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 A A B B

verified

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

size

63 63 61 52 51 56 80 53 57 51

N.S.

1 1.00 0.97 0.83 0.81 0.89 1.27 0.84 0.90 0.81

time (sec)

N/A 0.319 0.042 0.361 0.029 0.079 1.649 0.175 0.236 0.062

Problem 102

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

63 63 61 52 51 56 80 53 57 51

N.S.

1 1.00 0.97 0.83 0.81 0.89 1.27 0.84 0.90 0.81

time (sec)

N/A 0.311 0.041 0.356 0.029 0.071 1.191 0.223 0.267 0.052

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

63 63 61 52 51 56 80 53 57 51

N.S.

1 1.00 0.97 0.83 0.81 0.89 1.27 0.84 0.90 0.81

time (sec)

N/A 0.309 0.035 0.352 0.031 0.074 0.863 0.201 0.330 0.052

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

63 63 61 52 51 56 66 53 57 51

N.S.

1 1.00 0.97 0.83 0.81 0.89 1.05 0.84 0.90 0.81

time (sec)

N/A 0.307 0.034 0.355 0.034 0.072 0.928 0.199 0.380 0.051

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

63 63 61 52 51 56 80 53 57 51

N.S.

1 1.00 0.97 0.83 0.81 0.89 1.27 0.84 0.90 0.81

time (sec)

N/A 0.313 0.034 0.359 0.033 0.074 0.579 0.208 0.260 0.052

Problem 106

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

63 63 61 52 51 56 80 53 57 51

N.S.

1 1.00 0.97 0.83 0.81 0.89 1.27 0.84 0.90 0.81

time (sec)

N/A 0.316 0.036 0.359 0.030 0.078 0.603 0.212 0.240 0.051

Problem 107

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

63 63 61 52 51 56 80 53 57 51

N.S.

1 1.00 0.97 0.83 0.81 0.89 1.27 0.84 0.90 0.81

time (sec)

N/A 0.310 0.036 0.335 0.041 0.075 0.684 0.200 0.262 0.052

Problem 108

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

63 63 60 52 51 54 80 53 55 51

N.S.

1 1.00 0.95 0.83 0.81 0.86 1.27 0.84 0.87 0.81

time (sec)

N/A 0.314 0.036 0.339 0.028 0.085 0.839 0.228 0.212 0.054

Problem 109

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

85 85 85 76 73 78 114 77 80 69

N.S.

1 1.00 1.00 0.89 0.86 0.92 1.34 0.91 0.94 0.81

time (sec)

N/A 0.367 0.086 0.400 0.039 0.083 2.925 0.192 0.237 0.042

Problem 110

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

85 85 85 76 73 78 114 77 80 69

N.S.

1 1.00 1.00 0.89 0.86 0.92 1.34 0.91 0.94 0.81

time (sec)

N/A 0.368 0.116 0.391 0.029 0.076 2.221 0.180 0.233 0.037

Problem 111

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

85 85 97 76 73 78 114 77 80 69

N.S.

1 1.00 1.14 0.89 0.86 0.92 1.34 0.91 0.94 0.81

time (sec)

N/A 0.355 0.053 0.388 0.052 0.086 1.614 0.231 0.189 0.036

Problem 112

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

85 85 83 76 73 78 95 77 80 69

N.S.

1 1.00 0.98 0.89 0.86 0.92 1.12 0.91 0.94 0.81

time (sec)

N/A 0.348 0.056 0.393 0.046 0.077 1.526 0.211 0.218 0.035

Problem 113

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

85 85 83 76 73 78 114 77 80 69

N.S.

1 1.00 0.98 0.89 0.86 0.92 1.34 0.91 0.94 0.81

time (sec)

N/A 0.352 0.053 0.386 0.032 0.080 1.290 0.175 0.262 0.035

Problem 114

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

85 85 83 76 73 78 114 77 80 69

N.S.

1 1.00 0.98 0.89 0.86 0.92 1.34 0.91 0.94 0.81

time (sec)

N/A 0.348 0.049 0.391 0.030 0.082 1.305 0.217 0.209 0.036

Problem 115

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

85 85 83 76 73 78 114 77 80 69

N.S.

