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 | C | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 230 | 258 | 138 | 136 | 208 | 218 | 512 | 210 | 77 |
N.S. |
1 | 1.12 | 0.60 | 0.59 | 0.90 | 0.95 | 2.23 | 0.91 | 0.33 |
time (sec) |
N/A | 0.430 | 0.297 | 1.808 | 0.284 | 0.291 | 102.098 | 0.273 | 0.090 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 230 | 260 | 138 | 136 | 209 | 244 | 0 | 196 | 77 |
N.S. |
1 | 1.13 | 0.60 | 0.59 | 0.91 | 1.06 | 0.00 | 0.85 | 0.33 |
time (sec) |
N/A | 0.423 | 0.289 | 1.806 | 0.295 | 0.281 | 0.000 | 0.278 | 5.003 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 243 | 277 | 149 | 145 | 221 | 263 | 0 | 220 | 87 |
N.S. |
1 | 1.14 | 0.61 | 0.60 | 0.91 | 1.08 | 0.00 | 0.91 | 0.36 |
time (sec) |
N/A | 0.450 | 0.313 | 1.813 | 0.288 | 0.264 | 0.000 | 0.282 | 0.097 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 239 | 270 | 138 | 139 | 218 | 275 | 0 | 209 | 87 |
N.S. |
1 | 1.13 | 0.58 | 0.58 | 0.91 | 1.15 | 0.00 | 0.87 | 0.36 |
time (sec) |
N/A | 0.425 | 0.341 | 1.859 | 0.278 | 0.264 | 0.000 | 0.288 | 4.965 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 242 | 270 | 136 | 138 | 222 | 289 | 0 | 212 | 85 |
N.S. |
1 | 1.12 | 0.56 | 0.57 | 0.92 | 1.19 | 0.00 | 0.88 | 0.35 |
time (sec) |
N/A | 0.430 | 0.327 | 1.852 | 0.276 | 0.269 | 0.000 | 0.286 | 0.088 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 242 | 270 | 137 | 138 | 221 | 279 | 0 | 211 | 85 |
N.S. |
1 | 1.12 | 0.57 | 0.57 | 0.91 | 1.15 | 0.00 | 0.87 | 0.35 |
time (sec) |
N/A | 0.435 | 0.326 | 1.795 | 0.297 | 0.274 | 0.000 | 0.299 | 4.889 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 239 | 270 | 138 | 150 | 217 | 281 | 0 | 209 | 86 |
N.S. |
1 | 1.13 | 0.58 | 0.63 | 0.91 | 1.18 | 0.00 | 0.87 | 0.36 |
time (sec) |
N/A | 0.426 | 0.222 | 1.783 | 0.284 | 0.269 | 0.000 | 0.292 | 0.088 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 239 | 270 | 138 | 147 | 217 | 268 | 0 | 209 | 86 |
N.S. |
1 | 1.13 | 0.58 | 0.62 | 0.91 | 1.12 | 0.00 | 0.87 | 0.36 |
time (sec) |
N/A | 0.429 | 0.222 | 1.789 | 0.285 | 0.278 | 0.000 | 0.275 | 0.099 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 251 | 287 | 149 | 145 | 230 | 284 | 0 | 220 | 99 |
N.S. |
1 | 1.14 | 0.59 | 0.58 | 0.92 | 1.13 | 0.00 | 0.88 | 0.39 |
time (sec) |
N/A | 0.441 | 0.382 | 1.829 | 0.280 | 0.261 | 0.000 | 0.269 | 0.108 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 251 | 289 | 149 | 145 | 231 | 310 | 0 | 208 | 99 |
N.S. |
1 | 1.15 | 0.59 | 0.58 | 0.92 | 1.24 | 0.00 | 0.83 | 0.39 |
time (sec) |
N/A | 0.444 | 0.373 | 1.823 | 0.275 | 0.272 | 0.000 | 0.288 | 4.864 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 264 | 306 | 160 | 155 | 243 | 329 | 0 | 232 | 109 |
N.S. |
1 | 1.16 | 0.61 | 0.59 | 0.92 | 1.25 | 0.00 | 0.88 | 0.41 |
time (sec) |
N/A | 0.469 | 0.396 | 1.822 | 0.273 | 0.265 | 0.000 | 0.275 | 4.878 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | C | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 58 | 65 | 48 | 58 | 86 | 124 | 92 | 194 | 33 |
N.S. |
1 | 1.12 | 0.83 | 1.00 | 1.48 | 2.14 | 1.59 | 3.34 | 0.57 |
time (sec) |
