Details

Time bar (total: 14.3min)

sample21.0ms

Algorithm
intervals
Results
13.0ms256×body80valid

simplify12.1s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01619
13119
24619
35919
47519
58319
69219
711419
814419
917519
1021919
1133119
1259819
13108519
14122219
15135919
16191319
17284119
18378619
19438119
20455519
21455619
done455619

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 1.0 (* x (+ 0.99229 (* x 0.04481))))
0.0b
(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
0.0b
(* x (+ 0.99229 (* x 0.04481)))
15.1b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
18×*-un-lft-identity
16×add-cube-cbrt
10×add-exp-log times-frac add-cbrt-cube
associate-*r*
pow1
associate-*l* add-log-exp
distribute-rgt-in distribute-lft-in flip3-+ associate-*r/ flip-+
associate-/r* associate-/l*
sub-neg associate-+r+ pow-prod-down prod-exp associate-/r/ *-commutative cbrt-unprod associate-/l/ difference-of-squares unswap-sqr
cbrt-undiv +-commutative flip3-- frac-2neg div-exp clear-num sum-log flip-- div-inv distribute-lft-out--
Counts
4 → 93
Calls
4 calls:
3.0ms
(+ 1.0 (* x (+ 0.99229 (* x 0.04481))))
15.0ms
(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
7.0ms
(* x (+ 0.99229 (* x 0.04481)))
8.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series34.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(+ 1.0 (* x (+ 0.99229 (* x 0.04481))))
10.0ms
(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
15.0ms
(* x (+ 0.99229 (* x 0.04481)))
5.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify3.3min

