2.3 Detailed conclusion table specific for Rubi results

The following table is specific to Rubi only. It gives additional statistics for each integral. the column steps is the number of steps used by Rubi to obtain the antiderivative. The rules column is the number of unique rules used. The integrand size column is the leaf size of the integrand. Finally the ratio \(\frac {\text {number of rules}}{\text {integrand size}}\) is also given. The larger this ratio is, the harder the integral is to solve. In this test file, problem number [198] had the largest ratio of [1.37500000000000000]

# grade
number of
steps
used
number of
unique
rules
normalized
antiderivative
leaf size
integrand
leaf size
\(\frac {\text {number of rules}}{\text {integrand leaf size}}\)
1 A 3 3 1.00 21 0.143
2 A 3 3 1.00 21 0.143
3 A 10 9 1.00 13 0.692
4 A 4 4 1.00 13 0.308
5 A 7 7 0.89 13 0.538
6 A 4 4 1.00 11 0.364
7 A 2 2 1.00 8 0.250
8 A 5 5 1.00 11 0.455
9 A 10 9 1.04 13 0.692
10 A 12 11 1.02 13 0.846
11 A 12 11 0.98 13 0.846
12 A 6 6 1.09 13 0.462
13 A 12 12 1.09 13 0.923
14 A 7 7 1.11 13 0.538
15 A 4 4 0.97 11 0.364
16 A 4 4 0.97 8 0.500
17 A 7 7 1.00 11 0.636
18 A 12 11 1.18 13 0.846
19 A 13 12 1.09 13 0.923
20 A 15 14 1.29 13 1.077
21 A 15 14 1.13 13 1.077
22 A 8 8 1.16 13 0.615
23 A 15 15 1.07 13 1.154
24 A 11 11 1.17 13 0.846
25 A 7 7 1.04 13 0.538
26 A 6 6 1.08 11 0.545
27 A 6 6 1.08 8 0.750
28 A 9 9 1.16 11 0.818
29 A 15 14 1.15 13 1.077
30 A 15 14 1.16 13 1.077
31 A 16 15 1.13 13 1.154
32 A 11 11 1.13 23 0.478
33 A 9 9 1.13 23 0.391
34 A 7 7 1.13 23 0.304
35 A 4 4 1.00 21 0.190
36 A 2 2 1.00 14 0.143
37 A 4 3 1.00 21 0.143
38 A 6 5 1.00 23 0.217
39 A 8 7 1.01 23 0.304
40 A 10 9 1.04 23 0.391
41 A 4 3 1.00 22 0.136
42 A 4 3 1.00 23 0.130
43 A 4 3 1.00 24 0.125
44 A 13 13 1.12 23 0.565
45 A 9 9 1.13 23 0.391
46 A 6 6 1.06 21 0.286
47 A 4 4 1.00 14 0.286
48 A 8 7 1.00 21 0.333
49 A 7 6 1.00 23 0.261
50 A 9 8 1.00 23 0.348
51 A 11 10 1.02 23 0.435
52 A 14 14 1.12 23 0.609
53 A 11 11 1.13 23 0.478
54 A 8 8 1.08 21 0.381
55 A 6 6 1.04 14 0.429
56 A 9 8 1.03 21 0.381
57 A 9 8 1.06 23 0.348
58 A 9 8 1.02 23 0.348
59 A 11 10 1.04 23 0.435
60 A 13 12 1.05 23 0.522
61 A 14 13 1.11 23 0.565
62 A 9 8 1.07 23 0.348
63 A 6 5 1.00 21 0.238
64 A 4 3 1.00 14 0.214
65 A 8 7 1.00 21 0.333
66 A 10 9 1.08 23 0.391
67 A 13 12 1.10 23 0.522
68 A 17 16 1.09 23 0.696
69 A 14 13 1.06 23 0.565
70 A 9 8 1.04 23 0.348
71 A 6 5 1.00 21 0.238
72 A 6 5 1.00 14 0.357
73 A 11 10 1.05 21 0.476
74 A 14 13 1.06 23 0.565
75 A 17 16 1.08 23 0.696
76 A 20 19 1.12 23 0.826
77 A 17 16 1.09 23 0.696
78 A 14 13 1.07 23 0.565
79 A 9 8 1.06 23 0.348
80 A 8 7 1.05 21 0.333
81 A 8 7 1.05 14 0.500
