Integrals 1 to 100

Detailed conclusion table per each integral is given by the 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 as F.

In this table, the column N.S. means normalized size and is defined as \(\frac {\text {antiderivative leaf size}}{\text {optimal antiderivative leaf size}}\). To make the table fit the page, the name Mathematica was abbreviated to MMA

Problem 1

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A A A B F(-1)

verified

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

size

75 79 51 72 71 50 75 67 69 0

N.S.

1 1.05 0.68 0.96 0.95 0.67 1.00 0.89 0.92 0.00

time (sec)

N/A 0.236 0.023 0.111 0.124 0.144 0.323 0.123 0.223 0.000

Problem 2

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A A A B F(-1)

verified

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

size

69 83 54 60 61 48 66 57 58 0

N.S.

1 1.20 0.78 0.87 0.88 0.70 0.96 0.83 0.84 0.00

time (sec)

N/A 0.224 0.022 0.078 0.114 0.149 0.246 0.130 0.231 0.000

Problem 3

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A A A B F(-1)

verified

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

size

54 58 42 52 50 41 53 47 50 0

N.S.

1 1.07 0.78 0.96 0.93 0.76 0.98 0.87 0.93 0.00

time (sec)

N/A 0.214 0.018 0.078 0.149 0.106 0.191 0.125 0.218 0.000

Problem 4

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A A A B B

verified

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

size

45 51 42 40 40 37 42 37 37 38

N.S.

1 1.13 0.93 0.89 0.89 0.82 0.93 0.82 0.82 0.84

time (sec)

N/A 0.191 0.009 0.072 0.123 0.121 0.153 0.127 0.221 0.297

Problem 5

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A A A B B

verified

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

size

26 26 26 25 26 26 24 26 25 24

N.S.

1 1.00 1.00 0.96 1.00 1.00 0.92 1.00 0.96 0.92

time (sec)

N/A 0.168 0.003 0.043 0.110 0.116 0.066 0.126 0.223 0.083

Problem 6

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A F F F F F F(-1)

verified

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

size

51 59 51 68 0 0 0 0 10 0

N.S.

1 1.16 1.00 1.33 0.00 0.00 0.00 0.00 0.20 0.00

time (sec)

N/A 0.326 0.011 0.156 0.000 0.000 0.000 0.000 0.234 0.000

Problem 7

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A B C A B B

verified

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

size

27 27 34 26 38 82 34 48 23 25

N.S.

1 1.00 1.26 0.96 1.41 3.04 1.26 1.78 0.85 0.93

time (sec)

N/A 0.198 0.009 0.074 0.128 0.120 0.813 0.123 0.225 0.028

Problem 8

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A C B B F(-1)

verified

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

size

34 34 31 29 28 27 53 68 26 0

N.S.

1 1.00 0.91 0.85 0.82 0.79 1.56 2.00 0.76 0.00

time (sec)

N/A 0.200 0.011 0.079 0.120 0.132 0.624 0.137 0.208 0.000

Problem 9

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A B C A B F(-1)

verified

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

size

56 57 67 50 60 110 109 70 42 0

N.S.

1 1.02 1.20 0.89 1.07 1.96 1.95 1.25 0.75 0.00

time (sec)

N/A 0.233 0.018 0.078 0.120 0.163 1.430 0.121 0.223 0.000

Problem 10

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A C B B F(-1)

verified

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

size

58 63 41 52 50 37 102 130 45 0

N.S.

1 1.09 0.71 0.90 0.86 0.64 1.76 2.24 0.78 0.00

time (sec)

N/A 0.208 0.017 0.083 0.122 0.138 0.915 0.133 0.224 0.000

Problem 11

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A C A B F(-1)

verified

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

size

80 86 72 73 82 122 184 101 62 0

N.S.

1 1.08 0.90 0.91 1.02 1.52 2.30 1.26 0.78 0.00

time (sec)

N/A 0.221 0.044 0.080 0.130 0.150 2.803 0.124 0.231 0.000

Problem 12

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A A A F F(-1)

verified

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

size

120 141 82 76 102 76 121 100 12 0

N.S.

1 1.18 0.68 0.63 0.85 0.63 1.01 0.83 0.10 0.00

time (sec)

N/A 0.556 0.038 0.287 0.125 0.129 0.438 0.132 0.223 0.000

Problem 13

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A F A A A F F(-1)

verified

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

size

98 115 74 91 0 70 97 87 12 0

N.S.

