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 C B B B F B B B

verified

N/A Yes No Yes TBD TBD TBD TBD TBD TBD

size

125 165 1341 240 362 3465 0 310 971 535

N.S.

1 1.32 10.73 1.92 2.90 27.72 0.00 2.48 7.77 4.28

time (sec)

N/A 0.376 10.164 13.826 0.125 0.108 0.000 0.212 0.233 2.463

Problem 102

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

67 59 67 227 71 786 0 347 435 1050

N.S.

1 0.88 1.00 3.39 1.06 11.73 0.00 5.18 6.49 15.67

time (sec)

N/A 0.275 0.156 42.457 0.038 0.084 0.000 0.225 0.243 2.522

Problem 103

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

172 197 158 291 553 6114 0 485 1394 951

N.S.

1 1.15 0.92 1.69 3.22 35.55 0.00 2.82 8.10 5.53

time (sec)

N/A 0.438 12.142 80.239 0.137 0.124 0.000 0.219 0.245 0.282

Problem 104

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

102 91 218 269 1847 1185 0 447 572 1424

N.S.

1 0.89 2.14 2.64 18.11 11.62 0.00 4.38 5.61 13.96

time (sec)

N/A 0.321 2.057 152.406 0.067 0.092 0.000 0.229 0.269 2.444

Problem 105

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

120 153 115 273 514 2180 0 301 333 967

N.S.

1 1.28 0.96 2.28 4.28 18.17 0.00 2.51 2.78 8.06

time (sec)

N/A 0.472 0.584 21.668 0.182 0.133 0.000 0.948 0.271 3.123

Problem 106

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

80 75 79 230 0 1857 0 0 284 2194

N.S.

1 0.94 0.99 2.88 0.00 23.21 0.00 0.00 3.55 27.42

time (sec)

N/A 0.565 0.322 7.809 0.000 0.115 0.000 0.000 0.264 3.954

Problem 107

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

77 97 77 159 316 948 0 155 181 880

N.S.

1 1.26 1.00 2.06 4.10 12.31 0.00 2.01 2.35 11.43

time (sec)

N/A 0.519 0.435 2.750 0.166 0.156 0.000 0.600 0.279 3.020

Problem 108

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

53 51 53 149 0 773 0 0 195 154

N.S.

1 0.96 1.00 2.81 0.00 14.58 0.00 0.00 3.68 2.91

time (sec)

N/A 0.438 0.081 1.366 0.000 0.119 0.000 0.000 0.251 2.768

Problem 109

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

36 36 36 102 0 519 0 0 63 147

N.S.

1 1.00 1.00 2.83 0.00 14.42 0.00 0.00 1.75 4.08

time (sec)

N/A 0.398 0.026 1.915 0.000 0.122 0.000 0.000 0.248 0.286

Problem 110

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

32 32 32 114 36 455 0 44 61 81

N.S.

1 1.00 1.00 3.56 1.12 14.22 0.00 1.38 1.91 2.53

time (sec)

N/A 0.412 0.305 6.200 0.124 0.108 0.000 0.274 0.282 2.574

Problem 111

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

55 53 55 144 0 540 0 0 80 449

N.S.

1 0.96 1.00 2.62 0.00 9.82 0.00 0.00 1.45 8.16

time (sec)

N/A 0.311 0.183 16.032 0.000 0.138 0.000 0.000 0.274 3.018

Problem 112

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

50 48 50 197 63 649 0 70 307 176

N.S.

1 0.96 1.00 3.94 1.26 12.98 0.00 1.40 6.14 3.52

time (sec)

N/A 0.283 0.326 38.356 0.153 0.115 0.000 0.282 0.292 3.135

Problem 113

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

86 94 79 236 0 1584 0 0 620 1012

N.S.

1 1.09 0.92 2.74 0.00 18.42 0.00 0.00 7.21 11.77

time (sec)

N/A 0.317 0.433 86.950 0.000 0.150 0.000 0.000 0.280 3.382

Problem 114

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

75 70 71 252 140 2032 0 135 1042 252

N.S.