82 A 14 13 1.08 21 0.619
83 A 17 16 1.09 23 0.696
84 A 20 19 1.08 23 0.826
85 A 4 3 1.00 25 0.120
86 A 4 3 1.00 28 0.107
87 A 4 3 1.00 15 0.200
88 A 4 3 1.00 17 0.176
89 A 4 3 1.00 17 0.176
90 A 4 3 1.00 18 0.167
91 A 10 10 1.05 23 0.435
92 A 14 14 1.12 23 0.609
93 A 9 9 1.08 23 0.391
94 A 6 6 1.00 21 0.286
95 A 4 4 1.00 14 0.286
96 A 7 6 1.00 21 0.286
97 A 7 6 1.00 23 0.261
98 A 14 14 1.11 23 0.609
99 A 9 9 1.09 23 0.391
100 A 6 6 1.00 21 0.286
101 A 4 4 1.00 14 0.286
102 A 7 6 1.00 21 0.286
103 A 7 6 1.00 23 0.261
104 A 14 14 1.11 23 0.609
105 A 9 9 1.06 23 0.391
106 A 6 6 1.00 21 0.286
107 A 4 4 1.00 14 0.286
108 A 7 6 1.00 21 0.286
109 A 7 6 1.00 23 0.261
110 A 14 14 1.08 23 0.609
111 A 9 9 1.02 23 0.391
112 A 6 6 1.00 21 0.286
113 A 4 4 1.00 14 0.286
114 A 7 6 1.00 21 0.286
115 A 7 6 1.00 23 0.261
116 A 8 7 1.00 21 0.333
117 A 4 3 1.00 21 0.143
118 A 5 4 1.00 21 0.190
119 A 5 4 1.00 21 0.190
120 A 8 7 1.00 23 0.304
121 A 4 3 1.00 23 0.130
122 A 7 6 1.00 23 0.261
123 A 7 6 1.00 23 0.261
124 A 8 7 1.00 23 0.304
125 A 4 3 1.00 23 0.130
126 A 7 6 1.00 23 0.261
127 A 7 6 1.00 23 0.261
128 A 9 8 1.00 25 0.320
129 A 5 4 1.00 25 0.160
130 A 9 8 1.00 25 0.320
131 A 9 8 1.00 25 0.320
132 A 4 3 1.00 19 0.158
133 A 4 3 1.00 23 0.130
134 A 6 5 1.00 21 0.238
135 A 6 5 1.00 23 0.217
136 A 6 5 1.00 21 0.238
137 A 6 5 1.00 24 0.208
138 A 8 7 1.00 23 0.304
139 A 8 7 1.00 24 0.292
140 A 14 14 0.97 21 0.667
141 A 12 12 0.99 21 0.571
142 A 8 8 1.01 21 0.381
143 A 6 6 1.00 19 0.316
144 A 4 4 1.00 12 0.333
145 A 7 6 1.00 19 0.316
146 A 7 6 1.00 21 0.286
147 A 2 2 1.00 10 0.200
148 A 2 2 1.00 12 0.167
149 A 10 9 1.03 19 0.474
150 A 8 7 0.96 19 0.368
151 A 2 2 1.00 17 0.118
152 A 1 1 1.00 10 0.100
153 A 4 4 1.00 17 0.235
154 A 7 6 1.00 19 0.316
155 A 9 8 1.02 19 0.421
156 A 9 8 0.97 19 0.421
157 A 11 10 1.00 21 0.476
158 A 10 9 0.90 21 0.429
159 A 5 5 1.08 19 0.263
160 A 2 2 1.00 12 0.167
161 A 6 6 1.00 19 0.316
162 A 6 6 1.00 21 0.286
163 A 9 8 1.00 21 0.381
164 A 11 10 1.06 21 0.476
165 A 11 10 0.91 21 0.476
166 A 14 13 1.00 21 0.619
167 A 8 8 1.18 21 0.381
168 A 7 7 1.07 19 0.368
169 A 4 4 1.03 12 0.333
170 A 8 8 1.00 19 0.421
171 A 9 9 1.03 21 0.429
172 A 8 8 1.03 21 0.381
173 A 11 10 1.06 21 0.476
174 A 14 13 0.97 21 0.619
175 A 6 6 1.06 12 0.500
176 A 15 14 1.21 13 1.077
177 A 11 10 1.21 13 0.769
178 A 11 10 1.15 13 0.769
179 A 7 6 1.12 11 0.545
180 A 5 4 1.15 8 0.500
181 A 8 7 1.11 11 0.636
182 A 12 11 1.18 13 0.846
183 A 14 13 1.23 13 1.000
184 A 17 16 1.21 13 1.231
185 A 14 13 1.11 13 1.000
186 A 11 10 1.20 13 0.769
187 A 9 8 1.36 13 0.615
188 A 8 7 1.09 11 0.636
189 A 9 8 1.09 8 1.000
190 A 10 9 1.33 11 0.818
191 A 13 12 1.21 13 0.923
