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 C A A A B B

verified

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

size

14 14 14 15 69 15 12 16 15 14

N.S.

1 1.00 1.00 1.07 4.93 1.07 0.86 1.14 1.07 1.00

time (sec)

N/A 0.271 0.018 0.121 0.095 0.100 0.057 0.149 0.185 23.623

Problem 2

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

14 14 14 15 104 15 12 18 15 14

N.S.

1 1.00 1.00 1.07 7.43 1.07 0.86 1.29 1.07 1.00

time (sec)

N/A 0.256 0.018 0.056 0.037 0.074 0.085 0.143 0.170 23.748

Problem 3

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

12 52 13 13 60 13 10 701 13 12

N.S.

1 4.33 1.08 1.08 5.00 1.08 0.83 58.42 1.08 1.00

time (sec)

N/A 0.319 0.016 0.043 0.037 0.070 0.079 0.161 0.184 23.541

Problem 4

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

14 14 14 15 44 17 10 0 17 14

N.S.

1 1.00 1.00 1.07 3.14 1.21 0.71 0.00 1.21 1.00

time (sec)

N/A 0.259 0.021 0.079 0.095 0.069 0.078 0.000 0.162 24.549

Problem 5

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

14 14 14 15 74 19 12 0 19 14

N.S.

1 1.00 1.00 1.07 5.29 1.36 0.86 0.00 1.36 1.00

time (sec)

N/A 0.257 0.021 0.072 0.095 0.083 0.080 0.000 0.184 24.138

Problem 6

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

14 14 14 15 69 19 12 0 19 14

N.S.

1 1.00 1.00 1.07 4.93 1.36 0.86 0.00 1.36 1.00

time (sec)

N/A 0.260 0.021 0.093 0.102 0.072 0.085 0.000 0.179 23.802

Problem 7

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

14 14 14 15 94 18 14 16 15 15

N.S.

1 1.00 1.00 1.07 6.71 1.29 1.00 1.14 1.07 1.07

time (sec)

N/A 0.268 0.026 0.460 0.126 0.082 0.229 0.153 0.182 22.983

Problem 8

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

35 44 35 34 94 34 61 49 34 34

N.S.

1 1.26 1.00 0.97 2.69 0.97 1.74 1.40 0.97 0.97

time (sec)

N/A 0.309 0.024 0.057 0.105 0.081 0.060 0.144 0.187 22.833

Problem 9

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

35 42 35 34 129 34 61 37 34 34

N.S.

1 1.20 1.00 0.97 3.69 0.97 1.74 1.06 0.97 0.97

time (sec)

N/A 0.295 0.022 0.048 0.040 0.080 0.079 0.146 0.170 23.923

Problem 10

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

29 53 30 30 82 30 49 787 30 30

N.S.

1 1.83 1.03 1.03 2.83 1.03 1.69 27.14 1.03 1.03

time (sec)

N/A 0.322 0.021 0.034 0.038 0.097 0.080 0.137 0.205 23.976

Problem 11

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

33 42 33 35 69 36 49 0 36 34

N.S.

1 1.27 1.00 1.06 2.09 1.09 1.48 0.00 1.09 1.03

time (sec)

N/A 0.296 0.026 0.058 0.099 0.072 0.093 0.000 0.175 23.803

Problem 12

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

35 44 35 39 99 40 58 0 40 36

N.S.

1 1.26 1.00 1.11 2.83 1.14 1.66 0.00 1.14 1.03

time (sec)

N/A 0.303 0.028 0.072 0.094 0.074 0.113 0.000 0.171 23.512

Problem 13

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

35 44 35 39 94 40 60 0 40 36

N.S.

1 1.26 1.00 1.11 2.69 1.14 1.71 0.00 1.14 1.03

time (sec)

N/A 0.302 0.029 0.092 0.094 0.071 0.107 0.000 0.203 22.927

Problem 14

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

35 50 35 36 121 39 104 51 36 0

N.S.

1 1.43 1.00 1.03 3.46 1.11 2.97 1.46 1.03 0.00

time (sec)

N/A 0.361 0.068 8.490 0.120 0.078 4.176 0.198 0.166 0.000

Problem 15

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

141 226 100 150 183 143 202 5426 150 150

N.S.

