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 B B B

verified

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

size

108 99 97 92 121 114 124 491 103 103

N.S.

1 0.92 0.90 0.85 1.12 1.06 1.15 4.55 0.95 0.95

time (sec)

N/A 0.307 0.042 0.232 0.026 0.085 0.419 0.124 0.171 3.429

Problem 2

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

96 89 87 84 110 102 112 394 92 92

N.S.

1 0.93 0.91 0.88 1.15 1.06 1.17 4.10 0.96 0.96

time (sec)

N/A 0.317 0.040 0.222 0.031 0.092 0.473 0.124 0.163 3.504

Problem 3

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

84 81 79 76 99 93 100 305 84 83

N.S.

1 0.96 0.94 0.90 1.18 1.11 1.19 3.63 1.00 0.99

time (sec)

N/A 0.289 0.033 0.162 0.031 0.081 0.327 0.120 0.160 3.453

Problem 4

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

44 46 95 59 85 77 75 211 64 65

N.S.

1 1.05 2.16 1.34 1.93 1.75 1.70 4.80 1.45 1.48

time (sec)

N/A 0.231 0.013 0.155 0.028 0.076 0.188 0.119 0.159 3.312

Problem 5

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

60 60 57 73 0 0 0 0 49 0

N.S.

1 1.00 0.95 1.22 0.00 0.00 0.00 0.00 0.82 0.00

time (sec)

N/A 0.264 0.023 0.173 0.000 0.000 0.000 0.000 0.168 0.000

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

70 70 71 87 0 0 0 0 66 0

N.S.

1 1.00 1.01 1.24 0.00 0.00 0.00 0.00 0.94 0.00

time (sec)

N/A 0.289 0.053 0.227 0.000 0.000 0.000 0.000 0.174 0.000

Problem 7

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

56 52 76 76 89 89 95 192 79 75

N.S.

1 0.93 1.36 1.36 1.59 1.59 1.70 3.43 1.41 1.34

time (sec)

N/A 0.262 0.050 0.214 0.025 0.090 0.374 0.124 0.174 3.455

Problem 8

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

98 87 86 86 99 101 117 306 87 110

N.S.

1 0.89 0.88 0.88 1.01 1.03 1.19 3.12 0.89 1.12

time (sec)

N/A 0.309 0.052 0.214 0.029 0.094 0.462 0.120 0.171 3.437

Problem 9

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

110 95 94 94 114 110 129 401 97 120

N.S.

1 0.86 0.85 0.85 1.04 1.00 1.17 3.65 0.88 1.09

time (sec)

N/A 0.322 0.052 0.218 0.026 0.089 0.632 0.122 0.172 3.462

Problem 10

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

157 131 125 124 210 162 196 620 136 146

N.S.

1 0.83 0.80 0.79 1.34 1.03 1.25 3.95 0.87 0.93

time (sec)

N/A 0.450 0.055 0.414 0.031 0.105 0.556 0.127 0.170 3.636

Problem 11

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

143 123 115 116 184 146 177 525 127 134

N.S.

1 0.86 0.80 0.81 1.29 1.02 1.24 3.67 0.89 0.94

time (sec)

N/A 0.416 0.050 0.287 0.034 0.086 0.450 0.135 0.167 3.465

Problem 12

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

129 113 107 108 179 137 167 425 117 122

N.S.

1 0.88 0.83 0.84 1.39 1.06 1.29 3.29 0.91 0.95

time (sec)

N/A 0.403 0.045 0.320 0.031 0.090 0.398 0.124 0.165 3.414

Problem 13

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

71 58 92 80 147 114 131 330 100 105

N.S.

1 0.82 1.30 1.13 2.07 1.61 1.85 4.65 1.41 1.48

time (sec)

N/A 0.246 0.051 0.179 0.030 0.084 0.329 0.122 0.169 3.380

Problem 14

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

114 114 103 103 173 0 0 0 82 0

N.S.

1 1.00 0.90 0.90 1.52 0.00 0.00 0.00 0.72 0.00

time (sec)

N/A 0.330 0.067 0.236 0.138 0.000 0.000 0.000 0.162 0.000

Problem 15

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

61 80 73 89 0 0 0 410 66 0

N.S.

