Details

Time bar (total: 10.2min)

sample34.0ms

Algorithm
intervals
Results
11.0ms382×body80valid

simplify23.7s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
089
1149
2289
3709
41749
53719
66909
712269
823419
929409
1031199
1134189
1238499
1342509
1445909
1548479
1648719
done48719

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (- y z) (- t x)))
0.0b
(* (- y z) (- t x))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
*-un-lft-identity
flip3-- flip--
associate-*r* associate-*l*
pow1 add-exp-log distribute-rgt-in frac-times add-cube-cbrt sub-neg associate-+r+ distribute-lft-in add-cbrt-cube add-log-exp
associate-*r/ associate-*l/ distribute-lft-out-- difference-of-squares
+-commutative flip3-+ pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
2 → 49
Calls
2 calls:
5.0ms
(+ x (* (- y z) (- t x)))
11.0ms
(* (- y z) (- t x))

series28.0ms

Counts
2 → 6
Calls
2 calls:
17.0ms
(+ x (* (- y z) (- t x)))
11.0ms
(* (- y z) (- t x))

simplify3.2min

Counts
55 → 55
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
077
1127
2267
3607
41247
52167
62917
74157
86537
98127
108197
done8197
099
1149
2169
done169
088
1168
2318
3658
41298
52238
62988
74228
86608
98238
108308
done8308
088
1158
2408
31008
42288
55128
612248
748418
done50008
01123
12223
27911
333811
415899
done50019
0917
11417
22817
36217
412617
522217
629717
742117
865917
981817
1082517
done82517
088
1138
2278
3618
41258
52198
62948
74188
86568
98158
108228
done8228
0923
12423
21039
35329
424859
done50009
088
1138
2278
3618
41258
52198
62948
74188
86568
98158
108228
done8228
088
1138
2278
3618
41258
52198
62948
74188
86568
98158
108228
done8228
01215
14015
29315
328815
4133015
done500115
01523
13619
211519
348519
4161419
done500019
01215
13315
27815
325915
4128615
done500115
01115
12613
27713
320913
448613
5100913
6117813
7118013
done118013
01215
13315
27815
325915
4128515
done500015
01115
12613
27913
321113
444613
598713
6136413
7137813
done137813
01115
12215
25615
322615
4104115
5374515
done500015
077
1167
2417
3617
4877
5957
done957
099
1149
2169
done169
099
1149
2169
done169
055
185
2155
3205
4245
done245
066
1116
2216
3436
4675
5735
done735
055
185
2155
3205
4245
done245
066
1116
2216
3436
4675
5735
done735
055
185
2155
3205
4245
done245
066
1116
2276
3456
4665
5715
done715
055
185
2155
3205
4245
done245
066
1116
2276
3456
4665
5715
done715
0913
11613
22613
34313
45713
56713
done6713
088
1138
2218
3268
4308
done308
055
1103
2203
3313
4403
5443
done443
099
1199
2399
3669
41139
51629
62329
74139
86499
97229
107269
done7269
055
1103
2203
3313
4403
5443
done443
088
1138
2218
3268
4308
done308
088
1138
2218
3268
4308
done308
077
1127
2267
3607
41247
52167
62917
74157
86537
98127
108197
done8197
099
1149
2289
3629
41269
52229
62979
74279
86469
98039
108109
done8109
077
1127
2267
3607
41247
52167
62917
74157
86537
98127
108197
done8197
01011
12811
26311
317911
461611
5228511
done500111
0911
11711
24111
313611
442711
5104211
6291611
done500011
01011
12811
26311
317911
461511
5229811
done500011
0911
11711
24111
313611
442711
5104411
6290911
done500011
01011
12010
24610
311710
431310
583310
6225210
done500110
0910
11510
22910
37110
417510
538310
670510
7124010
8236810
9296110
10314210
11344310
12387610
13428110
14461710
15488510
16491510
17492310
18494010
19496110
done500010
0910
11810
23710
310310
427610
574610
6202410
done500110
01021
11621
23021
37221
417621
537021
668921
7122621
8234821
9294621
10312921
11343821
12386521
13426621
14460021
15486121
16488521
done488521
0910
11510
22910
37110
417510
538310
670510
7124010
8236810
9296110
10314210
11344310
12387610
13428110
14461710
15488310
16490710
done490710
01029
12929
29111
341811
4260211
done500011
0910
11510
22910
37110
417510
538310
670510
7124010
8236810
9296110
10314210
11344310
12387610
13428110
14461710
15488310
16490710
done490710
0910
11510
22910
37110
417510
538310
670510
7124010
8236810
9296110
10314210
11344310
12387610
13428110
14461710
15488310
16490710
done490710
01113
13313
28513
335113
4160213
done500013
01229
13421
212521
350721
4202421
done500121
01019
12719
29519
343019
4187019
done500019
089
1159
2369
31049
42819
57399
611399
717839
824559
927599
1029229
1132289
1236619
1340609
1443869
1546569
1646809
done46809
077
1117
2187
3277
4367
5397
6457
7567
8797
91067
101357
111497
121707
131937
141947
done1947
077
1117
2187
3277
4367
5397
6457
7567
8797
91067
101357
111497
121707
131937
141947
done1947
077
1117
2187
3277
4367
5397
6457
7567
8797
91067
101357
111497
121707
131937
141947
done1947
077
1117
2187
3277
4367
5397
6457
7567
8797
91067
101357
111497
121707
131937
141947
done1947
011
done11
0911
11711
2289
3549
4699
5989
61539
72089
82289
92359
done2359
0911
11711
2289
3549
4699
5989
61539
72089
82289
92359
done2359
079
1149
2327
3527
4757
5977
61267
71617
82047
92457
103187
114687
128367
1310087
done10087
0911
11711
2329
3449
4569
5779
61149
71629
81949
92049
102309
112399
122409
done2409
0911
11711
2329
3449
4569
5779
61149
71629
81949
92049
102309
112399
122409
done2409