N/A | 0.181 | 0.038 | 1.788 | 0.289 | 0.262 | 0.980 | 0.277 | 0.086 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 108 | 121 | 59 | 67 | 84 | 79 | 105 | 84 | 47 |
N.S. |
1 | 1.12 | 0.55 | 0.62 | 0.78 | 0.73 | 0.97 | 0.78 | 0.44 |
time (sec) |
N/A | 0.299 | 0.076 | 1.835 | 0.272 | 0.267 | 0.538 | 0.278 | 4.845 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 101 | 114 | 55 | 62 | 79 | 74 | 99 | 79 | 42 |
N.S. |
1 | 1.13 | 0.54 | 0.61 | 0.78 | 0.73 | 0.98 | 0.78 | 0.42 |
time (sec) |
N/A | 0.291 | 0.054 | 1.801 | 0.285 | 0.272 | 0.316 | 0.267 | 0.046 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 99 | 112 | 54 | 62 | 79 | 74 | 97 | 79 | 42 |
N.S. |
1 | 1.13 | 0.55 | 0.63 | 0.80 | 0.75 | 0.98 | 0.80 | 0.42 |
time (sec) |
N/A | 0.288 | 0.051 | 1.787 | 0.276 | 0.295 | 0.211 | 0.271 | 0.045 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 92 | 104 | 41 | 56 | 74 | 69 | 90 | 74 | 37 |
N.S. |
1 | 1.13 | 0.45 | 0.61 | 0.80 | 0.75 | 0.98 | 0.80 | 0.40 |
time (sec) |
N/A | 0.278 | 0.046 | 1.799 | 0.274 | 0.333 | 0.176 | 0.266 | 0.039 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 92 | 104 | 39 | 56 | 74 | 69 | 90 | 74 | 37 |
N.S. |
1 | 1.13 | 0.42 | 0.61 | 0.80 | 0.75 | 0.98 | 0.80 | 0.40 |
time (sec) |
N/A | 0.274 | 0.045 | 1.791 | 0.279 | 0.352 | 0.205 | 0.263 | 0.028 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 99 | 112 | 53 | 62 | 79 | 83 | 97 | 79 | 42 |
N.S. |
1 | 1.13 | 0.54 | 0.63 | 0.80 | 0.84 | 0.98 | 0.80 | 0.42 |
time (sec) |
N/A | 0.289 | 0.059 | 1.799 | 0.283 | 0.287 | 0.334 | 0.264 | 0.039 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 101 | 114 | 56 | 62 | 79 | 91 | 99 | 79 | 42 |
N.S. |
1 | 1.13 | 0.55 | 0.61 | 0.78 | 0.90 | 0.98 | 0.78 | 0.42 |
time (sec) |
N/A | 0.284 | 0.064 | 1.815 | 0.304 | 0.262 | 0.457 | 0.274 | 0.040 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 108 | 121 | 62 | 67 | 86 | 98 | 105 | 86 | 48 |
N.S. |
1 | 1.12 | 0.57 | 0.62 | 0.80 | 0.91 | 0.97 | 0.80 | 0.44 |
time (sec) |
N/A | 0.292 | 0.072 | 1.810 | 0.277 | 0.267 | 0.810 | 0.266 | 0.045 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 122 | 133 | 72 | 74 | 91 | 118 | 277 | 91 | 55 |
N.S. |
1 | 1.09 | 0.59 | 0.61 | 0.75 | 0.97 | 2.27 | 0.75 | 0.45 |
time (sec) |
N/A | 0.301 | 0.135 | 1.836 | 0.279 | 0.269 | 1.214 | 0.285 | 0.084 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 113 | 123 | 65 | 69 | 86 | 111 | 264 | 86 | 51 |
N.S. |
1 | 1.09 | 0.58 | 0.61 | 0.76 | 0.98 | 2.34 | 0.76 | 0.45 |
time (sec) |
N/A | 0.293 | 0.133 | 1.846 | 0.294 | 0.262 | 0.889 | 0.266 | 4.802 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 113 | 123 | 63 | 69 | 86 | 107 | 257 | 86 | 51 |
N.S. |
1 | 1.09 | 0.56 | 0.61 | 0.76 | 0.95 | 2.27 | 0.76 | 0.45 |
time (sec) |
N/A | 0.286 | 0.124 | 1.807 | 0.286 | 0.273 | 0.663 | 0.264 | 0.078 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 113 | 123 | 64 | 69 | 86 | 107 | 257 | 86 | 50 |
N.S. |
1 | 1.09 | 0.57 | 0.61 | 0.76 | 0.95 | 2.27 | 0.76 | 0.44 |
time (sec) |
N/A | 0.286 | 0.110 | 1.800 | 0.273 | 0.275 | 0.509 | 0.273 | 0.037 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 113 | 123 | 65 | 69 | 86 | 111 | 264 | 86 | 50 |
