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2.2.2 Integrals 101 to 198

Detailed conclusion table per each integral is given by 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 just an F.

In this table,the column N.S. in the table below, which stands for normalized size is defined as \(\frac {\text {antiderivative leaf size}}{\text {optimal antiderivative leaf size}}\). To help make the table fit, Mathematica was abbreviated to MMA.

Problem 101

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A F F F F F F B

verified

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

size

9 9 0 0 0 0 0 0 7

N.S.

1 1.00 0.00 0.00 0.00 0.00 0.00 0.00 0.78

time (sec)

N/A 0.005 0.006 0.020 0.000 0.000 0.000 0.000 0.370

Problem 102

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A C F F F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

78 78 53 144 0 0 0 0 -1

N.S.

1 1.00 0.68 1.85 0.00 0.00 0.00 0.00 -0.01

time (sec)

N/A 0.035 0.032 0.115 0.000 0.000 0.000 0.000 0.000

Problem 103

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A C C F F F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

102 102 88 173 0 0 0 0 -1

N.S.

1 1.00 0.86 1.70 0.00 0.00 0.00 0.00 -0.01

time (sec)

N/A 0.046 0.043 0.221 0.000 0.000 0.000 0.000 0.000

Problem 104

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A C C F F F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

121 121 119 198 0 0 0 0 -1

N.S.

1 1.00 0.98 1.64 0.00 0.00 0.00 0.00 -0.01

time (sec)

N/A 0.061 0.055 0.449 0.000 0.000 0.000 0.000 0.000

Problem 105

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A C F F F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

94 94 72 177 0 0 0 0 -1

N.S.

1 1.00 0.77 1.88 0.00 0.00 0.00 0.00 -0.01

time (sec)

N/A 0.040 0.037 0.125 0.000 0.000 0.000 0.000 0.000

Problem 106

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A C C F F F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

118 118 126 218 0 0 0 0 -1

N.S.

1 1.00 1.07 1.85 0.00 0.00 0.00 0.00 -0.01

time (sec)

N/A 0.050 0.058 0.226 0.000 0.000 0.000 0.000 0.000

Problem 107

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A C C F F F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

142 142 166 259 0 0 0 0 -1

N.S.

1 1.00 1.17 1.82 0.00 0.00 0.00 0.00 -0.01

time (sec)

N/A 0.067 0.074 0.479 0.000 0.000 0.000 0.000 0.000

Problem 108

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A C F F F(-1) F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

94 94 72 177 0 0 0 0 -1

N.S.

1 1.00 0.77 1.88 0.00 0.00 0.00 0.00 -0.01

time (sec)

N/A 0.041 0.038 0.165 0.000 0.000 0.000 0.000 0.000

Problem 109

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A C C F F F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

118 118 126 218 0 0 0 0 -1

N.S.

1 1.00 1.07 1.85 0.00 0.00 0.00 0.00 -0.01

time (sec)

N/A 0.051 0.057 0.240 0.000 0.000 0.000 0.000 0.000

Problem 110

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A C C F F F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

142 142 166 259 0 0 0 0 -1

N.S.

1 1.00 1.17 1.82 0.00 0.00 0.00 0.00 -0.01

time (sec)

N/A 0.068 0.066 0.492 0.000 0.000 0.000 0.000 0.000

Problem 111

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A C F F F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

101 101 80 148 0 0 0 0 -1

N.S.

1 1.00 0.79 1.47 0.00 0.00 0.00 0.00 -0.01

time (sec)

N/A 0.042 0.046 0.127 0.000 0.000 0.000 0.000 0.000

Problem 112

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A C C F F F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

130 130 50 180 0 0 0 0 -1

N.S.

1 1.00 0.38 1.38 0.00 0.00 0.00 0.00 -0.01

time (sec)

N/A 0.056 0.017 0.276 0.000 0.000 0.000 0.000 0.000

Problem 113

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A C C F F F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

154 154 52 217 0 0 0 0 -1

N.S.

