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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 B B B F A F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

62 62 79 383 1170 140 0 104 0

N.S.

1 1.00 1.27 6.18 18.87 2.26 0.00 1.68 0.00

time (sec)

N/A 0.364 0.071 1.221 0.402 0.263 0.000 0.422 0.000

Problem 102

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

102 101 94 551 2642 155 0 131 0

N.S.

1 0.99 0.92 5.40 25.90 1.52 0.00 1.28 0.00

time (sec)

N/A 0.489 0.122 1.560 4.163 0.265 0.000 0.438 0.000

Problem 103

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

138 142 109 717 5115 165 0 154 0

N.S.

1 1.03 0.79 5.20 37.07 1.20 0.00 1.12 0.00

time (sec)

N/A 0.642 0.224 1.779 45.833 0.264 0.000 0.425 0.000

Problem 104

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

162 182 93 99 84 78 0 122 0

N.S.

1 1.12 0.57 0.61 0.52 0.48 0.00 0.75 0.00

time (sec)

N/A 0.837 0.165 0.714 0.388 0.263 0.000 0.681 0.000

Problem 105

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

116 131 81 86 69 67 0 100 0

N.S.

1 1.13 0.70 0.74 0.59 0.58 0.00 0.86 0.00

time (sec)

N/A 0.550 0.106 0.867 0.385 0.254 0.000 0.428 0.000

Problem 106

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

86 91 67 71 53 55 0 77 0

N.S.

1 1.06 0.78 0.83 0.62 0.64 0.00 0.90 0.00

time (sec)

N/A 0.379 0.063 0.970 0.393 0.246 0.000 0.333 0.000

Problem 107

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

59 59 55 58 38 44 0 55 0

N.S.

1 1.00 0.93 0.98 0.64 0.75 0.00 0.93 0.00

time (sec)

N/A 0.272 0.041 0.772 0.408 0.309 0.000 0.308 0.000

Problem 108

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

66 66 65 209 0 127 0 89 0

N.S.

1 1.00 0.98 3.17 0.00 1.92 0.00 1.35 0.00

time (sec)

N/A 0.387 0.058 1.335 0.000 0.255 0.000 0.312 0.000

Problem 109

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

65 65 81 385 1314 146 0 107 0

N.S.

1 1.00 1.25 5.92 20.22 2.25 0.00 1.65 0.00

time (sec)

N/A 0.376 0.079 1.370 0.413 0.251 0.000 0.329 0.000

Problem 110

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

106 104 97 551 3216 162 0 134 0

N.S.

1 0.98 0.92 5.20 30.34 1.53 0.00 1.26 0.00

time (sec)

N/A 0.515 0.159 1.557 0.931 0.317 0.000 0.328 0.000

Problem 111

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

144 145 110 718 5542 173 0 158 0

N.S.

1 1.01 0.76 4.99 38.49 1.20 0.00 1.10 0.00

time (sec)

N/A 0.669 0.236 1.901 164.443 0.267 0.000 0.333 0.000

Problem 112

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

203 227 107 112 111 101 0 156 0

N.S.

1 1.12 0.53 0.55 0.55 0.50 0.00 0.77 0.00

time (sec)

N/A 1.104 0.314 5.543 0.356 0.264 0.000 1.757 0.000

Problem 113

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

146 165 95 99 94 88 0 132 0

N.S.

1 1.13 0.65 0.68 0.64 0.60 0.00 0.90 0.00

time (sec)

N/A 0.684 0.192 2.147 0.470 0.308 0.000 0.809 0.000

Problem 114

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

116 125 84 86 77 75 0 108 0

N.S.

1 1.08 0.72 0.74 0.66 0.65 0.00 0.93 0.00

time (sec)

N/A 0.490 0.146 1.163 0.372 0.265 0.000 0.442 0.000

Problem 115

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

89 93 71 73 60 62 0 84 0

N.S.

