Details

Time bar (total: 20.5min)

sample102.0ms

Algorithm
intervals
Results
26.0ms256×body80valid
25.0ms246×body80nan

simplify1.4s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02833
15033
210533
333133
4128133
done500133

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 3.8b

Counts
2 → 1

localize29.0ms

Local error

Found 4 expressions with local error:

0.2b
(* z (sqrt (+ t a)))
0.3b
(/ 2.0 (* t 3.0))
2.6b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
5.2b
(/ (* z (sqrt (+ t a))) t)

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
20×frac-sub
16×add-exp-log add-cbrt-cube
15×add-sqr-sqrt
13×*-un-lft-identity
11×add-cube-cbrt
flip3-- flip--
frac-times associate-*r/
associate-*r*
pow1 times-frac associate--r+ add-log-exp
flip3-+ sqrt-prod flip-+
cbrt-undiv sqrt-div div-exp associate-/r* associate-/l*
distribute-rgt-in sub-neg distribute-lft-in associate-*l* prod-exp cbrt-unprod
frac-2neg associate-*l/ associate--l+ clear-num div-inv associate-/l/ unswap-sqr
diff-log pow-prod-down *-commutative distribute-lft-out
Counts
4 → 101
Calls
4 calls:
8.0ms
(* z (sqrt (+ t a)))
6.0ms
(/ 2.0 (* t 3.0))
15.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
9.0ms
(/ (* z (sqrt (+ t a))) t)

series100.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(* z (sqrt (+ t a)))
2.0ms
(/ 2.0 (* t 3.0))
63.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
20.0ms
(/ (* z (sqrt (+ t a))) t)

