Details

Time bar (total: 15.2min)

sample32.0ms

Algorithm
intervals
Results
13.0ms309×body80valid
1.0msbody1280valid
1.0msbody640valid
0.0msbody320valid
0.0msbody160valid

simplify5.7s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01213
12113
24713
312413
428413
563913
6117913
7207813
8343413
done500113

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.3b

Counts
2 → 1

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ 2.0 3.0) z)
0.0b
(* (- y x) 6.0)
0.0b
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
0.3b
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
13×*-un-lft-identity
11×pow1 add-exp-log add-cbrt-cube
10×associate-*l/
associate-*r*
flip3-- flip-- add-log-exp
add-cube-cbrt
associate-*l*
sub-neg difference-of-squares
distribute-rgt-in frac-times associate-+r+ distribute-lft-in pow-prod-down prod-exp cbrt-unprod
distribute-lft-out--
times-frac associate-*r/ *-commutative
+-commutative flip3-+ diff-log sum-log flip-+ unswap-sqr
Counts
4 → 85
Calls
4 calls:
12.0ms
(- (/ 2.0 3.0) z)
7.0ms
(* (- y x) 6.0)
5.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
16.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series33.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(- (/ 2.0 3.0) z)
5.0ms
(* (- y x) 6.0)
15.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
10.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify4.0min