1 1.17 0.76 0.93 0.00 0.71 0.99 0.89 0.12 0.00

time (sec)

N/A 0.536 0.029 0.252 0.000 0.119 0.361 0.131 0.209 0.000

Problem 14

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A A A F F(-1)

verified

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

size

82 95 63 59 72 59 83 68 12 0

N.S.

1 1.16 0.77 0.72 0.88 0.72 1.01 0.83 0.15 0.00

time (sec)

N/A 0.410 0.033 0.237 0.126 0.114 0.256 0.131 0.226 0.000

Problem 15

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A F A A A B F(-1)

verified

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

size

60 66 57 43 0 51 58 55 55 0

N.S.

1 1.10 0.95 0.72 0.00 0.85 0.97 0.92 0.92 0.00

time (sec)

N/A 0.351 0.020 0.178 0.000 0.141 0.187 0.118 0.264 0.000

Problem 16

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A A A B B

verified

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

size

35 42 35 37 33 36 37 33 35 45

N.S.

1 1.20 1.00 1.06 0.94 1.03 1.06 0.94 1.00 1.29

time (sec)

N/A 0.257 0.012 0.108 0.127 0.117 0.082 0.125 0.212 0.368

Problem 17

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A F F F F F F(-1)

verified

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

size

73 90 73 101 0 0 0 0 12 0

N.S.

1 1.23 1.00 1.38 0.00 0.00 0.00 0.00 0.16 0.00

time (sec)

N/A 0.463 0.016 0.188 0.000 0.000 0.000 0.000 0.215 0.000

Problem 18

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A F F F F F F(-1)

verified

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

size

74 75 98 136 0 0 0 0 12 0

N.S.

1 1.01 1.32 1.84 0.00 0.00 0.00 0.00 0.16 0.00

time (sec)

N/A 0.411 0.095 0.168 0.000 0.000 0.000 0.000 0.211 0.000

Problem 19

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A F B F F(-1)

verified

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

size

43 46 43 47 39 44 0 82 12 0

N.S.

1 1.07 1.00 1.09 0.91 1.02 0.00 1.91 0.28 0.00

time (sec)

N/A 0.295 0.020 0.166 0.131 0.114 0.000 0.159 0.214 0.000

Problem 20

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A F F F F F F(-1)

verified

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

size

124 120 152 166 0 0 0 0 12 0

N.S.

1 0.97 1.23 1.34 0.00 0.00 0.00 0.00 0.10 0.00

time (sec)

N/A 0.587 0.428 0.307 0.000 0.000 0.000 0.000 0.223 0.000

Problem 21

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A F B F F(-1)

verified

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

size

87 89 69 82 74 62 0 171 12 0

N.S.

1 1.02 0.79 0.94 0.85 0.71 0.00 1.97 0.14 0.00

time (sec)

N/A 0.505 0.028 0.173 0.119 0.144 0.000 0.175 0.211 0.000

Problem 22

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A A A F F(-1)

verified

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

size

201 303 122 159 171 104 202 175 12 0

N.S.

1 1.51 0.61 0.79 0.85 0.52 1.00 0.87 0.06 0.00

time (sec)

N/A 1.520 0.042 0.324 0.136 0.153 0.588 0.139 0.225 0.000

Problem 23

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A F A A A F F(-1)

verified

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

size

167 245 115 151 0 96 167 141 12 0

N.S.

1 1.47 0.69 0.90 0.00 0.57 1.00 0.84 0.07 0.00

time (sec)

N/A 1.166 0.046 0.349 0.000 0.138 0.460 0.132 0.203 0.000

Problem 24

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A A A F F(-1)

verified

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

size

136 176 95 106 120 78 134 117 12 0

N.S.

1 1.29 0.70 0.78 0.88 0.57 0.99 0.86 0.09 0.00

time (sec)

N/A 0.876 0.035 0.303 0.130 0.121 0.317 0.137 0.229 0.000

Problem 25

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A F A A A B F(-1)

verified

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

size

99 117 85 58 0 69 99 83 82 0

N.S.

