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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 A A F(-1) B F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

131 131 109 303 99 222 0 322 0

N.S.

1 1.00 0.83 2.31 0.76 1.69 0.00 2.46 0.00

time (sec)

N/A 0.185 0.605 1.074 0.253 0.260 0.000 0.267 0.000

Problem 102

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B B A B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

245 245 220 191 525 596 1134 580 393

N.S.

1 1.00 0.90 0.78 2.14 2.43 4.63 2.37 1.60

time (sec)

N/A 0.215 0.937 1.191 0.233 0.259 0.617 0.288 1.883

Problem 103

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B B A B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

174 174 189 141 326 351 694 333 217

N.S.

1 1.00 1.09 0.81 1.87 2.02 3.99 1.91 1.25

time (sec)

N/A 0.154 0.523 1.029 0.194 0.261 0.454 0.272 1.491

Problem 104

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

122 122 86 84 167 164 357 155 104

N.S.

1 1.00 0.70 0.69 1.37 1.34 2.93 1.27 0.85

time (sec)

N/A 0.077 12.522 0.812 0.198 0.250 0.322 0.267 0.418

Problem 105

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

149 149 117 193 150 149 0 135 0

N.S.

1 1.00 0.79 1.30 1.01 1.00 0.00 0.91 0.00

time (sec)

N/A 0.270 0.770 2.357 0.249 0.253 0.000 0.272 0.000

Problem 106

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

170 170 214 313 183 266 0 1134 0

N.S.

1 1.00 1.26 1.84 1.08 1.56 0.00 6.67 0.00

time (sec)

N/A 0.259 0.804 2.410 0.251 0.248 0.000 0.335 0.000

Problem 107

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

236 236 198 625 205 454 0 682 0

N.S.

1 1.00 0.84 2.65 0.87 1.92 0.00 2.89 0.00

time (sec)

N/A 0.396 2.062 2.530 0.263 0.262 0.000 0.270 0.000

Problem 108

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

132 132 206 435 238 364 0 0 0

N.S.

1 1.00 1.56 3.30 1.80 2.76 0.00 0.00 0.00

time (sec)

N/A 0.221 0.994 1.445 0.309 0.254 0.000 0.000 0.000

Problem 109

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

101 101 152 227 0 201 0 0 0

N.S.

1 1.00 1.50 2.25 0.00 1.99 0.00 0.00 0.00

time (sec)

N/A 0.152 0.723 1.338 0.000 0.236 0.000 0.000 0.000

Problem 110

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A B A A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

63 63 185 66 75 60 56 67 56

N.S.

1 1.00 2.94 1.05 1.19 0.95 0.89 1.06 0.89

time (sec)

N/A 0.056 0.378 1.526 0.181 0.237 0.111 0.267 1.091

Problem 111

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

23 23 25 21 102 126 117 23 24

N.S.

1 1.00 1.09 0.91 4.43 5.48 5.09 1.00 1.04

time (sec)

N/A 0.046 26.868 0.343 0.298 0.249 3.311 0.268 0.942

Problem 112

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

23 23 25 21 158 204 187 23 24

N.S.

1 1.00 1.09 0.91 6.87 8.87 8.13 1.00 1.04

time (sec)

N/A 0.044 26.722 0.342 0.333 0.257 10.174 0.317 0.995

Problem 113

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

305 305 473 723 635 917 0 0 0

N.S.

1 1.00 1.55 2.37 2.08 3.01 0.00 0.00 0.00

time (sec)

N/A 0.308 2.885 1.941 0.377 0.263 0.000 0.000 0.000

Problem 114

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

241 241 269 374 0 482 0 0 0

N.S.

1 1.00 1.12 1.55 0.00 2.00 0.00 0.00 0.00

time (sec)

N/A 0.202 1.688 1.411 0.000 0.237 0.000 0.000 0.000

Problem 115

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

158 158 241 113 255 160 167 195 160

N.S.

1 1.00 1.53 0.72 1.61 1.01 1.06 1.23 1.01

time (sec)

N/A 0.083 1.282 1.205 0.209 0.245 0.217 0.272 1.346

Problem 116

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

23 23 25 21 606 793 0 23 24

N.S.

