Details

Time bar (total: 17.7min)

sample168.0ms

Algorithm
intervals
Results
105.0ms122×body1280valid
28.0ms68×body640valid
15.0ms45×body320valid
5.0ms256×pre80true
2.0ms15×body160valid
0.0msbody80valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
079
1109
2119
done119

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 61.9b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
4.8b
(log (+ 1.0 x))
4.8b
(log (- 1.0 x))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
17×add-sqr-sqrt
16×times-frac
15×pow1 add-cube-cbrt
12×log-pow
log-prod
add-exp-log
log-div
add-cbrt-cube
associate-/r* associate-/l*
add-log-exp
flip3-- div-sub rem-log-exp flip--
cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+ div-inv distribute-lft-out distribute-lft-out-- difference-of-squares
Counts
3 → 69
Calls
3 calls:
7.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
4.0ms
(log (+ 1.0 x))
4.0ms
(log (- 1.0 x))

series24.0ms

Counts
3 → 9
Calls
3 calls:
17.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
3.0ms
(log (+ 1.0 x))
3.0ms
(log (- 1.0 x))

simplify1.1min

Counts
78 → 78
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
0610
1910
2117
3127
done127
055
165
done65
055
165
done65
055
165
done65
022
141
done41
044
154
done54
022
141
done41
044
154
done54
078
1218
2308
3478
4888
52088
66138
724418
done50008
0812
11610
23110
34410
46410
58510
610210
712510
816810
923010
1023110
done23110
068
1118
2218
3378
4628
51038
61618
73298
816108
done50008
044
164
274
done74
044
154
done54
055
165
done65
055
163
done63
0611
1711
done711
055
165
done65
0614
1814
2106
3156
4216
5316
6546
71106
83196
912596
done50016
055
165
done65
055
165
done65
0911
11411
21611
done1611
0810
11410
21710
31810
done1810
0810
11110
21210
done1210
01129
12329
25613
312311
420011
531611
677711
7338711
done500111
0921
11221
21321
done1321
0810
11110
21210
done1210
0929
11929
23611
37411
414111
520811
633611
782911
8356111
done500111
0810
11110
21210
done1210
0810
11110
21210
done1210
055
175
285
done85
055
165
done65
01013
12613
24813
38513
417613
551413
6231513
done500013
01117
11815
22515
32615
42715
done2715
0913
11413
22213
33813
46313
510413
616013
732813
8165013
done500013
059
171
291
done91
023
141
done41
079
1109
2119
done119
0813
11313
done1313
0810
11110
21210
done1210
077
1107
done107
0810
11110
21210
done1210
023
141
done41
079
1109
2119
done119
0813
11411
22111
32611
done2611
0810
11110
21210
done1210
01123
12023
23023
33623
done3623
0911
11211
21311
done1311
01017
11517
21817
31917
done1917
0911
11211
21311
done1311
0813
11411
22111
32611
done2611
0810
11110
21210
done1210
077
1115
2145
done145
0810
11110
21210
done1210
01017
11517
21617
done1617
0911
11211
21311
done1311
0911
11211
21311
done1311
0911
11211
21311
done1311
077
1115
2145
done145
0810
11110
21210
done1210
023
141
done41
079
1109
2119
done119
0813
11313
done1313
0810
11110
21210
done1210
077
1107
done107
0810
11110
21210
done1210
023
141
done41
079
1109
2119
done119
066
196
done96
079
1109
2119
done119
066
1104
2134
done134
0916
11416
21516
done1516
0810
11110
21210
done1210
066
1104
2134
done134
079
1109
2119
done119
0810
11110
21210
done1210
0810
11110
21210
done1210
079
1109
2119
done119
01216
12916
27916
315616
430316
553214
679914
7118514
8163014
9348314
done500114
01622
14120
29515
323815
457215
5154213
done500013
01721
14020
29315
325515
475014
5193013
done500013
01216
12916
28616
317516
433716
553514
664814
779414
8124514
9310014
done500014
01521
13819
28912
321712
446612
5128010
done500010
01822
14121
29217
322417
457514
5164810
done500010
01419
13419
29019
326217
4100115
5485415
done500015
050191
1147157
2586122
33236114
done5000112
051198
1146181
2582119
3259080
done500078

prune200.0ms

Filtered
57 candidates to 78 candidates (-36.8%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New70878
Fresh000
Picked101
Done000
Total71879

