Integrals 101 to 200

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 101

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

56 56 41 128 174 68 0 44 41 0

N.S.

1 1.00 0.73 2.29 3.11 1.21 0.00 0.79 0.73 0.00

time (sec)

N/A 0.329 0.027 0.913 0.208 0.104 0.000 0.116 0.213 0.000

Problem 102

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

65 65 44 159 300 197 0 78 53 0

N.S.

1 1.00 0.68 2.45 4.62 3.03 0.00 1.20 0.82 0.00

time (sec)

N/A 0.336 0.058 0.992 0.250 0.105 0.000 0.114 0.218 0.000

Problem 103

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

93 91 57 209 427 514 0 118 65 0

N.S.

1 0.98 0.61 2.25 4.59 5.53 0.00 1.27 0.70 0.00

time (sec)

N/A 0.444 0.103 1.020 0.225 0.097 0.000 0.122 0.225 0.000

Problem 104

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

57 57 51 63 0 99 0 84 46 0

N.S.

1 1.00 0.89 1.11 0.00 1.74 0.00 1.47 0.81 0.00

time (sec)

N/A 0.307 0.184 0.857 0.000 0.081 0.000 0.119 0.213 0.000

Problem 105

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

65 65 81 83 0 217 0 111 57 0

N.S.

1 1.00 1.25 1.28 0.00 3.34 0.00 1.71 0.88 0.00

time (sec)

N/A 0.320 0.282 0.945 0.000 0.097 0.000 0.121 0.214 0.000

Problem 106

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

94 92 118 118 0 548 0 189 70 0

N.S.

1 0.98 1.26 1.26 0.00 5.83 0.00 2.01 0.74 0.00

time (sec)

N/A 0.420 0.448 0.962 0.000 0.086 0.000 0.135 0.251 0.000

Problem 107

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

233 244 203 1365 0 1123 0 0 70 0

N.S.

1 1.05 0.87 5.86 0.00 4.82 0.00 0.00 0.30 0.00

time (sec)

N/A 1.426 0.412 25.397 0.000 0.103 0.000 0.000 0.224 0.000

Problem 108

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

181 187 124 973 0 623 0 0 48 0

N.S.

1 1.03 0.69 5.38 0.00 3.44 0.00 0.00 0.27 0.00

time (sec)

N/A 1.038 0.470 18.359 0.000 0.102 0.000 0.000 0.220 0.000

Problem 109

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

138 139 123 599 0 319 0 0 26 0

N.S.

1 1.01 0.89 4.34 0.00 2.31 0.00 0.00 0.19 0.00

time (sec)

N/A 0.770 0.250 14.028 0.000 0.084 0.000 0.000 0.246 0.000

Problem 110

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

60 60 59 73 0 240 403 50 1 242

N.S.

1 1.00 0.98 1.22 0.00 4.00 6.72 0.83 0.02 4.03

time (sec)

N/A 0.304 0.085 0.306 0.000 0.106 14.935 0.112 0.193 2.090

Problem 111

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

82 93 81 108 0 828 0 107 44 246

N.S.

1 1.13 0.99 1.32 0.00 10.10 0.00 1.30 0.54 3.00

time (sec)

N/A 0.381 0.140 0.400 0.000 0.098 0.000 0.115 0.210 2.393

Problem 112

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

135 161 134 207 0 3166 0 249 225 0

N.S.

1 1.19 0.99 1.53 0.00 23.45 0.00 1.84 1.67 0.00

time (sec)

N/A 0.639 0.288 0.644 0.000 0.159 0.000 0.119 0.233 0.000

Problem 113

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

197 239 196 342 0 7603 0 453 817 0

N.S.

1 1.21 0.99 1.74 0.00 38.59 0.00 2.30 4.15 0.00

time (sec)

N/A 0.949 0.486 1.071 0.000 0.329 0.000 0.124 0.252 0.000

Problem 114

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

56 63 56 81 0 190 168 57 41 205

N.S.

