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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 A B A F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

28 35 32 21 28 65 19 0 20

N.S.

1 1.25 1.14 0.75 1.00 2.32 0.68 0.00 0.71

time (sec)

N/A 0.590 0.146 1.497 0.291 0.268 0.154 0.000 13.208

Problem 2102

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

29 0 28 28 34 49 31 38 45

N.S.

1 0.00 0.97 0.97 1.17 1.69 1.07 1.31 1.55

time (sec)

N/A 0.000 4.461 0.503 0.328 0.266 0.084 0.287 14.224

Problem 2103

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

27 19 19 39 20 33 34 0 34

N.S.

1 0.70 0.70 1.44 0.74 1.22 1.26 0.00 1.26

time (sec)

N/A 0.496 0.116 1.545 0.315 0.286 0.221 0.000 35.784

Problem 2104

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

26 404 63 43 683 42 49 60 0

N.S.

1 15.54 2.42 1.65 26.27 1.62 1.88 2.31 0.00

time (sec)

N/A 1.203 0.168 0.232 0.356 0.269 0.430 0.296 0.000

Problem 2105

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

26 37 25 28 32 41 27 32 32

N.S.

1 1.42 0.96 1.08 1.23 1.58 1.04 1.23 1.23

time (sec)

N/A 0.439 0.030 0.133 0.207 0.260 0.120 0.267 0.127

Problem 2106

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A C B A B B

verified

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

size

25 0 22 45 87 50 63 53 19

N.S.

1 0.00 0.88 1.80 3.48 2.00 2.52 2.12 0.76

time (sec)

N/A 0.000 0.190 0.466 0.265 0.265 0.225 0.289 13.616

Problem 2107

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A B B A B B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

26 61 64 41 48 48 71 61 52

N.S.

1 2.35 2.46 1.58 1.85 1.85 2.73 2.35 2.00

time (sec)

N/A 13.043 0.146 14.223 0.408 0.294 0.209 0.290 13.160

Problem 2108

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

21 46 19 17 21 21 22 21 16

N.S.

1 2.19 0.90 0.81 1.00 1.00 1.05 1.00 0.76

time (sec)

N/A 0.369 0.146 0.085 0.225 0.257 0.074 0.275 0.156

Problem 2109

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

26 0 32 24 31 40 32 30 38

N.S.

1 0.00 1.23 0.92 1.19 1.54 1.23 1.15 1.46

time (sec)

N/A 0.000 0.178 0.281 0.327 0.265 0.098 0.469 3.235

Problem 2110

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

30 0 34 31 43 30 37 30 29

N.S.

1 0.00 1.13 1.03 1.43 1.00 1.23 1.00 0.97

time (sec)

N/A 0.000 3.515 0.161 0.311 0.277 0.701 0.298 0.183

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

13 11 9 7 6 6 7 6 7

N.S.

1 0.85 0.69 0.54 0.46 0.46 0.54 0.46 0.54

time (sec)

N/A 0.148 0.026 0.063 0.191 0.240 0.032 0.268 0.040

Problem 2112

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

32 0 27 27 37 37 19 37 28

N.S.

1 0.00 0.84 0.84 1.16 1.16 0.59 1.16 0.88

time (sec)

N/A 0.000 5.597 0.287 0.234 0.258 0.049 0.289 13.020

Problem 2113

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F F A B B B B B

verified

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

size

25 0 0 43 88 56 61 216 134

N.S.

1 0.00 0.00 1.72 3.52 2.24 2.44 8.64 5.36

time (sec)

N/A 0.000 0.000 21.911 0.756 0.257 0.397 0.633 13.432

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

14 14 14 13 17 12 12 12 12

N.S.

1 1.00 1.00 0.93 1.21 0.86 0.86 0.86 0.86

time (sec)

N/A 0.262 0.027 0.134 0.336 0.263 0.081 0.294 12.620

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

12 11 11 11 10 10 5 10 10

N.S.

