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2.2.2 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 Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

146 139 132 237 0 218 0 0 0

N.S.

1 0.95 0.90 1.62 0.00 1.49 0.00 0.00 0.00

time (sec)

N/A 0.437 0.318 0.178 0.000 0.287 0.000 0.000 0.000

Problem 102

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

139 166 166 897 0 0 0 0 0

N.S.

1 1.19 1.19 6.45 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.750 0.491 0.171 0.000 0.000 0.000 0.000 0.000

Problem 103

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

105 104 93 157 138 187 0 0 0

N.S.

1 0.99 0.89 1.50 1.31 1.78 0.00 0.00 0.00

time (sec)

N/A 0.374 0.281 0.170 0.290 0.301 0.000 0.000 0.000

Problem 104

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

80 74 88 729 137 0 0 0 0

N.S.

1 0.92 1.10 9.11 1.71 0.00 0.00 0.00 0.00

time (sec)

N/A 0.345 0.256 0.193 0.223 0.000 0.000 0.000 0.000

Problem 105

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

75 74 72 121 0 165 0 0 0

N.S.

1 0.99 0.96 1.61 0.00 2.20 0.00 0.00 0.00

time (sec)

N/A 0.278 0.215 0.168 0.000 0.310 0.000 0.000 0.000

Problem 106

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

108 113 100 619 126 0 0 0 0

N.S.

1 1.05 0.93 5.73 1.17 0.00 0.00 0.00 0.00

time (sec)

N/A 0.386 0.150 0.196 0.211 0.000 0.000 0.000 0.000

Problem 107

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

148 169 209 208 0 0 0 0 0

N.S.

1 1.14 1.41 1.41 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.926 0.703 0.229 0.000 0.000 0.000 0.000 0.000

Problem 108

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

150 140 125 778 0 0 0 0 0

N.S.

1 0.93 0.83 5.19 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.463 0.409 0.182 0.000 0.000 0.000 0.000 0.000

Problem 109

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

247 256 331 314 0 0 0 0 0

N.S.

1 1.04 1.34 1.27 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.349 4.107 0.178 0.000 0.000 0.000 0.000 0.000

Problem 110

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

208 188 239 1155 236 0 0 0 0

N.S.

1 0.90 1.15 5.55 1.13 0.00 0.00 0.00 0.00

time (sec)

N/A 0.642 0.398 0.169 0.218 0.000 0.000 0.000 0.000

Problem 111

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

200 213 121 363 143 0 0 124 0

N.S.

1 1.06 0.60 1.82 0.72 0.00 0.00 0.62 0.00

time (sec)

N/A 0.573 0.145 0.277 0.221 0.000 0.000 0.338 0.000

Problem 112

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

86 94 63 74 83 83 82 0 0

N.S.

1 1.09 0.73 0.86 0.97 0.97 0.95 0.00 0.00

time (sec)

N/A 0.479 0.038 0.158 0.202 0.270 0.500 0.000 0.000

Problem 113

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

70 73 48 82 59 55 65 0 0

N.S.

1 1.04 0.69 1.17 0.84 0.79 0.93 0.00 0.00

time (sec)

N/A 0.356 0.032 0.209 0.199 0.254 0.357 0.000 0.000

Problem 114

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

49 49 42 40 55 62 42 0 0

N.S.

1 1.00 0.86 0.82 1.12 1.27 0.86 0.00 0.00

time (sec)

N/A 0.334 0.048 0.204 0.200 0.270 0.337 0.000 0.000

Problem 115

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

28 28 28 47 26 38 24 38 0

N.S.

1 1.00 1.00 1.68 0.93 1.36 0.86 1.36 0.00

time (sec)

N/A 0.221 0.038 0.222 0.194 0.268 0.240 0.292 0.000

Problem 116

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A B A F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

13 13 13 12 11 23 10 0 11

N.S.

