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Integrals 2301 to 2400

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 2301

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 32 25 26 26 32 26 26

N.S.

1 1.00 0.94 0.74 0.76 0.76 0.94 0.76 0.76

time (sec)

N/A 0.010 0.029 6.025 0.206 0.292 0.269 0.316 0.032

Problem 2302

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 32 25 26 26 32 26 26

N.S.

1 1.00 0.94 0.74 0.76 0.76 0.94 0.76 0.76

time (sec)

N/A 0.010 0.027 10.464 0.211 0.260 0.333 0.278 0.028

Problem 2303

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

47 47 43 36 251 35 42 35 35

N.S.

1 1.00 0.91 0.77 5.34 0.74 0.89 0.74 0.74

time (sec)

N/A 0.023 0.025 3.586 0.201 0.266 0.549 0.295 0.045

Problem 2304

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

47 47 43 36 200 35 42 35 35

N.S.

1 1.00 0.91 0.77 4.26 0.74 0.89 0.74 0.74

time (sec)

N/A 0.021 0.024 3.588 0.199 0.267 0.474 0.310 0.045

Problem 2305

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

47 47 41 36 149 35 42 35 35

N.S.

1 1.00 0.87 0.77 3.17 0.74 0.89 0.74 0.74

time (sec)

N/A 0.020 0.025 6.006 0.203 0.272 0.410 0.306 0.043

Problem 2306

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

47 47 43 36 98 35 42 35 35

N.S.

1 1.00 0.91 0.77 2.09 0.74 0.89 0.74 0.74

time (sec)

N/A 0.018 0.022 5.790 0.205 0.267 0.363 0.274 0.044

Problem 2307

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 41 33 32 32 39 32 32

N.S.

1 1.00 0.98 0.79 0.76 0.76 0.93 0.76 0.76

time (sec)

N/A 0.015 0.019 5.920 0.200 0.288 0.295 0.305 0.044

Problem 2308

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 31 30 33 36 31 33

N.S.

1 1.00 1.00 0.86 0.83 0.92 1.00 0.86 0.92

time (sec)

N/A 0.019 0.028 3.632 0.198 0.279 0.086 0.278 0.037

Problem 2309

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

39 39 40 34 36 39 36 37 37

N.S.

1 1.00 1.03 0.87 0.92 1.00 0.92 0.95 0.95

time (sec)

N/A 0.016 0.044 5.922 0.221 0.286 0.197 0.265 0.040

Problem 2310

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

45 45 41 36 35 35 41 35 35

N.S.

1 1.00 0.91 0.80 0.78 0.78 0.91 0.78 0.78

time (sec)

N/A 0.015 0.033 3.613 0.200 0.292 0.255 0.270 5.572

Problem 2311

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

47 47 41 36 35 35 44 35 35

N.S.

1 1.00 0.87 0.77 0.74 0.74 0.94 0.74 0.74

time (sec)

N/A 0.014 0.033 5.983 0.205 0.264 0.344 0.269 0.032

Problem 2312

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

77 77 69 58 251 69 75 57 57

N.S.

1 1.00 0.90 0.75 3.26 0.90 0.97 0.74 0.74

time (sec)

N/A 0.032 0.029 3.705 0.206 0.260 0.683 0.263 0.029

Problem 2313

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

75 75 69 58 200 69 73 57 57

N.S.

1 1.00 0.92 0.77 2.67 0.92 0.97 0.76 0.76

time (sec)

N/A 0.033 0.029 3.472 0.235 0.271 0.535 0.278 0.026

Problem 2314

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

77 77 69 58 149 69 75 57 57

N.S.

1 1.00 0.90 0.75 1.94 0.90 0.97 0.74 0.74

time (sec)

N/A 0.029 0.029 3.628 0.212 0.275 0.470 0.311 0.028

Problem 2315

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

77 77 69 58 98 69 75 57 57

N.S.

