Details

Time bar (total: 7.4min)

sample106.0ms

Algorithm
intervals
Results
21.0ms36×body1280valid
15.0ms45×body640valid
8.0ms116×body80valid
7.0ms32×body320valid
4.0msbody2560valid
4.0ms77×body80nan
4.0ms25×body160valid
3.0ms50×body80overflowed
2.0msbody1280nan
2.0msbody640nan
1.0msbody320nan
0.0msbody160nan

simplify320.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01213
12013
23313
34713
46713
58913
611113
714613
817913
923213
1038313
1142213
done42213

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 24.5b

Counts
2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(* y (exp z))
0.1b
(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
1.7b
(log (+ (- 1.0 y) (* y (exp z))))
2.8b
(+ (- 1.0 y) (* y (exp z)))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
16×add-cube-cbrt *-un-lft-identity
12×times-frac
11×pow1
add-log-exp
add-exp-log add-cbrt-cube
log-pow
log-div associate-/l*
log-prod flip3-+ associate-*r* associate-*l* associate-/r* flip-+
associate-+l+ div-sub sum-log
cbrt-undiv +-commutative associate-+l- sub-neg frac-2neg diff-log div-exp rem-log-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod div-inv unswap-sqr
Counts
4 → 80
Calls
4 calls:
6.0ms
(* y (exp z))
10.0ms
(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
6.0ms
(log (+ (- 1.0 y) (* y (exp z))))
7.0ms
(+ (- 1.0 y) (* y (exp z)))

series79.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* y (exp z))
49.0ms
(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
16.0ms
(log (+ (- 1.0 y) (* y (exp z))))
8.0ms
(+ (- 1.0 y) (* y (exp z)))

