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2.2.2 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 Mupad

grade

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

verified

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

size

267 266 97 0 0 243 0 0 0

N.S.

1 1.00 0.36 0.00 0.00 0.91 0.00 0.00 0.00

time (sec)

N/A 0.416 0.019 0.000 0.000 0.276 0.000 0.000 0.000

Problem 102

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

92 96 69 0 0 152 0 0 0

N.S.

1 1.04 0.75 0.00 0.00 1.65 0.00 0.00 0.00

time (sec)

N/A 0.218 0.012 0.000 0.000 0.276 0.000 0.000 0.000

Problem 103

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

132 135 81 0 0 176 0 0 0

N.S.

1 1.02 0.61 0.00 0.00 1.33 0.00 0.00 0.00

time (sec)

N/A 0.240 0.016 0.000 0.000 0.264 0.000 0.000 0.000

Problem 104

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

170 172 93 0 0 184 0 0 0

N.S.

1 1.01 0.55 0.00 0.00 1.08 0.00 0.00 0.00

time (sec)

N/A 0.275 0.019 0.000 0.000 0.275 0.000 0.000 0.000

Problem 105

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

202 207 99 0 0 192 0 0 0

N.S.

1 1.02 0.49 0.00 0.00 0.95 0.00 0.00 0.00

time (sec)

N/A 0.303 0.027 0.000 0.000 0.276 0.000 0.000 0.000

Problem 106

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

373 372 100 0 0 304 0 0 0

N.S.

1 1.00 0.27 0.00 0.00 0.82 0.00 0.00 0.00

time (sec)

N/A 0.503 0.034 0.000 0.000 0.285 0.000 0.000 0.000

Problem 107

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

371 354 91 0 0 296 0 0 0

N.S.

1 0.95 0.25 0.00 0.00 0.80 0.00 0.00 0.00

time (sec)

N/A 0.465 0.027 0.000 0.000 0.273 0.000 0.000 0.000

Problem 108

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

324 314 63 0 0 289 0 0 0

N.S.

1 0.97 0.19 0.00 0.00 0.89 0.00 0.00 0.00

time (sec)

N/A 0.428 0.022 0.000 0.000 0.271 0.000 0.000 0.000

Problem 109

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

299 273 39 0 0 261 0 0 0

N.S.

1 0.91 0.13 0.00 0.00 0.87 0.00 0.00 0.00

time (sec)

N/A 0.384 0.039 0.000 0.000 0.276 0.000 0.000 0.000

Problem 110

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

293 292 106 0 0 329 0 0 0

N.S.

1 1.00 0.36 0.00 0.00 1.12 0.00 0.00 0.00

time (sec)

N/A 0.458 0.041 0.000 0.000 0.281 0.000 0.000 0.000

Problem 111

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

121 127 69 0 0 212 0 0 0

N.S.

1 1.05 0.57 0.00 0.00 1.75 0.00 0.00 0.00

time (sec)

N/A 0.239 0.013 0.000 0.000 0.282 0.000 0.000 0.000

Problem 112

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

163 166 81 0 0 238 0 0 0

N.S.

1 1.02 0.50 0.00 0.00 1.46 0.00 0.00 0.00

time (sec)

N/A 0.261 0.018 0.000 0.000 0.270 0.000 0.000 0.000

Problem 113

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

203 205 93 0 0 246 0 0 0

N.S.

1 1.01 0.46 0.00 0.00 1.21 0.00 0.00 0.00

time (sec)

N/A 0.313 0.022 0.000 0.000 0.280 0.000 0.000 0.000

Problem 114

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

233 240 99 0 0 254 0 0 0

N.S.

1 1.03 0.42 0.00 0.00 1.09 0.00 0.00 0.00

time (sec)

N/A 0.343 0.027 0.000 0.000 0.276 0.000 0.000 0.000

Problem 115

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

319 302 73 0 0 208 0 0 0

N.S.

1 0.95 0.23 0.00 0.00 0.65 0.00 0.00 0.00

time (sec)

N/A 0.409 0.030 0.000 0.000 0.262 0.000 0.000 0.000

Problem 116

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

278 270 57 0 0 195 0 0 0

N.S.