prune75.0ms

Filtered
42 candidates to 55 candidates (-31.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New53255
Fresh000
Picked101
Done000
Total54256

Merged error: 0.0b

Counts
56 → 2

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- y z) (neg x))
0.0b
(+ (+ x (* (- y z) t)) (* (- y z) (neg x)))
0.0b
(+ x (* (- y z) t))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
10×associate-*r* add-log-exp
*-un-lft-identity
add-cube-cbrt
associate-*l/
pow1 add-exp-log associate-*l* add-cbrt-cube
flip3-+ frac-add sum-log flip-+
distribute-lft-neg-in flip3-- distribute-rgt-neg-in distribute-rgt-neg-out flip--
+-commutative
neg-mul-1 associate-+l+ unsub-neg pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 60
Calls
3 calls:
9.0ms
(* (- y z) (neg x))
7.0ms
(+ (+ x (* (- y z) t)) (* (- y z) (neg x)))
4.0ms
(+ x (* (- y z) t))

series39.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(* (- y z) (neg x))
17.0ms
(+ (+ x (* (- y z) t)) (* (- y z) (neg x)))
13.0ms
(+ x (* (- y z) t))

simplify3.2min

Counts
69 → 69
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
099
1178
2368
3638
41338
52688
66788
723828
done50018
088
1128
2198
3288
4378
5408
6468
7578
8808
91078
101368
111508
121718
131948
141958
done1958
088
1158
2278
3528
4998
51978
64748
716898
done50008
0917
11317
22017
32917
43817
54117
64717
75817
88117
910817
1013717
1115117
1217217
1319517
1419617
done19617
088
1128
2198
3288
4378
5408
6468
7578
8808
91078
101368
111508
121718
131948
141958
done1958
0923
12623
2819
33159
413969
done50019
088
1128
2198
3288
4378
5408
6468
7578
8808
91078
101368
111508
121718
131948
141958
done1958
088
1128
2198
3288
4378
5408
6468
7578
8808
91078
101368
111508
121718
131948
141958
done1958
01011
13011
27511
324211
476211
5232411
done500011
01123
13117
29817
328917
475117
5195617
done500017
0915
12415
27315
324215
472315
5182915
done500015
077
1127
2267
3487
4797
5907
61037
71187
81527
91827
101837
done1837
01317
12816
27615
320011
464010
5316710
done500010
01216
12715
27114
317911
453110
5235210
done500010
01115
12115
24711
311110
426510
554710
6109610
7211110
8250210
9267210
10298010
11340510
12380410
13413610
14439410
15442410
16443210
17444910
18447010
19455010
20484110
done500110
01115
12415
26411
317510
448510
5179010
done500110
01231
12231
24823
311021
426421
555021
6109421
7210121
8249121
9266421
10297621
11340121
12380221
13414821
14442221
15444621
done444621
01115
12115
24711
311110
426510
554710
6109610
7211110
8250210
9267210
10298010
11340510
12380410
13413610
14439210
15441610
done441610
01244
13544
215312
389811
done500211
01115
12115
24711
311110
426510
554710
6109610
7211110
8250210
9267210
10298010
11340510
12380410
13413610
14439210
15441610
done441610
01115
12115
24711
311110
426510
554710
6109610
7211110
8250210
9267210
10298010
11340510
12380410
13413610
14439210
15441610
done441610
02858
19450
230550
3136949
done500049
01735
15127
217127
367227
4312527
done500027
02450
17744
225944
3119743
done500139
01327
14121
213321
345121
4155021
done500221
02446
17444
224944
3117836