Counts
105 → 105
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01517
12917
23817
34217
done4217
01416
12916
23916
34416
done4416
01416
12616
23416
33816
done3816
01747
16247
220619
379717
4362617
done500017
01533
12733
23533
33933
done3933
01416
12616
23416
33816
done3816
01547
13447
27417
316617
445517
5144117
done500017
01416
12616
23416
33816
done3816
01416
12616
23416
33816
done3816
066
1116
2196
3206
done206
0910
12210
24110
38210
411210
512610
615310
721110
829510
930710
1030810
done30810
01735
13535
25235
36235
done6235
01517
12717
23517
33917
done3917
01624
13024
24024
34524
done4524
01517
12717
23517
33917
done3917
0915
11513
22113
32613
done2613
01416
12616
23416
33816
done3816
01628
13028
23828
34228
done4228
01517
12717
23517
33917
done3917
01517
12717
23517
33917
done3917
01517
12717
23517
33917
done3917
088
1126
2146
done146
01416
12616
23416
33816
done3816
01223
12623
23423
33823
done3823
01416
12616
23416
33816
done3816
01112
12312
23112
33512
done3512
01416
12616
23416
33816
done3816
023
141
done41
01315
12515
23315
33715
done3715
01011
12211
23011
33411
done3411
01315
12515
23315
33715
done3715
01527
12927
23727
34127
done4127
01416
12616
23416
33816
done3816
077
1115
2135
done135
01416
12616
23416
33816
done3816
01416
12616
23416
33816
done3816
01315
12515
23315
33715
done3715
01619
14419
29719
335519
4105619
5300019
done500019
01525
13825
210525
333825
4101925
5264725
done500025
01727
15223
214023
351323
4231223
done500023
01315
12715
25615
315315
451715
5123115
6246515
7479915
done500015
067
1157
2197
done197
089
1119
done119
078
1198
2248
done248
078
1188
2318
3528
4948
52518
67318
725888
done50008
01023
13123
212611
349411
418059
done50009
0817
11717
22117
done2117
078
1168
2208
done208
0823
12723
21019
33879
410599
529939
done50009
078
1168
2208
done208
078
1168
2208
done208
089
1119
done119
089
1119
done119
033
143
done43
045
185
295
done95
033
143
done43
045
165
295
done95
0815
11315
21515
done1515
078
1108
done108
033
161
done61
078
1168
2258
3278
done278
078
1168
2258
3278
done278
067
1157
2197
done197
0911
13411
29711
324311
449311
5144311
done500011
0813
12213
26213
316113
432213
551513
676613
7130513
8446713
done500013
01619
13119
24619
35919
47519
58319
69219
711419
814419
917519
1021919
1133119
1259819
13108519
14122219
15135919
16191319
17284119
18378619
19438119
20455519
21455619
done455619
01821
13321
24221
34621
done4621
01720
13520
25120
36420
48020
58820
69720
711920
814320
917420
1021820
1133020
1259920
13108720
14122820
15136820
16192020
17284420
18382620
19444520
20466520
21468520
22476220
done500020
01720
13420
25520
38820
414320
528220
661520
7177520
done500120
02059
14159
29323
328523
4102721
5424121
done500021
01841
13341
24841
36141
47741
58541
69641
711841
814641
917741
1022141
1133341
1260041
13108741
14122441
15136441
16192241
17284941
18382941
19442141
20458741
done458741
01720
13220
24720
36020
47620
58420
69320
711520
814520
917620
1022020
1133220
1259920
13108620
14122420
15136420
16191220
17284120
18382920
19442320
20459820
done459820
01859
14359
210521
332021
4104021
5380721
done500121
01720
13220
24720
36020
47620
58420
69320
711520
814520
917620
1022020
1133220
1259920
13108620
14122420
15136420
16191220
17284120
18382920
19442320
20459820
done459820
01720
13220
24720
36020
47620
58420
69320
711520
814520
917620
1022020
1133220
1259920
13108620
14122420
15136420
16191220
17284120
18382920
19442320
20459820
done459820
01821
13321
24221
34621
done4621
01821
13321
24221
34621
done4621
01517
13017
24917
36517
47417
58417
610217
712617
814417
915217
done15217
044
174
2104
3114
done114
01517
13017
24917
36517
47417
58417
610217
712617
814417
915217
done15217
044
174
2104
3114
done114
01517
13017
24117
35517
46517
57617
68617
710417
812817
914617
1015417
done15417
044
174
2104
3114
done114
01517
13017
24117
35517
46517
57617
68617
710417
812817
914617
1015417
done15417
044
174
2104
3114
done114
01839
13539
24639
35039
done5039
01720
13220
24120
34520
done4520
033
161
done61
01821
13821
24721
35121
done5121
01922
13922
25222
36022
46222
56322
done6322
033
161
done61
01720
13220
24720
36020
47620
58420
69320
711520
814520
917620
1022020
1133220
1259920
13108620
14124620
15138520
16191520
17288820
18394920
19474920
20493920
done493920
01720
13220
24720
36020
47620
58420
69320
711520
814520
917620
1022020
1133220
1259920
13108620
14124620
15138520
16191520
17288820
18394920
19474920
20493920
done493920
01619
13119
24619
35919
47519
58319
69219
711419
814419
917519
1021919
1133119
1259819
13108519
14122219
15135919
16191319
17284119
18378619
19438119
20455519
21455619
done455619
01923
15023
210323
331423
4117023
done500123
01837
14037
27837
316537
440037
596437
6255837
done500137
01011
12410
24010
37710
413910
538210
6125610
done500010
0910
11910
22710
33110
done3110
0910
12210
23810
37010
411310
530610
6106010
7449510
done500010
01021
12021
22821
33221
done3221
0910
11910
22710
33110
done3110
01029
13329
210111
347311
4260011
done500011
0910
11910
22710
33110
done3110
0910
11910
22710
33110
done3110
01113
13713
29013
334413
4111113
5304613
done500013
01229
13821
212721
341521
4115121
5293121
done500021
01019
13119
29619
332819
4100619
5264119
done500019
089
1199
2359
3659
4899
51039
61459
72359
82659
done2659
055
175
done75
055
175
done75
01011
12211
25111
36211
4829
51209
61899
73139
85499
914949
done50009
01721
14321
210715
326915
486515
5282513
done500113
01721
14321
210715
326915
486515
5282513
done500113
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
12211
25111
36211
4829
51209
61899
73139
85499
914949
done50009
01417
13217
26213
313513
432113
596111
6474111
done500011
01417
13217
26213
313513
432113
596111
6474111
done500011
01011
12111
24311
35011
4609
5729
6949
71519
83629
912969
done50009
01011
12111
24311
35011
4609
5729
6949
71519
83629
912969
done50009
01011
12111
24311
35011
4609
5729
6949
71519
83629
912969
done50009

prune208.0ms

Filtered
83 candidates to 105 candidates (-26.5%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1014105
Fresh000
Picked101
Done000
Total1024106

Merged error: 0.0b

Counts
106 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 1.0 (* x (+ 0.99229 (* x 0.04481))))
0.0b
(* x (+ 0.99229 (* x 0.04481)))
0.1b
(* 0.70711 (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
15.1b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite38.0ms

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/
associate-*r/ prod-exp associate-/r* cbrt-unprod associate-/l* unswap-sqr
cbrt-undiv distribute-rgt-in associate-+r+ distribute-lft-in div-exp pow-prod-down *-commutative div-inv associate-/l/
+-commutative frac-2neg clear-num sum-log
Counts
4 → 100
Calls
4 calls:
4.0ms
(+ 1.0 (* x (+ 0.99229 (* x 0.04481))))
6.0ms
(* x (+ 0.99229 (* x 0.04481)))
17.0ms
(* 0.70711 (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
8.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series22.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(+ 1.0 (* x (+ 0.99229 (* x 0.04481))))
7.0ms
(* x (+ 0.99229 (* x 0.04481)))
6.0ms
(* 0.70711 (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
6.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify1.7min

