Integrals 101 to 200

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 101

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

121 121 133 148 127 205 248 1165 212 111

N.S.

1 1.00 1.10 1.22 1.05 1.69 2.05 9.63 1.75 0.92

time (sec)

N/A 0.260 0.109 0.931 0.041 0.080 0.981 0.129 0.221 0.041

Problem 102

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

121 121 133 147 778 165 248 778 168 111

N.S.

1 1.00 1.10 1.21 6.43 1.36 2.05 6.43 1.39 0.92

time (sec)

N/A 0.249 0.111 0.921 0.045 0.087 0.974 0.120 0.217 0.037

Problem 103

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

121 121 133 169 136 178 226 187 169 129

N.S.

1 1.00 1.10 1.40 1.12 1.47 1.87 1.55 1.40 1.07

time (sec)

N/A 0.263 0.098 0.934 0.042 0.081 1.875 0.142 0.199 0.042

Problem 104

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

121 121 133 170 136 194 226 187 178 131

N.S.

1 1.00 1.10 1.40 1.12 1.60 1.87 1.55 1.47 1.08

time (sec)

N/A 0.256 0.099 0.937 0.037 0.086 1.843 0.150 0.196 5.248

Problem 105

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

121 121 133 143 142 208 216 186 189 170

N.S.

1 1.00 1.10 1.18 1.17 1.72 1.79 1.54 1.56 1.40

time (sec)

N/A 0.253 0.112 0.965 0.046 0.089 1.962 0.153 0.238 0.050

Problem 106

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

121 121 133 138 142 210 1394 186 189 159

N.S.

1 1.00 1.10 1.14 1.17 1.74 11.52 1.54 1.56 1.31

time (sec)

N/A 0.256 0.120 1.010 0.037 0.086 0.737 0.157 0.210 5.230

Problem 107

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

121 121 133 132 138 238 1731 176 211 147

N.S.

1 1.00 1.10 1.09 1.14 1.97 14.31 1.45 1.74 1.21

time (sec)

N/A 0.253 0.104 0.986 0.038 0.088 1.014 0.142 0.205 0.049

Problem 108

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

121 121 133 130 138 252 1975 176 222 147

N.S.

1 1.00 1.10 1.07 1.14 2.08 16.32 1.45 1.83 1.21

time (sec)

N/A 0.254 0.106 0.939 0.034 0.087 1.491 0.147 0.198 5.318

Problem 109

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

177 199 254 340 0 1079 0 733 892 240

N.S.

1 1.12 1.44 1.92 0.00 6.10 0.00 4.14 5.04 1.36

time (sec)

N/A 0.421 0.460 5.174 0.000 0.097 0.000 0.189 0.200 0.132

Problem 110

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

149 170 217 296 0 1005 0 531 573 168

N.S.

1 1.14 1.46 1.99 0.00 6.74 0.00 3.56 3.85 1.13

time (sec)

N/A 0.363 0.512 1.517 0.000 0.096 0.000 0.171 0.205 5.435

Problem 111

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

147 168 215 297 0 629 0 531 540 167

N.S.

1 1.14 1.46 2.02 0.00 4.28 0.00 3.61 3.67 1.14

time (sec)

N/A 0.343 0.409 1.448 0.000 0.093 0.000 0.169 0.220 0.113

Problem 112

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

121 139 214 257 0 472 0 354 260 97

N.S.

1 1.15 1.77 2.12 0.00 3.90 0.00 2.93 2.15 0.80

time (sec)

N/A 0.300 0.276 1.535 0.000 0.091 0.000 0.125 0.188 0.075

Problem 113

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

119 137 192 253 0 200 0 354 245 97

N.S.

1 1.15 1.61 2.13 0.00 1.68 0.00 2.97 2.06 0.82

time (sec)

N/A 0.302 0.232 1.426 0.000 0.084 0.000 0.131 0.205 5.392

Problem 114

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

103 110 151 228 0 237 0 393 203 83

N.S.

1 1.07 1.47 2.21 0.00 2.30 0.00 3.82 1.97 0.81

time (sec)

N/A 0.262 0.203 1.638 0.000 0.093 0.000 0.139 0.204 5.400

Problem 115

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

103 110 153 228 0 407 0 393 195 161

N.S.