done500135
01319
13217
29317
330017
4111017
5334817
done500017
01938
15338
219638
391230
4462925
done500025
0911
12211
25511
314611
441511
586811
6245411
done500011
01318
13718
212018
348817
4236017
done500017
01444
14437
218137
373730
4349230
done500030
01229
13729
214527
357921
4234819
done500019
01014
12114
25110
31279
43039
56289
611879
720609
827779
930179
1034429
1138459
1241759
1344359
1444599
done44599
0912
1188
2387
3837
41527
52287
63197
75337
86977
97097
done7097
066
1116
2216
3436
4675
5735
done735
088
1118
2128
done128
077
1157
2267
3517
4766
5826
done826
077
1147
2387
3837
41636
53036
66776
723076
done50016
01020
12618
28710
333210
411958
done50018
0815
11315
22315
34515
46913
57513
done7513
077
1127
2227
3447
4686
5746
done746
0820
12320
21048
35138
423617
done50007
077
1127
2227
3447
4686
5746
done746
077
1127
2227
3447
4686
5746
done746
088
1118
2128
done128
088
1118
2128
done128
055
185
2155
3205
4245
done245
0811
11311
22211
33911
45311
56311
done6311
077
1107
2177
3227
4267
done267
055
1103
2203
3313
4403
5443
done443
055
185
2164
3254
4363
5383
done383
0810
11610
23510
38710
41379
51799
62539
72829
83349
93389
done3389
077
1127
2227
3447
4686
5746
6846
7986
81236
91256
done1256
066
1145
2244
3514
4933
done933
079
1129
2219
3389
4509
5589
done589
066
196
2166
3216
4256
done256
055
1103
2203
3313
4403
5443
done443
077
1127
2167
3177
done177
077
1127
2167
3177
done177
066
1116
2216
3436
4675
5735
done735
088
1138
2238
3458
4697
5777
done777
066
1116
2216
3436
4675
5735
done735
0910
12710
25810
316210
45019
519639
done50009
0810
11610
23810
311610
43279
56659
610949
720549
done50009
011
done11
089
1159
2307
3387
4457
5567
6797
71067
81357
91497
101707
111937
121947
done1947
089
1159
2307
3387
4457
5567
6797
71067
81357
91497
101707
111937
121947
done1947
079
1149
2327
3527
4757
5977
61267
71617
82047
92457
103187
114687
128367
1310087
done10087
0911
11711
2329
3449
4569
5779
61149
71629
81949
92049
102309
112399
122409
done2409
0911
11711
2329
3449
4569
5779
61149
71629
81949
92049
102309
112399
122409
done2409
011
done11
067
1125
2215
3225
done225
067
1125
2215
3225
done225

prune88.0ms

Filtered
60 candidates to 69 candidates (-15.0%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New69069
Fresh011
Picked011
Done000
Total69271

Merged error: 0.0b

Counts
71 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- t x))
0.0b
(sqrt (- t x))
0.1b
(* (- y z) (sqrt (- t x)))
0.2b
(* (* (- y z) (sqrt (- t x))) (sqrt (- t x)))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
46×sqrt-div
35×flip3-- flip--
32×frac-times
27×add-sqr-sqrt
21×*-un-lft-identity sqrt-prod
16×associate-*r* associate-*l/
13×pow1
11×add-exp-log add-cube-cbrt add-cbrt-cube
10×associate-*r/
associate-*l*
distribute-lft-out-- difference-of-squares
pow-prod-down prod-exp cbrt-unprod add-log-exp
rem-sqrt-square sqrt-pow1 pow1/2 *-commutative unswap-sqr
Counts
4 → 117
Calls
4 calls:
10.0ms
(sqrt (- t x))
4.0ms
(sqrt (- t x))
12.0ms
(* (- y z) (sqrt (- t x)))
18.0ms
(* (* (- y z) (sqrt (- t x))) (sqrt (- t x)))