192 A 16 15 1.11 13 1.154
193 A 17 16 1.13 13 1.231
194 A 14 13 1.23 13 1.000
195 A 11 10 1.36 13 0.769
196 A 11 10 1.19 13 0.769
197 A 10 9 1.18 11 0.818
198 A 12 11 1.21 8 1.375
199 A 12 11 1.34 11 1.000
200 A 15 14 1.23 13 1.077
201 A 18 17 1.14 13 1.308
202 A 14 13 1.20 12 1.083
203 A 12 12 1.01 21 0.571
204 A 4 4 1.00 14 0.286
205 A 9 9 1.00 21 0.429
206 A 18 18 1.07 23 0.783
207 A 9 9 1.00 21 0.429
208 A 4 4 1.00 14 0.286
209 A 4 4 1.00 21 0.190
210 A 18 18 1.05 23 0.783
211 A 12 12 1.04 25 0.480
212 A 2 2 1.00 25 0.080
213 A 8 8 0.98 23 0.348
214 A 7 7 0.98 23 0.304
215 A 4 4 1.00 21 0.190
216 A 6 5 1.00 23 0.217
217 A 3 3 1.00 23 0.130
218 A 3 3 1.00 23 0.130
219 A 5 5 1.00 36 0.139
220 A 5 5 1.00 23 0.217
221 N/A 2 0 1.00 21 0.000
222 A 12 11 0.99 21 0.524
223 A 9 8 1.00 21 0.381
224 A 7 6 1.00 19 0.316
225 A 5 4 1.00 12 0.333
226 N/A 2 0 1.00 19 0.000
227 A 11 11 1.02 24 0.458
228 A 9 9 1.00 24 0.375
229 A 7 7 0.90 24 0.292
230 A 2 2 1.00 22 0.091
231 A 4 4 1.00 24 0.167
232 A 4 4 1.00 24 0.167
233 A 6 6 1.05 24 0.250
234 A 8 8 1.08 24 0.333
235 A 10 10 1.07 24 0.417
236 A 13 13 0.97 26 0.500
237 A 11 11 0.96 26 0.423
238 A 9 9 0.91 26 0.346
239 A 7 7 0.91 26 0.269
240 A 7 7 0.90 24 0.292
241 A 7 7 1.09 26 0.269
242 A 7 7 1.10 26 0.269
243 A 4 4 1.00 26 0.154
244 A 6 6 1.00 26 0.231
245 A 8 8 1.05 26 0.308
246 A 10 10 1.05 26 0.385
247 A 15 15 0.97 26 0.577
248 A 13 13 0.96 26 0.500
249 A 11 11 0.92 26 0.423
250 A 9 9 0.92 26 0.346
251 A 9 9 0.91 26 0.346
252 A 9 9 1.00 24 0.375
253 A 9 9 1.09 26 0.346
254 A 9 9 1.10 26 0.346
255 A 9 9 1.09 26 0.346
256 A 4 4 1.00 26 0.154
257 A 6 6 0.97 26 0.231
258 A 8 8 1.02 26 0.308
259 A 10 10 1.05 26 0.385
260 A 12 12 1.05 26 0.462
261 A 11 11 1.04 26 0.423
262 A 9 9 1.08 26 0.346
263 A 7 7 1.07 26 0.269
264 A 4 4 1.00 24 0.167
265 A 6 5 1.00 26 0.192
266 A 8 7 0.94 26 0.269
267 A 10 9 0.99 26 0.346
268 A 12 11 1.00 26 0.423
269 A 13 13 1.07 26 0.500
270 A 11 11 1.01 26 0.423
271 A 9 9 1.09 26 0.346
272 A 7 7 1.10 26 0.269
273 A 4 4 1.00 24 0.167
274 A 8 7 0.94 26 0.269
275 A 6 5 0.84 26 0.192
276 A 8 7 0.88 26 0.269
277 A 10 9 0.93 26 0.346
278 A 12 11 0.97 26 0.423
279 A 13 13 1.09 26 0.500
280 A 11 11 1.10 26 0.423
281 A 9 9 1.10 26 0.346
282 A 4 4 1.00 26 0.154
283 A 6 6 1.05 24 0.250
284 A 10 9 0.99 26 0.346
285 A 8 7 0.88 26 0.269
286 A 6 5 0.75 26 0.192
287 A 8 7 0.81 26 0.269
288 A 10 9 0.88 26 0.346
289 A 12 11 0.90 26 0.423
290 A 10 10 1.04 26 0.385
291 A 8 8 1.02 26 0.308
292 A 6 6 0.99 26 0.231
293 A 4 4 1.00 26 0.154
294 A 8 7 1.05 26 0.269
295 A 8 7 1.05 26 0.269
296 A 10 9 1.07 26 0.346
297 A 12 11 1.08 26 0.423
298 A 10 10 1.01 28 0.357
299 A 8 8 1.00 28 0.286