1 1.00 0.34 1.41 0.00 0.00 0.00 0.00 -0.01

time (sec)

N/A 0.073 0.017 0.994 0.000 0.000 0.000 0.000 0.000

Problem 114

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A A

verified

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

size

10 0 0 0 0 0 0 0 -1

N.S.

1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.10

time (sec)

N/A 0.004 0.020 0.027 0.000 0.000 0.000 0.000 0.000

Problem 115

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A A

verified

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

size

8 0 0 0 0 0 0 0 -1

N.S.

1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.12

time (sec)

N/A 0.002 0.002 0.028 0.000 0.000 0.000 0.000 0.000

Problem 116

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F F A F B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

7 7 7 8 0 0 5 0 7

N.S.

1 1.00 1.00 1.14 0.00 0.00 0.71 0.00 1.00

time (sec)

N/A 0.006 0.002 0.057 0.000 0.000 0.204 0.000 0.539

Problem 117

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A A

verified

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

size

12 0 0 0 0 0 0 0 -1

N.S.

1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.08

time (sec)

N/A 0.006 0.017 0.026 0.000 0.000 0.000 0.000 0.000

Problem 118

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A A

verified

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

size

12 0 0 0 0 0 0 0 -1

N.S.

1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.08

time (sec)

N/A 0.006 0.016 0.026 0.000 0.000 0.000 0.000 0.000

Problem 119

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A A

verified

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

size

12 0 0 0 0 0 0 0 -1

N.S.

1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.08

time (sec)

N/A 0.004 0.019 0.028 0.000 0.000 0.000 0.000 0.000

Problem 120

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A A

verified

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

size

10 0 0 0 0 0 0 0 -1

N.S.

1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.10

time (sec)

N/A 0.002 0.005 0.027 0.000 0.000 0.000 0.000 0.000

Problem 121

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F F F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

13 13 13 14 0 0 0 0 -1

N.S.

1 1.00 1.00 1.08 0.00 0.00 0.00 0.00 -0.08

time (sec)

N/A 0.007 0.003 0.220 0.000 0.000 0.000 0.000 0.000

Problem 122

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A A

verified

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

size

14 0 0 0 0 0 0 0 -1

N.S.

1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.07

time (sec)

N/A 0.006 0.017 0.029 0.000 0.000 0.000 0.000 0.000

Problem 123

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A A

verified

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

size

14 0 0 0 0 0 0 0 -1

N.S.

1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.07

time (sec)

N/A 0.006 0.016 0.026 0.000 0.000 0.000 0.000 0.000

Problem 124

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

260 260 144 361 200 165 235 0 -1

N.S.

1 1.00 0.55 1.39 0.77 0.63 0.90 0.00 -0.00

time (sec)

N/A 0.217 0.140 0.582 0.265 0.350 6.862 0.000 0.000

Problem 125

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

152 152 96 166 145 110 153 0 -1

N.S.

1 1.00 0.63 1.09 0.95 0.72 1.01 0.00 -0.01

time (sec)

N/A 0.120 0.072 0.574 0.265 0.353 2.472 0.000 0.000

Problem 126

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A F B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

60 60 53 63 90 55 75 0 61

N.S.

1 1.00 0.88 1.05 1.50 0.92 1.25 0.00 1.02

time (sec)

N/A 0.033 0.013 0.425 0.257 0.351 0.929 0.000 0.593

Problem 127

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A F F F F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

401 401 422 0 0 0 0 0 -1

N.S.

1 1.00 1.05 0.00 0.00 0.00 0.00 0.00 -0.00

time (sec)

N/A 0.244 0.093 0.468 0.000 0.000 0.000 0.000 0.000

Problem 128

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A F F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

84 84 73 94 114 0 0 0 -1

N.S.

1 1.00 0.87 1.12 1.36 0.00 0.00 0.00 -0.01

time (sec)

N/A 0.087 0.038 1.306 0.281 0.000 0.000 0.000 0.000

Problem 129

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A F F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

173 173 131 163 193 0 0 0 -1

N.S.