1 1.00 1.00 0.92 0.85 1.77 0.77 0.00 0.85

time (sec)

N/A 0.193 0.008 0.234 0.193 0.263 0.198 0.000 2.398

Problem 117

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

34 46 57 89 0 0 0 0 0

N.S.

1 1.35 1.68 2.62 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.357 0.109 0.231 0.000 0.000 0.000 0.000 0.000

Problem 118

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

27 27 29 56 25 39 0 71 0

N.S.

1 1.00 1.07 2.07 0.93 1.44 0.00 2.63 0.00

time (sec)

N/A 0.230 0.049 0.244 0.192 0.256 0.000 0.302 0.000

Problem 119

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

80 84 126 150 0 0 0 0 0

N.S.

1 1.05 1.58 1.88 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.517 0.555 0.200 0.000 0.000 0.000 0.000 0.000

Problem 120

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

175 124 120 578 134 158 0 0 0

N.S.

1 0.71 0.69 3.30 0.77 0.90 0.00 0.00 0.00

time (sec)

N/A 0.382 0.128 0.271 0.206 0.271 0.000 0.000 0.000

Problem 121

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

181 158 129 338 0 0 0 0 0

N.S.

1 0.87 0.71 1.87 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.612 0.617 0.175 0.000 0.000 0.000 0.000 0.000

Problem 122

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

105 80 92 321 73 127 0 0 0

N.S.

1 0.76 0.88 3.06 0.70 1.21 0.00 0.00 0.00

time (sec)

N/A 0.292 0.109 0.232 0.204 0.271 0.000 0.000 0.000

Problem 123

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

111 111 120 256 0 0 0 0 0

N.S.

1 1.00 1.08 2.31 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.349 0.400 0.166 0.000 0.000 0.000 0.000 0.000

Problem 124

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

177 135 168 331 0 0 0 0 0

N.S.

1 0.76 0.95 1.87 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.644 0.401 0.203 0.000 0.000 0.000 0.000 0.000

Problem 125

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

105 105 129 251 0 0 0 0 0

N.S.

1 1.00 1.23 2.39 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.412 0.342 0.209 0.000 0.000 0.000 0.000 0.000

Problem 126

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

201 150 223 334 0 0 0 0 0

N.S.

1 0.75 1.11 1.66 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.680 2.252 0.184 0.000 0.000 0.000 0.000 0.000

Problem 127

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

106 80 117 137 133 217 0 0 0

N.S.

1 0.75 1.10 1.29 1.25 2.05 0.00 0.00 0.00

time (sec)

N/A 0.314 0.330 0.199 0.199 0.284 0.000 0.000 0.000

Problem 128

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

217 135 130 872 145 199 0 0 0

N.S.

1 0.62 0.60 4.02 0.67 0.92 0.00 0.00 0.00

time (sec)

N/A 0.412 0.194 0.216 0.205 0.266 0.000 0.000 0.000

Problem 129

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

254 245 251 799 0 0 0 0 0

N.S.

1 0.96 0.99 3.15 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.906 0.640 0.219 0.000 0.000 0.000 0.000 0.000

Problem 130

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

146 91 102 559 85 167 0 0 0

N.S.

1 0.62 0.70 3.83 0.58 1.14 0.00 0.00 0.00

time (sec)

N/A 0.296 0.134 0.204 0.197 0.275 0.000 0.000 0.000

Problem 131

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

180 196 200 496 0 0 0 0 0

N.S.

1 1.09 1.11 2.76 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.556 0.696 0.182 0.000 0.000 0.000 0.000 0.000

Problem 132

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

249 210 248 428 0 0 0 0 0

N.S.

1 0.84 1.00 1.72 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.973 0.631 0.270 0.000 0.000 0.000 0.000 0.000

Problem 133

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

177 189 200 230 0 0 0 0 0

N.S.

1 1.07 1.13 1.30 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.624 0.834 0.249 0.000 0.000 0.000 0.000 0.000

Problem 134

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

270 218 352 289 0 0 0 0 0

N.S.