Counts
112 → 112
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01517
12917
23817
34217
done4217
01416
12916
23916
34416
done4416
01416
12616
23416
33816
done3816
01747
16247
220619
379717
4362617
done500017
01533
12733
23533
33933
done3933
01416
12616
23416
33816
done3816
01547
13447
27417
316617
445517
5144117
done500017
01416
12616
23416
33816
done3816
01416
12616
23416
33816
done3816
066
1116
2196
3206
done206
0910
12210
24110
38210
411210
512610
615310
721110
829510
930710
1030810
done30810
01735
13535
25235
36235
done6235
01517
12717
23517
33917
done3917
01624
13024
24024
34524
done4524
01517
12717
23517
33917
done3917
0915
11513
22113
32613
done2613
01416
12616
23416
33816
done3816
01628
13028
23828
34228
done4228
01517
12717
23517
33917
done3917
01517
12717
23517
33917
done3917
01517
12717
23517
33917
done3917
088
1126
2146
done146
01416
12616
23416
33816
done3816
01223
12623
23423
33823
done3823
01416
12616
23416
33816
done3816
01112
12312
23112
33512
done3512
01416
12616
23416
33816
done3816
023
141
done41
01315
12515
23315
33715
done3715
01011
12211
23011
33411
done3411
01315
12515
23315
33715
done3715
01527
12927
23727
34127
done4127
01416
12616
23416
33816
done3816
077
1115
2135
done135
01416
12616
23416
33816
done3816
01416
12616
23416
33816
done3816
01315
12515
23315
33715
done3715
01619
14419
29719
335519
4105619
5300019
done500019
01525
13825
210525
333825
4101925
5264725
done500025
01727
15223
214023
351323
4231223
done500023
01315
12715
25615
315315
451715
5123115
6246515
7479915
done500015
01517
13017
24917
36517
47417
58417
610217
712617
814417
915217
done15217
01820
13520
25020
36320
46920
57920
68620
79820
812120
913520
1014120
done14120
01719
13319
24719
36019
47019
57919
68419
79319
811019
912919
1013719
done13719
01618
13418
25918
38518
411518
513918
616718
720918
824318
926018
1027818
1128118
1228418
1328918
1429418
done29418
01618
13318
25818
38418
415318
531418
666918
7206118
done500018
02153
17253
226823
3123321
done500221
01953
14453
211721
335721
4142419
done500019
01737
13237
25137
36737
47637
58637
610437
712837
814637
915437
done15437
01618
13118
25018
36618
47518
58518
610318
712718
814518
915318
done15318
01753
14253
211219
337219
4136319
done500019
01618
13118
25018
36618
47518
58518
610318
712718
814518
915318
done15318
01618
13118
25018
36618
47518
58518
610318
712718
814518
915318
done15318
01719
13019
23819
34219
done4219
01719
13019
23819
34219
done4219
01820
13320
24420
35220
45320
done5320
01820
13320
24420
35220
45320
done5320
01735
13235
24235
34635
done4635
01618
12918
23718
34118
done4118
01937
14037
27737
312037
417637
519037
done19037
01826
13526
25326
37226
48526
58726
done8726
01117
12015
23715
37415
410415
done10415
01830
13530
25430
37230
48430
done8430
01719
13219
24319
35119
45219
done5219
01010
1178
2248
3338
4398
done398
01425
13125
24923
36123
47923
511023
611523
done11523
01314
12814
23912
34412
44912
55012
done5012
045
193
2141
done141
033
161
done61
077
1167
2257
3277
done277
01821
14921
211321
337821
4111721
5307021
done500121
01727
14327
212627
339527
4115727
5312827
done500027
01618
13118
25018
36618
47518
58518
610318
712718
814518
915318
done15318
01618
13118
25018
36618
47518
58518
610318
712718
814518
915318
done15318
01517
13017
24917
36517
47417
58417
610217
712617
814417
915217
done15217
077
1167
2257
3277
done277
067
1157
2197
done197
089
1119
done119
078
1198
2248
done248
078
1188
2318
3528
4948
52518
67318
725888
done50008
01023
13123
212611
349411
418059
done50009
0817
11717
22117
done2117
078
1168
2208
done208
0823
12723
21019
33879
410599
529939
done50009
078
1168
2208
done208
078
1168
2208
done208
089
1119
done119
089
1119
done119
033
143
done43
045
185
295
done95
033
143
done43
045
165
295
done95
0815
11315
21515
done1515
078
1108
done108
033
161
done61
078
1168
2258
3278
done278
078
1168
2258
3278
done278
067
1157
2197
done197
0911
13411
29711
324311
449311
5144311
done500011
0813
12213
26213
316113
432213
551513
676613
7130513
8446713
done500013
01011
12410
24010
37710
413910
538210
6125610
done500010
0910
11910
22710
33110
done3110
0910
12210
23810
37010
411310
530610
6106010
7449510
done500010
01021
12021
22821
33221
done3221
0910
11910
22710
33110
done3110
01029
13329
210111
347311
4260011
done500011
0910
11910
22710
33110
done3110
0910
11910
22710
33110
done3110
01113
13713
29013
334413
4111113
5304613
done500013
01229
13821
212721
341521
4115121
5293121
done500021
01019
13119
29619
332819
4100619
5264119
done500019
089
1199
2359
3659
4899
51039
61459
72359
82659
done2659
055
175
done75
055
175
done75
01011
12211
25111
36211
4829
51209
61899
73139
85499
914949
done50009
01721
14321
210715
326915
486515
5282513
done500113
01721
14321
210715
326915
486515
5282513
done500113
01011
12211
25111
36211
4829
51209
61899
73139
85499
914949
done50009
01721
14321
210715
326915
486515
5282513
done500113
01721
14321
210715
326915
486515
5282513
done500113
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
35011
4609
5729
6949
71519
83629
912969
done50009
01011
12111
24311
35011
4609
5729
6949
71519
83629
912969
done50009
01011
12111
24311
35011
4609
5729
6949
71519
83629
912969
done50009