N.S. |
1 | 1.09 | 0.58 | 0.61 | 0.76 | 0.98 | 2.34 | 0.76 | 0.44 |
time (sec) |
N/A | 0.302 | 0.114 | 1.817 | 0.276 | 0.260 | 0.622 | 0.272 | 4.781 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 122 | 133 | 72 | 74 | 92 | 126 | 366 | 92 | 55 |
N.S. |
1 | 1.09 | 0.59 | 0.61 | 0.75 | 1.03 | 3.00 | 0.75 | 0.45 |
time (sec) |
N/A | 0.305 | 0.169 | 1.818 | 0.283 | 0.263 | 0.849 | 0.269 | 4.803 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 122 | 135 | 72 | 74 | 92 | 136 | 366 | 91 | 55 |
N.S. |
1 | 1.11 | 0.59 | 0.61 | 0.75 | 1.11 | 3.00 | 0.75 | 0.45 |
time (sec) |
N/A | 0.302 | 0.153 | 1.812 | 0.278 | 0.254 | 1.364 | 0.269 | 0.084 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 131 | 142 | 77 | 79 | 97 | 141 | 384 | 98 | 59 |
N.S. |
1 | 1.08 | 0.59 | 0.60 | 0.74 | 1.08 | 2.93 | 0.75 | 0.45 |
time (sec) |
N/A | 0.310 | 0.157 | 1.808 | 0.282 | 0.264 | 2.765 | 0.269 | 4.774 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 129 | 144 | 72 | 76 | 99 | 143 | 481 | 94 | 62 |
N.S. |
1 | 1.12 | 0.56 | 0.59 | 0.77 | 1.11 | 3.73 | 0.73 | 0.48 |
time (sec) |
N/A | 0.310 | 0.191 | 1.944 | 0.281 | 0.269 | 3.446 | 0.286 | 4.766 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 129 | 144 | 72 | 76 | 99 | 145 | 481 | 94 | 62 |
N.S. |
1 | 1.12 | 0.56 | 0.59 | 0.77 | 1.12 | 3.73 | 0.73 | 0.48 |
time (sec) |
N/A | 0.321 | 0.161 | 2.025 | 0.270 | 0.268 | 2.498 | 0.273 | 0.074 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 129 | 144 | 70 | 74 | 97 | 141 | 481 | 92 | 62 |
N.S. |
1 | 1.12 | 0.54 | 0.57 | 0.75 | 1.09 | 3.73 | 0.71 | 0.48 |
time (sec) |
N/A | 0.314 | 0.152 | 1.811 | 0.274 | 0.280 | 1.734 | 0.291 | 4.800 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 129 | 144 | 72 | 76 | 99 | 145 | 481 | 94 | 61 |
N.S. |
1 | 1.12 | 0.56 | 0.59 | 0.77 | 1.12 | 3.73 | 0.73 | 0.47 |
time (sec) |
N/A | 0.314 | 0.108 | 1.814 | 0.288 | 0.268 | 1.269 | 0.277 | 0.042 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 129 | 144 | 72 | 76 | 99 | 143 | 481 | 94 | 61 |
N.S. |
1 | 1.12 | 0.56 | 0.59 | 0.77 | 1.11 | 3.73 | 0.73 | 0.47 |
time (sec) |
N/A | 0.310 | 0.103 | 1.808 | 0.289 | 0.267 | 1.578 | 0.285 | 4.918 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 138 | 154 | 77 | 81 | 102 | 156 | 653 | 99 | 65 |
N.S. |
1 | 1.12 | 0.56 | 0.59 | 0.74 | 1.13 | 4.73 | 0.72 | 0.47 |
time (sec) |
N/A | 0.320 | 0.199 | 1.794 | 0.281 | 0.284 | 2.257 | 0.283 | 4.824 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 138 | 156 | 77 | 81 | 102 | 166 | 653 | 99 | 65 |
N.S. |
1 | 1.13 | 0.56 | 0.59 | 0.74 | 1.20 | 4.73 | 0.72 | 0.47 |
time (sec) |
N/A | 0.321 | 0.201 | 1.836 | 0.294 | 0.260 | 3.860 | 0.276 | 4.870 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 147 | 163 | 82 | 86 | 107 | 171 | 678 | 106 | 69 |
N.S. |
1 | 1.11 | 0.56 | 0.59 | 0.73 | 1.16 | 4.61 | 0.72 | 0.47 |
time (sec) |
N/A | 0.334 | 0.186 | 1.836 | 0.285 | 0.282 | 7.995 | 0.276 | 0.080 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 15 | 23 | 15 | 24 | 23 | 23 | 26 | 24 | 11 |
N.S. |
1 | 1.53 | 1.00 | 1.60 | 1.53 | 1.53 | 1.73 | 1.60 | 0.73 |
time (sec) |
