2 detailed summary tables of results

 2.1 Detailed conclusion table per each integral for all CAS systems
 2.2 Detailed conclusion table specific for Rubi results

2.1 Detailed conclusion table per each integral for all CAS systems

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 normalized size is defined as \(\frac{\text{antiderivative leaf size}}{\text{optimal antiderivative leaf size}}\)











Problem 1 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C A F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 145 145 148 139 0 0 0 0 456
normalized size 1 1. 1.02 0.96 0. 0. 0. 0. 3.14
time (sec) N/A 0.266 0.183 0.115 0. 0. 0. 0. 142.587




















Problem 2 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C A F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 160 160 148 143 0 0 0 0 456
normalized size 1 1. 0.92 0.89 0. 0. 0. 0. 2.85
time (sec) N/A 0.306 0.154 0.168 0. 0. 0. 0. 144.191




















Problem 3 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C A F F(-2) F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 163 163 146 143 0 0 0 0 427
normalized size 1 1. 0.9 0.88 0. 0. 0. 0. 2.62
time (sec) N/A 0.283 0.184 0.076 0. 0. 0. 0. 148.569




















Problem 4 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C A F F(-2) F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 156 156 150 139 0 0 0 0 437
normalized size 1 1. 0.96 0.89 0. 0. 0. 0. 2.8
time (sec) N/A 0.298 0.16 0.106 0. 0. 0. 0. 144.555




















Problem 5 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C F F F(-1) F F(-2) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 280 280 164 0 0 0 0 0 0
normalized size 1 1. 0.59 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.558 0.295 0.12 0. 0. 0. 0. 0.




















Problem 6 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C F F F(-1) F F(-2) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 288 288 166 0 0 0 0 0 0
normalized size 1 1. 0.58 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.558 0.31 0.094 0. 0. 0. 0. 0.




















Problem 7 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C F F F(-1) F F(-2) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 297 297 167 0 0 0 0 0 0
normalized size 1 1. 0.56 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.591 0.293 0.083 0. 0. 0. 0. 0.




















Problem 8 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C F F F(-1) F F(-2) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 293 293 167 0 0 0 0 0 0
normalized size 1 1. 0.57 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.563 0.268 0.076 0. 0. 0. 0. 0.




















Problem 9 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F F F F F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 249 249 169 495 0 0 0 0 0
normalized size 1 1. 0.68 1.99 0. 0. 0. 0. 0.
time (sec) N/A 0.47 0.333 0.259 0. 0. 0. 0. 0.




















Problem 10 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C A F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 146 146 136 132 0 0 0 0 78
normalized size 1 1. 0.93 0.9 0. 0. 0. 0. 0.53
time (sec) N/A 0.366 0.199 0.066 0. 0. 0. 0. 9.538




















Problem 11 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C A F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 164 164 136 143 0 0 0 0 78
normalized size 1 1. 0.83 0.87 0. 0. 0. 0. 0.48
time (sec) N/A 0.349 0.161 0.092 0. 0. 0. 0. 13.137




















Problem 12 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C A F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 167 167 134 132 0 0 0 0 226
normalized size 1 1. 0.8 0.79 0. 0. 0. 0. 1.35
time (sec) N/A 0.32 0.189 0.052 0. 0. 0. 0. 42.33




















Problem 13 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C A F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 157 157 138 139 0 0 0 0 231
normalized size 1 1. 0.88 0.89 0. 0. 0. 0. 1.47
time (sec) N/A 0.31 0.162 0.098 0. 0. 0. 0. 38.637




















Problem 14 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C A F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 331 331 128 123 0 0 0 0 369
normalized size 1 1. 0.39 0.37 0. 0. 0. 0. 1.11
time (sec) N/A 1.363 0.084 0.028 0. 0. 0. 0. 94.092




















Problem 15 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C A F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 382 382 128 133 0 0 0 0 376
normalized size 1 1. 0.34 0.35 0. 0. 0. 0. 0.98
time (sec) N/A 1.505 0.094 0.072 0. 0. 0. 0. 93.387




















Problem 16 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C A F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 376 376 126 124 0 0 0 0 374
normalized size 1 1. 0.34 0.33 0. 0. 0. 0. 0.99
time (sec) N/A 1.216 0.083 0.028 0. 0. 0. 0. 92.365




















Problem 17 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C A F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 342 342 130 133 0 0 0 0 376
normalized size 1 1. 0.38 0.39 0. 0. 0. 0. 1.1
time (sec) N/A 1.35 0.094 0.055 0. 0. 0. 0. 93.963




















Problem 18 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F(-1) F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 139 139 0 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.145 0.086 0.085 0. 0. 0. 0. 0.




















Problem 19 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F(-1) F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 186 186 0 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.355 0.078 0.058 0. 0. 0. 0. 0.




















Problem 20 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C C F A F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 37 37 326 258 0 73 0 0 479
normalized size 1 1. 8.81 6.97 0. 1.97 0. 0. 12.95
time (sec) N/A 0.148 0.528 0.052 0. 0.375 0. 0. 145.975




















Problem 21 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C C F A F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 40 40 327 253 0 78 0 0 479
normalized size 1 1. 8.18 6.32 0. 1.95 0. 0. 11.98
time (sec) N/A 0.173 0.496 0.057 0. 0.365 0. 0. 147.99




















Problem 22 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C C F A F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 38 38 325 262 0 173 0 0 452
normalized size 1 1. 8.55 6.89 0. 4.55 0. 0. 11.89
time (sec) N/A 0.153 0.524 0.041 0. 0.359 0. 0. 156.949




















Problem 23 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C C F A F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 39 39 328 249 0 173 0 0 462
normalized size 1 1. 8.41 6.38 0. 4.44 0. 0. 11.85
time (sec) N/A 0.159 0.482 0.049 0. 0.362 0. 0. 153.832




















Problem 24 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C F F F(-1) F F(-2) F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 63 63 325 0 0 0 0 0 0
normalized size 1 1. 5.16 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.271 1.926 0.279 0. 0. 0. 0. 0.




















Problem 25 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C F F F(-1) F F(-2) F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 65 65 336 0 0 0 0 0 0
normalized size 1 1. 5.17 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.292 2.062 0.27 0. 0. 0. 0. 0.




















Problem 26 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C F F F(-1) F F(-2) F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 66 66 390 0 0 0 0 0 0
normalized size 1 1. 5.91 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.301 1.515 0.135 0. 0. 0. 0. 0.




















Problem 27 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C F F F(-1) F F(-2) F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 66 66 375 0 0 0 0 0 0
normalized size 1 1. 5.68 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.29 1.447 0.129 0. 0. 0. 0. 0.




















Problem 28 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C C F A F F F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 49 49 373 889 0 1 0 0 0
normalized size 1 1. 7.61 18.14 0. 0.02 0. 0. 0.
time (sec) N/A 0.204 1.941 0.058 0. 0.392 0. 0. 0.




















Problem 29 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 158 158 336 262 0 0 0 0 481
normalized size 1 1. 2.13 1.66 0. 0. 0. 0. 3.04
time (sec) N/A 0.331 0.657 0.044 0. 0. 0. 0. 144.928




















Problem 30 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C A F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 173 173 335 257 0 0 0 0 481
normalized size 1 1. 1.94 1.49 0. 0. 0. 0. 2.78
time (sec) N/A 0.392 0.674 0.042 0. 0. 0. 0. 142.026




















Problem 31 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C A F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 176 176 333 266 0 0 0 0 452
normalized size 1 1. 1.89 1.51 0. 0. 0. 0. 2.57
time (sec) N/A 0.361 0.659 0.033 0. 0. 0. 0. 148.138




















Problem 32 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C A F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 169 169 338 253 0 0 0 0 462
normalized size 1 1. 2. 1.5 0. 0. 0. 0. 2.73
time (sec) N/A 0.372 0.677 0.034 0. 0. 0. 0. 144.832




















Problem 33 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F F(-1) F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 159 159 340 264 0 0 0 0 483
normalized size 1 1. 2.14 1.66 0. 0. 0. 0. 3.04
time (sec) N/A 0.375 0.71 0.038 0. 0. 0. 0. 144.083




















Problem 34 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C A F F(-1) F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 175 175 340 261 0 0 0 0 483
normalized size 1 1. 1.94 1.49 0. 0. 0. 0. 2.76
time (sec) N/A 0.425 0.697 0.039 0. 0. 0. 0. 148.262




















Problem 35 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C A F F(-1) F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 178 178 338 270 0 0 0 0 454
normalized size 1 1. 1.9 1.52 0. 0. 0. 0. 2.55
time (sec) N/A 0.379 0.682 0.036 0. 0. 0. 0. 148.028




















Problem 36 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C A F F(-1) F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 170 170 342 255 0 0 0 0 464
normalized size 1 1. 2.01 1.5 0. 0. 0. 0. 2.73
time (sec) N/A 0.376 0.712 0.035 0. 0. 0. 0. 148.946




















Problem 37 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C F F F(-1) F F(-2) F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 316 316 336 0 0 0 0 0 0
normalized size 1 1. 1.06 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.729 2.739 0.119 0. 0. 0. 0. 0.




















Problem 38 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C F F F(-1) F F(-2) F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 324 324 399 0 0 0 0 0 0
normalized size 1 1. 1.23 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.793 2.205 0.113 0. 0. 0. 0. 0.




















Problem 39 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C F F F(-1) F F(-2) F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 333 333 400 0 0 0 0 0 0
normalized size 1 1. 1.2 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.77 2.217 0.103 0. 0. 0. 0. 0.




















Problem 40 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C F F F(-1) F F(-2) F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 329 329 387 0 0 0 0 0 0
normalized size 1 1. 1.18 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.697 2.138 0.103 0. 0. 0. 0. 0.




















Problem 41 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F F F F F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 265 265 380 900 0 0 0 0 0
normalized size 1 1. 1.43 3.4 0. 0. 0. 0. 0.
time (sec) N/A 0.573 2.692 0.012 0. 0. 0. 0. 0.




















Problem 42 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 145 145 207 258 0 0 0 0 473
normalized size 1 1. 1.43 1.78 0. 0. 0. 0. 3.26
time (sec) N/A 0.316 0.532 0.034 0. 0. 0. 0. 137.408




















Problem 43 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C A F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 160 160 209 253 0 0 0 0 473
normalized size 1 1. 1.31 1.58 0. 0. 0. 0. 2.96
time (sec) N/A 0.362 0.532 0.035 0. 0. 0. 0. 139.543




















Problem 44 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 163 163 207 262 0 0 0 0 444
normalized size 1 1. 1.27 1.61 0. 0. 0. 0. 2.72
time (sec) N/A 0.348 0.488 0.029 0. 0. 0. 0. 143.185




















Problem 45 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C A F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 156 156 209 249 0 0 0 0 454
normalized size 1 1. 1.34 1.6 0. 0. 0. 0. 2.91
time (sec) N/A 0.367 0.526 0.029 0. 0. 0. 0. 144.518




















Problem 46 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C F F F(-1) F F F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 275 275 324 0 0 0 0 0 0
normalized size 1 1. 1.18 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.617 2.081 0.11 0. 0. 0. 0. 0.




















Problem 47 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C F F F(-1) F F F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 283 283 388 0 0 0 0 0 0
normalized size 1 1. 1.37 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.638 1.608 0.105 0. 0. 0. 0. 0.




















Problem 48 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C F F F(-1) F F F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 292 292 389 0 0 0 0 0 0
normalized size 1 1. 1.33 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.672 1.589 0.094 0. 0. 0. 0. 0.




















Problem 49 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C F F F(-1) F F F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 288 288 375 0 0 0 0 0 0
normalized size 1 1. 1.3 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.647 1.568 0.095 0. 0. 0. 0. 0.




















Problem 50 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F F F F F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 246 246 372 892 0 0 0 0 0
normalized size 1 1. 1.51 3.63 0. 0. 0. 0. 0.
time (sec) N/A 0.527 1.9 0.012 0. 0. 0. 0. 0.




















Problem 51 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C C F A F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 23 23 265 240 0 59 0 0 371
normalized size 1 1. 11.52 10.43 0. 2.57 0. 0. 16.13
time (sec) N/A 0.103 0.319 0.032 0. 0.341 0. 0. 98.425




















Problem 52 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C C F A F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 27 27 262 240 0 63 0 0 371
normalized size 1 1. 9.7 8.89 0. 2.33 0. 0. 13.74
time (sec) N/A 0.118 0.361 0.036 0. 0.335 0. 0. 101.795




















Problem 53 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C C F A F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 25 25 260 240 0 41 0 0 369
normalized size 1 1. 10.4 9.6 0. 1.64 0. 0. 14.76
time (sec) N/A 0.103 0.349 0.031 0. 0.354 0. 0. 90.878




















Problem 54 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C C F A F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 25 25 267 240 0 43 0 0 377
normalized size 1 1. 10.68 9.6 0. 1.72 0. 0. 15.08
time (sec) N/A 0.116 0.322 0.036 0. 0.352 0. 0. 94.908




















Problem 55 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C F F A F F(-2) A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 50 50 407 0 0 1 0 0 677
normalized size 1 1. 8.14 0. 0. 0.02 0. 0. 13.54
time (sec) N/A 0.23 2.31 0.135 0. 0.719 0. 0. 171.741




















Problem 56 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C F F A F F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 52 52 370 0 0 1 0 0 677
normalized size 1 1. 7.12 0. 0. 0.02 0. 0. 13.02
time (sec) N/A 0.237 1.245 0.151 0. 0.705 0. 0. 172.062




















Problem 57 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C F F A F F(-2) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 53 53 371 0 0 1 0 0 0
normalized size 1 1. 7. 0. 0. 0.02 0. 0. 0.
time (sec) N/A 0.244 1.235 0.124 0. 0.711 0. 0. 0.




















Problem 58 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C F F A F F(-2) F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 53 53 410 0 0 1 0 0 0
normalized size 1 1. 7.74 0. 0. 0.02 0. 0. 0.
time (sec) N/A 0.245 2.311 0.119 0. 0.706 0. 0. 0.




















Problem 59 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C C F A F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 46 46 295 650 0 1 0 0 549
normalized size 1 1. 6.41 14.13 0. 0.02 0. 0. 11.93
time (sec) N/A 0.202 1.035 0.2 0. 0.389 0. 0. 144.56




















Problem 60 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 139 139 273 246 0 0 0 0 391
normalized size 1 1. 1.96 1.77 0. 0. 0. 0. 2.81
time (sec) N/A 0.278 0.406 0.01 0. 0. 0. 0. 93.8




















Problem 61 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C A F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 153 153 271 246 0 0 0 0 391
normalized size 1 1. 1.77 1.61 0. 0. 0. 0. 2.56
time (sec) N/A 0.293 0.387 0.01 0. 0. 0. 0. 95.962




















Problem 62 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C A F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 156 156 269 246 0 0 0 0 389
normalized size 1 1. 1.72 1.58 0. 0. 0. 0. 2.49
time (sec) N/A 0.275 0.376 0.009 0. 0. 0. 0. 94.034




















Problem 63 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C A F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 150 150 275 246 0 0 0 0 398
normalized size 1 1. 1.83 1.64 0. 0. 0. 0. 2.65
time (sec) N/A 0.311 0.393 0.01 0. 0. 0. 0. 65.897




















Problem 64 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C F F F(-1) F F(-2) A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 297 297 419 0 0 0 0 0 745
normalized size 1 1. 1.41 0. 0. 0. 0. 0. 2.51
time (sec) N/A 0.62 2.41 0.103 0. 0. 0. 0. 152.325




















Problem 65 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C F F F(-1) F F(-2) A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 304 304 447 0 0 0 0 0 745
normalized size 1 1. 1.47 0. 0. 0. 0. 0. 2.45
time (sec) N/A 0.609 2.462 0.101 0. 0. 0. 0. 176.072




















Problem 66 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C F F F(-1) F F(-2) F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 313 313 448 0 0 0 0 0 0
normalized size 1 1. 1.43 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.607 2.444 0.102 0. 0. 0. 0. 0.




















Problem 67 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C F F F(-1) F F(-2) F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 310 310 422 0 0 0 0 0 0
normalized size 1 1. 1.36 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.647 2.38 0.094 0. 0. 0. 0. 0.




















Problem 68 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 221 221 384 661 0 0 0 0 588
normalized size 1 1. 1.74 2.99 0. 0. 0. 0. 2.66
time (sec) N/A 0.55 2.006 0.012 0. 0. 0. 0. 154.518




















Problem 69 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 129 129 193 240 0 0 0 0 379
normalized size 1 1. 1.5 1.86 0. 0. 0. 0. 2.94
time (sec) N/A 0.249 0.433 0.01 0. 0. 0. 0. 93.534




















Problem 70 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C A F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 145 145 195 240 0 0 0 0 379
normalized size 1 1. 1.34 1.66 0. 0. 0. 0. 2.61
time (sec) N/A 0.277 0.452 0.009 0. 0. 0. 0. 89.156




















Problem 71 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 148 148 193 240 0 0 0 0 376
normalized size 1 1. 1.3 1.62 0. 0. 0. 0. 2.54
time (sec) N/A 0.258 0.435 0.008 0. 0. 0. 0. 85.672




















Problem 72 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 140 140 195 240 0 0 0 0 386
normalized size 1 1. 1.39 1.71 0. 0. 0. 0. 2.76
time (sec) N/A 0.287 0.436 0.009 0. 0. 0. 0. 91.33




















Problem 73 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C F F F(-1) F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 260 260 407 0 0 0 0 0 687
normalized size 1 1. 1.57 0. 0. 0. 0. 0. 2.64
time (sec) N/A 0.528 2.728 0.095 0. 0. 0. 0. 170.311




















Problem 74 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C F F F(-1) F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 268 268 371 0 0 0 0 0 687
normalized size 1 1. 1.38 0. 0. 0. 0. 0. 2.56
time (sec) N/A 0.561 1.45 0.093 0. 0. 0. 0. 173.008




















Problem 75 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C F F F(-1) F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 277 277 372 0 0 0 0 0 687
normalized size 1 1. 1.34 0. 0. 0. 0. 0. 2.48
time (sec) N/A 0.57 1.461 0.086 0. 0. 0. 0. 170.524




















Problem 76 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C F F F(-1) F F F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 273 273 410 0 0 0 0 0 0
normalized size 1 1. 1.5 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.59 2.718 0.087 0. 0. 0. 0. 0.




















Problem 77 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 202 202 295 653 0 0 0 0 561
normalized size 1 1. 1.46 3.23 0. 0. 0. 0. 2.78
time (sec) N/A 0.517 1.17 0.011 0. 0. 0. 0. 132.163




















Problem 78 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C C F A F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 42 42 267 245 0 363 0 0 134
normalized size 1 1. 6.36 5.83 0. 8.64 0. 0. 3.19
time (sec) N/A 0.196 0.499 0.074 0. 0.364 0. 0. 29.83




















Problem 79 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C C F A F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 46 46 269 243 0 366 0 0 133
normalized size 1 1. 5.85 5.28 0. 7.96 0. 0. 2.89
time (sec) N/A 0.192 0.515 0.096 0. 0.355 0. 0. 36.41




















Problem 80 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C C F A F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 44 44 267 245 0 140 0 0 76
normalized size 1 1. 6.07 5.57 0. 3.18 0. 0. 1.73
time (sec) N/A 0.177 0.476 0.053 0. 0.356 0. 0. 20.171




















Problem 81 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C C F A F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 44 44 269 247 0 143 0 0 80
normalized size 1 1. 6.11 5.61 0. 3.25 0. 0. 1.82
time (sec) N/A 0.161 0.501 0.09 0. 0.35 0. 0. 16.953




















Problem 82 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C F F F(-1) F A A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 69 69 322 0 0 0 0 4 250
normalized size 1 1. 4.67 0. 0. 0. 0. 0.06 3.62
time (sec) N/A 0.361 1.054 0.227 0. 0. 0. 0.597 49.079




















Problem 83 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C F F F(-1) F A A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 71 71 446 0 0 0 0 4 248
normalized size 1 1. 6.28 0. 0. 0. 0. 0.06 3.49
time (sec) N/A 0.32 2.725 0.195 0. 0. 0. 0.624 56.368




















Problem 84 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C F F F(-1) F A A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 72 72 447 0 0 0 0 4 163
normalized size 1 1. 6.21 0. 0. 0. 0. 0.06 2.26
time (sec) N/A 0.317 2.772 0.121 0. 0. 0. 0.635 48.783




















Problem 85 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C F F F(-1) F A A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 72 72 325 0 0 0 0 4 163
normalized size 1 1. 4.51 0. 0. 0. 0. 0.06 2.26
time (sec) N/A 0.283 1.055 0.122 0. 0. 0. 0.602 44.573




















Problem 86 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C F F F(-1) A A F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 73 73 1527 0 0 0 0 4 0
normalized size 1 1. 20.92 0. 0. 0. 0. 0.05 0.
time (sec) N/A 0.337 8.297 0.168 0. 0. 12.29 0.603 0.




















Problem 87 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C F F F(-1) A A F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 75 75 1486 0 0 0 0 4 0
normalized size 1 1. 19.81 0. 0. 0. 0. 0.05 0.
time (sec) N/A 0.337 8.349 0.161 0. 0. 13.705 0.613 0.




















Problem 88 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C F F F(-1) A A F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 76 76 1492 0 0 0 0 4 0
normalized size 1 1. 19.63 0. 0. 0. 0. 0.05 0.
time (sec) N/A 0.33 8.344 0.111 0. 0. 13.514 0.606 0.




















Problem 89 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C F F F(-1) A A F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 76 76 1545 0 0 0 0 4 0
normalized size 1 1. 20.33 0. 0. 0. 0. 0.05 0.
time (sec) N/A 0.314 8.482 0.113 0. 0. 12.985 0.6 0.




















Problem 90 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C C F A F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 42 42 269 245 0 142 0 0 78
normalized size 1 1. 6.4 5.83 0. 3.38 0. 0. 1.86
time (sec) N/A 0.177 0.548 0.03 0. 0.313 0. 0. 16.049




















Problem 91 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C C F A F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 46 46 267 247 0 144 0 0 78
normalized size 1 1. 5.8 5.37 0. 3.13 0. 0. 1.7
time (sec) N/A 0.205 0.524 0.038 0. 0.329 0. 0. 23.305




















Problem 92 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C C F A F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 44 44 265 245 0 366 0 0 133
normalized size 1 1. 6.02 5.57 0. 8.32 0. 0. 3.02
time (sec) N/A 0.201 0.477 0.031 0. 0.317 0. 0. 33.002




















Problem 93 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C C F A F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 44 44 271 243 0 369 0 0 138
normalized size 1 1. 6.16 5.52 0. 8.39 0. 0. 3.14
time (sec) N/A 0.176 0.505 0.022 0. 0.32 0. 0. 31.107




















Problem 94 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C F F F(-1) F A A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 69 69 320 0 0 0 0 4 162
normalized size 1 1. 4.64 0. 0. 0. 0. 0.06 2.35
time (sec) N/A 0.327 1.031 0.164 0. 0. 0. 0.603 42.193




















Problem 95 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C F F F(-1) F A A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 71 71 329 0 0 0 0 4 162
normalized size 1 1. 4.63 0. 0. 0. 0. 0.06 2.28
time (sec) N/A 0.323 1.353 0.167 0. 0. 0. 0.601 50.356




















Problem 96 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C F F F(-1) F A A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 72 72 330 0 0 0 0 4 248
normalized size 1 1. 4.58 0. 0. 0. 0. 0.06 3.44
time (sec) N/A 0.33 1.348 0.14 0. 0. 0. 0.601 61.159




















Problem 97 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C F F F(-1) F A A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 72 72 323 0 0 0 0 4 253
normalized size 1 1. 4.49 0. 0. 0. 0. 0.06 3.51
time (sec) N/A 0.297 1.041 0.119 0. 0. 0. 0.615 59.654




















Problem 98 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C F F F(-1) A A F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 73 73 1528 0 0 0 0 4 0
normalized size 1 1. 20.93 0. 0. 0. 0. 0.05 0.
time (sec) N/A 0.312 7.983 0.144 0. 0. 12.659 0.61 0.




















Problem 99 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C F F F(-1) A A F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 75 75 1491 0 0 0 0 4 0
normalized size 1 1. 19.88 0. 0. 0. 0. 0.05 0.
time (sec) N/A 0.332 8.086 0.148 0. 0. 13.636 0.605 0.




















Problem 100 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C F F F(-1) A A F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 76 76 836 0 0 0 0 4 0
normalized size 1 1. 11. 0. 0. 0. 0. 0.05 0.
time (sec) N/A 0.333 5.598 0.114 0. 0. 13.976 0.616 0.




















Problem 101 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C F F F(-1) A A F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 76 76 1546 0 0 0 0 4 0
normalized size 1 1. 20.34 0. 0. 0. 0. 0.05 0.
time (sec) N/A 0.322 8.036 0.13 0. 0. 13.373 0.617 0.




















Problem 102 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 145 145 269 245 0 0 0 0 78
normalized size 1 1. 1.86 1.69 0. 0. 0. 0. 0.54
time (sec) N/A 0.356 0.533 0.034 0. 0. 0. 0. 13.216




















Problem 103 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 145 145 267 245 0 0 0 0 226
normalized size 1 1. 1.84 1.69 0. 0. 0. 0. 1.56
time (sec) N/A 0.379 0.454 0.033 0. 0. 0. 0. 41.308




















Problem 104 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C A F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 173 173 291 260 0 0 0 0 82
normalized size 1 1. 1.68 1.5 0. 0. 0. 0. 0.47
time (sec) N/A 0.496 0.709 0.038 0. 0. 0. 0. 13.767




















Problem 105 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C A F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 187 187 291 264 0 0 0 0 82
normalized size 1 1. 1.56 1.41 0. 0. 0. 0. 0.44
time (sec) N/A 0.559 0.716 0.038 0. 0. 0. 0. 16.032




















Problem 106 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C A F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 190 190 289 262 0 0 0 0 246
normalized size 1 1. 1.52 1.38 0. 0. 0. 0. 1.29
time (sec) N/A 0.487 0.728 0.036 0. 0. 0. 0. 45.45




















Problem 107 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C A F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 183 183 293 258 0 0 0 0 252
normalized size 1 1. 1.6 1.41 0. 0. 0. 0. 1.38
time (sec) N/A 0.503 0.728 0.035 0. 0. 0. 0. 44.432




















Problem 108 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C F F F(-1) F A A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 332 332 438 0 0 0 0 4 483
normalized size 1 1. 1.32 0. 0. 0. 0. 0.01 1.45
time (sec) N/A 1.045 3.055 0.121 0. 0. 0. 0.607 80.324




















Problem 109 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C F F F(-1) F A A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 336 336 466 0 0 0 0 4 481
normalized size 1 1. 1.39 0. 0. 0. 0. 0.01 1.43
time (sec) N/A 1.047 3.16 0.116 0. 0. 0. 0.59 92.826




















Problem 110 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C F F F(-1) F A A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 345 345 467 0 0 0 0 4 177
normalized size 1 1. 1.35 0. 0. 0. 0. 0.01 0.51
time (sec) N/A 0.969 3.15 0.104 0. 0. 0. 0.609 38.649




















Problem 111 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C F F F(-1) F A A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 345 345 441 0 0 0 0 4 177
normalized size 1 1. 1.28 0. 0. 0. 0. 0.01 0.51
time (sec) N/A 0.997 3.09 0.105 0. 0. 0. 0.597 38.455




















Problem 112 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 136 136 209 255 0 0 0 0 78
normalized size 1 1. 1.54 1.88 0. 0. 0. 0. 0.57
time (sec) N/A 0.422 0.802 0.033 0. 0. 0. 0. 10.994




















Problem 113 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 152 152 232 257 0 0 0 0 78
normalized size 1 1. 1.53 1.69 0. 0. 0. 0. 0.51
time (sec) N/A 0.471 1.039 0.033 0. 0. 0. 0. 13.05




















Problem 114 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C A F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 164 164 230 255 0 0 0 0 240
normalized size 1 1. 1.4 1.55 0. 0. 0. 0. 1.46
time (sec) N/A 0.475 0.978 0.027 0. 0. 0. 0. 41.931




















Problem 115 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C A F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 156 156 211 253 0 0 0 0 246
normalized size 1 1. 1.35 1.62 0. 0. 0. 0. 1.58
time (sec) N/A 0.463 0.79 0.029 0. 0. 0. 0. 40.574




















Problem 116 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 147 147 225 255 0 0 0 0 240
normalized size 1 1. 1.53 1.73 0. 0. 0. 0. 1.63
time (sec) N/A 0.461 0.976 0.033 0. 0. 0. 0. 41.647




















Problem 117 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C F F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 278 278 427 0 0 0 0 0 444
normalized size 1 1. 1.54 0. 0. 0. 0. 0. 1.6
time (sec) N/A 0.877 2.053 0.108 0. 0. 0. 0. 76.988




















Problem 118 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C F F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 286 286 454 0 0 0 0 0 444
normalized size 1 1. 1.59 0. 0. 0. 0. 0. 1.55
time (sec) N/A 0.915 2.301 0.107 0. 0. 0. 0. 87.777




















Problem 119 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C F F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 282 282 455 0 0 0 0 0 168
normalized size 1 1. 1.61 0. 0. 0. 0. 0. 0.6
time (sec) N/A 0.856 2.335 0.096 0. 0. 0. 0. 33.84




















Problem 120 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C F F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 278 278 430 0 0 0 0 0 168
normalized size 1 1. 1.55 0. 0. 0. 0. 0. 0.6
time (sec) N/A 0.826 2.039 0.098 0. 0. 0. 0. 32.896




















Problem 121 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C A F F(-1) F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 319 319 214 275 0 0 0 0 326
normalized size 1 1. 0.67 0.86 0. 0. 0. 0. 1.02
time (sec) N/A 2.525 1.019 0.056 0. 0. 0. 0. 155.724




















Problem 122 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C A F F(-1) F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 331 331 235 264 0 0 0 0 325
normalized size 1 1. 0.71 0.8 0. 0. 0. 0. 0.98
time (sec) N/A 2.456 1.233 0.064 0. 0. 0. 0. 165.609




















Problem 123 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C A F F(-2) F F F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 327 327 233 273 0 0 0 0 0
normalized size 1 1. 0.71 0.83 0. 0. 0. 0. 0.
time (sec) N/A 1.857 1.203 0.055 0. 0. 0. 0. 0.




















Problem 124 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C A F F(-1) F F F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 323 323 216 266 0 0 0 0 0
normalized size 1 1. 0.67 0.82 0. 0. 0. 0. 0.
time (sec) N/A 2.179 1.029 0.06 0. 0. 0. 0. 0.




















Problem 125 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C A F F(-1) F F F(-1)
verified N/A NO NO TBD TBD TBD TBD TBD TBD
size 360 360 213 275 0 0 0 0 0
normalized size 1 1. 0.59 0.76 0. 0. 0. 0. 0.
time (sec) N/A 2.198 0.986 0.031 0. 0. 0. 0. 0.




















Problem 126 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C A F F(-1) F F F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 348 348 235 268 0 0 0 0 0
normalized size 1 1. 0.68 0.77 0. 0. 0. 0. 0.
time (sec) N/A 2.111 1.255 0.031 0. 0. 0. 0. 0.




