prune237.0ms

Filtered
92 candidates to 112 candidates (-21.7%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1120112
Fresh033
Picked011
Done000
Total1124116

Merged error: 0.0b

Counts
116 → 4

localize22.0ms

Local error

Found 4 expressions with local error:

7.5b
(/ (* (cbrt (+ 2.30753 (* x 0.27061))) (cbrt (+ 2.30753 (* x 0.27061)))) (* (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))
15.4b
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
15.4b
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
15.4b
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
30×cbrt-div
16×add-exp-log
15×flip3-+ flip-+
cbrt-prod
frac-times associate-/r/ add-cbrt-cube associate-/l/
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 cbrt-undiv associate-*r/ div-exp associate-*l/ prod-exp cbrt-unprod add-log-exp
pow1/3
frac-2neg times-frac clear-num associate-/r* div-inv associate-/l*
Counts
4 → 76
Calls
4 calls:
20.0ms
(/ (* (cbrt (+ 2.30753 (* x 0.27061))) (cbrt (+ 2.30753 (* x 0.27061)))) (* (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))
3.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
3.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
3.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series50.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(/ (* (cbrt (+ 2.30753 (* x 0.27061))) (cbrt (+ 2.30753 (* x 0.27061)))) (* (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))
10.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
15.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
11.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify1.8min

