Detailed conclusion table per each integral is given by the table below. The elapsed time is in seconds. For failed result it is given as F(-1) if the failure was due to timeout. It is given as F(-2) if the failure was due to an exception being raised, which could indicate a bug in the system. If the failure was due to integral not being evaluated within the time limit, then it is given as F.
In this table, the column N.S. means normalized size and is defined as \(\frac {\text {antiderivative leaf size}}{\text {optimal antiderivative leaf size}}\). To make the table fit the page, the name Mathematica was abbreviated to MMA
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 11 | 11 | 22 | 12 | 11 | 11 | 14 | 11 | 11 |
N.S. |
1 | 1.00 | 2.00 | 1.09 | 1.00 | 1.00 | 1.27 | 1.00 | 1.00 |
time (sec) |
N/A | 0.143 | 0.008 | 1.902 | 0.186 | 0.305 | 0.055 | 0.376 | 0.162 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 23 | 19 | 24 | 23 | 46 | 18 | 18 |
N.S. |
1 | 1.00 | 0.92 | 0.76 | 0.96 | 0.92 | 1.84 | 0.72 | 0.72 |
time (sec) |
N/A | 0.155 | 0.026 | 0.065 | 0.189 | 0.292 | 0.081 | 0.304 | 0.146 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 27 | 24 | 29 | 22 | 22 | 22 | 37 | 25 | 24 |
N.S. |
1 | 0.89 | 1.07 | 0.81 | 0.81 | 0.81 | 1.37 | 0.93 | 0.89 |
time (sec) |
N/A | 0.168 | 0.016 | 0.158 | 0.189 | 0.322 | 0.107 | 0.314 | 0.046 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 46 | 51 | 33 | 31 | 33 | 36 | 95 | 32 | 50 |
N.S. |
1 | 1.11 | 0.72 | 0.67 | 0.72 | 0.78 | 2.07 | 0.70 | 1.09 |
time (sec) |
N/A | 0.227 | 0.038 | 0.177 | 0.193 | 0.309 | 0.150 | 0.310 | 0.113 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 42 | 36 | 44 | 32 | 34 | 34 | 60 | 38 | 32 |
N.S. |
1 | 0.86 | 1.05 | 0.76 | 0.81 | 0.81 | 1.43 | 0.90 | 0.76 |
time (sec) |
N/A | 0.172 | 0.019 | 0.171 | 0.187 | 0.316 | 0.199 | 0.297 | 0.055 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 67 | 77 | 45 | 44 | 48 | 47 | 139 | 46 | 43 |
N.S. |
1 | 1.15 | 0.67 | 0.66 | 0.72 | 0.70 | 2.07 | 0.69 | 0.64 |
time (sec) |
N/A | 0.291 | 0.038 | 0.215 | 0.190 | 0.305 | 0.308 | 0.316 | 0.170 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 54 | 46 | 59 | 42 | 44 | 44 | 80 | 50 | 43 |
N.S. |
1 | 0.85 | 1.09 | 0.78 | 0.81 | 0.81 | 1.48 | 0.93 | 0.80 |
time (sec) |
N/A | 0.180 | 0.016 | 0.180 | 0.186 | 0.287 | 0.431 | 0.324 | 0.057 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 88 | 103 | 55 | 55 | 59 | 56 | 184 | 60 | 90 |
N.S. |
1 | 1.17 | 0.62 | 0.62 | 0.67 | 0.64 | 2.09 | 0.68 | 1.02 |
time (sec) |
N/A | 0.361 | 0.049 | 0.293 | 0.189 | 0.293 | 0.640 | 0.382 | 0.758 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 60 | 65 | 45 | 84 | 0 | 73 | 0 | 0 | 34 |
N.S. |
1 | 1.08 | 0.75 | 1.40 | 0.00 | 1.22 | 0.00 | 0.00 | 0.57 |
time (sec) |
N/A | 0.266 | 0.063 | 0.214 | 0.000 | 0.097 | 0.000 | 0.000 | 0.155 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 41 | 41 | 35 | 118 | 0 | 68 | 0 | 0 | 34 |
N.S. |
1 | 1.00 | 0.85 | 2.88 | 0.00 | 1.66 | 0.00 | 0.00 | 0.83 |
time (sec) |
N/A | 0.213 | 0.035 | 0.109 | 0.000 | 0.108 | 0.000 | 0.000 | 0.100 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 41 | 41 | 33 | 72 | 0 | 60 | 0 | 0 | 34 |