Problem 127 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C A F F(-2) F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 344 344 233 277 0 0 0 0 325
normalized size 1 1. 0.68 0.81 0. 0. 0. 0. 0.94
time (sec) N/A 1.825 1.173 0.028 0. 0. 0. 0. 154.739




















Problem 128 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C A F F(-1) F F A
verified N/A NO NO TBD TBD TBD TBD TBD TBD
size 364 364 215 266 0 0 0 0 330
normalized size 1 1. 0.59 0.73 0. 0. 0. 0. 0.91
time (sec) N/A 2.096 1.022 0.029 0. 0. 0. 0. 170.995




















Problem 129 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 125 125 149 132 0 0 56 0 117
normalized size 1 1. 1.19 1.06 0. 0. 0.45 0. 0.94
time (sec) N/A 0.103 0.787 0.041 0. 0. 6.849 0. 10.783




















Problem 130 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 139 139 157 125 0 0 99 0 117
normalized size 1 1. 1.13 0.9 0. 0. 0.71 0. 0.84
time (sec) N/A 0.113 0.818 0.049 0. 0. 8.073 0. 12.82




















Problem 131 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 142 142 150 140 0 0 94 0 116
normalized size 1 1. 1.06 0.99 0. 0. 0.66 0. 0.82
time (sec) N/A 0.11 1.051 0.037 0. 0. 7.924 0. 11.621




















Problem 132 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 136 136 155 135 0 0 61 0 121
normalized size 1 1. 1.14 0.99 0. 0. 0.45 0. 0.89
time (sec) N/A 0.111 0.951 0.042 0. 0. 6.936 0. 12.1




















Problem 133 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 127 127 149 132 0 0 56 0 117
normalized size 1 1. 1.17 1.04 0. 0. 0.44 0. 0.92
time (sec) N/A 0.095 0.56 0.023 0. 0. 6.917 0. 11.268




















Problem 134 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 141 141 158 125 0 0 99 0 117
normalized size 1 1. 1.12 0.89 0. 0. 0.7 0. 0.83
time (sec) N/A 0.12 1.483 0.023 0. 0. 8.171 0. 13.497




















Problem 135 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 144 144 151 140 0 0 94 0 116
normalized size 1 1. 1.05 0.97 0. 0. 0.65 0. 0.81
time (sec) N/A 0.102 1.23 0.019 0. 0. 8.255 0. 12.321




















Problem 136 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 138 138 156 135 0 0 61 0 121
normalized size 1 1. 1.13 0.98 0. 0. 0.44 0. 0.88
time (sec) N/A 0.11 1.314 0.019 0. 0. 6.994 0. 12.93




















Problem 137 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C A F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 334 334 194 240 0 0 0 0 379
normalized size 1 1. 0.58 0.72 0. 0. 0. 0. 1.13
time (sec) N/A 1.395 0.383 0.009 0. 0. 0. 0. 89.332




















Problem 138 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C A F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 379 379 195 240 0 0 0 0 384
normalized size 1 1. 0.51 0.63 0. 0. 0. 0. 1.01
time (sec) N/A 1.611 0.399 0.011 0. 0. 0. 0. 90.473




















Problem 139 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C A F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 375 375 193 240 0 0 0 0 381
normalized size 1 1. 0.51 0.64 0. 0. 0. 0. 1.02
time (sec) N/A 1.503 0.396 0.009 0. 0. 0. 0. 88.028




















Problem 140 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C A F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 343 343 196 240 0 0 0 0 384
normalized size 1 1. 0.57 0.7 0. 0. 0. 0. 1.12
time (sec) N/A 1.454 0.406 0.01 0. 0. 0. 0. 90.658




















Problem 141 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C A F F(-1) F F F(-1)
verified N/A NO NO TBD TBD TBD TBD TBD TBD
size 452 452 211 274 0 0 0 0 0
normalized size 1 1. 0.47 0.61 0. 0. 0. 0. 0.
time (sec) N/A 2.847 0.928 0.011 0. 0. 0. 0. 0.




















Problem 142 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C A F F F F F(-1)
verified N/A NO NO TBD TBD TBD TBD TBD TBD
size 476 476 233 265 0 0 0 0 0
normalized size 1 1. 0.49 0.56 0. 0. 0. 0. 0.
time (sec) N/A 2.836 1.229 0.011 0. 0. 0. 0. 0.




















Problem 143 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C A F F F F F(-1)
verified N/A NO NO TBD TBD TBD TBD TBD TBD
size 477 477 231 274 0 0 0 0 0
normalized size 1 1. 0.48 0.57 0. 0. 0. 0. 0.
time (sec) N/A 2.383 1.199 0.011 0. 0. 0. 0. 0.




















Problem 144 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C A F F(-1) F F F(-1)
verified N/A NO NO TBD TBD TBD TBD TBD TBD
size 465 465 213 265 0 0 0 0 0
normalized size 1 1. 0.46 0.57 0. 0. 0. 0. 0.
time (sec) N/A 3.024 0.936 0.011 0. 0. 0. 0. 0.




















Problem 145 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 120 120 134 129 0 0 42 0 112
normalized size 1 1. 1.12 1.08 0. 0. 0.35 0. 0.93
time (sec) N/A 0.113 0.608 0.009 0. 0. 5.348 0. 11.09




















Problem 146 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 134 134 140 122 0 0 65 0 114
normalized size 1 1. 1.04 0.91 0. 0. 0.49 0. 0.85
time (sec) N/A 0.121 0.603 0.008 0. 0. 5.588 0. 12.291




















Problem 147 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 137 137 136 129 0 0 60 0 110
normalized size 1 1. 0.99 0.94 0. 0. 0.44 0. 0.8
time (sec) N/A 0.122 0.49 0.008 0. 0. 5.499 0. 11.404




















Problem 148 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 131 131 138 122 0 0 46 0 116
normalized size 1 1. 1.05 0.93 0. 0. 0.35 0. 0.89
time (sec) N/A 0.126 0.624 0.008 0. 0. 5.396 0. 12.655




















Problem 149 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F(-2) F F F(-1)
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 95 95 0 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.22 0.165 0.066 0. 0. 0. 0. 0.




















Problem 150 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F(-1) F F F(-1)
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 234 234 0 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.428 0.205 0.061 0. 0. 0. 0. 0.




















Problem 151 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 160 160 204 451 342 662 6431 1238 144
normalized size 1 1. 1.27 2.82 2.14 4.14 40.19 7.74 0.9
time (sec) N/A 0.212 0.199 0.012 0.707 0.291 51.028 0.273 40.45




















Problem 152 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 126 126 142 283 248 470 3699 857 112
normalized size 1 1. 1.13 2.25 1.97 3.73 29.36 6.8 0.89
time (sec) N/A 0.147 0.12 0.008 0.713 0.289 15.325 0.27 31.463




















Problem 153 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 94 94 95 167 0 300 1904 539 83
normalized size 1 1. 1.01 1.78 0. 3.19 20.26 5.73 0.88
time (sec) N/A 0.096 0.108 0.007 0. 0.286 9.164 0.269 24.107




















Problem 154 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 99 99 125 0 0 0 741 0 83
normalized size 1 1. 1.26 0. 0. 0. 7.48 0. 0.84
time (sec) N/A 0.115 0.251 0.04 0. 0. 11.085 0. 23.207




















Problem 155 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B A A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 294 294 534 1565 811 2113 0 1 275
normalized size 1 1. 1.82 5.32 2.76 7.19 0. 0. 0.94
time (sec) N/A 0.419 0.571 0.022 0.717 0.303 0. 0.273 87.321




















Problem 156 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B A A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 248 248 406 1142 640 1642 0 1 228
normalized size 1 1. 1.64 4.6 2.58 6.62 0. 0. 0.92
time (sec) N/A 0.317 0.485 0.02 0.715 0.291 0. 0.271 68.524




















Problem 157 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 203 203 297 793 0 1206 11662 1 187
normalized size 1 1. 1.46 3.91 0. 5.94 57.45 0. 0.92
time (sec) N/A 0.247 0.278 0.017 0. 0.289 144.844 0.272 58.148




















Problem 158 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A B F F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 209 209 420 0 0 0 4755 0 187
normalized size 1 1. 2.01 0. 0. 0. 22.75 0. 0.89
time (sec) N/A 0.274 0.613 0.05 0. 0. 31.633 0. 57.755




















Problem 159 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A B B A A F(-1) F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 459 459 1134 3780 1557 4811 0 0 439
normalized size 1 1. 2.47 8.24 3.39 10.48 0. 0. 0.96
time (sec) N/A 0.683 2.011 0.043 0.733 0.331 0. 0. 144.694




















Problem 160 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A B B A A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 396 396 903 2972 1287 3941 0 1 374
normalized size 1 1. 2.28 7.51 3.25 9.95 0. 0. 0.94
time (sec) N/A 0.587 1.343 0.033 0.741 0.323 0. 0.298 121.254




















Problem 161 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A B B F(-2) A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 337 337 706 2280 0 3123 0 1 316
normalized size 1 1. 2.09 6.77 0. 9.27 0. 0. 0.94
time (sec) N/A 0.466 1.095 0.028 0. 0.319 0. 0.281 100.789




















Problem 162 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A B F F F F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 358 358 856 0 0 0 0 0 338
normalized size 1 1. 2.39 0. 0. 0. 0. 0. 0.94
time (sec) N/A 0.48 1.84 0.05 0. 0. 0. 0. 100.157




















Problem 163 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C F F F F(-1) F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 324 324 423 0 0 0 0 0 272
normalized size 1 1. 1.31 0. 0. 0. 0. 0. 0.84
time (sec) N/A 1.478 0.59 0.093 0. 0. 0. 0. 143.417




















Problem 164 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C F F F F(-1) F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 332 332 298 0 0 0 0 0 287
normalized size 1 1. 0.9 0. 0. 0. 0. 0. 0.86
time (sec) N/A 1.603 0.692 0.083 0. 0. 0. 0. 167.999




















Problem 165 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C F F F F(-1) F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 293 293 142 0 0 0 0 0 243
normalized size 1 1. 0.48 0. 0. 0. 0. 0. 0.83
time (sec) N/A 1.195 0.141 0.075 0. 0. 0. 0. 120.717




















Problem 166 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C F F F F(-1) F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 253 253 337 0 0 0 0 0 209
normalized size 1 1. 1.33 0. 0. 0. 0. 0. 0.83
time (sec) N/A 0.69 0.122 0.073 0. 0. 0. 0. 73.025




















Problem 167 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C F F F F(-1) F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 288 288 229 0 0 0 0 0 252
normalized size 1 1. 0.8 0. 0. 0. 0. 0. 0.88
time (sec) N/A 0.686 0.085 0.073 0. 0. 0. 0. 96.608




















Problem 168 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C F F F F(-1) F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 263 263 122 0 0 0 0 0 223
normalized size 1 1. 0.46 0. 0. 0. 0. 0. 0.85
time (sec) N/A 0.472 0.051 0.073 0. 0. 0. 0. 60.838




















Problem 169 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C F F F F(-1) F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 300 300 377 0 0 0 0 0 241
normalized size 1 1. 1.26 0. 0. 0. 0. 0. 0.8
time (sec) N/A 1.243 0.263 0.062 0. 0. 0. 0. 129.179




















Problem 170 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C F F F F(-1) F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 326 326 280 0 0 0 0 0 282
normalized size 1 1. 0.86 0. 0. 0. 0. 0. 0.87
time (sec) N/A 1.289 0.247 0.09 0. 0. 0. 0. 163.288




















Problem 171 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C F F F F(-1) F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 253 253 375 0 0 0 0 0 209
normalized size 1 1. 1.48 0. 0. 0. 0. 0. 0.83
time (sec) N/A 0.949 0.328 0.077 0. 0. 0. 0. 75.827




















Problem 172 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F(-1) F A
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 211 211 0 0 0 0 0 0 168
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.8
time (sec) N/A 0.97 0.083 0.102 0. 0. 0. 0. 88.744




















Problem 173 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C A F F F F F
verified N/A NO NO TBD TBD TBD TBD TBD TBD
size 1482 1482 820 1126 0 0 0 0 0
normalized size 1 1. 0.55 0.76 0. 0. 0. 0. 0.
time (sec) N/A 5.746 3.575 0.142 0. 0. 0. 0. 0.




















Problem 174 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A F A F F F A F F
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 135 0 0 0 0 0 638 0 0
normalized size 1 0. 0. 0. 0. 0. 4.73 0. 0.
time (sec) N/A 0.122 0.043 0.087 0. 0. 164.096 0. 0.




















Problem 175 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C C F A F F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 16 16 296 1640 0 26 0 0 0
normalized size 1 1. 18.5 102.5 0. 1.62 0. 0. 0.
time (sec) N/A 0.109 1.362 0.097 0. 0.298 0. 0. 0.




















Problem 176 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C C F A F F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 20 20 280 732 0 26 0 0 0
normalized size 1 1. 14. 36.6 0. 1.3 0. 0. 0.
time (sec) N/A 0.132 1.046 0.097 0. 0.306 0. 0. 0.




















Problem 177 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C C F A F F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 18 18 278 1656 0 34 0 0 0
normalized size 1 1. 15.44 92. 0. 1.89 0. 0. 0.
time (sec) N/A 0.111 1.018 0.075 0. 0.271 0. 0. 0.




















Problem 178 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C C F A F F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 18 18 298 724 0 38 0 0 0
normalized size 1 1. 16.56 40.22 0. 2.11 0. 0. 0.
time (sec) N/A 0.123 1.187 0.092 0. 0.269 0. 0. 0.




















Problem 179 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C C F(-2) A F F F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 30 30 424 4397 0 1 0 0 0
normalized size 1 1. 14.13 146.57 0. 0.03 0. 0. 0.
time (sec) N/A 0.143 2.056 0.057 0. 0.291 0. 0. 0.




















Problem 180 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C C F(-2) A F F F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 38 38 427 1908 0 1 0 0 0
normalized size 1 1. 11.24 50.21 0. 0.03 0. 0. 0.
time (sec) N/A 0.183 2.084 0.069 0. 0.289 0. 0. 0.




















Problem 181 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C C F(-2) A F F F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 36 36 425 4437 0 1 0 0 0
normalized size 1 1. 11.81 123.25 0. 0.03 0. 0. 0.
time (sec) N/A 0.144 0.616 0.043 0. 0.288 0. 0. 0.




















Problem 182 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C C F(-2) A F F F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 32 32 426 1888 0 1 0 0 0
normalized size 1 1. 13.31 59. 0. 0.03 0. 0. 0.
time (sec) N/A 0.15 2.062 0.053 0. 0.296 0. 0. 0.




















Problem 183 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C C F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 355 355 310 334 0 0 175 0 332
normalized size 1 1. 0.87 0.94 0. 0. 0.49 0. 0.94
time (sec) N/A 0.503 0.724 0.048 0. 0. 10.108 0. 54.531




















Problem 184 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C C F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 326 326 247 310 0 0 138 0 301
normalized size 1 1. 0.76 0.95 0. 0. 0.42 0. 0.92
time (sec) N/A 0.404 0.699 0.01 0. 0. 9.741 0. 44.478




















Problem 185 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C C F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 158 158 132 127 0 0 88 0 143
normalized size 1 1. 0.84 0.8 0. 0. 0.56 0. 0.91
time (sec) N/A 0.181 0.553 0.006 0. 0. 8.502 0. 16.577




















Problem 186 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C C F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 105 105 89 85 0 0 37 0 92
normalized size 1 1. 0.85 0.81 0. 0. 0.35 0. 0.88
time (sec) N/A 0.056 0.175 0.003 0. 0. 2.108 0. 5.444




















Problem 187 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C C F F(-1) F F F
verified N/A NO Yes TBD TBD TBD TBD TBD TBD
size 737 737 451 565 0 0 0 0 0
normalized size 1 1. 0.61 0.77 0. 0. 0. 0. 0.
time (sec) N/A 1.393 1.636 0.021 0. 0. 0. 0. 0.




















Problem 188 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C C F F F F F
verified N/A NO Yes TBD TBD TBD TBD TBD TBD
size 1385 1385 924 402 0 0 0 0 0
normalized size 1 1. 0.67 0.29 0. 0. 0. 0. 0.
time (sec) N/A 4.063 6.291 0.025 0. 0. 0. 0. 0.




















Problem 189 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C C F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 295 295 240 218 0 0 141 0 272
normalized size 1 1. 0.81 0.74 0. 0. 0.48 0. 0.92
time (sec) N/A 0.383 0.504 0.012 0. 0. 8.355 0. 42.949




















Problem 190 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C C F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 263 263 204 197 0 0 105 0 240
normalized size 1 1. 0.78 0.75 0. 0. 0.4 0. 0.91
time (sec) N/A 0.3 0.334 0.01 0. 0. 7.538 0. 33.249




















Problem 191 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C C F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 121 121 107 96 0 0 61 0 109
normalized size 1 1. 0.88 0.79 0. 0. 0.5 0. 0.9
time (sec) N/A 0.13 0.213 0.005 0. 0. 5.819 0. 13.81




















Problem 192 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C C F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 88 88 74 70 0 0 36 0 78
normalized size 1 1. 0.84 0.8 0. 0. 0.41 0. 0.89
time (sec) N/A 0.034 0.043 0.003 0. 0. 2.025 0. 3.916




















Problem 193 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C C F F(-1) F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 413 413 200 169 0 0 0 0 367
normalized size 1 1. 0.48 0.41 0. 0. 0. 0. 0.89
time (sec) N/A 0.602 0.434 0.008 0. 0. 0. 0. 56.331




















Problem 194 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C C F F(-1) F F A
verified N/A NO Yes TBD TBD TBD TBD TBD TBD
size 749 749 462 421 0 0 0 0 666
normalized size 1 1. 0.62 0.56 0. 0. 0. 0. 0.89
time (sec) N/A 1.162 2.419 0.009 0. 0. 0. 0. 119.817




















Problem 195 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C C F F(-1) F F F
verified N/A NO Yes TBD TBD TBD TBD TBD TBD
size 1969 1969 884 483 0 0 0 0 0
normalized size 1 1. 0.45 0.25 0. 0. 0. 0. 0.
time (sec) N/A 9.258 2.05 0.025 0. 0. 0. 0. 0.




















Problem 196 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C C F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 298 298 215 261 0 0 0 0 272
normalized size 1 1. 0.72 0.88 0. 0. 0. 0. 0.91
time (sec) N/A 0.342 0.485 0.039 0. 0. 0. 0. 37.383




















Problem 197 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C C F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 270 270 188 239 0 0 0 0 238
normalized size 1 1. 0.7 0.89 0. 0. 0. 0. 0.88
time (sec) N/A 0.313 0.364 0.011 0. 0. 0. 0. 34.699




















Problem 198 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C C F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 114 114 90 115 0 0 61 0 100
normalized size 1 1. 0.79 1.01 0. 0. 0.54 0. 0.88
time (sec) N/A 0.111 0.183 0.006 0. 0. 24.228 0. 12.695




















Problem 199 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C C F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 108 108 102 94 0 0 36 0 94
normalized size 1 1. 0.94 0.87 0. 0. 0.33 0. 0.87
time (sec) N/A 0.064 0.073 0.004 0. 0. 2.275 0. 5.657




















Problem 200 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C C F F(-1) F F F
verified N/A NO Yes TBD TBD TBD TBD TBD TBD
size 827 827 464 496 0 0 0 0 0
normalized size 1 1. 0.56 0.6 0. 0. 0. 0. 0.
time (sec) N/A 1.725 4.595 0.025 0. 0. 0. 0. 0.




















Problem 201 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C C F F F F F
verified N/A NO Yes TBD TBD TBD TBD TBD TBD
size 2413 2413 809 642 0 0 0 0 0
normalized size 1 1. 0.34 0.27 0. 0. 0. 0. 0.
time (sec) N/A 13.525 4.066 0.038 0. 0. 0. 0. 0.




















Problem 202 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C F F F F(-1) F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 349 349 526 0 0 0 0 0 265
normalized size 1 1. 1.51 0. 0. 0. 0. 0. 0.76
time (sec) N/A 1.463 0.253 0.078 0. 0. 0. 0. 86.392




















Problem 203 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C F F F F(-1) F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 349 349 691 0 0 0 0 0 265
normalized size 1 1. 1.98 0. 0. 0. 0. 0. 0.76
time (sec) N/A 1.204 0.348 0.076 0. 0. 0. 0. 90.077




















Problem 204 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C C F F(-1) F F F(-1)
verified N/A NO NO TBD TBD TBD TBD TBD TBD
size 1493 1493 653 1153 0 0 0 0 0
normalized size 1 1. 0.44 0.77 0. 0. 0. 0. 0.
time (sec) N/A 15.287 8.5 0.102 0. 0. 0. 0. 0.




















Problem 205 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A F F(-2) A
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 75 75 0 64 0 1 0 0 68
normalized size 1 1. 0. 0.85 0. 0.01 0. 0. 0.91
time (sec) N/A 0.056 0.109 0.193 0. 0.396 0. 0. 11.595




















Problem 206 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A F A A
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 50 50 0 57 0 1 0 92 42
normalized size 1 1. 0. 1.14 0. 0.02 0. 1.84 0.84
time (sec) N/A 0.04 0.088 0.066 0. 0.393 0. 0.282 10.248




















Problem 207 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A F F(-2) A
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 24 24 0 17 0 1 0 0 22
normalized size 1 1. 0. 0.71 0. 0.04 0. 0. 0.92
time (sec) N/A 0.025 0.034 0.058 0. 0.358 0. 0. 8.864




















Problem 208 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 23 23 23 37 55 23 0 38 22
normalized size 1 1. 1. 1.61 2.39 1. 0. 1.65 0.96
time (sec) N/A 0.016 0.016 0.008 0.78 0.286 0. 0.274 7.016




















Problem 209 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 49 49 30 44 68 34 0 58 44
normalized size 1 1. 0.61 0.9 1.39 0.69 0. 1.18 0.9
time (sec) N/A 0.03 0.015 0.008 0.783 0.277 0. 0.279 8.225




















Problem 210 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 37 37 33 28 35 39 0 39 32
normalized size 1 1. 0.89 0.76 0.95 1.05 0. 1.05 0.86
time (sec) N/A 0.022 0.068 0.016 0.768 0.293 0. 0.261 13.96




















Problem 211 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 37 37 33 28 35 39 0 39 32
normalized size 1 1. 0.89 0.76 0.95 1.05 0. 1.05 0.86
time (sec) N/A 0.025 0.007 0.01 0.77 0.299 0. 0.26 14.967




















Problem 212 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 71 71 44 38 54 55 0 57 65
normalized size 1 1. 0.62 0.54 0.76 0.77 0. 0.8 0.92
time (sec) N/A 0.037 0.037 0.014 0.775 0.294 0. 0.264 15.073




















Problem 213 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F A A
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 49 49 0 37 57 1 0 65 42
normalized size 1 1. 0. 0.76 1.16 0.02 0. 1.33 0.86
time (sec) N/A 0.035 0.139 0.005 0.777 0.293 0. 0.261 14.45




















Problem 214 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F A A
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 49 49 0 37 57 1 0 65 42
normalized size 1 1. 0. 0.76 1.16 0.02 0. 1.33 0.86
time (sec) N/A 0.037 0.068 0.004 0.776 0.291 0. 0.262 15.221




















Problem 215 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 44 44 47 43 43 1 0 51 39
normalized size 1 1. 1.07 0.98 0.98 0.02 0. 1.16 0.89
time (sec) N/A 0.033 0.033 0.019 0.791 0.289 0. 0.265 18.392




















Problem 216 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 44 44 32 26 26 177 0 36 36
normalized size 1 1. 0.73 0.59 0.59 4.02 0. 0.82 0.82
time (sec) N/A 0.023 0.017 0.01 0.786 0.299 0. 0.261 8.767




















Problem 217 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C C F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 83 83 77 76 0 0 0 0 73
normalized size 1 1. 0.93 0.92 0. 0. 0. 0. 0.88
time (sec) N/A 0.061 0.069 0.031 0. 0. 0. 0. 10.722




















Problem 218 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 22 22 22 19 26 74 20 26 17
normalized size 1 1. 1. 0.86 1.18 3.36 0.91 1.18 0.77
time (sec) N/A 0.009 0.008 0.003 0.769 0.291 1.116 0.265 7.453




















Problem 219 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C C F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 131 131 58 81 0 0 36 0 119
normalized size 1 1. 0.44 0.62 0. 0. 0.27 0. 0.91
time (sec) N/A 0.182 0.052 0.024 0. 0. 3.484 0. 16.51




















Problem 220 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C C F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 54 54 57 62 0 0 0 0 48
normalized size 1 1. 1.06 1.15 0. 0. 0. 0. 0.89
time (sec) N/A 0.042 0.029 0.038 0. 0. 0. 0. 8.723




















Problem 221 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 22 22 28 19 14 1 0 41 20
normalized size 1 1. 1.27 0.86 0.64 0.05 0. 1.86 0.91
time (sec) N/A 0.025 0.012 0.008 0.783 0.281 0. 0.267 8.992




















Problem 222 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C C F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 159 159 74 116 0 0 0 0 148
normalized size 1 1. 0.47 0.73 0. 0. 0. 0. 0.93
time (sec) N/A 0.12 0.034 0.044 0. 0. 0. 0. 15.962




















Problem 223 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 21 21 21 18 31 66 0 30 19
normalized size 1 1. 1. 0.86 1.48 3.14 0. 1.43 0.9
time (sec) N/A 0.015 0.01 0.006 0.775 0.289 0. 0.262 7.871




















Problem 224 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 25 25 25 31 38 26 0 16 22
normalized size 1 1. 1. 1.24 1.52 1.04 0. 0.64 0.88
time (sec) N/A 0.01 0.009 0.007 0.795 0.274 0. 0.261 6.526




















Problem 225 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C C F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 292 292 174 1521 0 0 0 0 253
normalized size 1 1. 0.6 5.21 0. 0. 0. 0. 0.87
time (sec) N/A 0.425 0.57 0.376 0. 0. 0. 0. 19.26




















Problem 226 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 260 260 134 270 0 0 0 0 233
normalized size 1 1. 0.52 1.04 0. 0. 0. 0. 0.9
time (sec) N/A 0.144 0.131 0.029 0. 0. 0. 0. 15.011




















Problem 227 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A C F A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 23 23 22 321 0 1 14 47 20
normalized size 1 1. 0.96 13.96 0. 0.04 0.61 2.04 0.87
time (sec) N/A 0.047 0.025 0.086 0. 0.326 3.653 0.264 6.193




















Problem 228 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A C F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 116 116 106 232 0 0 0 0 100
normalized size 1 1. 0.91 2. 0. 0. 0. 0. 0.86
time (sec) N/A 0.148 0.166 0.146 0. 0. 0. 0. 9.04




















Problem 229 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 24 24 24 19 0 1 0 42 24
normalized size 1 1. 1. 0.79 0. 0.04 0. 1.75 1.
time (sec) N/A 0.026 0.018 0.007 0. 0.285 0. 0.264 8.479




















Problem 230 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C C F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 312 312 165 1784 0 0 0 0 282
normalized size 1 1. 0.53 5.72 0. 0. 0. 0. 0.9
time (sec) N/A 0.445 0.462 0.096 0. 0. 0. 0. 21.17




















Problem 231 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 281 281 146 353 0 0 0 0 255
normalized size 1 1. 0.52 1.26 0. 0. 0. 0. 0.91
time (sec) N/A 0.174 0.397 0.032 0. 0. 0. 0. 17.468




















Problem 232 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F(-2) F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 37 37 53 0 0 0 0 0 36
normalized size 1 1. 1.43 0. 0. 0. 0. 0. 0.97
time (sec) N/A 0.031 0.049 0.102 0. 0. 0. 0. 8.883




















Problem 233 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F F(-2) F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 48 48 40 35 0 0 0 0 42
normalized size 1 1. 0.83 0.73 0. 0. 0. 0. 0.88
time (sec) N/A 0.033 0.027 0.063 0. 0. 0. 0. 9.176




















Problem 234 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F F(-2) F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 52 52 44 37 0 0 0 0 44
normalized size 1 1. 0.85 0.71 0. 0. 0. 0. 0.85
time (sec) N/A 0.036 0.029 0.089 0. 0. 0. 0. 9.072




















Problem 235 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A C A A A F(-2) F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 34 80 33 30 24 0 0 0 70
normalized size 1 2.35 0.97 0.88 0.71 0. 0. 0. 2.06
time (sec) N/A 0.065 0.059 0.037 0.844 0. 0. 0. 21.985




















Problem 236 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C A F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 114 114 106 191 0 0 0 0 95
normalized size 1 1. 0.93 1.68 0. 0. 0. 0. 0.83
time (sec) N/A 0.231 0.303 0.084 0. 0. 0. 0. 27.888




















Problem 237 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F(-2) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 16 16 16 17 23 27 0 27 22
normalized size 1 1. 1. 1.06 1.44 1.69 0. 1.69 1.38
time (sec) N/A 0.013 0.005 0.002 0.706 0.28 0. 0.262 2.029




















Problem 238 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 26 26 26 27 43 43 0 43 41
normalized size 1 1. 1. 1.04 1.65 1.65 0. 1.65 1.58
time (sec) N/A 0.021 0.011 0.003 0.723 0.334 0. 0.266 7.156




















Problem 239 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 36 36 36 37 59 59 0 59 60
normalized size 1 1. 1. 1.03 1.64 1.64 0. 1.64 1.67
time (sec) N/A 0.032 0.017 0.003 0.757 0.299 0. 0.265 20.952




















Problem 240 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 147 147 140 90 0 127 0 0 121
normalized size 1 1. 0.95 0.61 0. 0.86 0. 0. 0.82
time (sec) N/A 0.251 0.154 0.007 0. 0.296 0. 0. 27.527




















Problem 241 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 95 95 100 66 0 95 0 0 76
normalized size 1 1. 1.05 0.69 0. 1. 0. 0. 0.8
time (sec) N/A 0.151 0.099 0.004 0. 0.273 0. 0. 17.496




















Problem 242 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A A F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 47 47 63 40 0 39 136 0 32
normalized size 1 1. 1.34 0.85 0. 0.83 2.89 0. 0.68
time (sec) N/A 0.082 0.077 0.003 0. 0.275 2.468 0. 5.574




















Problem 243 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A F F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 97 97 75 73 0 1 0 0 76
normalized size 1 1. 0.77 0.75 0. 0.01 0. 0. 0.78
time (sec) N/A 0.197 0.077 0.008 0. 0.342 0. 0. 18.061




















Problem 244 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A F F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 103 103 81 88 0 1 0 0 76
normalized size 1 1. 0.79 0.85 0. 0.01 0. 0. 0.74
time (sec) N/A 0.199 0.18 0.02 0. 0.314 0. 0. 18.621




















Problem 245 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A C F A F F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 228 228 167 604 0 2361 0 0 197
normalized size 1 1. 0.73 2.65 0. 10.36 0. 0. 0.86
time (sec) N/A 0.752 0.185 0.027 0. 0.309 0. 0. 61.866




















Problem 246 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A C F A F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 165 165 124 431 0 1385 0 0 0
normalized size 1 1. 0.75 2.61 0. 8.39 0. 0. 0.
time (sec) N/A 0.45 0.288 0.015 0. 0.313 0. 0. 0.




















Problem 247 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F A A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 63 114 93 377 0 711 388 0 0
normalized size 1 1.81 1.48 5.98 0. 11.29 6.16 0. 0.
time (sec) N/A 0.216 0.123 0.01 0. 0.275 3.598 0. 0.




















Problem 248 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A C F A F F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 133 133 140 258 0 1 0 0 119
normalized size 1 1. 1.05 1.94 0. 0.01 0. 0. 0.89
time (sec) N/A 0.543 0.138 0.015 0. 0.308 0. 0. 46.321




















Problem 249 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A C F A F F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 141 141 153 274 0 1 0 0 124
normalized size 1 1. 1.09 1.94 0. 0.01 0. 0. 0.88
time (sec) N/A 0.533 0.315 0.017 0. 0.307 0. 0. 44.242




















Problem 250 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A F F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 375 375 138 294 0 281 0 0 342
normalized size 1 1. 0.37 0.78 0. 0.75 0. 0. 0.91
time (sec) N/A 0.733 0.536 0.007 0. 0.279 0. 0. 78.833




















Problem 251 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 261 261 93 222 0 215 942 0 236
normalized size 1 1. 0.36 0.85 0. 0.82 3.61 0. 0.9
time (sec) N/A 0.505 0.398 0.004 0. 0.276 7.275 0. 53.056




















Problem 252 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A B A B F A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 64 151 55 146 0 143 384 0 124
normalized size 1 2.36 0.86 2.28 0. 2.23 6. 0. 1.94
time (sec) N/A 0.213 0.252 0.004 0. 0.263 6.798 0. 25.823




















Problem 253 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A F F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 157 157 142 181 0 1 0 0 138
normalized size 1 1. 0.9 1.15 0. 0.01 0. 0. 0.88
time (sec) N/A 0.464 0.242 0.005 0. 0.311 0. 0. 34.081




















Problem 254 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A F F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 162 223 112 252 0 1 0 0 196
normalized size 1 1.38 0.69 1.56 0. 0.01 0. 0. 1.21
time (sec) N/A 0.565 0.512 0.004 0. 0.318 0. 0. 41.008




















Problem 255 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 21 21 19 14 0 18 63 18 17
normalized size 1 1. 0.9 0.67 0. 0.86 3. 0.86 0.81
time (sec) N/A 0.014 0.022 0.003 0. 0.308 1.414 0.292 1.425




















Problem 256 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 21 21 19 14 0 18 63 18 17
normalized size 1 1. 0.9 0.67 0. 0.86 3. 0.86 0.81
time (sec) N/A 0.014 0.023 0.002 0. 0.273 1.441 0.278 1.47




















Problem 257 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 23 23 31 16 0 20 51 20 15
normalized size 1 1. 1.35 0.7 0. 0.87 2.22 0.87 0.65
time (sec) N/A 0.04 0.022 0.002 0. 0.264 1.485 0.28 2.575




















Problem 258 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F(-1) A F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 38 38 44 33 42 109 0 76 0
normalized size 1 1. 1.16 0.87 1.11 2.87 0. 2. 0.
time (sec) N/A 0.197 0.048 0.006 0.792 0.276 0. 0.281 0.




















