Integrals 401 to 500

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 401

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

53 57 35 37 80 80 83 33 79 81

N.S.

1 1.08 0.66 0.70 1.51 1.51 1.57 0.62 1.49 1.53

time (sec)

N/A 0.364 0.011 0.125 0.029 0.061 0.262 0.113 0.162 18.391

Problem 402

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

34 38 24 26 69 69 71 22 68 70

N.S.

1 1.12 0.71 0.76 2.03 2.03 2.09 0.65 2.00 2.06

time (sec)

N/A 0.326 0.007 0.125 0.032 0.065 0.238 0.110 0.159 0.044

Problem 403

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

16 16 16 15 59 59 63 14 58 61

N.S.

1 1.00 1.00 0.94 3.69 3.69 3.94 0.88 3.62 3.81

time (sec)

N/A 0.263 0.002 0.120 0.034 0.068 0.218 0.120 0.165 0.047

Problem 404

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

102 103 76 85 126 222 128 92 269 122

N.S.

1 1.01 0.75 0.83 1.24 2.18 1.25 0.90 2.64 1.20

time (sec)

N/A 0.438 0.033 0.164 0.036 0.067 0.346 0.137 0.168 18.654

Problem 405

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

116 116 92 98 143 251 150 115 295 141

N.S.

1 1.00 0.79 0.84 1.23 2.16 1.29 0.99 2.54 1.22

time (sec)

N/A 0.483 0.055 0.187 0.035 0.070 0.403 0.107 0.160 0.181

Problem 406

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

140 141 107 111 158 266 165 130 310 155

N.S.

1 1.01 0.76 0.79 1.13 1.90 1.18 0.93 2.21 1.11

time (sec)

N/A 0.520 0.040 0.198 0.043 0.077 0.438 0.106 0.166 18.167

Problem 407

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

156 190 122 107 159 454 218 117 292 153

N.S.

1 1.22 0.78 0.69 1.02 2.91 1.40 0.75 1.87 0.98

time (sec)

N/A 0.553 0.043 0.163 0.116 0.078 0.468 0.111 0.161 17.530

Problem 408

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

145 177 111 96 148 428 204 106 279 143

N.S.

1 1.22 0.77 0.66 1.02 2.95 1.41 0.73 1.92 0.99

time (sec)

N/A 0.530 0.040 0.145 0.108 0.074 0.447 0.137 0.165 0.112

Problem 409

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

131 166 100 84 134 400 178 87 265 130

N.S.

1 1.27 0.76 0.64 1.02 3.05 1.36 0.66 2.02 0.99

time (sec)

N/A 0.446 0.035 0.136 0.109 0.074 0.420 0.121 0.176 17.908

Problem 410

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

121 153 88 80 125 386 182 78 260 122

N.S.

1 1.26 0.73 0.66 1.03 3.19 1.50 0.64 2.15 1.01

time (sec)

N/A 0.415 0.037 0.148 0.118 0.086 0.363 0.106 0.162 18.357

Problem 411

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

122 151 91 80 131 390 194 84 260 119

N.S.

1 1.24 0.75 0.66 1.07 3.20 1.59 0.69 2.13 0.98

time (sec)

N/A 0.407 0.040 0.144 0.116 0.080 0.324 0.114 0.161 18.812

Problem 412

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

123 149 91 78 133 390 196 84 260 117

N.S.

1 1.21 0.74 0.63 1.08 3.17 1.59 0.68 2.11 0.95

time (sec)

N/A 0.407 0.039 0.144 0.112 0.082 0.299 0.135 0.173 0.122

Problem 413

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

124 147 91 78 133 390 196 84 260 116

N.S.

1 1.19 0.73 0.63 1.07 3.15 1.58 0.68 2.10 0.94

time (sec)

N/A 0.395 0.034 0.142 0.113 0.085 0.277 0.110 0.168 18.428

Problem 414

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

125 145 91 80 131 390 190 84 260 118

N.S.

1 1.16 0.73 0.64 1.05 3.12 1.52 0.67 2.08 0.94

time (sec)

N/A 0.390 0.038 0.148 0.118 0.093 0.270 0.107 0.164 18.171

Problem 415

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

113 176 89 120 124 386 177 78 260 121

N.S.