1 1.00 0.76 0.94 1.12 0.00 0.00 0.00 -0.01

time (sec)

N/A 0.126 0.113 1.349 0.266 0.000 0.000 0.000 0.000

Problem 130

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A F F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

276 276 210 272 302 0 0 0 -1

N.S.

1 1.00 0.76 0.99 1.09 0.00 0.00 0.00 -0.00

time (sec)

N/A 0.197 0.208 1.338 0.282 0.000 0.000 0.000 0.000

Problem 131

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A F A A F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

347 347 296 0 264 219 0 0 -1

N.S.

1 1.00 0.85 0.00 0.76 0.63 0.00 0.00 -0.00

time (sec)

N/A 0.452 0.043 0.003 0.271 0.410 0.000 0.000 0.000

Problem 132

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A F A A F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

198 198 198 0 193 149 0 0 -1

N.S.

1 1.00 1.00 0.00 0.97 0.75 0.00 0.00 -0.01

time (sec)

N/A 0.195 0.030 0.004 0.269 0.387 0.000 0.000 0.000

Problem 133

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A F A A F F B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

84 84 66 0 120 73 0 0 77

N.S.

1 1.00 0.79 0.00 1.43 0.87 0.00 0.00 0.92

time (sec)

N/A 0.047 0.017 0.003 0.259 0.382 0.000 0.000 2.181

Problem 134

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A A

verified

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

size

17 0 0 0 0 0 0 0 -1

N.S.

1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.06

time (sec)

N/A 0.025 0.025 0.004 0.000 0.000 0.000 0.000 0.000

Problem 135

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A F F F F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

486 486 477 0 0 0 0 0 -1

N.S.

1 1.00 0.98 0.00 0.00 0.00 0.00 0.00 -0.00

time (sec)

N/A 0.377 0.521 0.004 0.000 0.000 0.000 0.000 0.000

Problem 136

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A F F F F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

629 629 573 0 0 0 0 0 -1

N.S.

1 1.00 0.91 0.00 0.00 0.00 0.00 0.00 -0.00

time (sec)

N/A 0.468 1.330 0.003 0.000 0.000 0.000 0.000 0.000

Problem 137

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A B A A A F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

605 605 485 1146 696 625 1030 0 -1

N.S.

1 1.00 0.80 1.89 1.15 1.03 1.70 0.00 -0.00

time (sec)

N/A 0.415 0.384 0.797 0.278 0.363 20.818 0.000 0.000

Problem 138

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

385 385 274 685 416 361 561 0 -1

N.S.

1 1.00 0.71 1.78 1.08 0.94 1.46 0.00 -0.00

time (sec)

N/A 0.241 0.116 0.800 0.272 0.352 10.209 0.000 0.000

Problem 139

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

210 210 161 249 219 174 252 0 -1

N.S.

1 1.00 0.77 1.19 1.04 0.83 1.20 0.00 -0.00

time (sec)

N/A 0.135 0.064 0.655 0.277 0.417 3.335 0.000 0.000

Problem 140

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A F B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

60 60 53 63 90 55 75 0 61

N.S.

1 1.00 0.88 1.05 1.50 0.92 1.25 0.00 1.02

time (sec)

N/A 0.033 0.012 0.438 0.261 0.356 0.938 0.000 0.002

Problem 141

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A F F F F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

591 591 622 0 0 0 0 0 -1

N.S.

1 1.00 1.05 0.00 0.00 0.00 0.00 0.00 -0.00

time (sec)

N/A 0.347 0.173 0.823 0.000 0.000 0.000 0.000 0.000

Problem 142

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A F F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

138 138 108 213 172 0 0 0 -1

N.S.

1 1.00 0.78 1.54 1.25 0.00 0.00 0.00 -0.01

time (sec)

N/A 0.131 0.097 2.107 0.272 0.000 0.000 0.000 0.000

Problem 143

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

278 278 190 346 482 0 0 0 -1

N.S.