1 1.18 0.86 0.59 0.00 0.70 1.00 0.84 0.83 0.00

time (sec)

N/A 0.550 0.028 0.290 0.000 0.103 0.246 0.129 0.208 0.000

Problem 26

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A A A B B

verified

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

size

60 69 60 57 59 44 60 56 54 59

N.S.

1 1.15 1.00 0.95 0.98 0.73 1.00 0.93 0.90 0.98

time (sec)

N/A 0.326 0.013 0.197 0.114 0.138 0.127 0.127 0.224 0.374

Problem 27

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A F F F F F F(-1)

verified

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

size

101 123 101 135 0 0 0 0 12 0

N.S.

1 1.22 1.00 1.34 0.00 0.00 0.00 0.00 0.12 0.00

time (sec)

N/A 0.571 0.017 0.296 0.000 0.000 0.000 0.000 0.218 0.000

Problem 28

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A F F F F F F F(-1)

verified

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

size

122 127 139 0 0 0 0 0 12 0

N.S.

1 1.04 1.14 0.00 0.00 0.00 0.00 0.00 0.10 0.00

time (sec)

N/A 0.600 0.078 0.000 0.000 0.000 0.000 0.000 0.236 0.000

Problem 29

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A F F F F F F(-1)

verified

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

size

102 107 92 117 0 0 0 0 12 0

N.S.

1 1.05 0.90 1.15 0.00 0.00 0.00 0.00 0.12 0.00

time (sec)

N/A 0.587 0.144 0.333 0.000 0.000 0.000 0.000 0.241 0.000

Problem 30

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A F F F F F F(-1)

verified

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

size

192 194 165 256 0 0 0 0 12 0

N.S.

1 1.01 0.86 1.33 0.00 0.00 0.00 0.00 0.06 0.00

time (sec)

N/A 1.103 0.579 0.418 0.000 0.000 0.000 0.000 0.214 0.000

Problem 31

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A F F F F(-2) F F(-1)

verified

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

size

169 181 151 190 0 0 0 0 12 0

N.S.

1 1.07 0.89 1.12 0.00 0.00 0.00 0.00 0.07 0.00

time (sec)

N/A 1.030 0.234 0.401 0.000 0.000 0.000 0.000 0.230 0.000

Problem 32

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A F A A A F F(-1)

verified

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

size

282 500 167 332 0 153 275 245 12 0

N.S.

1 1.77 0.59 1.18 0.00 0.54 0.98 0.87 0.04 0.00

time (sec)

N/A 2.623 0.057 0.632 0.000 0.173 1.082 0.133 0.230 0.000

Problem 33

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A A A F F(-1)

verified

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

size

250 416 150 197 206 134 248 212 12 0

N.S.

1 1.66 0.60 0.79 0.82 0.54 0.99 0.85 0.05 0.00

time (sec)

N/A 2.343 0.052 0.498 0.160 0.120 0.785 0.139 0.217 0.000

Problem 34

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A F A A A F F(-1)

verified

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

size

198 291 135 213 0 121 197 173 12 0

N.S.

1 1.47 0.68 1.08 0.00 0.61 0.99 0.87 0.06 0.00

time (sec)

N/A 1.812 0.046 0.514 0.000 0.139 0.577 0.138 0.222 0.000

Problem 35

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A A A F F(-1)

verified

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

size

166 230 114 130 146 99 165 140 12 0

N.S.

1 1.39 0.69 0.78 0.88 0.60 0.99 0.84 0.07 0.00

time (sec)

N/A 1.450 0.048 0.482 0.126 0.132 0.431 0.135 0.237 0.000

Problem 36

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A F A A A B F(-1)

verified

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

size

112 132 96 73 0 82 110 101 98 0

N.S.

1 1.18 0.86 0.65 0.00 0.73 0.98 0.90 0.88 0.00

time (sec)

N/A 0.886 0.028 0.457 0.000 0.124 0.311 0.131 0.245 0.000

Problem 37

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A A A B B

verified

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

size

69 85 69 67 74 55 70 65 64 63

N.S.

1 1.23 1.00 0.97 1.07 0.80 1.01 0.94 0.93 0.91

time (sec)

N/A 0.458 0.017 0.343 0.121 0.126 0.156 0.129 0.207 0.353

Problem 38

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A F F F F F F(-1)

verified

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

size

119 154 119 168 0 0 0 0 12 0

N.S.