Counts
88 → 88
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01011
12011
22811
33211
done3211
01011
12011
22811
33211
done3211
01122
12122
22922
33322
done3322
01011
12011
22811
33211
done3211
01011
12011
22811
33211
done3211
01011
12011
22811
33211
done3211
022
141
done41
0910
11910
22710
33110
done3110
01214
13814
29114
335714
4106914
5303514
done500014
01330
13922
212822
341322
4114522
5292322
done500022
01120
13220
29720
333120
4101220
5264620
done500020
0910
12010
23610
36610
49010
510410
614610
723610
826610
done26610
01123
12123
22923
33323
done3323
01011
12011
22811
33211
done3211
01132
12232
23212
3419
4479
5579
6789
71389
83419
912579
done50009
01011
12011
22811
33211
done3211
01011
12011
22811
33211
done3211
01011
12011
22811
33211
done3211
01011
12011
22811
33211
done3211
01122
12122
22922
33322
done3322
01011
12011
22811
33211
done3211
01011
12011
22811
33211
done3211
01011
12011
22811
33211
done3211
022
141
done41
0910
11910
22710
33110
done3110
01214
13814
29114
335714
4106914
5303514
done500014
01330
13922
212822
341322
4114522
5292322
done500022
01120
13220
29720
333120
4101220
5264620
done500020
0910
12010
23610
36610
49010
510410
614610
723610
826610
done26610
01123
12123
22923
33323
done3323
01011
12011
22811
33211
done3211
01132
12232
23212
3419
4479
5579
6789
71389
83419
912579
done50009
01011
12011
22811
33211
done3211
01011
12011
22811
33211
done3211
01011
12011
22811
33211
done3211
01011
12011
22811
33211
done3211
01122
12122
22922
33322
done3322
01011
12011
22811
33211
done3211
01011
12011
22811
33211
done3211
01011
12011
22811
33211
done3211
022
141
done41
0910
11910
22710
33110
done3110
01214
13814
29114
335714
4106914
5303514
done500014
01330
13922
212822
341322
4114522
5292322
done500022
01120
13220
29720
333120
4101220
5264620
done500020
0910
12010
23610
36610
49010
510410
614610
723610
826610
done26610
01123
12123
22923
33323
done3323
01011
12011
22811
33211
done3211
01132
12232
23212
3419
4479
5579
6789
71389
83419
912579
done50009
01011
12011
22811
33211
done3211
01011
12011
22811
33211
done3211
01939
14023
26521
38721
411021
514321
620121
724421
825221
done25221
01938
13932
25823
38121
410421
513521
620221
724121
826221
926321
done26321
01938
13928
26423
38821
410621
513721
618021
724921
826521
done26521
01937
13737
25723
38121
49721
512221
616721
722921
825721
925921
done25921
01836
13936
26836
310120
414020
517420
622820
727020
830720
931020
done31020
01836
13636
25536
37136
48336
511536
619536
741736
8172236
done500036
01531
14531
211031
334931
498931
5294031
done500131
01877
15177
212535
330524
466824
5197624
done500124
01861
15161
213335
344228
4131928
5402228
done500128
021107
156107
219839
399621
4348521
done500021
01973
13773
25473
36473
done6473
01836
13636
25336
36336
done6336
019107
144107
213037
350337
4187819
5447319
done500019
01836
13636
25418
36418
done6418
01836
13636
25418
36418
done6418
0814
11314
done1314
01122
12422
23222
33622
done3622
01517
12717
23517
33917
done3917
01517
12717
23517
33917
done3917
01223
12623
23423
33823
done3823
01735
13535
25235
36235
done6235
01624
13024
24024
34524
done4524
01628
13028
24028
34528
done4528
02043
15443
211643
337443
4110043
5310143
done500043
02449
17049
218949
362949
4189649
done500049
02449
17049
218949
363549
4194549
done500049
01955
14855
212255
336155
4104055
5268855
done500055
02239
15939
212939
339939
4110939
5310039
done500039
02145
15245
213145
337645
4107145
5282845
done500145
02239
15939
212939
339939
4110839
5305039
done500039
02145
15245
213145
338145
4107745
5283545
done500045
02159
15651
211651
317551
420751
522851
624951
730251
844951
971251
1077251
1178451
1281051
1384851
1487051
1590251
1693351
1794751
1895051
done95051
02347
15943
212643
319143
421843
523843
625943
731243
845943
972243
1078243
1179643
1282243
1386243
1488443
1591643
1694743
1796143
1896443
done96443
02347
15943
212643
319143
421843
523843
625943
731243
845943
972243
1078243
1179643
1282243
1386243
1488443
1591643
1694743
1796143
1896443
done96443
01735
13735
26335
36835
done6835
02040
15136
210236
315936
419136
521236
623336
728636
843336
969636
1075636
1176836
1279436
1383236
1485436
1588636
1691736
1793136
1893436
done93436
01628
13228
24928
35328
done5328
02040
15136
210236
315936
419136
521236
623336
728636
843336
969636
1075636
1176836
1279436
1383236
1485436
1588636
1691736
1793136
1893436
done93436
01628
13228
24928
35328
done5328
02335
16131
219028
363426
4252225
done500125
02771
16667
220067
378645
done500135
02771
16471
219771
353051
4198735
done500135
02335
16131
219028
363426
4252225
done500125
02771
16667
220067
378645
done500135
02771
16471
219771
353051
4198735
done500135
02335
16131
219028
363426
4252225
done500125
02771
16667
220067
378645
done500135
02771
16471
219771
353051
4198735
done500135
02335
16131
218030
355927
4222826
done500026
02771
17167
219867
386245
done500035
02771
16971
219571
355945
4243237
done500037

prune443.0ms

Filtered
79 candidates to 88 candidates (-11.4%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New87188
Fresh022
Picked101
Done011
Total88492

Merged error: 0b

Counts
92 → 4

localize21.0ms

Local error

Found 4 expressions with local error:

1.1b
(pow (/ (cbrt (+ 2.30753 (* x 0.27061))) (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) 6)
15.4b
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
15.4b
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
15.7b
(cbrt (pow (/ (cbrt (+ 2.30753 (* x 0.27061))) (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) 6))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
124×cbrt-prod
84×unpow-prod-down
72×times-frac
58×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
cbrt-div
add-exp-log
pow1
flip3-+ associate-/r/ add-cbrt-cube flip-+ add-log-exp
pow-unpow pow1/3
pow-exp div-inv sqr-pow
pow-to-exp pow-pow div-exp
Counts
4 → 137
Calls
4 calls:
12.0ms
(pow (/ (cbrt (+ 2.30753 (* x 0.27061))) (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) 6)
3.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
3.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
13.0ms
(cbrt (pow (/ (cbrt (+ 2.30753 (* x 0.27061))) (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) 6))

