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 | F | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 67 | 67 | 67 | 0 | 0 | 65 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.97 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.081 | 0.419 | 0.000 | 0.000 | 0.083 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | B | C | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 141 | 141 | 100 | 260 | 309 | 227 | 350 | 8802 | 260 |
N.S. |
1 | 1.00 | 0.71 | 1.84 | 2.19 | 1.61 | 2.48 | 62.43 | 1.84 |
time (sec) |
N/A | 0.074 | 0.465 | 0.164 | 0.204 | 0.286 | 0.113 | 0.503 | 0.167 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | C | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 110 | 110 | 78 | 165 | 206 | 147 | 231 | 4706 | 165 |
N.S. |
1 | 1.00 | 0.71 | 1.50 | 1.87 | 1.34 | 2.10 | 42.78 | 1.50 |
time (sec) |
N/A | 0.048 | 0.156 | 0.108 | 0.222 | 0.282 | 0.098 | 0.463 | 0.100 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | C | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 79 | 79 | 56 | 91 | 123 | 84 | 133 | 2214 | 91 |
N.S. |
1 | 1.00 | 0.71 | 1.15 | 1.56 | 1.06 | 1.68 | 28.03 | 1.15 |
time (sec) |
N/A | 0.029 | 0.244 | 0.126 | 0.189 | 0.258 | 0.092 | 0.352 | 0.082 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | C | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 48 | 48 | 34 | 38 | 60 | 38 | 60 | 898 | 38 |
N.S. |
1 | 1.00 | 0.71 | 0.79 | 1.25 | 0.79 | 1.25 | 18.71 | 0.79 |
time (sec) |
N/A | 0.012 | 0.142 | 0.016 | 0.183 | 0.264 | 0.071 | 0.363 | 0.061 |
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 | 20 | 20 | 21 | 21 | 20 | 21 | 20 | 21 | 21 |
N.S. |
1 | 1.00 | 1.05 | 1.05 | 1.00 | 1.05 | 1.00 | 1.05 | 1.05 |
time (sec) |
N/A | 0.002 | 0.022 | 0.012 | 0.177 | 0.271 | 0.049 | 0.332 | 0.041 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 31 | 31 | 31 | 56 | 0 | 39 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 1.81 | 0.00 | 1.26 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.015 | 0.089 | 0.112 | 0.000 | 0.263 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 57 | 57 | 55 | 99 | 0 | 77 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.96 | 1.74 | 0.00 | 1.35 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.032 | 0.298 | 0.094 | 0.000 | 0.262 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 95 | 95 | 88 | 155 | 0 | 134 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.93 | 1.63 | 0.00 | 1.41 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.048 | 0.237 | 0.159 | 0.000 | 0.263 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 128 | 128 | 99 | 199 | 0 | 209 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.77 | 1.55 | 0.00 | 1.63 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.069 | 0.250 | 0.347 | 0.000 | 0.264 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 161 | 161 | 121 | 243 | 0 | 300 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.75 | 1.51 | 0.00 | 1.86 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.103 | 0.240 | 0.306 | 0.000 | 0.282 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | B | C | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 141 | 141 | 100 | 260 | 309 | 227 | 350 | 8802 | 260 |