1 1.56 0.79 1.06 1.10 3.42 1.57 0.69 2.30 1.07

time (sec)

N/A 0.424 0.030 0.130 0.112 0.101 0.280 0.108 0.168 17.971

Problem 416

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

126 169 101 87 137 400 187 90 268 132

N.S.

1 1.34 0.80 0.69 1.09 3.17 1.48 0.71 2.13 1.05

time (sec)

N/A 0.446 0.037 0.170 0.114 0.087 0.367 0.137 0.163 0.170

Problem 417

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

147 186 113 97 152 436 209 104 284 146

N.S.

1 1.27 0.77 0.66 1.03 2.97 1.42 0.71 1.93 0.99

time (sec)

N/A 0.464 0.043 0.194 0.132 0.096 0.393 0.133 0.170 18.642

Problem 418

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

158 203 123 109 163 462 221 115 297 158

N.S.

1 1.28 0.78 0.69 1.03 2.92 1.40 0.73 1.88 1.00

time (sec)

N/A 0.515 0.042 0.220 0.118 0.082 0.423 0.110 0.166 18.318

Problem 419

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 16 16 15 19 12 15 20 16

N.S.

1 1.00 0.84 0.84 0.79 1.00 0.63 0.79 1.05 0.84

time (sec)

N/A 0.242 0.005 0.056 0.104 0.066 0.043 0.129 0.167 0.031

Problem 420

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

11 11 11 10 9 9 8 9 13 11

N.S.

1 1.00 1.00 0.91 0.82 0.82 0.73 0.82 1.18 1.00

time (sec)

N/A 0.239 0.001 0.036 0.029 0.068 0.028 0.110 0.174 0.018

Problem 421

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 19 16 15 21 12 15 22 17

N.S.

1 1.00 1.00 0.84 0.79 1.11 0.63 0.79 1.16 0.89

time (sec)

N/A 0.251 0.006 0.062 0.107 0.073 0.037 0.107 0.163 0.028

Problem 422

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

22 18 18 19 18 23 15 18 32 18

N.S.

1 0.82 0.82 0.86 0.82 1.05 0.68 0.82 1.45 0.82

time (sec)

N/A 0.279 0.005 0.042 0.028 0.065 0.032 0.102 0.165 17.606

Problem 423

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

13 13 11 10 9 9 8 9 14 11

N.S.

1 1.00 0.85 0.77 0.69 0.69 0.62 0.69 1.08 0.85

time (sec)

N/A 0.239 0.001 0.043 0.029 0.061 0.028 0.149 0.166 0.044

Problem 424

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

24 24 20 19 18 23 14 19 44 18

N.S.

1 1.00 0.83 0.79 0.75 0.96 0.58 0.79 1.83 0.75

time (sec)

N/A 0.293 0.006 0.049 0.030 0.066 0.031 0.108 0.166 0.062

Problem 425

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

51 51 33 30 41 40 48 48 33 40

N.S.

1 1.00 0.65 0.59 0.80 0.78 0.94 0.94 0.65 0.78

time (sec)

N/A 0.323 0.022 0.127 0.032 0.101 0.320 0.106 0.168 0.072

Problem 426

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

51 51 33 30 41 34 48 42 31 41

N.S.

1 1.00 0.65 0.59 0.80 0.67 0.94 0.82 0.61 0.80

time (sec)

N/A 0.329 0.018 0.100 0.034 0.077 0.197 0.106 0.164 17.625

Problem 427

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

51 51 33 30 41 29 48 37 28 41

N.S.

1 1.00 0.65 0.59 0.80 0.57 0.94 0.73 0.55 0.80

time (sec)

N/A 0.329 0.015 0.103 0.029 0.096 0.118 0.123 0.164 0.051

Problem 428

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

49 49 33 30 41 31 46 41 30 41

N.S.

1 1.00 0.67 0.61 0.84 0.63 0.94 0.84 0.61 0.84

time (sec)

N/A 0.320 0.017 0.108 0.028 0.073 0.211 0.136 0.171 0.047

Problem 429

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

49 49 33 30 44 34 46 51 32 31

N.S.

