2.2.9 Integrals 801 to 900

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 801

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

71 71 70 0 0 0 0 0 0

N.S.

1 1.00 0.99 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.283 11.079 0.000 0.000 0.000 0.000 0.000 0.000

Problem 802

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

71 71 70 0 0 0 0 0 0

N.S.

1 1.00 0.99 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.269 11.065 0.000 0.000 0.000 0.000 0.000 0.000

Problem 803

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

69 69 68 0 0 0 0 0 0

N.S.

1 1.00 0.99 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.240 11.047 0.000 0.000 0.000 0.000 0.000 0.000

Problem 804

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

69 69 143 0 0 0 0 0 0

N.S.

1 1.00 2.07 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.276 11.148 0.000 0.000 0.000 0.000 0.000 0.000

Problem 805

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

104 104 91 91 0 289 0 106 102

N.S.

1 1.00 0.88 0.88 0.00 2.78 0.00 1.02 0.98

time (sec)

N/A 0.275 0.293 5.060 0.000 0.312 0.000 0.277 9.271

Problem 806

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

74 74 73 72 0 205 0 64 58

N.S.

1 1.00 0.99 0.97 0.00 2.77 0.00 0.86 0.78

time (sec)

N/A 0.207 0.167 4.917 0.000 0.307 0.000 0.268 9.144

Problem 807

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

51 51 51 39 0 130 87 40 40

N.S.

1 1.00 1.00 0.76 0.00 2.55 1.71 0.78 0.78

time (sec)

N/A 0.190 0.070 4.959 0.000 0.325 5.884 0.284 9.046

Problem 808

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

85 85 80 78 0 431 114 71 652

N.S.

1 1.00 0.94 0.92 0.00 5.07 1.34 0.84 7.67

time (sec)

N/A 0.223 0.191 4.896 0.000 0.329 5.308 0.282 9.198

Problem 809

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F A F A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

117 127 109 92 0 565 0 104 396

N.S.

1 1.09 0.93 0.79 0.00 4.83 0.00 0.89 3.38

time (sec)

N/A 0.269 0.439 4.979 0.000 0.363 0.000 0.266 9.649

Problem 810

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

123 134 136 152 0 739 0 0 0

N.S.

1 1.09 1.11 1.24 0.00 6.01 0.00 0.00 0.00

time (sec)

N/A 0.291 0.946 5.620 0.000 0.338 0.000 0.000 0.000

Problem 811

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

91 90 108 85 0 632 0 0 0

N.S.

1 0.99 1.19 0.93 0.00 6.95 0.00 0.00 0.00

time (sec)

N/A 0.239 0.530 5.210 0.000 0.312 0.000 0.000 0.000

Problem 812

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

54 54 74 42 0 245 0 72 0

N.S.

1 1.00 1.37 0.78 0.00 4.54 0.00 1.33 0.00

time (sec)

N/A 0.183 0.789 5.126 0.000 0.300 0.000 0.278 0.000

Problem 813

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

80 80 100 80 0 332 0 116 0

N.S.

1 1.00 1.25 1.00 0.00 4.15 0.00 1.45 0.00

time (sec)

N/A 0.226 0.571 5.349 0.000 0.300 0.000 0.310 0.000

Problem 814

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

115 127 121 103 0 418 0 205 0

N.S.

1 1.10 1.05 0.90 0.00 3.63 0.00 1.78 0.00

time (sec)

N/A 0.294 1.084 6.302 0.000 0.309 0.000 1.158 0.000

Problem 815

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes No No TBD TBD TBD TBD TBD

size

872 1002 249 298 0 0 0 0 0

N.S.

1 1.15 0.29 0.34 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.444 10.346 6.114 0.000 0.000 0.000 0.000 0.000

Problem 816

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

638 958 65 265 0 0 0 0 0

N.S.

1 1.50 0.10 0.42 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.355 10.056 4.722 0.000 0.000 0.000 0.000 0.000

Problem 817

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes No No TBD TBD TBD TBD TBD

size

638 860 161 191 0 0 0 0 0

N.S.