1 1.07 1.49 2.21 0.00 3.95 0.00 3.82 1.89 1.56

time (sec)

N/A 0.269 0.209 1.380 0.000 0.131 0.000 0.124 0.201 5.333

Problem 116

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

131 151 193 274 0 900 0 497 305 153

N.S.

1 1.15 1.47 2.09 0.00 6.87 0.00 3.79 2.33 1.17

time (sec)

N/A 0.315 0.254 1.423 0.000 0.092 0.000 0.153 0.228 0.101

Problem 117

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

133 153 242 274 0 1116 0 497 604 1345

N.S.

1 1.15 1.82 2.06 0.00 8.39 0.00 3.74 4.54 10.11

time (sec)

N/A 0.327 0.362 1.462 0.000 0.096 0.000 0.146 0.189 5.715

Problem 118

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

161 196 219 301 0 1880 0 605 1021 230

N.S.

1 1.22 1.36 1.87 0.00 11.68 0.00 3.76 6.34 1.43

time (sec)

N/A 0.378 0.424 1.508 0.000 0.115 0.000 0.159 0.194 5.352

Problem 119

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

212 234 351 407 0 1293 0 876 2640 1060

N.S.

1 1.10 1.66 1.92 0.00 6.10 0.00 4.13 12.45 5.00

time (sec)

N/A 0.450 1.387 1.713 0.000 0.172 0.000 0.155 0.212 5.358

Problem 120

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

183 205 290 344 0 1211 0 646 1750 249

N.S.

1 1.12 1.58 1.88 0.00 6.62 0.00 3.53 9.56 1.36

time (sec)

N/A 0.402 0.959 1.661 0.000 0.106 0.000 0.149 0.218 0.093

Problem 121

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

181 203 296 353 0 816 0 646 1696 834

N.S.

1 1.12 1.64 1.95 0.00 4.51 0.00 3.57 9.37 4.61

time (sec)

N/A 0.393 0.951 1.674 0.000 0.123 0.000 0.141 0.228 0.115

Problem 122

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

154 174 254 302 0 659 0 441 843 165

N.S.

1 1.13 1.65 1.96 0.00 4.28 0.00 2.86 5.47 1.07

time (sec)

N/A 0.340 0.834 1.628 0.000 0.114 0.000 0.163 0.213 0.091

Problem 123

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

152 172 256 302 0 361 0 441 810 597

N.S.

1 1.13 1.68 1.99 0.00 2.38 0.00 2.90 5.33 3.93

time (sec)

N/A 0.345 0.876 2.240 0.000 0.095 0.000 0.133 0.207 5.360

Problem 124

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

133 142 230 277 0 376 0 439 841 131

N.S.

1 1.07 1.73 2.08 0.00 2.83 0.00 3.30 6.32 0.98

time (sec)

N/A 0.300 0.797 1.352 0.000 0.096 0.000 0.149 0.218 5.267

Problem 125

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

133 142 230 277 0 516 0 438 807 225

N.S.

1 1.07 1.73 2.08 0.00 3.88 0.00 3.29 6.07 1.69

time (sec)

N/A 0.297 0.670 1.321 0.000 0.100 0.000 0.132 0.226 0.077

Problem 126

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

145 162 223 294 0 980 0 504 872 179

N.S.

1 1.12 1.54 2.03 0.00 6.76 0.00 3.48 6.01 1.23

time (sec)

N/A 0.312 0.485 1.316 0.000 0.102 0.000 0.189 0.209 5.252

Problem 127

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

145 162 218 292 0 1083 0 507 847 183

N.S.

1 1.12 1.50 2.01 0.00 7.47 0.00 3.50 5.84 1.26

time (sec)

N/A 0.321 0.754 1.280 0.000 0.098 0.000 0.142 0.189 5.275

Problem 128

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

174 205 260 323 0 1884 0 650 1012 264

N.S.

1 1.18 1.49 1.86 0.00 10.83 0.00 3.74 5.82 1.52

time (sec)

N/A 0.376 0.845 1.314 0.000 0.106 0.000 0.162 0.220 5.367

Problem 129

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

176 207 268 318 0 2171 0 646 1651 2280

N.S.