1 1.00 0.98 0.89 0.86 0.92 1.34 0.91 0.94 0.81

time (sec)

N/A 0.347 0.045 0.390 0.037 0.078 1.413 0.212 0.191 0.036

Problem 116

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

85 85 83 76 73 78 114 77 80 69

N.S.

1 1.00 0.98 0.89 0.86 0.92 1.34 0.91 0.94 0.81

time (sec)

N/A 0.346 0.043 0.389 0.038 0.078 1.727 0.221 0.275 0.036

Problem 117

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

214 277 172 164 237 770 0 298 334 115

N.S.

1 1.29 0.80 0.77 1.11 3.60 0.00 1.39 1.56 0.54

time (sec)

N/A 0.830 0.246 0.456 0.113 0.101 0.000 0.236 0.202 0.175

Problem 118

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

213 275 173 162 259 647 0 298 332 788

N.S.

1 1.29 0.81 0.76 1.22 3.04 0.00 1.40 1.56 3.70

time (sec)

N/A 0.834 0.252 0.449 0.116 0.101 0.000 0.250 0.214 9.021

Problem 119

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

194 258 152 140 214 749 348 264 309 92

N.S.

1 1.33 0.78 0.72 1.10 3.86 1.79 1.36 1.59 0.47

time (sec)

N/A 0.771 0.195 0.447 0.119 0.092 94.011 0.227 0.189 9.044

Problem 120

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

191 256 150 138 235 597 275 263 307 789

N.S.

1 1.34 0.79 0.72 1.23 3.13 1.44 1.38 1.61 4.13

time (sec)

N/A 0.746 0.176 0.445 0.132 0.091 46.439 0.186 0.223 9.161

Problem 121

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

173 239 135 124 194 691 303 251 292 71

N.S.

1 1.38 0.78 0.72 1.12 3.99 1.75 1.45 1.69 0.41

time (sec)

N/A 0.701 0.176 0.446 0.121 0.105 18.677 0.224 0.209 9.029

Problem 122

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

172 237 134 127 218 570 238 251 289 739

N.S.

1 1.38 0.78 0.74 1.27 3.31 1.38 1.46 1.68 4.30

time (sec)

N/A 0.704 0.172 0.448 0.114 0.100 8.087 0.228 0.242 0.239

Problem 123

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

172 237 135 127 194 705 309 251 306 71

N.S.

1 1.38 0.78 0.74 1.13 4.10 1.80 1.46 1.78 0.41

time (sec)

N/A 0.718 0.215 0.438 0.125 0.111 5.242 0.204 0.234 8.988

Problem 124

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

173 239 136 124 218 590 257 251 319 811

N.S.

1 1.38 0.79 0.72 1.26 3.41 1.49 1.45 1.84 4.69

time (sec)

N/A 0.727 0.231 0.448 0.117 0.091 6.744 0.250 0.215 9.057

Problem 125

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

191 255 152 140 213 738 258 268 349 90

N.S.

1 1.34 0.80 0.73 1.12 3.86 1.35 1.40 1.83 0.47

time (sec)

N/A 0.762 0.230 0.452 0.121 0.107 36.028 0.214 0.197 8.985

Problem 126

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

194 257 154 141 247 643 303 257 349 555

N.S.

1 1.32 0.79 0.73 1.27 3.31 1.56 1.32 1.80 2.86

time (sec)

N/A 0.766 0.243 0.454 0.118 0.094 27.259 0.228 0.193 8.994

Problem 127

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

213 274 174 158 237 784 304 291 370 107

N.S.

1 1.29 0.82 0.74 1.11 3.68 1.43 1.37 1.74 0.50

time (sec)

N/A 0.790 0.280 0.452 0.130 0.108 105.566 0.232 0.210 0.178

Problem 128

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

214 276 176 160 276 672 340 291 370 563

N.S.

1 1.29 0.82 0.75 1.29 3.14 1.59 1.36 1.73 2.63

time (sec)

N/A 0.791 0.283 0.449 0.140 0.137 131.680 0.262 0.196 9.295

Problem 129

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

257 319 206 193 298 748 0 335 666 857

N.S.