N.S. |
1 | 1.00 | 0.71 | 1.84 | 2.19 | 1.61 | 2.48 | 62.43 | 1.84 |
time (sec) |
N/A | 0.085 | 0.017 | 0.059 | 0.206 | 0.266 | 0.109 | 0.602 | 0.087 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | C | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 110 | 110 | 78 | 165 | 206 | 147 | 231 | 4706 | 165 |
N.S. |
1 | 1.00 | 0.71 | 1.50 | 1.87 | 1.34 | 2.10 | 42.78 | 1.50 |
time (sec) |
N/A | 0.060 | 0.008 | 0.037 | 0.206 | 0.273 | 0.101 | 0.407 | 0.067 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | C | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 79 | 79 | 56 | 91 | 123 | 84 | 133 | 2214 | 91 |
N.S. |
1 | 1.00 | 0.71 | 1.15 | 1.56 | 1.06 | 1.68 | 28.03 | 1.15 |
time (sec) |
N/A | 0.029 | 0.016 | 0.023 | 0.191 | 0.256 | 0.087 | 0.367 | 0.056 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 57 | 57 | 55 | 99 | 0 | 77 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.96 | 1.74 | 0.00 | 1.35 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.031 | 0.011 | 0.246 | 0.000 | 0.269 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 95 | 95 | 88 | 155 | 0 | 134 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.93 | 1.63 | 0.00 | 1.41 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.069 | 0.011 | 0.083 | 0.000 | 0.282 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 128 | 128 | 99 | 199 | 0 | 209 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.77 | 1.55 | 0.00 | 1.63 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.092 | 0.013 | 0.123 | 0.000 | 0.266 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 161 | 161 | 121 | 243 | 0 | 300 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.75 | 1.51 | 0.00 | 1.86 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.121 | 0.014 | 0.191 | 0.000 | 0.279 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 72 | 72 | 72 | 0 | 0 | 68 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.94 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.041 | 0.086 | 0.000 | 0.000 | 0.090 | 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 | 71 | 71 | 71 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.048 | 0.078 | 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 | 71 | 71 | 71 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.038 | 0.073 | 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 | 71 | 71 | 71 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.041 | 0.042 | 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 | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 67 | 67 | 67 | 0 | 0 | 65 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.97 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.016 | 0.008 | 0.000 | 0.000 | 0.080 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 69 | 69 | 69 | 0 | 0 | 67 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.97 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.015 | 0.046 | 0.000 | 0.000 | 0.085 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F(-2) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 73 | 73 | 73 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.040 | 0.036 | 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 | 73 | 73 | 73 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.039 | 0.036 | 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 | 14 | 13 | 13 |
