Details

Time bar (total: 4.5min)

sample30.0ms

Algorithm
intervals
Results
13.0ms330×body80valid

simplify4.2s

Counts
1 → 1
Iterations

Useful iterations: 7 (318.0ms)

IterNodesCost
01213
12213
24513
39713
418613
530213
645713
767611
8119011
9323711
done500011

prune8.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 0.0b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (- 0.75 (/ (- z x) y)) 4.0) 1.0)
0.0b
(- 0.75 (/ (- z x) y))
0.0b
(/ (- z x) y)

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
23×*-un-lft-identity
16×times-frac
13×add-cube-cbrt
add-log-exp
difference-of-squares
add-exp-log add-cbrt-cube associate-/l* distribute-lft-out--
pow1 associate-/r*
flip3-- div-sub flip-- associate-/l/
cbrt-undiv +-commutative sub-neg frac-2neg flip3-+ diff-log div-exp clear-num sum-log flip-+ div-inv associate--r-
Counts
3 → 65
Calls
3 calls:
13.0ms
(+ (* (- 0.75 (/ (- z x) y)) 4.0) 1.0)
10.0ms
(- 0.75 (/ (- z x) y))
7.0ms
(/ (- z x) y)

series27.0ms

Counts
3 → 9
Calls
3 calls:
13.0ms
(+ (* (- 0.75 (/ (- z x) y)) 4.0) 1.0)
6.0ms
(- 0.75 (/ (- z x) y))
8.0ms
(/ (- z x) y)

simplify45.5s

Counts
74 → 74
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
077
1117
2137
done137
066
1146
2196
3226
done226
066
1116
2176
3216
4246
5306
6346
7506
8546
9616
10706
11906
121116
131296
141366
151426
161456
done1456
0917
12017
2689
32037
45627
520307
done50007
0713
11213
21513
31713
done1713
066
1116
2146
3166
done166
0717
11917
2507
31767
45717
517207
done50017
066
1116
2146
3166
done166
066
1116
2146
3166
done166
044
164
2104
3124
4133
done133
022
done22
033
done33
033
done33
0915
11715
22715
33315
done3315
077
197
2107
done107
0812
11212
21512
31612
done1612
077
197
2107
done107
0711
1139
2209
3259
done259
066
186
296
done96
0810
11210
21310
done1310
077
197
2107
done107
077
197
2107
done107
077
197
2107
done107
066
1104
2134
done134
066
186
296
done96
057
197
done97
066
1116
2146
3166
done166
044
164
done64
066
1116
2146
3166
done166
023
141
done41
055
1105
2135
3155
done155
0911
11211
done1211
088
1138
2168
3188
done188
088
198
done98
088
1138
2168
3188
done188
077
1105
2125
done125
077
1127
2157
3177
done177
057
197
done97
066
1116
2146
3166
done166
044
164
done64
066
1116
2146
3166
done166
023
141
done41
055
1105
2135
3155
done155
033
153
done53
055
175
285
done85
079
1149
2229
3279
4309
done309
066
1116
2146
3166
done166
055
1123
2173
done173
066
186
296
done96
066
186
296
done96
055
175
285
done85
077
197
2107
done107
055
175
285
done85
0913
12311
25211
37811
48711
58911
done8911
055
1135
2145
done145
099
1168
2268
3458
4778
51178
61878
73288
84068
94188
done4188
088
1158
2238
3358
4528
5568
6648
7798
81078
91208
101228
done1228
088
1188
2318
3528
4888
51398
62378
73758
84388
94488
done4488
0917
11617
22417
33617
45317
55717
66517
78017
810817
912117
1012317
done12317
088
1158
2238
3358
4528
5568
6648
7798
81078
91208
101228
done1228
0923
11723
2399
31269
45639
530899
done50019
088
1158
2238
3358
4528
5568
6648
7798
81078
91208
101228
done1228
088
1158
2238
3358
4528
5568
6648
7798
81078
91208
101228
done1228
01011
13311
27811
324911
496411
5369311
done500011
01123
12917
26417
315617
444117
5127917
6349317
done500117
066
1136
2196
3266
4305
5315
done315
0915
12315
25115
316115
452215
5151115
6483115
done500015
077
1137
2207
3307
4407
5497
6547
7637
8807
91037
101167
111187
121227
131257
done1257
099
1159
2189
3209
done209
099
1169
2209
3229
done229
01010
11310
21410
done1410
01010
11410
21810
done1810
077
1147
2227
3347
4517
5557
6637
7787
81067
91197
101217
done1217
055
175
2105
done105
066
1136
2196
3266
4305
5315
done315
01313
12612
25212
310812
425512
554612
6134012
7396912
done500012
01212
12112
23512
36612
413512
521712
635212
747412
870112
988612
1094412
1194512
done94512
01212
12412
24312
39312
421712
545012
6107812
7319812
done500012
01325
12225
23625
36725
413625
521725
635225
747425
870125
988625
1094425
1194525
done94525
01212
12112
23512
36612
413512
521712
635212
747412
870112
988612
1094412
1194512
done94512
01335
13535
29713
336913
4197213
done500013
01212
12112
23512
36612
413512
521712
635212
747412
870112
988612
1094412
1194512
done94512
01212
12112
23512
36612
413512
521712
635212
747412
870112
988612
1094412
1194512
done94512
01415
13915
29115
330715
4139215
done500015
01535
14033
210233
335125
4141225
done500025
01323
13323
27723
325523
4105923
5447123
done500023
01111
12111
23611
36911
414511
523911
642211
760211
888711
9101711
10102211
done102211
067
187
2117
done117
067
187
2117
done117
067
187
2117
done117
089
1139
2229
3289
4349
5459
6609
7809
8969
91049
101219
111259
done1259
089
1139
2229
3289
4349
5459
6609
7809
8969
91049
101219
111259
done1259
089
1139
2229
3289
4349
5459
6609
7809
8969
91049
101219
111259
done1259
01013
12113
24513
38211
41269
51809
62569
73689
84199
95199
106729
118429
1214719
1318879
1420849
1522179
done22179
01013
12113
24513
38211
41269
51809
62569
73689
84199
95199
106729
118429
1214719
1318879
1420849
1522179
done22179
01013
12113
24513
38211
41269
51809
62569
73689
84199
95199
106729
118429
1214719
1318879
1420849
1522179
done22179