1 1.18 1.52 1.81 0.00 12.34 0.00 3.67 9.38 12.95

time (sec)

N/A 0.381 0.994 1.355 0.000 0.115 0.000 0.133 0.227 5.331

Problem 130

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

205 250 298 350 0 3285 0 779 2451 336

N.S.

1 1.22 1.45 1.71 0.00 16.02 0.00 3.80 11.96 1.64

time (sec)

N/A 0.451 1.078 1.449 0.000 0.128 0.000 0.151 0.209 5.731

Problem 131

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

224 244 343 432 0 1426 0 753 3296 364

N.S.

1 1.09 1.53 1.93 0.00 6.37 0.00 3.36 14.71 1.62

time (sec)

N/A 0.448 1.964 1.653 0.000 0.118 0.000 0.211 0.238 0.112

Problem 132

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

224 242 353 432 0 1029 0 753 3221 966

N.S.

1 1.08 1.58 1.93 0.00 4.59 0.00 3.36 14.38 4.31

time (sec)

N/A 0.449 2.223 1.596 0.000 0.107 0.000 0.194 0.218 5.237

Problem 133

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

195 213 292 361 0 853 0 521 1789 264

N.S.

1 1.09 1.50 1.85 0.00 4.37 0.00 2.67 9.17 1.35

time (sec)

N/A 0.402 1.980 1.536 0.000 0.108 0.000 0.188 0.216 0.096

Problem 134

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

193 211 298 359 0 552 0 521 1735 720

N.S.

1 1.09 1.54 1.86 0.00 2.86 0.00 2.70 8.99 3.73

time (sec)

N/A 0.404 1.851 1.525 0.000 0.103 0.000 0.159 0.264 5.187

Problem 135

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

172 181 257 305 0 543 0 510 1815 215

N.S.

1 1.05 1.49 1.77 0.00 3.16 0.00 2.97 10.55 1.25

time (sec)

N/A 0.353 1.496 1.431 0.000 0.170 0.000 0.168 0.236 5.227

Problem 136

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

172 181 263 305 0 696 0 510 1761 309

N.S.

1 1.05 1.53 1.77 0.00 4.05 0.00 2.97 10.24 1.80

time (sec)

N/A 0.353 1.411 1.476 0.000 0.106 0.000 0.151 0.261 0.083

Problem 137

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

180 201 267 324 0 1296 0 567 1866 251

N.S.

1 1.12 1.48 1.80 0.00 7.20 0.00 3.15 10.37 1.39

time (sec)

N/A 0.369 1.887 1.503 0.000 0.114 0.000 0.163 0.213 0.076

Problem 138

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

180 201 261 324 0 1345 0 567 1810 255

N.S.

1 1.12 1.45 1.80 0.00 7.47 0.00 3.15 10.06 1.42

time (sec)

N/A 0.367 1.620 1.356 0.000 0.109 0.000 0.161 0.251 5.339

Problem 139

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

194 220 266 340 0 1980 0 645 1942 320

N.S.

1 1.13 1.37 1.75 0.00 10.21 0.00 3.32 10.01 1.65

time (sec)

N/A 0.385 1.165 1.384 0.000 0.118 0.000 0.189 0.228 5.353

Problem 140

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

194 220 272 340 0 1991 0 645 1892 317

N.S.

1 1.13 1.40 1.75 0.00 10.26 0.00 3.32 9.75 1.63

time (sec)

N/A 0.389 0.997 1.290 0.000 0.118 0.000 0.153 0.198 5.265

Problem 141

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

225 263 300 355 0 3252 0 813 2160 421

N.S.

1 1.17 1.33 1.58 0.00 14.45 0.00 3.61 9.60 1.87

time (sec)

N/A 0.442 1.488 1.368 0.000 0.128 0.000 0.159 0.275 5.503

Problem 142

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

227 265 306 355 0 3517 0 813 3095 3227

N.S.

1 1.17 1.35 1.56 0.00 15.49 0.00 3.58 13.63 14.22

time (sec)

N/A 0.450 1.648 1.429 0.000 0.136 0.000 0.160 0.295 5.974

Problem 143

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

258 308 355 382 0 4956 0 958 4318 543

N.S.