1 0.81 1.30 1.07 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.997 3.471 0.237 0.000 0.000 0.000 0.000 0.000

Problem 135

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

184 188 217 257 0 0 0 0 0

N.S.

1 1.02 1.18 1.40 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.691 0.634 0.249 0.000 0.000 0.000 0.000 0.000

Problem 136

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

266 145 140 996 156 263 0 0 0

N.S.

1 0.55 0.53 3.74 0.59 0.99 0.00 0.00 0.00

time (sec)

N/A 0.421 0.229 0.230 0.220 0.276 0.000 0.000 0.000

Problem 137

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

337 344 388 1165 0 0 0 0 0

N.S.

1 1.02 1.15 3.46 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.331 0.896 0.224 0.000 0.000 0.000 0.000 0.000

Problem 138

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

193 100 112 863 96 225 0 0 0

N.S.

1 0.52 0.58 4.47 0.50 1.17 0.00 0.00 0.00

time (sec)

N/A 0.302 0.152 0.216 0.207 0.274 0.000 0.000 0.000

Problem 139

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

254 267 317 801 0 0 0 0 0

N.S.

1 1.05 1.25 3.15 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.752 0.664 0.185 0.000 0.000 0.000 0.000 0.000

Problem 140

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

329 297 339 540 0 0 0 0 0

N.S.

1 0.90 1.03 1.64 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.368 0.712 0.244 0.000 0.000 0.000 0.000 0.000

Problem 141

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

257 289 270 285 0 0 0 0 0

N.S.

1 1.12 1.05 1.11 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.891 1.332 0.201 0.000 0.000 0.000 0.000 0.000

Problem 142

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

355 306 424 339 0 0 0 0 0

N.S.

1 0.86 1.19 0.95 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.436 6.407 0.243 0.000 0.000 0.000 0.000 0.000

Problem 143

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

266 285 286 322 0 0 0 0 0

N.S.

1 1.07 1.08 1.21 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.989 0.992 0.224 0.000 0.000 0.000 0.000 0.000

Problem 144

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

32 32 28 26 28 40 0 0 0

N.S.

1 1.00 0.88 0.81 0.88 1.25 0.00 0.00 0.00

time (sec)

N/A 0.241 0.007 0.232 0.282 0.255 0.000 0.000 0.000

Problem 145

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

215 226 119 625 174 161 0 0 0

N.S.

1 1.05 0.55 2.91 0.81 0.75 0.00 0.00 0.00

time (sec)

N/A 0.668 0.173 0.217 0.212 0.273 0.000 0.000 0.000

Problem 146

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

192 200 151 519 0 0 0 0 0

N.S.

1 1.04 0.79 2.70 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.645 0.691 0.205 0.000 0.000 0.000 0.000 0.000

Problem 147

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

142 145 93 358 117 132 0 0 0

N.S.

1 1.02 0.65 2.52 0.82 0.93 0.00 0.00 0.00

time (sec)

N/A 0.449 0.140 0.196 0.204 0.272 0.000 0.000 0.000

Problem 148

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

119 119 121 273 0 0 0 0 0

N.S.

1 1.00 1.02 2.29 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.405 0.656 0.211 0.000 0.000 0.000 0.000 0.000

Problem 149

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

64 64 74 148 55 96 0 0 0

N.S.

1 1.00 1.16 2.31 0.86 1.50 0.00 0.00 0.00

time (sec)

N/A 0.246 0.152 0.236 0.207 0.283 0.000 0.000 0.000

Problem 150

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

47 47 76 77 28 0 0 0 0

N.S.

1 1.00 1.62 1.64 0.60 0.00 0.00 0.00 0.00

time (sec)

N/A 0.210 0.078 0.206 0.208 0.000 0.000 0.000 0.000

Problem 151

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

122 79 129 233 0 0 0 0 0

N.S.