1 1.35 0.25 0.30 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.234 10.076 4.687 0.000 0.000 0.000 0.000 0.000

Problem 818

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes No No TBD TBD TBD TBD TBD

size

677 988 337 288 0 0 0 0 0

N.S.

1 1.46 0.50 0.43 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.387 10.288 6.319 0.000 0.000 0.000 0.000 0.000

Problem 819

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

804 1089 65 292 0 0 0 0 0

N.S.

1 1.35 0.08 0.36 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.545 10.055 4.760 0.000 0.000 0.000 0.000 0.000

Problem 820

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

656 865 65 191 0 0 0 0 0

N.S.

1 1.32 0.10 0.29 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.193 10.055 4.798 0.000 0.000 0.000 0.000 0.000

Problem 821

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A No Yes No TBD TBD TBD TBD TBD

size

833 999 141 310 0 0 0 0 0

N.S.

1 1.20 0.17 0.37 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.518 10.121 6.489 0.000 0.000 0.000 0.000 0.000

Problem 822

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

175 182 175 171 0 622 0 180 186

N.S.

1 1.04 1.00 0.98 0.00 3.55 0.00 1.03 1.06

time (sec)

N/A 0.299 0.679 5.152 0.000 0.623 0.000 0.295 9.455

Problem 823

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

123 144 130 133 0 475 0 134 144

N.S.

1 1.17 1.06 1.08 0.00 3.86 0.00 1.09 1.17

time (sec)

N/A 0.282 0.492 5.176 0.000 0.642 0.000 0.297 9.834

Problem 824

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

99 98 100 83 0 348 0 116 95

N.S.

1 0.99 1.01 0.84 0.00 3.52 0.00 1.17 0.96

time (sec)

N/A 0.237 0.283 5.224 0.000 0.911 0.000 0.277 9.690

Problem 825

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

87 86 86 90 0 302 0 93 84

N.S.

1 0.99 0.99 1.03 0.00 3.47 0.00 1.07 0.97

time (sec)

N/A 0.218 0.281 4.886 0.000 0.353 0.000 0.278 9.537

Problem 826

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F A F A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

132 155 124 146 0 862 0 139 3017

N.S.

1 1.17 0.94 1.11 0.00 6.53 0.00 1.05 22.86

time (sec)

N/A 0.286 0.529 5.007 0.000 0.538 0.000 0.281 10.723

Problem 827

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F A F A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

185 213 163 191 0 1236 0 257 3822

N.S.

1 1.15 0.88 1.03 0.00 6.68 0.00 1.39 20.66

time (sec)

N/A 0.366 0.975 5.134 0.000 0.543 0.000 0.308 11.896

Problem 828

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

191 213 189 164 0 1386 0 333 0

N.S.

1 1.12 0.99 0.86 0.00 7.26 0.00 1.74 0.00

time (sec)

N/A 0.456 2.768 6.404 0.000 1.448 0.000 0.388 0.000

Problem 829

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

141 166 153 117 0 1077 0 298 0

N.S.

1 1.18 1.09 0.83 0.00 7.64 0.00 2.11 0.00

time (sec)

N/A 0.319 1.957 5.705 0.000 0.522 0.000 0.373 0.000

Problem 830

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

93 97 112 81 0 426 0 244 0

N.S.

1 1.04 1.20 0.87 0.00 4.58 0.00 2.62 0.00

time (sec)

N/A 0.239 1.161 5.564 0.000 0.448 0.000 0.858 0.000

Problem 831

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

104 108 124 90 0 467 0 237 0

N.S.

1 1.04 1.19 0.87 0.00 4.49 0.00 2.28 0.00

time (sec)

N/A 0.244 1.454 5.847 0.000 0.661 0.000 0.318 0.000

Problem 832

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

149 157 157 112 0 612 0 418 0

N.S.

1 1.05 1.05 0.75 0.00 4.11 0.00 2.81 0.00

time (sec)

N/A 0.325 1.500 6.038 0.000 0.720 0.000 0.891 0.000

Problem 833

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

208 212 201 134 0 760 0 395 0

N.S.

