Details

Time bar (total: 6.8min)

sample22.0ms

Algorithm
intervals
Results
7.0ms290×body80valid

simplify6.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
077
1137
2207
done207

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* (* x 3.0) y) z)
0.2b
(* (* x 3.0) y)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
add-log-exp
add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r* pow-prod-down prod-exp cbrt-unprod
sub-neg flip3-- diff-log associate-*l* *-commutative flip--
Counts
2 → 30
Calls
2 calls:
5.0ms
(- (* (* x 3.0) y) z)
6.0ms
(* (* x 3.0) y)

series12.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(- (* (* x 3.0) y) z)
4.0ms
(* (* x 3.0) y)

simplify38.4s

Counts
36 → 36
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
055
195
2155
done155
055
195
2155
done155
088
1128
2188
3208
done208
077
1127
2177
3217
done217
066
1136
2266
3386
4406
done406
066
1126
2296
3516
41076
52486
65866
715506
done50006
01117
12417
28911
332711
410729
529869
done50009
0917
12617
2939
33799
411617
521757
done50007
0713
11113
21713
done1713
066
1106
2166
done166
0717
12117
2917
34237
411387
516107
631987
done50007
066
1106
2166
done166
066
1106
2166
done166
079
1139
2269
3369
done369
066
1106
2166
3186
done186
055
1113
2233
3273
done273
033
143
done43
099
1178
2368
3638
41388
53648
610638
737158
done50008
088
1148
2218
done218
088
1178
2328
3538
41168
53128
69958
727488
done50008
0917
11517
22217
done2217
088
1148
2218
done218
0923
11623
2379
31289
45299
519279
done50009
088
1148
2218
done218
088
1148
2218
done218
01011
13211
210611
340211
4141111
5345211
done500111
01123
13121
29821
326217
436417
538317
done38317
022
done22
0915
12515
27715
321315
432815
551915
667915
7109915
8294415
done500015
077
1127
2187
done187
022
done22
055
195
2155
done155
055
195
2155
done155
055
195
2155
done155
077
1137
2207
done207
077
1137
2207
done207
077
1137
2207
done207

prune62.0ms

Filtered
25 candidates to 36 candidates (-44.0%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New31536
Fresh000
Picked011
Done000
Total31637

Merged error: 0.0b

Counts
37 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* 3.0 (* x y)) z)
0.3b
(* 3.0 (* x y))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
add-log-exp
add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down prod-exp cbrt-unprod
sub-neg flip3-- diff-log associate-*r* *-commutative flip--
Counts
2 → 30
Calls
2 calls:
5.0ms
(- (* 3.0 (* x y)) z)
5.0ms
(* 3.0 (* x y))

series12.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(- (* 3.0 (* x y)) z)
4.0ms
(* 3.0 (* x y))

simplify44.8s

Counts
36 → 36
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
055
195
2155
done155
055
195
2155
done155
088
1128
2188
3208
done208
077
1127
2177
3217
done217
066
1136
2266
3386
4406
done406
066
1126
2266
3516
41086
52456
66026
717896
done50006
01117
12417
29011
332811
410119
530679
done50009
0917
12617
2949
33759
410937
520487
648957
done50007
0713
11113
21713
done1713
066
1106
2166
done166
0717
12117
2927
34077
412107
516937
631427
done50007
066
1106
2166
done166
066
1106
2166
done166
033
143
done43
066
1106
2166
3186
done186
066
1106
2166
3186
done186
055
195
2155
done155
099
1178
2338
3638
41398
53638
610698
740108
done50008
088
1148
2218
done218
088
1178
2328
3558
41178
53088
69868
727148
done50008
0917
11517
22217
done2217
088
1148
2218
done218
0923
11623
2379
31289
45279
519309
done50019
088
1148
2218
done218
088
1148
2218
done218
01011
13211
210611
340311
4141611
5347211
done500111
01123
13121
29721
326317
436117
538517
done38517
022
done22
0915
12515
27715
321415
433415
553315
670915
7112915
8299415
done500015
077
1127
2187
done187
022
done22
055
195
2155
done155
055
195
2155
done155
055
195
2155
done155
077
1137
2207
done207
077
1137
2207
done207
077
1137
2207
done207

prune58.0ms

Filtered
24 candidates to 36 candidates (-50.0%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New34236
Fresh224
Picked011
Done011
Total36642