300 A 6 6 0.99 28 0.214
301 A 4 4 1.00 28 0.143
302 A 10 9 1.19 28 0.321
303 A 10 9 1.15 28 0.321
304 A 10 9 1.11 28 0.321
305 A 12 11 1.17 28 0.393
306 A 14 13 1.15 28 0.464
307 A 10 10 1.10 28 0.357
308 A 8 8 1.09 28 0.286
309 A 6 6 1.11 28 0.214
310 A 4 4 1.09 28 0.143
311 A 12 11 1.19 28 0.393
312 A 12 11 1.18 28 0.393
313 A 12 11 1.13 28 0.393
314 A 12 11 1.16 28 0.393
315 A 14 13 1.18 28 0.464
316 A 16 15 1.17 28 0.536
317 A 10 10 1.12 28 0.357
318 A 8 8 1.11 28 0.286
319 A 6 6 1.10 28 0.214
320 A 4 4 1.04 28 0.143
321 A 8 7 0.99 28 0.250
322 A 10 9 1.07 28 0.321
323 A 12 11 1.07 28 0.393
324 A 12 12 1.09 28 0.429
325 A 10 10 1.08 28 0.357
326 A 8 8 1.08 28 0.286
327 A 6 6 1.09 28 0.214
328 A 4 4 1.09 28 0.143
329 A 10 9 1.02 28 0.321
330 A 12 11 1.08 28 0.393
331 A 14 13 1.07 28 0.464
332 A 12 12 1.09 28 0.429
333 A 10 10 1.08 28 0.357
334 A 8 8 1.08 28 0.286
335 A 6 6 1.07 28 0.214
336 A 4 4 1.09 28 0.143
337 A 12 11 1.03 28 0.393
338 A 14 13 1.08 28 0.464
339 A 16 15 1.08 28 0.536
340 A 2 2 1.02 30 0.067
341 A 2 2 1.08 30 0.067
342 A 2 2 1.02 30 0.067
343 A 2 2 1.02 30 0.067
344 A 6 5 1.04 30 0.167
345 A 2 2 1.00 30 0.067
346 A 2 2 1.02 30 0.067
347 A 2 2 1.10 30 0.067
348 A 4 4 1.05 30 0.133
349 A 4 4 1.05 30 0.133
350 A 4 4 1.10 30 0.133
351 A 2 2 1.00 30 0.067
352 A 8 7 1.05 30 0.233
353 A 8 7 1.03 30 0.233
354 A 2 2 1.00 30 0.067
355 A 4 4 1.00 30 0.133
356 A 4 4 1.05 30 0.133
357 A 4 4 1.05 30 0.133
358 A 6 6 1.09 30 0.200
359 A 6 6 1.09 30 0.200
360 A 4 4 1.00 30 0.133
361 A 2 2 1.00 30 0.067
362 A 10 9 1.07 30 0.300
363 A 10 9 1.04 30 0.300
364 A 10 9 1.06 30 0.300
365 A 2 2 1.00 30 0.067
366 A 4 4 1.00 30 0.133
367 A 6 6 1.04 30 0.200
368 A 6 6 1.08 30 0.200
369 A 8 8 1.11 30 0.267
370 A 8 8 1.11 30 0.267
371 A 6 6 1.03 30 0.200
372 A 4 4 1.00 30 0.133
373 A 2 2 1.00 30 0.067
374 A 12 11 1.11 30 0.367
375 A 12 11 1.04 30 0.367
376 A 12 11 1.06 30 0.367
377 A 12 11 1.09 30 0.367
378 A 2 2 1.00 30 0.067
379 A 4 4 1.00 30 0.133
380 A 6 6 1.04 30 0.200
381 A 8 8 1.06 30 0.267
382 A 8 8 1.10 30 0.267
383 A 10 9 1.02 30 0.300
384 A 8 7 1.02 30 0.233
385 A 6 5 1.04 30 0.167
386 A 4 4 1.00 30 0.133
387 A 6 6 1.00 30 0.200
388 A 8 8 1.04 30 0.267
389 A 12 11 1.04 30 0.367
390 A 10 9 1.01 30 0.300
391 A 8 7 1.03 30 0.233
392 A 2 2 1.00 30 0.067
393 A 6 6 1.03 30 0.200
394 A 8 8 1.04 30 0.267
395 A 10 10 1.07 30 0.333
396 A 14 13 1.03 30 0.433
397 A 12 11 1.04 30 0.367
398 A 10 9 1.04 30 0.300
399 A 2 2 1.00 30 0.067
400 A 2 2 1.00 30 0.067
401 A 8 8 1.08 30 0.267
402 A 10 10 1.07 30 0.333
403 A 12 12 1.08 30 0.400
404 A 7 6 1.38 26 0.231
405 A 7 6 1.04 26 0.231
406 A 7 6 1.04 26 0.231
407 A 7 6 1.06 24 0.250
408 A 7 6 1.00 26 0.231
