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2.2.22 Integrals 2101 to 2200

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 2101

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F A F F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

60 60 49 75 0 92 0 0 150

N.S.

1 1.00 0.82 1.25 0.00 1.53 0.00 0.00 2.50

time (sec)

N/A 0.185 0.060 3.515 0.000 0.328 0.000 0.000 9.825

Problem 2102

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F A F F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

128 128 76 170 0 255 0 0 293

N.S.

1 1.00 0.59 1.33 0.00 1.99 0.00 0.00 2.29

time (sec)

N/A 0.263 0.073 2.979 0.000 0.285 0.000 0.000 10.105

Problem 2103

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F B F F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

206 212 131 381 0 580 0 0 595

N.S.

1 1.03 0.64 1.85 0.00 2.82 0.00 0.00 2.89

time (sec)

N/A 0.349 0.098 3.536 0.000 0.338 0.000 0.000 10.483

Problem 2104

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A B F B F F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

288 296 217 745 0 1051 0 0 1036

N.S.

1 1.03 0.75 2.59 0.00 3.65 0.00 0.00 3.60

time (sec)

N/A 0.442 0.130 3.120 0.000 0.342 0.000 0.000 11.287

Problem 2105

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

54 54 42 57 33 57 0 81 57

N.S.

1 1.00 0.78 1.06 0.61 1.06 0.00 1.50 1.06

time (sec)

N/A 0.179 0.013 3.543 0.210 0.379 0.000 0.281 9.923

Problem 2106

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

52 52 41 56 30 55 0 79 56

N.S.

1 1.00 0.79 1.08 0.58 1.06 0.00 1.52 1.08

time (sec)

N/A 0.181 0.009 2.849 0.221 0.364 0.000 0.281 9.881

Problem 2107

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

69 69 135 133 135 135 146 146 131

N.S.

1 1.00 1.96 1.93 1.96 1.96 2.12 2.12 1.90

time (sec)

N/A 0.267 0.028 2.488 0.194 0.345 0.030 0.265 9.783

Problem 2108

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

69 69 104 101 102 102 110 110 100

N.S.

1 1.00 1.51 1.46 1.48 1.48 1.59 1.59 1.45

time (sec)

N/A 0.239 0.017 2.485 0.199 0.334 0.025 0.262 0.047

Problem 2109

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

69 69 73 70 69 69 73 75 69

N.S.

1 1.00 1.06 1.01 1.00 1.00 1.06 1.09 1.00

time (sec)

N/A 0.226 0.014 2.520 0.190 0.290 0.024 0.264 9.755

Problem 2110

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

42 42 42 37 36 36 39 40 38

N.S.

1 1.00 1.00 0.88 0.86 0.86 0.93 0.95 0.90

time (sec)

N/A 0.192 0.009 0.135 0.202 0.279 0.017 0.257 0.044

Problem 2111

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

20 20 20 17 16 16 15 16 16

N.S.

1 1.00 1.00 0.85 0.80 0.80 0.75 0.80 0.80

time (sec)

N/A 0.153 0.000 0.038 0.197 0.273 0.015 0.254 0.025

Problem 2112

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

52 52 48 49 50 52 44 50 51

N.S.

1 1.00 0.92 0.94 0.96 1.00 0.85 0.96 0.98

time (sec)

N/A 0.211 0.012 2.426 0.192 0.282 0.105 0.264 9.791

Problem 2113

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

55 55 49 54 58 78 49 109 59

N.S.

1 1.00 0.89 0.98 1.05 1.42 0.89 1.98 1.07

time (sec)

N/A 0.212 0.019 4.561 0.194 0.275 0.174 0.262 0.072

Problem 2114

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

62 62 57 57 71 87 68 60 67

N.S.

1 1.00 0.92 0.92 1.15 1.40 1.10 0.97 1.08

time (sec)

N/A 0.224 0.014 2.363 0.206 0.273 0.257 0.274 9.775

Problem 2115

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

67 67 50 52 77 77 82 51 76

N.S.

