Details

Time bar (total: 6.5min)

sample19.0ms

Algorithm
intervals
Results
7.0ms301×body80valid

simplify24.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
057
1107
2197
3257
4337
5457
6517
done517

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ (* x y) x)

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
add-log-exp
pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ sum-log add-cbrt-cube flip-+
Counts
1 → 11
Calls
1 calls:
5.0ms
(+ (* x y) x)

series5.0ms

Counts
1 → 3
Calls
1 calls:
5.0ms
(+ (* x y) x)

simplify19.2s

Counts
14 → 14
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
067
1116
2226
3436
4986
52196
65596
717466
done50016
056
176
2106
3176
4246
done246
056
1106
2176
3316
4636
51266
62886
77526
824266
done50006
0613
1813
21113
31513
42113
done2113
056
176
2106
3146
4206
done206
0617
12117
2687
32117
47037
530647
done50007
056
176
2106
3146
4206
done206
056
176
2106
3146
4206
done206
079
1249
2639
31709
43849
512339
done50009
0817
12215
25213
310013
420211
537411
665711
791811
8164911
9231611
10233111
done233111
0611
11811
2419
3679
41269
52769
64909
79979
831639
done50009
045
175
285
done85
045
165
295
3135
4195
done195
045
165
295
3135
4195
done195
045
165
295
3135
4195
done195

prune17.0ms

Filtered
10 candidates to 14 candidates (-40.0%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New13114
Fresh000
Picked011
Done000
Total13215

Merged error: 0.0b

Counts
15 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* x y) x)
2.2b
(* x (- (* x (* y y)) x))
8.4b
(* x (* y y))
29.5b
(/ (* x (- (* x (* y y)) x)) (- (* x y) x))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
12×add-sqr-sqrt
11×pow1
add-cube-cbrt *-un-lft-identity
associate-*l* add-log-exp
prod-exp cbrt-unprod
flip3-- associate-*r/ associate-*r* pow-prod-down flip--
sub-neg times-frac associate-/r*
cbrt-undiv distribute-rgt-in distribute-lft-in div-exp associate-/r/ *-commutative associate-/l/ unswap-sqr
frac-2neg diff-log clear-num div-inv associate-/l*
Counts
4 → 80
Calls
4 calls:
4.0ms
(- (* x y) x)
10.0ms
(* x (- (* x (* y y)) x))
7.0ms
(* x (* y y))
14.0ms
(/ (* x (- (* x (* y y)) x)) (- (* x y) x))

series55.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(- (* x y) x)
16.0ms
(* x (- (* x (* y y)) x))
8.0ms
(* x (* y y))
26.0ms
(/ (* x (- (* x (* y y)) x)) (- (* x y) x))