1 1.24 0.80 0.75 1.16 2.91 0.00 1.30 2.59 3.33

time (sec)

N/A 0.881 0.650 0.474 0.134 0.104 0.000 0.219 0.197 9.243

Problem 130

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

235 302 184 170 247 848 0 299 641 127

N.S.

1 1.29 0.78 0.72 1.05 3.61 0.00 1.27 2.73 0.54

time (sec)

N/A 0.863 0.620 0.474 0.116 0.101 0.000 0.253 0.211 9.210

Problem 131

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

233 300 183 169 271 696 0 298 639 823

N.S.

1 1.29 0.79 0.73 1.16 2.99 0.00 1.28 2.74 3.53

time (sec)

N/A 0.865 0.524 0.470 0.116 0.110 0.000 0.201 0.208 0.216

Problem 132

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

213 283 162 153 223 793 0 283 622 106

N.S.

1 1.33 0.76 0.72 1.05 3.72 0.00 1.33 2.92 0.50

time (sec)

N/A 0.840 0.530 0.467 0.115 0.099 0.000 0.243 0.209 9.266

Problem 133

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

211 281 161 152 250 669 0 283 618 744

N.S.

1 1.33 0.76 0.72 1.18 3.17 0.00 1.34 2.93 3.53

time (sec)

N/A 0.834 0.521 0.454 0.126 0.101 0.000 0.250 0.188 9.302

Problem 134

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

200 263 152 146 217 776 0 273 607 91

N.S.

1 1.32 0.76 0.73 1.08 3.88 0.00 1.36 3.04 0.46

time (sec)

N/A 0.795 0.478 0.428 0.127 0.107 0.000 0.215 0.209 0.171

Problem 135

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

200 263 151 146 241 658 0 273 605 750

N.S.

1 1.32 0.76 0.73 1.20 3.29 0.00 1.36 3.02 3.75

time (sec)

N/A 0.779 0.514 0.432 0.127 0.105 0.000 0.252 0.197 8.988

Problem 136

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

208 280 162 153 222 789 0 278 650 104

N.S.

1 1.35 0.78 0.74 1.07 3.79 0.00 1.34 3.12 0.50

time (sec)

N/A 0.841 0.557 0.428 0.119 0.118 0.000 0.213 0.209 8.748

Problem 137

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

213 283 165 153 251 691 0 283 663 859

N.S.

1 1.33 0.77 0.72 1.18 3.24 0.00 1.33 3.11 4.03

time (sec)

N/A 0.829 0.569 0.429 0.122 0.112 0.000 0.222 0.216 9.024

Problem 138

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

232 300 187 170 250 838 0 303 693 121

N.S.

1 1.29 0.81 0.73 1.08 3.61 0.00 1.31 2.99 0.52

time (sec)

N/A 0.919 0.553 0.430 0.125 0.124 0.000 0.260 0.193 0.183

Problem 139

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

234 302 187 170 286 742 0 292 693 595

N.S.

1 1.29 0.80 0.73 1.22 3.17 0.00 1.25 2.96 2.54

time (sec)

N/A 0.874 0.645 0.430 0.118 0.104 0.000 0.253 0.188 9.450

Problem 140

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

256 319 209 190 276 886 0 328 716 142

N.S.

1 1.25 0.82 0.74 1.08 3.46 0.00 1.28 2.80 0.55

time (sec)

N/A 0.911 0.793 0.428 0.113 0.114 0.000 0.252 0.231 9.616

Problem 141

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

266 329 204 189 306 776 0 321 975 865

N.S.

1 1.24 0.77 0.71 1.15 2.92 0.00 1.21 3.67 3.25

time (sec)

N/A 0.879 0.604 0.477 0.117 0.115 0.000 0.252 0.182 0.248

Problem 142

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

244 312 184 173 256 872 0 304 958 138

N.S.

1 1.28 0.75 0.71 1.05 3.57 0.00 1.25 3.93 0.57

time (sec)

N/A 0.896 0.685 0.472 0.123 0.117 0.000 0.275 0.189 9.511

Problem 143

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

242 310 184 172 283 748 0 304 956 760

N.S.

1 1.28 0.76 0.71 1.17 3.09 0.00 1.26 3.95 3.14

time (sec)

N/A 0.872 0.637 0.476 0.131 0.119 0.000 0.239 0.212 9.629

Problem 144

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

230 292 171 166 251 871 0 293 945 122

N.S.

