Details

Time bar (total: 6.8min)

sample37.0ms

Algorithm
intervals
Results
15.0ms256×body80valid

simplify856.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01821
13521
26321
312021
420321
529121
636821
747421
857621
961221
1061421
done61421

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 21.9b

Counts
2 → 1

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
0.1b
(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
4.7b
(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
21.2b
(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×add-exp-log add-cbrt-cube
12×*-un-lft-identity
10×add-cube-cbrt
pow1
associate-*r* associate-*l* add-log-exp
flip3-+ flip-+
associate-*r/
times-frac prod-exp associate-/r* cbrt-unprod
cbrt-undiv div-exp pow-prod-down associate-*l/ associate-/r/ *-commutative associate-/l/ unswap-sqr
+-commutative distribute-rgt-in frac-2neg distribute-lft-in clear-num sum-log div-inv distribute-lft-out associate-/l*
Counts
4 → 79
Calls
4 calls:
11.0ms
(+ x (/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
8.0ms
(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
11.0ms
(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
18.0ms
(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

series132.0ms

Counts
4 → 12
Calls
4 calls:
78.0ms
(+ x (/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
13.0ms
(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
12.0ms
(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
28.0ms
(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

simplify1.8min

Counts
91 → 91
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01922
13122
25322
37722
49122
510022
611322
713122
814722
915422
1017122
1117322
done17322
01821
13721
26721
312021
416621
518221
619121
720421
822221
923821
1024521
1126221
1226421
done26421
01720
13620
27220
314320
423420
530420
638520
750920
862920
968020
1070220
1170620
1271520
1373020
1474520
done74520
01720
13320
26120
311820
420420
531320
649420
798420
8317720
done500020
02259
16859
229725
3143825
done500025
02059
16459
227723
3142521
done500021
01841
13441
26241
311541
419241
525441
632341
742941
853141
956641
1056841
done56841
01720
13320
26120
311620
419020
525020
632320
742920
853120
956820
1057020
done57020
01859
14159
211821
348121
4286721
done500021
01720
13320
26120
311620
419020
525020
632320
742920
853120
956820
1057020
done57020
01720
13320
26120
311620
419020
525020
632320
742920
853120
956820
1057020
done57020
01112
12612
26012
314512
432612
546912
651012
758112
878512
9124812
10129212
11131012
done131012
078
1138
2288
3528
41008
51118
61268
71568
82048
92528
102628
112638
done2638
01019
11519
22219
33019
done3019
01518
12218
23718
35518
done5518
0910
11210
21910
32710
done2710
01518
12218
23718
35518
done5518
033
151
done51
01417
12117
23617
35417
45617
done5617
089
1139
2209
3289
done289
01619
13219
25819
310019
414019
514819
done14819
01829
13929
27729
315029
426129
540729
667829
7115429
8140829
9150829
10152529
11153829
12155329
13155729
done155729
01720
13320
26120
311620
419020
524820
632020
742620
852820
956420
1056620
done56620
01213
12711
25211
310411
415511
515911
done15911
01417
12117
23617
35417
45817
done5817
01923
15123
211623
331523
475623
5217423
done500023
01827
14527
211427
329727
476027
5192027
done500027
01837
14835
216535
368129
4301829
done500029
01417
12317
25317
313617
454817
5194017
done500117
01011
12111
23811
37311
411611
512411
done12411
01213
11713
22513
33613
done3613
01112
12512
24312
38212
412412
513212
done13212
01112
12412
25012
311412
423012
551112
6128712
done500012
01435
13735
214215
363915
4359013
done500013
01225
12325
24025
37525
411725
512525
done12525
01112
12212
23912
37812
412012
513012
done13012
01235
13335
212113
350513
4237113
done500013
01112
12212
23912
37812
412012
513012
done13012
01112
12212
23912
37812
412012
513012
done13012
01213
11713
22513
33613
done3613
01213
11713
22513
33613
done3613
089
1149
2369
3699
4819
5839
done839
033
143
done43
089
1149
2289
3559
4769
5829
done829
033
143
done43
01223
11923
22923
34023
44223
done4223
01112
11612
22412
33512
43712
done3712
033
161
done61
01112
12212
23912
37812
412212
512812
done12812
01112
12212
23912
37812
412212
512812
done12812
01011
12111
23811
37311
411611
512411
done12411
01315
14015
211515
342515
4155615
5492115
done500015
01221
12821
28021
326121
479021
5250021
done500021
067
197
2177
3207
done207
089
1119
done119
078
1138
2228
3258
done258
078
1128
2308
3488
4838
51738
64568
713298
848318
done50008
01023
13123
210711
337511
414279
done50009
0817
11117
21917
32217
done2217
078
1108
2188
3218
done218
0823
12123
2829
33119
48779
523379
done50019
078
1108
2188
3218
done218
078
1108
2188
3218
done218
089
1119
done119
089
1119
done119
0811
11311
22311
34311
45911
56111
done6111
078
1108
2188
3268
done268
077
1125
2235
3395
4495
done495
078
1108
done108
078
1108
done108
067
197
2177
3207
done207
0911
12811
27411
318611
440511
5120211
done500011
0813
12213
25013
310413
422213
536613
659613
7112913
8411113
done500113
02023
13922
26822
312322
421522
536822
665222
7128522
8436922
done500022
01922
13622
26422
311922
420322
528322
636922
747522
857722
961222
1061422
done61422
01922
13922
26822
312322
422022
537322
663422
7126822
8437222
done500122
02045
13745
26545
312045
420445
528645
636845
747445
857645
961945
1062145
done62145
01922
13622
26422
311922
420322
528322
636922
747522
857722
961222
1061422
done61422
02065
15065
212623
340523
4191223
done500023
01922
13622
26422
311922
420322
528322
636922
747522
857722
961222
1061422
done61422
01922
13622
26422
311922
420322
528322
636922
747522
857722
961222
1061422
done61422
02125
15425
212325
340725
4227125
done500025
02265
15245
214245
346045
4197545
done500045
02043
14543
210843
337143
4182143
done500043
01821
13621
26921
313921
434221
569321
6111521
7163721
8233521
9380321
done500121
01821
13521
26321
312021
420321
529121
636821
747421
857621
961221
1061421
done61421
01417
13317
28615
315013
421011
529311
649311
784511
8115511
9220711
done500111
01417
13117
27117
312317
419413
529713
641813
761413
892013
9198011
done500011
01417
13117
27117
312317
419413
529713
641813
761413
892013
9198011
done500011
01417
13217
27415
311113
413911
515911
618311
724411
845011
9136911
done500011
01417
13217
27415
311113
413911
515911
618311
724411
845011
9136911
done500011
01417
13217
27415
311113
413911
515911
618311
724411
845011
9136911
done500011
089
1169
2329
3379
4477
5597
6817
71427
83537
912817
done50007
089
1169
2329
3379
4477
5597
6817
71427
83537
912817
done50007
089
1169
2329
3379
4477
5597
6817
71427
83537
912817
done50007
01011
12011
2459
3789
4899
51009
61239
71509
81799
91939
102309
113019
123029
done3029
01011
11811
22711
33311
4389
5409
done409
01011
11811
22711
33311
4389
5409
done409