1 1.04 0.80 0.82 0.67 0.70 0.00 0.94 0.00

time (sec)

N/A 0.351 0.068 0.885 0.342 0.257 0.000 0.356 0.000

Problem 116

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

98 101 89 246 0 147 0 120 0

N.S.

1 1.03 0.91 2.51 0.00 1.50 0.00 1.22 0.00

time (sec)

N/A 0.534 0.279 1.973 0.000 0.276 0.000 0.386 0.000

Problem 117

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD

size

92 99 217 432 10847 164 0 135 0

N.S.

1 1.08 2.36 4.70 117.90 1.78 0.00 1.47 0.00

time (sec)

N/A 0.545 5.580 6.561 0.673 0.270 0.000 0.375 0.000

Problem 118

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

106 108 267 551 3667 170 0 140 0

N.S.

1 1.02 2.52 5.20 34.59 1.60 0.00 1.32 0.00

time (sec)

N/A 0.568 6.367 27.530 3.255 0.280 0.000 0.526 0.000

Problem 119

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

144 148 284 717 6703 183 0 166 0

N.S.

1 1.03 1.97 4.98 46.55 1.27 0.00 1.15 0.00

time (sec)

N/A 0.739 6.465 96.056 44.297 0.270 0.000 0.416 0.000

Problem 120

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

182 189 388 882 0 196 0 192 0

N.S.

1 1.04 2.13 4.85 0.00 1.08 0.00 1.05 0.00

time (sec)

N/A 0.925 6.688 299.260 0.000 0.266 0.000 0.422 0.000

Problem 121

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

119 127 83 86 77 75 0 108 0

N.S.

1 1.07 0.70 0.72 0.65 0.63 0.00 0.91 0.00

time (sec)

N/A 0.468 0.161 0.983 0.371 0.250 0.000 0.443 0.000

Problem 122

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

174 199 112 194 696204 153 0 141 0

N.S.

1 1.14 0.64 1.11 4001.17 0.88 0.00 0.81 0.00

time (sec)

N/A 1.082 0.228 1.163 17.570 0.293 0.000 0.577 0.000

Problem 123

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

140 154 101 183 908518 143 0 139 0

N.S.

1 1.10 0.72 1.31 6489.41 1.02 0.00 0.99 0.00

time (sec)

N/A 0.789 0.170 1.293 17.657 0.257 0.000 0.415 0.000

Problem 124

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B A F A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

104 112 84 132 19437 131 0 103 97

N.S.

1 1.08 0.81 1.27 186.89 1.26 0.00 0.99 0.93

time (sec)

N/A 0.472 0.095 1.414 0.662 0.265 0.000 0.360 14.229

Problem 125

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B A F A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

73 73 53 120 18948 122 0 100 60

N.S.

1 1.00 0.73 1.64 259.56 1.67 0.00 1.37 0.82

time (sec)

N/A 0.305 0.032 1.223 0.575 0.312 0.000 0.341 0.128

Problem 126

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A C B A F B B

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

46 46 40 56 90 126 0 93 45

N.S.

1 1.00 0.87 1.22 1.96 2.74 0.00 2.02 0.98

time (sec)

N/A 0.204 0.008 0.441 0.352 0.262 0.000 0.298 14.131

Problem 127

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

85 85 65 226 0 164 0 121 0

N.S.

1 1.00 0.76 2.66 0.00 1.93 0.00 1.42 0.00

time (sec)

N/A 0.429 0.040 1.639 0.000 0.271 0.000 0.343 0.000

Problem 128

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

108 117 192 466 18435 236 0 0 0

N.S.

1 1.08 1.78 4.31 170.69 2.19 0.00 0.00 0.00

time (sec)

N/A 0.635 0.855 1.746 0.548 0.267 0.000 0.000 0.000

Problem 129

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

147 159 360 677 0 251 0 0 0

N.S.

