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 A F B F(-1) A F F(-1)

verified

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

size

151 169 261 162 0 363 0 223 83 0

N.S.

1 1.12 1.73 1.07 0.00 2.40 0.00 1.48 0.55 0.00

time (sec)

N/A 1.000 6.676 0.972 0.000 0.105 0.000 0.172 0.235 0.000

Problem 102

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

227 275 360 222 0 485 0 290 83 0

N.S.

1 1.21 1.59 0.98 0.00 2.14 0.00 1.28 0.37 0.00

time (sec)

N/A 1.910 7.801 6.654 0.000 0.111 0.000 0.182 0.240 0.000

Problem 103

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

150 241 118 241 0 229 0 211 36 0

N.S.

1 1.61 0.79 1.61 0.00 1.53 0.00 1.41 0.24 0.00

time (sec)

N/A 1.321 1.340 0.312 0.000 0.101 0.000 0.198 0.175 0.000

Problem 104

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

107 109 118 134 0 200 0 156 36 0

N.S.

1 1.02 1.10 1.25 0.00 1.87 0.00 1.46 0.34 0.00

time (sec)

N/A 0.521 0.800 0.301 0.000 0.101 0.000 0.189 0.192 0.000

Problem 105

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

62 62 138 103 0 263 0 132 36 0

N.S.

1 1.00 2.23 1.66 0.00 4.24 0.00 2.13 0.58 0.00

time (sec)

N/A 0.352 0.881 0.271 0.000 0.095 0.000 0.159 0.169 0.000

Problem 106

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

135 253 292 144 0 369 0 185 36 0

N.S.

1 1.87 2.16 1.07 0.00 2.73 0.00 1.37 0.27 0.00

time (sec)

N/A 1.567 1.317 0.289 0.000 0.104 0.000 0.170 0.173 0.000

Problem 107

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

177 195 334 311 0 270 0 220 46 0

N.S.

1 1.10 1.89 1.76 0.00 1.53 0.00 1.24 0.26 0.00

time (sec)

N/A 1.747 1.121 0.321 0.000 0.129 0.000 0.237 0.185 0.000

Problem 108

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

134 146 128 212 0 237 0 121 46 0

N.S.

1 1.09 0.96 1.58 0.00 1.77 0.00 0.90 0.34 0.00

time (sec)

N/A 0.639 1.111 0.298 0.000 0.124 0.000 0.227 0.188 0.000

Problem 109

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

113 121 206 134 0 421 0 205 46 0

N.S.

1 1.07 1.82 1.19 0.00 3.73 0.00 1.81 0.41 0.00

time (sec)

N/A 0.636 3.032 0.294 0.000 0.108 0.000 0.166 0.175 0.000

Problem 110

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

144 262 294 144 0 383 0 168 46 0

N.S.

1 1.82 2.04 1.00 0.00 2.66 0.00 1.17 0.32 0.00

time (sec)

N/A 1.726 1.538 0.293 0.000 0.096 0.000 0.161 0.168 0.000

Problem 111

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

207 344 394 381 0 307 0 184 56 0

N.S.

1 1.66 1.90 1.84 0.00 1.48 0.00 0.89 0.27 0.00

time (sec)

N/A 2.173 1.319 0.355 0.000 0.112 0.000 0.267 0.193 0.000

Problem 112

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

167 175 284 288 0 279 0 140 56 0

N.S.

1 1.05 1.70 1.72 0.00 1.67 0.00 0.84 0.34 0.00

time (sec)

N/A 0.812 1.702 0.324 0.000 0.156 0.000 0.259 0.177 0.000

Problem 113

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

141 152 451 219 0 539 0 262 56 0

N.S.

1 1.08 3.20 1.55 0.00 3.82 0.00 1.86 0.40 0.00

time (sec)

N/A 0.880 1.445 0.315 0.000 0.125 0.000 0.169 0.178 0.000

Problem 114

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

191 376 332 182 0 564 0 240 56 0

N.S.

1 1.97 1.74 0.95 0.00 2.95 0.00 1.26 0.29 0.00

time (sec)

N/A 2.985 3.319 0.316 0.000 0.112 0.000 0.174 0.179 0.000

Problem 115

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

964 988 232 0 0 0 0 0 25 0

N.S.

