Problem 12

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A F A A A F(-2) F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

132 132 80 0 99 99 122 0 -1

N.S.

1 1.00 0.61 0.00 0.75 0.75 0.92 0.00 -0.01

time (sec)

N/A 0.314 0.081 180.000 0.261 0.345 0.475 0.000 0.000

Problem 13

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F A A F(-2) F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

106 106 77 81 0 92 99 0 -1

N.S.

1 1.00 0.73 0.76 0.00 0.87 0.93 0.00 -0.01

time (sec)

N/A 0.282 0.054 1.682 0.000 0.376 0.331 0.000 0.000

Problem 14

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A F A A A F(-2) F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

90 90 64 0 70 82 85 0 -1

N.S.

1 1.00 0.71 0.00 0.78 0.91 0.94 0.00 -0.01

time (sec)

N/A 0.199 0.072 180.000 0.259 0.372 0.194 0.000 0.000

Problem 15

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F A A F(-2) F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

64 64 58 58 0 73 60 0 -1

N.S.

1 1.00 0.91 0.91 0.00 1.14 0.94 0.00 -0.02

time (sec)

N/A 0.162 0.037 1.636 0.000 0.334 0.126 0.000 0.000

Problem 16

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

39 39 39 39 32 59 39 62 -1

N.S.

1 1.00 1.00 1.00 0.82 1.51 1.00 1.59 -0.03

time (sec)

N/A 0.082 0.018 1.770 0.256 0.341 0.079 0.399 0.000

Problem 17

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F F F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

62 62 63 98 0 0 0 0 -1

N.S.

1 1.00 1.02 1.58 0.00 0.00 0.00 0.00 -0.02

time (sec)

N/A 0.061 0.023 1.808 0.000 0.000 0.000 0.000 0.000

Problem 18

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F F F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

60 60 92 138 0 0 0 0 -1

N.S.

1 1.00 1.53 2.30 0.00 0.00 0.00 0.00 -0.02

time (sec)

N/A 0.140 0.196 4.605 0.000 0.000 0.000 0.000 0.000

Problem 19

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F B F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

48 48 48 81 39 65 0 98 -1

N.S.

1 1.00 1.00 1.69 0.81 1.35 0.00 2.04 -0.02

time (sec)

N/A 0.128 0.015 3.673 0.465 0.337 0.000 0.426 0.000

Problem 20

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F F F F F

verified

N/A Yes NO TBD TBD TBD TBD TBD TBD

size

114 114 144 171 0 0 0 0 -1

N.S.

1 1.00 1.26 1.50 0.00 0.00 0.00 0.00 -0.01

time (sec)

N/A 0.256 0.185 4.670 0.000 0.000 0.000 0.000 0.000

Problem 21

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F A F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

95 95 69 123 72 85 0 147 -1

N.S.

1 1.00 0.73 1.29 0.76 0.89 0.00 1.55 -0.01

time (sec)

N/A 0.232 0.061 4.153 0.473 0.381 0.000 0.447 0.000

Problem 22

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A F A A C F(-2) F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

231 231 130 0 165 151 206 0 -1

N.S.

1 1.00 0.56 0.00 0.71 0.65 0.89 0.00 -0.00

time (sec)

N/A 0.488 0.082 180.000 0.277 0.385 0.704 0.000 0.000

Problem 23

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A F F A C F(-2) F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

183 183 143 0 0 142 170 0 -1

N.S.

1 1.00 0.78 0.00 0.00 0.78 0.93 0.00 -0.01

time (sec)

N/A 0.425 0.100 180.000 0.000 0.334 0.474 0.000 0.000

Problem 24

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A F A A C F(-2) F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

155 155 103 0 116 124 138 0 -1

N.S.

1 1.00 0.66 0.00 0.75 0.80 0.89 0.00 -0.01

time (sec)

N/A 0.305 0.071 180.000 0.265 0.348 0.319 0.000 0.000

Problem 25

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F A C F(-2) F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

107 107 113 88 0 112 102 0 -1

N.S.