1 1.12 1.00 1.45 0.00 3.39 3.00 1.02 0.73 3.66

time (sec)

N/A 0.350 0.071 0.382 0.000 0.102 14.514 0.110 0.245 0.515

Problem 115

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

6 6 6 7 0 6 3 6 1 6

N.S.

1 1.00 1.00 1.17 0.00 1.00 0.50 1.00 0.17 1.00

time (sec)

N/A 0.169 0.000 0.123 0.000 0.070 0.083 0.108 0.220 0.021

Problem 116

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

11 11 11 12 0 54 0 26 25 51

N.S.

1 1.00 1.00 1.09 0.00 4.91 0.00 2.36 2.27 4.64

time (sec)

N/A 0.220 0.012 0.324 0.000 0.075 0.000 0.117 0.270 1.952

Problem 117

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A A A B B

verified

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

size

36 38 24 32 34 45 44 37 30 48

N.S.

1 1.06 0.67 0.89 0.94 1.25 1.22 1.03 0.83 1.33

time (sec)

N/A 0.295 0.046 0.253 0.107 0.092 0.356 0.114 0.226 0.114

Problem 118

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

108 108 80 218 0 184 0 0 9 0

N.S.

1 1.00 0.74 2.02 0.00 1.70 0.00 0.00 0.08 0.00

time (sec)

N/A 0.640 0.319 6.933 0.000 0.085 0.000 0.000 0.218 0.000

Problem 119

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

152 163 133 485 0 601 0 0 18 0

N.S.

1 1.07 0.88 3.19 0.00 3.95 0.00 0.00 0.12 0.00

time (sec)

N/A 0.834 0.279 7.425 0.000 0.092 0.000 0.000 0.248 0.000

Problem 120

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

231 241 172 797 0 2053 0 0 30 0

N.S.

1 1.04 0.74 3.45 0.00 8.89 0.00 0.00 0.13 0.00

time (sec)

N/A 1.223 0.618 11.669 0.000 0.184 0.000 0.000 0.262 0.000

Problem 121

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

72 78 39 38 71 817 0 79 65 0

N.S.

1 1.08 0.54 0.53 0.99 11.35 0.00 1.10 0.90 0.00

time (sec)

N/A 0.470 0.018 0.896 0.125 0.125 0.000 0.111 0.224 0.000

Problem 122

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

53 56 33 32 53 501 0 41 51 0

N.S.

1 1.06 0.62 0.60 1.00 9.45 0.00 0.77 0.96 0.00

time (sec)

N/A 0.386 0.014 0.809 0.138 0.094 0.000 0.111 0.240 0.000

Problem 123

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

34 34 23 24 35 222 0 29 33 0

N.S.

1 1.00 0.68 0.71 1.03 6.53 0.00 0.85 0.97 0.00

time (sec)

N/A 0.286 0.008 0.297 0.150 0.098 0.000 0.112 0.262 0.000

Problem 124

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A B A A B B

verified

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

size

13 13 13 15 17 69 15 14 5 17

N.S.

1 1.00 1.00 1.15 1.31 5.31 1.15 1.08 0.38 1.31

time (sec)

N/A 0.218 0.016 0.269 0.128 0.079 0.200 0.112 0.224 0.057

Problem 125

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

16 16 17 55 8 186 0 0 11 0

N.S.

1 1.00 1.06 3.44 0.50 11.62 0.00 0.00 0.69 0.00

time (sec)

N/A 0.230 0.005 0.296 0.173 0.081 0.000 0.000 0.216 0.000

Problem 126

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

42 42 26 82 41 299 0 56 58 0

N.S.

1 1.00 0.62 1.95 0.98 7.12 0.00 1.33 1.38 0.00

time (sec)

N/A 0.311 0.012 0.375 0.181 0.082 0.000 0.118 0.251 0.000

Problem 127

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

61 69 36 102 75 837 0 72 114 0

N.S.