Problem 259 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 48 48 55 59 46 184 194 84 0
normalized size 1 1. 1.15 1.23 0.96 3.83 4.04 1.75 0.
time (sec) N/A 0.168 0.067 0.009 0.79 0.268 107.557 0.283 0.




















Problem 260 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 19 19 24 24 20 78 99 36 0
normalized size 1 1. 1.26 1.26 1.05 4.11 5.21 1.89 0.
time (sec) N/A 0.097 0.022 0.004 0.785 0.268 53.024 0.286 0.




















Problem 261 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 19 19 33 58 23 117 42 43 0
normalized size 1 1. 1.74 3.05 1.21 6.16 2.21 2.26 0.
time (sec) N/A 0.044 0.022 0.007 0.784 0.275 30.079 0.283 0.




















Problem 262 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A B A A A F F(-2) F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 32 32 84 51 55 105 0 0 0
normalized size 1 1. 2.62 1.59 1.72 3.28 0. 0. 0.
time (sec) N/A 0.166 0.04 0.009 0.791 0.279 0. 0. 0.




















Problem 263 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B A A F A F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 26 26 35 50 32 78 0 201 0
normalized size 1 1. 1.35 1.92 1.23 3. 0. 7.73 0.
time (sec) N/A 0.139 0.047 0.016 0.771 0.27 0. 0.299 0.




















Problem 264 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A B A A A F F(-2) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 34 34 88 58 73 105 0 0 0
normalized size 1 1. 2.59 1.71 2.15 3.09 0. 0. 0.
time (sec) N/A 0.168 0.056 0.017 0.776 0.294 0. 0. 0.




















Problem 265 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A F F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 147 147 157 90 0 165 0 0 121
normalized size 1 1. 1.07 0.61 0. 1.12 0. 0. 0.82
time (sec) N/A 0.233 0.205 0.005 0. 0.288 0. 0. 27.479




















Problem 266 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A F F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 95 95 113 66 0 124 0 0 76
normalized size 1 1. 1.19 0.69 0. 1.31 0. 0. 0.8
time (sec) N/A 0.182 0.107 0.004 0. 0.271 0. 0. 18.571




















Problem 267 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A F F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 47 47 71 40 0 68 0 0 32
normalized size 1 1. 1.51 0.85 0. 1.45 0. 0. 0.68
time (sec) N/A 0.099 0.08 0.004 0. 0.275 0. 0. 7.234




















Problem 268 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A F F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 97 97 75 73 0 1 0 0 76
normalized size 1 1. 0.77 0.75 0. 0.01 0. 0. 0.78
time (sec) N/A 0.15 0.062 0.005 0. 0.28 0. 0. 13.175




















Problem 269 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A F F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 103 103 81 88 0 1 0 0 76
normalized size 1 1. 0.79 0.85 0. 0.01 0. 0. 0.74
time (sec) N/A 0.193 0.12 0.006 0. 0.291 0. 0. 17.41




















Problem 270 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A F F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 171 171 123 120 0 1 0 0 128
normalized size 1 1. 0.72 0.7 0. 0.01 0. 0. 0.75
time (sec) N/A 0.247 0.183 0.015 0. 0.311 0. 0. 24.621




















Problem 271 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F A F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 195 195 168 517 0 1 0 0 0
normalized size 1 1. 0.86 2.65 0. 0.01 0. 0. 0.
time (sec) N/A 0.644 0.161 0.019 0. 0.325 0. 0. 0.




















Problem 272 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F A F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 142 142 132 385 0 1 0 0 0
normalized size 1 1. 0.93 2.71 0. 0.01 0. 0. 0.
time (sec) N/A 0.448 0.276 0.009 0. 0.295 0. 0. 0.




















Problem 273 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A C F A F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 135 135 128 266 0 1 0 0 0
normalized size 1 1. 0.95 1.97 0. 0.01 0. 0. 0.
time (sec) N/A 0.453 0.179 0.018 0. 0.318 0. 0. 0.




















Problem 274 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A C F A F F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 138 138 127 272 0 1 0 0 121
normalized size 1 1. 0.92 1.97 0. 0.01 0. 0. 0.88
time (sec) N/A 0.337 0.084 0.017 0. 0.302 0. 0. 33.632




















Problem 275 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A C F A F F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 123 123 130 313 0 753 0 0 94
normalized size 1 1. 1.06 2.54 0. 6.12 0. 0. 0.76
time (sec) N/A 0.453 0.213 0.017 0. 0.284 0. 0. 28.166




















Problem 276 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A C F A F F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 174 174 164 457 0 1432 0 0 150
normalized size 1 1. 0.94 2.63 0. 8.23 0. 0. 0.86
time (sec) N/A 0.537 0.437 0.019 0. 0.286 0. 0. 36.183




















Problem 277 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A F F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 277 277 114 246 0 304 0 0 253
normalized size 1 1. 0.41 0.89 0. 1.1 0. 0. 0.91
time (sec) N/A 0.609 0.51 0.005 0. 0.267 0. 0. 58.306




















Problem 278 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A F F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 163 163 80 172 0 225 0 0 144
normalized size 1 1. 0.49 1.06 0. 1.38 0. 0. 0.88
time (sec) N/A 0.437 0.34 0.005 0. 0.274 0. 0. 35.166




















Problem 279 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A F F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 155 155 127 148 0 1 0 0 131
normalized size 1 1. 0.82 0.95 0. 0.01 0. 0. 0.85
time (sec) N/A 0.396 0.286 0.005 0. 0.28 0. 0. 32.873




















Problem 280 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A F F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 157 223 143 237 0 1 0 0 199
normalized size 1 1.42 0.91 1.51 0. 0.01 0. 0. 1.27
time (sec) N/A 0.451 0.235 0.005 0. 0.293 0. 0. 38.562




















Problem 281 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F A F F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 164 275 146 300 0 1 0 0 236
normalized size 1 1.68 0.89 1.83 0. 0.01 0. 0. 1.44
time (sec) N/A 0.41 0.275 0.004 0. 0.297 0. 0. 43.372




















Problem 282 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 31 31 31 63 31 138 48 51 0
normalized size 1 1. 1. 2.03 1. 4.45 1.55 1.65 0.
time (sec) N/A 0.082 0.022 0.002 0.767 0.299 6.66 0.302 0.




















Problem 283 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F(-1) A F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 38 38 44 33 42 109 0 76 0
normalized size 1 1. 1.16 0.87 1.11 2.87 0. 2. 0.
time (sec) N/A 0.614 0.044 0.003 0.766 0.272 0. 0.288 0.




















Problem 284 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 48 48 56 59 46 184 219 84 0
normalized size 1 1. 1.17 1.23 0.96 3.83 4.56 1.75 0.
time (sec) N/A 0.567 0.059 0.002 0.764 0.274 147.376 0.292 0.




















Problem 285 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 21 21 24 26 23 78 110 39 0
normalized size 1 1. 1.14 1.24 1.1 3.71 5.24 1.86 0.
time (sec) N/A 0.227 0.023 0.002 0.761 0.268 72.587 0.299 0.




















Problem 286 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 22 22 34 59 27 119 46 45 0
normalized size 1 1. 1.55 2.68 1.23 5.41 2.09 2.05 0.
time (sec) N/A 0.093 0.023 0.002 0.769 0.277 39.257 0.292 0.




















Problem 287 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A B A A A F F(-2) F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 32 32 84 51 55 105 0 0 0
normalized size 1 1. 2.62 1.59 1.72 3.28 0. 0. 0.
time (sec) N/A 0.381 0.041 0.003 0.769 0.266 0. 0. 0.




















Problem 288 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B A A F A F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 26 26 35 50 32 78 0 201 0
normalized size 1 1. 1.35 1.92 1.23 3. 0. 7.73 0.
time (sec) N/A 0.412 0.041 0.002 0.765 0.277 0. 0.316 0.




















Problem 289 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A B A A A F F(-2) F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 33 33 85 57 69 104 0 0 0
normalized size 1 1. 2.58 1.73 2.09 3.15 0. 0. 0.
time (sec) N/A 0.451 0.057 0.003 0.765 0.271 0. 0. 0.




















Problem 290 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A B A F A F F(-2) F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 28 28 82 48 0 105 0 0 0
normalized size 1 1. 2.93 1.71 0. 3.75 0. 0. 0.
time (sec) N/A 0.586 0.043 0.004 0. 0.267 0. 0. 0.




















Problem 291 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 33 33 42 62 0 126 226 57 0
normalized size 1 1. 1.27 1.88 0. 3.82 6.85 1.73 0.
time (sec) N/A 0.251 0.029 0.008 0. 0.308 48.769 0.311 0.




















Problem 292 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F(-1) F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 121 121 0 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.235 0.124 0.02 0. 0. 0. 0. 0.




















Problem 293 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 175 175 143 175 0 217 279 220 0
normalized size 1 1. 0.82 1. 0. 1.24 1.59 1.26 0.
time (sec) N/A 0.283 0.598 0.018 0. 0.291 25.469 0.289 0.




















Problem 294 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 136 136 102 126 0 154 116 139 0
normalized size 1 1. 0.75 0.93 0. 1.13 0.85 1.02 0.
time (sec) N/A 0.228 0.393 0.007 0. 0.292 8.606 0.286 0.




















Problem 295 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 68 68 81 75 0 100 54 88 0
normalized size 1 1. 1.19 1.1 0. 1.47 0.79 1.29 0.
time (sec) N/A 0.07 0.079 0.006 0. 0.283 7.182 0.283 0.




















Problem 296 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 117 117 141 1325 0 252 0 0 102
normalized size 1 1. 1.21 11.32 0. 2.15 0. 0. 0.87
time (sec) N/A 0.203 0.225 0.043 0. 0.303 0. 0. 22.418




















Problem 297 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F A F F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 151 151 248 4136 0 383 0 0 136
normalized size 1 1. 1.64 27.39 0. 2.54 0. 0. 0.9
time (sec) N/A 0.256 0.655 0.042 0. 0.304 0. 0. 39.648




















Problem 298 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F A F F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 193 193 309 9721 0 724 0 0 178
normalized size 1 1. 1.6 50.37 0. 3.75 0. 0. 0.92
time (sec) N/A 0.288 1.154 0.064 0. 0.366 0. 0. 46.169




















Problem 299 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F A F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 268 268 0 0 0 1 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.477 0.631 0.043 0. 0.349 0. 0. 0.




















Problem 300 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F A F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 229 229 0 0 0 1 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.44 0.222 0.024 0. 0.342 0. 0. 0.




















Problem 301 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 191 191 139 0 0 1 0 0 0
normalized size 1 1. 0.73 0. 0. 0.01 0. 0. 0.
time (sec) N/A 0.376 0.412 0.01 0. 0.337 0. 0. 0.




















Problem 302 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 147 147 141 0 0 1 0 0 0
normalized size 1 1. 0.96 0. 0. 0.01 0. 0. 0.
time (sec) N/A 0.242 0.672 0.02 0. 0.334 0. 0. 0.




















Problem 303 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F A F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 158 158 0 0 0 1 0 0 0
normalized size 1 1. 0. 0. 0. 0.01 0. 0. 0.
time (sec) N/A 0.342 0.404 0.013 0. 0.343 0. 0. 0.




















Problem 304 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F A F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 199 199 0 0 0 1 0 0 0
normalized size 1 1. 0. 0. 0. 0.01 0. 0. 0.
time (sec) N/A 0.422 0.722 0.013 0. 0.357 0. 0. 0.




















Problem 305 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 41 41 34 0 0 41 42 0 0
normalized size 1 1. 0.83 0. 0. 1. 1.02 0. 0.
time (sec) N/A 0.032 0.024 0.051 0. 0.28 0.903 0. 0.




















Problem 306 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 69 69 57 0 0 130 0 0 0
normalized size 1 1. 0.83 0. 0. 1.88 0. 0. 0.
time (sec) N/A 0.108 0.133 0.028 0. 0.332 0. 0. 0.




















Problem 307 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A C F A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 45 45 35 60 0 46 413 0 36
normalized size 1 1. 0.78 1.33 0. 1.02 9.18 0. 0.8
time (sec) N/A 0.025 0.09 0.12 0. 0.295 3.913 0. 1.18




















Problem 308 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A C F A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 41 41 44 55 0 38 197 0 36
normalized size 1 1. 1.07 1.34 0. 0.93 4.8 0. 0.88
time (sec) N/A 0.019 0.081 0.04 0. 0.291 3.866 0. 1.157




















Problem 309 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A C F A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 41 41 44 64 0 41 197 0 36
normalized size 1 1. 1.07 1.56 0. 1. 4.8 0. 0.88
time (sec) N/A 0.02 0.082 0.022 0. 0.288 3.931 0. 1.145




















Problem 310 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 66 66 55 0 0 95 0 0 60
normalized size 1 1. 0.83 0. 0. 1.44 0. 0. 0.91
time (sec) N/A 0.076 0.306 0.026 0. 0.352 0. 0. 2.372




















Problem 311 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F(-1) F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 166 166 0 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.386 0.204 0.024 0. 0. 0. 0. 0.




















Problem 312 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F A F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 303 303 255 685 0 466 0 504 0
normalized size 1 1. 0.84 2.26 0. 1.54 0. 1.66 0.
time (sec) N/A 0.769 0.412 0.022 0. 0.321 0. 0.284 0.




















Problem 313 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 237 237 179 409 0 296 0 302 0
normalized size 1 1. 0.76 1.73 0. 1.25 0. 1.27 0.
time (sec) N/A 0.604 0.293 0.01 0. 0.301 0. 0.28 0.




















Problem 314 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 118 118 120 173 0 166 0 150 0
normalized size 1 1. 1.02 1.47 0. 1.41 0. 1.27 0.
time (sec) N/A 0.129 0.4 0.007 0. 0.289 0. 0.274 0.




















Problem 315 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 215 215 275 4918 0 501 0 0 187
normalized size 1 1. 1.28 22.87 0. 2.33 0. 0. 0.87
time (sec) N/A 0.449 0.551 0.075 0. 4.613 0. 0. 136.281




















Problem 316 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 266 266 421 58067 0 1115 0 4 262
normalized size 1 1. 1.58 218.3 0. 4.19 0. 0.02 0.98
time (sec) N/A 0.548 1.025 0.069 0. 2.436 0. 1.046 71.472




















Problem 317 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A B B F A F(-1) F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 330 330 665 295147 0 2638 0 0 306
normalized size 1 1. 2.02 894.38 0. 7.99 0. 0. 0.93
time (sec) N/A 0.701 1.541 0.205 0. 10.594 0. 0. 117.511




















Problem 318 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F A F(-1) F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 436 436 0 0 0 1 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 1.414 0.797 0.045 0. 0.528 0. 0. 0.




















Problem 319 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F A F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 370 370 0 0 0 1 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 1.018 0.428 0.023 0. 0.497 0. 0. 0.




















Problem 320 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 315 315 222 0 0 1 0 0 0
normalized size 1 1. 0.7 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.864 0.733 0.012 0. 0.502 0. 0. 0.




















Problem 321 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 244 244 238 0 0 1 0 0 0
normalized size 1 1. 0.98 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.629 1.537 0.022 0. 0.499 0. 0. 0.




















Problem 322 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F A F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 269 269 0 0 0 1 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.961 0.805 0.015 0. 0.526 0. 0. 0.




















Problem 323 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F A F A F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 335 335 0 0 0 1 0 4 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.01 0.
time (sec) N/A 1.378 1.13 0.015 0. 0.834 0. 1.414 0.




















Problem 324 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A B C F A F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 164 164 338 216 0 213 0 0 0
normalized size 1 1. 2.06 1.32 0. 1.3 0. 0. 0.
time (sec) N/A 0.205 2.756 0.103 0. 0.314 0. 0. 0.




















Problem 325 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A C F A F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 108 108 202 167 0 105 0 0 0
normalized size 1 1. 1.87 1.55 0. 0.97 0. 0. 0.
time (sec) N/A 0.125 0.36 0.015 0. 0.319 0. 0. 0.




















Problem 326 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 52 52 36 120 0 43 2147 0 0
normalized size 1 1. 0.69 2.31 0. 0.83 41.29 0. 0.
time (sec) N/A 0.045 0.027 0.012 0. 0.324 13.182 0. 0.




















Problem 327 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F F A
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 59 59 0 0 0 0 0 0 46
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.78
time (sec) N/A 0.123 0.04 0.033 0. 0. 0. 0. 12.277




















Problem 328 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 59 59 0 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.114 0.042 0.025 0. 0. 0. 0. 0.




















Problem 329 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A B F F A F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 176 176 361 0 0 215 0 0 0
normalized size 1 1. 2.05 0. 0. 1.22 0. 0. 0.
time (sec) N/A 0.203 3.111 0.047 0. 0.317 0. 0. 0.




















Problem 330 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 116 116 211 0 0 107 0 0 0
normalized size 1 1. 1.82 0. 0. 0.92 0. 0. 0.
time (sec) N/A 0.126 0.37 0.024 0. 0.335 0. 0. 0.




















Problem 331 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 56 56 39 0 0 45 0 0 0
normalized size 1 1. 0.7 0. 0. 0.8 0. 0. 0.
time (sec) N/A 0.045 0.024 0.024 0. 0.299 0. 0. 0.




















Problem 332 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F F A
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 63 63 0 0 0 0 0 0 46
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.73
time (sec) N/A 0.124 0.041 0.038 0. 0. 0. 0. 12.717




















Problem 333 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 63 63 0 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.116 0.042 0.04 0. 0. 0. 0. 0.




















Problem 334 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A B F F A F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 187 187 659 0 0 271 0 0 0
normalized size 1 1. 3.52 0. 0. 1.45 0. 0. 0.
time (sec) N/A 0.224 15.851 0.025 0. 0.299 0. 0. 0.




















Problem 335 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A B F F A F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 131 131 355 0 0 149 0 0 0
normalized size 1 1. 2.71 0. 0. 1.14 0. 0. 0.
time (sec) N/A 0.176 4.061 0.024 0. 0.295 0. 0. 0.




















Problem 336 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 75 75 104 0 0 65 0 0 0
normalized size 1 1. 1.39 0. 0. 0.87 0. 0. 0.
time (sec) N/A 0.133 0.763 0.024 0. 0.302 0. 0. 0.




















Problem 337 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 17 17 17 0 20 20 311 0 12
normalized size 1 1. 1. 0. 1.18 1.18 18.29 0. 0.71
time (sec) N/A 0.09 0.029 0.028 0.728 0.293 14.365 0. 9.211




















Problem 338 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 59 59 0 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.12 0.048 0.025 0. 0. 0. 0. 0.




















Problem 339 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F(-1) F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 59 59 0 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.122 0.049 0.028 0. 0. 0. 0. 0.




















Problem 340 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A B F F A F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 201 201 692 0 0 275 0 0 0
normalized size 1 1. 3.44 0. 0. 1.37 0. 0. 0.
time (sec) N/A 0.216 17.573 0.039 0. 0.303 0. 0. 0.




















Problem 341 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A B F F A F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 141 141 366 0 0 153 0 0 0
normalized size 1 1. 2.6 0. 0. 1.09 0. 0. 0.
time (sec) N/A 0.18 3.19 0.04 0. 0.298 0. 0. 0.




















Problem 342 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 81 81 112 0 0 69 0 0 0
normalized size 1 1. 1.38 0. 0. 0.85 0. 0. 0.
time (sec) N/A 0.139 0.849 0.039 0. 0.323 0. 0. 0.




















Problem 343 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 20 20 20 0 24 24 36 0 14
normalized size 1 1. 1. 0. 1.2 1.2 1.8 0. 0.7
time (sec) N/A 0.095 0.031 0.042 0.739 0.313 10.388 0. 9.917




















Problem 344 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 63 63 0 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.126 0.051 0.039 0. 0. 0. 0. 0.




















Problem 345 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F(-1) F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 63 63 0 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.125 0.05 0.039 0. 0. 0. 0. 0.




















Problem 346 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F A F(-1) F F(-1)
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 365 365 0 0 0 883 0 0 0
normalized size 1 1. 0. 0. 0. 2.42 0. 0. 0.
time (sec) N/A 0.864 0.646 0.124 0. 0.332 0. 0. 0.




















Problem 347 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F A F(-1) F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 239 239 0 0 0 323 0 0 0
normalized size 1 1. 0. 0. 0. 1.35 0. 0. 0.
time (sec) N/A 0.483 0.228 0.016 0. 0.327 0. 0. 0.




















Problem 348 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F A F(-1) F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 107 107 0 0 0 108 0 0 0
normalized size 1 1. 0. 0. 0. 1.01 0. 0. 0.
time (sec) N/A 0.173 0.06 0.015 0. 0.346 0. 0. 0.




















Problem 349 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F(-1) F A
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 122 122 0 0 0 0 0 0 110
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.9
time (sec) N/A 0.486 0.152 0.133 0. 0. 0. 0. 111.889




















Problem 350 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F(-1) F F(-1)
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 122 122 0 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.439 0.158 0.107 0. 0. 0. 0. 0.




















Problem 351 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F A F(-1) F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 107 107 0 0 0 108 0 0 0
normalized size 1 1. 0. 0. 0. 1.01 0. 0. 0.
time (sec) N/A 0.235 0.083 0.014 0. 0.303 0. 0. 0.




















Problem 352 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F(-1) F F(-1)
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 122 122 0 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.766 0.106 0.105 0. 0. 0. 0. 0.




















Problem 353 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F A F(-1) F F(-1)
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 297 297 0 0 0 509 0 0 0
normalized size 1 1. 0. 0. 0. 1.71 0. 0. 0.
time (sec) N/A 0.729 0.434 0.108 0. 0.308 0. 0. 0.




















Problem 354 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F A F(-1) F F(-1)
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 171 171 0 0 0 165 0 0 0
normalized size 1 1. 0. 0. 0. 0.96 0. 0. 0.
time (sec) N/A 0.561 0.113 0.104 0. 0.306 0. 0. 0.




















Problem 355 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F A A F(-1) F A
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 41 41 0 0 47 55 0 0 37
normalized size 1 1. 0. 0. 1.15 1.34 0. 0. 0.9
time (sec) N/A 0.388 0.199 0.109 0.85 0.324 0. 0. 96.165




















Problem 356 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F(-1) F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 122 122 0 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.497 0.298 0.111 0. 0. 0. 0. 0.




















Problem 357 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F A A F(-1) F A
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 41 41 0 0 47 55 0 0 37
normalized size 1 1. 0. 0. 1.15 1.34 0. 0. 0.9
time (sec) N/A 0.668 0.123 0.111 0.851 0.313 0. 0. 109.276




















Problem 358 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F A F F F(-1)
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 327 327 0 0 0 312 0 0 0
normalized size 1 1. 0. 0. 0. 0.95 0. 0. 0.
time (sec) N/A 1.052 0.123 0.114 0. 0.324 0. 0. 0.




















Problem 359 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F A A F F F(-1)
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 93 93 0 0 51 158 0 0 0
normalized size 1 1. 0. 0. 0.55 1.7 0. 0. 0.
time (sec) N/A 0.839 0.134 0.11 0.812 0.311 0. 0. 0.




















Problem 360 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F(-1) F F(-1)
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 177 177 0 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.945 0.225 0.115 0. 0. 0. 0. 0.




















Problem 361 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F A A F(-1) F F(-1)
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 93 93 0 0 51 158 0 0 0
normalized size 1 1. 0. 0. 0.55 1.7 0. 0. 0.
time (sec) N/A 1.128 0.124 0.118 0.818 0.313 0. 0. 0.




















Problem 362 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F F(-1) F F A
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 191 191 0 352 0 0 0 0 264
normalized size 1 1. 0. 1.84 0. 0. 0. 0. 1.38
time (sec) N/A 1.222 0.801 0.094 0. 0. 0. 0. 115.082




















Problem 363 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A B B F A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 81 81 191 394 0 1 70 1 73
normalized size 1 1. 2.36 4.86 0. 0.01 0.86 0.01 0.9
time (sec) N/A 0.114 0.188 0.07 0. 0.3 2.45 0.762 70.632




















Problem 364 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 73 73 233 394 0 1 63 1 66
normalized size 1 1. 3.19 5.4 0. 0.01 0.86 0.01 0.9
time (sec) N/A 0.088 0.218 0.069 0. 0.285 2.51 0.749 68.975




















Problem 365 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C C F A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 38 38 87 70 0 1 70 0 36
normalized size 1 1. 2.29 1.84 0. 0.03 1.84 0. 0.95
time (sec) N/A 0.105 0.093 0.012 0. 0.286 3.055 0. 46.309




















Problem 366 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C C F A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 38 38 87 70 0 1 63 0 36
normalized size 1 1. 2.29 1.84 0. 0.03 1.66 0. 0.95
time (sec) N/A 0.104 0.093 0.013 0. 0.284 3.089 0. 47.91




















Problem 367 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F A F(-1) F A
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 38 38 0 78 0 1 0 0 44
normalized size 1 1. 0. 2.05 0. 0.03 0. 0. 1.16
time (sec) N/A 0.156 0.151 0.073 0. 0.323 0. 0. 69.674




















Problem 368 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F A F(-1) F A
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 38 38 0 72 0 1 0 0 44
normalized size 1 1. 0. 1.89 0. 0.03 0. 0. 1.16
time (sec) N/A 0.153 0.142 0.074 0. 0.307 0. 0. 74.107




















Problem 369 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 42 42 42 42 0 1 78 51 37
normalized size 1 1. 1. 1. 0. 0.02 1.86 1.21 0.88
time (sec) N/A 0.129 0.032 0.008 0. 0.3 1.872 0.343 43.465




















Problem 370 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 44 44 46 42 0 1 75 55 39
normalized size 1 1. 1.05 0.95 0. 0.02 1.7 1.25 0.89
time (sec) N/A 0.135 0.036 0.004 0. 0.284 2.008 0.346 44.447




















Problem 371 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C C F A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 40 40 85 74 0 1 90 0 37
normalized size 1 1. 2.12 1.85 0. 0.02 2.25 0. 0.92
time (sec) N/A 0.205 0.076 0.419 0. 0.286 4.235 0. 64.986




















Problem 372 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C C F A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 40 40 85 77 0 1 80 0 37
normalized size 1 1. 2.12 1.92 0. 0.02 2. 0. 0.92
time (sec) N/A 0.206 0.083 0.377 0. 0.288 4.305 0. 68.405




















Problem 373 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 42 61 42 78 0 1 0 0 37
normalized size 1 1.45 1. 1.86 0. 0.02 0. 0. 0.88
time (sec) N/A 0.341 0.084 0.09 0. 0.3 0. 0. 106.903




















Problem 374 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 42 61 42 74 0 1 0 0 37
normalized size 1 1.45 1. 1.76 0. 0.02 0. 0. 0.88
time (sec) N/A 0.333 0.075 0.09 0. 0.298 0. 0. 116.428




















Problem 375 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C C F A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 40 40 86 74 0 1 73 0 41
normalized size 1 1. 2.15 1.85 0. 0.02 1.82 0. 1.02
time (sec) N/A 0.142 0.077 0.013 0. 0.283 4.453 0. 48.598




















Problem 376 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C C F A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 40 40 86 74 0 1 66 0 41
normalized size 1 1. 2.15 1.85 0. 0.02 1.65 0. 1.02
time (sec) N/A 0.145 0.074 0.013 0. 0.303 4.445 0. 50.062




















Problem 377 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 42 42 42 42 0 1 78 51 37
normalized size 1 1. 1. 1. 0. 0.02 1.86 1.21 0.88
time (sec) N/A 0.125 0.032 0.003 0. 0.312 2.465 0.271 47.968




















Problem 378 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 44 44 46 42 0 1 75 55 39
normalized size 1 1. 1.05 0.95 0. 0.02 1.7 1.25 0.89
time (sec) N/A 0.136 0.035 0.002 0. 0.318 2.649 0.271 49.076




















Problem 379 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 42 42 42 78 0 1 0 0 37
normalized size 1 1. 1. 1.86 0. 0.02 0. 0. 0.88
time (sec) N/A 0.349 0.088 0.055 0. 0.321 0. 0. 81.409




















Problem 380 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 42 42 42 74 0 1 0 0 37
normalized size 1 1. 1. 1.76 0. 0.02 0. 0. 0.88
time (sec) N/A 0.34 0.071 0.055 0. 0.331 0. 0. 57.814




















Problem 381 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F A F(-1) F A
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 42 42 0 84 0 1 0 0 63
normalized size 1 1. 0. 2. 0. 0.02 0. 0. 1.5
time (sec) N/A 0.382 0.267 0.111 0. 0.344 0. 0. 74.639




















Problem 382 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F A F(-1) F A
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 42 42 0 78 0 1 0 0 63
normalized size 1 1. 0. 1.86 0. 0.02 0. 0. 1.5
time (sec) N/A 0.374 0.281 0.108 0. 0.335 0. 0. 84.316




















Problem 383 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B A A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 134 134 161 4947 169 315 0 209 0
normalized size 1 1. 1.2 36.92 1.26 2.35 0. 1.56 0.
time (sec) N/A 0.619 0.335 0.086 0.707 0.354 0. 0.277 0.




















Problem 384 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B A A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 69 69 95 3426 84 217 0 97 0
normalized size 1 1. 1.38 49.65 1.22 3.14 0. 1.41 0.
time (sec) N/A 0.372 0.109 0.03 0.702 0.347 0. 0.278 0.




















Problem 385 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 23 23 23 1941 28 142 0 30 17
normalized size 1 1. 1. 84.39 1.22 6.17 0. 1.3 0.74
time (sec) N/A 0.136 0.017 0.026 0.697 0.306 0. 0.274 7.268




















Problem 386 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F A F A F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 88 88 282 2175 0 1 0 127 0
normalized size 1 1. 3.2 24.72 0. 0.01 0. 1.44 0.
time (sec) N/A 0.416 0.917 0.042 0. 0.374 0. 0.281 0.




















Problem 387 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 151 151 430 2459 0 1 0 275 133
normalized size 1 1. 2.85 16.28 0. 0.01 0. 1.82 0.88
time (sec) N/A 0.638 0.946 0.067 0. 0.921 0. 0.279 42.655




















Problem 388 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 147 147 157 3501 0 1 0 244 128
normalized size 1 1. 1.07 23.82 0. 0.01 0. 1.66 0.87
time (sec) N/A 0.479 0.19 0.043 0. 0.423 0. 0.286 45.568




















Problem 389 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 103 103 83 2005 0 1 0 144 87
normalized size 1 1. 0.81 19.47 0. 0.01 0. 1.4 0.84
time (sec) N/A 0.148 0.058 0.031 0. 0.305 0. 0.28 23.846




















Problem 390 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 160 160 139 2289 0 1 0 285 129
normalized size 1 1. 0.87 14.31 0. 0.01 0. 1.78 0.81
time (sec) N/A 0.506 0.171 0.044 0. 0.391 0. 0.284 50.806




















Problem 391 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A C A A F(-1) A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 140 140 161 1473 169 258 0 211 0
normalized size 1 1. 1.15 10.52 1.21 1.84 0. 1.51 0.
time (sec) N/A 0.611 0.266 0.183 0.695 0.277 0. 0.276 0.




