N.S. |
1 | 1.00 | 1.00 | 0.93 | 0.87 | 0.87 | 0.93 | 0.87 | 0.87 |
time (sec) |
N/A | 0.002 | 0.020 | 0.013 | 0.213 | 0.259 | 0.042 | 0.334 | 0.075 |
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 | 16 | 15 | 15 | 15 | 15 | 15 |
N.S. |
1 | 1.00 | 1.00 | 1.07 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 |
time (sec) |
N/A | 0.002 | 0.015 | 0.013 | 0.178 | 0.248 | 0.040 | 0.398 | 0.060 |
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 | 19 | 19 | 19 | 12 | 13 | 13 | 10 | 13 | 11 |
N.S. |
1 | 1.00 | 1.00 | 0.63 | 0.68 | 0.68 | 0.53 | 0.68 | 0.58 |
time (sec) |
N/A | 0.004 | 0.018 | 0.028 | 0.191 | 0.255 | 0.048 | 0.302 | 0.067 |
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 | 131 | 131 | 36 | 99 | 24 | 89 | 0 | 94 | 82 |
N.S. |
1 | 1.00 | 0.27 | 0.76 | 0.18 | 0.68 | 0.00 | 0.72 | 0.63 |
time (sec) |
N/A | 0.111 | 0.087 | 0.022 | 0.228 | 0.266 | 0.000 | 0.310 | 0.105 |
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 | 108 | 108 | 36 | 87 | 24 | 77 | 0 | 82 | 72 |
N.S. |
1 | 1.00 | 0.33 | 0.81 | 0.22 | 0.71 | 0.00 | 0.76 | 0.67 |
time (sec) |
N/A | 0.063 | 0.072 | 0.011 | 0.229 | 0.254 | 0.000 | 0.339 | 0.066 |
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 | 85 | 85 | 36 | 75 | 24 | 65 | 0 | 70 | 75 |
N.S. |
1 | 1.00 | 0.42 | 0.88 | 0.28 | 0.76 | 0.00 | 0.82 | 0.88 |
time (sec) |
N/A | 0.044 | 0.096 | 0.008 | 0.226 | 0.252 | 0.000 | 0.326 | 0.068 |
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 | 62 | 62 | 30 | 66 | 24 | 51 | 0 | 58 | 55 |
N.S. |
1 | 1.00 | 0.48 | 1.06 | 0.39 | 0.82 | 0.00 | 0.94 | 0.89 |
time (sec) |
N/A | 0.029 | 0.058 | 0.008 | 0.228 | 0.257 | 0.000 | 0.308 | 0.066 |
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 | 38 | 38 | 30 | 27 | 29 | 34 | 0 | 28 | 32 |
N.S. |
1 | 1.00 | 0.79 | 0.71 | 0.76 | 0.89 | 0.00 | 0.74 | 0.84 |
time (sec) |
N/A | 0.018 | 0.070 | 0.010 | 0.225 | 0.264 | 0.000 | 0.469 | 0.081 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 54 | 54 | 38 | 64 | 24 | 44 | 0 | 0 | 42 |
N.S. |
1 | 1.00 | 0.70 | 1.19 | 0.44 | 0.81 | 0.00 | 0.00 | 0.78 |
time (sec) |
N/A | 0.030 | 0.116 | 0.010 | 0.234 | 0.263 | 0.000 | 0.000 | 0.087 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 77 | 77 | 49 | 72 | 24 | 58 | 0 | 0 | 61 |
N.S. |
1 | 1.00 | 0.64 | 0.94 | 0.31 | 0.75 | 0.00 | 0.00 | 0.79 |
time (sec) |
N/A | 0.044 | 0.106 | 0.010 | 0.227 | 0.259 | 0.000 | 0.000 | 0.095 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 100 | 100 | 61 | 84 | 24 | 74 | 0 | 0 | 80 |
N.S. |
1 | 1.00 | 0.61 | 0.84 | 0.24 | 0.74 | 0.00 | 0.00 | 0.80 |
time (sec) |
N/A | 0.058 | 0.125 | 0.011 | 0.231 | 0.254 | 0.000 | 0.000 | 0.100 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 123 | 123 | 73 | 96 | 24 | 86 | 0 | 0 | 99 |
N.S. |
1 | 1.00 | 0.59 | 0.78 | 0.20 | 0.70 | 0.00 | 0.00 | 0.80 |
time (sec) |