1 1.27 0.74 0.72 1.09 3.79 0.00 1.27 4.11 0.53

time (sec)

N/A 0.812 0.699 0.448 0.115 0.106 0.000 0.228 0.206 9.398

Problem 145

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

233 293 173 167 280 763 0 298 943 799

N.S.

1 1.26 0.74 0.72 1.20 3.27 0.00 1.28 4.05 3.43

time (sec)

N/A 0.829 0.664 0.406 0.127 0.111 0.000 0.221 0.196 9.139

Problem 146

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

236 293 175 168 253 878 0 298 945 124

N.S.

1 1.24 0.74 0.71 1.07 3.72 0.00 1.26 4.00 0.53

time (sec)

N/A 0.836 0.643 0.400 0.123 0.105 0.000 0.219 0.194 8.953

Problem 147

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

232 292 172 166 276 749 0 293 943 780

N.S.

1 1.26 0.74 0.72 1.19 3.23 0.00 1.26 4.06 3.36

time (sec)

N/A 0.802 0.648 0.402 0.131 0.107 0.000 0.185 0.220 0.336

Problem 148

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

238 309 187 173 255 870 0 300 1000 133

N.S.

1 1.30 0.79 0.73 1.07 3.66 0.00 1.26 4.20 0.56

time (sec)

N/A 0.905 0.704 0.434 0.124 0.105 0.000 0.192 0.219 0.190

Problem 149

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

243 312 187 173 285 770 0 304 1011 888

N.S.

1 1.28 0.77 0.71 1.17 3.17 0.00 1.25 4.16 3.65

time (sec)

N/A 0.873 0.632 0.431 0.126 0.103 0.000 0.224 0.203 9.548

Problem 150

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

263 329 209 190 285 918 0 326 1041 152

N.S.

1 1.25 0.79 0.72 1.08 3.49 0.00 1.24 3.96 0.58

time (sec)

N/A 0.935 0.666 0.443 0.137 0.098 0.000 0.179 0.222 9.280

Problem 151

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

265 331 210 190 321 822 0 315 1041 626

N.S.

1 1.25 0.79 0.72 1.21 3.10 0.00 1.19 3.93 2.36

time (sec)

N/A 0.907 0.729 0.433 0.130 0.105 0.000 0.220 0.228 9.278

Problem 152

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

288 348 231 210 311 966 0 351 1064 173

N.S.

1 1.21 0.80 0.73 1.08 3.35 0.00 1.22 3.69 0.60

time (sec)

N/A 0.951 0.695 0.443 0.134 0.100 0.000 0.209 0.212 9.204

Problem 153

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

288 350 231 210 353 854 0 351 1064 639

N.S.

1 1.22 0.80 0.73 1.23 2.97 0.00 1.22 3.69 2.22

time (sec)

N/A 0.957 0.688 0.437 0.140 0.097 0.000 0.223 0.258 9.603

Problem 154

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

218 214 189 178 321 368 345 245 261 289

N.S.

1 0.98 0.87 0.82 1.47 1.69 1.58 1.12 1.20 1.33

time (sec)

N/A 0.683 0.910 0.524 0.043 0.179 0.732 0.224 0.296 10.100

Problem 155

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

181 180 170 159 273 321 318 211 222 233

N.S.

1 0.99 0.94 0.88 1.51 1.77 1.76 1.17 1.23 1.29

time (sec)

N/A 0.640 0.664 0.477 0.046 0.133 0.670 0.189 0.319 9.817

Problem 156

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

125 128 147 140 225 272 287 177 183 177

N.S.

1 1.02 1.18 1.12 1.80 2.18 2.30 1.42 1.46 1.42

time (sec)

N/A 0.474 0.573 0.483 0.041 0.105 0.655 0.202 0.230 9.955

Problem 157

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

107 111 126 116 177 223 255 140 144 140

N.S.

1 1.04 1.18 1.08 1.65 2.08 2.38 1.31 1.35 1.31

time (sec)

N/A 0.433 0.394 0.456 0.040 0.103 0.623 0.216 0.200 10.159

Problem 158

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

100 94 97 91 128 172 0 103 104 117

N.S.