1 1.00 0.75 0.78 1.15 1.15 1.22 0.76 1.13

time (sec)

N/A 0.222 0.014 2.593 0.187 0.290 0.410 0.262 0.044

Problem 2116

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

69 69 49 51 86 86 92 86 86

N.S.

1 1.00 0.71 0.74 1.25 1.25 1.33 1.25 1.25

time (sec)

N/A 0.218 0.014 2.255 0.190 0.295 0.609 0.267 9.785

Problem 2117

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

69 69 51 53 101 101 107 52 101

N.S.

1 1.00 0.74 0.77 1.46 1.46 1.55 0.75 1.46

time (sec)

N/A 0.223 0.014 2.531 0.224 0.294 0.906 0.262 0.066

Problem 2118

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

156 156 283 283 277 277 337 340 283

N.S.

1 1.00 1.81 1.81 1.78 1.78 2.16 2.18 1.81

time (sec)

N/A 0.442 0.052 2.830 0.190 0.296 0.040 0.259 0.110

Problem 2119

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

156 156 223 219 218 218 260 259 218

N.S.

1 1.00 1.43 1.40 1.40 1.40 1.67 1.66 1.40

time (sec)

N/A 0.389 0.041 2.987 0.201 0.298 0.034 0.289 0.076

Problem 2120

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

156 156 153 155 146 146 173 178 146

N.S.

1 1.00 0.98 0.99 0.94 0.94 1.11 1.14 0.94

time (sec)

N/A 0.356 0.026 3.007 0.203 0.309 0.031 0.268 9.808

Problem 2121

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

96 96 96 90 90 90 100 99 89

N.S.

1 1.00 1.00 0.94 0.94 0.94 1.04 1.03 0.93

time (sec)

N/A 0.265 0.015 2.856 0.207 0.314 0.024 0.266 9.755

Problem 2122

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

46 46 46 41 45 40 42 42 41

N.S.

1 1.00 1.00 0.89 0.98 0.87 0.91 0.91 0.89

time (sec)

N/A 0.190 0.006 2.966 0.191 0.269 0.018 0.261 0.022

Problem 2123

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

129 129 128 170 168 170 143 191 185

N.S.

1 1.00 0.99 1.32 1.30 1.32 1.11 1.48 1.43

time (sec)

N/A 0.345 0.039 2.882 0.192 0.295 0.240 0.270 0.054

Problem 2124

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A B A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

131 131 127 183 175 259 170 257 203

N.S.

1 1.00 0.97 1.40 1.34 1.98 1.30 1.96 1.55

time (sec)

N/A 0.333 0.068 3.175 0.205 0.278 0.469 0.263 0.074

Problem 2125

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A B A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

138 138 176 180 185 286 211 187 200

N.S.

1 1.00 1.28 1.30 1.34 2.07 1.53 1.36 1.45

time (sec)

N/A 0.339 0.046 2.855 0.195 0.388 1.191 0.271 0.087

Problem 2126

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A B A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

139 139 176 179 194 282 218 180 203

N.S.

1 1.00 1.27 1.29 1.40 2.03 1.57 1.29 1.46

time (sec)

N/A 0.334 0.053 2.997 0.201 0.363 3.180 0.284 9.867

Problem 2127

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

150 150 170 182 215 263 238 306 186

N.S.

1 1.00 1.13 1.21 1.43 1.75 1.59 2.04 1.24

time (sec)

N/A 0.335 0.045 3.002 0.209 0.398 17.031 0.271 9.851

Problem 2128

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

151 151 160 179 219 219 0 192 221

N.S.

1 1.00 1.06 1.19 1.45 1.45 0.00 1.27 1.46

time (sec)

N/A 0.322 0.045 5.107 0.201 0.415 0.000 0.275 0.086

Problem 2129

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

156 156 159 178 229 229 0 192 233

N.S.