1 1.13 0.59 1.67 1.23 13.72 0.00 1.18 1.87 0.00

time (sec)

N/A 0.411 0.025 0.374 0.190 0.093 0.000 0.114 0.256 0.000

Problem 128

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

121 99 65 0 0 802 0 0 16 0

N.S.

1 0.82 0.54 0.00 0.00 6.63 0.00 0.00 0.13 0.00

time (sec)

N/A 0.561 0.095 0.000 0.000 0.107 0.000 0.000 0.247 0.000

Problem 129

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

71 63 54 0 0 305 0 0 14 0

N.S.

1 0.89 0.76 0.00 0.00 4.30 0.00 0.00 0.20 0.00

time (sec)

N/A 0.393 0.064 0.000 0.000 0.087 0.000 0.000 0.258 0.000

Problem 130

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

48 45 59 0 0 54 0 0 11 0

N.S.

1 0.94 1.23 0.00 0.00 1.12 0.00 0.00 0.23 0.00

time (sec)

N/A 0.315 0.053 0.000 0.000 0.090 0.000 0.000 0.218 0.000

Problem 131

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

46 41 36 0 0 82 0 0 16 0

N.S.

1 0.89 0.78 0.00 0.00 1.78 0.00 0.00 0.35 0.00

time (sec)

N/A 0.337 0.029 0.000 0.000 0.082 0.000 0.000 0.238 0.000

Problem 132

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

75 65 48 0 0 554 0 0 16 0

N.S.

1 0.87 0.64 0.00 0.00 7.39 0.00 0.00 0.21 0.00

time (sec)

N/A 0.374 0.056 0.000 0.000 0.127 0.000 0.000 0.274 0.000

Problem 133

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

121 95 61 0 0 1473 0 0 16 0

N.S.

1 0.79 0.50 0.00 0.00 12.17 0.00 0.00 0.13 0.00

time (sec)

N/A 0.555 0.085 0.000 0.000 0.148 0.000 0.000 0.235 0.000

Problem 134

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

132 92 53 171 100 1597 0 76 87 0

N.S.

1 0.70 0.40 1.30 0.76 12.10 0.00 0.58 0.66 0.00

time (sec)

N/A 0.542 0.097 15.123 0.121 0.153 0.000 0.112 0.250 0.000

Problem 135

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

78 60 38 125 62 659 0 52 55 0

N.S.

1 0.77 0.49 1.60 0.79 8.45 0.00 0.67 0.71 0.00

time (sec)

N/A 0.405 0.062 0.572 0.134 0.156 0.000 0.117 0.217 0.000

Problem 136

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

36 29 25 83 27 180 0 28 26 0

N.S.

1 0.81 0.69 2.31 0.75 5.00 0.00 0.78 0.72 0.00

time (sec)

N/A 0.240 0.024 0.564 0.118 0.095 0.000 0.112 0.263 0.000

Problem 137

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

15 15 15 29 16 116 0 13 21 39

N.S.

1 1.00 1.00 1.93 1.07 7.73 0.00 0.87 1.40 2.60

time (sec)

N/A 0.232 0.005 0.491 0.121 0.083 0.000 0.112 0.216 0.068

Problem 138

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

67 48 30 48 165 1137 0 27 60 48

N.S.

1 0.72 0.45 0.72 2.46 16.97 0.00 0.40 0.90 0.72

time (sec)

N/A 0.252 0.024 0.528 0.121 0.105 0.000 0.118 0.300 0.133

Problem 139

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

117 68 47 60 457 3065 0 39 102 256

N.S.

1 0.58 0.40 0.51 3.91 26.20 0.00 0.33 0.87 2.19

time (sec)

N/A 0.279 0.041 0.549 0.146 0.181 0.000 0.117 0.260 1.911

Problem 140

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A B A A B B

verified

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

size

8 8 12 9 8 31 7 10 9 8

N.S.

