Details

Time bar (total: 4.9min)

sample43.0ms

Algorithm
intervals
Results
26.0ms483×body80valid

simplify2.9s

Counts
1 → 1
Iterations

Useful iterations: 5 (196.0ms)

IterNodesCost
01119
12019
25317
313417
432012
566911
6161911
done500011

prune9.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 2

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (* x.re x.im) x.im)
0.2b
(* 3 (* (* x.re x.im) x.im))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1 add-exp-log add-cbrt-cube
pow-prod-down prod-exp cbrt-unprod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r* associate-*l*
*-commutative add-log-exp
Counts
2 → 39
Calls
2 calls:
6.0ms
(* (* x.re x.im) x.im)
7.0ms
(* 3 (* (* x.re x.im) x.im))

series20.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(* (* x.re x.im) x.im)
12.0ms
(* 3 (* (* x.re x.im) x.im))

simplify1.1min

Counts
45 → 45
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
067
1137
2267
3387
4397
done397
067
1137
2267
3387
4397
done397
067
1137
2267
3387
4397
done397
0911
11611
23110
34210
44310
done4310
0910
11610
22710
34110
44710
done4710
089
1169
2279
3459
4549
5559
done559
078
1178
2408
3788
41048
51058
done1058
078
1168
2378
3918
42008
55478
617888
done50018
01223
13219
212213
35129
419129
done50009
01223
13619
213311
359711
421339
done50009
01023
13119
21179
35029
417549
541609
done50009
0817
11517
22817
34017
44117
done4117
078
1148
2278
3388
4398
done398
0823
12621
21139
36149
424719
547489
done50009
078
1148
2278
3388
4398
done398
078
1148
2278
3388
4398
done398
055
195
2155
done155
078
1148
2278
3378
done378
078
1148
2278
3378
done378
067
1137
2267
3387
4397
done397
045
185
295
done95
045
185
295
done95
068
1108
2137
3147
done147
067
1107
2137
3167
4177
done177
056
1126
2196
3236
4256
5266
done266
056
1116
2226
3406
4846
51946
64756
713036
done50006
0817
12017
27711
32197
44547
512017
640187
done50017
0817
12417
2899
32709
44517
510257
630817
done50017
0613
11013
21113
done1113
056
196
2106
done106
0617
11917
2727
32117
43617
55327
613557
744897
done50007
056
196
2106
done106
056
196
2106
done106
069
1129
2259
3379
done379
056
196
2156
done156
055
1113
2233
3273
done273
023
done23
077
1167
2427
3617
4697
5797
61007
71657
83767
913237
done50007
077
1167
2427
3617
4697
5797
61007
71657
83767
913237
done50007
077
1167
2427
3617
4697
5797
61007
71657
83767
913237
done50007
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

prune94.0ms

Filtered
33 candidates to 45 candidates (-36.4%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New39645
Fresh101
Picked011
Done000
Total40747

Merged error: 0.0b

Counts
47 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (* 3 (* x.re x.im)) x.im)
0.2b
(* 3 (* x.re x.im))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1 add-exp-log add-cbrt-cube
pow-prod-down prod-exp cbrt-unprod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r* associate-*l*
*-commutative add-log-exp
Counts
2 → 39
Calls
2 calls:
8.0ms
(* (* 3 (* x.re x.im)) x.im)
6.0ms
(* 3 (* x.re x.im))

series13.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(* (* 3 (* x.re x.im)) x.im)
4.0ms
(* 3 (* x.re x.im))

