Details

Time bar (total: 5.6min)

sample20.0ms

Algorithm
intervals
Results
9.0ms327×body80valid
2.0ms13×body1280valid
1.0msbody640valid
0.0msbody320valid
0.0msbody160valid

simplify79.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
079
1149
2319
3679
41069
51229
done1229

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.2b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* 3.0 (- 2.0 (* x 3.0))) x)
0.1b
(* 3.0 (- 2.0 (* x 3.0)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
add-sqr-sqrt
associate-*r*
add-cube-cbrt *-un-lft-identity
associate-*r/ associate-*l* pow-prod-down prod-exp cbrt-unprod
distribute-rgt-in sub-neg flip3-- distribute-lft-in associate-*l/ *-commutative flip-- add-log-exp
unswap-sqr
Counts
2 → 44
Calls
2 calls:
8.0ms
(* (* 3.0 (- 2.0 (* x 3.0))) x)
12.0ms
(* 3.0 (- 2.0 (* x 3.0)))

series13.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(* (* 3.0 (- 2.0 (* x 3.0))) x)
6.0ms
(* 3.0 (- 2.0 (* x 3.0)))

simplify49.5s

Counts
50 → 50
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
067
1107
2237
3377
4417
done417
089
1129
2199
done199
078
1148
2288
3428
4488
done488
078
1138
2328
3668
41308
52748
67228
724528
done50008
01023
12023
27011
329511
413209
done50029
0817
11217
22517
33917
44317
done4317
078
1118
2248
3388
4448
done448
0823
12223
2829
33259
412039
543209
done50009
078
1118
2248
3388
4448
done448
078
1118
2248
3388
4448
done448
089
1129
2199
done199
089
1129
2199
done199
033
143
done43
056
1136
2236
3286
done286
033
143
done43
056
1136
2236
3286
done286
033
143
done43
056
1136
2226
3286
done286
033
143
done43
056
1136
2226
3286
done286
0815
11415
22315
done2315
078
1118
2188
done188
033
161
done61
078
1118
2248
3458
4638
5718
done718
078
1118
2248
3458
4638
5718
done718
067
1107
2237
3377
4417
done417
0911
12911
29011
332511
4101811
5314411
done500011
0813
12213
26213
316113
431513
550313
672713
7121313
8414313
done500113
079
1149
2319
3679
41069
51229
done1229
079
1149
2319
3679
41069
51229
done1229
01012
11712
23012
33212
done3212
0911
11711
23511
35311
45911
done5911
0810
11810
24210
39010
413110
514810
done14810
0810
11710
24510
311110
424010
549910
6125710
7432810
done500110
01329
12929
211915
357015
4287113
done500013
01129
13129
212913
365113
4307911
done500011
0921
11621
23321
36921
411121
512821
done12821
0810
11510
23210
36810
411010
512510
done12510
0929
12629
210711
359411
4289511
done500111
0810
11510
23210
36810
411010
512510
done12510
0810
11510
23210
36810
411010
512510
done12510
0913
11813
24413
39813
422013
535213
640513
done40513
0810
11510
23410
37010
413510
518310
620110
done20110
089
1177
2427
3847
41337
51967
62247
72517
done2517
067
1107
2237
3377
4417
done417
01013
13313
29813
336513
4136313
done500013
0915
12615
27215
321415
454215
5101413
6153213
7231013
done500013
055
185
2155
done155
055
185
2155
done155
055
185
2155
done155
089
1179
2409
3579
4797
5927
61147
71787
83947
913447
done50017
089
1179
2409
3579
4797
5927
61147
71787
83947
913447
done50017
089
1179
2409
3579
4797
5927
61147
71787
83947
913447
done50017

prune98.0ms

Filtered
37 candidates to 50 candidates (-35.1%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New41950
Fresh000
Picked101
Done000
Total42951