1 1.00 1.50 1.12 1.00 3.88 0.88 1.25 1.12 1.00

time (sec)

N/A 0.190 0.009 0.277 0.032 0.082 0.181 0.107 0.251 0.078

Problem 141

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A B A A B B

verified

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

size

8 8 12 9 8 31 7 10 10 8

N.S.

1 1.00 1.50 1.12 1.00 3.88 0.88 1.25 1.25 1.00

time (sec)

N/A 0.199 0.009 0.310 0.025 0.065 0.169 0.109 0.237 1.828

Problem 142

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A A A B B

verified

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

size

12 12 18 11 12 20 7 10 20 10

N.S.

1 1.00 1.50 0.92 1.00 1.67 0.58 0.83 1.67 0.83

time (sec)

N/A 0.203 0.001 0.404 0.037 0.075 0.211 0.105 0.226 1.830

Problem 143

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A C A A A A A B B

verified

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

size

14 14 24 11 12 22 7 10 22 10

N.S.

1 1.00 1.71 0.79 0.86 1.57 0.50 0.71 1.57 0.71

time (sec)

N/A 0.203 0.001 0.457 0.031 0.081 0.345 0.110 0.220 0.048

Problem 144

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A B B B B B B

verified

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

size

10 10 13 11 23 48 58 21 40 10

N.S.

1 1.00 1.30 1.10 2.30 4.80 5.80 2.10 4.00 1.00

time (sec)

N/A 0.221 0.015 1.264 0.033 0.090 0.209 0.105 0.286 2.018

Problem 145

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A B B A B B

verified

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

size

12 12 13 11 23 54 58 22 40 10

N.S.

1 1.00 1.08 0.92 1.92 4.50 4.83 1.83 3.33 0.83

time (sec)

N/A 0.221 0.014 1.245 0.027 0.081 0.213 0.104 0.227 2.041

Problem 146

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A B A A B B

verified

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

size

10 10 12 9 8 55 15 12 16 8

N.S.

1 1.00 1.20 0.90 0.80 5.50 1.50 1.20 1.60 0.80

time (sec)

N/A 0.199 0.008 0.477 0.036 0.075 0.262 0.110 0.265 2.089

Problem 147

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A B A A B B

verified

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

size

12 12 12 11 8 55 14 12 14 8

N.S.

1 1.00 1.00 0.92 0.67 4.58 1.17 1.00 1.17 0.67

time (sec)

N/A 0.193 0.009 0.563 0.047 0.070 0.251 0.106 0.208 0.083

Problem 148

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A B B A A B B

verified

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

size

14 14 12 9 49 33 7 16 35 16

N.S.

1 1.00 0.86 0.64 3.50 2.36 0.50 1.14 2.50 1.14

time (sec)

N/A 0.208 0.076 0.689 0.039 0.071 0.296 0.109 0.275 0.094

Problem 149

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A B B A A B B

verified

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

size

16 16 12 9 49 33 8 16 35 16

N.S.

1 1.00 0.75 0.56 3.06 2.06 0.50 1.00 2.19 1.00

time (sec)

N/A 0.205 0.069 0.872 0.038 0.071 0.502 0.107 0.252 2.096

Problem 150

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A B B B A B B

verified

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

size

14 14 18 15 31 89 126 21 56 14

N.S.

1 1.00 1.29 1.07 2.21 6.36 9.00 1.50 4.00 1.00

time (sec)

N/A 0.223 0.009 1.056 0.033 0.101 0.269 0.114 0.253 2.183

Problem 151

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A B B A B B

verified

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

size

20 20 18 17 35 90 126 20 52 16

N.S.

1 1.00 0.90 0.85 1.75 4.50 6.30 1.00 2.60 0.80

time (sec)

N/A 0.224 0.008 1.270 0.037 0.078 0.259 0.114 0.260 1.976

Problem 152

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A B B B B A B B

verified

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

size

57 60 51 165 102 101 1253 90 111 131

N.S.