409 A 7 6 1.04 26 0.231
410 A 7 6 1.04 26 0.231
411 A 6 6 0.99 28 0.214
412 A 4 4 1.02 28 0.143
413 A 2 2 1.00 28 0.071
414 A 6 5 1.07 28 0.179
415 A 6 5 1.07 28 0.179
416 A 6 5 1.07 28 0.179
417 A 6 5 1.07 28 0.179
418 A 6 5 1.09 28 0.179
419 A 6 6 0.99 30 0.200
420 A 4 4 1.02 30 0.133
421 A 2 2 1.00 30 0.067
422 A 7 6 1.34 28 0.214
423 A 7 6 1.34 30 0.200
424 A 7 6 1.33 30 0.200
425 A 8 8 1.09 23 0.348
426 A 6 6 1.08 23 0.261
427 A 4 4 1.12 23 0.174
428 A 2 2 1.07 21 0.095
429 A 1 1 1.07 10 0.100
430 A 7 6 1.11 23 0.261
431 A 9 8 1.10 23 0.348
432 A 12 11 1.12 23 0.478
433 A 14 13 1.15 23 0.565
434 A 11 11 1.11 25 0.440
435 A 9 9 1.13 25 0.360
436 A 6 6 0.97 25 0.240
437 A 4 4 1.00 23 0.174
438 A 2 2 1.25 12 0.167
439 A 9 8 1.24 25 0.320
440 A 10 9 1.22 25 0.360
441 A 11 10 1.16 25 0.400
442 A 14 13 1.12 25 0.520
443 A 17 16 1.10 25 0.640
444 A 14 14 1.78 25 0.560
445 A 7 7 1.09 25 0.280
446 A 5 5 1.09 23 0.217
447 A 3 3 1.29 12 0.250
448 A 13 12 1.20 25 0.480
449 A 13 12 1.19 25 0.480
450 A 13 12 1.31 25 0.480
451 A 14 13 1.29 25 0.520
452 A 17 16 1.23 25 0.640
453 A 7 7 1.05 25 0.280
454 A 5 5 1.03 25 0.200
455 A 6 6 1.07 25 0.240
456 A 4 4 1.00 23 0.174
457 A 2 2 1.00 12 0.167
458 A 8 7 1.08 25 0.280
459 A 12 11 1.05 25 0.440
460 A 14 13 1.12 25 0.520
461 A 10 10 1.11 25 0.400
462 A 7 7 1.10 25 0.280
463 A 11 11 1.11 25 0.440
464 A 7 7 1.09 25 0.280
465 A 4 4 1.05 23 0.174
466 A 4 4 1.06 12 0.333
467 A 11 10 1.13 25 0.400
468 A 14 13 1.09 25 0.520
469 A 17 16 1.13 25 0.640
470 A 12 12 1.12 25 0.480
471 A 9 9 1.11 25 0.360
472 A 13 13 1.12 25 0.520
473 A 12 12 1.13 25 0.480
474 A 7 7 1.08 25 0.280
475 A 6 6 1.04 23 0.261
476 A 6 6 1.14 12 0.500
477 A 14 13 1.21 25 0.520
478 A 17 16 1.14 25 0.640
479 A 20 19 1.16 25 0.760
480 A 8 8 0.95 13 0.615
481 A 8 8 0.95 15 0.533
482 A 18 18 1.06 25 0.720
483 A 15 15 1.04 25 0.600
484 A 12 12 1.06 25 0.480
485 A 9 9 1.01 25 0.360
486 A 12 12 1.15 25 0.480
487 A 15 15 1.12 25 0.600
488 A 18 18 1.07 25 0.720
489 A 20 20 1.08 27 0.741
490 A 17 17 1.08 27 0.630
491 A 14 14 1.08 27 0.519
492 A 11 11 1.11 27 0.407
493 A 12 12 1.09 27 0.444
494 A 15 15 1.16 27 0.556
495 A 18 18 1.10 27 0.667
496 A 25 25 1.09 27 0.926
497 A 22 22 1.09 27 0.815
498 A 19 19 1.10 27 0.704
499 A 16 16 1.10 27 0.593
500 A 16 16 1.12 27 0.593
501 A 16 16 1.17 27 0.593
502 A 19 19 1.21 27 0.704
503 A 22 22 1.18 27 0.815
504 A 15 15 1.08 27 0.556
505 A 12 12 1.07 27 0.444
506 A 11 11 1.08 27 0.407
507 A 12 12 1.10 27 0.444
508 A 15 15 1.08 27 0.556
509 A 18 18 1.09 27 0.667
510 A 14 14 1.05 27 0.519
511 A 15 15 1.14 27 0.556
512 A 14 14 1.09 27 0.519
513 A 15 15 1.07 27 0.556
514 A 18 18 1.10 27 0.667