Problem 392 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A C A A F(-1) A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 73 73 95 943 84 159 0 97 0
normalized size 1 1. 1.3 12.92 1.15 2.18 0. 1.33 0.
time (sec) N/A 0.367 0.103 0.021 0.701 0.28 0. 0.272 0.




















Problem 393 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A C A A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 26 26 26 455 30 82 0 31 20
normalized size 1 1. 1. 17.5 1.15 3.15 0. 1.19 0.77
time (sec) N/A 0.177 0.016 0.02 0.691 0.274 0. 0.274 8.797




















Problem 394 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A C F A F(-1) A F(-1)
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 93 93 0 636 0 1 0 127 0
normalized size 1 1. 0. 6.84 0. 0.01 0. 1.37 0.
time (sec) N/A 0.406 0.123 0.048 0. 0.339 0. 0.277 0.




















Problem 395 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C C F A F(-1) A A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 154 154 860 863 0 1 0 275 136
normalized size 1 1. 5.58 5.6 0. 0.01 0. 1.79 0.88
time (sec) N/A 0.618 6.77 0.053 0. 0.394 0. 0.289 42.543




















Problem 396 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A C F F(-1) F(-1) F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 311 311 470 1544 0 0 0 0 280
normalized size 1 1. 1.51 4.96 0. 0. 0. 0. 0.9
time (sec) N/A 1.027 1.497 0.067 0. 0. 0. 0. 91.734




















Problem 397 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A C F F(-1) F(-1) F A
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 304 304 0 619 0 0 0 0 275
normalized size 1 1. 0. 2.04 0. 0. 0. 0. 0.9
time (sec) N/A 0.73 0.148 0.071 0. 0. 0. 0. 77.517




















Problem 398 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A C F F(-1) F(-1) F A
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 300 300 0 619 0 0 0 0 272
normalized size 1 1. 0. 2.06 0. 0. 0. 0. 0.91
time (sec) N/A 0.609 0.05 0.021 0. 0. 0. 0. 83.163




















Problem 399 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A B C F F(-1) F(-1) F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 319 319 1047 3560 0 0 0 0 286
normalized size 1 1. 3.28 11.16 0. 0. 0. 0. 0.9
time (sec) N/A 0.95 6.711 0.052 0. 0. 0. 0. 97.038




















Problem 400 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A B C F F(-1) F(-1) F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 324 324 1044 1789 0 0 0 0 292
normalized size 1 1. 3.22 5.52 0. 0. 0. 0. 0.9
time (sec) N/A 0.955 6.679 0.052 0. 0. 0. 0. 92.392




















Problem 401 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A B F F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 135 135 320 0 0 0 0 0 105
normalized size 1 1. 2.37 0. 0. 0. 0. 0. 0.78
time (sec) N/A 0.216 0.896 0.014 0. 0. 0. 0. 42.494




















Problem 402 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A B F F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 167 167 373 0 0 0 0 0 126
normalized size 1 1. 2.23 0. 0. 0. 0. 0. 0.75
time (sec) N/A 0.456 1.273 0.019 0. 0. 0. 0. 43.14




















Problem 403 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F A A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 27 27 27 0 82 34 0 55 20
normalized size 1 1. 1. 0. 3.04 1.26 0. 2.04 0.74
time (sec) N/A 0.189 0.031 0.021 0.77 0.285 0. 0.385 10.552




















Problem 404 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 8 8 8 7 8 8 7 8 7
normalized size 1 1. 1. 0.88 1. 1. 0.88 1. 0.88
time (sec) N/A 0.01 0.006 0.006 0.797 0.271 0.556 0.277 1.326




















Problem 405 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A B A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 13 13 33 10 28 28 26 30 12
normalized size 1 1. 2.54 0.77 2.15 2.15 2. 2.31 0.92
time (sec) N/A 0.017 0.01 0.008 0.839 0.277 1.234 0.281 2.09




















Problem 406 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 27 27 27 20 26 26 22 27 0
normalized size 1 1. 1. 0.74 0.96 0.96 0.81 1. 0.
time (sec) N/A 0.025 0.013 0.011 0.734 0.27 0.58 0.283 0.




















Problem 407 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B A A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 32 32 32 92 32 32 0 32 0
normalized size 1 1. 1. 2.88 1. 1. 0. 1. 0.
time (sec) N/A 0.03 0.013 0.037 0.695 0.268 0. 0.278 0.




















Problem 408 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 25 25 25 20 26 26 22 26 0
normalized size 1 1. 1. 0.8 1.04 1.04 0.88 1.04 0.
time (sec) N/A 0.024 0.01 0.008 0.745 0.271 0.556 0.281 0.




















Problem 409 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 20 20 20 15 19 19 15 20 15
normalized size 1 1. 1. 0.75 0.95 0.95 0.75 1. 0.75
time (sec) N/A 0.02 0.009 0.002 0.716 0.274 0.341 0.278 1.904




















Problem 410 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 62 62 62 46 61 77 68 61 61
normalized size 1 1. 1. 0.74 0.98 1.24 1.1 0.98 0.98
time (sec) N/A 0.079 0.024 0.006 0.838 0.282 2.478 0.28 5.242




















Problem 411 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B A A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 73 73 73 173 66 66 0 66 0
normalized size 1 1. 1. 2.37 0.9 0.9 0. 0.9 0.
time (sec) N/A 0.056 0.019 0.153 0.732 0.276 0. 0.281 0.




















Problem 412 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 130 130 130 83 111 103 0 111 0
normalized size 1 1. 1. 0.64 0.85 0.79 0. 0.85 0.
time (sec) N/A 0.088 0.029 0.005 0.696 0.273 0. 0.279 0.




















Problem 413 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A F(-2) F A F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 200 200 180 175 367 0 0 188 0
normalized size 1 1. 0.9 0.88 1.84 0. 0. 0.94 0.
time (sec) N/A 0.685 0.237 0.052 0.838 0. 0. 0.379 0.




















Problem 414 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 8 8 8 7 8 8 7 8 7
normalized size 1 1. 1. 0.88 1. 1. 0.88 1. 0.88
time (sec) N/A 0.01 0.005 0.004 0.791 0.279 1.847 0.277 1.347




















Problem 415 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 19 19 19 16 20 20 0 20 0
normalized size 1 1. 1. 0.84 1.05 1.05 0. 1.05 0.
time (sec) N/A 0.029 0.009 0.004 0.69 0.269 0. 0.278 0.




















Problem 416 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 108 108 108 71 112 157 110 112 104
normalized size 1 1. 1. 0.66 1.04 1.45 1.02 1.04 0.96
time (sec) N/A 0.149 0.046 0.007 0.808 0.284 4.888 0.28 10.477




















Problem 417 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 76 76 83 61 81 81 0 81 75
normalized size 1 1. 1.09 0.8 1.07 1.07 0. 1.07 0.99
time (sec) N/A 0.076 0.026 0.006 0.813 0.282 0. 0.286 3.879




















Problem 418 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 119 119 119 76 101 96 0 101 0
normalized size 1 1. 1. 0.64 0.85 0.81 0. 0.85 0.
time (sec) N/A 0.095 0.027 0.005 0.7 0.283 0. 0.29 0.




















Problem 419 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A F(-2) F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 201 201 183 242 396 0 0 189 267
normalized size 1 1. 0.91 1.2 1.97 0. 0. 0.94 1.33
time (sec) N/A 0.518 0.242 0.021 0.831 0. 0. 0.387 122.632




















Problem 420 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 36 36 34 36 20 59 0 212 36
normalized size 1 1. 0.94 1. 0.56 1.64 0. 5.89 1.
time (sec) N/A 0.131 0.133 0.005 0.74 0.288 0. 0.298 5.746




















Problem 421 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 29 29 29 27 7 47 0 170 24
normalized size 1 1. 1. 0.93 0.24 1.62 0. 5.86 0.83
time (sec) N/A 0.131 0.034 0.003 0.782 0.272 0. 0.286 5.264




















Problem 422 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 29 29 29 27 7 45 0 76 22
normalized size 1 1. 1. 0.93 0.24 1.55 0. 2.62 0.76
time (sec) N/A 0.092 0.029 0.003 0.759 0.267 0. 0.282 4.682




















Problem 423 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 25 25 25 25 7 41 0 69 19
normalized size 1 1. 1. 1. 0.28 1.64 0. 2.76 0.76
time (sec) N/A 0.042 0.027 0.003 0.784 0.26 0. 0.282 4.35




















Problem 424 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 24 24 24 24 7 43 0 57 19
normalized size 1 1. 1. 1. 0.29 1.79 0. 2.38 0.79
time (sec) N/A 0.13 0.027 0.003 0.757 0.262 0. 0.287 5.556




















Problem 425 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 29 29 29 27 7 47 0 81 22
normalized size 1 1. 1. 0.93 0.24 1.62 0. 2.79 0.76
time (sec) N/A 0.123 0.034 0.003 0.802 0.265 0. 0.282 5.404




















Problem 426 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F F A
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 80 80 0 0 0 0 0 0 61
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.76
time (sec) N/A 0.149 0.085 0.132 0. 0. 0. 0. 11.366




















Problem 427 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 138 138 134 0 0 0 121 0 105
normalized size 1 1. 0.97 0. 0. 0. 0.88 0. 0.76
time (sec) N/A 0.283 0.131 0.048 0. 0. 16.921 0. 12.722




















Problem 428 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 79 79 88 0 0 0 75 0 58
normalized size 1 1. 1.11 0. 0. 0. 0.95 0. 0.73
time (sec) N/A 0.105 0.049 0.028 0. 0. 10.719 0. 6.479




















Problem 429 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 40 40 50 0 0 0 34 0 29
normalized size 1 1. 1.25 0. 0. 0. 0.85 0. 0.72
time (sec) N/A 0.029 0.013 0.018 0. 0. 4.796 0. 2.05




















Problem 430 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F(-1) F A
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 101 101 0 0 0 0 0 0 66
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.65
time (sec) N/A 0.161 0.041 0.056 0. 0. 0. 0. 10.948




















Problem 431 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F(-1) F A
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 56 56 0 0 0 0 0 0 41
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.73
time (sec) N/A 0.095 0.044 0.059 0. 0. 0. 0. 6.583




















Problem 432 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F(-1) F A
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 112 112 0 0 0 0 0 0 83
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.74
time (sec) N/A 0.166 0.094 0.087 0. 0. 0. 0. 11.276




















Problem 433 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F(-1) F A
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 185 185 0 0 0 0 0 0 162
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.88
time (sec) N/A 0.408 0.224 0.136 0. 0. 0. 0. 21.976




















Problem 434 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 33 33 33 35 11 59 0 0 27
normalized size 1 1. 1. 1.06 0.33 1.79 0. 0. 0.82
time (sec) N/A 0.112 0.093 0.004 0.713 0.279 0. 0. 6.004




















Problem 435 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 31 31 31 31 7 55 0 53 0
normalized size 1 1. 1. 1. 0.23 1.77 0. 1.71 0.
time (sec) N/A 0.121 0.016 0.003 0.726 0.275 0. 0.274 0.




















Problem 436 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 28 28 28 42 9 55 0 0 20
normalized size 1 1. 1. 1.5 0.32 1.96 0. 0. 0.71
time (sec) N/A 0.09 0.028 0.015 0.722 0.268 0. 0. 4.938




















Problem 437 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F A A
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 28 28 0 42 5 69 0 42 26
normalized size 1 1. 0. 1.5 0.18 2.46 0. 1.5 0.93
time (sec) N/A 0.053 0.11 0.011 0.72 0.292 0. 0.275 5.154




















Problem 438 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 26 26 26 28 9 55 0 0 22
normalized size 1 1. 1. 1.08 0.35 2.12 0. 0. 0.85
time (sec) N/A 0.112 0.033 0.004 0.732 0.267 0. 0. 5.984




















Problem 439 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 31 31 38 31 7 59 0 27 24
normalized size 1 1. 1.23 1. 0.23 1.9 0. 0.87 0.77
time (sec) N/A 0.115 0.025 0.003 0.774 0.271 0. 0.275 5.781




















Problem 440 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F F F(-1) F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 406 406 540 1145 0 0 0 0 357
normalized size 1 1. 1.33 2.82 0. 0. 0. 0. 0.88
time (sec) N/A 1.134 4.593 0.15 0. 0. 0. 0. 75.39




















Problem 441 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 15 15 15 18 15 15 12 15 12
normalized size 1 1. 1. 1.2 1. 1. 0.8 1. 0.8
time (sec) N/A 0.008 0.018 0.01 0.725 0.26 0.519 0.284 1.291




















Problem 442 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 17 17 16 20 18 27 31 18 12
normalized size 1 1. 0.94 1.18 1.06 1.59 1.82 1.06 0.71
time (sec) N/A 0.009 0.017 0.007 0.734 0.26 0.69 0.274 1.636




















Problem 443 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 15 15 15 18 15 15 31 15 12
normalized size 1 1. 1. 1.2 1. 1. 2.07 1. 0.8
time (sec) N/A 0.007 0.015 0.007 0.692 0.261 0.684 0.271 1.274




















Problem 444 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 15 15 15 18 15 15 31 15 12
normalized size 1 1. 1. 1.2 1. 1. 2.07 1. 0.8
time (sec) N/A 0.007 0.016 0.006 0.691 0.259 0.679 0.272 1.431




















Problem 445 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 13 13 13 21 15 15 10 15 10
normalized size 1 1. 1. 1.62 1.15 1.15 0.77 1.15 0.77
time (sec) N/A 0.007 0.013 0.004 0.692 0.273 0.341 0.27 1.919




















Problem 446 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 44 44 45 34 45 43 39 45 0
normalized size 1 1. 1.02 0.77 1.02 0.98 0.89 1.02 0.
time (sec) N/A 0.059 0.02 0.004 0.698 0.263 0.469 0.278 0.




















Problem 447 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 21 21 20 16 20 20 17 22 0
normalized size 1 1. 0.95 0.76 0.95 0.95 0.81 1.05 0.
time (sec) N/A 0.031 0.008 0.003 0.694 0.262 0.312 0.273 0.




















Problem 448 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 33 33 34 27 35 34 27 35 0
normalized size 1 1. 1.03 0.82 1.06 1.03 0.82 1.06 0.
time (sec) N/A 0.052 0.017 0.005 0.693 0.262 0.371 0.274 0.




















Problem 449 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 33 33 35 35 41 39 42 51 0
normalized size 1 1. 1.06 1.06 1.24 1.18 1.27 1.55 0.
time (sec) N/A 0.058 0.022 0.003 0.695 0.266 1.678 0.276 0.




















Problem 450 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 10 17 10 13 14 14 32 0 20
normalized size 1 1.7 1. 1.3 1.4 1.4 3.2 0. 2.
time (sec) N/A 0.141 0.019 0.024 0.687 0.309 30.625 0. 8.968




















Problem 451 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 17 17 10 13 116 14 0 0 20
normalized size 1 1. 0.59 0.76 6.82 0.82 0. 0. 1.18
time (sec) N/A 0.124 0.013 0.035 0.701 0.275 0. 0. 8.121




















Problem 452 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A F(-1) F(-1) F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 37 37 34 38 131 0 0 0 0
normalized size 1 1. 0.92 1.03 3.54 0. 0. 0. 0.
time (sec) N/A 0.06 0.567 0.034 0.904 0. 0. 0. 0.




















Problem 453 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A F(-1) F(-1) F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 35 35 32 36 128 0 0 0 0
normalized size 1 1. 0.91 1.03 3.66 0. 0. 0. 0.
time (sec) N/A 0.037 0.578 0.034 0.96 0. 0. 0. 0.




















Problem 454 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A F(-1) F(-1) F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 34 34 31 35 124 0 0 0 0
normalized size 1 1. 0.91 1.03 3.65 0. 0. 0. 0.
time (sec) N/A 0.041 0.536 0.031 0.92 0. 0. 0. 0.




















Problem 455 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A F A A A F(-1) F(-1) F F(-1)
verified N/A N/A Yes TBD TBD TBD TBD TBD TBD
size 37 0 34 38 128 0 0 0 0
normalized size 1 0. 0.92 1.03 3.46 0. 0. 0. 0.
time (sec) N/A 8.29 1.524 0.035 0.964 0. 0. 0. 0.




















Problem 456 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A F A A A F(-1) F(-1) F F(-1)
verified N/A N/A Yes TBD TBD TBD TBD TBD TBD
size 37 0 34 38 128 0 0 0 0
normalized size 1 0. 0.92 1.03 3.46 0. 0. 0. 0.
time (sec) N/A 9.372 2.205 0.036 0.904 0. 0. 0. 0.




















Problem 457 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 185 185 88 78 204 127 88 205 0
normalized size 1 1. 0.48 0.42 1.1 0.69 0.48 1.11 0.
time (sec) N/A 0.511 0.114 0.004 0.695 0.362 2.585 0.276 0.




















Problem 458 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 138 138 77 66 151 109 73 163 0
normalized size 1 1. 0.56 0.48 1.09 0.79 0.53 1.18 0.
time (sec) N/A 0.358 0.097 0.003 0.707 0.289 2.439 0.274 0.




















Problem 459 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 89 89 67 54 97 90 58 115 0
normalized size 1 1. 0.75 0.61 1.09 1.01 0.65 1.29 0.
time (sec) N/A 0.204 0.075 0.004 0.717 0.294 2.441 0.277 0.




















Problem 460 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 41 41 41 35 47 66 68 53 0
normalized size 1 1. 1. 0.85 1.15 1.61 1.66 1.29 0.
time (sec) N/A 0.063 0.025 0.002 0.727 0.296 0.538 0.273 0.




















Problem 461 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 57 57 62 51 0 1 129 105 0
normalized size 1 1. 1.09 0.89 0. 0.02 2.26 1.84 0.
time (sec) N/A 0.152 0.059 0.006 0. 0.312 9.056 0.276 0.




















Problem 462 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 54 54 63 60 0 1 196 153 68
normalized size 1 1. 1.17 1.11 0. 0.02 3.63 2.83 1.26
time (sec) N/A 0.154 0.121 0.01 0. 0.282 19.226 0.294 10.864




















Problem 463 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 80 80 77 81 0 1 292 170 68
normalized size 1 1. 0.96 1.01 0. 0.01 3.65 2.12 0.85
time (sec) N/A 0.18 0.129 0.017 0. 0.279 38.476 0.294 10.615




















Problem 464 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 326 326 232 383 362 386 0 1 306
normalized size 1 1. 0.71 1.17 1.11 1.18 0. 0. 0.94
time (sec) N/A 0.53 0.29 0.006 0.726 0.346 0. 0.375 32.316




















Problem 465 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 224 224 147 183 225 248 0 923 211
normalized size 1 1. 0.66 0.82 1. 1.11 0. 4.12 0.94
time (sec) N/A 0.371 0.183 0.003 0.725 0.358 0. 0.336 22.559




















Problem 466 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 133 133 109 94 126 139 0 460 122
normalized size 1 1. 0.82 0.71 0.95 1.05 0. 3.46 0.92
time (sec) N/A 0.227 0.097 0.003 0.711 0.352 0. 0.303 11.82




















Problem 467 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 56 56 55 41 58 68 0 159 48
normalized size 1 1. 0.98 0.73 1.04 1.21 0. 2.84 0.86
time (sec) N/A 0.068 0.049 0.003 0.694 0.342 0. 0.287 4.019




















Problem 468 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F A F F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 116 116 116 221 0 262 0 0 100
normalized size 1 1. 1. 1.91 0. 2.26 0. 0. 0.86
time (sec) N/A 0.35 0.236 0.051 0. 0.35 0. 0. 27.86




















Problem 469 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A F F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 137 137 144 151 0 1354 0 0 117
normalized size 1 1. 1.05 1.1 0. 9.88 0. 0. 0.85
time (sec) N/A 0.349 0.555 0.03 0. 0.366 0. 0. 23.023




















Problem 470 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F A F F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 224 224 230 2530 0 3856 0 0 228
normalized size 1 1. 1.03 11.29 0. 17.21 0. 0. 1.02
time (sec) N/A 0.848 1.967 0.14 0. 0.474 0. 0. 81.548




















Problem 471 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 230 230 244 394 328 308 0 533 0
normalized size 1 1. 1.06 1.71 1.43 1.34 0. 2.32 0.
time (sec) N/A 0.522 0.696 0.008 0.707 0.284 0. 0.307 0.




















Problem 472 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 151 151 169 235 200 186 0 320 0
normalized size 1 1. 1.12 1.56 1.32 1.23 0. 2.12 0.
time (sec) N/A 0.328 0.351 0.007 0.705 0.294 0. 0.284 0.




















Problem 473 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 90 90 85 116 109 96 0 177 0
normalized size 1 1. 0.94 1.29 1.21 1.07 0. 1.97 0.
time (sec) N/A 0.179 0.084 0.006 0.699 0.29 0. 0.277 0.




















Problem 474 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 41 41 37 87 47 45 49 68 0
normalized size 1 1. 0.9 2.12 1.15 1.1 1.2 1.66 0.
time (sec) N/A 0.051 0.018 0.012 0.696 0.286 1.925 0.277 0.




















Problem 475 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 82 82 61 77 0 1 0 155 73
normalized size 1 1. 0.74 0.94 0. 0.01 0. 1.89 0.89
time (sec) N/A 0.175 0.058 0.008 0. 0.288 0. 0.284 11.103




















Problem 476 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 130 130 144 216 0 1 0 342 119
normalized size 1 1. 1.11 1.66 0. 0.01 0. 2.63 0.92
time (sec) N/A 0.363 0.326 0.027 0. 0.353 0. 0.287 26.343




















Problem 477 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 204 204 228 460 0 1 0 648 187
normalized size 1 1. 1.12 2.25 0. 0. 0. 3.18 0.92
time (sec) N/A 0.591 0.733 0.021 0. 0.873 0. 0.296 47.583




















Problem 478 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 240 240 301 416 339 441 0 0 0
normalized size 1 1. 1.25 1.73 1.41 1.84 0. 0. 0.
time (sec) N/A 0.575 0.452 0.014 0.698 0.279 0. 0. 0.




















Problem 479 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 166 166 224 253 213 289 0 0 0
normalized size 1 1. 1.35 1.52 1.28 1.74 0. 0. 0.
time (sec) N/A 0.372 0.358 0.013 0.703 0.269 0. 0. 0.




















Problem 480 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 95 95 86 125 122 163 0 0 0
normalized size 1 1. 0.91 1.32 1.28 1.72 0. 0. 0.
time (sec) N/A 0.199 0.123 0.012 0.693 0.267 0. 0. 0.




















Problem 481 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 47 47 40 142 58 66 124 0 39
normalized size 1 1. 0.85 3.02 1.23 1.4 2.64 0. 0.83
time (sec) N/A 0.064 0.029 0.027 0.702 0.277 3.437 0. 4.284




















Problem 482 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 129 129 106 161 0 1 0 0 117
normalized size 1 1. 0.82 1.25 0. 0.01 0. 0. 0.91
time (sec) N/A 0.262 0.282 0.013 0. 0.304 0. 0. 17.48




















Problem 483 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 202 202 292 312 0 1 0 0 184
normalized size 1 1. 1.45 1.54 0. 0. 0. 0. 0.91
time (sec) N/A 0.518 1.73 0.022 0. 0.605 0. 0. 40.398




















Problem 484 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 306 306 390 612 0 1 0 0 275
normalized size 1 1. 1.27 2. 0. 0. 0. 0. 0.9
time (sec) N/A 0.837 0.617 0.027 0. 1.607 0. 0. 71.683




















Problem 485 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 324 324 285 383 362 312 0 1 304
normalized size 1 1. 0.88 1.18 1.12 0.96 0. 0. 0.94
time (sec) N/A 0.533 0.486 0.004 0.694 0.338 0. 0.339 32.017




















Problem 486 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 222 222 147 183 225 189 0 849 209
normalized size 1 1. 0.66 0.82 1.01 0.85 0. 3.82 0.94
time (sec) N/A 0.372 0.348 0.003 0.703 0.336 0. 0.319 22.4




















Problem 487 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 131 131 84 94 126 96 0 412 121
normalized size 1 1. 0.64 0.72 0.96 0.73 0. 3.15 0.92
time (sec) N/A 0.227 0.09 0.003 0.699 0.331 0. 0.293 12.064




















Problem 488 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 54 54 42 41 57 46 0 135 46
normalized size 1 1. 0.78 0.76 1.06 0.85 0. 2.5 0.85
time (sec) N/A 0.069 0.025 0.008 0.691 0.333 0. 0.277 4.029




















Problem 489 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A F F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 97 97 97 92 0 1003 0 0 85
normalized size 1 1. 1. 0.95 0. 10.34 0. 0. 0.88
time (sec) N/A 0.218 0.096 0.02 0. 0.348 0. 0. 16.371




















Problem 490 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F A F F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 163 163 250 265 0 3366 0 0 138
normalized size 1 1. 1.53 1.63 0. 20.65 0. 0. 0.85
time (sec) N/A 0.471 2.401 0.033 0. 0.387 0. 0. 41.932




















Problem 491 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F A F F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 261 261 410 834 0 5927 0 0 289
normalized size 1 1. 1.57 3.2 0. 22.71 0. 0. 1.11
time (sec) N/A 1.013 2.838 0.117 0. 0.957 0. 0. 91.324




















Problem 492 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F A A F(-1) F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 350 350 554 0 983 1912 0 0 320
normalized size 1 1. 1.58 0. 2.81 5.46 0. 0. 0.91
time (sec) N/A 0.617 1.483 0.008 0.724 0.44 0. 0. 49.993




















Problem 493 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F A A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 242 242 285 0 543 961 0 1 221
normalized size 1 1. 1.18 0. 2.24 3.97 0. 0. 0.91
time (sec) N/A 0.411 0.576 0.006 0.729 0.359 0. 2.279 33.738




















Problem 494 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F A A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 145 145 128 0 252 397 0 1 129
normalized size 1 1. 0.88 0. 1.74 2.74 0. 0.01 0.89
time (sec) N/A 0.242 0.292 0.006 0.72 0.318 0. 0.858 17.435




















Problem 495 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 62 62 64 0 81 109 0 836 51
normalized size 1 1. 1.03 0. 1.31 1.76 0. 13.48 0.82
time (sec) N/A 0.083 0.053 0.007 0.707 0.298 0. 0.356 6.213




















Problem 496 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 139 139 189 0 0 0 0 0 105
normalized size 1 1. 1.36 0. 0. 0. 0. 0. 0.76
time (sec) N/A 0.257 0.474 0.006 0. 0. 0. 0. 11.676




















Problem 497 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 93 93 77 70 0 1 189 0 80
normalized size 1 1. 0.83 0.75 0. 0.01 2.03 0. 0.86
time (sec) N/A 0.171 0.097 0.009 0. 0.284 108.802 0. 7.187




















Problem 498 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 70 70 61 54 0 1 153 0 60
normalized size 1 1. 0.87 0.77 0. 0.01 2.19 0. 0.86
time (sec) N/A 0.133 0.06 0.005 0. 0.29 14.287 0. 5.745




















Problem 499 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 49 49 46 40 0 1 0 0 41
normalized size 1 1. 0.94 0.82 0. 0.02 0. 0. 0.84
time (sec) N/A 0.101 0.029 0.002 0. 0.284 0. 0. 4.673




















Problem 500 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 30 30 30 25 0 1 0 0 27
normalized size 1 1. 1. 0.83 0. 0.03 0. 0. 0.9
time (sec) N/A 0.077 0.023 0.007 0. 0.282 0. 0. 3.689




















Problem 501 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 52 52 52 43 0 1 0 0 42
normalized size 1 1. 1. 0.83 0. 0.02 0. 0. 0.81
time (sec) N/A 0.113 0.06 0.007 0. 0.286 0. 0. 4.928




















Problem 502 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 75 75 66 59 0 1 0 0 63
normalized size 1 1. 0.88 0.79 0. 0.01 0. 0. 0.84
time (sec) N/A 0.146 0.154 0.011 0. 0.288 0. 0. 6.505




















Problem 503 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 101 101 81 86 0 1 192 0 80
normalized size 1 1. 0.8 0.85 0. 0.01 1.9 0. 0.79
time (sec) N/A 0.178 0.103 0.011 0. 0.285 106.39 0. 8.078




















Problem 504 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 76 76 66 65 0 1 158 0 60
normalized size 1 1. 0.87 0.86 0. 0.01 2.08 0. 0.79
time (sec) N/A 0.14 0.067 0.005 0. 0.283 14.145 0. 6.489




















Problem 505 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 53 53 50 46 0 1 0 0 41
normalized size 1 1. 0.94 0.87 0. 0.02 0. 0. 0.77
time (sec) N/A 0.107 0.032 0.005 0. 0.285 0. 0. 5.223




















Problem 506 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 32 32 32 27 0 1 0 0 26
normalized size 1 1. 1. 0.84 0. 0.03 0. 0. 0.81
time (sec) N/A 0.081 0.026 0.007 0. 0.289 0. 0. 4.075




















Problem 507 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 56 56 56 49 0 1 0 0 44
normalized size 1 1. 1. 0.88 0. 0.02 0. 0. 0.79
time (sec) N/A 0.116 0.086 0.008 0. 0.282 0. 0. 5.537




















Problem 508 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 81 81 70 70 0 1 0 0 63
normalized size 1 1. 0.86 0.86 0. 0.01 0. 0. 0.78
time (sec) N/A 0.153 0.191 0.01 0. 0.284 0. 0. 7.264




















Problem 509 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 23 23 23 18 0 1 24 28 22
normalized size 1 1. 1. 0.78 0. 0.04 1.04 1.22 0.96
time (sec) N/A 0.022 0.013 0.006 0. 0.27 3.629 0.26 1.649




















Problem 510 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 30 30 30 25 0 1 0 0 27
normalized size 1 1. 1. 0.83 0. 0.03 0. 0. 0.9
time (sec) N/A 0.078 0.034 0.009 0. 0.283 0. 0. 3.69




















Problem 511 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 37 37 37 32 0 1 0 0 0
normalized size 1 1. 1. 0.86 0. 0.03 0. 0. 0.
time (sec) N/A 0.301 0.112 0.01 0. 0.283 0. 0. 0.




















Problem 512 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 44 44 44 39 0 1 0 0 0
normalized size 1 1. 1. 0.89 0. 0.02 0. 0. 0.
time (sec) N/A 0.623 0.326 0.024 0. 0.284 0. 0. 0.




















Problem 513 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 51 51 51 46 0 1 0 0 0
normalized size 1 1. 1. 0.9 0. 0.02 0. 0. 0.
time (sec) N/A 1.102 2.222 0.032 0. 0.288 0. 0. 0.




