N/A | 0.076 | 0.148 | 0.010 | 0.229 | 0.269 | 0.000 | 0.000 | 0.098 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F(-1) | B | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 208 | 208 | 72 | 0 | 0 | 230 | 0 | 1023 | 0 |
N.S. |
1 | 1.00 | 0.35 | 0.00 | 0.00 | 1.11 | 0.00 | 4.92 | 0.00 |
time (sec) |
N/A | 0.181 | 0.193 | 0.000 | 0.000 | 0.259 | 0.000 | 0.459 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 173 | 173 | 72 | 0 | 0 | 167 | 0 | 643 | 0 |
N.S. |
1 | 1.00 | 0.42 | 0.00 | 0.00 | 0.97 | 0.00 | 3.72 | 0.00 |
time (sec) |
N/A | 0.102 | 0.126 | 0.000 | 0.000 | 0.264 | 0.000 | 0.429 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 138 | 138 | 63 | 0 | 0 | 121 | 0 | 372 | 0 |
N.S. |
1 | 1.00 | 0.46 | 0.00 | 0.00 | 0.88 | 0.00 | 2.70 | 0.00 |
time (sec) |
N/A | 0.076 | 0.153 | 0.000 | 0.000 | 0.261 | 0.000 | 0.437 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 105 | 105 | 63 | 0 | 0 | 90 | 0 | 189 | 0 |
N.S. |
1 | 1.00 | 0.60 | 0.00 | 0.00 | 0.86 | 0.00 | 1.80 | 0.00 |
time (sec) |
N/A | 0.050 | 0.093 | 0.000 | 0.000 | 0.258 | 0.000 | 0.320 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 72 | 72 | 63 | 0 | 0 | 64 | 0 | 56 | 0 |
N.S. |
1 | 1.00 | 0.88 | 0.00 | 0.00 | 0.89 | 0.00 | 0.78 | 0.00 |
time (sec) |
N/A | 0.030 | 0.094 | 0.000 | 0.000 | 0.261 | 0.000 | 0.300 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 97 | 97 | 75 | 0 | 0 | 90 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.77 | 0.00 | 0.00 | 0.93 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.057 | 0.176 | 0.000 | 0.000 | 0.251 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 130 | 130 | 92 | 0 | 0 | 140 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.71 | 0.00 | 0.00 | 1.08 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.084 | 0.277 | 0.000 | 0.000 | 0.249 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 165 | 165 | 118 | 0 | 0 | 230 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.72 | 0.00 | 0.00 | 1.39 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.110 | 0.246 | 0.000 | 0.000 | 0.258 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 200 | 200 | 144 | 0 | 0 | 321 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.72 | 0.00 | 0.00 | 1.60 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.142 | 0.328 | 0.000 | 0.000 | 0.259 | 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 | 151 | 151 | 24 | 78 | 79 | 82 | 138 | 80 | 89 |
N.S. |
1 | 1.00 | 0.16 | 0.52 | 0.52 | 0.54 | 0.91 | 0.53 | 0.59 |
time (sec) |
N/A | 0.089 | 0.609 | 0.096 | 0.188 | 0.263 | 127.004 | 0.299 | 0.104 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 71 | 71 | 63 | 0 | 0 | 117 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.89 | 0.00 | 0.00 | 1.65 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.020 | 0.184 | 0.000 | 0.000 | 0.083 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 98 | 98 | 78 | 0 | 0 | 133 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.80 | 0.00 | 0.00 | 1.36 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.069 | 0.200 | 0.000 | 0.000 | 0.086 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | C | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 48 | 48 | 34 | 38 | 60 | 38 | 60 | 898 | 38 |