1 0.93 0.95 3.36 1.87 27.09 0.00 1.80 13.89 3.36

time (sec)

N/A 0.299 0.474 174.331 0.164 0.123 0.000 0.307 0.281 2.891

Problem 115

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

128 120 111 378 0 6941 0 0 1442 0

N.S.

1 0.94 0.87 2.95 0.00 54.23 0.00 0.00 11.27 0.00

time (sec)

N/A 0.384 0.751 27.800 0.000 0.192 0.000 0.000 0.343 0.000

Problem 116

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

140 162 110 386 840 4324 0 416 1269 0

N.S.

1 1.16 0.79 2.76 6.00 30.89 0.00 2.97 9.06 0.00

time (sec)

N/A 0.380 0.899 9.181 0.281 0.183 0.000 0.735 0.289 0.000

Problem 117

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

101 96 84 286 0 3510 0 0 1145 0

N.S.

1 0.95 0.83 2.83 0.00 34.75 0.00 0.00 11.34 0.00

time (sec)

N/A 0.345 0.488 3.810 0.000 0.153 0.000 0.000 0.288 0.000

Problem 118

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

83 81 78 252 0 2049 0 0 914 0

N.S.

1 0.98 0.94 3.04 0.00 24.69 0.00 0.00 11.01 0.00

time (sec)

N/A 0.274 0.207 8.314 0.000 0.125 0.000 0.000 0.259 0.000

Problem 119

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

66 64 63 210 125 1515 0 138 508 0

N.S.

1 0.97 0.95 3.18 1.89 22.95 0.00 2.09 7.70 0.00

time (sec)

N/A 0.263 0.586 26.228 0.201 0.123 0.000 0.331 0.242 0.000

Problem 120

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

72 70 69 183 0 1563 0 0 590 0

N.S.

1 0.97 0.96 2.54 0.00 21.71 0.00 0.00 8.19 0.00

time (sec)

N/A 0.363 0.117 60.371 0.000 0.117 0.000 0.000 0.257 0.000

Problem 121

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

77 75 83 259 127 1443 0 143 637 0

N.S.

1 0.97 1.08 3.36 1.65 18.74 0.00 1.86 8.27 0.00

time (sec)

N/A 0.461 0.543 127.205 0.189 0.129 0.000 0.346 0.323 0.000

Problem 122

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

102 107 203 273 0 2140 0 0 950 0

N.S.

1 1.05 1.99 2.68 0.00 20.98 0.00 0.00 9.31 0.00

time (sec)

N/A 0.539 0.369 244.370 0.000 0.136 0.000 0.000 0.278 0.000

Problem 123

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

97 92 102 306 209 2869 0 232 1449 0

N.S.

1 0.95 1.05 3.15 2.15 29.58 0.00 2.39 14.94 0.00

time (sec)

N/A 0.544 0.774 0.711 0.238 0.135 0.000 0.350 0.309 0.000

Problem 124

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

155 163 265 351 0 6396 0 0 2051 0

N.S.

1 1.05 1.71 2.26 0.00 41.26 0.00 0.00 13.23 0.00

time (sec)

N/A 0.705 0.935 0.615 0.000 0.178 0.000 0.000 0.363 0.000

Problem 125

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

198 238 164 501 1806 13887 0 546 4226 0

N.S.

1 1.20 0.83 2.53 9.12 70.14 0.00 2.76 21.34 0.00

time (sec)

N/A 0.510 1.341 28.587 0.409 0.373 0.000 1.101 0.398 0.000

Problem 126

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

154 146 136 375 0 11399 0 0 3187 0

N.S.

1 0.95 0.88 2.44 0.00 74.02 0.00 0.00 20.69 0.00

time (sec)

N/A 0.414 1.296 11.767 0.000 0.327 0.000 0.000 0.415 0.000

Problem 127

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

140 154 134 394 0 7917 0 0 14353 0

N.S.