N/A | 0.144 | 0.019 | 1.809 | 0.265 | 0.256 | 0.103 | 0.273 | 0.036 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | B | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 73 | 110 | 79 | 69 | 68 | 155 | 94 | 68 | 57 |
N.S. |
1 | 1.51 | 1.08 | 0.95 | 0.93 | 2.12 | 1.29 | 0.93 | 0.78 |
time (sec) |
N/A | 0.277 | 0.126 | 6.450 | 0.282 | 0.264 | 0.379 | 0.283 | 4.798 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 97 | 97 | 88 | 431 | 97 | 367 | 1999 | 540 | 389 |
N.S. |
1 | 1.00 | 0.91 | 4.44 | 1.00 | 3.78 | 20.61 | 5.57 | 4.01 |
time (sec) |
N/A | 0.232 | 0.136 | 1.969 | 0.189 | 0.267 | 0.730 | 0.304 | 5.034 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 79 | 79 | 72 | 290 | 79 | 251 | 1221 | 365 | 272 |
N.S. |
1 | 1.00 | 0.91 | 3.67 | 1.00 | 3.18 | 15.46 | 4.62 | 3.44 |
time (sec) |
N/A | 0.215 | 0.057 | 1.896 | 0.183 | 0.269 | 0.550 | 0.290 | 4.796 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 61 | 61 | 56 | 72 | 61 | 157 | 683 | 224 | 167 |
N.S. |
1 | 1.00 | 0.92 | 1.18 | 1.00 | 2.57 | 11.20 | 3.67 | 2.74 |
time (sec) |
N/A | 0.193 | 0.043 | 1.843 | 0.185 | 0.257 | 0.414 | 0.284 | 4.935 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 43 | 43 | 40 | 51 | 43 | 85 | 306 | 117 | 93 |
N.S. |
1 | 1.00 | 0.93 | 1.19 | 1.00 | 1.98 | 7.12 | 2.72 | 2.16 |
time (sec) |
N/A | 0.173 | 0.031 | 1.811 | 0.188 | 0.272 | 0.312 | 0.278 | 4.743 |
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 | 25 | 30 | 25 | 33 | 94 | 43 | 34 |
N.S. |
1 | 1.00 | 1.00 | 1.20 | 1.00 | 1.32 | 3.76 | 1.72 | 1.36 |
time (sec) |
N/A | 0.157 | 0.023 | 0.032 | 0.189 | 0.266 | 0.217 | 0.275 | 4.667 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 39 | 39 | 41 | 0 | 0 | 0 | 88 | 0 | 0 |
N.S. |
1 | 1.00 | 1.05 | 0.00 | 0.00 | 0.00 | 2.26 | 0.00 | 0.00 |
time (sec) |
N/A | 0.151 | 0.031 | 0.000 | 0.000 | 0.000 | 0.640 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 39 | 39 | 41 | 0 | 0 | 0 | 377 | 0 | 0 |
N.S. |
1 | 1.00 | 1.05 | 0.00 | 0.00 | 0.00 | 9.67 | 0.00 | 0.00 |
time (sec) |
N/A | 0.152 | 0.025 | 0.000 | 0.000 | 0.000 | 3.138 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 39 | 39 | 41 | 0 | 0 | 0 | 1574 | 0 | 0 |
N.S. |
1 | 1.00 | 1.05 | 0.00 | 0.00 | 0.00 | 40.36 | 0.00 | 0.00 |
time (sec) |
N/A | 0.155 | 0.026 | 0.000 | 0.000 | 0.000 | 10.670 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 44 | 44 | 45 | 0 | 0 | 0 | 88 | 0 | 0 |
N.S. |
1 | 1.00 | 1.02 | 0.00 | 0.00 | 0.00 | 2.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.156 | 0.036 | 0.000 | 0.000 | 0.000 | 0.642 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 44 | 44 | 42 | 0 | 0 | 0 | 95 | 0 | 0 |
N.S. |
1 | 1.00 | 0.95 | 0.00 | 0.00 | 0.00 | 2.16 | 0.00 | 0.00 |
time (sec) |
N/A | 0.156 | 0.006 | 0.000 | 0.000 | 0.000 | 0.631 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 38 | 38 | 38 | 0 | 0 | 0 | 51 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 1.34 | 0.00 | 0.00 |
time (sec) |
N/A | 0.150 | 0.026 | 0.000 | 0.000 | 0.000 | 0.646 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 47 | 47 | 44 | 0 | 0 | 0 | 99 | 0 | 0 |
N.S. |
1 | 1.00 | 0.94 | 0.00 | 0.00 | 0.00 | 2.11 | 0.00 | 0.00 |