simplify1.5min

Counts
92 → 92
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01011
11710
2349
3659
41549
54209
613389
done50009
0910
1199
2379
3809
41859
55059
617429
done50019
089
1149
2249
3389
4589
5809
61029
71359
81689
92219
103729
114069
done4069
089
1179
2389
3799
41619
53809
612689
done50009
0919
11519
22519
33919
45919
58119
610319
713619
816919
922219
1037519
1140419
done40419
089
1149
2249
3389
4589
5809
61029
71359
81689
92219
103729
114069
done4069
0926
12826
29810
346910
4261710
done500110
089
1149
2249
3389
4589
5809
61029
71359
81689
92219
103729
114069
done4069
089
1149
2249
3389
4589
5809
61029
71359
81689
92219
103729
114069
done4069
01012
13012
28112
321112
446912
5138112
done500012
01126
13121
29121
323021
458921
5182521
done500021
0917
12417
27016
318816
450916
5163216
done500016
078
1148
2338
3568
4858
51288
61568
72238
83718
94098
104128
done4128
067
187
296
done96
067
187
296
done96
056
186
2156
3186
4226
5296
6306
done306
01020
11820
23012
34512
46512
58712
610912
714212
817512
922812
1037112
1141012
done41012
0910
11510
22510
33910
45910
58110
610310
713610
816910
922210
1037510
1140410
done40410
0910
11510
22510
33910
45910
58110
610310
713610
816910
922210
1037510
1140410
done40410
0910
11510
22510
33910
45910
58110
610310
713610
816910
922210
1037510
1140410
done40410
022
141
done41
089
1149
2249
3389
4589
5809
61029
71359
81689
92219
103729
114069
done4069
01113
13113
28213
320513
445813
5135713
done500013
01227
13222
29222
323222
459322
5183722
done500022
01018
12518
27417
319317
451217
5164017
done500017
089
1159
2349
3579
4869
51299
61559
72229
83709
93999
104029
done4029
089
1149
2249
3389
4589
5809
61029
71359
81689
92219
103729
114069
done4069
0910
11510
22510
33910
45910
58110
610310
713610
816910
922210
1037510
1140410
done40410
0910
1158
2258
3398
4598
5818
61038
71368
81698
92228
103758
114048
done4048
01021
11621
22621
34021
46021
58221
610421
713721
817021
922321
1036821
1139621
done39621
0910
11510
22510
33910
45910
58110
610310
713610
816910
922210
1037510
1140410
done40410
01029
11729
22911
34811
47411
510611
614911
724311
848811
9146311
done500011
0910
11510
22510
33910
45910
58110
610310
713610
816910
922210
1037510
1140410
done40410
0910
11510
22510
33910
45910
58110
610310
713610
816910
922210
1037510
1140410
done40410
01213
12013
23113
34513
46513
58713
610913
714213
817513
922813
1037913
1142413
done42413
01112
12012
23212
34712
46712
58912
611112
714612
817912
923212
1038112
1141412
done41412
01112
11712
22712
34112
46112
58312
610512
713812
817112
922412
1036912
1140812
done40812
01435
12935
27115
315213
424913
538813
687113
7347113
done500013
01225
11825
22825
34225
46225
58425
610625
714125
817425
922725
1037425
1142125
done42125
01112
11712
22712
34112
46112
58312
610512
713812
817112
922412
1036912
1140812
done40812
01235
12535
25113
310313
418813
527013
641813
794613
8369613
done500113
01112
11712
22712
34112
46112
58312
610512
713812
817112
922412
1036912
1140812
done40812
01112
11712
22712
34112
46112
58312
610512
713812
817112
922412
1036912
1140812
done40812
0910
11510
22510
33910
45910
58110
610310
713610
816910
922210
1037510
1140410
done40410
022
done22
01315
13315
28415
321315
447515
5139215
done500115
01429
13424
29424
323524
459624
5182324
done500024
01220
12720
27619
319519
451719
5163919
done500019
01011
11711
23611
35911
48811
513111
615711
722411
837211
941311
1041611
done41611
057
197
done97
01112
11712
22712
34112
46112
58312
610512
713812