Merged error: 59.8b

Counts
79 → 8

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (- 1.0 (* (/ 1/2 (pow 1.0 2)) x)))
0.0b
(/ (log (- 1.0 x)) (+ (log 1.0) (* x (- 1.0 (* (/ 1/2 (pow 1.0 2)) x)))))
4.8b
(log (- 1.0 x))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
17×*-un-lft-identity
15×add-cube-cbrt
12×times-frac
10×pow1
add-exp-log
add-cbrt-cube
log-prod log-pow
log-div associate-/l*
flip3-- associate-*r* associate-*l* associate-/r* flip-- add-log-exp
distribute-rgt-in sub-neg distribute-lft-in div-sub associate-*r/ associate-/r/
cbrt-undiv frac-2neg flip3-+ div-exp rem-log-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod flip-+ div-inv distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 75
Calls
3 calls:
6.0ms
(* x (- 1.0 (* (/ 1/2 (pow 1.0 2)) x)))
9.0ms
(/ (log (- 1.0 x)) (+ (log 1.0) (* x (- 1.0 (* (/ 1/2 (pow 1.0 2)) x)))))
7.0ms
(log (- 1.0 x))

series26.0ms

Counts
3 → 9
Calls
3 calls:
10.0ms
(* x (- 1.0 (* (/ 1/2 (pow 1.0 2)) x)))
13.0ms
(/ (log (- 1.0 x)) (+ (log 1.0) (* x (- 1.0 (* (/ 1/2 (pow 1.0 2)) x)))))
4.0ms
(log (- 1.0 x))