1 0.65 1.06 1.91 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.421 0.292 0.249 0.000 0.000 0.000 0.000 0.000

Problem 152

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

63 63 77 169 101 132 0 0 0

N.S.

1 1.00 1.22 2.68 1.60 2.10 0.00 0.00 0.00

time (sec)

N/A 0.277 0.192 0.235 0.209 0.284 0.000 0.000 0.000

Problem 153

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

203 153 229 333 0 0 0 0 0

N.S.

1 0.75 1.13 1.64 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.667 2.285 0.203 0.000 0.000 0.000 0.000 0.000

Problem 154

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

141 139 131 166 121 222 0 0 0

N.S.

1 0.99 0.93 1.18 0.86 1.57 0.00 0.00 0.00

time (sec)

N/A 0.471 0.235 0.221 0.205 0.300 0.000 0.000 0.000

Problem 155

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

212 154 174 238 0 197 0 0 0

N.S.

1 0.73 0.82 1.12 0.00 0.93 0.00 0.00 0.00

time (sec)

N/A 0.461 0.398 0.230 0.000 0.307 0.000 0.000 0.000

Problem 156

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

206 222 161 274 0 0 0 0 0

N.S.

1 1.08 0.78 1.33 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.762 0.550 0.244 0.000 0.000 0.000 0.000 0.000

Problem 157

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

136 105 130 176 119 166 0 0 0

N.S.

1 0.77 0.96 1.29 0.88 1.22 0.00 0.00 0.00

time (sec)

N/A 0.369 0.355 0.231 0.280 0.288 0.000 0.000 0.000

Problem 158

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

130 130 146 232 0 0 0 0 0

N.S.

1 1.00 1.12 1.78 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.436 0.331 0.195 0.000 0.000 0.000 0.000 0.000

Problem 159

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

70 70 86 125 0 128 0 0 0

N.S.

1 1.00 1.23 1.79 0.00 1.83 0.00 0.00 0.00

time (sec)

N/A 0.272 0.264 0.240 0.000 0.300 0.000 0.000 0.000

Problem 160

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

76 76 100 143 58 0 0 0 0

N.S.

1 1.00 1.32 1.88 0.76 0.00 0.00 0.00 0.00

time (sec)

N/A 0.241 0.174 0.177 0.209 0.000 0.000 0.000 0.000

Problem 161

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

194 146 231 271 0 0 0 0 0

N.S.

1 0.75 1.19 1.40 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.684 0.683 0.237 0.000 0.000 0.000 0.000 0.000

Problem 162

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

143 113 163 239 119 0 0 0 0

N.S.

1 0.79 1.14 1.67 0.83 0.00 0.00 0.00 0.00

time (sec)

N/A 0.381 0.605 0.194 0.202 0.000 0.000 0.000 0.000

Problem 163

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

287 235 369 342 0 0 0 0 0

N.S.

1 0.82 1.29 1.19 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.059 6.182 0.224 0.000 0.000 0.000 0.000 0.000

Problem 164

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

228 167 216 968 0 0 0 0 0

N.S.

1 0.73 0.95 4.25 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.481 0.324 0.224 0.000 0.000 0.000 0.000 0.000

Problem 165

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

281 345 222 410 0 0 0 0 0

N.S.

1 1.23 0.79 1.46 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.203 0.936 0.253 0.000 0.000 0.000 0.000 0.000

Problem 166

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

210 164 177 400 0 219 0 0 0

N.S.

1 0.78 0.84 1.90 0.00 1.04 0.00 0.00 0.00

time (sec)

N/A 0.452 0.417 0.262 0.000 0.298 0.000 0.000 0.000

Problem 167

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

203 241 191 345 0 0 0 0 0

N.S.

1 1.19 0.94 1.70 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.812 0.576 0.217 0.000 0.000 0.000 0.000 0.000

Problem 168

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

144 129 136 263 138 188 0 0 0

N.S.