N.S. |
1 | 1.00 | 0.80 | 1.76 | 0.00 | 1.46 | 0.00 | 0.00 | 0.83 |
time (sec) |
N/A | 0.209 | 0.031 | 0.088 | 0.000 | 0.102 | 0.000 | 0.000 | 0.080 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 19 | 19 | 21 | 77 | 0 | 55 | 0 | 0 | 15 |
N.S. |
1 | 1.00 | 1.11 | 4.05 | 0.00 | 2.89 | 0.00 | 0.00 | 0.79 |
time (sec) |
N/A | 0.157 | 0.022 | 0.160 | 0.000 | 0.104 | 0.000 | 0.000 | 0.071 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 19 | 19 | 21 | 57 | 0 | 47 | 0 | 0 | 15 |
N.S. |
1 | 1.00 | 1.11 | 3.00 | 0.00 | 2.47 | 0.00 | 0.00 | 0.79 |
time (sec) |
N/A | 0.157 | 0.023 | 0.066 | 0.000 | 0.105 | 0.000 | 0.000 | 0.088 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 37 | 37 | 32 | 110 | 0 | 81 | 0 | 0 | 34 |
N.S. |
1 | 1.00 | 0.86 | 2.97 | 0.00 | 2.19 | 0.00 | 0.00 | 0.92 |
time (sec) |
N/A | 0.202 | 0.044 | 0.073 | 0.000 | 0.114 | 0.000 | 0.000 | 0.151 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 41 | 41 | 33 | 72 | 0 | 97 | 0 | 0 | 34 |
N.S. |
1 | 1.00 | 0.80 | 1.76 | 0.00 | 2.37 | 0.00 | 0.00 | 0.83 |
time (sec) |
N/A | 0.205 | 0.043 | 0.068 | 0.000 | 0.111 | 0.000 | 0.000 | 0.178 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 60 | 61 | 51 | 132 | 0 | 132 | 0 | 0 | 34 |
N.S. |
1 | 1.02 | 0.85 | 2.20 | 0.00 | 2.20 | 0.00 | 0.00 | 0.57 |
time (sec) |
N/A | 0.264 | 0.041 | 0.075 | 0.000 | 0.109 | 0.000 | 0.000 | 0.173 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 70 | 75 | 55 | 104 | 0 | 87 | 0 | 0 | 42 |
N.S. |
1 | 1.07 | 0.79 | 1.49 | 0.00 | 1.24 | 0.00 | 0.00 | 0.60 |
time (sec) |
N/A | 0.282 | 0.082 | 0.106 | 0.000 | 0.108 | 0.000 | 0.000 | 0.136 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 47 | 47 | 44 | 142 | 0 | 80 | 0 | 0 | 42 |
N.S. |
1 | 1.00 | 0.94 | 3.02 | 0.00 | 1.70 | 0.00 | 0.00 | 0.89 |
time (sec) |
N/A | 0.211 | 0.059 | 0.074 | 0.000 | 0.119 | 0.000 | 0.000 | 0.106 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 47 | 47 | 40 | 88 | 0 | 72 | 0 | 0 | 42 |
N.S. |
1 | 1.00 | 0.85 | 1.87 | 0.00 | 1.53 | 0.00 | 0.00 | 0.89 |
time (sec) |
N/A | 0.212 | 0.027 | 0.047 | 0.000 | 0.124 | 0.000 | 0.000 | 0.097 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 21 | 21 | 24 | 91 | 0 | 63 | 0 | 0 | 18 |
N.S. |
1 | 1.00 | 1.14 | 4.33 | 0.00 | 3.00 | 0.00 | 0.00 | 0.86 |
time (sec) |
N/A | 0.159 | 0.013 | 0.099 | 0.000 | 0.118 | 0.000 | 0.000 | 0.057 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 21 | 21 | 24 | 69 | 0 | 55 | 0 | 0 | 18 |
N.S. |
1 | 1.00 | 1.14 | 3.29 | 0.00 | 2.62 | 0.00 | 0.00 | 0.86 |
time (sec) |
N/A | 0.156 | 0.014 | 0.056 | 0.000 | 0.115 | 0.000 | 0.000 | 0.073 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 43 | 43 | 39 | 132 | 0 | 99 | 0 | 0 | 42 |
N.S. |
1 | 1.00 | 0.91 | 3.07 | 0.00 | 2.30 | 0.00 | 0.00 | 0.98 |
time (sec) |
N/A | 0.215 | 0.057 | 0.047 | 0.000 | 0.090 | 0.000 | 0.000 | 0.141 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 47 | 47 | 43 | 88 | 0 | 115 | 0 | 0 | 42 |
N.S. |
1 | 1.00 | 0.91 | 1.87 | 0.00 | 2.45 | 0.00 | 0.00 | 0.89 |
time (sec) |
