Details

Time bar (total: 9.7min)

sample270.0ms

Algorithm
intervals
Results
91.0ms1188×body80nan
35.0ms397×body80valid
5.0ms12×body640valid
2.0msbody320valid
2.0msbody1280valid
1.0msbody160valid

simplify2.8s

Counts
1 → 1
Iterations

Useful iterations: 4 (37.0ms)

IterNodesCost
01718
13018
25818
311118
428217
595117
6464517
done500017

prune18.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 1.8b

Counts
2 → 2

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b
(exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
0.2b
(* y (- (log z) t))
0.3b
(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
4.0b
(log (- 1.0 z))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
27×log-prod
24×add-sqr-sqrt
23×*-un-lft-identity
22×associate--l+
17×distribute-rgt-in distribute-lft-in
14×add-cube-cbrt associate-+r+
10×associate-+l+ associate-*r/
add-log-exp
pow1
add-exp-log
sub-neg flip3-- associate-*r* add-cbrt-cube flip--
distribute-lft-out--
frac-add difference-of-squares
exp-prod associate-*l*
log-div sum-log log-pow rem-exp-log
+-commutative flip3-+ rem-log-exp exp-sum pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
4 → 101
Calls
4 calls:
11.0ms
(exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
9.0ms
(* y (- (log z) t))
14.0ms
(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
4.0ms
(log (- 1.0 z))

series127.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
20.0ms
(* y (- (log z) t))
45.0ms
(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
3.0ms
(log (- 1.0 z))