1 0.97 0.21 0.00 0.00 0.70 0.00 0.00 0.00

time (sec)

N/A 0.378 0.016 0.000 0.000 0.293 0.000 0.000 0.000

Problem 117

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

262 237 34 0 0 195 0 0 0

N.S.

1 0.90 0.13 0.00 0.00 0.74 0.00 0.00 0.00

time (sec)

N/A 0.345 0.016 0.000 0.000 0.252 0.000 0.000 0.000

Problem 118

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

430 437 90 0 0 339 0 0 0

N.S.

1 1.02 0.21 0.00 0.00 0.79 0.00 0.00 0.00

time (sec)

N/A 0.469 0.024 0.000 0.000 0.253 0.000 0.000 0.000

Problem 119

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

253 258 64 0 0 211 0 0 0

N.S.

1 1.02 0.25 0.00 0.00 0.83 0.00 0.00 0.00

time (sec)

N/A 0.312 0.010 0.000 0.000 0.275 0.000 0.000 0.000

Problem 120

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

280 294 72 0 0 234 0 0 0

N.S.

1 1.05 0.26 0.00 0.00 0.84 0.00 0.00 0.00

time (sec)

N/A 0.337 0.013 0.000 0.000 0.272 0.000 0.000 0.000

Problem 121

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

319 328 81 0 0 243 0 0 0

N.S.

1 1.03 0.25 0.00 0.00 0.76 0.00 0.00 0.00

time (sec)

N/A 0.356 0.015 0.000 0.000 0.268 0.000 0.000 0.000

Problem 122

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

177 186 73 0 0 117 0 0 0

N.S.

1 1.05 0.41 0.00 0.00 0.66 0.00 0.00 0.00

time (sec)

N/A 0.258 0.026 0.000 0.000 0.286 0.000 0.000 0.000

Problem 123

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

140 156 54 0 0 116 0 0 0

N.S.

1 1.11 0.39 0.00 0.00 0.83 0.00 0.00 0.00

time (sec)

N/A 0.220 0.018 0.000 0.000 0.260 0.000 0.000 0.000

Problem 124

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

116 123 34 0 0 104 0 0 0

N.S.

1 1.06 0.29 0.00 0.00 0.90 0.00 0.00 0.00

time (sec)

N/A 0.196 0.017 0.000 0.000 0.261 0.000 0.000 0.000

Problem 125

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

163 175 90 0 0 145 0 0 0

N.S.

1 1.07 0.55 0.00 0.00 0.89 0.00 0.00 0.00

time (sec)

N/A 0.235 0.019 0.000 0.000 0.260 0.000 0.000 0.000

Problem 126

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

111 113 59 0 0 120 0 0 0

N.S.

1 1.02 0.53 0.00 0.00 1.08 0.00 0.00 0.00

time (sec)

N/A 0.213 0.010 0.000 0.000 0.260 0.000 0.000 0.000

Problem 127

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

142 149 69 0 0 138 0 0 0

N.S.

1 1.05 0.49 0.00 0.00 0.97 0.00 0.00 0.00

time (sec)

N/A 0.225 0.012 0.000 0.000 0.290 0.000 0.000 0.000

Problem 128

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

741 734 83 0 0 435 0 0 0

N.S.

1 0.99 0.11 0.00 0.00 0.59 0.00 0.00 0.00

time (sec)

N/A 0.807 0.030 0.000 0.000 0.280 0.000 0.000 0.000

Problem 129

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

689 697 63 0 0 428 0 0 0

N.S.

1 1.01 0.09 0.00 0.00 0.62 0.00 0.00 0.00

time (sec)

N/A 0.742 0.017 0.000 0.000 0.284 0.000 0.000 0.000

Problem 130

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

674 656 41 0 0 383 0 0 0

N.S.

1 0.97 0.06 0.00 0.00 0.57 0.00 0.00 0.00

time (sec)

N/A 0.699 0.022 0.000 0.000 0.288 0.000 0.000 0.000

Problem 131

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

859 918 97 0 0 509 0 0 0

N.S.