1 1.60 0.71 1.06 1.30 1.01 1.43 38.48 1.06 1.06

time (sec)

N/A 0.725 0.173 0.065 0.034 0.076 0.089 0.192 0.178 22.609

Problem 16

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

74 92 53 61 81 60 85 1690 61 62

N.S.

1 1.24 0.72 0.82 1.09 0.81 1.15 22.84 0.82 0.84

time (sec)

N/A 0.420 0.107 0.030 0.033 0.068 0.086 0.161 0.174 22.578

Problem 17

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

116 116 91 130 0 155 0 0 25 0

N.S.

1 1.00 0.78 1.12 0.00 1.34 0.00 0.00 0.22 0.00

time (sec)

N/A 0.486 0.264 0.098 0.000 0.086 0.000 0.000 0.167 0.000

Problem 18

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

304 306 176 0 0 276 0 0 35 0

N.S.

1 1.01 0.58 0.00 0.00 0.91 0.00 0.00 0.12 0.00

time (sec)

N/A 1.169 0.668 0.000 0.000 0.114 0.000 0.000 0.183 0.000

Problem 19

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

203 306 144 203 243 193 262 9878 203 203

N.S.

1 1.51 0.71 1.00 1.20 0.95 1.29 48.66 1.00 1.00

time (sec)

N/A 0.947 0.186 0.082 0.039 0.070 0.104 0.237 0.186 22.975

Problem 20

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

99 117 67 77 101 76 104 2601 77 77

N.S.

1 1.18 0.68 0.78 1.02 0.77 1.05 26.27 0.78 0.78

time (sec)

N/A 0.483 0.115 0.033 0.033 0.068 0.068 0.162 0.186 22.857

Problem 21

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

211 211 46 120 0 268 0 0 25 0

N.S.

1 1.00 0.22 0.57 0.00 1.27 0.00 0.00 0.12 0.00

time (sec)

N/A 0.885 5.098 0.086 0.000 0.084 0.000 0.000 0.180 0.000

Problem 22

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

617 618 121 0 0 460 0 0 35 0

N.S.

1 1.00 0.20 0.00 0.00 0.75 0.00 0.00 0.06 0.00

time (sec)

N/A 2.239 0.214 0.000 0.000 0.085 0.000 0.000 0.176 0.000

Problem 23

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

177 389 120 284 360 241 384 9704 284 284

N.S.

1 2.20 0.68 1.60 2.03 1.36 2.17 54.82 1.60 1.60

time (sec)

N/A 1.097 0.275 0.116 0.043 0.077 0.115 0.237 0.190 23.144

Problem 24

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

80 135 56 80 117 74 116 2068 80 80

N.S.

1 1.69 0.70 1.00 1.46 0.92 1.45 25.85 1.00 1.00

time (sec)

N/A 0.518 0.156 0.036 0.035 0.071 0.073 0.164 0.171 23.439

Problem 25

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

148 148 128 223 0 305 0 0 27 0

N.S.

1 1.00 0.86 1.51 0.00 2.06 0.00 0.00 0.18 0.00

time (sec)

N/A 0.726 0.970 0.139 0.000 0.080 0.000 0.000 0.194 0.000

Problem 26

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

304 393 249 624 0 632 0 0 0 0

N.S.

1 1.29 0.82 2.05 0.00 2.08 0.00 0.00 0.00 0.00

time (sec)

N/A 1.548 1.767 0.118 0.000 0.092 0.000 0.000 0.215 0.000

Problem 27

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

132 132 120 127 0 106 0 0 37 0

N.S.

1 1.00 0.91 0.96 0.00 0.80 0.00 0.00 0.28 0.00

time (sec)

N/A 0.677 0.359 0.079 0.000 0.078 0.000 0.000 0.181 0.000

Problem 28

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

100 100 83 100 0 72 0 0 22 0

N.S.

1 1.00 0.83 1.00 0.00 0.72 0.00 0.00 0.22 0.00

time (sec)

N/A 0.503 0.198 0.038 0.000 0.073 0.000 0.000 0.178 0.000

Problem 29

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

118 118 94 102 0 98 0 0 21 0

N.S.