time (sec) |
N/A | 0.155 | 0.029 | 0.000 | 0.000 | 0.000 | 0.689 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 45 | 45 | 44 | 0 | 0 | 0 | 85 | 0 | 0 |
N.S. |
1 | 1.00 | 0.98 | 0.00 | 0.00 | 0.00 | 1.89 | 0.00 | 0.00 |
time (sec) |
N/A | 0.151 | 0.029 | 0.000 | 0.000 | 0.000 | 0.686 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 36 | 36 | 38 | 92 | 0 | 0 | 347 | 0 | 0 |
N.S. |
1 | 1.00 | 1.06 | 2.56 | 0.00 | 0.00 | 9.64 | 0.00 | 0.00 |
time (sec) |
N/A | 0.146 | 0.006 | 2.340 | 0.000 | 0.000 | 3.114 | 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 | 80 | 84 | 61 | 47 | 73 | 57 | 110 | 57 | 55 |
N.S. |
1 | 1.05 | 0.76 | 0.59 | 0.91 | 0.71 | 1.38 | 0.71 | 0.69 |
time (sec) |
N/A | 0.199 | 0.028 | 1.849 | 0.190 | 0.247 | 0.272 | 0.286 | 4.683 |
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 | 59 | 63 | 50 | 36 | 53 | 46 | 87 | 43 | 44 |
N.S. |
1 | 1.07 | 0.85 | 0.61 | 0.90 | 0.78 | 1.47 | 0.73 | 0.75 |
time (sec) |
N/A | 0.182 | 0.023 | 1.832 | 0.201 | 0.250 | 0.207 | 0.291 | 4.621 |
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 | 38 | 42 | 38 | 25 | 33 | 34 | 63 | 29 | 33 |
N.S. |
1 | 1.11 | 1.00 | 0.66 | 0.87 | 0.89 | 1.66 | 0.76 | 0.87 |
time (sec) |
N/A | 0.169 | 0.021 | 1.826 | 0.188 | 0.261 | 0.170 | 0.276 | 4.599 |
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 | 18 | 18 | 18 | 15 | 14 | 14 | 39 | 14 | 14 |
N.S. |
1 | 1.00 | 1.00 | 0.83 | 0.78 | 0.78 | 2.17 | 0.78 | 0.78 |
time (sec) |
N/A | 0.133 | 0.002 | 6.500 | 0.196 | 0.266 | 0.074 | 0.284 | 4.531 |
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 | 37 | 43 | 37 | 30 | 27 | 77 | 56 | 33 | 29 |
N.S. |
1 | 1.16 | 1.00 | 0.81 | 0.73 | 2.08 | 1.51 | 0.89 | 0.78 |
time (sec) |
N/A | 0.163 | 0.024 | 1.828 | 0.185 | 0.266 | 0.829 | 0.288 | 4.797 |
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 | 47 | 47 | 47 | 42 | 51 | 106 | 42 | 46 | 35 |
N.S. |
1 | 1.00 | 1.00 | 0.89 | 1.09 | 2.26 | 0.89 | 0.98 | 0.74 |
time (sec) |
N/A | 0.163 | 0.055 | 6.504 | 0.195 | 0.264 | 1.032 | 0.290 | 4.794 |
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 | 71 | 73 | 62 | 56 | 73 | 131 | 92 | 72 | 54 |
N.S. |
1 | 1.03 | 0.87 | 0.79 | 1.03 | 1.85 | 1.30 | 1.01 | 0.76 |
time (sec) |
N/A | 0.176 | 0.085 | 1.859 | 0.203 | 0.255 | 2.059 | 0.295 | 4.999 |
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 | 95 | 103 | 73 | 71 | 93 | 157 | 117 | 92 | 74 |
N.S. |
1 | 1.08 | 0.77 | 0.75 | 0.98 | 1.65 | 1.23 | 0.97 | 0.78 |
time (sec) |
N/A | 0.192 | 0.100 | 1.849 | 0.207 | 0.266 | 4.834 | 0.285 | 4.971 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 94 | 103 | 82 | 62 | 69 | 146 | 117 | 64 | 0 |
N.S. |
1 | 1.10 | 0.87 | 0.66 | 0.73 | 1.55 | 1.24 | 0.68 | 0.00 |
time (sec) |
N/A | 0.194 | 0.235 | 1.866 | 0.185 | 0.256 | 4.774 | 0.302 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 70 | 73 | 69 | 49 | 49 | 119 | 92 | 50 | 0 |
N.S. |
1 | 1.04 | 0.99 | 0.70 | 0.70 | 1.70 | 1.31 | 0.71 | 0.00 |
time (sec) |
N/A | 0.185 | 0.160 | 1.838 | 0.201 | 0.252 | 1.993 | 0.303 | 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 | 46 | 46 | 48 | 36 | 28 | 94 | 41 | 37 | 35 |
N.S. |