1 1.00 1.09 0.91 26.35 34.48 0.00 1.00 1.04

time (sec)

N/A 0.043 25.917 0.509 0.527 0.259 0.000 0.286 1.061

Problem 117

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

23 23 25 21 723 965 0 23 24

N.S.

1 1.00 1.09 0.91 31.43 41.96 0.00 1.00 1.04

time (sec)

N/A 0.040 26.605 0.501 0.725 0.257 0.000 0.390 1.165

Problem 118

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

181 181 141 174 0 0 0 0 149

N.S.

1 1.00 0.78 0.96 0.00 0.00 0.00 0.00 0.82

time (sec)

N/A 0.156 0.266 0.901 0.000 0.000 0.000 0.000 0.799

Problem 119

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

136 136 125 151 0 0 0 0 126

N.S.

1 1.00 0.92 1.11 0.00 0.00 0.00 0.00 0.93

time (sec)

N/A 0.126 2.143 0.546 0.000 0.000 0.000 0.000 1.121

Problem 120

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

111 111 105 128 0 0 0 0 92

N.S.

1 1.00 0.95 1.15 0.00 0.00 0.00 0.00 0.83

time (sec)

N/A 0.111 0.764 0.467 0.000 0.000 0.000 0.000 1.072

Problem 121

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

66 66 87 105 0 0 0 0 80

N.S.

1 1.00 1.32 1.59 0.00 0.00 0.00 0.00 1.21

time (sec)

N/A 0.059 0.361 0.483 0.000 0.000 0.000 0.000 1.058

Problem 122

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

125 125 96 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 0.111 0.312 0.000 0.000 0.000 0.000 0.000 0.000

Problem 123

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

149 149 133 0 0 0 0 0 0

N.S.

1 1.00 0.89 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.131 0.479 0.000 0.000 0.000 0.000 0.000 0.000

Problem 124

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

204 204 170 0 0 0 0 0 0

N.S.

1 1.00 0.83 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.156 0.587 0.000 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 F F F(-2) F F F(-1)

verified

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

size

377 377 269 0 0 0 0 0 0

N.S.

1 1.00 0.71 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.263 7.661 0.000 0.000 0.000 0.000 0.000 0.000

Problem 126

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

303 303 173 0 0 0 0 0 0

N.S.

1 1.00 0.57 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.198 7.465 0.000 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 F F F(-2) F F F(-1)

verified

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

size

185 185 138 0 0 0 0 0 0

N.S.

1 1.00 0.75 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.104 3.405 0.000 0.000 0.000 0.000 0.000 0.000

Problem 128

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

261 261 146 0 0 0 0 0 0

N.S.

1 1.00 0.56 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.211 1.721 0.000 0.000 0.000 0.000 0.000 0.000

Problem 129

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

302 302 243 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 0.218 2.023 0.000 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 B F F F(-2) F(-1) F F(-1)

verified

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

size

638 638 2918 0 0 0 0 0 0

N.S.

1 1.00 4.57 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.460 15.617 0.000 0.000 0.000 0.000 0.000 0.000

Problem 131

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

506 506 300 0 0 0 0 0 0

N.S.

1 1.00 0.59 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.285 9.753 0.000 0.000 0.000 0.000 0.000 0.000

Problem 132

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

312 312 218 0 0 0 0 0 0

N.S.

1 1.00 0.70 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.143 9.433 0.000 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 F F F(-2) F F F(-1)

verified

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

size

403 403 242 0 0 0 0 0 0

N.S.

1 1.00 0.60 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.311 4.701 0.000 0.000 0.000 0.000 0.000 0.000

Problem 134

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

444 444 347 0 0 0 0 0 0

N.S.

1 1.00 0.78 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.329 5.362 0.000 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 B F F F(-2) F(-1) F F(-1)

verified

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

size

536 536 4751 0 0 0 0 0 0

N.S.

1 1.00 8.86 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.458 10.656 0.000 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 F F F F F F(-1)

verified

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

size

493 493 331 0 0 0 0 0 0

N.S.

1 1.00 0.67 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.190 0.811 0.000 0.000 0.000 0.000 0.000 0.000

Problem 137

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

349 349 276 0 0 0 0 0 0

N.S.