Counts
97 → 97
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01111
11911
24511
311811
425711
553411
690811
7143111
8210211
9358211
10404211
11405811
done405811
01111
11911
24511
311811
425711
553411
690811
7143111
8210211
9358211
10404211
11405811
done405811
01414
12214
23014
33214
done3214
01313
12213
23513
34413
44813
done4813
01212
12312
25612
314112
428212
555912
691612
7143712
8210812
9360612
10408512
11412112
done412112
01212
12212
25912
317512
443112
5106612
6275912
done500012
01735
13435
213117
366717
4435915
done500115
01535
13635
214715
378615
4476013
done500013
01325
12125
24725
312025
425925
553425
690325
7142425
8209625
9358025
10404125
11405725
done405725
01212
12012
24612
311912
426212
553312
689212
7141112
8207812
9356812
10402912
11404412
done404412
01335
13135
213913
386613
done500213
01212
12012
24612
311912
426212
553312
689212
7141112
8207812
9356812
10402912
11404412
done404412
01212
12012
24612
311912
426212
553312
689212
7141112
8207812
9356812
10402912
11404412
done404412
01619
15019
213319
345919
4241719
done500119
01729
14425
213625
360123
4214423
done500023
01621
14421
210921
337121
4182921
done500021
01317
12815
28315
325115
458015
5119915
6140615
7147815
8151815
9152315
done152315
01619
14319
212019
345119
4275119
done500019
01321
13419
210019
328917
467817
5144917
6202217
7226917
8236817
9238517
10241117
11244917
12247117
done247117
01521
13321
28921
336521
4197221
done500021
099
1189
2479
3839
41219
51369
61429
71449
done1449
099
1179
2389
3899
41669
52819
63939
74619
84669
done4669
088
1168
2378
3888
41728
52697
63397
73737
84297
95487
105527
done5527
099
1179
2389
3899
41669
52819
63939
74619
84669
done4669
088
1168
2378
3888
41728
52697
63397
73737
84297
95487
105527
done5527
099
1179
2449
31149
41879
52709
63969
74649
84719
done4719
088
1168
2438
31178
41998
52617
62847
73187
83787
95017
105057
done5057
099
1179
2449
31149
41879
52709
63969
74649
84719
done4719
088
1168
2438
31178
41998
52617
62847
73187
83787
95017
105057
done5057
01319
12319
24419
38719
414319
519319
623419
723919
done23919
01212
12012
23412
36112
48212
510112
610912
done10912
077
1155
2345
3575
4825
51025
61205
71245
done1245
01313
12613
26013
313913
423413
537213
652013
770013
8126213
9213113
10242013
11243113
done243113
01414
12714
26514
316614
431414
552514
677814
7105214
8176514
9328914
10390514
11394814
done394814
077
1155
2345
3575
4825
51025
61205
71245
done1245
077
1107
2177
3267
4347
5367
6377
done377
01415
13815
210315
335015
4162915
done500115
01317
12817
27217
325217
495017
5280417
done500017
01415
13515
28215
323915
496815
5451915
done500015
01315
12415
26215
321915
486715
5247015
done500015
01415
12714
26514
318814
448714
5130214
6363914
done500114
01314
12214
24814
312514
428914
564814
6118914
7209014
8344514
done500014
01314
12514
25814
317014
444114
5117414
6332814
done500114
01429
12329
24929
312629
428629
564529
6117529
7208029
8344629
done500129
01314
12214
24814
312514
428914
564814
6118914
7209014
8344514
done500014
01441
13641
211815
361515
4406615
done500115
01314
12214
24814
312514
428914
564814
6118914
7209014
8344514
done500014
01314
12214
24814
312514
428914
564814
6118914
7209014
8344514
done500014
01517
14017
212117
362317
4435417
done500117
01641
14129
216329
381329
4384029
done500029
01427
13427
213027
371627
4413527
done500027
01213
12213
25913
319613
458113
5128613
6270013
7393013
done500013
01011
11911
24011
39111
417611
530211
642211
751311
862511
993911
10138911
11159511
12183411
13207011
14208511
15212111
16227911
17300811
18406711
done500011
01011
11911
24011
39111
417611
530211
642211
751311
862511
993911
10138911
11159511
12183411
13207011
14208511
15212111
16227911
17300811
18406711
done500011
01011
11911
24611
311611
419711
529011
642511
751611
862911
994611
10139711
11160411
12184811
13208411
14209911
15213511
16229311
17303011
18411811
done500011
01011
11911
24611
311611
419711
529011
642511
751611
862911
994611
10139711
11160411
12184811
13208411
14209911
15213511
16229311
17303011
18411811
done500011
055
185
2155
3205
4245
done245
077
1107
2117
done117
066
1126
2206
3256
4296
done296
066
1116
2296
3486
4916
51746
64256
713176
done50006
0917
11817
2569
31809
46197
523747
done50007
0713
11013
21713
32213
42613
done2613
066
196
2166
3216
4256
done256
0717
12017
2747
32857
48647
527397
done50007
066
196
2166
3216
4256
done256
066
196
2166
3216
4256
done256
077
1107
2117
done117
077
1107
2117
done117
079
1129
2219
3389
4509
5589
done589
066
196
2166
3216
4256
done256
055
1103
2203
3313
4403
5443
done443
066
196
2106
done106
066
196
2106
done106
055
185
2155
3205
4245
done245
077
1107
2177
3227
4267
done267
055
185
2155
3205
4245
done245
089
1249
2529
31319
43089
59809
644879
done50009
079
1139
2309
3769
41599
52459
63959
77649
833639
done50009
077
196
2116
3146
4176
5236
6276
7436
8476
9546
10636
11836
121046
131216
141246
done1246
066
186
296
done96
066
1116
2146
3176
4236
5276
6436
7496
8566
9656
10866
111076
121196
131226
done1226
0713
1913
21013
done1013
066
186
296
done96
0717
11017
2257
3767
42287
56877
622257
done50017
066
186
296
done96
066
186
296
done96
089
1269
2669
31489
43849
511769
done50009
0917
12215
23915
34813
45813
56813
67113
77313
87413
done7413
022
done22
0711
11611
22911
35111
48911
515211
622811
741311
8181011
done500011
055
165
done65
077
187
done87
077
197
2107
done107
088
198
done98
088
1108
2118
done118
055
175
285
done85
022
done22
01113
12213
23911
37711
411611
514511
621611
733311
834911
935411
done35411
01215
12615
24515
38911
414311
519711
634611
749911
858511
959111
done59111
01215
12615
24515
38911
414311
519711
634611
749911
858511
959111
done59111
01213
12313
24213
35211
46311
59411
616711
727111
829711
930711
1034111
1136211
done36211
01215
12615
25513
39811
413511
518311
628211
742011
848811
955511
1061311
done61311
01215
12615
25513
39811
413511
518311
628211
742011
848811
955511
1061311
done61311
067
1125
2215
3225
done225
067
1125
2215
3225
done225
067
1125
2215
3225
done225
033
153
263
done63
033
153
263
done63
033
153
263
done63

prune177.0ms

Filtered
72 candidates to 97 candidates (-34.7%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New88997
Fresh000
Picked011
Done000
Total881098