817112
922412
1036912
1140812
done40812
044
164
done64
01112
11712
22712
34112
46112
58312
610512
713812
817112
922412
1036912
1140812
done40812
023
141
done41
01011
11611
22611
34011
46011
58211
610411
713711
817011
922311
1036811
1139611
done39611
01427
12627
24527
36527
48527
510727
612927
716427
819727
925027
1039927
1142827
done42827
01213
11813
22813
34213
46213
58413
610613
714113
817413
922713
1037413
1142113
done42113
01324
12124
23324
34824
46824
59024
611224
714724
818024
923324
1038024
1142424
done42424
01213
11813
22813
34213
46213
58413
610613
714113
817413
922713
1037413
1142113
done42113
01223
12221
23821
35721
47621
59621
611821
715321
818621
923621
1038121
1142821
done42821
01112
11712
22712
34112
46112
58312
610512
713812
817112
922412
1036912
1140812
done40812
01316
12116
23116
34516
46516
58716
610916
714216
817516
922816
1037916
1142516
done42516
01213
11813
22813
34213
46213
58413
610613
714113
817413
922713
1037413
1142113
done42113
01213
11813
22813
34213
46213
58413
610613
714113
817413
922713
1037413
1142113
done42113
01213
11813
22813
34213
46213
58413
610613
714113
817413
922713
1037413
1142113
done42113
01112
11910
23110
34510
46410
58410
610610
713910
817210
922210
1037110
1141610
done41610
01112
11712
22712
34112
46112
58312
610512
713812
817112
922412
1036912
1140812
done40812
057
197
done97
01112
11712
22712
34112
46112
58312
610512
713812
817112
922412
1036912
1140812
done40812
044
164
done64
01112
11712
22712
34112
46112
58312
610512
713812
817112
922412
1036912
1140812
done40812
023
141
done41
01011
11611
22611
34011
46011
58211
610411
713711
817011
922311
1036811
1139611
done39611
033
153
done53
01011
11611
22611
34011
46011
58211
610411
713711
817011
922311
1036811
1140311
done40311
01215
12015
23015
34415
46415
58615
610815
714315
817615
922915
1037615
1143015
done43015
01112
11712
22712
34112
46112
58312
610512
713812
817112
922412
1036912
1140812
done40812
01011
1189
2309
3449
4639
5839
61059
71389
81719
92219
103709
114089
done4089
01011
11611
22611
34011
46011
58211
610411
713711
817011
922311
1036811
1140311
done40311
01112
11712
22712
34112
46112
58312
610512
713812
817112
922412
1037112
1140812
done40812
01112
11712
22712
34112
46112
58312
610512
713812
817112
922412
1037112
1140812
done40812
01011
11611
22611
34011
46011
58211
610411
713711
817011
922311
1036811
1140311
done40311
044
154
done54
044
154
done54
055
195
2104
done104
055
185
2145
3225
4455
51015
62405
76945
826995
done50015
0814
11713
2488
3918
41566
53326
610716
745656
done50006
0611
1711
done711
055
165
done65
0614
11714
2486
3926
41156
51686
63556
711046
846166
done50016
055
165
done65
055
165
done65
066
176
done76
066
176
done76
069
199
2119
done119
055
165
done65
033
161
done61
055
165
done65
055
165
done65
044
154
done54
01113
12513
25611
37711
49211
511111
615311
722511
845711
9142311
done500011
078
1138
2208
3268
4328
5468
6708
71058
81348
91688
101908
112418
123978
134358
done4358
078
1138
2208
3268
4328
5468
6708
71058
81348
91688
101908
112418
123978
134358
done4358
01316
13016
27014
39114
410912
512912
615112
721012
841712
9135512
done500012
02236
15735
217530
356630
4219530
done500130
02336
15736
217732
358332
4226932
done500032
01722
13722
28922
315322
426520
536416
642716
752216
873716
9166016
done500016
02744
16843
222139
387638
4413134
done500134
02844
16844
221240
380340
4405240
done500040
01013
12613
26311
310211
412511
514411
617911
725111
849311
9146011
done500111
044
154
done54
044
154
done54

