2.2.23 Integrals 2201 to 2300

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 2201

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A B A A A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

20 43 20 18 21 21 19 36 17

N.S.

1 2.15 1.00 0.90 1.05 1.05 0.95 1.80 0.85

time (sec)

N/A 0.195 0.061 0.146 0.179 0.264 0.109 0.269 13.581

Problem 2202

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A A A A A B

verified

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

size

22 0 24 27 27 27 31 31 28

N.S.

1 0.00 1.09 1.23 1.23 1.23 1.41 1.41 1.27

time (sec)

N/A 0.000 0.125 0.526 0.300 0.256 0.056 0.283 13.550

Problem 2203

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 10 10 11 10 12 8 10 12

N.S.

1 0.40 0.40 0.44 0.40 0.48 0.32 0.40 0.48

time (sec)

N/A 0.153 0.002 0.016 0.182 0.225 0.028 0.281 0.027

Problem 2204

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A A A A A B

verified

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

size

27 0 24 23 36 25 22 36 25

N.S.

1 0.00 0.89 0.85 1.33 0.93 0.81 1.33 0.93

time (sec)

N/A 0.000 2.973 0.473 0.301 0.240 0.217 0.319 13.250

Problem 2205

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A A A A A B

verified

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

size

25 0 21 20 24 29 24 25 19

N.S.

1 0.00 0.84 0.80 0.96 1.16 0.96 1.00 0.76

time (sec)

N/A 0.000 0.519 1.172 0.251 0.258 0.085 0.299 13.479

Problem 2206

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 23 23 17 16 16 12 16 16

N.S.

1 1.15 1.15 0.85 0.80 0.80 0.60 0.80 0.80

time (sec)

N/A 0.175 0.078 0.058 0.197 0.258 0.043 0.299 0.063

Problem 2207

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A A A A A B

verified

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

size

24 0 37 33 35 35 37 40 40

N.S.

1 0.00 1.54 1.38 1.46 1.46 1.54 1.67 1.67

time (sec)

N/A 0.000 0.152 1.513 0.213 0.247 0.164 0.316 12.757

Problem 2208

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F B B A B B F B

verified

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

size

23 0 47 118 25 51 78 0 84

N.S.

1 0.00 2.04 5.13 1.09 2.22 3.39 0.00 3.65

time (sec)

N/A 0.000 0.468 2.622 0.239 0.249 1.722 0.000 13.501

Problem 2209

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 18 21 20 19 25 20 29 19

N.S.

1 0.86 1.00 0.95 0.90 1.19 0.95 1.38 0.90

time (sec)

N/A 0.479 0.037 0.120 0.295 0.249 0.062 0.284 13.334

Problem 2210

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A A A A B B

verified

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

size

31 0 27 22 30 36 34 162 30

N.S.

1 0.00 0.87 0.71 0.97 1.16 1.10 5.23 0.97

time (sec)

N/A 0.000 1.988 0.424 0.255 0.228 0.085 0.326 12.895

Problem 2211

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

27 27 88 45 219 295 292 205 0

N.S.

1 1.00 3.26 1.67 8.11 10.93 10.81 7.59 0.00

time (sec)

N/A 0.239 0.048 0.760 0.193 0.247 0.518 0.286 0.000

Problem 2212

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 25 25 18 22 16 14 16 22

N.S.

1 1.25 1.25 0.90 1.10 0.80 0.70 0.80 1.10

time (sec)

N/A 0.293 0.427 0.039 0.283 0.233 0.087 0.317 0.188

Problem 2213

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 30 30 20 23 20 20 21 19

N.S.

1 1.58 1.58 1.05 1.21 1.05 1.05 1.11 1.00

time (sec)

N/A 0.753 3.201 0.491 0.344 0.254 0.173 0.326 13.028

Problem 2214

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A A A A A B

verified

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

size

19 0 22 22 22 22 17 22 22

N.S.

1 0.00 1.16 1.16 1.16 1.16 0.89 1.16 1.16

time (sec)

N/A 0.000 0.226 0.325 0.268 0.252 0.054 0.313 12.941

Problem 2215

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 33 27 16 16 22 14 24 14

N.S.