simplify1.9min

Counts
113 → 113
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
0610
11010
2137
3147
done147
055
175
285
done85
055
175
285
done85
055
175
285
done85
022
141
done41
044
164
274
done74
066
176
done76
066
186
296
done96
022
141
done41
044
164
274
done74
078
1228
2448
3818
41728
55218
623028
done50018
0812
11510
22310
32610
42710
done2710
068
1118
2218
3378
4628
51038
61618
73298
816108
done50008
044
154
done54
044
164
274
done74
055
175
285
done85
055
173
283
done83
0611
1811
2911
done911
055
175
285
done85
0614
1914
2126
3176
4236
5336
6566
71166
83326
912676
done50006
055
175
285
done85
055
175
285
done85
01617
13116
25816
312816
432515
5103815
6483115
done500015
01516
12416
23916
35716
48916
512816
618016
733516
854816
963616
1064816
done64816
01516
12716
25116
310016
422315
560515
6251415
done500015
01633
12533
24033
35833
49033
512933
618133
733633
855033
963433
1064633
done64633
01516
12416
23916
35716
48916
512816
618016
733516
854816
963616
1064816
done64816
01647
13847
211717
350617
4298917
done500017
01516
12416
23916
35716
48916
512816
618016
733516
854816
963616
1064816
done64816
01516
12416
23916
35716
48916
512816
618016
733516
854816
963616
1064816
done64816
03159
18555
223855
388651
4478151
done500051
01835
14131
212131
349527
4161927
done500127
02748
16946
218146
365745
4317038
done500138
01421
13119
28319
321718
450318
5102818
6119018
7119218
done119218
02750
16948
220148
382845
4376140
done500140
01425
13123
28523
321520
445420
599420
6135420
7136820
done136820
02239
14939
213739
351839
4187932
done500132
01011
12111
24711
36711
410011
510611
done10611
01719
14519
212719
343719
4141219
5439919
done500119
01847
15238
216738
361438
4217338
done500038
01631
14331
212331
339031
4120731
5383131
done500031
01415
12415
24615
37915
414315
520815
628815
747315
864415
967715
1067815
done67815
01213
11913
22713
33613
44513
54813
65413
77113
810213
914413
1017613
1118313
1220813
1323113
1423213
done23213
01419
12319
23716
35616
47916
59216
610816
716316
829116
945116
1050916
1155116
1260516
1362316
done62316
01314
12014
22814
33714
44614
54914
65514
77214
810314
914514
1017714
1118414
1220914
1323214
1423314
done23314
01111
11810
2258
3346
4516
5546
6646
7796
81126
91446
101726
112026
122216
done2216
01415
12015
22715
33615
44515
54815
65415
77115
810215
914415
1017615
1118315
1220815
1323115
1423215
done23215
01111
11810
2258
3346
4516
5546
6646
7796
81126
91446
101726
112026
122216
done2216
01213
11913
22713
33613
44513
54813
65413
77113
810213
914413
1017613
1118313
1220813
1323113
1423213
done23213
01213
11913
22713
33613
44513
54813
65413
77113
810213
914413
1017613
1118313
1220813
1323113
1423213
done23213
01419
12319
23716
35616
47916
59216
610816
716316
829116
945116
1050916
1155116
1260516
1362316
done62316
01314
12014
22814
33714
44614
54914
65514
77214
810314
914514
1017714
1118414
1220914
1323214
1423314
done23314
01111
11810
2258
3346
4516
5546
6646
7796
81126
91446
101726
112026
122216
done2216
01415
12015
22715
33615
44515
54815
65415
77115
810215
914415
1017615
1118315
1220815
1323115
1423215
done23215
01111
11810
2258
3346
4516
5546
6646
7796
81126
91446
101726
112026
122216
done2216
01213
11913
22713
33613
44513
54813
65413
77113
810213
914413
1017613
1118313
1220813
1323113
1423213
done23213
01313
12213
23412
34612
46012
56812
68012
711412
817012
923012
1023812
1123912
done23912
01516
12416
23916
35716
48916
512816
618016
733516
854916
963716
1064916
done64916
01516
12416
23916
35716
48916
512816
618016
733516
854916
963716
1064916
done64916
01415
12315
23815
35615
48815
512715
617915
733415
854815
963415
1064615
done64615
01313
12213
23412
34612
46012
56812
68012
711412
817012
923012
1023812
1123912
done23912
01313
12213
23412
34612
46012
56812
68012
711412
817012
923012
1023812
1123912
done23912
01516
12416
23916
35716
48916
512816
618016
733516
854916
963516
1064716
done64716
01516
12416
23916
35716
48916
512816
618016
733516
854916
963516
1064716
done64716
01415
12315
23815
35615
48815
512715
617915
733415
854815
963415
1064615
done64615
01313
12213
23412
34612
46012
56812
68012
711412
817012
923012
1023812
1123912
done23912
066
196
2166
3216
4256
done256
088
1118
2128
done128
077
1137
2217
3267
4307
done307
077
1127
2257
3507
4916
51936
64426
713936
done50006
01020
11920
26310
324310
48748
530068
done50018
0815
11115
21815
32315
42715
done2715
077
1107
2177
3227
4267
done267
0820
12120
2758
32658
48128
525478
done50018
077
1107
2177
3227
4267
done267
077
1107
2177
3227
4267
done267
088
1118
2128
done128
088
1118
2128
done128
044
154
done54
044
174
2104
3114
done114
068
198
2157
3217
4257
done257
077
1107
2177
3227
4267
done267
055
165
done65
077
1107
2177
3227
4267
done267
044
173
done71
066
196
2166
3216
4256
done256
044
154
done54
044
174
2104
3114
done114
044
154
done54
044
174
2104
3114
done114
068
198
2157
3217
4257
done257
077
1107
2177
3227
4267
done267
055
165
done65
077
1107
2177
3227
4267
done267
044
173
done71
066
196
2166
3216
4256
done256
044
154
done54
044
174
2104
3114
done114
0813
11313
21613
done1613
077
1107
2117
done117
033
161
done61
088
1168
2178
done178
033
161
done61
033
161
done61
077
1107
2177
3227
4267
done267
077
1107
2177
3227
4267
done267
066
196
2166
3216
4256
done256
0910
12510
25310
313210
430610
598610
6454010
done500010
0811
11411
23111
37711
416411
525011
641011
778111
8342911
done500011
01734
12834
24734
37034
412034
519934
635334
788834
8277534
done500034
01617
12517
24017
35817
49017
512917
618117
733617
855017
963417
1064617
done64617
022
151
done51
077
1127
2257
3507
4916
51936
64426
713936
done50006
099
1169
2309
3559
4968
52118
64778
714838
done50018
01617
12815
25515
311315
426415
581515
6337515
done500015
01617
12817
25417
310817
425716
577216
6321016
done500116
01735
12935
25335
310235
422533
560933
6250933
done500133
01617
12817
25217
310117
422416
561016
6251216
done500016
01750
13249
28318
324018
4103917
done500017
01617
12817
25217
310117
422416
561416
6251616
done500116
01617
12817
25217
310117
422416
561416
6251616
done500116
01216
12916
27916
315616
430316
553214
679914
7118514
8163014
9348314
done500114
01622
14120
29515
325315
461215
5155813
done500013
01721
14020
29515
324715
472614
5186913
done500013
01618
13215
26211
311311
414211
519711
630011
742011
853611
959211
1061211
1161411
done61411
01720
13618
26716
314414
431413
575013
6143713
7179413
8184413
done184413
01719
13616
26614
313613
433113
590213
6172413
7191213
8192113
done192113
01113
12310
2426
3676
4826
51176
61766
72526
82696
93056
103246
done3246
01215
12711
2548
31057
41786
52856
63396
done3396
01215
12413
24711
310211
42228
55006
613386
done50006
01416
12615
24811
37611
49811
done9811
02333
15229
213423
346920
4168818
done500017
02332
15031
212724
345219
4169419
done500019

