Details

Time bar (total: 5.3min)

sample61.0ms

Algorithm
intervals
Results
14.0ms256×body80valid
12.0ms263×body80nan

simplify145.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
078
1148
2258
3418
4508
5588
6788
71098
81258
91358
101428
111448
121468
done1468

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

localize8.0ms

Local error

Found 1 expressions with local error:

0.3b
(* x (log y))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
log-prod
add-cube-cbrt *-un-lft-identity
pow1 associate-*r*
add-exp-log distribute-rgt-in distribute-lft-in associate-*l* add-cbrt-cube
pow-prod-down prod-exp log-pow *-commutative cbrt-unprod add-log-exp unswap-sqr
Counts
1 → 25
Calls
1 calls:
5.0ms
(* x (log y))

series10.0ms

Counts
1 → 3
Calls
1 calls:
10.0ms
(* x (log y))

simplify15.5s

Counts
28 → 28
Iterations

Useful iterations: done (2.0ms)

IterNodesCost
044
154
done54
066
176
done76
055
195
2105
done105
055
185
2153
3253
4483
51043
62453
77073
826863
done50003
0814
11514
2408
3798
41376
52596
66546
724576
done50016
0611
1711
done711
055
165
done65
0614
11714
2466
3896
41056
51516
62836
77356
826976
done50006
055
165
done65
055
165
done65
066
176
done76
066
176
done76
068
198
2157
3217
4257
done257
055
165
done65
055
165
done65
055
165
done65
044
173
done71
044
154
done54
068
198
2157
3217
4257
done257
055
165
done65
055
165
done65
055
165
done65
044
173
done71
044
154
done54
033
161
done61
069
199
2119
done119
055
165
done65
033
161
done61
055
165
done65
055
165
done65
044
154
done54
077
1176
2184
3234
done234
089
1167
2264
3454
4534
5704
61054
done1054
089
1139
2249
3436
4674
51884
69744
723184
done50014

prune54.0ms

Filtered
20 candidates to 28 candidates (-40.0%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New24428
Fresh000
Picked011
Done000
Total24529

Merged error: 0.0b

Counts
29 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b
(* x (log (cbrt y)))
0.3b
(* (* 2 (log (cbrt y))) x)
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×add-cube-cbrt *-un-lft-identity
12×pow1 cbrt-prod log-prod
11×add-exp-log add-cbrt-cube
associate-*r*
distribute-rgt-in distribute-lft-in
associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
pow1/3
log-pow *-commutative
unswap-sqr
Counts
4 → 72
Calls
4 calls:
6.0ms
(* x (log (cbrt y)))
7.0ms
(* (* 2 (log (cbrt y))) x)
2.0ms
(cbrt y)
2.0ms
(cbrt y)

series109.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(* x (log (cbrt y)))
33.0ms
(* (* 2 (log (cbrt y))) x)
25.0ms
(cbrt y)
27.0ms
(cbrt y)