1 1.22 1.00 0.59 0.59 0.81 0.52 0.89 0.52

time (sec)

N/A 0.564 0.062 0.173 0.278 0.258 0.073 0.304 13.365

Problem 2216

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

17 30 20 20 25 25 22 25 20

N.S.

1 1.76 1.18 1.18 1.47 1.47 1.29 1.47 1.18

time (sec)

N/A 0.168 0.003 0.043 0.188 0.232 0.022 0.286 12.827

Problem 2217

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

21 33 26 35 33 87 34 20 108

N.S.

1 1.57 1.24 1.67 1.57 4.14 1.62 0.95 5.14

time (sec)

N/A 0.488 0.039 0.120 0.181 0.238 0.213 0.277 14.306

Problem 2218

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

10 9 9 10 9 9 8 9 7

N.S.

1 0.90 0.90 1.00 0.90 0.90 0.80 0.90 0.70

time (sec)

N/A 0.196 0.006 0.051 0.208 0.237 0.099 0.286 13.125

Problem 2219

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F F A A A A A B

verified

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

size

25 0 0 36 46 46 34 35 34

N.S.

1 0.00 0.00 1.44 1.84 1.84 1.36 1.40 1.36

time (sec)

N/A 0.000 0.000 0.211 0.299 0.248 0.310 0.306 12.646

Problem 2220

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

21 0 21 24 0 23 20 0 0

N.S.

1 0.00 1.00 1.14 0.00 1.10 0.95 0.00 0.00

time (sec)

N/A 0.000 0.104 0.522 0.000 0.253 0.134 0.000 0.000

Problem 2221

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

26 0 40 23 30 24 20 0 22

N.S.

1 0.00 1.54 0.88 1.15 0.92 0.77 0.00 0.85

time (sec)

N/A 0.000 0.780 0.496 0.277 0.257 0.289 0.000 12.968

Problem 2222

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A A A A B B

verified

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

size

30 0 39 35 46 42 37 1342 40

N.S.

1 0.00 1.30 1.17 1.53 1.40 1.23 44.73 1.33

time (sec)

N/A 0.000 0.318 0.930 0.274 0.256 0.180 0.536 12.887

Problem 2223

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

11 9 9 9 33 8 8 8 8

N.S.

1 0.82 0.82 0.82 3.00 0.73 0.73 0.73 0.73

time (sec)

N/A 0.206 0.007 0.041 0.187 0.256 0.048 0.301 0.039

Problem 2224

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 31 24 25 31 25 20 35 18

N.S.

1 1.24 0.96 1.00 1.24 1.00 0.80 1.40 0.72

time (sec)

N/A 0.201 0.015 0.163 0.181 0.236 0.071 0.329 12.965

Problem 2225

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B A A B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

23 23 23 27 53 24 20 52 54

N.S.

1 1.00 1.00 1.17 2.30 1.04 0.87 2.26 2.35

time (sec)

N/A 0.314 0.148 0.507 0.210 0.259 0.190 0.312 14.702

Problem 2226

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B A A B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

17 17 17 16 31 27 10 103 15

N.S.

1 1.00 1.00 0.94 1.82 1.59 0.59 6.06 0.88

time (sec)

N/A 0.567 0.130 0.457 0.186 0.248 0.087 0.387 12.881

Problem 2227

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A B A A A A A F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

30 248 28 33 34 34 36 0 35

N.S.

1 8.27 0.93 1.10 1.13 1.13 1.20 0.00 1.17

time (sec)

N/A 1.259 0.220 1.174 0.280 0.250 4.040 0.000 0.257

Problem 2228

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A B A A B A B A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

31 155 62 53 64 51 54 56 64

N.S.

1 5.00 2.00 1.71 2.06 1.65 1.74 1.81 2.06

time (sec)

N/A 2.331 5.104 0.198 0.238 0.242 0.215 0.323 13.600

Problem 2229

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 18 18 17 16 16 17 16 17

N.S.