prune218.0ms

Filtered
71 candidates to 92 candidates (-29.6%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New84892
Fresh000
Picked101
Done000
Total85893

Merged error: 5.1b

Counts
93 → 8

localize17.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* z y) (+ (* 0.5 z) 1.0))
3.8b
(/ (+ (* (* z y) (+ (* 0.5 z) 1.0)) (log 1.0)) t)

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
add-exp-log times-frac add-cbrt-cube
pow1
associate-*r* pow-prod-down prod-exp associate-/r* cbrt-unprod associate-/l*
flip3-+ associate-*r/ flip-+ associate-/l/ add-log-exp
cbrt-undiv distribute-rgt-in frac-2neg distribute-lft-in div-exp associate-*l* clear-num *-commutative div-inv
Counts
2 → 51
Calls
2 calls:
9.0ms
(* (* z y) (+ (* 0.5 z) 1.0))
13.0ms
(/ (+ (* (* z y) (+ (* 0.5 z) 1.0)) (log 1.0)) t)

series27.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(* (* z y) (+ (* 0.5 z) 1.0))
20.0ms
(/ (+ (* (* z y) (+ (* 0.5 z) 1.0)) (log 1.0)) t)

simplify52.7s

Counts
57 → 57
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01416
12916
26916
39216
49416
done9416
01315
12915
27015
39615
49815
done9815
01315
12615
26515
38815
49015
done9015
01644
15044
218718
389016
done500116
01431
12731
26631
39531
49731
done9731
01315
12615
26515
38815
49015
done9015
01444
13444
210516
330616
4126516
done500016
01315
12615
26515
38815
49015
done9015
01315
12615
26515
38815
49015
done9015
01113
12713
28113
318813
433213
536213
639013
750013
886613
988713
1091013
done91013
022
done22
01633
13533
28333
311233
411433
done11433
01416
12716
26616
39516
49716
done9716
01530
13030
27130
39730
49930
done9930
01416
12716
26616
39516
49716
done9716
01429
13127
27627
310627
410827
done10827
01315
12615
26515
38815
49015
done9015
01519
13019
26919
39619
49819
done9819
01416
12716
26616
39516
49716
done9716
01416
12716
26616
39516
49716
done9716
01416
12716
26616
39516
49716
done9716
01315
12813
26913
39413
49613
done9613
01315
12615
26515
38815
49015
done9015
057
197
done97
01315
12615
26515
38815
49015
done9015
044
164
done64
01315
12615
26515
38815
49015
done9015
023
141
done41
01214
12514
26414
38714
48914
done8914
033
153
done53
01214
12514
26414
38714
48914
done8914
01418
12918
26818
39318
49518
done9518
01315
12615
26515
38815
49015
done9015
01214
12712
26812
39512
49712
done9712
01315
12615
26515
39015
49215
done9215
01315
12615
26515
39015
49215
done9215
01214
12514
26414
38714
48914
done8914
01640
15237
222037
3102230
4424730
done500030
01214
12714
27314
314614
425214
536014
642914
760214
8108914
9194114
10259114
11275214
12278114
13278914
done278914
089
1209
2559
3729
4749
done749
089
1209
2559
3729
4749
done749
01112
11712
22312
32512
done2512
01011
11711
22211
32611
done2611
0910
12410
26610
39910
410110
done10110
0910
12310
27210
314010
426010
578810
6270510
done500110
01429
14129
217815
394415
done500115
01229
14329
218213
397813
done500113
01021
12221
25721
37821
48021
done8021
0910
12110
25610
37710
47910
done7910
01029
13229
217111
397411
4471811
done500011
0910
12110
25610
37710
47910
done7910
0910
12110
25610
37710
47910
done7910
067
1137
2287
3387
done387
055
195
2155
done155
067
1137
2287
3407
done407
055
195
2155
done155
01017
11817
23117
34117
done4117
0910
11510
22110
done2110
055
1113
2233
3273
done273
077
1167
2257
3277
done277
01113
13913
213213
344813
4119513
5318413
done500013
01015
12715
26915
322215
455715
599615
6162015
7283015
done500015
01722
13722
28922
315322
426520
536416
642716
752216
873716
9166016
done500016
01417
13117
27717
314117
425515
535411
641711
750311
872111
9164611
done500011
01417
13117
27717
314117
425515
535411
641711
750311
872111
9164611
done500011
01113
12513
25911
38211
41009
51209
61429
71999
84199
913559
done50009
01113
12513
25911
38211
41009
51209
61429
71999
84199
913559
done50009
01113
12513
25911
38211
41009
51209
61429
71999
84199
913559
done50009

prune172.0ms

Filtered
48 candidates to 57 candidates (-18.8%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New53457
Fresh077
Picked011
Done000
Total531265

Merged error: 5.0b

Counts
65 → 12

localize14.0ms

Local error

Found 3 expressions with local error:

0.1b
(* (* z y) (+ (* 0.5 z) 1.0))
0.3b
(/ 1 (/ t (+ (* (* z y) (+ (* 0.5 z) 1.0)) (log 1.0))))
3.8b
(/ t (+ (* (* z y) (+ (* 0.5 z) 1.0)) (log 1.0)))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
56×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
21×add-exp-log
18×associate-/r*
15×add-cbrt-cube
11×associate-/r/
pow1
div-exp
flip3-+ flip-+ div-inv associate-/l*
cbrt-undiv
associate-*r* pow-prod-down prod-exp cbrt-unprod add-log-exp
rec-exp frac-2neg 1-exp associate-*r/ clear-num
distribute-rgt-in pow-flip distribute-lft-in associate-*l* *-commutative inv-pow
Counts
3 → 135
Calls
3 calls:
9.0ms
(* (* z y) (+ (* 0.5 z) 1.0))
16.0ms
(/ 1 (/ t (+ (* (* z y) (+ (* 0.5 z) 1.0)) (log 1.0))))
13.0ms
(/ t (+ (* (* z y) (+ (* 0.5 z) 1.0)) (log 1.0)))

series85.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(* (* z y) (+ (* 0.5 z) 1.0))
31.0ms
(/ 1 (/ t (+ (* (* z y) (+ (* 0.5 z) 1.0)) (log 1.0))))
46.0ms
(/ t (+ (* (* z y) (+ (* 0.5 z) 1.0)) (log 1.0)))