515 A 21 21 1.11 27 0.778
516 A 17 17 1.15 27 0.630
517 A 18 18 1.13 27 0.667
518 A 18 18 1.11 27 0.667
519 A 18 18 1.12 27 0.667
520 A 21 21 1.13 27 0.778
521 A 24 24 1.13 27 0.889
522 A 9 9 1.10 27 0.333
523 A 7 7 1.14 27 0.259
524 A 4 4 1.05 25 0.160
525 A 2 2 1.04 14 0.143
526 A 4 3 1.00 27 0.111
527 A 6 5 1.01 27 0.185
528 A 8 7 1.05 27 0.259
529 A 13 13 1.05 27 0.481
530 A 9 9 1.05 27 0.333
531 A 6 6 1.02 25 0.240
532 A 4 4 1.16 14 0.286
533 A 8 7 1.03 27 0.259
534 A 8 7 1.02 27 0.259
535 A 10 9 1.03 27 0.333
536 A 14 14 0.97 27 0.519
537 A 11 11 0.99 27 0.407
538 A 8 8 1.02 25 0.320
539 A 6 6 1.13 14 0.429
540 A 9 8 1.12 27 0.296
541 A 9 8 1.09 27 0.296
542 A 9 8 1.08 27 0.296
543 A 14 13 1.14 27 0.481
544 A 9 8 1.14 27 0.296
545 A 6 5 1.08 25 0.200
546 A 4 3 1.15 14 0.214
547 A 8 7 1.05 27 0.259
548 A 10 9 1.17 27 0.333
549 A 13 12 1.19 27 0.444
550 A 14 13 1.13 27 0.481
551 A 9 8 1.10 27 0.296
552 A 6 5 1.10 25 0.200
553 A 6 5 1.12 14 0.357
554 A 11 10 1.12 27 0.370
555 A 14 13 1.15 27 0.481
556 A 17 16 1.19 27 0.593
557 A 14 13 1.13 27 0.481
558 A 9 8 1.12 27 0.296
559 A 8 7 1.08 25 0.280
560 A 8 7 1.17 14 0.500
561 A 14 13 1.17 27 0.481
562 A 17 16 1.19 27 0.593
563 A 20 19 1.19 27 0.704
564 A 10 9 1.04 29 0.310
565 A 8 7 1.01 29 0.241
566 A 6 5 1.01 29 0.172
567 A 4 3 1.00 29 0.103
568 A 2 2 1.02 29 0.069
569 A 4 4 1.07 29 0.138
570 A 6 6 1.09 29 0.207
571 A 14 13 0.97 29 0.448
572 A 12 11 1.00 29 0.379
573 A 10 9 1.01 29 0.310
574 A 8 7 1.02 29 0.241
575 A 8 7 1.03 29 0.241
576 A 6 6 1.10 29 0.207
577 A 8 8 1.05 29 0.276
578 A 10 10 1.05 29 0.345
579 A 15 14 0.93 29 0.483
580 A 13 12 0.97 29 0.414
581 A 11 10 1.03 29 0.345
582 A 9 8 1.06 29 0.276
583 A 9 8 1.09 29 0.276
584 A 9 8 1.14 29 0.276
585 A 7 7 1.13 29 0.241
586 A 9 9 1.06 29 0.310
587 A 11 11 1.05 29 0.379
588 A 14 13 1.08 29 0.448
589 A 11 10 1.08 29 0.345
590 A 8 7 1.04 29 0.241
591 A 4 3 1.08 29 0.103
592 A 7 6 1.16 29 0.207
593 A 9 8 1.22 29 0.276
594 A 13 12 1.07 29 0.414
595 A 11 10 1.06 29 0.345
596 A 7 6 1.07 29 0.207
597 A 7 6 1.06 29 0.207
598 A 10 9 1.18 29 0.310
599 A 13 12 1.22 29 0.414
600 A 14 13 1.08 29 0.448
601 A 10 9 1.10 29 0.310
602 A 10 9 1.09 29 0.310
603 A 10 9 1.13 29 0.310
604 A 13 12 1.21 29 0.414
605 A 16 15 1.22 29 0.517
606 A 7 6 1.11 25 0.240
607 A 12 12 1.00 25 0.480
608 A 8 8 1.02 25 0.320
609 A 6 6 1.00 23 0.261
610 A 4 4 1.00 12 0.333
611 A 6 5 1.14 25 0.200
612 A 6 5 1.14 25 0.200
613 A 6 5 1.14 25 0.200
614 A 7 6 1.10 27 0.222
615 A 7 6 1.10 27 0.222
616 A 7 6 1.11 27 0.222
617 A 7 6 1.11 27 0.222
618 A 7 6 1.10 27 0.222
619 A 7 6 1.10 27 0.222
620 A 4 3 1.79 27 0.111
621 A 4 3 1.91 27 0.111
622 A 3 3 1.00 27 0.111