Merged error: 0.0b

Counts
42 → 6

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* x y))) z)
0.3b
(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* x y)))
0.4b
(* (cbrt 3.0) (* x y))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
29×pow1 add-exp-log
18×pow-prod-down prod-exp cbrt-unprod
17×add-cbrt-cube
associate-*l*
add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-log-exp
cbrt-prod
associate-*r* *-commutative
sub-neg flip3-- diff-log flip--
Counts
3 → 61
Calls
3 calls:
13.0ms
(- (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* x y))) z)
15.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* x y)))
6.0ms
(* (cbrt 3.0) (* x y))

series28.0ms

Counts
3 → 9
Calls
3 calls:
12.0ms
(- (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* x y))) z)
9.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* x y)))
6.0ms
(* (cbrt 3.0) (* x y))

simplify2.6min

Counts
70 → 70
Iterations

Useful iterations: 3 (4.0ms)

IterNodesCost
066
1106
2166
3186
done186
066
1106
2166
3186
done186
099
1139
2199
done199
088
1138
2188
3228
done228
077
1147
2277
3417
done417
077
1137
2277
3547
41117
52507
66137
718057
done50007
0913
11913
2659
31759
44127
57987
618717
done50007
0713
12113
2717
32057
43467
54517
68057
719957
done50007
0815
11215
21815
32015
done2015
077
1117
2177
done177
0820
12220
2938
34068
411117
515217
623637
done50007
077
1117
2177
done177
077
1117
2177
done177
044
154
done54
077
1117
2177
done177
077
1117
2177
done177
066
1106
2166
3186
done186
077
1117
2177
done177
077
1117
2177
done177
066
1106
2166
3186
done186
0812
11712
24012
3728
4795
5835
6895
7995
81225
91855
104035
1113285
done50005
0812
11712
24012
3728
4795
5835
6895
7995
81225
91855
104035
1113285
done50005
0812
11712
24012
3728
4795
5835
6895
7995
81225
91855
104035
1113285
done50005
0812
11712
24012
3728
4795
5835
6895
7995
81225
91855
104035
1113285
done50005
0812
11712
24012
3728
4795
5835
6895
7995
81225
91855
104035
1113285
done50005
0812
11712
24012
3728
4795
5835
6895
7995
81225
91855
104035
1113285
done50005
01117
12215
25011
38511
48611
done8611
01016
12214
24110
37310
49010
done9010
01015
12113
24213
37910
412410
done12410
01216
12016
24615
38411
49111
done9111
01115
12015
23914
37310
49410
done9410
01014
11914
24213
37710
412510
512610
done12610
0913
12113
25813
31299
42026
52136
62196
72296
82506
93096
105196
1114506
done50016
0913
12013
25513
31399
43106
57586
618746
done50006
01117
12617
29313
335711
410649
525059
done50009
0917
12817
29711
34009
411039
517207
635307
done50007
01024
12924
213312
379112
4385211
done500111
01431
13731
214217
372513
435539
done50019
01231
13931
214615
372411
435939
done50009
01238
13838
217416
3103311
done500011
01027
11927
24227
37819
48713
59113
69713
710713
813013
919113
1041013
11132813
done500113
0913
11813
24213
3759
4816
5856
6916
71016
81226
91826
103926
1113136
done50006
01038
12938
214514
386910
444417
done50007
0913
11813
24213
3759
4816
5856
6916
71016
81226
91826
103926
1113136
done50006
0913
11813
24213
3759
4816
5856
6916
71016
81226
91826
103926
1113136
done50006
048
158
274
3121
4161
5221
6321
7551
81221
93331
1012721
done50001
079
1149
2289
3409
done409
01216
12515
26115
315211
43438
59068
625148
done50008
01115
12215
24715
38111
4878
5918
6978
71078
81308
91918
104078
1113238
done50008
01115
12515
25915
313311
42888
57538
622378
done50008
01231
12331
24731
38123
48717
59117
69717
710717
813017
919117
1040717
11133017
done500017
01115
12215
24715
38111
4878
5918
6978
71078
81308
91918
104078
1113238
done50008
01244
12444
26316
321312
410959
done50019
01115
12215
24715
38111
4878
5918
6978
71078
81308
91918
104078
1113238
done50008
01115
12215
24715
38111
4878
5918
6978
71078
81308
91918
104078
1113238
done50008
01318
14018
214818
376611
4438611
done500011
01444
13942
215142
364123
4173017
5214717
6233417
7285317
done500017
022
done22
01229
13329
212329
351521
4153815
5239015
6319315
7491315
done500015
01014
12014
24414
37810
4877
5917
6977
71077
81307
91917
104107
1113297
done50007
022
done22
066
1106
2166
3186
done186
066
1106
2166
3186
done186
066
1106
2166
3186
done186
055
195
2155
done155
055
195
2155
done155
055
195
2155
done155
077
1137
2207
done207
077
1137
2207
done207
077
1137
2207
done207