1 0.94 0.97 0.91 1.28 1.72 0.00 1.03 1.04 1.17

time (sec)

N/A 0.451 0.123 0.445 0.042 0.106 0.000 0.206 0.187 9.971

Problem 159

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

97 89 87 83 105 161 0 87 104 0

N.S.

1 0.92 0.90 0.86 1.08 1.66 0.00 0.90 1.07 0.00

time (sec)

N/A 0.452 0.173 0.460 0.040 0.103 0.000 0.239 0.221 0.000

Problem 160

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

80 86 99 86 96 160 0 163 99 0

N.S.

1 1.08 1.24 1.08 1.20 2.00 0.00 2.04 1.24 0.00

time (sec)

N/A 0.456 0.108 0.453 0.037 0.101 0.000 0.344 0.204 0.000

Problem 161

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

61 65 44 47 111 59 0 250 111 113

N.S.

1 1.07 0.72 0.77 1.82 0.97 0.00 4.10 1.82 1.85

time (sec)

N/A 0.398 0.103 0.422 0.044 0.097 0.000 0.622 0.186 9.741

Problem 162

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

96 99 66 66 161 85 0 310 152 160

N.S.

1 1.03 0.69 0.69 1.68 0.89 0.00 3.23 1.58 1.67

time (sec)

N/A 0.453 0.146 0.431 0.041 0.099 0.000 0.761 0.195 9.797

Problem 163

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

133 133 88 84 209 109 0 370 191 210

N.S.

1 1.00 0.66 0.63 1.57 0.82 0.00 2.78 1.44 1.58

time (sec)

N/A 0.517 0.164 0.442 0.041 0.110 0.000 1.150 0.213 10.006

Problem 164

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

170 167 110 104 257 133 0 430 230 260

N.S.

1 0.98 0.65 0.61 1.51 0.78 0.00 2.53 1.35 1.53

time (sec)

N/A 0.596 0.196 0.438 0.041 0.160 0.000 1.847 0.213 10.937

Problem 165

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

131 127 82 91 106 106 0 140 97 103

N.S.

1 0.97 0.63 0.69 0.81 0.81 0.00 1.07 0.74 0.79

time (sec)

N/A 0.478 0.071 0.865 0.042 0.098 0.000 0.204 0.210 9.765

Problem 166

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

94 93 64 67 83 82 0 105 74 83

N.S.

1 0.99 0.68 0.71 0.88 0.87 0.00 1.12 0.79 0.88

time (sec)

N/A 0.417 0.048 0.747 0.054 0.087 0.000 0.182 0.182 9.618

Problem 167

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

61 61 41 45 51 57 0 72 50 60

N.S.

1 1.00 0.67 0.74 0.84 0.93 0.00 1.18 0.82 0.98

time (sec)

N/A 0.325 0.041 0.668 0.041 0.087 0.000 0.161 0.233 9.650

Problem 168

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

78 79 84 84 0 154 0 116 100 99

N.S.

1 1.01 1.08 1.08 0.00 1.97 0.00 1.49 1.28 1.27

time (sec)

N/A 0.390 0.094 0.675 0.000 0.096 0.000 0.186 0.193 9.639

Problem 169

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

100 92 94 95 0 164 0 78 162 0

N.S.

1 0.92 0.94 0.95 0.00 1.64 0.00 0.78 1.62 0.00

time (sec)

N/A 0.422 0.121 0.763 0.000 0.111 0.000 0.210 0.192 0.000

Problem 170

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

103 99 106 103 0 193 0 132 186 0

N.S.

1 0.96 1.03 1.00 0.00 1.87 0.00 1.28 1.81 0.00

time (sec)

N/A 0.427 0.133 0.866 0.000 0.111 0.000 0.219 0.195 0.000

Problem 171

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

223 221 248 197 363 418 726 280 300 0

N.S.

1 0.99 1.11 0.88 1.63 1.87 3.26 1.26 1.35 0.00

time (sec)

N/A 0.694 1.222 0.486 0.042 0.253 1.289 0.185 0.309 0.000

Problem 172

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

167 169 226 178 315 369 672 246 261 0

N.S.