1 1.00 0.79 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.165 0.604 0.000 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 F F F F F F(-1)

verified

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

size

207 207 178 0 0 0 0 0 0

N.S.

1 1.00 0.86 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.082 0.448 0.000 0.000 0.000 0.000 0.000 0.000

Problem 139

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

21 21 23 17 19 40 19 19 20

N.S.

1 1.00 1.10 0.81 0.90 1.90 0.90 0.90 0.95

time (sec)

N/A 0.063 3.740 0.175 0.336 0.245 2.573 0.425 1.116

Problem 140

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

21 21 23 17 19 44 20 19 20

N.S.

1 1.00 1.10 0.81 0.90 2.10 0.95 0.90 0.95

time (sec)

N/A 0.053 3.883 0.175 0.340 0.252 4.811 0.433 1.108

Problem 141

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

807 807 546 0 0 0 0 0 0

N.S.

1 1.00 0.68 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.333 2.131 0.000 0.000 0.000 0.000 0.000 0.000

Problem 142

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

506 506 384 0 0 0 0 0 0

N.S.

1 1.00 0.76 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.234 1.162 0.000 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 F F F F F F(-1)

verified

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

size

288 288 258 0 0 0 0 0 0

N.S.

1 1.00 0.90 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.123 0.766 0.000 0.000 0.000 0.000 0.000 0.000

Problem 144

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

21 21 23 17 19 209 19 19 20

N.S.

1 1.00 1.10 0.81 0.90 9.95 0.90 0.90 0.95

time (sec)

N/A 0.059 21.864 0.180 0.351 0.244 28.433 0.455 1.665

Problem 145

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

21 21 23 17 19 209 20 19 20

N.S.

1 1.00 1.10 0.81 0.90 9.95 0.95 0.90 0.95

time (sec)

N/A 0.057 23.838 0.178 0.357 0.253 52.714 0.445 1.649

Problem 146

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

1016 1016 1200 0 0 0 0 0 0

N.S.

1 1.00 1.18 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.479 2.993 0.000 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 F F F F(-1) F F(-1)

verified

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

size

689 689 482 0 0 0 0 0 0

N.S.

1 1.00 0.70 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.313 1.477 0.000 0.000 0.000 0.000 0.000 0.000

Problem 148

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

416 416 337 0 0 0 0 0 0

N.S.

1 1.00 0.81 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.186 1.056 0.000 0.000 0.000 0.000 0.000 0.000

Problem 149

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

21 21 23 17 19 396 0 19 20

N.S.

1 1.00 1.10 0.81 0.90 18.86 0.00 0.90 0.95

time (sec)

N/A 0.060 36.544 0.193 0.354 0.251 0.000 0.490 2.069

Problem 150

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

21 21 23 17 19 0 17 19 20

N.S.

1 1.00 1.10 0.81 0.90 0.00 0.81 0.90 0.95

time (sec)

N/A 0.048 4.245 0.168 0.354 0.000 2.278 0.361 0.910

Problem 151

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

23 23 25 21 23 48 0 23 24

N.S.

1 1.00 1.09 0.91 1.00 2.09 0.00 1.00 1.04

time (sec)

N/A 0.034 3.029 0.391 0.352 0.266 0.000 0.362 1.065

Problem 152

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

410 410 410 0 375 374 0 0 0

N.S.

1 1.00 1.00 0.00 0.91 0.91 0.00 0.00 0.00

time (sec)

N/A 0.422 1.044 0.000 0.144 0.105 0.000 0.000 0.000

Problem 153

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

268 268 229 0 210 259 0 0 0

N.S.

1 1.00 0.85 0.00 0.78 0.97 0.00 0.00 0.00

time (sec)

N/A 0.250 0.525 0.000 0.090 0.094 0.000 0.000 0.000

Problem 154

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

135 135 207 0 101 134 0 0 0

N.S.

1 1.00 1.53 0.00 0.75 0.99 0.00 0.00 0.00

time (sec)

N/A 0.105 0.385 0.000 0.072 0.087 0.000 0.000 0.000

Problem 155

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

23 23 25 21 23 86 20 23 24

N.S.

