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 B A B A B F(-1)

verified

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

size

183 195 170 170 336 170 471 183 294 0

N.S.

1 1.07 0.93 0.93 1.84 0.93 2.57 1.00 1.61 0.00

time (sec)

N/A 0.490 1.011 0.513 0.118 0.094 0.609 0.136 0.219 0.000

Problem 2

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

147 160 157 147 193 148 333 158 244 0

N.S.

1 1.09 1.07 1.00 1.31 1.01 2.27 1.07 1.66 0.00

time (sec)

N/A 0.435 0.603 0.406 0.111 0.085 0.581 0.138 0.213 0.000

Problem 3

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

132 124 126 122 138 121 226 123 194 0

N.S.

1 0.94 0.95 0.92 1.05 0.92 1.71 0.93 1.47 0.00

time (sec)

N/A 0.344 0.721 0.299 0.113 0.083 0.617 0.144 0.211 0.000

Problem 4

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

78 79 94 74 55 79 119 58 87 77

N.S.

1 1.01 1.21 0.95 0.71 1.01 1.53 0.74 1.12 0.99

time (sec)

N/A 0.299 0.248 0.285 0.114 0.078 0.388 0.132 0.208 9.496

Problem 5

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

99 91 82 76 91 74 0 71 93 0

N.S.

1 0.92 0.83 0.77 0.92 0.75 0.00 0.72 0.94 0.00

time (sec)

N/A 0.352 0.428 0.372 0.114 0.078 0.000 0.139 0.226 0.000

Problem 6

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

91 101 93 111 106 123 0 163 204 0

N.S.

1 1.11 1.02 1.22 1.16 1.35 0.00 1.79 2.24 0.00

time (sec)

N/A 0.376 0.474 0.405 0.114 0.092 0.000 0.140 0.220 0.000

Problem 7

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

107 101 92 185 0 168 0 170 193 0

N.S.

1 0.94 0.86 1.73 0.00 1.57 0.00 1.59 1.80 0.00

time (sec)

N/A 0.363 0.685 0.416 0.000 0.120 0.000 0.138 0.234 0.000

Problem 8

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

83 83 59 59 334 175 0 275 98 263

N.S.

1 1.00 0.71 0.71 4.02 2.11 0.00 3.31 1.18 3.17

time (sec)

N/A 0.343 0.599 0.442 0.041 0.085 0.000 0.134 0.238 10.251

Problem 9

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

126 128 82 85 526 240 0 388 29 589

N.S.

1 1.02 0.65 0.67 4.17 1.90 0.00 3.08 0.23 4.67

time (sec)

N/A 0.394 0.760 0.477 0.045 0.094 0.000 0.143 200.085 10.570

Problem 10

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

165 168 106 109 751 297 0 536 475 847

N.S.

1 1.02 0.64 0.66 4.55 1.80 0.00 3.25 2.88 5.13

time (sec)

N/A 0.443 0.849 0.523 0.049 0.125 0.000 0.134 0.233 10.684

Problem 11

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

210 210 129 133 1009 359 0 666 584 1141

N.S.

1 1.00 0.61 0.63 4.80 1.71 0.00 3.17 2.78 5.43

time (sec)

N/A 0.505 1.260 0.567 0.055 0.218 0.000 0.138 0.252 10.866

Problem 12

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

223 225 215 219 417 219 685 241 394 0

N.S.

1 1.01 0.96 0.98 1.87 0.98 3.07 1.08 1.77 0.00

time (sec)

N/A 0.525 1.307 0.474 0.118 0.084 0.966 0.149 0.223 0.000

Problem 13

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

183 189 201 195 248 193 534 211 344 0

N.S.

1 1.03 1.10 1.07 1.36 1.05 2.92 1.15 1.88 0.00

time (sec)

N/A 0.474 0.752 0.405 0.114 0.084 0.902 0.146 0.219 0.000

Problem 14

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

167 153 170 170 183 166 396 178 294 0

N.S.

1 0.92 1.02 1.02 1.10 0.99 2.37 1.07 1.76 0.00

time (sec)

N/A 0.391 0.939 0.308 0.111 0.081 0.911 0.145 0.207 0.000

Problem 15

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

103 108 107 97 76 102 151 85 137 68

N.S.