1 1.00 1.00 0.94 0.89 0.89 0.94 0.89 0.94

time (sec)

N/A 0.399 0.019 0.600 0.323 0.265 0.051 0.312 12.800

Problem 2230

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

23 29 25 24 0 23 22 24 21

N.S.

1 1.26 1.09 1.04 0.00 1.00 0.96 1.04 0.91

time (sec)

N/A 0.291 0.059 1.521 0.000 0.254 0.109 0.315 12.819

Problem 2231

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A B A A F B

verified

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

size

31 0 44 34 57 35 31 0 94

N.S.

1 0.00 1.42 1.10 1.84 1.13 1.00 0.00 3.03

time (sec)

N/A 0.000 3.801 0.684 0.453 0.246 0.274 0.000 13.637

Problem 2232

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

26 0 33 33 68 63 32 0 82

N.S.

1 0.00 1.27 1.27 2.62 2.42 1.23 0.00 3.15

time (sec)

N/A 0.000 0.094 0.986 0.249 0.250 0.116 0.000 13.507

Problem 2233

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A B F A A A B

verified

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

size

29 0 28 96 0 30 27 47 30

N.S.

1 0.00 0.97 3.31 0.00 1.03 0.93 1.62 1.03

time (sec)

N/A 0.000 1.114 88.544 0.000 0.236 0.388 1.529 13.103

Problem 2234

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

23 20 20 18 0 17 17 17 17

N.S.

1 0.87 0.87 0.78 0.00 0.74 0.74 0.74 0.74

time (sec)

N/A 0.531 0.059 0.183 0.000 0.249 0.119 0.301 13.730

Problem 2235

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 29 32 35 40 34 32 42 37

N.S.

1 0.97 1.07 1.17 1.33 1.13 1.07 1.40 1.23

time (sec)

N/A 0.195 0.019 0.250 0.183 0.244 0.062 0.311 0.203

Problem 2236

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A C A C B A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

24 106 24 28 43 39 17 39 21

N.S.

1 4.42 1.00 1.17 1.79 1.62 0.71 1.62 0.88

time (sec)

N/A 0.620 0.143 6.032 0.302 0.248 0.119 0.296 13.757

Problem 2237

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

23 28 28 52 64 54 49 54 55

N.S.

1 1.22 1.22 2.26 2.78 2.35 2.13 2.35 2.39

time (sec)

N/A 1.189 0.116 0.151 0.957 0.242 0.127 0.373 14.057

Problem 2238

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A A A A A B

verified

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

size

27 0 24 24 24 24 22 24 24

N.S.

1 0.00 0.89 0.89 0.89 0.89 0.81 0.89 0.89

time (sec)

N/A 0.000 0.381 0.385 0.225 0.248 0.074 0.320 12.802

Problem 2239

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

27 0 27 34 0 33 34 23 25

N.S.

1 0.00 1.00 1.26 0.00 1.22 1.26 0.85 0.93

time (sec)

N/A 0.000 0.181 10.240 0.000 0.250 0.398 0.560 12.776

Problem 2240

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F A A B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

26 48 30 30 0 29 26 51 28

N.S.

1 1.85 1.15 1.15 0.00 1.12 1.00 1.96 1.08

time (sec)

N/A 0.224 0.164 0.161 0.000 0.235 1.671 0.292 12.838

Problem 2241

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

7 5 5 6 5 5 5 5 5

N.S.

1 0.71 0.71 0.86 0.71 0.71 0.71 0.71 0.71

time (sec)

N/A 0.138 0.002 0.062 0.188 0.249 0.041 0.289 12.589

Problem 2242

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A A A A A B

verified

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

size

19 0 21 18 19 19 15 21 21

N.S.

1 0.00 1.11 0.95 1.00 1.00 0.79 1.11 1.11

time (sec)

N/A 0.000 0.106 0.247 0.322 0.254 0.079 0.313 12.834

Problem 2243

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

28 41 23 27 0 22 26 30 27

N.S.