simplify3.2min

Counts
92 → 92
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01218
12318
23318
33918
44518
55418
66718
78518
810118
910818
1012518
1112718
done12718
01117
12317
23817
35717
46717
57517
69917
716017
82968
95576
1012386
1148036
done50006
01016
12216
24616
39516
416314
525312
636212
77258
842016
done50016
01016
11916
23516
37016
413714
526012
646312
713368
done50008
01547
13647
216521
385021
4410319
done500019
01347
13847
217819
399917
4452715
done500015
01133
12033
23633
36933
412229
521125
630625
764217
8408313
done500013
01016
11916
23516
36816
412014
520712
630212
76388
840486
done50016
01147
12747
28017
335817
4199515
done500115
01016
11916
23516
36816
412014
520712
630212
76388
840486
done50016
01016
11916
23516
36816
412014
520712
630212
76388
840486
done50016
0710
11610
23510
38010
41259
52049
63699
75589
88729
915389
1038049
done50009
056
186
2126
3196
4205
5235
6275
7345
8355
done355
0715
11215
21315
done1315
0914
11814
22914
34414
45714
56214
66414
done6414
068
198
2108
done108
0914
11814
22914
34414
45714
56214
66414
done6414
033
151
done51
0813
11713
22813
35213
49613
514213
622113
778613
done500013
067
1117
2127
done127
0915
12115
25315
310313
414411
538911
6183411
done500011
01123
12523
25023
310423
420523
535023
650223
760223
880623
9136023
10272123
done500023
01016
11916
23216
35616
49616
514016
618616
724516
837016
963916
10130716
11373916
done500016
0811
1189
2359
3659
4939
51539
62779
73559
84689
97609
1012089
1120249
1247779
done50009
0813
11713
22613
33713
45913
58613
622013
7164413
done500013
01219
13719
29819
328719
494419
5484417
done500017
01121
12921
26419
320019
48311
531301
done50001
01229
13627
212825
350821
4149019
5383319
done500019
0813
12113
25513
315713
431313
556613
698613
7213913
done500113
045
175
295
done95
045
175
295
done95
068
1117
2147
done147
067
197
2157
3167
done167
056
1116
2186
3256
4266
done266
056
1106
2206
3386
4806
51826
64466
712986
846726
done50006
0817
12117
27311
32007
44167
511627
639227
done50007
0817
12217
2699
31967
44417
512437
641927
done50007
0613
1913
21113
done1113
056
186
2106
done106
0617
11917
2707
32247
43657
55317
614257
747847
done50007
056
186
2106
done106
056
186
2106
done106
044
154
done54
044
154
done54
033
143
done43
056
186
2106
done106
056
186
2106
done106
045
175
295
done95
069
1129
2219
3319
4389
5419
6479
7699
81279
92779
104939
119849
1231819
done50019
0811
11411
21711
done1711
0710
11610
22610
33610
44010
54310
65210
77710
814410
930410
1052110
11103510
12323310
done500010
0710
11510
23010
35810
411810
526510
676710
7269810
done500110
01029
12229
26813
328313
4119811
5488011
done500011
0821
11421
22321
33321
43621
53921
64521
76721
812521
927721
1049321
11100421
12319621
done500021
0710
11310
22210
33210
43610
53910
64510
76710
812510
927910
1049710
11100310
12317910
done500010
0829
12429
28011
331211
4110511
5356011
done500011
0710
11310
22210
33210
43610
53910
64510
76710
812510
927910
1049710
11100310
12317910
done500010
0710
11310
22210
33210
43610
53910
64510
76710
812510
927910
1049710
11100310
12317910
done500010
0811
11411
21711
done1711
0811
11411
21711
done1711
057
1117
2197
3237
done237
034
164
done64
057
1117
2197
3237
done237
034
164
done64
057
197
2177
3227
done227
034
164
done64
057
197
2177
3227
done227
034
164
done64
0819
11619
22119
done2119
0710
11310
21610
done1610
033
161
done61
0710
11310
22210
34110
46210
56810
67110
done7110
0710
11310
22210
34110
46210
56810
67110
done7110
069
1129
2219
3319
4389
5419
6479
7699
81279
92779
104939
119849
1231819
done50019
0913
13013
210413
340413
4120011
5497011
done500011
0817
12317
27215
317513
436111
577911
6152611
7365611
done500011
067
1106
2186
3316
4696
51806
65546
721986
done50006
056
186
296
done96
056
1116
2176
3276
4556
51356
64216
711636
836806
done50016
0613
1913
21013
done1013
056
186
296
done96
0617
11017
2257
3807
42547
57767
627737
done50017
056
186
296
done96
056
186
296
done96
079
1259
2779
32029
44759
515489
done50009
0817
12115
24713
37811
411711
517811
618911
724011
830511
931111
done31111
022
done22
0611
11811
2419
3679
41269
52769
64909
79979
831639
done50009
045
165
295
3135
4195
done195
022
done22
045
165
295
3135
4195
done195
045
165
295
3135
4195
done195
045
165
295
3135
4195
done195
055
1115
2275
3325
4385
5485
6705
71295
83465
912725
done50005
055
1115
2275
3325
4385
5485
6705
71295
83465
912725
done50005
055
1115
2275
3325
4385
5485
6705
71295
83465
912725
done50005
055
1124
2344
3394
4454
5554
6774
71414
83524
912834
done50014
0711
11811
26811
3949
41119
51489
62489
75169
811419
934669
done50009
0711
11811
26811
3949
41119
51489
62489
75169
811419
934669
done50009
045
175
285
done85
045
175
285
done85
045
175
285
done85

prune97.0ms

Filtered
71 candidates to 92 candidates (-29.6%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New91192
Fresh000
Picked101
Done011
Total92294