1 1.00 0.90 0.75 1.27 0.90 0.97 0.74 0.74

time (sec)

N/A 0.027 0.025 5.902 0.214 0.271 0.399 0.274 0.027

Problem 2316

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

59 59 67 55 54 61 68 54 54

N.S.

1 1.00 1.14 0.93 0.92 1.03 1.15 0.92 0.92

time (sec)

N/A 0.023 0.024 3.587 0.204 0.257 0.328 0.281 0.027

Problem 2317

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

65 65 65 54 53 56 71 54 56

N.S.

1 1.00 1.00 0.83 0.82 0.86 1.09 0.83 0.86

time (sec)

N/A 0.020 0.033 3.751 0.205 0.259 0.628 0.287 0.032

Problem 2318

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

68 68 69 57 59 62 66 60 59

N.S.

1 1.00 1.01 0.84 0.87 0.91 0.97 0.88 0.87

time (sec)

N/A 0.023 0.042 3.597 0.214 0.261 0.215 0.273 0.042

Problem 2319

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A B B B B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

21 21 67 58 55 57 70 55 55

N.S.

1 1.00 3.19 2.76 2.62 2.71 3.33 2.62 2.62

time (sec)

N/A 0.003 0.036 3.726 0.205 0.259 0.266 0.274 5.462

Problem 2320

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

73 73 67 58 57 59 73 57 57

N.S.

1 1.00 0.92 0.79 0.78 0.81 1.00 0.78 0.78

time (sec)

N/A 0.026 0.042 3.705 0.348 0.255 0.351 0.275 0.042

Problem 2321

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

75 75 67 58 57 58 75 57 57

N.S.

1 1.00 0.89 0.77 0.76 0.77 1.00 0.76 0.76

time (sec)

N/A 0.023 0.044 3.698 0.275 0.267 0.480 0.268 5.552

Problem 2322

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

77 77 67 58 57 59 76 57 57

N.S.

1 1.00 0.87 0.75 0.74 0.77 0.99 0.74 0.74

time (sec)

N/A 0.022 0.044 3.592 0.199 0.273 0.616 0.273 0.045

Problem 2323

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

75 75 67 58 57 59 75 57 57

N.S.

1 1.00 0.89 0.77 0.76 0.79 1.00 0.76 0.76

time (sec)

N/A 0.024 0.045 3.655 0.205 0.270 0.799 0.280 5.655

Problem 2324

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

144 144 130 113 251 124 144 112 112

N.S.

1 1.00 0.90 0.78 1.74 0.86 1.00 0.78 0.78

time (sec)

N/A 0.073 0.042 3.619 0.200 0.280 0.967 0.266 0.074

Problem 2325

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

144 144 130 113 200 124 144 112 112

N.S.

1 1.00 0.90 0.78 1.39 0.86 1.00 0.78 0.78

time (sec)

N/A 0.057 0.040 3.609 0.208 0.258 0.798 0.265 0.068

Problem 2326

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

179 179 130 113 149 124 141 112 112

N.S.

1 1.00 0.73 0.63 0.83 0.69 0.79 0.63 0.63

time (sec)

N/A 0.065 0.042 3.610 0.200 0.257 0.695 0.271 0.065

Problem 2327

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

120 120 130 113 98 124 143 112 112

N.S.

1 1.00 1.08 0.94 0.82 1.03 1.19 0.93 0.93

time (sec)

N/A 0.044 0.047 3.668 0.200 0.275 0.585 0.276 0.072

Problem 2328

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A B B A B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

59 59 128 110 47 117 136 109 109

N.S.

1 1.00 2.17 1.86 0.80 1.98 2.31 1.85 1.85

time (sec)

N/A 0.028 0.036 3.684 0.215 0.270 0.481 0.268 0.074

Problem 2329

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

136 136 132 109 108 113 144 109 111

N.S.