1 1.00 1.06 0.82 0.00 1.05 0.95 0.00 -0.01

time (sec)

N/A 0.240 0.060 1.656 0.000 0.346 0.192 0.000 0.000

Problem 26

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A C A F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

68 68 68 61 57 90 63 98 -1

N.S.

1 1.00 1.00 0.90 0.84 1.32 0.93 1.44 -0.01

time (sec)

N/A 0.115 0.019 1.782 0.250 0.407 0.122 0.401 0.000

Problem 27

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F F F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

87 87 82 132 0 0 0 0 -1

N.S.

1 1.00 0.94 1.52 0.00 0.00 0.00 0.00 -0.01

time (sec)

N/A 0.074 0.037 2.566 0.000 0.000 0.000 0.000 0.000

Problem 28

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A F F F F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

104 104 128 0 0 0 0 0 -1

N.S.

1 1.00 1.23 0.00 0.00 0.00 0.00 0.00 -0.01

time (sec)

N/A 0.203 0.127 1.899 0.000 0.000 0.000 0.000 0.000

Problem 29

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F F F F(-2) F

verified

N/A Yes NO TBD TBD TBD TBD TBD TBD

size

98 98 92 116 0 0 0 0 -1

N.S.

1 1.00 0.94 1.18 0.00 0.00 0.00 0.00 -0.01

time (sec)

N/A 0.216 0.574 3.599 0.000 0.000 0.000 0.000 0.000

Problem 30

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A F F F F F F

verified

N/A Yes NO TBD TBD TBD TBD TBD TBD

size

183 183 201 0 0 0 0 0 -1

N.S.

1 1.00 1.10 0.00 0.00 0.00 0.00 0.00 -0.01

time (sec)

N/A 0.383 0.401 3.050 0.000 0.000 0.000 0.000 0.000

Problem 31

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F F F F(-2) F

verified

N/A Yes NO TBD TBD TBD TBD TBD TBD

size

174 174 220 191 0 0 0 0 -1

N.S.

1 1.00 1.26 1.10 0.00 0.00 0.00 0.00 -0.01

time (sec)

N/A 0.384 0.450 4.013 0.000 0.000 0.000 0.000 0.000

Problem 32

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A F F A A F(-2) F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

306 306 175 0 0 208 275 0 -1

N.S.

1 1.00 0.57 0.00 0.00 0.68 0.90 0.00 -0.00

time (sec)

N/A 1.394 0.117 180.000 0.000 0.367 1.512 0.000 0.000

Problem 33

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A F A A A F(-2) F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

274 274 158 0 201 189 248 0 -1

N.S.

1 1.00 0.58 0.00 0.73 0.69 0.91 0.00 -0.00

time (sec)

N/A 1.030 0.092 180.000 0.282 0.371 1.024 0.000 0.000

Problem 34

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A F F A A F(-2) F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

214 214 143 0 0 176 197 0 -1

N.S.

1 1.00 0.67 0.00 0.00 0.82 0.92 0.00 -0.00

time (sec)

N/A 0.845 0.083 180.000 0.000 0.349 0.697 0.000 0.000

Problem 35

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A F A A A F(-2) F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

182 182 122 0 143 154 165 0 -1

N.S.

1 1.00 0.67 0.00 0.79 0.85 0.91 0.00 -0.01

time (sec)

N/A 0.573 0.081 180.000 0.271 0.367 0.469 0.000 0.000

Problem 36

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F A A F(-2) F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

120 120 104 104 0 138 110 0 -1

N.S.

1 1.00 0.87 0.87 0.00 1.15 0.92 0.00 -0.01

time (sec)

N/A 0.396 0.055 1.753 0.000 0.361 0.318 0.000 0.000

Problem 37

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

77 77 77 71 73 112 70 125 -1

N.S.

