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 F(-1) A B B

verified

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

size

83 74 120 98 73 75 0 90 136 70

N.S.

1 0.89 1.45 1.18 0.88 0.90 0.00 1.08 1.64 0.84

time (sec)

N/A 0.252 0.281 1.259 0.026 0.077 0.000 0.163 0.149 0.084

Problem 2

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

66 59 88 81 58 60 0 68 106 55

N.S.

1 0.89 1.33 1.23 0.88 0.91 0.00 1.03 1.61 0.83

time (sec)

N/A 0.249 0.172 1.050 0.029 0.074 0.000 0.174 0.153 12.506

Problem 3

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

44 40 53 62 40 42 0 45 125 39

N.S.

1 0.91 1.20 1.41 0.91 0.95 0.00 1.02 2.84 0.89

time (sec)

N/A 0.230 0.127 0.914 0.027 0.076 0.000 0.132 0.151 0.069

Problem 4

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

24 23 35 25 25 27 0 25 34 25

N.S.

1 0.96 1.46 1.04 1.04 1.12 0.00 1.04 1.42 1.04

time (sec)

N/A 0.211 0.028 0.337 0.025 0.077 0.000 0.156 0.150 0.044

Problem 5

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

27 26 58 38 44 60 0 50 59 29

N.S.

1 0.96 2.15 1.41 1.63 2.22 0.00 1.85 2.19 1.07

time (sec)

N/A 0.206 0.149 0.299 0.028 0.080 0.000 0.135 0.148 0.092

Problem 6

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

53 60 236 90 76 124 0 90 138 62

N.S.

1 1.13 4.45 1.70 1.43 2.34 0.00 1.70 2.60 1.17

time (sec)

N/A 0.242 0.450 0.810 0.034 0.084 0.000 0.133 0.153 12.534

Problem 7

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

81 97 198 120 101 178 0 112 160 86

N.S.

1 1.20 2.44 1.48 1.25 2.20 0.00 1.38 1.98 1.06

time (sec)

N/A 0.279 1.471 0.925 0.029 0.084 0.000 0.182 0.186 12.518

Problem 8

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

98 124 78 89 111 86 0 104 132 105

N.S.

1 1.27 0.80 0.91 1.13 0.88 0.00 1.06 1.35 1.07

time (sec)

N/A 0.349 0.424 1.180 0.105 0.082 0.000 0.191 0.159 13.063

Problem 9

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

70 90 54 71 82 68 0 82 102 79

N.S.

1 1.29 0.77 1.01 1.17 0.97 0.00 1.17 1.46 1.13

time (sec)

N/A 0.259 0.397 0.975 0.107 0.079 0.000 0.134 0.158 12.625

Problem 10

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

42 55 54 46 47 50 0 47 61 35

N.S.

1 1.31 1.29 1.10 1.12 1.19 0.00 1.12 1.45 0.83

time (sec)

N/A 0.230 0.107 0.451 0.110 0.072 0.000 0.148 0.153 12.539

Problem 11

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

15 15 15 16 15 31 0 15 31 17

N.S.

1 1.00 1.00 1.07 1.00 2.07 0.00 1.00 2.07 1.13

time (sec)

N/A 0.150 0.003 0.719 0.027 0.073 0.000 0.108 0.154 12.513

Problem 12

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

26 24 36 43 26 39 0 26 48 28

N.S.

1 0.92 1.38 1.65 1.00 1.50 0.00 1.00 1.85 1.08

time (sec)

N/A 0.230 0.228 0.800 0.032 0.066 0.000 0.142 0.151 12.540

Problem 13

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

46 41 84 73 43 66 0 50 72 46

N.S.

1 0.89 1.83 1.59 0.93 1.43 0.00 1.09 1.57 1.00

time (sec)

N/A 0.238 0.194 1.357 0.034 0.065 0.000 0.154 0.155 12.603

Problem 14

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

68 60 128 89 64 91 0 76 94 60

N.S.

1 0.88 1.88 1.31 0.94 1.34 0.00 1.12 1.38 0.88

time (sec)

N/A 0.252 0.209 1.500 0.037 0.074 0.000 0.172 0.206 12.717

Problem 15

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

97 86 118 155 89 90 0 115 261 87

N.S.

1 0.89 1.22 1.60 0.92 0.93 0.00 1.19 2.69 0.90

time (sec)

N/A 0.292 1.108 1.397 0.031 0.084 0.000 0.153 0.166 12.425

Problem 16

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

72 65 83 69 67 67 0 77 474 66

N.S.