prune187.0ms

Filtered
73 candidates to 91 candidates (-24.7%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New87491
Fresh000
Picked101
Done000
Total88492

Merged error: 0.0b

Counts
92 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)
0.1b
(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
0.1b
(* y (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
17.3b
(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
22×add-cube-cbrt *-un-lft-identity
19×times-frac
18×associate-*r*
13×add-exp-log add-cbrt-cube
pow1
associate-*l* add-log-exp
flip3-+ flip-+
associate-/r/
prod-exp associate-/r* cbrt-unprod associate-/l* unswap-sqr
cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative div-inv associate-/l/
+-commutative frac-2neg associate-*r/ clear-num sum-log
Counts
4 → 96
Calls
4 calls:
9.0ms
(+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)
7.0ms
(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
18.0ms
(* y (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
17.0ms
(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

series50.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)
7.0ms
(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
32.0ms
(* y (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
6.0ms
(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

simplify1.7min

Counts
108 → 108
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01619
12519
24119
35919
46119
done6119
01518
12518
24218
36118
done6118
01518
12218
23718
35518
done5518
01853
15853
219721
375419
4340719
done500019
01637
12337
23837
35637
46037
done6037
01518
12218
23718
35518
done5518
01653
13053
27719
319919
472219
5308919
done500019
01518
12218
23718
35518
done5518
01518
12218
23718
35518
done5518
0910
11610
23210
36010
412410
514210
615710
718710
824710
933110
1034310
1134410
done34410
078
1138
2288
3528
41008
51118
61268
71568
82048
92528
102628
112638
done2638
01839
13139
25539
37939
48339
done8339
01619
12319
23819
35619
46019
done6019
01730
12630
24330
36230
46630
done6630
01619
12319
23819
35619
46019
done6019
01223
12021
23421
35021
done5021
01518
12218
23718
35518
done5518
01728
12628
24128
35928
46128
done6128
01619
12319
23819
35619
46019
done6019
01619
12319
23819
35619
46019
done6019
01619
12319
23819
35619
46019
done6019
01112
11710
22710
33810
done3810
01518
12218
23718
35518
done5518
01019
11719
22419
33219
done3219
01518
12218
23718
35518
done5518
0910
11410
22110
32910
done2910
01518
12218
23718
35518
done5518
023
141
done41
01417
12117
23617
35417
45617
done5617
089
1139
2209
3289
done289
01417
12117
23617
35417
45817
done5817
01627
12527
24027
35827
46227
done6227
01518
12218
23718
35518
done5518
01011
1169
2269
3379
4399
done399
01518
12218
23718
35518
done5518
01518
12218
23718
35518
done5518
01417
12117
23617
35417
45817
done5817
01721
14021
29221
324921
461621
5200221
done500021
01625
13425
28025
318625
443625
5108225
6353525
done500025
01837
14835
216535
368129
4301829
done500029
01417
12317
25317
313617
454817
5194017
done500117
01619
12619
25219
39019
416519
522019
629019
739619
849419
955519
1056219
done56219
01922
13122
25322
38022
49022
510022
610722
711922
814222
915622
1016222
done16222
01821
12921
25021
37721
49121
510021
610521
711421
813121
915021
1015821
done15821
01720
13020
26220
311020
420620
527020
635220
747620
859020
966420
1069120
1169620
1270520
1372020
1473520
done73520
01720
12920
26120
310920
423820
546320
690220
7247820
done500120
02259
16859
225925
3118623
done500123
02059
14059
212023
339223
4187221
done500021
01841
12841
25441
39241
416341
521741
628741
739341
849141
955241
1055941
done55941
01720
12720
25320
39120
416820
522420
630220
740820
850620
956720
1057420
done57420
01859
13859
211521
339321
4162621
done500021
01720
12720
25320
39120
416820
522420
630220
740820
850620
956720
1057420
done57420
01720
12720
25320
39120
416820
522420
630220
740820
850620
956720
1057420
done57420
01821
12621
24121
35921
46321
done6321
01821
12621
24121
35921
46321
done6321
01922
12922
24722
36922
47622
done7622
01922
12922
24722
36922
47622
done7622
01839
12839
24539
36339
46539
done6539
01720
12520
24020
35820
46220
done6220
02041
13641
28041
313741
419941
521541
done21541
01932
13132
25632
38932
410632
510832
done10832
01425
12523
25023
310023
413223
done13223
01930
13130
25730
38830
410430
done10430
01821
12821
24621
36821
47521
done7521
01314
12214
23712
35712
46512
done6512
01221
12221
23919
35519
47519
510719
611019
done11019
01112
11912
22910
33810
44310
54410
done4410
045
193
2141
done141
033
161
done61
01011
12111
23811
37311
411611
512411
done12411
01923
14523
210823
328923
473423
5217023
done500023
01827
13927
210127
324927
464127
5154527
6488127
done500027
01720
12720
25320
39120
417020
522420
629620
740220
850020
956120
1056820
done56820
01720
12720
25320
39120
417020
522420
629620
740220
850020
956120
1056820
done56820
01619
12619
25219
39019
416519
522019
629019
739619
849419
955519
1056219
done56219
01011
12111
23811
37311
411611
512411
done12411
067
197
2177
3207
done207
089
1119
done119
078
1138
2228
3258
done258
078
1128
2308
3488
4838
51738
64568
713298
848318
done50008
01023
13123
210711
337511
414279
done50009
0817
11117
21917
32217
done2217
078
1108
2188
3218
done218
0823
12123
2829
33119
48779
523379
done50019
078
1108
2188
3218
done218
078
1108
2188
3218
done218
089
1119
done119
089
1119
done119
0811
11311
22311
34311
45911
56111
done6111
078
1108
2188
3268
done268
077
1125
2235
3395
4495
done495
078
1108
done108
078
1108
done108
067
197
2177
3207
done207
0911
12811
27411
318611
440511
5120211
done500011
0813
12213
25013
310413
422213
536613
659613
7112913
8411113
done500113
01011
11810
23710
36710
413210
526210
669110
7221410
done500010
0910
11310
22110
33210
done3210
0910
11610
22910
35510
49710
517210
645410
7146010
done500010
01021
11421
22221
33321
done3321
0910
11310
22110
33210
done3210
01029
12729
28311
332611
4155611
done500111
0910
11310
22110
33210
done3210
0910
11310
22110
33210
done3210
01113
13113
27713
324313
476813
5219113
done500013
01229
13227
29227
327721
471621
5197621
done500021
01019
12519
26719
319319
448419
5120419
6361019
done500019
089
1139
2229
3379
4419
5459
6539
7809
81319
92309
102499
112649
122869
132879
done2879
01011
12211
25111
36211
4829
51209
61899
73139
85499
914949
done50009
01315
13015
26611
314311
435311
510889
done50009
01315
13015
26611
314311
435311
510889
done50009
01417
13317
28615
315013
421011
529311
649311
784511
8115511
9220711
done500111
01417
13117
27117
312317
419413
529713
641813
761413
892013
9198011
done500011
01417
13117
27117
312317
419413
529713
641813
761413
892013
9198011
done500011
089
1169
2329
3379
4477
5597
6817
71427
83537
912817
done50007
089
1169
2329
3379
4477
5597
6817
71427
83537
912817
done50007
089
1169
2329
3379
4477
5597
6817
71427
83537
912817
done50007
01011
12111
24311
35211
4629
5749
6989
71609
83819
913209
done50009
01011
12111
24311
35211
4629
5749
6989
71609
83819
913209
done50009
01011
12111
24311
35211
4629
5749
6989
71609
83819
913209
done50009

prune213.0ms

Filtered
86 candidates to 108 candidates (-25.6%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1080108
Fresh033
Picked011
Done000
Total1084112