prune217.0ms

Filtered
89 candidates to 113 candidates (-27.0%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1103113
Fresh101
Picked101
Done000
Total1123115

Merged error: 0.0b

Counts
115 → 3

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (+ (* (/ 1/2 (pow 1.0 2)) z) 1.0))
0.0b
(exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (* z (+ (* (/ 1/2 (pow 1.0 2)) z) 1.0))) b))))
0.2b
(* y (- (log z) t))
0.3b
(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (* z (+ (* (/ 1/2 (pow 1.0 2)) z) 1.0))) b)))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
28×associate--l+
21×add-sqr-sqrt
18×distribute-rgt-in log-prod *-un-lft-identity distribute-lft-in
15×add-cube-cbrt
14×associate-+r+
12×associate-*r/
10×associate-+l+
pow1 associate-*r* add-log-exp
add-exp-log sub-neg add-cbrt-cube
associate-*l*
flip3-- flip--
frac-add
exp-prod
flip3-+ pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ rem-exp-log distribute-lft-out-- unswap-sqr
+-commutative exp-sum log-pow difference-of-squares
Counts
4 → 107
Calls
4 calls:
12.0ms
(* z (+ (* (/ 1/2 (pow 1.0 2)) z) 1.0))
12.0ms
(exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (* z (+ (* (/ 1/2 (pow 1.0 2)) z) 1.0))) b))))
9.0ms
(* y (- (log z) t))
15.0ms
(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (* z (+ (* (/ 1/2 (pow 1.0 2)) z) 1.0))) b)))

series169.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(* z (+ (* (/ 1/2 (pow 1.0 2)) z) 1.0))
70.0ms
(exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (* z (+ (* (/ 1/2 (pow 1.0 2)) z) 1.0))) b))))
16.0ms
(* y (- (log z) t))
69.0ms
(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (* z (+ (* (/ 1/2 (pow 1.0 2)) z) 1.0))) b)))

simplify4.0min

Counts
119 → 119
Iterations

Useful iterations: done (2.0ms)