1 1.02 0.24 0.00 0.00 0.00 0.00 0.00 0.03 0.00

time (sec)

N/A 0.883 5.516 0.000 0.000 0.000 0.000 0.000 0.194 0.000

Problem 116

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

123 131 209 0 0 0 0 0 25 0

N.S.

1 1.07 1.70 0.00 0.00 0.00 0.00 0.00 0.20 0.00

time (sec)

N/A 0.608 3.866 0.000 0.000 0.000 0.000 0.000 0.196 0.000

Problem 117

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

80 136 2692 0 0 0 0 0 25 0

N.S.

1 1.70 33.65 0.00 0.00 0.00 0.00 0.00 0.31 0.00

time (sec)

N/A 0.375 43.363 0.000 0.000 0.000 0.000 0.000 0.182 0.000

Problem 118

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

80 136 2796 0 0 0 0 0 25 0

N.S.

1 1.70 34.95 0.00 0.00 0.00 0.00 0.00 0.31 0.00

time (sec)

N/A 0.378 49.282 0.000 0.000 0.000 0.000 0.000 0.186 0.000

Problem 119

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

538 578 128 0 0 0 0 0 25 0

N.S.

1 1.07 0.24 0.00 0.00 0.00 0.00 0.00 0.05 0.00

time (sec)

N/A 0.489 1.524 0.000 0.000 0.000 0.000 0.000 0.194 0.000

Problem 120

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

126 133 100 0 0 0 0 0 25 0

N.S.

1 1.06 0.79 0.00 0.00 0.00 0.00 0.00 0.20 0.00

time (sec)

N/A 0.612 1.057 0.000 0.000 0.000 0.000 0.000 0.168 0.000

Problem 121

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

80 136 0 0 0 0 0 0 25 0

N.S.

1 1.70 0.00 0.00 0.00 0.00 0.00 0.00 0.31 0.00

time (sec)

N/A 0.359 0.000 0.000 0.000 0.000 0.000 0.000 0.196 0.000

Problem 122

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

80 136 0 0 0 0 0 0 25 0

N.S.

1 1.70 0.00 0.00 0.00 0.00 0.00 0.00 0.31 0.00

time (sec)

N/A 0.352 0.000 0.000 0.000 0.000 0.000 0.000 0.199 0.000

Problem 123

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

269 269 4726 0 0 0 0 0 77 0

N.S.

1 1.00 17.57 0.00 0.00 0.00 0.00 0.00 0.29 0.00

time (sec)

N/A 0.645 35.514 0.000 0.000 0.000 0.000 0.000 0.221 0.000

Problem 124

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

187 187 2054 0 0 0 0 0 56 0

N.S.

1 1.00 10.98 0.00 0.00 0.00 0.00 0.00 0.30 0.00

time (sec)

N/A 0.486 16.832 0.000 0.000 0.000 0.000 0.000 0.193 0.000

Problem 125

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

129 129 0 0 0 0 0 0 33 0

N.S.

1 1.00 0.00 0.00 0.00 0.00 0.00 0.00 0.26 0.00

time (sec)

N/A 0.372 0.000 0.000 0.000 0.000 0.000 0.000 0.199 0.000

Problem 126

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

108 108 232 0 0 0 0 0 28 0

N.S.

1 1.00 2.15 0.00 0.00 0.00 0.00 0.00 0.26 0.00

time (sec)

N/A 0.421 2.571 0.000 0.000 0.000 0.000 0.000 0.208 0.000

Problem 127

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

138 142 626 0 0 0 0 0 38 0

N.S.

1 1.03 4.54 0.00 0.00 0.00 0.00 0.00 0.28 0.00

time (sec)

N/A 0.492 7.282 0.000 0.000 0.000 0.000 0.000 0.195 0.000

Problem 128

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

248 252 1276 0 0 0 0 0 25 0

N.S.

1 1.02 5.15 0.00 0.00 0.00 0.00 0.00 0.10 0.00

time (sec)

N/A 0.650 17.797 0.000 0.000 0.000 0.000 0.000 200.024 0.000

Problem 129

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

111 156 0 0 0 0 0 0 27 0

N.S.