Merged error: 0.0b

Counts
112 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ y (/ (+ (* (+ z 6.012459259764103) z) 3.350343815022304) (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))))
0.1b
(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
0.4b
(/ y (/ (+ (* (+ z 6.012459259764103) z) 3.350343815022304) (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)))
17.4b
(/ (+ (* (+ z 6.012459259764103) z) 3.350343815022304) (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
60×add-sqr-sqrt *-un-lft-identity
58×add-cube-cbrt
18×associate-/r*
13×add-exp-log add-cbrt-cube
11×associate-/r/
flip3-+ flip-+
pow1 div-inv associate-/l* add-log-exp
cbrt-undiv div-exp
associate-*r* associate-*l*
frac-2neg associate-*l/ clear-num associate-/l/
+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
4 → 141
Calls
4 calls:
26.0ms
(+ x (/ y (/ (+ (* (+ z 6.012459259764103) z) 3.350343815022304) (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))))
8.0ms
(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
22.0ms
(/ y (/ (+ (* (+ z 6.012459259764103) z) 3.350343815022304) (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)))
16.0ms
(/ (+ (* (+ z 6.012459259764103) z) 3.350343815022304) (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))

series130.0ms

Counts
4 → 12
Calls
4 calls:
86.0ms
(+ x (/ y (/ (+ (* (+ z 6.012459259764103) z) 3.350343815022304) (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))))
7.0ms
(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
29.0ms
(/ y (/ (+ (* (+ z 6.012459259764103) z) 3.350343815022304) (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)))
7.0ms
(/ (+ (* (+ z 6.012459259764103) z) 3.350343815022304) (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))