1 1.00 0.97 0.80 0.79 0.83 1.06 0.80 0.82

time (sec)

N/A 0.044 0.050 3.723 0.205 0.288 1.168 0.285 0.078

Problem 2330

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

125 125 125 110 110 116 131 111 112

N.S.

1 1.00 1.00 0.88 0.88 0.93 1.05 0.89 0.90

time (sec)

N/A 0.053 0.083 3.679 0.192 0.282 1.167 0.269 0.053

Problem 2331

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

131 131 132 110 110 117 136 111 112

N.S.

1 1.00 1.01 0.84 0.84 0.89 1.04 0.85 0.85

time (sec)

N/A 0.056 0.068 3.710 0.196 0.269 1.177 0.316 0.045

Problem 2332

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

131 131 132 112 112 118 133 113 113

N.S.

1 1.00 1.01 0.85 0.85 0.90 1.02 0.86 0.86

time (sec)

N/A 0.049 0.115 3.682 0.190 0.284 0.398 0.300 0.084

Problem 2333

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A B B B B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

46 46 128 113 112 114 139 112 112

N.S.

1 1.00 2.78 2.46 2.43 2.48 3.02 2.43 2.43

time (sec)

N/A 0.010 0.068 3.671 0.198 0.276 0.523 0.278 0.096

Problem 2334

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

122 122 128 113 112 114 143 112 112

N.S.

1 1.00 1.05 0.93 0.92 0.93 1.17 0.92 0.92

time (sec)

N/A 0.031 0.082 3.609 0.194 0.284 0.676 0.292 5.577

Problem 2335

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

144 144 128 113 112 114 146 112 112

N.S.

1 1.00 0.89 0.78 0.78 0.79 1.01 0.78 0.78

time (sec)

N/A 0.048 0.086 3.702 0.200 0.263 0.857 0.278 5.694

Problem 2336

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

144 144 128 113 112 114 146 112 112

N.S.

1 1.00 0.89 0.78 0.78 0.79 1.01 0.78 0.78

time (sec)

N/A 0.049 0.089 3.492 0.204 0.276 1.088 0.269 0.097

Problem 2337

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

144 144 128 113 112 114 146 112 112

N.S.

1 1.00 0.89 0.78 0.78 0.79 1.01 0.78 0.78

time (sec)

N/A 0.053 0.086 3.568 0.209 0.272 1.400 0.286 0.103

Problem 2338

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

142 142 128 113 112 114 144 112 112

N.S.

1 1.00 0.90 0.80 0.79 0.80 1.01 0.79 0.79

time (sec)

N/A 0.050 0.087 3.694 0.206 0.267 1.764 0.284 5.948

Problem 2339

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

217 217 191 168 302 179 218 167 167

N.S.

1 1.00 0.88 0.77 1.39 0.82 1.00 0.77 0.77

time (sec)

N/A 0.112 0.055 3.442 0.212 0.265 1.686 0.265 0.175

Problem 2340

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

217 217 191 168 251 179 218 167 167

N.S.

1 1.00 0.88 0.77 1.16 0.82 1.00 0.77 0.77

time (sec)

N/A 0.109 0.052 3.498 0.201 0.265 1.376 0.270 0.181

Problem 2341

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

244 244 191 168 200 179 216 167 167

N.S.

1 1.00 0.78 0.69 0.82 0.73 0.89 0.68 0.68

time (sec)

N/A 0.116 0.052 3.541 0.200 0.284 1.161 0.272 0.219

Problem 2342

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

183 183 191 168 149 179 214 167 167

N.S.

1 1.00 1.04 0.92 0.81 0.98 1.17 0.91 0.91

time (sec)

N/A 0.072 0.052 3.738 0.213 0.286 0.966 0.275 0.169

Problem 2343

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

122 122 191 168 98 179 214 167 167

N.S.