1 1.05 0.89 2.89 1.79 1.77 21.98 1.58 1.95 2.30

time (sec)

N/A 0.374 0.154 0.145 0.034 0.079 2.983 0.111 0.263 2.248

Problem 153

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A B B A B B

verified

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

size

46 47 27 40 84 94 284 75 89 107

N.S.

1 1.02 0.59 0.87 1.83 2.04 6.17 1.63 1.93 2.33

time (sec)

N/A 0.269 0.021 157.084 0.045 0.080 1.995 0.117 0.257 2.169

Problem 154

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A B B A B A B B

verified

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

size

44 46 39 96 78 57 692 66 83 95

N.S.

1 1.05 0.89 2.18 1.77 1.30 15.73 1.50 1.89 2.16

time (sec)

N/A 0.330 0.167 61.892 0.028 0.092 1.248 0.109 0.267 2.066

Problem 155

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A B A B B

verified

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

size

33 32 21 26 60 52 150 51 61 71

N.S.

1 0.97 0.64 0.79 1.82 1.58 4.55 1.55 1.85 2.15

time (sec)

N/A 0.241 0.015 22.314 0.039 0.080 0.835 0.109 0.239 2.027

Problem 156

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A B B A B A B B

verified

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

size

31 30 25 60 54 27 294 40 53 59

N.S.

1 0.97 0.81 1.94 1.74 0.87 9.48 1.29 1.71 1.90

time (sec)

N/A 0.257 0.113 7.096 0.037 0.075 0.471 0.117 0.231 1.954

Problem 157

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A B A B A B B

verified

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

size

16 16 13 16 36 18 49 27 31 35

N.S.

1 1.00 0.81 1.00 2.25 1.12 3.06 1.69 1.94 2.19

time (sec)

N/A 0.222 0.011 2.323 0.030 0.079 0.296 0.114 0.236 2.001

Problem 158

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A B A B B

verified

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

size

13 13 17 24 23 11 46 17 23 23

N.S.

1 1.00 1.31 1.85 1.77 0.85 3.54 1.31 1.77 1.77

time (sec)

N/A 0.213 0.039 0.567 0.038 0.080 0.188 0.111 0.254 1.974

Problem 159

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A A A B B

verified

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

size

9 11 12 12 11 16 7 17 9 9

N.S.

1 1.22 1.33 1.33 1.22 1.78 0.78 1.89 1.00 1.00

time (sec)

N/A 0.214 0.007 0.181 0.032 0.085 0.061 0.106 0.283 1.943

Problem 160

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A B B F B B B

verified

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

size

23 29 42 20 47 103 0 52 89 51

N.S.

1 1.26 1.83 0.87 2.04 4.48 0.00 2.26 3.87 2.22

time (sec)

N/A 0.289 0.022 0.582 0.034 0.082 0.000 0.112 0.262 1.987

Problem 161

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A B B F A B B

verified

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

size

24 24 30 24 59 94 0 35 33 89

N.S.

1 1.00 1.25 1.00 2.46 3.92 0.00 1.46 1.38 3.71

time (sec)

N/A 0.324 0.170 0.973 0.035 0.075 0.000 0.110 0.265 1.994

Problem 162

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A B B F A B B

verified

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

size

55 61 60 38 103 631 0 94 245 114

N.S.

1 1.11 1.09 0.69 1.87 11.47 0.00 1.71 4.45 2.07

time (sec)

N/A 0.322 0.102 2.277 0.031 0.084 0.000 0.108 0.257 2.017

Problem 163

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A C A A B B F A B B

verified

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

size

37 43 38 36 233 250 0 59 75 263

N.S.

1 1.16 1.03 0.97 6.30 6.76 0.00 1.59 2.03 7.11

time (sec)

N/A 0.337 0.124 5.173 0.035 0.076 0.000 0.113 0.276 1.995

Problem 164

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A B F A B B

verified

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

size

94 93 89 54 155 1551 0 116 405 244

N.S.