1 1.29 1.00 1.41 0.00 0.00 0.00 0.00 0.10 0.00

time (sec)

N/A 0.682 0.017 0.467 0.000 0.000 0.000 0.000 0.211 0.000

Problem 39

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A B F F F F F F F(-1)

verified

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

size

176 185 549 0 0 0 0 0 12 0

N.S.

1 1.05 3.12 0.00 0.00 0.00 0.00 0.00 0.07 0.00

time (sec)

N/A 0.768 0.707 0.000 0.000 0.000 0.000 0.000 0.210 0.000

Problem 40

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A F F F F F F(-1)

verified

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

size

121 136 115 150 0 0 0 0 12 0

N.S.

1 1.12 0.95 1.24 0.00 0.00 0.00 0.00 0.10 0.00

time (sec)

N/A 0.738 0.251 0.513 0.000 0.000 0.000 0.000 0.207 0.000

Problem 41

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A B A F F F F F F(-1)

verified

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

size

304 304 1475 419 0 0 0 0 12 0

N.S.

1 1.00 4.85 1.38 0.00 0.00 0.00 0.00 0.04 0.00

time (sec)

N/A 1.520 12.051 0.610 0.000 0.000 0.000 0.000 0.221 0.000

Problem 42

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A F F F A F F(-1)

verified

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

size

55 48 40 40 0 0 0 47 12 0

N.S.

1 0.87 0.73 0.73 0.00 0.00 0.00 0.85 0.22 0.00

time (sec)

N/A 0.306 0.064 0.103 0.000 0.000 0.000 0.134 0.262 0.000

Problem 43

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A F F F A F F(-1)

verified

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

size

43 39 33 33 0 0 0 37 12 0

N.S.

1 0.91 0.77 0.77 0.00 0.00 0.00 0.86 0.28 0.00

time (sec)

N/A 0.295 0.056 0.087 0.000 0.000 0.000 0.126 0.230 0.000

Problem 44

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A F F F A F F(-1)

verified

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

size

41 37 31 31 0 0 0 35 12 0

N.S.

1 0.90 0.76 0.76 0.00 0.00 0.00 0.85 0.29 0.00

time (sec)

N/A 0.290 0.048 0.060 0.000 0.000 0.000 0.138 0.227 0.000

Problem 45

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A F F F A F F(-1)

verified

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

size

29 28 24 24 0 0 0 25 12 0

N.S.

1 0.97 0.83 0.83 0.00 0.00 0.00 0.86 0.41 0.00

time (sec)

N/A 0.272 0.044 0.057 0.000 0.000 0.000 0.130 0.224 0.000

Problem 46

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A F F F A F F(-1)

verified

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

size

27 26 20 22 0 0 0 23 12 0

N.S.

1 0.96 0.74 0.81 0.00 0.00 0.00 0.85 0.44 0.00

time (sec)

N/A 0.276 0.034 0.056 0.000 0.000 0.000 0.129 0.221 0.000

Problem 47

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A F F F A F F(-1)

verified

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

size

14 14 14 13 0 0 0 12 10 0

N.S.

1 1.00 1.00 0.93 0.00 0.00 0.00 0.86 0.71 0.00

time (sec)

N/A 0.276 0.015 0.078 0.000 0.000 0.000 0.129 0.206 0.000

Problem 48

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A F F F A F F(-1)

verified

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

size

10 10 10 11 0 0 0 10 8 0

N.S.

1 1.00 1.00 1.10 0.00 0.00 0.00 1.00 0.80 0.00

time (sec)

N/A 0.214 0.018 0.044 0.000 0.000 0.000 0.121 0.219 0.000

Problem 49

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A

verified

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

size

10 10 12 10 12 12 8 12 12 12

N.S.

1 1.00 1.20 1.00 1.20 1.20 0.80 1.20 1.20 1.20

time (sec)

N/A 0.186 0.150 0.068 0.189 0.093 0.269 0.145 0.245 0.299

Problem 50

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A

verified

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

size

10 10 12 10 12 12 10 12 12 12

N.S.

1 1.00 1.20 1.00 1.20 1.20 1.00 1.20 1.20 1.20

time (sec)

N/A 0.173 0.657 0.096 0.214 0.096 0.304 0.171 0.218 0.268

Problem 51

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A F F F A F F(-1)

verified

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

size

82 75 86 105 0 0 0 72 12 0

N.S.