1 1.00 1.57 1.38 0.80 1.47 1.75 1.37 1.37

time (sec)

N/A 0.057 0.050 3.686 0.206 0.272 0.814 0.271 0.168

Problem 2344

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A B B A B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

59 59 189 165 47 172 207 164 164

N.S.

1 1.00 3.20 2.80 0.80 2.92 3.51 2.78 2.78

time (sec)

N/A 0.036 0.047 3.681 0.202 0.265 0.663 0.279 0.170

Problem 2345

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

209 209 193 164 163 168 212 164 166

N.S.

1 1.00 0.92 0.78 0.78 0.80 1.01 0.78 0.79

time (sec)

N/A 0.073 0.067 3.710 0.209 0.270 0.433 0.284 0.180

Problem 2346

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

202 202 195 165 167 173 204 168 167

N.S.

1 1.00 0.97 0.82 0.83 0.86 1.01 0.83 0.83

time (sec)

N/A 0.079 0.108 3.431 0.211 0.267 0.476 0.270 5.967

Problem 2347

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

200 200 193 165 165 173 202 166 167

N.S.

1 1.00 0.96 0.82 0.82 0.86 1.01 0.83 0.84

time (sec)

N/A 0.081 0.119 3.586 0.194 0.269 0.505 0.296 5.967

Problem 2348

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

200 200 193 165 165 173 202 166 167

N.S.

1 1.00 0.96 0.82 0.82 0.86 1.01 0.83 0.84

time (sec)

N/A 0.080 0.142 3.651 0.233 0.282 0.504 0.271 5.832

Problem 2349

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

211 211 193 166 166 173 212 167 168

N.S.

1 1.00 0.91 0.79 0.79 0.82 1.00 0.79 0.80

time (sec)

N/A 0.078 0.196 3.612 0.204 0.276 0.677 0.271 0.261

Problem 2350

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A B B B B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

72 72 189 168 167 169 209 167 166

N.S.

1 1.00 2.62 2.33 2.32 2.35 2.90 2.32 2.31

time (sec)

N/A 0.016 0.099 3.637 0.200 0.277 0.877 0.282 6.038

Problem 2351

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

148 148 189 168 167 169 216 167 167

N.S.

1 1.00 1.28 1.14 1.13 1.14 1.46 1.13 1.13

time (sec)

N/A 0.041 0.118 3.740 0.194 0.278 1.133 0.266 6.144

Problem 2352

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

224 224 189 168 167 169 216 167 167

N.S.

1 1.00 0.84 0.75 0.75 0.75 0.96 0.75 0.75

time (sec)

N/A 0.077 0.122 3.646 0.220 0.275 1.420 0.280 6.046

Problem 2353

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

215 215 189 168 167 169 218 167 167

N.S.

1 1.00 0.88 0.78 0.78 0.79 1.01 0.78 0.78

time (sec)

N/A 0.079 0.122 3.640 0.201 0.298 1.778 0.277 0.217

Problem 2354

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

217 217 189 168 167 169 219 167 167

N.S.

1 1.00 0.87 0.77 0.77 0.78 1.01 0.77 0.77

time (sec)

N/A 0.078 0.124 3.694 0.204 0.303 2.246 0.272 5.976

Problem 2355

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

217 217 189 168 167 169 219 167 167

N.S.

1 1.00 0.87 0.77 0.77 0.78 1.01 0.77 0.77

time (sec)

N/A 0.087 0.132 3.670 0.196 0.280 2.840 0.279 0.210

Problem 2356

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

166 166 152 132 197 133 0 133 130

N.S.

1 1.00 0.92 0.80 1.19 0.80 0.00 0.80 0.78

time (sec)

N/A 0.081 0.141 3.681 0.204 0.281 0.000 0.269 0.087

Problem 2357

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

124 124 115 99 146 100 0 100 98

N.S.

1 1.00 0.93 0.80 1.18 0.81 0.00 0.81 0.79

time (sec)

N/A 0.052 0.093 3.695 0.193 0.275 0.000 0.264 0.047

Problem 2358

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

80 80 78 66 95 66 80 67 64

N.S.