1 1.10 0.96 2.81 0.00 56.55 0.00 0.00 102.52 0.00

time (sec)

N/A 0.350 0.686 29.847 0.000 0.184 0.000 0.000 0.329 0.000

Problem 128

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

96 99 77 284 366 5840 0 320 1906 0

N.S.

1 1.03 0.80 2.96 3.81 60.83 0.00 3.33 19.85 0.00

time (sec)

N/A 0.286 1.450 83.826 0.269 0.167 0.000 0.607 0.335 0.000

Problem 129

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

129 121 123 342 0 6622 0 0 2228 0

N.S.

1 0.94 0.95 2.65 0.00 51.33 0.00 0.00 17.27 0.00

time (sec)

N/A 0.318 0.507 173.548 0.000 0.188 0.000 0.000 0.287 0.000

Problem 130

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

115 113 115 334 360 5659 0 319 2949 0

N.S.

1 0.98 1.00 2.90 3.13 49.21 0.00 2.77 25.64 0.00

time (sec)

N/A 0.289 1.168 0.690 0.305 0.167 0.000 0.611 0.326 0.000

Problem 131

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

104 107 87 276 0 5084 0 0 1507 0

N.S.

1 1.03 0.84 2.65 0.00 48.88 0.00 0.00 14.49 0.00

time (sec)

N/A 0.293 0.269 0.648 0.000 0.159 0.000 0.000 0.334 0.000

Problem 132

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

132 143 128 376 332 5233 0 322 2976 0

N.S.

1 1.08 0.97 2.85 2.52 39.64 0.00 2.44 22.55 0.00

time (sec)

N/A 0.471 1.161 0.636 0.334 0.197 0.000 0.579 0.277 0.000

Problem 133

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

156 170 317 389 0 8070 0 0 2818 0

N.S.

1 1.09 2.03 2.49 0.00 51.73 0.00 0.00 18.06 0.00

time (sec)

N/A 0.712 2.113 0.630 0.000 0.263 0.000 0.000 0.334 0.000

Problem 134

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

54 49 97 68 199 339 82 134 67 50

N.S.

1 0.91 1.80 1.26 3.69 6.28 1.52 2.48 1.24 0.93

time (sec)

N/A 0.623 0.036 0.298 0.045 0.088 0.142 0.156 0.308 0.132

Problem 135

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

49 59 46 71 168 1205 88 92 484 53

N.S.

1 1.20 0.94 1.45 3.43 24.59 1.80 1.88 9.88 1.08

time (sec)

N/A 0.649 0.164 0.265 0.121 0.104 0.137 0.151 0.243 2.395

Problem 136

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

36 36 65 45 105 160 54 86 45 34

N.S.

1 1.00 1.81 1.25 2.92 4.44 1.50 2.39 1.25 0.94

time (sec)

N/A 0.402 0.024 0.263 0.046 0.081 0.114 0.135 0.226 2.381

Problem 137

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

31 40 39 49 76 399 60 57 249 37

N.S.

1 1.29 1.26 1.58 2.45 12.87 1.94 1.84 8.03 1.19

time (sec)

N/A 0.277 0.047 0.361 0.120 0.100 0.109 0.126 0.295 2.373

Problem 138

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

19 19 28 22 31 37 20 29 22 18

N.S.

1 1.00 1.47 1.16 1.63 1.95 1.05 1.53 1.16 0.95

time (sec)

N/A 0.174 0.001 0.214 0.043 0.084 0.089 0.115 0.240 0.072

Problem 139

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

25 39 25 24 35 70 0 46 54 228

N.S.

1 1.56 1.00 0.96 1.40 2.80 0.00 1.84 2.16 9.12

time (sec)

N/A 0.293 0.029 0.781 0.037 0.098 0.000 0.125 0.229 0.147

Problem 140

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

18 18 32 21 31 38 78 30 70 25

N.S.