1 0.91 1.05 1.28 0.00 0.00 0.00 0.88 0.15 0.00

time (sec)

N/A 0.282 0.114 0.112 0.000 0.000 0.000 0.139 0.237 0.000

Problem 52

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A F F F A F F(-1)

verified

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

size

70 66 63 78 0 0 0 62 12 0

N.S.

1 0.94 0.90 1.11 0.00 0.00 0.00 0.89 0.17 0.00

time (sec)

N/A 0.271 0.116 0.085 0.000 0.000 0.000 0.137 0.238 0.000

Problem 53

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A F F F A F F(-1)

verified

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

size

68 64 61 81 0 0 0 60 12 0

N.S.

1 0.94 0.90 1.19 0.00 0.00 0.00 0.88 0.18 0.00

time (sec)

N/A 0.287 0.114 0.070 0.000 0.000 0.000 0.150 0.217 0.000

Problem 54

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A F F F A F F(-1)

verified

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

size

56 55 50 54 0 0 0 50 12 0

N.S.

1 0.98 0.89 0.96 0.00 0.00 0.00 0.89 0.21 0.00

time (sec)

N/A 0.265 0.102 0.057 0.000 0.000 0.000 0.139 0.215 0.000

Problem 55

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A F F F A F F(-1)

verified

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

size

54 53 50 57 0 0 0 48 12 0

N.S.

1 0.98 0.93 1.06 0.00 0.00 0.00 0.89 0.22 0.00

time (sec)

N/A 0.278 0.091 0.068 0.000 0.000 0.000 0.141 0.228 0.000

Problem 56

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A F F F A F F(-1)

verified

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

size

38 38 37 30 0 0 0 36 10 0

N.S.

1 1.00 0.97 0.79 0.00 0.00 0.00 0.95 0.26 0.00

time (sec)

N/A 0.282 0.065 0.088 0.000 0.000 0.000 0.129 0.231 0.000

Problem 57

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A F F F A F F(-1)

verified

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

size

35 35 35 32 0 0 0 33 8 0

N.S.

1 1.00 1.00 0.91 0.00 0.00 0.00 0.94 0.23 0.00

time (sec)

N/A 0.378 0.014 0.047 0.000 0.000 0.000 0.124 0.201 0.000

Problem 58

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A

verified

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

size

10 10 12 10 127 12 10 12 12 12

N.S.

1 1.00 1.20 1.00 12.70 1.20 1.00 1.20 1.20 1.20

time (sec)

N/A 0.191 0.884 0.072 0.410 0.092 0.345 0.165 0.206 0.278

Problem 59

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A

verified

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

size

10 10 12 10 136 12 12 12 12 12

N.S.

1 1.00 1.20 1.00 13.60 1.20 1.20 1.20 1.20 1.20

time (sec)

N/A 0.196 12.683 0.123 0.521 0.094 0.365 0.221 0.202 0.278

Problem 60

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A F F F A F F(-1)

verified

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

size

98 132 103 121 0 0 0 86 12 0

N.S.

1 1.35 1.05 1.23 0.00 0.00 0.00 0.88 0.12 0.00

time (sec)

N/A 0.817 0.081 0.100 0.000 0.000 0.000 0.146 0.234 0.000

Problem 61

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A F F F A F F(-1)

verified

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

size

83 108 70 82 0 0 0 75 12 0

N.S.

1 1.30 0.84 0.99 0.00 0.00 0.00 0.90 0.14 0.00

time (sec)

N/A 0.865 0.100 0.094 0.000 0.000 0.000 0.143 0.217 0.000

Problem 62

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A F F F A F F(-1)

verified

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

size

82 102 65 82 0 0 0 72 12 0

N.S.

1 1.24 0.79 1.00 0.00 0.00 0.00 0.88 0.15 0.00

time (sec)

N/A 0.843 0.085 0.066 0.000 0.000 0.000 0.147 0.218 0.000

Problem 63

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A F F F A F F(-1)

verified

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

size

63 69 63 43 0 0 0 57 10 0

N.S.