simplify4.3min

Counts
84 → 84
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
01621
13221
27021
313421
425021
541121
657221
765321
888721
9186221
done500121
01520
13220
27120
313620
425820
541520
656820
765120
888620
9185320
done500020
01520
12920
26620
313020
425220
541720
658020
766420
890520
9188020
done500020
01859
15359
216823
351321
4214421
done500021
01641
13041
26741
313141
424941
541141
657341
766341
890041
9187241
done500041
01520
12920
26620
313020
425220
541720
658020
766420
890520
9188020
done500020
01659
13759
29021
319121
441621
5116921
done500021
01520
12920
26620
313020
425220
541720
658020
766420
890520
9188020
done500020
01520
12920
26620
313020
425220
541720
658020
766420
890520
9188020
done500020
055
175
285
done85
01215
12715
27115
315315
437014
577014
6102914
7113814
8138214
9232414
done500014
01723
14223
210623
320423
441423
591923
6286523
done500023
01827
13625
27925
314225
426225
543025
659025
767125
891125
9188025
done500025
01623
13223
28123
315823
429423
549723
670923
796423
8251423
done500123
01419
12719
26419
312819
424919
541519
657719
766019
888919
9186419
done500019
01533
13033
26533
317233
454033
5190133
done500033
01520
12920
26620
313020
425220
541720
658020
766420
890520
9188020
done500020
01417
12717
26217
316917
453317
5189717
done500117
01520
12920
26620
313020
425220
541720
658020
766420
890520
9188020
done500020
023
141
done41
01419
12819
26519
312919
425019
541419
657119
765019
887819
9183719
done500019
01843
13843
28443
315443
427043
543043
658643
766743
890543
9186443
done500043
01621
13021
26721
313121
424821
541121
656821
765821
889921
9187721
done500021
01727
13327
27227
313727
425727
541727
657927
766127
888727
9185627
done500027
01621
13021
26721
313121
424821
541121
656821
765821
889921
9187721
done500021
0813
11411
22111
32611
done2611
01520
12920
26620
313020
425120
541520
657720
766120
889120
9187020
done500020
01737
13337
27037
313437
425037
541037
656937
765437
887837
9183837
done500037
01621
13021
26721
313121
424821
541121
656821
765821
889921
9187721
done500021
01621
13021
26721
313121
424821
541121
656821
765821
889921
9187721
done500021
01621
13021
26721
313121
424821
541121
656821
765821
889921
9187721
done500021
077
1115
2145
done145
01520
12920
26620
313020
425120
541520
657720
766120
889120
9187020
done500020
01533
13033
26533
317233
454033
5190133
done500033
01520
12920
26620
313020
425220
541720
658020
766420
890520
9188020
done500020
01417
12717
26217
316917
453317
5189717
done500117
01520
12920
26620
313020
425220
541720
658020
766420
890520
9188020
done500020
023
141
done41
01419
12819
26519
312919
425019
541419
657119
765019
887819
9183719
done500019
01316
12616
26116
316816
453216
5189616
done500016
01419
12819
26519
312919
425019
541819
663019
792919
8179019
9361819
done500019
01636
13236
26936
313336
425336
541236
656936
765036
887636
9182736
done500036
01520
12920
26620
313020
425220
541720
658020
766420
890520
9188020
done500020
066
1104
2134
done134
01419
12819
26519
312919
425019
541819
663019
792919
8179019
9361819
done500019
01520
12920
26620
313020
425220
542020
662820
793020
8180520
9361220
done500020
01520
12920
26620
313020
425220
542020
662820
793020
8180520
9361220
done500020
01419
12819
26519
312919
425019
541819
663019
792919
8179019
9361819
done500019
01723
14623
212123
333523
4123923
done500023
01634
14134
212134
338434
4156334
done500034
0911
12011
25711
311711
422811
538711
654511
761511
883211
9176111
done500011
01113
12213
25313
39513
413513
516913
620013
725713
847313
9140013
done500013
01012
12412
26212
312212
423612
539412
654712
762012
883612
9178412
done500012
01012
12312
26512
314512
433812
572912
6175512
done500012
01335
13035
210415
337615
4196413
done500013
01125
12225
25925
311925
423325
539225
654425
761925
883625
9176825
done500025
01012
12112
25812
311812
423012
538312
653312
760612
882312
9174212
done500012
01135
13235
211613
341413
4187813
done500013
01012
12112
25812
311812
423012
538312
653312
760612
882312
9174212
done500012
01012
12112
25812
311812
423012
538312
653312
760612
882312
9174212
done500012
01113
12213
25313
39513
413513
516913
620013
725713
847313
9140013
done500013
01113
12213
25313
39513
413513
516913
620013
725713
847313
9140013
done500013
033
143
done43
0910
12410
2659
31629
43069
54709
65579
76199
88269
917629
done50009
033
143
done43
0910
12410
2659
31629
43069
54709
65579
76199
88269
917629
done50009
033
143
done43
0910
12410
2649
31559
43009
54639
65469
76119
88289
917499
done50019
033
143
done43
0910
12410
2649
31559
43009
54639
65469
76119
88289
917499
done50019
01123
12423
25723
39923
414023
517423
620523
726223
846723
9139423
done500023
01012
12112
25212
39412
413412
516812
619712
726112
847412
9140812
done500012
033
161
done61
01012
12112
25812
312512
425712
550712
680912
798312
8121612
9215512
done500012
01012
12112
25812
312512
425712
550712
680912
798312
8121612
9215512
done500012
0911
12011
25711
311711
422811
538711
654511
761511
883211
9176111
done500011
01215
13715
214015
362915
4374815
done500115
01121
13121
211221
341519
4172619
done500119
01216
12916
27916
315616
430316
553214
679914
7118514
8163014
9348314
done500114
01622
14120
29515
323815
457215
5154213
done500013
01721
14020
29315
325515
475014
5193013
done500013
02441
16141
219341
378335
4384228
done500128
049105
113197
243893
3226384
done500083
049101
113195
243058
3146351
done500051
089
1179
2409
3579
4797
5927
61147
71787
83947
913447
done50017
089
1179
2409
3579
4797
5927
61147
71787
83947
913447
done50017
089
1179
2409
3579
4797
5927
61147
71787
83947
913447
done50017

prune235.0ms

Filtered
64 candidates to 84 candidates (-31.3%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New83184
Fresh437
Picked101
Done000
Total88492