Merged error: 0.0b

Counts
51 → 9

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(- 6.0 (* 9.0 x))
0.1b
(* (- 6.0 (* 9.0 x)) x)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
associate-*r* associate-*l*
flip3-- associate-*l/ flip--
sub-neg diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 32
Calls
2 calls:
3.0ms
(- 6.0 (* 9.0 x))
12.0ms
(* (- 6.0 (* 9.0 x)) x)

series11.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(- 6.0 (* 9.0 x))
7.0ms
(* (- 6.0 (* 9.0 x)) x)

simplify47.9s

Counts
38 → 38
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
067
1107
2237
3377
4437
done437
089
1129
2199
done199
078
1148
2288
3428
4488
done488
078
1138
2378
3748
41448
53078
68518
729848
done50008
01023
12023
26411
321911
49779
543549
done50019
0817
11217
22517
33917
44317
done4317
078
1118
2248
3388
4448
done448
0823
12223
2829
33389
412559
545149
done50009
078
1118
2248
3388
4448
done448
078
1118
2248
3388
4448
done448
089
1129
2199
done199
089
1129
2199
done199
0811
11411
22911
36211
410211
514811
617211
done17211
078
1118
2248
3458
4638
5718
done718
077
1135
2295
3565
4955
51095
61175
done1175
078
1118
2188
done188
078
1118
2188
done188
067
1107
2237
3377
4437
done437
0911
12911
29011
332211
4100611
5303311
done500111
0813
12213
26213
316113
431713
550713
672413
7121213
8418013
done500013
077
1126
2206
3396
4776
51776
65006
717966
done50006
066
196
2166
done166
066
1126
2256
3416
4776
51816
65556
721446
done50016
0713
11013
21713
done1713
066
196
2166
done166
0717
11117
2327
31077
44027
513677
640037
done50017
066
196
2166
done166
066
196
2166
done166
089
1279
2829
32729
47409
518889
done50009
0917
12613
25913
37213
47313
done7313
044
194
2114
done114
0711
12011
25011
310911
415911
526011
637011
761211
8207511
done500011
055
175
done75
044
194
2114
done114
089
1179
2409
3579
4797
5927
61147
71787
83947
913447
done50017
089
1179
2409
3579
4797
5927
61147
71787
83947
913447
done50017
089
1179
2409
3579
4797
5927
61147
71787
83947
913447
done50017
055
185
2155
done155
055
185
2155
done155
055
185
2155
done155

prune74.0ms

Filtered
27 candidates to 38 candidates (-40.7%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New33538
Fresh448
Picked011
Done000
Total371047

Merged error: 0.0b

Counts
47 → 10

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (- 2.0 (* x 3.0)) x)
0.1b
(* 3.0 (* (- 2.0 (* x 3.0)) x))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
add-sqr-sqrt
associate-*l*
add-cube-cbrt *-un-lft-identity
associate-*r* pow-prod-down associate-*l/ prod-exp cbrt-unprod
flip3-- associate-*r/ *-commutative flip-- add-log-exp
unswap-sqr
Counts
2 → 40
Calls
2 calls:
13.0ms
(* (- 2.0 (* x 3.0)) x)
7.0ms
(* 3.0 (* (- 2.0 (* x 3.0)) x))

series15.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(* (- 2.0 (* x 3.0)) x)
8.0ms
(* 3.0 (* (- 2.0 (* x 3.0)) x))