1 1.10 1.00 0.68 0.00 0.00 0.00 0.90 0.16 0.00

time (sec)

N/A 0.744 0.026 0.082 0.000 0.000 0.000 0.143 0.217 0.000

Problem 64

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A F F F A F F(-1)

verified

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

size

51 54 47 43 0 0 0 43 8 0

N.S.

1 1.06 0.92 0.84 0.00 0.00 0.00 0.84 0.16 0.00

time (sec)

N/A 0.403 0.011 0.050 0.000 0.000 0.000 0.121 0.233 0.000

Problem 65

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A

verified

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

size

10 10 12 10 124 12 10 12 12 12

N.S.

1 1.00 1.20 1.00 12.40 1.20 1.00 1.20 1.20 1.20

time (sec)

N/A 0.171 0.473 0.069 1.723 0.110 0.396 0.182 0.244 0.303

Problem 66

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A

verified

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

size

10 10 12 10 143 12 12 12 12 12

N.S.

1 1.00 1.20 1.00 14.30 1.20 1.20 1.20 1.20 1.20

time (sec)

N/A 0.174 6.498 0.125 1.780 0.120 0.485 0.211 0.214 0.298

Problem 67

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A F F F A F F(-1)

verified

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

size

158 208 159 171 0 0 0 138 12 0

N.S.

1 1.32 1.01 1.08 0.00 0.00 0.00 0.87 0.08 0.00

time (sec)

N/A 0.674 0.123 0.113 0.000 0.000 0.000 0.138 0.219 0.000

Problem 68

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A F F F A F F(-1)

verified

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

size

143 178 107 114 0 0 0 125 12 0

N.S.

1 1.24 0.75 0.80 0.00 0.00 0.00 0.87 0.08 0.00

time (sec)

N/A 0.772 0.176 0.082 0.000 0.000 0.000 0.139 0.219 0.000

Problem 69

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A F F F A F F(-1)

verified

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

size

141 174 112 117 0 0 0 121 12 0

N.S.

1 1.23 0.79 0.83 0.00 0.00 0.00 0.86 0.09 0.00

time (sec)

N/A 1.020 0.108 0.072 0.000 0.000 0.000 0.142 0.211 0.000

Problem 70

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A F F F A F F(-1)

verified

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

size

97 107 86 60 0 0 0 83 10 0

N.S.

1 1.10 0.89 0.62 0.00 0.00 0.00 0.86 0.10 0.00

time (sec)

N/A 0.675 0.075 0.083 0.000 0.000 0.000 0.134 0.201 0.000

Problem 71

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A F F F A F F(-1)

verified

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

size

78 90 71 63 0 0 0 66 8 0

N.S.

1 1.15 0.91 0.81 0.00 0.00 0.00 0.85 0.10 0.00

time (sec)

N/A 0.548 0.037 0.052 0.000 0.000 0.000 0.125 0.220 0.000

Problem 72

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A

verified

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

size

10 10 12 10 200 12 10 12 12 12

N.S.

1 1.00 1.20 1.00 20.00 1.20 1.00 1.20 1.20 1.20

time (sec)

N/A 0.166 2.917 0.076 5.216 0.118 0.512 0.179 0.222 0.276

Problem 73

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A

verified

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

size

10 10 12 10 229 12 12 12 12 12

N.S.

1 1.00 1.20 1.00 22.90 1.20 1.20 1.20 1.20 1.20

time (sec)

N/A 0.178 14.938 0.135 6.483 0.114 0.677 0.289 0.208 0.276

Problem 74

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A C A F(-2) F(-2) F C F F(-1)

verified

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

size

121 120 194 143 0 0 0 247 11 0

N.S.

1 0.99 1.60 1.18 0.00 0.00 0.00 2.04 0.09 0.00

time (sec)

N/A 0.500 0.078 0.194 0.000 0.000 0.000 0.189 0.213 0.000

Problem 75

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A C A F(-2) F(-2) F C F F(-1)

verified

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

size

95 94 131 91 0 0 0 153 11 0

N.S.

1 0.99 1.38 0.96 0.00 0.00 0.00 1.61 0.12 0.00

time (sec)

N/A 0.473 0.053 0.136 0.000 0.000 0.000 0.185 0.234 0.000

Problem 76

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A C A F(-2) F(-2) F C F F(-1)

verified

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

size

86 88 128 96 0 0 0 165 11 0

N.S.