IterNodesCost
02327
15626
213426
334126
489825
5274225
done500125
02226
14926
211626
325926
458126
5128826
6301926
done500126
02226
15226
212826
330826
477525
5210725
done500125
02353
15053
211753
326053
458553
5130053
6297553
done500153
02226
14926
211626
325926
458126
5128826
6301926
done500126
02377
16377
219427
374727
4425127
done500127
02226
14926
211626
325926
458126
5128826
6301926
done500126
02226
14926
211626
325926
458126
5128826
6301926
done500126
03899
110795
232295
3127481
done500181
02565
16461
220061
381347
4427847
done500047
03478
19376
227276
3109975
done500058
02131
15629
216629
355628
4214128
done500028
03490
19188
228588
3121275
done500070
02155
15453
216453
352940
4229440
done500040
02969
17469
222969
398769
done500052
01721
14621
213021
334221
498021
5304221
done500121
02429
16929
220329
370329
4276529
done500029
02577
17758
224458
394858
4429158
done500058
02351
16851
220051
367651
4274751
done500051
02125
14925
212325
329325
472625
5199925
done500125
01923
14223
29723
321023
446423
5109123
6230823
7397723
done500023
01111
11611
22311
33211
44111
54411
65011
76711
89811
914011
1017211
1117911
1220411
1322711
1422811
done22811
01315
12015
23314
35214
47714
58814
610414
715914
828714
944714
1050414
1154814
1260414
1362214
done62214
01212
11712
22412
33312
44212
54512
65112
76812
89912
914112
1017312
1118012
1220512
1322812
1422912
done22912
01111
11810
2258
3346
4516
5546
6646
7796
81126
91446
101726
112026
122216
done2216
01111
11611
22311
33211
44111
54411
65011
76711
89811
914011
1017211
1117911
1220411
1322711
1422811
done22811
01923
14223
29723
321023
446423
5109123
6230823
7397723
done500023
01923
14223
29723
321023
446723
5109423
6232123
7397923
done500023
01111
11611
22311
33211
44111
54411
65011
76711
89811
914011
1017211
1117911
1220411
1322711
1422811
done22811
01315
12015
23314
35214
47714
58814
610414
715914
828714
944314
1050014
1154414
1260014
1361814
done61814
01212
11712
22412
33312
44212
54512
65112
76812
89912
914112
1017312
1118012
1220512
1322812
1422912
done22912
01111
11810
2258
3346
4516
5546
6646
7796
81126
91446
101726
112026
122216
done2216
01111
11611
22311
33211
44111
54411
65011
76711
89811
914011
1017211
1117911
1220411
1322711
1422811
done22811
01923
14223
29723
321023
446723
5109423
6232123
7397923
done500023
02023
14723
211122
324822
454922
5115422
6225522
7416222
done500022
02226
14926
211626
325926
458226
5128926
6299526
done500026
02226
14926
211626
325926
458226
5128926
6299526
done500026
02125
14825
211525
325825
458125
5128825
6299125
done500125
02023
14723
211122
324822
454922
5115422
6225522
7416222
done500022
02023
14723
211122
324822
454922
5115422
6225522
7416222
done500022
02226
14926
211626
325926
458226
5128926
6299526
done500126
02226
14926
211626
325926
458226
5128926
6299526
done500126
02125
14825
211525
325825
458125
5128825
6298725
done500025
02023
14723
211122
324822
454922
5115422
6225522
7416222
done500022
066
196
2166
3216
4256
done256
088
1118
2128
done128
077
1137
2217
3267
4307
done307
077
1127
2257
3507
4916
51936
64426
713936
done50006
01020
11920
26310
324310
48748
530068
done50018
0815
11115
21815
32315
42715
done2715
077
1107
2177
3227
4267
done267
0820
12120
2758
32658
48128
525478
done50018
077
1107
2177
3227
4267
done267
077
1107
2177
3227
4267
done267
088
1118
2128
done128
088
1118
2128
done128
044
154
done54
044
174
2104
3114
done114
068
198
2157
3217
4257
done257
077
1107
2177
3227
4267
done267
055
165
done65
077
1107
2177
3227
4267
done267
044
173
done71
066
196
2166
3216
4256
done256
044
154
done54
044
174
2104
3114
done114
044
154
done54
044
174
2104
3114
done114
068
198
2157
3217
4257
done257
077
1107
2177
3227
4267
done267
055
165
done65
077
1107
2177
3227
4267
done267
044
173
done71
066
196
2166
3216
4256
done256
044
154
done54
044
174
2104
3114
done114
0813
11313
21613
done1613
077
1107
2117
done117
033
161
done61
088
1168
2178
done178
033
161
done61
033
161
done61
077
1107
2177
3227
4267
done267
077
1107
2177
3227
4267
done267
066
196
2166
3216
4256
done256
0910
12510
25310
313210
430610
598610
6454010
done500010
0811
11411
23111
37711
416411
525011
641011
778111
8342911
done500011
02454
15354
212354
327154
461454
5136454
6314854
done500154
02327
15027
211727
326027
458527
5130027
6297527
done500127
022
151
done51
077
1127
2257
3507
4916
51936
64426
713936
done50006
01619
14119
210619
326819
465018
5165018
6442518
done500018
02327
15325
213225
332125
482425
5239125
done500025
02327
15327
213127
331627
481126
5227026
done500026
02455
15455
213055
331055
477953
5210753
done500053
02327
15327
212927
330927
477826
5211426
done500026
02480
15779
215928
344728
4167227
done500027
02327
15327
212927
330927
477826
5211826
done500026
02327
15327
212927
330927
477826
5211826
done500026
0911
12511
25511
39611
414611
520311
623111
729511
850811
9143711
done500011
01113
12113
24313
36213
47913
59313
611713
718113
840213
9133713
done500013
01012
12912
26012
310112
415112
520812
623812
730212
851912
9143712
done500012
01012
12812
26612
312812
422712
548212
6122512
7406512
done500012
01335
14135
216515
373915
4379913
done500013
01125
12725
25725
39825
414725
520325
623225
729325
851425
9146225
done500025
01012
12612
25612
39712
414712
520412
623212
729312
850912
9144612
done500012
01135
13735
213713
352013
4210413
done500013
01012
12612
25612
39712
414712
520412
623212
729312
850912
9144612
done500012
01012
12612
25612
39712
414712
520412
623212
729312
850912
9144612
done500012
01113
12113
24313
36213
47913
59313
611713
718113
840213
9133713
done500013
01113
12113
24313
36213
47913
59313
611713
718113
840213
9133713
done500013
089
1179
2469
3879
41369
51919
62199
72769
84839
914059
done50019
033
143
done43
089
1199
2489
3929
41439
51959
62249
72859
85009
914159
done50009
033
143
done43
01123
12323
24723
36623
48323
59723
612123
718123
839523
9130323
done500023
01012
12012
24212
36112
47812
59212
611412
717812
839012
9132212
done500012
033
161
done61
01012
12612
26112
311812
420012
530012
634312
740512
862912
9157812
done500012
01012
12612
26112
311812
420012
530012
634312
740512
862912
9157812
done500012
0911
12511
25511
39611
414611
520311
623111
729511
850811
9143711
done500011
01215
14215
214715
354215
4259715
done500115
01121
13121
210321
331919
4107919
5300315
done500015
01618
13215
26211
311311
414211
519711
630011
742011
853611
959211
1061211
1161411
done61411
01518
13618
29018
319116
437512
553412
667312
7100712
8148212
9246512
done500012
01518
13618
29018
319116
437512
553412
667312
7100712
8148212
9246512
done500012
01113
12310
2426
3676
4826
51176
61766
72526
82696
93056
103246
done3246
01215
12711
2548
31057
41786
52856
63396
done3396
01215
12413
24711
310211
42228
55006
613386
done50006
01416
12615
24811
37611
49811
done9811
02736
16636
220836
366732
4223931
done500031
02736
16636
220836
366533
4223531
done500031
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