1 1.41 0.00 0.00 0.00 0.00 0.00 0.00 0.24 0.00

time (sec)

N/A 0.389 0.000 0.000 0.000 0.000 0.000 0.000 0.194 0.000

Problem 130

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

163 167 105 0 0 0 0 0 23 0

N.S.

1 1.02 0.64 0.00 0.00 0.00 0.00 0.00 0.14 0.00

time (sec)

N/A 0.300 0.183 0.000 0.000 0.000 0.000 0.000 0.174 0.000

Problem 131

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

72 75 63 0 0 0 0 0 21 0

N.S.

1 1.04 0.88 0.00 0.00 0.00 0.00 0.00 0.29 0.00

time (sec)

N/A 0.226 0.061 0.000 0.000 0.000 0.000 0.000 0.184 0.000

Problem 132

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

43 43 43 0 0 0 0 0 21 0

N.S.

1 1.00 1.00 0.00 0.00 0.00 0.00 0.00 0.49 0.00

time (sec)

N/A 0.220 0.043 0.000 0.000 0.000 0.000 0.000 0.171 0.000

Problem 133

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

83 81 68 0 0 0 0 0 23 0

N.S.

1 0.98 0.82 0.00 0.00 0.00 0.00 0.00 0.28 0.00

time (sec)

N/A 0.245 0.134 0.000 0.000 0.000 0.000 0.000 0.181 0.000

Problem 134

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

123 123 83 0 0 0 0 0 23 0

N.S.

1 1.00 0.67 0.00 0.00 0.00 0.00 0.00 0.19 0.00

time (sec)

N/A 0.278 0.202 0.000 0.000 0.000 0.000 0.000 0.189 0.000

Problem 135

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

319 352 0 0 0 0 0 0 23 0

N.S.

1 1.10 0.00 0.00 0.00 0.00 0.00 0.00 0.07 0.00

time (sec)

N/A 0.480 0.000 0.000 0.000 0.000 0.000 0.000 0.187 0.000

Problem 136

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

157 161 1756 0 0 0 0 0 23 0

N.S.

1 1.03 11.18 0.00 0.00 0.00 0.00 0.00 0.15 0.00

time (sec)

N/A 0.598 23.635 0.000 0.000 0.000 0.000 0.000 0.194 0.000

Problem 137

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

74 74 70 0 0 0 0 0 14 0

N.S.

1 1.00 0.95 0.00 0.00 0.00 0.00 0.00 0.19 0.00

time (sec)

N/A 0.267 0.112 0.000 0.000 0.000 0.000 0.000 0.184 0.000

Problem 138

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

105 116 0 0 0 0 0 0 23 0

N.S.

1 1.10 0.00 0.00 0.00 0.00 0.00 0.00 0.22 0.00

time (sec)

N/A 0.303 0.000 0.000 0.000 0.000 0.000 0.000 0.217 0.000

Problem 139

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

105 116 0 0 0 0 0 0 23 0

N.S.

1 1.10 0.00 0.00 0.00 0.00 0.00 0.00 0.22 0.00

time (sec)

N/A 0.305 0.000 0.000 0.000 0.000 0.000 0.000 0.213 0.000

Problem 140

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

85 96 82 81 73 90 0 91 100 176

N.S.

1 1.13 0.96 0.95 0.86 1.06 0.00 1.07 1.18 2.07

time (sec)

N/A 0.317 0.093 0.655 0.033 0.144 0.000 0.166 0.205 17.766

Problem 141

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

55 46 38 41 43 45 0 51 58 74

N.S.

1 0.84 0.69 0.75 0.78 0.82 0.00 0.93 1.05 1.35

time (sec)

N/A 0.221 0.013 0.384 0.027 0.093 0.000 0.135 0.190 17.684

Problem 142

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

24 24 35 23 22 24 0 23 42 47

N.S.

1 1.00 1.46 0.96 0.92 1.00 0.00 0.96 1.75 1.96

time (sec)

N/A 0.202 0.026 0.232 0.033 0.087 0.000 0.123 0.189 17.690

Problem 143

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 48 54 67 45 69 0 46 94 146

N.S.