prune93.0ms

Filtered
55 candidates to 74 candidates (-34.5%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New72274
Fresh000
Picked101
Done000
Total73275

Merged error: 0b

Counts
75 → 2

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 0.75 (- (/ z y) (/ x y)))
0.0b
(+ (* (- 0.75 (- (/ z y) (/ x y))) 4.0) 1.0)
0.0b
(- (/ z y) (/ x y))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
18×*-un-lft-identity
12×add-log-exp
10×times-frac
distribute-lft-out--
add-cube-cbrt difference-of-squares
diff-log
pow1 add-exp-log sub-neg add-cbrt-cube
flip3-- flip-- div-inv associate--r+
+-commutative distribute-rgt-out-- flip3-+ sum-log frac-sub flip-+ sub-div associate--r-
Counts
3 → 53
Calls
3 calls:
18.0ms
(- 0.75 (- (/ z y) (/ x y)))
25.0ms
(+ (* (- 0.75 (- (/ z y) (/ x y))) 4.0) 1.0)
15.0ms
(- (/ z y) (/ x y))

series22.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(- 0.75 (- (/ z y) (/ x y)))
9.0ms
(+ (* (- 0.75 (- (/ z y) (/ x y))) 4.0) 1.0)
7.0ms
(- (/ z y) (/ x y))