prune297.0ms

Filtered
92 candidates to 119 candidates (-29.3%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1190119
Fresh022
Picked011
Done000
Total1193122

Merged error: 0.0b

Counts
122 → 3

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (log z) t)
0.2b
(* y (- (log z) t))
0.3b
(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
4.0b
(log (- 1.0 z))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
30×log-prod
26×add-sqr-sqrt *-un-lft-identity
25×associate--l+
17×distribute-rgt-in distribute-lft-in
14×add-cube-cbrt associate-+r+
10×associate-+l+ associate-*r/
pow1
add-exp-log sub-neg flip3-- flip-- distribute-lft-out-- add-log-exp
associate-*r* add-cbrt-cube
difference-of-squares
frac-add
associate-*l* log-pow
log-div
+-commutative flip3-+ diff-log rem-log-exp pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
4 → 106
Calls
4 calls:
5.0ms
(- (log z) t)
9.0ms
(* y (- (log z) t))
14.0ms
(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
5.0ms
(log (- 1.0 z))

series81.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(- (log z) t)
22.0ms
(* y (- (log z) t))
45.0ms
(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
3.0ms
(log (- 1.0 z))

simplify1.8min

Counts
118 → 118
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
0610
11010
2137
3147
done147
055
175
285
done85
055
175
285
done85
055
175
285
done85
022
141
done41
044
164
274
done74
066
176
done76
066
186
296
done96
022
141
done41
044
164
274
done74
078
1228
2448
3818
41728
55218
623028
done50018
0812
11510
22310
32610
42710
done2710
068
1118
2218
3378
4628
51038
61618
73298
816108
done50008
044
154
done54
044
164
274
done74
055
175
285
done85
055
173
283
done83
0611
1811
2911
done911
055
175
285
done85
0614
1914
2126
3176
4236
5336
6566
71166
83326
912676
done50006
055
175
285
done85
055
175
285
done85
01617
13116
25816
312816
432515
5103815
6483115
done500015
01516
12416
23916
35716
48916
512816
618016
733516
854816
963616
1064816
done64816
01516
12716
25116
310016
422315
560515
6251415
done500015
01633
12533
24033
35833
49033
512933
618133
733633
855033
963433
1064633
done64633
01516
12416
23916
35716
48916
512816
618016
733516
854816
963616
1064816
done64816
01647
13847
211717
350617
4298917
done500017
01516
12416
23916
35716
48916
512816
618016
733516
854816
963616
1064816
done64816
01516
12416
23916
35716
48916
512816
618016
733516
854816
963616
1064816
done64816
03159
18555
223855
388651
4478151
done500051
01835
14131
212131
349527
4161927
done500127
02748
16946
218146
365745
4317038
done500138
01421
13119
28319
321718
450318
5102818
6119018
7119218
done119218
02750
16948
220148
382845
4376140
done500140
01425
13123
28523
321520
445420
599420
6135420
7136820
done136820
02239
14939
213739
351839
4187932
done500132
01011
12111
24711
36711
410011
510611
done10611
01719
14519
212719
343719
4141219
5439919
done500119
01847
15238
216738
361438
4217338
done500038
01631
14331
212331
339031
4120731
5383131
done500031
01415
12415
24615
37915
414315
520815
628815
747315
864415
967715
1067815
done67815
01213
11913
22713
33613
44513
54813
65413
77113
810213
914413
1017613
1118313
1220813
1323113
1423213
done23213
01419
12319
23716
35616
47916
59216
610816
716316
829116
945116
1050916
1155116
1260516
1362316
done62316
01314
12014
22814
33714
44614
54914
65514
77214
810314
914514
1017714
1118414
1220914
1323214
1423314
done23314
01111
11810
2258
3346
4516
5546
6646
7796
81126
91446
101726
112026
122216
done2216
01415
12015
22715
33615
44515
54815
65415
77115
810215
914415
1017615
1118315
1220815
1323115
1423215
done23215
01111
11810
2258
3346
4516
5546
6646
7796
81126
91446
101726
112026
122216
done2216
01213
11913
22713
33613
44513
54813
65413
77113
810213
914413
1017613
1118313
1220813
1323113
1423213
done23213
01213
11913
22713
33613
44513
54813
65413
77113
810213
914413
1017613
1118313
1220813
1323113
1423213
done23213
01419
12319
23716
35616
47916
59216
610816