1 0.99 0.95 0.57 1.65 16.50 0.00 1.23 4.31 2.60

time (sec)

N/A 0.351 0.187 10.963 0.038 0.097 0.000 0.111 0.273 2.069

Problem 165

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

140 140 144 148 310 2134 0 229 444 289

N.S.

1 1.00 1.03 1.06 2.21 15.24 0.00 1.64 3.17 2.06

time (sec)

N/A 0.438 0.157 0.092 0.045 0.108 0.000 0.122 0.326 2.771

Problem 166

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

154 184 154 409 0 2913 0 266 373 348

N.S.

1 1.19 1.00 2.66 0.00 18.92 0.00 1.73 2.42 2.26

time (sec)

N/A 1.127 0.188 0.109 0.000 0.129 0.000 0.112 0.240 2.772

Problem 167

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

83 82 84 82 178 866 0 124 255 169

N.S.

1 0.99 1.01 0.99 2.14 10.43 0.00 1.49 3.07 2.04

time (sec)

N/A 0.348 0.115 112.233 0.037 0.096 0.000 0.117 0.235 2.311

Problem 168

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

104 125 95 223 0 1099 0 146 194 222

N.S.

1 1.20 0.91 2.14 0.00 10.57 0.00 1.40 1.87 2.13

time (sec)

N/A 0.642 0.138 30.005 0.000 0.099 0.000 0.111 0.255 2.355

Problem 169

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

40 40 40 39 84 234 0 56 115 79

N.S.

1 1.00 1.00 0.98 2.10 5.85 0.00 1.40 2.88 1.98

time (sec)

N/A 0.255 0.066 6.921 0.040 0.091 0.000 0.113 0.275 2.077

Problem 170

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

59 73 54 100 0 279 892 68 64 139

N.S.

1 1.24 0.92 1.69 0.00 4.73 15.12 1.15 1.08 2.36

time (sec)

N/A 0.413 0.089 1.334 0.000 0.111 52.895 0.116 0.258 2.071

Problem 171

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A B A A B B

verified

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

size

11 11 11 12 11 27 14 19 11 11

N.S.

1 1.00 1.00 1.09 1.00 2.45 1.27 1.73 1.00 1.00

time (sec)

N/A 0.201 0.028 0.250 0.027 0.091 0.084 0.111 0.261 0.063

Problem 172

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A F A B B

verified

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

size

53 66 49 52 59 58 0 67 66 160

N.S.

1 1.25 0.92 0.98 1.11 1.09 0.00 1.26 1.25 3.02

time (sec)

N/A 0.311 0.071 0.680 0.030 0.103 0.000 0.114 0.248 2.357

Problem 173

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

67 78 77 78 0 470 0 76 167 327

N.S.

1 1.16 1.15 1.16 0.00 7.01 0.00 1.13 2.49 4.88

time (sec)

N/A 0.337 0.175 1.240 0.000 0.084 0.000 0.117 0.237 2.605

Problem 174

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A B F B B B

verified

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

size

99 117 100 90 154 818 0 179 494 291

N.S.

1 1.18 1.01 0.91 1.56 8.26 0.00 1.81 4.99 2.94

time (sec)

N/A 0.394 0.334 2.883 0.050 0.107 0.000 0.109 0.237 2.547

Problem 175

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

110 134 141 127 0 2339 0 156 481 642

N.S.

1 1.22 1.28 1.15 0.00 21.26 0.00 1.42 4.37 5.84

time (sec)

N/A 0.600 0.388 6.718 0.000 0.136 0.000 0.114 0.269 3.093

Problem 176

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A B B F B B B

verified

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

size

167 196 165 138 348 3450 0 338 1180 559

N.S.