1 1.19 1.38 1.48 0.00 19.21 0.00 3.71 16.74 2.10

time (sec)

N/A 0.533 2.031 1.543 0.000 0.173 0.000 0.188 0.364 5.649

Problem 144

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

141 212 112 118 150 112 0 138 149 75

N.S.

1 1.50 0.79 0.84 1.06 0.79 0.00 0.98 1.06 0.53

time (sec)

N/A 0.442 0.269 2.398 0.111 0.079 0.000 0.148 0.220 5.362

Problem 145

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

128 188 101 109 141 105 0 129 138 66

N.S.

1 1.47 0.79 0.85 1.10 0.82 0.00 1.01 1.08 0.52

time (sec)

N/A 0.397 0.202 1.549 0.112 0.084 0.000 0.154 0.217 0.057

Problem 146

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

127 196 100 109 141 101 0 129 129 66

N.S.

1 1.54 0.79 0.86 1.11 0.80 0.00 1.02 1.02 0.52

time (sec)

N/A 0.388 0.181 1.398 0.115 0.081 0.000 0.153 0.204 0.050

Problem 147

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

116 174 78 99 132 97 0 120 106 57

N.S.

1 1.50 0.67 0.85 1.14 0.84 0.00 1.03 0.91 0.49

time (sec)

N/A 0.360 0.173 1.399 0.114 0.079 0.000 0.143 0.201 0.052

Problem 148

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

115 184 76 99 132 96 0 120 106 57

N.S.

1 1.60 0.66 0.86 1.15 0.83 0.00 1.04 0.92 0.50

time (sec)

N/A 0.364 0.172 1.286 0.113 0.084 0.000 0.135 0.189 5.284

Problem 149

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

136 190 103 109 141 134 0 129 155 66

N.S.

1 1.40 0.76 0.80 1.04 0.99 0.00 0.95 1.14 0.49

time (sec)

N/A 0.376 0.290 1.281 0.126 0.088 0.000 0.153 0.227 5.227

Problem 150

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

136 200 104 109 141 158 0 129 310 66

N.S.

1 1.47 0.76 0.80 1.04 1.16 0.00 0.95 2.28 0.49

time (sec)

N/A 0.378 0.244 1.336 0.131 0.083 0.000 0.117 0.206 0.054

Problem 151

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

165 159 151 193 0 473 1149 257 434 1144

N.S.

1 0.96 0.92 1.17 0.00 2.87 6.96 1.56 2.63 6.93

time (sec)

N/A 0.305 1.675 1.082 0.000 0.104 0.693 0.165 0.218 6.252

Problem 152

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

59 59 80 41 0 91 216 58 76 89

N.S.

1 1.00 1.36 0.69 0.00 1.54 3.66 0.98 1.29 1.51

time (sec)

N/A 0.201 0.885 0.870 0.000 0.082 0.105 0.111 0.203 5.384

Problem 153

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

123 120 101 114 0 309 379 153 255 335

N.S.

1 0.98 0.82 0.93 0.00 2.51 3.08 1.24 2.07 2.72

time (sec)

N/A 0.256 0.860 0.937 0.000 0.094 0.570 0.162 0.227 5.591

Problem 154

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

19 19 18 16 15 28 65 15 24 15

N.S.

1 1.00 0.95 0.84 0.79 1.47 3.42 0.79 1.26 0.79

time (sec)

N/A 0.151 0.030 0.814 0.036 0.079 0.070 0.135 0.218 5.170

Problem 155

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

83 83 96 78 0 193 0 97 148 0

N.S.

1 1.00 1.16 0.94 0.00 2.33 0.00 1.17 1.78 0.00

time (sec)

N/A 0.243 0.438 1.048 0.000 0.107 0.000 0.131 0.207 0.000

Problem 156

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

75 75 292 182 0 189 0 215 124 0

N.S.

1 1.00 3.89 2.43 0.00 2.52 0.00 2.87 1.65 0.00

time (sec)

N/A 0.206 0.973 1.062 0.000 0.115 0.000 0.148 0.194 0.000

Problem 157

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

91 91 103 89 0 371 0 246 494 0

N.S.

1 1.00 1.13 0.98 0.00 4.08 0.00 2.70 5.43 0.00

time (sec)

N/A 0.227 10.210 1.020 0.000 0.135 0.000 0.185 0.248 0.000

Problem 158

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

39 39 38 38 0 98 0 199 173 111

N.S.