716316
829116
945116
1050916
1155116
1260516
1362316
done62316
01314
12014
22814
33714
44614
54914
65514
77214
810314
914514
1017714
1118414
1220914
1323214
1423314
done23314
01111
11810
2258
3346
4516
5546
6646
7796
81126
91446
101726
112026
122216
done2216
01415
12015
22715
33615
44515
54815
65415
77115
810215
914415
1017615
1118315
1220815
1323115
1423215
done23215
01111
11810
2258
3346
4516
5546
6646
7796
81126
91446
101726
112026
122216
done2216
01213
11913
22713
33613
44513
54813
65413
77113
810213
914413
1017613
1118313
1220813
1323113
1423213
done23213
01313
12213
23412
34612
46012
56812
68012
711412
817012
923012
1023812
1123912
done23912
01516
12416
23916
35716
48916
512816
618016
733516
854916
963716
1064916
done64916
01516
12416
23916
35716
48916
512816
618016
733516
854916
963716
1064916
done64916
01415
12315
23815
35615
48815
512715
617915
733415
854815
963415
1064615
done64615
01313
12213
23412
34612
46012
56812
68012
711412
817012
923012
1023812
1123912
done23912
01313
12213
23412
34612
46012
56812
68012
711412
817012
923012
1023812
1123912
done23912
01516
12416
23916
35716
48916
512816
618016
733516
854916
963516
1064716
done64716
01516
12416
23916
35716
48916
512816
618016
733516
854916
963516
1064716
done64716
01415
12315
23815
35615
48815
512715
617915
733415
854815
963415
1064615
done64615
01313
12213
23412
34612
46012
56812
68012
711412
817012
923012
1023812
1123912
done23912
066
196
2166
3216
4256
done256
088
1118
2128
done128
077
1137
2217
3267
4307
done307
077
1127
2257
3507
4916
51936
64426
713936
done50006
01020
11920
26310
324310
48748
530068
done50018
0815
11115
21815
32315
42715
done2715
077
1107
2177
3227
4267
done267
0820
12120
2758
32658
48128
525478
done50018
077
1107
2177
3227
4267
done267
077
1107
2177
3227
4267
done267
088
1118
2128
done128
088
1118
2128
done128
044
154
done54
044
174
2104
3114
done114
068
198
2157
3217
4257
done257
077
1107
2177
3227
4267
done267
055
165
done65
077
1107
2177
3227
4267
done267
044
173
done71
066
196
2166
3216
4256
done256
044
154
done54
044
174
2104
3114
done114
044
154
done54
044
174
2104
3114
done114
068
198
2157
3217
4257
done257
077
1107
2177
3227
4267
done267
055
165
done65
077
1107
2177
3227
4267
done267
044
173
done71
066
196
2166
3216
4256
done256
044
154
done54
044
174
2104
3114
done114
0813
11313
21613
done1613
077
1107
2117
done117
033
161
done61
088
1168
2178
done178
033
161
done61
033
161
done61
077
1107
2177
3227
4267
done267
077
1107
2177
3227
4267
done267
066
196
2166
3216
4256
done256
0910
12510
25310
313210
430610
598610
6454010
done500010
0811
11411
23111
37711
416411
525011
641011
778111
8342911
done500011
044
done44
055
175
285
done85
055
1105
2134
3164
4224
5264
6274
7334
8344
done344
0611
1811
2911
done911
055
175
285
done85
0614
1914
2246
3676
41766
55006
617156
done50006
055
175
285
done85
055
175
285
done85
078
1228
2448
3788
41628
54958
622538
done50008
0814
11512
22312
32611
42711
done2711
022
done22
069
1119
2189
3339
4589
5999
61619
73299
816279
done50009
044
154
done54
066
176
done76
066
186
296
done96
044
164
274
done74
044
164
274
done74
055
175
285
done85
055
175
285
done85
044
164
274
done74
022
done22
01216
12916
27916
315616
430316
553214
679914
7118514
8163014
9348314
done500114
01622
14120
29515
325315
461215
5155813
done500013
01721
14020
29515
324715
472614
5186913
done500013
01618
13215
26211
311311
414211
519711
630011
742011
853611
959211
1061211
1161411
done61411
01720
13618
26716
314414
431413
575013
6143713
7179413
8184413
done184413
01719
13616
26614
313613
433113
590213
6172413
7191213
8192113
done192113
01113
12310
2426
3676
4826
51176
61766
72526
82696
93056
103246
done3246
01215
12711
2548
31057
41786
52856
63396
done3396
01215
12413
24711
310211
42228
55006
613386
done50006
077
1146
2214
3314
4404
5594
6834
7864
8954
91074
done1074
089
1187
2355
3834
4974
51104
done1104
089
1159
2329
3649
41356
52324
68984
735064
done50014