simplify2.2min

Counts
153 → 153
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01619
12519
24119
35919
done5919
01518
12518
24218
36118
done6118
01518
12218
23718
35518
done5518
01853
15853
219721
375419
4341619
done500019
01637
12337
23837
35637
done5637
01518
12218
23718
35518
done5518
01653
13053
27719
319919
469719
5285819
done500019
01518
12218
23718
35518
done5518
01518
12218
23718
35518
done5518
078
1138
2288
3528
41008
51118
61268
71568
82048
92528
102628
112638
done2638
0910
11610
23210
36010
412410
514210
615710
718710
824710
933110
1034310
1134410
done34410
01839
13139
25539
37939
48339
done8339
01619
12319
23819
35619
done5619
01728
12628
24328
36228
46428
done6428
01619
12319
23819
35619
done5619
01019
11717
23017
34317
44517
done4517
01518
12218
23718
35518
done5518
01730
12630
24130
35930
done5930
01619
12319
23819
35619
done5619
01619
12319
23819
35619
done5619
01619
12319
23819
35619
done5619
0910
1148
2238
3318
4358
done358
01518
12218
23718
35518
done5518
01223
12023
22823
33923
44123
done4123
01518
12218
23718
35518
done5518
01112
11712
22512
33612
done3612
01518
12218
23718
35518
done5518
023
141
done41
01417
12117
23617
35417
45817
done5817
01011
11611
22411
33511
43711
done3711
01417
12117
23617
35417
45617
done5617
01629
12529
24029
35829
done5829
01518
12218
23718
35518
done5518
089
1137
2227
3307
done307
01518
12218
23718
35518
done5518
01518
12218
23718
35518
done5518
01417
12117
23617
35417
45617
done5617
01721
14021
29221
326521
477021
5218421
done500021
01627
13427
28427
321927
451327
5122227
6365527
done500027
01833
14831
216131
363527
4290027
done500027
01417
12317
25317
313617
455017
5195117
done500017
01922
13222
25522
38622
49422
510222
611722
714322
815222
done15222
01821
13021
25021
37521
49221
59721
610521
712021
814621
915521
done15521
01720
12920
26220
311720
421720
532620
642620
753720
863720
968120
1069120
1170220
1271720
1373220
done73220
01720
12620
25420
311120
423920
543420
687620
7283720
done500020
02259
16759
226025
3127223
done500023
02059
14259
213123
349121
4257821
done500021
01841
12741
25341
310041
419241
528541
637241
747241
855241
957341
1057441
done57441
01720
12620
25220
39920
419320
528520
637520
747320
855220
957320
done57320
01859
13459
29521
338621
4219021
done500021
01720
12620
25220
39920
419320
528520
637520
747320
855220
957320
done57320
01720
12620
25220
39920
419320
528520
637520
747320
855220
957320
done57320
022
done22
01518
12418
24318
37318
411618
515618
622818
733618
844118
958318
1063418
1168718
1291418
13135718
14210018
done500018
02043
13343
25743
38143
48543
done8543
01821
12521
24021
35821
46221
done6221
01924
12824
24524
36424
46824
done6824
01821
12521
24021
35821
46221
done6221
02245
13945
29045
319745
432945
542445
646345
747345
847545
done47545
01922
12822
24622
36522
47122
57322
67422
done7422
02134
13434
26734
312934
417734
519634
620134
720234
done20234
01922
12822
24622
36522
47122
57322
67422
done7422
01425
12523
25523
313823
416823
518823
619023
done19023
01821
12721
25321
310021
419621
527821
637521
747421
855321
957221
done57221
02136
13436
26436
311036
415036
517136
618136
719036
819236
done19236
01922
12822
24622
36522
47122
57322
67422
done7422
02025
13125
25525
38325
49725
510125
610325
710425
done10425
01922
12822
24622
36522
47122
57322
67422
done7422
01316
12214
24014
37014
47814
58214
68814
done8814
01821
12721
25321
310021
419621
527821
637521
747421
855321
957221
done57221
01629
12829
25127
310927
422227
528527
633027
done33027
01821
12721
24521
36421
46621
56821
66921
done6921
01518
12518
24216
37916
412616
513516
done13516
01821
12721
24521
36421
46621
56821
66921
done6921
069
1127
2215
3425
4565
done565
01720
12620
25220
39920
419320
528720
638020
747820
855720
957720
done57720
057
195
2155
3205
done205
01720
12620
25220
39920
419320
528720
638020
747820
855720
957720
done57720
01013
11513
22413
33313
done3313
01314
12114
24012
37812
415312
525312
649712
777712
882812
done82812
02127
14827
211727
336727
4156127
done500127
01532
13530
29530
327824
472024
5196924
done500124
02033
14233
210933
335033
4139333
done500033
01112
11612
22512
34012
44412
54812
65612
78312
813412
923312
1025212
1126712
1228912
1329012
done29012
01940
12840
24340
36140
46340
done6340
01821
12521
24021
35821
46221
done6221
01821
12521
24021
35821
46221
done6221
01821
12521
24021
35821
46221
done6221
02142
13642
27242
311942
414942
518342
620642
721642
821742
done21742
01922
12822
24622
36522
47122
57322
67422
done7422
02031
13131
25431
38531
49531
510131
610431
done10431
01922
12822
24622
36522
47122
57322
67422
done7422
01322
12220
24220
37720
48920
510120
610720
done10720
01821
12721
25321
310021
419621
527821
637521
747421
855321
957221
done57221
02033
13133
25333
37933
48733
59633
610233
710733
done10733
01922
12822
24622
36522
47122
57322
67422
done7422
01922
12822
24622
36522
47122
57322
67422
done7422
01922
12822
24622
36522
47122
57322
67422
done7422
01213
11911
23211
34511
44711
55011
65411
done5411
01821
12721
25321
310021
419621
527821
637521
747421
855321
957221
done57221
01526
12526
24024
36724
49324
511624
613624
done13624
01821
12721
24521
36421
46621
56821
66921
done6921
01415
12215
23313
35313
46213
56413
done6413
01821
12721
24521
36421
46621
56821
