Details

Time bar (total: 8.1min)

sample30.0ms

Algorithm
intervals
Results
12.0ms395×body80valid

simplify29.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
089
1149
2319
3569
4589
done589

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b
(- (* x x) (* (* y 4.0) z))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
add-log-exp
pow1 add-exp-log add-sqr-sqrt add-cube-cbrt sub-neg flip3-- *-un-lft-identity diff-log add-cbrt-cube flip--
Counts
1 → 12
Calls
1 calls:
7.0ms
(- (* x x) (* (* y 4.0) z))

series10.0ms

Counts
1 → 3
Calls
1 calls:
10.0ms
(- (* x x) (* (* y 4.0) z))

simplify28.3s

Counts
15 → 15
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01011
12010
24210
39610
425410
583410
6496510
done500010
0910
11510
23210
35710
45910
done5910
0910
11810
24510
310310
421010
565210
6295310
done500110
01021
11621
23321
35821
46021
done6021
0910
11510
23210
35710
45910
done5910
01029
11729
24811
317411
492011
5463811
done500011
0910
11510
23210
35710
45910
done5910
0910
11510
23210
35710
45910
done5910
01113
13513
213111
362111
4319411
done500111
01229
13823
212721
337619
453019
555719
666319
7100619
8236219
done500019
066
1146
2356
3536
done536
01019
13019
29817
337815
4102915
5144915
6195015
7316415
done500015
089
1139
2199
done199
066
1146
2356
3536
done536
099
1209
2459
3759
4839
5939
61159
71769
83909
913129
done50019
099
1209
2459
3759
4839
5939
61159
71769
83909
913129
done50019
099
1209
2459
3759
4839
5939
61159
71769
83909
913129
done50019

prune24.0ms

Filtered
11 candidates to 15 candidates (-36.4%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New14115
Fresh000
Picked011
Done000
Total14216

Merged error: 0b

Counts
16 → 2

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x x) (* (* y 4.0) z))
0.3b
(* (* (* y 4.0) z) (* (* y 4.0) z))
1.9b
(- (pow x 4) (* (* (* y 4.0) z) (* (* y 4.0) z)))
30.9b
(/ (- (pow x 4) (* (* (* y 4.0) z) (* (* y 4.0) z))) (+ (* x x) (* (* y 4.0) z)))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
118×pow1
66×pow-prod-down
42×add-exp-log add-cbrt-cube
27×prod-exp cbrt-unprod
25×add-sqr-sqrt
18×times-frac
15×add-cube-cbrt *-un-lft-identity difference-of-squares
pow-sqr pow-prod-up
add-log-exp
associate-/l*
unpow-prod-down sqr-pow
pow-plus associate-/r*
flip3-- flip3-+ associate-/r/ flip-- flip-+ associate-/l/
cbrt-undiv +-commutative pow2 sub-neg frac-2neg diff-log div-sub swap-sqr div-exp associate-*r* associate-*l* clear-num sum-log *-commutative div-inv
Counts
4 → 130
Calls
4 calls:
4.0ms
(+ (* x x) (* (* y 4.0) z))
13.0ms
(* (* (* y 4.0) z) (* (* y 4.0) z))
5.0ms
(- (pow x 4) (* (* (* y 4.0) z) (* (* y 4.0) z)))
12.0ms
(/ (- (pow x 4) (* (* (* y 4.0) z) (* (* y 4.0) z))) (+ (* x x) (* (* y 4.0) z)))

series66.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(+ (* x x) (* (* y 4.0) z))
13.0ms
(* (* (* y 4.0) z) (* (* y 4.0) z))
19.0ms
(- (pow x 4) (* (* (* y 4.0) z) (* (* y 4.0) z)))
24.0ms
(/ (- (pow x 4) (* (* (* y 4.0) z) (* (* y 4.0) z))) (+ (* x x) (* (* y 4.0) z)))