series58.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(pow (/ (cbrt (+ 2.30753 (* x 0.27061))) (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) 6)
10.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
10.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
14.0ms
(cbrt (pow (/ (cbrt (+ 2.30753 (* x 0.27061))) (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) 6))

simplify7.2min

Counts
149 → 149
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01921
13621
25621
310321
430821
5213121
done500121
01921
13621
25621
310321
430821
5213121
done500121
02040
13740
25640
310240
428021
5107620
done500020
01921
13621
25321
38221
415421
535221
697320
7361720
done500020
01921
13621
25321
37821
414720
535117
6112316
7487616
done500016
01921
13621
25321
37821
414720
535117
6112316
7487616
done500016
02240
13940
25940
310640
432540
5293640
done500040
02022
13722
25722
310422
429122
5191922
done500122
02129
13829
25829
310529
430929
5235829
done500129
02022
13722
25722
310422
429122
5191922
done500122
01420
12319
23519
37319
422919
583416
625469
done50009
01921
13621
25621
310321
429621
5193121
done500021
02241
14141
26441
313441
458041
done500041
02022
13722
25722
310422
429122
5191922
done500122
02129
13829
25829
310529
430929
5235929
done500029
02022
13722
25722
310422
429122
5192022
done500022
01319
12217
23517
37417
421316
58929
634799
done50009
01921
13621
25621
310321
429621
5193121
done500021
02133
13833
25833
310533
430633
5233333
done500033
02022
13722
25722
310422
429122
5191922
done500122
02022
13722
25722
310422
429122
5191922
done500122
02022
13722
25722
310422
429122
5191922
done500122
01313
12212
23412
37212
421812
57206
620016
done50006
01921
13621
25621
310321
429621
5193121
done500021
02134
14034
26334
313334
455334
done500034
02022
13722
25722
310422
429122
5191922
done500122
02022
13722
25722
310422
429122
5192022
done500022
02022
13722
25722
310422
429122
5192022
done500022
01212
12110
23410
3636
41556
55766
623766
done50006
01921
13621
25621
310321
429621
5193121
done500021
01728
13427
25427
39627
423827
586427
6369526
done500026
01921
13621
25621
310321
430421
5212721
done500021
01617
13316
25316
39516
422916
576216
6301212
done500012
01921
13621
25621
310321
430421
5212721
done500021
068
1131
done131
01820
13520
25520
310220
430320
5210520
done500120
01729
13628
25928
312428
444827
5315215
done500015
01921
13621
25621
310321
430421
5212721
done500021
01617
13316
25316
39516
422916
576312
6301312
done500012
01921
13621
25621
310321
430421
5212821
done500121
067
1134
2211
3251
done251
01820
13520
25520
310220
430320
5210520
done500120
02241
14141
26641
314741
474141
done500141
02022
13722
25722
310422
429122
5191922
done500122
02130
14030
26530
314630
471430
done500130
02022
13722
25722
310422
429122
5191922
done500122
01421
12520
24220
310718
438916
523199
done50009
01921
13621
25621
310321
429621
5193121
done500021
02242
14542
28242
321642
4147622
done500122
02022
13722
25722
310422
429122
5191922
done500122
02130
14030
26530
314630
471430
done500128
02022
13722
25722
310422
429122
5192022
done500022
01320
12418
24518
312518
447310
531159
done50019
01921
13621
25621
310321
429621
5193121
done500021
02133
13833
25833
310533
430633
5233433
done500033
02022
13722
25722
310422
429122
5192022
done500022
02022
13722
25722
310422
429122
5192022
done500022
02022
13722
25722
310422
429122
5192022
done500022
01313
12212
23412
37212
421811
57256
634576
done50006
01921
13621
25621
310321
429621
5193221
done500121
02134
14034
26334
313334
455334
done500032
02022
13722
25722
310422
429122
5192022
done500022
02022
13722
25722
310422
429122
5192117
done500017
02022
13722
25722
310422
429122
5192117
done500017
01212
12110
23410
36310
41559
55766
623756
done50016
01921
13621
25621
310321
429621
5193221
done500121
01627
13327
25327
39527
423527
586127
6364426
done500126
01921
13621
25621
310321
430421
5212721
done500021
01516
13216
25216
39416
422816
574616
6298512
done500012
01921
13621
25621
310321
430421
5212721
done500021
067
1136
2246
3551
done551
01820
13520
25520
310220
430320
5210520
done500120
01628
13528
25828
312328
444527
5310815
done500015
01921
13621
25621
310321
430421
5212721
done500021
01516
13216
25216
39416
422816
574712
6298612
done500012
01921
13621
25621
310321
430421