Merged error: 0.0b

Counts
92 → 4

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (+ (* (/ 1/2 (pow 1.0 2)) x) 1.0))
0.0b
(* x (- 1.0 (* (/ 1/2 (pow 1.0 2)) x)))
0.0b
(/ (- (log 1.0) (* x (+ (* (/ 1/2 (pow 1.0 2)) x) 1.0))) (+ (log 1.0) (* x (- 1.0 (* (/ 1/2 (pow 1.0 2)) x)))))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
add-exp-log times-frac add-cbrt-cube
pow1
associate-*r* associate-*l*
associate-*r/
distribute-rgt-in distribute-lft-in associate-/r* associate-/l* add-log-exp
sub-neg flip3-- flip3-+ pow-prod-down prod-exp associate-/r/ *-commutative flip-- cbrt-unprod flip-+ associate-/l/ unswap-sqr
cbrt-undiv frac-2neg div-sub div-exp clear-num div-inv
Counts
3 → 78
Calls
3 calls:
17.0ms
(* x (+ (* (/ 1/2 (pow 1.0 2)) x) 1.0))
7.0ms
(* x (- 1.0 (* (/ 1/2 (pow 1.0 2)) x)))
8.0ms
(/ (- (log 1.0) (* x (+ (* (/ 1/2 (pow 1.0 2)) x) 1.0))) (+ (log 1.0) (* x (- 1.0 (* (/ 1/2 (pow 1.0 2)) x)))))

series31.0ms

Counts
3 → 9
Calls
3 calls:
10.0ms
(* x (+ (* (/ 1/2 (pow 1.0 2)) x) 1.0))
10.0ms
(* x (- 1.0 (* (/ 1/2 (pow 1.0 2)) x)))
11.0ms
(/ (- (log 1.0) (* x (+ (* (/ 1/2 (pow 1.0 2)) x) 1.0))) (+ (log 1.0) (* x (- 1.0 (* (/ 1/2 (pow 1.0 2)) x)))))