simplify1.0min

Counts
45 → 45
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
2266
3556
41206
52926
67726
726676
done50006
01117
12613
2819
32609
47857
520177
648467
done50007
0917
12813
2857
33017
47827
514277
623957
done50017
0713
11113
21713
done1713
066
1106
2166
done166
0717
12215
2907
33997
411027
514587
622457
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
067
1137
2267
3387
4407
done407
067
1137
2267
3387
4407
done407
067
1137
2267
3387
4407
done407
0911
11611
22911
34310
44610
done4610
0910
11610
22810
34410
44910
done4910
089
1169
2329
3519
4669
5679
done679
078
1178
2398
3808
41098
51128
done1128
078
1168
2428
3938
42048
54918
613098
745478
done50008
01223
13219
212013
35359
422059
done50019
01223
13619
213111
362711
4238411
done500011
01023
13121
213811
381811
435789
done50009
0817
11517
22817
34017
44217
done4217
078
1148
2278
3418
4438
done438
0823
12523
21129
36399
425589
done50009
078
1148
2278
3418
4438
done438
078
1148
2278
3418
4438
done438
0811
11711
24511
310911
414911
done14911
078
1148
2338
3598
4618
done618
077
1165
2415
3685
done685
045
185
295
done95
055
195
2155
done155
055
195
2155
done155
055
195
2155
done155
077
1167
2427
3617
4697
5797
61007
71657
83767
913237
done50007
077
1167
2427
3617
4697
5797
61007
71657
83767
913237
done50007
077
1167
2427
3617
4697
5797
61007
71657
83767
913237
done50007

prune80.0ms

Filtered
33 candidates to 45 candidates (-36.4%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New43245
Fresh325
Picked011
Done011
Total46652

Merged error: 0.0b

Counts
52 → 6

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (* (* 3 x.re) x.im) x.im)
0.2b
(* (* 3 x.re) x.im)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1 add-exp-log add-cbrt-cube
pow-prod-down prod-exp cbrt-unprod
associate-*r*
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
associate-*l* *-commutative add-log-exp
Counts
2 → 39
Calls
2 calls:
8.0ms
(* (* (* 3 x.re) x.im) x.im)
6.0ms
(* (* 3 x.re) x.im)

series13.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(* (* (* 3 x.re) x.im) x.im)
4.0ms
(* (* 3 x.re) x.im)

simplify1.0min

Counts
45 → 45
Iterations

Useful iterations: 1 (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
3556
41186
52626
66166
717566
done50006
01117
12613
2769
32509
47259
518797
646437
done50007
0917
12715
2919
33749
411017
520667
642067
done50007
0713
11113
21713
done1713
066
1106
2166
done166
0717
12117
2917
34217
411487
515927
626117
done50007
066
1106
2166
done166
066
1106
2166
done166
079
1139
2269
3369
done369
066
1106
2166
3186
done186
055
1113
2233
done233
033
143
done43
067
1137
2277
3397
4407
done407
067
1137
2277
3397
4407
done407
067
1137
2277
3397
4407
done407
0911
11611
23210
34710
44810
done4810
0810
11610
2269
3429
4469
done469
089
1159
2309
3529
4719
done719
078
1178
2408
3748
41008
51018
done1018
078
1168
2428
3868
41858
54338
610558
732618
done50008
01223
13219
211813
34799
417579
done50009
01023
13321
213113
36859
426929
done50009
01023
12923
213711
380011
432549
done50019
0817
11517
22917
34117
done4117
078
1148
2288
3408
4418
done418
0823
12423
21039
35499
424089
done50009
078
1148
2288
3408
4418
done418
078
1148
2288
3408
4418
done418
0811
11711
24611
311011
415311
done15311
078
1148
2348
3578
4588
done588
077
1165
2425
3605
4725
done725
023
done23
055
195
2155
done155
055
195
2155
done155
055
195
2155
done155
077
1167
2427
3617
4697
5797
61007
71657
83767
913237
done50007
077
1167
2427
3617
4697
5797
61007
71657
83767
913237
done50007
077
1167
2427
3617
4697
5797
61007
71657
83767
913237
done50007

prune73.0ms

Filtered
32 candidates to 45 candidates (-40.6%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New45045
Fresh033
Picked011
Done022
Total45651

Merged error: 0.0b

Counts
51 → 6

localize10.0ms

Local error

Found 3 expressions with local error:

0.2b
(* (* x.re x.im) x.im)
0.2b
(* (sqrt 3) (* (sqrt 3) (* (* x.re x.im) x.im)))
0.2b
(* (sqrt 3) (* (* x.re x.im) x.im))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
31×pow1 add-exp-log add-cbrt-cube
19×pow-prod-down prod-exp cbrt-unprod
13×associate-*l*
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
sqrt-prod
associate-*r*
*-commutative add-log-exp
Counts
3 → 69
Calls
3 calls:
6.0ms
(* (* x.re x.im) x.im)
13.0ms
(* (sqrt 3) (* (sqrt 3) (* (* x.re x.im) x.im)))
9.0ms
(* (sqrt 3) (* (* x.re x.im) x.im))

series38.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(* (* x.re x.im) x.im)
14.0ms
(* (sqrt 3) (* (sqrt 3) (* (* x.re x.im) x.im)))
16.0ms
(* (sqrt 3) (* (* x.re x.im) x.im))

simplify1.7min

Counts
78 → 78
Iterations

Useful iterations: done (1.0ms)