simplify7.6min

Counts
142 → 142
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01527
13527
210627
338927
492827
5114927
6149812
7185410
8266810
done500110
01426
13826
212226
349826
4149326
5325612
done500112
01426
13526
212026
349726
4153326
5334112
done500112
01777
15677
223629
3111127
done500027
01553
13653
211853
348953
4148853
5325225
done500025
01426
13526
211726
349226
4148726
5323412
done500012
01577
14377
215327
374927
4475313
done500013
01426
13526
211726
349226
4148726
5323412
done500012
01426
13526
211726
349226
4148726
5323412
done500012
01116
12816
210216
341316
4127915
5271715
6357815
done500015
0910
11710
23810
36410
46610
done6610
01113
12013
23413
36413
48613
510813
613813
720613
839613
9106713
10398613
done500113
01021
12421
28821
330721
472721
5123421
6143421
done143421
01755
14155
212055
341055
495655
5115855
6144355
7185355
8257855
done500055
01527
13327
210327
338427
493427
5112727
6144027
7180827
8258127
done500027
01644
13644
210844
338444
494344
5112844
6147344
7188144
8263844
done500044
01527
13327
210327
338427
493427
5112727
6144027
7180827
8258127
done500027
01435
13533
211133
339633
498433
5132833
6198033
7446133
done500033
01426
13226
210226
338026
493826
5114926
6146826
7187426
8261726
done500126
01638
13638
210638
338038
493738
5115638
6148538
7187538
8262438
done500038
01527
13327
210327
338427
493427
5112727
6144027
7180827
8258127
done500027
01527
13327
210327
338427
493427
5112727
6144027
7180827
8258127
done500027
01527
13327
210327
338427
493427
5112727
6144027
7180827
8258127
done500027
01318
13216
210416
338116
494816
5129616
6194516
7445516
done500016
01426
13226
210226
338026
493826
5114926
6146826
7187426
8261726
done500126
01223
12123
22723
done2723
01426
13526
211726
349226
4148826
5323726
done500126
01112
11812
22412
32612
done2612
01426
13526
211726
349226
4148826
5323726
done500126
023
141
done41
01325
13425
211625
349325
4149425
5322311
done500011
01532
12732
24032
36031
47531
511231
623331
768731
8256031
done500031
01421
12821
26221
314120
425220
543920
686220
7267820
done500020
01421
12421
23721
35720
47220
510920
623020
767920
8258520
done500020
01421
12821
26221
314120
425220
543920
686220
7267820
done500020
01212
12310
23710
3559
4849
51379
62639
77439
829019
done50009
01320
12720
26120
314019
424919
543419
685519
7267119
done500019
01532
12732
24032
36032
47132
58332
610332
714732
826132
963632
10229832
done500032
01421
12821
26021
313121
421821
532121
638221
742721
853821
991721
10258321
done500021
01421
12421
23721
35721
46821
58021
610021
714421
825721
963321
10230721
done500121
01421
12821
26021
313121
421821
532121
638221
742721
853821
991721
10258321
done500021
01212
12310
23810
35610
410310
521210
639510
7125910
done500010
01320
12720
25920
313020
421720
532020
638120
742620
854220
992220
10256820
done500020
01633
12831
24231
34731
45331
56331
68731
714931
837031
9131331
done500031
01522
12920
26420
312220
420720
530820
637120
744120
864920
9158020
done500120
01522
12520
23920
34620
45220
56220
68620
715120
836520
9129420
done500020
01522
12920
26420
312220
420720
530820
637120
744120
864920
9158020
done500120
01313
1239
2379
3529
4779
51409
64169
713279
done50019
01421
12819
26319
311919
420619
530719
637219
744019
865919
9159219
done500019
01011
11711
22311
32511
done2511
01325
13125
210125
338125
491611
5116211
6148911
7188311
8262511
done500111
01537
13837
213837
365137
4284337
done500037
01426
13526
211726
349226
4148826
5323726
done500126
01217
13415
211815
349615
4171915
5472415
done500015
01426
13226
210226
337526
493926
5113426
6145926
7186126
8262226
done500126
01426
13226
210226
337526
493926
5113426
6145926
7186126
8262226
done500126
01325
13125
210125
338125
491611
5116211
6148911
7188311
8262511
done500111
01320
12420
24820
39319
411019
514719
626719
770919
8267819
done500019
01320
12420
24820
39320
410620
511820
613820
718420
829820
968020
10234620
done500020
01421
12519
25019
38019
49019
510019
612219
718519
839419
9132119
done500019
01629
15329
219527
386727
4288527
done500027
01435
14235
215131
379131
done50001
01757
15641
226537
3168137
done500037
01325
13725
213325
364325
4239525
5474125
done500025
01217
13116
210416
337616
4111816
5293216
done500116
01116
12816
29916
338516
491616
5111816
6140916
7177516
8254616
done500016
01116
13116
211416
346916
4136816
5311116
done500116
01233
12933
210033
337633
493933
5115033
6148733
7187133
8261733
done500133
01116
12816
29916
338216
491216
5111816