N/A | 0.217 | 0.079 | 0.044 | 0.000 | 0.112 | 0.000 | 0.000 | 0.193 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 70 | 71 | 55 | 160 | 0 | 158 | 0 | 0 | 42 |
N.S. |
1 | 1.01 | 0.79 | 2.29 | 0.00 | 2.26 | 0.00 | 0.00 | 0.60 |
time (sec) |
N/A | 0.286 | 0.207 | 0.048 | 0.000 | 0.104 | 0.000 | 0.000 | 0.185 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 103 | 109 | 80 | 108 | 0 | 105 | 0 | 0 | 0 |
N.S. |
1 | 1.06 | 0.78 | 1.05 | 0.00 | 1.02 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.401 | 0.126 | 0.236 | 0.000 | 0.107 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 75 | 75 | 66 | 152 | 0 | 101 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.88 | 2.03 | 0.00 | 1.35 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.299 | 0.088 | 0.136 | 0.000 | 0.106 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 75 | 75 | 62 | 97 | 0 | 81 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.83 | 1.29 | 0.00 | 1.08 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.298 | 0.046 | 0.096 | 0.000 | 0.125 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 43 | 43 | 42 | 98 | 0 | 67 | 0 | 0 | 36 |
N.S. |
1 | 1.00 | 0.98 | 2.28 | 0.00 | 1.56 | 0.00 | 0.00 | 0.84 |
time (sec) |
N/A | 0.223 | 0.025 | 0.165 | 0.000 | 0.110 | 0.000 | 0.000 | 0.073 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 43 | 43 | 42 | 74 | 0 | 62 | 0 | 0 | 36 |
N.S. |
1 | 1.00 | 0.98 | 1.72 | 0.00 | 1.44 | 0.00 | 0.00 | 0.84 |
time (sec) |
N/A | 0.220 | 0.029 | 0.090 | 0.000 | 0.100 | 0.000 | 0.000 | 0.124 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 73 | 73 | 54 | 141 | 0 | 108 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.74 | 1.93 | 0.00 | 1.48 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.307 | 0.045 | 0.084 | 0.000 | 0.101 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 77 | 77 | 55 | 105 | 0 | 127 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.71 | 1.36 | 0.00 | 1.65 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.323 | 0.064 | 0.092 | 0.000 | 0.110 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 105 | 109 | 68 | 168 | 0 | 170 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 0.65 | 1.60 | 0.00 | 1.62 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.394 | 0.126 | 0.104 | 0.000 | 0.109 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 58 | 58 | 55 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.95 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.183 | 0.040 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 58 | 58 | 55 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.95 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.183 | 0.028 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | C | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 517 | 58 | 55 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.11 | 0.11 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.184 | 0.029 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | C | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 252 | 58 | 55 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.23 | 0.22 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.183 | 0.030 