simplify53.4s

Counts
62 → 62
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
089
1108
2128
3178
4208
5268
6308
7468
8508
9578
10668
11868
121078
131218
141268
151288
done1288
078
198
2128
done128
078
1128
2178
3208
4268
5308
6468
7508
8578
9668
10868
111078
121218
131268
141288
done1288
0817
11017
21317
done1317
078
198
2128
done128
0823
11123
2289
3879
42929
59869
632399
done50019
078
198
2128
done128
078
198
2128
done128
033
153
263
done63
067
1107
2195
3235
4245
done245
023
done23
0911
12911
28411
324011
477411
5260211
done500011
01023
12919
25719
38519
411417
513717
616017
717717
818717
918817
done18817
044
164
done64
0815
12115
24215
38215
414915
524715
634815
757913
8208313
done500013
067
177
done77
089
199
done99
089
1109
2119
done119
0910
11010
done1010
0910
11110
21410
done1410
0910
11010
done1010
0910
11110
21210
done1210
0911
11011
done1011
0911
11111
21411
done1411
079
199
2129
done129
079
199
2129
done129
067
187
2117
done117
067
187
2117
done117
033
153
263
done63
044
164
done64
01415
12614
26314
313814
430114
562314
6154914
done500114
01314
12114
24314
38614
414314
522414
631214
747914
868714
983514
1087314
1188014
1290212
done90212
01314
12414
25114
311914
425314
552714
6132014
7446614
done500014
01429
12229
24429
38729
414429
522529
631229
747929
868929
983729
1087529
1188229
1290425
done90425
01314
12114
24314
38614
414314
522414
631214
747914
868714
983514
1087314
1188014
1290212
done90212
01441
13541
210515
343715
4261315
done500015
01314
12114
24314
38614
414314
522414
631214
747914
868714
983514
1087314
1188014
1290212
done90212
01314
12114
24314
38614
414314
522414
631214
747914
868714
983514
1087314
1188014
1290212
done90212
01517
13917
29917
335417
4176617
done500017
01641
14039
212239
350229
4203829
done500029
01427
13327
29727
339127
4161227
done500027
01213
12113
24413
39113
415613
526113
638613
762013
884113
990813
1092313
1193013
1295211
done95211
01112
11511
22410
34010
46710
510810
615510
729610
841710
945010
done45010
01011
11710
22910
35110
48910
512810
624610
736710
840910
941010
done41010
0910
11510
22510
34210
44810
55610
67110
79910
811010
done11010
0910
11810
23710
36610
410710
518110
632310
739910
840710
done40710
01021
11621
22621
34321
44921
55721
67221
710021
811121
done11121
0910
11510
22510
34210
44810
55610
67110
79910
811010
done11010
01029
11729
25311
321511
4105311
done500011
0910
11510
22510
34210
44810
55610
67110
79910
811010
done11010
0910
11510
22510
34210
44810
55610
67110
79910
811010
done11010
01113
12813
26513
317913
461313
5217513
done500013
01229
12121
24821
313421
442921
5138921
6386321
done500021
078
198
2158
3218
4247
done247
01019
11719
23919
312119
445819
5150219
done500019
089
1139
2229
3319
4379
5479
6549
7669
8869
91079
101179
done1179
01011
11311
21611
done1611
01011
11411
21811
done1811
089
1149
2249
3419
4479
5559
6709
7989
81099
done1099
089
1149
2249
3419
4479
5559
6709
7989
81099
done1099
055
175
2105
done105
055
175
2105
done105
055
175
2105
done105
078
198
2158
3218
4247
done247
067
187
2117
done117
067
187
2117
done117
067
187
2117
done117
01013
12113
24711
38211
41199
51529
62029
72789
83659
94299
105459
118119
1214499
1318869
1420809
1522179
done22179
01013
12113
24711
38211
41199
51529
62029
72789
83659
94299
105459
118119
1214499
1318869
1420809
1522179
done22179
01013
12113
24711
38211
41199
51529
62029
72789
83659
94299
105459
118119
1214499
1318869
1420809
1522179
done22179
089
1139
2229
3289
4349
5439
6589
7739
8889
91029
101179
111239
done1239
089
1139
2229
3289
4349
5439
6589
7739
8889
91029
101179
111239
done1239
089
1139
2229
3289
4349
5439
6589
7739
8889
91029
101179
111239
done1239

prune75.0ms

Filtered
45 candidates to 62 candidates (-37.8%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New62062
Fresh011
Picked011
Done000
Total62264