1 1.00 0.68 1.24 1.73 0.00 0.00 0.00 -0.00

time (sec)

N/A 0.187 0.236 2.116 0.273 0.000 0.000 0.000 0.000

Problem 144

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

448 448 313 648 1519 0 0 0 -1

N.S.

1 1.00 0.70 1.45 3.39 0.00 0.00 0.00 -0.00

time (sec)

N/A 0.307 0.386 2.138 0.331 0.000 0.000 0.000 0.000

Problem 145

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F F B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

46 46 46 66 44 39 0 0 46

N.S.

1 1.00 1.00 1.43 0.96 0.85 0.00 0.00 1.00

time (sec)

N/A 0.046 0.033 0.829 0.253 0.361 0.000 0.000 0.044

Problem 146

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F F B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

46 46 46 66 44 39 0 0 46

N.S.

1 1.00 1.00 1.43 0.96 0.85 0.00 0.00 1.00

time (sec)

N/A 0.043 0.007 0.532 0.253 0.370 0.000 0.000 0.002

Problem 147

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A F F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

51 51 51 82 49 0 0 0 -1

N.S.

1 1.00 1.00 1.61 0.96 0.00 0.00 0.00 -0.02

time (sec)

N/A 0.091 0.031 0.728 0.268 0.000 0.000 0.000 0.000

Problem 148

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A F F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

51 51 51 82 49 0 0 0 -1

N.S.

1 1.00 1.00 1.61 0.96 0.00 0.00 0.00 -0.02

time (sec)

N/A 0.094 0.008 0.720 0.263 0.000 0.000 0.000 0.000

Problem 149

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A F F F F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

35 35 34 0 0 0 0 0 -1

N.S.

1 1.00 0.97 0.00 0.00 0.00 0.00 0.00 -0.03

time (sec)

N/A 0.045 0.015 0.326 0.000 0.000 0.000 0.000 0.000

Problem 150

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A F F A F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

33 33 32 0 0 34 0 0 -1

N.S.

1 1.00 0.97 0.00 0.00 1.03 0.00 0.00 -0.03

time (sec)

N/A 0.039 0.006 0.325 0.000 0.416 0.000 0.000 0.000

Problem 151

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

33 33 32 0 0 34 0 0 -1

N.S.

1 1.00 0.97 0.00 0.00 1.03 0.00 0.00 -0.03

time (sec)

N/A 0.039 0.006 0.367 0.000 0.373 0.000 0.000 0.000

Problem 152

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

33 33 40 0 0 33 0 0 -1

N.S.

1 1.00 1.21 0.00 0.00 1.00 0.00 0.00 -0.03

time (sec)

N/A 0.038 1.218 0.322 0.000 0.367 0.000 0.000 0.000

Problem 153

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

36 36 38 37 61 36 0 0 33

N.S.

1 1.00 1.06 1.03 1.69 1.00 0.00 0.00 0.92

time (sec)

N/A 0.209 0.390 0.447 0.291 0.357 0.000 0.000 0.269

Problem 154

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

36 36 35 36 56 43 0 0 35

N.S.

1 1.00 0.97 1.00 1.56 1.19 0.00 0.00 0.97

time (sec)

N/A 0.242 0.357 0.428 0.275 0.384 0.000 0.000 0.195

Problem 155

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

52 52 52 53 207 88 0 0 81

N.S.

1 1.00 1.00 1.02 3.98 1.69 0.00 0.00 1.56

time (sec)

N/A 1.441 0.500 0.511 0.298 0.374 0.000 0.000 0.252

Problem 156

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A F F F F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

135 135 135 0 0 0 0 0 -1

N.S.

1 1.00 1.00 0.00 0.00 0.00 0.00 0.00 -0.01

time (sec)

N/A 0.063 0.010 0.078 0.000 0.000 0.000 0.000 0.000

Problem 157

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A F F F F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

100 100 100 0 0 0 0 0 -1

N.S.

