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Integrals 201 to 218

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 201

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

218 218 163 322 0 169 0 0 0

N.S.

1 1.00 0.75 1.48 0.00 0.78 0.00 0.00 0.00

time (sec)

N/A 0.177 0.125 4.194 0.000 0.273 0.000 0.000 0.000

Problem 202

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

185 185 185 0 0 141 264 0 0

N.S.

1 1.00 1.00 0.00 0.00 0.76 1.43 0.00 0.00

time (sec)

N/A 0.200 0.008 0.000 0.000 0.266 4.301 0.000 0.000

Problem 203

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

167 167 126 212 0 139 0 0 0

N.S.

1 1.00 0.75 1.27 0.00 0.83 0.00 0.00 0.00

time (sec)

N/A 0.118 0.111 1.525 0.000 0.264 0.000 0.000 0.000

Problem 204

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

196 196 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 0.123 0.000 0.000 0.000 0.000 0.000 0.000 0.000

Problem 205

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

109 109 90 120 0 97 0 0 0

N.S.

1 1.00 0.83 1.10 0.00 0.89 0.00 0.00 0.00

time (sec)

N/A 0.064 0.064 0.724 0.000 0.262 0.000 0.000 0.000

Problem 206

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

74 74 74 0 0 67 114 0 0

N.S.

1 1.00 1.00 0.00 0.00 0.91 1.54 0.00 0.00

time (sec)

N/A 0.042 0.006 0.000 0.000 0.270 0.458 0.000 0.000

Problem 207

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

60 60 48 52 0 52 0 0 0

N.S.

1 1.00 0.80 0.87 0.00 0.87 0.00 0.00 0.00

time (sec)

N/A 0.021 0.021 0.647 0.000 0.269 0.000 0.000 0.000

Problem 208

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

80 80 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 0.011 0.000 0.000 0.000 0.000 0.000 0.000 0.000

Problem 209

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A N/A N/A N/A N/A N/A N/A N/A N/A

verified

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

size

20 20 22 18 20 20 19 20 20

N.S.

1 1.00 1.10 0.90 1.00 1.00 0.95 1.00 1.00

time (sec)

N/A 0.012 0.023 0.121 0.309 0.268 1.178 0.274 4.715

Problem 210

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

48 48 48 0 0 45 0 0 0

N.S.

1 1.00 1.00 0.00 0.00 0.94 0.00 0.00 0.00

time (sec)

N/A 0.030 0.007 0.000 0.000 0.259 0.000 0.000 0.000

Problem 211

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A N/A N/A N/A N/A N/A N/A N/A N/A

verified

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

size

20 20 22 18 20 20 20 20 20

N.S.

1 1.00 1.10 0.90 1.00 1.00 1.00 1.00 1.00

time (sec)

N/A 0.037 0.028 0.128 0.277 0.264 1.277 0.275 4.821

Problem 212

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A N/A N/A N/A N/A N/A N/A N/A N/A

verified

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

size

20 20 22 18 20 20 20 20 20

N.S.

1 1.00 1.10 0.90 1.00 1.00 1.00 1.00 1.00

time (sec)

N/A 0.058 0.024 0.119 0.267 0.252 1.801 0.272 4.814

Problem 213

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A N/A N/A N/A N/A N/A N/A N/A N/A

verified

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

size

20 20 22 18 20 20 20 20 20

N.S.

1 1.00 1.10 0.90 1.00 1.00 1.00 1.00 1.00

time (sec)

N/A 0.080 0.026 0.126 0.276 0.264 3.027 0.286 4.805

Problem 214

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

163 163 163 0 0 141 0 0 0

N.S.

1 1.00 1.00 0.00 0.00 0.87 0.00 0.00 0.00

time (sec)

N/A 0.149 0.009 0.000 0.000 0.270 0.000 0.000 0.000

Problem 215

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A N/A N/A N/A N/A N/A N/A N/A N/A

verified

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

size

20 20 22 18 20 20 20 20 20

N.S.

1 1.00 1.10 0.90 1.00 1.00 1.00 1.00 1.00

time (sec)

N/A 0.134 0.024 0.138 0.274 0.248 11.018 0.297 4.775

Problem 216

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A N/A N/A N/A N/A N/A N/A N/A N/A

verified

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

size

20 20 22 18 20 20 20 20 20

N.S.

1 1.00 1.10 0.90 1.00 1.00 1.00 1.00 1.00

time (sec)

N/A 0.219 0.026 0.135 0.262 0.262 20.384 0.292 4.781

Problem 217

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A N/A N/A N/A N/A N/A N/A N/A N/A

verified

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

size

20 20 22 18 20 20 20 20 20

N.S.

1 1.00 1.10 0.90 1.00 1.00 1.00 1.00 1.00

time (sec)

N/A 0.218 0.024 0.130 0.271 0.250 36.669 0.285 4.769

Problem 218

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

278 278 278 0 0 203 0 0 0

N.S.

1 1.00 1.00 0.00 0.00 0.73 0.00 0.00 0.00

time (sec)

N/A 0.354 0.010 0.000 0.000 0.272 0.000 0.000 0.000

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