1 1.00 0.67 0.61 0.90 0.69 0.94 1.04 0.65 0.63

time (sec)

N/A 0.319 0.021 0.117 0.027 0.111 0.216 0.101 0.163 0.053

Problem 430

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

49 49 33 30 43 34 46 55 35 34

N.S.

1 1.00 0.67 0.61 0.88 0.69 0.94 1.12 0.71 0.69

time (sec)

N/A 0.318 0.020 0.120 0.031 0.155 0.250 0.110 0.166 0.052

Problem 431

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

49 49 38 30 47 34 46 48 35 34

N.S.

1 1.00 0.78 0.61 0.96 0.69 0.94 0.98 0.71 0.69

time (sec)

N/A 0.312 0.023 0.126 0.031 0.159 0.341 0.140 0.172 17.757

Problem 432

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

91 91 55 52 73 68 88 86 55 71

N.S.

1 1.00 0.60 0.57 0.80 0.75 0.97 0.95 0.60 0.78

time (sec)

N/A 0.383 0.028 0.336 0.026 0.087 0.515 0.127 0.163 0.040

Problem 433

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

91 91 55 52 73 58 88 74 53 71

N.S.

1 1.00 0.60 0.57 0.80 0.64 0.97 0.81 0.58 0.78

time (sec)

N/A 0.380 0.028 0.221 0.027 0.093 0.334 0.123 0.166 0.031

Problem 434

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

91 91 55 50 73 51 88 69 50 71

N.S.

1 1.00 0.60 0.55 0.80 0.56 0.97 0.76 0.55 0.78

time (sec)

N/A 0.384 0.027 0.245 0.030 0.076 0.206 0.127 0.167 0.031

Problem 435

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

89 89 55 52 90 53 87 73 52 71

N.S.

1 1.00 0.62 0.58 1.01 0.60 0.98 0.82 0.58 0.80

time (sec)

N/A 0.366 0.027 0.153 0.032 0.126 0.289 0.110 0.164 0.031

Problem 436

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

89 89 55 52 76 56 87 89 54 71

N.S.

1 1.00 0.62 0.58 0.85 0.63 0.98 1.00 0.61 0.80

time (sec)

N/A 0.374 0.026 0.164 0.027 0.115 0.291 0.170 0.168 0.033

Problem 437

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

89 89 55 52 76 56 87 94 57 71

N.S.

1 1.00 0.62 0.58 0.85 0.63 0.98 1.06 0.64 0.80

time (sec)

N/A 0.369 0.024 0.167 0.027 0.148 0.319 0.146 0.163 0.033

Problem 438

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

87 87 60 52 82 56 85 95 57 75

N.S.

1 1.00 0.69 0.60 0.94 0.64 0.98 1.09 0.66 0.86

time (sec)

N/A 0.366 0.027 0.179 0.033 0.094 0.372 0.148 0.162 0.060

Problem 439

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

129 129 77 74 105 96 128 124 77 103

N.S.

1 1.00 0.60 0.57 0.81 0.74 0.99 0.96 0.60 0.80

time (sec)

N/A 0.435 0.030 0.819 0.027 0.098 0.792 0.167 0.229 0.041

Problem 440

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

131 131 77 74 105 82 129 106 75 103

N.S.

1 1.00 0.59 0.56 0.80 0.63 0.98 0.81 0.57 0.79

time (sec)

N/A 0.432 0.027 0.316 0.035 0.140 0.524 0.149 0.217 0.038

Problem 441

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

131 131 77 72 105 73 129 101 72 103

N.S.

1 1.00 0.59 0.55 0.80 0.56 0.98 0.77 0.55 0.79

time (sec)

N/A 0.452 0.023 0.342 0.026 0.070 0.341 0.152 0.232 0.039

Problem 442

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

129 129 77 74 155 75 128 105 74 103

N.S.

1 1.00 0.60 0.57 1.20 0.58 0.99 0.81 0.57 0.80

time (sec)

N/A 0.420 0.023 0.256 0.032 0.130 0.402 0.136 0.220 0.038

Problem 443

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

125 125 77 74 108 78 124 127 76 103

N.S.

1 1.00 0.62 0.59 0.86 0.62 0.99 1.02 0.61 0.82

time (sec)

N/A 0.410 0.028 0.273 0.028 0.086 0.422 0.155 0.227 0.041

Problem 444

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

127 127 77 74 108 78 126 132 79 103

N.S.