1 1.00 1.02 1.14 1.47 1.47 0.00 1.23 1.49

time (sec)

N/A 0.323 0.040 2.927 0.209 0.642 0.000 0.266 9.900

Problem 2130

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

156 156 161 183 245 245 0 193 249

N.S.

1 1.00 1.03 1.17 1.57 1.57 0.00 1.24 1.60

time (sec)

N/A 0.319 0.046 2.944 0.215 0.277 0.000 0.272 0.118

Problem 2131

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A B A A B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

272 272 497 526 484 484 620 624 506

N.S.

1 1.00 1.83 1.93 1.78 1.78 2.28 2.29 1.86

time (sec)

N/A 0.695 0.103 2.836 0.203 0.261 0.055 0.269 10.216

Problem 2132

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

272 272 372 406 367 367 484 479 381

N.S.

1 1.00 1.37 1.49 1.35 1.35 1.78 1.76 1.40

time (sec)

N/A 0.593 0.080 3.175 0.199 0.274 0.046 0.263 0.137

Problem 2133

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

272 272 282 282 275 275 332 330 276

N.S.

1 1.00 1.04 1.04 1.01 1.01 1.22 1.21 1.01

time (sec)

N/A 0.550 0.058 2.835 0.197 0.273 0.039 0.268 0.099

Problem 2134

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

161 161 161 164 163 163 190 187 163

N.S.

1 1.00 1.00 1.02 1.01 1.01 1.18 1.16 1.01

time (sec)

N/A 0.381 0.026 2.839 0.192 0.255 0.030 0.268 0.069

Problem 2135

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

81 81 81 80 85 77 85 82 72

N.S.

1 1.00 1.00 0.99 1.05 0.95 1.05 1.01 0.89

time (sec)

N/A 0.238 0.009 4.468 0.191 0.260 0.023 0.269 10.035

Problem 2136

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

260 260 308 432 401 403 384 493 433

N.S.

1 1.00 1.18 1.66 1.54 1.55 1.48 1.90 1.67

time (sec)

N/A 0.556 0.097 3.170 0.204 0.277 0.465 0.280 9.998

Problem 2137

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

256 256 255 447 410 580 411 567 592

N.S.

1 1.00 1.00 1.75 1.60 2.27 1.61 2.21 2.31

time (sec)

N/A 0.552 0.062 2.951 0.199 0.391 1.051 0.276 10.123

Problem 2138

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A B A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

255 255 265 441 417 638 466 465 521

N.S.

1 1.00 1.04 1.73 1.64 2.50 1.83 1.82 2.04

time (sec)

N/A 0.557 0.074 3.002 0.202 0.362 3.438 0.282 10.163

Problem 2139

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A B B A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

251 251 260 441 430 664 502 457 484

N.S.

1 1.00 1.04 1.76 1.71 2.65 2.00 1.82 1.93

time (sec)

N/A 0.529 0.067 2.984 0.209 0.342 62.872 0.274 0.144

Problem 2140

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

251 251 402 430 441 647 0 690 475

N.S.

1 1.00 1.60 1.71 1.76 2.58 0.00 2.75 1.89

time (sec)

N/A 0.506 0.111 2.878 0.206 0.399 0.000 0.290 9.983

Problem 2141

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

256 256 396 444 449 600 0 447 493

N.S.

1 1.00 1.55 1.73 1.75 2.34 0.00 1.75 1.93

time (sec)

N/A 0.501 0.155 3.245 0.212 0.419 0.000 0.273 9.945

Problem 2142

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

266 266 385 438 469 545 0 457 497

N.S.

1 1.00 1.45 1.65 1.76 2.05 0.00 1.72 1.87

time (sec)

N/A 0.493 0.102 4.801 0.211 0.270 0.000 0.271 9.907

Problem 2143

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

268 268 377 437 472 472 0 493 502

N.S.