1 0.89 1.00 1.24 0.83 1.28 0.00 0.85 1.74 2.70

time (sec)

N/A 0.231 0.014 0.635 0.031 0.092 0.000 0.132 0.190 17.471

Problem 144

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

81 69 81 101 69 110 0 70 116 207

N.S.

1 0.85 1.00 1.25 0.85 1.36 0.00 0.86 1.43 2.56

time (sec)

N/A 0.251 0.025 1.064 0.032 0.097 0.000 0.134 0.179 17.499

Problem 145

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

72 72 81 98 65 73 0 0 277 110

N.S.

1 1.00 1.12 1.36 0.90 1.01 0.00 0.00 3.85 1.53

time (sec)

N/A 0.284 0.124 1.030 0.110 0.140 0.000 0.000 0.197 19.849

Problem 146

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

38 38 47 59 39 47 0 1008 82 55

N.S.

1 1.00 1.24 1.55 1.03 1.24 0.00 26.53 2.16 1.45

time (sec)

N/A 0.243 0.081 0.599 0.114 0.081 0.000 0.662 0.191 17.514

Problem 147

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

41 41 75 49 54 84 0 108 74 158

N.S.

1 1.00 1.83 1.20 1.32 2.05 0.00 2.63 1.80 3.85

time (sec)

N/A 0.240 0.071 0.325 0.108 0.139 0.000 0.136 0.198 17.794

Problem 148

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

78 82 125 86 92 160 0 141 105 225

N.S.

1 1.05 1.60 1.10 1.18 2.05 0.00 1.81 1.35 2.88

time (sec)

N/A 0.296 0.096 0.618 0.111 0.094 0.000 0.159 0.213 17.465

Problem 149

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

117 122 164 129 125 222 0 199 150 288

N.S.

1 1.04 1.40 1.10 1.07 1.90 0.00 1.70 1.28 2.46

time (sec)

N/A 0.332 0.128 1.255 0.112 0.124 0.000 0.167 0.206 17.735

Problem 150

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

111 123 108 135 105 140 0 129 347 232

N.S.

1 1.11 0.97 1.22 0.95 1.26 0.00 1.16 3.13 2.09

time (sec)

N/A 0.368 0.322 1.884 0.032 0.105 0.000 0.195 0.224 17.759

Problem 151

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

78 70 145 69 70 74 0 83 129 150

N.S.

1 0.90 1.86 0.88 0.90 0.95 0.00 1.06 1.65 1.92

time (sec)

N/A 0.275 0.059 0.934 0.027 0.158 0.000 0.123 0.173 17.285

Problem 152

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

46 43 46 40 40 42 0 41 62 117

N.S.

1 0.93 1.00 0.87 0.87 0.91 0.00 0.89 1.35 2.54

time (sec)

N/A 0.229 0.020 0.367 0.032 0.094 0.000 0.117 0.171 17.106

Problem 153

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

84 75 92 93 69 115 0 70 166 221

N.S.

1 0.89 1.10 1.11 0.82 1.37 0.00 0.83 1.98 2.63

time (sec)

N/A 0.273 0.035 1.022 0.031 0.101 0.000 0.128 0.163 17.246

Problem 154

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

126 111 142 157 105 177 0 106 218 310

N.S.

1 0.88 1.13 1.25 0.83 1.40 0.00 0.84 1.73 2.46

time (sec)

N/A 0.311 0.056 2.106 0.032 0.132 0.000 0.135 0.166 17.641

Problem 155

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

143 149 176 185 119 118 0 0 307 235

N.S.

1 1.04 1.23 1.29 0.83 0.83 0.00 0.00 2.15 1.64

time (sec)

N/A 0.402 0.895 2.823 0.108 0.097 0.000 0.000 0.170 19.580

Problem 156

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

89 94 77 116 83 81 0 7670 119 147

N.S.

1 1.06 0.87 1.30 0.93 0.91 0.00 86.18 1.34 1.65

time (sec)

N/A 0.342 0.622 1.542 0.112 0.104 0.000 4.676 0.163 19.287

Problem 157

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

78 78 116 79 79 118 0 148 114 277

N.S.

1 1.00 1.49 1.01 1.01 1.51 0.00 1.90 1.46 3.55

time (sec)

N/A 0.298 0.672 0.571 0.108 0.096 0.000 0.149 0.177 17.430

Problem 158

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

127 133 293 145 138 218 0 241 180 584

N.S.