simplify3.1min

Counts
113 → 113
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01011
11611
22311
32911
43511
54411
65711
77511
89111
99811
1011511
1111711
done11711
0910
11610
22210
33110
43410
54010
64910
76210
88010
99610
1010310
1112010
1212210
done12210
089
1159
2279
3469
4629
5709
6829
71009
81169
91239
101409
111429
done1429
089
1129
2169
3219
4309
5439
6769
71599
83789
910309
1046329
done50009
01326
12920
214214
366614
4260012
done500112
01126
13126
213212
372110
4282310
done500010
0919
11319
21719
32019
42119
done2119
089
1129
2169
3199
4209
done209
0926
12026
26110
323810
499910
5302110
done500110
089
1129
2169
3199
4209
done209
089
1129
2169
3199
4209
done209
077
1137
2157
done157
022
done22
057
177
done77
067
177
done77
044
done44
067
177
done77
033
151
done51
056
166
done66
033
153
done53
078
1118
2138
done138
0912
11812
23212
34512
44912
done4912
089
1129
2169
3199
4209
done209
088
1146
2226
3316
4366
done366
056
166
done66
0914
11812
23312
34612
46612
58712
610412
712712
817012
923212
1023312
done23312
056
186
296
done96
02326
14225
29125
326125
484125
5324925
done500025
02225
13925
28225
324825
482025
5288825
done500025
02225
14225
29125
330325
4103625
5395325
done500125
02351
14051
28351
324951
482151
5287851
done500051
02225
13925
28225
324825
482025
5288825
done500025
02374
14174
29826
336926
4203826
done500026
02225
13925
28225
324825
482025
5288825
done500025
02225
13925
28225
324825
482025
5288825
done500025
04084
111274
235774
3186874
done500074
02235
15329
216829
382129
4445129
done500029
03662
19260
230560
3164754
done500054
01823
13721
212421
360621
4244321
done500021
03880
111472
246272
3284272
done500072
02449
16441
226841
3154541
done500041
03464
19562
235962
3202562
done500062
02025
14423
216323
379923
4304623
done500023
03676
19668
231468
3153368
done500168
01827
14323
213823
355623
4247423
done500023
03154
17254
225554
3130948
done500044
01415
12715
29415
336015
4102515
5232015
6466615
done500015
03472
19866
240766
3232066
done500066
02041
15435
222635
3109135
done500035
02956
17556
229756
3157156
done500056
01617
13417
212117
342217
4107017
5241117
6400715
done500015
03268
18660
226160
3107258
done500058
01423
13519
29219
327419
480619
5197119
6391219
done500019
02746
16246
220246
384538
4389438
done500038
01011
11911
24811
311811
421211
535411
654311
771211
882211
984611
1084711
done84711
03064
18858
234558
3165658
done500058
01637
14631
216031
361931
4202531
done500031
02548
16548
223548
398848
done500136
01213
12613
25513
39613
412513
514311
627111
7121411
done500011
03040
17538
222838
382438
4390238
done500138
0913
12311
25211
37811
48711
58911
done8911
02532
15532
216432
366332
4350428
done500028
055
1135
2145
done145
02428
16028
218328
392828
done500028
02574
16258
222258
3121458
done500058
01616
13116
28616
329016
487215
5268615
done500015
02349
15449
217649
389449
done500049
02124
13724
27324
319124
455124
5178324
done500024
01618
13218
27218
317118
439218
575318
6138218
7238618
8274918
9275418
done275418
01214
12114
23914
36414
49614
510414
611714
714814
821414
928814
1029114
done29114
01618
13218
27218
317118
439218
575318
6138218
7238618
8274918
9275418
done275418
01618
12618
25218
312518
431918
577118
6124218
7211618
8325818
9353918
10354518
done354518
01214
12114
23914
36414
49614
510414
611714
714814
821414
928814
1029114
done29114
01618
12618
25218
312518
431918
577118
6124218
7211618
8325818
9353918
10354518
done354518
01616
13116
28616
329016
487215
5268615
done500015
088
1138
2228
3328
4428
5588
6778
7938
8988
done988
077
1137
2207
3287
4377
5497
6687
7947
81047
done1047
066
1126
2226
3346
4476
5586
6746
7936
81096
91146
done1146
066
196
2116
done116
01117
12617
211411
352411
418849
done50009
0917
12817
21309
36697
421907
540577
done50007
0713
11013
21213
done1213
066
196
2116
done116
0717
11717
2657
33217
412057
527187
645137
done50007
066
196
2116
done116
066
196
2116
done116
022
done22
044
194
2114
done114
057
177
297
3107
done107
044
done44
044
done44
044
done44
033
153
done53
033
done33
055
1105
2125
done125
055
185
2125
3155
4165
done165
033
done33
066
196
2136
3166
4176
done176
066
196
2136
3166
4176
done176
055
185
2125
3155
4165
done165
066
186
done86
088
1108
done108
077
1127
2137
done137
077
1117
2177
3257
4487
51047
62507
77117
827237
done50007
01020
11814
26010
317310
42988
54948
610698
733938
done50018
0815
11015
done1015
077
197
done97
0820
12020
2498
31188
42308
53058
65008
711108
835628
done50008
077
197
done97
077
197
done97
088
1108
done108
088
1108
done108
088
1108
done108
088
1108
done108
0813
11213
21413
done1413
0812
1117
done117
077
197
done97
044
173
done73
044
173
done73
077
197
done97
033
161
done61
077
197
done97
077
197
done97
066
186
done86
0910
12410
23310
35010
49110
520210
660510
7242710
done500110
0810
11410
22110
33610
46110
510210
616410
733210
8161610
done500010
01723
14623
212723
342719
4162617
5480117
done500017
01929
15729
222929
3115525
done500125
01927
15627
218627
364025
4296023
done500023
01517
13017
25915
38215
410313
514413
623613
735913
844713
947113
1053313
1161113
1261213
done61213
0911
1199
2349
3449
4559
5749
61069
71539
81909
92169
102559
112769
done2769
0911
1199
2349
3449
4559
5749
61069
71539
81909
92169
102559
112769
done2769
033
done33
033
done33
033
done33
01925
15325
217021
357321
4243819
done500019
01725
14925
216825
360923
4338119
done500119
01723
14823
214123
336521
4118919
5438819
done500019

prune283.0ms

Filtered
95 candidates to 113 candidates (-18.9%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1103113
Fresh000
Picked101
Done000
Total1113114