623 A 4 3 1.00 27 0.111
624 A 4 3 1.00 25 0.120
625 A 3 3 1.00 18 0.167
626 A 4 3 1.00 27 0.111
627 A 4 3 1.00 27 0.111
628 A 2 2 1.00 27 0.074
629 A 4 3 1.36 27 0.111
630 A 4 3 1.42 27 0.111
631 A 4 3 1.46 29 0.103
632 A 4 3 1.46 29 0.103
633 A 3 3 1.70 29 0.103
634 A 4 3 1.46 29 0.103
635 A 4 3 1.49 27 0.111
636 A 5 5 1.00 20 0.250
637 A 4 3 1.69 29 0.103
638 A 4 3 1.55 29 0.103
639 A 2 2 1.00 29 0.069
640 A 4 3 1.02 29 0.103
641 A 4 3 1.02 29 0.103
642 A 4 3 1.62 29 0.103
643 A 4 3 1.55 29 0.103
644 A 2 2 1.00 29 0.069
645 A 4 3 1.02 29 0.103
646 A 4 3 1.02 27 0.111
647 A 5 5 1.00 20 0.250
648 A 4 3 1.02 29 0.103
649 A 4 3 1.02 29 0.103
650 A 3 3 1.00 29 0.103
651 A 4 3 1.02 29 0.103
652 A 4 3 1.02 29 0.103
653 A 8 7 1.00 27 0.259
654 A 4 3 1.01 29 0.103
655 A 5 4 1.03 25 0.160
656 A 5 4 1.03 25 0.160
657 A 5 4 1.01 23 0.174
658 A 5 4 1.00 12 0.333
659 A 5 4 1.01 25 0.160
660 A 5 4 1.03 25 0.160
661 A 5 4 1.03 25 0.160
662 A 10 9 1.03 27 0.333
663 A 9 8 1.03 27 0.296
664 A 5 4 1.01 27 0.148
665 A 6 5 1.32 27 0.185
666 A 6 5 1.29 27 0.185
667 A 6 5 1.35 27 0.185
668 A 5 4 1.01 25 0.160
669 A 5 4 1.01 25 0.160
670 A 5 4 1.01 25 0.160
671 A 6 6 1.08 23 0.261
672 A 4 4 1.05 23 0.174
673 A 2 2 1.02 21 0.095
674 A 1 1 1.00 10 0.100
675 A 7 6 1.11 23 0.261
676 A 9 8 1.07 23 0.348
677 A 11 10 1.14 23 0.435
678 A 8 8 1.09 25 0.320
679 A 6 6 1.10 25 0.240
680 A 4 4 1.11 23 0.174
681 A 2 2 1.11 12 0.167
682 A 9 8 1.14 25 0.320
683 A 9 8 1.26 25 0.320
684 A 10 9 1.15 25 0.360
685 A 12 11 1.15 25 0.440
686 A 12 12 1.36 25 0.480
687 A 8 8 1.12 25 0.320
688 A 6 6 1.18 23 0.261
689 A 4 4 1.16 12 0.333
690 A 11 10 1.13 25 0.400
691 A 11 10 1.16 25 0.400
692 A 12 11 1.25 25 0.440
693 A 13 12 1.18 25 0.480
694 A 7 6 1.37 20 0.300
695 A 2 2 1.00 20 0.100
696 A 3 3 1.00 15 0.200
697 A 4 4 1.06 13 0.308
698 A 14 13 1.18 25 0.520
699 A 11 10 1.17 25 0.400
700 A 9 8 1.20 25 0.320
701 A 7 6 1.18 23 0.261
702 A 5 4 1.23 12 0.333
703 A 7 6 1.16 25 0.240
704 A 10 9 1.29 25 0.360
705 A 13 12 1.31 25 0.480
706 A 13 12 1.18 25 0.480
707 A 11 10 1.25 25 0.400
708 A 10 9 1.36 25 0.360
709 A 9 8 1.14 23 0.348
710 A 9 8 1.17 12 0.667
711 A 10 9 1.33 25 0.360
712 A 12 11 1.31 25 0.440
713 A 14 13 1.26 25 0.520
714 A 16 15 1.18 25 0.600
715 A 14 13 1.25 25 0.520
716 A 11 10 1.37 25 0.400
717 A 12 11 1.21 25 0.440
718 A 12 11 1.26 23 0.478
719 A 12 11 1.29 12 0.917
720 A 12 11 1.37 25 0.440
721 A 14 13 1.30 25 0.520
722 A 17 16 1.25 25 0.640
723 A 18 18 1.05 25 0.720
724 A 15 15 1.04 25 0.600
725 A 12 12 1.01 25 0.480
726 A 9 9 1.01 25 0.360
727 A 12 12 1.07 25 0.480
728 A 15 15 1.05 25 0.600
729 A 18 18 1.09 25 0.720
730 A 21 21 1.07 27 0.778
731 A 18 18 1.07 27 0.667