1 | 1.00 | 1.04 | 0.78 | 0.61 | 2.04 | 0.89 | 0.80 | 0.76 |
time (sec) |
N/A | 0.157 | 0.037 | 1.854 | 0.203 | 0.264 | 0.961 | 0.299 | 4.643 |
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 | 42 | 45 | 36 | 28 | 88 | 56 | 57 | 56 |
N.S. |
1 | 1.00 | 1.07 | 0.86 | 0.67 | 2.10 | 1.33 | 1.36 | 1.33 |
time (sec) |
N/A | 0.157 | 0.040 | 1.869 | 0.208 | 0.250 | 0.820 | 0.289 | 4.957 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 21 | 21 | 21 | 18 | 17 | 17 | 42 | 59 | 17 |
N.S. |
1 | 1.00 | 1.00 | 0.86 | 0.81 | 0.81 | 2.00 | 2.81 | 0.81 |
time (sec) |
N/A | 0.138 | 0.042 | 1.836 | 0.213 | 0.252 | 0.417 | 0.306 | 4.736 |
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 | 44 | 44 | 42 | 28 | 36 | 38 | 68 | 112 | 37 |
N.S. |
1 | 1.00 | 0.95 | 0.64 | 0.82 | 0.86 | 1.55 | 2.55 | 0.84 |
time (sec) |
N/A | 0.155 | 0.052 | 6.516 | 0.209 | 0.253 | 0.540 | 0.291 | 4.863 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 68 | 74 | 53 | 39 | 56 | 49 | 359 | 138 | 73 |
N.S. |
1 | 1.09 | 0.78 | 0.57 | 0.82 | 0.72 | 5.28 | 2.03 | 1.07 |
time (sec) |
N/A | 0.175 | 0.059 | 1.867 | 0.191 | 0.252 | 0.710 | 0.295 | 4.911 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 92 | 104 | 64 | 50 | 76 | 60 | 575 | 166 | 93 |
N.S. |
1 | 1.13 | 0.70 | 0.54 | 0.83 | 0.65 | 6.25 | 1.80 | 1.01 |
time (sec) |
N/A | 0.190 | 0.064 | 1.882 | 0.202 | 0.259 | 0.993 | 0.299 | 4.988 |
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 | 84 | 50 | 47 | 73 | 68 | 133 | 57 | 64 |
N.S. |
1 | 1.05 | 0.62 | 0.59 | 0.91 | 0.85 | 1.66 | 0.71 | 0.80 |
time (sec) |
N/A | 0.195 | 0.035 | 1.842 | 0.209 | 0.256 | 0.411 | 0.293 | 4.732 |
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 | 59 | 63 | 39 | 36 | 53 | 57 | 109 | 43 | 53 |
N.S. |
1 | 1.07 | 0.66 | 0.61 | 0.90 | 0.97 | 1.85 | 0.73 | 0.90 |
time (sec) |
N/A | 0.185 | 0.029 | 1.838 | 0.196 | 0.257 | 0.338 | 0.281 | 4.604 |
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 | 38 | 42 | 28 | 25 | 33 | 45 | 85 | 29 | 42 |
N.S. |
1 | 1.11 | 0.74 | 0.66 | 0.87 | 1.18 | 2.24 | 0.76 | 1.11 |
time (sec) |
N/A | 0.172 | 0.026 | 1.815 | 0.197 | 0.252 | 0.256 | 0.296 | 4.692 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 18 | 18 | 18 | 15 | 14 | 32 | 61 | 14 | 14 |
N.S. |
1 | 1.00 | 1.00 | 0.83 | 0.78 | 1.78 | 3.39 | 0.78 | 0.78 |
time (sec) |
N/A | 0.134 | 0.002 | 6.544 | 0.210 | 0.254 | 0.123 | 0.278 | 4.572 |
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 | 61 | 50 | 41 | 40 | 100 | 78 | 48 | 42 |
N.S. |
1 | 1.13 | 0.93 | 0.76 | 0.74 | 1.85 | 1.44 | 0.89 | 0.78 |
time (sec) |
N/A | 0.173 | 0.035 | 1.847 | 0.219 | 0.286 | 1.203 | 0.284 | 4.620 |
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 | 63 | 65 | 57 | 57 | 63 | 119 | 88 | 63 | 47 |
N.S. |
1 | 1.03 | 0.90 | 0.90 | 1.00 | 1.89 | 1.40 | 1.00 | 0.75 |
time (sec) |
N/A | 0.172 | 0.072 | 6.558 | 0.230 | 0.252 | 1.413 | 0.298 | 4.802 |
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 | 68 | 71 | 59 | 57 | 90 | 136 | 71 | 70 | 52 |
N.S. |
1 | 1.04 | 0.87 | 0.84 | 1.32 | 2.00 | 1.04 | 1.03 | 0.76 |
time (sec) |
N/A | 0.172 | 0.096 | 1.865 | 0.227 | 0.259 | 1.644 | 0.291 | 4.942 |