1 0.90 0.94 1.83 0.96 1.31 0.00 0.00 0.00

time (sec)

N/A 0.390 0.363 0.190 0.278 0.299 0.000 0.000 0.000

Problem 169

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

119 99 118 413 137 0 0 0 0

N.S.

1 0.83 0.99 3.47 1.15 0.00 0.00 0.00 0.00

time (sec)

N/A 0.356 0.281 0.255 0.204 0.000 0.000 0.000 0.000

Problem 170

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

114 99 103 198 0 166 0 0 0

N.S.

1 0.87 0.90 1.74 0.00 1.46 0.00 0.00 0.00

time (sec)

N/A 0.293 0.286 0.192 0.000 0.286 0.000 0.000 0.000

Problem 171

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

147 152 143 425 126 0 0 0 0

N.S.

1 1.03 0.97 2.89 0.86 0.00 0.00 0.00 0.00

time (sec)

N/A 0.402 0.188 0.276 0.203 0.000 0.000 0.000 0.000

Problem 172

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

262 244 247 364 0 0 0 0 0

N.S.

1 0.93 0.94 1.39 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.045 1.001 0.245 0.000 0.000 0.000 0.000 0.000

Problem 173

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

214 165 227 1257 0 0 0 0 0

N.S.

1 0.77 1.06 5.87 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.490 0.329 0.248 0.000 0.000 0.000 0.000 0.000

Problem 174

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

400 356 409 406 0 0 0 0 0

N.S.

1 0.89 1.02 1.02 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.583 5.360 0.231 0.000 0.000 0.000 0.000 0.000

Problem 175

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

297 213 267 372 236 0 0 0 0

N.S.

1 0.72 0.90 1.25 0.79 0.00 0.00 0.00 0.00

time (sec)

N/A 0.642 0.360 0.216 0.216 0.000 0.000 0.000 0.000

Problem 176

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

200 213 121 363 143 0 0 124 0

N.S.

1 1.06 0.60 1.82 0.72 0.00 0.00 0.62 0.00

time (sec)

N/A 0.533 0.083 0.184 0.203 0.000 0.000 0.330 0.000

Problem 177

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

86 94 63 74 83 83 82 0 0

N.S.

1 1.09 0.73 0.86 0.97 0.97 0.95 0.00 0.00

time (sec)

N/A 0.468 0.023 0.209 0.203 0.272 0.417 0.000 0.000

Problem 178

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

70 73 48 82 59 55 65 0 0

N.S.

1 1.04 0.69 1.17 0.84 0.79 0.93 0.00 0.00

time (sec)

N/A 0.355 0.020 0.232 0.191 0.271 0.351 0.000 0.000

Problem 179

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

49 49 42 40 55 62 42 0 0

N.S.

1 1.00 0.86 0.82 1.12 1.27 0.86 0.00 0.00

time (sec)

N/A 0.321 0.013 0.199 0.192 0.258 0.299 0.000 0.000

Problem 180

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

28 28 28 47 26 38 24 38 0

N.S.

1 1.00 1.00 1.68 0.93 1.36 0.86 1.36 0.00

time (sec)

N/A 0.212 0.010 0.243 0.196 0.267 0.232 0.284 0.000

Problem 181

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A B A F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

13 13 13 12 11 23 10 0 11

N.S.

1 1.00 1.00 0.92 0.85 1.77 0.77 0.00 0.85

time (sec)

N/A 0.184 0.001 0.228 0.193 0.277 0.204 0.000 0.002

Problem 182

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

34 46 57 89 0 0 0 0 0

N.S.

1 1.35 1.68 2.62 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.350 0.092 0.201 0.000 0.000 0.000 0.000 0.000

Problem 183

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

27 27 29 56 25 39 0 71 0

N.S.

1 1.00 1.07 2.07 0.93 1.44 0.00 2.63 0.00

time (sec)

N/A 0.228 0.011 0.211 0.216 0.274 0.000 0.300 0.000

Problem 184

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

80 84 126 150 0 0 0 0 0

N.S.