1 1.02 0.97 0.64 0.00 3.65 0.00 1.90 0.00

time (sec)

N/A 0.415 2.497 6.751 0.000 0.737 0.000 0.942 0.000

Problem 834

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A No No Yes TBD TBD TBD TBD TBD

size

996 1032 253 337 0 0 0 0 0

N.S.

1 1.04 0.25 0.34 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.510 10.297 5.311 0.000 0.000 0.000 0.000 0.000

Problem 835

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD

size

908 1013 238 324 0 0 0 0 0

N.S.

1 1.12 0.26 0.36 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.503 10.229 5.204 0.000 0.000 0.000 0.000 0.000

Problem 836

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A No No Yes TBD TBD TBD TBD TBD

size

983 1016 392 333 0 0 0 0 0

N.S.

1 1.03 0.40 0.34 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.439 10.276 4.959 0.000 0.000 0.000 0.000 0.000

Problem 837

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A No No Yes TBD TBD TBD TBD TBD

size

1046 1074 408 364 0 0 0 0 0

N.S.

1 1.03 0.39 0.35 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.587 10.549 8.392 0.000 0.000 0.000 0.000 0.000

Problem 838

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A No Yes Yes TBD TBD TBD TBD TBD

size

1146 1085 162 353 0 0 0 0 0

N.S.

1 0.95 0.14 0.31 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.553 10.391 5.024 0.000 0.000 0.000 0.000 0.000

Problem 839

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A No Yes Yes TBD TBD TBD TBD TBD

size

1144 1071 172 359 0 0 0 0 0

N.S.

1 0.94 0.15 0.31 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.426 10.175 4.980 0.000 0.000 0.000 0.000 0.000

Problem 840

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A No Yes Yes TBD TBD TBD TBD TBD

size

1225 1148 226 392 0 0 0 0 0

N.S.

1 0.94 0.18 0.32 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.539 10.283 8.135 0.000 0.000 0.000 0.000 0.000

Problem 841

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

200 195 164 0 0 0 182 0 0

N.S.

1 0.98 0.82 0.00 0.00 0.00 0.91 0.00 0.00

time (sec)

N/A 0.368 11.133 0.000 0.000 0.000 6.383 0.000 0.000

Problem 842

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

123 117 110 0 0 0 117 0 0

N.S.

1 0.95 0.89 0.00 0.00 0.00 0.95 0.00 0.00

time (sec)

N/A 0.252 2.272 0.000 0.000 0.000 2.194 0.000 0.000

Problem 843

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

68 68 66 0 0 0 56 0 0

N.S.

1 1.00 0.97 0.00 0.00 0.00 0.82 0.00 0.00

time (sec)

N/A 0.188 0.785 0.000 0.000 0.000 0.601 0.000 0.000

Problem 844

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

81 81 125 0 0 0 0 0 0

N.S.

1 1.00 1.54 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.222 5.606 0.000 0.000 0.000 0.000 0.000 0.000

Problem 845

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

81 81 179 0 0 0 0 0 0

N.S.

1 1.00 2.21 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.223 11.181 0.000 0.000 0.000 0.000 0.000 0.000

Problem 846

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

81 81 77 0 0 0 0 0 0

N.S.

1 1.00 0.95 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.219 11.109 0.000 0.000 0.000 0.000 0.000 0.000

Problem 847

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

198 200 167 0 0 0 0 0 0

N.S.

1 1.01 0.84 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.373 11.186 0.000 0.000 0.000 0.000 0.000 0.000

Problem 848

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

132 132 113 0 0 0 117 0 0

N.S.

1 1.00 0.86 0.00 0.00 0.00 0.89 0.00 0.00

time (sec)

N/A 0.253 5.577 0.000 0.000 0.000 17.871 0.000 0.000

Problem 849

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

71 71 69 0 0 0 56 0 0

N.S.