series54.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(sqrt (- t x))
10.0ms
(sqrt (- t x))
21.0ms
(* (- y z) (sqrt (- t x)))
12.0ms
(* (* (- y z) (sqrt (- t x))) (sqrt (- t x)))

simplify3.4min

Counts
129 → 129
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
0913
11713
2267
3547
4957
51667
62627
73377
84617
97167
109447
119947
129957
done9957
0913
11713
2267
3547
4957
51667
62627
73377
84617
97167
109447
119947
129957
done9957
01116
11916
22412
32512
done2512
01115
11915
23015
33812
44312
done4312
01014
12114
2368
3688
41118
51838
62778
73528
84768
97328
109648
1110248
1210398
1310418
done10418
01014
12014
2398
3948
42088
54608
610988
731538
done50008
01341
12929
211917
355311
4281211
done500011
01341
13329
214317
370717
435479
done50009
01129
11929
22817
35617
49717
516817
626017
733517
845917
971517
1094317
1199417
1299517
done99517
01014
11814
2278
3558
4968
51678
62638
73388
84628
97188
109428
119918
129948
done9948
01141
12841
2929
33779
419169
done50019
01014
11814
2278
3558
4968
51678
62638
73388
84628
97188
109428
119918
129948
done9948
01014
11814
2278
3558
4968
51678
62638
73388
84628
97188
109428
119918
129948
done9948
01425
14525
29315
323415
477715
5451615
done500015
01737
13531
26619
316419
447519
5150919
done500019
01825
15225
211025
326325
477425
5264725
done500025
01929
13725
27225
316925
428225
535825
636025
done36025
01825
15225
211025
326325
476825
5261425
done500025
01929
13725
27225
316925
428225
535125
635325
done35325
01425
13825
27415
320315
471715
5368215
done500015
01321
12519
24813
312913
427113
550213
6102813
7141113
8143313
done143313
01425
13825
28015
320815
474815
5375215
done500115
01329
12525
24213
38413
418313
541313
690413
7130613
8132213
done132213
01825
14525
29725
323325
458125
5126025
6348525
done500125
01521
12719
24819
37519
48019
done8019
01825
14525
29725
323125
458025
5125425
6346725
done500025
01521
12719
24819
37519
48019
done8019
01325
12725
25415
316915
467515
5228315
done500015
0913
11513
2247
3497
4737
51057
61357
71377
done1377
01221
13321
26311
312911
434611
5142811
done500111
0925
1169
2259
3269
4279
done279
01621
14021
28021
315221
428721
568221
6255421
done500121
01117
11915
22615
32715
42815
done2815
01621
14021
28021
315221
428621
567221
6251621
done500121
01117
11915
22615
32715
42815
done2815
01121
12221
23711
38811
425611
563811
6166311
done500011
059
163
273
done73
01621
14921
210221
324421
473321
5249221
done500021
01624
13120
26120
39620
411620
511820
done11820
01621
14121
28721
322121
464421
5223121
done500121
01216
12114
24314
37714
410014
510214
done10214
01621
14221
28921
321221
453821
5118421
6333921
done500021
01216
12114
23714
34014
44114
done4114
01521
13021
26721
318121
445221
581121
6135921
7319721
done500021
088
1118
2198
done198
01120
12120
24220
38520
414120
519520
623420
723920
done23920
01219
12114
23514
36214
48314
510214
610814
done10814
01014
11814
23214
36114
48214
510114
610914
done10914
01111
12110
23510
3628
4948
51178
61298
done1298
01315
12215
23615
36315
48415
510315
610915
done10915
01111
12110
23510
3628
4948
51178
61298
done1298
01014
11814
23214
36114
48214
510114
610914
done10914
01010
1208
2408
3698
41058
51308
61428
done1428
059
173
293
done93
01417
13717
27217
313317
424417
559717
6235117
done500017
01317
12517
25017
310217
415117
521817
637317
7155717
done500017
01621
14921
210221
324421
474421
5253421
done500121
01621
14121
28721
322121
466021
5227721
done500021
01621
14221
28921
321221
454421
5117621
6337421
done500021
01521
13021
26721
318121
444821
579521
6133821
7319721
done500121
01417
13717
27217
313317
424117
559817
6239017
done500117