1 1.01 1.35 1.07 1.89 2.21 4.02 1.47 1.56 0.00

time (sec)

N/A 0.571 0.989 0.476 0.049 0.183 1.094 0.183 0.231 0.000

Problem 173

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

148 152 199 159 267 316 614 207 222 236

N.S.

1 1.03 1.34 1.07 1.80 2.14 4.15 1.40 1.50 1.59

time (sec)

N/A 0.491 0.756 0.468 0.042 0.130 0.962 0.219 0.210 9.848

Problem 174

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

144 140 157 140 216 275 551 178 183 0

N.S.

1 0.97 1.09 0.97 1.50 1.91 3.83 1.24 1.27 0.00

time (sec)

N/A 0.533 0.595 0.471 0.041 0.104 4.304 0.198 0.206 0.000

Problem 175

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

137 134 124 116 168 224 0 142 144 0

N.S.

1 0.98 0.91 0.85 1.23 1.64 0.00 1.04 1.05 0.00

time (sec)

N/A 0.543 0.200 0.472 0.042 0.097 0.000 0.216 0.211 0.000

Problem 176

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

128 117 116 101 148 209 0 121 143 0

N.S.

1 0.91 0.91 0.79 1.16 1.63 0.00 0.95 1.12 0.00

time (sec)

N/A 0.522 0.322 0.469 0.040 0.090 0.000 0.298 0.203 0.000

Problem 177

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

133 120 120 101 167 189 0 225 131 0

N.S.

1 0.90 0.90 0.76 1.26 1.42 0.00 1.69 0.98 0.00

time (sec)

N/A 0.558 0.231 0.463 0.044 0.091 0.000 0.363 0.204 0.000

Problem 178

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

104 111 110 107 177 207 0 254 141 0

N.S.

1 1.07 1.06 1.03 1.70 1.99 0.00 2.44 1.36 0.00

time (sec)

N/A 0.490 0.177 0.470 0.049 0.090 0.000 0.695 0.205 0.000

Problem 179

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

61 65 44 48 193 82 0 370 152 156

N.S.

1 1.07 0.72 0.79 3.16 1.34 0.00 6.07 2.49 2.56

time (sec)

N/A 0.401 0.168 0.432 0.042 0.087 0.000 1.158 0.227 10.294

Problem 180

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

96 99 66 68 241 109 0 430 191 206

N.S.

1 1.03 0.69 0.71 2.51 1.14 0.00 4.48 1.99 2.15

time (sec)

N/A 0.457 0.209 0.473 0.050 0.102 0.000 1.455 0.194 10.580

Problem 181

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

133 133 89 87 289 134 0 490 230 256

N.S.

1 1.00 0.67 0.65 2.17 1.01 0.00 3.68 1.73 1.92

time (sec)

N/A 0.543 0.252 0.445 0.047 0.135 0.000 1.650 0.201 11.103

Problem 182

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

170 167 110 106 337 157 0 550 269 306

N.S.

1 0.98 0.65 0.62 1.98 0.92 0.00 3.24 1.58 1.80

time (sec)

N/A 0.607 0.285 0.461 0.050 0.184 0.000 2.056 0.250 11.829

Problem 183

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

207 201 132 124 385 181 0 582 308 356

N.S.

1 0.97 0.64 0.60 1.86 0.87 0.00 2.81 1.49 1.72

time (sec)

N/A 0.677 0.339 0.488 0.052 0.299 0.000 2.113 0.210 12.425

Problem 184

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

168 161 113 115 150 154 0 175 143 143

N.S.

1 0.96 0.67 0.68 0.89 0.92 0.00 1.04 0.85 0.85

time (sec)

N/A 0.582 0.092 0.857 0.043 0.103 0.000 0.209 0.188 9.296

Problem 185

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

131 127 94 91 128 131 0 140 120 124

N.S.

1 0.97 0.72 0.69 0.98 1.00 0.00 1.07 0.92 0.95

time (sec)

N/A 0.501 0.086 0.739 0.049 0.098 0.000 0.218 0.188 9.432

Problem 186

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

96 95 70 67 105 106 0 105 97 103

N.S.