1 1.00 0.80 0.86 0.00 0.83 0.00 0.00 0.18 0.00

time (sec)

N/A 0.486 0.142 0.033 0.000 0.070 0.000 0.000 0.167 0.000

Problem 30

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

111 111 93 112 0 80 0 0 23 0

N.S.

1 1.00 0.84 1.01 0.00 0.72 0.00 0.00 0.21 0.00

time (sec)

N/A 0.666 0.304 0.046 0.000 0.083 0.000 0.000 0.189 0.000

Problem 31

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

145 145 121 142 0 128 0 0 25 0

N.S.

1 1.00 0.83 0.98 0.00 0.88 0.00 0.00 0.17 0.00

time (sec)

N/A 0.720 0.567 0.056 0.000 0.080 0.000 0.000 0.183 0.000

Problem 32

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

232 232 268 755 0 330 0 0 119 0

N.S.

1 1.00 1.16 3.25 0.00 1.42 0.00 0.00 0.51 0.00

time (sec)

N/A 1.101 0.905 0.226 0.000 0.081 0.000 0.000 0.182 0.000

Problem 33

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

186 186 217 561 0 267 0 0 65 0

N.S.

1 1.00 1.17 3.02 0.00 1.44 0.00 0.00 0.35 0.00

time (sec)

N/A 0.893 1.865 0.073 0.000 0.082 0.000 0.000 0.185 0.000

Problem 34

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

158 158 153 350 0 224 0 0 25 0

N.S.

1 1.00 0.97 2.22 0.00 1.42 0.00 0.00 0.16 0.00

time (sec)

N/A 0.685 0.610 0.059 0.000 0.080 0.000 0.000 0.174 0.000

Problem 35

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

138 138 127 169 0 192 0 0 24 0

N.S.

1 1.00 0.92 1.22 0.00 1.39 0.00 0.00 0.17 0.00

time (sec)

N/A 0.619 0.536 0.048 0.000 0.080 0.000 0.000 0.184 0.000

Problem 36

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

169 169 163 363 0 241 0 0 28 0

N.S.

1 1.00 0.96 2.15 0.00 1.43 0.00 0.00 0.17 0.00

time (sec)

N/A 0.897 0.665 0.065 0.000 0.094 0.000 0.000 0.169 0.000

Problem 37

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

212 212 320 561 0 313 0 0 30 0

N.S.

1 1.00 1.51 2.65 0.00 1.48 0.00 0.00 0.14 0.00

time (sec)

N/A 1.056 0.738 0.082 0.000 0.084 0.000 0.000 0.194 0.000

Problem 38

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

141 171 100 260 309 227 350 8802 260 260

N.S.

1 1.21 0.71 1.84 2.19 1.61 2.48 62.43 1.84 1.84

time (sec)

N/A 0.770 0.176 0.077 0.043 0.073 0.116 0.218 0.184 23.736

Problem 39

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

110 130 78 165 206 147 231 4706 165 165

N.S.

1 1.18 0.71 1.50 1.87 1.34 2.10 42.78 1.50 1.50

time (sec)

N/A 0.584 0.139 0.058 0.039 0.072 0.090 0.199 0.167 22.994

Problem 40

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

79 89 56 91 123 84 133 2214 91 91

N.S.

1 1.13 0.71 1.15 1.56 1.06 1.68 28.03 1.15 1.15

time (sec)

N/A 0.444 0.125 0.040 0.040 0.070 0.070 0.167 0.184 22.808

Problem 41

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

48 48 34 38 60 38 60 898 38 38

N.S.

1 1.00 0.71 0.79 1.25 0.79 1.25 18.71 0.79 0.79

time (sec)

N/A 0.324 0.091 0.028 0.034 0.074 0.057 0.132 0.163 22.774

Problem 42

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

20 20 21 21 20 21 20 21 21 21

N.S.

1 1.00 1.05 1.05 1.00 1.05 1.00 1.05 1.05 1.05

time (sec)

N/A 0.243 0.027 0.016 0.026 0.070 0.035 0.132 0.173 22.796

Problem 43

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

31 31 31 56 0 39 0 0 22 0

N.S.

1 1.00 1.00 1.81 0.00 1.26 0.00 0.00 0.71 0.00

time (sec)

N/A 0.294 0.098 0.052 0.000 0.069 0.000 0.000 0.193 0.000

Problem 44

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

57 57 55 99 0 77 0 0 33 0

N.S.