6144116
7181116
8251916
done500016
01247
13047
211517
352817
4355517
done500117
01116
12816
29916
338216
491216
5111816
6144116
7181116
8251916
done500016
01116
12816
29916
338216
491216
5111816
6144116
7181116
8251916
done500016
01319
14419
219913
3130413
done500013
01447
14531
221027
3119727
done500127
0712
12112
29812
337712
484112
592112
done92112
01231
13927
216617
3102111
done500011
01015
12615
27815
322015
429715
530915
632915
737115
848415
986115
10251415
done500115
01010
11910
23210
3549
4699
51049
62269
76779
825469
done50009
01010
12010
24410
3899
41069
51439
62639
77209
825889
done50009
01010
11910
23310
35510
46610
57810
69810
714210
825610
963110
10228810
done500110
01010
12010
24510
39010
410310
511510
613510
717910
829510
967910
10233310
done500010
01111
1199
2329
3519
4669
51089
62369
77569
837489
done50019
01111
1219
2469
3789
4869
5969
61189
71749
83829
912879
done50009
0712
12112
29812
337712
484112
592112
done92112
023
161
done61
023
161
done61
023
161
done61
023
161
done61
023
161
done61
023
161
done61
023
161
done61
023
161
done61
023
161
done61
0611
11711
26211
317811
420811
done20811
0611
11711
26211
317811
420811
done20811
0611
11711
26211
317811
420811
done20811
0611
11711
26211
317811
420811
done20811
0611
11711
26211
317811
420811
done20811
0611
11711
26211
317811
420811
done20811
0611
11711
26211
317811
420811
done20811
0611
11711
26211
317811
420811
done20811
0611
11711
26211
317811
420811
done20811
023
161
done61
023
161
done61
023
161
done61
0917
11910
26210
315910
425110
526110
done26110
01216
12315
25115
31359
42299
52439
done2439
01215
12515
25813
31418
42778
52948
done2948
01216
12315
25115
31359
42259
52399
done2399
0815
1199
2459
31159
42229
52839
done2839
01014
12113
24413
31118
42628
53198
done3198
01215
12515
25813
31438
42878
53098
done3098
01014
12113
24413
31138
42708
53418
done3418
0713
1168
2408
3878
42088
53048
63078
done3078
0712
12012
2818
32708
45148
56268
done6268
0712
12012
28012
327312
456912
5129812
6334112
done500112
01235
13235
218423
3133111
done500111
01635
14835
221519
314989
done50009
01635
14735
223719
3167815
done500015
01635
14835
221619
315159
done50009
01035
13435
217619
313009
done50009
01335
14635
222615
317037
done50007
01635
14735
223719
3172115
done500015
01335
14635
222615
316627
done50007
0835
12835
216215
311437
done50007
0825
11925
26425
318325
422525
done22525
0712
11812
26312
318112
421812
done21812
0835
12735
215213
311137
done50007
0712
1196
2646
31836
42196
done2196
0712
1196
2646
31836
42196
done2196
047
1127
2237
done237
023
done23
033
161
done61
033
161
done61
033
161
done61
033
161
done61
033
161
done61
033
161
done61
033
161
done61
033
161
done61
033
161
done61
069
1139
2349
3779
4949
done949
067
1117
2237
3387
4407
done407
01011
12110
24210
38110
422510
577210
6346910
done500110
0910
11410
22010
done2010
0910
11710
23210
35310
412510
539310
6134210
done500010
01021
11521
22121
done2121
0910
11410
22010
done2010
01029
12829
210011
344511
4184411
done500011
0910
11410
22010
done2010
0910
11410
22010
done2010
01113
13413
211011
341011
4143711
5344311
done500111
01229
13923
214121
349019
496319
5116219
6146919
7270319
done500019
01019
13019
29817
337815
4102915
5144915
6195015
7316415
done500015
089
1149
2319
3569
4589
done589
01111
12311
25611
38611
49411
510411
612811
719411
841011
9134911
done500111
099
1209
2459
3759
4839
5939
61159
71769
83909
913129
done50019
099
1209
2459
3759
4839
5939
61159
71769
83909
913129
done50019
011
done11
01213
12913
210213
323913
442313
547913
653613
768713
8120013
9338013
done500013
01213
12913
210213
323913
442313
547913
653613
768713
8120013
9338013
done500013
089
1209
2779
31269
41639
51809
62229
73409
87519
926069
done50019
089
1209
2779
31269
41639
51809
62229
73409
87519
926069
done50019
089
1209
2779
31269
41639
51809
62229
73409
87519
926069
done50019
099
1199
2339
3389
4449
5549
6789
71389
83459
912549
done50019
099
1199
2339
3389
4449
5549
6789
71389
83459
912549
done50019
099
1199
2339
3389
4449
5549
6789
71389
83459
912549
done50019

prune208.0ms

Filtered
87 candidates to 142 candidates (-63.2%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1420142
Fresh000
Picked011
Done011
Total1422144

Merged error: 0b

Counts
144 → 2

regimes304.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1109
done109

end0.0ms

sample911.0ms

Algorithm
intervals
Results
419.0ms12246×body80valid

Profiling

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