1 1.46 0.82 0.96 0.00 0.79 0.93 1.07 0.96

time (sec)

N/A 0.841 1.905 0.312 0.000 0.255 0.065 0.291 0.158

Problem 2244

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 10 10 11 10 10 8 11 10

N.S.

1 0.53 0.53 0.58 0.53 0.53 0.42 0.58 0.53

time (sec)

N/A 0.137 0.004 0.155 0.172 0.234 0.030 0.287 0.032

Problem 2245

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F F A B A A B B

verified

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

size

22 0 0 28 47 27 27 59 27

N.S.

1 0.00 0.00 1.27 2.14 1.23 1.23 2.68 1.23

time (sec)

N/A 0.000 0.000 1.155 0.313 0.242 0.154 0.821 14.003

Problem 2246

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

33 0 39 51 50 50 49 160 0

N.S.

1 0.00 1.18 1.55 1.52 1.52 1.48 4.85 0.00

time (sec)

N/A 0.000 0.306 161.895 0.378 0.264 1.429 0.790 0.000

Problem 2247

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

24 0 22 16 19 15 0 22 19

N.S.

1 0.00 0.92 0.67 0.79 0.62 0.00 0.92 0.79

time (sec)

N/A 0.000 0.206 0.513 0.327 0.249 0.000 0.306 14.253

Problem 2248

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A A A A A B

verified

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

size

20 0 16 19 21 17 15 17 17

N.S.

1 0.00 0.80 0.95 1.05 0.85 0.75 0.85 0.85

time (sec)

N/A 0.000 0.189 0.669 0.272 0.241 18.125 0.387 13.433

Problem 2249

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B B A B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

27 40 37 37 408 61 39 147 43

N.S.

1 1.48 1.37 1.37 15.11 2.26 1.44 5.44 1.59

time (sec)

N/A 0.748 0.091 0.639 0.245 0.251 0.107 0.347 0.179

Problem 2250

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

24 13 13 16 13 15 15 13 17

N.S.

1 0.54 0.54 0.67 0.54 0.62 0.62 0.54 0.71

time (sec)

N/A 0.143 0.004 0.056 0.183 0.232 0.039 0.285 0.043

Problem 2251

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 25 25 24 23 23 24 23 23

N.S.

1 1.39 1.39 1.33 1.28 1.28 1.33 1.28 1.28

time (sec)

N/A 0.297 0.021 0.026 0.193 0.249 0.057 0.268 12.842

Problem 2252

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A A A A F B

verified

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

size

24 0 23 22 35 40 22 0 22

N.S.

1 0.00 0.96 0.92 1.46 1.67 0.92 0.00 0.92

time (sec)

N/A 0.000 0.298 13.536 0.239 0.251 1.287 0.000 13.299

Problem 2253

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A B A A B B

verified

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

size

29 0 29 36 58 35 31 121 36

N.S.

1 0.00 1.00 1.24 2.00 1.21 1.07 4.17 1.24

time (sec)

N/A 0.000 0.152 0.146 0.322 0.278 0.090 0.366 0.863

Problem 2254

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

27 27 25 22 21 24 19 21 0

N.S.

1 1.00 0.93 0.81 0.78 0.89 0.70 0.78 0.00

time (sec)

N/A 3.472 0.782 1.939 0.307 0.261 0.124 0.335 0.000

Problem 2255

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 12 12 13 12 12 10 14 12

N.S.

1 0.63 0.63 0.68 0.63 0.63 0.53 0.74 0.63

time (sec)

N/A 0.172 0.005 0.194 0.180 0.249 0.053 0.286 0.049

Problem 2256

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

22 0 84 22 179 179 88 248 0

N.S.

1 0.00 3.82 1.00 8.14 8.14 4.00 11.27 0.00

time (sec)

N/A 0.000 4.288 0.276 0.251 0.250 0.195 0.374 0.000

Problem 2257

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A B A B B B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

23 248 38 63 107 112 122 55 92

N.S.

1 10.78 1.65 2.74 4.65 4.87 5.30 2.39 4.00

time (sec)

N/A 0.869 0.054 1.005 0.203 0.250 5.344 0.315 0.576

Problem 2258

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A C A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

25 22 22 23 40 21 24 21 20

N.S.