Merged error: 0.0b

Counts
98 → 10

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ 2.0 3.0) z)
0.0b
(* 6.0 (- (/ 2.0 3.0) z))
0.0b
(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
0.1b
(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
18×distribute-rgt-in distribute-lft-in
13×*-un-lft-identity
11×pow1 add-exp-log sub-neg add-cbrt-cube
10×associate-*r/
associate-+r+ flip3-- associate-*l* flip-- add-log-exp
add-cube-cbrt associate-*r*
difference-of-squares
frac-times pow-prod-down prod-exp cbrt-unprod
distribute-lft-out--
times-frac associate-*l/ *-commutative
+-commutative flip3-+ diff-log sum-log flip-+ unswap-sqr
Counts
4 → 97
Calls
4 calls:
8.0ms
(- (/ 2.0 3.0) z)
10.0ms
(* 6.0 (- (/ 2.0 3.0) z))
6.0ms
(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
16.0ms
(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

series35.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(- (/ 2.0 3.0) z)
4.0ms
(* 6.0 (- (/ 2.0 3.0) z))
18.0ms
(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
11.0ms
(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

simplify5.1min

Counts
109 → 109
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01111
11911
24511
312011
426911
555311
691911
7145411
8213711
9360311
10402511
11404011
done404011
01111
11911
24511
312011
426911
555311
691911
7145411
8213711
9360311
10402511
11404011
done404011
01414
12214
23014
33214
done3214
01313
12213
23513
34813
45613
55813
65913
done5913
01212
12312
25612
314312
429412
557912
693612
7146912
8215912
9364012
10408112
11410812
done410812
01212
12212
26112
317312
446112
5112912
6321012
done500012
01735
13435
213217
369417
4420815
done500015
01535
13635
214215
378715
4470513
done500013
01325
12125
24725
312225
426925
555125
691325
7144825
8213325
9360325
10402525
11404125
done404125
01212
12012
24612
312112
427812
556012
692512
7145812
8215012
9363912
10406112
11407612
done407612
01335
13135
214013
393013
done500013
01212
12012
24612
312112
427812
556012
692512
7145812
8215012
9363912
10406112
11407612
done407612
01212
12012
24612
312112
427812
556012
692512
7145812
8215012
9363912
10406112
11407612
done407612
01619
15019
213319
346119
4246819
done500019
01729
14425
213625
360123
4214423
done500023
01621
14421
210921
338421
4210121
done500021
01317
12815
28315
325115
458015
5119915
6140615
7147815
8151815
9152315
done152315
01619
14319
212019
344419
4255919
done500019
01321
13419
210019
328917
467817
5144917
6202217
7226917
8236817
9238517
10241117
11244917
12247117
done247117
01521
13321
28921
336921
4198121
done500021
099
1189
2479
3839
41219
51369
61429
71449
done1449
099
1179
2399
31019
42129
53429
64249
74549
done4549
088
1168
2388
31048
41948
52687
63967
74507
85727
95757
done5757
099
1179
2399
31019
42129
53429
64249
74549
done4549
088
1168
2388
31048
41948
52687
63967
74507
85727
95757
done5757
099
1179
2399
31059
41969
53169
64259
74499
done4499
088
1168
2388
31008
41868
52607
63887
74447
85647
95677
done5677
099
1179
2399
31059
41969
53169
64259
74499
done4499
088
1168
2388
31008
41868
52607
63887
74447
85647
95677
done5677
099
1179
2459
31189
42269
53499
64359
74569
84579
done4579
088
1168
2448
31138
42008
52617
63397
73977
85207
95247
done5247
099
1179
2459
31189
42269
53499
64359
74569
84579
done4579
088
1168
2448
31138
42008
52617
63397
73977
85207
95247
done5247
099
1179
2459
31159
42009
53249
64279
74539
84559
done4559
088
1168
2448
31138
42018
52677
63977
74557
85787
95827
done5827
099
1179
2459
31159
42009
53249
64279
74539
84559
done4559
088
1168
2448
31138
42018
52677
63977
74557
85787
95827
done5827
055
185
2155
3205
4245
done245
01212
12012
24012
37412
411112
514612
616012
716812
done16812
01212
12012
24012
37412
411112
514612
616012
716812
done16812
01111
11911
24511
312011
426911
555311
691911
7145411
8213711
9360311
10402511
11404011
done404011
01313
12113
24713
312413
427713
556413
693213
7148013
8213313
9333813
10375113
11376513
done376513
01111
11911
24511
312011
426911
555311
691911
7145411
8213711
9360311
10402511
11404011
done404011
01415
13815
210315
335215
4161415
done500015
01317
12817
27217
326517
4105217
5301317
done500017
01415
13515
28215
324115
495615
5463515
done500015
01315
12415
26215
321215
479915
5241715
done500015
01415
12714
26614
319014
452214
5138014
6421014
done500014