1 1.00 1.00 0.00 0.00 0.00 0.00 0.00 -0.01

time (sec)

N/A 0.040 0.006 0.031 0.000 0.000 0.000 0.000 0.000

Problem 158

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A F F F F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

65 65 65 0 0 0 0 0 -1

N.S.

1 1.00 1.00 0.00 0.00 0.00 0.00 0.00 -0.02

time (sec)

N/A 0.023 0.005 0.029 0.000 0.000 0.000 0.000 0.000

Problem 159

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F F F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

31 31 31 32 0 0 0 0 -1

N.S.

1 1.00 1.00 1.03 0.00 0.00 0.00 0.00 -0.03

time (sec)

N/A 0.012 0.004 0.560 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 A A A A A A

verified

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

size

23 0 0 0 0 0 0 0 -1

N.S.

1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.04

time (sec)

N/A 0.047 0.027 0.030 0.000 0.000 0.000 0.000 0.000

Problem 161

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A F A F F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

300 300 223 0 376 0 0 0 -1

N.S.

1 1.00 0.74 0.00 1.25 0.00 0.00 0.00 -0.00

time (sec)

N/A 0.365 0.419 0.033 0.288 0.000 0.000 0.000 0.000

Problem 162

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A F A F F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

258 258 192 0 296 0 0 0 -1

N.S.

1 1.00 0.74 0.00 1.15 0.00 0.00 0.00 -0.00

time (sec)

N/A 0.289 0.252 0.031 0.282 0.000 0.000 0.000 0.000

Problem 163

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A F A F F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

262 262 160 0 222 0 0 0 -1

N.S.

1 1.00 0.61 0.00 0.85 0.00 0.00 0.00 -0.00

time (sec)

N/A 0.185 0.209 0.045 0.281 0.000 0.000 0.000 0.000

Problem 164

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A F A F F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

132 132 119 0 141 0 0 0 -1

N.S.

1 1.00 0.90 0.00 1.07 0.00 0.00 0.00 -0.01

time (sec)

N/A 0.142 0.018 0.032 0.295 0.000 0.000 0.000 0.000

Problem 165

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F F B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

11 11 11 10 8 8 0 0 9

N.S.

1 1.00 1.00 0.91 0.73 0.73 0.00 0.00 0.82

time (sec)

N/A 0.019 0.008 0.064 0.252 0.356 0.000 0.000 0.240

Problem 166

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A F A F F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

111 111 115 0 113 0 0 0 -1

N.S.

1 1.00 1.04 0.00 1.02 0.00 0.00 0.00 -0.01

time (sec)

N/A 0.112 0.096 0.042 0.306 0.000 0.000 0.000 0.000

Problem 167

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A F A F F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

191 191 185 0 162 0 0 0 -1

N.S.

1 1.00 0.97 0.00 0.85 0.00 0.00 0.00 -0.01

time (sec)

N/A 0.193 0.193 0.032 0.511 0.000 0.000 0.000 0.000

Problem 168

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A F A F F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

245 245 246 0 188 0 0 0 -1

N.S.

1 1.00 1.00 0.00 0.77 0.00 0.00 0.00 -0.00

time (sec)

N/A 0.253 0.174 0.033 0.507 0.000 0.000 0.000 0.000

Problem 169

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A F A F F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

287 287 277 0 214 0 0 0 -1

N.S.

1 1.00 0.97 0.00 0.75 0.00 0.00 0.00 -0.00

time (sec)

N/A 0.313 0.163 0.040 0.504 0.000 0.000 0.000 0.000

Problem 170

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A F F F F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

423 423 252 0 0 0 0 0 -1

N.S.

1 1.00 0.60 0.00 0.00 0.00 0.00 0.00 -0.00

time (sec)

N/A 0.306 0.335 0.166 0.000 0.000 0.000 0.000 0.000

Problem 171

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A F F F F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

330 330 211 0 0 0 0 0 -1

N.S.

