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2.2.11 Integrals 1001 to 1100

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 1001

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

106 108 112 122 255 289 0 0 0

N.S.

1 1.02 1.06 1.15 2.41 2.73 0.00 0.00 0.00

time (sec)

N/A 0.289 1.171 0.798 0.379 0.250 0.000 0.000 0.000

Problem 1002

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

106 108 112 269 127 339 0 0 0

N.S.

1 1.02 1.06 2.54 1.20 3.20 0.00 0.00 0.00

time (sec)

N/A 0.298 1.223 0.857 0.368 0.260 0.000 0.000 0.000

Problem 1003

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A B F F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

43 43 43 64 35 67 0 0 62

N.S.

1 1.00 1.00 1.49 0.81 1.56 0.00 0.00 1.44

time (sec)

N/A 0.268 1.125 0.968 0.391 0.230 0.000 0.000 7.056

Problem 1004

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A F F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

90 99 79 75 86 79 0 0 159

N.S.

1 1.10 0.88 0.83 0.96 0.88 0.00 0.00 1.77

time (sec)

N/A 0.298 1.782 0.817 0.407 0.243 0.000 0.000 7.547

Problem 1005

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A F F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

136 153 91 85 136 91 0 0 182

N.S.

1 1.12 0.67 0.62 1.00 0.67 0.00 0.00 1.34

time (sec)

N/A 0.310 2.359 0.846 0.371 0.240 0.000 0.000 7.837

Problem 1006

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

182 207 103 97 186 103 0 0 205

N.S.

1 1.14 0.57 0.53 1.02 0.57 0.00 0.00 1.13

time (sec)

N/A 0.329 3.343 0.874 0.385 0.235 0.000 0.000 8.886

Problem 1007

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

168 162 151 164 1173 507 0 0 0

N.S.

1 0.96 0.90 0.98 6.98 3.02 0.00 0.00 0.00

time (sec)

N/A 0.309 2.877 0.842 0.528 0.267 0.000 0.000 0.000

Problem 1008

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

159 157 133 186 887 432 0 0 0

N.S.

1 0.99 0.84 1.17 5.58 2.72 0.00 0.00 0.00

time (sec)

N/A 0.304 1.970 0.741 0.435 0.266 0.000 0.000 0.000

Problem 1009

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

154 157 126 153 445 361 0 300 0

N.S.

1 1.02 0.82 0.99 2.89 2.34 0.00 1.95 0.00

time (sec)

N/A 0.307 1.465 0.810 0.558 0.266 0.000 2.274 0.000

Problem 1010

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

153 156 86 300 185 360 0 0 0

N.S.

1 1.02 0.56 1.96 1.21 2.35 0.00 0.00 0.00

time (sec)

N/A 0.312 1.299 0.958 0.610 0.261 0.000 0.000 0.000

Problem 1011

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

155 158 88 350 410 386 0 0 0

N.S.

1 1.02 0.57 2.26 2.65 2.49 0.00 0.00 0.00

time (sec)

N/A 0.316 1.687 0.817 0.496 0.261 0.000 0.000 0.000

Problem 1012

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A B A B F F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

43 43 43 75 39 71 0 0 65

N.S.

1 1.00 1.00 1.74 0.91 1.65 0.00 0.00 1.51

time (sec)

N/A 0.263 2.342 0.845 0.375 0.235 0.000 0.000 8.991

Problem 1013

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A F F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

90 99 83 87 94 85 0 0 161

N.S.

1 1.10 0.92 0.97 1.04 0.94 0.00 0.00 1.79

time (sec)

N/A 0.283 3.362 0.842 0.384 0.239 0.000 0.000 7.835

Problem 1014

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

136 153 95 99 148 99 0 0 184

N.S.

1 1.12 0.70 0.73 1.09 0.73 0.00 0.00 1.35

time (sec)

N/A 0.318 4.515 0.803 0.376 0.225 0.000 0.000 8.715

Problem 1015

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

182 207 105 110 202 113 0 0 207

N.S.

1 1.14 0.58 0.60 1.11 0.62 0.00 0.00 1.14

time (sec)

N/A 0.324 5.893 0.777 0.441 0.229 0.000 0.000 9.796

Problem 1016

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

204 205 206 328 787 396 0 0 0

N.S.