1 0.90 1.15 0.96 0.93 0.93 0.00 1.07 6.58 0.92

time (sec)

N/A 0.264 0.833 1.123 0.032 0.077 0.000 0.181 0.162 12.506

Problem 17

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

46 41 75 42 42 44 0 43 138 45

N.S.

1 0.89 1.63 0.91 0.91 0.96 0.00 0.93 3.00 0.98

time (sec)

N/A 0.231 0.080 0.474 0.035 0.076 0.000 0.129 0.160 0.058

Problem 18

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

52 48 108 94 82 101 0 95 266 53

N.S.

1 0.92 2.08 1.81 1.58 1.94 0.00 1.83 5.12 1.02

time (sec)

N/A 0.257 0.839 0.521 0.032 0.082 0.000 0.124 0.160 0.118

Problem 19

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

80 117 1021 163 126 193 0 147 408 96

N.S.

1 1.46 12.76 2.04 1.58 2.41 0.00 1.84 5.10 1.20

time (sec)

N/A 0.308 7.037 1.213 0.028 0.083 0.000 0.124 0.159 12.535

Problem 20

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

121 162 218 211 165 286 0 191 446 135

N.S.

1 1.34 1.80 1.74 1.36 2.36 0.00 1.58 3.69 1.12

time (sec)

N/A 0.354 1.962 1.499 0.038 0.089 0.000 0.185 0.161 12.602

Problem 21

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

141 168 499 165 164 131 0 183 353 163

N.S.

1 1.19 3.54 1.17 1.16 0.93 0.00 1.30 2.50 1.16

time (sec)

N/A 0.476 1.766 1.770 0.112 0.094 0.000 0.295 0.184 12.944

Problem 22

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

108 129 153 100 120 107 0 123 275 116

N.S.

1 1.19 1.42 0.93 1.11 0.99 0.00 1.14 2.55 1.07

time (sec)

N/A 0.337 1.670 1.469 0.102 0.082 0.000 0.191 0.170 12.524

Problem 23

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

65 76 126 71 67 81 0 67 167 94

N.S.

1 1.17 1.94 1.09 1.03 1.25 0.00 1.03 2.57 1.45

time (sec)

N/A 0.266 1.351 0.746 0.112 0.079 0.000 0.150 0.159 12.652

Problem 24

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

40 44 41 46 44 58 0 49 106 42

N.S.

1 1.10 1.02 1.15 1.10 1.45 0.00 1.22 2.65 1.05

time (sec)

N/A 0.220 0.316 1.294 0.026 0.082 0.000 0.164 0.160 12.436

Problem 25

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

50 45 109 96 54 71 0 60 124 56

N.S.

1 0.90 2.18 1.92 1.08 1.42 0.00 1.20 2.48 1.12

time (sec)

N/A 0.257 1.354 0.959 0.030 0.072 0.000 0.191 0.156 12.479

Problem 26

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

76 68 151 130 80 101 0 98 145 85

N.S.

1 0.89 1.99 1.71 1.05 1.33 0.00 1.29 1.91 1.12

time (sec)

N/A 0.274 3.480 1.539 0.032 0.073 0.000 0.242 0.155 12.545

Problem 27

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

103 92 353 154 107 139 0 141 200 108

N.S.

1 0.89 3.43 1.50 1.04 1.35 0.00 1.37 1.94 1.05

time (sec)

N/A 0.301 1.868 1.839 0.030 0.073 0.000 0.193 0.156 12.817

Problem 28

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD TBD

size

98 91 425 115 102 229 0 146 315 123

N.S.

1 0.93 4.34 1.17 1.04 2.34 0.00 1.49 3.21 1.26

time (sec)

N/A 0.301 2.825 1.688 0.116 0.105 0.000 0.138 0.183 12.458

Problem 29

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD TBD

size

71 69 376 67 63 154 0 85 182 76

N.S.

1 0.97 5.30 0.94 0.89 2.17 0.00 1.20 2.56 1.07

time (sec)

N/A 0.253 1.077 0.915 0.112 0.094 0.000 0.137 0.221 0.109

Problem 30

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD TBD

size

47 46 329 44 40 118 0 42 76 39

N.S.