66921
done6921
056
194
2142
3162
4202
done202
01720
12620
25220
39920
419320
528720
638020
747820
855720
957720
done57720
044
162
282
done82
01720
12620
25220
39920
419320
528720
638020
747820
855720
957720
done57720
0910
11210
21910
32710
done2710
01314
12114
24012
37812
415312
525312
649712
777712
882812
done82812
02024
14524
210824
334524
4134924
done500124
01532
13530
29530
327824
472024
5196924
done500124
01930
13930
210030
331430
4102630
5367330
done500030
01112
11612
22512
34012
44412
54812
65612
78312
813412
923312
1025212
1126712
1228912
1329012
done29012
01839
12939
24439
36239
46639
done6639
01720
12420
23920
35720
45920
done5920
01720
12620
24120
35920
46120
done6120
01720
12420
23920
35720
45920
done5920
02041
13741
27341
312039
418239
525339
done25339
01821
12721
24521
36421
46621
56821
66921
done6921
01930
13230
25530
38628
411728
515428
done15428
01821
12721
24521
36421
46621
56821
66921
done6921
01121
12019
23819
35519
done5519
01720
12620
25220
39920
419320
529120
638820
748620
856520
958520
done58520
01932
13232
25432
38030
410830
512330
done12330
01821
12721
24521
36421
46621
56821
66921
done6921
01821
12921
24721
36619
48319
59019
done9019
01821
12721
24521
36421
46621
56821
66921
done6921
01012
11710
22910
33710
done3710
01720
12620
25220
39920
419320
529120
638820
748620
856520
958520
done58520
01325
12321
24021
36421
47821
57921
done7921
01720
12620
24420
36320
46520
56720
66820
done6820
01214
12010
23310
34610
44910
done4910
01720
12620
24420
36320
46520
56720
66820
done6820
035
161
done61
01619
12519
25119
39819
419019
527619
637319
747219
855319
957219
done57219
023
141
done41
01619
12519
25119
39819
419019
527619
637319
747219
855319
957219
done57219
089
1139
2209
3289
done289
01213
12013
23911
37211
412711
515011
done15011
01923
14623
210923
334521
4139721
done500021
01431
13429
29429
327823
471623
5197523
done500023
01829
14029
210129
331527
4107527
5424827
done500027
01011
11511
22411
33911
44311
54711
65511
78211
813311
923211
1025111
1126611
1228811
1328911
done28911
01619
12719
25319
310017
421917
541417
652017
753517
done53517
01619
12519
25119
38519
413119
514919
done14919
01839
12739
24239
36039
done6039
01720
12420
23920
35720
45920
done5920
02041
13541
27141
311841
414841
518241
620541
721541
done21541
01930
13030
25330
38430
49230
59830
610130
done10130
01221
12119
24119
37619
48419
59319
610819
711119
done11119
01932
13032
25232
37832
48632
59532
610132
710632
done10632
01821
12721
24521
36421
46621
56821
66921
done6921
01112
11810
23110
34410
done4410
01425
12425
23923
36023
48223
511423
612623
done12623
01314
12114
23212
34912
45612
56112
done6112
045
183
2131
done131
033
151
done51
089
1119
2189
3269
done269
01923
14423
210723
333923
4134723
done500023
01829
13829
29929
331129
4102029
5370429
done500129
01720
12620
25220
38620
413220
515620
done15620
01720
12620
25220
38620
413220
515620
done15620
01619
12519
25119
38519
413119
514919
done14919
089
1119
2189
3269
done269
067
197
2177
3207
done207
089
1119
done119
078
1138
2228
3258
done258
078
1128
2308
3488
4838
51738
64568
713298
848318
done50008
01023
13123
210711
337511
414279
done50009
0817
11117
21917
32217
done2217
078
1108
2188
3218
done218
0823
12123
2829
33119
48779
523379
done50019
078
1108
2188
3218
done218
078
1108
2188
3218
done218
089
1119
done119
089
1119
done119
0811
11311
22311
34311
45911
56111
done6111
078
1108
2188
3268
done268
077
1125
2235
3395
4495
done495
078
1108
done108
078
1108
done108
067
197
2177
3207
done207
0911
12811
27411
318611
440511
5120211
done500011
0813
12213
25013
310413
422213
536613
659613
7112913
8411113
done500113
02023
13222
26122
312622
428822
556922
6117322
7397622
done500122
01922
12922
25522
311022
422022
533822
643522
753522
861422
963322
done63322
01922
13222
26122
312622
429022
557722
6117422
7397722
done500022
02045
13045
25645
311145
422345
533945
643845
753745
861645
963645
done63645
01922
12922
25522
311022
422022
533822
643522
753522
861422
963322
done63322
02065
14365
211723
344423
4253523
done500123
01922
12922
25522
311022
422022
533822
643522
753522
861422
963322
done63322
01922
12922
25522
311022
422022
533822
643522
753522
861422
963322
done63322
02125
14725
211625
338425
4198925
done500025
02265
14545
211945
341645
4181145
done500045
02043
13843
29243
333843
4168143
done500043
01821
12921
26221
313721
435221
580721
6137121
7208921
8358521
done500021
01821
12821
25421
310921
422121
533921
643621
753721
861821
963721
done63721
01011
12211
25111
37411
41069
51389
61879
72809
85009
914379
done50009
01315
13015
26611
312111
425611
57199
636269
done50009
01315
13015
26611
312111
425611
57199
636269
done50009
01417
13317
28615
315013
421011
529311
649311
784511
8115511
9220711
done500111
01417
13117
27117
312317
419413
529713
641813
761413
892013
9198011
done500011
01417
13117
27117
312317
419413
529713
641813
761413
892013
9198011
done500011
089
1169
2329
3379
4477
5597
6817
71427
83537
912817
done50007
089
1169
2329
3379
4477
5597
6817
71427
83537
912817
done50007
089
1169
2329
3379
4477
5597
6817
71427
83537
912817
done50007
01011
12011
2459
3789
4899
51009
61239
71509
81799
91939
102309
113019
123029
done3029
01011
11811
22711
33311
4389
5409
done409
01011
11811
22711
33311
4389
5409
done409