1 1.05 2.31 1.14 1.09 1.72 0.00 1.90 1.42 4.60

time (sec)

N/A 0.387 6.569 1.445 0.113 0.161 0.000 0.174 0.170 18.870

Problem 159

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

192 202 351 216 183 306 0 337 236 888

N.S.

1 1.05 1.83 1.12 0.95 1.59 0.00 1.76 1.23 4.62

time (sec)

N/A 0.435 1.283 2.983 0.120 0.111 0.000 0.200 0.178 20.988

Problem 160

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

150 157 141 206 162 194 0 197 491 366

N.S.

1 1.05 0.94 1.37 1.08 1.29 0.00 1.31 3.27 2.44

time (sec)

N/A 0.435 0.196 6.173 0.037 0.140 0.000 0.239 0.197 17.646

Problem 161

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

105 104 90 110 113 116 0 139 198 226

N.S.

1 0.99 0.86 1.05 1.08 1.10 0.00 1.32 1.89 2.15

time (sec)

N/A 0.351 0.147 3.455 0.028 0.100 0.000 0.143 0.190 17.498

Problem 162

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

67 61 67 56 57 66 0 58 79 118

N.S.

1 0.91 1.00 0.84 0.85 0.99 0.00 0.87 1.18 1.76

time (sec)

N/A 0.240 0.022 0.787 0.028 0.196 0.000 0.119 0.180 17.872

Problem 163

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

116 104 130 118 98 153 0 102 200 312

N.S.

1 0.90 1.12 1.02 0.84 1.32 0.00 0.88 1.72 2.69

time (sec)

N/A 0.307 0.066 2.005 0.027 0.160 0.000 0.135 0.164 17.844

Problem 164

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

165 147 195 212 142 225 0 146 268 424

N.S.

1 0.89 1.18 1.28 0.86 1.36 0.00 0.88 1.62 2.57

time (sec)

N/A 0.359 0.096 4.264 0.033 0.115 0.000 0.157 0.165 17.801

Problem 165

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

211 220 226 268 167 157 0 0 398 297

N.S.

1 1.04 1.07 1.27 0.79 0.74 0.00 0.00 1.89 1.41

time (sec)

N/A 0.511 1.054 8.574 0.115 0.091 0.000 0.000 0.159 19.279

Problem 166

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

142 146 113 169 119 116 0 0 171 249

N.S.

1 1.03 0.80 1.19 0.84 0.82 0.00 0.00 1.20 1.75

time (sec)

N/A 0.410 0.976 4.910 0.112 0.090 0.000 0.000 0.172 19.158

Problem 167

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

102 102 143 96 95 143 0 199 171 289

N.S.

1 1.00 1.40 0.94 0.93 1.40 0.00 1.95 1.68 2.83

time (sec)

N/A 0.330 1.394 1.720 0.107 0.101 0.000 0.159 0.201 18.012

Problem 168

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

186 194 355 186 187 293 0 421 265 405

N.S.

1 1.04 1.91 1.00 1.01 1.58 0.00 2.26 1.42 2.18

time (sec)

N/A 0.451 6.672 2.920 0.110 0.104 0.000 0.201 0.184 18.100

Problem 169

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

273 291 346 289 252 412 0 471 343 507

N.S.

1 1.07 1.27 1.06 0.92 1.51 0.00 1.73 1.26 1.86

time (sec)

N/A 0.540 2.495 6.036 0.113 0.122 0.000 0.240 0.165 18.062

Problem 170

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

244 264 184 189 288 261 0 307 988 498

N.S.

1 1.08 0.75 0.77 1.18 1.07 0.00 1.26 4.05 2.04

time (sec)

N/A 0.696 0.998 1.020 0.038 0.179 0.000 0.150 0.184 18.333

Problem 171

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

138 159 117 121 142 157 0 184 454 217

N.S.

1 1.15 0.85 0.88 1.03 1.14 0.00 1.33 3.29 1.57

time (sec)

N/A 0.414 0.391 0.550 0.033 0.121 0.000 0.146 0.175 18.069

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

74 75 65 71 65 63 0 74 105 91

N.S.