1 1.31 1.20 1.46 0.00 0.00 0.00 6.72 1.08 0.00

time (sec)

N/A 0.331 0.067 0.290 0.000 0.000 0.000 0.970 0.168 0.000

Problem 16

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

137 137 143 123 0 0 0 0 111 0

N.S.

1 1.00 1.04 0.90 0.00 0.00 0.00 0.00 0.81 0.00

time (sec)

N/A 0.372 0.078 0.361 0.000 0.000 0.000 0.000 0.163 0.000

Problem 17

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

81 68 103 110 157 128 158 330 112 116

N.S.

1 0.84 1.27 1.36 1.94 1.58 1.95 4.07 1.38 1.43

time (sec)

N/A 0.293 0.067 0.296 0.034 0.096 0.477 0.119 0.165 3.348

Problem 18

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

147 122 114 118 178 147 189 431 120 168

N.S.

1 0.83 0.78 0.80 1.21 1.00 1.29 2.93 0.82 1.14

time (sec)

N/A 0.427 0.072 0.289 0.033 0.102 0.520 0.126 0.160 3.517

Problem 19

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

161 132 122 126 194 156 199 532 130 182

N.S.

1 0.82 0.76 0.78 1.20 0.97 1.24 3.30 0.81 1.13

time (sec)

N/A 0.461 0.071 0.301 0.031 0.102 0.637 0.130 0.158 3.501

Problem 20

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

192 158 151 152 285 190 243 722 167 177

N.S.

1 0.82 0.79 0.79 1.48 0.99 1.27 3.76 0.87 0.92

time (sec)

N/A 0.476 0.067 0.589 0.032 0.099 0.568 0.131 0.168 3.805

Problem 21

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

178 150 142 144 265 178 235 621 158 165

N.S.

1 0.84 0.80 0.81 1.49 1.00 1.32 3.49 0.89 0.93

time (sec)

N/A 0.547 0.062 0.510 0.031 0.103 0.488 0.138 0.160 4.098

Problem 22

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

135 112 133 134 244 165 211 527 148 153

N.S.

1 0.83 0.99 0.99 1.81 1.22 1.56 3.90 1.10 1.13

time (sec)

N/A 0.529 0.052 0.410 0.033 0.092 0.612 0.127 0.166 3.950

Problem 23

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

84 76 115 101 219 149 182 425 131 136

N.S.

1 0.90 1.37 1.20 2.61 1.77 2.17 5.06 1.56 1.62

time (sec)

N/A 0.447 0.059 0.266 0.031 0.083 0.336 0.130 0.162 3.698

Problem 24

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

152 152 148 131 228 0 0 0 115 0

N.S.

1 1.00 0.97 0.86 1.50 0.00 0.00 0.00 0.76 0.00

time (sec)

N/A 0.488 0.079 0.306 0.140 0.000 0.000 0.000 0.173 0.000

Problem 25

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

150 150 149 131 229 0 0 0 122 0

N.S.

1 1.00 0.99 0.87 1.53 0.00 0.00 0.00 0.81 0.00

time (sec)

N/A 0.648 0.086 0.416 0.133 0.000 0.000 0.000 0.173 0.000

Problem 26

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

160 160 165 137 0 0 0 0 133 0

N.S.

1 1.00 1.03 0.86 0.00 0.00 0.00 0.00 0.83 0.00

time (sec)

N/A 0.604 0.086 0.495 0.000 0.000 0.000 0.000 0.174 0.000

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

176 176 175 151 0 0 0 0 142 0

N.S.

1 1.00 0.99 0.86 0.00 0.00 0.00 0.00 0.81 0.00

time (sec)

N/A 0.520 0.091 0.531 0.000 0.000 0.000 0.000 0.175 0.000

Problem 28

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

93 76 131 138 228 163 207 431 143 147

N.S.

1 0.82 1.41 1.48 2.45 1.75 2.23 4.63 1.54 1.58

time (sec)

N/A 0.307 0.080 0.391 0.035 0.096 0.540 0.129 0.170 3.671

Problem 29

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

137 108 140 146 250 175 233 533 151 233

N.S.