1 0.92 0.92 0.92 0.83 0.83 0.42 0.83 0.83

time (sec)

N/A 0.138 0.007 0.038 0.199 0.254 0.031 0.278 0.075

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

21 22 21 21 33 23 27 33 38

N.S.

1 1.05 1.00 1.00 1.57 1.10 1.29 1.57 1.81

time (sec)

N/A 0.181 0.636 0.189 0.340 0.257 7.899 0.280 12.275

Problem 2117

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

24 0 31 35 57 54 42 40 0

N.S.

1 0.00 1.29 1.46 2.38 2.25 1.75 1.67 0.00

time (sec)

N/A 0.000 0.105 1.652 0.321 0.265 0.152 0.351 0.000

Problem 2118

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

31 0 29 52 28 28 14 17 42

N.S.

1 0.00 0.94 1.68 0.90 0.90 0.45 0.55 1.35

time (sec)

N/A 0.000 0.225 9.102 0.240 0.254 0.072 0.310 13.443

Problem 2119

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

17 19 19 21 22 20 22 22 0

N.S.

1 1.12 1.12 1.24 1.29 1.18 1.29 1.29 0.00

time (sec)

N/A 0.369 0.044 4.908 0.330 0.256 2.368 0.289 0.000

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

13 19 13 11 10 10 8 10 10

N.S.

1 1.46 1.00 0.85 0.77 0.77 0.62 0.77 0.77

time (sec)

N/A 0.153 0.022 0.034 0.204 0.272 0.043 0.272 13.117

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

18 18 16 13 13 12 17 13 12

N.S.

1 1.00 0.89 0.72 0.72 0.67 0.94 0.72 0.67

time (sec)

N/A 0.148 0.004 0.050 0.208 0.233 0.049 0.269 12.954

Problem 2122

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

23 0 22 50 55 55 60 0 0

N.S.

1 0.00 0.96 2.17 2.39 2.39 2.61 0.00 0.00

time (sec)

N/A 0.000 1.386 1.253 0.389 0.262 0.209 0.000 0.000

Problem 2123

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 19 19 15 18 17 15 17 14

N.S.

1 0.76 0.76 0.60 0.72 0.68 0.60 0.68 0.56

time (sec)

N/A 0.191 0.076 0.214 0.226 0.250 0.052 0.297 0.061

Problem 2124

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

30 0 30 29 59 58 34 62 0

N.S.

1 0.00 1.00 0.97 1.97 1.93 1.13 2.07 0.00

time (sec)

N/A 0.000 5.271 0.213 0.271 0.272 0.124 0.308 0.000

Problem 2125

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

21 35 23 19 30 30 31 30 30

N.S.

1 1.67 1.10 0.90 1.43 1.43 1.48 1.43 1.43

time (sec)

N/A 0.172 0.009 0.092 0.221 0.266 0.027 0.279 0.062

Problem 2126

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 34 38 199 53 122 154 0

N.S.

1 0.00 1.21 1.36 7.11 1.89 4.36 5.50 0.00

time (sec)

N/A 0.000 7.428 1.468 0.396 0.255 0.213 0.411 0.000

Problem 2127

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

29 55 47 47 51 48 46 48 51

N.S.

1 1.90 1.62 1.62 1.76 1.66 1.59 1.66 1.76

time (sec)

N/A 0.382 0.132 0.108 0.187 0.278 0.092 0.291 0.165

Problem 2128

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

16 13 13 14 0 111 58 542 337

N.S.

1 0.81 0.81 0.88 0.00 6.94 3.62 33.88 21.06

time (sec)

N/A 0.771 0.191 0.397 0.000 0.254 0.100 0.324 13.758

Problem 2129

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A B B A A B

verified

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

size

18 0 25 26 53 35 24 25 25

N.S.