Merged error: 0b

Counts
94 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(* x (/ (- (* x (* y y)) x) (- (* x y) x)))
0.0b
(- (* x y) x)
8.3b
(/ (- (* x (* y y)) x) (- (* x y) x))
8.4b
(* x (* y y))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
21×add-cube-cbrt *-un-lft-identity
19×times-frac
16×add-exp-log associate-*r* add-cbrt-cube
11×pow1
associate-*l* add-log-exp
prod-exp cbrt-unprod
flip3-- pow-prod-down associate-/r/ flip--
associate-/r* associate-/l* unswap-sqr
cbrt-undiv div-exp *-commutative div-inv associate-/l/
sub-neg frac-2neg diff-log div-sub associate-*r/ clear-num
Counts
4 → 97
Calls
4 calls:
15.0ms
(* x (/ (- (* x (* y y)) x) (- (* x y) x)))
4.0ms
(- (* x y) x)
13.0ms
(/ (- (* x (* y y)) x) (- (* x y) x))
7.0ms
(* x (* y y))

series57.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(* x (/ (- (* x (* y y)) x) (- (* x y) x)))
5.0ms
(- (* x y) x)
22.0ms
(/ (- (* x (* y y)) x) (- (* x y) x))
7.0ms
(* x (* y y))

simplify3.0min

Counts
109 → 109
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
045
175
295
done95
045
175
295
done95
068
1117
2147
done147
067
197
2157
3167
done167
056
1116
2186
3256
4266
done266
056
1106
2206
3386
4806
51826
64466
712986
846726
done50006
0817
12117
27311
32007
44167
511627
639227
done50007
0817
12217
2699
31967
44417
512437
641927
done50007
0613
1913
21113
done1113
056
186
2106
done106
0617
11917
2707
32247
43657
55317
614257
747847
done50007
056
186
2106
done106
056
186
2106
done106
044
154
done54
044
154
done54
033
143
done43
056
186
2106
done106
056
186
2106
done106
045
175
295
done95
01015
11815
22215
done2215
0914
12114
23414
35914
410314
514914
622814
753714
8341914
done500114
0914
11814
23214
35814
410914
517714
632614
795414
8478814
done500014
01241
12741
28917
331215
4113915
5485815
done500015
01029
11929
23029
35429
49829
514429
622329
779129
done500029
0914
11814
22914
35314
49714
514314
622314
752714
8342214
done500014
01041
12641
26515
324715
4103715
5471015
done500015
0914
11814
22914
35314
49714
514314
622314
752714
8342214
done500014
0914
11814
22914
35314
49714
514314
622314
752714
8342214
done500014
068
1118
2178
3308
4437
5467
6507
7577
8587
done587
056
186
2126
3196
4205
5235
6275
7345
8355
done355
0711
11411
22611
35811
41049
51407
62297
77167
done50007
057
187
297
done97
01231
12431
23631
34231
done4231
01015
11615
21915
done1915
01124
11924
22424
32524
done2524
01015
11615
21915
done1915
0919
11817
22717
33217
done3217
0914
11514
21814
done1814
01122
11922
22222
done2222
01015
11615
21915
done1915
01015
11615
21915
done1915
01015
11615
21915
done1915
0810
1158
2208
done208
0914
11514
21814
done1814
0815
11515
21615
done1615
0914
11814
22914
34414
45714
56214
66414
done6414
078
1128
2138
done138
0914
11814
22914
34414
45714
56214
66414
done6414
023
141
done41
0813
11713
22813
35213
49613
514213
622113
778613
done500013
067
1117
2127
done127
0813
11713
22613
33713
45913
58613
622013
7164413
done500013
01021
12121
24321
38921
415121
516921
617121
done17121
0914
11814
22914
34414
45714
56214
66414
done6414
079
1177
2307
3487
4817
5987
done987
0914
11814
22714
33214
43414
done3414
0914
11814
22714
33214
43414
done3414
0813
11713
22613
33713
45913
58613
622013
7164413
done500013
01117
13617
29417
326917
498017
done500017
01019
12819
26817
320417
474015
518513
done50003
01229