prune355.0ms

Filtered
129 candidates to 153 candidates (-18.6%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1521153
Fresh022
Picked011
Done011
Total1525157

Merged error: 0.0b

Counts
157 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 14.431876219268938 (/ (- (/ 101.23733352003816 z) 15.646356830292035) z))
0.0b
(+ x (/ y (+ 14.431876219268938 (/ (- (/ 101.23733352003816 z) 15.646356830292035) z))))
0.0b
(/ (- (/ 101.23733352003816 z) 15.646356830292035) z)
3.1b
(/ y (+ 14.431876219268938 (/ (- (/ 101.23733352003816 z) 15.646356830292035) z)))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt *-un-lft-identity
34×times-frac
24×add-cube-cbrt
associate-/l*
add-exp-log add-cbrt-cube add-log-exp difference-of-squares
associate-/r*
distribute-lft-out
pow1 distribute-lft-out--
flip3-+ flip-+
cbrt-undiv +-commutative frac-2neg div-sub div-exp clear-num sum-log associate-/r/ div-inv associate-/l/
associate-+r- flip3-- flip--
Counts
4 → 100
Calls
4 calls:
14.0ms
(+ 14.431876219268938 (/ (- (/ 101.23733352003816 z) 15.646356830292035) z))
20.0ms
(+ x (/ y (+ 14.431876219268938 (/ (- (/ 101.23733352003816 z) 15.646356830292035) z))))
11.0ms
(/ (- (/ 101.23733352003816 z) 15.646356830292035) z)
20.0ms
(/ y (+ 14.431876219268938 (/ (- (/ 101.23733352003816 z) 15.646356830292035) z)))

series56.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(+ 14.431876219268938 (/ (- (/ 101.23733352003816 z) 15.646356830292035) z))
30.0ms
(+ x (/ y (+ 14.431876219268938 (/ (- (/ 101.23733352003816 z) 15.646356830292035) z))))
6.0ms
(/ (- (/ 101.23733352003816 z) 15.646356830292035) z)
16.0ms
(/ y (+ 14.431876219268938 (/ (- (/ 101.23733352003816 z) 15.646356830292035) z)))