1 0.00 1.39 1.44 2.94 1.94 1.33 1.39 1.39

time (sec)

N/A 0.000 0.156 0.398 0.316 0.250 0.191 0.297 13.419

Problem 2130

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A F A A A A F B

verified

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

size

32 40 0 43 43 42 41 0 46

N.S.

1 1.25 0.00 1.34 1.34 1.31 1.28 0.00 1.44

time (sec)

N/A 2.539 0.000 34.003 0.358 0.267 0.210 0.000 13.873

Problem 2131

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 56 18 30 28 19 22 29 19

N.S.

1 2.00 0.64 1.07 1.00 0.68 0.79 1.04 0.68

time (sec)

N/A 0.789 0.382 0.349 0.325 0.253 0.173 0.292 13.999

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

25 20 20 21 20 28 15 21 20

N.S.

1 0.80 0.80 0.84 0.80 1.12 0.60 0.84 0.80

time (sec)

N/A 0.240 0.012 0.046 0.200 0.233 0.037 0.288 0.056

Problem 2133

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

36 1104 57 34 0 42 100 1602 32

N.S.

1 30.67 1.58 0.94 0.00 1.17 2.78 44.50 0.89

time (sec)

N/A 7.296 10.146 0.578 0.000 0.260 3.035 0.372 13.776

Problem 2134

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

29 0 29 46 160 62 201 92 0

N.S.

1 0.00 1.00 1.59 5.52 2.14 6.93 3.17 0.00

time (sec)

N/A 0.000 5.105 4.596 0.339 0.251 0.343 0.343 0.000

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

14 14 14 12 11 11 14 11 11

N.S.

1 1.00 1.00 0.86 0.79 0.79 1.00 0.79 0.79

time (sec)

N/A 0.129 0.000 0.049 0.199 0.249 0.024 0.300 12.987

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

22 25 17 17 21 24 24 21 25

N.S.

1 1.14 0.77 0.77 0.95 1.09 1.09 0.95 1.14

time (sec)

N/A 0.372 0.080 0.072 0.305 0.253 0.072 0.284 13.078

Problem 2137

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

23 37 43 41 30 36 37 30 48

N.S.

1 1.61 1.87 1.78 1.30 1.57 1.61 1.30 2.09

time (sec)

N/A 0.161 0.011 0.231 0.195 0.260 0.029 0.271 0.155

Problem 2138

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 18 16 12 14 14 15 14 11

N.S.

1 1.12 1.00 0.75 0.88 0.88 0.94 0.88 0.69

time (sec)

N/A 0.174 0.002 0.252 0.186 0.246 0.026 0.278 0.026

Problem 2139

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

26 44 24 27 44 31 31 42 26

N.S.

1 1.69 0.92 1.04 1.69 1.19 1.19 1.62 1.00

time (sec)

N/A 0.414 0.134 0.184 0.213 0.267 0.123 0.298 12.932

Problem 2140

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

28 0 35 36 34 35 31 35 34

N.S.

1 0.00 1.25 1.29 1.21 1.25 1.11 1.25 1.21

time (sec)

N/A 0.000 0.093 35.858 0.250 0.262 0.482 0.673 13.616

Problem 2141

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

27 0 51 48 58 58 42 4300 0

N.S.

1 0.00 1.89 1.78 2.15 2.15 1.56 159.26 0.00

time (sec)

N/A 0.000 0.181 5.159 0.425 0.266 0.339 6.875 0.000

Problem 2142

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

15 15 15 14 13 13 14 13 13

N.S.

1 1.00 1.00 0.93 0.87 0.87 0.93 0.87 0.87

time (sec)

N/A 0.165 0.010 0.060 0.213 0.251 0.051 0.278 12.811

Problem 2143

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

31 0 265 90 1473 420 405 3734 0

N.S.

1 0.00 8.55 2.90 47.52 13.55 13.06 120.45 0.00

time (sec)

N/A 0.000 0.335 2.326 0.422 0.298 85.758 0.502 0.000

Problem 2144

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

29 24 38 22 36 36 20 36 0

N.S.