1 1.00 0.97 0.00 0.00 0.00 0.79 0.00 0.00

time (sec)

N/A 0.190 1.934 0.000 0.000 0.000 0.734 0.000 0.000

Problem 850

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

84 84 169 0 0 0 0 0 0

N.S.

1 1.00 2.01 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.227 11.188 0.000 0.000 0.000 0.000 0.000 0.000

Problem 851

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

84 84 77 0 0 0 0 0 0

N.S.

1 1.00 0.92 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.223 11.112 0.000 0.000 0.000 0.000 0.000 0.000

Problem 852

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

84 84 77 0 0 0 0 0 0

N.S.

1 1.00 0.92 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.230 11.113 0.000 0.000 0.000 0.000 0.000 0.000

Problem 853

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

104 104 91 91 0 288 0 106 103

N.S.

1 1.00 0.88 0.88 0.00 2.77 0.00 1.02 0.99

time (sec)

N/A 0.267 0.292 7.314 0.000 0.527 0.000 0.292 9.193

Problem 854

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

74 74 73 72 0 205 0 64 58

N.S.

1 1.00 0.99 0.97 0.00 2.77 0.00 0.86 0.78

time (sec)

N/A 0.205 0.155 5.396 0.000 0.434 0.000 0.286 9.096

Problem 855

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

51 51 51 39 0 130 87 40 40

N.S.

1 1.00 1.00 0.76 0.00 2.55 1.71 0.78 0.78

time (sec)

N/A 0.189 0.073 5.112 0.000 0.320 8.628 0.298 9.120

Problem 856

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

85 85 80 78 0 431 114 71 652

N.S.

1 1.00 0.94 0.92 0.00 5.07 1.34 0.84 7.67

time (sec)

N/A 0.220 0.193 5.272 0.000 0.305 6.994 0.299 9.297

Problem 857

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F A F A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

117 127 109 92 0 565 0 104 396

N.S.

1 1.09 0.93 0.79 0.00 4.83 0.00 0.89 3.38

time (sec)

N/A 0.265 0.432 5.389 0.000 0.330 0.000 0.288 9.853

Problem 858

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

123 134 136 152 0 739 0 237 0

N.S.

1 1.09 1.11 1.24 0.00 6.01 0.00 1.93 0.00

time (sec)

N/A 0.291 1.410 9.611 0.000 0.825 0.000 0.434 0.000

Problem 859

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

91 90 108 85 0 632 0 156 0

N.S.

1 0.99 1.19 0.93 0.00 6.95 0.00 1.71 0.00

time (sec)

N/A 0.231 0.697 7.217 0.000 0.608 0.000 0.303 0.000

Problem 860

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

54 54 74 42 0 245 0 72 0

N.S.

1 1.00 1.37 0.78 0.00 4.54 0.00 1.33 0.00

time (sec)

N/A 0.186 0.859 6.881 0.000 0.733 0.000 0.300 0.000

Problem 861

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

80 80 100 80 0 332 0 0 0

N.S.

1 1.00 1.25 1.00 0.00 4.15 0.00 0.00 0.00

time (sec)

N/A 0.224 0.720 8.124 0.000 0.372 0.000 0.000 0.000

Problem 862

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

115 127 121 103 0 416 0 0 0

N.S.

1 1.10 1.05 0.90 0.00 3.62 0.00 0.00 0.00

time (sec)

N/A 0.297 1.490 10.953 0.000 0.389 0.000 0.000 0.000

Problem 863

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

64 64 65 0 0 0 0 0 0

N.S.

1 1.00 1.02 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.210 10.049 0.000 0.000 0.000 0.000 0.000 0.000

Problem 864

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

64 64 65 0 0 0 0 0 0

N.S.

1 1.00 1.02 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.222 10.044 0.000 0.000 0.000 0.000 0.000 0.000

Problem 865

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

64 64 65 0 0 0 0 0 0

N.S.

1 1.00 1.02 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.210 10.049 0.000 0.000 0.000 0.000 0.000 0.000

Problem 866

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

59 59 161 0 0 0 0 0 0

N.S.