732 A 15 15 1.05 27 0.556
733 A 12 12 1.05 27 0.444
734 A 12 12 1.09 27 0.444
735 A 15 15 1.06 27 0.556
736 F 0 0 N/A 0.000 N/A
737 A 24 24 1.08 27 0.889
738 A 21 21 1.09 27 0.778
739 A 18 18 1.08 27 0.667
740 A 15 15 1.08 27 0.556
741 A 15 15 1.07 27 0.556
742 A 15 15 1.08 27 0.556
743 A 18 18 1.10 27 0.667
744 A 21 21 1.11 27 0.778
745 A 17 17 1.08 27 0.630
746 A 14 14 1.02 27 0.519
747 A 9 9 1.01 27 0.333
748 A 4 4 1.00 27 0.148
749 A 13 13 1.02 27 0.481
750 A 21 21 1.10 27 0.778
751 A 21 21 1.06 27 0.778
752 A 17 17 1.07 27 0.630
753 A 17 17 1.05 27 0.630
754 A 18 18 1.01 27 0.667
755 A 18 18 1.04 27 0.667
756 A 21 21 1.08 27 0.778
757 A 23 23 1.08 27 0.852
758 A 24 24 1.10 27 0.889
759 A 22 22 1.10 27 0.815
760 F 0 0 N/A 0.000 N/A
761 A 20 20 1.14 27 0.741
762 A 21 21 1.06 27 0.778
763 A 21 21 1.09 27 0.778
764 A 24 24 1.11 27 0.889
765 A 19 19 1.05 29 0.655
766 A 18 18 1.10 29 0.621
767 A 12 12 1.10 29 0.414
768 A 2 2 1.01 29 0.069
769 A 5 5 1.01 29 0.172
770 A 8 8 1.04 29 0.276
771 A 22 22 1.07 29 0.759
772 A 16 16 1.04 29 0.552
773 A 15 15 1.03 29 0.517
774 A 11 11 1.03 29 0.379
775 A 8 8 1.06 29 0.276
776 A 8 8 1.04 29 0.276
777 A 23 23 1.07 29 0.793
778 A 21 21 1.07 29 0.724
779 A 18 18 1.05 29 0.621
780 A 14 14 1.04 29 0.483
781 A 14 14 1.07 29 0.483
782 A 12 12 1.09 29 0.414
783 A 13 13 1.04 29 0.448
784 A 12 12 1.03 29 0.414
785 A 2 2 1.01 29 0.069
786 A 2 2 1.02 29 0.069
787 A 5 5 1.02 29 0.172
788 A 9 9 1.06 29 0.310
789 A 14 14 1.05 29 0.483
790 A 8 8 1.06 29 0.276
791 A 5 5 1.01 29 0.172
792 A 5 5 1.02 29 0.172
793 A 8 8 1.09 29 0.276
794 A 11 11 1.10 29 0.379
795 F 0 0 N/A 0.000 N/A
796 A 8 8 1.05 29 0.276
797 A 8 8 1.05 29 0.276
798 A 8 8 1.08 29 0.276
799 A 11 11 1.10 29 0.379
800 A 14 14 1.10 29 0.483
801 N/A 2 0 1.00 25 0.000
802 A 9 8 1.00 25 0.320
803 A 7 6 1.00 23 0.261
804 A 5 4 1.00 12 0.333
805 N/A 2 0 1.00 25 0.000
806 N/A 2 0 1.00 25 0.000
807 N/A 2 0 1.00 25 0.000
808 N/A 2 0 1.00 27 0.000
809 N/A 2 0 1.00 27 0.000
810 N/A 2 0 1.00 27 0.000
811 N/A 2 0 1.00 27 0.000
812 N/A 2 0 1.00 27 0.000
813 N/A 2 0 1.00 27 0.000
814 A 14 14 1.04 23 0.609
815 A 13 13 1.02 23 0.565
816 A 8 8 0.99 21 0.381
817 A 10 10 1.06 23 0.435
818 A 13 13 1.03 23 0.565
819 A 10 9 1.00 27 0.333
820 A 12 12 1.06 27 0.444
821 A 8 8 1.09 27 0.296
822 A 6 6 1.12 25 0.240
823 A 8 8 1.18 27 0.296
824 A 11 11 1.09 27 0.407
825 A 16 16 1.03 23 0.696
826 A 13 13 0.98 23 0.565
827 A 8 8 0.99 21 0.381
828 A 10 9 1.11 23 0.391
829 A 7 7 1.05 23 0.304
830 A 7 7 1.02 23 0.304
831 N/A 4 0 1.00 27 0.000
832 A 10 10 1.04 27 0.370
833 A 9 9 1.06 27 0.333
834 A 6 6 1.12 25 0.240
835 A 8 7 1.18 27 0.259
836 A 5 5 1.13 27 0.185
837 A 5 5 1.11 27 0.185