1 1.00 1.00 0.92 0.95 1.45 0.91 1.62 -0.01

time (sec)

N/A 0.195 0.022 1.805 0.274 0.448 0.173 0.461 0.000

Problem 38

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F F F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

103 103 103 165 0 0 0 0 -1

N.S.

1 1.00 1.00 1.60 0.00 0.00 0.00 0.00 -0.01

time (sec)

N/A 0.086 0.024 2.007 0.000 0.000 0.000 0.000 0.000

Problem 39

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A B F F F F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

150 150 478 0 0 0 0 0 -1

N.S.

1 1.00 3.19 0.00 0.00 0.00 0.00 0.00 -0.01

time (sec)

N/A 0.228 0.462 1.849 0.000 0.000 0.000 0.000 0.000

Problem 40

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F F F F(-2) F

verified

N/A Yes NO TBD TBD TBD TBD TBD TBD

size

115 115 112 149 0 0 0 0 -1

N.S.

1 1.00 0.97 1.30 0.00 0.00 0.00 0.00 -0.01

time (sec)

N/A 0.243 0.772 3.642 0.000 0.000 0.000 0.000 0.000

Problem 41

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A B F F F F F F

verified

N/A Yes NO TBD TBD TBD TBD TBD TBD

size

268 268 595 0 0 0 0 0 -1

N.S.

1 1.00 2.22 0.00 0.00 0.00 0.00 0.00 -0.00

time (sec)

N/A 0.533 2.148 3.149 0.000 0.000 0.000 0.000 0.000

Problem 42

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F F F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

55 55 40 40 0 0 0 0 -1

N.S.

1 1.00 0.73 0.73 0.00 0.00 0.00 0.00 -0.02

time (sec)

N/A 0.071 0.088 2.398 0.000 0.000 0.000 0.000 0.000

Problem 43

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F F F F(-2) F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

43 43 33 33 0 0 0 0 -1

N.S.

1 1.00 0.77 0.77 0.00 0.00 0.00 0.00 -0.02

time (sec)

N/A 0.061 0.073 2.280 0.000 0.000 0.000 0.000 0.000

Problem 44

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F F F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

41 41 31 31 0 0 0 0 -1

N.S.

1 1.00 0.76 0.76 0.00 0.00 0.00 0.00 -0.02

time (sec)

N/A 0.061 0.068 2.476 0.000 0.000 0.000 0.000 0.000

Problem 45

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F F F F(-2) F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

29 29 24 24 0 0 0 0 -1

N.S.

1 1.00 0.83 0.83 0.00 0.00 0.00 0.00 -0.03

time (sec)

N/A 0.052 0.055 2.119 0.000 0.000 0.000 0.000 0.000

Problem 46

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F F F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

27 27 20 22 0 0 0 0 -1

N.S.

1 1.00 0.74 0.81 0.00 0.00 0.00 0.00 -0.04

time (sec)

N/A 0.049 0.045 1.697 0.000 0.000 0.000 0.000 0.000

Problem 47

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F F F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

14 14 14 13 0 0 0 0 -1

N.S.

1 1.00 1.00 0.93 0.00 0.00 0.00 0.00 -0.07

time (sec)

N/A 0.028 0.020 2.261 0.000 0.000 0.000 0.000 0.000

Problem 48

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F F F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

9 9 9 10 0 0 0 0 -1

N.S.

1 1.00 1.00 1.11 0.00 0.00 0.00 0.00 -0.11

time (sec)

N/A 0.012 0.021 1.665 0.000 0.000 0.000 0.000 0.000

Problem 49

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A A

verified

N/A N/A N/A TBD TBD TBD TBD TBD TBD

size

13 0 0 0 0 0 0 0 -1

N.S.

1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.08

time (sec)

N/A 0.010 0.155 0.941 0.000 0.000 0.000 0.000 0.000

Problem 50

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A A

verified

N/A N/A N/A TBD TBD TBD TBD TBD TBD

size

13 0 0 0 0 0 0 0 -1

N.S.

