Details

Time bar (total: 9.1min)

sample31.0ms

Algorithm
intervals
Results
13.0ms393×body80valid

simplify33.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (8.0ms)

IterNodesCost
0815
11515
22513
3389
4469
5479
done479

prune7.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 0.1b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x y) (* 3 (* z z)))
0.2b
(* 3 (* z z))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
add-sqr-sqrt add-log-exp
add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down prod-exp cbrt-unprod
+-commutative flip3-+ associate-*r* sum-log *-commutative flip-+ unswap-sqr
Counts
2 → 30
Calls
2 calls:
4.0ms
(+ (* x y) (* 3 (* z z)))
6.0ms
(* 3 (* z z))

series18.0ms

Counts
2 → 6
Calls
2 calls:
13.0ms
(+ (* x y) (* 3 (* z z)))
4.0ms
(* 3 (* z z))

simplify54.0s

Counts
36 → 36
Iterations

Useful iterations: 0 (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
3426
4916
52056
64996
714806
done50006
0817
12313
2649
31505
43075
57675
620805
done50005
0817
12413
2607
31455
43135
58085
622065
done50005
0613
1913
21113
done1113
056
186
2106
done106
0617
12015
2687
32247
43397
54615
610925
730545
done50015
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
01011
12110
23710
37910
425610
596910
6479210
done500010
0910
11410
21610
done1610
0910
11710
23010
35510
415110
553610
6219410
done500110
01021
11521
21721
done1721
0910
11410
21610
done1610
01029
12829
210111
342911
4153511
5429911
done500011
0910
11410
21610
done1610
0910
11410
21610
done1610
01013
13513
211513
334911
468311
5155911
done500011
01229
14323
213723
339021
481019
5111019
6137819
7194919
8492819
done500019
01019
13417
29117
322915
447813
579813
6135313
7297613
done500013
089
1149
2289
3409
done409
055
1115
2275
3325
4385
5485
6695
71285
83355
912705
done50005
055
1115
2275
3325
4385
5485
6695
71285
83355
912705
done50005
055
1115
2275
3325
4385
5485
6695
71285
83355
912705
done50005
099
1179
2339
3409
4469
5569
6799
71459
83599
912839
done50009
099
1179
2339
3409
4469
5569
6799
71459
83599
912839
done50009
099
1179
2339
3409
4469
5569
6799
71459
83599
912839
done50009

prune68.0ms

Filtered
27 candidates to 36 candidates (-33.3%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New32436
Fresh000
Picked011
Done000
Total32537

Merged error: 0.0b

Counts
37 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x y) (* (* 3 z) z))
0.1b
(* (* 3 z) z)

rewrite10.0ms

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
+-commutative flip3-+ associate-*l* sum-log *-commutative flip-+
Counts
2 → 29
Calls
2 calls:
4.0ms
(+ (* x y) (* (* 3 z) z))
5.0ms
(* (* 3 z) z)

series17.0ms

Counts
2 → 6
Calls
2 calls:
13.0ms
(+ (* x y) (* (* 3 z) z))
4.0ms
(* (* 3 z) z)

simplify52.8s

Counts
35 → 35
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
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
3446
4956
52066
64886
713996
done50006
0817
12213
2659
31655
43525
58015
621375
done50015
0817
12515
2879
32719
44247
59475
626135
done50005
0613
11013
21113
done1113
056
196
2106
done106
0617
11917
2727
32107
43487
54775
610595
728815
done50005
056
196
2106
done106
056
196
2106
done106
069
1129
2259
3379
done379
056
196
2156
done156
055
1113
2233
done233
023
done23
01011
12210
23910
38110
424410
591110
6418210
done500010
0910
11510
21610
done1610
0910
11810
23010
35010
414010
549210
6188710
done500010
01021
11621
21721
done1721
0910
11510
21610
done1610
01029
12929
210111
342811
4150611
5416911
done500011
0910
11510
21610
done1610
0910
11510
21610
done1610
01013
13513
212013
337713
478111
5212911
done500111
01229
14223
214523
338823
480421
5107719
6127919
7157619
8283519
done500119
01019
13319
29517
323717
444015
566713
6101013
7197913
done500013
089
1159
2289
3419
done419
055
1115
2275
3325
4385
5485
6695
71285
83355
912705
done50005
055
1115
2275
3325
4385
5485
6695
71285
83355
912705
done50005
055
1115
2275
3325
4385
5485
6695
71285
83355
912705
done50005
099
1179
2339
3409
4469
5569
6799
71459
83599
912839
done50009
099
1179
2339
3409
4469
5569
6799
71459
83599
912839
done50009
099
1179
2339
3409
4469
5569
6799
71459
83599
912839
done50009

prune57.0ms

Filtered
24 candidates to 35 candidates (-45.8%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New34135
Fresh033
Picked011
Done011
Total34640