1 1.00 1.41 1.63 1.76 1.76 0.00 1.84 1.87

time (sec)

N/A 0.465 0.093 3.252 0.220 0.275 0.000 0.278 0.166

Problem 2144

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

269 269 375 436 482 482 0 493 512

N.S.

1 1.00 1.39 1.62 1.79 1.79 0.00 1.83 1.90

time (sec)

N/A 0.483 0.108 3.042 0.215 0.290 0.000 0.269 0.158

Problem 2145

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

272 272 378 442 499 499 0 494 530

N.S.

1 1.00 1.39 1.62 1.83 1.83 0.00 1.82 1.95

time (sec)

N/A 0.470 0.095 2.932 0.218 0.329 0.000 0.261 9.887

Problem 2146

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

443 443 766 838 762 762 998 1001 817

N.S.

1 1.00 1.73 1.89 1.72 1.72 2.25 2.26 1.84

time (sec)

N/A 1.096 0.160 3.175 0.211 0.310 0.072 0.275 9.997

Problem 2147

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

443 443 611 646 614 614 777 769 630

N.S.

1 1.00 1.38 1.46 1.39 1.39 1.75 1.74 1.42

time (sec)

N/A 0.999 0.123 3.019 0.190 0.272 0.066 0.269 0.218

Problem 2148

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

441 441 428 454 436 436 537 537 445

N.S.

1 1.00 0.97 1.03 0.99 0.99 1.22 1.22 1.01

time (sec)

N/A 0.857 0.087 4.856 0.188 0.268 0.049 0.269 9.895

Problem 2149

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

268 268 268 264 276 276 313 307 263

N.S.

1 1.00 1.00 0.99 1.03 1.03 1.17 1.15 0.98

time (sec)

N/A 0.536 0.043 3.038 0.187 0.355 0.038 0.265 0.136

Problem 2150

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

133 133 133 131 136 131 141 138 124

N.S.

1 1.00 1.00 0.98 1.02 0.98 1.06 1.04 0.93

time (sec)

N/A 0.326 0.013 2.911 0.195 0.353 0.029 0.281 0.070

Problem 2151

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A B A A A B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

428 428 616 875 797 799 808 1013 870

N.S.

1 1.00 1.44 2.04 1.86 1.87 1.89 2.37 2.03

time (sec)

N/A 0.928 0.241 3.308 0.201 0.375 0.819 0.269 9.804

Problem 2152

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A B A B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

426 426 780 892 807 1095 847 1069 1679

N.S.

1 1.00 1.83 2.09 1.89 2.57 1.99 2.51 3.94

time (sec)

N/A 0.920 0.197 4.747 0.203 0.382 1.915 0.261 9.881

Problem 2153

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A B A B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

430 430 440 890 819 1218 906 958 1444

N.S.

1 1.00 1.02 2.07 1.90 2.83 2.11 2.23 3.36

time (sec)

N/A 0.933 0.118 3.207 0.226 0.661 9.793 0.268 9.928

Problem 2154

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

417 417 425 887 827 1282 0 933 1143

N.S.

1 1.00 1.02 2.13 1.98 3.07 0.00 2.24 2.74

time (sec)

N/A 0.943 0.133 3.211 0.225 0.288 0.000 0.261 9.971

Problem 2155

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

426 426 430 888 843 1303 0 1301 1005

N.S.

1 1.00 1.01 2.08 1.98 3.06 0.00 3.05 2.36

time (sec)

N/A 0.886 0.126 3.231 0.216 0.300 0.000 0.272 9.936

Problem 2156

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

414 414 419 887 850 1262 0 909 959

N.S.

1 1.00 1.01 2.14 2.05 3.05 0.00 2.20 2.32

time (sec)

N/A 0.870 0.133 3.004 0.223 0.283 0.000 0.267 0.219

Problem 2157

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

426 426 764 889 866 1191 0 910 955

N.S.

1 1.00 1.79 2.09 2.03 2.80 0.00 2.14 2.24

time (sec)

N/A 0.825 0.212 5.038 0.227 0.332 0.000 0.259 9.918

Problem 2158

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

424 424 748 892 872 1082 0 900 1306

N.S.