1 1.00 0.61 0.58 0.85 0.61 0.99 1.04 0.62 0.81

time (sec)

N/A 0.414 0.028 0.274 0.028 0.079 0.453 0.117 0.222 0.041

Problem 445

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

127 127 82 74 114 78 126 133 79 107

N.S.

1 1.00 0.65 0.58 0.90 0.61 0.99 1.05 0.62 0.84

time (sec)

N/A 0.422 0.029 0.285 0.031 0.121 0.535 0.131 0.224 0.041

Problem 446

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

239 349 178 202 300 295 0 306 331 129

N.S.

1 1.46 0.74 0.85 1.26 1.23 0.00 1.28 1.38 0.54

time (sec)

N/A 1.013 0.308 1.925 0.118 0.128 0.000 0.126 0.233 17.922

Problem 447

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

221 326 167 188 273 290 0 277 319 112

N.S.

1 1.48 0.76 0.85 1.24 1.31 0.00 1.25 1.44 0.51

time (sec)

N/A 0.919 0.297 0.963 0.120 0.120 0.000 0.129 0.313 0.129

Problem 448

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

221 324 167 190 282 261 0 278 318 112

N.S.

1 1.47 0.76 0.86 1.28 1.18 0.00 1.26 1.44 0.51

time (sec)

N/A 0.897 0.278 0.487 0.114 0.169 0.000 0.116 0.178 0.126

Problem 449

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

204 301 154 171 256 259 0 277 312 92

N.S.

1 1.48 0.75 0.84 1.25 1.27 0.00 1.36 1.53 0.45

time (sec)

N/A 0.860 0.276 0.433 0.114 0.107 0.000 0.116 0.177 18.236

Problem 450

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

204 301 153 177 265 234 0 275 307 92

N.S.

1 1.48 0.75 0.87 1.30 1.15 0.00 1.35 1.50 0.45

time (sec)

N/A 0.843 0.268 0.351 0.113 0.150 0.000 0.121 0.172 17.797

Problem 451

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

206 301 152 180 255 247 0 264 307 90

N.S.

1 1.46 0.74 0.87 1.24 1.20 0.00 1.28 1.49 0.44

time (sec)

N/A 0.848 0.264 0.355 0.116 0.185 0.000 0.120 0.174 0.112

Problem 452

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

206 305 154 177 261 244 0 269 311 90

N.S.

1 1.48 0.75 0.86 1.27 1.18 0.00 1.31 1.51 0.44

time (sec)

N/A 0.840 0.255 0.342 0.112 0.107 0.000 0.162 0.168 17.906

Problem 453

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

223 325 165 186 268 294 0 294 334 102

N.S.

1 1.46 0.74 0.83 1.20 1.32 0.00 1.32 1.50 0.46

time (sec)

N/A 0.901 0.287 0.426 0.113 0.123 0.000 0.141 0.170 0.130

Problem 454

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

223 329 165 192 275 320 0 276 341 102

N.S.

1 1.48 0.74 0.86 1.23 1.43 0.00 1.24 1.53 0.46

time (sec)

N/A 0.900 0.290 0.455 0.114 0.130 0.000 0.109 0.178 17.755

Problem 455

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

241 352 181 198 290 339 0 307 360 113

N.S.

1 1.46 0.75 0.82 1.20 1.41 0.00 1.27 1.49 0.47

time (sec)

N/A 0.936 0.305 0.445 0.113 0.115 0.000 0.163 0.178 17.844

Problem 456

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

291 419 205 232 361 433 0 345 673 188

N.S.

1 1.44 0.70 0.80 1.24 1.49 0.00 1.19 2.31 0.65

time (sec)

N/A 1.070 0.610 2.516 0.118 0.168 0.000 0.161 0.184 0.136

Problem 457

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

273 396 194 218 334 428 0 316 661 171

N.S.

1 1.45 0.71 0.80 1.22 1.57 0.00 1.16 2.42 0.63

time (sec)

N/A 1.002 0.589 2.501 0.115 0.140 0.000 0.154 0.178 18.368

Problem 458

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

273 394 175 220 343 399 0 317 660 171

N.S.