simplify1.1min

Counts
112 → 112
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01213
12013
23013
34013
45013
55913
66413
77313
89213
911913
1013613
1114313
1214813
done14813
01112
12012
23112
34212
45212
56112
66612
77512
89412
912112
1013812
1114512
1215012
done15012
01112
11712
22612
33612
44612
55512
66012
76912
88812
911512
1013212
1113912
1214412
done14412
01435
14135
212015
335813
4148613
done500013
01225
11825
22725
33725
44725
55625
66125
77025
88925
911625
1013325
1114025
1214525
done14525
01112
11712
22612
33612
44612
55512
66012
76912
88812
911512
1013212
1113912
1214412
done14412
01235
12535
25013
311013
427713
5121613
done500013
01112
11712
22612
33612
44612
55512
66012
76912
88812
911512
1013212
1113912
1214412
done14412
01112
11712
22612
33612
44612
55512
66012
76912
88812
911512
1013212
1113912
1214412
done14412
022
done22
0910
11810
23110
35110
4859
51079
61169
71329
81589
91689
101699
done1699
01427
12627
24427
36027
47027
57927
68427
79327
811227
913927
1015627
1116327
1216827
done16827
01213
11813
22713
33713
44713
55613
66113
77013
88913
911613
1013313
1114013
1214513
done14513
01316
12116
23216
34316
45316
56216
66716
77616
89516
912216
1013916
1114616
1215116
done15116
01213
11813
22713
33713
44713
55613
66113
77013
88913
911613
1013313
1114013
1214513
done14513
057
195
2155
3205
done205
01112
11712
22612
33612
44612
55512
66012
76912
88812
911512
1013212
1113912
1214412
done14412
057
195
2155
3205
done205
01112
11712
22612
33612
44612
55512
66012
76912
88812
911512
1013212
1113912
1214412
done14412
01324
12124
23024
34024
45024
55924
66424
77324
89224
911924
1013624
1114324
1214824
done14824
01213
11813
22713
33713
44713
55613
66113
77013
88913
911613
1013313
1114013
1214513
done14513
01213
11813
22713
33713
44713
55613
66113
77013
88913
911613
1013313
1114013
1214513
done14513
01213
11813
22713
33713
44713
55613
66113
77013
88913
911613
1013313
1114013
1214513
done14513
044
162
282
done82
01112
11712
22612
33612
44612
55512
66012
76912
88812
911512
1013212
1113912
1214412
done14412
044
162
282
done82
01112
11712
22612
33612
44612
55512
66012
76912
88812
911512
1013212
1113912
1214412
done14412
01223
12223
23123
34123
45123
56023
66523
77423
89323
912023
1013723
1114423
1214923
done14923
01112
11712
22612
33612
44612
55512
66012
76912
88812
911512
1013212
1113912
1214412
done14412
01112
11912
22812
33812
44812
55712
66212
77112
89012
911712
1013412
1114112
1214612
done14612
01112
11712
22612
33612
44612
55512
66012
76912
88812
911512
1013212
1113912
1214412
done14412
023
141
done41
01011
11611
22511
33511
44511
55411
65911
76811
88711
911411
1013111
1113811
1214311
done14311
023
141
done41
01011
11611
22511
33511
44511
55411
65911
76811
88711
911411
1013111
1113811
1214311
done14311
01011
11811
22711
33711
44711
55611
66111
77011
88911
911611
1013311
1114011
1214511
done14511
01011
11611
22511
34111
46211
59311
611611
715211
818711
924511
1029811
1131711
1233411
1333911
done33911
01223
12023
22923
33923
44923
55823
66323
77223
89123
911823
1013523
1114223
1214723
done14723
01112
11712
22612
33612
44612
55512
66012
76912
88812
911512
1013212
1113912
1214412
done14412
033
151
done51
033
151
done51
01112
11712
22612
34212
46312
59412
611712
715312
818812
924612
1029912
1132012
1233712
1334212
done34212
01112
11712
22612
34212
46312
59412
611712
715312
818812
924612
1029912
1132012
1233712
1334212
done34212
01011
11611
22511
34111
46211
59311
611611
715211
818711
924511
1029811
1131711
1233411
1333911
done33911
01315
13515
26615
318315
459915
5200815
done500015
01221
12621
25821
317321
457521
5168821
done500221
089
1129
2149
done149
078
1158
2228
3258
done258
078
1128
2208
3248
4278
5338
6378
7538
8578
9668
10798
111038
121298
131448
141518
151578
done1578
01023
12123
26911
32139
46259
523419
done50009
0817
11317
21817
32017
done2017
078
1128
2178
3198
done198
0823
12023
2539
31869
46429
520529
done50019
078
1128
2178
3198
done198
078
1128
2178
3198
done198
066
186
2126
3166
4175
done175
022
done22
045
165
done65
033
done33
01019
11819
22819
33419
done3419
089
1109
2119
done119
0916
11316
21616
31716
done1716
089
1109
2119
done119
0915
11513
22213
32713
done2713
078
198
2108
done108
0912
11312
21412
done1412
089
1109
2119
done119
089
1109
2119
done119
089
1109
2119
done119
088
1126
2156
done156
078
198
2108
done108