1 1.05 1.04 0.94 0.74 0.99 1.47 0.83 1.33 0.66

time (sec)

N/A 0.322 0.446 0.295 0.110 0.095 0.469 0.142 0.206 10.290

Problem 16

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

134 125 126 123 251 122 296 125 194 0

N.S.

1 0.93 0.94 0.92 1.87 0.91 2.21 0.93 1.45 0.00

time (sec)

N/A 0.384 0.671 0.378 0.128 0.097 2.046 0.136 0.229 0.000

Problem 17

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

133 135 112 99 230 101 0 278 144 0

N.S.

1 1.02 0.84 0.74 1.73 0.76 0.00 2.09 1.08 0.00

time (sec)

N/A 0.420 0.493 0.403 0.122 0.085 0.000 0.149 0.265 0.000

Problem 18

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

119 137 109 153 224 158 0 127 290 0

N.S.

1 1.15 0.92 1.29 1.88 1.33 0.00 1.07 2.44 0.00

time (sec)

N/A 0.438 0.587 0.429 0.121 0.088 0.000 0.143 0.254 0.000

Problem 19

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

132 138 116 215 313 206 0 194 382 0

N.S.

1 1.05 0.88 1.63 2.37 1.56 0.00 1.47 2.89 0.00

time (sec)

N/A 0.422 0.661 0.460 0.129 0.094 0.000 0.141 0.287 0.000

Problem 20

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

127 130 105 346 471 242 0 0 436 0

N.S.

1 1.02 0.83 2.72 3.71 1.91 0.00 0.00 3.43 0.00

time (sec)

N/A 0.444 0.835 0.478 0.121 0.099 0.000 0.000 0.274 0.000

Problem 21

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

83 83 61 59 672 232 0 405 29 397

N.S.

1 1.00 0.73 0.71 8.10 2.80 0.00 4.88 0.35 4.78

time (sec)

N/A 0.342 0.756 0.531 0.050 0.097 0.000 0.144 200.093 10.269

Problem 22

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

126 128 84 85 919 299 0 536 452 633

N.S.

1 1.02 0.67 0.67 7.29 2.37 0.00 4.25 3.59 5.02

time (sec)

N/A 0.405 0.945 0.625 0.057 0.126 0.000 0.150 0.310 11.082

Problem 23

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

168 169 109 109 1199 359 0 666 584 912

N.S.

1 1.01 0.65 0.65 7.14 2.14 0.00 3.96 3.48 5.43

time (sec)

N/A 0.454 1.075 0.645 0.063 0.217 0.000 0.151 0.224 11.440

Problem 24

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

210 210 131 133 1512 418 0 796 693 1237

N.S.

1 1.00 0.62 0.63 7.20 1.99 0.00 3.79 3.30 5.89

time (sec)

N/A 0.515 1.572 0.737 0.068 0.288 0.000 0.151 0.225 11.972

Problem 25

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

259 254 260 267 498 268 926 296 494 0

N.S.

1 0.98 1.00 1.03 1.92 1.03 3.58 1.14 1.91 0.00

time (sec)

N/A 0.566 1.584 0.510 0.125 0.087 0.799 0.151 0.240 0.000

Problem 26

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

219 218 246 243 303 244 762 268 444 0

N.S.

1 1.00 1.12 1.11 1.38 1.11 3.48 1.22 2.03 0.00

time (sec)

N/A 0.493 0.893 0.425 0.122 0.091 0.742 0.149 0.216 0.000

Problem 27

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

202 182 214 218 228 214 632 232 394 0

N.S.

1 0.90 1.06 1.08 1.13 1.06 3.13 1.15 1.95 0.00

time (sec)

N/A 0.429 1.188 0.322 0.119 0.095 0.761 0.146 0.230 0.000

Problem 28

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

128 137 119 120 97 127 182 111 187 68

N.S.

1 1.07 0.93 0.94 0.76 0.99 1.42 0.87 1.46 0.53

time (sec)

N/A 0.366 0.558 0.292 0.112 0.091 0.503 0.146 0.211 9.148

Problem 29

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

169 154 170 171 297 168 672 181 294 0

N.S.