1 1.44 0.64 0.81 1.26 1.46 0.00 1.16 2.42 0.63

time (sec)

N/A 1.008 0.507 2.382 0.115 0.172 0.000 0.130 0.178 17.806

Problem 459

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

256 371 164 203 317 406 0 314 654 153

N.S.

1 1.45 0.64 0.79 1.24 1.59 0.00 1.23 2.55 0.60

time (sec)

N/A 0.948 0.521 2.353 0.121 0.139 0.000 0.122 0.183 0.115

Problem 460

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

256 371 164 209 326 405 0 313 653 153

N.S.

1 1.45 0.64 0.82 1.27 1.58 0.00 1.22 2.55 0.60

time (sec)

N/A 0.981 0.496 2.388 0.114 0.126 0.000 0.148 0.182 18.417

Problem 461

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

259 371 164 206 323 429 0 317 654 150

N.S.

1 1.43 0.63 0.80 1.25 1.66 0.00 1.22 2.53 0.58

time (sec)

N/A 1.010 0.477 2.398 0.120 0.162 0.000 0.188 0.185 18.407

Problem 462

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

259 375 164 206 332 428 0 316 653 150

N.S.

1 1.45 0.63 0.80 1.28 1.65 0.00 1.22 2.52 0.58

time (sec)

N/A 0.986 0.464 2.352 0.120 0.149 0.000 0.118 0.174 18.132

Problem 463

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

258 370 161 206 323 429 0 317 654 149

N.S.

1 1.43 0.62 0.80 1.25 1.66 0.00 1.23 2.53 0.58

time (sec)

N/A 0.962 0.424 2.300 0.114 0.190 0.000 0.144 0.178 18.732

Problem 464

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

258 374 161 206 332 406 0 316 651 149

N.S.

1 1.45 0.62 0.80 1.29 1.57 0.00 1.22 2.52 0.58

time (sec)

N/A 0.969 0.411 0.477 0.115 0.183 0.000 0.122 0.182 0.120

Problem 465

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

258 369 161 212 317 394 0 302 651 150

N.S.

1 1.43 0.62 0.82 1.23 1.53 0.00 1.17 2.52 0.58

time (sec)

N/A 0.994 0.305 0.510 0.119 0.135 0.000 0.133 0.178 0.108

Problem 466

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

258 373 161 209 322 395 0 308 653 150

N.S.

1 1.45 0.62 0.81 1.25 1.53 0.00 1.19 2.53 0.58

time (sec)

N/A 0.961 0.287 0.440 0.114 0.148 0.000 0.176 0.185 18.607

Problem 467

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

275 393 173 217 328 456 0 327 688 166

N.S.

1 1.43 0.63 0.79 1.19 1.66 0.00 1.19 2.50 0.60

time (sec)

N/A 0.997 0.517 0.599 0.121 0.157 0.000 0.155 0.176 0.144

Problem 468

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

275 397 173 222 335 482 0 308 695 166

N.S.

1 1.44 0.63 0.81 1.22 1.75 0.00 1.12 2.53 0.60

time (sec)

N/A 1.041 0.513 0.565 0.119 0.187 0.000 0.158 0.181 0.180

Problem 469

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

293 420 189 229 350 501 0 349 714 179

N.S.

1 1.43 0.65 0.78 1.19 1.71 0.00 1.19 2.44 0.61

time (sec)

N/A 1.060 0.563 0.652 0.141 0.188 0.000 0.186 0.184 18.672

Problem 470

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

343 489 227 256 421 571 0 383 1015 248

N.S.

1 1.43 0.66 0.75 1.23 1.66 0.00 1.12 2.96 0.72

time (sec)

N/A 1.199 1.034 14.829 0.126 0.167 0.000 0.151 0.187 18.674

Problem 471

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

325 466 216 250 394 566 0 354 1003 231

N.S.

1 1.43 0.66 0.77 1.21 1.74 0.00 1.09 3.09 0.71

time (sec)

N/A 1.162 1.040 14.726 0.120 0.124 0.000 0.146 0.190 18.628

Problem 472

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

325 464 216 245 403 537 0 355 1002 231

N.S.