N.S. |
1 | 1.00 | 0.71 | 0.79 | 1.25 | 0.79 | 1.25 | 18.71 | 0.79 |
time (sec) |
N/A | 0.013 | 0.007 | 0.000 | 0.190 | 0.242 | 0.061 | 0.347 | 0.002 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | C | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 135 | 135 | 56 | 80 | 117 | 74 | 116 | 2068 | 80 |
N.S. |
1 | 1.00 | 0.41 | 0.59 | 0.87 | 0.55 | 0.86 | 15.32 | 0.59 |
time (sec) |
N/A | 0.078 | 0.118 | 0.020 | 0.210 | 0.275 | 0.075 | 0.355 | 0.149 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | C | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 229 | 229 | 84 | 138 | 194 | 122 | 190 | 4188 | 138 |
N.S. |
1 | 1.00 | 0.37 | 0.60 | 0.85 | 0.53 | 0.83 | 18.29 | 0.60 |
time (sec) |
N/A | 0.128 | 0.176 | 0.027 | 0.204 | 0.255 | 0.088 | 0.377 | 0.183 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | C | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 348 | 348 | 117 | 212 | 291 | 182 | 284 | 7630 | 212 |
N.S. |
1 | 1.00 | 0.34 | 0.61 | 0.84 | 0.52 | 0.82 | 21.93 | 0.61 |
time (sec) |
N/A | 0.215 | 0.540 | 0.033 | 0.195 | 0.252 | 0.120 | 0.414 | 0.217 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 116 | 116 | 61 | 334 | 123 | 126 | 99 | 0 | 0 |
N.S. |
1 | 1.00 | 0.53 | 2.88 | 1.06 | 1.09 | 0.85 | 0.00 | 0.00 |
time (sec) |
N/A | 0.115 | 0.218 | 0.342 | 0.112 | 0.084 | 9.756 | 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 | 397 | 397 | 121 | 178 | 196 | 121 | 236 | 202 | 175 |
N.S. |
1 | 1.00 | 0.30 | 0.45 | 0.49 | 0.30 | 0.59 | 0.51 | 0.44 |
time (sec) |
N/A | 0.341 | 0.283 | 0.210 | 0.206 | 0.262 | 0.102 | 0.300 | 0.201 |
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 | 318 | 318 | 130 | 143 | 164 | 102 | 196 | 163 | 126 |
N.S. |
1 | 1.00 | 0.41 | 0.45 | 0.52 | 0.32 | 0.62 | 0.51 | 0.40 |
time (sec) |
N/A | 0.265 | 0.218 | 0.161 | 0.192 | 0.250 | 0.096 | 0.335 | 0.199 |
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 | 184 | 184 | 96 | 102 | 132 | 78 | 148 | 123 | 117 |
N.S. |
1 | 1.00 | 0.52 | 0.55 | 0.72 | 0.42 | 0.80 | 0.67 | 0.64 |
time (sec) |
N/A | 0.165 | 0.172 | 0.197 | 0.197 | 0.266 | 0.087 | 0.294 | 0.108 |
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 | 80 | 80 | 41 | 68 | 103 | 57 | 104 | 87 | 66 |
N.S. |
1 | 1.00 | 0.51 | 0.85 | 1.29 | 0.71 | 1.30 | 1.09 | 0.82 |
time (sec) |
N/A | 0.042 | 0.170 | 0.164 | 0.184 | 0.268 | 0.077 | 0.297 | 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 | 102 | 102 | 52 | 96 | 69 | 50 | 70 | 95 | 69 |
N.S. |
1 | 1.00 | 0.51 | 0.94 | 0.68 | 0.49 | 0.69 | 0.93 | 0.68 |
time (sec) |
N/A | 0.102 | 0.177 | 0.210 | 0.230 | 0.268 | 3.432 | 0.291 | 0.233 |
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 | 94 | 94 | 54 | 88 | 61 | 56 | 99 | 92 | 72 |
N.S. |
1 | 1.00 | 0.57 | 0.94 | 0.65 | 0.60 | 1.05 | 0.98 | 0.77 |
time (sec) |
N/A | 0.101 | 0.188 | 0.205 | 0.244 | 0.250 | 1.465 | 0.289 | 0.242 |
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 | 130 | 130 | 68 | 112 | 64 | 70 | 56 | 125 | 100 |
N.S. |
1 | 1.00 | 0.52 | 0.86 | 0.49 | 0.54 | 0.43 | 0.96 | 0.77 |
time (sec) |
N/A | 0.134 | 0.167 | 0.225 | 0.242 | 0.262 | 1.264 | 0.287 | 0.253 |