1 1.08 2.45 4.61 0.00 1.71 0.00 0.00 0.00

time (sec)

N/A 0.907 1.261 1.802 0.000 0.278 0.000 0.000 0.000

Problem 130

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

181 206 385 883 0 263 0 0 0

N.S.

1 1.14 2.13 4.88 0.00 1.45 0.00 0.00 0.00

time (sec)

N/A 1.182 1.416 2.039 0.000 0.281 0.000 0.000 0.000

Problem 131

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

183 199 118 265 0 184 0 167 0

N.S.

1 1.09 0.64 1.45 0.00 1.01 0.00 0.91 0.00

time (sec)

N/A 1.085 0.264 1.159 0.000 0.268 0.000 1.139 0.000

Problem 132

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

145 154 110 234 0 174 0 101 0

N.S.

1 1.06 0.76 1.61 0.00 1.20 0.00 0.70 0.00

time (sec)

N/A 0.793 0.193 1.264 0.000 0.261 0.000 0.689 0.000

Problem 133

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

105 109 100 173 0 164 0 145 0

N.S.

1 1.04 0.95 1.65 0.00 1.56 0.00 1.38 0.00

time (sec)

N/A 0.472 0.133 1.561 0.000 0.255 0.000 0.464 0.000

Problem 134

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

77 77 54 140 46532 154 0 116 0

N.S.

1 1.00 0.70 1.82 604.31 2.00 0.00 1.51 0.00

time (sec)

N/A 0.306 0.077 1.283 2.590 0.250 0.000 0.375 0.000

Problem 135

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

77 77 63 138 15721 153 0 112 0

N.S.

1 1.00 0.82 1.79 204.17 1.99 0.00 1.45 0.00

time (sec)

N/A 0.287 0.048 1.105 1.142 0.254 0.000 0.307 0.000

Problem 136

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

114 120 227 290 0 254 0 137 0

N.S.

1 1.05 1.99 2.54 0.00 2.23 0.00 1.20 0.00

time (sec)

N/A 0.626 1.266 1.948 0.000 0.265 0.000 0.359 0.000

Problem 137

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

144 152 103 567 139280 286 0 0 0

N.S.

1 1.06 0.72 3.94 967.22 1.99 0.00 0.00 0.00

time (sec)

N/A 0.887 0.338 1.684 5.926 0.308 0.000 0.000 0.000

Problem 138

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

185 200 841 807 0 302 0 0 0

N.S.

1 1.08 4.55 4.36 0.00 1.63 0.00 0.00 0.00

time (sec)

N/A 1.175 6.928 1.809 0.000 0.281 0.000 0.000 0.000

Problem 139

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

183 199 123 242 0 208 0 122 0

N.S.

1 1.09 0.67 1.32 0.00 1.14 0.00 0.67 0.00

time (sec)

N/A 1.088 0.422 1.425 0.000 0.268 0.000 3.304 0.000

Problem 140

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

145 155 113 208 0 198 0 161 0

N.S.

1 1.07 0.78 1.43 0.00 1.37 0.00 1.11 0.00

time (sec)

N/A 0.798 0.306 1.398 0.000 0.256 0.000 2.120 0.000

Problem 141

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

107 113 104 174 0 188 0 138 0

N.S.

1 1.06 0.97 1.63 0.00 1.76 0.00 1.29 0.00

time (sec)

N/A 0.487 0.269 1.276 0.000 0.263 0.000 1.090 0.000

Problem 142

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

107 112 65 174 0 188 0 69 0

N.S.

1 1.05 0.61 1.63 0.00 1.76 0.00 0.64 0.00

time (sec)

N/A 0.404 0.170 1.289 0.000 0.262 0.000 0.643 0.000

Problem 143

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

107 112 65 174 84332 188 0 129 0

N.S.

1 1.05 0.61 1.63 788.15 1.76 0.00 1.21 0.00

time (sec)

N/A 0.372 0.106 1.308 14.940 0.259 0.000 0.340 0.000

Problem 144

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

144 156 279 325 0 298 0 0 0

N.S.