simplify2.2min

Counts
144 → 144
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01416
12916
26916
39216
49416
done9416
01315
12915
27015
39615
49815
done9815
01315
12615
26515
39015
49215
done9215
01644
15044
218718
384116
done500016
01431
12731
26631
39731
49931
done9931
01315
12615
26515
39015
49215
done9215
01444
13444
28916
315216
426716
582116
6410216
done500116
01315
12615
26515
39015
49215
done9215
01315
12615
26515
39015
49215
done9215
022
done22
01113
12713
28113
318813
433213
536213
639013
750013
886613
988713
1091013
done91013
01633
13533
28333
311433
411633
done11633
01416
12716
26616
39716
49916
done9916
01519
13019
27119
39519
49719
done9719
01416
12716
26616
39716
49916
done9916
057
195
2155
3205
done205
01315
12615
26515
38615
48815
done8815
01530
13030
26930
39630
49830
done9830
01416
12716
26616
39716
49916
done9916
01416
12716
26616
39716
49916
done9916
01416
12716
26616
39716
49916
done9916
044
162
282
done82
01315
12615
26515
38615
48815
done8815
01429
13129
27029
39529
49729
done9729
01315
12615
26515
39015
49215
done9215
01315
12815
26715
39015
49215
done9215
01315
12615
26515
39015
49215
done9215
023
141
done41
01214
12514
26414
38714
48914
done8914
01214
12714
26614
38914
49114
done9114
01214
12514
26414
38714
48914
done8914
01429
12929
26829
39129
49329
done9329
01315
12615
26515
39015
49215
done9215
033
151
done51
01315
12615
26515
38815
49015
done9015
01315
12615
26515
38815
49015
done9015
01214
12514
26414
38714
48914
done8914
01518
14418
214618
373418
4415618
done500018
01427
13827
215127
356627
4177527
5461527
done500027
022
151
done51
01517
13017
27317
310217
410516
done10516
01416
13016
27116
310216
410616
510716
done10716
01618
13517
28717
313316
416416
519116
620016
721716
done21716
01517
13316
28016
311816
414616
517616
618216
718816
820516
done20516
01719
13818
28517
313716
416816
519516
620416
721816
done21816
01618
13617
28016
311816
414616
517616
618416
719016
820616
done20616
01517
13616
29216
319715
446015
5113615
6144215
7147115
8149015
done149015
01517
13217
28417
318815
450115
5140115
6250515
done500115
02050
16146
222820
3116218
done500118
01850
14746
212218
335718
4145618
done500018
01635
13335
28335
316731
440031
5107231
6133331
7135831
8136531
done136531
01517
13217
28217
317615
442515
5107715
6138215
7140615
8141415
done141415
01650
14050
212518
348716
4251416
done500016
01517
13217
28217
317615
442515
5107715
6138215
7140615
8141415
done141415
01517
13217
28217
317615
442515
5107715
6138215
7140615
8141415
done141415
022
151
done51
01315
12815
26715
39015
49215
done9215
01837
13935
28733
312433
412633
done12633
01618
13117
27017
39317
49517
done9517
01721
13419
27517
39717
49917
done9917
01618
13117
27017
39317
49517
done9517
02039
14537
212035
321533
427233
done27233
01719
13418
27618
310016
411516
512216
done12216
01925
14023
29721
315719
418119
done18119
01719
13418
27618
310016
411516
512216
done12216
0813
1167
2307
3397
done397
01618
13317
28317
316915
440215
5108115
6131215
7133615
8134515
done134515
01936
14034
29432
314330
414830
done14830
01719
13418
27618
310016
411516
512216
done12216
01822
13720
28518
312216
412516
done12516
01719
13418
27618
310016
411516
512216
done12216
0710
1134
2184
done184
01618
13317
28317
316915
440215
5108115
6131215
7133615
8134515
done134515
01735
13833
29229
313727
414727
514827
done14827
01618
13317
27517
39715
411215
511715
done11715
01621
13519
28315
311613
411813
done11813
01618
13317
27517
39715
411215
511715
done11715
059
1111
done111
01517
13216
28216
317614
441114
5104914
6135714
7138014
8138814
done138814
047
183
2121
done121
01517
13216
28216
317614
441114
5104914
6135714
7138014
8138814
done138814
057
195
2113
3123
done123
01417
13116
28114
314912
426512
533512
635412
done35412
01924
15422
217320
383718
done500018
01741
14837
218937
377330
4261330
done500030
01833
14831
217829
372627
4314227
done500027
01315
12914
26914
310114
410614
511214
615114
730314
857714
970114
1075714
1179414
1279614
done79614
01734
13433
27333
39433
49633
done9633
01618
13117
27017
39317
49517
done9517
01618
13117
27017
39317
49517
done9517
01618
13117
27017
39317
49517
done9517
01936
14235
210235
316033
422233
528733
done28733
01719
13418
27618
310016
411516
512216
done12216
01822
13721
28421
312819
415719
519619
done19619
01719
13418
27618
310016
411516
512216
done12216
0710
1137
2247
3337
done337
01618
13317
28317
316915
440215
5108115
6131215
7133615
8134515
done134515
01833
13732
28332
311830
414430
516330
done16330
01719
13418
27618