1 1.00 1.76 2.10 2.06 2.55 0.00 2.12 3.08

time (sec)

N/A 0.844 0.301 8.692 0.218 0.308 0.000 0.273 10.078

Problem 2159

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

435 435 740 889 894 998 0 910 1168

N.S.

1 1.00 1.70 2.04 2.06 2.29 0.00 2.09 2.69

time (sec)

N/A 0.818 0.245 26.773 0.241 0.293 0.000 0.263 10.073

Problem 2160

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

436 436 730 880 893 893 0 1014 966

N.S.

1 1.00 1.67 2.02 2.05 2.05 0.00 2.33 2.22

time (sec)

N/A 0.779 0.212 57.198 0.228 0.383 0.000 0.263 0.264

Problem 2161

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

443 443 731 880 906 906 0 1014 979

N.S.

1 1.00 1.65 1.99 2.05 2.05 0.00 2.29 2.21

time (sec)

N/A 0.753 0.197 9.555 0.244 0.356 0.000 0.279 10.097

Problem 2162

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

440 440 731 887 924 924 0 1015 997

N.S.

1 1.00 1.66 2.02 2.10 2.10 0.00 2.31 2.27

time (sec)

N/A 0.740 0.209 7.766 0.243 0.369 0.000 0.280 10.158

Problem 2163

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

32 32 32 26 26 26 26 26 26

N.S.

1 1.00 1.00 0.81 0.81 0.81 0.81 0.81 0.81

time (sec)

N/A 0.174 0.001 9.655 0.200 0.343 0.018 0.258 0.028

Problem 2164

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

36 36 36 26 26 26 31 26 26

N.S.

1 1.00 1.00 0.72 0.72 0.72 0.86 0.72 0.72

time (sec)

N/A 0.177 0.001 32.821 0.190 0.588 0.017 0.267 0.019

Problem 2165

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

32 32 32 26 26 26 27 26 26

N.S.

1 1.00 1.00 0.81 0.81 0.81 0.84 0.81 0.81

time (sec)

N/A 0.172 0.001 10.008 0.196 0.321 0.023 0.269 0.019

Problem 2166

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

34 34 34 26 26 26 29 26 26

N.S.

1 1.00 1.00 0.76 0.76 0.76 0.85 0.76 0.76

time (sec)

N/A 0.172 0.002 10.644 0.195 0.265 0.018 0.268 0.019

Problem 2167

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

28 30 28 24 24 24 24 24 24

N.S.

1 1.07 1.00 0.86 0.86 0.86 0.86 0.86 0.86

time (sec)

N/A 0.174 0.001 16.839 0.190 0.269 0.019 0.266 0.018

Problem 2168

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

27 27 27 24 23 23 24 24 23

N.S.

1 1.00 1.00 0.89 0.85 0.85 0.89 0.89 0.85

time (sec)

N/A 0.166 0.001 16.891 0.202 0.262 0.028 0.261 0.021

Problem 2169

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

25 25 25 24 23 25 20 24 23

N.S.

1 1.00 1.00 0.96 0.92 1.00 0.80 0.96 0.92

time (sec)

N/A 0.168 0.001 16.870 0.190 0.319 0.031 0.273 0.023

Problem 2170

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

27 27 27 23 23 25 22 24 22

N.S.

1 1.00 1.00 0.85 0.85 0.93 0.81 0.89 0.81

time (sec)

N/A 0.170 0.001 17.201 0.192 0.253 0.037 0.273 0.028

Problem 2171

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

21 21 21 21 21 24 19 22 21

N.S.

1 1.00 1.00 1.00 1.00 1.14 0.90 1.05 1.00

time (sec)

N/A 0.166 0.001 16.641 0.197 0.277 0.037 0.268 0.028

Problem 2172

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

25 25 25 23 23 27 22 24 22

N.S.