1 1.08 1.94 2.26 0.00 2.07 0.00 0.00 0.00

time (sec)

N/A 0.864 4.764 1.749 0.000 0.276 0.000 0.000 0.000

Problem 145

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

174 190 731 601 0 330 0 0 0

N.S.

1 1.09 4.20 3.45 0.00 1.90 0.00 0.00 0.00

time (sec)

N/A 1.160 6.972 1.693 0.000 0.271 0.000 0.000 0.000

Problem 146

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD

size

111 117 241 270 0 148 0 0 87

N.S.

1 1.05 2.17 2.43 0.00 1.33 0.00 0.00 0.78

time (sec)

N/A 0.504 4.640 8.852 0.000 0.093 0.000 0.000 15.493

Problem 147

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD

size

87 89 232 219 0 137 0 0 80

N.S.

1 1.02 2.67 2.52 0.00 1.57 0.00 0.00 0.92

time (sec)

N/A 0.393 3.560 6.664 0.000 0.091 0.000 0.000 0.167

Problem 148

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C B F C F F B

verified

N/A Yes No Yes TBD TBD TBD TBD TBD

size

61 62 222 225 0 125 0 0 53

N.S.

1 1.02 3.64 3.69 0.00 2.05 0.00 0.00 0.87

time (sec)

N/A 0.364 3.194 5.078 0.000 0.089 0.000 0.000 0.134

Problem 149

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C A F C F F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

35 35 155 150 0 107 0 0 27

N.S.

1 1.00 4.43 4.29 0.00 3.06 0.00 0.00 0.77

time (sec)

N/A 0.282 1.333 2.605 0.000 0.084 0.000 0.000 14.942

Problem 150

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C A F C F F B

verified

N/A Yes No Yes TBD TBD TBD TBD TBD

size

57 58 209 148 0 156 0 0 60

N.S.

1 1.02 3.67 2.60 0.00 2.74 0.00 0.00 1.05

time (sec)

N/A 0.366 3.235 3.096 0.000 0.087 0.000 0.000 15.552

Problem 151

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD

size

83 85 247 368 0 175 0 0 87

N.S.

1 1.02 2.98 4.43 0.00 2.11 0.00 0.00 1.05

time (sec)

N/A 0.391 4.506 4.266 0.000 0.093 0.000 0.000 15.316

Problem 152

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD

size

111 113 477 384 0 188 0 0 87

N.S.

1 1.02 4.30 3.46 0.00 1.69 0.00 0.00 0.78

time (sec)

N/A 0.497 6.318 6.212 0.000 0.094 0.000 0.000 15.449

Problem 153

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

147 147 255 260 0 175 0 0 136

N.S.

1 1.00 1.73 1.77 0.00 1.19 0.00 0.00 0.93

time (sec)

N/A 0.345 5.277 12.147 0.000 0.100 0.000 0.000 15.070

Problem 154

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

121 121 245 272 0 162 0 0 129

N.S.

1 1.00 2.02 2.25 0.00 1.34 0.00 0.00 1.07

time (sec)

N/A 0.344 4.736 9.442 0.000 0.094 0.000 0.000 14.544

Problem 155

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD

size

95 95 235 250 0 149 0 0 104

N.S.

1 1.00 2.47 2.63 0.00 1.57 0.00 0.00 1.09

time (sec)

N/A 0.306 3.865 7.076 0.000 0.092 0.000 0.000 14.623

Problem 156

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C B F C F F B

verified

N/A Yes No Yes TBD TBD TBD TBD TBD

size

67 67 224 228 0 134 0 0 59

N.S.

1 1.00 3.34 3.40 0.00 2.00 0.00 0.00 0.88

time (sec)

N/A 0.284 3.856 3.940 0.000 0.089 0.000 0.000 14.886

Problem 157

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

44 44 112 185 0 97 0 0 82

N.S.