simplify1.1min

Counts
84 → 84
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
033
done33
033
done33
046
done46
033
done33
033
done33
033
done33
022
141
done41
022
done22
047
done47
033
done33
048
158
274
3121
4161
5221
6321
7551
81221
93331
1012721
done50001
033
done33
033
done33
033
done33
033
done33
046
done46
033
done33
033
done33
033
done33
022
141
done41
022
done22
047
done47
033
done33
048
158
274
3121
4161
5221
6321
7551
81221
93331
1012721
done50001
033
done33
033
done33
077
1117
2177
done177
077
1117
2177
done177
01010
11410
22010
32210
done2210
099
1149
2199
3239
done239
088
1158
2288
3408
4428
done428
088
1148
2326
3606
41196
52426
66856
726516
done50006
01323
12819
27911
325311
475011
519859
648999
done50009
01123
12921
29411
336611
411259
520769
641669
done50019
0917
11317
21917
done1917
088
1128
2188
done188
0923
12323
2949
34279
411789
515869
625979
done50009
088
1128
2188
done188
088
1128
2188
done188
0911
11511
22811
34011
done4011
088
1128
2188
3208
done208
077
1135
2255
done255
055
165
done65
055
165
done65
077
187
done87
066
1106
2116
done116
066
196
2164
3264
4494
51074
62454
77014
827174
done50014
0917
11617
2419
3789
41387
52687
66717
724797
done50007
0713
1813
done813
066
176
done76
0717
11817
2477
3897
41057
51517
62917
77537
827137
done50007
066
176
done76
066
176
done76
077
187
done87
077
187
done87
079
189
done89
066
176
done76
066
176
done76
066
176
done76
055
184
done84
055
165
done65
0710
11010
2168
3228
4268
done268
066
176
done76
066
176
done76
066
176
done76
044
173
done71
055
165
done65
079
189
done89
066
176
done76
066
176
done76
066
176
done76
055
184
done84
055
165
done65
0710
11010
2168
3228
4268
done268
066
176
done76
066
176
done76
066
176
done76
044
173
done71
055
165
done65
033
143
done43
033
161
done61
0711
11011
21211
done1211
066
176
done76
033
161
done61
066
176
done76
066
176
done76
055
165
done65
088
1207
2285
3502
4872
51742
63602
79112
830822
done50002
0910
1198
2355
3722
41262
52642
65682
716352
done50002
01213
12312
24011
39510
42279
55467
612046
734602
done50002
088
1207
2285
3502
4872
51742
63602
79112
830822
done50002
0910
1198
2355
3722
41262
52642
65682
716352
done50002
01213
12312
24011
39510
42279
55467
612046
734602
done50002
01011
1188
2326
3506
4526
done526
01011
1219
2436
3856
41146
51816
62336
done2336
01718
13517
27215
318515
456314
5157212
6472011
done500011
099
1228
2436
3536
done536
01011
1219
2436
3856
41146
51816
62336
done2336
01516
13015
25613
313713
438412
5103210
626169
done50009

prune113.0ms

Filtered
65 candidates to 84 candidates (-29.2%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New83184
Fresh123
Picked011
Done011
Total84589

Merged error: 0.0b

Counts
89 → 5

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b
(* x (log (cbrt y)))
0.3b
(* (* 2 (log (pow y 1/3))) x)
0.6b
(cbrt y)
5.0b
(pow y 1/3)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
14×add-cube-cbrt *-un-lft-identity
13×pow1
12×add-exp-log log-prod
11×add-cbrt-cube
cbrt-prod
associate-*r*
distribute-rgt-in distribute-lft-in
associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
unpow-prod-down pow-unpow
pow1/3 log-pow *-commutative
pow-to-exp pow-pow unpow1/3 pow-exp unswap-sqr sqr-pow
Counts
4 → 79
Calls
4 calls:
6.0ms
(* x (log (cbrt y)))
6.0ms
(* (* 2 (log (pow y 1/3))) x)
2.0ms
(cbrt y)
3.0ms
(pow y 1/3)

series102.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(* x (log (cbrt y)))
22.0ms
(* (* 2 (log (pow y 1/3))) x)
26.0ms
(cbrt y)
28.0ms
(pow y 1/3)