1 0.88 0.88 0.92 1.60 0.84 0.96 0.84 0.80

time (sec)

N/A 0.183 0.014 0.392 0.308 0.240 0.072 0.301 13.105

Problem 2259

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

33 24 24 24 23 26 19 26 23

N.S.

1 0.73 0.73 0.73 0.70 0.79 0.58 0.79 0.70

time (sec)

N/A 0.199 0.022 0.055 0.193 0.248 0.053 0.284 0.075

Problem 2260

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A C A A B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

11 14 11 11 26 10 7 23 10

N.S.

1 1.27 1.00 1.00 2.36 0.91 0.64 2.09 0.91

time (sec)

N/A 0.167 0.009 0.270 0.209 0.239 0.054 0.277 13.139

Problem 2261

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

25 53 39 33 57 40 32 53 0

N.S.

1 2.12 1.56 1.32 2.28 1.60 1.28 2.12 0.00

time (sec)

N/A 0.852 0.495 1.410 0.294 0.254 1.158 0.333 0.000

Problem 2262

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 20 18 16 15 15 15 15 17

N.S.

1 1.11 1.00 0.89 0.83 0.83 0.83 0.83 0.94

time (sec)

N/A 0.504 0.163 0.207 0.231 0.258 0.050 0.298 0.097

Problem 2263

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

33 0 49 566 46 49 0 81 51

N.S.

1 0.00 1.48 17.15 1.39 1.48 0.00 2.45 1.55

time (sec)

N/A 0.000 0.201 0.233 0.418 0.279 0.000 7.237 15.816

Problem 2264

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A B B B B A B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

24 64 64 59 104 48 46 58 54

N.S.

1 2.67 2.67 2.46 4.33 2.00 1.92 2.42 2.25

time (sec)

N/A 0.273 0.026 0.205 0.189 0.252 0.093 0.298 13.200

Problem 2265

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

37 115 30 29 28 30 0 29 26

N.S.

1 3.11 0.81 0.78 0.76 0.81 0.00 0.78 0.70

time (sec)

N/A 0.324 0.026 0.338 0.248 0.261 0.000 0.293 13.178

Problem 2266

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

26 25 46 24 56 23 19 23 23

N.S.

1 0.96 1.77 0.92 2.15 0.88 0.73 0.88 0.88

time (sec)

N/A 0.979 0.203 1.506 0.361 0.253 0.304 1.070 15.717

Problem 2267

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 22 22 19 18 23 19 23 21

N.S.

1 1.16 1.16 1.00 0.95 1.21 1.00 1.21 1.11

time (sec)

N/A 0.287 0.460 0.148 0.265 0.244 0.097 0.287 0.138

Problem 2268

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A A A B A B

verified

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

size

18 0 18 18 16 16 26 17 31

N.S.

1 0.00 1.00 1.00 0.89 0.89 1.44 0.94 1.72

time (sec)

N/A 0.000 0.640 0.051 0.224 0.252 0.089 0.286 13.502

Problem 2269

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 12 12 12 11 11 10 11 11

N.S.

1 0.86 0.86 0.86 0.79 0.79 0.71 0.79 0.79

time (sec)

N/A 0.254 0.013 0.239 0.194 0.247 0.053 0.279 13.167

Problem 2270

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A A A A F B

verified

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

size

30 0 25 22 21 23 19 0 21

N.S.

1 0.00 0.83 0.73 0.70 0.77 0.63 0.00 0.70

time (sec)

N/A 0.000 0.192 0.206 0.351 0.248 0.116 0.000 12.533

Problem 2271

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B B A B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

28 28 36 48 89 66 31 104 38

N.S.

1 1.00 1.29 1.71 3.18 2.36 1.11 3.71 1.36

time (sec)

N/A 1.194 1.236 1.449 0.301 0.240 0.109 0.297 12.863

Problem 2272

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

9 7 7 7 6 6 5 6 6

N.S.