simplify57.7s

Counts
46 → 46
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
079
1149
2379
3859
41159
51209
done1209
079
1149
2379
3859
41159
51209
done1209
01012
11712
23012
33212
done3212
0911
11711
23511
35311
45911
done5911
0810
11810
24810
310810
414210
514710
done14710
0810
11710
24810
312710
425910
555310
6151610
done500010
01329
12929
211415
352315
4276113
done500013
01129
13129
213013
369313
4344011
done500011
0921
11621
23921
38721
411921
512421
done12421
0810
11510
23810
38610
411610
512110
done12110
0929
12629
211411
360911
4314311
done500011
0810
11510
23810
38610
411610
512110
done12110
0810
11510
23810
38610
411610
512110
done12110
067
1107
2237
3377
4417
done417
0810
11510
24010
39310
415510
518310
618810
done18810
0810
11510
24010
39310
415510
518310
618810
done18810
079
1149
2379
3859
41159
51209
done1209
01013
13313
210413
340913
4155013
done500113
0915
12615
27815
325615
463115
5105113
6157013
7254413
done500113
067
1107
2237
3377
4417
done417
089
1129
2199
done199
078
1148
2288
3428
4488
done488
078
1138
2378
3748
41448
53078
68518
729858
done50008
01023
12023
26411
321911
49779
543409
done50009
0817
11217
22517
33917
44317
done4317
078
1118
2248
3388
4448
done448
0823
12223
2829
33389
412499
546039
done50009
078
1118
2248
3388
4448
done448
078
1118
2248
3388
4448
done448
089
1129
2199
done199
089
1129
2199
done199
0811
11411
22911
36211
410211
514811
617211
done17211
078
1118
2248
3458
4638
5718
done718
077
1135
2295
3565
4955
51095
61175
done1175
078
1118
2188
done188
078
1118
2188
done188
067
1107
2237
3377
4417
done417
0911
12911
29011
332211
499411
5306211
done500011
0813
12213
26213
316113
431813
551013
675613
7129213
8444713
done500013
089
1179
2409
3579
4797
5927
61147
71787
83947
913447
done50017
089
1179
2409
3579
4797
5927
61147
71787
83947
913447
done50017
089
1179
2409
3579
4797
5927
61147
71787
83947
913447
done50017
089
1179
2409
3579
4797
5927
61147
71787
83947
913447
done50017
089
1179
2409
3579
4797
5927
61147
71787
83947
913447
done50017
089
1179
2409
3579
4797
5927
61147
71787
83947
913447
done50017

prune77.0ms

Filtered
33 candidates to 46 candidates (-39.4%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New45146
Fresh358
Picked011
Done011
Total48856

Merged error: 0.0b

Counts
56 → 8

localize10.0ms

Local error

Found 3 expressions with local error:

0.1b
(* (- 2.0 (* x 3.0)) x)
0.2b
(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x)))
0.3b
(* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
31×pow1 add-exp-log
19×pow-prod-down prod-exp add-cbrt-cube cbrt-unprod
10×associate-*l*
add-sqr-sqrt
add-cube-cbrt *-un-lft-identity
associate-*r/ associate-*l/
associate-*r*
cbrt-prod flip3-- *-commutative flip-- add-log-exp
unswap-sqr
Counts
3 → 73
Calls
3 calls:
11.0ms
(* (- 2.0 (* x 3.0)) x)
16.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x)))
8.0ms
(* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x))

series38.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(* (- 2.0 (* x 3.0)) x)
18.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x)))
13.0ms
(* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x))

simplify3.0min

Counts
82 → 82
Iterations

Useful iterations: 3 (3.0ms)