simplify5.1min

Counts
87 → 87
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01731
14131
29631
320131
435931
553231
668031
788431
8141431
9238731
done500031
01630
14430
210630
322330
441630
577130
6199630
done500030
01630
14130
210430
322230
441930
580630
6214330
done500030
01989
16289
220933
372731
4349831
done500131
01761
14261
210261
321861
440861
576561
6198261
done500061
01630
14130
210130
321730
440530
575630
6197130
done500130
01789
14989
213731
342331
4168331
done500031
01630
14130
210130
321730
440530
575630
6197130
done500130
01630
14130
210130
321730
440530
575630
6197130
done500130
01215
13015
27515
316115
437014
570014
6101914
7117314
8138714
9233714
done500114
01215
12715
27115
315315
437014
577014
6102914
7113814
8138214
9232414
done500014
01217
12417
26117
312517
424717
541117
657417
765817
889317
9185917
done500017
01426
13626
28326
317626
434526
561926
6116526
7285126
done500126
01963
14763
211063
322163
437763
555263
670663
790863
8143863
9238063
done500063
01731
13931
29331
319831
435231
552131
666931
787931
8141031
9237031
done500031
01847
14247
29847
320447
436147
553247
667947
788447
8141547
9236547
done500047
01731
13931
29331
319831
435231
552131
666931
787931
8141031
9237031
done500031
01533
13631
28231
320531
459331
5201831
done500131
01630
13830
29230
319730
435030
551730
666530
787130
8140230
9236330
done500130
01847
14247
29647
320147
435847
552947
667747
788447
8141547
9237647
done500047
01731
13931
29331
319831
435231
552131
666931
787931
8141031
9237031
done500031
01731
13931
29331
319831
435231
552131
666931
787931
8141031
9237031
done500031
01731
13931
29331
319831
435231
552131
666931
787931
8141031
9237031
done500031
01417
13315
27515
319315
458315
5201315
done500115
01630
13830
29230
319730
435030
551730
666530
787130
8140230
9236330
done500130
01533
13033
26533
317233
454033
5190133
done500033
01630
14130
210130
321730
440530
574130
6157930
7265430
8356430
done500030
01417
12717
26217
316917
453317
5189717
done500117
01630
14130
210130
321730
440530
574130
6157930
7265430
8356430
done500030
023
141
done41
01529
14029
210029
321629
440429
575629
6197929
done500129
01316
12616
26116
316816
453216
5189616
done500016
01529
13729
29129
319629
434929
552329
672529
7142729
done500129
01746
14446
211346
325546
449146
5101346
6265146
done500046
01630
14130
210130
321730
440530
574130
6157930
7265430
8356430
done500030
01316
13514
28314
321514
464814
5222514
done500014
01630
13830
29230
319730
435030
552130
672330
7116530
8239730
9481230
done500030
01630
13830
29230
319730
435030
552130
672330
7116530
8239730
9481230
done500030
01529
13729
29129
319629
434929
552329
672529
7142729
done500129
01833
15833
215533
341833
4143533
done500033
01744
15344
216544
351944
4191844
done500044
01959
16247
222647
385847
4428347
done500047
01529
14329
212829
337829
4137429
done500129
0911
12011
25711
311711
422811
538711
654511
761511
883211
9176111
done500011
01113
12213
25313
39513
413513
516913
620013
725713
847313
9140013
done500013
01012
12412
26212
312212
423612
539412
654712
762012
883612
9178412
done500012
01012
12312
26512
314512
433812
572912
6175512
done500012
01335
13035
210415
337615
4196413
done500013
01125
12225
25925
311925
423325
539225
654425
761925
883625
9176825
done500025
01012
12112
25812
311812
423012
538312
653312
760612
882312
9174212
done500012
01135
13235
211613
341413
4187813
done500013
01012
12112
25812
311812
423012
538312
653312
760612
882312
9174212
done500012
01012
12112
25812
311812
423012
538312
653312
760612
882312
9174212
done500012
01113
12213
25313
39513
413513
516913
620013
725713
847313
9140013
done500013
01113
12213
25313
39513
413513
516913
620013
725713
847313
9140013
done500013
033
143
done43
0910
12410
2659
31629
43069
54709
65579
76199
88269
917629
done50009
033
143
done43
0910
12410
2659
31629
43069
54709
65579
76199
88269
917629
done50009
033
143
done43
0910
12410
2649
31559
43009
54639
65469
76119
88289
917499
done50019
033
143
done43
0910
12410
2649
31559
43009
54639
65469
76119
88289
917499
done50019
01123
12423
25723
39923
414023
517423
620523
726223
846723
9139423
done500023
01012
12112
25212
39412
413412
516812
619712
726112
847412
9140812
done500012
033
161
done61
01012
12112
25812
312512
425712
550712
680912
798312
8121612
9215512
done500012
01012
12112
25812
312512
425712
550712
680912
798312
8121612
9215512
done500012
0911
12011
25711
311711
422811
538711
654511
761511
883211
9176111
done500011
01215
13715
214015
362915
4374815
done500115
01121
13121
211221
341519
4172619
done500119
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
01419
13419
29019
326217
4100115
5485415
done500015
01315
12915
25611
39711
421211
55719
626889
done50009
01315
12915
25611
39711
421211
55719
626889
done50009
089
1179
2409
3579
4797
5927
61147
71787
83947
913447
done50017
089
1179
2409
3579
4797
5927
61147
71787
83947
913447
done50017
089
1179
2409
3579
4797
5927
61147
71787
83947
913447
done50017
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

prune305.0ms

Filtered
69 candidates to 87 candidates (-26.1%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New86187
Fresh123
Picked101
Done000
Total88391