1 1.00 1.78 1.17 1.72 2.11 4.33 1.67 3.89 1.39

time (sec)

N/A 0.224 0.023 0.471 0.041 0.092 4.545 0.135 0.260 2.385

Problem 141

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

31 44 39 35 106 407 0 58 345 76

N.S.

1 1.42 1.26 1.13 3.42 13.13 0.00 1.87 11.13 2.45

time (sec)

N/A 0.295 0.051 0.672 0.040 0.086 0.000 0.147 0.213 2.466

Problem 142

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

36 36 61 39 105 156 0 86 189 162

N.S.

1 1.00 1.69 1.08 2.92 4.33 0.00 2.39 5.25 4.50

time (sec)

N/A 0.291 0.042 0.149 0.042 0.088 0.000 0.152 0.235 2.530

Problem 143

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

49 63 45 56 206 1216 0 93 664 177

N.S.

1 1.29 0.92 1.14 4.20 24.82 0.00 1.90 13.55 3.61

time (sec)

N/A 0.371 0.192 0.184 0.041 0.125 0.000 0.171 0.256 2.420

Problem 144

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

N/A Yes Yes No TBD TBD TBD TBD TBD TBD

size

83 81 190 135 369 796 165 300 134 91

N.S.

1 0.98 2.29 1.63 4.45 9.59 1.99 3.61 1.61 1.10

time (sec)

N/A 0.305 0.063 0.093 0.050 0.090 0.255 0.209 0.266 0.174

Problem 145

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

76 76 76 130 333 3441 170 191 1141 100

N.S.

1 1.00 1.00 1.71 4.38 45.28 2.24 2.51 15.01 1.32

time (sec)

N/A 0.329 0.125 0.074 0.123 0.126 0.227 0.195 0.238 2.516

Problem 146

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

N/A Yes Yes No TBD TBD TBD TBD TBD TBD

size

63 65 137 97 231 483 117 218 96 67

N.S.

1 1.03 2.17 1.54 3.67 7.67 1.86 3.46 1.52 1.06

time (sec)

N/A 0.329 0.051 0.070 0.047 0.093 0.238 0.177 0.249 2.517

Problem 147

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

57 60 49 92 186 1638 122 116 723 76

N.S.

1 1.05 0.86 1.61 3.26 28.74 2.14 2.04 12.68 1.33

time (sec)

N/A 0.478 0.215 0.056 0.119 0.101 0.214 0.163 0.248 2.568

Problem 148

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

N/A Yes Yes No TBD TBD TBD TBD TBD TBD

size

43 47 65 60 114 201 68 103 60 47

N.S.

1 1.09 1.51 1.40 2.65 4.67 1.58 2.40 1.40 1.09

time (sec)

N/A 0.408 0.515 0.057 0.037 0.110 0.140 0.124 0.260 2.435

Problem 149

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

49 54 57 59 104 668 0 141 440 210

N.S.

1 1.10 1.16 1.20 2.12 13.63 0.00 2.88 8.98 4.29

time (sec)

N/A 0.484 0.073 0.154 0.114 0.098 0.000 0.159 0.236 2.572

Problem 150

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

36 40 64 36 64 97 0 71 147 59

N.S.

1 1.11 1.78 1.00 1.78 2.69 0.00 1.97 4.08 1.64

time (sec)

N/A 0.484 0.075 0.164 0.043 0.083 0.000 0.178 0.228 2.460

Problem 151

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

N/A No Yes Yes TBD TBD TBD TBD TBD TBD

size

52 55 57 62 134 677 0 141 493 211

N.S.

1 1.06 1.10 1.19 2.58 13.02 0.00 2.71 9.48 4.06

time (sec)

N/A 0.510 0.083 0.154 0.051 0.105 0.000 0.198 0.261 0.249

Problem 152

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

43 47 65 43 114 197 0 103 266 175

N.S.