1 1.00 1.09 0.91 1.00 3.74 0.87 1.00 1.04

time (sec)

N/A 0.039 3.559 0.305 0.289 0.264 11.915 0.272 0.967

Problem 156

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

23 23 25 21 23 696 0 23 24

N.S.

1 1.00 1.09 0.91 1.00 30.26 0.00 1.00 1.04

time (sec)

N/A 0.040 13.664 0.556 0.310 0.254 0.000 0.285 1.154

Problem 157

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B A B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

89 89 123 110 234 168 264 258 187

N.S.

1 1.00 1.38 1.24 2.63 1.89 2.97 2.90 2.10

time (sec)

N/A 0.098 0.260 1.238 0.196 0.248 0.295 0.269 0.204

Problem 158

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B A B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

67 67 83 83 139 102 151 146 110

N.S.

1 1.00 1.24 1.24 2.07 1.52 2.25 2.18 1.64

time (sec)

N/A 0.067 0.189 1.279 0.195 0.244 0.216 0.284 0.117

Problem 159

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

45 45 43 46 65 51 68 64 49

N.S.

1 1.00 0.96 1.02 1.44 1.13 1.51 1.42 1.09

time (sec)

N/A 0.032 0.127 0.968 0.195 0.234 0.169 0.292 0.822

Problem 160

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

64 64 57 94 71 111 0 68 0

N.S.

1 1.00 0.89 1.47 1.11 1.73 0.00 1.06 0.00

time (sec)

N/A 0.095 0.102 1.006 0.224 0.248 0.000 0.278 0.000

Problem 161

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

87 87 71 149 88 162 0 630 0

N.S.

1 1.00 0.82 1.71 1.01 1.86 0.00 7.24 0.00

time (sec)

N/A 0.110 0.272 1.097 0.232 0.245 0.000 0.309 0.000

Problem 162

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

123 123 95 296 99 274 0 319 0

N.S.

1 1.00 0.77 2.41 0.80 2.23 0.00 2.59 0.00

time (sec)

N/A 0.153 0.408 1.079 0.232 0.251 0.000 0.270 0.000

Problem 163

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B A B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

250 250 235 213 520 418 779 598 481

N.S.

1 1.00 0.94 0.85 2.08 1.67 3.12 2.39 1.92

time (sec)

N/A 0.194 0.692 1.482 0.220 0.256 0.427 0.289 2.613

Problem 164

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

182 182 249 157 322 247 456 344 281

N.S.

1 1.00 1.37 0.86 1.77 1.36 2.51 1.89 1.54

time (sec)

N/A 0.133 0.416 1.354 0.204 0.249 0.328 0.273 1.295

Problem 165

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

116 116 98 111 164 128 219 159 135

N.S.

1 1.00 0.84 0.96 1.41 1.10 1.89 1.37 1.16

time (sec)

N/A 0.071 4.399 1.053 0.195 0.245 0.226 0.285 0.161

Problem 166

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

156 156 134 201 148 232 0 144 0

N.S.

1 1.00 0.86 1.29 0.95 1.49 0.00 0.92 0.00

time (sec)

N/A 0.225 0.223 4.197 0.243 0.259 0.000 0.270 0.000

Problem 167

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

183 183 232 319 181 357 0 1135 0

N.S.

1 1.00 1.27 1.74 0.99 1.95 0.00 6.20 0.00

time (sec)

N/A 0.238 0.444 4.282 0.249 0.258 0.000 0.354 0.000

Problem 168

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

242 242 395 626 203 590 0 678 0

N.S.

1 1.00 1.63 2.59 0.84 2.44 0.00 2.80 0.00

time (sec)

N/A 0.302 0.615 4.362 0.257 0.249 0.000 0.280 0.000

Problem 169

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

404 404 318 0 0 1004 0 0 0

N.S.

1 1.00 0.79 0.00 0.00 2.49 0.00 0.00 0.00

time (sec)

N/A 0.565 0.184 0.000 0.000 0.278 0.000 0.000 0.000

Problem 170

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

296 296 233 0 0 708 0 0 0

N.S.