1 1.00 0.96 1.74 0.00 1.35 0.00 0.00 0.58 0.00

time (sec)

N/A 0.369 0.177 0.063 0.000 0.068 0.000 0.000 0.164 0.000

Problem 45

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

95 92 88 155 0 134 0 0 44 0

N.S.

1 0.97 0.93 1.63 0.00 1.41 0.00 0.00 0.46 0.00

time (sec)

N/A 0.472 0.179 0.083 0.000 0.071 0.000 0.000 0.207 0.000

Problem 46

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

128 127 99 199 0 209 0 0 55 0

N.S.

1 0.99 0.77 1.55 0.00 1.63 0.00 0.00 0.43 0.00

time (sec)

N/A 0.590 0.190 0.115 0.000 0.068 0.000 0.000 0.176 0.000

Problem 47

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

161 162 121 243 0 300 0 0 66 0

N.S.

1 1.01 0.75 1.51 0.00 1.86 0.00 0.00 0.41 0.00

time (sec)

N/A 0.704 0.213 0.157 0.000 0.072 0.000 0.000 0.182 0.000

Problem 48

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

141 171 100 260 309 227 350 8802 260 260

N.S.

1 1.21 0.71 1.84 2.19 1.61 2.48 62.43 1.84 1.84

time (sec)

N/A 0.787 0.035 0.073 0.043 0.072 0.105 0.222 0.177 22.891

Problem 49

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

110 130 78 165 206 147 231 4706 165 165

N.S.

1 1.18 0.71 1.50 1.87 1.34 2.10 42.78 1.50 1.50

time (sec)

N/A 0.602 0.027 0.050 0.042 0.072 0.089 0.189 0.180 22.774

Problem 50

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

79 89 56 91 123 84 133 2214 91 91

N.S.

1 1.13 0.71 1.15 1.56 1.06 1.68 28.03 1.15 1.15

time (sec)

N/A 0.468 0.025 0.037 0.040 0.074 0.066 0.170 0.197 22.902

Problem 51

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

57 57 55 99 0 77 0 0 33 0

N.S.

1 1.00 0.96 1.74 0.00 1.35 0.00 0.00 0.58 0.00

time (sec)

N/A 0.393 0.016 0.080 0.000 0.076 0.000 0.000 0.178 0.000

Problem 52

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

95 92 88 155 0 134 0 0 44 0

N.S.

1 0.97 0.93 1.63 0.00 1.41 0.00 0.00 0.46 0.00

time (sec)

N/A 0.503 0.033 0.103 0.000 0.072 0.000 0.000 0.183 0.000

Problem 53

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

128 127 99 199 0 209 0 0 55 0

N.S.

1 0.99 0.77 1.55 0.00 1.63 0.00 0.00 0.43 0.00

time (sec)

N/A 0.635 0.069 0.151 0.000 0.076 0.000 0.000 0.179 0.000

Problem 54

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

161 162 121 243 0 300 0 0 66 0

N.S.

1 1.01 0.75 1.51 0.00 1.86 0.00 0.00 0.41 0.00

time (sec)

N/A 0.768 0.024 0.221 0.000 0.089 0.000 0.000 0.174 0.000

Problem 55

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

10 41 10 11 45 10 8 569 10 10

N.S.

1 4.10 1.00 1.10 4.50 1.00 0.80 56.90 1.00 1.00

time (sec)

N/A 0.321 0.011 0.042 0.032 0.076 0.049 0.132 0.199 22.746

Problem 56

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

17 42 17 18 45 17 32 609 17 17

N.S.

1 2.47 1.00 1.06 2.65 1.00 1.88 35.82 1.00 1.00

time (sec)

N/A 0.336 0.015 0.030 0.032 0.091 0.052 0.125 0.170 22.842

Problem 57

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

15 15 15 14 13 13 14 13 14 13

N.S.

1 1.00 1.00 0.93 0.87 0.87 0.93 0.87 0.93 0.87

time (sec)

N/A 0.239 0.023 0.021 0.030 0.066 0.037 0.118 0.177 23.070

Problem 58

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

15 15 15 16 15 15 15 15 15 15

N.S.