1 1.01 0.88 0.96 0.88 0.85 0.00 1.00 1.42 1.23

time (sec)

N/A 0.275 0.053 0.311 0.031 0.096 0.000 0.122 0.166 17.899

Problem 173

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

34 34 34 33 33 31 0 36 48 48

N.S.

1 1.00 1.00 0.97 0.97 0.91 0.00 1.06 1.41 1.41

time (sec)

N/A 0.233 0.018 0.319 0.029 0.090 0.000 0.121 0.169 17.864

Problem 174

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

84 78 65 76 77 118 0 91 172 144

N.S.

1 0.93 0.77 0.90 0.92 1.40 0.00 1.08 2.05 1.71

time (sec)

N/A 0.299 0.128 0.687 0.034 0.095 0.000 0.125 0.162 17.805

Problem 175

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

148 136 115 137 139 271 0 152 318 281

N.S.

1 0.92 0.78 0.93 0.94 1.83 0.00 1.03 2.15 1.90

time (sec)

N/A 0.358 0.778 1.408 0.033 0.152 0.000 0.126 0.175 17.960

Problem 176

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

177 184 195 214 0 476 0 241 827 372

N.S.

1 1.04 1.10 1.21 0.00 2.69 0.00 1.36 4.67 2.10

time (sec)

N/A 0.969 1.269 0.727 0.000 0.104 0.000 0.219 0.197 19.692

Problem 177

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

96 102 152 112 0 305 0 107 191 148

N.S.

1 1.06 1.58 1.17 0.00 3.18 0.00 1.11 1.99 1.54

time (sec)

N/A 0.503 0.340 0.410 0.000 0.107 0.000 0.200 0.185 17.916

Problem 178

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

80 93 108 109 0 314 0 129 89 204

N.S.

1 1.16 1.35 1.36 0.00 3.92 0.00 1.61 1.11 2.55

time (sec)

N/A 0.676 0.349 0.563 0.000 0.124 0.000 0.144 0.185 18.142

Problem 179

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

154 170 350 223 0 633 0 273 232 654

N.S.

1 1.10 2.27 1.45 0.00 4.11 0.00 1.77 1.51 4.25

time (sec)

N/A 1.022 6.276 1.067 0.000 0.235 0.000 0.163 0.173 18.420

Problem 180

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

307 345 504 390 0 1079 0 490 416 1099

N.S.

1 1.12 1.64 1.27 0.00 3.51 0.00 1.60 1.36 3.58

time (sec)

N/A 2.325 1.403 1.951 0.000 0.376 0.000 0.174 0.188 18.157

Problem 181

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

277 288 204 205 505 555 0 409 2643 755

N.S.

1 1.04 0.74 0.74 1.82 2.00 0.00 1.48 9.54 2.73

time (sec)

N/A 1.064 4.658 2.031 0.044 0.336 0.000 0.166 0.202 18.834

Problem 182

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

161 184 145 143 274 388 0 265 1400 351

N.S.

1 1.14 0.90 0.89 1.70 2.41 0.00 1.65 8.70 2.18

time (sec)

N/A 0.606 0.576 1.041 0.036 0.162 0.000 0.149 0.189 18.374

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

109 127 162 98 124 195 0 149 459 158

N.S.

1 1.17 1.49 0.90 1.14 1.79 0.00 1.37 4.21 1.45

time (sec)

N/A 0.347 0.233 0.705 0.033 0.125 0.000 0.122 0.185 18.063

Problem 184

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 50 42 49 47 69 0 55 119 105

N.S.

1 0.94 0.79 0.92 0.89 1.30 0.00 1.04 2.25 1.98

time (sec)

N/A 0.249 0.065 0.581 0.033 0.105 0.000 0.133 0.160 17.841

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

114 105 96 105 116 259 0 125 347 235

N.S.

1 0.92 0.84 0.92 1.02 2.27 0.00 1.10 3.04 2.06

time (sec)

N/A 0.324 0.467 1.890 0.035 0.140 0.000 0.139 0.203 17.966

Problem 186

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

188 173 187 172 189 542 0 198 578 439

N.S.

1 0.92 0.99 0.91 1.01 2.88 0.00 1.05 3.07 2.34

time (sec)

N/A 0.407 6.108 3.910 0.038 0.120 0.000 0.135 0.199 17.849

Problem 187

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

333 333 341 248 0 815 0 406 1255 722

N.S.