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | C | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 271 | 56 | 53 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.21 | 0.20 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.180 | 0.030 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 56 | 56 | 53 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.95 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.184 | 0.029 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 63 | 63 | 63 | 0 | 0 | 0 | 0 | 0 | 54 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.86 |
time (sec) |
N/A | 0.185 | 0.034 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.337 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 68 | 68 | 63 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.93 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.200 | 0.030 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 81 | 81 | 76 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.94 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.245 | 0.059 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 15 | 15 | 15 | 14 | 13 | 13 | 22 | 24 | 13 |
N.S. |
1 | 1.00 | 1.00 | 0.93 | 0.87 | 0.87 | 1.47 | 1.60 | 0.87 |
time (sec) |
N/A | 0.178 | 0.003 | 0.065 | 0.184 | 0.315 | 0.144 | 0.296 | 0.035 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 15 | 15 | 15 | 14 | 13 | 13 | 22 | 13 | 13 |
N.S. |
1 | 1.00 | 1.00 | 0.93 | 0.87 | 0.87 | 1.47 | 0.87 | 0.87 |
time (sec) |
N/A | 0.177 | 0.003 | 0.053 | 0.191 | 0.330 | 0.099 | 0.303 | 0.026 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 15 | 15 | 37 | 14 | 13 | 13 | 19 | 13 | 28 |
N.S. |
1 | 1.00 | 2.47 | 0.93 | 0.87 | 0.87 | 1.27 | 0.87 | 1.87 |
time (sec) |
N/A | 0.167 | 0.013 | 0.027 | 0.188 | 0.306 | 0.072 | 0.400 | 0.117 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 12 | 12 | 12 | 12 | 18 | 14 | 0 | 18 | 16 |
N.S. |
1 | 1.00 | 1.00 | 1.00 | 1.50 | 1.17 | 0.00 | 1.50 | 1.33 |
time (sec) |
N/A | 0.160 | 0.007 | 0.056 | 0.184 | 0.331 | 0.000 | 0.319 | 0.138 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 10 | 10 | 10 | 11 | 12 | 12 | 0 | 12 | 20 |
N.S. |
1 | 1.00 | 1.00 | 1.10 | 1.20 | 1.20 | 0.00 | 1.20 | 2.00 |
time (sec) |
N/A | 0.167 | 0.007 | 0.048 | 0.188 | 0.301 | 0.000 | 0.325 | 0.140 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 15 | 15 | 15 | 14 | 17 | 13 | 0 | 13 | 13 |
N.S. |
1 | 1.00 | 1.00 | 0.93 | 1.13 | 0.87 | 0.00 | 0.87 | 0.87 |
time (sec) |
N/A | 0.174 | 0.009 | 0.061 | 0.187 | 0.324 | 0.000 | 0.397 | 0.072 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 15 | 15 | 15 | 14 | 13 | 13 | 0 | 13 | 13 |
N.S. |
1 | 1.00 | 1.00 | 0.93 | 0.87 | 0.87 | 0.00 | 0.87 | 0.87 |
time (sec) |
N/A | 0.176 | 0.007 | 0.079 | 0.184 | 0.302 | 0.000 | 0.338 | 0.113 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 61 | 53 | 47 | 47 | 46 | 53 | 88 | 54 | 45 |
N.S. |
1 | 0.87 | 0.77 | 0.77 | 0.75 | 0.87 | 1.44 | 0.89 | 0.74 |
time (sec) |
N/A | 0.210 | 0.124 | 0.217 | 0.187 | 0.347 | 0.912 | 0.317 | 0.078 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 46 | 41 | 37 | 36 | 36 | 43 | 66 | 54 | 36 |
N.S. |