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 | 92 | 97 | 73 | 71 | 110 | 157 | 119 | 92 | 72 |
N.S. |
1 | 1.05 | 0.79 | 0.77 | 1.20 | 1.71 | 1.29 | 1.00 | 0.78 |
time (sec) |
N/A | 0.191 | 0.105 | 1.880 | 0.227 | 0.263 | 3.509 | 0.277 | 5.092 |
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 | 116 | 127 | 84 | 78 | 130 | 179 | 148 | 109 | 89 |
N.S. |
1 | 1.09 | 0.72 | 0.67 | 1.12 | 1.54 | 1.28 | 0.94 | 0.77 |
time (sec) |
N/A | 0.206 | 0.129 | 1.879 | 0.220 | 0.279 | 11.076 | 0.283 | 5.231 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 115 | 127 | 93 | 73 | 87 | 168 | 148 | 76 | 0 |
N.S. |
1 | 1.10 | 0.81 | 0.63 | 0.76 | 1.46 | 1.29 | 0.66 | 0.00 |
time (sec) |
N/A | 0.215 | 0.298 | 1.890 | 0.207 | 0.269 | 11.093 | 0.281 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 91 | 97 | 82 | 62 | 67 | 145 | 119 | 63 | 0 |
N.S. |
1 | 1.07 | 0.90 | 0.68 | 0.74 | 1.59 | 1.31 | 0.69 | 0.00 |
time (sec) |
N/A | 0.193 | 0.246 | 1.864 | 0.195 | 0.277 | 3.483 | 0.287 | 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 | 65 | 68 | 60 | 48 | 43 | 124 | 70 | 49 | 37 |
N.S. |
1 | 1.05 | 0.92 | 0.74 | 0.66 | 1.91 | 1.08 | 0.75 | 0.57 |
time (sec) |
N/A | 0.166 | 0.056 | 1.855 | 0.200 | 0.250 | 1.548 | 0.286 | 4.620 |
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 | 63 | 66 | 65 | 48 | 43 | 112 | 88 | 73 | 40 |
N.S. |
1 | 1.05 | 1.03 | 0.76 | 0.68 | 1.78 | 1.40 | 1.16 | 0.63 |
time (sec) |
N/A | 0.177 | 0.122 | 1.873 | 0.206 | 0.256 | 1.373 | 0.286 | 4.963 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 61 | 63 | 57 | 44 | 66 | 112 | 78 | 114 | 0 |
N.S. |
1 | 1.03 | 0.93 | 0.72 | 1.08 | 1.84 | 1.28 | 1.87 | 0.00 |
time (sec) |
N/A | 0.179 | 0.077 | 1.874 | 0.202 | 0.254 | 1.274 | 0.281 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 21 | 21 | 21 | 18 | 17 | 35 | 68 | 86 | 17 |
N.S. |
1 | 1.00 | 1.00 | 0.86 | 0.81 | 1.67 | 3.24 | 4.10 | 0.81 |
time (sec) |
N/A | 0.142 | 0.056 | 1.842 | 0.204 | 0.281 | 0.511 | 0.291 | 4.919 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 44 | 44 | 31 | 28 | 36 | 49 | 94 | 166 | 71 |
N.S. |
1 | 1.00 | 0.70 | 0.64 | 0.82 | 1.11 | 2.14 | 3.77 | 1.61 |
time (sec) |
N/A | 0.159 | 0.067 | 1.862 | 0.217 | 0.273 | 0.629 | 0.304 | 4.990 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 68 | 74 | 42 | 39 | 56 | 60 | 420 | 192 | 91 |
N.S. |
1 | 1.09 | 0.62 | 0.57 | 0.82 | 0.88 | 6.18 | 2.82 | 1.34 |
time (sec) |
N/A | 0.178 | 0.079 | 1.869 | 0.196 | 0.259 | 0.894 | 0.294 | 5.151 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 92 | 104 | 53 | 50 | 76 | 71 | 648 | 220 | 111 |
N.S. |
1 | 1.13 | 0.58 | 0.54 | 0.83 | 0.77 | 7.04 | 2.39 | 1.21 |
time (sec) |
N/A | 0.196 | 0.087 | 1.893 | 0.211 | 0.268 | 1.136 | 0.308 | 5.399 |
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 | 80 | 84 | 50 | 47 | 73 | 79 | 158 | 57 | 75 |
N.S. |
1 | 1.05 | 0.62 | 0.59 | 0.91 | 0.99 | 1.98 | 0.71 | 0.94 |
time (sec) |
N/A | 0.203 | 0.033 | 1.872 | 0.242 | 0.249 | 0.606 | 0.282 | 4.679 |
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 | 59 | 63 | 39 | 36 | 53 | 68 | 133 | 43 | 64 |
N.S. |