1 1.09 1.51 1.00 2.65 4.58 0.00 2.40 6.19 4.07

time (sec)

N/A 0.285 0.415 0.131 0.043 0.088 0.000 0.195 0.303 0.160

Problem 153

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

N/A No Yes Yes TBD TBD TBD TBD TBD TBD

size

72 72 48 77 236 1649 0 118 1014 197

N.S.

1 1.00 0.67 1.07 3.28 22.90 0.00 1.64 14.08 2.74

time (sec)

N/A 0.320 0.253 0.175 0.043 0.111 0.000 0.228 0.337 2.497

Problem 154

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

63 65 98 58 231 473 0 218 513 529

N.S.

1 1.03 1.56 0.92 3.67 7.51 0.00 3.46 8.14 8.40

time (sec)

N/A 0.487 0.070 0.160 0.046 0.090 0.000 0.235 0.570 0.190

Problem 155

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

N/A No Yes Yes TBD TBD TBD TBD TBD TBD

size

92 89 76 92 390 3454 0 192 1566 362

N.S.

1 0.97 0.83 1.00 4.24 37.54 0.00 2.09 17.02 3.93

time (sec)

N/A 0.550 0.172 0.231 0.051 0.138 0.000 0.269 0.236 0.261

Problem 156

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

N/A Yes Yes No TBD TBD TBD TBD TBD TBD

size

114 109 123 218 583 1563 260 534 217 138

N.S.

1 0.96 1.08 1.91 5.11 13.71 2.28 4.68 1.90 1.21

time (sec)

N/A 0.318 1.000 0.122 0.059 0.106 0.307 0.294 0.254 0.239

Problem 157

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

107 104 98 205 540 7502 279 309 2074 155

N.S.

1 0.97 0.92 1.92 5.05 70.11 2.61 2.89 19.38 1.45

time (sec)

N/A 0.336 0.198 0.095 0.139 0.179 0.269 0.276 0.280 2.536

Problem 158

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

N/A Yes Yes No TBD TBD TBD TBD TBD TBD

size

94 93 108 164 400 1036 192 418 163 106

N.S.

1 0.99 1.15 1.74 4.26 11.02 2.04 4.45 1.73 1.13

time (sec)

N/A 0.500 1.147 0.099 0.051 0.106 0.214 0.249 0.250 2.629

Problem 159

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

83 83 76 151 351 4298 211 216 1493 123

N.S.

1 1.00 0.92 1.82 4.23 51.78 2.54 2.60 17.99 1.48

time (sec)

N/A 0.490 0.174 0.057 0.148 0.133 0.191 0.223 0.245 2.748

Problem 160

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

N/A Yes Yes No TBD TBD TBD TBD TBD TBD

size

74 75 95 112 239 567 126 241 111 86

N.S.

1 1.01 1.28 1.51 3.23 7.66 1.70 3.26 1.50 1.16

time (sec)

N/A 0.411 0.412 0.053 0.048 0.097 0.167 0.132 0.247 2.827

Problem 161

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

72 74 67 80 214 2381 0 267 1069 380

N.S.

1 1.03 0.93 1.11 2.97 33.07 0.00 3.71 14.85 5.28

time (sec)

N/A 0.432 0.373 0.173 0.140 0.128 0.000 0.226 0.269 0.386

Problem 162

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

59 60 81 59 147 341 0 135 407 218

N.S.

1 1.02 1.37 1.00 2.49 5.78 0.00 2.29 6.90 3.69

time (sec)

N/A 0.506 1.564 0.149 0.055 0.099 0.000 0.241 0.263 2.828

Problem 163

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

N/A No Yes Yes TBD TBD TBD TBD TBD TBD

size

72 70 63 77 203 1686 0 274 712 327

N.S.