1 1.00 2.55 4.20 0.00 2.20 0.00 0.00 1.86

time (sec)

N/A 0.272 0.264 4.041 0.000 0.084 0.000 0.000 14.903

Problem 158

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

91 91 111 371 0 187 0 0 109

N.S.

1 1.00 1.22 4.08 0.00 2.05 0.00 0.00 1.20

time (sec)

N/A 0.303 0.218 4.827 0.000 0.092 0.000 0.000 14.961

Problem 159

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

121 121 114 386 0 202 0 0 114

N.S.

1 1.00 0.94 3.19 0.00 1.67 0.00 0.00 0.94

time (sec)

N/A 0.342 0.282 7.274 0.000 0.094 0.000 0.000 15.266

Problem 160

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

147 147 255 260 0 175 0 0 206

N.S.

1 1.00 1.73 1.77 0.00 1.19 0.00 0.00 1.40

time (sec)

N/A 0.367 6.712 12.954 0.000 0.100 0.000 0.000 15.005

Problem 161

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD

size

121 121 245 272 0 162 0 0 143

N.S.

1 1.00 2.02 2.25 0.00 1.34 0.00 0.00 1.18

time (sec)

N/A 0.338 5.460 10.527 0.000 0.099 0.000 0.000 14.746

Problem 162

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD

size

91 91 233 250 0 148 0 0 104

N.S.

1 1.00 2.56 2.75 0.00 1.63 0.00 0.00 1.14

time (sec)

N/A 0.315 5.014 5.943 0.000 0.096 0.000 0.000 13.916

Problem 163

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

91 91 146 172 0 180 0 0 104

N.S.

1 1.00 1.60 1.89 0.00 1.98 0.00 0.00 1.14

time (sec)

N/A 0.302 0.401 5.967 0.000 0.092 0.000 0.000 14.643

Problem 164

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

91 91 139 371 0 187 0 0 126

N.S.

1 1.00 1.53 4.08 0.00 2.05 0.00 0.00 1.38

time (sec)

N/A 0.326 0.323 6.454 0.000 0.097 0.000 0.000 14.487

Problem 165

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

117 117 138 386 0 200 0 0 154

N.S.

1 1.00 1.18 3.30 0.00 1.71 0.00 0.00 1.32

time (sec)

N/A 0.372 0.437 7.484 0.000 0.093 0.000 0.000 15.240

Problem 166

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

147 147 140 439 0 215 0 0 145

N.S.

1 1.00 0.95 2.99 0.00 1.46 0.00 0.00 0.99

time (sec)

N/A 0.373 0.644 10.407 0.000 0.117 0.000 0.000 15.566

Problem 167

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD

size

173 173 271 273 0 188 0 0 221

N.S.

1 1.00 1.57 1.58 0.00 1.09 0.00 0.00 1.28

time (sec)

N/A 0.437 3.087 15.950 0.000 0.102 0.000 0.000 15.027

Problem 168

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

147 147 255 260 0 175 0 0 223

N.S.

1 1.00 1.73 1.77 0.00 1.19 0.00 0.00 1.52

time (sec)

N/A 0.395 5.935 12.700 0.000 0.113 0.000 0.000 15.160

Problem 169

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD

size

121 121 245 272 0 162 0 0 146

N.S.

1 1.00 2.02 2.25 0.00 1.34 0.00 0.00 1.21

time (sec)

N/A 0.344 5.784 9.147 0.000 0.094 0.000 0.000 15.011

Problem 170

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

119 119 157 194 0 194 0 0 149

N.S.

1 1.00 1.32 1.63 0.00 1.63 0.00 0.00 1.25

time (sec)

N/A 0.349 0.936 8.785 0.000 0.106 0.000 0.000 15.017

Problem 171

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

98 98 186 292 0 125 0 0 145

N.S.

1 1.00 1.90 2.98 0.00 1.28 0.00 0.00 1.48

time (sec)

N/A 0.330 0.688 8.245 0.000 0.092 0.000 0.000 15.024

Problem 172

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

121 121 169 386 0 202 0 0 202

N.S.