1 0.99 0.73 0.70 1.09 1.10 0.00 1.09 1.01 1.07

time (sec)

N/A 0.406 0.056 0.665 0.046 0.089 0.000 0.163 0.203 8.911

Problem 187

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

61 61 41 45 80 80 0 72 73 83

N.S.

1 1.00 0.67 0.74 1.31 1.31 0.00 1.18 1.20 1.36

time (sec)

N/A 0.353 0.036 0.669 0.045 0.083 0.000 0.224 0.195 9.154

Problem 188

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

102 104 108 99 0 201 0 140 141 0

N.S.

1 1.02 1.06 0.97 0.00 1.97 0.00 1.37 1.38 0.00

time (sec)

N/A 0.461 0.126 0.751 0.000 0.097 0.000 0.182 0.204 0.000

Problem 189

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

133 118 109 149 0 190 0 124 190 0

N.S.

1 0.89 0.82 1.12 0.00 1.43 0.00 0.93 1.43 0.00

time (sec)

N/A 0.532 0.145 0.886 0.000 0.111 0.000 0.279 0.207 0.000

Problem 190

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

135 120 114 117 0 212 0 145 204 0

N.S.

1 0.89 0.84 0.87 0.00 1.57 0.00 1.07 1.51 0.00

time (sec)

N/A 0.486 0.169 1.026 0.000 0.107 0.000 0.262 0.217 0.000

Problem 191

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

140 127 132 128 0 245 0 158 228 0

N.S.

1 0.91 0.94 0.91 0.00 1.75 0.00 1.13 1.63 0.00

time (sec)

N/A 0.490 0.216 1.207 0.000 0.122 0.000 0.293 0.225 0.000

Problem 192

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

177 158 154 153 0 294 0 214 267 0

N.S.

1 0.89 0.87 0.86 0.00 1.66 0.00 1.21 1.51 0.00

time (sec)

N/A 0.592 0.280 1.451 0.000 0.122 0.000 0.269 0.221 0.000

Problem 193

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

214 192 172 176 0 340 0 210 306 0

N.S.

1 0.90 0.80 0.82 0.00 1.59 0.00 0.98 1.43 0.00

time (sec)

N/A 0.656 0.372 1.731 0.000 0.152 0.000 0.271 0.270 0.000

Problem 194

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

251 226 198 201 0 388 0 294 345 0

N.S.

1 0.90 0.79 0.80 0.00 1.55 0.00 1.17 1.37 0.00

time (sec)

N/A 0.777 0.386 2.122 0.000 0.198 0.000 0.261 0.358 0.000

Problem 195

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

176 168 155 140 231 275 224 184 183 0

N.S.

1 0.95 0.88 0.80 1.31 1.56 1.27 1.05 1.04 0.00

time (sec)

N/A 0.602 0.513 0.471 0.040 0.123 0.839 0.204 0.198 0.000

Problem 196

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

139 134 133 121 183 226 201 150 144 0

N.S.

1 0.96 0.96 0.87 1.32 1.63 1.45 1.08 1.04 0.00

time (sec)

N/A 0.544 0.418 0.461 0.040 0.111 0.798 0.240 0.186 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 F(-1)

verified

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

size

83 87 108 100 134 177 170 112 105 0

N.S.

1 1.05 1.30 1.20 1.61 2.13 2.05 1.35 1.27 0.00

time (sec)

N/A 0.413 0.290 0.451 0.037 0.098 0.795 0.223 0.236 0.000

Problem 198

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

66 65 91 84 88 131 139 77 69 89

N.S.

1 0.98 1.38 1.27 1.33 1.98 2.11 1.17 1.05 1.35

time (sec)

N/A 0.364 0.170 0.445 0.041 0.102 0.798 0.224 0.189 9.537

Problem 199

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

57 62 77 67 56 136 0 66 56 57

N.S.

1 1.09 1.35 1.18 0.98 2.39 0.00 1.16 0.98 1.00

time (sec)

N/A 0.386 0.078 0.450 0.037 0.097 0.000 0.247 0.183 9.191

Problem 200

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

61 65 43 40 70 38 0 124 70 39

N.S.

1 1.07 0.70 0.66 1.15 0.62 0.00 2.03 1.15 0.64

time (sec)

N/A 0.394 0.086 0.425 0.043 0.096 0.000 0.316 0.224 8.920