1 0.97 0.88 1.07 2.82 23.42 0.00 3.81 9.89 4.54

time (sec)

N/A 0.414 0.307 0.184 0.142 0.143 0.000 0.274 0.268 3.916

Problem 164

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

59 60 82 56 147 341 0 135 407 219

N.S.

1 1.02 1.39 0.95 2.49 5.78 0.00 2.29 6.90 3.71

time (sec)

N/A 0.498 0.868 0.170 0.044 0.102 0.000 0.297 23.504 0.174

Problem 165

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

N/A No Yes Yes TBD TBD TBD TBD TBD TBD

size

83 83 67 90 264 2393 0 267 25 381

N.S.

1 1.00 0.81 1.08 3.18 28.83 0.00 3.22 0.30 4.59

time (sec)

N/A 0.419 0.390 0.195 0.059 0.110 0.000 0.343 200.020 0.406

Problem 166

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

74 76 100 72 239 557 0 241 25 568

N.S.

1 1.03 1.35 0.97 3.23 7.53 0.00 3.26 0.34 7.68

time (sec)

N/A 0.533 1.197 0.176 0.048 0.088 0.000 0.348 200.023 2.904

Problem 167

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

N/A No Yes Yes TBD TBD TBD TBD TBD TBD

size

103 100 76 106 420 4305 0 217 25 380

N.S.

1 0.97 0.74 1.03 4.08 41.80 0.00 2.11 0.24 3.69

time (sec)

N/A 0.574 0.162 0.240 0.050 0.172 0.000 0.427 200.020 0.314

Problem 168

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

N/A Yes Yes No TBD TBD TBD TBD TBD TBD

size

110 108 128 179 410 1176 209 447 178 133

N.S.

1 0.98 1.16 1.63 3.73 10.69 1.90 4.06 1.62 1.21

time (sec)

N/A 0.298 1.230 0.079 0.053 0.097 0.229 0.154 0.211 2.904

Problem 169

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

N/A Yes Yes No TBD TBD TBD TBD TBD TBD

size

160 155 170 262 624 2133 308 721 261 188

N.S.

1 0.97 1.06 1.64 3.90 13.33 1.92 4.51 1.63 1.18

time (sec)

N/A 0.355 1.585 0.132 0.063 0.121 0.330 0.169 0.231 2.495

Problem 170

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

66 66 60 79 133 742 415 132 153 72

N.S.

1 1.00 0.91 1.20 2.02 11.24 6.29 2.00 2.32 1.09

time (sec)

N/A 0.322 0.128 0.098 0.127 0.175 4.400 0.183 0.230 0.262

Problem 171

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

59 69 66 87 509 777 428 87 63 56

N.S.

1 1.17 1.12 1.47 8.63 13.17 7.25 1.47 1.07 0.95

time (sec)

N/A 0.346 0.139 0.148 0.248 0.119 3.067 0.164 0.242 2.341

Problem 172

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

46 52 44 49 82 118 306 96 119 46

N.S.

1 1.13 0.96 1.07 1.78 2.57 6.65 2.09 2.59 1.00

time (sec)

N/A 0.482 0.028 0.062 0.123 0.121 2.507 0.159 0.222 0.115

Problem 173

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

46 54 47 72 215 486 253 65 40 38

N.S.

1 1.17 1.02 1.57 4.67 10.57 5.50 1.41 0.87 0.83

time (sec)

N/A 0.470 0.022 0.078 0.152 0.119 2.132 0.151 0.221 0.106

Problem 174

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

42 47 35 44 58 82 146 61 79 43

N.S.

1 1.12 0.83 1.05 1.38 1.95 3.48 1.45 1.88 1.02

time (sec)

N/A 0.432 0.018 0.062 0.049 0.089 2.019 0.139 0.236 2.317

Problem 175

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

45 45 65 71 57 484 240 63 39 37

N.S.