1 1.00 0.97 0.97 0.00 2.51 0.00 5.10 4.44 2.85

time (sec)

N/A 0.173 10.086 1.224 0.000 0.252 0.000 0.172 0.204 5.531

Problem 159

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

133 132 62 135 0 721 0 0 994 0

N.S.

1 0.99 0.47 1.02 0.00 5.42 0.00 0.00 7.47 0.00

time (sec)

N/A 0.283 10.039 1.029 0.000 0.512 0.000 0.000 0.655 0.000

Problem 160

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

79 79 62 70 0 274 0 417 427 589

N.S.

1 1.00 0.78 0.89 0.00 3.47 0.00 5.28 5.41 7.46

time (sec)

N/A 0.220 10.033 1.467 0.000 1.150 0.000 0.447 0.197 5.743

Problem 161

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

175 183 62 157 0 1213 0 1336 1607 0

N.S.

1 1.05 0.35 0.90 0.00 6.93 0.00 7.63 9.18 0.00

time (sec)

N/A 0.338 10.034 1.040 0.000 1.971 0.000 0.478 2.594 0.000

Problem 162

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

98 98 92 79 0 251 656 128 237 241

N.S.

1 1.00 0.94 0.81 0.00 2.56 6.69 1.31 2.42 2.46

time (sec)

N/A 0.242 2.383 0.882 0.000 0.106 0.244 0.365 0.209 5.731

Problem 163

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

207 204 221 294 0 677 3067 389 663 0

N.S.

1 0.99 1.07 1.42 0.00 3.27 14.82 1.88 3.20 0.00

time (sec)

N/A 0.360 2.513 1.044 0.000 0.118 0.786 0.383 0.258 0.000

Problem 164

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

59 59 44 41 0 149 371 58 131 58

N.S.

1 1.00 0.75 0.69 0.00 2.53 6.29 0.98 2.22 0.98

time (sec)

N/A 0.202 1.601 0.881 0.000 0.093 0.176 0.346 0.206 5.646

Problem 165

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

165 165 153 193 0 473 1042 257 434 0

N.S.

1 1.00 0.93 1.17 0.00 2.87 6.32 1.56 2.63 0.00

time (sec)

N/A 0.304 1.681 0.949 0.000 0.113 0.638 0.415 0.218 0.000

Problem 166

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

19 19 18 16 15 55 146 15 51 15

N.S.

1 1.00 0.95 0.84 0.79 2.89 7.68 0.79 2.68 0.79

time (sec)

N/A 0.157 0.026 0.806 0.029 0.089 0.123 0.382 0.204 5.655

Problem 167

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

115 120 124 119 0 257 0 149 342 0

N.S.

1 1.04 1.08 1.03 0.00 2.23 0.00 1.30 2.97 0.00

time (sec)

N/A 0.277 1.012 1.020 0.000 0.127 0.000 0.369 0.228 0.000

Problem 168

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

113 118 244 179 0 281 0 440 296 0

N.S.

1 1.04 2.16 1.58 0.00 2.49 0.00 3.89 2.62 0.00

time (sec)

N/A 0.250 1.520 1.087 0.000 0.141 0.000 0.532 0.207 0.000

Problem 169

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

115 120 62 114 0 331 0 378 501 0

N.S.

1 1.04 0.54 0.99 0.00 2.88 0.00 3.29 4.36 0.00

time (sec)

N/A 0.282 10.041 1.056 0.000 0.188 0.000 0.382 0.301 0.000

Problem 170

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

107 112 95 311 0 345 0 431 291 0

N.S.

1 1.05 0.89 2.91 0.00 3.22 0.00 4.03 2.72 0.00

time (sec)

N/A 0.254 10.068 1.184 0.000 0.313 0.000 0.437 0.218 0.000

Problem 171

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

123 128 162 124 0 615 0 0 932 0

N.S.

1 1.04 1.32 1.01 0.00 5.00 0.00 0.00 7.58 0.00

time (sec)

N/A 0.271 10.212 1.011 0.000 0.503 0.000 0.000 0.692 0.000

Problem 172

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

39 39 38 38 0 183 0 588 310 1156

N.S.