1 | 0.89 | 0.80 | 0.78 | 0.78 | 0.93 | 1.43 | 1.17 | 0.78 |
time (sec) |
N/A | 0.205 | 0.063 | 0.132 | 0.192 | 0.315 | 0.450 | 0.319 | 0.041 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 31 | 29 | 27 | 26 | 26 | 33 | 44 | 26 | 26 |
N.S. |
1 | 0.94 | 0.87 | 0.84 | 0.84 | 1.06 | 1.42 | 0.84 | 0.84 |
time (sec) |
N/A | 0.199 | 0.036 | 0.090 | 0.189 | 0.341 | 0.206 | 0.321 | 0.094 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 15 | 15 | 15 | 14 | 13 | 21 | 20 | 13 | 13 |
N.S. |
1 | 1.00 | 1.00 | 0.93 | 0.87 | 1.40 | 1.33 | 0.87 | 0.87 |
time (sec) |
N/A | 0.172 | 0.003 | 0.047 | 0.190 | 0.321 | 0.101 | 0.311 | 0.015 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 14 | 14 | 23 | 19 | 18 | 31 | 0 | 18 | 14 |
N.S. |
1 | 1.00 | 1.64 | 1.36 | 1.29 | 2.21 | 0.00 | 1.29 | 1.00 |
time (sec) |
N/A | 0.163 | 0.006 | 0.057 | 0.272 | 0.284 | 0.000 | 0.405 | 0.095 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 15 | 15 | 15 | 22 | 13 | 29 | 0 | 13 | 13 |
N.S. |
1 | 1.00 | 1.00 | 1.47 | 0.87 | 1.93 | 0.00 | 0.87 | 0.87 |
time (sec) |
N/A | 0.182 | 0.005 | 0.082 | 0.240 | 0.273 | 0.000 | 0.340 | 0.072 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 31 | 29 | 56 | 42 | 26 | 39 | 0 | 26 | 25 |
N.S. |
1 | 0.94 | 1.81 | 1.35 | 0.84 | 1.26 | 0.00 | 0.84 | 0.81 |
time (sec) |
N/A | 0.204 | 0.113 | 0.149 | 0.238 | 0.289 | 0.000 | 0.333 | 0.076 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 46 | 41 | 77 | 60 | 36 | 51 | 0 | 36 | 35 |
N.S. |
1 | 0.89 | 1.67 | 1.30 | 0.78 | 1.11 | 0.00 | 0.78 | 0.76 |
time (sec) |
N/A | 0.208 | 0.096 | 0.233 | 0.196 | 0.283 | 0.000 | 0.375 | 0.088 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 61 | 53 | 98 | 77 | 46 | 61 | 0 | 46 | 45 |
N.S. |
1 | 0.87 | 1.61 | 1.26 | 0.75 | 1.00 | 0.00 | 0.75 | 0.74 |
time (sec) |
N/A | 0.217 | 0.104 | 0.301 | 0.191 | 0.267 | 0.000 | 0.352 | 0.083 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 88 | 103 | 52 | 55 | 48 | 57 | 189 | 60 | 89 |
N.S. |
1 | 1.17 | 0.59 | 0.62 | 0.55 | 0.65 | 2.15 | 0.68 | 1.01 |
time (sec) |
N/A | 0.401 | 0.120 | 0.356 | 0.192 | 0.306 | 0.646 | 0.304 | 0.763 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 67 | 77 | 40 | 44 | 37 | 47 | 136 | 46 | 43 |
N.S. |
1 | 1.15 | 0.60 | 0.66 | 0.55 | 0.70 | 2.03 | 0.69 | 0.64 |
time (sec) |
N/A | 0.315 | 0.057 | 0.266 | 0.194 | 0.287 | 0.321 | 0.311 | 0.167 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 46 | 51 | 23 | 19 | 24 | 36 | 92 | 18 | 50 |
N.S. |
1 | 1.11 | 0.50 | 0.41 | 0.52 | 0.78 | 2.00 | 0.39 | 1.09 |
time (sec) |
N/A | 0.249 | 0.055 | 0.088 | 0.193 | 0.303 | 0.161 | 0.314 | 0.116 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 23 | 19 | 24 | 23 | 46 | 18 | 18 |
N.S. |
1 | 1.00 | 0.92 | 0.76 | 0.96 | 0.92 | 1.84 | 0.72 | 0.72 |
time (sec) |
N/A | 0.167 | 0.013 | 0.000 | 0.196 | 0.305 | 0.083 | 0.302 | 0.001 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 23 | 20 | 23 | 28 | 34 | 36 | 3160 | 36 | 27 |
N.S. |
1 | 0.87 | 1.00 | 1.22 | 1.48 | 1.57 | 137.39 | 1.57 | 1.17 |
time (sec) |
N/A | 0.173 | 0.011 | 0.099 | 0.200 | 0.317 | 18.822 | 0.311 | 0.125 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 34 | 34 | 34 | 48 | 46 | 61 | 0 | 48 | 69 |