01314
12214
24814
313114
430014
567414
6122314
7212414
8342014
done500014
01314
12514
25814
317514
448314
5124214
6379114
done500014
01429
12329
24929
313229
430329
568029
6122129
7212429
8345329
done500129
01314
12214
24814
313114
430014
567414
6122314
7212414
8342014
done500014
01441
13641
211815
364315
4446715
done500015
01314
12214
24814
313114
430014
567414
6122314
7212414
8342014
done500014
01314
12214
24814
313114
430014
567414
6122314
7212414
8342014
done500014
01517
14017
212117
363717
4440817
done500117
01641
14129
216229
381129
4376429
done500029
01427
13427
213027
377127
4424127
done500127
01213
12213
25913
320213
459113
5146013
6280613
7415013
done500013
01011
11911
24111
310911
422511
536111
645211
751011
862011
992411
10137411
11158011
12182311
13206111
14207611
15211211
16227011
17300511
18408011
done500011
01011
11911
24111
310911
422511
536111
645211
751011
862011
992411
10137411
11158011
12182311
13206111
14207611
15211211
16227011
17300511
18408011
done500011
01011
11911
24111
311311
421111
534111
645811
751011
861811
992211
10137211
11157811
12182311
13205811
14207311
15210911
16226711
17300011
18406211
done500011
01011
11911
24111
311311
421111
534111
645811
751011
861811
992211
10137211
11157811
12182311
13205811
14207311
15210911
16226711
17300011
18406211
done500011
01011
11911
24711
312611
423511
536411
645911
750711
861611
992011
10137011
11157611
12182311
13206511
14208011
15211611
16227411
17301111
18407911
done500011
01011
11911
24711
312611
423511
536411
645911
750711
861611
992011
10137011
11157611
12182311
13206511
14208011
15211611
16227411
17301111
18407911
done500011
01011
11911
24711
312311
421011
534011
645011
750411
861411
991811
10136811
11157411
12182511
13206211
14207711
15211311
16227111
17300211
18408611
done500111
01011
11911
24711
312311
421011
534011
645011
750411
861411
991811
10136811
11157411
12182511
13206211
14207711
15211311
16227111
17300211
18408611
done500111
077
1107
2177
3267
4347
5367
6377
done377
099
1129
2139
done139
088
1148
2228
3318
4398
5418
6428
done428
088
1138
2268
3558
41028
52138
64808
714928
done50008
01123
12023
26411
325311
49789
538899
done50009
0917
11217
21917
32817
43617
53817
63917
done3917
088
1118
2188
3278
4358
5378
6388
done388
0923
12223
2769
32849
49489
534549
done50019
088
1118
2188
3278
4358
5378
6388
done388
088
1118
2188
3278
4358
5378
6388
done388
099
1129
2139
done139
099
1129
2139
done139
055
185
2115
3155
4165
done165
044
174
2104
3114
done114
055
185
2115
3155
4165
done165
044
174
2104
3114
done114
055
185
2115
3135
4155
5165
done165
044
174
2104
3114
done114
055
185
2115
3135
4155
5165
done165
044
174
2104
3114
done114
0915
11415
21715
done1715
088
1118
2128
done128
033
161
done61
099
1179
2189
done189
01010
11810
22310
32710
42910
53010
done3010
033
161
done61
088
1118
2188
3278
4358
5378
6388
done388
088
1118
2188
3278
4358
5378
6388
done388
077
1107
2177
3267
4347
5367
6377
done377
01011
12911
27511
321011
465311
5235811
done500011
0913
11913
24213
310513
424613
544013
670113
7123613
8428813
done500113
077
196
2116
3146
4176
5236
6276
7436
8476
9546
10636
11836
121046
131216
141246
done1246
066
186
296
done96
066
1116
2146
3176
4236
5276
6436
7496
8566
9656
10866
111076
121196
131226
done1226
0713
1913
21013
done1013
066
186
296
done96
0717
11017
2257
3767
42287
56877
622257
done50017
066
186
296
done96
066
186
296
done96
089
1269
2669
31489
43849
511769
done50009
0917
12215
23915
34813
45813
56813
67113
77313
87413
done7413
022
done22
0711
11611
22911
35111
48911
515211
622811
741311
8181011
done500011
055
165
done65
077
187
done87
077
197
2107
done107
088
198
done98
088
1108
2118
done118
055
175
285
done85
022
done22
01113
12213
23911
37711
411611
514511
621611
733311
834911
935411
done35411
01215
12615
24515
38911
414311
519711
634611
749911
858511
959111
done59111
01215
12615
24515
38911
414311
519711
634611
749911
858511
959111
done59111
01213
12313
24213
35211
46311
59411
616711
727111
829711
930711
1034111
1136211
done36211
01215
12615
25513
39811
413511
518311
628211
742011
848811
955511
1061311
done61311
01215
12615
25513
39811
413511
518311
628211
742011
848811
955511
1061311
done61311
055
185
2155
done155
055
185
2155
done155
055
185
2155
done155
033
153
263
done63
033
153
263
done63
033
153
263
done63