1 1.00 1.00 1.07 1.00 1.00 1.00 1.00 1.00 1.00

time (sec)

N/A 0.242 0.001 0.017 0.030 0.076 0.036 0.139 0.178 0.002

Problem 59

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

19 19 19 12 13 13 10 13 11 11

N.S.

1 1.00 1.00 0.63 0.68 0.68 0.53 0.68 0.58 0.58

time (sec)

N/A 0.247 0.025 0.051 0.032 0.074 0.035 0.117 0.168 0.096

Problem 60

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

131 158 36 99 24 89 0 94 117 82

N.S.

1 1.21 0.27 0.76 0.18 0.68 0.00 0.72 0.89 0.63

time (sec)

N/A 0.773 0.114 0.034 0.074 0.084 0.000 0.117 0.186 23.417

Problem 61

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

108 126 36 87 24 77 0 82 93 72

N.S.

1 1.17 0.33 0.81 0.22 0.71 0.00 0.76 0.86 0.67

time (sec)

N/A 0.631 0.112 0.026 0.071 0.101 0.000 0.116 0.183 17.450

Problem 62

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

85 94 36 75 24 65 0 70 69 75

N.S.

1 1.11 0.42 0.88 0.28 0.76 0.00 0.82 0.81 0.88

time (sec)

N/A 0.500 0.147 0.022 0.075 0.076 0.000 0.117 0.174 24.068

Problem 63

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

62 62 30 66 24 51 0 58 50 55

N.S.

1 1.00 0.48 1.06 0.39 0.82 0.00 0.94 0.81 0.89

time (sec)

N/A 0.394 0.097 0.022 0.075 0.087 0.000 0.121 0.183 23.131

Problem 64

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

38 38 30 27 29 34 0 28 27 32

N.S.

1 1.00 0.79 0.71 0.76 0.89 0.00 0.74 0.71 0.84

time (sec)

N/A 0.302 0.102 0.022 0.075 0.073 0.000 0.121 0.162 22.547

Problem 65

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

54 54 38 64 24 44 0 0 19 42

N.S.

1 1.00 0.70 1.19 0.44 0.81 0.00 0.00 0.35 0.78

time (sec)

N/A 0.372 0.185 0.020 0.074 0.079 0.000 0.000 0.185 22.855

Problem 66

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

77 78 49 72 24 58 0 0 19 61

N.S.

1 1.01 0.64 0.94 0.31 0.75 0.00 0.00 0.25 0.79

time (sec)

N/A 0.461 0.164 0.023 0.077 0.076 0.000 0.000 0.180 22.817

Problem 67

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

100 102 61 84 24 74 0 0 19 80

N.S.

1 1.02 0.61 0.84 0.24 0.74 0.00 0.00 0.19 0.80

time (sec)

N/A 0.546 0.187 0.023 0.081 0.078 0.000 0.000 0.188 22.807

Problem 68

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

123 126 73 96 24 86 0 0 19 99

N.S.

1 1.02 0.59 0.78 0.20 0.70 0.00 0.00 0.15 0.80

time (sec)

N/A 0.631 0.205 0.023 0.071 0.075 0.000 0.000 0.190 22.869

Problem 69

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

208 240 72 0 0 230 0 1023 94 0

N.S.

1 1.15 0.35 0.00 0.00 1.11 0.00 4.92 0.45 0.00

time (sec)

N/A 1.010 0.243 0.000 0.000 0.080 0.000 0.198 0.178 0.000

Problem 70

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

173 195 72 0 0 167 0 643 68 0

N.S.

1 1.13 0.42 0.00 0.00 0.97 0.00 3.72 0.39 0.00

time (sec)

N/A 0.804 0.200 0.000 0.000 0.082 0.000 0.177 0.206 0.000

Problem 71

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

138 150 63 0 0 121 0 372 42 0

N.S.

1 1.09 0.46 0.00 0.00 0.88 0.00 2.70 0.30 0.00

time (sec)

N/A 0.633 0.240 0.000 0.000 0.080 0.000 0.147 0.182 0.000

Problem 72

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

105 105 63 0 0 90 0 189 21 0

N.S.