1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.08

time (sec)

N/A 0.011 0.336 1.929 0.000 0.000 0.000 0.000 0.000

Problem 51

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F F F F F

verified

N/A Yes NO TBD TBD TBD TBD TBD TBD

size

73 73 101 83 0 0 0 0 -1

N.S.

1 1.00 1.38 1.14 0.00 0.00 0.00 0.00 -0.01

time (sec)

N/A 0.046 0.159 2.392 0.000 0.000 0.000 0.000 0.000

Problem 52

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F F F F(-2) F

verified

N/A Yes NO TBD TBD TBD TBD TBD TBD

size

61 61 58 54 0 0 0 0 -1

N.S.

1 1.00 0.95 0.89 0.00 0.00 0.00 0.00 -0.02

time (sec)

N/A 0.036 0.183 2.084 0.000 0.000 0.000 0.000 0.000

Problem 53

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F F F F F

verified

N/A Yes NO TBD TBD TBD TBD TBD TBD

size

59 59 58 59 0 0 0 0 -1

N.S.

1 1.00 0.98 1.00 0.00 0.00 0.00 0.00 -0.02

time (sec)

N/A 0.035 0.176 2.486 0.000 0.000 0.000 0.000 0.000

Problem 54

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F F F F F

verified

N/A Yes NO TBD TBD TBD TBD TBD TBD

size

42 42 44 28 0 0 0 0 -1

N.S.

1 1.00 1.05 0.67 0.00 0.00 0.00 0.00 -0.02

time (sec)

N/A 0.018 0.175 2.454 0.000 0.000 0.000 0.000 0.000

Problem 55

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F F F F F

verified

N/A Yes NO TBD TBD TBD TBD TBD TBD

size

39 39 60 33 0 0 0 0 -1

N.S.

1 1.00 1.54 0.85 0.00 0.00 0.00 0.00 -0.03

time (sec)

N/A 0.123 0.090 1.818 0.000 0.000 0.000 0.000 0.000

Problem 56

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A A

verified

N/A N/A N/A TBD TBD TBD TBD TBD TBD

size

13 0 0 0 0 0 0 0 -1

N.S.

1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.08

time (sec)

N/A 0.010 3.215 180.000 0.000 0.000 0.000 0.000 0.000

Problem 57

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A A

verified

N/A N/A N/A TBD TBD TBD TBD TBD TBD

size

13 0 0 0 0 0 0 0 -1

N.S.

1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.08

time (sec)

N/A 0.010 5.882 1.816 0.000 0.000 0.000 0.000 0.000

Problem 58

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F F F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

102 102 107 123 0 0 0 0 -1

N.S.

1 1.00 1.05 1.21 0.00 0.00 0.00 0.00 -0.01

time (sec)

N/A 0.434 0.119 2.322 0.000 0.000 0.000 0.000 0.000

Problem 59

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F F F F(-2) F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

87 87 75 82 0 0 0 0 -1

N.S.

1 1.00 0.86 0.94 0.00 0.00 0.00 0.00 -0.01

time (sec)

N/A 0.393 0.128 2.078 0.000 0.000 0.000 0.000 0.000

Problem 60

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F F F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

85 85 69 84 0 0 0 0 -1

N.S.

1 1.00 0.81 0.99 0.00 0.00 0.00 0.00 -0.01

time (sec)

N/A 0.332 0.119 1.853 0.000 0.000 0.000 0.000 0.000

Problem 61

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F F F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

68 68 67 43 0 0 0 0 -1

N.S.

1 1.00 0.99 0.63 0.00 0.00 0.00 0.00 -0.01

time (sec)

N/A 0.258 0.036 2.293 0.000 0.000 0.000 0.000 0.000

Problem 62

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F F F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

55 55 55 45 0 0 0 0 -1

N.S.

1 1.00 1.00 0.82 0.00 0.00 0.00 0.00 -0.02

time (sec)

N/A 0.125 0.033 2.504 0.000 0.000 0.000 0.000 0.000

Problem 63

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A A

verified

N/A N/A N/A TBD TBD TBD TBD TBD TBD

size

13 0 0 0 0 0 0 0 -1

N.S.