1 1.00 1.01 1.61 3.86 1.94 0.00 0.00 0.00

time (sec)

N/A 0.333 5.287 0.850 0.522 0.255 0.000 0.000 0.000

Problem 1017

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

153 156 191 299 540 342 0 0 0

N.S.

1 1.02 1.25 1.95 3.53 2.24 0.00 0.00 0.00

time (sec)

N/A 0.304 2.981 0.824 0.539 0.259 0.000 0.000 0.000

Problem 1018

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

106 108 106 267 319 321 0 0 0

N.S.

1 1.02 1.00 2.52 3.01 3.03 0.00 0.00 0.00

time (sec)

N/A 0.287 1.200 0.885 0.678 0.256 0.000 0.000 0.000

Problem 1019

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A B F F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

41 41 41 50 25 64 0 0 49

N.S.

1 1.00 1.00 1.22 0.61 1.56 0.00 0.00 1.20

time (sec)

N/A 0.253 0.725 0.817 0.361 0.238 0.000 0.000 6.337

Problem 1020

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A F F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

44 44 44 74 16 67 0 0 112

N.S.

1 1.00 1.00 1.68 0.36 1.52 0.00 0.00 2.55

time (sec)

N/A 0.259 0.818 0.803 0.343 0.237 0.000 0.000 6.880

Problem 1021

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

94 103 78 109 0 111 0 0 135

N.S.

1 1.10 0.83 1.16 0.00 1.18 0.00 0.00 1.44

time (sec)

N/A 0.292 1.126 0.798 0.000 0.233 0.000 0.000 6.637

Problem 1022

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

140 157 90 118 0 122 0 0 158

N.S.

1 1.12 0.64 0.84 0.00 0.87 0.00 0.00 1.13

time (sec)

N/A 0.303 1.696 0.892 0.000 0.246 0.000 0.000 7.392

Problem 1023

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

186 211 100 130 0 133 0 0 183

N.S.

1 1.13 0.54 0.70 0.00 0.72 0.00 0.00 0.98

time (sec)

N/A 0.322 2.471 0.844 0.000 0.252 0.000 0.000 7.439

Problem 1024

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

255 257 524 409 915 430 0 0 0

N.S.

1 1.01 2.05 1.60 3.59 1.69 0.00 0.00 0.00

time (sec)

N/A 0.368 9.647 0.806 0.442 0.265 0.000 0.000 0.000

Problem 1025

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

204 208 258 379 660 368 0 0 0

N.S.

1 1.02 1.26 1.86 3.24 1.80 0.00 0.00 0.00

time (sec)

N/A 0.328 6.266 0.840 0.541 0.260 0.000 0.000 0.000

Problem 1026

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

155 158 199 348 386 368 0 0 0

N.S.

1 1.02 1.28 2.25 2.49 2.37 0.00 0.00 0.00

time (sec)

N/A 0.316 2.953 0.806 0.590 0.273 0.000 0.000 0.000

Problem 1027

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A B F F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

43 43 69 62 35 67 0 0 108

N.S.

1 1.00 1.60 1.44 0.81 1.56 0.00 0.00 2.51

time (sec)

N/A 0.270 1.339 0.797 0.950 0.234 0.000 0.000 0.796

Problem 1028

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

90 99 66 64 0 76 0 0 114

N.S.

1 1.10 0.73 0.71 0.00 0.84 0.00 0.00 1.27

time (sec)

N/A 0.283 1.305 0.811 0.000 0.239 0.000 0.000 5.871

Problem 1029

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

137 149 78 88 0 111 0 0 117

N.S.

1 1.09 0.57 0.64 0.00 0.81 0.00 0.00 0.85

time (sec)

N/A 0.309 1.618 0.827 0.000 0.234 0.000 0.000 0.451

Problem 1030

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A F F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

101 107 63 95 45 89 0 0 138

N.S.

1 1.06 0.62 0.94 0.45 0.88 0.00 0.00 1.37

time (sec)

N/A 0.293 1.960 0.706 0.383 0.248 0.000 0.000 6.074

Problem 1031

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

147 161 115 130 0 133 0 0 163

N.S.

1 1.10 0.78 0.88 0.00 0.90 0.00 0.00 1.11

time (sec)

N/A 0.310 3.097 0.823 0.000 0.255 0.000 0.000 7.329

Problem 1032

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

193 215 127 141 0 144 0 0 186

N.S.