prune177.0ms

Filtered
77 candidates to 109 candidates (-41.6%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New1045109
Fresh358
Picked011
Done101
Total10811119

Merged error: 0.0b

Counts
119 → 11

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (- y x) (* 6.0 (/ 2.0 3.0))) (* 6.0 (* z (- x y))))
0.0b
(* z (- x y))
0.0b
(+ x (+ (* (- y x) (* 6.0 (/ 2.0 3.0))) (* 6.0 (* z (- x y)))))
0.3b
(* 6.0 (* z (- x y)))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
34×associate-*r/
18×distribute-rgt-in distribute-lft-in
11×pow1 add-exp-log add-sqr-sqrt flip3-- *-un-lft-identity add-cbrt-cube flip-- add-log-exp
10×sub-neg frac-add
associate-+r+
add-cube-cbrt
associate-*r* associate-*l*
frac-times pow-prod-down associate-*l/ prod-exp sum-log cbrt-unprod
+-commutative flip3-+ *-commutative flip-+
distribute-lft-out distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 97
Calls
4 calls:
14.0ms
(+ (* (- y x) (* 6.0 (/ 2.0 3.0))) (* 6.0 (* z (- x y))))
8.0ms
(* z (- x y))
12.0ms
(+ x (+ (* (- y x) (* 6.0 (/ 2.0 3.0))) (* 6.0 (* z (- x y)))))
9.0ms
(* 6.0 (* z (- x y)))

series54.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(+ (* (- y x) (* 6.0 (/ 2.0 3.0))) (* 6.0 (* z (- x y))))
8.0ms
(* z (- x y))
22.0ms
(+ x (+ (* (- y x) (* 6.0 (/ 2.0 3.0))) (* 6.0 (* z (- x y)))))
10.0ms
(* 6.0 (* z (- x y)))