01317
12517
25017
310217
415117
522517
638217
7157817
done500117
01217
13317
26311
316911
454011
5204311
done500111
01117
12217
24311
313111
439611
586411
6211511
done500111
088
1138
2218
3268
4308
done308
01010
11510
21710
done1710
099
1179
2269
3319
4359
done359
099
1169
2359
3549
4979
51829
64339
713159
done50019
01226
12320
27512
328212
4107610
5467110
done500010
01019
11519
22319
32819
43219
done3219
099
1149
2229
3279
4319
done319
01026
12526
28010
331610
4116810
5442010
done500010
099
1149
2229
3279
4319
done319
099
1149
2229
3279
4319
done319
01316
14116
28816
319816
446916
5146516
done500016
01624
13120
26120
39620
411620
511820
done11820
01316
13416
26916
316316
437416
5108416
6475416
done500016
01216
12114
24314
37714
410014
510214
done10214
01316
13416
27316
315316
432616
575716
6270416
done500016
01216
12114
23714
34014
44114
done4114
01216
12316
24716
310816
421616
534316
656416
7110116
done500016
088
1118
2198
done198
01010
11510
21710
done1710
01010
11510
21710
done1710
01010
11510
21710
done1710
01010
11510
21710
done1710
01015
11715
22715
34415
45615
56415
done6415
01014
1169
2249
3299
4339
done339
099
1149
2229
3279
4319
done319
066
1115
2185
3233
4373
5413
done413
01010
11410
22110
32610
43010
done3010
066
1115
2185
3233
4373
5413
done413
099
1149
2229
3279
4319
done319
055
1103
2203
3313
4403
5443
done443
099
1149
2169
done169
099
1149
2169
done169
088
1138
2218
3268
4308
done308
01010
11510
22310
32810
43210
done3210
088
1138
2218
3268
4308
done308
01112
12912
25812
39712
419112
551612
6231112
done500012
01012
11812
23212
35212
48112
512212
618412
735212
8164212
done500012
01112
12912
25812
313712
431512
599412
6453012
done500012
01012
11812
23612
38212
416912
525512
642112
779012
8342512
done500012
055
175
285
done85
055
175
285
done85
0611
1811
2911
done911
055
175
285
done85
0614
198
2196
3296
4396
5496
6706
71286
83416
912596
done50006
0610
195
2105
done105
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
3788
41658
54978
622668
done50008
0812
11510
22310
32610
42710
done2710
068
1118
2188
3338
4588
5998
61578
73258
815708
done50008
044
154
done54
033
161
done61
055
175
285
done85
055
175
285
done85
055
175
285
done85
055
175
285
done85
0611
1811
2911
done911
055
175
285
done85
0614
198
2196
3296
4396
5496
6706
71286
83416
912596
done50006
0610
195
2105
done105
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
3788
41658
54978
622668
done50008
0812
11510
22310
32610
42710
done2710
068
1118
2188
3338
4588
5998
61578
73258
815708
done50008
044
154
done54
033
161
done61
055
175
285
done85
055
175
285
done85
011
done11
0911
11711
2289
3549
4699
5989
61539
72089
82289
92359
done2359
0911
11711
2289
3549
4699
5989
61539
72089
82289
92359
done2359
011
done11
01319
12919
26419
314015
428813
558411
6110211
7197311
8400511
done500011
01319
12919
26419
314015
428813
558411
6110211
7197311
8400511
done500011
01619
14219
212319
328817
460617
5134415
6409815
done500115
01419
13919
212519
336519
4128715
5407015
done500015
01419
13919
212519
336519
4128715
5407015
done500015
01619
14219
212319
328817
460617
5134415
6409815
done500115
01419
13919
212519
336519
4128715
5407015
done500015
01419
13919
212519
336519
4128715
5407015
done500015

prune146.0ms

Filtered
101 candidates to 129 candidates (-27.7%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1290129
Fresh000
Picked011
Done011
Total1292131

Merged error: 0.0b

Counts
131 → 2

regimes246.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01014
11614
21914
32014
done2014

end0.0ms

sample1.0s

Algorithm
intervals
Results
380.0ms12198×body80valid

Profiling

Loading profile data...