prune118.0ms

Filtered
47 candidates to 70 candidates (-48.9%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New68270
Fresh123
Picked101
Done022
Total70676

Merged error: 0.0b

Counts
76 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* (* (cbrt 3.0) (cbrt 3.0)) (* (* (cbrt 3.0) x) y)) z)
0.2b
(* (* (cbrt 3.0) x) y)
0.3b
(* (* (cbrt 3.0) (cbrt 3.0)) (* (* (cbrt 3.0) x) y))
0.3b
(* (cbrt 3.0) x)

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
32×pow1 add-exp-log
22×add-cbrt-cube
19×pow-prod-down prod-exp cbrt-unprod
12×add-sqr-sqrt
add-cube-cbrt *-un-lft-identity associate-*l*
associate-*r*
add-log-exp
cbrt-prod
*-commutative
unswap-sqr
sub-neg flip3-- diff-log flip--
Counts
4 → 80
Calls
4 calls:
12.0ms
(- (* (* (cbrt 3.0) (cbrt 3.0)) (* (* (cbrt 3.0) x) y)) z)
6.0ms
(* (* (cbrt 3.0) x) y)
14.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (* (cbrt 3.0) x) y))
10.0ms
(* (cbrt 3.0) x)

series36.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(- (* (* (cbrt 3.0) (cbrt 3.0)) (* (* (cbrt 3.0) x) y)) z)
7.0ms
(* (* (cbrt 3.0) x) y)
10.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (* (cbrt 3.0) x) y))
6.0ms
(* (cbrt 3.0) x)