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 | 198 | 198 | 81 | 167 | 63 | 83 | 53 | 183 | 142 |
N.S. |
1 | 1.00 | 0.41 | 0.84 | 0.32 | 0.42 | 0.27 | 0.92 | 0.72 |
time (sec) |
N/A | 0.205 | 0.203 | 0.211 | 0.252 | 0.257 | 1.168 | 0.290 | 0.228 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 139 | 139 | 86 | 433 | 123 | 161 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.62 | 3.12 | 0.88 | 1.16 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.192 | 0.271 | 0.600 | 0.115 | 0.084 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | C | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 414 | 414 | 159 | 250 | 328 | 228 | 323 | 9584 | 249 |
N.S. |
1 | 1.00 | 0.38 | 0.60 | 0.79 | 0.55 | 0.78 | 23.15 | 0.60 |
time (sec) |
N/A | 0.448 | 0.291 | 0.220 | 0.196 | 0.257 | 0.116 | 0.444 | 0.265 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | C | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 328 | 328 | 121 | 197 | 262 | 178 | 260 | 6582 | 196 |
N.S. |
1 | 1.00 | 0.37 | 0.60 | 0.80 | 0.54 | 0.79 | 20.07 | 0.60 |
time (sec) |
N/A | 0.362 | 0.256 | 0.178 | 0.194 | 0.263 | 0.106 | 0.525 | 0.207 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | C | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 242 | 242 | 91 | 144 | 196 | 132 | 199 | 4114 | 143 |
N.S. |
1 | 1.00 | 0.38 | 0.60 | 0.81 | 0.55 | 0.82 | 17.00 | 0.59 |
time (sec) |
N/A | 0.227 | 0.214 | 0.207 | 0.209 | 0.257 | 0.091 | 0.449 | 0.182 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | C | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 85 | 85 | 58 | 93 | 134 | 85 | 134 | 2264 | 92 |
N.S. |
1 | 1.00 | 0.68 | 1.09 | 1.58 | 1.00 | 1.58 | 26.64 | 1.08 |
time (sec) |
N/A | 0.078 | 0.166 | 0.203 | 0.187 | 0.245 | 0.098 | 0.465 | 0.153 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 96 | 96 | 54 | 118 | 87 | 75 | 0 | 0 | 80 |
N.S. |
1 | 1.00 | 0.56 | 1.23 | 0.91 | 0.78 | 0.00 | 0.00 | 0.83 |
time (sec) |
N/A | 0.159 | 0.270 | 0.211 | 0.242 | 0.260 | 0.000 | 0.000 | 0.228 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 85 | 85 | 58 | 153 | 68 | 83 | 0 | 0 | 89 |
N.S. |
1 | 1.00 | 0.68 | 1.80 | 0.80 | 0.98 | 0.00 | 0.00 | 1.05 |
time (sec) |
N/A | 0.175 | 0.250 | 0.230 | 0.259 | 0.239 | 0.000 | 0.000 | 0.253 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 136 | 136 | 76 | 208 | 74 | 89 | 0 | 0 | 133 |
N.S. |
1 | 1.00 | 0.56 | 1.53 | 0.54 | 0.65 | 0.00 | 0.00 | 0.98 |
time (sec) |
N/A | 0.230 | 0.326 | 0.234 | 0.269 | 0.233 | 0.000 | 0.000 | 0.282 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 217 | 217 | 116 | 294 | 85 | 137 | 0 | 0 | 202 |
N.S. |
1 | 1.00 | 0.53 | 1.35 | 0.39 | 0.63 | 0.00 | 0.00 | 0.93 |
time (sec) |
N/A | 0.291 | 0.277 | 0.200 | 0.267 | 0.237 | 0.000 | 0.000 | 0.302 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 321 | 321 | 156 | 386 | 93 | 186 | 0 | 0 | 258 |
N.S. |
1 | 1.00 | 0.49 | 1.20 | 0.29 | 0.58 | 0.00 | 0.00 | 0.80 |
time (sec) |
N/A | 0.367 | 0.318 | 0.239 | 0.269 | 0.246 | 0.000 | 0.000 | 0.307 |
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 | 754 | 754 | 458 | 900 | 894 | 544 | 1445 | 1096 | 803 |
N.S. |
1 | 1.00 | 0.61 | 1.19 | 1.19 | 0.72 | 1.92 | 1.45 | 1.06 |