1 0.91 1.01 1.01 1.76 0.99 3.98 1.07 1.74 0.00

time (sec)

N/A 0.426 0.918 0.382 0.137 0.086 2.392 0.151 0.212 0.000

Problem 30

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

171 168 157 147 297 148 481 409 244 0

N.S.

1 0.98 0.92 0.86 1.74 0.87 2.81 2.39 1.43 0.00

time (sec)

N/A 0.465 0.613 0.405 0.132 0.090 3.020 0.187 0.219 0.000

Problem 31

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

156 170 127 123 350 124 0 129 194 0

N.S.

1 1.09 0.81 0.79 2.24 0.79 0.00 0.83 1.24 0.00

time (sec)

N/A 0.481 0.725 0.431 0.119 0.084 0.000 0.161 0.223 0.000

Problem 32

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

170 164 143 176 379 185 0 154 370 0

N.S.

1 0.96 0.84 1.04 2.23 1.09 0.00 0.91 2.18 0.00

time (sec)

N/A 0.471 0.682 0.486 0.134 0.087 0.000 0.155 0.258 0.000

Problem 33

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

161 167 133 258 503 242 0 344 491 0

N.S.

1 1.04 0.83 1.60 3.12 1.50 0.00 2.14 3.05 0.00

time (sec)

N/A 0.604 0.796 0.556 0.134 0.085 0.000 0.185 0.254 0.000

Problem 34

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

169 173 141 372 718 288 0 354 727 0

N.S.

1 1.02 0.83 2.20 4.25 1.70 0.00 2.09 4.30 0.00

time (sec)

N/A 0.481 0.860 0.660 0.137 0.114 0.000 0.164 0.352 0.000

Problem 35

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

159 161 117 506 934 312 0 367 29 0

N.S.

1 1.01 0.74 3.18 5.87 1.96 0.00 2.31 0.18 0.00

time (sec)

N/A 0.459 1.072 0.790 0.142 0.101 0.000 0.166 200.045 0.000

Problem 36

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

83 83 61 59 1137 289 0 535 471 551

N.S.

1 1.00 0.73 0.71 13.70 3.48 0.00 6.45 5.67 6.64

time (sec)

N/A 0.346 0.949 1.040 0.063 0.146 0.000 0.162 0.285 11.035

Problem 37

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

126 128 84 85 1439 358 0 666 574 808

N.S.

1 1.02 0.67 0.67 11.42 2.84 0.00 5.29 4.56 6.41

time (sec)

N/A 0.398 1.273 1.464 0.067 0.190 0.000 0.165 0.232 11.637

Problem 38

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

168 169 109 109 1774 418 0 796 693 1112

N.S.

1 1.01 0.65 0.65 10.56 2.49 0.00 4.74 4.12 6.62

time (sec)

N/A 0.452 1.269 1.949 0.078 0.294 0.000 0.170 0.222 12.813

Problem 39

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

210 210 131 133 2142 476 0 926 802 1457

N.S.

1 1.00 0.62 0.63 10.20 2.27 0.00 4.41 3.82 6.94

time (sec)

N/A 0.506 2.122 2.728 0.080 0.634 0.000 0.153 0.244 13.905

Problem 40

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

150 165 128 123 254 123 287 128 194 0

N.S.

1 1.10 0.85 0.82 1.69 0.82 1.91 0.85 1.29 0.00

time (sec)

N/A 0.461 0.770 0.480 0.119 0.084 0.607 0.150 0.215 0.000

Problem 41

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

110 129 104 99 137 99 202 97 144 0

N.S.

1 1.17 0.95 0.90 1.25 0.90 1.84 0.88 1.31 0.00

time (sec)

N/A 0.397 0.638 0.415 0.109 0.089 0.588 0.153 0.215 0.000

Problem 42

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

74 90 81 75 92 74 136 70 93 166

N.S.

1 1.22 1.09 1.01 1.24 1.00 1.84 0.95 1.26 2.24

time (sec)

N/A 0.331 0.473 0.311 0.109 0.080 0.604 0.157 0.220 10.273

Problem 43

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

48 48 61 51 33 53 97 38 31 55

N.S.