1 0.83 1.31 0.76 1.24 1.24 0.69 1.24 0.00

time (sec)

N/A 0.778 0.481 0.441 0.311 0.282 0.067 0.282 0.000

Problem 2145

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A C A A A B

verified

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

size

21 0 32 21 50 20 17 20 16

N.S.

1 0.00 1.52 1.00 2.38 0.95 0.81 0.95 0.76

time (sec)

N/A 0.000 0.171 0.044 0.238 0.243 0.043 0.282 13.610

Problem 2146

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 29 29 27 49 34 22 28 24

N.S.

1 1.16 1.16 1.08 1.96 1.36 0.88 1.12 0.96

time (sec)

N/A 0.387 0.067 0.178 0.233 0.260 0.054 0.293 12.841

Problem 2147

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A B B B B B B

verified

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

size

27 0 46 76 110 123 105 127 42

N.S.

1 0.00 1.70 2.81 4.07 4.56 3.89 4.70 1.56

time (sec)

N/A 0.000 10.109 0.337 0.263 0.253 0.125 0.350 13.649

Problem 2148

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A B A A B A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

32 192 26 27 162 27 24 27 20

N.S.

1 6.00 0.81 0.84 5.06 0.84 0.75 0.84 0.62

time (sec)

N/A 1.580 0.242 0.158 0.232 0.263 0.147 0.294 12.973

Problem 2149

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

28 0 25 25 24 30 22 24 24

N.S.

1 0.00 0.89 0.89 0.86 1.07 0.79 0.86 0.86

time (sec)

N/A 0.000 0.090 0.116 0.229 0.278 0.128 0.275 12.804

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

20 16 16 13 13 13 14 13 13

N.S.

1 0.80 0.80 0.65 0.65 0.65 0.70 0.65 0.65

time (sec)

N/A 0.166 0.270 0.140 0.196 0.239 0.055 0.267 0.100

Problem 2151

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 28 25 26 25 26 26 46

N.S.

1 0.00 1.17 1.04 1.08 1.04 1.08 1.08 1.92

time (sec)

N/A 0.000 0.199 70.375 0.319 0.261 0.285 0.344 12.902

Problem 2152

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

33 0 25 38 22 35 31 26 33

N.S.

1 0.00 0.76 1.15 0.67 1.06 0.94 0.79 1.00

time (sec)

N/A 0.000 1.799 0.177 0.396 0.253 0.105 0.355 13.205

Problem 2153

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

22 11 11 10 9 9 10 10 9

N.S.

1 0.50 0.50 0.45 0.41 0.41 0.45 0.45 0.41

time (sec)

N/A 0.155 0.003 0.092 0.194 0.248 0.050 0.285 12.984

Problem 2154

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

32 46 32 38 30 48 32 58 37

N.S.

1 1.44 1.00 1.19 0.94 1.50 1.00 1.81 1.16

time (sec)

N/A 0.320 3.884 0.599 0.248 0.248 0.172 0.303 12.275

Problem 2155

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

22 20 27 18 17 19 17 17 19

N.S.

1 0.91 1.23 0.82 0.77 0.86 0.77 0.77 0.86

time (sec)

N/A 0.130 0.000 0.033 0.186 0.232 0.020 0.277 0.002

Problem 2156

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

30 0 72 59 161 82 70 95 63

N.S.

1 0.00 2.40 1.97 5.37 2.73 2.33 3.17 2.10

time (sec)

N/A 0.000 0.109 0.890 0.258 0.258 0.237 0.297 12.661

Problem 2157

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

23 25 25 17 21 21 14 24 19

N.S.

1 1.09 1.09 0.74 0.91 0.91 0.61 1.04 0.83

time (sec)

N/A 0.370 0.243 0.089 0.217 0.256 0.045 0.271 0.098

Problem 2158

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

29 0 72 25 22 26 22 24 0

N.S.