1 0.79 1.02 1.07 1.82 1.28 1.70 3.89 1.10 1.70

time (sec)

N/A 0.345 0.076 0.407 0.033 0.093 0.686 0.118 0.158 3.721

Problem 30

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

196 161 149 154 273 188 257 634 161 220

N.S.

1 0.82 0.76 0.79 1.39 0.96 1.31 3.23 0.82 1.12

time (sec)

N/A 0.474 0.081 0.410 0.036 0.094 0.987 0.129 0.165 3.657

Problem 31

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

224 186 177 178 373 222 294 817 198 337

N.S.

1 0.83 0.79 0.79 1.67 0.99 1.31 3.65 0.88 1.50

time (sec)

N/A 0.510 0.071 0.842 0.037 0.094 0.720 0.129 0.164 4.336

Problem 32

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

171 147 168 170 339 208 279 723 189 196

N.S.

1 0.86 0.98 0.99 1.98 1.22 1.63 4.23 1.11 1.15

time (sec)

N/A 0.413 0.069 0.722 0.038 0.096 0.738 0.134 0.162 3.578

Problem 33

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

153 126 159 164 326 198 269 621 180 185

N.S.

1 0.82 1.04 1.07 2.13 1.29 1.76 4.06 1.18 1.21

time (sec)

N/A 0.344 0.062 0.639 0.034 0.092 0.535 0.130 0.161 3.496

Problem 34

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

107 90 146 121 283 177 226 526 163 168

N.S.

1 0.84 1.36 1.13 2.64 1.65 2.11 4.92 1.52 1.57

time (sec)

N/A 0.272 0.064 0.388 0.036 0.089 0.399 0.120 0.159 3.495

Problem 35

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

185 185 179 159 276 0 0 0 146 0

N.S.

1 1.00 0.97 0.86 1.49 0.00 0.00 0.00 0.79 0.00

time (sec)

N/A 0.437 0.101 0.426 0.132 0.000 0.000 0.000 0.166 0.000

Problem 36

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

178 178 194 159 281 0 0 0 155 0

N.S.

1 1.00 1.09 0.89 1.58 0.00 0.00 0.00 0.87 0.00

time (sec)

N/A 0.440 0.102 0.576 0.133 0.000 0.000 0.000 0.160 0.000

Problem 37

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

156 156 143 147 293 0 0 0 129 0

N.S.

1 1.00 0.92 0.94 1.88 0.00 0.00 0.00 0.83 0.00

time (sec)

N/A 0.424 0.098 0.717 0.130 0.000 0.000 0.000 0.158 0.000

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

189 189 197 165 0 0 0 0 164 0

N.S.

1 1.00 1.04 0.87 0.00 0.00 0.00 0.00 0.87 0.00

time (sec)

N/A 0.468 0.105 0.780 0.000 0.000 0.000 0.000 0.177 0.000

Problem 39

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

209 209 206 179 0 0 0 0 173 0

N.S.

1 1.00 0.99 0.86 0.00 0.00 0.00 0.00 0.83 0.00

time (sec)

N/A 0.487 0.108 0.797 0.000 0.000 0.000 0.000 0.163 0.000

Problem 40

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

109 88 157 166 299 191 253 532 174 179

N.S.

1 0.81 1.44 1.52 2.74 1.75 2.32 4.88 1.60 1.64

time (sec)

N/A 0.313 0.095 0.567 0.033 0.102 0.654 0.134 0.169 4.242

Problem 41

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

151 118 166 174 329 208 291 634 183 248

N.S.

1 0.78 1.10 1.15 2.18 1.38 1.93 4.20 1.21 1.64

time (sec)

N/A 0.348 0.095 0.572 0.034 0.092 0.696 0.133 0.160 4.102

Problem 42

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

229 192 175 182 353 218 301 735 192 260

N.S.

1 0.84 0.76 0.79 1.54 0.95 1.31 3.21 0.84 1.14

time (sec)

N/A 0.540 0.101 0.585 0.032 0.100 0.870 0.137 0.165 4.104

Problem 43

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

177 195 129 162 0 0 0 0 64 0

N.S.

1 1.10 0.73 0.92 0.00 0.00 0.00 0.00 0.36 0.00

time (sec)

N/A 1.853 0.357 0.315 0.000 0.000 0.000 0.000 0.171 0.000

Problem 44

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

145 138 97 132 0 0 0 0 54 0

N.S.