Merged error: 0.0b

Counts
91 → 3

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (/ -1/2 (pow 1.0 2)) (* x x))
0.0b
(* x (+ (* (/ 1/2 (pow 1.0 2)) x) 1.0))
0.0b
(/ (- (log 1.0) (* x (+ (* (/ 1/2 (pow 1.0 2)) x) 1.0))) (+ (log 1.0) (+ (* x 1.0) (* (/ -1/2 (pow 1.0 2)) (* x x)))))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
43×times-frac
42×*-un-lft-identity
39×add-sqr-sqrt
31×add-exp-log associate-*l*
30×add-cube-cbrt
19×add-cbrt-cube
14×pow1
13×prod-exp
10×unpow-prod-down
distribute-lft-out
div-exp cbrt-unprod
unswap-sqr
associate-/r*
associate-*r* pow-prod-down log-pow unpow2 sqr-pow
cbrt-undiv associate-/l* add-log-exp
pow-to-exp flip3-+ associate-*r/ pow-exp associate-/r/ *-commutative flip-+ div-inv associate-/l/
distribute-rgt-in flip3-- frac-2neg distribute-lft-in div-sub associate-*l/ clear-num flip--
Counts
3 → 119
Calls
3 calls:
13.0ms
(* (/ -1/2 (pow 1.0 2)) (* x x))
12.0ms
(* x (+ (* (/ 1/2 (pow 1.0 2)) x) 1.0))
11.0ms
(/ (- (log 1.0) (* x (+ (* (/ 1/2 (pow 1.0 2)) x) 1.0))) (+ (log 1.0) (+ (* x 1.0) (* (/ -1/2 (pow 1.0 2)) (* x x)))))

series31.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(* (/ -1/2 (pow 1.0 2)) (* x x))
10.0ms
(* x (+ (* (/ 1/2 (pow 1.0 2)) x) 1.0))
15.0ms
(/ (- (log 1.0) (* x (+ (* (/ 1/2 (pow 1.0 2)) x) 1.0))) (+ (log 1.0) (+ (* x 1.0) (* (/ -1/2 (pow 1.0 2)) (* x x)))))