1 1.00 1.44 1.58 1.27 10.76 5.33 1.40 0.87 0.82

time (sec)

N/A 0.547 0.064 0.086 0.141 0.119 2.100 0.130 0.241 2.383

Problem 176

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

60 65 55 65 101 118 0 97 141 194

N.S.

1 1.08 0.92 1.08 1.68 1.97 0.00 1.62 2.35 3.23

time (sec)

N/A 0.539 0.046 0.151 0.044 0.123 0.000 0.142 0.239 0.389

Problem 177

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

60 71 67 89 329 784 0 89 227 402

N.S.

1 1.18 1.12 1.48 5.48 13.07 0.00 1.48 3.78 6.70

time (sec)

N/A 0.336 0.137 0.160 0.175 0.122 0.000 0.151 0.263 2.643

Problem 178

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

N/A No Yes Yes TBD TBD TBD TBD TBD TBD

size

85 82 60 88 159 747 0 133 661 313

N.S.

1 0.96 0.71 1.04 1.87 8.79 0.00 1.56 7.78 3.68

time (sec)

N/A 0.351 0.127 0.193 0.042 0.152 0.000 0.169 0.353 2.639

Problem 179

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

82 96 91 109 1038 2368 0 147 550 519

N.S.

1 1.17 1.11 1.33 12.66 28.88 0.00 1.79 6.71 6.33

time (sec)

N/A 0.548 0.453 0.185 0.261 0.139 0.000 0.161 16.547 2.728

Problem 180

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

83 84 69 91 217 1141 0 194 3130 170

N.S.

1 1.01 0.83 1.10 2.61 13.75 0.00 2.34 37.71 2.05

time (sec)

N/A 0.596 0.339 0.115 0.129 0.180 0.000 0.236 0.274 2.928

Problem 181

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

89 105 90 104 1010 1950 0 195 228 1655

N.S.

1 1.18 1.01 1.17 11.35 21.91 0.00 2.19 2.56 18.60

time (sec)

N/A 0.561 0.354 0.145 0.368 0.143 0.000 0.205 0.221 3.061

Problem 182

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

72 71 57 84 170 629 0 149 2332 210

N.S.

1 0.99 0.79 1.17 2.36 8.74 0.00 2.07 32.39 2.92

time (sec)

N/A 0.556 0.301 0.089 0.049 0.120 0.000 0.191 0.223 2.914

Problem 183

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

85 99 86 100 614 2025 0 177 232 106

N.S.

1 1.16 1.01 1.18 7.22 23.82 0.00 2.08 2.73 1.25

time (sec)

N/A 0.484 0.268 0.129 0.261 0.129 0.000 0.177 0.214 2.987

Problem 184

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

68 68 55 86 170 623 0 149 2288 129

N.S.

1 1.00 0.81 1.26 2.50 9.16 0.00 2.19 33.65 1.90

time (sec)

N/A 0.363 0.279 0.087 0.049 0.092 0.000 0.162 0.245 2.755

Problem 185

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

89 106 97 103 206 1942 0 195 226 110

N.S.

1 1.19 1.09 1.16 2.31 21.82 0.00 2.19 2.54 1.24

time (sec)

N/A 0.304 0.377 0.135 0.170 0.137 0.000 0.127 0.216 0.458

Problem 186

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

95 94 83 110 235 1148 0 195 1760 0

N.S.

1 0.99 0.87 1.16 2.47 12.08 0.00 2.05 18.53 0.00

time (sec)

N/A 0.352 1.308 0.255 0.058 0.229 0.000 0.179 0.276 0.000

Problem 187

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

119 134 111 120 976 3725 0 336 1911 0

N.S.

1 1.13 0.93 1.01 8.20 31.30 0.00 2.82 16.06 0.00

time (sec)

N/A 0.401 1.115 0.219 0.291 0.176 0.000 0.201 0.317 0.000

Problem 188

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

N/A No Yes Yes TBD TBD TBD TBD TBD TBD

size

124 116 93 131 402 3468 0 323 2786 0

N.S.