1 0.95 0.67 0.91 0.00 0.00 0.00 0.00 0.37 0.00

time (sec)

N/A 1.219 0.237 0.238 0.000 0.000 0.000 0.000 0.201 0.000

Problem 45

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

94 91 75 106 0 0 0 0 41 0

N.S.

1 0.97 0.80 1.13 0.00 0.00 0.00 0.00 0.44 0.00

time (sec)

N/A 0.514 0.170 0.194 0.000 0.000 0.000 0.000 0.187 0.000

Problem 46

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 51 52 78 0 0 0 0 33 0

N.S.

1 1.00 1.02 1.53 0.00 0.00 0.00 0.00 0.65 0.00

time (sec)

N/A 0.314 0.144 0.161 0.000 0.000 0.000 0.000 0.182 0.000

Problem 47

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

46 46 55 115 0 0 0 0 52 0

N.S.

1 1.00 1.20 2.50 0.00 0.00 0.00 0.00 1.13 0.00

time (sec)

N/A 0.291 0.165 0.227 0.000 0.000 0.000 0.000 0.174 0.000

Problem 48

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

93 89 93 156 0 0 0 0 49 0

N.S.

1 0.96 1.00 1.68 0.00 0.00 0.00 0.00 0.53 0.00

time (sec)

N/A 0.566 0.206 0.259 0.000 0.000 0.000 0.000 0.181 0.000

Problem 49

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

146 126 133 188 0 0 0 0 67 0

N.S.

1 0.86 0.91 1.29 0.00 0.00 0.00 0.00 0.46 0.00

time (sec)

N/A 0.855 0.298 0.335 0.000 0.000 0.000 0.000 0.170 0.000

Problem 50

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

185 181 172 218 0 0 0 0 182 0

N.S.

1 0.98 0.93 1.18 0.00 0.00 0.00 0.00 0.98 0.00

time (sec)

N/A 1.275 0.362 0.376 0.000 0.000 0.000 0.000 0.165 0.000

Problem 51

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

181 181 142 163 0 0 0 0 121 0

N.S.

1 1.00 0.78 0.90 0.00 0.00 0.00 0.00 0.67 0.00

time (sec)

N/A 0.465 0.540 0.349 0.000 0.000 0.000 0.000 0.165 0.000

Problem 52

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

149 149 121 137 0 0 0 0 109 0

N.S.

1 1.00 0.81 0.92 0.00 0.00 0.00 0.00 0.73 0.00

time (sec)

N/A 0.427 0.438 0.289 0.000 0.000 0.000 0.000 0.164 0.000

Problem 53

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

106 106 99 123 0 0 0 0 95 0

N.S.

1 1.00 0.93 1.16 0.00 0.00 0.00 0.00 0.90 0.00

time (sec)

N/A 0.368 0.306 0.280 0.000 0.000 0.000 0.000 0.167 0.000

Problem 54

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

57 55 64 41 96 49 95 63 73 45

N.S.

1 0.96 1.12 0.72 1.68 0.86 1.67 1.11 1.28 0.79

time (sec)

N/A 0.249 0.091 0.211 0.030 0.082 0.576 0.123 0.160 3.882

Problem 55

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

124 124 101 159 0 0 0 0 196 0

N.S.

1 1.00 0.81 1.28 0.00 0.00 0.00 0.00 1.58 0.00

time (sec)

N/A 0.417 0.315 0.304 0.000 0.000 0.000 0.000 0.176 0.000

Problem 56

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

171 171 140 184 0 0 0 0 243 0

N.S.

1 1.00 0.82 1.08 0.00 0.00 0.00 0.00 1.42 0.00

time (sec)

N/A 0.558 0.574 0.364 0.000 0.000 0.000 0.000 0.176 0.000

Problem 57

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

212 212 189 218 0 0 0 0 321 0

N.S.

1 1.00 0.89 1.03 0.00 0.00 0.00 0.00 1.51 0.00

time (sec)

N/A 0.835 0.755 0.493 0.000 0.000 0.000 0.000 0.161 0.000

Problem 58

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

227 227 189 197 0 0 0 0 209 0

N.S.