1 1.07 0.11 0.00 0.00 0.59 0.00 0.00 0.00

time (sec)

N/A 1.057 0.026 0.000 0.000 0.279 0.000 0.000 0.000

Problem 132

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

328 331 71 0 0 345 0 0 0

N.S.

1 1.01 0.22 0.00 0.00 1.05 0.00 0.00 0.00

time (sec)

N/A 0.403 0.015 0.000 0.000 0.282 0.000 0.000 0.000

Problem 133

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

364 370 84 0 0 381 0 0 0

N.S.

1 1.02 0.23 0.00 0.00 1.05 0.00 0.00 0.00

time (sec)

N/A 0.426 0.017 0.000 0.000 0.273 0.000 0.000 0.000

Problem 134

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

114 114 94 748 0 0 0 0 0

N.S.

1 1.00 0.82 6.56 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.270 0.034 0.757 0.000 0.000 0.000 0.000 0.000

Problem 135

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

50 50 58 417 0 0 0 0 0

N.S.

1 1.00 1.16 8.34 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.211 0.018 0.452 0.000 0.000 0.000 0.000 0.000

Problem 136

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

39 39 29 175 0 0 126 0 0

N.S.

1 1.00 0.74 4.49 0.00 0.00 3.23 0.00 0.00

time (sec)

N/A 0.186 0.006 0.296 0.000 0.000 1.629 0.000 0.000

Problem 137

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

39 39 29 158 0 0 133 0 0

N.S.

1 1.00 0.74 4.05 0.00 0.00 3.41 0.00 0.00

time (sec)

N/A 0.186 0.010 0.296 0.000 0.000 2.403 0.000 0.000

Problem 138

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

50 50 58 428 0 0 0 0 0

N.S.

1 1.00 1.16 8.56 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.215 0.018 0.569 0.000 0.000 0.000 0.000 0.000

Problem 139

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

115 115 94 1196 0 0 0 0 0

N.S.

1 1.00 0.82 10.40 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.271 0.032 1.280 0.000 0.000 0.000 0.000 0.000

Problem 140

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD

size

159 161 113 146 0 0 0 0 0

N.S.

1 1.01 0.71 0.92 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.520 0.059 0.234 0.000 0.000 0.000 0.000 0.000

Problem 141

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD

size

79 79 85 71 0 0 94 0 0

N.S.

1 1.00 1.08 0.90 0.00 0.00 1.19 0.00 0.00

time (sec)

N/A 0.219 0.038 0.205 0.000 0.000 1.419 0.000 0.000

Problem 142

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

79 79 85 0 0 0 0 0 0

N.S.

1 1.00 1.08 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.219 0.032 0.000 0.000 0.000 0.000 0.000 0.000

Problem 143

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

159 161 113 0 0 0 0 0 0

N.S.

1 1.01 0.71 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.497 0.059 0.000 0.000 0.000 0.000 0.000 0.000

Problem 144

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

36 36 0 0 0 0 0 0 0

N.S.

1 1.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.183 0.000 0.000 0.000 0.000 0.000 0.000 0.000

Problem 145

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

36 36 0 0 0 0 0 0 0

N.S.

1 1.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.182 0.000 0.000 0.000 0.000 0.000 0.000 0.000

Problem 146

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

36 36 0 0 0 0 0 0 0

N.S.

1 1.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.179 0.000 0.000 0.000 0.000 0.000 0.000 0.000

Problem 147

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

36 36 0 0 0 0 0 0 0

N.S.

1 1.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.180 0.000 0.000 0.000 0.000 0.000 0.000 0.000

Problem 148

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

36 36 0 0 0 0 0 0 0

N.S.

1 1.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.185 0.000 0.000 0.000 0.000 0.000 0.000 0.000

Problem 149

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

36 36 0 0 0 0 0 0 0

N.S.

1 1.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.186 0.000 0.000 0.000 0.000 0.000 0.000 0.000

Problem 150

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

38 38 0 0 0 0 0 0 0

N.S.

1 1.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.178 0.000 0.000 0.000 0.000 0.000 0.000 0.000

Problem 151

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

38 38 0 0 0 0 0 0 0

N.S.