1 1.00 0.98 0.82 1.19 0.82 1.00 0.84 0.80

time (sec)

N/A 0.034 0.043 5.960 0.194 0.264 147.925 0.283 0.061

Problem 2359

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 35 44 33 42 35 34

N.S.

1 1.00 1.00 0.83 1.05 0.79 1.00 0.83 0.81

time (sec)

N/A 0.017 0.030 6.044 0.194 0.259 0.140 0.273 0.042

Problem 2360

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

22 22 30 21 20 20 37 22 17

N.S.

1 1.00 1.36 0.95 0.91 0.91 1.68 1.00 0.77

time (sec)

N/A 0.007 0.026 12.852 0.207 0.267 0.171 0.265 5.891

Problem 2361

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

63 63 62 56 56 56 83 61 50

N.S.

1 1.00 0.98 0.89 0.89 0.89 1.32 0.97 0.79

time (sec)

N/A 0.024 0.050 12.776 0.197 0.274 0.542 0.273 0.071

Problem 2362

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

104 104 95 87 86 93 129 91 83

N.S.

1 1.00 0.91 0.84 0.83 0.89 1.24 0.88 0.80

time (sec)

N/A 0.056 0.086 3.514 0.199 0.263 1.148 0.271 0.064

Problem 2363

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

149 149 132 122 120 126 172 125 116

N.S.

1 1.00 0.89 0.82 0.81 0.85 1.15 0.84 0.78

time (sec)

N/A 0.052 0.112 5.974 0.195 0.293 2.205 0.275 5.811

Problem 2364

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 25 16 15 17 22 17 10

N.S.

1 1.00 1.19 0.76 0.71 0.81 1.05 0.81 0.48

time (sec)

N/A 0.006 0.021 3.899 0.192 0.258 0.144 0.285 0.050

Problem 2365

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

171 171 171 139 197 181 0 144 143

N.S.

1 1.00 1.00 0.81 1.15 1.06 0.00 0.84 0.84

time (sec)

N/A 0.112 0.117 3.524 0.199 0.276 0.000 0.267 0.094

Problem 2366

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

122 122 134 106 146 147 0 111 110

N.S.

1 1.00 1.10 0.87 1.20 1.20 0.00 0.91 0.90

time (sec)

N/A 0.064 0.092 3.673 0.201 0.291 0.000 0.278 0.046

Problem 2367

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

85 85 97 73 95 114 243 78 77

N.S.

1 1.00 1.14 0.86 1.12 1.34 2.86 0.92 0.91

time (sec)

N/A 0.040 0.067 5.997 0.192 0.277 45.750 0.309 5.877

Problem 2368

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

46 46 56 41 44 68 109 41 43

N.S.

1 1.00 1.22 0.89 0.96 1.48 2.37 0.89 0.93

time (sec)

N/A 0.018 0.055 6.011 0.207 0.280 0.187 0.267 0.035

Problem 2369

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

38 38 37 35 34 70 160 36 32

N.S.

1 1.00 0.97 0.92 0.89 1.84 4.21 0.95 0.84

time (sec)

N/A 0.017 0.061 3.853 0.224 0.285 0.382 0.296 0.056

Problem 2370

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

80 80 77 73 73 122 272 77 67

N.S.

1 1.00 0.96 0.91 0.91 1.52 3.40 0.96 0.84

time (sec)

N/A 0.036 0.137 3.753 0.208 0.283 0.987 0.287 5.940

Problem 2371

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

125 125 117 106 110 164 405 112 103

N.S.

1 1.00 0.94 0.85 0.88 1.31 3.24 0.90 0.82

time (sec)

N/A 0.055 0.156 6.013 0.197 0.303 2.520 0.276 5.892

Problem 2372

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

162 162 154 139 143 196 505 145 136

N.S.