1 1.00 1.02 0.74 0.00 2.45 0.00 1.22 3.77 2.17

time (sec)

N/A 0.889 1.607 1.484 0.000 0.156 0.000 0.255 0.207 19.758

Problem 188

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

200 200 169 162 0 569 0 251 494 313

N.S.

1 1.00 0.84 0.81 0.00 2.84 0.00 1.26 2.47 1.56

time (sec)

N/A 0.567 0.969 0.773 0.000 0.164 0.000 0.222 0.170 19.078

Problem 189

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

115 161 139 156 0 768 0 218 401 1616

N.S.

1 1.40 1.21 1.36 0.00 6.68 0.00 1.90 3.49 14.05

time (sec)

N/A 1.020 0.818 1.444 0.000 0.248 0.000 0.157 0.175 19.029

Problem 190

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

238 266 403 287 0 1149 0 356 438 973

N.S.

1 1.12 1.69 1.21 0.00 4.83 0.00 1.50 1.84 4.09

time (sec)

N/A 1.524 6.371 2.849 0.000 0.263 0.000 0.175 0.176 17.925

Problem 191

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

424 506 361 465 0 2011 0 596 723 1424

N.S.

1 1.19 0.85 1.10 0.00 4.74 0.00 1.41 1.71 3.36

time (sec)

N/A 3.433 1.471 5.559 0.000 0.428 0.000 0.185 0.196 17.708

Problem 192

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

373 365 304 263 730 981 0 607 4732 1229

N.S.

1 0.98 0.82 0.71 1.96 2.63 0.00 1.63 12.69 3.29

time (sec)

N/A 1.502 6.285 4.006 0.047 0.562 0.000 0.177 0.276 20.629

Problem 193

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

232 256 196 197 441 788 0 363 2813 690

N.S.

1 1.10 0.84 0.85 1.90 3.40 0.00 1.56 12.12 2.97

time (sec)

N/A 0.836 1.706 1.976 0.046 0.419 0.000 0.162 0.197 18.633

Problem 194

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

149 163 213 134 228 462 0 210 1005 304

N.S.

1 1.09 1.43 0.90 1.53 3.10 0.00 1.41 6.74 2.04

time (sec)

N/A 0.393 1.638 1.832 0.037 0.198 0.000 0.130 0.194 18.175

Problem 195

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

75 69 60 66 81 154 0 72 225 369

N.S.

1 0.92 0.80 0.88 1.08 2.05 0.00 0.96 3.00 4.92

time (sec)

N/A 0.267 0.217 1.253 0.030 0.151 0.000 0.127 0.191 17.507

Problem 196

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

145 133 121 131 156 404 0 158 534 334

N.S.

1 0.92 0.83 0.90 1.08 2.79 0.00 1.09 3.68 2.30

time (sec)

N/A 0.358 0.715 5.352 0.035 0.115 0.000 0.130 0.291 17.593

Problem 197

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

221 203 195 207 236 754 0 229 851 563

N.S.

1 0.92 0.88 0.94 1.07 3.41 0.00 1.04 3.85 2.55

time (sec)

N/A 0.474 4.902 10.671 0.036 0.132 0.000 0.142 0.308 17.924

Problem 198

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

474 474 351 354 0 1249 0 632 2221 1099

N.S.

1 1.00 0.74 0.75 0.00 2.64 0.00 1.33 4.69 2.32

time (sec)

N/A 1.219 1.082 2.809 0.000 0.180 0.000 0.320 0.312 21.015

Problem 199

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

350 350 212 258 0 934 0 384 1084 627

N.S.

1 1.00 0.61 0.74 0.00 2.67 0.00 1.10 3.10 1.79

time (sec)

N/A 0.860 2.781 1.863 0.000 0.130 0.000 0.278 0.185 20.398

Problem 200

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

202 249 195 299 0 1394 0 339 1147 1762

N.S.

1 1.23 0.97 1.48 0.00 6.90 0.00 1.68 5.68 8.72

time (sec)

N/A 1.611 4.276 3.793 0.000 0.389 0.000 0.171 0.194 18.710