1 | 1.07 | 0.66 | 0.61 | 0.90 | 1.15 | 2.25 | 0.73 | 1.08 |
time (sec) |
N/A | 0.185 | 0.031 | 1.830 | 0.219 | 0.246 | 0.492 | 0.283 | 4.636 |
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 | 38 | 42 | 28 | 25 | 33 | 56 | 109 | 29 | 53 |
N.S. |
1 | 1.11 | 0.74 | 0.66 | 0.87 | 1.47 | 2.87 | 0.76 | 1.39 |
time (sec) |
N/A | 0.172 | 0.029 | 1.825 | 0.230 | 0.253 | 0.396 | 0.290 | 4.658 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 18 | 18 | 18 | 15 | 14 | 43 | 85 | 14 | 14 |
N.S. |
1 | 1.00 | 1.00 | 0.83 | 0.78 | 2.39 | 4.72 | 0.78 | 0.78 |
time (sec) |
N/A | 0.136 | 0.003 | 1.842 | 0.210 | 0.258 | 0.222 | 0.287 | 4.491 |
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 | 79 | 62 | 53 | 54 | 126 | 105 | 62 | 59 |
N.S. |
1 | 1.10 | 0.86 | 0.74 | 0.75 | 1.75 | 1.46 | 0.86 | 0.82 |
time (sec) |
N/A | 0.184 | 0.041 | 6.500 | 0.213 | 0.245 | 2.306 | 0.278 | 4.723 |
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 | 83 | 68 | 68 | 76 | 142 | 112 | 82 | 66 |
N.S. |
1 | 1.04 | 0.85 | 0.85 | 0.95 | 1.78 | 1.40 | 1.02 | 0.82 |
time (sec) |
N/A | 0.183 | 0.071 | 1.892 | 0.209 | 0.271 | 2.147 | 0.288 | 4.765 |
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 | 86 | 89 | 70 | 71 | 104 | 145 | 117 | 88 | 71 |
N.S. |
1 | 1.03 | 0.81 | 0.83 | 1.21 | 1.69 | 1.36 | 1.02 | 0.83 |
time (sec) |
N/A | 0.190 | 0.092 | 1.888 | 0.195 | 0.256 | 2.383 | 0.278 | 4.828 |
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 | 89 | 95 | 70 | 68 | 127 | 158 | 99 | 87 | 72 |
N.S. |
1 | 1.07 | 0.79 | 0.76 | 1.43 | 1.78 | 1.11 | 0.98 | 0.81 |
time (sec) |
N/A | 0.181 | 0.121 | 1.891 | 0.212 | 0.316 | 2.698 | 0.278 | 5.070 |
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 | 113 | 121 | 84 | 78 | 147 | 179 | 150 | 109 | 89 |
N.S. |
1 | 1.07 | 0.74 | 0.69 | 1.30 | 1.58 | 1.33 | 0.96 | 0.79 |
time (sec) |
N/A | 0.203 | 0.127 | 1.949 | 0.212 | 0.252 | 7.087 | 0.289 | 5.341 |
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 | 137 | 151 | 95 | 88 | 167 | 201 | 175 | 126 | 106 |
N.S. |
1 | 1.10 | 0.69 | 0.64 | 1.22 | 1.47 | 1.28 | 0.92 | 0.77 |
time (sec) |
N/A | 0.219 | 0.150 | 1.989 | 0.210 | 0.262 | 29.561 | 0.307 | 5.734 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 136 | 151 | 104 | 84 | 105 | 190 | 175 | 91 | 0 |
N.S. |
1 | 1.11 | 0.76 | 0.62 | 0.77 | 1.40 | 1.29 | 0.67 | 0.00 |
time (sec) |
N/A | 0.234 | 0.406 | 1.979 | 0.192 | 0.280 | 29.319 | 0.328 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 112 | 121 | 93 | 73 | 85 | 167 | 150 | 77 | 0 |
N.S. |
1 | 1.08 | 0.83 | 0.65 | 0.76 | 1.49 | 1.34 | 0.69 | 0.00 |
time (sec) |
N/A | 0.215 | 0.323 | 1.888 | 0.198 | 0.265 | 6.893 | 0.307 | 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 | 84 | 90 | 71 | 59 | 58 | 146 | 97 | 63 | 37 |
N.S. |
1 | 1.07 | 0.85 | 0.70 | 0.69 | 1.74 | 1.15 | 0.75 | 0.44 |
time (sec) |
N/A | 0.175 | 0.082 | 1.886 | 0.199 | 0.254 | 2.581 | 0.308 | 4.569 |
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 | 83 | 88 | 73 | 61 | 59 | 140 | 117 | 87 | 40 |
N.S. |
1 | 1.06 | 0.88 | 0.73 | 0.71 | 1.69 | 1.41 | 1.05 | 0.48 |
time (sec) |
N/A | 0.180 | 0.089 | 1.902 | 0.200 | 0.259 | 2.381 | 0.307 | 5.239 |