1 1.00 1.00 0.92 0.92 1.08 0.88 0.96 0.88

time (sec)

N/A 0.169 0.001 13.468 0.189 0.278 0.043 0.268 0.025

Problem 2173

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

30 30 30 25 25 25 24 25 23

N.S.

1 1.00 1.00 0.83 0.83 0.83 0.80 0.83 0.77

time (sec)

N/A 0.172 0.001 16.554 0.191 0.345 0.040 0.267 0.023

Problem 2174

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

36 36 36 25 25 25 24 25 25

N.S.

1 1.00 1.00 0.69 0.69 0.69 0.67 0.69 0.69

time (sec)

N/A 0.175 0.001 16.858 0.190 0.357 0.044 0.272 0.024

Problem 2175

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

14 14 15 13 12 12 10 13 12

N.S.

1 1.00 1.07 0.93 0.86 0.86 0.71 0.93 0.86

time (sec)

N/A 0.159 0.003 16.170 0.197 0.376 0.026 0.264 0.031

Problem 2176

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

19 19 18 16 15 15 14 16 15

N.S.

1 1.00 0.95 0.84 0.79 0.79 0.74 0.84 0.79

time (sec)

N/A 0.162 0.003 20.157 0.211 0.331 0.026 0.261 9.761

Problem 2177

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A B A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

14 14 14 13 17 28 15 13 12

N.S.

1 1.00 1.00 0.93 1.21 2.00 1.07 0.93 0.86

time (sec)

N/A 0.161 0.007 15.879 0.192 0.578 0.034 0.255 0.032

Problem 2178

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

19 19 19 15 19 27 15 15 14

N.S.

1 1.00 1.00 0.79 1.00 1.42 0.79 0.79 0.74

time (sec)

N/A 0.168 0.007 20.700 0.200 0.268 0.034 0.261 0.031

Problem 2179

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

11 11 11 10 9 9 8 10 9

N.S.

1 1.00 1.00 0.91 0.82 0.82 0.73 0.91 0.82

time (sec)

N/A 0.151 0.001 0.105 0.193 0.270 0.024 0.259 0.022

Problem 2180

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

11 11 11 12 11 14 8 12 11

N.S.

1 1.00 1.00 1.09 1.00 1.27 0.73 1.09 1.00

time (sec)

N/A 0.157 0.001 0.115 0.198 0.261 0.028 0.271 0.028

Problem 2181

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

18 12 18 15 15 15 15 15 11

N.S.

1 0.67 1.00 0.83 0.83 0.83 0.83 0.83 0.61

time (sec)

N/A 0.143 0.001 0.061 0.197 0.248 0.031 0.283 0.020

Problem 2182

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

243 243 240 297 0 821 1556 282 367

N.S.

1 1.00 0.99 1.22 0.00 3.38 6.40 1.16 1.51

time (sec)

N/A 0.561 0.111 21.338 0.000 0.325 4.295 0.258 10.115

Problem 2183

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

151 151 148 174 0 526 892 169 208

N.S.

1 1.00 0.98 1.15 0.00 3.48 5.91 1.12 1.38

time (sec)

N/A 0.352 0.071 21.217 0.000 0.290 2.134 0.272 0.247

Problem 2184

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

101 101 101 107 0 324 588 102 147

N.S.

1 1.00 1.00 1.06 0.00 3.21 5.82 1.01 1.46

time (sec)

N/A 0.279 0.043 25.421 0.000 0.398 1.113 0.268 9.870

Problem 2185

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

66 66 66 62 0 204 280 63 162

N.S.

1 1.00 1.00 0.94 0.00 3.09 4.24 0.95 2.45

time (sec)

N/A 0.226 0.035 25.434 0.000 0.343 0.409 0.289 0.120

Problem 2186

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

34 34 38 35 0 120 124 34 46

N.S.