Merged error: 0.3b

Counts
114 → 3

localize35.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
1.9b
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
2.6b
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
63×add-sqr-sqrt
60×frac-sub
58×times-frac
47×*-un-lft-identity
46×associate-*r*
39×frac-times
35×add-cube-cbrt
31×cbrt-prod
28×sqrt-prod
27×associate-*r/
25×add-exp-log flip3-- flip--
21×associate-*l/
18×add-cbrt-cube
10×unswap-sqr
flip3-+ flip-+
prod-exp cbrt-unprod
cbrt-undiv div-exp associate-*l*
pow1 distribute-lft-out associate--r+ add-log-exp
distribute-rgt-in sub-neg distribute-lft-in
pow1/3 associate--l+ div-inv
diff-log pow-prod-down *-commutative
Counts
4 → 169
Calls
4 calls:
2.0ms
(cbrt t)
2.0ms
(cbrt t)
26.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
23.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

series150.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(cbrt t)
29.0ms
(cbrt t)
25.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
71.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

simplify5.6min

Counts
181 → 181
Iterations

Useful iterations: 3 (3.0ms)

IterNodesCost
02633
15132
212032
333532
4104928
5435425
done500025
02532
14632
210432
330132
490528
5299925
done500025
02532
14932
211732
336632
4118828
5471725
done500025
02665
14765
210565
330265
490857
5300451
done500051
02532
14632
210432
330132
490528
5299925
done500025
02695
14895
212033
344633
4244629
done500029
02532
14632
210432
330132
490528
5299925
done500025
02532
14632
210432
330132
490528
5299925
done500025
04391
111881
238377
3206774
done500074
02542
15936
219332
3115529
done500029
03969
19867
233163
3185054
done500054
02130
14328
214924
393921
4445021
done500021
04187
112079
248875
3303472
done500072
02756
17048
229744
3190741
done500041
03771
110169
238565
3225862
done500062
02332
15030
219226
3112723
done500023
03983
110275
234071
3175868
done500168
02134
14930
216326
382423
4426923
done500023
03461
17861
228257
3153248
done500048
01722
13322
211918
361515
4229015
done500015
03779
110473
243369
3253266
done500066
02348
16042
225538
3138135
done500035
03263
18163
232459
3182256
done500056
01924
14024
215020
366917
4215217
done500017
03575
19267
228763
3125560
done500060
01730
14126
212322
349719
4188819
done500019
03053
16853
222949
3103340
done500040
01318
12518
27914
328911
472611
5153311
6301811
done500011
03371
19465
237161
3184358
done500058
01944
15238
220234
386531
4336531
done500031
02855
17155
226251
3121748
done500236
01520
13220
29716
324613
441213
565513
678813
793613
8113111
9394111
done500111
03347
18145
225441
3106038
done500138
01220
12918
29414
323611
434911
536411
637711
740011
846111
967511
10160111
done500011
02839
16139
219135
393132
done500128
0812
11912
2508
3695
4735
5795
6895
71105
81715
93855
1013305
done50005
04391
111981
238581
3215581
done500181
02336
15430
216930
386730
done500030
03969
19967
233367
3195061
done500161
01924
13822
212522
365422
4284222
done500022
04187
112179
249079
3313979
done500079
02550
16542
226942
3154842
done500142
03771
110269
238769
3233669
done500069
02126
14524
216424
380224
4304624
done500124
03983
110375
234275
3178375
done500075
01928
14424
213924
360024
4282124
done500024
03461
17961
228361
3156055
done500055
01516
12816
29516
339816
4131716
5306516
done500016
03779
110573
243573
3255973
done500073
02142
15536
222736
3109336