5212821
done500121
056
1121
done121
01820
13520
25520
310220
430320
5210520
done500120
044
1111
done111
01820
13520
25520
310220
430320
5210520
done500120
099
1169
2259
3549
41549
54269
611928
744158
done50008
01415
13115
25115
39315
422315
575415
6307714
done500014
02124
15224
211524
341024
4131724
done500024
01633
14725
214525
347825
4180025
done500125
02030
14830
212530
339730
4131230
done500030
01213
12813
25313
311213
432113
5138313
done500113
02042
13742
25742
310442
430742
5212520
done500120
01921
13621
25621
310321
430821
5213121
done500121
01921
13621
25721
310417
430717
5212217
done500017
01921
13621
25721
310417
430717
5212217
done500017
022
141
done41
01820
13520
25520
310220
430320
5210520
done500120
02022
13720
25717
38916
415816
536516
6103416
7441716
done500016
02022
13720
25717
38916
415816
536516
6103416
7441716
done500016
02043
13743
25743
310443
430743
5212543
done500143
01921
13621
25621
310321
430821
5213121
done500121
02062
13862
25922
310819
430519
5212919
done500119
01921
13621
25621
310321
430821
5213121
done500121
01921
13621
25621
310321
430821
5213121
done500121
01011
12011
22811
33211
done3211
01011
12011
22811
33211
done3211
01122
12122
22922
33322
done3322
01011
12011
22811
33211
done3211
01011
12011
22811
33211
done3211
01011
12011
22811
33211
done3211
022
141
done41
0910
11910
22710
33110
done3110
01214
13814
29114
335714
4106914
5303514
done500014
01330
13922
212822
341322
4114522
5292322
done500022
01120
13220
29720
333120
4101220
5264620
done500020
0910
12010
23610
36610
49010
510410
614610
723610
826610
done26610
01123
12123
22923
33323
done3323
01011
12011
22811
33211
done3211
01132
12232
23212
3419
4479
5579
6789
71389
83419
912579
done50009
01011
12011
22811
33211
done3211
01011
12011
22811
33211
done3211
01011
12011
22811
33211
done3211
01011
12011
22811
33211
done3211
01122
12122
22922
33322
done3322
01011
12011
22811
33211
done3211
01011
12011
22811
33211
done3211
01011
12011
22811
33211
done3211
022
141
done41
0910
11910
22710
33110
done3110
01214
13814
29114
335714
4106914
5303514
done500014
01330
13922
212822
341322
4114522
5292322
done500022
01120
13220
29720
333120
4101220
5264620
done500020
0910
12010
23610
36610
49010
510410
614610
723610
826610
done26610
01123
12123
22923
33323
done3323
01011
12011
22811
33211
done3211
01132
12232
23212
3419
4479
5579
6789
71389
83419
912579
done50009
01011
12011
22811
33211
done3211
01011
12011
22811
33211
done3211
01921
13421
24921
35821
46321
done6321
01820
13420
24420
35520
46020
56520
done6520
01820
13420
24420
35520
46020
56520
done6520
033
161
done61
01923
13523
25023
37823
413523
529623
690723
7332223
done500023
01820
13420
24720
36920
410920
522220
659820
7222320
done500020
01719
13617
25117
36617
49017
515417
636617
7128817
done500017
01939
13639
25539
310139
427220
5108719
done500019
01820
13520
25220
38120
415320
535320
698620
7367120
done500020
01820
13520
25220
37720
414619
534819
6113315
done500015
01820
13520
25220
37720
414619
534819
6113315
done500015
02139
13839
25839
310539
432739
5295139
done500039
01921
13621
25621
310321
429021
5190821
done500021
02028
13728
25728
310428
430828
5234428
done500028
01921
13621
25621
310321
429021
5190821
done500021
01319
12218
23418
37218
422918
583315
625548
done50008
01820
13520
25520
310220
429320
5191320
done500020
02140
14040
26340
313340
457940
done500140
01921
13621
25621
310321
429021
5190821
done500021
02028
13728
25728
310428
430828
5234528
done500128
01921
13621
25621
310321
429021
5190921
done500021
01218
12116
23416
37316
421415
58988
634368
done50008
01820
13520
25520
310220
429320
5191320
done500020
02032
13732
25732
310432
430532
5235032
done500032
01921
13621
25621
310321
429021
5190821
done500021
01921
13621
25621
310321
429021
5190821
done500021
01921
13621
25621
310321
429021
5190821
done500021
01212
12111
23311
37111
421711
57085
620055
done50005
01820
13520
25520
310220
429320
5191320
done500020
02033
13933
26233
313233
455033
done500033
01921
13621
25621
310321
429021
5190821
done500021
01921
13621
25621
310321
429021
5190921
done500021
01921
13621
25621
310321
429021
5190921
done500021
01111
1209
2339
3625
41545
55745
623835
done50015
01820
13520
25520
310220
429320
5191320
done500020
01627
13326
25326
39526
423526
587926
6368825
done500025