1 1.11 0.66 0.73 0.00 0.75 0.00 0.00 0.96

time (sec)

N/A 0.331 4.167 0.825 0.000 0.243 0.000 0.000 7.094

Problem 1033

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

304 309 366 490 1083 444 0 0 0

N.S.

1 1.02 1.20 1.61 3.56 1.46 0.00 0.00 0.00

time (sec)

N/A 0.374 10.716 0.835 0.457 0.270 0.000 0.000 0.000

Problem 1034

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

253 260 277 460 772 382 0 0 0

N.S.

1 1.03 1.09 1.82 3.05 1.51 0.00 0.00 0.00

time (sec)

N/A 0.351 8.613 0.824 0.584 0.284 0.000 0.000 0.000

Problem 1035

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

204 208 220 429 440 382 0 0 0

N.S.

1 1.02 1.08 2.10 2.16 1.87 0.00 0.00 0.00

time (sec)

N/A 0.330 6.413 0.814 0.533 0.268 0.000 0.000 0.000

Problem 1036

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A B F F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

43 43 73 65 39 71 0 0 114

N.S.

1 1.00 1.70 1.51 0.91 1.65 0.00 0.00 2.65

time (sec)

N/A 0.270 3.229 0.811 0.488 0.236 0.000 0.000 6.017

Problem 1037

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A F F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

90 99 79 71 112 79 0 0 136

N.S.

1 1.10 0.88 0.79 1.24 0.88 0.00 0.00 1.51

time (sec)

N/A 0.283 2.674 0.805 0.390 0.248 0.000 0.000 6.183

Problem 1038

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

136 153 89 77 0 87 0 0 137

N.S.

1 1.12 0.65 0.57 0.00 0.64 0.00 0.00 1.01

time (sec)

N/A 0.302 2.380 0.895 0.000 0.230 0.000 0.000 5.956

Problem 1039

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

186 203 90 99 0 122 0 0 128

N.S.

1 1.09 0.48 0.53 0.00 0.66 0.00 0.00 0.69

time (sec)

N/A 0.335 2.743 0.887 0.000 0.240 0.000 0.000 6.003

Problem 1040

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

234 257 115 130 0 133 0 0 140

N.S.

1 1.10 0.49 0.56 0.00 0.57 0.00 0.00 0.60

time (sec)

N/A 0.348 3.542 0.851 0.000 0.259 0.000 0.000 6.839

Problem 1041

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A F F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

154 168 75 105 71 111 0 0 163

N.S.

1 1.09 0.49 0.68 0.46 0.72 0.00 0.00 1.06

time (sec)

N/A 0.318 4.691 0.812 0.397 0.252 0.000 0.000 6.724

Problem 1042

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

200 222 137 151 0 155 0 0 186

N.S.

1 1.11 0.68 0.76 0.00 0.78 0.00 0.00 0.93

time (sec)

N/A 0.332 6.672 0.843 0.000 0.264 0.000 0.000 7.410

Problem 1043

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B B B F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

134 113 113 204 862 240 2225 0 229

N.S.

1 0.84 0.84 1.52 6.43 1.79 16.60 0.00 1.71

time (sec)

N/A 0.380 1.276 3.208 0.633 0.244 1.532 0.000 10.488

Problem 1044

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B A B F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

99 85 75 129 547 150 979 0 230

N.S.

1 0.86 0.76 1.30 5.53 1.52 9.89 0.00 2.32

time (sec)

N/A 0.372 0.775 2.101 0.520 0.254 0.821 0.000 1.608

Problem 1045

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B A B F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

64 59 47 78 272 78 311 0 112

N.S.

1 0.92 0.73 1.22 4.25 1.22 4.86 0.00 1.75

time (sec)

N/A 0.362 0.988 2.756 0.814 0.258 0.475 0.000 0.404

Problem 1046

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A B A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

26 26 26 25 24 27 70 22 40

N.S.

1 1.00 1.00 0.96 0.92 1.04 2.69 0.85 1.54

time (sec)

N/A 0.315 0.448 1.697 0.372 0.246 0.232 1.382 5.622

Problem 1047

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

52 56 52 0 0 0 0 0 0

N.S.

1 1.08 1.00 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.339 0.292 0.000 0.000 0.000 0.000 0.000 0.000

Problem 1048

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

52 56 52 0 0 0 0 0 0

N.S.

1 1.08 1.00 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.346 0.336 0.000 0.000 0.000 0.000 0.000 0.000

Problem 1049

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

52 56 52 0 0 0 0 0 0

N.S.