1 1.17 0.99 0.83 2.08 20.66 0.00 2.02 7.07 3.35

time (sec)

N/A 0.526 0.471 14.531 0.049 0.186 0.000 0.124 0.240 2.886

Problem 177

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

159 200 201 213 0 6381 0 303 919 1031

N.S.

1 1.26 1.26 1.34 0.00 40.13 0.00 1.91 5.78 6.48

time (sec)

N/A 0.966 1.210 29.243 0.000 0.165 0.000 0.124 0.247 3.641

Problem 178

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

67 72 61 99 0 700 0 68 252 139

N.S.

1 1.07 0.91 1.48 0.00 10.45 0.00 1.01 3.76 2.07

time (sec)

N/A 0.396 0.099 1.328 0.000 0.102 0.000 0.122 0.268 2.106

Problem 179

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

113 133 100 154 0 2003 0 144 516 722

N.S.

1 1.18 0.88 1.36 0.00 17.73 0.00 1.27 4.57 6.39

time (sec)

N/A 1.000 0.308 1.379 0.000 0.155 0.000 0.115 0.242 7.269

Problem 180

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A B F B B B

verified

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

size

57 59 46 95 96 450 0 115 292 1221

N.S.

1 1.04 0.81 1.67 1.68 7.89 0.00 2.02 5.12 21.42

time (sec)

N/A 0.344 0.098 0.766 0.125 0.102 0.000 0.114 0.230 2.607

Problem 181

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

61 75 61 78 0 326 0 67 111 285

N.S.

1 1.23 1.00 1.28 0.00 5.34 0.00 1.10 1.82 4.67

time (sec)

N/A 0.693 0.112 0.582 0.000 0.115 0.000 0.121 0.212 4.605

Problem 182

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A F A B B

verified

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

size

20 22 20 33 33 40 0 33 31 201

N.S.

1 1.10 1.00 1.65 1.65 2.00 0.00 1.65 1.55 10.05

time (sec)

N/A 0.235 0.008 0.336 0.114 0.084 0.000 0.108 0.296 0.452

Problem 183

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A F A B B

verified

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

size

54 59 50 53 59 60 0 67 65 148

N.S.

1 1.09 0.93 0.98 1.09 1.11 0.00 1.24 1.20 2.74

time (sec)

N/A 0.286 0.073 0.523 0.039 0.083 0.000 0.107 0.221 0.446

Problem 184

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

77 88 77 78 0 470 0 76 167 337

N.S.

1 1.14 1.00 1.01 0.00 6.10 0.00 0.99 2.17 4.38

time (sec)

N/A 0.487 0.172 0.820 0.000 0.113 0.000 0.112 0.240 2.363

Problem 185

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A B F A B B

verified

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

size

94 135 101 91 156 839 0 178 494 291

N.S.

1 1.44 1.07 0.97 1.66 8.93 0.00 1.89 5.26 3.10

time (sec)

N/A 0.439 0.281 1.292 0.044 0.105 0.000 0.119 0.327 2.510

Problem 186

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

137 158 131 127 0 2417 0 172 496 666

N.S.

1 1.15 0.96 0.93 0.00 17.64 0.00 1.26 3.62 4.86

time (sec)

N/A 0.906 0.370 2.085 0.000 0.111 0.000 0.122 0.276 2.736

Problem 187

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A B B F A B B

verified

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

size

46 47 58 64 89 750 0 58 151 183

N.S.

1 1.02 1.26 1.39 1.93 16.30 0.00 1.26 3.28 3.98

time (sec)

N/A 0.481 0.219 1.257 0.114 0.087 0.000 0.116 0.218 1.993

Problem 188

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A C A A B B F A B B

verified

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

size

30 38 25 43 223 174 0 48 77 117

N.S.

1 1.27 0.83 1.43 7.43 5.80 0.00 1.60 2.57 3.90

time (sec)

N/A 0.365 0.022 0.844 0.034 0.072 0.000 0.114 0.269 1.933

Problem 189

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A B B F A B B

verified

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

size

33 33 46 48 57 315 0 39 94 95

N.S.