1 1.02 1.49 1.12 0.00 0.00 0.00 1.92 0.13 0.00

time (sec)

N/A 0.469 0.062 0.106 0.000 0.000 0.000 0.187 0.224 0.000

Problem 77

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A F(-2) F(-2) F C F F(-1)

verified

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

size

59 57 49 42 0 0 0 71 9 0

N.S.

1 0.97 0.83 0.71 0.00 0.00 0.00 1.20 0.15 0.00

time (sec)

N/A 0.422 0.026 0.074 0.000 0.000 0.000 0.169 0.229 0.000

Problem 78

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A C A F(-2) F(-2) F C F F(-1)

verified

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

size

44 44 69 49 0 0 0 83 7 0

N.S.

1 1.00 1.57 1.11 0.00 0.00 0.00 1.89 0.16 0.00

time (sec)

N/A 0.384 0.019 0.070 0.000 0.000 0.000 0.152 0.222 0.000

Problem 79

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

12 12 14 10 0 0 10 12 11 12

N.S.

1 1.00 1.17 0.83 0.00 0.00 0.83 1.00 0.92 1.00

time (sec)

N/A 0.181 0.172 0.126 0.000 0.000 0.338 0.335 0.213 0.293

Problem 80

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A C A F(-2) F(-2) F C F F(-1)

verified

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

size

282 337 185 193 0 0 0 355 15 0

N.S.

1 1.20 0.66 0.68 0.00 0.00 0.00 1.26 0.05 0.00

time (sec)

N/A 2.060 0.086 0.179 0.000 0.000 0.000 0.192 0.253 0.000

Problem 81

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A C A F(-2) F(-2) F C F F(-1)

verified

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

size

157 201 128 121 0 0 0 225 15 0

N.S.

1 1.28 0.82 0.77 0.00 0.00 0.00 1.43 0.10 0.00

time (sec)

N/A 1.528 0.051 0.141 0.000 0.000 0.000 0.185 0.240 0.000

Problem 82

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A C A F(-2) F(-2) F C F F(-1)

verified

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

size

147 193 125 130 0 0 0 237 15 0

N.S.

1 1.31 0.85 0.88 0.00 0.00 0.00 1.61 0.10 0.00

time (sec)

N/A 1.226 0.061 0.115 0.000 0.000 0.000 0.191 0.243 0.000

Problem 83

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A F(-2) F(-2) F C F F(-1)

verified

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

size

89 95 64 64 0 0 0 107 13 0

N.S.

1 1.07 0.72 0.72 0.00 0.00 0.00 1.20 0.15 0.00

time (sec)

N/A 0.977 0.045 0.081 0.000 0.000 0.000 0.175 0.212 0.000

Problem 84

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A C A F(-2) F(-2) F C F F(-1)

verified

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

size

75 76 66 72 0 0 0 119 46 0

N.S.

1 1.01 0.88 0.96 0.00 0.00 0.00 1.59 0.61 0.00

time (sec)

N/A 0.511 0.019 0.073 0.000 0.000 0.000 0.209 0.224 0.000

Problem 85

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

12 12 14 10 0 0 10 12 15 12

N.S.

1 1.00 1.17 0.83 0.00 0.00 0.83 1.00 1.25 1.00

time (sec)

N/A 0.186 0.173 0.122 0.000 0.000 1.332 0.395 0.208 0.277

Problem 86

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A C A F(-2) F(-2) F(-1) C F F(-1)

verified

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

size

298 402 194 233 0 0 0 463 17 0

N.S.

1 1.35 0.65 0.78 0.00 0.00 0.00 1.55 0.06 0.00

time (sec)

N/A 2.641 0.074 0.202 0.000 0.000 0.000 0.205 0.277 0.000

Problem 87

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A C A F(-2) F(-2) F C F F(-1)

verified

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

size

205 272 131 154 0 0 0 297 17 0

N.S.

1 1.33 0.64 0.75 0.00 0.00 0.00 1.45 0.08 0.00

time (sec)

N/A 1.772 0.051 0.146 0.000 0.000 0.000 0.197 0.254 0.000

Problem 88

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A C A F(-2) F(-2) F C F F(-1)

verified

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

size

178 235 128 156 0 0 0 309 17 0

N.S.