1 0.98 7.00 0.94 0.85 2.51 0.00 0.89 1.62 0.83

time (sec)

N/A 0.222 0.459 0.418 0.106 0.093 0.000 0.140 0.156 12.398

Problem 31

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

55 54 239 71 64 156 0 73 84 123

N.S.

1 0.98 4.35 1.29 1.16 2.84 0.00 1.33 1.53 2.24

time (sec)

N/A 0.241 1.013 0.421 0.111 0.102 0.000 0.167 0.158 0.199

Problem 32

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD TBD

size

86 99 371 115 128 327 0 140 162 392

N.S.

1 1.15 4.31 1.34 1.49 3.80 0.00 1.63 1.88 4.56

time (sec)

N/A 0.279 1.792 0.557 0.112 0.123 0.000 0.149 0.161 12.987

Problem 33

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD TBD

size

129 155 549 181 231 693 0 233 268 870

N.S.

1 1.20 4.26 1.40 1.79 5.37 0.00 1.81 2.08 6.74

time (sec)

N/A 0.339 4.677 0.728 0.117 0.148 0.000 0.138 0.168 15.937

Problem 34

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD TBD

size

166 199 357 170 209 428 0 237 384 1448

N.S.

1 1.20 2.15 1.02 1.26 2.58 0.00 1.43 2.31 8.72

time (sec)

N/A 0.442 3.374 2.303 0.110 0.120 0.000 0.174 0.196 13.844

Problem 35

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD TBD

size

117 141 303 119 137 332 0 152 230 494

N.S.

1 1.21 2.59 1.02 1.17 2.84 0.00 1.30 1.97 4.22

time (sec)

N/A 0.337 1.341 1.210 0.124 0.107 0.000 0.159 0.176 12.753

Problem 36

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD TBD

size

76 91 245 78 77 257 0 92 104 111

N.S.

1 1.20 3.22 1.03 1.01 3.38 0.00 1.21 1.37 1.46

time (sec)

N/A 0.276 0.549 0.697 0.116 0.110 0.000 0.172 0.204 12.666

Problem 37

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD TBD

size

45 45 182 46 44 231 0 65 85 460

N.S.

1 1.00 4.04 1.02 0.98 5.13 0.00 1.44 1.89 10.22

time (sec)

N/A 0.258 1.384 0.332 0.110 0.098 0.000 0.149 0.157 12.657

Problem 38

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD TBD

size

54 52 189 52 50 271 0 71 120 46

N.S.

1 0.96 3.50 0.96 0.93 5.02 0.00 1.31 2.22 0.85

time (sec)

N/A 0.241 0.920 0.449 0.111 0.105 0.000 0.191 0.158 12.507

Problem 39

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD TBD

size

76 77 226 69 82 397 0 103 204 80

N.S.

1 1.01 2.97 0.91 1.08 5.22 0.00 1.36 2.68 1.05

time (sec)

N/A 0.261 1.974 0.587 0.115 0.110 0.000 0.150 0.164 12.418

Problem 40

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD TBD

size

105 97 318 93 137 587 0 173 329 112

N.S.

1 0.92 3.03 0.89 1.30 5.59 0.00 1.65 3.13 1.07

time (sec)

N/A 0.328 1.671 0.764 0.102 0.112 0.000 0.244 0.189 12.944

Problem 41

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD TBD

size

143 136 454 159 148 405 0 206 782 195

N.S.

1 0.95 3.17 1.11 1.03 2.83 0.00 1.44 5.47 1.36

time (sec)

N/A 0.339 5.330 3.409 0.106 0.114 0.000 0.117 0.254 0.152

Problem 42

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD TBD

size

114 107 403 102 104 297 0 133 523 130

N.S.

1 0.94 3.54 0.89 0.91 2.61 0.00 1.17 4.59 1.14

time (sec)

N/A 0.325 2.911 1.915 0.115 0.114 0.000 0.114 0.234 0.137

Problem 43

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD TBD

size

84 83 393 69 70 201 0 72 525 72

N.S.

1 0.99 4.68 0.82 0.83 2.39 0.00 0.86 6.25 0.86

time (sec)

N/A 0.239 2.482 0.869 0.110 0.099 0.000 0.147 0.170 12.363

Problem 44

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD TBD

size

99 106 384 103 138 390 0 150 530 2188

N.S.