1 1.00 0.64 0.00 0.00 0.00 0.00 0.00 -0.00

time (sec)

N/A 0.243 0.242 0.172 0.000 0.000 0.000 0.000 0.000

Problem 172

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A F F F F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

167 167 149 0 0 0 0 0 -1

N.S.

1 1.00 0.89 0.00 0.00 0.00 0.00 0.00 -0.01

time (sec)

N/A 0.151 0.054 0.166 0.000 0.000 0.000 0.000 0.000

Problem 173

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F F F F B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

20 20 20 19 0 0 0 0 18

N.S.

1 1.00 1.00 0.95 0.00 0.00 0.00 0.00 0.90

time (sec)

N/A 0.041 0.013 0.149 0.000 0.000 0.000 0.000 0.248

Problem 174

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A F F F F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

156 156 150 0 0 0 0 0 -1

N.S.

1 1.00 0.96 0.00 0.00 0.00 0.00 0.00 -0.01

time (sec)

N/A 0.181 0.123 0.203 0.000 0.000 0.000 0.000 0.000

Problem 175

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A F F F F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

266 266 238 0 0 0 0 0 -1

N.S.

1 1.00 0.89 0.00 0.00 0.00 0.00 0.00 -0.00

time (sec)

N/A 0.258 0.177 0.236 0.000 0.000 0.000 0.000 0.000

Problem 176

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A F F F F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

340 340 301 0 0 0 0 0 -1

N.S.

1 1.00 0.89 0.00 0.00 0.00 0.00 0.00 -0.00

time (sec)

N/A 0.351 0.190 0.237 0.000 0.000 0.000 0.000 0.000

Problem 177

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

2995 2995 2610 0 0 0 0 0 -1

N.S.

1 1.00 0.87 0.00 0.00 0.00 0.00 0.00 -0.00

time (sec)

N/A 3.104 9.808 0.105 0.000 0.000 0.000 0.000 0.000

Problem 178

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

2252 2252 1996 0 0 0 0 0 -1

N.S.

1 1.00 0.89 0.00 0.00 0.00 0.00 0.00 -0.00

time (sec)

N/A 2.038 6.625 0.108 0.000 0.000 0.000 0.000 0.000

Problem 179

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

1653 1653 1546 0 0 0 0 0 -1

N.S.

1 1.00 0.94 0.00 0.00 0.00 0.00 0.00 -0.00

time (sec)

N/A 2.141 3.130 0.098 0.000 0.000 0.000 0.000 0.000

Problem 180

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A A

verified

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

size

30 0 0 0 0 0 0 0 -1

N.S.

1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03

time (sec)

N/A 0.016 1.766 0.102 0.000 0.000 0.000 0.000 0.000

Problem 181

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

2498 2498 2247 0 0 0 0 0 -1

N.S.

1 1.00 0.90 0.00 0.00 0.00 0.00 0.00 -0.00

time (sec)

N/A 1.775 7.163 0.110 0.000 0.000 0.000 0.000 0.000

Problem 182

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

3119 3119 2673 0 0 0 0 0 -1

N.S.

1 1.00 0.86 0.00 0.00 0.00 0.00 0.00 -0.00

time (sec)

N/A 2.227 13.832 0.128 0.000 0.000 0.000 0.000 0.000

Problem 183

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

3733 3733 3331 0 0 0 0 0 -1

N.S.

1 1.00 0.89 0.00 0.00 0.00 0.00 0.00 -0.00

time (sec)

N/A 2.866 18.154 0.115 0.000 0.000 0.000 0.000 0.000

Problem 184

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

661 661 425 0 415 0 0 0 -1

N.S.

1 1.00 0.64 0.00 0.63 0.00 0.00 0.00 -0.00

time (sec)

N/A 0.645 0.527 0.008 0.268 0.000 0.000 0.000 0.000

Problem 185

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A F A F F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

546 546 362 0 345 0 0 0 -1

N.S.