Problem 514 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 76 76 65 83 162 74 348 104 76
normalized size 1 1. 0.86 1.09 2.13 0.97 4.58 1.37 1.
time (sec) N/A 0.069 0.045 0.017 0.804 0.269 32.44 0.286 4.479




















Problem 515 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 60 60 60 69 90 68 216 90 60
normalized size 1 1. 1. 1.15 1.5 1.13 3.6 1.5 1.
time (sec) N/A 0.056 0.035 0.011 0.799 0.266 18.612 0.271 3.972




















Problem 516 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 44 44 53 55 41 58 112 77 42
normalized size 1 1. 1.2 1.25 0.93 1.32 2.55 1.75 0.95
time (sec) N/A 0.041 0.026 0.011 0.8 0.269 10.494 0.27 2.97




















Problem 517 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 9 9 9 13 22 16 8 50 8
normalized size 1 1. 1. 1.44 2.44 1.78 0.89 5.56 0.89
time (sec) N/A 0.015 0.009 0.005 0.737 0.264 4.066 0.267 1.472




















Problem 518 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 21 21 24 29 41 38 0 78 20
normalized size 1 1. 1.14 1.38 1.95 1.81 0. 3.71 0.95
time (sec) N/A 0.03 0.014 0.006 0.739 0.264 0. 0.267 2.247




















Problem 519 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 34 34 32 34 51 51 0 92 34
normalized size 1 1. 0.94 1. 1.5 1.5 0. 2.71 1.
time (sec) N/A 0.039 0.017 0.007 0.741 0.268 0. 0.269 2.718




















Problem 520 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A B B A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 9 9 20 23 15 38 8 15 10
normalized size 1 1. 2.22 2.56 1.67 4.22 0.89 1.67 1.11
time (sec) N/A 0.014 0.013 0.005 0.804 0.261 7.111 0.264 1.419




















Problem 521 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A B A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 9 9 20 12 12 38 10 0 10
normalized size 1 1. 2.22 1.33 1.33 4.22 1.11 0. 1.11
time (sec) N/A 0.014 0.009 0.005 0.814 0.26 5.917 0. 1.446




















Problem 522 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 18 18 18 1059 22 90 0 22 14
normalized size 1 1. 1. 58.83 1.22 5. 0. 1.22 0.78
time (sec) N/A 0.115 0.017 0.057 0.728 0.277 0. 0.261 4.477




















Problem 523 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 16 16 14 70 28 43 19 22 12
normalized size 1 1. 0.88 4.38 1.75 2.69 1.19 1.38 0.75
time (sec) N/A 0.095 0.013 0.056 0.72 0.267 0.585 0.267 4.721




















Problem 524 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 44 44 30 27 66 49 94 51 36
normalized size 1 1. 0.68 0.61 1.5 1.11 2.14 1.16 0.82
time (sec) N/A 0.095 0.021 0.009 0.807 0.263 2.07 0.262 6.289




















Problem 525 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 51 51 79 52 0 117 39 24 39
normalized size 1 1. 1.55 1.02 0. 2.29 0.76 0.47 0.76
time (sec) N/A 0.045 0.047 0.024 0. 0.272 178.468 0.267 2.308




















Problem 526 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 72 72 95 78 103 109 0 41 66
normalized size 1 1. 1.32 1.08 1.43 1.51 0. 0.57 0.92
time (sec) N/A 0.065 0.099 0.03 0.813 0.272 0. 0.269 2.425




















Problem 527 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 53 53 79 68 0 117 0 30 46
normalized size 1 1. 1.49 1.28 0. 2.21 0. 0.57 0.87
time (sec) N/A 0.055 0.049 0.094 0. 0.267 0. 0.264 2.41




















Problem 528 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 121 121 52 58 120 72 133 186 94
normalized size 1 1. 0.43 0.48 0.99 0.6 1.1 1.54 0.78
time (sec) N/A 0.175 0.036 0.019 0.808 0.294 54.884 0.267 12.639




















Problem 529 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 113 113 86 80 0 244 0 0 102
normalized size 1 1. 0.76 0.71 0. 2.16 0. 0. 0.9
time (sec) N/A 0.151 0.084 0.085 0. 0.269 0. 0. 9.908




















Problem 530 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F A A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 106 106 124 0 163 116 0 63 104
normalized size 1 1. 1.17 0. 1.54 1.09 0. 0.59 0.98
time (sec) N/A 0.119 0.125 0.066 0.808 0.275 0. 0.268 6.163




















Problem 531 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 50 50 49 42 0 1 0 55 39
normalized size 1 1. 0.98 0.84 0. 0.02 0. 1.1 0.78
time (sec) N/A 0.106 0.088 0.027 0. 0.284 0. 0.267 5.563




















Problem 532 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 50 50 49 133 0 1 0 55 39
normalized size 1 1. 0.98 2.66 0. 0.02 0. 1.1 0.78
time (sec) N/A 0.192 0.034 0.021 0. 0.285 0. 0.266 14.989




















Problem 533 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 68 68 63 56 0 1 0 74 54
normalized size 1 1. 0.93 0.82 0. 0.01 0. 1.09 0.79
time (sec) N/A 0.102 0.18 0.016 0. 0.291 0. 0.264 6.054




















Problem 534 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F(-1) A F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 68 68 63 314 0 1 0 70 0
normalized size 1 1. 0.93 4.62 0. 0.01 0. 1.03 0.
time (sec) N/A 0.97 0.089 0.029 0. 0.293 0. 0.276 0.




















Problem 535 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 34 34 39 44 76 53 0 0 29
normalized size 1 1. 1.15 1.29 2.24 1.56 0. 0. 0.85
time (sec) N/A 0.053 0.025 0.015 0.769 0.504 0. 0. 3.04




















Problem 536 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 74 74 55 42 147 66 0 0 61
normalized size 1 1. 0.74 0.57 1.99 0.89 0. 0. 0.82
time (sec) N/A 0.085 0.025 0.006 0.762 0.542 0. 0. 4.941




















Problem 537 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 19 19 19 14 18 22 14 22 14
normalized size 1 1. 1. 0.74 0.95 1.16 0.74 1.16 0.74
time (sec) N/A 0.011 0.008 0.003 0.718 0.26 0.479 0.285 3.493




















Problem 538 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 54 54 77 52 90 111 182 74 53
normalized size 1 1. 1.43 0.96 1.67 2.06 3.37 1.37 0.98
time (sec) N/A 0.136 0.046 0.008 0.811 0.282 4.124 0.304 4.286




















Problem 539 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 14 14 14 18 16 16 0 16 12
normalized size 1 1. 1. 1.29 1.14 1.14 0. 1.14 0.86
time (sec) N/A 0.034 0.006 0.017 0.719 0.262 0. 0.286 1.257




















Problem 540 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 61 61 39 91 62 78 0 68 70
normalized size 1 1. 0.64 1.49 1.02 1.28 0. 1.11 1.15
time (sec) N/A 0.08 0.026 0.011 0.809 0.27 0. 0.302 2.903




















Problem 541 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 37 37 37 93 41 51 0 41 39
normalized size 1 1. 1. 2.51 1.11 1.38 0. 1.11 1.05
time (sec) N/A 0.066 0.021 0.018 0.802 0.264 0. 0.285 2.864




















Problem 542 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 61 61 38 91 61 76 0 66 70
normalized size 1 1. 0.62 1.49 1. 1.25 0. 1.08 1.15
time (sec) N/A 0.066 0.019 0.007 0.794 0.267 0. 0.296 2.707




















Problem 543 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 31 31 31 54 28 28 0 30 26
normalized size 1 1. 1. 1.74 0.9 0.9 0. 0.97 0.84
time (sec) N/A 0.044 0.007 0.02 0.718 0.263 0. 0.279 2.39




















Problem 544 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 65 65 42 101 69 84 0 73 70
normalized size 1 1. 0.65 1.55 1.06 1.29 0. 1.12 1.08
time (sec) N/A 0.073 0.023 0.006 0.799 0.27 0. 0.294 2.554




















Problem 545 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 62 62 49 42 0 69 0 61 63
normalized size 1 1. 0.79 0.68 0. 1.11 0. 0.98 1.02
time (sec) N/A 0.052 0.03 0.008 0. 0.556 0. 0.288 2.051




















Problem 546 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A F F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 75 75 65 55 0 82 0 0 65
normalized size 1 1. 0.87 0.73 0. 1.09 0. 0. 0.87
time (sec) N/A 0.082 0.051 0.007 0. 0.555 0. 0. 2.684




















Problem 547 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 68 68 54 48 0 80 0 72 66
normalized size 1 1. 0.79 0.71 0. 1.18 0. 1.06 0.97
time (sec) N/A 0.077 0.037 0.008 0. 0.606 0. 0.303 2.521




















Problem 548 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 80 80 62 60 0 99 0 92 78
normalized size 1 1. 0.78 0.75 0. 1.24 0. 1.15 0.98
time (sec) N/A 0.079 0.055 0.009 0. 0.574 0. 0.287 2.526




















Problem 549 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 109 109 65 67 0 153 0 174 94
normalized size 1 1. 0.6 0.61 0. 1.4 0. 1.6 0.86
time (sec) N/A 0.136 0.09 0.011 0. 1.327 0. 0.298 3.492




















Problem 550 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A F F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 47 47 45 32 0 63 0 0 37
normalized size 1 1. 0.96 0.68 0. 1.34 0. 0. 0.79
time (sec) N/A 0.058 0.022 0.012 0. 0.476 0. 0. 2.28




















Problem 551 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 67 67 64 52 66 59 0 113 0
normalized size 1 1. 0.96 0.78 0.99 0.88 0. 1.69 0.
time (sec) N/A 0.221 0.072 0.009 0.806 0.275 0. 0.284 0.




















Problem 552 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 71 71 70 54 69 90 0 117 0
normalized size 1 1. 0.99 0.76 0.97 1.27 0. 1.65 0.
time (sec) N/A 0.188 0.045 0.006 0.802 0.267 0. 0.269 0.




















Problem 553 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 52 52 52 97 62 31 44 62 44
normalized size 1 1. 1. 1.87 1.19 0.6 0.85 1.19 0.85
time (sec) N/A 0.096 0.032 0.013 0.802 0.267 3.351 0.262 7.701




















Problem 554 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 20 20 18 14 0 50 0 34 24
normalized size 1 1. 0.9 0.7 0. 2.5 0. 1.7 1.2
time (sec) N/A 0.18 0.022 0.009 0. 0.484 0. 0.263 7.188




















Problem 555 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 43 43 43 34 39 39 36 41 41
normalized size 1 1. 1. 0.79 0.91 0.91 0.84 0.95 0.95
time (sec) N/A 0.194 0.019 0.006 0.811 0.271 10.65 0.261 13.96




















Problem 556 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 116 116 156 90 120 103 0 120 0
normalized size 1 1. 1.34 0.78 1.03 0.89 0. 1.03 0.
time (sec) N/A 0.22 0.201 0.007 0.718 0.263 0. 0.297 0.




















Problem 557 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 83 83 58 54 72 47 0 0 71
normalized size 1 1. 0.7 0.65 0.87 0.57 0. 0. 0.86
time (sec) N/A 0.114 0.043 0.013 0.741 0.269 0. 0. 4.689




















Problem 558 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 64 64 62 41 54 53 216 0 54
normalized size 1 1. 0.97 0.64 0.84 0.83 3.38 0. 0.84
time (sec) N/A 0.104 0.04 0.014 0.733 0.266 8.126 0. 4.797




















Problem 559 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 82 82 86 59 78 77 0 0 65
normalized size 1 1. 1.05 0.72 0.95 0.94 0. 0. 0.79
time (sec) N/A 0.168 0.045 0.015 0.723 0.267 0. 0. 6.569




















Problem 560 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 83 83 58 54 72 47 0 0 71
normalized size 1 1. 0.7 0.65 0.87 0.57 0. 0. 0.86
time (sec) N/A 0.101 0.016 0. 0.735 0.268 0. 0. 4.692




















Problem 561 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 190 190 135 121 162 103 0 0 165
normalized size 1 1. 0.71 0.64 0.85 0.54 0. 0. 0.87
time (sec) N/A 0.557 0.129 0.019 0.74 0.271 0. 0. 18.108




















Problem 562 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 233 233 183 154 207 115 0 0 202
normalized size 1 1. 0.79 0.66 0.89 0.49 0. 0. 0.87
time (sec) N/A 0.604 0.163 0.025 0.727 0.272 0. 0. 19.348




















Problem 563 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 160 160 103 107 143 84 0 0 139
normalized size 1 1. 0.64 0.67 0.89 0.52 0. 0. 0.87
time (sec) N/A 0.428 0.106 0.012 0.727 0.275 0. 0. 16.686




















Problem 564 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 20 20 20 16 0 47 0 34 26
normalized size 1 1. 1. 0.8 0. 2.35 0. 1.7 1.3
time (sec) N/A 0.157 0.016 0.001 0. 0.477 0. 0.286 7.053




















Problem 565 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 44 52 44 38 0 115 0 92 61
normalized size 1 1.18 1. 0.86 0. 2.61 0. 2.09 1.39
time (sec) N/A 0.07 0.036 0.01 0. 0.729 0. 0.273 2.821




















Problem 566 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 54 54 77 80 78 61 99 119 0
normalized size 1 1. 1.43 1.48 1.44 1.13 1.83 2.2 0.
time (sec) N/A 0.603 0.13 0.007 0.715 0.264 11.79 0.275 0.




















Problem 567 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 70 70 53 50 0 82 0 59 68
normalized size 1 1. 0.76 0.71 0. 1.17 0. 0.84 0.97
time (sec) N/A 0.07 0.041 0.009 0. 0.977 0. 0.275 2.675




















Problem 568 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 19 19 19 16 20 20 0 20 0
normalized size 1 1. 1. 0.84 1.05 1.05 0. 1.05 0.
time (sec) N/A 0.041 0.012 0.004 0.718 0.267 0. 0.267 0.




















Problem 569 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 77 77 66 50 66 66 71 68 0
normalized size 1 1. 0.86 0.65 0.86 0.86 0.92 0.88 0.
time (sec) N/A 0.116 0.032 0.006 0.723 0.265 10.387 0.266 0.




















Problem 570 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A B A B F A A F A
verified N/A NO Yes TBD TBD TBD TBD TBD TBD
size 80 224 70 443 0 582 56 0 211
normalized size 1 2.8 0.88 5.54 0. 7.28 0.7 0. 2.64
time (sec) N/A 0.566 0.097 0.046 0. 0.286 14.345 0. 27.665




















Problem 571 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F F(-1) F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 89 89 93 130 0 0 0 0 0
normalized size 1 1. 1.04 1.46 0. 0. 0. 0. 0.
time (sec) N/A 0.47 0.019 0.017 0. 0. 0. 0. 0.




















Problem 572 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F F(-1) F F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 61 61 73 68 0 0 0 0 78
normalized size 1 1. 1.2 1.11 0. 0. 0. 0. 1.28
time (sec) N/A 0.889 0.03 0.021 0. 0. 0. 0. 71.783




















Problem 573 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 8 8 8 28 36 24 26 20 7
normalized size 1 1. 1. 3.5 4.5 3. 3.25 2.5 0.88
time (sec) N/A 0.009 0.006 0.005 0.723 0.3 3.571 0.309 1.047




















Problem 574 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 8 8 8 32 36 36 0 30 7
normalized size 1 1. 1. 4. 4.5 4.5 0. 3.75 0.88
time (sec) N/A 0.022 0.01 0.015 0.722 0.274 0. 0.27 1.654




















Problem 575 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 22 22 42 39 66 104 60 31 17
normalized size 1 1. 1.91 1.77 3. 4.73 2.73 1.41 0.77
time (sec) N/A 0.014 0.028 0.005 0.72 0.274 5.709 0.293 1.459




















Problem 576 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 22 22 42 45 69 57 0 47 24
normalized size 1 1. 1.91 2.05 3.14 2.59 0. 2.14 1.09
time (sec) N/A 0.017 0.006 0.005 0.713 0.273 0. 0.272 1.976




















Problem 577 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 36 36 62 43 27 80 0 57 29
normalized size 1 1. 1.72 1.19 0.75 2.22 0. 1.58 0.81
time (sec) N/A 0.044 0.046 0.022 0.798 0.296 0. 0.271 2.12




















Problem 578 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 36 36 62 59 55 49 0 69 29
normalized size 1 1. 1.72 1.64 1.53 1.36 0. 1.92 0.81
time (sec) N/A 0.056 0.014 0.02 0.797 0.284 0. 0.269 2.541




















Problem 579 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 69 69 74 76 74 228 83 65 61
normalized size 1 1. 1.07 1.1 1.07 3.3 1.2 0.94 0.88
time (sec) N/A 0.071 0.066 0.014 0.719 0.276 42.135 0.292 3.897




















Problem 580 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 69 69 74 79 186 86 0 84 61
normalized size 1 1. 1.07 1.14 2.7 1.25 0. 1.22 0.88
time (sec) N/A 0.086 0.021 0.014 0.717 0.277 0. 0.271 4.405




















Problem 581 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A B B A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 15 15 32 33 18 18 0 27 12
normalized size 1 1. 2.13 2.2 1.2 1.2 0. 1.8 0.8
time (sec) N/A 0.022 0.023 0.006 0.798 0.277 0. 0.27 1.329




















Problem 582 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A B A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 18 18 47 30 20 20 0 22 12
normalized size 1 1. 2.61 1.67 1.11 1.11 0. 1.22 0.67
time (sec) N/A 0.038 0.026 0.016 0.804 0.275 0. 0.272 2.113




















Problem 583 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 24 24 80 85 32 32 0 51 17
normalized size 1 1. 3.33 3.54 1.33 1.33 0. 2.12 0.71
time (sec) N/A 0.099 0.094 0.04 0.805 0.277 0. 0.297 3.329




















Problem 584 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A B B F(-2) A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 41 41 89 80 0 1 0 100 36
normalized size 1 1. 2.17 1.95 0. 0.02 0. 2.44 0.88
time (sec) N/A 0.111 0.049 0.034 0. 0.279 0. 0.296 5.635




















Problem 585 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 32 32 43 46 50 38 0 49 27
normalized size 1 1. 1.34 1.44 1.56 1.19 0. 1.53 0.84
time (sec) N/A 0.031 0.028 0.005 0.799 0.274 0. 0.274 2.056




















Problem 586 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 38 38 62 39 58 43 0 39 32
normalized size 1 1. 1.63 1.03 1.53 1.13 0. 1.03 0.84
time (sec) N/A 0.037 0.035 0.006 0.793 0.272 0. 0.273 2.136




















Problem 587 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 42 42 67 64 66 51 0 49 36
normalized size 1 1. 1.6 1.52 1.57 1.21 0. 1.17 0.86
time (sec) N/A 0.036 0.085 0.023 0.804 0.279 0. 0.276 2.018




















Problem 588 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 41 41 69 60 95 78 0 54 36
normalized size 1 1. 1.68 1.46 2.32 1.9 0. 1.32 0.88
time (sec) N/A 0.048 0.049 0.017 0.714 0.275 0. 0.271 2.17




















Problem 589 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 76 76 127 152 0 1 0 161 76
normalized size 1 1. 1.67 2. 0. 0.01 0. 2.12 1.
time (sec) N/A 0.088 0.112 0.01 0. 0.292 0. 0.296 4.926




















Problem 590 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 49 49 71 76 108 84 0 100 51
normalized size 1 1. 1.45 1.55 2.2 1.71 0. 2.04 1.04
time (sec) N/A 0.037 0.068 0.015 0.803 0.286 0. 0.275 2.164




















Problem 591 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 46 46 82 103 72 62 0 154 39
normalized size 1 1. 1.78 2.24 1.57 1.35 0. 3.35 0.85
time (sec) N/A 0.079 0.064 0.031 0.802 0.278 0. 0.278 3.256




















Problem 592 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 20 20 19 17 36 23 0 39 20
normalized size 1 1. 0.95 0.85 1.8 1.15 0. 1.95 1.
time (sec) N/A 0.089 0.02 0.005 0.716 0.272 0. 0.28 3.944




















Problem 593 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 18 18 17 17 22 23 0 39 14
normalized size 1 1. 0.94 0.94 1.22 1.28 0. 2.17 0.78
time (sec) N/A 0.116 0.015 0.004 0.774 0.269 0. 0.281 6.166




















Problem 594 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F A A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 54 54 101 79 139 112 0 144 48
normalized size 1 1. 1.87 1.46 2.57 2.07 0. 2.67 0.89
time (sec) N/A 0.176 0.102 0.026 0.833 0.296 0. 0.285 6.851




















Problem 595 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 11 11 17 18 15 15 0 31 8
normalized size 1 1. 1.55 1.64 1.36 1.36 0. 2.82 0.73
time (sec) N/A 0.014 0.015 0.005 0.888 0.281 0. 0.27 1.35




















Problem 596 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 29 29 41 40 19 46 0 0 26
normalized size 1 1. 1.41 1.38 0.66 1.59 0. 0. 0.9
time (sec) N/A 0.042 0.019 0.026 0.863 0.313 0. 0. 3.711




















Problem 597 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F A F A A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 180 180 250 551 0 379 0 387 180
normalized size 1 1. 1.39 3.06 0. 2.11 0. 2.15 1.
time (sec) N/A 0.414 0.891 0.084 0. 0.292 0. 0.324 84.325




















Problem 598 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F A F A A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 172 172 306 1066 0 236 0 473 264
normalized size 1 1. 1.78 6.2 0. 1.37 0. 2.75 1.53
time (sec) N/A 0.253 1.021 0.042 0. 0.277 0. 0.31 30.41




















Problem 599 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F A F A A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 307 307 333 6000 0 306 0 610 733
normalized size 1 1. 1.08 19.54 0. 1. 0. 1.99 2.39
time (sec) N/A 0.445 1.099 0.062 0. 0.277 0. 0.311 92.883




















Problem 600 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 65 65 74 71 0 220 0 109 53
normalized size 1 1. 1.14 1.09 0. 3.38 0. 1.68 0.82
time (sec) N/A 0.068 0.045 0.008 0. 0.272 0. 0.277 3.973




















Problem 601 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 83 83 91 118 0 317 0 193 70
normalized size 1 1. 1.1 1.42 0. 3.82 0. 2.33 0.84
time (sec) N/A 0.076 0.079 0.026 0. 0.268 0. 0.276 4.631




















Problem 602 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 101 101 111 146 0 431 0 248 85
normalized size 1 1. 1.1 1.45 0. 4.27 0. 2.46 0.84
time (sec) N/A 0.082 0.082 0.033 0. 0.267 0. 0.274 5.18




















Problem 603 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 108 108 1119 370 0 248 0 266 114
normalized size 1 1. 10.36 3.43 0. 2.3 0. 2.46 1.06
time (sec) N/A 0.184 6.257 0.013 0. 0.282 0. 0.275 7.884




















Problem 604 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 87 87 881 2407 0 154 0 355 94
normalized size 1 1. 10.13 27.67 0. 1.77 0. 4.08 1.08
time (sec) N/A 0.156 5.199 0.108 0. 0.271 0. 0.272 3.867




















Problem 605 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 149 149 914 14545 0 225 0 495 214
normalized size 1 1. 6.13 97.62 0. 1.51 0. 3.32 1.44
time (sec) N/A 0.187 6.118 0.301 0. 0.277 0. 0.282 10.823




















Problem 606 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 42 59 62 51 80 78 182 69 60
normalized size 1 1.4 1.48 1.21 1.9 1.86 4.33 1.64 1.43
time (sec) N/A 0.393 0.083 0.011 0.885 0.261 2.159 0.265 23.437




















Problem 607 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 42 59 62 51 80 78 182 69 60
normalized size 1 1.4 1.48 1.21 1.9 1.86 4.33 1.64 1.43
time (sec) N/A 0.395 0.071 0.008 0.877 0.26 40.747 0.264 21.148




















Problem 608 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 102 102 278 1050 0 0 0 0 88
normalized size 1 1. 2.73 10.29 0. 0. 0. 0. 0.86
time (sec) N/A 0.202 0.899 0.184 0. 0. 0. 0. 22.935




















Problem 609 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 62 62 256 946 0 0 0 0 58
normalized size 1 1. 4.13 15.26 0. 0. 0. 0. 0.94
time (sec) N/A 0.155 0.886 0.039 0. 0. 0. 0. 19.939




















Problem 610 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 17 17 156 200 0 0 0 0 15
normalized size 1 1. 9.18 11.76 0. 0. 0. 0. 0.88
time (sec) N/A 0.04 0.215 0.038 0. 0. 0. 0. 10.819




















Problem 611 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 73 73 261 963 0 0 0 0 63
normalized size 1 1. 3.58 13.19 0. 0. 0. 0. 0.86
time (sec) N/A 0.16 1.351 0.051 0. 0. 0. 0. 19.962




















Problem 612 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 109 109 298 1039 0 0 0 0 97
normalized size 1 1. 2.73 9.53 0. 0. 0. 0. 0.89
time (sec) N/A 0.209 1.722 0.052 0. 0. 0. 0. 22.704




















Problem 613 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F F F(-1) F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 102 102 278 1050 0 0 0 0 88
normalized size 1 1. 2.73 10.29 0. 0. 0. 0. 0.86
time (sec) N/A 0.197 1.315 0.047 0. 0. 0. 0. 15.814




















Problem 614 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 62 62 256 946 0 0 0 0 58
normalized size 1 1. 4.13 15.26 0. 0. 0. 0. 0.94
time (sec) N/A 0.151 0.939 0.039 0. 0. 0. 0. 12.434




















Problem 615 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 17 17 100 200 0 0 0 0 15
normalized size 1 1. 5.88 11.76 0. 0. 0. 0. 0.88
time (sec) N/A 0.036 0.314 0.039 0. 0. 0. 0. 3.483




















Problem 616 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F F F(-1) F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 73 73 298 963 0 0 0 0 63
normalized size 1 1. 4.08 13.19 0. 0. 0. 0. 0.86
time (sec) N/A 0.155 1.275 0.045 0. 0. 0. 0. 11.985




















Problem 617 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F F F(-1) F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 109 109 327 1039 0 0 0 0 97
normalized size 1 1. 3. 9.53 0. 0. 0. 0. 0.89
time (sec) N/A 0.201 1.437 0.051 0. 0. 0. 0. 14.677




















Problem 618 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F F F F A
verified N/A NO Yes TBD TBD TBD TBD TBD TBD
size 730 730 10468 5229 0 0 0 0 734
normalized size 1 1. 14.34 7.16 0. 0. 0. 0. 1.01
time (sec) N/A 1.918 6.298 0.268 0. 0. 0. 0. 157.33




















Problem 619 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F F F F A
verified N/A NO NO TBD TBD TBD TBD TBD TBD
size 622 622 5218 4890 0 0 0 0 604
normalized size 1 1. 8.39 7.86 0. 0. 0. 0. 0.97
time (sec) N/A 1.554 6.147 0.05 0. 0. 0. 0. 127.364




















Problem 620 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 227 227 822 1056 0 0 0 0 221
normalized size 1 1. 3.62 4.65 0. 0. 0. 0. 0.97
time (sec) N/A 0.469 3.76 0.046 0. 0. 0. 0. 56.107




















Problem 621 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F F F F A
verified N/A NO Yes TBD TBD TBD TBD TBD TBD
size 674 674 5276 5024 0 0 0 0 651
normalized size 1 1. 7.83 7.45 0. 0. 0. 0. 0.97
time (sec) N/A 1.705 6.201 0.067 0. 0. 0. 0. 131.157




















Problem 622 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A B B F F F F A
verified N/A NO Yes TBD TBD TBD TBD TBD TBD
size 663 663 7543 7887 0 0 0 0 673
normalized size 1 1. 11.38 11.9 0. 0. 0. 0. 1.02
time (sec) N/A 1.578 6.198 0.283 0. 0. 0. 0. 139.962




















Problem 623 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A B B F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 235 235 1065 1704 0 0 0 0 243
normalized size 1 1. 4.53 7.25 0. 0. 0. 0. 1.03
time (sec) N/A 0.403 4.274 0.045 0. 0. 0. 0. 60.406




















Problem 624 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A B B F F F F A
verified N/A NO Yes TBD TBD TBD TBD TBD TBD
size 748 748 7629 8103 0 0 0 0 777
normalized size 1 1. 10.2 10.83 0. 0. 0. 0. 1.04
time (sec) N/A 1.779 6.235 0.067 0. 0. 0. 0. 157.726




















Problem 625 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A B B F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 452 452 6287 2655 0 0 0 0 369
normalized size 1 1. 13.91 5.87 0. 0. 0. 0. 0.82
time (sec) N/A 1.404 6.185 0.083 0. 0. 0. 0. 78.052




















Problem 626 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A B B F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 397 397 3470 2519 0 0 0 0 320
normalized size 1 1. 8.74 6.35 0. 0. 0. 0. 0.81
time (sec) N/A 1.078 6.094 0.027 0. 0. 0. 0. 68.806




















Problem 627 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A B B F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 144 144 540 530 0 0 0 0 112
normalized size 1 1. 3.75 3.68 0. 0. 0. 0. 0.78
time (sec) N/A 0.237 2.519 0.025 0. 0. 0. 0. 27.165




















Problem 628 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A B B F F F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 437 437 3526 2601 0 0 0 0 345
normalized size 1 1. 8.07 5.95 0. 0. 0. 0. 0.79
time (sec) N/A 1.135 6.124 0.03 0. 0. 0. 0. 69.56




















Problem 629 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A B B F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 517 517 6386 2757 0 0 0 0 427
normalized size 1 1. 12.35 5.33 0. 0. 0. 0. 0.83
time (sec) N/A 1.456 6.317 0.039 0. 0. 0. 0. 87.306




















Problem 630 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A B B F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 558 558 7235 2694 0 0 0 0 476
normalized size 1 1. 12.97 4.83 0. 0. 0. 0. 0.85
time (sec) N/A 1.437 6.285 0.028 0. 0. 0. 0. 79.68




















Problem 631 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A B B F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 466 466 4389 2551 0 0 0 0 388
normalized size 1 1. 9.42 5.47 0. 0. 0. 0. 0.83
time (sec) N/A 1.203 6.121 0.027 0. 0. 0. 0. 69.845




















Problem 632 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A B B F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 179 179 813 788 0 0 0 0 148
normalized size 1 1. 4.54 4.4 0. 0. 0. 0. 0.83
time (sec) N/A 0.334 5.164 0.026 0. 0. 0. 0. 26.628




















Problem 633 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A B B F F F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 474 474 3593 2616 0 0 0 0 388
normalized size 1 1. 7.58 5.52 0. 0. 0. 0. 0.82
time (sec) N/A 1.195 6.095 0.031 0. 0. 0. 0. 77.076




















Problem 634 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A B B F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 591 591 6452 2777 0 0 0 0 502
normalized size 1 1. 10.92 4.7 0. 0. 0. 0. 0.85
time (sec) N/A 1.526 6.16 0.042 0. 0. 0. 0. 108.201




















Problem 635 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A B B F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 585 585 8500 2733 0 0 0 0 498
normalized size 1 1. 14.53 4.67 0. 0. 0. 0. 0.85
time (sec) N/A 1.635 6.241 0.033 0. 0. 0. 0. 84.612




















Problem 636 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A B B F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 485 485 5647 2582 0 0 0 0 405
normalized size 1 1. 11.64 5.32 0. 0. 0. 0. 0.84
time (sec) N/A 1.352 6.164 0.03 0. 0. 0. 0. 72.457




















Problem 637 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A B B F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 388 388 1247 1147 0 0 0 0 314
normalized size 1 1. 3.21 2.96 0. 0. 0. 0. 0.81
time (sec) N/A 1.038 6.054 0.029 0. 0. 0. 0. 58.549




















Problem 638 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A B B F F F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 311 311 2941 2607 0 0 0 0 264
normalized size 1 1. 9.46 8.38 0. 0. 0. 0. 0.85
time (sec) N/A 0.803 6.148 0.035 0. 0. 0. 0. 58.006




















Problem 639 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A B B F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 582 582 5812 2780 0 0 0 0 500
normalized size 1 1. 9.99 4.78 0. 0. 0. 0. 0.86
time (sec) N/A 1.648 6.226 0.046 0. 0. 0. 0. 111.191




















Problem 640 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 129 129 927 965 0 0 0 0 0
normalized size 1 1. 7.19 7.48 0. 0. 0. 0. 0.
time (sec) N/A 0.533 0.555 1.776 0. 0. 0. 0. 0.




















Problem 641 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 431 431 4865 4426 0 0 0 0 0
normalized size 1 1. 11.29 10.27 0. 0. 0. 0. 0.
time (sec) N/A 0.997 6.065 0.03 0. 0. 0. 0. 0.




















Problem 642 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C C F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 108 108 249 961 0 0 0 0 0
normalized size 1 1. 2.31 8.9 0. 0. 0. 0. 0.
time (sec) N/A 0.364 0.971 1.227 0. 0. 0. 0. 0.




















Problem 643 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C C F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 367 367 3334 2564 0 0 0 0 0
normalized size 1 1. 9.08 6.99 0. 0. 0. 0. 0.
time (sec) N/A 0.71 6.051 0.028 0. 0. 0. 0. 0.




















Problem 644 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 126 126 1148 1180 0 0 0 0 0
normalized size 1 1. 9.11 9.37 0. 0. 0. 0. 0.
time (sec) N/A 0.56 0.597 1.678 0. 0. 0. 0. 0.




















Problem 645 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C C F F F F F
verified N/A NO NO TBD TBD TBD TBD TBD TBD
size 434 434 6019 5421 0 0 0 0 0
normalized size 1 1. 13.87 12.49 0. 0. 0. 0. 0.
time (sec) N/A 1.012 6.071 0.03 0. 0. 0. 0. 0.




