1 1.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.179 0.000 0.000 0.000 0.000 0.000 0.000 0.000

Problem 152

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

36 36 0 0 0 0 0 0 0

N.S.

1 1.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.182 0.000 0.000 0.000 0.000 0.000 0.000 0.000

Problem 153

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

40 40 0 0 0 0 0 0 0

N.S.

1 1.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.186 0.000 0.000 0.000 0.000 0.000 0.000 0.000

Problem 154

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

171 177 210 0 0 0 0 0 0

N.S.

1 1.04 1.23 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.299 0.154 0.000 0.000 0.000 0.000 0.000 0.000

Problem 155

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

159 165 116 0 0 0 0 0 0

N.S.

1 1.04 0.73 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.263 0.043 0.000 0.000 0.000 0.000 0.000 0.000

Problem 156

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

107 107 105 0 0 0 0 0 0

N.S.

1 1.00 0.98 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.219 0.023 0.000 0.000 0.000 0.000 0.000 0.000

Problem 157

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

71 71 53 0 0 0 0 0 0

N.S.

1 1.00 0.75 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.184 0.027 0.000 0.000 0.000 0.000 0.000 0.000

Problem 158

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

125 125 106 0 0 0 0 0 0

N.S.

1 1.00 0.85 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.234 0.019 0.000 0.000 0.000 0.000 0.000 0.000

Problem 159

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

79 79 82 0 0 0 0 0 0

N.S.

1 1.00 1.04 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.204 0.013 0.000 0.000 0.000 0.000 0.000 0.000

Problem 160

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

120 120 114 0 0 0 0 0 0

N.S.

1 1.00 0.95 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.229 0.026 0.000 0.000 0.000 0.000 0.000 0.000

Problem 161

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

171 174 119 0 0 0 0 0 0

N.S.

1 1.02 0.70 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.264 0.058 0.000 0.000 0.000 0.000 0.000 0.000

Problem 162

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

276 284 217 197 749 177 1222 205 0

N.S.

1 1.03 0.79 0.71 2.71 0.64 4.43 0.74 0.00

time (sec)

N/A 0.446 0.452 0.806 0.209 0.291 1.857 0.301 0.000

Problem 163

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

201 208 176 150 529 139 857 155 0

N.S.

1 1.03 0.88 0.75 2.63 0.69 4.26 0.77 0.00

time (sec)

N/A 0.346 0.247 0.591 0.206 0.278 1.596 0.284 0.000

Problem 164

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

171 180 135 113 351 106 585 113 0

N.S.

1 1.05 0.79 0.66 2.05 0.62 3.42 0.66 0.00

time (sec)

N/A 0.314 0.113 0.545 0.174 0.259 1.330 0.298 0.000

Problem 165

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

110 121 108 87 209 79 362 75 0

N.S.

1 1.10 0.98 0.79 1.90 0.72 3.29 0.68 0.00

time (sec)

N/A 0.257 0.089 0.414 0.183 0.274 0.916 0.303 0.000

Problem 166

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

52 65 28 69 62 60 36 51 97

N.S.

1 1.25 0.54 1.33 1.19 1.15 0.69 0.98 1.87

time (sec)

N/A 0.211 0.013 0.375 0.176 0.268 0.773 0.303 1.173

Problem 167

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B B F A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

89 111 142 107 233 144 0 112 118

N.S.

1 1.25 1.60 1.20 2.62 1.62 0.00 1.26 1.33

time (sec)

N/A 0.274 0.055 0.304 0.177 0.287 0.000 0.345 1.248

Problem 168

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B B F A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

130 130 120 93 239 224 0 145 218

N.S.

1 1.00 0.92 0.72 1.84 1.72 0.00 1.12 1.68

time (sec)

N/A 0.245 0.061 0.681 0.178 0.271 0.000 0.350 1.850

Problem 169

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

201 198 154 187 424 452 0 471 0

N.S.

1 0.99 0.77 0.93 2.11 2.25 0.00 2.34 0.00

time (sec)

N/A 0.296 0.095 0.435 0.217 0.274 0.000 0.362 0.000

Problem 170

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

283 294 234 281 644 690 0 884 0

N.S.