1 1.00 0.66 0.00 0.63 0.00 0.00 0.00 -0.00

time (sec)

N/A 0.464 0.414 0.006 0.280 0.000 0.000 0.000 0.000

Problem 186

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A F A F F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

390 390 285 0 258 0 0 0 -1

N.S.

1 1.00 0.73 0.00 0.66 0.00 0.00 0.00 -0.00

time (sec)

N/A 0.289 0.340 0.004 0.271 0.000 0.000 0.000 0.000

Problem 187

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A F F F F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

153 153 137 0 0 0 0 0 -1

N.S.

1 1.00 0.90 0.00 0.00 0.00 0.00 0.00 -0.01

time (sec)

N/A 0.220 0.146 0.007 0.000 0.000 0.000 0.000 0.000

Problem 188

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A F F F F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

131 131 135 0 0 0 0 0 -1

N.S.

1 1.00 1.03 0.00 0.00 0.00 0.00 0.00 -0.01

time (sec)

N/A 0.203 0.503 0.007 0.000 0.000 0.000 0.000 0.000

Problem 189

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A F A F F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

331 331 285 0 213 0 0 0 -1

N.S.

1 1.00 0.86 0.00 0.64 0.00 0.00 0.00 -0.00

time (sec)

N/A 0.347 0.817 0.010 0.310 0.000 0.000 0.000 0.000

Problem 190

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

460 460 389 0 287 0 0 0 -1

N.S.

1 1.00 0.85 0.00 0.62 0.00 0.00 0.00 -0.00

time (sec)

N/A 0.443 0.997 0.006 0.317 0.000 0.000 0.000 0.000

Problem 191

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

584 584 505 0 341 0 0 0 -1

N.S.

1 1.00 0.86 0.00 0.58 0.00 0.00 0.00 -0.00

time (sec)

N/A 0.553 1.062 0.007 0.310 0.000 0.000 0.000 0.000

Problem 192

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

900 900 583 0 518 0 0 0 -1

N.S.

1 1.00 0.65 0.00 0.58 0.00 0.00 0.00 -0.00

time (sec)

N/A 0.754 0.854 0.037 0.272 0.000 0.000 0.000 0.000

Problem 193

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A F A F F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

645 645 472 0 412 0 0 0 -1

N.S.

1 1.00 0.73 0.00 0.64 0.00 0.00 0.00 -0.00

time (sec)

N/A 0.539 0.682 0.045 0.268 0.000 0.000 0.000 0.000

Problem 194

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A F F F F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

402 402 298 0 0 0 0 0 -1

N.S.

1 1.00 0.74 0.00 0.00 0.00 0.00 0.00 -0.00

time (sec)

N/A 0.390 0.236 0.037 0.000 0.000 0.000 0.000 0.000

Problem 195

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A F F F F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

218 218 280 0 0 0 0 0 -1

N.S.

1 1.00 1.28 0.00 0.00 0.00 0.00 0.00 -0.00

time (sec)

N/A 0.334 0.565 0.036 0.000 0.000 0.000 0.000 0.000

Problem 196

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A F F F F F F F

verified

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

size

343 343 0 0 0 0 0 0 -1

N.S.

1 1.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.00

time (sec)

N/A 0.477 1.206 0.033 0.000 0.000 0.000 0.000 0.000

Problem 197

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

515 515 488 0 319 0 0 0 -1

N.S.

1 1.00 0.95 0.00 0.62 0.00 0.00 0.00 -0.00

time (sec)

N/A 0.529 1.214 0.036 0.316 0.000 0.000 0.000 0.000

Problem 198

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

767 767 621 0 403 0 0 0 -1

N.S.

1 1.00 0.81 0.00 0.53 0.00 0.00 0.00 -0.00

time (sec)

N/A 0.727 1.349 0.035 0.315 0.000 0.000 0.000 0.000

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