simplify7.1min

Counts
128 → 128
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
02133
14933
212131
322831
440131
559331
673331
794131
8147731
9244631
done500031
02032
15232
213130
324830
445530
584030
6180430
done500030
02032
14932
212930
324730
446530
587330
6194230
done500030
02395
17095
225433
3105031
done500031
02165
15065
212761
324361
444761
582761
6178361
done500061
02032
14932
212630
324230
445230
582830
6179030
done500030
02195
15795
216231
344831
4171231
done500031
02032
14932
212630
324230
445230
582830
6179030
done500030
02032
14932
212630
324230
445230
582830
6179030
done500030
01215
13015
27515
316115
437014
570014
6101914
7117314
8138714
9233714
done500114
01317
13117
27715
316715
431914
548314
664114
784714
8145014
9240614
done500014
01319
12819
26617
310617
416117
520017
623417
729617
851317
9145617
done500017
01828
14428
210726
319126
431126
548226
678726
7117826
8245626
done500126
02367
15567
213563
324863
442163
561863
675963
796463
8150563
9245563
done500063
02133
14733
211831
322331
439431
558531
672331
793031
8145631
9241031
done500031
02249
15049
212347
322947
440047
559947
673947
794547
8148247
9244447
done500047
02133
14733
211831
322331
439431
558531
672331
793031
8145631
9241031
done500031
01533
13631
28231
320531
459331
5201831
done500131
02032
14632
211730
322430
439630
559730
674130
794830
8149830
9244430
done500030
01533
13631
28231
320531
459331
5201831
done500131
02032
14632
211730
322430
439630
559730
674130
794830
8149830
9244430
done500030
01533
13631
28231
320531
459331
5201831
done500131
02032
14632
211730
322430
439630
559730
674130
794830
8149830
9244430
done500030
02251
15051
212147
322847
440147
559547
673547
794447
8147947
9244547
done500047
02133
14733
211831
322331
439431
558531
672331
793031
8145631
9241031
done500031
02133
14733
211831
322331
439431
558531
672331
793031
8145631
9241031
done500031
02133
14733
211831
322331
439431
558531
672331
793031
8145631
9241031
done500031
01417
13315
27515
319315
458315
5201315
done500115
02032
14632
211730
322430
439630
559730
674130
794830
8149830
9244430
done500030
01417
13315
27515
319315
458315
5201315
done500115
02032
14632
211730
322430
439630
559730
674130
794830
8149830
9244430
done500030
01417
13315
27515
319315
458315
5201315
done500115
02032
14632
211730
322430
439630
559730
674130
794830
8149830
9244430
done500030
01637
13437
27033
315733
442033
5134133
done500033
02032
14932
212630
324230
445230
582830
6166430
7273630
8362830
done500030
01519
13119
26717
315417
441317
5134417
done500017
02032
14932
212630
324230
445230
582830
6166430
7273630
8362830
done500030
023
141
done41
01931
14831
212529
324129
444829
582329
6178329
done500029
023
141
done41
01931
14831
212529
324129
444829
582329
6178329
done500029
023
141
done41
01931
14831
212529
324129
444829
582329
6178329
done500029
01418
13018
26616
315316
441416
5134116
done500116
01931
14531
211629
322129
439629
559829
674729
7101129
8216029
done500029
02150
15250
213846
328046
453846
5109846
6272146
done500046
02032
14932
212630
324230
445230
582830
6166430
7273630
8362830
done500030
01316
13514
28314
321514
464814
5222514
done500014
01316
13514
28314
321514
464814
5222514
done500014
01316
13514
28314
321514
464814
5222514
done500014
02032
14632
211730
322230
439430
559630
674430
7100730
8188230
9395030
done500130
02032
14632
211730
322230
439430
559630
674430
7100730
8188230
9395030
done500130
01931
14531
211629
322129
439629
559829
674729
7101129
8216029
done500029
02235
16135
215733
342533
4166533
done500133
02148
15848
219744
367944
4278744
done500144
02361
16949
226747
3115647
done500047
01931
15131
216929
362829
4261829
done500029
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
089
1189
2469
3849
41389
51759
62089
72739
84869
914129
done50009
089
1189
2469
3849
41389
51759
62089
72739
84869
914129
done50009
01113
12012
24710
38510
413010
519110
622910
729610
840510
943210
done43210
01112
11912
24312
37610
412210
519110
623110
730210
841110
943810
done43810
01113
12012
24710
38510
413010
519110
622910
729610
840510
943210
done43210
01112
11912
24312
37610
412210
519110
623110
730210
841110
943810
done43810
01113