simplify4.3min

Counts
109 → 109
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
077
1137
2327
3587
4787
5947
done947
077
1137
2327
3587
4787
5947
done947
01010
11610
22310
32510
done2510
099
1169
2289
3379
4419
done419
088
1178
2438
3818
4998
51138
done1138
088
1168
2438
31008
42128
54788
613528
done50008
01323
12823
211313
357213
4267911
done500011
01123
13023
212311
366411
430559
done50009
0917
11517
23417
36017
47817
59217
done9217
088
1148
2338
3598
4798
5938
done938
0923
12523
21099
36249
431159
done50019
088
1148
2338
3598
4798
5938
done938
088
1148
2338
3598
4798
5938
done938
055
195
2155
done155
066
1126
2276
3446
4566
done566
055
195
2155
done155
066
1126
2276
3446
4566
done566
055
195
2155
done155
066
1126
2276
3406
4506
5516
done516
055
195
2155
done155
066
1126
2276
3406
4506
5516
done516
055
195
2155
done155
066
1126
2276
3406
4506
5516
done516
055
195
2155
done155
066
1126
2276
3406
4506
5516
done516
055
195
2155
done155
066
1126
2276
3446
4566
done566
055
195
2155
done155
066
1126
2276
3446
4566
done566
033
143
done43
088
1148
2338
3598
4778
5918
done918
088
1148
2338
3598
4778
5918
done918
077
1137
2327
3587
4787
5947
done947
01011
12911
26911
321311
464111
5215811
done500011
0911
11811
24911
316011
441311
568311
6109411
7193411
done500011
01822
14221
211520
332318
499718
5385118
done500018
01721
13820
210120
327518
478218
5269618
done500118
01620
13420
28120
319918
441818
575818
6118718
7222118
8438814
done500114
01620
13720
29120
325218
462718
5175718
done500018
01741
13541
28241
319837
441737
575837
6118737
7222037
8438729
done500029
01620
13420
28120
319918
441818
575818
6118718
7222118
8438814
done500114
01759
14859
216321
379319
done500019
01620
13420
28120
319918
441818
575818
6118718
7222118
8438814
done500114
01620
13420
28120
319918
441818
575818
6118718
7222118
8438814
done500114
01823
14723
211323
340421
4238821
done500121
01959
15441
218741
389637
done500037
01739
14339
214139
369735
4446135
done500035
01519
13419
28419
324717
470117
5176917
6337913
7483613
done500013
01519
13319
28019
319817
441517
575117
6117617
7220917
8438013
done500113
01011
11911
24111
310911
422511
536111
645211
751011
862011
992411
10137411
11158011
12182311
13206111
14207611
15211211
16227011
17300511
18408011
done500011
055
185
2155
3205
4245
done245
077
1107
2117
done117
066
1126
2206
3256
4296
done296
066
1116
2246
3496
4906
51926
64416
714026
done50016
0917
11817
2629
32439
48557
529657
done50017
0713
11013
21713
32213
42613
done2613
066
196
2166
3216
4256
done256
0717
12017
2747
32667
48187
525117
done50007
066
196
2166
3216
4256
done256
066
196
2166
3216
4256
done256
077
1107
2117
done117
077
1107
2117
done117
033
143
done43
044
174
2104
3114
done114
033
143
done43
044
174
2104
3114
done114
033
143
done43
044
174
2104
3114
done114
033
143
done43
044
174
2104
3114
done114
0711
11211
21511
done1511
066
196
2106
done106
033
161
done61
077
1157
2167
done167
033
161
done61
066
196
2166
3216
4256
done256
066
196
2166
3216
4256
done256
055
185
2155
3205
4245
done245
089
1249
2529
31319
43099
59889
644669
done50009
079
1139
2309
3769
41599
52459
64009
77719
833759
done50009
01619
13718
29918
327616
478116
5254816
done500016
01518
13018
27118
317316
434716
558416
681316
7134116
8273312
9333212
10345712
11347012
done347012
01518
13318
28718
324216
462916
5188316
done500116
01637
13137
27237
317433
434033
558233
680933
7133733
8273025
9331225
10341425
11341525
done341525
01518
13018
27118
317316
434416
558016
680916
7133716
8273012
9330512
10340412
11340512
done340512
01653
14453
216519
3101217
done500117
01518
13018
27118
317316
434416
558016
680916
7133716
8273012
9330512
10340412
11340512
done340512
01518
13018
27118
317316
434416
558016
680916
7133716
8273012
9330512
10340412
11340512
done340512
02749
17845
226145
3125935
done500035
01325
13521
29821
344821
4143621
5413121
done500121
02541
17339
223339
399639
done500235
01117
12815
27615
330015
451415
591915
6159415
7221015
8238815
9266715
10370415
done500015
02541
17339
225539
3126035
done500035
01117
12815
29615
329115
453015
596615
6167015
7221815
8239715
9258815
10324015
done500015
02033
15233
219033
385329
4374225
done500025
079
1159
2399
3839
41219
51859
62429
72819
82879
done2879
02333
16631
221331
387931
4302729
done500029
0913
12311
25211
37811
48711
58911
done8911
01825
14625
214725
352925
4153021
5347819
done500019
055
1135
2145
done145
02749
17745
225545
3139835
done500135
01123
13019
28819
333919
492519
5297519
done500019
02541
17239
222839
3107739
done500035
0915
12313
27313
315613
434013
560313
679013
784713
892213
9118713
10231413
done500113
02541
17239
225039
3137335
done500035
0915
12313
27313
315713
430113
559013
684113
797213
8105213
9132313
10245613
done500013
02033
15133
218433
387329
4364725
done500025
057
1127
2257
3417
4647
5807
6877
7897
done897
01721
15121
219521
3110321
done500121
01853
15845
226145
3160441
done500141
01635
14935
220635
3110831
4492031
done500031
01417
13017
28217
323415
451115
593915
6158211
7243011
8359111
9366311
done366311
01315
12615
25415
312613
425313
539613
650713
760613
880713
9125513
10175413
11201013
12219513
13221613
done221613
01315
12615
25415
312613
425313
539613
650713
760613
880713
9125513
10175413
11201013
12219513
13221613
done221613
01315
12615
25415
312613
425313
539613
650713
760613
880713
9125513
10175413
11201013
12219513
13221613
done221613
01315
12615
25415
312613
425313
539613
650713
760613
880713
9125513
10175413
11201013
12219513
13221613
done221613
01315
12615
25415
312613
425313
539613
650713
760613
880713
9125513
10175413
11201013
12219513
13221613
done221613
01315
12615
25415
312613
425313
539613
650713
760613
880713
9125513
10175413
11201013
12219513
13221613
done221613
01315
12615
25415
312613
425313
539613
650713
760613
880713
9125513
10175413
11201013
12219513
13221613
done221613
01315
12615
25415
312613
425313
539613
650713
760613
880713
9125513
10175413
11201013
12219513
13221613
done221613
0911
1219
2467
3817
4997
51007
done1007
0911
1219
2467
3817
4997
51007
done1007
0911
1219
2467
3817
4997
51007
done1007
01213
12313
24213
35211
46311
59411
616711
727111
829711
930711
1034111
1136211
done36211
01215
12615
25513
39811
413511
518311
628211
742011
848811
955511
1061311
done61311
01215
12615
25513
39811
413511
518311
628211
742011
848811
955511
1061311
done61311
067
1107
2195
3235
4245
done245
067
1107
2195
3235
4245
done245
067
1107
2195
3235
4245
done245
01113
12213
23911
37711
411611
514511
621611
733311
834911
935411
done35411
01215
12615
24515
38911
414311
519711
634611
749911
858511
959111
done59111
01215
12615
24515
38911
414311
519711
634611
749911
858511
959111
done59111