1 1.05 1.58 1.88 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.510 0.114 0.250 0.000 0.000 0.000 0.000 0.000

Problem 185

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

313 320 257 0 0 0 0 0 0

N.S.

1 1.02 0.82 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.809 0.352 0.000 0.000 0.000 0.000 0.000 0.000

Problem 186

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

217 215 188 0 0 0 0 0 0

N.S.

1 0.99 0.87 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.515 0.013 0.000 0.000 0.000 0.000 0.000 0.000

Problem 187

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

128 126 118 0 0 0 0 0 0

N.S.

1 0.98 0.92 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.336 0.033 0.000 0.000 0.000 0.000 0.000 0.000

Problem 188

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A N/A N/A N/A N/A N/A N/A N/A N/A

verified

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

size

24 24 26 24 26 26 36 26 26

N.S.

1 1.00 1.08 1.00 1.08 1.08 1.50 1.08 1.08

time (sec)

N/A 0.248 3.334 0.260 0.298 0.280 2.258 0.287 2.577

Problem 189

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A N/A N/A N/A N/A N/A N/A N/A N/A

verified

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

size

24 24 26 24 26 41 54 26 26

N.S.

1 1.00 1.08 1.00 1.08 1.71 2.25 1.08 1.08

time (sec)

N/A 0.448 4.911 0.283 0.283 0.269 16.142 0.278 2.735

Problem 190

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A N/A N/A N/A N/A N/A N/A N/A N/A

verified

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

size

24 24 26 24 26 52 71 26 26

N.S.

1 1.00 1.08 1.00 1.08 2.17 2.96 1.08 1.08

time (sec)

N/A 0.660 5.239 0.286 0.283 0.284 117.915 0.291 2.706

Problem 191

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

618 442 332 0 0 0 0 0 0

N.S.

1 0.72 0.54 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.312 0.904 0.000 0.000 0.000 0.000 0.000 0.000

Problem 192

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

390 320 233 0 0 0 0 0 0

N.S.

1 0.82 0.60 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.873 0.370 0.000 0.000 0.000 0.000 0.000 0.000

Problem 193

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

240 215 179 0 0 0 0 0 0

N.S.

1 0.90 0.75 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.530 0.049 0.000 0.000 0.000 0.000 0.000 0.000

Problem 194

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

161 161 129 0 0 0 0 0 0

N.S.

1 1.00 0.80 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.337 0.044 0.000 0.000 0.000 0.000 0.000 0.000

Problem 195

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

268 267 206 0 0 0 0 0 0

N.S.

1 1.00 0.77 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.600 0.161 0.000 0.000 0.000 0.000 0.000 0.000

Problem 196

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

402 384 286 0 0 0 0 0 0

N.S.

1 0.96 0.71 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.900 0.273 0.000 0.000 0.000 0.000 0.000 0.000

Problem 197

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

102 102 97 0 0 0 0 0 0

N.S.

1 1.00 0.95 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.273 0.026 0.000 0.000 0.000 0.000 0.000 0.000

Problem 198

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

283 324 201 329 441 260 388 0 0

N.S.

1 1.14 0.71 1.16 1.56 0.92 1.37 0.00 0.00

time (sec)

N/A 1.488 0.197 0.166 0.230 0.268 0.921 0.000 0.000

Problem 199

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

198 328 186 266 442 240 332 0 0

N.S.

1 1.66 0.94 1.34 2.23 1.21 1.68 0.00 0.00

time (sec)

N/A 1.475 0.192 0.109 0.221 0.282 0.786 0.000 0.000

Problem 200

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

206 236 177 247 346 225 313 0 0

N.S.

1 1.15 0.86 1.20 1.68 1.09 1.52 0.00 0.00

time (sec)

N/A 1.135 0.179 0.114 0.222 0.275 0.548 0.000 0.000

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