prune201.0ms

Filtered
89 candidates to 118 candidates (-32.6%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1180118
Fresh011
Picked011
Done011
Total1183121

Merged error: 0.0b

Counts
121 → 3

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (log z) t)
0.0b
(* x (exp (+ (* y (- (log z) t)) (* (log 1.0) a))))
0.0b
(exp (+ (* y (- (log z) t)) (* (log 1.0) a)))
0.2b
(* y (- (log z) t))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
18×*-un-lft-identity
12×add-cube-cbrt
10×pow1 associate-*r*
log-prod associate--l+
add-cbrt-cube add-log-exp
add-exp-log
associate-*l*
distribute-rgt-in distribute-lft-in
distribute-lft-out--
sub-neg exp-prod
flip3-- associate-*r/ exp-sum pow-prod-down prod-exp log-pow *-commutative flip-- cbrt-unprod rem-exp-log difference-of-squares unswap-sqr
diff-log sum-log
Counts
4 → 83
Calls
4 calls:
5.0ms
(- (log z) t)
12.0ms
(* x (exp (+ (* y (- (log z) t)) (* (log 1.0) a))))
9.0ms
(exp (+ (* y (- (log z) t)) (* (log 1.0) a)))
9.0ms
(* y (- (log z) t))

series105.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(- (log z) t)
51.0ms
(* x (exp (+ (* y (- (log z) t)) (* (log 1.0) a))))
26.0ms
(exp (+ (* y (- (log z) t)) (* (log 1.0) a)))
17.0ms
(* y (- (log z) t))

simplify1.7min

Counts
95 → 95
Iterations

Useful iterations: done (2.0ms)