1 1.00 1.12 1.03 0.00 3.53 3.65 1.00 1.35

time (sec)

N/A 0.163 0.005 25.278 0.000 0.412 0.103 0.269 9.829

Problem 2187

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

122 106 105 104 0 305 0 125 122

N.S.

1 0.87 0.86 0.85 0.00 2.50 0.00 1.02 1.00

time (sec)

N/A 0.277 0.048 29.458 0.000 0.730 0.000 0.273 10.041

Problem 2188

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

186 206 151 197 0 1079 0 330 1786

N.S.

1 1.11 0.81 1.06 0.00 5.80 0.00 1.77 9.60

time (sec)

N/A 0.470 0.126 29.673 0.000 2.027 0.000 0.277 16.722

Problem 2189

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

272 292 272 325 0 2793 0 631 3506

N.S.

1 1.07 1.00 1.19 0.00 10.27 0.00 2.32 12.89

time (sec)

N/A 0.606 0.175 29.627 0.000 33.576 0.000 0.276 16.868

Problem 2190

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

374 368 422 645 0 2763 2671 542 1083

N.S.

1 0.98 1.13 1.72 0.00 7.39 7.14 1.45 2.90

time (sec)

N/A 0.773 0.378 34.011 0.000 0.411 45.177 0.283 11.273

Problem 2191

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

260 267 298 436 0 1857 1924 373 525

N.S.

1 1.03 1.15 1.68 0.00 7.14 7.40 1.43 2.02

time (sec)

N/A 0.618 0.266 34.290 0.000 0.360 10.919 0.273 10.807

Problem 2192

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

173 185 201 287 0 1164 1238 244 483

N.S.

1 1.07 1.16 1.66 0.00 6.73 7.16 1.41 2.79

time (sec)

N/A 0.427 0.175 39.730 0.000 0.344 3.622 0.278 10.774

Problem 2193

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

99 99 128 149 0 669 517 140 230

N.S.

1 1.00 1.29 1.51 0.00 6.76 5.22 1.41 2.32

time (sec)

N/A 0.236 0.072 20.705 0.000 0.430 0.866 0.269 0.164

Problem 2194

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

87 87 88 89 0 459 359 96 159

N.S.

1 1.00 1.01 1.02 0.00 5.28 4.13 1.10 1.83

time (sec)

N/A 0.224 0.048 20.544 0.000 0.370 0.512 0.270 0.117

Problem 2195

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

66 66 70 68 0 341 265 76 119

N.S.

1 1.00 1.06 1.03 0.00 5.17 4.02 1.15 1.80

time (sec)

N/A 0.198 0.052 20.772 0.000 0.377 0.309 0.283 0.146

Problem 2196

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

224 274 223 351 0 2128 0 489 2953

N.S.

1 1.22 1.00 1.57 0.00 9.50 0.00 2.18 13.18

time (sec)

N/A 0.559 0.177 20.929 0.000 19.062 0.000 0.270 14.043

Problem 2197

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

344 382 339 529 0 5498 0 932 2239

N.S.

1 1.11 0.99 1.54 0.00 15.98 0.00 2.71 6.51

time (sec)

N/A 0.785 0.364 25.597 0.000 53.340 0.000 0.282 14.000

Problem 2198

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

485 513 489 821 0 10696 0 1720 3748

N.S.

1 1.06 1.01 1.69 0.00 22.05 0.00 3.55 7.73

time (sec)

N/A 1.163 0.619 21.836 0.000 253.267 0.000 0.301 17.872

Problem 2199

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

294 304 299 459 0 2207 1875 332 762

N.S.

1 1.03 1.02 1.56 0.00 7.51 6.38 1.13 2.59

time (sec)

N/A 0.582 0.256 24.911 0.000 0.305 3.534 0.273 10.620

Problem 2200

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

238 257 260 401 0 1926 1714 282 705

N.S.

1 1.08 1.09 1.68 0.00 8.09 7.20 1.18 2.96

time (sec)

N/A 0.505 0.212 13.335 0.000 0.300 2.982 0.273 10.508

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