1 0.00 2.48 0.86 0.76 0.90 0.76 0.83 0.00

time (sec)

N/A 0.000 1.402 0.618 0.343 0.250 0.153 0.333 0.000

Problem 2159

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

25 72 74 58 78 54 61 57 64

N.S.

1 2.88 2.96 2.32 3.12 2.16 2.44 2.28 2.56

time (sec)

N/A 0.303 0.014 0.049 0.200 0.270 0.106 0.260 13.047

Problem 2160

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

30 0 31 32 34 33 27 171 0

N.S.

1 0.00 1.03 1.07 1.13 1.10 0.90 5.70 0.00

time (sec)

N/A 0.000 0.052 1.470 0.317 0.248 0.100 0.546 0.000

Problem 2161

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

28 31 29 28 80 41 34 47 25

N.S.

1 1.11 1.04 1.00 2.86 1.46 1.21 1.68 0.89

time (sec)

N/A 0.503 0.070 0.117 0.239 0.247 0.199 0.280 0.155

Problem 2162

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

22 0 18 21 17 20 19 20 0

N.S.

1 0.00 0.82 0.95 0.77 0.91 0.86 0.91 0.00

time (sec)

N/A 0.000 0.195 0.708 0.210 0.244 0.086 0.291 0.000

Problem 2163

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A B B A B B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

22 58 58 45 58 44 44 45 26

N.S.

1 2.64 2.64 2.05 2.64 2.00 2.00 2.05 1.18

time (sec)

N/A 0.343 0.030 0.076 0.193 0.245 0.090 0.274 13.163

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

23 20 20 25 42 40 17 24 29

N.S.

1 0.87 0.87 1.09 1.83 1.74 0.74 1.04 1.26

time (sec)

N/A 0.572 0.029 0.068 0.228 0.243 0.057 0.531 13.337

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

14 17 20 10 13 13 14 13 9

N.S.

1 1.21 1.43 0.71 0.93 0.93 1.00 0.93 0.64

time (sec)

N/A 0.136 0.004 0.026 0.194 0.232 0.024 0.289 12.714

Problem 2166

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

29 0 31 87 56 33 51 75 0

N.S.

1 0.00 1.07 3.00 1.93 1.14 1.76 2.59 0.00

time (sec)

N/A 0.000 5.093 239.818 0.269 0.253 0.238 0.354 0.000

Problem 2167

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A A B A A B

verified

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

size

23 0 22 21 20 61 17 38 20

N.S.

1 0.00 0.96 0.91 0.87 2.65 0.74 1.65 0.87

time (sec)

N/A 0.000 0.309 0.372 0.180 0.247 0.099 0.336 0.326

Problem 2168

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

22 0 28 39 49 27 0 41 0

N.S.

1 0.00 1.27 1.77 2.23 1.23 0.00 1.86 0.00

time (sec)

N/A 0.000 0.051 3.556 0.322 0.253 0.000 0.307 0.000

Problem 2169

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

32 0 0 28 0 49 0 0 26

N.S.

1 0.00 0.00 0.88 0.00 1.53 0.00 0.00 0.81

time (sec)

N/A 0.000 0.000 0.348 0.000 0.257 0.000 0.000 13.108

Problem 2170

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

16 29 21 21 34 19 17 23 21

N.S.

1 1.81 1.31 1.31 2.12 1.19 1.06 1.44 1.31

time (sec)

N/A 0.495 0.050 0.225 0.232 0.244 0.069 0.290 13.008

Problem 2171

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 63 41 47 48 48 51 48 49

N.S.

1 3.15 2.05 2.35 2.40 2.40 2.55 2.40 2.45

time (sec)

N/A 0.183 0.030 0.073 0.203 0.246 0.030 0.275 0.118

Problem 2172

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

19 25 17 16 23 16 19 34 16

N.S.