prune172.0ms

Filtered
81 candidates to 109 candidates (-34.6%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New1090109
Fresh099
Picked011
Done011
Total10911120

Merged error: 0.0b

Counts
120 → 11

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (* 6.0 (- (/ 2.0 3.0) z)))
0.2b
(cbrt (* 6.0 (- (/ 2.0 3.0) z)))
0.2b
(cbrt (* 6.0 (- (/ 2.0 3.0) z)))
0.8b
(* (cbrt (* 6.0 (- (/ 2.0 3.0) z))) (cbrt (* 6.0 (- (/ 2.0 3.0) z))))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*r/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
flip3-- pow1/3 flip--
add-cube-cbrt *-un-lft-identity
cbrt-prod
add-exp-log
frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
pow-prod-down associate-*l/ pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 72
Calls
4 calls:
9.0ms
(cbrt (* 6.0 (- (/ 2.0 3.0) z)))
9.0ms
(cbrt (* 6.0 (- (/ 2.0 3.0) z)))
15.0ms
(cbrt (* 6.0 (- (/ 2.0 3.0) z)))
8.0ms
(* (cbrt (* 6.0 (- (/ 2.0 3.0) z))) (cbrt (* 6.0 (- (/ 2.0 3.0) z))))

series47.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(cbrt (* 6.0 (- (/ 2.0 3.0) z)))
11.0ms
(cbrt (* 6.0 (- (/ 2.0 3.0) z)))
10.0ms
(cbrt (* 6.0 (- (/ 2.0 3.0) z)))
15.0ms
(* (cbrt (* 6.0 (- (/ 2.0 3.0) z))) (cbrt (* 6.0 (- (/ 2.0 3.0) z))))