Problem 646 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C C F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 577 577 6084 5477 0 0 0 0 0
normalized size 1 1. 10.54 9.49 0. 0. 0. 0. 0.
time (sec) N/A 1.278 6.078 0.033 0. 0. 0. 0. 0.




















Problem 647 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 130 130 826 1182 0 0 0 0 0
normalized size 1 1. 6.35 9.09 0. 0. 0. 0. 0.
time (sec) N/A 0.428 0.202 0.911 0. 0. 0. 0. 0.




















Problem 648 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C C F F F F F
verified N/A NO NO TBD TBD TBD TBD TBD TBD
size 444 444 5428 5427 0 0 0 0 0
normalized size 1 1. 12.23 12.22 0. 0. 0. 0. 0.
time (sec) N/A 0.887 6.069 0.025 0. 0. 0. 0. 0.




















Problem 649 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F F(-2) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 56 56 69 76 77 96 0 0 0
normalized size 1 1. 1.23 1.36 1.38 1.71 0. 0. 0.
time (sec) N/A 0.409 0.104 0.025 0.844 0.284 0. 0. 0.




















Problem 650 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 65 65 49 56 0 332 76 120 0
normalized size 1 1. 0.75 0.86 0. 5.11 1.17 1.85 0.
time (sec) N/A 0.255 0.044 0.008 0. 0.281 11.862 0.273 0.




















Problem 651 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 53 101 53 58 0 311 0 108 0
normalized size 1 1.91 1. 1.09 0. 5.87 0. 2.04 0.
time (sec) N/A 0.365 0.049 0.007 0. 0.28 0. 0.27 0.




















Problem 652 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 14 14 14 13 16 16 12 16 12
normalized size 1 1. 1. 0.93 1.14 1.14 0.86 1.14 0.86
time (sec) N/A 0.193 0.008 0.002 0.801 0.269 0.347 0.265 11.326




















Problem 653 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 61 61 61 46 61 58 60 58 0
normalized size 1 1. 1. 0.75 1. 0.95 0.98 0.95 0.
time (sec) N/A 0.28 0.029 0.003 0.723 0.261 1.228 0.268 0.




















Problem 654 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 114 114 114 86 115 123 116 113 0
normalized size 1 1. 1. 0.75 1.01 1.08 1.02 0.99 0.
time (sec) N/A 0.339 0.057 0.004 0.723 0.266 1.281 0.264 0.




















Problem 655 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 58 58 109 102 0 1 53 0 39
normalized size 1 1. 1.88 1.76 0. 0.02 0.91 0. 0.67
time (sec) N/A 0.207 0.121 0.027 0. 0.283 7.309 0. 8.829




















Problem 656 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 58 58 109 102 0 1 53 0 39
normalized size 1 1. 1.88 1.76 0. 0.02 0.91 0. 0.67
time (sec) N/A 0.322 0.029 0.013 0. 0.282 28.298 0. 10.469




















Problem 657 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 53 53 75 39 0 254 0 528 48
normalized size 1 1. 1.42 0.74 0. 4.79 0. 9.96 0.91
time (sec) N/A 0.097 0.098 0.02 0. 0.296 0. 0.298 5.929




















Problem 658 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 23 23 23 18 23 70 27 24 0
normalized size 1 1. 1. 0.78 1. 3.04 1.17 1.04 0.
time (sec) N/A 0.016 0.019 0.001 0.719 0.265 0.459 0.262 0.




















Problem 659 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 23 23 23 26 23 78 63 39 0
normalized size 1 1. 1. 1.13 1. 3.39 2.74 1.7 0.
time (sec) N/A 0.016 0.006 0.002 0.799 0.265 3.76 0.27 0.




















Problem 660 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B A A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 33 33 33 58 49 128 0 54 0
normalized size 1 1. 1. 1.76 1.48 3.88 0. 1.64 0.
time (sec) N/A 0.046 0.026 0.016 0.756 0.271 0. 0.293 0.




















Problem 661 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 45 45 0 35 3 3 2 42 0
normalized size 1 1. 0. 0.78 0.07 0.07 0.04 0.93 0.
time (sec) N/A 0.253 0.092 0.006 0.921 0.265 0.199 0.264 0.




















Problem 662 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A F(-1)
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 45 45 0 35 3 3 2 42 0
normalized size 1 1. 0. 0.78 0.07 0.07 0.04 0.93 0.
time (sec) N/A 0.096 0.058 0.004 0.859 0.265 0.191 0.264 0.




















Problem 663 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 45 45 0 35 3 3 2 42 0
normalized size 1 1. 0. 0.78 0.07 0.07 0.04 0.93 0.
time (sec) N/A 0.165 0.056 0.005 0.835 0.274 0.185 0.272 0.




















Problem 664 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 45 45 0 27 3 3 2 16 0
normalized size 1 1. 0. 0.6 0.07 0.07 0.04 0.36 0.
time (sec) N/A 0.216 0.068 0.012 0.833 0.263 0.181 0.265 0.




















Problem 665 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F(-1) A F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 52 52 0 41 58 8 0 8 0
normalized size 1 1. 0. 0.79 1.12 0.15 0. 0.15 0.
time (sec) N/A 0.287 0.166 0.008 0.852 0.272 0. 0.265 0.




















Problem 666 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F A F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 52 52 0 30 8 8 0 8 0
normalized size 1 1. 0. 0.58 0.15 0.15 0. 0.15 0.
time (sec) N/A 0.214 0.086 0.014 1.166 0.27 0. 0.267 0.




















Problem 667 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 68 68 51 40 11 11 0 11 0
normalized size 1 1. 0.75 0.59 0.16 0.16 0. 0.16 0.
time (sec) N/A 0.256 0.038 0.018 1.417 0.268 0. 0.263 0.




















Problem 668 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 31 31 23 32 36 68 0 0 19
normalized size 1 1. 0.74 1.03 1.16 2.19 0. 0. 0.61
time (sec) N/A 0.058 0.053 0.013 1.049 0.266 0. 0. 2.619




















Problem 669 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F A F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 31 31 23 32 34 68 0 74 0
normalized size 1 1. 0.74 1.03 1.1 2.19 0. 2.39 0.
time (sec) N/A 0.521 0.031 0.003 0.796 0.267 0. 0.287 0.




















Problem 670 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 31 31 23 81 0 68 0 92 0
normalized size 1 1. 0.74 2.61 0. 2.19 0. 2.97 0.
time (sec) N/A 0.325 0.041 0.048 0. 0.269 0. 0.272 0.




















Problem 671 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 31 31 23 81 0 68 0 92 46
normalized size 1 1. 0.74 2.61 0. 2.19 0. 2.97 1.48
time (sec) N/A 0.3 0.029 0.004 0. 0.266 0. 0.269 4.964




















Problem 672 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 31 31 23 32 0 68 0 92 15
normalized size 1 1. 0.74 1.03 0. 2.19 0. 2.97 0.48
time (sec) N/A 1.241 0.044 0.009 0. 0.268 0. 0.286 22.256




















Problem 673 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 43 43 44 73 115 59 206 0 36
normalized size 1 1. 1.02 1.7 2.67 1.37 4.79 0. 0.84
time (sec) N/A 0.167 0.067 0.025 0.74 0.297 40.409 0. 9.52




















Problem 674 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 42 42 42 45 0 142 0 77 49
normalized size 1 1. 1. 1.07 0. 3.38 0. 1.83 1.17
time (sec) N/A 0.223 0.023 0.009 0. 0.27 0. 0.273 9.873




















Problem 675 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 65 65 98 262 0 300 0 180 0
normalized size 1 1. 1.51 4.03 0. 4.62 0. 2.77 0.
time (sec) N/A 0.257 0.074 0.049 0. 0.277 0. 0.278 0.




















Problem 676 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 195 195 240 1407 0 1 0 724 170
normalized size 1 1. 1.23 7.22 0. 0.01 0. 3.71 0.87
time (sec) N/A 0.469 0.437 0.045 0. 0.31 0. 0.275 39.15




















Problem 677 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 28 28 28 29 46 65 0 46 24
normalized size 1 1. 1. 1.04 1.64 2.32 0. 1.64 0.86
time (sec) N/A 0.055 0.039 0.04 0.782 0.286 0. 0.265 3.706




















Problem 678 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 28 28 28 29 0 65 0 46 24
normalized size 1 1. 1. 1.04 0. 2.32 0. 1.64 0.86
time (sec) N/A 0.072 0.021 0.037 0. 0.27 0. 0.267 5.778




















Problem 679 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 22 22 22 19 24 62 17 24 17
normalized size 1 1. 1. 0.86 1.09 2.82 0.77 1.09 0.77
time (sec) N/A 0.012 0.012 0.003 0.7 0.268 0.323 0.265 1.148




















Problem 680 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 22 22 22 19 24 62 17 24 0
normalized size 1 1. 1. 0.86 1.09 2.82 0.77 1.09 0.
time (sec) N/A 0.133 0.003 0.002 0.7 0.263 3.427 0.28 0.




















Problem 681 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 17 17 17 12 24 15 36 0 14
normalized size 1 1. 1. 0.71 1.41 0.88 2.12 0. 0.82
time (sec) N/A 0.085 0.021 0.013 0.947 0.305 3.903 0. 6.321




















Problem 682 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A C A A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 17 17 17 125 31 15 0 0 36
normalized size 1 1. 1. 7.35 1.82 0.88 0. 0. 2.12
time (sec) N/A 0.072 0.016 0.123 0.975 0.302 0. 0. 37.666




















Problem 683 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 10 10 10 7 8 26 7 8 7
normalized size 1 1. 1. 0.7 0.8 2.6 0.7 0.8 0.7
time (sec) N/A 0.006 0.007 0.005 0.799 0.265 0.337 0.272 0.546




















Problem 684 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 10 10 10 34 8 34 51 16 7
normalized size 1 1. 1. 3.4 0.8 3.4 5.1 1.6 0.7
time (sec) N/A 0.014 0.007 0.01 0.809 0.266 3.855 0.268 1.502




















Problem 685 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 10 10 10 7 8 26 7 8 7
normalized size 1 1. 1. 0.7 0.8 2.6 0.7 0.8 0.7
time (sec) N/A 0.009 0.006 0.008 0.818 0.268 4.135 0.272 0.616




















Problem 686 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 12 12 12 7 11 23 0 8 22
normalized size 1 1. 1. 0.58 0.92 1.92 0. 0.67 1.83
time (sec) N/A 0.016 0.01 0.005 0.797 0.267 0. 0.269 0.702




















Problem 687 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A B B A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 12 12 45 31 11 23 41 18 22
normalized size 1 1. 3.75 2.58 0.92 1.92 3.42 1.5 1.83
time (sec) N/A 0.023 0.019 0.009 0.82 0.269 3.795 0.27 1.52




















Problem 688 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A B A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 12 12 45 7 11 23 0 8 22
normalized size 1 1. 3.75 0.58 0.92 1.92 0. 0.67 1.83
time (sec) N/A 0.02 0.01 0.008 0.765 0.273 0. 0.268 0.772




















Problem 689 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 4 4 4 5 11 23 0 5 24
normalized size 1 1. 1. 1.25 2.75 5.75 0. 1.25 6.
time (sec) N/A 0.011 0.009 0.004 0.763 0.272 0. 0.268 0.705




















Problem 690 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A B B A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 4 4 42 29 11 23 41 18 24
normalized size 1 1. 10.5 7.25 2.75 5.75 10.25 4.5 6.
time (sec) N/A 0.02 0.016 0.008 0.755 0.27 3.752 0.269 1.523




















Problem 691 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A B A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 4 4 42 5 11 23 0 5 24
normalized size 1 1. 10.5 1.25 2.75 5.75 0. 1.25 6.
time (sec) N/A 0.015 0.007 0.007 0.75 0.273 0. 0.268 0.774




















Problem 692 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 11 11 11 8 9 9 8 9 8
normalized size 1 1. 1. 0.73 0.82 0.82 0.73 0.82 0.73
time (sec) N/A 0.006 0.003 0.001 0.681 0.264 0.063 0.265 0.639




















Problem 693 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 11 11 11 8 9 9 22 9 0
normalized size 1 1. 1. 0.73 0.82 0.82 2. 0.82 0.
time (sec) N/A 0.022 0.001 0.002 0.675 0.261 2.912 0.264 0.




















Problem 694 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 27 27 27 30 3 42 7 14 20
normalized size 1 1. 1. 1.11 0.11 1.56 0.26 0.52 0.74
time (sec) N/A 0.028 0.012 0.008 0.79 0.268 2.931 0.27 0.693




















Problem 695 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 27 27 27 30 3 42 0 14 0
normalized size 1 1. 1. 1.11 0.11 1.56 0. 0.52 0.
time (sec) N/A 0.04 0.008 0.005 0.792 0.274 0. 0.269 0.




















Problem 696 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 33 33 56 28 19 19 15 20 29
normalized size 1 1. 1.7 0.85 0.58 0.58 0.45 0.61 0.88
time (sec) N/A 0.029 0.034 0.005 0.677 0.266 3.478 0.265 0.717




















Problem 697 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 33 33 56 28 19 31 0 28 0
normalized size 1 1. 1.7 0.85 0.58 0.94 0. 0.85 0.
time (sec) N/A 0.04 0.005 0.005 0.716 0.266 0. 0.265 0.




















Problem 698 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 11 11 11 10 12 12 8 12 8
normalized size 1 1. 1. 0.91 1.09 1.09 0.73 1.09 0.73
time (sec) N/A 0.006 0.003 0.003 0.681 0.265 0.066 0.261 0.526




















Problem 699 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A B B A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 11 11 23 20 16 28 0 20 8
normalized size 1 1. 2.09 1.82 1.45 2.55 0. 1.82 0.73
time (sec) N/A 0.006 0.012 0.003 0.689 0.262 0. 0.265 1.251




















Problem 700 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 9 9 9 8 9 9 7 9 7
normalized size 1 1. 1. 0.89 1. 1. 0.78 1. 0.78
time (sec) N/A 0.004 0.002 0.003 0.683 0.259 0.065 0.265 0.523




















Problem 701 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A B B A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 9 9 25 22 9 31 0 18 7
normalized size 1 1. 2.78 2.44 1. 3.44 0. 2. 0.78
time (sec) N/A 0.005 0.013 0.003 0.689 0.267 0. 0.264 1.406




















Problem 702 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 13 13 13 10 12 16 10 12 10
normalized size 1 1. 1. 0.77 0.92 1.23 0.77 0.92 0.77
time (sec) N/A 0.005 0.002 0.002 0.682 0.271 0.068 0.263 0.532




















Problem 703 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 13 13 25 20 16 39 0 20 10
normalized size 1 1. 1.92 1.54 1.23 3. 0. 1.54 0.77
time (sec) N/A 0.006 0.011 0.003 0.692 0.265 0. 0.267 1.242




















Problem 704 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 11 11 11 8 9 9 8 9 8
normalized size 1 1. 1. 0.73 0.82 0.82 0.73 0.82 0.73
time (sec) N/A 0.004 0.002 0.003 0.678 0.268 0.063 0.262 0.512




















Problem 705 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A B B A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 11 11 27 22 9 39 0 18 8
normalized size 1 1. 2.45 2. 0.82 3.55 0. 1.64 0.73
time (sec) N/A 0.005 0.012 0.003 0.691 0.264 0. 0.265 1.404




















Problem 706 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 35 35 45 67 55 78 97 53 31
normalized size 1 1. 1.29 1.91 1.57 2.23 2.77 1.51 0.89
time (sec) N/A 0.029 0.025 0.008 0.759 0.278 5.777 0.269 2.045




















Problem 707 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A B B A A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 35 35 79 86 55 138 0 0 31
normalized size 1 1. 2.26 2.46 1.57 3.94 0. 0. 0.89
time (sec) N/A 0.029 0.075 0.014 0.781 0.302 0. 0. 2.955




















Problem 708 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A B A A A F F(-2) A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 43 43 101 70 72 132 0 0 32
normalized size 1 1. 2.35 1.63 1.67 3.07 0. 0. 0.74
time (sec) N/A 0.085 0.089 0.018 0.767 0.28 0. 0. 4.679




















Problem 709 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 35 35 41 41 72 105 0 59 26
normalized size 1 1. 1.17 1.17 2.06 3. 0. 1.69 0.74
time (sec) N/A 0.122 0.044 0.011 0.758 0.277 0. 0.274 5.155




















Problem 710 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C C A A F F(-2) A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 51 51 74 130 105 166 0 0 41
normalized size 1 1. 1.45 2.55 2.06 3.25 0. 0. 0.8
time (sec) N/A 0.158 0.113 0.045 0.76 0.291 0. 0. 8.147




















Problem 711 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 45 45 51 75 105 139 0 117 36
normalized size 1 1. 1.13 1.67 2.33 3.09 0. 2.6 0.8
time (sec) N/A 0.196 0.078 0.015 0.756 0.284 0. 0.278 8.324




















Problem 712 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 2 2 2 3 3 24 2 3 2
normalized size 1 1. 1. 1.5 1.5 12. 1. 1.5 1.
time (sec) N/A 0.004 0.006 0.003 0.755 0.267 0.29 0.267 0.099




















Problem 713 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A B B A A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 2 2 32 29 3 36 0 0 2
normalized size 1 1. 16. 14.5 1.5 18. 0. 0. 1.
time (sec) N/A 0.005 0.017 0.017 0.778 0.27 0. 0. 1.299




















Problem 714 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 2 2 2 3 3 19 2 19 2
normalized size 1 1. 1. 1.5 1.5 9.5 1. 9.5 1.
time (sec) N/A 0.004 0.005 0.003 0.799 0.266 0.28 0.263 0.089




















Problem 715 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A B B A A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 2 2 42 29 3 109 0 0 2
normalized size 1 1. 21. 14.5 1.5 54.5 0. 0. 1.
time (sec) N/A 0.005 0.015 0.011 0.779 0.266 0. 0. 1.514




















Problem 716 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 23 23 20 18 23 109 15 23 15
normalized size 1 1. 0.87 0.78 1. 4.74 0.65 1. 0.65
time (sec) N/A 0.01 0.009 0.003 0.794 0.264 0.449 0.264 0.619




















Problem 717 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A B B A A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 23 23 50 42 23 81 0 0 15
normalized size 1 1. 2.17 1.83 1. 3.52 0. 0. 0.65
time (sec) N/A 0.011 0.045 0.011 0.839 0.269 0. 0. 1.393




















Problem 718 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 21 21 18 16 20 105 15 34 15
normalized size 1 1. 0.86 0.76 0.95 5. 0.71 1.62 0.71
time (sec) N/A 0.009 0.007 0.002 0.776 0.263 0.448 0.267 0.58




















Problem 719 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A B B A A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 21 21 70 47 20 162 0 0 15
normalized size 1 1. 3.33 2.24 0.95 7.71 0. 0. 0.71
time (sec) N/A 0.009 0.075 0.011 0.802 0.273 0. 0. 1.608




















Problem 720 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 49 57 53 0 0 0 0 0 42
normalized size 1 1.16 1.08 0. 0. 0. 0. 0. 0.86
time (sec) N/A 0.04 0.028 0.055 0. 0. 0. 0. 3.982




















Problem 721 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 28 28 23 21 0 88 58 41 0
normalized size 1 1. 0.82 0.75 0. 3.14 2.07 1.46 0.
time (sec) N/A 0.02 0.025 0.003 0. 0.266 1.467 0.267 0.




















Problem 722 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 37 37 37 175 0 113 17 189 0
normalized size 1 1. 1. 4.73 0. 3.05 0.46 5.11 0.
time (sec) N/A 0.092 0.021 0.047 0. 0.269 0.377 0.274 0.




















Problem 723 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 40 40 74 33 0 159 27 119 0
normalized size 1 1. 1.85 0.82 0. 3.98 0.68 2.98 0.
time (sec) N/A 0.09 0.047 0.012 0. 0.276 0.55 0.269 0.




















Problem 724 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B A A F A F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 54 54 77 111 127 90 0 158 0
normalized size 1 1. 1.43 2.06 2.35 1.67 0. 2.93 0.
time (sec) N/A 0.258 0.042 0.019 0.767 0.281 0. 0.282 0.




















Problem 725 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 60 60 77 111 0 90 0 158 0
normalized size 1 1. 1.28 1.85 0. 1.5 0. 2.63 0.
time (sec) N/A 0.519 0.03 0.007 0. 0.274 0. 0.289 0.




















Problem 726 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 51 51 41 38 0 89 0 68 0
normalized size 1 1. 0.8 0.75 0. 1.75 0. 1.33 0.
time (sec) N/A 0.198 0.039 0.007 0. 0.273 0. 0.272 0.




















Problem 727 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 51 51 41 38 73 89 0 68 0
normalized size 1 1. 0.8 0.75 1.43 1.75 0. 1.33 0.
time (sec) N/A 0.181 0.021 0.005 0.771 0.272 0. 0.267 0.




















Problem 728 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 51 51 41 51 73 86 0 0 0
normalized size 1 1. 0.8 1. 1.43 1.69 0. 0. 0.
time (sec) N/A 0.264 0.018 0.01 0.804 0.304 0. 0. 0.




















Problem 729 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A F F(-2) F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 54 54 86 51 0 86 0 0 0
normalized size 1 1. 1.59 0.94 0. 1.59 0. 0. 0.
time (sec) N/A 0.118 0.049 0.009 0. 0.276 0. 0. 0.




















Problem 730 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 52 52 49 42 0 81 0 55 44
normalized size 1 1. 0.94 0.81 0. 1.56 0. 1.06 0.85
time (sec) N/A 0.178 0.03 0.016 0. 0.273 0. 0.282 15.496




















Problem 731 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 68 68 67 60 32 57 0 82 60
normalized size 1 1. 0.99 0.88 0.47 0.84 0. 1.21 0.88
time (sec) N/A 0.335 0.071 0.04 0.817 0.28 0. 0.275 17.771




















Problem 732 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 27 27 23 20 0 27 0 0 24
normalized size 1 1. 0.85 0.74 0. 1. 0. 0. 0.89
time (sec) N/A 0.068 0.02 0.004 0. 0.262 0. 0. 1.873




















Problem 733 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 14 14 12 13 0 22 0 0 235
normalized size 1 1. 0.86 0.93 0. 1.57 0. 0. 16.79
time (sec) N/A 0.246 0.02 0.009 0. 0.274 0. 0. 50.079




















Problem 734 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 12 12 12 11 0 22 0 0 15
normalized size 1 1. 1. 0.92 0. 1.83 0. 0. 1.25
time (sec) N/A 0.111 0.012 0.006 0. 0.27 0. 0. 12.437




















Problem 735 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 36 36 29 34 0 41 0 0 0
normalized size 1 1. 0.81 0.94 0. 1.14 0. 0. 0.
time (sec) N/A 0.223 0.027 0.007 0. 0.272 0. 0. 0.




















Problem 736 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 33 33 29 34 0 41 0 0 0
normalized size 1 1. 0.88 1.03 0. 1.24 0. 0. 0.
time (sec) N/A 0.303 0.012 0.007 0. 0.277 0. 0. 0.




















Problem 737 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 70 70 88 117 0 1 0 0 63
normalized size 1 1. 1.26 1.67 0. 0.01 0. 0. 0.9
time (sec) N/A 0.163 0.08 0.072 0. 0.288 0. 0. 8.693




















Problem 738 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 83 83 52 63 31 122 0 65 70
normalized size 1 1. 0.63 0.76 0.37 1.47 0. 0.78 0.84
time (sec) N/A 0.312 0.042 0.039 0.829 0.286 0. 0.286 24.355




















Problem 739 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 47 73 91 63 0 107 0 24 61
normalized size 1 1.55 1.94 1.34 0. 2.28 0. 0.51 1.3
time (sec) N/A 0.784 0.04 0.028 0. 0.279 0. 0.266 35.413




















Problem 740 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F(-1) A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 123 123 70 75 31 221 0 45 0
normalized size 1 1. 0.57 0.61 0.25 1.8 0. 0.37 0.
time (sec) N/A 0.518 0.04 0.012 0.816 0.279 0. 0.269 0.




















Problem 741 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 133 133 64 62 0 169 0 116 112
normalized size 1 1. 0.48 0.47 0. 1.27 0. 0.87 0.84
time (sec) N/A 0.195 0.084 0.024 0. 0.302 0. 0.27 9.302




















Problem 742 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 90 90 44 49 47 123 0 90 76
normalized size 1 1. 0.49 0.54 0.52 1.37 0. 1. 0.84
time (sec) N/A 0.13 0.034 0.014 0.788 0.269 0. 0.264 6.737




















Problem 743 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 61 61 40 42 14 112 0 66 49
normalized size 1 1. 0.66 0.69 0.23 1.84 0. 1.08 0.8
time (sec) N/A 0.073 0.026 0.008 0.785 0.268 0. 0.263 4.696




















Problem 744 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F A F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 109 109 82 79 46 290 0 119 0
normalized size 1 1. 0.75 0.72 0.42 2.66 0. 1.09 0.
time (sec) N/A 0.165 0.065 0.047 0.78 0.308 0. 0.307 0.




















Problem 745 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A F F F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 144 144 184 217 0 377 0 0 0
normalized size 1 1. 1.28 1.51 0. 2.62 0. 0. 0.
time (sec) N/A 0.213 0.181 0.015 0. 0.282 0. 0. 0.




















Problem 746 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 28 28 25 28 26 42 0 41 24
normalized size 1 1. 0.89 1. 0.93 1.5 0. 1.46 0.86
time (sec) N/A 0.212 0.021 0.006 0.785 0.263 0. 0.267 9.253




















Problem 747 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 75 75 66 60 0 1 0 96 63
normalized size 1 1. 0.88 0.8 0. 0.01 0. 1.28 0.84
time (sec) N/A 0.238 0.05 0.017 0. 0.285 0. 0.287 7.51




















Problem 748 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 21 21 21 26 26 26 53 38 15
normalized size 1 1. 1. 1.24 1.24 1.24 2.52 1.81 0.71
time (sec) N/A 0.021 0.008 0.005 0.687 0.273 4.624 0.263 2.131




















Problem 749 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 21 21 21 26 23 26 66 38 15
normalized size 1 1. 1. 1.24 1.1 1.24 3.14 1.81 0.71
time (sec) N/A 0.031 0.013 0.003 0.7 0.303 4.698 0.272 1.954




















Problem 750 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 73 73 75 64 0 1 0 88 60
normalized size 1 1. 1.03 0.88 0. 0.01 0. 1.21 0.82
time (sec) N/A 0.238 0.067 0.01 0. 0.287 0. 0.272 8.25




















Problem 751 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 48 48 32 37 62 43 0 109 39
normalized size 1 1. 0.67 0.77 1.29 0.9 0. 2.27 0.81
time (sec) N/A 0.192 0.024 0.007 0.686 0.279 0. 0.296 6.299




















Problem 752 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 112 112 99 79 0 1 0 135 99
normalized size 1 1. 0.88 0.71 0. 0.01 0. 1.21 0.88
time (sec) N/A 0.275 0.089 0.01 0. 0.297 0. 0.272 10.483




















Problem 753 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F(-1) A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 254 254 135 236 0 1 0 239 0
normalized size 1 1. 0.53 0.93 0. 0. 0. 0.94 0.
time (sec) N/A 0.472 0.202 0.048 0. 0.428 0. 0.28 0.




















Problem 754 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 32 32 29 26 95 117 0 450 26
normalized size 1 1. 0.91 0.81 2.97 3.66 0. 14.06 0.81
time (sec) N/A 0.031 0.027 0.005 0.707 0.291 0. 0.27 2.689




















Problem 755 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F(-1) A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 208 208 124 205 0 1 0 207 0
normalized size 1 1. 0.6 0.99 0. 0. 0. 1. 0.
time (sec) N/A 0.156 0.112 0.01 0. 0.358 0. 0.281 0.




















Problem 756 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F(-1) A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 194 194 122 221 0 1 0 194 0
normalized size 1 1. 0.63 1.14 0. 0.01 0. 1. 0.
time (sec) N/A 0.404 0.156 0.021 0. 0.32 0. 0.276 0.




















Problem 757 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F(-1) A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 209 209 122 215 0 1 0 250 0
normalized size 1 1. 0.58 1.03 0. 0. 0. 1.2 0.
time (sec) N/A 0.348 0.125 0.017 0. 0.345 0. 0.278 0.




















Problem 758 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F(-1) A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 204 204 133 238 0 1 0 204 0
normalized size 1 1. 0.65 1.17 0. 0. 0. 1. 0.
time (sec) N/A 0.424 0.155 0.018 0. 0.301 0. 0.277 0.




















Problem 759 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade N/A A A A A F(-2) 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 0
normalized size 1 0. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.057 0.101 0.026 0. 0. 0. 0. 0.




















Problem 760 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade N/A A A A A F(-2) 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 0
normalized size 1 0. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.06 0.109 0.028 0. 0. 0. 0. 0.




















Problem 761 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade N/A A A A A F(-2) 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 0
normalized size 1 0. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.174 0.032 0.025 0. 0. 0. 0. 0.




















Problem 762 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade N/A A A A A F(-2) 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 0
normalized size 1 0. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.19 0.033 0.025 0. 0. 0. 0. 0.




















Problem 763 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade N/A A A A A F(-2) A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 11 0 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.023 0.005 0.005 0. 0. 0. 0. 0.




















Problem 764 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade N/A A A A A F(-2) A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 11 0 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.022 0.006 0.008 0. 0. 0. 0. 0.




















Problem 765 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade N/A A A A A F(-2) A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 13 0 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.015 0.006 0. 0. 0. 0. 0. 0.




















Problem 766 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade N/A A A A A F(-2) 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 0
normalized size 1 0. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.017 0.008 0. 0. 0. 0. 0. 0.




















Problem 767 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade N/A A A A A F(-2) A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 15 0 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.016 0.012 0.001 0. 0. 0. 0. 0.




















Problem 768 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade N/A A A A A F(-2) 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 0
normalized size 1 0. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.017 0.012 0. 0. 0. 0. 0. 0.




















Problem 769 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F A F F A
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 47 47 0 0 0 1 0 0 44
normalized size 1 1. 0. 0. 0. 0.02 0. 0. 0.94
time (sec) N/A 0.174 0.083 0.05 0. 1.523 0. 0. 6.27




















Problem 770 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F A F F A
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 48 48 0 0 0 1 0 0 44
normalized size 1 1. 0. 0. 0. 0.02 0. 0. 0.92
time (sec) N/A 0.177 0.08 0.052 0. 1.611 0. 0. 6.421




















Problem 771 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F(-1) F F A
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 169 169 0 0 0 0 0 0 146
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.86
time (sec) N/A 0.469 0.095 0.052 0. 0. 0. 0. 19.872




















Problem 772 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F(-1) F F A
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 268 268 0 0 0 0 0 0 231
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.86
time (sec) N/A 0.626 0.098 0.039 0. 0. 0. 0. 26.943




















Problem 773 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 41 41 41 28 36 34 0 36 37
normalized size 1 1. 1. 0.68 0.88 0.83 0. 0.88 0.9
time (sec) N/A 0.071 0.02 0.006 0.755 0.289 0. 0.261 7.112




















Problem 774 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 26 26 26 21 27 27 24 27 0
normalized size 1 1. 1. 0.81 1.04 1.04 0.92 1.04 0.
time (sec) N/A 0.061 0.015 0.005 0.756 0.279 26.889 0.262 0.




















Problem 775 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 42 42 42 48 41 41 39 41 0
normalized size 1 1. 1. 1.14 0.98 0.98 0.93 0.98 0.
time (sec) N/A 0.241 0.018 0.006 0.758 0.281 18.206 0.261 0.




