1 1.00 0.79 0.00 0.00 2.39 0.00 0.00 0.00

time (sec)

N/A 0.478 0.093 0.000 0.000 0.263 0.000 0.000 0.000

Problem 171

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

187 187 142 393 0 455 0 0 0

N.S.

1 1.00 0.76 2.10 0.00 2.43 0.00 0.00 0.00

time (sec)

N/A 0.258 0.028 1.281 0.000 0.263 0.000 0.000 0.000

Problem 172

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

20 20 22 20 22 27 17 22 22

N.S.

1 1.00 1.10 1.00 1.10 1.35 0.85 1.10 1.10

time (sec)

N/A 0.041 0.892 0.518 0.308 0.246 10.270 0.286 0.877

Problem 173

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

20 20 22 20 22 51 19 22 22

N.S.

1 1.00 1.10 1.00 1.10 2.55 0.95 1.10 1.10

time (sec)

N/A 0.038 0.830 0.575 0.365 0.236 59.085 0.468 0.911

Problem 174

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

549 549 428 0 0 3957 0 0 0

N.S.

1 1.00 0.78 0.00 0.00 7.21 0.00 0.00 0.00

time (sec)

N/A 0.703 1.043 0.000 0.000 0.329 0.000 0.000 0.000

Problem 175

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

254 254 194 519 0 1717 0 0 0

N.S.

1 1.00 0.76 2.04 0.00 6.76 0.00 0.00 0.00

time (sec)

N/A 0.313 0.617 1.527 0.000 0.274 0.000 0.000 0.000

Problem 176

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

20 20 22 20 406 55 0 22 22

N.S.

1 1.00 1.10 1.00 20.30 2.75 0.00 1.10 1.10

time (sec)

N/A 0.043 26.611 0.575 0.620 0.244 0.000 0.592 1.001

Problem 177

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

20 20 22 20 606 96 0 22 22

N.S.

1 1.00 1.10 1.00 30.30 4.80 0.00 1.10 1.10

time (sec)

N/A 0.037 26.977 0.501 0.857 0.257 0.000 1.487 1.128

Problem 178

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

544 544 773 1232 0 6396 0 0 0

N.S.

1 1.00 1.42 2.26 0.00 11.76 0.00 0.00 0.00

time (sec)

N/A 1.404 5.029 2.046 0.000 0.354 0.000 0.000 0.000

Problem 179

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

20 20 22 20 1651 83 0 22 22

N.S.

1 1.00 1.10 1.00 82.55 4.15 0.00 1.10 1.10

time (sec)

N/A 0.041 46.764 0.745 2.412 0.264 0.000 1.471 0.980

Problem 180

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

20 20 22 20 2122 141 0 22 22

N.S.

1 1.00 1.10 1.00 106.10 7.05 0.00 1.10 1.10

time (sec)

N/A 0.037 46.118 0.852 3.622 0.288 0.000 60.711 1.092

Problem 181

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

20 20 22 20 22 22 0 22 22

N.S.

1 1.00 1.10 1.00 1.10 1.10 0.00 1.10 1.10

time (sec)

N/A 0.035 3.174 0.435 0.343 0.261 0.000 0.408 0.979

Problem 182

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

543 543 448 0 377 829 0 0 0

N.S.

1 1.00 0.83 0.00 0.69 1.53 0.00 0.00 0.00

time (sec)

N/A 0.547 1.107 0.000 0.143 0.107 0.000 0.000 0.000

Problem 183

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

281 281 254 0 208 517 0 0 0

N.S.

1 1.00 0.90 0.00 0.74 1.84 0.00 0.00 0.00

time (sec)

N/A 0.271 0.464 0.000 0.088 0.088 0.000 0.000 0.000

Problem 184

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

131 131 118 0 101 249 0 0 0

N.S.

1 1.00 0.90 0.00 0.77 1.90 0.00 0.00 0.00

time (sec)

N/A 0.107 0.122 0.000 0.070 0.094 0.000 0.000 0.000

Problem 185

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

20 20 22 20 22 22 17 22 22

N.S.