13627
212825
350821
4149019
5383319
done500019
0813
12113
25513
315713
431313
556613
698613
7213913
done500113
067
1106
2186
3316
4696
51806
65546
721986
done50006
056
186
296
done96
056
1116
2176
3276
4556
51356
64216
711636
836806
done50016
0613
1913
21013
done1013
056
186
296
done96
0617
11017
2257
3807
42547
57767
627737
done50017
056
186
296
done96
056
186
296
done96
079
1259
2779
32029
44759
515489
done50009
0817
12115
24713
37811
411711
517811
618911
724011
830511
931111
done31111
022
done22
0611
11811
2419
3679
41269
52769
64909
79979
831639
done50009
045
165
295
3135
4195
done195
022
done22
0915
12115
24115
38615
417013
527711
642111
710877
done50017
01218
12318
23318
34218
44818
55818
66518
77718
810018
911418
1012018
done12018
01117
12417
24117
37417
412817
518317
626717
757517
8350717
done500017
01016
12516
25116
310616
420914
533012
648912
711748
done50008
01016
12416
25016
311316
426714
563012
6159312
done500012
01547
13647
214421
368419
4329719
done500019
01347
13547
210719
345419
4243617
done500115
01133
12333
24333
38833
417229
527925
642225
7108817
done500017
01016
12216
24216
38716
416814
527512
642012
78598
done50006
01147
13347
210417
342717
4220715
done500115
01016
12216
24216
38716
416814
527512
642012
78598
done50006
01016
12216
24216
38716
416814
527512
642012
78598
done50006
01117
12117
23217
35617
410017
514617
622517
778317
done500017
01117
12117
23217
35617
410017
514617
622517
778317
done500017
01218
12118
22718
33118
43218
done3218
01218
12118
22718
33118
43218
done3218
01131
12331
23631
36031
410431
515031
622931
754331
8346731
done500031
01016
12016
23116
35516
49916
514516
622416
752516
8341916
done500116
01333
12833
26033
39933
415533
516933
done16933
01226
12326
23626
35126
46426
56626
done6626
01021
12219
24219
38119
411919
done11919
01224
12324
23724
35124
46324
done6324
01117
12017
22617
33017
43117
done3117
0912
11910
22910
33810
44410
done4410
0917
11917
23015
33815
45815
59115
69615
done9615
0810
11610
2208
3218
4268
5278
done278
045
193
2141
done141
033
161
done61
069
1129
2219
3319
4389
5419
6479
7699
81279
92779
104939
119849
1231819
done50019
01219
14019
210519
329319
4114819
done500019
01121
13221
28019
329719
413011
541121
done50011
01016
12216
24216
39816
419516
536016
657316
7142813
done500113
01016
12216
24216
39816
419516
536016
657316
7142813
done500113
0915
12115
24115
38615
417013
527711
642111
710877
done50017
069
1129
2219
3319
4389
5419
6479
7699
81279
92779
104939
119849
1231819
done50019
055
1115
2275
3325
4385
5485
6705
71295
83465
912725
done50005
055
1115
2275
3325
4385
5485
6705
71295
83465
912725
done50005
055
1115
2275
3325
4385
5485
6705
71295
83465
912725
done50005
033
163
done63
033
163
done63
033
163
done63
045
175
285
done85
045
175
285
done85
045
175
285
done85
045
165
295
3135
4195
done195
045
165
295
3135
4195
done195
045
165
295
3135
4195
done195

prune115.0ms

Filtered
88 candidates to 109 candidates (-23.9%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1090109
Fresh000
Picked011
Done011
Total1092111

Merged error: 0b

Counts
111 → 2

regimes102.0ms

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
057
187
done87

end0.0ms

sample503.0ms

Algorithm
intervals
Results
220.0ms9124×body80valid
0.0msbody1280valid

Profiling

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