310016
411516
512216
done12216
01719
13418
27618
310016
411516
512216
done12216
01719
13418
27618
310016
411516
512216
done12216
067
1104
2154
done154
01618
13317
28317
316915
440215
5108115
6131215
7133615
8134515
done134515
01632
13531
28129
311527
413127
513327
done13327
01618
13317
27517
39715
411215
511715
done11715
01518
13217
27415
310813
411413
done11413
01618
13317
27517
39715
411215
511715
done11715
046
181
done81
01517
13216
28216
317614
441114
5104914
6135714
7138014
8138814
done138814
034
151
done51
01517
13216
28216
317614
441114
5104914
6135714
7138014
8138814
done138814
044
163
done63
01417
13116
28114
314912
426512
533512
635412
done35412
01821
15120
216420
381418
done500018
01741
14837
218937
377330
4261330
done500030
01730
14529
216929
369427
4299927
done500027
01315
12914
26914
310114
410614
511214
615114
730314
857714
970114
1075714
1179414
1279614
done79614
01633
13333
27233
39533
49733
done9733
01517
13017
26917
39417
49617
done9617
01517
13017
26917
39417
49617
done9617
01517
13017
26917
39417
49617
done9617
01835
14135
210135
316333
422533
529033
done29033
01618
13318
27518
39716
411216
511716
done11716
01721
13621
28321
311919
414819
518519
done18519
01618
13318
27518
39716
411216
511716
done11716
069
1127
2237
3327
done327
01517
13217
28217
317615
441115
5106415
6132815
7135115
8136015
done136015
01732
13632
28232
311530
414130
516030
done16030
01618
13318
27518
39716
411216
511716
done11716
01618
13318
27518
39716
411216
511716
done11716
01618
13318
27518
39716
411216
511716
done11716
056
194
2144
done144
01517
13217
28217
317615
441115
5106415
6132815
7135115
8136015
done136015
01531
13427
28227
311827
413427
513527
done13527
01517
13217
27417
310415
411915
512415
done12415
01417
13113
27513
310213
410513
done10513
01517
13217
27417
310415
411915
512415
done12415
035
161
done61
01416
13116
28116
316914
441614
5106114
6137014
7139314
8140014
done140014
023
141
done41
01416
13116
28116
316914
441614
5106114
6137014
7139314
8140014
done140014
033
153
done53
01316
13012
28212
315712
429212
533812
634312
done34312
01720
15020
216320
381218
done500018
01640
14737
218837
378530
4262030
done500030
01629
14429
216829
369627
4302827
done500027
01214
12814
26814
39614
410114
510714
614614
729814
857214
970414
1075114
1178614
1278814
done78814
01416
13116
28116
316914
441614
5106114
6137014
7139314
8140014
done140014
01416
13114
28514
315614
429414
536614
637314
done37314
01633
13333
27233
39533
49733
done9733
01517
13017
26917
39417
49617
done9617
01835
14135
210135
316333
422533
529033
done29033
01721
13621
28321
311919
414819
518519
done18519
069
1127
2237
3327
done327
01732
13632
28232
311530
414130
516030
done16030
01618
13318
27518
39716
411216
511716
done11716
056
194
2144
done144
01531
13427
28227
311827
413427
513527
done13527
01417
13113
27513
310213
410513
done10513
035
161
done61
023
141
done41
033
153
done53
01720
15020
216320
381218
done500018
01629
14429
216829
369627
4302827
done500027
01517
13216
28216
315314
429914
535614
636014
done36014
01517
13216
28216
315314
429914
535614
636014
done36014
01416
13114
28514
315614
429414
536614
637314
done37314
033
153
done53
089
1209
2559
3729
4749
done749
089
1209
2559
3729
4749
done749
01112
11712
22312
32512
done2512
01011
11711
22211
32611
done2611
0910
12410
26610
39910
410110
done10110
0910
12310
27210
314010
426010
578810
6270510
done500110
01429
14129
217815
394415
done500115
01229
14329
218213
397813
done500113
01021
12221
25721
37821
48021
done8021
0910
12110
25610
37710
47910
done7910
01029
13229
217111
397411
4471811
done500011
0910
12110
25610
37710
47910
done7910
0910
12110
25610
37710
47910
done7910
067
1137
2287
3387
done387
055
195
2155
done155
067
1137
2287
3407
done407
055
195
2155
done155
01017
11817
23117
34117
done4117
0910
11510
22110
done2110
055
1113
2233
3273
done273
077
1167
2257
3277
done277
01113
13913
213213
344813
4119513
5318413
done500013
01015
12715
26915
322215
455715
599615
6162015
7283015
done500015
01317
12917
210817
340817
4219216
done500016
02329
16029
218129
351325
4181821
done500021
02329
16029
218129
351325
4181821
done500021
044
done44
01722
13722
28922
315322
426520
536416
642716
752216
873716
9166016
done500016
01722
13722
28922
315322
426520
536416
642716
752216
873716
9166016
done500016
01113
12513
25911
38211
41009
51209
61429
71999
84199
913559
done50009
01113
12513
25911
38211
41009
51209
61429
71999
84199
913559
done50009
01113
12513
25911
38211
41009
51209
61429
71999
84199
913559
done50009