1 1.32 0.72 0.88 0.00 0.00 0.00 1.74 0.10 0.00

time (sec)

N/A 1.472 0.060 0.118 0.000 0.000 0.000 0.201 0.226 0.000

Problem 89

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A F(-2) F(-2) F C F F(-1)

verified

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

size

119 131 73 79 0 0 0 143 15 0

N.S.

1 1.10 0.61 0.66 0.00 0.00 0.00 1.20 0.13 0.00

time (sec)

N/A 0.867 0.062 0.084 0.000 0.000 0.000 0.178 0.224 0.000

Problem 90

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A C A F(-2) F(-2) F C F F(-1)

verified

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

size

88 95 69 88 0 0 0 155 14 0

N.S.

1 1.08 0.78 1.00 0.00 0.00 0.00 1.76 0.16 0.00

time (sec)

N/A 0.578 0.018 0.076 0.000 0.000 0.000 0.208 0.224 0.000

Problem 91

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

12 12 14 10 0 0 10 12 17 12

N.S.

1 1.00 1.17 0.83 0.00 0.00 0.83 1.00 1.42 1.00

time (sec)

N/A 0.172 0.174 0.121 0.000 0.000 16.853 0.413 0.210 0.285

Problem 92

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A C A F(-2) F(-2) F C F F(-1)

verified

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

size

106 102 192 72 0 0 0 139 227 0

N.S.

1 0.96 1.81 0.68 0.00 0.00 0.00 1.31 2.14 0.00

time (sec)

N/A 0.323 0.069 0.153 0.000 0.000 0.000 0.177 0.305 0.000

Problem 93

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A C A F(-2) F(-2) F C F F(-1)

verified

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

size

65 64 130 43 0 0 0 81 169 0

N.S.

1 0.98 2.00 0.66 0.00 0.00 0.00 1.25 2.60 0.00

time (sec)

N/A 0.284 0.049 0.122 0.000 0.000 0.000 0.170 0.286 0.000

Problem 94

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A C A F(-2) F(-2) F C F F(-1)

verified

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

size

71 70 126 50 0 0 0 93 98 0

N.S.

1 0.99 1.77 0.70 0.00 0.00 0.00 1.31 1.38 0.00

time (sec)

N/A 0.296 0.059 0.094 0.000 0.000 0.000 0.159 0.277 0.000

Problem 95

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A F(-2) F(-2) F C F F(-1)

verified

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

size

28 28 28 21 0 0 0 35 75 0

N.S.

1 1.00 1.00 0.75 0.00 0.00 0.00 1.25 2.68 0.00

time (sec)

N/A 0.341 0.017 0.066 0.000 0.000 0.000 0.156 0.236 0.000

Problem 96

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A C A F(-2) F(-2) F C F F(-1)

verified

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

size

31 31 68 26 0 0 0 47 59 0

N.S.

1 1.00 2.19 0.84 0.00 0.00 0.00 1.52 1.90 0.00

time (sec)

N/A 0.281 0.017 0.056 0.000 0.000 0.000 0.141 0.225 0.000

Problem 97

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

12 12 14 10 0 0 12 12 17 12

N.S.

1 1.00 1.17 0.83 0.00 0.00 1.00 1.00 1.42 1.00

time (sec)

N/A 0.184 0.168 0.123 0.000 0.000 0.352 0.235 0.212 0.289

Problem 98

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

12 12 14 10 0 0 14 12 17 12

N.S.

1 1.00 1.17 0.83 0.00 0.00 1.17 1.00 1.42 1.00

time (sec)

N/A 0.179 1.761 0.144 0.000 0.000 0.473 0.250 0.232 0.278

Problem 99

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A C A F(-2) F(-2) F F F F(-1)

verified

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

size

171 165 306 183 0 0 0 0 406 0

N.S.

1 0.96 1.79 1.07 0.00 0.00 0.00 0.00 2.37 0.00

time (sec)

N/A 0.395 0.201 0.207 0.000 0.000 0.000 0.000 0.351 0.000

Problem 100

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A C A F(-2) F(-2) F F F F(-1)

verified

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

size

127 126 226 121 0 0 0 0 195 0

N.S.

1 0.99 1.78 0.95 0.00 0.00 0.00 0.00 1.54 0.00

time (sec)

N/A 0.350 0.325 0.174 0.000 0.000 0.000 0.000 0.322 0.000