time (sec) |
N/A | 0.603 | 6.787 | 0.188 | 0.223 | 0.244 | 0.292 | 0.384 | 0.485 |
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 | 495 | 495 | 320 | 560 | 599 | 354 | 899 | 674 | 537 |
N.S. |
1 | 1.00 | 0.65 | 1.13 | 1.21 | 0.72 | 1.82 | 1.36 | 1.08 |
time (sec) |
N/A | 0.412 | 2.074 | 0.219 | 0.214 | 0.239 | 0.229 | 0.388 | 0.307 |
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 | 271 | 271 | 191 | 276 | 344 | 197 | 447 | 331 | 264 |
N.S. |
1 | 1.00 | 0.70 | 1.02 | 1.27 | 0.73 | 1.65 | 1.22 | 0.97 |
time (sec) |
N/A | 0.222 | 0.731 | 0.159 | 0.204 | 0.250 | 0.138 | 0.330 | 0.214 |
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 | 102 | 102 | 50 | 99 | 149 | 83 | 158 | 132 | 120 |
N.S. |
1 | 1.00 | 0.49 | 0.97 | 1.46 | 0.81 | 1.55 | 1.29 | 1.18 |
time (sec) |
N/A | 0.072 | 0.255 | 0.154 | 0.187 | 0.237 | 0.099 | 0.338 | 0.111 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 277 | 277 | 175 | 489 | 0 | 235 | 0 | 546 | 0 |
N.S. |
1 | 1.00 | 0.63 | 1.77 | 0.00 | 0.85 | 0.00 | 1.97 | 0.00 |
time (sec) |
N/A | 0.221 | 0.738 | 0.263 | 0.000 | 0.241 | 0.000 | 0.350 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 258 | 258 | 163 | 406 | 0 | 353 | 0 | 2861 | 0 |
N.S. |
1 | 1.00 | 0.63 | 1.57 | 0.00 | 1.37 | 0.00 | 11.09 | 0.00 |
time (sec) |
N/A | 0.244 | 1.184 | 0.196 | 0.000 | 0.271 | 0.000 | 0.366 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 294 | 294 | 267 | 418 | 0 | 550 | 0 | 1995 | 0 |
N.S. |
1 | 1.00 | 0.91 | 1.42 | 0.00 | 1.87 | 0.00 | 6.79 | 0.00 |
time (sec) |
N/A | 0.262 | 1.888 | 0.248 | 0.000 | 0.265 | 0.000 | 0.407 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 396 | 396 | 389 | 511 | 0 | 793 | 0 | 3178 | 0 |
N.S. |
1 | 1.00 | 0.98 | 1.29 | 0.00 | 2.00 | 0.00 | 8.03 | 0.00 |
time (sec) |
N/A | 0.329 | 2.262 | 0.204 | 0.000 | 0.283 | 0.000 | 0.398 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 557 | 557 | 669 | 596 | 0 | 1084 | 0 | 16988 | 0 |
N.S. |
1 | 1.00 | 1.20 | 1.07 | 0.00 | 1.95 | 0.00 | 30.50 | 0.00 |
time (sec) |
N/A | 0.440 | 2.299 | 0.269 | 0.000 | 0.283 | 0.000 | 0.481 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 25 | 26 | 42 | 32 | 0 | 0 | 25 |
N.S. |
1 | 1.00 | 1.04 | 1.08 | 1.75 | 1.33 | 0.00 | 0.00 | 1.04 |
time (sec) |
N/A | 0.089 | 0.192 | 307.214 | 0.263 | 0.270 | 0.000 | 0.000 | 0.280 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | F(-2) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 22 | 22 | 23 | 25 | 42 | 25 | 0 | 0 | 23 |
N.S. |
1 | 1.00 | 1.05 | 1.14 | 1.91 | 1.14 | 0.00 | 0.00 | 1.05 |
time (sec) |
N/A | 0.082 | 0.116 | 41.589 | 0.270 | 0.253 | 0.000 | 0.000 | 0.194 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | F(-2) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 22 | 22 | 23 | 25 | 42 | 25 | 0 | 0 | 23 |
N.S. |
1 | 1.00 | 1.05 | 1.14 | 1.91 | 1.14 | 0.00 | 0.00 | 1.05 |
time (sec) |
N/A | 0.067 | 0.106 | 23.717 | 0.269 | 0.274 | 0.000 | 0.000 | 0.186 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | F(-2) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 20 | 20 | 21 | 23 | 38 | 23 | 0 | 0 | 21 |
N.S. |
1 | 1.00 | 1.05 | 1.15 | 1.90 | 1.15 | 0.00 | 0.00 | 1.05 |