1 1.00 1.27 1.06 0.69 1.10 2.02 0.79 0.65 1.15

time (sec)

N/A 0.271 0.244 0.286 0.110 0.085 0.361 0.146 0.201 9.595

Problem 44

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

64 64 77 87 73 104 0 73 80 0

N.S.

1 1.00 1.20 1.36 1.14 1.62 0.00 1.14 1.25 0.00

time (sec)

N/A 0.304 0.446 0.372 0.115 0.082 0.000 0.140 0.213 0.000

Problem 45

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

83 83 53 53 190 117 0 145 88 52

N.S.

1 1.00 0.64 0.64 2.29 1.41 0.00 1.75 1.06 0.63

time (sec)

N/A 0.334 0.471 0.396 0.120 0.106 0.000 0.143 0.203 8.830

Problem 46

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

120 128 76 79 349 181 0 276 179 78

N.S.

1 1.07 0.63 0.66 2.91 1.51 0.00 2.30 1.49 0.65

time (sec)

N/A 0.390 0.605 0.421 0.122 0.094 0.000 0.147 0.201 9.154

Problem 47

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

162 169 101 103 541 241 0 406 134 153

N.S.

1 1.04 0.62 0.64 3.34 1.49 0.00 2.51 0.83 0.94

time (sec)

N/A 0.459 0.783 0.450 0.119 0.110 0.000 0.153 0.273 9.294

Problem 48

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

112 132 110 155 253 159 0 125 290 0

N.S.

1 1.18 0.98 1.38 2.26 1.42 0.00 1.12 2.59 0.00

time (sec)

N/A 0.566 0.618 0.496 0.112 0.093 0.000 0.153 0.222 0.000

Problem 49

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

88 94 93 113 135 126 0 96 202 0

N.S.

1 1.07 1.06 1.28 1.53 1.43 0.00 1.09 2.30 0.00

time (sec)

N/A 0.364 0.453 0.403 0.112 0.105 0.000 0.146 0.210 0.000

Problem 50

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

62 62 77 102 93 105 206 73 81 106

N.S.

1 1.00 1.24 1.65 1.50 1.69 3.32 1.18 1.31 1.71

time (sec)

N/A 0.314 0.438 0.296 0.119 0.089 4.638 0.151 0.209 9.793

Problem 51

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

35 35 35 34 40 66 87 43 34 27

N.S.

1 1.00 1.00 0.97 1.14 1.89 2.49 1.23 0.97 0.77

time (sec)

N/A 0.265 0.330 0.285 0.028 0.077 3.138 0.140 0.209 9.147

Problem 52

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

77 77 82 77 139 173 0 0 150 83

N.S.

1 1.00 1.06 1.00 1.81 2.25 0.00 0.00 1.95 1.08

time (sec)

N/A 0.347 0.470 0.394 0.038 0.102 0.000 0.000 0.220 9.173

Problem 53

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

120 119 106 109 333 202 0 321 240 109

N.S.

1 0.99 0.88 0.91 2.78 1.68 0.00 2.68 2.00 0.91

time (sec)

N/A 0.368 0.594 0.398 0.042 0.096 0.000 0.157 0.243 9.821

Problem 54

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

156 160 128 132 604 294 0 0 325 244

N.S.

1 1.03 0.82 0.85 3.87 1.88 0.00 0.00 2.08 1.56

time (sec)

N/A 0.436 0.803 0.422 0.046 0.191 0.000 0.000 0.233 9.987

Problem 55

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

153 164 133 266 594 240 0 259 492 0

N.S.

1 1.07 0.87 1.74 3.88 1.57 0.00 1.69 3.22 0.00

time (sec)

N/A 0.567 0.816 0.735 0.124 0.092 0.000 0.160 0.239 0.000

Problem 56

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

126 133 118 223 405 203 0 191 383 0

N.S.

1 1.06 0.94 1.77 3.21 1.61 0.00 1.52 3.04 0.00

time (sec)

N/A 0.437 0.676 0.553 0.120 0.105 0.000 0.158 0.279 0.000

Problem 57

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

102 99 91 300 308 172 0 170 193 0

N.S.

1 0.97 0.89 2.94 3.02 1.69 0.00 1.67 1.89 0.00

time (sec)

N/A 0.353 0.668 0.441 0.121 0.098 0.000 0.164 0.254 0.000

Problem 58

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

81 81 54 56 168 119 0 145 88 53

N.S.