Problem 776 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A B B F(-2) A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 20 20 54 50 0 1 0 59 20
normalized size 1 1. 2.7 2.5 0. 0.05 0. 2.95 1.
time (sec) N/A 0.029 0.042 0.015 0. 0.287 0. 0.263 2.807




















Problem 777 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F(-2) A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 20 20 64 62 0 1 0 54 20
normalized size 1 1. 3.2 3.1 0. 0.05 0. 2.7 1.
time (sec) N/A 0.031 0.045 0.013 0. 0.288 0. 0.266 3.356




















Problem 778 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 121 121 173 247 0 1 0 0 99
normalized size 1 1. 1.43 2.04 0. 0.01 0. 0. 0.82
time (sec) N/A 0.467 0.163 0.042 0. 1.032 0. 0. 19.926




















Problem 779 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 181 181 219 385 0 1 0 0 146
normalized size 1 1. 1.21 2.13 0. 0.01 0. 0. 0.81
time (sec) N/A 0.734 0.48 0.046 0. 74.255 0. 0. 32.488




















Problem 780 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 26 26 26 17 22 26 0 15 22
normalized size 1 1. 1. 0.65 0.85 1. 0. 0.58 0.85
time (sec) N/A 0.015 0.016 0.005 0.71 0.267 0. 0.261 2.434




















Problem 781 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 26 26 45 23 30 43 0 30 17
normalized size 1 1. 1.73 0.88 1.15 1.65 0. 1.15 0.65
time (sec) N/A 0.031 0.028 0.009 0.786 0.265 0. 0.267 2.165




















Problem 782 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 15 15 13 16 15 15 12 15 12
normalized size 1 1. 0.87 1.07 1. 1. 0.8 1. 0.8
time (sec) N/A 0.008 0.017 0.005 0.674 0.259 0.381 0.259 1.137




















Problem 783 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 22 22 19 23 38 24 0 36 17
normalized size 1 1. 0.86 1.05 1.73 1.09 0. 1.64 0.77
time (sec) N/A 0.018 0.025 0.004 0.74 0.259 0. 0.268 1.872




















Problem 784 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A B A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 12 12 37 13 12 23 0 23 10
normalized size 1 1. 3.08 1.08 1. 1.92 0. 1.92 0.83
time (sec) N/A 0.022 0.034 0.009 0.765 0.264 0. 0.267 2.181




















Problem 785 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A B A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 12 12 37 15 15 23 0 23 10
normalized size 1 1. 3.08 1.25 1.25 1.92 0. 1.92 0.83
time (sec) N/A 0.024 0.027 0.009 0.773 0.265 0. 0.264 2.247




















Problem 786 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 15 15 12 17 18 18 10 18 10
normalized size 1 1. 0.8 1.13 1.2 1.2 0.67 1.2 0.67
time (sec) N/A 0.009 0.014 0.004 0.696 0.263 0.3 0.263 1.324




















Problem 787 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A B A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 54 54 120 54 57 66 0 72 44
normalized size 1 1. 2.22 1. 1.06 1.22 0. 1.33 0.81
time (sec) N/A 0.114 0.082 0.01 0.766 0.275 0. 0.267 6.657




















Problem 788 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A C F F(-1) F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 59 59 57 342 0 0 0 61 49
normalized size 1 1. 0.97 5.8 0. 0. 0. 1.03 0.83
time (sec) N/A 0.113 0.04 0.108 0. 0. 0. 1.006 6.503




















Problem 789 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 59 59 41 28 38 41 0 39 51
normalized size 1 1. 0.69 0.47 0.64 0.69 0. 0.66 0.86
time (sec) N/A 0.087 0.021 0.012 0.722 0.301 0. 0.281 4.639




















Problem 790 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 94 94 51 38 62 54 0 63 83
normalized size 1 1. 0.54 0.4 0.66 0.57 0. 0.67 0.88
time (sec) N/A 0.149 0.022 0.005 0.711 0.301 0. 0.269 7.872




















Problem 791 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 18 18 18 20 16 19 26 24 17
normalized size 1 1. 1. 1.11 0.89 1.06 1.44 1.33 0.94
time (sec) N/A 0.086 0.021 0.008 0.776 0.274 1.892 0.269 4.513




















Problem 792 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 107 107 82 81 69 84 0 81 94
normalized size 1 1. 0.77 0.76 0.64 0.79 0. 0.76 0.88
time (sec) N/A 0.064 0.044 0.009 0.795 0.282 0. 0.268 5.454




















Problem 793 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 25 25 25 24 19 86 0 19 0
normalized size 1 1. 1. 0.96 0.76 3.44 0. 0.76 0.
time (sec) N/A 0.031 0.038 0.006 0.707 0.277 0. 0.264 0.




















Problem 794 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 42 42 42 34 45 57 46 45 42
normalized size 1 1. 1. 0.81 1.07 1.36 1.1 1.07 1.
time (sec) N/A 0.063 0.017 0.006 0.788 0.273 1.902 0.263 5.45




















Problem 795 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 32 32 32 26 34 49 0 34 0
normalized size 1 1. 1. 0.81 1.06 1.53 0. 1.06 0.
time (sec) N/A 0.05 0.01 0.004 0.763 0.273 0. 0.262 0.




















Problem 796 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 76 76 49 53 0 128 0 61 65
normalized size 1 1. 0.64 0.7 0. 1.68 0. 0.8 0.86
time (sec) N/A 0.05 0.028 0.003 0. 0.301 0. 0.269 2.481




















Problem 797 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 46 46 39 53 0 201 61 107 0
normalized size 1 1. 0.85 1.15 0. 4.37 1.33 2.33 0.
time (sec) N/A 0.146 0.041 0.005 0. 0.277 7.151 0.267 0.




















Problem 798 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 20 20 23 18 0 19 0 0 17
normalized size 1 1. 1.15 0.9 0. 0.95 0. 0. 0.85
time (sec) N/A 0.019 0.019 0.004 0. 0.268 0. 0. 1.261




















Problem 799 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A C A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 35 36 18 35 51 26 68 0 31
normalized size 1 1.03 0.51 1. 1.46 0.74 1.94 0. 0.89
time (sec) N/A 0.03 0.019 0.012 0.895 0.283 3.99 0. 1.44




















Problem 800 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F A A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 15 15 15 0 18 22 0 0 12
normalized size 1 1. 1. 0. 1.2 1.47 0. 0. 0.8
time (sec) N/A 0.058 0.086 0.069 0.835 0.297 0. 0. 3.842




















Problem 801 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 53 53 28 25 50 32 0 50 46
normalized size 1 1. 0.53 0.47 0.94 0.6 0. 0.94 0.87
time (sec) N/A 0.05 0.014 0.006 0.691 0.273 0. 0.264 3.459




















Problem 802 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 31 31 31 26 34 34 27 34 0
normalized size 1 1. 1. 0.84 1.1 1.1 0.87 1.1 0.
time (sec) N/A 0.034 0.014 0.011 0.705 0.272 0.588 0.262 0.




















Problem 803 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 11 11 11 14 12 57 8 12 8
normalized size 1 1. 1. 1.27 1.09 5.18 0.73 1.09 0.73
time (sec) N/A 0.007 0.014 0.005 0.705 0.263 0.294 0.262 1.051




















Problem 804 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 6 6 6 5 5 5 32 5 5
normalized size 1 1. 1. 0.83 0.83 0.83 5.33 0.83 0.83
time (sec) N/A 0.008 0.006 0.005 0.775 0.27 3.303 0.26 1.033




















Problem 805 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 20 20 17 17 22 22 0 34 14
normalized size 1 1. 0.85 0.85 1.1 1.1 0. 1.7 0.7
time (sec) N/A 0.019 0.014 0.004 0.783 0.262 0. 0.267 1.766




















Problem 806 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 17 17 17 12 35 15 12 15 0
normalized size 1 1. 1. 0.71 2.06 0.88 0.71 0.88 0.
time (sec) N/A 0.009 0.004 0.002 0.707 0.263 0.278 0.262 0.




















Problem 807 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 19 19 19 12 15 15 15 15 15
normalized size 1 1. 1. 0.63 0.79 0.79 0.79 0.79 0.79
time (sec) N/A 0.01 0.006 0.002 0.678 0.26 1.312 0.261 1.238




















Problem 808 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 41 41 41 28 36 34 37 36 37
normalized size 1 1. 1. 0.68 0.88 0.83 0.9 0.88 0.9
time (sec) N/A 0.035 0.013 0.002 0.755 0.267 9.666 0.263 2.88




















Problem 809 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 67 67 51 64 85 85 39 0 63
normalized size 1 1. 0.76 0.96 1.27 1.27 0.58 0. 0.94
time (sec) N/A 0.069 0.027 0.006 0.785 0.287 3.863 0. 2.383




















Problem 810 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 11 11 11 8 9 9 8 9 8
normalized size 1 1. 1. 0.73 0.82 0.82 0.73 0.82 0.73
time (sec) N/A 0.006 0.001 0. 0.684 0.26 0.068 0.28 0.635




















Problem 811 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 11 11 11 8 9 9 8 9 8
normalized size 1 1. 1. 0.73 0.82 0.82 0.73 0.82 0.73
time (sec) N/A 0.006 0.003 0.002 0.703 0.265 0.068 0.26 0.633




















Problem 812 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A C A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 11 11 11 46 9 9 8 9 8
normalized size 1 1. 1. 4.18 0.82 0.82 0.73 0.82 0.73
time (sec) N/A 0.006 0.001 0.013 0.705 0.267 12.218 0.265 1.196




















Problem 813 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 61 61 87 49 0 1 0 92 58
normalized size 1 1. 1.43 0.8 0. 0.02 0. 1.51 0.95
time (sec) N/A 0.058 0.049 0.012 0. 0.284 0. 0.295 2.433




















Problem 814 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C A F(-2) A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 65 65 99 55 0 1 0 80 60
normalized size 1 1. 1.52 0.85 0. 0.02 0. 1.23 0.92
time (sec) N/A 0.059 0.127 0.017 0. 0.279 0. 0.291 2.494




















Problem 815 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A B A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 13 13 33 10 28 28 26 30 12
normalized size 1 1. 2.54 0.77 2.15 2.15 2. 2.31 0.92
time (sec) N/A 0.017 0.008 0.006 0.809 0.283 1.318 0.264 1.9




















Problem 816 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A B A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 13 13 33 10 28 28 26 30 12
normalized size 1 1. 2.54 0.77 2.15 2.15 2. 2.31 0.92
time (sec) N/A 0.019 0.008 0.005 0.795 0.28 164.965 0.269 2.373




















Problem 817 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 72 72 72 82 104 0 168 108 78
normalized size 1 1. 1. 1.14 1.44 0. 2.33 1.5 1.08
time (sec) N/A 0.202 0.16 0.023 0.828 0. 4.223 0.285 4.729




















Problem 818 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 37 37 23 23 20 30 0 32 32
normalized size 1 1. 0.62 0.62 0.54 0.81 0. 0.86 0.86
time (sec) N/A 0.046 0.011 0.003 0.721 0.266 0. 0.263 3.032




















Problem 819 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A B A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 12 12 37 13 12 23 0 23 10
normalized size 1 1. 3.08 1.08 1. 1.92 0. 1.92 0.83
time (sec) N/A 0.023 0.033 0. 0.786 0.267 0. 0.268 2.198




















Problem 820 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 95 95 60 67 0 89 0 69 87
normalized size 1 1. 0.63 0.71 0. 0.94 0. 0.73 0.92
time (sec) N/A 0.111 0.048 0.005 0. 1.229 0. 0.269 6.771




















Problem 821 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 35 35 28 24 31 28 184 31 29
normalized size 1 1. 0.8 0.69 0.89 0.8 5.26 0.89 0.83
time (sec) N/A 0.026 0.013 0.004 0.692 0.269 3.626 0.26 1.197




















Problem 822 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 37 37 30 28 36 30 265 43 31
normalized size 1 1. 0.81 0.76 0.97 0.81 7.16 1.16 0.84
time (sec) N/A 0.031 0.014 0.006 0.72 0.266 3.497 0.262 1.376




















Problem 823 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 29 29 26 48 0 45 32 39 27
normalized size 1 1. 0.9 1.66 0. 1.55 1.1 1.34 0.93
time (sec) N/A 0.091 0.017 0.01 0. 0.27 6.203 0.266 4.262




















Problem 824 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 25 25 26 48 0 49 87 43 26
normalized size 1 1. 1.04 1.92 0. 1.96 3.48 1.72 1.04
time (sec) N/A 0.091 0.02 0.004 0. 0.264 8.697 0.265 5.618




















Problem 825 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 21 21 21 16 0 77 56 20 15
normalized size 1 1. 1. 0.76 0. 3.67 2.67 0.95 0.71
time (sec) N/A 0.04 0.022 0.004 0. 0.261 1.493 0.261 2.58




















Problem 826 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 65 65 95 175 0 282 0 142 49
normalized size 1 1. 1.46 2.69 0. 4.34 0. 2.18 0.75
time (sec) N/A 0.125 0.068 0.013 0. 0.269 0. 0.293 7.547




















Problem 827 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C A F A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 31 31 101 28 0 103 0 85 26
normalized size 1 1. 3.26 0.9 0. 3.32 0. 2.74 0.84
time (sec) N/A 0.098 0.065 0.01 0. 0.265 0. 0.269 6.945




















Problem 828 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 82 82 62 54 180 73 0 0 71
normalized size 1 1. 0.76 0.66 2.2 0.89 0. 0. 0.87
time (sec) N/A 0.086 0.04 0.005 0.751 0.701 0. 0. 4.779




















Problem 829 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 74 74 82 56 74 74 155 74 65
normalized size 1 1. 1.11 0.76 1. 1. 2.09 1. 0.88
time (sec) N/A 0.183 0.029 0.011 0.774 0.273 3.83 0.277 6.929




















Problem 830 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 115 115 125 81 108 105 223 108 0
normalized size 1 1. 1.09 0.7 0.94 0.91 1.94 0.94 0.
time (sec) N/A 0.243 0.036 0.01 0.788 0.278 12.105 0.271 0.




















Problem 831 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 4 4 4 51 0 27 0 5 3
normalized size 1 1. 1. 12.75 0. 6.75 0. 1.25 0.75
time (sec) N/A 0.072 0.02 0.012 0. 0.267 0. 0.268 4.153




















Problem 832 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 22 22 34 41 68 54 0 42 19
normalized size 1 1. 1.55 1.86 3.09 2.45 0. 1.91 0.86
time (sec) N/A 0.029 0.023 0.005 0.699 0.265 0. 0.267 1.6




















Problem 833 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 24 24 40 40 50 35 0 38 19
normalized size 1 1. 1.67 1.67 2.08 1.46 0. 1.58 0.79
time (sec) N/A 0.029 0.023 0.008 0.768 0.269 0. 0.266 1.602




















Problem 834 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 24 28 30 45 69 54 0 47 19
normalized size 1 1.17 1.25 1.88 2.88 2.25 0. 1.96 0.79
time (sec) N/A 0.035 0.022 0.008 0.718 0.269 0. 0.268 1.909




















Problem 835 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 24 24 30 60 51 51 0 51 20
normalized size 1 1. 1.25 2.5 2.12 2.12 0. 2.12 0.83
time (sec) N/A 0.042 0.011 0.008 0.709 0.276 0. 0.274 2.636




















Problem 836 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 22 22 42 45 69 57 0 47 24
normalized size 1 1. 1.91 2.05 3.14 2.59 0. 2.14 1.09
time (sec) N/A 0.018 0.028 0.004 0.688 0.3 0. 0.272 1.884




















Problem 837 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 29 29 43 44 47 34 0 47 22
normalized size 1 1. 1.48 1.52 1.62 1.17 0. 1.62 0.76
time (sec) N/A 0.033 0.024 0.008 0.763 0.268 0. 0.27 1.74




















Problem 838 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 33 33 45 28 49 47 0 34 24
normalized size 1 1. 1.36 0.85 1.48 1.42 0. 1.03 0.73
time (sec) N/A 0.027 0.043 0.01 0.752 0.265 0. 0.261 0.953




















Problem 839 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A B A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 8 8 38 7 8 22 0 8 5
normalized size 1 1. 4.75 0.88 1. 2.75 0. 1. 0.62
time (sec) N/A 0.012 0.012 0.006 0.76 0.274 0. 0.264 0.645




















Problem 840 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 13 13 11 15 15 24 0 22 10
normalized size 1 1. 0.85 1.15 1.15 1.85 0. 1.69 0.77
time (sec) N/A 0.025 0.009 0.006 0.68 0.267 0. 0.262 1.639




















Problem 841 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 22 22 38 41 54 45 0 99 20
normalized size 1 1. 1.73 1.86 2.45 2.05 0. 4.5 0.91
time (sec) N/A 0.099 0.033 0.019 0.778 0.274 0. 0.29 6.164




















Problem 842 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B A F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 24 24 39 32 15 0 14 18 42
normalized size 1 1. 1.62 1.33 0.62 0. 0.58 0.75 1.75
time (sec) N/A 0.052 0.036 0.018 0.761 0. 0.612 0.262 2.007




















Problem 843 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 71 71 84 122 0 88 0 82 56
normalized size 1 1. 1.18 1.72 0. 1.24 0. 1.15 0.79
time (sec) N/A 0.058 0.195 0.022 0. 0.282 0. 0.265 2.01




















Problem 844 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 32 32 64 28 0 35 0 30 26
normalized size 1 1. 2. 0.88 0. 1.09 0. 0.94 0.81
time (sec) N/A 0.03 0.04 0.006 0. 0.271 0. 0.279 1.206




















Problem 845 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 48 48 59 114 0 0 0 0 49
normalized size 1 1. 1.23 2.38 0. 0. 0. 0. 1.02
time (sec) N/A 0.141 0.095 0.016 0. 0. 0. 0. 12.187




















Problem 846 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 12 12 18 43 0 0 0 0 14
normalized size 1 1. 1.5 3.58 0. 0. 0. 0. 1.17
time (sec) N/A 0.038 0.025 0.01 0. 0. 0. 0. 3.233




















Problem 847 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 28 28 56 29 0 1 0 47 26
normalized size 1 1. 2. 1.04 0. 0.04 0. 1.68 0.93
time (sec) N/A 0.022 0.029 0.005 0. 0.273 0. 0.274 1.162




















Problem 848 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 28 28 56 29 0 1 0 47 26
normalized size 1 1. 2. 1.04 0. 0.04 0. 1.68 0.93
time (sec) N/A 0.025 0.01 0.007 0. 0.272 0. 0.274 1.252




















Problem 849 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 28 28 56 29 0 1 0 47 26
normalized size 1 1. 2. 1.04 0. 0.04 0. 1.68 0.93
time (sec) N/A 0.027 0.01 0.005 0. 0.273 0. 0.275 1.247




















Problem 850 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 28 28 56 29 0 1 0 47 26
normalized size 1 1. 2. 1.04 0. 0.04 0. 1.68 0.93
time (sec) N/A 0.028 0.01 0.005 0. 0.271 0. 0.273 1.245




















Problem 851 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 28 28 56 29 0 1 0 47 26
normalized size 1 1. 2. 1.04 0. 0.04 0. 1.68 0.93
time (sec) N/A 0.026 0.01 0.006 0. 0.272 0. 0.272 1.255




















Problem 852 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 28 28 56 29 0 1 0 47 26
normalized size 1 1. 2. 1.04 0. 0.04 0. 1.68 0.93
time (sec) N/A 0.027 0.01 0.005 0. 0.283 0. 0.276 1.252




















Problem 853 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 40 40 57 37 0 1 0 68 39
normalized size 1 1. 1.42 0.92 0. 0.02 0. 1.7 0.98
time (sec) N/A 0.036 0.023 0.005 0. 0.275 0. 0.284 2.107




















Problem 854 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 40 40 57 37 0 1 0 68 39
normalized size 1 1. 1.42 0.92 0. 0.02 0. 1.7 0.98
time (sec) N/A 0.036 0.01 0.007 0. 0.275 0. 0.321 2.176




















Problem 855 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 40 40 57 37 0 1 0 68 39
normalized size 1 1. 1.42 0.92 0. 0.02 0. 1.7 0.98
time (sec) N/A 0.036 0.009 0.005 0. 0.283 0. 0.28 2.199




















Problem 856 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 40 40 57 37 0 1 0 68 39
normalized size 1 1. 1.42 0.92 0. 0.02 0. 1.7 0.98
time (sec) N/A 0.039 0.01 0.006 0. 0.274 0. 0.275 2.205




















Problem 857 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A F A F F F(-1) F F F
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 63 0 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.046 0.028 0.011 0. 0. 0. 0. 0.




















Problem 858 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A F B F F F(-1) F F F
verified N/A N/A Yes TBD TBD TBD TBD TBD TBD
size 66 0 180 0 0 0 0 0 0
normalized size 1 0. 2.73 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.229 0.703 0.031 0. 0. 0. 0. 0.




















Problem 859 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A B F B F A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 78 319 34 438 0 448 0 294 0
normalized size 1 4.09 0.44 5.62 0. 5.74 0. 3.77 0.
time (sec) N/A 1.12 0.123 0.194 0. 0.327 0. 0.384 0.




















Problem 860 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 126 126 433 753 0 1114 0 0 141
normalized size 1 1. 3.44 5.98 0. 8.84 0. 0. 1.12
time (sec) N/A 0.355 0.689 0.143 0. 0.317 0. 0. 13.067




















Problem 861 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 22 22 24 0 0 77 0 0 17
normalized size 1 1. 1.09 0. 0. 3.5 0. 0. 0.77
time (sec) N/A 0.101 1.373 0.04 0. 0.787 0. 0. 4.332




















Problem 862 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F(-1) F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 40 40 50 0 0 0 0 0 34
normalized size 1 1. 1.25 0. 0. 0. 0. 0. 0.85
time (sec) N/A 0.221 0.162 0.035 0. 0. 0. 0. 6.401




















Problem 863 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F(-1) F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 41 41 47 0 0 0 0 0 34
normalized size 1 1. 1.15 0. 0. 0. 0. 0. 0.83
time (sec) N/A 0.24 0.152 0.036 0. 0. 0. 0. 6.468




















Problem 864 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C C F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 184 184 330 1528 0 0 0 0 160
normalized size 1 1. 1.79 8.3 0. 0. 0. 0. 0.87
time (sec) N/A 0.42 0.887 0.349 0. 0. 0. 0. 31.544




















Problem 865 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C C F F F F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 131 131 90 1036 0 0 0 0 0
normalized size 1 1. 0.69 7.91 0. 0. 0. 0. 0.
time (sec) N/A 0.202 0.098 0.036 0. 0. 0. 0. 0.




















Problem 866 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C C F A F(-1) F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 54 54 419 514 0 1 0 0 48
normalized size 1 1. 7.76 9.52 0. 0.02 0. 0. 0.89
time (sec) N/A 0.404 1.243 0.057 0. 12.955 0. 0. 24.684




















Problem 867 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C C F A F(-1) F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 53 53 416 517 0 1 0 0 48
normalized size 1 1. 7.85 9.75 0. 0.02 0. 0. 0.91
time (sec) N/A 0.419 1.175 0.067 0. 12.859 0. 0. 25.782




















Problem 868 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 84 84 154 69 0 262 0 221 78
normalized size 1 1. 1.83 0.82 0. 3.12 0. 2.63 0.93
time (sec) N/A 0.268 0.186 0.031 0. 0.302 0. 0.287 24.997




















Problem 869 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 20 20 17 23 9 30 36 20 15
normalized size 1 1. 0.85 1.15 0.45 1.5 1.8 1. 0.75
time (sec) N/A 0.011 0.009 0.005 0.758 0.262 1.801 0.259 3.405




















Problem 870 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F(-2) F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 46 46 38 0 0 0 0 0 41
normalized size 1 1. 0.83 0. 0. 0. 0. 0. 0.89
time (sec) N/A 0.038 0.032 0.027 0. 0. 0. 0. 4.216




















Problem 871 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C C F A F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 88 88 13884 242984 0 1 0 0 76
normalized size 1 1. 157.77 2761.18 0. 0.01 0. 0. 0.86
time (sec) N/A 0.417 6.324 0.181 0. 3.42 0. 0. 33.852




















Problem 872 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C C F A F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 88 88 15147 269221 0 1 0 0 78
normalized size 1 1. 172.12 3059.33 0. 0.01 0. 0. 0.89
time (sec) N/A 0.555 6.34 0.174 0. 3.417 0. 0. 49.368




















Problem 873 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A B F F F(-1) F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 46 46 199 0 0 0 0 0 41
normalized size 1 1. 4.33 0. 0. 0. 0. 0. 0.89
time (sec) N/A 0.971 1.185 0.05 0. 0. 0. 0. 17.856




















Problem 874 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A B F F F(-1) F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 46 46 213 0 0 0 0 0 42
normalized size 1 1. 4.63 0. 0. 0. 0. 0. 0.91
time (sec) N/A 0.973 1.127 0.048 0. 0. 0. 0. 17.559




















Problem 875 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A B F F F(-1) F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 46 46 199 0 0 0 0 0 41
normalized size 1 1. 4.33 0. 0. 0. 0. 0. 0.89
time (sec) N/A 1.839 0.698 0.033 0. 0. 0. 0. 25.955




















Problem 876 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A B F F F(-1) F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 46 46 213 0 0 0 0 0 42
normalized size 1 1. 4.63 0. 0. 0. 0. 0. 0.91
time (sec) N/A 1.84 0.32 0.035 0. 0. 0. 0. 26.313




















Problem 877 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A B B A A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 19 19 75 147 127 130 0 81 17
normalized size 1 1. 3.95 7.74 6.68 6.84 0. 4.26 0.89
time (sec) N/A 0.817 0.075 0.074 0.771 0.309 0. 0.376 17.864




















Problem 878 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F A F F A
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 123 123 0 0 0 489 0 0 116
normalized size 1 1. 0. 0. 0. 3.98 0. 0. 0.94
time (sec) N/A 0.261 0.08 0.217 0. 7.256 0. 0. 16.128




















Problem 879 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A F A F F F(-1) F F F(-1)
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 103 0 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.808 0.119 0.187 0. 0. 0. 0. 0.




















Problem 880 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A C C B F A F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 49 47 114 88 0 92 0 0 197
normalized size 1 0.96 2.33 1.8 0. 1.88 0. 0. 4.02
time (sec) N/A 0.241 0.188 0.026 0. 0.322 0. 0. 72.083




















Problem 881 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C C F A F(-1) F(-2) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 80 80 383 555 0 1 0 0 0
normalized size 1 1. 4.79 6.94 0. 0.01 0. 0. 0.
time (sec) N/A 0.701 0.77 0.059 0. 44.374 0. 0. 0.




















Problem 882 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 1 1 1 2 1 1 0 1 0
normalized size 1 1. 1. 2. 1. 1. 0. 1. 0.
time (sec) N/A 0.005 0. 0.001 0.695 0.243 0.065 0.274 1.681




















Problem 883 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A B B F A F A A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 122 122 2681 234 0 151 0 261 112
normalized size 1 1. 21.98 1.92 0. 1.24 0. 2.14 0.92
time (sec) N/A 0.335 6.673 0.047 0. 0.261 0. 0.275 52.753




















Problem 884 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A B B F A F(-1) A F
verified N/A NO Yes TBD TBD TBD TBD TBD TBD
size 122 149 2155 234 0 151 0 261 0
normalized size 1 1.22 17.66 1.92 0. 1.24 0. 2.14 0.
time (sec) N/A 0.775 6.562 0.082 0. 0.269 0. 0.295 0.




















Problem 885 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A F A A A A F(-1) A F(-2)
verified N/A N/A Yes TBD TBD TBD TBD TBD TBD
size 34 0 31 32 22 42 0 39 0
normalized size 1 0. 0.91 0.94 0.65 1.24 0. 1.15 0.
time (sec) N/A 0.105 0.024 0.003 0.777 0.292 0. 0.255 0.










2.2 Detailed conclusion table specific for Rubi results

The following table is specific to Rubi. It gives additional statistics for each integral. the column steps is the number of steps used by Rubi to obtain the antiderivative. The rules column is the number of unique rules used. The integrand size column is the leaf size of the integrand. Finally the ratio \(\frac{\text{number of rules}}{\text{integrand size}}\) is given. The larger this ratio is, the harder the integral was to solve. In this test, problem number [195] had the largest ratio of [ 0.8947 ]

Table 1: Rubi specific breakdown of results for each integral














# grade
number of
steps
used
number of
unique
rules
normalized
antiderivative
leaf size
integrand
leaf size
\(\frac{\text{number of rules}}{\text{integrand leaf size}}\)