done500036
03263
18263
232563
3182463
done500063
01718
13518
212218
342318
4107118
5241618
6398918
7431118
8439018
9440118
10440718
done440718
03575
19367
228967
3131267
done500167
01524
13620
29920
330820
4100420
5280020
done500020
03053
16953
223053
3105847
done500047
01112
12012
25512
314112
430112
553912
688112
7126112
8148212
9157212
10157412
done157412
03371
19565
237965
3199765
done500165
01738
14732
216132
361732
4201232
done500032
02855
17255
226955
3126555
done500143
01314
12714
25614
39714
412614
514214
614314
done14314
03347
18245
226245
3109945
4491245
done500045
01014
12412
25312
37912
49012
59212
done9212
02839
16239
219839
383239
4390535
done500135
066
1146
2156
done156
04391
111981
238681
3216081
done500181
02439
15733
218133
3104233
done500033
03969
19967
233467
3194961
done500161
02027
14125
213725
382225
4391425
done500125
04187
112179
249179
3313579
done500079
02653
16845
228545
3179445
done500145
03771
110269
238869
3234669
done500069
02229
14827
218027
3100827
4430227
done500027
03983
110375
234375
3181575
done500175
02031
14727
215127
373427
4378727
done500127
03461
17961
228461
3158355
done500155
01619
13119
210719
352419
4193319
done500019
03779
110573
243673
3258373
done500073
02245
15839
224339
3128239
done500139
03263
18263
232663
3186163
done500063
01821
13821
213821
357321
4163421
5387421
done500021
03575
19367
229067
3130267
done500267
01627
13923
211123
341423
4150023
5476323
done500023
03053
16953
223153
3106347
done500047
01215
12315
26715
321215
448515
594115
6174015
7283415
8350415
9385415
10386115
done386115
03371
19565
238065
3194965
done500065
01841
15035
218835
376835
4273635
done500135
02855
17255
227055
3126055
done500043
01417
13017
27917
315917
425417
535317
638317
738817
done38817
03347
18245
226345
3111345
done500045
01117
12715
28015
316115
419815
520315
620415
done20415
02839
16239
219939
389639
4483335
done500035
079
1179
2329
done329
02735
16735
223035
3123228
done500028
02895
17279
229279
3168479
done500079
01616
13116
28616
329016
487215
5268615
done500015
02663
16463
223263
3113563
done500263
02431
14431
29531
324431
463727
5189924
done500024
01925
13925
29425
322425
447921
585318
6150818
7262218
8315518
9323418
10329918
11351318
12442918
done500018
01521
12821
26121
311721
418317
520314
622014
727714
845914
971214
1082914
11104014
12197414
done500114
01925
13925
29425
322425
447921
585318
6150818
7262218
8315518
9323418
10329918
11351318
12442918
done500018
01925
13325
27425
317825
440621
587818
6135518
7226318
8351918
9397918
10409818
11431118
done500018
01521
12821
26121
311721
418317
520314
622014
727714
845914
971214
1082914
11104014
12197414
done500114
01925
13325
27425
317825
440621
587818
6135518
7226318
8351918
9397918
10409818
11431118
done500018
01616
13116
28616
329016
487215
5268615
done500015
01015
11815
23715
37115
410711
51188
61228
71288
81388
91598
102238
114308
1213698
done50008
01320
12718
26518
315818
432815
548514
662614
766914
done66914
01319
12517
25617
312817
428417
545114
659414
764014
done64014
01419
12519
25518
314618
429715
546315
660814
765314
done65314
01318
12318
24817
311917
426217
543414
657614
762214
done62214
01318
12418
24218
310418
422617
546414
659514
766814
867014
done67014
01217
12217
23717
38417
419517
539915
655614
763714
865414
done65414
01116
12216
25416
312116
427112
54979
67999
79879
810659
910929
1011509
1113739