IterNodesCost
078
1148
2278
3378
done378
078
1148
2278
3378
done378
078
1148
2278
3378
done378
01012
11712
23211
34511
done4511
01011
11711
22811
34411
45011
done5011
0910
11710
22810
34610
45610
55710
done5710
089
1189
2419
3769
41019
51039
done1039
089
1179
2389
3859
41839
54399
610909
732349
done50009
01326
13122
212816
358212
4233712
done500112
01326
13522
213914
369214
4272512
done500012
01126
13022
212112
358012
4214012
5426912
done500012
0919
11619
22919
33919
done3919
089
1159
2289
3379
done379
0926
12626
211510
363810
4262710
done500110
089
1159
2289
3379
done379
089
1159
2289
3379
done379
066
1106
2166
3186
done186
089
1159
2289
3379
done379
089
1159
2289
3379
done379
089
1159
2289
3379
done379
078
1148
2278
3378
done378
089
1159
2289
3379
done379
078
1148
2278
3378
done378
0811
11811
2417
3817
41007
done1007
0811
11811
2417
3817
41007
done1007
0811
11811
2417
3817
41007
done1007
0811
11811
2417
3817
41007
done1007
01116
12116
24713
38613
410111
510211
done10211
01115
12115
24213
38013
410611
510711
done10711
01014
12114
23712
37212
410812
511911
612011
done12011
01013
12013
24513
39212
415912
517810
617910
done17910
0912
12212
2548
31268
42368
52788
62808
72818
done2818
0912
12112
2528
31438
43538
59128
623658
done50008
01435
13727
217115
38919
446409
done50009
01435
14127
218311
3100311
done500011
01235
13627
216411
38459
443059
done50009
01235
13427
215715
398715
done500115
01025
12025
24317
38317
410017
done10017
0912
11912
2428
3808
4978
done978
01035
12935
21199
37319
444709
done50009
0912
11912
2428
3808
4978
done978
0912
11912
2428
3808
4978
done978
035
done31
0912
11912
24812
311012
415212
515412
done15412
01012
12012
24912
311412
416112
516312
done16312
0912
11912
24812
311012
415212
515412
done15412
0811
11811
2417
3817
41007
done1007
0912
11912
24812
311012
415212
515412
done15412
0811
11811
2417
3817
41007
done1007
045
185
295
done95
045
185
295
done95
068
1108
2137
3147
done147
067
1107
2137
3167
4177
done177
056
1126
2196
3236
4256
5266
done266
056
1116
2226
3406
4846
51946
64756
713036
done50006
0817
12017
27711
32197
44547
512017
640187
done50017
0817
12417
2899
32709
44517
510257
630817
done50017
0613
11013
21113
done1113
056
196
2106
done106
0617
11917
2727
32117
43617
55327
613557
744897
done50007
056
196
2106
done106
056
196
2106
done106
069
1129
2259
3379
done379
056
196
2156
done156
055
1113
2233
3273
done273
023
done23
088
1178
2438
3628
4708
5808
61018
71608
83788
913018
done50008
088
1178
2438
3628
4708
5808
61018
71608
83788
913018
done50008
088
1178
2438
3628
4708
5808
61018
71608
83788
913018
done50008
0910
12110
2787
31477
43287
59717
632747
done50017
0910
12110
2787
31477
43287
59717
632747
done50017
0910
12110
2787
31477
43287
59717
632747
done50017
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

prune135.0ms

Filtered
59 candidates to 78 candidates (-32.2%)
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New78078
Fresh022
Picked011
Done033
Total78684

Merged error: 0.0b

Counts
84 → 6

regimes97.0ms

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
0811
11111
done1111

end0.0ms

sample1.3s

Algorithm
intervals
Results
815.0ms14350×body80valid

Profiling

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