time (sec) |
N/A | 0.030 | 0.103 | 13.035 | 0.250 | 0.273 | 0.000 | 0.000 | 0.170 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | F(-2) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 19 | 19 | 19 | 22 | 36 | 22 | 0 | 0 | 20 |
N.S. |
1 | 1.00 | 1.00 | 1.16 | 1.89 | 1.16 | 0.00 | 0.00 | 1.05 |
time (sec) |
N/A | 0.079 | 0.024 | 15.115 | 0.265 | 0.297 | 0.000 | 0.000 | 0.177 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | F(-2) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 22 | 22 | 23 | 25 | 39 | 25 | 0 | 0 | 23 |
N.S. |
1 | 1.00 | 1.05 | 1.14 | 1.77 | 1.14 | 0.00 | 0.00 | 1.05 |
time (sec) |
N/A | 0.100 | 0.197 | 15.318 | 0.261 | 0.284 | 0.000 | 0.000 | 0.242 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 22 | 22 | 23 | 25 | 39 | 25 | 0 | 0 | 23 |
N.S. |
1 | 1.00 | 1.05 | 1.14 | 1.77 | 1.14 | 0.00 | 0.00 | 1.05 |
time (sec) |
N/A | 0.085 | 0.209 | 15.315 | 0.266 | 0.279 | 0.000 | 0.000 | 0.239 |
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 | 91 | 91 | 45 | 43 | 60 | 43 | 51 | 43 | 45 |
N.S. |
1 | 1.00 | 0.49 | 0.47 | 0.66 | 0.47 | 0.56 | 0.47 | 0.49 |
time (sec) |
N/A | 0.090 | 0.109 | 0.043 | 0.186 | 0.257 | 0.071 | 0.317 | 0.172 |
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 | 72 | 72 | 37 | 35 | 48 | 35 | 42 | 35 | 37 |
N.S. |
1 | 1.00 | 0.51 | 0.49 | 0.67 | 0.49 | 0.58 | 0.49 | 0.51 |
time (sec) |
N/A | 0.071 | 0.093 | 0.020 | 0.178 | 0.259 | 0.071 | 0.332 | 0.052 |
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 | 53 | 53 | 29 | 27 | 36 | 27 | 34 | 27 | 29 |
N.S. |
1 | 1.00 | 0.55 | 0.51 | 0.68 | 0.51 | 0.64 | 0.51 | 0.55 |
time (sec) |
N/A | 0.041 | 0.086 | 0.017 | 0.198 | 0.248 | 0.053 | 0.324 | 0.097 |
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 | 34 | 34 | 21 | 19 | 24 | 19 | 26 | 19 | 18 |
N.S. |
1 | 1.00 | 0.62 | 0.56 | 0.71 | 0.56 | 0.76 | 0.56 | 0.53 |
time (sec) |
N/A | 0.017 | 0.062 | 0.020 | 0.183 | 0.248 | 0.054 | 0.347 | 0.043 |
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 | 16 | 16 | 16 | 14 | 14 | 14 | 14 | 14 | 13 |
N.S. |
1 | 1.00 | 1.00 | 0.88 | 0.88 | 0.88 | 0.88 | 0.88 | 0.81 |
time (sec) |
N/A | 0.004 | 0.021 | 0.016 | 0.199 | 0.245 | 0.039 | 0.349 | 0.066 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 27 | 27 | 27 | 57 | 10 | 10 | 0 | 10 | 0 |
N.S. |
1 | 1.00 | 1.00 | 2.11 | 0.37 | 0.37 | 0.00 | 0.37 | 0.00 |
time (sec) |
N/A | 0.045 | 0.078 | 0.014 | 0.228 | 0.254 | 0.000 | 0.336 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 48 | 48 | 47 | 116 | 13 | 29 | 0 | 29 | 0 |
N.S. |
1 | 1.00 | 0.98 | 2.42 | 0.27 | 0.60 | 0.00 | 0.60 | 0.00 |
time (sec) |
N/A | 0.055 | 0.097 | 0.020 | 0.220 | 0.257 | 0.000 | 0.354 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 71 | 71 | 56 | 155 | 15 | 38 | 0 | 46 | 0 |
N.S. |
1 | 1.00 | 0.79 | 2.18 | 0.21 | 0.54 | 0.00 | 0.65 | 0.00 |
time (sec) |
N/A | 0.078 | 0.106 | 0.023 | 0.230 | 0.248 | 0.000 | 0.332 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 92 | 92 | 64 | 189 | 15 | 46 | 0 | 63 | 0 |
N.S. |
1 | 1.00 | 0.70 | 2.05 | 0.16 | 0.50 | 0.00 | 0.68 | 0.00 |
time (sec) |
N/A | 0.097 | 0.115 | 0.033 | 0.229 | 0.240 | 0.000 | 0.401 | 0.000 |