1 1.00 1.39 1.45 1.73 9.55 0.00 1.18 2.85 2.88

time (sec)

N/A 0.394 0.141 0.634 0.116 0.094 0.000 0.113 0.255 1.868

Problem 190

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A C A A B B F A B B

verified

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

size

19 27 17 26 70 66 0 22 41 25

N.S.

1 1.42 0.89 1.37 3.68 3.47 0.00 1.16 2.16 1.32

time (sec)

N/A 0.286 0.017 0.426 0.035 0.076 0.000 0.107 0.248 1.849

Problem 191

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A B F A B B

verified

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

size

15 15 18 30 23 50 0 22 36 33

N.S.

1 1.00 1.20 2.00 1.53 3.33 0.00 1.47 2.40 2.20

time (sec)

N/A 0.299 0.167 0.352 0.132 0.088 0.000 0.118 0.255 1.923

Problem 192

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A F A B B

verified

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

size

18 22 12 14 24 28 0 22 21 26

N.S.

1 1.22 0.67 0.78 1.33 1.56 0.00 1.22 1.17 1.44

time (sec)

N/A 0.217 0.015 0.274 0.027 0.078 0.000 0.106 0.258 0.075

Problem 193

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A C A A A B F A B B

verified

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

size

33 42 42 20 48 103 0 52 87 51

N.S.

1 1.27 1.27 0.61 1.45 3.12 0.00 1.58 2.64 1.55

time (sec)

N/A 0.385 0.029 0.272 0.027 0.076 0.000 0.108 0.233 1.882

Problem 194

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A C A A B B F A B B

verified

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

size

30 36 25 29 121 91 0 35 47 92

N.S.

1 1.20 0.83 0.97 4.03 3.03 0.00 1.17 1.57 3.07

time (sec)

N/A 0.366 0.180 0.317 0.032 0.081 0.000 0.111 0.224 1.893

Problem 195

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A C A A B B F B B B

verified

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

size

46 59 60 38 103 631 0 94 245 132

N.S.

1 1.28 1.30 0.83 2.24 13.72 0.00 2.04 5.33 2.87

time (sec)

N/A 0.493 0.075 0.385 0.042 0.076 0.000 0.110 0.251 1.944

Problem 196

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A C A A B B F A B B

verified

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

size

41 46 41 45 469 224 0 59 103 263

N.S.

1 1.12 1.00 1.10 11.44 5.46 0.00 1.44 2.51 6.41

time (sec)

N/A 0.386 0.148 0.487 0.039 0.075 0.000 0.111 0.266 2.005

Problem 197

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

37 37 37 125 0 376 0 0 12 0

N.S.

1 1.00 1.00 3.38 0.00 10.16 0.00 0.00 0.32 0.00

time (sec)

N/A 0.246 0.017 0.461 0.000 0.262 0.000 0.000 0.213 0.000

Problem 198

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

24 24 24 104 0 356 0 0 20 0

N.S.

1 1.00 1.00 4.33 0.00 14.83 0.00 0.00 0.83 0.00

time (sec)

N/A 0.238 0.010 0.433 0.000 0.118 0.000 0.000 0.244 0.000

Problem 199

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

56 56 55 112 0 291 741 60 99 197

N.S.

1 1.00 0.98 2.00 0.00 5.20 13.23 1.07 1.77 3.52

time (sec)

N/A 0.336 0.076 0.614 0.000 0.107 13.298 0.110 0.249 4.046

Problem 200

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A B A A B B

verified

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

size

18 18 19 23 19 46 20 22 47 22

N.S.

1 1.00 1.06 1.28 1.06 2.56 1.11 1.22 2.61 1.22

time (sec)

N/A 0.276 0.024 0.316 0.025 0.091 0.145 0.104 0.235 0.059