1 1.32 0.89 0.84 1.21 0.84 1.00 1.79 0.84

time (sec)

N/A 0.251 0.146 0.133 0.233 0.232 0.055 0.277 12.533

Problem 2173

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

27 0 34 37 52 52 31 67 0

N.S.

1 0.00 1.26 1.37 1.93 1.93 1.15 2.48 0.00

time (sec)

N/A 0.000 0.093 11.460 0.261 0.268 0.130 0.503 0.000

Problem 2174

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

23 0 23 20 22 22 26 29 0

N.S.

1 0.00 1.00 0.87 0.96 0.96 1.13 1.26 0.00

time (sec)

N/A 0.000 2.311 0.247 0.256 0.260 0.093 0.296 0.000

Problem 2175

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

25 0 0 34 36 36 34 0 0

N.S.

1 0.00 0.00 1.36 1.44 1.44 1.36 0.00 0.00

time (sec)

N/A 0.000 0.000 0.574 0.329 0.248 0.154 0.000 0.000

Problem 2176

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A B F B B F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

30 34 28 51 0 66 54 0 63

N.S.

1 1.13 0.93 1.70 0.00 2.20 1.80 0.00 2.10

time (sec)

N/A 4.792 0.184 1.118 0.000 0.285 3.068 0.000 13.493

Problem 2177

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 20 18 17 17 15 17 18

N.S.

1 1.15 1.00 0.90 0.85 0.85 0.75 0.85 0.90

time (sec)

N/A 0.337 0.028 0.221 0.215 0.251 0.050 0.281 13.201

Problem 2178

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

22 0 20 38 37 36 36 37 42

N.S.

1 0.00 0.91 1.73 1.68 1.64 1.64 1.68 1.91

time (sec)

N/A 0.000 0.944 0.306 0.259 0.244 0.136 0.607 13.669

Problem 2179

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

23 0 23 34 0 35 29 36 0

N.S.

1 0.00 1.00 1.48 0.00 1.52 1.26 1.57 0.00

time (sec)

N/A 0.000 5.086 1.528 0.000 0.256 4.559 0.519 0.000

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

19 13 13 14 13 13 10 13 13

N.S.

1 0.68 0.68 0.74 0.68 0.68 0.53 0.68 0.68

time (sec)

N/A 0.194 0.007 0.176 0.189 0.239 0.036 0.285 0.318

Problem 2181

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

27 0 27 30 59 28 24 0 29

N.S.

1 0.00 1.00 1.11 2.19 1.04 0.89 0.00 1.07

time (sec)

N/A 0.000 0.946 44.168 0.309 0.242 0.713 0.000 13.831

Problem 2182

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

18 15 13 13 89 14 14 14 16

N.S.

1 0.83 0.72 0.72 4.94 0.78 0.78 0.78 0.89

time (sec)

N/A 0.176 0.078 0.047 0.308 0.239 0.047 0.286 0.092

Problem 2183

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

33 0 76 56 61 64 83 0 0

N.S.

1 0.00 2.30 1.70 1.85 1.94 2.52 0.00 0.00

time (sec)

N/A 0.000 0.169 4.053 0.312 0.275 0.891 0.000 0.000

Problem 2184

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A B A A A A B A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

23 183 27 29 46 44 44 30 43

N.S.

1 7.96 1.17 1.26 2.00 1.91 1.91 1.30 1.87

time (sec)

N/A 0.408 0.018 0.142 0.187 0.236 0.473 0.299 0.169

Problem 2185

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

16 15 15 17 18 18 12 43 16

N.S.

1 0.94 0.94 1.06 1.12 1.12 0.75 2.69 1.00

time (sec)

N/A 0.402 0.069 0.293 0.241 0.250 0.083 0.295 12.886

Problem 2186

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

30 0 32 28 31 27 24 27 29

N.S.

1 0.00 1.07 0.93 1.03 0.90 0.80 0.90 0.97

time (sec)

N/A 0.000 0.110 0.108 0.236 0.263 0.106 0.358 13.261

Problem 2187

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

24 0 0 21 26 26 0 0 25

N.S.