N.S. |
1 | 1.00 | 1.00 | 1.41 | 1.35 | 1.79 | 0.00 | 1.41 | 2.03 |
time (sec) |
N/A | 0.239 | 0.013 | 0.106 | 0.191 | 0.303 | 0.000 | 0.334 | 0.550 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 55 | 60 | 55 | 66 | 65 | 71 | 0 | 82 | 125 |
N.S. |
1 | 1.09 | 1.00 | 1.20 | 1.18 | 1.29 | 0.00 | 1.49 | 2.27 |
time (sec) |
N/A | 0.319 | 0.015 | 0.181 | 0.192 | 0.304 | 0.000 | 0.349 | 5.676 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 76 | 86 | 76 | 84 | 91 | 84 | 0 | 73 | 177 |
N.S. |
1 | 1.13 | 1.00 | 1.11 | 1.20 | 1.11 | 0.00 | 0.96 | 2.33 |
time (sec) |
N/A | 0.407 | 0.015 | 0.256 | 0.185 | 0.292 | 0.000 | 0.356 | 7.172 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 31 | 30 | 48 | 26 | 36 | 26 | 44 | 27 | 25 |
N.S. |
1 | 0.97 | 1.55 | 0.84 | 1.16 | 0.84 | 1.42 | 0.87 | 0.81 |
time (sec) |
N/A | 0.203 | 0.097 | 0.187 | 0.197 | 0.302 | 0.627 | 0.318 | 0.104 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 31 | 30 | 27 | 26 | 26 | 26 | 46 | 27 | 26 |
N.S. |
1 | 0.97 | 0.87 | 0.84 | 0.84 | 0.84 | 1.48 | 0.87 | 0.84 |
time (sec) |
N/A | 0.204 | 0.073 | 0.150 | 0.188 | 0.288 | 0.454 | 0.315 | 0.053 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 31 | 29 | 35 | 26 | 26 | 26 | 44 | 26 | 37 |
N.S. |
1 | 0.94 | 1.13 | 0.84 | 0.84 | 0.84 | 1.42 | 0.84 | 1.19 |
time (sec) |
N/A | 0.199 | 0.040 | 0.103 | 0.190 | 0.314 | 0.305 | 0.292 | 0.241 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 31 | 30 | 27 | 26 | 26 | 26 | 46 | 27 | 26 |
N.S. |
1 | 0.97 | 0.87 | 0.84 | 0.84 | 0.84 | 1.48 | 0.87 | 0.84 |
time (sec) |
N/A | 0.201 | 0.036 | 0.089 | 0.194 | 0.290 | 0.208 | 0.314 | 0.076 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 15 | 15 | 15 | 14 | 13 | 24 | 20 | 13 | 13 |
N.S. |
1 | 1.00 | 1.00 | 0.93 | 0.87 | 1.60 | 1.33 | 0.87 | 0.87 |
time (sec) |
N/A | 0.175 | 0.002 | 0.054 | 0.185 | 0.316 | 0.145 | 0.328 | 0.085 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 28 | 25 | 25 | 25 | 25 | 25 | 0 | 29 | 25 |
N.S. |
1 | 0.89 | 0.89 | 0.89 | 0.89 | 0.89 | 0.00 | 1.04 | 0.89 |
time (sec) |
N/A | 0.192 | 0.014 | 0.132 | 0.189 | 0.318 | 0.000 | 0.307 | 0.165 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-2) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 21 | 22 | 21 | 33 | 19 | 22 | 0 | 23 | 20 |
N.S. |
1 | 1.05 | 1.00 | 1.57 | 0.90 | 1.05 | 0.00 | 1.10 | 0.95 |
time (sec) |
N/A | 0.192 | 0.066 | 0.066 | 0.184 | 0.328 | 0.000 | 0.304 | 0.236 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 27 | 27 | 25 | 23 | 31 | 34 | 0 | 42 | 27 |
N.S. |
1 | 1.00 | 0.93 | 0.85 | 1.15 | 1.26 | 0.00 | 1.56 | 1.00 |
time (sec) |
N/A | 0.215 | 0.019 | 0.125 | 0.189 | 0.320 | 0.000 | 0.362 | 0.117 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 27 | 25 | 27 | 24 | 25 | 25 | 0 | 25 | 23 |
N.S. |
1 | 0.93 | 1.00 | 0.89 | 0.93 | 0.93 | 0.00 | 0.93 | 0.85 |
time (sec) |
N/A | 0.187 | 0.070 | 0.094 | 0.190 | 0.295 | 0.000 | 0.306 | 0.192 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 15 | 15 | 15 | 26 | 39 | 25 | 0 | 25 | 13 |
N.S. |
1 | 1.00 | 1.00 | 1.73 | 2.60 | 1.67 | 0.00 | 1.67 | 0.87 |