1 1.00 0.83 0.87 0.00 0.00 0.00 0.00 0.92 0.00

time (sec)

N/A 0.843 0.585 0.509 0.000 0.000 0.000 0.000 0.160 0.000

Problem 59

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

194 194 167 170 0 0 0 0 201 0

N.S.

1 1.00 0.86 0.88 0.00 0.00 0.00 0.00 1.04 0.00

time (sec)

N/A 0.751 0.518 0.416 0.000 0.000 0.000 0.000 0.166 0.000

Problem 60

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

150 150 145 157 0 0 0 0 190 0

N.S.

1 1.00 0.97 1.05 0.00 0.00 0.00 0.00 1.27 0.00

time (sec)

N/A 0.490 0.393 0.414 0.000 0.000 0.000 0.000 0.173 0.000

Problem 61

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

77 75 99 68 152 84 277 114 126 81

N.S.

1 0.97 1.29 0.88 1.97 1.09 3.60 1.48 1.64 1.05

time (sec)

N/A 0.339 0.086 0.342 0.037 0.082 0.835 0.118 0.169 4.401

Problem 62

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

77 74 86 72 134 75 224 118 130 123

N.S.

1 0.96 1.12 0.94 1.74 0.97 2.91 1.53 1.69 1.60

time (sec)

N/A 0.266 0.088 0.306 0.036 0.083 0.813 0.117 0.164 4.103

Problem 63

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

161 161 147 190 0 0 0 0 343 0

N.S.

1 1.00 0.91 1.18 0.00 0.00 0.00 0.00 2.13 0.00

time (sec)

N/A 0.465 0.382 0.415 0.000 0.000 0.000 0.000 0.186 0.000

Problem 64

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

218 218 186 222 0 0 0 0 434 0

N.S.

1 1.00 0.85 1.02 0.00 0.00 0.00 0.00 1.99 0.00

time (sec)

N/A 0.545 0.801 0.490 0.000 0.000 0.000 0.000 0.166 0.000

Problem 65

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

268 268 220 256 0 0 0 0 458 0

N.S.

1 1.00 0.82 0.96 0.00 0.00 0.00 0.00 1.71 0.00

time (sec)

N/A 0.603 0.987 0.721 0.000 0.000 0.000 0.000 0.170 0.000

Problem 66

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

80 82 75 75 132 91 294 161 156 139

N.S.

1 1.02 0.94 0.94 1.65 1.14 3.68 2.01 1.95 1.74

time (sec)

N/A 0.272 0.099 0.356 0.037 0.090 1.192 0.124 0.176 3.865

Problem 67

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

41 41 39 88 120 0 0 0 36 0

N.S.

1 1.00 0.95 2.15 2.93 0.00 0.00 0.00 0.88 0.00

time (sec)

N/A 0.299 0.140 0.231 0.032 0.000 0.000 0.000 0.167 0.000

Problem 68

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

270 270 271 306 0 0 0 0 296 0

N.S.

1 1.00 1.00 1.13 0.00 0.00 0.00 0.00 1.10 0.00

time (sec)

N/A 0.913 0.472 0.533 0.000 0.000 0.000 0.000 0.174 0.000

Problem 69

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

236 236 234 278 402 0 0 0 259 0

N.S.

1 1.00 0.99 1.18 1.70 0.00 0.00 0.00 1.10 0.00

time (sec)

N/A 1.098 0.343 0.456 0.279 0.000 0.000 0.000 0.167 0.000

Problem 70

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

196 196 201 249 0 0 0 0 224 0

N.S.

1 1.00 1.03 1.27 0.00 0.00 0.00 0.00 1.14 0.00

time (sec)

N/A 0.985 0.389 0.397 0.000 0.000 0.000 0.000 0.181 0.000

Problem 71

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

112 122 156 211 290 0 0 0 178 0

N.S.

1 1.09 1.39 1.88 2.59 0.00 0.00 0.00 1.59 0.00

time (sec)

N/A 0.554 0.274 0.330 0.200 0.000 0.000 0.000 0.185 0.000

Problem 72

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

191 191 228 1827 0 0 0 0 90 0

N.S.