simplify2.3min

Counts
91 → 91
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
044
154
done54
044
154
done54
033
161
done61
057
197
2167
3407
4977
52547
68657
732797
done50007
044
184
2134
3314
4714
51754
65524
721534
done50004
033
1101
2151
3211
4311
5551
61141
73241
812551
done50001
057
1116
2176
3276
4516
51116
63256
712546
done50006
044
1103
2163
3263
4503
51113
63243
712513
done50003
044
1103
2163
3263
4503
51113
63243
712513
done50003
044
1103
2163
3263
4503
51113
63243
712513
done50003
033
1111
done111
033
192
2152
3252
4492
51142
63372
712732
done50002
044
1123
2213
3353
4783
51973
65723
721083
done50013
044
1103
2183
3333
4723
51943
66593
730133
done50003
059
1117
2177
3277
4517
51167
63307
712627
done50007
044
1103
2163
3263
4503
51153
63363
712543
done50003
0511
1156
2364
3741
41741
55541
625111
done50001
044
1103
2173
3273
4513
51143
63313
712553
done50003
044
1103
2173
3273
4513
51143
63313
712553
done50003
055
1103
2163
3263
4483
51103
63263
712493
done50003
055
1103
2163
3263
4483
51103
63263
712493
done50003
033
done33
033
done33
046
done46
033
done33
033
done33
033
done33
022
141
done41
022
done22
047
done47
033
done33
048
158
274
3121
4161
5221
6321
7551
81221
93331
1012721
done50001
033
done33
033
done33
088
1197
2416
3936
41836
54766
614276
done50006
088
1197
2416
3936
41836
54766
614276
done50006
01111
12210
24010
36710
413010
527410
670810
7236110
done500010
01010
1229
2448
3838
41708
53878
611038
739108
done50008
099
1238
2527
31267
42757
56327
616917
done50007
099
1228
2566
31456
43715
512165
done50005
01426
13619
211011
349811
4302210
done500010
01226
13721
213010
367210
442478
done50008
01019
12117
24315
39515
418415
547915
6141815
done500015
099
1208
2427
3947
41847
54787
614347
done50007
01026
13123
21188
36768
444458
done50008
099
1208
2427
3947
41847
54787
614347
done50007
099
1208
2427
3947
41847
54787
614347
done50007
01012
12311
25210
313010
428410
570710
6213610
done500010
099
1208
2427
3967
41887
54857
614267
done50017
088
1215
2494
3924
41624
53804
611274
739624
done50014
066
1155
2285
3505
41055
52835
68005
727335
done50005
055
165
done65
077
187
done87
066
1106
2116
done116
066
196
2164
3264
4494
51074
62454
77014
827174
done50014
0917
11617
2419
3789
41387
52687
66717
724797
done50007
0713
1813
done813
066
176
done76
0717
11817
2477
3897
41057
51517
62917
77537
827137
done50007
066
176
done76
066
176
done76
077
187
done87
077
187
done87
079
189
done89
066
176
done76
066
176
done76
066
176
done76
055
184
done84
055
165
done65
0710
11010
2168
3228
4268
done268
066
176
done76
066
176
done76
066
176
done76
044
173
done71
055
165
done65
079
189
done89
066
176
done76
066
176
done76
066
176
done76
055
184
done84
055
165
done65
0710
11010
2168
3228
4268
done268
066
176
done76
066
176
done76
066
176
done76
044
173
done71
055
165
done65
033
143
done43
033
161
done61
0711
11011
21211
done1211
066
176
done76
033
161
done61
066
176
done76
066
176
done76
055
165
done65
088
1207
2285
3502
4872
51742
63602
79112
830822
done50002
0910
1198
2355
3722
41262
52642
65682
716352
done50002
0910
11610
23310
3786
41522
54312
618712
done50002
088
1207
2285
3502
4872
51742
63602
79112
830822
done50002
0910
1198
2355
3722
41262
52642
65682
716352
done50002
01213
12312
24011
39510
42279
55467
612046
734602
done50002
01011
1188
2326
3506
4526
done526
01011
1219
2436
3856
41146
51816
62336
done2336
01011
11811
24111
3958
41576
53826
617086
739756
done50006
099
1228
2436
3536
done536
01011
1219
2436
3856
41146
51816
62336
done2336
01516
13015
25613
313713
438412
5103210
626169
done50009

prune143.0ms

Filtered
71 candidates to 91 candidates (-28.2%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New90191
Fresh112
Picked011
Done022
Total91596