IterNodesCost
066
196
2166
3216
4256
done256
088
1118
2128
done128
077
1137
2217
3267
4307
done307
077
1127
2257
3507
4916
51936
64426
713936
done50006
01020
11920
26310
324310
48748
530068
done50018
0815
11115
21815
32315
42715
done2715
077
1107
2177
3227
4267
done267
0820
12120
2758
32658
48128
525478
done50018
077
1107
2177
3227
4267
done267
077
1107
2177
3227
4267
done267
088
1118
2128
done128
088
1118
2128
done128
044
154
done54
044
174
2104
3114
done114
068
198
2157
3217
4257
done257
077
1107
2177
3227
4267
done267
055
165
done65
077
1107
2177
3227
4267
done267
044
173
done71
066
196
2166
3216
4256
done256
044
154
done54
044
174
2104
3114
done114
044
154
done54
044
174
2104
3114
done114
068
198
2157
3217
4257
done257
077
1107
2177
3227
4267
done267
055
165
done65
077
1107
2177
3227
4267
done267
044
173
done71
066
196
2166
3216
4256
done256
044
154
done54
044
174
2104
3114
done114
0813
11313
21613
done1613
077
1107
2117
done117
033
161
done61
088
1168
2178
done178
033
161
done61
033
161
done61
077
1107
2177
3227
4267
done267
077
1107
2177
3227
4267
done267
066
196
2166
3216
4256
done256
0910
12510
25310
313210
430610
598610
6454010
done500010
0811
11411
23111
37711
416411
525011
641011
778111
8342911
done500011
01426
12126
23226
34626
47326
511626
622626
761726
8233926
done500026
01313
11813
22513
33413
44313
54613
65213
76913
810013
914213
1017413
1118113
1220613
1322913
1423013
done23013
022
151
done51
077
1127
2257
3507
4916
51936
64426
713936
done50006
055
193
2173
3253
4483
51043
62473
77073
824433
done50003
01313
12111
24111
38111
418111
553111
6215211
done500011
01313
12113
24012
37812
418111
552211
6212411
done500111
01427
12227
23925
37225
415323
539923
6155823
done500123
01313
12113
23812
37112
415211
539811
6155411
done500111
01438
12537
26913
320113
474212
5463812
done500012
01313
12113
23812
37112
415211
540211
6155811
done500011
01313
12113
23812
37112
415211
540211
6155811
done500011
01414
12314
24413
38113
420212
567212
6314812
done500112
01414
12214
23514
35414
48114
59814
612614
718714
831614
943414
1051014
1158514
1266314
1368114
done68114
01515
12715
25214
311213
428013
596613
6433913
done500113
01515
12615
25314
310814
430813
5123613
done500113
01844
13543
210417
335717
4163314
done500014
01631
12531
24629
38329
420427
566627
6310727
done500127
01515
12415
24514
38214
420313
566513
6311613
done500013
01644
13544
210015
334515
4158214
done500014
01515
12415
24514
38214
420313
566513
6311613
done500013
01515
12415
24514
38214
420313
566513
6311613
done500013
01616
12516
24215
37515
415614
540814
6156714
done500114
01616
12516
24215
37515
415614
540814
6156714
done500114
099
1159
2289
3579
41168
52648
66658
723198
done50008
01629
12729
24627
37927
416025
540625
6155625
done500125
01515
12415
24114
37414
415513
540913
6158213
done500113
033
161
done61
01515
12415
24514
38214
420313
566713
6314013
done500113
01515
12415
24514
38214
420313
566713
6314013
done500113
01414
12314
24413
38113
420212
567212
6314812
done500112
044
done44
055
175
285
done85
055
1105
2134
3164
4224
5264
6274
7334
8344
done344
0611
1811
2911
done911
055
175
285
done85
0614
1914
2246
3676
41766
55006
617156
done50006
055
175
285
done85
055
175
285
done85
078
1228
2448
3788
41628
54958
622538
done50008
0814
11512
22312
32611
42711
done2711
022
done22
069
1119
2189
3339
4589
5999
61619
73299
816279
done50009
044
154
done54
066
176
done76
066
186
296
done96
044
164
274
done74
044
164
274
done74
055
175
285
done85
055
175
285
done85
044
164
274
done74
022
done22
01113
12310
2426
3676
4826
51176
61766
72526
82696
93056
103246
done3246
01215
12711
2548
31057
41786
52856
63396
done3396
01215
12413
24711
310211
42228
55006
613386
done50006
01416
12615
24811
37611
49811
done9811
01821
13819
28215
319711
445911
5115210
done500010
01821
13521
27719
320816
452916
5183413
done500113
01215
12614
24610
3498
4548
done548
02023
14121
28917
323613
460713
5167312
done500012
02023
13823
28421
324718
471618
5276215
done500115
077
1146
2214
3314
4404
5594
6834
7864
8954
91074
done1074
089
1187
2355
3834
4974
51104
done1104
089
1159
2329
3649
41356
52324
68984
735064
done50014

prune148.0ms

Filtered
75 candidates to 95 candidates (-26.7%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New94195
Fresh000
Picked101
Done022
Total95398

Merged error: 0.0b

Counts
98 → 3

regimes540.0ms

Accuracy

0% (0.2b remaining)

Error of 0.4b against oracle of 0.2b and baseline of 0.4b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02428
13128
done3128

end0.0ms

sample8.9s

Algorithm
intervals
Results
3.2s40910×body80nan
1.1s12462×body80valid
167.0ms376×body640valid
112.0ms375×body320valid
57.0ms297×body160valid
55.0ms72×body1280valid

Profiling

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