1 1.43 0.66 0.75 1.24 1.65 0.00 1.09 3.08 0.71

time (sec)

N/A 1.150 0.961 14.768 0.127 0.207 0.000 0.136 0.188 18.491

Problem 473

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

308 441 205 235 377 544 0 352 996 213

N.S.

1 1.43 0.67 0.76 1.22 1.77 0.00 1.14 3.23 0.69

time (sec)

N/A 1.120 1.012 14.742 0.116 0.157 0.000 0.165 0.190 0.231

Problem 474

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

308 441 205 240 386 543 0 351 995 213

N.S.

1 1.43 0.67 0.78 1.25 1.76 0.00 1.14 3.23 0.69

time (sec)

N/A 1.105 0.957 14.626 0.125 0.136 0.000 0.150 0.183 0.131

Problem 475

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

311 441 205 238 383 567 0 355 996 210

N.S.

1 1.42 0.66 0.77 1.23 1.82 0.00 1.14 3.20 0.68

time (sec)

N/A 1.082 0.978 14.700 0.120 0.181 0.000 0.141 0.186 17.733

Problem 476

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

311 445 186 238 392 566 0 354 995 210

N.S.

1 1.43 0.60 0.77 1.26 1.82 0.00 1.14 3.20 0.68

time (sec)

N/A 1.122 0.806 14.635 0.131 0.170 0.000 0.118 0.190 0.131

Problem 477

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

314 440 186 236 385 577 0 355 996 208

N.S.

1 1.40 0.59 0.75 1.23 1.84 0.00 1.13 3.17 0.66

time (sec)

N/A 1.092 0.782 14.659 0.117 0.130 0.000 0.154 0.183 17.808

Problem 478

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

314 444 186 236 394 576 0 354 995 208

N.S.

1 1.41 0.59 0.75 1.25 1.83 0.00 1.13 3.17 0.66

time (sec)

N/A 1.126 0.711 14.665 0.115 0.161 0.000 0.119 0.188 17.758

Problem 479

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

317 439 186 236 385 577 0 355 996 207

N.S.

1 1.38 0.59 0.74 1.21 1.82 0.00 1.12 3.14 0.65

time (sec)

N/A 1.093 0.666 14.628 0.124 0.121 0.000 0.125 0.186 0.121

Problem 480

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

317 443 186 236 394 576 0 354 995 207

N.S.

1 1.40 0.59 0.74 1.24 1.82 0.00 1.12 3.14 0.65

time (sec)

N/A 1.098 0.705 14.567 0.118 0.187 0.000 0.118 0.187 0.133

Problem 481

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

312 438 183 238 383 567 0 355 996 209

N.S.

1 1.40 0.59 0.76 1.23 1.82 0.00 1.14 3.19 0.67

time (sec)

N/A 1.134 0.580 14.545 0.122 0.110 0.000 0.125 0.190 17.755

Problem 482

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

312 442 183 238 392 540 0 354 993 209

N.S.

1 1.42 0.59 0.76 1.26 1.73 0.00 1.13 3.18 0.67

time (sec)

N/A 1.098 0.523 0.586 0.126 0.119 0.000 0.160 0.189 0.140

Problem 483

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

310 437 183 244 377 526 0 340 993 210

N.S.

1 1.41 0.59 0.79 1.22 1.70 0.00 1.10 3.20 0.68

time (sec)

N/A 1.093 0.386 0.668 0.117 0.124 0.000 0.145 0.190 0.132

Problem 484

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

310 441 183 237 382 537 0 346 995 210

N.S.

1 1.42 0.59 0.76 1.23 1.73 0.00 1.12 3.21 0.68

time (sec)

N/A 1.076 0.389 0.668 0.123 0.134 0.000 0.138 0.182 17.757

Problem 485

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

327 461 195 249 388 618 0 365 1042 226

N.S.

1 1.41 0.60 0.76 1.19 1.89 0.00 1.12 3.19 0.69

time (sec)

N/A 1.158 0.873 0.752 0.128 0.228 0.000 0.133 0.193 0.218

Problem 486

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

327 465 195 254 395 644 0 356 1049 226

N.S.