1 1.00 1.40 3.19 0.00 1.67 0.00 0.00 1.67

time (sec)

N/A 0.352 0.663 8.786 0.000 0.101 0.000 0.000 15.642

Problem 173

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

147 147 171 439 0 215 0 0 199

N.S.

1 1.00 1.16 2.99 0.00 1.46 0.00 0.00 1.35

time (sec)

N/A 0.375 1.042 10.460 0.000 0.093 0.000 0.000 15.673

Problem 174

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

128 132 315 229 0 208 0 0 0

N.S.

1 1.03 2.46 1.79 0.00 1.62 0.00 0.00 0.00

time (sec)

N/A 0.575 1.859 5.279 0.000 0.100 0.000 0.000 0.000

Problem 175

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

100 104 289 215 0 198 0 0 0

N.S.

1 1.04 2.89 2.15 0.00 1.98 0.00 0.00 0.00

time (sec)

N/A 0.534 1.346 4.191 0.000 0.099 0.000 0.000 0.000

Problem 176

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

72 76 264 199 0 186 0 0 0

N.S.

1 1.06 3.67 2.76 0.00 2.58 0.00 0.00 0.00

time (sec)

N/A 0.442 2.196 3.261 0.000 0.104 0.000 0.000 0.000

Problem 177

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

70 75 256 198 0 184 0 0 0

N.S.

1 1.07 3.66 2.83 0.00 2.63 0.00 0.00 0.00

time (sec)

N/A 0.430 1.000 2.405 0.000 0.093 0.000 0.000 0.000

Problem 178

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

70 76 257 200 0 184 0 0 0

N.S.

1 1.09 3.67 2.86 0.00 2.63 0.00 0.00 0.00

time (sec)

N/A 0.436 1.070 1.704 0.000 0.086 0.000 0.000 0.000

Problem 179

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

96 100 297 253 0 236 0 0 0

N.S.

1 1.04 3.09 2.64 0.00 2.46 0.00 0.00 0.00

time (sec)

N/A 0.549 1.791 2.536 0.000 0.099 0.000 0.000 0.000

Problem 180

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

124 128 332 413 0 258 0 0 0

N.S.

1 1.03 2.68 3.33 0.00 2.08 0.00 0.00 0.00

time (sec)

N/A 0.571 2.910 3.731 0.000 0.095 0.000 0.000 0.000

Problem 181

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

160 174 148 283 0 288 0 0 0

N.S.

1 1.09 0.92 1.77 0.00 1.80 0.00 0.00 0.00

time (sec)

N/A 0.840 0.944 6.383 0.000 0.101 0.000 0.000 0.000

Problem 182

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

138 147 136 270 0 278 0 0 0

N.S.

1 1.07 0.99 1.96 0.00 2.01 0.00 0.00 0.00

time (sec)

N/A 0.775 0.614 6.199 0.000 0.101 0.000 0.000 0.000

Problem 183

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

112 118 128 257 0 268 0 0 0

N.S.

1 1.05 1.14 2.29 0.00 2.39 0.00 0.00 0.00

time (sec)

N/A 0.648 0.496 5.039 0.000 0.096 0.000 0.000 0.000

Problem 184

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

109 119 114 257 0 268 0 0 0

N.S.

1 1.09 1.05 2.36 0.00 2.46 0.00 0.00 0.00

time (sec)

N/A 0.665 0.384 3.260 0.000 0.101 0.000 0.000 0.000

Problem 185

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

57 57 71 188 0 150 0 0 0

N.S.

1 1.00 1.25 3.30 0.00 2.63 0.00 0.00 0.00

time (sec)

N/A 0.296 0.278 2.901 0.000 0.102 0.000 0.000 0.000

Problem 186

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

109 118 304 257 0 268 0 0 0

N.S.