1 1.00 0.67 0.69 2.07 1.47 0.00 1.79 1.09 0.65

time (sec)

N/A 0.321 0.459 0.393 0.031 0.082 0.000 0.153 0.254 10.004

Problem 59

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

74 74 81 82 129 169 481 0 152 83

N.S.

1 1.00 1.09 1.11 1.74 2.28 6.50 0.00 2.05 1.12

time (sec)

N/A 0.302 0.463 0.302 0.035 0.090 5.196 0.000 0.209 9.783

Problem 60

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

64 64 66 48 63 102 296 59 62 47

N.S.

1 1.00 1.03 0.75 0.98 1.59 4.62 0.92 0.97 0.73

time (sec)

N/A 0.280 0.401 0.287 0.033 0.109 4.089 0.170 0.229 10.329

Problem 61

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

112 109 130 126 184 290 0 0 325 134

N.S.

1 0.97 1.16 1.12 1.64 2.59 0.00 0.00 2.90 1.20

time (sec)

N/A 0.339 0.627 0.385 0.046 0.110 0.000 0.000 0.214 10.032

Problem 62

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

156 151 153 157 378 360 0 427 350 275

N.S.

1 0.97 0.98 1.01 2.42 2.31 0.00 2.74 2.24 1.76

time (sec)

N/A 0.413 0.697 0.405 0.045 0.147 0.000 0.173 0.219 10.306

Problem 63

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

188 191 172 181 649 399 0 0 494 366

N.S.

1 1.02 0.91 0.96 3.45 2.12 0.00 0.00 2.63 1.95

time (sec)

N/A 0.462 1.039 0.424 0.049 0.277 0.000 0.000 0.219 10.818

Problem 64

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

205 192 117 115 150 144 0 492 118 170

N.S.

1 0.94 0.57 0.56 0.73 0.70 0.00 2.40 0.58 0.83

time (sec)

N/A 0.484 0.299 0.428 0.059 0.079 0.000 0.120 0.195 10.363

Problem 65

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

158 153 94 91 128 119 0 404 94 143

N.S.

1 0.97 0.59 0.58 0.81 0.75 0.00 2.56 0.59 0.91

time (sec)

N/A 0.430 0.248 0.418 0.057 0.085 0.000 0.125 0.210 9.741

Problem 66

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

115 115 72 67 106 96 0 164 70 116

N.S.

1 1.00 0.63 0.58 0.92 0.83 0.00 1.43 0.61 1.01

time (sec)

N/A 0.375 0.207 0.370 0.049 0.083 0.000 0.125 0.213 9.778

Problem 67

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

74 74 55 47 55 71 0 52 46 64

N.S.

1 1.00 0.74 0.64 0.74 0.96 0.00 0.70 0.62 0.86

time (sec)

N/A 0.324 0.183 0.352 0.045 0.079 0.000 0.120 0.217 9.554

Problem 68

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

132 130 104 126 0 281 0 80 111 0

N.S.

1 0.98 0.79 0.95 0.00 2.13 0.00 0.61 0.84 0.00

time (sec)

N/A 0.416 0.491 0.368 0.000 0.095 0.000 0.123 0.237 0.000

Problem 69

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

130 146 107 169 0 369 0 87 212 0

N.S.

1 1.12 0.82 1.30 0.00 2.84 0.00 0.67 1.63 0.00

time (sec)

N/A 0.438 0.438 0.375 0.000 0.096 0.000 0.121 0.225 0.000

Problem 70

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

147 144 119 268 0 461 0 109 276 0

N.S.

1 0.98 0.81 1.82 0.00 3.14 0.00 0.74 1.88 0.00

time (sec)

N/A 0.448 0.523 0.357 0.000 0.104 0.000 0.122 0.427 0.000

Problem 71

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

190 189 142 374 0 579 0 157 397 0

N.S.

1 0.99 0.75 1.97 0.00 3.05 0.00 0.83 2.09 0.00

time (sec)

N/A 0.504 0.653 0.353 0.000 0.107 0.000 0.119 0.257 0.000

Problem 72

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

236 233 166 478 0 709 0 205 518 0

N.S.