1 1.00 0.95 0.86 0.88 1.21 3.12 0.90 0.84

time (sec)

N/A 0.085 0.264 3.656 0.207 0.290 5.456 0.288 0.099

Problem 2373

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

171 171 171 145 197 225 624 145 154

N.S.

1 1.00 1.00 0.85 1.15 1.32 3.65 0.85 0.90

time (sec)

N/A 0.136 0.119 3.648 0.222 0.286 1.174 0.271 0.091

Problem 2374

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

134 134 134 112 146 192 493 112 120

N.S.

1 1.00 1.00 0.84 1.09 1.43 3.68 0.84 0.90

time (sec)

N/A 0.076 0.095 12.847 0.198 0.277 0.557 0.274 0.052

Problem 2375

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

90 90 97 79 94 159 362 79 87

N.S.

1 1.00 1.08 0.88 1.04 1.77 4.02 0.88 0.97

time (sec)

N/A 0.043 0.080 6.073 0.206 0.266 0.322 0.281 5.889

Problem 2376

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

54 54 47 47 46 113 228 44 53

N.S.

1 1.00 0.87 0.87 0.85 2.09 4.22 0.81 0.98

time (sec)

N/A 0.022 0.059 3.775 0.188 0.296 0.302 0.274 5.904

Problem 2377

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

56 56 51 49 57 129 386 49 54

N.S.

1 1.00 0.91 0.88 1.02 2.30 6.89 0.88 0.96

time (sec)

N/A 0.023 0.093 3.497 0.206 0.292 0.599 0.286 5.902

Problem 2378

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

103 103 93 90 97 191 561 90 89

N.S.

1 1.00 0.90 0.87 0.94 1.85 5.45 0.87 0.86

time (sec)

N/A 0.045 0.203 6.038 0.209 0.314 1.472 0.280 6.080

Problem 2379

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

146 146 130 123 132 230 706 123 125

N.S.

1 1.00 0.89 0.84 0.90 1.58 4.84 0.84 0.86

time (sec)

N/A 0.082 0.188 5.963 0.205 0.298 3.676 0.264 6.028

Problem 2380

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

183 183 167 156 165 263 847 156 159

N.S.

1 1.00 0.91 0.85 0.90 1.44 4.63 0.85 0.87

time (sec)

N/A 0.105 0.305 5.970 0.215 0.311 7.666 0.273 6.044

Problem 2381

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

42 42 31 29 28 21 359 28 12

N.S.

1 1.00 0.74 0.69 0.67 0.50 8.55 0.67 0.29

time (sec)

N/A 0.008 0.022 3.613 0.206 0.288 0.759 0.280 5.906

Problem 2382

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

23 23 25 18 19 23 20 19 18

N.S.

1 1.00 1.09 0.78 0.83 1.00 0.87 0.83 0.78

time (sec)

N/A 0.006 0.045 3.777 0.283 0.290 0.692 0.268 0.042

Problem 2383

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

39 39 39 28 42 25 34 27 27

N.S.

1 1.00 1.00 0.72 1.08 0.64 0.87 0.69 0.69

time (sec)

N/A 0.011 0.022 3.712 0.215 0.284 0.075 0.269 0.024

Problem 2384

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

16 16 16 13 12 12 14 12 12

N.S.

1 1.00 1.00 0.81 0.75 0.75 0.88 0.75 0.75

time (sec)

N/A 0.004 0.020 3.690 0.293 0.279 0.066 0.265 5.777

Problem 2385

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

12 12 12 9 8 8 10 8 8

N.S.

1 1.00 1.00 0.75 0.67 0.67 0.83 0.67 0.67

time (sec)

N/A 0.002 0.015 5.982 0.230 0.280 0.069 0.283 5.840

Problem 2386

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

8 8 8 7 6 6 7 6 6

N.S.