1 1.08 2.79 2.36 0.00 2.46 0.00 0.00 0.00

time (sec)

N/A 0.645 2.415 1.870 0.000 0.113 0.000 0.000 0.000

Problem 187

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

136 142 334 405 0 318 0 0 0

N.S.

1 1.04 2.46 2.98 0.00 2.34 0.00 0.00 0.00

time (sec)

N/A 0.796 2.370 3.289 0.000 0.098 0.000 0.000 0.000

Problem 188

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

162 171 364 413 0 338 0 0 0

N.S.

1 1.06 2.25 2.55 0.00 2.09 0.00 0.00 0.00

time (sec)

N/A 0.808 4.964 4.549 0.000 0.105 0.000 0.000 0.000

Problem 189

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

207 226 175 296 0 364 0 0 0

N.S.

1 1.09 0.85 1.43 0.00 1.76 0.00 0.00 0.00

time (sec)

N/A 1.129 2.101 11.214 0.000 0.114 0.000 0.000 0.000

Problem 190

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

181 198 166 283 0 354 0 0 0

N.S.

1 1.09 0.92 1.56 0.00 1.96 0.00 0.00 0.00

time (sec)

N/A 1.076 1.338 10.449 0.000 0.108 0.000 0.000 0.000

Problem 191

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

155 170 157 270 0 344 0 0 0

N.S.

1 1.10 1.01 1.74 0.00 2.22 0.00 0.00 0.00

time (sec)

N/A 0.946 1.290 10.244 0.000 0.107 0.000 0.000 0.000

Problem 192

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

155 170 146 270 0 344 0 0 0

N.S.

1 1.10 0.94 1.74 0.00 2.22 0.00 0.00 0.00

time (sec)

N/A 0.906 1.021 9.678 0.000 0.097 0.000 0.000 0.000

Problem 193

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

155 170 146 270 0 344 0 0 0

N.S.

1 1.10 0.94 1.74 0.00 2.22 0.00 0.00 0.00

time (sec)

N/A 0.900 1.081 4.295 0.000 0.106 0.000 0.000 0.000

Problem 194

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

155 170 139 270 0 344 0 0 0

N.S.

1 1.10 0.90 1.74 0.00 2.22 0.00 0.00 0.00

time (sec)

N/A 0.888 2.240 4.188 0.000 0.093 0.000 0.000 0.000

Problem 195

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD

size

155 170 304 268 0 344 0 0 0

N.S.

1 1.10 1.96 1.73 0.00 2.22 0.00 0.00 0.00

time (sec)

N/A 0.913 4.941 2.309 0.000 0.095 0.000 0.000 0.000

Problem 196

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

181 194 364 555 0 394 0 0 0

N.S.

1 1.07 2.01 3.07 0.00 2.18 0.00 0.00 0.00

time (sec)

N/A 1.080 2.442 4.149 0.000 0.100 0.000 0.000 0.000

Problem 197

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

207 222 394 453 0 414 0 0 0

N.S.

1 1.07 1.90 2.19 0.00 2.00 0.00 0.00 0.00

time (sec)

N/A 1.120 2.834 5.208 0.000 0.107 0.000 0.000 0.000

Problem 198

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

154 158 105 180 1921 108 0 0 0

N.S.

1 1.03 0.68 1.17 12.47 0.70 0.00 0.00 0.00

time (sec)

N/A 0.687 0.230 11.510 0.581 0.265 0.000 0.000 0.000

Problem 199

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

116 115 91 145 1059 98 0 0 0

N.S.

1 0.99 0.78 1.25 9.13 0.84 0.00 0.00 0.00

time (sec)

N/A 0.521 0.137 11.604 0.465 0.263 0.000 0.000 0.000

Problem 200

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

72 72 77 108 791 88 0 0 0

N.S.

1 1.00 1.07 1.50 10.99 1.22 0.00 0.00 0.00

time (sec)

N/A 0.374 0.063 11.620 0.436 0.264 0.000 0.000 0.000

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