1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.08

time (sec)

N/A 0.009 0.520 180.000 0.000 0.000 0.000 0.000 0.000

Problem 64

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A A

verified

N/A N/A N/A TBD TBD TBD TBD TBD TBD

size

13 0 0 0 0 0 0 0 -1

N.S.

1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.08

time (sec)

N/A 0.010 1.648 1.832 0.000 0.000 0.000 0.000 0.000

Problem 65

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A B A F F F F F

verified

N/A Yes NO TBD TBD TBD TBD TBD TBD

size

170 170 356 175 0 0 0 0 -1

N.S.

1 1.00 2.09 1.03 0.00 0.00 0.00 0.00 -0.01

time (sec)

N/A 0.408 0.283 2.326 0.000 0.000 0.000 0.000 0.000

Problem 66

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F F F F(-2) F

verified

N/A Yes NO TBD TBD TBD TBD TBD TBD

size

155 155 188 114 0 0 0 0 -1

N.S.

1 1.00 1.21 0.74 0.00 0.00 0.00 0.00 -0.01

time (sec)

N/A 0.386 0.277 2.053 0.000 0.000 0.000 0.000 0.000

Problem 67

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F F F F F

verified

N/A Yes NO TBD TBD TBD TBD TBD TBD

size

153 153 183 121 0 0 0 0 -1

N.S.

1 1.00 1.20 0.79 0.00 0.00 0.00 0.00 -0.01

time (sec)

N/A 0.440 0.276 1.823 0.000 0.000 0.000 0.000 0.000

Problem 68

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F F F F F

verified

N/A Yes NO TBD TBD TBD TBD TBD TBD

size

105 105 131 60 0 0 0 0 -1

N.S.

1 1.00 1.25 0.57 0.00 0.00 0.00 0.00 -0.01

time (sec)

N/A 0.255 0.218 2.282 0.000 0.000 0.000 0.000 0.000

Problem 69

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F F F F F

verified

N/A Yes NO TBD TBD TBD TBD TBD TBD

size

86 86 114 67 0 0 0 0 -1

N.S.

1 1.00 1.33 0.78 0.00 0.00 0.00 0.00 -0.01

time (sec)

N/A 0.234 0.150 1.833 0.000 0.000 0.000 0.000 0.000

Problem 70

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A A

verified

N/A N/A N/A TBD TBD TBD TBD TBD TBD

size

13 0 0 0 0 0 0 0 -1

N.S.

1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.08

time (sec)

N/A 0.010 7.637 0.971 0.000 0.000 0.000 0.000 0.000

Problem 71

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A A

verified

N/A N/A N/A TBD TBD TBD TBD TBD TBD

size

13 0 0 0 0 0 0 0 -1

N.S.

1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.08

time (sec)

N/A 0.010 9.916 1.992 0.000 0.000 0.000 0.000 0.000

Problem 72

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A F F F(-2) F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

182 182 162 0 0 0 0 0 -1

N.S.

1 1.00 0.89 0.00 0.00 0.00 0.00 0.00 -0.01

time (sec)

N/A 0.324 0.081 7.428 0.000 0.000 0.000 0.000 0.000

Problem 73

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F F(-2) F F(-2) F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

139 139 101 150 0 0 0 0 -1

N.S.

1 1.00 0.73 1.08 0.00 0.00 0.00 0.00 -0.01

time (sec)

N/A 0.279 0.068 9.000 0.000 0.000 0.000 0.000 0.000

Problem 74

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A F F F(-2) F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

120 120 100 0 0 0 0 0 -1

N.S.

1 1.00 0.83 0.00 0.00 0.00 0.00 0.00 -0.01

time (sec)

N/A 0.269 0.065 4.416 0.000 0.000 0.000 0.000 0.000

Problem 75

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F F(-2) F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

93 93 65 73 0 0 0 0 -1

N.S.