Merged error: 0.0b

Counts
40 → 6

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x y) (* (sqrt 3) (* (sqrt 3) (* z z))))
0.2b
(* (sqrt 3) (* (sqrt 3) (* z z)))
0.3b
(* (sqrt 3) (* z z))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
17×pow1 add-exp-log add-cbrt-cube
12×associate-*l*
add-sqr-sqrt pow-prod-down prod-exp cbrt-unprod
add-cube-cbrt *-un-lft-identity sqrt-prod
add-log-exp
associate-*r* *-commutative unswap-sqr
+-commutative flip3-+ sum-log flip-+
Counts
3 → 58
Calls
3 calls:
4.0ms
(+ (* x y) (* (sqrt 3) (* (sqrt 3) (* z z))))
12.0ms
(* (sqrt 3) (* (sqrt 3) (* z z)))
8.0ms
(* (sqrt 3) (* z z))

series36.0ms

Counts
3 → 9
Calls
3 calls:
23.0ms
(+ (* x y) (* (sqrt 3) (* (sqrt 3) (* z z))))
8.0ms
(* (sqrt 3) (* (sqrt 3) (* z z)))
5.0ms
(* (sqrt 3) (* z z))

simplify1.9min

Counts
67 → 67
Iterations

Useful iterations: done (1.0ms)

IterNodesCost
056
186
2106
done106
056
186
2106
done106
079
1128
2158
done158
078
1108
2168
3178
done178
067
1127
2197
3267
4277
done277
067
1117
2217
3397
4817
51827
64457
712967
846537
done50017
0920
12216
27012
31908
43518
57818
621078
done50018
0920
12316
26710
31858
43498
58118
622268
done50008
0715
11015
21215
done1215
067
197
2117
done117
0720
12020
2708
32258
43758
55378
614268
747458
done50008
067
197
2117
done117
067
197
2117
done117
055
165
done65
055
165
done65
055
165
done65
055
165
done65
044
154
done54
067
197
2117
done117
067
197
2117
done117
067
197
2117
done117
056
186
2106
done106
067
197
2117
done117
056
186
2106
done106
069
1129
2205
3245
done245
069
1129
2205
3245
done245
069
1129
2205
3245
done245
0813
11612
22610
3328
4338
done338
0812
11412
22410
3338
4348
done348
0811
11411
22311
33710
4447
5457
done457
0710
11610
2336
3506
4646
5676
done676
0710
11510
2316
3656
41496
53586
68876
727136
done50006
01029
12821
21129
34165
411955
525735
done50015
01029
12921
21109
34165
411565
525745
done50015
01029
12821
211213
348513
411547
516965
done50005
0821
11421
22213
32613
done2613
0710
11310
2216
3256
done256
0829
12329
2957
33787
49856
519765
done50015
0710
11310
2216
3265
done265
0710
11310
2216
3265
done265
035
done31
0710
11310
22710
33710
done3710
0810
11410
22810
33910
done3910
0710
11310
22710
33710
done3710
069
1129
2205
3245
done245
0710
11310
22710
33710
done3710
069
1129
2205
3245
done245
01215
12614
24810
310210
429310
5107110
done500010
01114
11914
22710
33110
done3110
01114
12214
24110
37210
417910
559710
6245110
done500010
01229
12029
22821
33221
done3221
01114
11914
22710
33110
done3110
01241
13341
211211
353911
4230111
done500011
01114
11914
22710
33110
done3110
01114
11914
22710
33110
done3110
01217
13917
213413
347513
4160011
done500011
01441
14631
216223
360023
4151321
5221619
6249019
7313219
done500019
01227
13727
211117
338517
4112415
5178113
6259213
7460113
done500113
01013
11913
2399
3789
41089
done1089
066
1126
2286
3356
4416
5516
6726
71336
83486
912836
done50016
066
1126
2286
3356
4416
5516
6726
71336
83486
912836
done50016
066
1126
2286
3356
4416
5516
6726
71336
83486
912836
done50016
078
1168
2595
3905
41715
54475
614475
done50015
078
1168
2595
3905
41715
54475
614475
done50015
078
1168
2595
3905
41715
54475
614475
done50015
01112
12212
2659
3989
41819
54639
613999
done50019
01112
12212
2659
3989
41819
54639
613999
done50019
01112
12212
2659
3989
41819
54639
613999
done50019

prune111.0ms

Filtered
48 candidates to 67 candidates (-39.6%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New66167
Fresh123
Picked011
Done022
Total67673