1 0.00 0.00 0.88 1.08 1.08 0.00 0.00 1.04

time (sec)

N/A 0.000 0.000 1.353 0.367 0.258 0.000 0.000 14.786

Problem 2188

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

27 146 39 41 71 39 0 31 37

N.S.

1 5.41 1.44 1.52 2.63 1.44 0.00 1.15 1.37

time (sec)

N/A 2.063 0.193 0.861 0.413 0.233 0.000 0.541 14.141

Problem 2189

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A B B B A B B

verified

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

size

30 0 36 68 70 64 42 78 30

N.S.

1 0.00 1.20 2.27 2.33 2.13 1.40 2.60 1.00

time (sec)

N/A 0.000 0.080 2.001 0.307 0.268 0.088 0.438 14.046

Problem 2190

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 43 15 13 12 12 12 12 14

N.S.

1 2.87 1.00 0.87 0.80 0.80 0.80 0.80 0.93

time (sec)

N/A 0.513 0.105 0.319 0.209 0.243 0.052 0.278 13.695

Problem 2191

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A B A A A A A B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

32 72 49 46 51 42 51 67 31

N.S.

1 2.25 1.53 1.44 1.59 1.31 1.59 2.09 0.97

time (sec)

N/A 0.311 0.811 0.169 0.264 0.257 0.175 0.271 0.212

Problem 2192

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

22 22 22 18 38 17 15 15 15

N.S.

1 1.00 1.00 0.82 1.73 0.77 0.68 0.68 0.68

time (sec)

N/A 0.189 0.012 0.123 0.202 0.257 0.082 0.284 13.297

Problem 2193

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 30 22 29 27 27 29 22

N.S.

1 0.00 1.20 0.88 1.16 1.08 1.08 1.16 0.88

time (sec)

N/A 0.000 2.730 0.526 0.264 0.251 0.099 0.284 13.346

Problem 2194

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 27 29 34 28 27 1134 28

N.S.

1 0.00 1.00 1.07 1.26 1.04 1.00 42.00 1.04

time (sec)

N/A 0.000 0.149 7.144 0.368 0.253 3.763 1.343 18.141

Problem 2195

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

30 0 0 29 31 28 24 29 28

N.S.

1 0.00 0.00 0.97 1.03 0.93 0.80 0.97 0.93

time (sec)

N/A 0.000 0.000 8.042 0.343 0.264 0.409 0.369 13.551

Problem 2196

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

27 26 0 23 24 24 19 25 0

N.S.

1 0.96 0.00 0.85 0.89 0.89 0.70 0.93 0.00

time (sec)

N/A 1.267 0.000 0.613 0.318 0.249 0.118 0.303 0.000

Problem 2197

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

20 23 17 17 0 16 26 24 0

N.S.

1 1.15 0.85 0.85 0.00 0.80 1.30 1.20 0.00

time (sec)

N/A 0.880 0.192 3.132 0.000 0.237 0.187 0.302 0.000

Problem 2198

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

31 0 28 25 24 28 22 24 24

N.S.

1 0.00 0.90 0.81 0.77 0.90 0.71 0.77 0.77

time (sec)

N/A 0.000 0.143 0.246 0.216 0.261 0.155 0.301 13.813

Problem 2199

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A B B A A B

verified

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

size

19 0 22 25 52 47 20 24 23

N.S.

1 0.00 1.16 1.32 2.74 2.47 1.05 1.26 1.21

time (sec)

N/A 0.000 0.054 0.149 0.234 0.253 0.085 0.532 13.584

Problem 2200

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 36 33 18 23 23 26 23 33

N.S.

1 2.00 1.83 1.00 1.28 1.28 1.44 1.28 1.83

time (sec)

N/A 0.403 1.237 0.116 0.189 0.260 0.087 0.289 0.146

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