Merged error: 0b

Counts
96 → 5

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
5.0b
(pow y 1/3)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 add-exp-log
add-cbrt-cube add-log-exp
unpow-prod-down pow-unpow pow1/3
pow-to-exp pow-pow unpow1/3 pow-exp sqr-pow
Counts
4 → 51
Calls
4 calls:
2.0ms
(cbrt x)
4.0ms
(cbrt x)
2.0ms
(cbrt x)
3.0ms
(pow y 1/3)

series106.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(cbrt x)
26.0ms
(cbrt x)
27.0ms
(cbrt x)
23.0ms
(pow y 1/3)

simplify1.6min

Counts
63 → 63
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
044
154
done54
044
154
done54
033
161
done61
057
197
2167
3407
4977
52547
68657
732797
done50007
044
184
2134
3314
4714
51754
65524
721534
done50004
033
1101
2151
3211
4311
5551
61141
73241
812551
done50001
057
1116
2176
3276
4516
51116
63256
712546
done50006
044
1103
2163
3263
4503
51113
63243
712513
done50003
044
1103
2163
3263
4503
51113
63243
712513
done50003
044
1103
2163
3263
4503
51113
63243
712513
done50003
033
1111
done111
033
192
2152
3252
4492
51142
63372
712732
done50002
044
1123
2213
3353
4783
51973
65723
721083
done50013
044
1103
2183
3333
4723
51943
66593
730133
done50003
059
1117
2177
3277
4517
51167
63307
712627
done50007
044
1103
2163
3263
4503
51153
63363
712543
done50003
0511
1156
2364
3741
41741
55541
625111
done50001
044
1103
2173
3273
4513
51143
63313
712553
done50003
044
1103
2173
3273
4513
51143
63313
712553
done50003
055
1103
2163
3263
4483
51103
63263
712493
done50003
055
1103
2163
3263
4483
51103
63263
712493
done50003
033
done33
033
done33
046
done46
033
done33
033
done33
033
done33
022
141
done41
022
done22
047
done47
033
done33
048
158
274
3121
4161
5221
6321
7551
81221
93331
1012721
done50001
033
done33
033
done33
033
done33
033
done33
046
done46
033
done33
033
done33
033
done33
022
141
done41
022
done22
047
done47
033
done33
048
158
274
3121
4161
5221
6321
7551
81221
93331
1012721
done50001
033
done33
033
done33
033
done33
033
done33
046
done46
033
done33
033
done33
033
done33
022
141
done41
022
done22
047
done47
033
done33
048
158
274
3121
4161
5221
6321
7551
81221
93331
1012721
done50001
033
done33
033
done33
088
1207
2285
3502
4872
51742
63602
79112
830822
done50002
0910
1198
2355
3722
41262
52642
65682
716352
done50002
0910
11610
23310
3786
41522
54312
618712
done50002
088
1207
2285
3502
4872
51712
63532
79042
830782
done50002
0910
1198
2355
3722
41262
52642
65682
716352
done50002
01213
12312
24011
39510
42279
55467
612046
734602
done50002
088
1207
2285
3502
4872
51712
63532
79042
830782
done50002
0910
1198
2355
3722
41262
52642
65682
716352
done50002
01213
12312
24011
39510
42279
55467
612046
734602
done50002
088
1207
2285
3502
4872
51712
63532
79042
830782
done50002
0910
1198
2355
3722
41262
52642
65682
716352
done50002
01213
12312
24011
39510
42279
55467
612046
734602
done50002

prune82.0ms

Filtered
41 candidates to 63 candidates (-53.7%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New63063
Fresh011
Picked011
Done033
Total63568

Merged error: 0b

Counts
68 → 5

regimes251.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
188
done88

end0.0ms

sample1.3s

Algorithm
intervals
Results
334.0ms8026×body80valid
253.0ms8327×body80nan
0.0msbody1280valid
0.0msbody320valid

Profiling

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