1 1.07 3.88 1.04 1.39 3.94 0.00 1.52 5.35 22.10

time (sec)

N/A 0.285 1.636 0.643 0.107 0.141 0.000 0.176 0.171 13.660

Problem 45

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD TBD

size

147 157 468 148 231 698 0 235 770 1845

N.S.

1 1.07 3.18 1.01 1.57 4.75 0.00 1.60 5.24 12.55

time (sec)

N/A 0.348 2.203 0.793 0.107 0.161 0.000 0.195 0.207 13.478

Problem 46

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD TBD

size

197 221 450 213 369 1202 0 325 895 4338

N.S.

1 1.12 2.28 1.08 1.87 6.10 0.00 1.65 4.54 22.02

time (sec)

N/A 0.414 2.659 1.059 0.125 0.200 0.000 0.201 0.231 17.136

Problem 47

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD TBD

size

267 298 2468 204 302 674 0 294 967 1461

N.S.

1 1.12 9.24 0.76 1.13 2.52 0.00 1.10 3.62 5.47

time (sec)

N/A 0.556 20.020 4.392 0.117 0.145 0.000 0.171 0.280 14.623

Problem 48

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD TBD

size

191 213 1105 147 205 522 0 193 664 435

N.S.

1 1.12 5.79 0.77 1.07 2.73 0.00 1.01 3.48 2.28

time (sec)

N/A 0.421 11.371 2.537 0.111 0.125 0.000 0.179 0.252 13.653

Problem 49

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD TBD

size

130 145 699 109 126 441 0 149 663 816

N.S.

1 1.12 5.38 0.84 0.97 3.39 0.00 1.15 5.10 6.28

time (sec)

N/A 0.331 8.846 1.408 0.112 0.120 0.000 0.194 0.186 13.015

Problem 50

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD TBD

size

92 111 240 90 106 435 0 114 562 2056

N.S.

1 1.21 2.61 0.98 1.15 4.73 0.00 1.24 6.11 22.35

time (sec)

N/A 0.265 2.707 0.494 0.114 0.125 0.000 0.168 0.169 14.229

Problem 51

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD TBD

size

91 92 242 78 117 407 0 127 427 91

N.S.

1 1.01 2.66 0.86 1.29 4.47 0.00 1.40 4.69 1.00

time (sec)

N/A 0.265 2.246 0.650 0.115 0.114 0.000 0.162 0.192 12.501

Problem 52

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD TBD

size

123 125 303 106 193 663 0 185 735 141

N.S.

1 1.02 2.46 0.86 1.57 5.39 0.00 1.50 5.98 1.15

time (sec)

N/A 0.385 4.873 0.882 0.115 0.147 0.000 0.225 0.215 13.421

Problem 53

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD TBD

size

148 195 777 124 268 987 0 254 927 198

N.S.

1 1.32 5.25 0.84 1.81 6.67 0.00 1.72 6.26 1.34

time (sec)

N/A 0.478 3.178 1.129 0.115 0.147 0.000 0.261 0.250 14.375

Problem 54

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD TBD

size

200 214 1641 190 204 579 0 254 1391 255

N.S.

1 1.07 8.20 0.95 1.02 2.90 0.00 1.27 6.96 1.28

time (sec)

N/A 0.532 9.004 7.334 0.111 0.142 0.000 0.221 0.412 12.510

Problem 55

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD TBD

size

154 152 1153 125 149 439 0 165 1390 172

N.S.

1 0.99 7.49 0.81 0.97 2.85 0.00 1.07 9.03 1.12

time (sec)

N/A 0.449 7.606 4.056 0.122 0.122 0.000 0.122 0.290 0.151

Problem 56

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD TBD

size

116 120 656 83 103 299 0 89 1410 105

N.S.

1 1.03 5.66 0.72 0.89 2.58 0.00 0.77 12.16 0.91

time (sec)

N/A 0.262 4.566 2.148 0.110 0.111 0.000 0.124 0.221 0.138

Problem 57

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD TBD

size

154 173 447 156 261 779 0 245 1447 3557

N.S.

1 1.12 2.90 1.01 1.69 5.06 0.00 1.59 9.40 23.10

time (sec)

N/A 0.378 2.672 1.178 0.114 0.203 0.000 0.161 0.227 15.792

Problem 58

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD TBD

size

213 237 532 198 399 1332 0 329 1863 2728

N.S.