simplify1.5min

Counts
84 → 84
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
023
151
done51
023
161
done61
0815
11815
24815
313615
436315
581015
6160715
7309115
done500015
0917
11217
21917
32817
43617
53817
63917
done3917
023
161
done61
01019
11511
22311
33211
44011
54211
64311
done4311
01018
11518
22411
33411
44211
54411
64511
done4511
01018
11518
22618
34018
46618
511018
621918
761018
8229618
done500018
0815
11815
24815
313615
436315
581015
6160715
7309115
done500015
01137
11437
22137
33037
43837
54037
64137
done4137
01018
11318
22018
32918
43718
53918
64018
done4018
01153
12253
23619
35910
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6137810
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done500010
01018
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2219
3309
4389
5409
6419
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3309
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77529
87629
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483427
5263527
done500127
01325
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77721
87821
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01727
14527
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87821
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0713
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035
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0713
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21013
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22721
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43719
53919
64019
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1138
2218
3308
4388
5408
6418
done418
01019
1138
2218
3308
4388
5408
6418
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023
141
done41
0917
11217
21917
32817
43617
53817
63917
done3917
01019
1138
2218
3308
4388
5408
6418
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1138
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3308
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033
151
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033
161
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33011
43811
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64111
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11728
22628
33528
44328
54528
64628
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01018
11418
22118
33018
43818
54018
64118
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01010
1168
2268
3358
4438
5458
6468
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11415
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43815
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01018
11418
22118
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01018
11418
22118
33018
43818
54018
64118
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0917
11217
21917
32817
43617
53817
63917
done3917
01521
13821
29021
322821
466721
5239521
done500021
01423
12723
26023
315023
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558723
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01521
13821
29021
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5239621
done500021
01423
12723
26023
315023
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7261923
done500123
099
1129
2199
3289
4369
5389
6399
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099
1129
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4369
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022
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066
186
296
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24016
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77614
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done500014
066
176
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01019
11319
22019
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43719
53919
64019
done4019
099
1129
2199
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4369
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6399
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01026
11426
22310
3377
4517
5637
6877
71487
83657
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done50007
099
1129
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6399
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099
1129
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099
1129
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066
186
296
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01112
13012
27612
321112
465912
5235912
done500012
01018
12316
24016
35114
46114
57114
67414
77614
87714
done7714
01014
12014
24314
310614
424514
543814
669314
7123214
8424814
done500014
066
176
done76
01019
11319
22019
32919
43719
53919
64019
done4019
099
1129
2199
3289
4369
5389
6399
done399
01026
11426
22310
3377
4517
5637
6877
71487
83657
912857
done50007
099
1129
2199
3289
4369
5389
6399
done399
099
1129
2199
3289
4369
5389
6399
done399
099
1129
2199
3289
4369
5389
6399
done399
099
1129
2199
3289
4369
5389
6399
done399
022
done22
066
186
296
done96
01112
13012
27612
321112
465912
5235912
done500012
01018
12316
24016
35114
46114
57114
67414
77614
87714
done7714
01014
12014
24314
310614
424514
543814
669314
7123214
8424814
done500014
066
176
done76
01019
11319
22019
32919
43719
53919
64019
done4019
099
1129
2199
3289
4369
5389
6399
done399
01026
11426
22310
3377
4517
5637
6877
71487
83657
912857
done50007
099
1129
2199
3289
4369
5389
6399
done399
099
1129
2199
3289
4369
5389
6399
done399
02955
17751
227548
3152842
done500142
02463
15857
216451
368829
4451525
done500125
02563
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216254
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17243
221540
379336
4354232
done500032
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15548
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341329
4186623
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342829
4194927
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02847
17243
221540
379336
4354232
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02354
15548
213345
341329
4186623
done500023
02351
15348
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342829
4194927
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02847
17243
221540
379336
4354232
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02354
15548
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341329
4186623
done500023
02351
15348
213245
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4194927
done500027

prune251.0ms

Filtered
69 candidates to 84 candidates (-21.7%)
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New84084
Fresh088
Picked011
Done022
Total841195

Merged error: 0.0b

Counts
95 → 11

regimes697.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01519
12119
done2119

end0.0ms

sample936.0ms

Algorithm
intervals
Results
396.0ms9481×body80valid
41.0ms274×body640valid
27.0ms145×body1280valid
25.0ms185×body320valid
13.0ms114×body160valid

Profiling

Loading profile data...