1 1.00 2.73 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.184 10.189 0.000 0.000 0.000 0.000 0.000 0.000

Problem 867

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

62 62 141 0 0 0 0 0 0

N.S.

1 1.00 2.27 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.205 10.122 0.000 0.000 0.000 0.000 0.000 0.000

Problem 868

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

64 64 141 0 0 0 0 0 0

N.S.

1 1.00 2.20 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.233 10.122 0.000 0.000 0.000 0.000 0.000 0.000

Problem 869

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

64 64 141 0 0 0 0 0 0

N.S.

1 1.00 2.20 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.228 10.134 0.000 0.000 0.000 0.000 0.000 0.000

Problem 870

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

123 144 130 133 0 475 0 134 144

N.S.

1 1.17 1.06 1.08 0.00 3.86 0.00 1.09 1.17

time (sec)

N/A 0.273 0.535 5.356 0.000 0.641 0.000 0.276 9.466

Problem 871

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

99 98 100 83 0 348 0 116 95

N.S.

1 0.99 1.01 0.84 0.00 3.52 0.00 1.17 0.96

time (sec)

N/A 0.225 0.276 5.325 0.000 0.378 0.000 0.279 9.795

Problem 872

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

87 86 86 90 0 302 0 93 84

N.S.

1 0.99 0.99 1.03 0.00 3.47 0.00 1.07 0.97

time (sec)

N/A 0.210 0.251 5.159 0.000 0.411 0.000 0.273 9.241

Problem 873

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F A F A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

132 155 124 146 0 862 0 139 3025

N.S.

1 1.17 0.94 1.11 0.00 6.53 0.00 1.05 22.92

time (sec)

N/A 0.281 0.521 5.352 0.000 0.480 0.000 0.281 10.306

Problem 874

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F A F A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

185 213 163 189 0 1236 0 257 3860

N.S.

1 1.15 0.88 1.02 0.00 6.68 0.00 1.39 20.86

time (sec)

N/A 0.352 1.007 5.446 0.000 0.478 0.000 0.284 11.632

Problem 875

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

141 166 153 117 0 1077 0 343 0

N.S.

1 1.18 1.09 0.83 0.00 7.64 0.00 2.43 0.00

time (sec)

N/A 0.312 2.987 10.579 0.000 0.848 0.000 0.296 0.000

Problem 876

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

93 97 112 81 0 426 0 0 0

N.S.

1 1.04 1.20 0.87 0.00 4.58 0.00 0.00 0.00

time (sec)

N/A 0.230 1.433 9.337 0.000 0.361 0.000 0.000 0.000

Problem 877

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

104 108 124 90 0 467 0 237 0

N.S.

1 1.04 1.19 0.87 0.00 4.49 0.00 2.28 0.00

time (sec)

N/A 0.241 1.599 9.441 0.000 0.506 0.000 0.283 0.000

Problem 878

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

149 157 157 112 0 612 0 0 0

N.S.

1 1.05 1.05 0.75 0.00 4.11 0.00 0.00 0.00

time (sec)

N/A 0.321 1.789 12.056 0.000 0.515 0.000 0.000 0.000

Problem 879

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

208 212 201 134 0 760 0 0 0

N.S.

1 1.02 0.97 0.64 0.00 3.65 0.00 0.00 0.00

time (sec)

N/A 0.406 3.176 18.346 0.000 0.686 0.000 0.000 0.000

Problem 880

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

64 64 169 0 0 0 0 0 0

N.S.

1 1.00 2.64 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.206 10.201 0.000 0.000 0.000 0.000 0.000 0.000

Problem 881

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

64 64 168 0 0 0 0 0 0

N.S.

1 1.00 2.62 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.222 10.193 0.000 0.000 0.000 0.000 0.000 0.000

Problem 882

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

64 64 172 0 0 0 0 0 0

N.S.

1 1.00 2.69 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.205 10.175 0.000 0.000 0.000 0.000 0.000 0.000

Problem 883

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

59 59 329 0 0 0 0 0 0

N.S.