1 1.11 2.50 0.93 1.87 6.25 0.00 1.54 8.75 12.81

time (sec)

N/A 0.458 3.705 1.339 0.114 0.244 0.000 0.194 0.285 14.206

Problem 59

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD TBD

size

257 284 549 259 528 1833 0 462 1988 5613

N.S.

1 1.11 2.14 1.01 2.05 7.13 0.00 1.80 7.74 21.84

time (sec)

N/A 0.522 4.511 1.724 0.115 0.275 0.000 0.239 0.359 17.132

Problem 60

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD TBD

size

314 346 1639 247 418 930 0 351 1719 2117

N.S.

1 1.10 5.22 0.79 1.33 2.96 0.00 1.12 5.47 6.74

time (sec)

N/A 0.634 15.999 8.401 0.115 0.180 0.000 0.227 0.477 15.567

Problem 61

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD TBD

size

238 261 2469 193 299 803 0 306 1736 1317

N.S.

1 1.10 10.37 0.81 1.26 3.37 0.00 1.29 7.29 5.53

time (sec)

N/A 0.480 20.024 4.609 0.141 0.163 0.000 0.204 0.352 15.051

Problem 62

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD TBD

size

184 216 1915 155 272 815 0 208 1738 2628

N.S.

1 1.17 10.41 0.84 1.48 4.43 0.00 1.13 9.45 14.28

time (sec)

N/A 0.403 14.057 3.026 0.114 0.156 0.000 0.246 0.257 15.713

Problem 63

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD TBD

size

144 175 332 147 231 819 0 196 1496 3271

N.S.

1 1.22 2.31 1.02 1.60 5.69 0.00 1.36 10.39 22.72

time (sec)

N/A 0.333 5.519 1.152 0.115 0.141 0.000 0.215 0.216 16.389

Problem 64

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD TBD

size

124 132 749 97 219 615 0 177 922 146

N.S.

1 1.06 6.04 0.78 1.77 4.96 0.00 1.43 7.44 1.18

time (sec)

N/A 0.291 6.148 1.185 0.116 0.130 0.000 0.326 0.262 13.177

Problem 65

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD TBD

size

164 166 994 140 323 1009 0 264 1367 207

N.S.

1 1.01 6.06 0.85 1.97 6.15 0.00 1.61 8.34 1.26

time (sec)

N/A 0.468 3.848 1.311 0.122 0.163 0.000 0.263 0.286 14.656

Problem 66

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD TBD

size

208 249 479 180 434 1423 0 367 1865 267

N.S.

1 1.20 2.30 0.87 2.09 6.84 0.00 1.76 8.97 1.28

time (sec)

N/A 0.586 4.881 1.816 0.132 0.175 0.000 0.361 0.321 15.135

Problem 67

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

139 143 152 326 171 306 0 1281 24 0

N.S.

1 1.03 1.09 2.35 1.23 2.20 0.00 9.22 0.17 0.00

time (sec)

N/A 0.322 0.620 5.246 0.116 0.234 0.000 0.577 0.172 0.000

Problem 68

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

100 95 120 236 116 243 0 85 24 0

N.S.

1 0.95 1.20 2.36 1.16 2.43 0.00 0.85 0.24 0.00

time (sec)

N/A 0.287 0.255 4.056 0.113 0.218 0.000 0.210 0.158 0.000

Problem 69

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

66 64 99 93 88 193 0 55 22 87

N.S.

1 0.97 1.50 1.41 1.33 2.92 0.00 0.83 0.33 1.32

time (sec)

N/A 0.244 0.094 0.240 0.114 0.208 0.000 0.176 0.162 12.862

Problem 70

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

82 80 119 554 0 536 0 405 22 0

N.S.

1 0.98 1.45 6.76 0.00 6.54 0.00 4.94 0.27 0.00

time (sec)

N/A 0.290 0.091 3.984 0.000 0.161 0.000 0.543 0.167 0.000

Problem 71

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

124 131 163 1244 0 907 0 578 24 0

N.S.

1 1.06 1.31 10.03 0.00 7.31 0.00 4.66 0.19 0.00

time (sec)

N/A 0.327 0.299 4.069 0.000 0.227 0.000 0.633 0.163 0.000

Problem 72

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

183 207 209 2007 0 1516 0 867 24 0

N.S.

1 1.13 1.14 10.97 0.00 8.28 0.00 4.74 0.13 0.00

time (sec)

N/A 0.423 1.074 4.122 0.000 0.453 0.000 0.958 0.165 0.000

Problem 73

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

N/A Yes N/A No TBD TBD TBD TBD TBD TBD

size

240 270 0 831 0 1715 0 0 24 0

N.S.