1 1.00 1.10 1.00 1.10 1.10 0.85 1.10 1.10

time (sec)

N/A 0.043 1.180 0.393 0.279 0.247 1.227 0.276 0.860

Problem 186

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

20 20 22 20 22 38 19 22 22

N.S.

1 1.00 1.10 1.00 1.10 1.90 0.95 1.10 1.10

time (sec)

N/A 0.041 4.845 0.610 0.304 0.246 27.363 0.326 0.931

Problem 187

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

163 163 214 579 318 456 0 0 0

N.S.

1 1.00 1.31 3.55 1.95 2.80 0.00 0.00 0.00

time (sec)

N/A 0.248 1.609 1.984 0.290 0.262 0.000 0.000 0.000

Problem 188

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

130 130 187 321 0 261 0 0 0

N.S.

1 1.00 1.44 2.47 0.00 2.01 0.00 0.00 0.00

time (sec)

N/A 0.182 1.087 1.665 0.000 0.265 0.000 0.000 0.000

Problem 189

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A B A A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

90 90 239 86 108 96 73 111 74

N.S.

1 1.00 2.66 0.96 1.20 1.07 0.81 1.23 0.82

time (sec)

N/A 0.076 0.752 1.888 0.223 0.252 0.150 0.268 1.298

Problem 190

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

35 35 61 28 36 33 24 33 27

N.S.

1 1.00 1.74 0.80 1.03 0.94 0.69 0.94 0.77

time (sec)

N/A 0.030 0.155 0.960 0.190 0.244 0.076 0.267 0.937

Problem 191

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

29 29 31 27 116 154 425 29 30

N.S.

1 1.00 1.07 0.93 4.00 5.31 14.66 1.00 1.03

time (sec)

N/A 0.033 37.760 0.463 0.264 0.263 12.079 0.297 1.006

Problem 192

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

29 29 31 27 194 232 631 29 30

N.S.

1 1.00 1.07 0.93 6.69 8.00 21.76 1.00 1.03

time (sec)

N/A 0.032 29.545 0.464 0.296 0.237 22.541 0.372 1.019

Problem 193

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

241 241 2619 699 671 823 0 0 0

N.S.

1 1.00 10.87 2.90 2.78 3.41 0.00 0.00 0.00

time (sec)

N/A 0.352 3.576 2.896 0.377 0.265 0.000 0.000 0.000

Problem 194

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

184 184 260 385 0 474 0 0 0

N.S.

1 1.00 1.41 2.09 0.00 2.58 0.00 0.00 0.00

time (sec)

N/A 0.271 1.952 2.503 0.000 0.263 0.000 0.000 0.000

Problem 195

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B A A B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

119 119 238 134 238 172 224 251 143

N.S.

1 1.00 2.00 1.13 2.00 1.45 1.88 2.11 1.20

time (sec)

N/A 0.132 2.454 2.062 0.254 0.248 0.277 0.280 1.307

Problem 196

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

52 52 59 60 74 69 99 61 59

N.S.

1 1.00 1.13 1.15 1.42 1.33 1.90 1.17 1.13

time (sec)

N/A 0.066 0.174 1.177 0.190 0.243 0.140 0.279 1.063

Problem 197

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

31 31 33 29 177 203 950 31 32

N.S.

1 1.00 1.06 0.94 5.71 6.55 30.65 1.00 1.03

time (sec)

N/A 0.053 21.378 1.082 0.327 0.232 74.643 0.307 1.086

Problem 198

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

31 31 33 29 270 281 0 31 32

N.S.

1 1.00 1.06 0.94 8.71 9.06 0.00 1.00 1.03

time (sec)

N/A 0.054 22.822 1.062 0.364 0.257 0.000 0.414 1.098

Problem 199

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

393 393 376 1006 0 1044 0 0 0

N.S.

1 1.00 0.96 2.56 0.00 2.66 0.00 0.00 0.00

time (sec)

N/A 0.494 4.700 2.530 0.000 0.310 0.000 0.000 0.000

Problem 200

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

287 287 1661 560 0 595 0 0 0

N.S.

1 1.00 5.79 1.95 0.00 2.07 0.00 0.00 0.00

time (sec)

N/A 0.378 3.722 2.425 0.000 0.255 0.000 0.000 0.000

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