1 0.94 0.75 1.06 3.24 27.97 0.00 2.60 22.47 0.00

time (sec)

N/A 0.397 0.600 0.359 0.057 0.309 0.000 0.228 31.605 0.000

Problem 189

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

159 169 139 142 2345 8482 0 281 25 0

N.S.

1 1.06 0.87 0.89 14.75 53.35 0.00 1.77 0.16 0.00

time (sec)

N/A 0.780 0.972 0.258 0.504 0.233 0.000 0.233 200.026 0.000

Problem 190

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

144 173 144 157 3354 7528 0 408 575 2669

N.S.

1 1.20 1.00 1.09 23.29 52.28 0.00 2.83 3.99 18.53

time (sec)

N/A 0.436 0.827 0.219 1.139 0.218 0.000 0.329 0.202 0.847

Problem 191

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

109 105 91 127 376 2584 0 245 11531 416

N.S.

1 0.96 0.83 1.17 3.45 23.71 0.00 2.25 105.79 3.82

time (sec)

N/A 0.367 0.725 0.111 0.075 0.144 0.000 0.305 0.270 0.770

Problem 192

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

137 157 135 148 2432 7757 0 384 580 2574

N.S.

1 1.15 0.99 1.08 17.75 56.62 0.00 2.80 4.23 18.79

time (sec)

N/A 0.378 0.741 0.211 0.809 0.220 0.000 0.293 0.197 2.903

Problem 193

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

98 95 80 115 384 2611 0 245 10556 397

N.S.

1 0.97 0.82 1.17 3.92 26.64 0.00 2.50 107.71 4.05

time (sec)

N/A 0.343 0.328 0.118 0.079 0.140 0.000 0.278 0.273 2.844

Problem 194

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

137 162 137 152 1472 7791 0 388 578 255

N.S.

1 1.18 1.00 1.11 10.74 56.87 0.00 2.83 4.22 1.86

time (sec)

N/A 0.377 0.783 0.187 0.443 0.206 0.000 0.259 0.197 4.487

Problem 195

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

94 91 77 116 378 2554 0 245 10812 235

N.S.

1 0.97 0.82 1.23 4.02 27.17 0.00 2.61 115.02 2.50

time (sec)

N/A 0.315 0.339 0.115 0.082 0.145 0.000 0.237 0.284 3.302

Problem 196

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

142 170 147 156 507 7496 0 409 575 260

N.S.

1 1.20 1.04 1.10 3.57 52.79 0.00 2.88 4.05 1.83

time (sec)

N/A 0.341 0.209 0.178 0.231 0.189 0.000 0.146 0.204 3.110

Problem 197

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

138 134 117 161 498 4800 0 295 5158 0

N.S.

1 0.97 0.85 1.17 3.61 34.78 0.00 2.14 37.38 0.00

time (sec)

N/A 0.394 1.063 0.647 0.083 0.359 0.000 0.272 0.371 0.000

Problem 198

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

178 203 166 167 1944 11865 0 437 4537 0

N.S.

1 1.14 0.93 0.94 10.92 66.66 0.00 2.46 25.49 0.00

time (sec)

N/A 0.766 4.072 0.317 0.592 0.294 0.000 0.296 0.445 0.000

Problem 199

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

N/A No Yes Yes TBD TBD TBD TBD TBD TBD

size

171 160 138 184 770 10720 0 474 25 0

N.S.

1 0.94 0.81 1.08 4.50 62.69 0.00 2.77 0.15 0.00

time (sec)

N/A 0.709 1.220 0.905 0.107 0.579 0.000 0.373 200.025 0.000

Problem 200

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

228 248 194 189 4285 22038 0 493 25 0

N.S.

1 1.09 0.85 0.83 18.79 96.66 0.00 2.16 0.11 0.00

time (sec)

N/A 0.816 2.313 0.378 1.130 0.377 0.000 0.379 200.038 0.000