1 1.12 0.00 3.46 0.00 7.15 0.00 0.00 0.10 0.00

time (sec)

N/A 0.524 0.000 35.727 0.000 2.485 0.000 0.000 0.160 0.000

Problem 74

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

181 197 0 645 0 1565 0 0 24 0

N.S.

1 1.09 0.00 3.56 0.00 8.65 0.00 0.00 0.13 0.00

time (sec)

N/A 0.392 0.000 21.786 0.000 0.863 0.000 0.000 0.174 0.000

Problem 75

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD TBD

size

123 127 432 481 0 1417 0 0 24 0

N.S.

1 1.03 3.51 3.91 0.00 11.52 0.00 0.00 0.20 0.00

time (sec)

N/A 0.314 3.327 18.800 0.000 0.402 0.000 0.000 0.160 0.000

Problem 76

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

79 77 284 351 3227 1227 0 0 15 0

N.S.

1 0.97 3.59 4.44 40.85 15.53 0.00 0.00 0.19 0.00

time (sec)

N/A 0.236 1.373 17.822 0.631 0.298 0.000 0.000 0.161 0.000

Problem 77

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

68 66 61 324 50 306 0 0 24 0

N.S.

1 0.97 0.90 4.76 0.74 4.50 0.00 0.00 0.35 0.00

time (sec)

N/A 0.254 0.176 17.876 0.035 0.135 0.000 0.000 0.158 0.000

Problem 78

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD TBD

size

105 100 285 589 82 436 0 0 24 0

N.S.

1 0.95 2.71 5.61 0.78 4.15 0.00 0.00 0.23 0.00

time (sec)

N/A 0.281 5.574 18.878 0.032 0.272 0.000 0.000 0.165 0.000

Problem 79

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

149 157 422 903 143 656 0 0 24 0

N.S.

1 1.05 2.83 6.06 0.96 4.40 0.00 0.00 0.16 0.00

time (sec)

N/A 0.325 6.943 19.313 0.038 1.117 0.000 0.000 0.163 0.000

Problem 80

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

196 175 188 498 277 362 0 1952 61 0

N.S.

1 0.89 0.96 2.54 1.41 1.85 0.00 9.96 0.31 0.00

time (sec)

N/A 0.330 0.984 16.865 0.115 0.334 0.000 1.763 0.225 0.000

Problem 81

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

162 144 164 399 250 289 0 146 61 0

N.S.

1 0.89 1.01 2.46 1.54 1.78 0.00 0.90 0.38 0.00

time (sec)

N/A 0.323 0.524 9.302 0.113 0.313 0.000 0.396 0.236 0.000

Problem 82

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

100 98 73 121 142 242 0 87 57 61

N.S.

1 0.98 0.73 1.21 1.42 2.42 0.00 0.87 0.57 0.61

time (sec)

N/A 0.255 0.475 0.219 0.109 0.238 0.000 0.196 0.226 14.111

Problem 83

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

122 119 171 1466 0 755 0 0 57 0

N.S.

1 0.98 1.40 12.02 0.00 6.19 0.00 0.00 0.47 0.00

time (sec)

N/A 0.335 0.424 8.936 0.000 0.224 0.000 0.000 0.220 0.000

Problem 84

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

N/A Yes Yes No TBD TBD TBD TBD TBD TBD

size

161 162 202 2037 0 1024 0 0 61 0

N.S.

1 1.01 1.25 12.65 0.00 6.36 0.00 0.00 0.38 0.00

time (sec)

N/A 0.384 1.062 9.216 0.000 0.240 0.000 0.000 0.229 0.000

Problem 85

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

218 226 262 2890 0 1551 0 0 61 0

N.S.

1 1.04 1.20 13.26 0.00 7.11 0.00 0.00 0.28 0.00

time (sec)

N/A 0.490 2.553 9.266 0.000 0.278 0.000 0.000 0.230 0.000

Problem 86

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

N/A Yes N/A No TBD TBD TBD TBD TBD TBD

size

298 311 0 1172 0 1855 0 0 61 0

N.S.

1 1.04 0.00 3.93 0.00 6.22 0.00 0.00 0.20 0.00

time (sec)

N/A 0.606 0.000 37.056 0.000 9.540 0.000 0.000 0.232 0.000

Problem 87

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

N/A Yes Yes No TBD TBD TBD TBD TBD TBD

size

217 221 225 961 0 1667 0 0 61 0

N.S.