1 1.08 1.00 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.348 0.343 0.000 0.000 0.000 0.000 0.000 0.000

Problem 1050

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

66 87 87 0 0 0 0 0 0

N.S.

1 1.32 1.32 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.274 0.398 0.000 0.000 0.000 0.000 0.000 0.000

Problem 1051

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F B B F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

134 113 104 204 0 247 2225 0 332

N.S.

1 0.84 0.78 1.52 0.00 1.84 16.60 0.00 2.48

time (sec)

N/A 0.393 2.013 2.982 0.000 0.251 1.502 0.000 11.548

Problem 1052

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F A B F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

99 85 75 129 0 157 979 0 229

N.S.

1 0.86 0.76 1.30 0.00 1.59 9.89 0.00 2.31

time (sec)

N/A 0.378 1.744 2.054 0.000 0.245 0.813 0.000 1.721

Problem 1053

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F A B F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

64 59 47 78 0 85 313 0 112

N.S.

1 0.92 0.73 1.22 0.00 1.33 4.89 0.00 1.75

time (sec)

N/A 0.353 1.270 2.577 0.000 0.240 0.471 0.000 0.600

Problem 1054

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A B A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

26 26 26 25 24 36 71 22 46

N.S.

1 1.00 1.00 0.96 0.92 1.38 2.73 0.85 1.77

time (sec)

N/A 0.298 0.490 1.541 0.341 0.244 0.211 1.263 0.256

Problem 1055

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

52 56 52 0 0 0 0 0 0

N.S.

1 1.08 1.00 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.341 1.188 0.000 0.000 0.000 0.000 0.000 0.000

Problem 1056

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

52 56 52 0 0 0 0 0 0

N.S.

1 1.08 1.00 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.342 1.167 0.000 0.000 0.000 0.000 0.000 0.000

Problem 1057

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

52 56 52 0 0 0 0 0 0

N.S.

1 1.08 1.00 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.340 1.421 0.000 0.000 0.000 0.000 0.000 0.000

Problem 1058

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

52 56 52 0 0 0 0 0 0

N.S.

1 1.08 1.00 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.342 0.338 0.000 0.000 0.000 0.000 0.000 0.000

Problem 1059

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

67 88 141 0 0 0 0 0 0

N.S.

1 1.31 2.10 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.301 20.068 0.000 0.000 0.000 0.000 0.000 0.000

Problem 1060

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

67 88 141 0 0 0 0 0 0

N.S.

1 1.31 2.10 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.283 11.542 0.000 0.000 0.000 0.000 0.000 0.000

Problem 1061

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

65 86 141 0 0 0 0 0 0

N.S.

1 1.32 2.17 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.280 3.513 0.000 0.000 0.000 0.000 0.000 0.000

Problem 1062

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

65 86 141 0 0 0 0 0 0

N.S.

1 1.32 2.17 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.282 9.387 0.000 0.000 0.000 0.000 0.000 0.000

Problem 1063

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

67 88 141 0 0 0 0 0 0

N.S.

1 1.31 2.10 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.284 13.728 0.000 0.000 0.000 0.000 0.000 0.000

Problem 1064

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

67 88 158 0 0 0 0 0 0

N.S.

1 1.31 2.36 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.282 19.425 0.000 0.000 0.000 0.000 0.000 0.000

Problem 1065

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A B A B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

110 99 73 100 109 196 184 312 125

N.S.

1 0.90 0.66 0.91 0.99 1.78 1.67 2.84 1.14

time (sec)

N/A 0.460 1.107 0.306 0.289 0.240 0.367 0.517 5.558

Problem 1066

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

80 70 58 76 83 135 122 214 76

N.S.

1 0.88 0.72 0.95 1.04 1.69 1.52 2.68 0.95

time (sec)

N/A 0.342 0.522 0.225 0.414 0.240 0.296 0.440 5.887

Problem 1067

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

46 46 66 50 52 64 53 103 38

N.S.

1 1.00 1.43 1.09 1.13 1.39 1.15 2.24 0.83

time (sec)

N/A 0.249 0.048 0.184 0.475 0.227 0.219 0.341 5.380

Problem 1068

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

47 47 56 54 0 42 87 83 45

N.S.

1 1.00 1.19 1.15 0.00 0.89 1.85 1.77 0.96

time (sec)

N/A 0.220 0.317 0.299 0.000 0.226 0.143 0.363 5.775

Problem 1069

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

80 79 89 73 0 54 162 110 70

N.S.