Merged error: 0b

Counts
64 → 2

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- z x) y)
0.0b
(/ (- z x) y)
0.1b
(* (* (- 0.75 (/ (- z x) y)) 4.0) (* (- 0.75 (/ (- z x) y)) 4.0))
17.8b
(/ (- (* (* (- 0.75 (/ (- z x) y)) 4.0) (* (- 0.75 (/ (- z x) y)) 4.0)) (* 1.0 1.0)) (- (* (- 0.75 (/ (- z x) y)) 4.0) 1.0))

rewrite99.0ms

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt *-un-lft-identity
43×pow1
42×times-frac
33×add-cube-cbrt
22×add-exp-log add-cbrt-cube
17×pow-prod-down
14×associate-*l/ associate-/l*
12×difference-of-squares
10×flip3-- flip--
associate-/r*
prod-exp cbrt-unprod distribute-lft-out--
associate-/l/
frac-times pow-sqr pow-prod-up add-log-exp
cbrt-undiv frac-2neg div-sub div-exp clear-num div-inv
pow-plus associate-*r/ associate-/r/
pow2 swap-sqr associate-*r* associate-*l* *-commutative
Counts
4 → 154
Calls
4 calls:
7.0ms
(/ (- z x) y)
7.0ms
(/ (- z x) y)
27.0ms
(* (* (- 0.75 (/ (- z x) y)) 4.0) (* (- 0.75 (/ (- z x) y)) 4.0))
51.0ms
(/ (- (* (* (- 0.75 (/ (- z x) y)) 4.0) (* (- 0.75 (/ (- z x) y)) 4.0)) (* 1.0 1.0)) (- (* (- 0.75 (/ (- z x) y)) 4.0) 1.0))

series90.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(/ (- z x) y)
8.0ms
(/ (- z x) y)
29.0ms
(* (* (- 0.75 (/ (- z x) y)) 4.0) (* (- 0.75 (/ (- z x) y)) 4.0))
46.0ms
(/ (- (* (* (- 0.75 (/ (- z x) y)) 4.0) (* (- 0.75 (/ (- z x) y)) 4.0)) (* 1.0 1.0)) (- (* (- 0.75 (/ (- z x) y)) 4.0) 1.0))