1 0.99 0.70 2.03 0.00 3.00 0.00 0.87 2.19 0.00

time (sec)

N/A 0.579 0.690 0.378 0.000 0.111 0.000 0.141 0.367 0.000

Problem 73

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

205 192 119 115 172 167 0 870 142 191

N.S.

1 0.94 0.58 0.56 0.84 0.81 0.00 4.24 0.69 0.93

time (sec)

N/A 0.480 1.021 0.414 0.062 0.086 0.000 0.120 0.214 9.642

Problem 74

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

158 153 96 91 150 143 0 375 118 171

N.S.

1 0.97 0.61 0.58 0.95 0.91 0.00 2.37 0.75 1.08

time (sec)

N/A 0.429 0.678 0.426 0.058 0.083 0.000 0.112 0.221 9.457

Problem 75

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

115 115 74 67 100 118 0 192 94 107

N.S.

1 1.00 0.64 0.58 0.87 1.03 0.00 1.67 0.82 0.93

time (sec)

N/A 0.375 0.654 0.410 0.047 0.084 0.000 0.122 0.282 9.667

Problem 76

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

75 75 55 47 74 94 0 144 70 88

N.S.

1 1.00 0.73 0.63 0.99 1.25 0.00 1.92 0.93 1.17

time (sec)

N/A 0.332 0.673 0.382 0.046 0.084 0.000 0.124 0.244 9.958

Problem 77

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

173 166 125 162 0 335 0 119 152 0

N.S.

1 0.96 0.72 0.94 0.00 1.94 0.00 0.69 0.88 0.00

time (sec)

N/A 0.463 1.113 0.365 0.000 0.107 0.000 0.122 0.284 0.000

Problem 78

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

170 182 126 183 0 399 0 118 241 0

N.S.

1 1.07 0.74 1.08 0.00 2.35 0.00 0.69 1.42 0.00

time (sec)

N/A 0.506 1.232 0.384 0.000 0.100 0.000 0.125 0.263 0.000

Problem 79

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

176 181 125 192 0 487 0 116 365 0

N.S.

1 1.03 0.71 1.09 0.00 2.77 0.00 0.66 2.07 0.00

time (sec)

N/A 0.501 1.354 0.390 0.000 0.096 0.000 0.136 0.796 0.000

Problem 80

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

188 181 142 374 0 581 0 157 397 0

N.S.

1 0.96 0.76 1.99 0.00 3.09 0.00 0.84 2.11 0.00

time (sec)

N/A 0.501 1.717 0.365 0.000 0.103 0.000 0.128 0.292 0.000

Problem 81

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

233 227 166 478 0 705 0 205 518 0

N.S.

1 0.97 0.71 2.05 0.00 3.03 0.00 0.88 2.22 0.00

time (sec)

N/A 0.551 2.348 0.369 0.000 0.113 0.000 0.135 0.504 0.000

Problem 82

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

201 191 118 115 194 192 0 674 166 217

N.S.

1 0.95 0.59 0.57 0.97 0.96 0.00 3.35 0.83 1.08

time (sec)

N/A 0.498 0.778 0.408 0.060 0.089 0.000 0.128 0.241 10.111

Problem 83

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

158 153 96 91 144 165 0 422 142 144

N.S.

1 0.97 0.61 0.58 0.91 1.04 0.00 2.67 0.90 0.91

time (sec)

N/A 0.431 0.706 0.407 0.050 0.082 0.000 0.137 0.230 9.862

Problem 84

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

117 116 75 67 122 144 0 471 118 125

N.S.

1 0.99 0.64 0.57 1.04 1.23 0.00 4.03 1.01 1.07

time (sec)

N/A 0.390 0.742 0.409 0.048 0.082 0.000 0.132 0.250 9.890

Problem 85

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

75 75 55 47 99 119 0 286 94 106

N.S.

1 1.00 0.73 0.63 1.32 1.59 0.00 3.81 1.25 1.41

time (sec)

N/A 0.351 0.772 0.385 0.046 0.077 0.000 0.128 0.231 9.784

Problem 86

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

216 202 147 195 0 387 0 166 194 0

N.S.