IterNodesCost
0810
11510
24010
39310
415510
518310
618810
done18810
0810
11510
24010
39310
415510
518310
618810
done18810
01113
11813
23113
done3113
01012
11812
23612
35412
45812
done5812
0911
11911
25111
311611
417811
520611
621111
done21111
0911
11811
25111
313511
430411
564611
6171611
done500011
01125
12425
28813
333813
4155411
done500011
0925
12625
210611
350911
4200811
done500011
01023
11723
24223
39523
415823
518623
619123
done19123
0911
11611
24111
39411
415811
518411
618711
done18711
01032
12732
211712
362212
4336911
done500011
0911
11611
24111
39411
415811
518411
618711
done18711
0911
11611
24111
39411
415811
518411
618711
done18711
078
1118
2248
3458
4638
5718
done718
0911
11611
24111
39611
415611
518411
618911
done18911
0911
11611
24111
39611
415611
518411
618911
done18911
0810
11510
24010
39310
415510
518310
618810
done18810
0911
11611
24111
39611
415611
518411
618911
done18911
0911
11611
24111
39611
415611
518411
618911
done18911
0810
11510
24010
39310
415510
518310
618810
done18810
01114
13414
210714
342914
4184714
done500014
01016
12716
28116
327516
482016
5151416
6229516
7350316
done500116
01016
12216
26516
319512
44529
57219
69239
79449
89679
910489
1013229
1124799
done50019
01016
12216
26516
319512
44529
57219
69239
79449
89679
910489
1013229
1124799
done50019
01016
12216
26516
319512
44529
57219
69239
79449
89679
910489
1013229
1124799
done50019
01016
12216
26516
319512
44529
57219
69239
79449
89679
910489
1013229
1124799
done50019
01016
12216
26516
319512
44529
57219
69239
79449
89679
910489
1013229
1124799
done50019
01016
12216
26516
319512
44529
57219
69239
79449
89679
910489
1013229
1124799
done50019
01321
12719
26315
39615
49715
done9715
01220
12718
26014
310614
412414
done12414
01219
12617
26617
315714
426814
529614
630114
done30114
01420
12520
25819
39615
410815
done10815
01319
12519
25718
310514
413314
done13314
01218
12418
26617
315614
426914
529714
630214
done30214
01117
12617
28217
325013
457510
587810
6110610
7113110
8115410
9123410
10153010
11270310
done500010
01117
12517
27917
326113
471210
5171010
6453110
done500110
01329
13129
211717
354215
4269013
done500013
01129
13329
213215
372213
4339813
done500113
01236
13436
215716
3101516
done500016
01643
14243
216421
391517
done500217
01443
14443
218019
3104815
done500015
01450
14350
219720
3126415
done500015
01235
12435
26735
319627
446521
574121
696421
797821
8100121
9109321
10138721
11256721
done500021
01117
12317
26517
319513
445510
569010
690410
791710
894010
9103210
10132510
11250710
done500010
01250
13450
217018
3101914
done500014
01117
12317
26517
319513
445510
569010
690410
791710
894010
9103210
10132510
11250710
done500010
01117
12317
26517
319513
445510
569010
690410
791710
894010
9103210
10132510
11250710
done500010
048
158
274
3121
4161
5221
6321
7551
81221
93331
1012721
done50001
0913
11913
25213
314413
429913
538713
642713
done42713
01320
14120
213220
352516
4268613
done500113
01222
13422
210622
340118
4163315
5426815
done500015
067
1107
2237
3377
4417
done417
089
1129
2199
done199
078
1148
2288
3428
4488
done488
078
1138
2378
3748
41448
53078
68518
729858
done50008
01023
12023
26411
321911
49779
543409
done50009
0817
11217
22517
33917
44317
done4317
078
1118
2248
3388
4448
done448
0823
12223
2829
33389
412499
546039
done50009
078
1118
2248
3388
4448
done448
078
1118
2248
3388
4448
done448
089
1129
2199
done199
089
1129
2199
done199
0811
11411
22911
36211
410211
514811
617211
done17211
078
1118
2248
3458
4638
5718
done718
077
1135
2295
3565
4955
51095
61175
done1175
078
1118
2188
done188
078
1118
2188
done188
067
1107
2237
3377
4417
done417
0911
12911
29011
332211
499411
5306211
done500011
0813
12213
26213
316113
431813
551013
675613
7129213
8444713
done500013
01115
12615
26912
314012
422810
525410
627610
733810
854710
9148710
done500010
01115
12615
26912
314012
422810
525410
627610
733810
854710
9148710
done500010
01115
12615
26912
314012
422810
525410
627610
733810
854710
9148710
done500010
089
1179
2409
3579
4797
5927
61147
71787
83947
913447
done50017
089
1179
2409
3579
4797
5927
61147
71787
83947
913447
done50017
089
1179
2409
3579
4797
5927
61147
71787
83947
913447
done50017
089
1179
2409
3579
4797
5927
61147
71787
83947
913447
done50017
089
1179
2409
3579
4797
5927
61147
71787
83947
913447
done50017
089
1179
2409
3579
4797
5927
61147
71787
83947
913447
done50017

prune145.0ms

Filtered
57 candidates to 82 candidates (-43.9%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New81182
Fresh235
Picked011
Done112
Total84690

Merged error: 0b

Counts
90 → 6

regimes40.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
187
done87

end0.0ms

sample562.0ms

Algorithm
intervals
Results
276.0ms9887×body80valid
37.0ms316×body1280valid
28.0ms302×body640valid
10.0ms133×body320valid
3.0ms51×body160valid

Profiling

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