time (sec) |
N/A | 0.181 | 0.004 | 0.093 | 0.183 | 0.306 | 0.000 | 0.335 | 0.110 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 31 | 29 | 31 | 26 | 25 | 25 | 0 | 25 | 25 |
N.S. |
1 | 0.94 | 1.00 | 0.84 | 0.81 | 0.81 | 0.00 | 0.81 | 0.81 |
time (sec) |
N/A | 0.199 | 0.106 | 0.155 | 0.191 | 0.303 | 0.000 | 0.424 | 0.282 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 31 | 29 | 31 | 26 | 49 | 25 | 0 | 25 | 25 |
N.S. |
1 | 0.94 | 1.00 | 0.84 | 1.58 | 0.81 | 0.00 | 0.81 | 0.81 |
time (sec) |
N/A | 0.200 | 0.017 | 0.166 | 0.186 | 0.289 | 0.000 | 0.356 | 0.126 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 31 | 29 | 31 | 26 | 25 | 25 | 0 | 25 | 25 |
N.S. |
1 | 0.94 | 1.00 | 0.84 | 0.81 | 0.81 | 0.00 | 0.81 | 0.81 |
time (sec) |
N/A | 0.204 | 0.086 | 0.208 | 0.186 | 0.299 | 0.000 | 0.349 | 0.379 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 31 | 29 | 31 | 26 | 59 | 25 | 0 | 25 | 35 |
N.S. |
1 | 0.94 | 1.00 | 0.84 | 1.90 | 0.81 | 0.00 | 0.81 | 1.13 |
time (sec) |
N/A | 0.202 | 0.017 | 0.274 | 0.183 | 0.310 | 0.000 | 0.416 | 0.151 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 61 | 53 | 47 | 47 | 46 | 63 | 88 | 82 | 45 |
N.S. |
1 | 0.87 | 0.77 | 0.77 | 0.75 | 1.03 | 1.44 | 1.34 | 0.74 |
time (sec) |
N/A | 0.212 | 0.135 | 0.283 | 0.187 | 0.319 | 1.831 | 0.327 | 0.111 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 46 | 41 | 37 | 36 | 36 | 53 | 66 | 68 | 36 |
N.S. |
1 | 0.89 | 0.80 | 0.78 | 0.78 | 1.15 | 1.43 | 1.48 | 0.78 |
time (sec) |
N/A | 0.206 | 0.067 | 0.210 | 0.189 | 0.337 | 0.933 | 0.324 | 0.113 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 31 | 29 | 27 | 26 | 26 | 41 | 44 | 26 | 26 |
N.S. |
1 | 0.94 | 0.87 | 0.84 | 0.84 | 1.32 | 1.42 | 0.84 | 0.84 |
time (sec) |
N/A | 0.201 | 0.042 | 0.128 | 0.187 | 0.299 | 0.459 | 0.322 | 0.034 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 15 | 15 | 15 | 14 | 13 | 31 | 20 | 13 | 13 |
N.S. |
1 | 1.00 | 1.00 | 0.93 | 0.87 | 2.07 | 1.33 | 0.87 | 0.87 |
time (sec) |
N/A | 0.172 | 0.002 | 0.073 | 0.189 | 0.341 | 0.204 | 0.307 | 0.085 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 40 | 49 | 31 | 42 | 41 | 42 | 0 | 41 | 38 |
N.S. |
1 | 1.22 | 0.78 | 1.05 | 1.02 | 1.05 | 0.00 | 1.02 | 0.95 |
time (sec) |
N/A | 0.205 | 0.154 | 0.117 | 0.276 | 0.290 | 0.000 | 0.328 | 0.189 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 28 | 28 | 38 | 28 | 29 | 46 | 0 | 29 | 24 |
N.S. |
1 | 1.00 | 1.36 | 1.00 | 1.04 | 1.64 | 0.00 | 1.04 | 0.86 |
time (sec) |
N/A | 0.229 | 0.010 | 0.102 | 0.273 | 0.303 | 0.000 | 0.341 | 0.130 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 15 | 15 | 15 | 22 | 13 | 39 | 0 | 13 | 13 |
N.S. |
1 | 1.00 | 1.00 | 1.47 | 0.87 | 2.60 | 0.00 | 0.87 | 0.87 |
time (sec) |
N/A | 0.184 | 0.005 | 0.127 | 0.193 | 0.305 | 0.000 | 0.353 | 0.144 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 31 | 29 | 77 | 42 | 26 | 49 | 0 | 26 | 25 |
N.S. |
1 | 0.94 | 2.48 | 1.35 | 0.84 | 1.58 | 0.00 | 0.84 | 0.81 |
time (sec) |
N/A | 0.203 | 0.110 | 0.206 | 0.189 | 0.282 | 0.000 | 0.416 | 0.133 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 46 | 41 | 98 | 60 | 36 | 61 | 0 | 36 | 35 |