057
197
done97
078
1128
2178
3228
done228
044
164
done64
078
1128
2178
3228
done228
023
141
done41
067
1117
2167
3187
done187
01013
11313
done1313
0910
11410
21710
31910
done1910
0910
11010
done1010
0910
11410
21710
31910
done1910
099
1127
2147
done147
089
1139
2169
3189
done189
01114
11414
done1414
01011
11511
22011
32511
done2511
0911
11011
done1011
0911
11411
21911
32110
done2110
01010
1138
2158
done158
0910
11410
21910
32410
done2410
057
197
done97
078
1128
2178
3228
done228
044
164
done64
078
1128
2178
3228
done228
023
141
done41
067
1117
2167
3187
done187
033
153
done53
067
187
297
done97
0811
11511
22511
33611
44511
done4511
078
1128
2178
3228
done228
077
1145
2215
3265
done265
078
198
2108
done108
078
198
2108
done108
067
187
297
done97
089
1109
2119
done119
0910
11110
21210
done1210
067
187
297
done97
01019
13017
27217
313515
421315
529313
678713
7396613
done500013
067
1147
2197
3237
4257
5285
done285
01415
12314
23314
34314
45314
56214
66714
77614
89514
912214
1013914
1114614
1215114
done15114
01314
12014
22914
33914
44914
55814
66314
77214
89114
911814
1013514
1114214
1214714
done14714
01314
12314
23314
34314
45314
56214
66714
77614
89514
912214
1013914
1114614
1215114
done15114
01429
12129
23029
34029
45029
55929
66429
77329
89229
911929
1013629
1114329
1214829
done14829
01314
12014
22914
33914
44914
55814
66314
77214
89114
911814
1013514
1114214
1214714
done14714
01441
13441
28315
320115
449415
5135415
6329415
done500015
01314
12014
22914
33914
44914
55814
66314
77214
89114
911814
1013514
1114214
1214714
done14714
01314
12014
22914
33914
44914
55814
66314
77214
89114
911814
1013514
1114214
1214714
done14714
01517
13817
27417
316517
448817
5199617
done500117
01641
13629
27229
313229
426929
584429
6246129
done500129
01427
12927
25327
310927
424727
583827
6251527
done500127
01213
12013
23213
34213
45213
56113
66613
77513
89413
912113
1013813
1114513
1215013
done15013
01213
11913
22813
33813
44813
55713
66213
77113
89013
911713
1013413
1114113
1214613
done14613
01011
11810
22910
34510
46910
59710
612810
721310
830710
944110
1049210
1150310
1250410
done50410
0910
11510
22410
33410
44410
55310
65810
76710
88610
911310
1013010
1113710
1214210
done14210
0910
11810
23110
35110
47810
511010
614710
726110
840510
946510
1047910
1148610
1248710
done48710
01021
11621
22521
33521
44521
55421
65921
76821
88721
911421
1013121
1113821
1214321
done14321
0910
11510
22410
33410
44410
55310
65810
76710
88610
911310
1013010
1113710
1214210
done14210
01029
12929
27811
324811
4119911
done500011
0910
11510
22410
33410
44410
55310
65810
76710
88610
911310
1013010
1113710
1214210
done14210
0910
11510
22410
33410
44410
55310
65810
76710
88610
911310
1013010
1113710
1214210
done14210
01113
13313
26413
318113
460013
5202213
done500013
01229
13121
27721
320921
461221
5171221
6446421
done500021
01019
12419
25419
316719
456919
5168119
done500019
089
1159
2259
3379
4579
5619
6699
7849
81149
91319
101349
done1349
089
1149
2239
3339
4439
5529
6579
7669
8859
91129
101299
111369
121419
done1419
067
197
done97
01923
15023
215121
335017
497517
5324915
done500015
01417
13117
27117
312317
419413
529713
641813
761413
892013
9198011
done500011
01417
13117
27117
312317
419413
529713
641813
761413
892013
9198011
done500011
01113
12513
2559
31069
42289
56257
628707
done50017
01113
12513
2559
31069
42289
56257
628707
done50017
01113
12513
2559
31069
42289
56257
628707
done50017
011
done11
01011
11811
22711
33311
4389
5409
done409
01011
11811
22711
33311
4389
5409
done409
01315
13015
26611
312111
425611
57199
636269
done50009
01315
13015
26611
312111
425611
57199
636269
done50009
01315
13015
26611
312111
425611
57199
636269
done50009

prune161.0ms

Filtered
84 candidates to 112 candidates (-33.3%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1120112
Fresh022
Picked011
Done022
Total1125117

Merged error: 0.0b

Counts
117 → 5

regimes227.0ms

Accuracy

99.5% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 16.0b

bsearch40.0ms

Steps
ItersRangePoint
8
581391.78906282
15273892916.397661
178736421.5097445
8
-1.1749895509508323e+115
-9.408497984883987e+110
-1.1487704036659778e+115

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
02947
14439
done4439

end0.0ms

sample815.0ms

Algorithm
intervals
Results
475.0ms8000×body80valid

Profiling

Loading profile data...