01820
13520
25520
310220
430120
5210520
done500120
01516
13215
25215
39415
422815
577215
6301511
done500011
01820
13520
25520
310220
430120
5210520
done500120
057
1121
done121
01719
13419
25419
310119
430619
5212419
done500019
01628
13527
25827
312327
444926
5308617
done500017
01820
13520
25520
310220
430120
5210520
done500120
01516
13215
25215
39415
422815
577314
6301611
done500111
01820
13520
25520
310220
430120
5210920
done500120
056
1123
2201
done201
01719
13419
25419
310119
430619
5212419
done500019
02140
14040
26540
314640
474540
done500140
01921
13621
25621
310321
429021
5190821
done500021
02029
13929
26429
314529
471429
done500029
01921
13621
25621
310321
429021
5190821
done500021
01320
12419
24119
310617
437915
522918
done50018
01820
13520
25520
310220
429320
5191320
done500020
02141
14441
28141
321541
4147321
done500021
01921
13621
25621
310321
429021
5190821
done500021
02029
13929
26429
314529
471429
done500027
01921
13621
25621
310321
429021
5190921
done500021
01219
12317
24417
312417
44679
530658
done50008
01820
13520
25520
310220
429320
5191320
done500020
02032
13732
25732
310432
430532
5235132
done500032
01921
13621
25621
310321
429021
5190921
done500021
01921
13621
25621
310321
429021
5190921
done500021
01921
13621
25621
310321
429021
5190921
done500021
01212
12111
23311
37111
421710
57138
635165
done50005
01820
13520
25520
310220
429320
5191720
done500120
02033
13933
26233
313233
455033
done500131
01921
13621
25621
310321
429021
5190921
done500021
01921
13621
25621
310321
429021
5191019
done500019
01921
13621
25621
310321
429021
5191019
done500019
01111
1209
2339
3629
41548
55745
623825
done50005
01820
13520
25520
310220
429320
5191720
done500120
01526
13226
25226
39426
423426
587426
6361125
done500025
01820
13520
25520
310220
430120
5210520
done500120
01415
13115
25115
39315
422415
575515
6297411
done500011
01820
13520
25520
310220
430120
5210520
done500120
056
1125
2235
3541
4681
5721
done721
01719
13419
25419
310119
430619
5212419
done500019
01527
13427
25727
312227
444826
5312717
done500017
01820
13520
25520
310220
430120
5210520
done500120
01415
13115
25115
39315
422415
575614
6297511
done500011
01820
13520
25520
310220
430120
5210920
done500120
045
1111
done111
01719
13419
25419
310119
430619
5212419
done500019
033
1101
done101
01719
13419
25419
310119
430619
5212419
done500019
088
1158
2248
3538
41518
54178
611798
742948
done50018
01314
13014
25014
39214
422214
575014
6308114
done500014
02023
15123
211423
340223
4131723
done500023
01532
14624
214424
347624
4180424
done500124
01929
14729
212429
339929
4130029
done500029
01112
12712
25212
311112
432212
5138412
done500012
01820
13720
26320
312218
440118
5271718
done500018
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13520
25720
311320
434420
5239720
done500020
01941
13641
25641
310341
430841
5213119
done500119
01820
13520
25520
310220
430320
5210520
done500120
01959
14039
27421
319721
4116717
done500017
01820
13520
25620
310316
430816
5213016
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01820
13520
25620
310316
430816
5213016
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01921
13519
25619
38815
415715
536015
6102615
7439515
done500115
01921
13519
25619
38815
415715
536015
6102615
7439515
done500115
02335
16131
218030
355927
4222826
done500026
02771
17167
219867
386245
done500035
02771
16971
219571
355945
4243237
done500037
02335
16131
219028
363426
4252225
done500125
02771
16667
220067
378645
done500135
02771
16471
219771
353051
4198735
done500135
02335
16131
219028
363426
4252225
done500125
02771
16667
220067
378645
done500135
02771
16471
219771
353051
4198735
done500135
01621
13721
210921
321221
441417
575417
6127315
7200515
8251315
9436215
done500015
02871
17467
222363
3112745
done500145
02871
17271
221971
376451
done500039

prune742.0ms

Filtered
116 candidates to 149 candidates (-28.4%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1490149
Fresh022
Picked011
Done011
Total1494153

Merged error: 0b

Counts
153 → 4

regimes115.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify8.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01822
12922
23222
33322
done3322

end0.0ms

sample588.0ms

Algorithm
intervals
Results
433.0ms8000×body80valid

Profiling

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