1 1.00 0.60 0.00 0.00 0.86 0.00 1.80 0.20 0.00

time (sec)

N/A 0.478 0.194 0.000 0.000 0.112 0.000 0.133 0.182 0.000

Problem 73

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

72 72 63 0 0 64 0 56 23 0

N.S.

1 1.00 0.88 0.00 0.00 0.89 0.00 0.78 0.32 0.00

time (sec)

N/A 0.363 0.155 0.000 0.000 0.074 0.000 0.119 0.180 0.000

Problem 74

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

97 97 75 0 0 90 0 0 35 0

N.S.

1 1.00 0.77 0.00 0.00 0.93 0.00 0.00 0.36 0.00

time (sec)

N/A 0.470 0.272 0.000 0.000 0.074 0.000 0.000 0.158 0.000

Problem 75

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

130 134 92 0 0 140 0 0 52 0

N.S.

1 1.03 0.71 0.00 0.00 1.08 0.00 0.00 0.40 0.00

time (sec)

N/A 0.587 0.453 0.000 0.000 0.106 0.000 0.000 0.199 0.000

Problem 76

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

165 171 118 0 0 230 0 0 69 0

N.S.

1 1.04 0.72 0.00 0.00 1.39 0.00 0.00 0.42 0.00

time (sec)

N/A 0.722 0.402 0.000 0.000 0.082 0.000 0.000 0.164 0.000

Problem 77

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

200 208 144 0 0 321 0 0 86 0

N.S.

1 1.04 0.72 0.00 0.00 1.60 0.00 0.00 0.43 0.00

time (sec)

N/A 0.861 0.532 0.000 0.000 0.078 0.000 0.000 0.173 0.000

Problem 78

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

151 187 24 78 79 82 138 80 95 89

N.S.

1 1.24 0.16 0.52 0.52 0.54 0.91 0.53 0.63 0.59

time (sec)

N/A 0.901 0.617 0.105 0.028 0.084 124.397 0.111 0.176 0.083

Problem 79

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

71 71 63 0 0 117 0 0 44 0

N.S.

1 1.00 0.89 0.00 0.00 1.65 0.00 0.00 0.62 0.00

time (sec)

N/A 0.345 0.284 0.000 0.000 0.081 0.000 0.000 0.176 0.000

Problem 80

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

98 98 78 0 0 133 0 0 47 0

N.S.

1 1.00 0.80 0.00 0.00 1.36 0.00 0.00 0.48 0.00

time (sec)

N/A 0.487 0.318 0.000 0.000 0.084 0.000 0.000 0.190 0.000

Problem 81

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

71 71 71 0 0 0 0 0 124 0

N.S.

1 1.00 1.00 0.00 0.00 0.00 0.00 0.00 1.75 0.00

time (sec)

N/A 0.382 0.061 0.000 0.000 0.000 0.000 0.000 0.171 0.000

Problem 82

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

71 71 71 0 0 0 0 0 102 0

N.S.

1 1.00 1.00 0.00 0.00 0.00 0.00 0.00 1.44 0.00

time (sec)

N/A 0.367 0.054 0.000 0.000 0.000 0.000 0.000 0.174 0.000

Problem 83

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

71 71 71 0 0 0 0 0 80 0

N.S.

1 1.00 1.00 0.00 0.00 0.00 0.00 0.00 1.13 0.00

time (sec)

N/A 0.365 0.054 0.000 0.000 0.000 0.000 0.000 0.175 0.000

Problem 84

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

67 67 67 0 0 65 0 0 58 0

N.S.

1 1.00 1.00 0.00 0.00 0.97 0.00 0.00 0.87 0.00

time (sec)

N/A 0.313 0.066 0.000 0.000 0.069 0.000 0.000 0.162 0.000

Problem 85

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

69 69 69 0 0 67 0 0 24 0

N.S.

1 1.00 1.00 0.00 0.00 0.97 0.00 0.00 0.35 0.00

time (sec)

N/A 0.320 0.054 0.000 0.000 0.093 0.000 0.000 0.180 0.000

Problem 86

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

73 73 73 0 0 0 0 0 35 0

N.S.