1 1.00 0.70 0.78 0.00 0.00 0.00 0.00 -0.01

time (sec)

N/A 0.220 0.058 3.489 0.000 0.000 0.000 0.000 0.000

Problem 76

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F F(-2) F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

53 53 45 43 0 0 0 0 -1

N.S.

1 1.00 0.85 0.81 0.00 0.00 0.00 0.00 -0.02

time (sec)

N/A 0.147 0.031 3.029 0.000 0.000 0.000 0.000 0.000

Problem 77

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A F(-2) A A A

verified

N/A N/A N/A TBD TBD TBD TBD TBD TBD

size

15 0 0 0 0 0 0 0 -1

N.S.

1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.07

time (sec)

N/A 0.010 0.233 1.211 0.000 0.000 0.000 0.000 0.000

Problem 78

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A F F F(-2) F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

345 345 152 0 0 0 0 0 -1

N.S.

1 1.00 0.44 0.00 0.00 0.00 0.00 0.00 -0.00

time (sec)

N/A 0.713 0.088 6.906 0.000 0.000 0.000 0.000 0.000

Problem 79

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F F(-2) F F(-2) F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

209 209 101 242 0 0 0 0 -1

N.S.

1 1.00 0.48 1.16 0.00 0.00 0.00 0.00 -0.00

time (sec)

N/A 0.553 0.078 10.083 0.000 0.000 0.000 0.000 0.000

Problem 80

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A F F F(-2) F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

189 189 100 0 0 0 0 0 -1

N.S.

1 1.00 0.53 0.00 0.00 0.00 0.00 0.00 -0.01

time (sec)

N/A 0.395 0.071 4.306 0.000 0.000 0.000 0.000 0.000

Problem 81

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F F(-2) F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

127 127 84 105 0 0 0 0 -1

N.S.

1 1.00 0.66 0.83 0.00 0.00 0.00 0.00 -0.01

time (sec)

N/A 0.296 0.090 3.903 0.000 0.000 0.000 0.000 0.000

Problem 82

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F F(-2) F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

86 86 45 68 0 0 0 0 -1

N.S.

1 1.00 0.52 0.79 0.00 0.00 0.00 0.00 -0.01

time (sec)

N/A 0.164 0.025 3.506 0.000 0.000 0.000 0.000 0.000

Problem 83

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A F(-2) A A A

verified

N/A N/A N/A TBD TBD TBD TBD TBD TBD

size

15 0 0 0 0 0 0 0 -1

N.S.

1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.07

time (sec)

N/A 0.010 0.229 1.283 0.000 0.000 0.000 0.000 0.000

Problem 84

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A F F F(-2) F(-2) F(-2) F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

394 394 162 0 0 0 0 0 -1

N.S.

1 1.00 0.41 0.00 0.00 0.00 0.00 0.00 -0.00

time (sec)

N/A 1.134 0.074 7.266 0.000 0.000 0.000 0.000 0.000

Problem 85

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F F(-2) F F(-2) F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

257 257 101 321 0 0 0 0 -1

N.S.

1 1.00 0.39 1.25 0.00 0.00 0.00 0.00 -0.00

time (sec)

N/A 0.887 0.063 10.067 0.000 0.000 0.000 0.000 0.000

Problem 86

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A F F F(-2) F F(-2) F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

220 220 100 0 0 0 0 0 -1

N.S.

1 1.00 0.45 0.00 0.00 0.00 0.00 0.00 -0.00

time (sec)

N/A 0.686 0.063 4.429 0.000 0.000 0.000 0.000 0.000

Problem 87

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F F(-2) F F(-2) F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

157 157 92 139 0 0 0 0 -1

N.S.

1 1.00 0.59 0.89 0.00 0.00 0.00 0.00 -0.01

time (sec)

N/A 0.455 0.119 3.783 0.000 0.000 0.000 0.000 0.000

Problem 88

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F F(-2) F F(-2) F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

99 99 45 81 0 0 0 0 -1

N.S.