Merged error: 0b

Counts
73 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (cbrt (sqrt 3)) (* z z))
0.2b
(* (sqrt 3) (* (* (cbrt (sqrt 3)) (cbrt (sqrt 3))) (* (cbrt (sqrt 3)) (* z z))))
0.3b
(* (* (cbrt (sqrt 3)) (cbrt (sqrt 3))) (* (cbrt (sqrt 3)) (* z z)))
1.0b
(* (cbrt (sqrt 3)) (cbrt (sqrt 3)))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
66×pow1
61×add-exp-log
48×cbrt-prod
46×add-sqr-sqrt
42×pow-prod-down
41×prod-exp cbrt-unprod
37×add-cbrt-cube
27×sqrt-prod
25×associate-*l*
21×add-cube-cbrt *-un-lft-identity
12×associate-*r* unswap-sqr
11×swap-sqr
pow1/3
*-commutative add-log-exp
pow-sqr pow-prod-up
pow2 pow-plus
Counts
4 → 147
Calls
4 calls:
8.0ms
(* (cbrt (sqrt 3)) (* z z))
22.0ms
(* (sqrt 3) (* (* (cbrt (sqrt 3)) (cbrt (sqrt 3))) (* (cbrt (sqrt 3)) (* z z))))
16.0ms
(* (* (cbrt (sqrt 3)) (cbrt (sqrt 3))) (* (cbrt (sqrt 3)) (* z z)))
9.0ms
(* (cbrt (sqrt 3)) (cbrt (sqrt 3)))

series48.0ms

Counts
4 → 10
Calls
4 calls:
34.0ms
(* (cbrt (sqrt 3)) (* z z))
8.0ms
(* (sqrt 3) (* (* (cbrt (sqrt 3)) (cbrt (sqrt 3))) (* (cbrt (sqrt 3)) (* z z))))
5.0ms
(* (* (cbrt (sqrt 3)) (cbrt (sqrt 3))) (* (cbrt (sqrt 3)) (* z z)))
0.0ms
(* (cbrt (sqrt 3)) (cbrt (sqrt 3)))