simplify2.8min

Counts
92 → 92
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
044
154
done54
066
176
done76
055
195
2105
done105
055
185
2145
3225
4455
51015
62405
76945
824305
done50005
057
197
2185
3245
4345
5525
61015
72415
87685
930685
done50005
0611
1711
done711
055
165
done65
0614
11714
2466
3896
41055
51335
62045
74145
810985
937935
done50005
055
165
done65
055
165
done65
066
176
done76
066
176
done76
066
176
done76
066
176
done76
068
198
2118
done118
055
165
done65
044
172
2102
done102
055
165
done65
055
165
done65
044
154
done54
055
165
done65
055
165
done65
044
154
done54
0812
11712
24312
37412
4788
5835
6875
7935
81035
91245
101845
113915
1213335
done50005
0812
11712
24312
37412
4788
5835
6875
7935
81035
91245
101845
113915
1213335
done50005
0812
11712
24312
37412
4788
5835
6875
7935
81035
91245
101845
113915
1213335
done50005
0812
11712
24312
37412
4788
5835
6875
7935
81035
91245
101845
113915
1213335
done50005
0812
11712
24312
37412
4788
5835
6875
7935
81035
91245
101845
113915
1213335
done50005
0812
11712
24312
37412
4788
5835
6875
7935
81035
91245
101845
113915
1213335
done50005
01117
12215
24915
38311
48711
done8711
01116
12214
24314
38011
48911
done8911
01015
12213
24313
37813
411310
511810
done11810
01216
12016
24715
38811
49211
done9211
01115
12015
24114
38111
49011
done9011
01014
12014
24213
38113
412610
513110
done13110
0913
12113
26013
313513
42169
52256
62296
72356
82456
92666
103256
115366
1214536
done50006
0913
12013
25713
313913
43139
57826
619406
done50006
01117
12617
29713
338113
4114511
526359
done50009
01224
13424
213514
372614
4353512
done500112
01024
12924
213212
380812
4376811
done500011
01431
13731
214217
377313
4369511
done500011
01438
14338
217518
3107613
done500113
01238
13938
217616
3111511
done500111
01027
11927
24527
37927
48219
58713
69113
79713
810713
913013
1019313
1140313
12133213
done500013
0913
11813
24413
37613
4799
5846
6886
7946
81046
91256
101816
113966
1213426
done50006
01038
12938
215014
396210
448547
done50007
0913
11813
24413
37613
4799
5846
6886
7946
81046
91256
101816
113966
1213426
done50006
0913
11813
24413
37613
4799
5846
6886
7946
81046
91256
101816
113966
1213426
done50006
0610
11210
21910
3226
4273
5313
6373
7473
8703
91313
103453
1112713
done50003
079
1149
2279
3419
4429
done429
066
1106
2166
3186
done186
066
1106
2166
3186
done186
099
1139
2199
done199
088
1138
2188
3228
done228
077
1147
2277
3417
done417
077
1137
2307
3547
41107
52497
65907
715617
done50017
0913
11913
2589
31739
43899
57227
617787
done50007
01020
12720
29410
338310
411418
520607
642397
done50007
0815
11215
21815
32015
done2015
077
1117
2177
done177
0820
12220
2928
34298
411287
515287
625797
done50017
077
1117
2177
done177
077
1117
2177
done177
0810
11410
22710
33710
done3710
077
1117
2177
done177
066
1124
2244
3304
done304
033
143
done43
01216
12515
26415
315515
435311
59358
625898
done50018
01115
12215
24915
37915
48211
5878
6918
7978
81078
91308
101918
114008
1213408
done50008
01115
12515
26215
313815
429611
57768
623208
done50018
01231
12331
25031
37831
48423
58917
69317
79917
810917
913017
1019017
1140417
12134917
done500117
01115
12215
24915
37915
48211
5878
6918
7978
81078
91308
101918
114008
1213408
done50008
01244
12444
26516
321416
4108612
done500112
01115
12215
24915
37915
48211
5878
6918
7978
81078
91308
101918
114008
1213408
done50008
01115
12215
24915
37915
48211
5878
6918
7978
81078
91308
101918
114008
1213408
done50008
01318
14018
215018
380911
4465611
done500011
01444
13942
215542
370623
4176617
5212317
6227117
7267117
done500017
022
done22
01229
13329
212729
357821
4156815
5233315
6303015
7462715
done500015
01014
12014
24614
37514
47810
5837
6877
7937
81037
91247
101847
113987
1213177
done50007
022
done22
044
154
done54
044
154
done54
044
154
done54
055
195
2155
done155
055
195
2155
done155
055
195
2155
done155
066
1106
2166
3186
done186
066
1106
2166
3186
done186
066
1106
2166
3186
done186
077
1137
2207
done207
077
1137
2207
done207
077
1137
2207
done207

prune145.0ms

Filtered
64 candidates to 92 candidates (-43.8%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New92092
Fresh033
Picked011
Done022
Total92698

Merged error: 0.0b

Counts
98 → 6

regimes334.0ms

Accuracy

0% (0.1b 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
077
197
done97

end0.0ms

sample636.0ms

Algorithm
intervals
Results
260.0ms9163×body80valid

Profiling

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