1 1.42 0.60 0.78 1.21 1.97 0.00 1.09 3.21 0.69

time (sec)

N/A 1.129 0.843 0.840 0.122 0.246 0.000 0.160 0.190 17.828

Problem 487

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

345 488 211 261 410 663 0 362 1068 239

N.S.

1 1.41 0.61 0.76 1.19 1.92 0.00 1.05 3.10 0.69

time (sec)

N/A 1.287 0.861 0.918 0.131 0.220 0.000 0.149 0.190 17.902

Problem 488

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

79 49 91 24 13 13 0 29 15 71

N.S.

1 0.62 1.15 0.30 0.16 0.16 0.00 0.37 0.19 0.90

time (sec)

N/A 0.329 0.327 0.174 0.026 0.090 0.000 0.114 0.169 18.034

Problem 489

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

67 71 39 24 13 13 0 23 15 59

N.S.

1 1.06 0.58 0.36 0.19 0.19 0.00 0.34 0.22 0.88

time (sec)

N/A 0.342 1.009 0.131 0.031 0.097 0.000 0.155 0.172 18.716

Problem 490

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

36 36 88 23 14 13 0 22 14 33

N.S.

1 1.00 2.44 0.64 0.39 0.36 0.00 0.61 0.39 0.92

time (sec)

N/A 0.284 0.269 0.127 0.025 0.120 0.000 0.141 0.168 18.328

Problem 491

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

75 45 454 26 14 11 0 30 11 109

N.S.

1 0.60 6.05 0.35 0.19 0.15 0.00 0.40 0.15 1.45

time (sec)

N/A 0.314 0.557 0.142 0.031 0.091 0.000 0.148 0.168 17.863

Problem 492

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

75 45 178 28 14 17 0 45 17 112

N.S.

1 0.60 2.37 0.37 0.19 0.23 0.00 0.60 0.23 1.49

time (sec)

N/A 0.321 0.197 0.123 0.025 0.074 0.000 0.142 0.171 17.881

Problem 493

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

39 39 37 22 13 13 0 30 15 33

N.S.

1 1.00 0.95 0.56 0.33 0.33 0.00 0.77 0.38 0.85

time (sec)

N/A 0.304 1.011 0.104 0.031 0.131 0.000 0.119 0.169 17.488

Problem 494

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

79 49 39 24 15 15 0 31 15 35

N.S.

1 0.62 0.49 0.30 0.19 0.19 0.00 0.39 0.19 0.44

time (sec)

N/A 0.320 1.007 0.105 0.030 0.107 0.000 0.145 0.165 17.508

Problem 495

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

79 49 39 24 15 15 0 31 15 35

N.S.

1 0.62 0.49 0.30 0.19 0.19 0.00 0.39 0.19 0.44

time (sec)

N/A 0.325 1.013 0.107 0.032 0.151 0.000 0.149 0.168 17.547

Problem 496

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

79 49 39 24 15 15 0 31 15 35

N.S.

1 0.62 0.49 0.30 0.19 0.19 0.00 0.39 0.19 0.44

time (sec)

N/A 0.323 1.009 0.111 0.027 0.122 0.000 0.102 0.175 17.817

Problem 497

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

79 49 39 36 13 13 0 29 15 0

N.S.

1 0.62 0.49 0.46 0.16 0.16 0.00 0.37 0.19 0.00

time (sec)

N/A 0.325 1.008 1.546 0.030 0.123 0.000 0.156 0.165 0.000

Problem 498

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

79 49 39 36 13 13 0 29 15 0

N.S.

1 0.62 0.49 0.46 0.16 0.16 0.00 0.37 0.19 0.00

time (sec)

N/A 0.328 1.007 1.043 0.030 0.075 0.000 0.111 0.163 0.000

Problem 499

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

74 50 36 33 10 10 0 20 12 0

N.S.

1 0.68 0.49 0.45 0.14 0.14 0.00 0.27 0.16 0.00

time (sec)

N/A 0.306 0.005 0.648 0.029 0.144 0.000 0.118 0.171 0.000

Problem 500

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

72 42 35 34 10 13 0 26 13 0

N.S.

1 0.58 0.49 0.47 0.14 0.18 0.00 0.36 0.18 0.00

time (sec)

N/A 0.325 1.007 0.998 0.027 0.083 0.000 0.140 0.166 0.000