1 A 4 4 1. 19 0.21







2 A 4 4 1. 23 0.174







3 A 4 4 1. 21 0.19







4 A 4 4 1. 21 0.19







5 A 4 4 1. 33 0.121







6 A 4 4 1. 35 0.114







7 A 4 4 1. 36 0.111







8 A 4 4 1. 36 0.111







9 A 4 4 1. 24 0.167







10 A 4 4 1. 20 0.2







11 A 4 4 1. 24 0.167







12 A 4 4 1. 22 0.182







13 A 4 4 1. 22 0.182







14 A 8 8 1. 15 0.533







15 A 8 8 1. 17 0.471







16 A 8 8 1. 15 0.533







17 A 8 8 1. 17 0.471







18 A 1 1 1. 25 0.04







19 A 3 3 1. 25 0.12







20 A 2 2 1. 28 0.071







21 A 2 2 1. 32 0.062







22 A 2 2 1. 30 0.067







23 A 2 2 1. 30 0.067







24 A 2 2 1. 53 0.038







25 A 2 2 1. 55 0.036







26 A 2 2 1. 56 0.036







27 A 2 2 1. 56 0.036







28 A 2 2 1. 30 0.067







29 A 4 4 1. 24 0.167







30 A 4 4 1. 28 0.143







31 A 4 4 1. 26 0.154







32 A 4 4 1. 26 0.154







33 A 4 4 1. 24 0.167







34 A 4 4 1. 28 0.143







35 A 4 4 1. 26 0.154







36 A 4 4 1. 26 0.154







37 A 4 4 1. 38 0.105







38 A 4 4 1. 40 0.1







39 A 4 4 1. 41 0.098







40 A 4 4 1. 41 0.098







41 A 4 4 1. 29 0.138







42 A 4 4 1. 20 0.2







43 A 4 4 1. 24 0.167







44 A 4 4 1. 22 0.182







45 A 4 4 1. 22 0.182







46 A 4 4 1. 34 0.118







47 A 4 4 1. 36 0.111







48 A 4 4 1. 37 0.108







49 A 4 4 1. 37 0.108







50 A 4 4 1. 25 0.16







51 A 2 2 1. 20 0.1







52 A 2 2 1. 22 0.091







53 A 2 2 1. 20 0.1







54 A 2 2 1. 22 0.091







55 A 2 2 1. 43 0.047







56 A 2 2 1. 44 0.045







57 A 2 2 1. 45 0.044







58 A 2 2 1. 46 0.043







59 A 2 2 1. 30 0.067







60 A 4 4 1. 22 0.182







61 A 4 4 1. 22 0.182







62 A 4 4 1. 20 0.2







63 A 4 4 1. 24 0.167







64 A 4 4 1. 35 0.114







65 A 4 4 1. 35 0.114







66 A 4 4 1. 36 0.111







67 A 4 4 1. 38 0.105







68 A 4 4 1. 29 0.138







69 A 4 4 1. 18 0.222







70 A 4 4 1. 18 0.222







71 A 4 4 1. 16 0.25







72 A 4 4 1. 20 0.2







73 A 4 4 1. 31 0.129







74 A 4 4 1. 31 0.129







75 A 4 4 1. 32 0.125







76 A 4 4 1. 34 0.118







77 A 4 4 1. 25 0.16







78 A 2 2 1. 30 0.067







79 A 2 2 1. 36 0.056







80 A 2 2 1. 34 0.059







81 A 2 2 1. 32 0.062







82 A 2 2 1. 58 0.034







83 A 2 2 1. 61 0.033







84 A 2 2 1. 62 0.032







85 A 2 2 1. 61 0.033







86 A 2 2 1. 52 0.038







87 A 2 2 1. 55 0.036







88 A 2 2 1. 56 0.036







89 A 2 2 1. 55 0.036







90 A 2 2 1. 30 0.067







91 A 2 2 1. 36 0.056







92 A 2 2 1. 34 0.059







93 A 2 2 1. 32 0.062







94 A 2 2 1. 58 0.034







95 A 2 2 1. 61 0.033







96 A 2 2 1. 62 0.032







97 A 2 2 1. 61 0.033







98 A 2 2 1. 52 0.038







99 A 2 2 1. 55 0.036







100 A 2 2 1. 56 0.036







101 A 2 2 1. 55 0.036







102 A 4 4 1. 23 0.174







103 A 4 4 1. 25 0.16







104 A 4 4 1. 25 0.16







105 A 4 4 1. 29 0.138







106 A 4 4 1. 27 0.148







107 A 4 4 1. 27 0.148







108 A 4 4 1. 42 0.095







109 A 4 4 1. 44 0.091







110 A 4 4 1. 45 0.089







111 A 4 4 1. 45 0.089







112 A 4 4 1. 21 0.19







113 A 4 4 1. 25 0.16







114 A 4 4 1. 23 0.174







115 A 4 4 1. 23 0.174







116 A 4 4 1. 23 0.174







117 A 4 4 1. 38 0.105







118 A 4 4 1. 40 0.1







119 A 4 4 1. 41 0.098







120 A 4 4 1. 41 0.098







121 A 6 6 1. 25 0.24







122 A 6 6 1. 29 0.207







123 A 6 6 1. 27 0.222







124 A 6 6 1. 27 0.222







125 A 6 6 1. 27 0.222







126 A 6 6 1. 31 0.194







127 A 6 6 1. 29 0.207







128 A 6 6 1. 29 0.207







129 A 5 5 1. 21 0.238







130 A 5 5 1. 25 0.2







131 A 5 5 1. 23 0.217







132 A 5 5 1. 23 0.217







133 A 5 5 1. 23 0.217







134 A 5 5 1. 27 0.185







135 A 5 5 1. 25 0.2







136 A 5 5 1. 25 0.2







137 A 8 8 1. 16 0.5







138 A 8 8 1. 18 0.444







139 A 8 8 1. 16 0.5







140 A 8 8 1. 18 0.444







141 A 8 8 1. 22 0.364







142 A 8 8 1. 24 0.333







143 A 8 8 1. 22 0.364







144 A 8 8 1. 24 0.333







145 A 6 6 1. 18 0.333







146 A 6 6 1. 20 0.3







147 A 6 6 1. 18 0.333







148 A 6 6 1. 20 0.3







149 A 1 1 1. 31 0.032







150 A 3 3 1. 30 0.1







151 A 2 1 1. 18 0.056







152 A 2 1 1. 16 0.062







153 A 2 1 1. 15 0.067







154 A 3 2 1. 18 0.111







155 A 2 1 1. 20 0.05







156 A 2 1 1. 18 0.056







157 A 2 1 1. 17 0.059







158 A 3 2 1. 20 0.1







159 A 2 1 1. 20 0.05







160 A 2 1 1. 18 0.056







161 A 2 1 1. 17 0.059







162 A 3 2 1. 20 0.1







163 A 7 2 1. 20 0.1







164 A 7 2 1. 20 0.1







165 A 7 2 1. 20 0.1







166 A 5 2 1. 20 0.1







167 A 5 2 1. 18 0.111







168 A 5 2 1. 17 0.118







169 A 8 3 1. 20 0.15







170 A 8 3 1. 20 0.15







171 A 5 2 1. 22 0.091







172 A 8 3 1. 20 0.15







173 A 13 12 1. 19 0.632







174 F 0 0 N/A 0 N/A







175 A 2 2 1. 27 0.074







176 A 2 2 1. 29 0.069







177 A 2 2 1. 27 0.074







178 A 2 2 1. 29 0.069







179 A 2 2 1. 31 0.065







180 A 2 2 1. 35 0.057







181 A 2 2 1. 33 0.061







182 A 2 2 1. 33 0.061







183 A 11 10 1. 19 0.526







184 A 10 9 1. 19 0.474







185 A 8 6 1. 17 0.353







186 A 2 2 1. 11 0.182







187 A 14 12 1. 19 0.632







188 A 29 14 1. 19 0.737







189 A 9 8 1. 19 0.421







190 A 8 7 1. 19 0.368







191 A 6 5 1. 17 0.294







192 A 1 1 1. 11 0.091







193 A 6 6 1. 19 0.316







194 A 10 9 1. 19 0.474







195 A 36 17 1. 19 0.895







196 A 4 4 1. 19 0.21







197 A 4 4 1. 19 0.21







198 A 3 3 1. 17 0.176







199 A 2 2 1. 11 0.182







200 A 13 12 1. 19 0.632







201 A 72 16 1. 19 0.842







202 A 10 3 1. 20 0.15







203 A 10 3 1. 22 0.136







204 A 14 7 1. 24 0.292







205 A 6 5 1. 19 0.263







206 A 5 5 1. 19 0.263







207 A 4 4 1. 19 0.21







208 A 2 2 1. 19 0.105







209 A 3 3 1. 19 0.158







210 A 4 4 1. 22 0.182







211 A 5 5 1. 19 0.263







212 A 6 5 1. 22 0.227







213 A 8 5 1. 33 0.152







214 A 9 6 1. 30 0.2







215 A 6 6 1. 19 0.316







216 A 3 3 1. 19 0.158







217 A 4 4 1. 19 0.21







218 A 2 2 1. 19 0.105







219 A 4 4 1. 17 0.235







220 A 3 3 1. 19 0.158







221 A 4 4 1. 19 0.21







222 A 6 6 1. 19 0.316







223 A 2 2 1. 19 0.105







224 A 2 2 1. 19 0.105







225 A 5 5 1. 19 0.263







226 A 4 4 1. 19 0.21







227 A 3 3 1. 17 0.176







228 A 3 3 1. 19 0.158







229 A 4 4 1. 19 0.21







230 A 6 6 1. 19 0.316







231 A 5 5 1. 19 0.263







232 A 2 2 1. 21 0.095







233 A 2 2 1. 19 0.105







234 A 2 2 1. 23 0.087







235 C 5 3 2.35 54 0.056







236 A 2 2 1. 26 0.077







237 A 2 2 1. 7 0.286







238 A 3 2 1. 15 0.133







239 A 4 2 1. 22 0.091







240 A 5 2 1. 25 0.08







241 A 5 2 1. 23 0.087







242 A 2 1 1. 21 0.048







243 A 7 4 1. 25 0.16







244 A 7 4 1. 25 0.16







245 A 9 7 1. 25 0.28







246 A 8 6 1. 23 0.261







247 A 7 5 1.81 21 0.238







248 A 9 8 1. 25 0.32







249 A 9 8 1. 25 0.32







250 A 10 2 1. 25 0.08







251 A 10 2 1. 23 0.087







252 B 6 2 2.36 21 0.095







253 A 8 4 1. 25 0.16







254 A 14 5 1.38 25 0.2







255 A 3 3 1. 15 0.2







256 A 3 3 1. 15 0.2







257 A 2 1 1. 17 0.059







258 A 5 3 1. 23 0.13







259 A 5 4 1. 23 0.174







260 A 3 2 1. 21 0.095







261 A 4 3 1. 19 0.158







262 A 6 5 1. 23 0.217







263 A 4 3 1. 23 0.13







264 A 6 5 1. 23 0.217







265 A 5 2 1. 25 0.08







266 A 5 2 1. 25 0.08







267 A 3 2 1. 23 0.087







268 A 8 4 1. 21 0.19







269 A 7 4 1. 25 0.16







270 A 9 5 1. 25 0.2







271 A 7 5 1. 25 0.2







272 A 6 4 1. 25 0.16







273 A 8 6 1. 23 0.261







274 A 8 6 1. 21 0.286







275 A 6 4 1. 25 0.16







276 A 7 5 1. 25 0.2







277 A 10 2 1. 25 0.08







278 A 6 2 1. 25 0.08







279 A 8 4 1. 25 0.16







280 A 14 5 1.42 23 0.217







281 A 16 5 1.68 21 0.238







282 A 4 3 1. 27 0.111







283 A 6 4 1. 42 0.095







284 A 6 5 1. 42 0.119







285 A 4 3 1. 40 0.075







286 A 5 4 1. 39 0.103







287 A 7 6 1. 42 0.143







288 A 5 4 1. 42 0.095







289 A 7 6 1. 42 0.143







290 A 15 7 1. 39 0.18







291 A 9 4 1. 35 0.114







292 A 4 3 1. 25 0.12







293 A 3 2 1. 25 0.08







294 A 3 2 1. 25 0.08







295 A 4 3 1. 23 0.13







296 A 3 2 1. 25 0.08







297 A 3 2 1. 25 0.08







298 A 3 2 1. 25 0.08







299 A 8 7 1. 27 0.259







300 A 8 7 1. 27 0.259







301 A 7 7 1. 27 0.259







302 A 5 5 1. 27 0.185







303 A 5 5 1. 27 0.185







304 A 6 5 1. 27 0.185







305 A 3 2 1. 17 0.118







306 A 3 2 1. 26 0.077







307 A 1 1 1. 17 0.059







308 A 1 1 1. 15 0.067







309 A 1 1 1. 15 0.067







310 A 1 1 1. 25 0.04







311 A 4 3 1. 28 0.107







312 A 3 2 1. 28 0.071







313 A 3 2 1. 28 0.071







314 A 4 3 1. 26 0.115







315 A 3 2 1. 28 0.071







316 A 3 2 1. 28 0.071







317 A 3 2 1. 28 0.071







318 A 8 7 1. 30 0.233







319 A 8 7 1. 30 0.233







320 A 7 7 1. 30 0.233







321 A 5 5 1. 30 0.167







322 A 5 5 1. 30 0.167







323 A 6 5 1. 30 0.167







324 A 3 2 1. 21 0.095







325 A 3 2 1. 19 0.105







326 A 3 2 1. 13 0.154







327 A 2 2 1. 21 0.095







328 A 2 2 1. 21 0.095







329 A 3 2 1. 23 0.087







330 A 3 2 1. 21 0.095







331 A 3 2 1. 15 0.133







332 A 2 2 1. 23 0.087







333 A 2 2 1. 23 0.087







334 A 3 2 1. 23 0.087







335 A 3 2 1. 23 0.087







336 A 3 2 1. 23 0.087







337 A 2 2 1. 23 0.087







338 A 2 2 1. 23 0.087







339 A 2 2 1. 23 0.087







340 A 3 2 1. 25 0.08







341 A 3 2 1. 25 0.08







342 A 3 2 1. 25 0.08







343 A 2 2 1. 25 0.08







344 A 2 2 1. 25 0.08







345 A 2 2 1. 25 0.08







346 A 4 3 1. 56 0.054







347 A 4 3 1. 54 0.056







348 A 4 3 1. 33 0.091







349 A 2 2 1. 56 0.036







350 A 3 3 1. 56 0.054







351 A 5 4 1. 33 0.121







352 A 3 3 1. 56 0.054







353 A 4 3 1. 58 0.052







354 A 4 3 1. 58 0.052







355 A 3 3 1. 58 0.052







356 A 3 3 1. 58 0.052







357 A 4 4 1. 58 0.069







358 A 5 4 1. 62 0.065







359 A 4 4 1. 62 0.065







360 A 4 4 1. 62 0.065







361 A 5 5 1. 60 0.083







362 A 7 6 1. 30 0.2







363 A 4 3 1. 37 0.081







364 A 4 3 1. 37 0.081







365 A 2 2 1. 37 0.054







366 A 2 2 1. 37 0.054







367 A 2 2 1. 42 0.048







368 A 2 2 1. 42 0.048







369 A 4 4 1. 30 0.133







370 A 4 4 1. 30 0.133







371 A 2 2 1. 42 0.048







372 A 2 2 1. 42 0.048







373 A 2 2 1.45 51 0.039







374 A 2 2 1.45 51 0.039







375 A 2 2 1. 40 0.05







376 A 2 2 1. 40 0.05







377 A 4 4 1. 32 0.125







378 A 4 4 1. 32 0.125







379 A 2 2 1. 51 0.039







380 A 2 2 1. 51 0.039







381 A 2 2 1. 56 0.036







382 A 2 2 1. 56 0.036







383 A 4 2 1. 29 0.069







384 A 4 2 1. 29 0.069







385 A 3 2 1. 27 0.074







386 A 7 6 1. 29 0.207







387 A 8 6 1. 29 0.207







388 A 8 7 1. 29 0.241







389 A 4 3 1. 25 0.12







390 A 7 6 1. 29 0.207







391 A 4 2 1. 29 0.069







392 A 4 2 1. 29 0.069







393 A 3 2 1. 29 0.069







394 A 7 6 1. 29 0.207







395 A 8 6 1. 29 0.207







396 A 10 10 1. 29 0.345







397 A 9 9 1. 27 0.333







398 A 9 9 1. 25 0.36







399 A 10 10 1. 29 0.345







400 A 10 10 1. 29 0.345







401 A 4 4 1. 25 0.16







402 A 4 4 1. 29 0.138







403 A 3 2 1. 31 0.065







404 A 3 3 1. 15 0.2







405 A 5 5 1. 15 0.333







406 A 4 3 1. 15 0.2







407 A 4 3 1. 13 0.231







408 A 4 3 1. 13 0.231







409 A 4 3 1. 15 0.2







410 A 9 9 1. 13 0.692







411 A 4 3 1. 13 0.231







412 A 4 3 1. 13 0.231







413 A 9 9 1. 15 0.6







414 A 3 3 1. 13 0.231







415 A 4 3 1. 13 0.231







416 A 13 10 1. 15 0.667







417 A 10 7 1. 19 0.368







418 A 4 3 1. 19 0.158







419 A 10 9 1. 21 0.429







420 A 3 3 1. 26 0.115







421 A 3 3 1. 26 0.115







422 A 3 3 1. 24 0.125







423 A 3 3 1. 23 0.13







424 A 3 3 1. 26 0.115







425 A 3 3 1. 26 0.115







426 A 4 3 1. 17 0.176







427 A 5 5 1. 17 0.294







428 A 4 4 1. 15 0.267







429 A 2 2 1. 9 0.222







430 A 5 5 1. 17 0.294







431 A 3 3 1. 17 0.176







432 A 4 4 1. 17 0.235







433 A 5 5 1. 17 0.294







434 A 3 3 1. 28 0.107







435 A 3 3 1. 28 0.107







436 A 3 3 1. 26 0.115







437 A 3 3 1. 25 0.12







438 A 3 3 1. 28 0.107







439 A 3 3 1. 28 0.107







440 A 8 6 1. 21 0.286







441 A 1 1 1. 17 0.059







442 A 1 1 1. 21 0.048







443 A 1 1 1. 17 0.059







444 A 1 1 1. 19 0.053







445 A 1 1 1. 21 0.048







446 A 4 3 1. 25 0.12







447 A 3 2 1. 17 0.118







448 A 4 3 1. 27 0.111







449 A 4 3 1. 25 0.12







450 A 5 4 1.7 22 0.182







451 A 4 3 1. 29 0.103







452 A 1 1 1. 176 0.006







453 A 1 1 1. 174 0.006







454 A 1 1 1. 164 0.006







455 F 0 0 N/A 0 N/A







456 F 0 0 N/A 0 N/A







457 A 4 3 1. 19 0.158







458 A 4 3 1. 19 0.158







459 A 4 3 1. 17 0.176







460 A 4 3 1. 15 0.2







461 A 7 6 1. 19 0.316







462 A 6 6 1. 19 0.316







463 A 6 6 1. 19 0.316







464 A 4 3 1. 21 0.143







465 A 4 3 1. 21 0.143







466 A 4 3 1. 19 0.158







467 A 4 3 1. 17 0.176







468 A 7 6 1. 21 0.286







469 A 8 7 1. 21 0.333







470 A 9 8 1. 21 0.381







471 A 4 3 1. 19 0.158







472 A 4 3 1. 19 0.158







473 A 4 3 1. 17 0.176







474 A 4 3 1. 15 0.2







475 A 7 6 1. 19 0.316







476 A 8 7 1. 19 0.368







477 A 9 7 1. 19 0.368







478 A 4 3 1. 19 0.158







479 A 4 3 1. 19 0.158







480 A 4 3 1. 17 0.176







481 A 4 3 1. 15 0.2







482 A 7 6 1. 19 0.316







483 A 8 7 1. 19 0.368







484 A 9 7 1. 19 0.368







485 A 4 3 1. 21 0.143







486 A 4 3 1. 21 0.143







487 A 4 3 1. 19 0.158







488 A 4 3 1. 17 0.176







489 A 6 5 1. 21 0.238







490 A 7 6 1. 21 0.286







491 A 8 6 1. 21 0.286







492 A 4 3 1. 19 0.158







493 A 4 3 1. 19 0.158







494 A 4 3 1. 17 0.176







495 A 4 3 1. 15 0.2







496 A 6 4 1. 19 0.21







497 A 8 6 1. 17 0.353







498 A 7 6 1. 17 0.353







499 A 6 6 1. 17 0.353







500 A 5 5 1. 17 0.294







501 A 6 6 1. 17 0.353







502 A 7 6 1. 17 0.353







503 A 8 6 1. 19 0.316







504 A 7 6 1. 19 0.316







505 A 6 6 1. 19 0.316







506 A 5 5 1. 19 0.263







507 A 6 6 1. 19 0.316







508 A 7 6 1. 19 0.316







509 A 2 2 1. 13 0.154







510 A 5 5 1. 17 0.294







511 A 6 5 1. 21 0.238







512 A 7 5 1. 25 0.2







513 A 8 5 1. 29 0.172







514 A 8 6 1. 20 0.3







515 A 7 6 1. 20 0.3







516 A 6 6 1. 18 0.333







517 A 2 2 1. 20 0.1







518 A 4 3 1. 20 0.15







519 A 4 3 1. 20 0.15







520 A 2 2 1. 18 0.111







521 A 2 2 1. 20 0.1







522 A 3 2 1. 22 0.091







523 A 3 3 1. 17 0.176







524 A 3 3 1. 23 0.13







525 A 3 3 1. 21 0.143







526 A 3 3 1. 23 0.13







527 A 3 3 1. 23 0.13







528 A 3 2 1. 22 0.091







529 A 5 5 1. 23 0.217







530 A 4 4 1. 25 0.16







531 A 5 4 1. 34 0.118







532 A 5 5 1. 31 0.161







533 A 6 4 1. 47 0.085







534 A 9 5 1. 58 0.086







535 A 4 4 1. 11 0.364







536 A 6 6 1. 11 0.546







537 A 2 1 1. 17 0.059







538 A 8 6 1. 13 0.462







539 A 2 1 1. 16 0.062







540 A 4 2 1. 14 0.143







541 A 5 4 1. 12 0.333







542 A 4 2 1. 13 0.154







543 A 4 2 1. 13 0.154







544 A 4 2 1. 15 0.133







545 A 5 5 1. 12 0.417







546 A 6 5 1. 14 0.357







547 A 5 4 1. 13 0.308







548 A 5 4 1. 17 0.235







549 A 5 4 1. 17 0.235







550 A 4 3 1. 13 0.231







551 A 7 5 1. 18 0.278







552 A 7 5 1. 20 0.25







553 A 8 5 1. 18 0.278







554 A 4 3 1. 26 0.115







555 A 7 5 1. 17 0.294







556 A 3 1 1. 27 0.037







557 A 5 3 1. 17 0.176







558 A 6 4 1. 17 0.235







559 A 6 4 1. 23 0.174







560 A 5 3 1. 17 0.176







561 A 6 2 1. 23 0.087







562 A 5 1 1. 25 0.04







563 A 5 2 1. 21 0.095







564 A 3 2 1. 23 0.087







565 A 4 3 1.18 16 0.188







566 A 3 1 1. 28 0.036







567 A 5 5 1. 16 0.312







568 A 5 4 1. 22 0.182







569 A 8 4 1. 21 0.19







570 B 16 10 2.8 20 0.5







571 A 9 6 1. 25 0.24







572 A 6 4 1. 35 0.114







573 A 2 2 1. 13 0.154







574 A 3 3 1. 15 0.2







575 A 3 3 1. 13 0.231







576 A 4 4 1. 11 0.364







577 A 3 3 1. 18 0.167







578 A 4 4 1. 17 0.235







579 A 4 4 1. 18 0.222







580 A 5 5 1. 17 0.294







581 A 2 2 1. 16 0.125







582 A 2 2 1. 21 0.095







583 A 3 3 1. 26 0.115







584 A 3 3 1. 25 0.12







585 A 3 3 1. 12 0.25







586 A 3 3 1. 15 0.2







587 A 3 3 1. 15 0.2







588 A 3 3 1. 15 0.2







589 A 3 3 1. 17 0.176







590 A 4 4 1. 15 0.267







591 A 4 4 1. 21 0.19







592 A 3 3 1. 22 0.136







593 A 4 4 1. 20 0.2







594 A 7 7 1. 20 0.35







595 A 2 2 1. 15 0.133







596 A 5 5 1. 21 0.238







597 A 8 6 1. 18 0.333







598 A 5 4 1. 18 0.222







599 A 6 4 1. 18 0.222







600 A 3 2 1. 16 0.125







601 A 3 2 1. 16 0.125







602 A 3 2 1. 16 0.125







603 A 10 8 1. 18 0.444







604 A 5 4 1. 18 0.222







605 A 6 5 1. 18 0.278







606 A 5 5 1.4 35 0.143







607 A 6 6 1.4 28 0.214







608 A 7 7 1. 23 0.304







609 A 6 6 1. 23 0.261







610 A 3 3 1. 23 0.13







611 A 6 6 1. 23 0.261







612 A 7 7 1. 23 0.304







613 A 7 7 1. 19 0.368







614 A 6 6 1. 19 0.316







615 A 3 3 1. 19 0.158







616 A 6 6 1. 19 0.316







617 A 7 7 1. 19 0.368







618 A 6 6 1. 31 0.194







619 A 5 5 1. 31 0.161







620 A 2 2 1. 31 0.065







621 A 5 5 1. 31 0.161







622 A 5 5 1. 34 0.147







623 A 2 2 1. 34 0.059







624 A 5 5 1. 34 0.147







625 A 8 8 1. 24 0.333







626 A 7 7 1. 24 0.292







627 A 3 3 1. 24 0.125







628 A 7 7 1. 24 0.292







629 A 8 8 1. 24 0.333







630 A 14 13 1. 26 0.5







631 A 12 12 1. 26 0.462







632 A 7 7 1. 26 0.269







633 A 10 10 1. 26 0.385







634 A 12 12 1. 26 0.462







635 A 15 13 1. 28 0.464







636 A 13 13 1. 28 0.464







637 A 11 11 1. 28 0.393







638 A 10 9 1. 28 0.321







639 A 13 12 1. 28 0.429







640 A 4 4 1. 19 0.21







641 A 10 10 1. 19 0.526







642 A 3 3 1. 19 0.158







643 A 9 9 1. 19 0.474







644 A 4 4 1. 24 0.167







645 A 10 10 1. 24 0.417







646 A 12 11 1. 24 0.458







647 A 4 4 1. 24 0.167







648 A 10 10 1. 24 0.417







649 A 11 10 1. 27 0.37







650 A 14 7 1. 20 0.35







651 A 12 6 1.91 21 0.286







652 A 2 1 1. 22 0.045







653 A 4 2 1. 18 0.111







654 A 4 2 1. 18 0.111







655 A 5 5 1. 23 0.217







656 A 6 6 1. 22 0.273







657 A 6 6 1. 20 0.3







658 A 3 2 1. 15 0.133







659 A 3 2 1. 21 0.095







660 A 5 4 1. 19 0.21







661 A 9 6 1. 24 0.25







662 A 9 6 1. 24 0.25







663 A 10 7 1. 21 0.333







664 A 11 8 1. 13 0.615







665 A 12 8 1. 25 0.32







666 A 13 9 1. 15 0.6







667 A 14 9 1. 19 0.474







668 A 2 1 1. 35 0.029







669 A 8 5 1. 37 0.135







670 A 16 8 1. 29 0.276







671 A 16 8 1. 36 0.222







672 A 31 14 1. 43 0.326







673 A 5 4 1. 21 0.19







674 A 6 4 1. 27 0.148







675 A 8 6 1. 27 0.222







676 A 4 4 1. 27 0.148







677 A 4 4 1. 20 0.2







678 A 6 6 1. 29 0.207







679 A 2 1 1. 20 0.05







680 A 3 2 1. 25 0.08







681 A 2 2 1. 28 0.071







682 A 3 3 1. 26 0.115







683 A 1 1 1. 11 0.091







684 A 2 2 1. 19 0.105







685 A 2 2 1. 15 0.133







686 A 2 2 1. 14 0.143







687 A 3 3 1. 17 0.176







688 A 3 3 1. 13 0.231







689 A 2 2 1. 14 0.143







690 A 3 3 1. 17 0.176







691 A 3 3 1. 13 0.231







692 A 1 0 1. 9 0.







693 A 4 3 1. 15 0.2







694 A 2 2 1. 13 0.154







695 A 3 3 1. 19 0.158







696 A 3 3 1. 11 0.273







697 A 4 4 1. 17 0.235







698 A 1 1 1. 9 0.111







699 A 2 2 1. 19 0.105







700 A 1 1 1. 7 0.143







701 A 2 2 1. 21 0.095







702 A 1 1 1. 9 0.111







703 A 2 2 1. 19 0.105







704 A 1 1 1. 7 0.143







705 A 2 2 1. 21 0.095







706 A 3 3 1. 17 0.176







707 A 4 4 1. 30 0.133







708 A 7 7 1. 20 0.35







709 A 6 6 1. 20 0.3







710 A 7 7 1. 23 0.304







711 A 6 6 1. 25 0.24







712 A 1 1 1. 11 0.091







713 A 2 2 1. 21 0.095







714 A 1 1 1. 9 0.111







715 A 2 2 1. 23 0.087







716 A 2 2 1. 11 0.182







717 A 3 3 1. 21 0.143







718 A 2 2 1. 9 0.222







719 A 3 3 1. 23 0.13







720 A 3 3 1.16 14 0.214







721 A 4 4 1. 15 0.267







722 A 7 6 1. 17 0.353







723 A 7 6 1. 17 0.353







724 A 10 8 1. 34 0.235







725 A 12 7 1. 30 0.233







726 A 5 4 1. 21 0.19







727 A 7 5 1. 23 0.217







728 A 9 7 1. 25 0.28







729 A 7 6 1. 25 0.24







730 A 4 4 1. 23 0.174







731 A 4 4 1. 28 0.143







732 A 3 3 1. 13 0.231







733 A 2 2 1. 24 0.083







734 A 2 2 1. 22 0.091







735 A 2 2 1. 30 0.067







736 A 3 3 1. 27 0.111







737 A 4 4 1. 23 0.174







738 A 7 5 1. 28 0.179







739 A 13 10 1.55 25 0.4







740 A 8 6 1. 29 0.207







741 A 6 6 1. 16 0.375







742 A 6 6 1. 16 0.375







743 A 4 4 1. 16 0.25







744 A 7 7 1. 16 0.438







745 A 8 8 1. 16 0.5







746 A 3 3 1. 24 0.125







747 A 4 4 1. 19 0.21







748 A 3 3 1. 17 0.176







749 A 2 2 1. 15 0.133







750 A 5 5 1. 19 0.263







751 A 3 3 1. 19 0.158







752 A 6 5 1. 19 0.263







753 A 9 5 1. 19 0.263







754 A 3 3 1. 17 0.176







755 A 8 4 1. 15 0.267







756 A 9 5 1. 19 0.263







757 A 8 5 1. 19 0.263







758 A 9 6 1. 19 0.316







759 A 0 0 0. 0 0.







760 A 0 0 0. 0 0.







761 A 0 0 0. 0 0.







762 A 0 0 0. 0 0.







763 A 0 0 0. 0 0.







764 A 0 0 0. 0 0.







765 A 0 0 0. 0 0.







766 A 0 0 0. 0 0.







767 A 0 0 0. 0 0.







768 A 0 0 0. 0 0.







769 A 2 2 1. 37 0.054







770 A 2 2 1. 38 0.053







771 A 5 4 1. 40 0.1







772 A 7 5 1. 40 0.125







773 A 6 5 1. 18 0.278







774 A 7 6 1. 21 0.286







775 A 8 6 1. 22 0.273







776 A 3 3 1. 21 0.143







777 A 3 3 1. 24 0.125







778 A 11 10 1. 19 0.526







779 A 10 7 1. 24 0.292







780 A 4 3 1. 19 0.158







781 A 3 3 1. 17 0.176







782 A 1 1 1. 15 0.067







783 A 1 1 1. 17 0.059







784 A 2 2 1. 17 0.118







785 A 2 2 1. 17 0.118







786 A 1 1 1. 17 0.059







787 A 6 6 1. 17 0.353







788 A 5 5 1. 11 0.454







789 A 3 3 1. 11 0.273







790 A 5 3 1. 13 0.231







791 A 2 2 1. 21 0.095







792 A 5 5 1. 16 0.312







793 A 2 2 1. 13 0.154







794 A 6 6 1. 16 0.375







795 A 5 4 1. 12 0.333







796 A 4 3 1. 18 0.167







797 A 10 6 1. 17 0.353







798 A 1 1 1. 17 0.059







799 C 3 2 1.03 27 0.074







800 A 2 2 1. 37 0.054







801 A 3 2 1. 17 0.118







802 A 5 4 1. 17 0.235







803 A 1 1 1. 15 0.067







804 A 3 3 1. 14 0.214







805 A 1 1 1. 17 0.059







806 A 2 1 1. 13 0.077







807 A 2 1 1. 15 0.067







808 A 7 4 1. 15 0.267







809 A 6 6 1. 15 0.4







810 A 1 0 1. 9 0.







811 A 1 0 1. 9 0.







812 A 2 1 1. 19 0.053







813 A 3 3 1. 15 0.2







814 A 3 3 1. 16 0.188







815 A 4 4 1. 15 0.267







816 A 5 5 1. 15 0.333







817 A 4 4 1. 25 0.16







818 A 2 2 1. 11 0.182







819 A 2 2 1. 17 0.118







820 A 6 6 1. 22 0.273







821 A 4 3 1. 13 0.231







822 A 4 3 1. 15 0.2







823 A 4 4 1. 19 0.21







824 A 4 4 1. 21 0.19







825 A 3 3 1. 17 0.176







826 A 7 6 1. 19 0.316







827 A 7 6 1. 19 0.316







828 A 6 6 1. 17 0.353







829 A 10 8 1. 17 0.471







830 A 11 9 1. 17 0.529







831 A 3 3 1. 22 0.136







832 A 5 5 1. 11 0.454







833 A 5 5 1. 13 0.385







834 A 5 5 1.17 11 0.454







835 A 5 5 1. 15 0.333







836 A 4 4 1. 11 0.364







837 A 5 5 1. 13 0.385







838 A 4 4 1. 11 0.364







839 A 3 3 1. 11 0.273







840 A 2 2 1. 11 0.182







841 A 5 5 1. 19 0.263







842 A 2 2 1. 23 0.087







843 A 4 4 1. 15 0.267







844 A 3 3 1. 15 0.2







845 A 6 6 1. 17 0.353







846 A 3 3 1. 17 0.176







847 A 2 2 1. 13 0.154







848 A 3 3 1. 11 0.273







849 A 3 3 1. 15 0.2







850 A 3 3 1. 19 0.158







851 A 3 3 1. 19 0.158







852 A 3 3 1. 19 0.158







853 A 2 2 1. 15 0.133







854 A 3 3 1. 15 0.2







855 A 3 3 1. 12 0.25







856 A 3 3 1. 16 0.188







857 F 0 0 N/A 0 N/A







858 F 0 0 N/A 0 N/A







859 B 25 12 4.09 31 0.387







860 A 5 4 1. 25 0.16







861 A 2 2 1. 27 0.074







862 A 2 2 1. 33 0.061







863 A 2 2 1. 34 0.059







864 A 7 6 1. 51 0.118







865 A 2 2 1. 49 0.041







866 A 2 2 1. 43 0.047







867 A 2 2 1. 44 0.045







868 A 9 8 1. 20 0.4







869 A 3 3 1. 15 0.2







870 A 3 3 1. 15 0.2







871 A 1 1 1. 52 0.019







872 A 1 1 1. 57 0.018







873 A 2 2 1. 59 0.034







874 A 2 2 1. 58 0.034







875 A 3 3 1. 58 0.052







876 A 3 3 1. 57 0.053







877 A 2 2 1. 66 0.03







878 A 9 9 1. 31 0.29







879 F 0 0 N/A 0 N/A







880 C 9 6 0.96 20 0.3







881 A 2 2 1. 46 0.043







882 A 1 0 1. 15 0.







883 A 12 9 1. 17 0.529







884 A 13 10 1.22 33 0.303







885 F 0 0 N/A 0 N/A