1 1.00 1.00 0.00 0.00 0.00 0.00 0.00 0.48 0.00

time (sec)

N/A 0.365 0.054 0.000 0.000 0.000 0.000 0.000 0.176 0.000

Problem 87

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

73 73 73 0 0 0 0 0 46 0

N.S.

1 1.00 1.00 0.00 0.00 0.00 0.00 0.00 0.63 0.00

time (sec)

N/A 0.371 0.055 0.000 0.000 0.000 0.000 0.000 0.164 0.000

Problem 88

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

67 67 67 0 0 65 0 0 58 0

N.S.

1 1.00 1.00 0.00 0.00 0.97 0.00 0.00 0.87 0.00

time (sec)

N/A 0.307 0.001 0.000 0.000 0.074 0.000 0.000 0.199 0.000

Problem 89

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

72 72 72 0 0 68 0 0 63 0

N.S.

1 1.00 1.00 0.00 0.00 0.94 0.00 0.00 0.88 0.00

time (sec)

N/A 0.368 0.050 0.000 0.000 0.080 0.000 0.000 0.170 0.000

Problem 90

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

48 48 34 38 60 38 60 898 38 38

N.S.

1 1.00 0.71 0.79 1.25 0.79 1.25 18.71 0.79 0.79

time (sec)

N/A 0.320 0.019 0.000 0.048 0.079 0.057 0.135 0.174 0.002

Problem 91

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

80 135 56 80 117 74 116 2068 80 80

N.S.

1 1.69 0.70 1.00 1.46 0.92 1.45 25.85 1.00 1.00

time (sec)

N/A 0.498 0.039 0.000 0.057 0.068 0.070 0.147 0.183 0.002

Problem 92

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

118 229 84 138 194 122 190 4188 138 138

N.S.

1 1.94 0.71 1.17 1.64 1.03 1.61 35.49 1.17 1.17

time (sec)

N/A 0.686 0.260 0.046 0.052 0.071 0.088 0.183 0.161 22.575

Problem 93

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

162 348 117 212 291 182 284 7630 212 212

N.S.

1 2.15 0.72 1.31 1.80 1.12 1.75 47.10 1.31 1.31

time (sec)

N/A 0.964 0.704 0.053 0.081 0.073 0.110 0.223 0.180 22.645

Problem 94

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

116 116 61 334 123 126 99 0 448 0

N.S.

1 1.00 0.53 2.88 1.06 1.09 0.85 0.00 3.86 0.00

time (sec)

N/A 0.600 0.131 0.588 0.158 0.074 9.028 0.000 0.172 0.000

Problem 95

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

227 397 121 178 196 121 236 202 182 175

N.S.

1 1.75 0.53 0.78 0.86 0.53 1.04 0.89 0.80 0.77

time (sec)

N/A 1.323 0.402 0.079 0.056 0.070 0.106 0.118 0.174 22.452

Problem 96

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

187 318 130 143 164 102 196 163 143 126

N.S.

1 1.70 0.70 0.76 0.88 0.55 1.05 0.87 0.76 0.67

time (sec)

N/A 1.103 0.339 0.054 0.052 0.069 0.094 0.112 0.174 22.563

Problem 97

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

137 184 96 102 132 78 148 123 104 117

N.S.

1 1.34 0.70 0.74 0.96 0.57 1.08 0.90 0.76 0.85

time (sec)

N/A 0.754 0.269 0.049 0.046 0.068 0.080 0.112 0.167 0.107

Problem 98

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

80 86 41 68 103 57 104 87 69 66

N.S.

1 1.08 0.51 0.85 1.29 0.71 1.30 1.09 0.86 0.82

time (sec)

N/A 0.517 0.255 0.037 0.044 0.114 0.077 0.124 0.180 22.535

Problem 99

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

102 102 52 96 69 50 70 95 51 69

N.S.

1 1.00 0.51 0.94 0.68 0.49 0.69 0.93 0.50 0.68

time (sec)

N/A 0.570 0.267 0.046 0.094 0.078 3.218 0.118 0.167 22.872

Problem 100

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

94 94 54 88 61 56 99 92 70 72

N.S.

1 1.00 0.57 0.94 0.65 0.60 1.05 0.98 0.74 0.77

time (sec)

N/A 0.568 0.287 0.055 0.093 0.070 1.372 0.135 0.163 22.661