prune283.0ms

Filtered
93 candidates to 144 candidates (-54.8%)
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New1440144
Fresh01010
Picked011
Done011
Total14412156

Merged error: 5.0b

Counts
156 → 12

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
2.9b
(log (+ (- 1.0 y) (* (* (cbrt y) (cbrt y)) (* (cbrt y) (exp z)))))
10.9b
(+ (- 1.0 y) (* (* (cbrt y) (cbrt y)) (* (cbrt y) (exp z))))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
add-log-exp
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
cbrt-prod
pow1 add-exp-log
add-cbrt-cube
log-prod
log-div associate-+l+ flip3-+ pow1/3 sum-log flip-+
+-commutative associate-+l- sub-neg diff-log rem-log-exp log-pow
Counts
4 → 51
Calls
4 calls:
2.0ms
(cbrt y)
2.0ms
(cbrt y)
8.0ms
(log (+ (- 1.0 y) (* (* (cbrt y) (cbrt y)) (* (cbrt y) (exp z)))))
10.0ms
(+ (- 1.0 y) (* (* (cbrt y) (cbrt y)) (* (cbrt y) (exp z))))

series86.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(cbrt y)
26.0ms
(cbrt y)
23.0ms
(log (+ (- 1.0 y) (* (* (cbrt y) (cbrt y)) (* (cbrt y) (exp z)))))
12.0ms
(+ (- 1.0 y) (* (* (cbrt y) (cbrt y)) (* (cbrt y) (exp z))))