1 1.02 1.04 4.43 0.00 7.68 0.00 0.00 0.28 0.00

time (sec)

N/A 0.469 3.126 36.352 0.000 2.919 0.000 0.000 0.221 0.000

Problem 88

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

N/A Yes No No TBD TBD TBD TBD TBD TBD

size

161 159 493 825 0 1535 0 0 61 0

N.S.

1 0.99 3.06 5.12 0.00 9.53 0.00 0.00 0.38 0.00

time (sec)

N/A 0.364 3.439 23.526 0.000 0.937 0.000 0.000 0.231 0.000

Problem 89

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

N/A Yes No No TBD TBD TBD TBD TBD TBD

size

118 116 527 673 0 1457 0 0 44 0

N.S.

1 0.98 4.47 5.70 0.00 12.35 0.00 0.00 0.37 0.00

time (sec)

N/A 0.280 3.167 20.885 0.000 0.439 0.000 0.000 0.183 0.000

Problem 90

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

105 103 64 616 98 370 0 0 61 0

N.S.

1 0.98 0.61 5.87 0.93 3.52 0.00 0.00 0.58 0.00

time (sec)

N/A 0.279 0.184 20.866 0.032 0.287 0.000 0.000 0.229 0.000

Problem 91

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD TBD

size

172 154 163 654 243 472 0 0 61 0

N.S.

1 0.90 0.95 3.80 1.41 2.74 0.00 0.00 0.35 0.00

time (sec)

N/A 0.324 5.555 21.831 0.040 1.243 0.000 0.000 0.235 0.000

Problem 92

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

209 188 512 999 273 682 0 0 61 0

N.S.

1 0.90 2.45 4.78 1.31 3.26 0.00 0.00 0.29 0.00

time (sec)

N/A 0.361 8.643 23.002 0.037 5.777 0.000 0.000 0.235 0.000

Problem 93

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

123 126 93 89 162 87 0 928 38 0

N.S.

1 1.02 0.76 0.72 1.32 0.71 0.00 7.54 0.31 0.00

time (sec)

N/A 0.312 0.775 2.409 0.035 0.101 0.000 0.669 0.170 0.000

Problem 94

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

74 72 64 58 83 57 0 59 38 0

N.S.

1 0.97 0.86 0.78 1.12 0.77 0.00 0.80 0.51 0.00

time (sec)

N/A 0.272 0.156 2.125 0.035 0.089 0.000 0.319 0.169 0.000

Problem 95

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

30 30 48 31 28 37 0 31 36 46

N.S.

1 1.00 1.60 1.03 0.93 1.23 0.00 1.03 1.20 1.53

time (sec)

N/A 0.224 0.086 0.398 0.026 0.082 0.000 0.179 0.172 13.296

Problem 96

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

43 43 86 247 0 149 0 49 36 0

N.S.

1 1.00 2.00 5.74 0.00 3.47 0.00 1.14 0.84 0.00

time (sec)

N/A 0.250 0.082 1.326 0.000 0.137 0.000 0.192 0.170 0.000

Problem 97

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

87 93 140 567 0 314 0 480 38 0

N.S.

1 1.07 1.61 6.52 0.00 3.61 0.00 5.52 0.44 0.00

time (sec)

N/A 0.287 0.631 1.409 0.000 0.149 0.000 0.474 0.173 0.000

Problem 98

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

138 157 78 975 0 500 0 785 38 0

N.S.

1 1.14 0.57 7.07 0.00 3.62 0.00 5.69 0.28 0.00

time (sec)

N/A 0.348 0.120 1.443 0.000 0.179 0.000 0.771 0.163 0.000

Problem 99

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

193 215 163 633 0 639 0 0 38 0

N.S.

1 1.11 0.84 3.28 0.00 3.31 0.00 0.00 0.20 0.00

time (sec)

N/A 0.442 1.000 19.707 0.000 1.077 0.000 0.000 0.172 0.000

Problem 100

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

135 148 145 463 0 565 0 0 38 0

N.S.

1 1.10 1.07 3.43 0.00 4.19 0.00 0.00 0.28 0.00

time (sec)

N/A 0.326 0.278 9.355 0.000 0.368 0.000 0.000 0.164 0.000