1 1.04 0.83 0.99 2.28 2.44 0.00 3.12 0.00

time (sec)

N/A 0.364 0.248 0.796 0.208 0.289 0.000 0.343 0.000

Problem 171

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A B B A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

92 92 92 160 149 105 110 123 201

N.S.

1 1.00 1.00 1.74 1.62 1.14 1.20 1.34 2.18

time (sec)

N/A 0.272 0.053 0.319 0.259 0.267 0.252 0.287 0.682

Problem 172

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

72 72 72 109 116 77 75 83 153

N.S.

1 1.00 1.00 1.51 1.61 1.07 1.04 1.15 2.12

time (sec)

N/A 0.246 0.048 0.298 0.256 0.264 0.177 0.279 0.595

Problem 173

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

54 54 54 70 87 53 46 53 107

N.S.

1 1.00 1.00 1.30 1.61 0.98 0.85 0.98 1.98

time (sec)

N/A 0.224 0.026 0.285 0.258 0.253 0.148 0.288 0.570

Problem 174

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

37 37 37 41 64 35 29 35 60

N.S.

1 1.00 1.00 1.11 1.73 0.95 0.78 0.95 1.62

time (sec)

N/A 0.198 0.017 0.280 0.256 0.275 0.116 0.274 0.132

Problem 175

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

20 20 32 21 46 22 14 16 21

N.S.

1 1.00 1.60 1.05 2.30 1.10 0.70 0.80 1.05

time (sec)

N/A 0.175 0.009 0.269 0.258 0.263 0.074 0.282 0.550

Problem 176

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B A B A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

38 38 31 47 78 27 100 33 32

N.S.

1 1.00 0.82 1.24 2.05 0.71 2.63 0.87 0.84

time (sec)

N/A 0.205 0.016 0.285 0.287 0.262 0.398 0.282 0.776

Problem 177

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A B B A B A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

55 55 39 96 126 40 156 61 98

N.S.

1 1.00 0.71 1.75 2.29 0.73 2.84 1.11 1.78

time (sec)

N/A 0.219 0.022 0.319 0.285 0.273 0.310 0.289 0.702

Problem 178

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A B B A B A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

76 76 63 201 188 69 228 89 154

N.S.

1 1.00 0.83 2.64 2.47 0.91 3.00 1.17 2.03

time (sec)

N/A 0.240 0.026 0.336 0.268 0.266 0.442 0.290 0.787

Problem 179

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A B B A B A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

93 93 88 267 263 94 286 126 199

N.S.

1 1.00 0.95 2.87 2.83 1.01 3.08 1.35 2.14

time (sec)

N/A 0.255 0.040 0.352 0.264 0.251 0.558 0.290 0.829

Problem 180

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

324 342 249 436 3081 264 0 334 0

N.S.

1 1.06 0.77 1.35 9.51 0.81 0.00 1.03 0.00

time (sec)

N/A 0.490 0.419 2.174 0.222 0.281 0.000 0.323 0.000

Problem 181

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

249 264 201 342 2295 216 0 285 0

N.S.

1 1.06 0.81 1.37 9.22 0.87 0.00 1.14 0.00

time (sec)

N/A 0.412 0.227 1.382 0.206 0.285 0.000 0.311 0.000

Problem 182

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

227 229 160 259 1608 174 0 243 0

N.S.

1 1.01 0.70 1.14 7.08 0.77 0.00 1.07 0.00

time (sec)

N/A 0.369 0.190 1.214 0.196 0.275 0.000 0.315 0.000

Problem 183

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

163 171 132 186 1108 136 0 209 0

N.S.

1 1.05 0.81 1.14 6.80 0.83 0.00 1.28 0.00

time (sec)

N/A 0.290 0.135 0.822 0.218 0.280 0.000 0.303 0.000

Problem 184

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

94 109 45 120 736 99 0 180 0

N.S.

1 1.16 0.48 1.28 7.83 1.05 0.00 1.91 0.00

time (sec)

N/A 0.235 0.033 0.811 0.213 0.282 0.000 0.310 0.000

Problem 185

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

134 162 196 485 733 356 0 252 0

N.S.