1 1.00 1.00 0.88 0.75 0.75 0.88 0.75 0.75

time (sec)

N/A 0.003 0.015 6.110 0.283 0.276 0.096 0.268 0.159

Problem 2387

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

11 11 11 8 7 7 24 7 7

N.S.

1 1.00 1.00 0.73 0.64 0.64 2.18 0.64 0.64

time (sec)

N/A 0.002 0.026 6.042 0.214 0.833 0.084 0.273 6.884

Problem 2388

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

15 15 15 10 9 19 49 9 9

N.S.

1 1.00 1.00 0.67 0.60 1.27 3.27 0.60 0.60

time (sec)

N/A 0.002 0.033 3.735 0.202 0.836 0.204 0.271 6.984

Problem 2389

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A C C A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

117 117 71 71 88 79 187 88 47

N.S.

1 1.00 0.61 0.61 0.75 0.68 1.60 0.75 0.40

time (sec)

N/A 0.057 0.124 3.807 0.285 0.309 0.778 0.267 0.089

Problem 2390

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C A B B B A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

188 200 126 124 272 638 462 139 223

N.S.

1 1.06 0.67 0.66 1.45 3.39 2.46 0.74 1.19

time (sec)

N/A 0.303 0.016 3.545 0.281 0.978 15.997 0.347 0.129

Problem 2391

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A C A A C A B

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

67 67 52 75 78 63 165 59 31

N.S.

1 1.00 0.78 1.12 1.16 0.94 2.46 0.88 0.46

time (sec)

N/A 0.018 0.143 3.845 0.292 0.276 1.845 0.480 6.052

Problem 2392

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

50 50 45 38 62 55 60 42 27

N.S.

1 1.00 0.90 0.76 1.24 1.10 1.20 0.84 0.54

time (sec)

N/A 0.010 0.084 3.667 0.195 0.279 2.219 0.293 5.861

Problem 2393

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

95 95 280 0 109 0 46 0 37

N.S.

1 1.00 2.95 0.00 1.15 0.00 0.48 0.00 0.39

time (sec)

N/A 0.057 7.348 0.000 0.283 0.000 1.737 0.000 6.100

Problem 2394

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 21 14 15 13 15 13 13

N.S.

1 1.00 1.11 0.74 0.79 0.68 0.79 0.68 0.68

time (sec)

N/A 0.007 0.030 0.027 0.203 0.273 0.257 0.273 5.951

Problem 2395

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 14 15 13 15 13 13

N.S.

1 1.00 1.00 0.74 0.79 0.68 0.79 0.68 0.68

time (sec)

N/A 0.006 0.003 0.027 0.198 0.299 0.181 0.266 0.034

Problem 2396

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 14 15 13 15 13 13

N.S.

1 1.00 1.00 0.74 0.79 0.68 0.79 0.68 0.68

time (sec)

N/A 0.004 0.004 0.025 0.221 0.284 0.117 0.268 0.032

Problem 2397

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 14 15 13 15 13 13

N.S.

1 1.00 1.00 0.74 0.79 0.68 0.79 0.68 0.68

time (sec)

N/A 0.004 0.003 0.024 0.201 0.260 0.075 0.278 0.030

Problem 2398

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 14 11 10 10 12 10 10

N.S.

1 1.00 1.00 0.79 0.71 0.71 0.86 0.71 0.71

time (sec)

N/A 0.002 0.002 0.022 0.200 0.270 0.016 0.263 0.030

Problem 2399

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

13 13 13 12 11 19 12 12 14

N.S.

1 1.00 1.00 0.92 0.85 1.46 0.92 0.92 1.08

time (sec)

N/A 0.004 0.022 0.040 0.216 0.336 0.154 0.287 0.042

Problem 2400

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

17 17 17 14 47 16 14 15 13

N.S.

1 1.00 1.00 0.82 2.76 0.94 0.82 0.88 0.76

time (sec)

N/A 0.004 0.022 0.029 0.189 0.342 0.201 0.275 5.998

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