1 1.00 1.19 9.57 0.00 0.00 0.00 0.00 0.47 0.00

time (sec)

N/A 0.788 0.312 2.622 0.000 0.000 0.000 0.000 0.180 0.000

Problem 73

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

201 201 249 1857 0 0 0 0 133 0

N.S.

1 1.00 1.24 9.24 0.00 0.00 0.00 0.00 0.66 0.00

time (sec)

N/A 0.739 0.333 2.806 0.000 0.000 0.000 0.000 0.190 0.000

Problem 74

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

151 151 206 276 0 0 0 0 235 0

N.S.

1 1.00 1.36 1.83 0.00 0.00 0.00 0.00 1.56 0.00

time (sec)

N/A 0.598 0.205 0.625 0.000 0.000 0.000 0.000 0.188 0.000

Problem 75

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

206 206 246 308 417 0 0 0 235 0

N.S.

1 1.00 1.19 1.50 2.02 0.00 0.00 0.00 1.14 0.00

time (sec)

N/A 0.747 0.315 0.625 0.470 0.000 0.000 0.000 0.173 0.000

Problem 76

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

356 356 329 374 766 0 0 1135 376 0

N.S.

1 1.00 0.92 1.05 2.15 0.00 0.00 3.19 1.06 0.00

time (sec)

N/A 1.265 0.650 0.750 0.299 0.000 0.000 2.251 0.173 0.000

Problem 77

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

312 312 297 345 604 0 0 0 339 0

N.S.

1 1.00 0.95 1.11 1.94 0.00 0.00 0.00 1.09 0.00

time (sec)

N/A 1.393 0.641 0.674 0.291 0.000 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 B F F B F F(-1)

verified

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

size

280 280 263 318 610 0 0 761 303 0

N.S.

1 1.00 0.94 1.14 2.18 0.00 0.00 2.72 1.08 0.00

time (sec)

N/A 1.232 0.708 0.598 0.285 0.000 0.000 1.452 0.182 0.000

Problem 79

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

175 170 227 223 464 0 0 0 251 0

N.S.

1 0.97 1.30 1.27 2.65 0.00 0.00 0.00 1.43 0.00

time (sec)

N/A 0.651 0.608 0.469 0.207 0.000 0.000 0.000 0.177 0.000

Problem 80

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

278 278 324 895 0 0 0 0 189 0

N.S.

1 1.00 1.17 3.22 0.00 0.00 0.00 0.00 0.68 0.00

time (sec)

N/A 0.995 0.433 2.454 0.000 0.000 0.000 0.000 0.177 0.000

Problem 81

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

283 283 341 2519 0 0 0 0 151 0

N.S.

1 1.00 1.20 8.90 0.00 0.00 0.00 0.00 0.53 0.00

time (sec)

N/A 0.933 0.351 2.183 0.000 0.000 0.000 0.000 0.181 0.000

Problem 82

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

313 313 370 952 0 0 0 0 278 0

N.S.

1 1.00 1.18 3.04 0.00 0.00 0.00 0.00 0.89 0.00

time (sec)

N/A 0.981 0.573 4.342 0.000 0.000 0.000 0.000 0.188 0.000

Problem 83

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

244 227 270 350 555 0 0 0 301 0

N.S.

1 0.93 1.11 1.43 2.27 0.00 0.00 0.00 1.23 0.00

time (sec)

N/A 0.528 0.424 0.812 0.477 0.000 0.000 0.000 0.187 0.000

Problem 84

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

415 415 385 436 928 0 0 0 454 0

N.S.

1 1.00 0.93 1.05 2.24 0.00 0.00 0.00 1.09 0.00

time (sec)

N/A 2.045 1.051 1.032 0.313 0.000 0.000 0.000 0.176 0.000

Problem 85

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

377 377 356 408 775 0 0 0 418 0

N.S.

1 1.00 0.94 1.08 2.06 0.00 0.00 0.00 1.11 0.00

time (sec)

N/A 2.086 0.802 0.917 0.298 0.000 0.000 0.000 0.175 0.000

Problem 86

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

286 286 325 377 780 0 0 0 382 0

N.S.