1 1.00 5.58 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.183 10.297 0.000 0.000 0.000 0.000 0.000 0.000

Problem 884

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

62 62 226 0 0 0 0 0 0

N.S.

1 1.00 3.65 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.206 10.297 0.000 0.000 0.000 0.000 0.000 0.000

Problem 885

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

64 64 226 0 0 0 0 0 0

N.S.

1 1.00 3.53 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.235 10.281 0.000 0.000 0.000 0.000 0.000 0.000

Problem 886

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

64 64 225 0 0 0 0 0 0

N.S.

1 1.00 3.52 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.232 10.288 0.000 0.000 0.000 0.000 0.000 0.000

Problem 887

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

104 104 91 91 0 288 0 106 103

N.S.

1 1.00 0.88 0.88 0.00 2.77 0.00 1.02 0.99

time (sec)

N/A 0.261 0.287 8.891 0.000 0.402 0.000 0.274 9.154

Problem 888

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

74 74 73 72 0 205 0 64 58

N.S.

1 1.00 0.99 0.97 0.00 2.77 0.00 0.86 0.78

time (sec)

N/A 0.204 0.153 5.986 0.000 0.422 0.000 0.280 9.110

Problem 889

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

51 51 51 39 0 130 87 40 40

N.S.

1 1.00 1.00 0.76 0.00 2.55 1.71 0.78 0.78

time (sec)

N/A 0.187 0.072 5.898 0.000 0.452 10.988 0.274 9.144

Problem 890

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

85 85 80 78 0 431 114 71 652

N.S.

1 1.00 0.94 0.92 0.00 5.07 1.34 0.84 7.67

time (sec)

N/A 0.216 0.190 6.177 0.000 0.492 9.149 0.269 9.356

Problem 891

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F A F A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

117 127 109 92 0 565 0 104 396

N.S.

1 1.09 0.93 0.79 0.00 4.83 0.00 0.89 3.38

time (sec)

N/A 0.261 0.429 6.098 0.000 0.877 0.000 0.314 10.114

Problem 892

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

123 134 136 152 0 739 0 0 0

N.S.

1 1.09 1.11 1.24 0.00 6.01 0.00 0.00 0.00

time (sec)

N/A 0.287 2.361 22.368 0.000 0.381 0.000 0.000 0.000

Problem 893

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

91 90 108 85 0 632 0 0 0

N.S.

1 0.99 1.19 0.93 0.00 6.95 0.00 0.00 0.00

time (sec)

N/A 0.235 1.093 12.914 0.000 0.395 0.000 0.000 0.000

Problem 894

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

54 54 74 42 0 245 0 72 0

N.S.

1 1.00 1.37 0.78 0.00 4.54 0.00 1.33 0.00

time (sec)

N/A 0.191 0.959 10.886 0.000 0.445 0.000 0.288 0.000

Problem 895

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

80 80 100 80 0 332 0 116 0

N.S.

1 1.00 1.25 1.00 0.00 4.15 0.00 1.45 0.00

time (sec)

N/A 0.226 0.878 14.678 0.000 0.505 0.000 0.283 0.000

Problem 896

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

115 127 121 103 0 416 0 205 0

N.S.

1 1.10 1.05 0.90 0.00 3.62 0.00 1.78 0.00

time (sec)

N/A 0.297 2.498 25.258 0.000 0.521 0.000 1.271 0.000

Problem 897

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

851 976 65 0 0 0 0 0 0

N.S.

1 1.15 0.08 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.387 10.063 0.000 0.000 0.000 0.000 0.000 0.000

Problem 898

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

754 876 65 0 0 0 0 0 0

N.S.

1 1.16 0.09 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.224 10.058 0.000 0.000 0.000 0.000 0.000 0.000

Problem 899

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

878 1006 141 0 0 0 0 0 0

N.S.

1 1.15 0.16 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.417 10.157 0.000 0.000 0.000 0.000 0.000 0.000

Problem 900

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

1005 1111 65 0 0 0 0 0 0

N.S.

1 1.11 0.06 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.570 10.069 0.000 0.000 0.000 0.000 0.000 0.000