N.S. |
1 | 0.89 | 2.13 | 1.30 | 0.78 | 1.33 | 0.00 | 0.78 | 0.76 |
time (sec) |
N/A | 0.205 | 0.102 | 0.260 | 0.196 | 0.309 | 0.000 | 0.364 | 0.168 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 111 | 131 | 62 | 66 | 48 | 66 | 231 | 74 | 109 |
N.S. |
1 | 1.18 | 0.56 | 0.59 | 0.43 | 0.59 | 2.08 | 0.67 | 0.98 |
time (sec) |
N/A | 0.507 | 0.131 | 0.326 | 0.192 | 0.314 | 1.295 | 0.325 | 1.760 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 90 | 105 | 33 | 31 | 33 | 56 | 189 | 32 | 90 |
N.S. |
1 | 1.17 | 0.37 | 0.34 | 0.37 | 0.62 | 2.10 | 0.36 | 1.00 |
time (sec) |
N/A | 0.414 | 0.063 | 0.216 | 0.186 | 0.329 | 0.660 | 0.329 | 1.325 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 69 | 79 | 40 | 42 | 37 | 46 | 136 | 46 | 43 |
N.S. |
1 | 1.14 | 0.58 | 0.61 | 0.54 | 0.67 | 1.97 | 0.67 | 0.62 |
time (sec) |
N/A | 0.337 | 0.042 | 0.137 | 0.190 | 0.312 | 0.332 | 0.315 | 0.285 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 46 | 51 | 33 | 31 | 33 | 36 | 95 | 32 | 50 |
N.S. |
1 | 1.11 | 0.72 | 0.67 | 0.72 | 0.78 | 2.07 | 0.70 | 1.09 |
time (sec) |
N/A | 0.223 | 0.023 | 0.000 | 0.200 | 0.324 | 0.166 | 0.312 | 0.002 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 38 | 32 | 38 | 38 | 46 | 48 | 0 | 48 | 53 |
N.S. |
1 | 0.84 | 1.00 | 1.00 | 1.21 | 1.26 | 0.00 | 1.26 | 1.39 |
time (sec) |
N/A | 0.198 | 0.012 | 0.120 | 0.261 | 0.295 | 0.000 | 0.310 | 0.338 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 49 | 51 | 53 | 58 | 56 | 74 | 0 | 58 | 98 |
N.S. |
1 | 1.04 | 1.08 | 1.18 | 1.14 | 1.51 | 0.00 | 1.18 | 2.00 |
time (sec) |
N/A | 0.195 | 0.014 | 0.149 | 0.269 | 0.326 | 0.000 | 0.341 | 3.884 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 55 | 60 | 73 | 76 | 71 | 74 | 0 | 63 | 126 |
N.S. |
1 | 1.09 | 1.33 | 1.38 | 1.29 | 1.35 | 0.00 | 1.15 | 2.29 |
time (sec) |
N/A | 0.318 | 0.017 | 0.168 | 0.250 | 0.306 | 0.000 | 0.362 | 6.588 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 78 | 88 | 99 | 94 | 91 | 84 | 0 | 73 | 177 |
N.S. |
1 | 1.13 | 1.27 | 1.21 | 1.17 | 1.08 | 0.00 | 0.94 | 2.27 |
time (sec) |
N/A | 0.436 | 0.019 | 0.250 | 0.238 | 0.314 | 0.000 | 0.338 | 7.168 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 99 | 114 | 120 | 112 | 111 | 94 | 0 | 107 | 229 |
N.S. |
1 | 1.15 | 1.21 | 1.13 | 1.12 | 0.95 | 0.00 | 1.08 | 2.31 |
time (sec) |
N/A | 0.547 | 0.020 | 0.391 | 0.216 | 0.310 | 0.000 | 0.369 | 7.379 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 46 | 44 | 68 | 47 | 46 | 36 | 65 | 85 | 35 |
N.S. |
1 | 0.96 | 1.48 | 1.02 | 1.00 | 0.78 | 1.41 | 1.85 | 0.76 |
time (sec) |
N/A | 0.217 | 0.236 | 0.362 | 0.228 | 0.286 | 2.628 | 0.341 | 0.146 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 46 | 42 | 37 | 37 | 36 | 36 | 68 | 82 | 36 |
N.S. |
1 | 0.91 | 0.80 | 0.80 | 0.78 | 0.78 | 1.48 | 1.78 | 0.78 |
time (sec) |
N/A | 0.207 | 0.178 | 0.250 | 0.229 | 0.324 | 1.856 | 0.406 | 0.134 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 46 | 44 | 50 | 36 | 36 | 36 | 65 | 43 | 36 |
N.S. |
1 | 0.96 | 1.09 | 0.78 | 0.78 | 0.78 | 1.41 | 0.93 | 0.78 |
time (sec) |
N/A | 0.224 | 0.049 | 0.220 | 0.197 | 0.299 | 1.252 | 0.361 | 0.211 |