1 1.00 1.14 1.32 2.73 0.00 0.00 0.00 1.34 0.00

time (sec)

N/A 0.971 1.701 0.893 0.291 0.000 0.000 0.000 0.178 0.000

Problem 87

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

206 197 293 276 627 0 0 0 333 0

N.S.

1 0.96 1.42 1.34 3.04 0.00 0.00 0.00 1.62 0.00

time (sec)

N/A 0.474 1.497 0.654 0.210 0.000 0.000 0.000 0.171 0.000

Problem 88

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

355 355 448 959 0 0 0 0 278 0

N.S.

1 1.00 1.26 2.70 0.00 0.00 0.00 0.00 0.78 0.00

time (sec)

N/A 1.140 0.540 3.385 0.000 0.000 0.000 0.000 0.176 0.000

Problem 89

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

361 361 479 1012 0 0 0 0 286 0

N.S.

1 1.00 1.33 2.80 0.00 0.00 0.00 0.00 0.79 0.00

time (sec)

N/A 1.112 0.437 4.543 0.000 0.000 0.000 0.000 0.173 0.000

Problem 90

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

385 385 461 1086 0 0 0 0 322 0

N.S.

1 1.00 1.20 2.82 0.00 0.00 0.00 0.00 0.84 0.00

time (sec)

N/A 1.100 0.739 4.485 0.000 0.000 0.000 0.000 0.183 0.000

Problem 91

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

396 396 569 1197 0 0 0 0 357 0

N.S.

1 1.00 1.44 3.02 0.00 0.00 0.00 0.00 0.90 0.00

time (sec)

N/A 1.796 0.465 5.590 0.000 0.000 0.000 0.000 0.175 0.000

Problem 92

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

271 256 343 412 813 0 0 0 379 0

N.S.

1 0.94 1.27 1.52 3.00 0.00 0.00 0.00 1.40 0.00

time (sec)

N/A 0.780 0.550 1.103 0.485 0.000 0.000 0.000 0.168 0.000

Problem 93

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

352 330 372 440 783 0 0 0 415 0

N.S.

1 0.94 1.06 1.25 2.22 0.00 0.00 0.00 1.18 0.00

time (sec)

N/A 0.945 0.755 1.135 0.499 0.000 0.000 0.000 0.170 0.000

Problem 94

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

479 449 402 468 961 0 0 0 451 0

N.S.

1 0.94 0.84 0.98 2.01 0.00 0.00 0.00 0.94 0.00

time (sec)

N/A 0.969 0.911 1.165 0.506 0.000 0.000 0.000 0.165 0.000

Problem 95

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

329 423 347 967 0 0 0 0 100 0

N.S.

1 1.29 1.05 2.94 0.00 0.00 0.00 0.00 0.30 0.00

time (sec)

N/A 5.103 0.684 5.903 0.000 0.000 0.000 0.000 0.172 0.000

Problem 96

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

247 271 260 905 0 0 0 0 88 0

N.S.

1 1.10 1.05 3.66 0.00 0.00 0.00 0.00 0.36 0.00

time (sec)

N/A 3.587 0.470 3.576 0.000 0.000 0.000 0.000 0.177 0.000

Problem 97

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

172 183 140 2602 0 0 0 0 71 0

N.S.

1 1.06 0.81 15.13 0.00 0.00 0.00 0.00 0.41 0.00

time (sec)

N/A 1.751 0.546 1.826 0.000 0.000 0.000 0.000 0.164 0.000

Problem 98

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

84 85 102 287 0 0 0 0 58 0

N.S.

1 1.01 1.21 3.42 0.00 0.00 0.00 0.00 0.69 0.00

time (sec)

N/A 0.621 0.454 0.487 0.000 0.000 0.000 0.000 0.164 0.000

Problem 99

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

77 84 132 1148 0 0 0 0 96 0

N.S.

1 1.09 1.71 14.91 0.00 0.00 0.00 0.00 1.25 0.00

time (sec)

N/A 0.621 0.691 1.006 0.000 0.000 0.000 0.000 0.160 0.000

Problem 100

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

162 166 225 4135 0 0 0 0 82 0

N.S.

1 1.02 1.39 25.52 0.00 0.00 0.00 0.00 0.51 0.00

time (sec)

N/A 1.694 0.580 2.601 0.000 0.000 0.000 0.000 0.165 0.000