1 0.99 1.11 0.91 0.00 0.68 2.02 1.38 0.88

time (sec)

N/A 0.309 0.860 0.308 0.000 0.233 0.186 0.431 5.386

Problem 1070

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

112 111 109 128 0 76 258 129 111

N.S.

1 0.99 0.97 1.14 0.00 0.68 2.30 1.15 0.99

time (sec)

N/A 0.400 1.094 0.299 0.000 0.231 0.267 0.562 5.972

Problem 1071

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

153 132 99 176 181 359 313 630 217

N.S.

1 0.86 0.65 1.15 1.18 2.35 2.05 4.12 1.42

time (sec)

N/A 0.647 1.626 0.342 0.312 0.241 0.541 0.694 6.415

Problem 1072

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

116 100 100 135 144 277 236 482 139

N.S.

1 0.86 0.86 1.16 1.24 2.39 2.03 4.16 1.20

time (sec)

N/A 0.515 1.192 0.282 0.307 0.237 0.416 0.573 6.022

Problem 1073

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A B A B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

78 78 66 94 94 152 119 282 75

N.S.

1 1.00 0.85 1.21 1.21 1.95 1.53 3.62 0.96

time (sec)

N/A 0.394 0.494 0.218 0.314 0.244 0.339 0.437 5.816

Problem 1074

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

75 76 143 126 0 84 170 123 112

N.S.

1 1.01 1.91 1.68 0.00 1.12 2.27 1.64 1.49

time (sec)

N/A 0.278 1.556 0.347 0.000 0.249 0.242 0.477 6.205

Problem 1075

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

91 93 119 132 0 80 258 163 93

N.S.

1 1.02 1.31 1.45 0.00 0.88 2.84 1.79 1.02

time (sec)

N/A 0.392 1.444 0.370 0.000 0.231 0.258 0.549 6.039

Problem 1076

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

129 127 178 212 0 110 401 201 148

N.S.

1 0.98 1.38 1.64 0.00 0.85 3.11 1.56 1.15

time (sec)

N/A 0.498 2.230 0.367 0.000 0.255 0.348 0.685 6.000

Problem 1077

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

190 205 191 269 262 562 476 1052 356

N.S.

1 1.08 1.01 1.42 1.38 2.96 2.51 5.54 1.87

time (sec)

N/A 1.060 3.079 0.431 0.342 0.243 0.700 1.054 5.465

Problem 1078

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

141 141 111 210 218 457 381 852 223

N.S.

1 1.00 0.79 1.49 1.55 3.24 2.70 6.04 1.58

time (sec)

N/A 0.717 4.578 0.334 0.323 0.254 0.615 0.869 6.269

Problem 1079

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

107 107 107 149 145 279 223 560 122

N.S.

1 1.00 1.00 1.39 1.36 2.61 2.08 5.23 1.14

time (sec)

N/A 0.534 1.091 0.239 0.289 0.245 0.461 0.675 5.859

Problem 1080

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

129 127 234 224 0 197 260 176 175

N.S.

1 0.98 1.81 1.74 0.00 1.53 2.02 1.36 1.36

time (sec)

N/A 0.510 2.443 0.360 0.000 0.239 0.391 0.691 6.115

Problem 1081

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

136 149 208 224 0 126 393 215 184

N.S.

1 1.10 1.53 1.65 0.00 0.93 2.89 1.58 1.35

time (sec)

N/A 0.785 5.692 0.355 0.000 0.244 0.406 0.761 6.491

Problem 1082

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

140 144 270 294 0 139 552 269 183

N.S.

1 1.03 1.93 2.10 0.00 0.99 3.94 1.92 1.31

time (sec)

N/A 0.559 2.007 0.384 0.000 0.237 0.425 0.911 6.086

Problem 1083

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

115 126 109 107 140 211 257 238 99

N.S.

1 1.10 0.95 0.93 1.22 1.83 2.23 2.07 0.86

time (sec)

N/A 0.872 1.423 0.402 0.299 0.270 8.688 0.492 7.651

Problem 1084

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

106 96 59 84 114 84 92 122 64

N.S.

1 0.91 0.56 0.79 1.08 0.79 0.87 1.15 0.60

time (sec)

N/A 0.501 1.189 0.328 0.529 0.253 3.627 0.464 6.187

Problem 1085

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

45 45 39 65 90 43 44 68 43

N.S.