simplify2.7min

Counts
63 → 63
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01318
12617
25516
310912
42739
59679
647539
done50009
01217
12816
25916
312612
43239
511659
done50009
01116
12216
23916
36812
41429
52729
63309
73909
84989
97529
1015099
1140869
done50009
01116
12516
25816
312912
43429
511039
done50009
01233
12333
24033
36925
414319
527319
633119
739119
849819
976219
10152119
11413219
done500119
01116
12216
23916
36812
41429
52729
63309
73909
84989
97529
1015099
1140869
done50009
01247
13647
213017
374013
4440710
done500010
01116
12216
23916
36812
41429
52729
63309
73909
84989
97529
1015099
1140869
done50009
01116
12216
23916
36812
41429
52729
63309
73909
84989
97529
1015099
1140869
done50009
01319
13819
212619
348312
4119012
5321812
done500012
01447
13935
215935
357427
4146221
5361921
done500121
01231
13231
212231
344422
4119216
5295516
done500016
01015
12215
25415
310411
41468
52758
63358
73998
84998
97638
1015238
1140798
done50018
0914
11614
22513
3289
4336
5376
6436
7536
8746
91396
103576
1112736
done50006
0914
11614
22513
3289
4336
5376
6436
7536
8746
91396
103576
1112736
done50006
0813
11613
23813
3729
4786
5826
6916
71056
81336
91986
104076
1113436
done50006
01334
12634
24619
37615
414912
527912
633712
739712
850212
975512
10151612
11408512
done500112
01217
12317
24017
36913
414310
527310
633110
739110
849810
976210
10152110
11413210
done500110
01217
12317
24017
36913
414310
527310
633110
739110
849810
976210
10152110
11413210
done500110
01217
12317
24017
36913
414310
527310
633110
739110
849810
976210
10152110
11413210
done500110
022
141
done41
01116
12216
23916
36812
41429
52729
63309
73909
84989
97529
1015099
1140869
done50009
01420
13920
212820
348513
4120113
5321313
done500013
01548
14036
216036
357528
4146222
5365022
done500122
01332
13332
212632
345523
4119417
5297517
done500017
01116
12316
25516
310512
41459
52749
63349
73989
84999
97589
1015119
1141199
done50009
01116
12216
23916
36812
41429
52729
63309
73909
84989
97529
1015099
1140869
done50009
01217
12317
24017
36913
414310
527310
633110
739110
849810
976210
10152110
11413210
done500110
01217
12315
24015
36911
41438
52738
63318
73918
84988
97628
1015218
1141088
done50018
01335
12435
24235
37227
414621
527621
633421
739421
850021
976521
10152721
11410021
done500021
01217
12317
24017
36913
414310
527310
633110
739110
849810
976210
10152110
11413210
done500110
01350
12550
24518
37914
415611
529411
636911
748511
878911
9198011
done500011
01217
12317
24017
36913
414310
527310
633110
739110
849810
976210
10152110
11413210
done500110
01217
12317
24017
36913
414310
527310
633110
739110
849810
976210
10152110
11413210
done500110
033
done33
033
done33
046
done46
033
done33
033
done33
033
done33
022
141
done41
022
done22
047
done47
033
done33
048
158
274
3121
4161
5221
6321
7551
81221
93331
1012721
done50001
033
done33
033
done33
033
done33
033
done33
046
done46
033
done33
033
done33
033
done33
022
141
done41
022
done22
047
done47
033
done33
048
158
274
3121
4161
5221
6321
7551
81221
93331
1012721
done50001
033
done33
033
done33
01113
12513
25611
37711
49211
511111
615311
722511
845711
9142311
done500011
078
1138
2208
3268
4328
5468
6708
71058
81348
91688
101908
112418
123978
134358
done4358
078
1138
2208
3268
4328
5468
6708
71058
81348
91688
101908
112418
123978
134358
done4358
01316
13016
27014
39114
410912
512912
615112
721012
841712
9135512
done500012
02236
15735
217530
356630
4219530
done500130
02336
15736
217732
358332
4226932
done500032
088
1207
2285
3502
4872
51742
63602
79112
830822
done50002
0910
1198
2355
3722
41262
52642
65682
716352
done50002
01213
12312
24011
39510
42279
55467
612046
734602
done50002
088
1207
2285
3502
4872
51742
63602
79112
830822
done50002
0910
1198
2355
3722
41262
52642
65682
716352
done50002
01213
12312
24011
39510
42279
55467
612046
734602
done50002

prune88.0ms

Filtered
47 candidates to 63 candidates (-34.0%)
Pruning

12 alts after pruning (9 fresh and 3 done)

PrunedKeptTotal
New63063
Fresh099
Picked011
Done022
Total631275

Merged error: 5.0b

Counts
75 → 12

regimes1.3s

Accuracy

73.4% (4.2b remaining)

Error of 8.6b against oracle of 4.4b and baseline of 20.1b

bsearch99.0ms

Steps
ItersRangePoint
7
-3.633872354935684e-51
-1.9620827183228366e-53
-1.1872354773046371e-52
8
-1994846.076561198
-1588.2412550094143
-1608.9440882450247

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04262
15662
done5662

end0.0ms

sample3.4s

Algorithm
intervals
Results
1.0s1417×body1280valid
542.0ms1568×body640valid
251.0ms3531×body80valid
200.0ms889×body320valid
127.0ms2398×body80nan
110.0ms90×body2560valid
98.0ms1462×body80overflowed
74.0ms526×body160valid
72.0ms289×body640nan
43.0ms119×body1280nan
31.0ms179×body320nan
14.0ms120×body160nan

Profiling

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