1 1.21 1.46 3.62 5.47 2.66 0.00 1.88 0.00

time (sec)

N/A 0.321 0.556 0.503 0.186 0.278 0.000 0.398 0.000

Problem 186

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

176 185 145 181 992 389 0 0 0

N.S.

1 1.05 0.82 1.03 5.64 2.21 0.00 0.00 0.00

time (sec)

N/A 0.273 0.114 1.577 0.207 0.298 0.000 0.000 0.000

Problem 187

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

264 253 194 269 1536 574 0 0 0

N.S.

1 0.96 0.73 1.02 5.82 2.17 0.00 0.00 0.00

time (sec)

N/A 0.325 0.161 1.182 0.212 0.278 0.000 0.000 0.000

Problem 188

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

338 356 282 379 2313 839 0 0 0

N.S.

1 1.05 0.83 1.12 6.84 2.48 0.00 0.00 0.00

time (sec)

N/A 0.449 0.306 1.343 0.209 0.314 0.000 0.000 0.000

Problem 189

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

276 284 248 197 456 177 0 205 0

N.S.

1 1.03 0.90 0.71 1.65 0.64 0.00 0.74 0.00

time (sec)

N/A 0.439 0.619 0.840 0.285 0.268 0.000 0.319 0.000

Problem 190

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

201 208 202 150 308 139 0 155 0

N.S.

1 1.03 1.00 0.75 1.53 0.69 0.00 0.77 0.00

time (sec)

N/A 0.359 0.417 0.675 0.297 0.282 0.000 0.284 0.000

Problem 191

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

171 180 162 113 161 106 0 113 0

N.S.

1 1.05 0.95 0.66 0.94 0.62 0.00 0.66 0.00

time (sec)

N/A 0.331 0.236 0.597 0.261 0.277 0.000 0.278 0.000

Problem 192

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

110 121 131 87 97 79 0 75 0

N.S.

1 1.10 1.19 0.79 0.88 0.72 0.00 0.68 0.00

time (sec)

N/A 0.259 0.107 0.518 0.261 0.279 0.000 0.292 0.000

Problem 193

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

52 65 28 69 35 60 0 51 0

N.S.

1 1.25 0.54 1.33 0.67 1.15 0.00 0.98 0.00

time (sec)

N/A 0.209 0.014 0.466 0.265 0.275 0.000 0.281 0.000

Problem 194

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

89 111 142 260 0 144 0 112 0

N.S.

1 1.25 1.60 2.92 0.00 1.62 0.00 1.26 0.00

time (sec)

N/A 0.261 0.061 0.456 0.000 0.274 0.000 0.339 0.000

Problem 195

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

130 130 119 93 0 224 0 145 0

N.S.

1 1.00 0.92 0.72 0.00 1.72 0.00 1.12 0.00

time (sec)

N/A 0.251 0.056 0.612 0.000 0.273 0.000 0.334 0.000

Problem 196

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

201 198 154 187 0 452 0 471 0

N.S.

1 0.99 0.77 0.93 0.00 2.25 0.00 2.34 0.00

time (sec)

N/A 0.301 0.097 0.602 0.000 0.288 0.000 0.338 0.000

Problem 197

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

283 294 233 281 0 690 0 884 0

N.S.

1 1.04 0.82 0.99 0.00 2.44 0.00 3.12 0.00

time (sec)

N/A 0.377 0.269 0.978 0.000 0.292 0.000 0.340 0.000

Problem 198

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

99 99 95 125 105 105 114 215 165

N.S.

1 1.00 0.96 1.26 1.06 1.06 1.15 2.17 1.67

time (sec)

N/A 0.281 0.058 0.260 0.175 0.259 0.232 0.288 0.186

Problem 199

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

77 77 77 85 73 77 76 158 129

N.S.

1 1.00 1.00 1.10 0.95 1.00 0.99 2.05 1.68

time (sec)

N/A 0.247 0.046 0.238 0.178 0.256 0.187 0.285 0.608

Problem 200

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

59 59 55 59 53 53 49 109 90

N.S.

1 1.00 0.93 1.00 0.90 0.90 0.83 1.85 1.53

time (sec)

N/A 0.230 0.026 0.222 0.176 0.268 0.151 0.271 0.610

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