1 0.94 0.68 0.90 0.00 1.79 0.00 0.77 0.90 0.00

time (sec)

N/A 0.530 1.312 0.371 0.000 0.153 0.000 0.126 0.265 0.000

Problem 87

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

213 218 147 206 0 458 0 158 289 0

N.S.

1 1.02 0.69 0.97 0.00 2.15 0.00 0.74 1.36 0.00

time (sec)

N/A 0.554 1.326 0.388 0.000 0.107 0.000 0.131 0.299 0.000

Problem 88

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

219 217 149 206 0 518 0 148 394 0

N.S.

1 0.99 0.68 0.94 0.00 2.37 0.00 0.68 1.80 0.00

time (sec)

N/A 0.565 1.690 0.389 0.000 0.111 0.000 0.151 1.098 0.000

Problem 89

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

217 218 149 215 0 607 0 163 518 0

N.S.

1 1.00 0.69 0.99 0.00 2.80 0.00 0.75 2.39 0.00

time (sec)

N/A 0.555 2.243 0.389 0.000 0.116 0.000 0.130 0.288 0.000

Problem 90

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

229 218 165 478 0 695 0 204 518 0

N.S.

1 0.95 0.72 2.09 0.00 3.03 0.00 0.89 2.26 0.00

time (sec)

N/A 0.569 2.616 0.370 0.000 0.112 0.000 0.144 0.396 0.000

Problem 91

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

274 264 188 582 0 827 0 252 639 0

N.S.

1 0.96 0.69 2.12 0.00 3.02 0.00 0.92 2.33 0.00

time (sec)

N/A 0.614 4.226 0.371 0.000 0.130 0.000 0.142 0.382 0.000

Problem 92

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

318 307 210 686 0 945 0 299 760 0

N.S.

1 0.97 0.66 2.16 0.00 2.97 0.00 0.94 2.39 0.00

time (sec)

N/A 0.696 4.304 0.377 0.000 0.159 0.000 0.136 0.413 0.000

Problem 93

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

161 154 89 85 100 95 0 124 70 117

N.S.

1 0.96 0.55 0.53 0.62 0.59 0.00 0.77 0.43 0.73

time (sec)

N/A 0.439 0.264 0.447 0.046 0.088 0.000 0.121 0.215 9.753

Problem 94

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

117 116 65 61 76 71 0 77 46 91

N.S.

1 0.99 0.56 0.52 0.65 0.61 0.00 0.66 0.39 0.78

time (sec)

N/A 0.377 0.221 0.374 0.048 0.089 0.000 0.115 0.232 9.803

Problem 95

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

74 74 45 40 53 49 0 40 26 61

N.S.

1 1.00 0.61 0.54 0.72 0.66 0.00 0.54 0.35 0.82

time (sec)

N/A 0.314 0.180 0.349 0.045 0.077 0.000 0.127 0.240 9.640

Problem 96

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

91 91 89 99 0 263 0 53 108 0

N.S.

1 1.00 0.98 1.09 0.00 2.89 0.00 0.58 1.19 0.00

time (sec)

N/A 0.362 0.351 0.366 0.000 0.087 0.000 0.130 0.225 0.000

Problem 97

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

106 106 105 170 0 353 0 81 235 0

N.S.

1 1.00 0.99 1.60 0.00 3.33 0.00 0.76 2.22 0.00

time (sec)

N/A 0.376 0.455 0.365 0.000 0.092 0.000 0.118 0.240 0.000

Problem 98

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

151 153 119 270 0 467 0 110 402 0

N.S.

1 1.01 0.79 1.79 0.00 3.09 0.00 0.73 2.66 0.00

time (sec)

N/A 0.429 0.532 0.362 0.000 0.117 0.000 0.130 0.222 0.000

Problem 99

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

195 196 143 374 0 591 0 158 573 0

N.S.

1 1.01 0.73 1.92 0.00 3.03 0.00 0.81 2.94 0.00

time (sec)

N/A 0.492 0.625 0.365 0.000 0.113 0.000 0.121 0.237 0.000

Problem 100

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

154 163 96 91 77 99 0 120 72 124

N.S.

1 1.06 0.62 0.59 0.50 0.64 0.00 0.78 0.47 0.81

time (sec)

N/A 0.430 1.008 0.381 0.049 0.088 0.000 0.120 0.229 10.157