1 1.00 0.97 0.97 0.00 4.69 0.00 15.08 7.95 29.64

time (sec)

N/A 0.167 10.150 1.456 0.000 1.080 0.000 0.495 0.279 5.763

Problem 173

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

165 169 62 157 0 1057 0 1312 1512 0

N.S.

1 1.02 0.38 0.95 0.00 6.41 0.00 7.95 9.16 0.00

time (sec)

N/A 0.328 10.034 1.049 0.000 2.006 0.000 0.514 3.192 0.000

Problem 174

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

79 79 62 70 0 398 0 997 642 1814

N.S.

1 1.00 0.78 0.89 0.00 5.04 0.00 12.62 8.13 22.96

time (sec)

N/A 0.223 10.038 1.963 0.000 5.343 0.000 0.531 0.256 6.227

Problem 175

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

207 220 62 194 0 1639 0 2225 2202 0

N.S.

1 1.06 0.30 0.94 0.00 7.92 0.00 10.75 10.64 0.00

time (sec)

N/A 0.386 10.041 1.089 0.000 9.787 0.000 0.618 10.037 0.000

Problem 176

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

118 130 110 133 0 676 0 1387 1083 3111

N.S.

1 1.10 0.93 1.13 0.00 5.73 0.00 11.75 9.18 26.36

time (sec)

N/A 0.269 10.061 2.860 0.000 15.046 0.000 0.749 0.383 7.739

Problem 177

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

98 98 92 79 0 338 913 128 334 128

N.S.

1 1.00 0.94 0.81 0.00 3.45 9.32 1.31 3.41 1.31

time (sec)

N/A 0.242 3.723 1.112 0.000 0.136 0.397 0.372 0.280 6.099

Problem 178

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

249 249 315 427 0 923 8670 545 942 0

N.S.

1 1.00 1.27 1.71 0.00 3.71 34.82 2.19 3.78 0.00

time (sec)

N/A 0.413 4.311 1.179 0.000 0.136 0.905 0.409 0.407 0.000

Problem 179

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

59 59 44 41 0 215 559 58 200 58

N.S.

1 1.00 0.75 0.69 0.00 3.64 9.47 0.98 3.39 0.98

time (sec)

N/A 0.194 2.335 0.907 0.000 0.107 0.290 0.369 0.228 6.373

Problem 180

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

207 210 223 294 0 675 2958 387 663 0

N.S.

1 1.01 1.08 1.42 0.00 3.26 14.29 1.87 3.20 0.00

time (sec)

N/A 0.359 2.534 0.993 0.000 0.115 0.712 0.346 0.234 0.000

Problem 181

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

19 19 18 16 15 94 260 15 92 15

N.S.

1 1.00 0.95 0.84 0.79 4.95 13.68 0.79 4.84 0.79

time (sec)

N/A 0.151 0.025 0.823 0.033 0.094 0.202 0.369 0.227 5.763

Problem 182

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

149 157 172 158 0 383 0 237 591 0

N.S.

1 1.05 1.15 1.06 0.00 2.57 0.00 1.59 3.97 0.00

time (sec)

N/A 0.320 1.450 1.055 0.000 0.156 0.000 0.407 0.204 0.000

Problem 183

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

153 161 295 262 0 427 0 814 527 0

N.S.

1 1.05 1.93 1.71 0.00 2.79 0.00 5.32 3.44 0.00

time (sec)

N/A 0.281 2.372 1.126 0.000 0.190 0.000 0.663 0.211 0.000

Problem 184

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

147 157 62 174 0 491 0 510 1030 0

N.S.

1 1.07 0.42 1.18 0.00 3.34 0.00 3.47 7.01 0.00

time (sec)

N/A 0.313 10.042 1.157 0.000 0.275 0.000 0.401 0.503 0.000

Problem 185

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

145 155 331 329 0 529 0 612 675 0

N.S.

1 1.07 2.28 2.27 0.00 3.65 0.00 4.22 4.66 0.00

time (sec)

N/A 0.286 2.896 1.478 0.000 0.470 0.000 0.494 0.236 0.000

Problem 186

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

147 157 62 175 0 535 0 692 916 0

N.S.