1 1.00 0.87 1.44 2.00 0.96 0.98 1.51 0.96

time (sec)

N/A 0.306 0.289 0.258 0.422 0.239 0.687 0.374 6.180

Problem 1086

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

128 106 122 178 0 127 248 167 2639

N.S.

1 0.83 0.95 1.39 0.00 0.99 1.94 1.30 20.62

time (sec)

N/A 0.522 0.745 0.466 0.000 0.244 2.172 0.390 10.054

Problem 1087

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

174 186 160 235 0 183 610 281 1384

N.S.

1 1.07 0.92 1.35 0.00 1.05 3.51 1.61 7.95

time (sec)

N/A 0.864 1.193 0.569 0.000 0.247 5.113 0.456 9.961

Problem 1088

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

234 270 210 370 0 269 1192 424 1952

N.S.

1 1.15 0.90 1.58 0.00 1.15 5.09 1.81 8.34

time (sec)

N/A 1.322 1.672 0.691 0.000 0.245 11.753 0.596 10.895

Problem 1089

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

142 163 189 175 245 298 374 375 133

N.S.

1 1.15 1.33 1.23 1.73 2.10 2.63 2.64 0.94

time (sec)

N/A 0.936 1.879 0.406 0.311 0.270 14.028 0.570 8.325

Problem 1090

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

93 118 169 153 214 140 156 221 139

N.S.

1 1.27 1.82 1.65 2.30 1.51 1.68 2.38 1.49

time (sec)

N/A 0.576 1.274 0.325 0.314 0.243 1.475 0.515 5.948

Problem 1091

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

75 100 74 139 180 125 143 177 135

N.S.

1 1.33 0.99 1.85 2.40 1.67 1.91 2.36 1.80

time (sec)

N/A 0.514 0.844 0.263 0.325 0.245 1.436 0.423 5.800

Problem 1092

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

202 198 223 358 0 329 510 323 1334

N.S.

1 0.98 1.10 1.77 0.00 1.63 2.52 1.60 6.60

time (sec)

N/A 0.845 5.172 0.549 0.000 0.257 12.975 0.487 10.501

Problem 1093

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

271 278 276 572 0 505 966 479 1984

N.S.

1 1.03 1.02 2.11 0.00 1.86 3.56 1.77 7.32

time (sec)

N/A 1.242 3.226 0.767 0.000 0.254 26.277 0.568 11.936

Problem 1094

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

357 387 359 830 0 600 1792 625 2653

N.S.

1 1.08 1.01 2.32 0.00 1.68 5.02 1.75 7.43

time (sec)

N/A 1.835 3.540 1.237 0.000 0.259 59.034 0.776 12.687

Problem 1095

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A B A B B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

134 175 283 239 403 305 377 449 314

N.S.

1 1.31 2.11 1.78 3.01 2.28 2.81 3.35 2.34

time (sec)

N/A 0.801 2.677 0.520 0.474 0.233 3.419 0.723 6.687

Problem 1096

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A B A B B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

125 170 262 216 380 310 391 451 297

N.S.

1 1.36 2.10 1.73 3.04 2.48 3.13 3.61 2.38

time (sec)

N/A 0.800 3.460 0.432 0.457 0.248 3.486 0.653 6.921

Problem 1097

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A B B B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

104 149 89 200 325 272 354 347 281

N.S.

1 1.43 0.86 1.92 3.12 2.62 3.40 3.34 2.70

time (sec)

N/A 0.721 1.831 0.446 0.307 0.247 3.523 0.570 6.088

Problem 1098

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

273 274 280 619 0 709 821 478 1910

N.S.

1 1.00 1.03 2.27 0.00 2.60 3.01 1.75 7.00

time (sec)

N/A 1.199 4.982 0.986 0.000 0.261 46.822 0.597 11.029

Problem 1099

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

354 365 336 834 0 907 1583 772 2640

N.S.

1 1.03 0.95 2.36 0.00 2.56 4.47 2.18 7.46

time (sec)

N/A 1.659 6.837 1.326 0.000 0.277 87.442 0.809 13.459

Problem 1100

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

448 489 418 1092 0 1139 0 754 3368

N.S.

1 1.09 0.93 2.44 0.00 2.54 0.00 1.68 7.52

time (sec)

N/A 2.352 7.218 2.017 0.000 0.288 0.000 0.973 14.394

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