12612
26110
311610
421010
536610
651410
783510
8123210
9217310
done500010
01112
12512
25712
310710
419610
535510
650110
782210
8120710
9214210
done500110
01012
12211
24811
39210
418010
533110
645010
772310
8108810
9206510
done500110
01011
12111
24711
39010
416910
528910
649310
775210
8113110
9210410
done500010
0910
12210
26010
312610
426110
54519
66949
711119
815429
925469
done50019
0910
12110
25610
311410
422110
541610
688510
7259110
done500110
01429
14521
217215
384611
done50009
01429
14621
217113
383211
done50009
01229
13629
214115
362211
4338611
done500111
01229
13729
214113
362311
4346111
done500011
01021
12021
24821
38621
414121
517821
621221
727521
848221
9141121
done500021
0910
11910
24710
38510
413910
517610
621010
727210
849010
9143610
done500010
01029
13029
212911
370311
4430511
done500011
0910
11910
24710
38510
413910
517610
621010
727210
849010
9143610
done500010
0910
11910
24710
38510
413910
517610
621010
727210
849010
9143610
done500010
088
1148
2268
3318
4378
5478
6698
71268
83318
912538
done50008
088
1148
2268
3318
4378
5478
6698
71268
83318
912538
done50008
099
1179
2406
3726
41676
55366
622166
done50016
099
1179
2406
3726
41676
55366
622166
done50016
066
196
2126
3146
4166
5176
done176
066
196
2126
3146
4166
5176
done176
099
1179
2307
3377
4457
5567
6807
71397
83497
912797
done50007
099
1179
2307
3377
4457
5567
6807
71397
83497
912797
done50007
0910
1178
2356
3666
41606
55266
621906
done50006
0910
1178
2356
3666
41606
55266
621906
done50006
077
1157
2387
3577
4737
5877
61097
71727
83797
913107
done50007
0910
11710
23110
33610
44210
55210
67410
713710
835010
9127810
done500110
0910
11710
23110
33610
44210
55210
67410
713710
835010
9127810
done500110
01011
12011
24811
310811
433811
5132711
done500111
01011
12011
2488
3978
42768
510818
done50018
0910
11910
24710
38510
414010
517910
621310
727910
848810
9144010
done500010
078
1128
2208
3288
4378
5438
6488
done488
01011
12011
23611
34911
46411
58011
610911
717011
837811
9129611
done500011
01011
12011
2389
3519
4669
5829
61119
71759
83849
912969
done50019
0910
11910
24710
38510
414010
517910
621310
727910
848810
9144010
done500010
01012
12010
2438
3918
42698
510858
done50008
01011
12011
24811
310811
433811
5132711
done500111
01011
12011
2488
3978
42768
510818
done50018
0910
11910
24710
38510
414010
517910
621310
727910
848810
9144010
done500010
078
1128
2208
3288
4378
5438
6488
done488
01011
12011
23611
34911
46411
58011
610911
717011
837811
9129611
done500011
01011
12011
2389
3519
4669
5829
61119
71759
83849
912969
done50019
0910
11910
24710
38510
414010
517910
621310
727910
848810
9144010
done500010
01012
12010
2438
3918
42698
510858
done50008
0910
11910
24710
310710
433510
5132710
done500010
0910
11910
2477
3967
42757
510897
done50007
089
1189
2469
3849
41389
51759
62089
72739
84869
914129
done50009
067
1117
2197
3277
4367
5427
6477
7487
done487
0910
11910
23510
34810
46310
57910
610610
717110
839510
9132510
done500010
0910
11910
2378
3508
4658
5818
61108
71728
83788
912868
done50008
089
1189
2469
3849
41389
51759
62089
72739
84869
914129
done50009
0911
1199
2427
3907
42687
510697
done50007
089
1189
2469
3849
41389
51759
62089
72739
84869
914129
done50009
089
1199
2437
31467
44517
513487
done50007
045
175
295
done95
01419
13419
29019
326217
4100115
5485415
done500015
01315
12915
25611
39711
421211
55719
626889
done50009
01315
12915
25611
39711
421211
55719
626889
done50009
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
055
1115
2275
3325
4385
5485
6705
71295
83465
912725
done50005
055
1115
2275
3325
4385
5485
6705
71295
83465
912725
done50005
055
1115
2275
3325
4385
5485
6705
71295
83465
912725
done50005

prune414.0ms

Filtered
96 candidates to 128 candidates (-33.3%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1280128
Fresh022
Picked011
Done000
Total1283131

Merged error: 0.0b

Counts
131 → 3

regimes33.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01931
12631
done2631

end0.0ms

sample4.7s

Algorithm
intervals
Results
2.9s3381×body1280valid
1.1s2541×body640valid
278.0ms1249×body320valid
143.0ms8000×pre80true
81.0ms615×body160valid
13.0ms214×body80valid

Profiling

Loading profile data...