1 1.07 0.42 1.19 0.00 3.64 0.00 4.71 6.23 0.00

time (sec)

N/A 0.311 10.043 1.635 0.000 0.751 0.000 0.788 1.127 0.000

Problem 187

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

139 149 97 440 0 549 0 1013 579 0

N.S.

1 1.07 0.70 3.17 0.00 3.95 0.00 7.29 4.17 0.00

time (sec)

N/A 0.287 10.083 2.737 0.000 1.330 0.000 0.679 0.200 0.000

Problem 188

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

155 165 233 167 0 907 0 1249 1421 0

N.S.

1 1.06 1.50 1.08 0.00 5.85 0.00 8.06 9.17 0.00

time (sec)

N/A 0.312 10.338 3.668 0.000 2.174 0.000 0.563 3.096 0.000

Problem 189

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

39 39 38 38 0 270 0 1241 472 3088

N.S.

1 1.00 0.97 0.97 0.00 6.92 0.00 31.82 12.10 79.18

time (sec)

N/A 0.168 10.034 7.243 0.000 5.366 0.000 0.698 0.345 8.001

Problem 190

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

197 206 62 241 0 1441 0 2227 2079 0

N.S.

1 1.05 0.31 1.22 0.00 7.31 0.00 11.30 10.55 0.00

time (sec)

N/A 0.363 10.041 10.783 0.000 10.525 0.000 0.696 11.071 0.000

Problem 191

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

79 79 62 70 0 530 0 1843 882 5511

N.S.

1 1.00 0.78 0.89 0.00 6.71 0.00 23.33 11.16 69.76

time (sec)

N/A 0.213 10.052 19.789 0.000 15.885 0.000 1.248 0.378 9.742

Problem 192

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

239 257 62 324 0 2107 0 3431 2847 0

N.S.

1 1.08 0.26 1.36 0.00 8.82 0.00 14.36 11.91 0.00

time (sec)

N/A 0.443 10.046 33.774 0.000 24.665 0.000 1.166 30.549 0.000

Problem 193

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

118 130 110 133 0 851 0 2365 1401 9995

N.S.

1 1.10 0.93 1.13 0.00 7.21 0.00 20.04 11.87 84.70

time (sec)

N/A 0.268 10.076 58.769 0.000 49.498 0.000 1.487 0.590 15.901

Problem 194

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

117 114 100 114 0 313 549 157 255 0

N.S.

1 0.97 0.85 0.97 0.00 2.68 4.69 1.34 2.18 0.00

time (sec)

N/A 0.252 0.861 1.156 0.000 0.116 0.705 0.383 0.204 0.000

Problem 195

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

59 59 43 40 0 48 97 58 39 48

N.S.

1 1.00 0.73 0.68 0.00 0.81 1.64 0.98 0.66 0.81

time (sec)

N/A 0.199 0.472 0.953 0.000 0.097 0.092 0.385 0.178 5.760

Problem 196

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

75 75 70 66 0 195 233 76 125 0

N.S.

1 1.00 0.93 0.88 0.00 2.60 3.11 1.01 1.67 0.00

time (sec)

N/A 0.201 0.500 1.039 0.000 0.091 0.543 0.388 0.184 0.000

Problem 197

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

17 17 16 16 15 15 15 15 14 15

N.S.

1 1.00 0.94 0.94 0.88 0.88 0.88 0.88 0.82 0.88

time (sec)

N/A 0.149 0.015 0.882 0.027 0.101 0.063 0.363 0.217 5.568

Problem 198

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

55 55 77 52 0 167 0 65 131 0

N.S.

1 1.00 1.40 0.95 0.00 3.04 0.00 1.18 2.38 0.00

time (sec)

N/A 0.187 0.315 1.100 0.000 0.097 0.000 0.367 0.237 0.000

Problem 199

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

37 37 236 38 0 48 0 139 60 37

N.S.

1 1.00 6.38 1.03 0.00 1.30 0.00 3.76 1.62 1.00

time (sec)

N/A 0.169 0.853 1.169 0.000 0.104 0.000 0.375 0.244 5.734

Problem 200

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

95 95 107 97 0 433 0 267 529 0

N.S.

1 1.00 1.13 1.02 0.00 4.56 0.00 2.81 5.57 0.00

time (sec)

N/A 0.238 10.277 1.160 0.000 0.163 0.000 0.390 0.271 0.000