simplify2.8min

Counts
166 → 166
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01737
14037
29237
330237
4126514
done500214
01636
14336
211036
338014
4157712
done500112
01636
14036
210636
336914
4157012
done500212
019107
149107
217639
3101515
done500115
01773
14173
210473
336529
4154825
done500225
01636
14036
210336
336414
4154912
done500112
017107
148107
214537
373215
done500215
01636
14036
210336
336414
4154912
done500112
01636
14036
210336
336414
4154912
done500112
01424
13424
28524
330124
4136623
done500023
01212
12212
24012
38412
420411
543511
691011
7110611
8126711
done126711
01331
13231
28831
332523
4121723
5460523
done500023
01315
12515
24515
38715
417615
534015
670615
7120015
8193415
9248615
10267715
11267915
done267915
01975
14675
210475
331375
4126875
done500075
01737
13837
28737
329137
4124537
done500037
01862
14162
29262
329762
4125062
done500162
01737
13837
28737
329137
4124537
done500037
01751
14149
29149
327449
4107849
5448449
done500049
01636
13736
28636
329036
4124836
done500036
01850
14150
29050
329450
4124750
done500050
01737
13837
28737
329137
4124537
done500037
01737
13837
28737
329137
4124537
done500037
01737
13837
28737
329137
4124537
done500037
01626
13824
28424
326224
4106624
5448024
done500024
01636
13736
28636
329036
4124836
done500036
01527
12927
24427
37727
415327
524727
643027
761027
889227
9100927
10101427
done101427
01636
14036
210336
334736
4145336
done500036
01414
12614
24114
37414
415014
524414
642714
760714
889114
9101414
10101914
done101914
01636
14036
210336
334736
4145336
done500036
023
141
done41
01535
13935
210235
336313
4154711
done500011
01537
12837
24337
38037
416537
528337
657337
7100337
8199837
9338737
10454537
11493137
12495637
done495637
01324
12624
24724
38924
420724
542724
685024
7135524
8205924
9257424
10273424
11273524
done273524
01424
12524
24024
37724
416224
527624
653924
784324
8146124
9208224
10254324
11275224
12278524
done278524
01324
12624
24724
38924
420724
542724
685024
7135524
8205924
9257424
10273424
11273524
done273524
01313
12411
24011
37111
414011
522511
638211
759111
8103511
9153611
10178911
11185011
done185011
01223
1261
2471
3931
42171
54411
69931
730371
done50001
01313
12513
24013
37313
414913
524313
642613
760613
888813
9100813
10101313
done101313
01535
13935
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done500013
01749
14349
212949
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4182249
done500049
01636
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334736
4145336
done500036
01525
14023
210023
332823
4133023
done500123
01636
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330636
4130136
done500036
01636
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4130136
done500036
01535
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4147113
done500013
01223
1261
2471
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54411
69931
730371
done50001
01839
15739
216139
361339
4344639
done500139
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1381
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419181
done50011
01983
16479
224761
3132551
done500051
01535
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4258335
done500035
023
161
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023
161
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023
161
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023
161
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161
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023
161
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01223
12613
25113
36613
48313
58813
69613
711113
813913
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done15413
01422
12621
24821
38512
415212
521712
629012
736112
848012
956712
1061412
1164712
1267312
1367512
done67512
01422
12621
24821
38512
415212
521712
629112
736212
848112
956812
1061512
1164812
1267612
1367812
done67812
01121
12412
25012
38612
414912
521412
628912
736012
847912
956612
1061312
1164612
1267012
1367212
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01120
12820
27812
325712
490812
5327412
done500112
01120
12820
27820
328320
4110920
5420120
done500020
01459
13559
214527
374913
done500013
01759
14559
218123
3104911
done500211
01759
14559
218323
3103911
done500111
01259
13659
215723
388411
done500011
01241
12741
26441
321941
486841
5323141
done500041
01120
12620
26320
321820
486720
5322420
done500020
01259
13559
214121
382511
done500111
01120
12710
26410
321910
486910
5322910
done500010
01120
12710
26410
321910
486910
5322910
done500010
01327
14427
211827
352727
4376827
done500027
01247
13635
211635
349235
4244135
done500035
01731
15431
216031
368331
4429331
done500131
01331
13825
212125
339325
4152625
done500025
01731
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370631
done500131
01331
13825
211725
334625
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done500025
01235
13435
210635
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4346135
done500035
0815