simplify5.5min

Counts
157 → 157
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
023
151
done51
023
161
done61
035
done31
047
done47
023
161
done61
059
176
286
done86
058
178
296
3106
done106
058
178
2118
3168
4348
5738
61828
75658
822628
done50018
035
done31
0617
done617
058
done58
0623
11423
2209
3345
4681
51321
63141
710081
849841
done50001
058
164
done64
058
164
done64
0617
done617
059
done59
0615
179
done79
059
done59
059
done59
059
done59
059
done59
059
done59
047
165
done65
047
done47
059
done59
059
done59
059
done59
059
done59
035
153
done51
047
done47
0619
11019
21111
3206
4356
5636
61346
73496
812656
done50016
059
done59
059
done53
059
done53
023
141
done41
047
done47
059
done59
059
done59
059
done59
059
done59
079
189
done89
079
189
done89
059
done59
059
done59
059
done59
059
done59
079
189
done89
079
189
done89
079
189
done89
079
189
done89
079
189
done89
079
189
done89
059
done53
059
done53
033
151
done51
033
161
done61
0612
1712
done712
0811
1108
done108
068
178
done78
077
1106
done106
068
178
done78
066
195
done95
0613
1913
21113
done1113
058
168
done68
055
183
2113
done113
058
168
done68
078
188
done88
068
178
done78
047
done47
068
178
done78
047
done47
058
168
done68
058
168
done68
047
done47
0815
11615
23415
3519
4566
5726
61056
71956
84736
914906
done50006
0815
11615
23415
3519
4566
5726
61056
71956
84736
914906
done50006
0815
11615
23415
3519
4566
5726
61056
71956
84736
914906
done50006
0815
11615
23415
3519
4566
5726
61056
71956
84736
914906
done50006
0815
11615
23415
3519
4566
5726
61056
71956
84736
914906
done50006
0815
11615
23415
3519
4566
5726
61056
71956
84736
914906
done50006
01020
12116
24411
36511
46611
done6611
01019
12016
23911
36411
47511
done7511
01018
12015
23515
35911
47711
57811
done7811
01119
12018
24016
36111
46511
done6511
01118
11818
23716
36211
47011
done7011
01017
11817
23515
36111
48211
58311
done8311
0916
12016
25016
39510
41327
51557
62097
73667
88587
925497
done50007
0916
11916
24716
310210
42257
55617
614087
742417
done50017
0920
12416
27412
32248
44028
59008
624548
done50018
0920
12516
27210
32238
44758
510068
626338
done50008
01029
12825
210911
351811
4165710
533698
done50018
01238
13538
212520
355312
419358
done50008
01238
13638
212218
354712
420168
done50008
01247
13747
215219
375814
425268
done50018
01033
11833
23633
35221
45715
57315
610615
719215
847515
9149315
done500015
0916
11716
23416
35010
4557
5717
61067
71987
84737
914907
done50007
01047
12847
213617
369111
422778
538218
done50008
0916
11716
23416
35010
4557
5717
61077
71997
84777
915087
done50007
0916
11716
23416
35010
4557
5717
61077
71997
84777
915087
done50007
0511
1611
275
3122
4182
5282
6492
71102
83242
912422
done50002
0711
11311
22111
32511
done2511
0918
12018
25918
313112
41889
52645
65365
713685
844245
done50005
0918
12018
25918
313112
41889
52645
65365
713685
844245
done50005
0918
12018
25918
313112
41889
52645
65365
713685
844245
done50005
0918
12018
25918
313112
41889
52645
65365
713685
844245
done50005
0918
12018
25918
313112
41889
52645
65365
713685
844245
done50005
0918
12018
25918
313112
41889
52645
65365
713685
844245
done50005
0918
12018
25918
313112
41889
52645
65365
713685
844245
done50005
01224
12620
26915
313915
419315
done19315
01223
12520
26215
313215
418515
done18515
01222
12519
25319
311515
419315
520415
done20415
01323
12522
26320
313815
419615
done19615
01322
12322
25820
313315
419915
done19915
01221
12321
25019
311615
419815
520915
done20915
01120
12320
25720
313014
422811
53077
64207
78887
824097
done50007
01019
12419
27519
319913
439510
55666
69476
724156
done50006
01019
12319
26919
320213
450610
513036
637436
done50006
01129
13121
211413
34255
410665
522775
done50005
01129
13221
211111
34175
411235
524515
done50005
01238
13630
214914
380914
439159
done50009
01547
14443
217725
310735
445975
done50005
01547
14543
217423
310727
447075
done50005
01556
14652
220524
3135013
done50009
01356
13752
218622
3125616
done500116
01139
12239
26139
313427
419021
526913
654813
7139213
8447513
done500113
01019
12119
25919
313313
418310
52566
65296
713616
844416
done50006
01156
13256
215920
3118714
done500014
01019
12119
25919
313313
418310
52566
65305
713625
844685
done50005
01019
12119
25919
313313
418310
52566
65305
713625
844685
done50005
0510
1810
21010
done1010
0919
12019
24713
3859
41209
52229
65169
715319
done50009
01119
12219
26119
312813
418410
521210
629610
753010
8131010
9414610
done500010
01019
12119
25919
313513
419310
522210
630710
754310
8132310
9416610
done500010
0918
12018
25918
313112
41889
52645
65365
713685
844245
done50005
01019
12119
25919
313513
419310
522210
630710
754310
8132310
9416610
done500010
0918
12018
25918
313112
41889
52645
65365
713685
844245
done50005
067
197
2117
done117
067
197
2117
done117
0810
1139
2169
done169
089
1119
2179
3189
done189
078
1138
2208
3278
4288
done288
078
1128
2228
3408
4828
51838
64488
713068
846798
done50008
0714
11714
24610
3826
41316
53116
68196
732036
done50016
0714
11814
2448
3826
41366
53226
68636
733136
done50006
0817
11117
21317
done1317
078
1108
2128
done128
0823
12123
2719
32299
43608
55266
614206
747436
done50006
078
1108
2128
done128
078
1108
2128
done128
066
176
done76
066
176
done76
066
176
done76
066
176
done76
066
176
done76
066
176
done76
055
165
done65
078
1108
2128
done128
078
1108
2128
done128
078
1108
2128
done128
067
197
2117
done117
078
1108
2128
done128
067
197
2117
done117
078
1108
2128
done128
078
1108
2128
done128
067
197
2117
done117
067
197
2117
done117
066
1126
2286
3356
4416
5516
6726
71336
83486
912836
done50016
066
1126
2286
3356
4416
5516
6726
71336
83486
912836
done50016
066
1126
2286
3356
4416
5516
6726
71336
83486
912836
done50016
078
1168
2595
3905
41715
54475
614475
done50015
078
1168
2595
3905
41715
54475
614475
done50015
078
1168
2595
3905
41715
54475
614475
done50015
088
1197
2537
3877
41767
54667
615717
done50007
088
1197
2537
3877
41767
54667
615717
done50007
088
1197
2537
3877
41767
54667
615717
done50007

prune309.0ms

Filtered
97 candidates to 157 candidates (-61.9%)
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New1570157
Fresh022
Picked011
Done033
Total1576163

Merged error: 0b

Counts
163 → 6

regimes332.0ms

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
089
1129
done129

end0.0ms

sample899.0ms

Algorithm
intervals
Results
408.0ms12207×body80valid

Profiling

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