1 1.00 0.45 0.82 0.00 0.00 0.00 0.00 -0.01

time (sec)

N/A 0.254 0.032 3.529 0.000 0.000 0.000 0.000 0.000

Problem 89

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A F(-2) A A A

verified

N/A N/A N/A TBD TBD TBD TBD TBD TBD

size

15 0 0 0 0 0 0 0 -1

N.S.

1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.07

time (sec)

N/A 0.010 0.252 1.235 0.000 0.000 0.000 0.000 0.000

Problem 90

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A F F F(-2) F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

163 163 150 0 0 0 0 0 -1

N.S.

1 1.00 0.92 0.00 0.00 0.00 0.00 0.00 -0.01

time (sec)

N/A 0.140 0.086 8.224 0.000 0.000 0.000 0.000 0.000

Problem 91

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F F(-2) F F(-2) F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

109 109 101 67 0 0 0 0 -1

N.S.

1 1.00 0.93 0.61 0.00 0.00 0.00 0.00 -0.01

time (sec)

N/A 0.098 0.068 9.333 0.000 0.000 0.000 0.000 0.000

Problem 92

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A F F F(-2) F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

105 105 100 0 0 0 0 0 -1

N.S.

1 1.00 0.95 0.00 0.00 0.00 0.00 0.00 -0.01

time (sec)

N/A 0.096 0.074 5.433 0.000 0.000 0.000 0.000 0.000

Problem 93

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F F(-2) F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

63 63 49 37 0 0 0 0 -1

N.S.

1 1.00 0.78 0.59 0.00 0.00 0.00 0.00 -0.02

time (sec)

N/A 0.054 0.029 3.980 0.000 0.000 0.000 0.000 0.000

Problem 94

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F F(-2) F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

43 43 45 26 0 0 0 0 -1

N.S.

1 1.00 1.05 0.60 0.00 0.00 0.00 0.00 -0.02

time (sec)

N/A 0.030 0.024 2.710 0.000 0.000 0.000 0.000 0.000

Problem 95

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A F(-2) A A A

verified

N/A N/A N/A TBD TBD TBD TBD TBD TBD

size

15 0 0 0 0 0 0 0 -1

N.S.

1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.07

time (sec)

N/A 0.009 0.188 1.247 0.000 0.000 0.000 0.000 0.000

Problem 96

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A F(-2) A A A

verified

N/A N/A N/A TBD TBD TBD TBD TBD TBD

size

15 0 0 0 0 0 0 0 -1

N.S.

1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.07

time (sec)

N/A 0.010 0.508 3.447 0.000 0.000 0.000 0.000 0.000

Problem 97

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A F F F(-2) F F F

verified

N/A Yes NO TBD TBD TBD TBD TBD TBD

size

193 193 201 0 0 0 0 0 -1

N.S.

1 1.00 1.04 0.00 0.00 0.00 0.00 0.00 -0.01

time (sec)

N/A 0.128 0.231 5.975 0.000 0.000 0.000 0.000 0.000

Problem 98

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F F(-2) F F(-2) F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

143 143 124 191 0 0 0 0 -1

N.S.

1 1.00 0.87 1.34 0.00 0.00 0.00 0.00 -0.01

time (sec)

N/A 0.092 0.131 10.016 0.000 0.000 0.000 0.000 0.000

Problem 99

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A F F F(-2) F F F

verified

N/A Yes NO TBD TBD TBD TBD TBD TBD

size

135 135 139 0 0 0 0 0 -1

N.S.

1 1.00 1.03 0.00 0.00 0.00 0.00 0.00 -0.01

time (sec)

N/A 0.086 0.136 3.994 0.000 0.000 0.000 0.000 0.000

Problem 100

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F F(-2) F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

89 89 63 85 0 0 0 0 -1

N.S.

1 1.00 0.71 0.96 0.00 0.00 0.00 0.00 -0.01

time (sec)

N/A 0.046 0.080 5.233 0.000 0.000 0.000 0.000 0.000

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