1 0.78 0.78 0.78 0.67 0.67 0.56 0.67 0.67

time (sec)

N/A 0.132 0.001 0.062 0.185 0.230 0.032 0.282 0.016

Problem 2273

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A B A A B A B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

24 51 27 19 43 38 73 50 51

N.S.

1 2.12 1.12 0.79 1.79 1.58 3.04 2.08 2.12

time (sec)

N/A 0.210 0.017 0.311 0.186 0.244 0.129 0.293 13.020

Problem 2274

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A B A A A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

15 31 24 20 16 16 22 16 12

N.S.

1 2.07 1.60 1.33 1.07 1.07 1.47 1.07 0.80

time (sec)

N/A 0.162 0.010 0.073 0.182 0.249 0.056 0.286 0.071

Problem 2275

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 18 18 19 18 21 19 18 22

N.S.

1 1.00 1.00 1.06 1.00 1.17 1.06 1.00 1.22

time (sec)

N/A 0.169 0.005 0.075 0.196 0.259 0.057 0.303 13.029

Problem 2276

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 12 12 11 14 14 14 14 14

N.S.

1 0.92 0.92 0.85 1.08 1.08 1.08 1.08 1.08

time (sec)

N/A 0.190 0.061 0.142 0.197 0.246 0.054 0.280 14.064

Problem 2277

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F F A B B B F B

verified

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

size

26 0 0 36 226 218 70 0 221

N.S.

1 0.00 0.00 1.38 8.69 8.38 2.69 0.00 8.50

time (sec)

N/A 0.000 0.000 10.032 3.786 0.268 1.806 0.000 28.110

Problem 2278

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

14 18 18 17 0 16 22 16 13

N.S.

1 1.29 1.29 1.21 0.00 1.14 1.57 1.14 0.93

time (sec)

N/A 0.180 0.029 0.206 0.000 0.260 0.100 0.275 14.031

Problem 2279

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A A A A A B

verified

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

size

27 0 46 22 40 24 20 21 23

N.S.

1 0.00 1.70 0.81 1.48 0.89 0.74 0.78 0.85

time (sec)

N/A 0.000 1.972 0.164 0.224 0.259 0.099 0.288 14.202

Problem 2280

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F F A A A A A B

verified

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

size

16 0 0 17 16 16 15 16 16

N.S.

1 0.00 0.00 1.06 1.00 1.00 0.94 1.00 1.00

time (sec)

N/A 0.000 0.000 2.882 0.225 0.242 0.443 0.375 14.220

Problem 2281

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

28 0 28 37 29 29 58 83 0

N.S.

1 0.00 1.00 1.32 1.04 1.04 2.07 2.96 0.00

time (sec)

N/A 0.000 0.259 0.473 0.255 0.246 0.173 0.421 0.000

Problem 2282

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

32 0 0 54 61 50 26 0 0

N.S.

1 0.00 0.00 1.69 1.91 1.56 0.81 0.00 0.00

time (sec)

N/A 0.000 0.000 6.291 0.235 0.247 0.539 0.000 0.000

Problem 2283

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

23 70 26 23 19 24 0 0 35

N.S.

1 3.04 1.13 1.00 0.83 1.04 0.00 0.00 1.52

time (sec)

N/A 0.755 0.128 0.869 0.249 0.253 0.000 0.000 14.560

Problem 2284

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

15 21 15 15 64 17 14 17 14

N.S.

1 1.40 1.00 1.00 4.27 1.13 0.93 1.13 0.93

time (sec)

N/A 0.280 0.050 0.114 0.188 0.236 0.048 0.309 13.829

Problem 2285

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A B B B B B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

20 153 49 51 96 48 70 48 27

N.S.

1 7.65 2.45 2.55 4.80 2.40 3.50 2.40 1.35

time (sec)

N/A 0.344 0.080 0.226 0.332 0.266 0.113 0.308 0.249

Problem 2286

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A B B B B B

verified

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

size

38 0 44 34 105 136 58 14409 102

N.S.