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24415
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5150715
6496115
done500015
0815
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22915
38015
426715
591715
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023
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033
161
done61
033
161
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033
161
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033
161
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01017
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311817
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done500117
01011
11911
23611
38311
417711
532411
651911
773611
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9130911
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11144911
done144911
01523
14723
212923
353823
4325823
done500023
01427
13627
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349027
4261927
done500027
01523
14723
212923
351223
4276423
done500023
01427
13627
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347927
4252827
done500127
077
1117
2137
done137
066
1146
2196
3226
done226
066
1116
2176
3216
4246
5306
6346
7506
8546
9616
10706
11906
121116
131296
141366
151426
161456
done1456
0917
12017
2689
32037
45627
520307
done50007
0713
11213
21513
31713
done1713
066
1116
2146
3166
done166
0717
11917
2507
31767
45717
517207
done50017
066
1116
2146
3166
done166
066
1116
2146
3166
done166
044
164
2104
3124
4133
done133
022
done22
033
done33
033
done33
0915
11715
22715
33315
done3315
077
197
2107
done107
0812
11212
21512
31612
done1612
077
197
2107
done107
0711
1139
2209
3259
done259
066
186
296
done96
0810
11210
21310
done1310
077
197
2107
done107
077
197
2107
done107
077
197
2107
done107
066
1104
2134
done134
066
186
296
done96
057
197
done97
066
1116
2146
3166
done166
044
164
done64
066
1116
2146
3166
done166
023
141
done41
055
1105
2135
3155
done155
0911
11211
done1211
088
1138
2168
3188
done188
088
198
done98
088
1138
2168
3188
done188
077
1105
2125
done125
077
1127
2157
3177
done177
057
197
done97
066
1116
2146
3166
done166
044
164
done64
066
1116
2146
3166
done166
023
141
done41
055
1105
2135
3155
done155
033
153
done53
055
175
285
done85
079
1149
2229
3279
4309
done309
066
1116
2146
3166
done166
055
1123
2173
done173
066
186
296
done96
066
186
296
done96
055
175
285
done85
077
197
2107
done107
055
175
285
done85
0913
12311
25211
37811
48711
58911
done8911
055
1135
2145
done145
077
1117
2137
done137
066
1146
2196
3226
done226
066
1116
2176
3216
4246
5306
6346
7506
8546
9616
10706
11906
121116
131296
141366
151426
161456
done1456
0917
12017
2689
32037
45627
520307
done50007
0713
11213
21513
31713
done1713
066
1116
2146
3166
done166
0717
11917
2507
31767
45717
517207
done50017
066
1116
2146
3166
done166
066
1116
2146
3166
done166
044
164
2104
3124
4133
done133
022
done22
033
done33
033
done33
0915
11715
22715
33315
done3315
077
197
2107
done107
0812
11212
21512
31612
done1612
077
197
2107
done107
0711
1139
2209
3259
done259
066
186
296
done96
0810
11210
21310
done1310
077
197
2107
done107
077
197
2107
done107
077
197
2107
done107
066
1104
2134
done134
066
186
296
done96
057
197
done97
066
1116
2146
3166
done166
044
164
done64
066
1116
2146
3166
done166
023
141
done41
055
1105
2135
3155
done155
0911
11211
done1211
088
1138
2168
3188
done188
088
198
done98
088
1138
2168
3188
done188
077
1105
2125
done125
077
1127
2157
3177
done177
057
197
done97
066
1116
2146
3166
done166
044
164
done64
066
1116
2146
3166
done166
023
141
done41
055
1105
2135
3155
done155
033
153
done53
055
175
285
done85
079
1149
2229
3279
4309
done309
066
1116
2146
3166
done166
055
1123
2173
done173
066
186
296
done96
066
186
296
done96
055
175
285
done85
077
197
2107
done107
055
175
285
done85
0913
12311
25211
37811
48711
58911
done8911
055
1135
2145
done145
01013
12113
24513
38211
41269
51809
62569
73689
84199
95199
106729
118429
1214719
1318879
1420849
1522179
done22179
01013
12113
24513
38211
41269
51809
62569
73689
84199
95199
106729
118429
1214719
1318879
1420849
1522179
done22179
01013
12113
24513
38211
41269
51809
62569
73689
84199
95199
106729
118429
1214719
1318879
1420849
1522179
done22179
01829
14827
216927
338025
479223
5126023
6177023
7277423
8408323
done500123
01113
12213
24313
36811
4959
51399
62109
73019
83359
93999
104779
114789
done4789
01113
12213
24313
36811
4959
51399
62109
73019
83359
93999
104779
114789
done4789
067
187
2117
done117
067
187
2117
done117
067
187
2117
done117
067
187
2117
done117
067
187
2117
done117
067
187
2117
done117

prune266.0ms

Filtered
116 candidates to 166 candidates (-43.1%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1660166
Fresh000
Picked011
Done011
Total1662168

Merged error: 0b

Counts
168 → 2

regimes122.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01213
11413
done1413

end0.0ms

sample844.0ms

Algorithm
intervals
Results
416.0ms10179×body80valid

Profiling

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