1 0.00 1.16 0.89 2.76 3.58 1.53 379.18 2.68

time (sec)

N/A 0.000 0.494 3.566 0.364 0.260 0.184 1.988 15.165

Problem 2287

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 21 22 20 32 20 20

N.S.

1 1.00 1.00 1.11 1.16 1.05 1.68 1.05 1.05

time (sec)

N/A 0.522 0.052 0.259 0.215 0.250 0.078 0.335 14.124

Problem 2288

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F F A A A A A B

verified

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

size

27 0 0 25 25 24 20 20 35

N.S.

1 0.00 0.00 0.93 0.93 0.89 0.74 0.74 1.30

time (sec)

N/A 0.000 0.000 61.796 0.304 0.257 0.076 0.318 14.132

Problem 2289

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

24 33 24 39 114 31 26 24 31

N.S.

1 1.38 1.00 1.62 4.75 1.29 1.08 1.00 1.29

time (sec)

N/A 0.532 0.230 0.284 0.268 0.247 0.086 0.288 14.266

Problem 2290

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

19 22 16 15 14 25 14 66 14

N.S.

1 1.16 0.84 0.79 0.74 1.32 0.74 3.47 0.74

time (sec)

N/A 0.181 0.014 0.163 0.176 0.265 0.059 0.316 14.095

Problem 2291

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A B A A A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

19 39 15 15 27 27 27 12 28

N.S.

1 2.05 0.79 0.79 1.42 1.42 1.42 0.63 1.47

time (sec)

N/A 0.202 0.008 0.041 0.191 0.245 0.101 0.289 13.604

Problem 2292

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 18 16 14 13 22 14 15 13

N.S.

1 0.60 0.53 0.47 0.43 0.73 0.47 0.50 0.43

time (sec)

N/A 0.218 0.042 0.137 0.182 0.236 0.101 0.317 0.140

Problem 2293

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 13 13 12 11 11 12 19 11

N.S.

1 0.65 0.65 0.60 0.55 0.55 0.60 0.95 0.55

time (sec)

N/A 0.286 0.066 0.080 0.217 0.254 0.060 0.296 0.069

Problem 2294

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

24 20 18 14 15 16 12 15 12

N.S.

1 0.83 0.75 0.58 0.62 0.67 0.50 0.62 0.50

time (sec)

N/A 0.144 0.006 0.059 0.192 0.241 0.048 0.297 13.562

Problem 2295

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

24 22 31 31 30 32 29 56 35

N.S.

1 0.92 1.29 1.29 1.25 1.33 1.21 2.33 1.46

time (sec)

N/A 0.860 0.368 0.413 2.754 0.243 0.163 0.398 13.576

Problem 2296

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

35 23 23 22 21 35 20 21 21

N.S.

1 0.66 0.66 0.63 0.60 1.00 0.57 0.60 0.60

time (sec)

N/A 0.457 0.059 0.212 0.232 0.236 0.093 0.334 13.479

Problem 2297

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F B B B B B B B

verified

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

size

28 0 125 65 512 105 104 357 75

N.S.

1 0.00 4.46 2.32 18.29 3.75 3.71 12.75 2.68

time (sec)

N/A 0.000 0.062 0.444 0.218 0.255 0.160 0.313 14.238

Problem 2298

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A B A A B B A B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

19 47 34 34 37 37 32 37 30

N.S.

1 2.47 1.79 1.79 1.95 1.95 1.68 1.95 1.58

time (sec)

N/A 0.183 0.024 0.072 0.186 0.235 0.026 0.295 0.097

Problem 2299

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

28 0 41 56 82 82 209 283 0

N.S.

1 0.00 1.46 2.00 2.93 2.93 7.46 10.11 0.00

time (sec)

N/A 0.000 0.081 1.143 0.250 0.258 0.326 0.338 0.000

Problem 2300

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A A A A B B

verified

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

size

27 0 24 25 38 38 19 67 45

N.S.

1 0.00 0.89 0.93 1.41 1.41 0.70 2.48 1.67

time (sec)

N/A 0.000 0.317 0.579 0.223 0.247 0.072 0.300 0.491