1223119
done50019
01116
12116
24616
39216
416712
52829
65669
722689
done50019
01326
13020
210816
345716
4189214
done500014
01433
13533
211917
349417
4266816
done500016
01640
14134
218020
3119516
done500116
01647
14547
219021
3126516
done500016
01440
13234
212218
362218
4387816
done500116
01447
13647
213219
363619
4391716
done500016
01233
12033
23933
37333
410825
511919
612319
712919
813919
916019
1022019
1143919
12136519
done500019
01116
11916
23816
37216
410812
51199
61239
71299
81399
91609
102209
114419
1213809
done50009
01247
13047
213217
376517
4392010
done500010
01116
11916
23816
37216
410812
51199
61239
71299
81399
91609
102209
114419
1213809
done50009
01116
11916
23816
37216
410812
51199
61239
71299
81399
91609
102209
114419
1213809
done50009
066
186
done86
048
158
274
3121
4161
5221
6321
7551
81221
93331
1012721
done50001
01217
11617
done1617
01217
11617
done1617
01418
12018
22318
32718
42818
done2818
01418
12018
22318
32718
42818
done2818
01318
11918
22218
32618
42718
done2718
01318
11918
22218
32618
42718
done2718
01418
12018
22318
32718
42818
done2818
01418
12018
22318
32718
42818
done2818
01318
11918
22218
32618
42718
done2718
01318
11918
22218
32618
42718
done2718
01114
11514
21814
32014
42214
52314
done2314
01114
11514
21814
32014
42214
52314
done2314
01315
11915
22815
34515
46615
57815
68015
done8015
01315
11915
22815
34515
46615
57815
68015
done8015
01215
11815
22715
34415
46515
57715
67915
done7915
01215
11815
22715
34415
46515
57715
67915
done7915
01315
11915
22815
34515
46615
57815
68015
done8015
01315
11915
22815
34515
46615
57815
68015
done8015
01215
11815
22715
34415
46515
57715
67915
done7915
01215
11815
22715
34415
46515
57715
67915
done7915
01225
12025
23825
37225
411825
514225
615125
done15125
01116
11716
22816
34116
45116
55416
done5416
01326
12326
25126
313726
433826
557126
664026
764826
done64826
01423
12423
25223
313823
433923
558023
665523
766323
done66323
01422
12621
25421
313719
438819
559819
663219
done63219
01427
12827
27927
324127
470927
5150227
6177827
7179127
done179127
01323
12323
25123
313723
433823
557123
664023
764823
done64823
01321
12519
25919
319419
447919
563419
663619
done63619
01325
12220
24120
38420
415520
520620
621320
done21320
01422
12317
24217
38517
415717
520717
621417
done21417
01421
12515
24415
38713
422913
533613
634813
done34813
01426
12521
25421
313321
430921
551421
654721
done54721
01322
12217
24117
38417
415517
520617
621317
done21317
01320
12413
24513
310213
421013
523013
done23013
01220
12020
23920
38220
415320
520320
621020
done21020
01317
12117
24017
38317
415417
520517
621217
done21217
01316
12315
24215
38513
422613
533413
634613
done34613
01321
12321
25221
313021
430721
551021
654321
done54321
01217
12017
23917
38217
415317
520317
621017
done21017
01215
12213
24313
310013
420813
522813
done22813
01017
11916
23816
38114
416914
523914
629114
729314
done29314
01114
12013
23913
38211
417011
523511
627811
728011
done28011
01013
11911
23711
3807
43347
58717
68927
78947
done8947
01118
12217
25117
312815
434815
557815
669015
769415
done69415
01014
11913
23813
38111
416911
523911
629111
729311
done29311
0912
1189
2367
3747
41647
52097
62107
done2107
01017
11916
23816
38114
416914
523914
629114
729314
done29314
01114
12013
23913
38211
417011
523511
627811
728011
done28011
01013
11911
23711
3807
43347
58717
68927
78947
done8947
01118
12217
25117
312815
434815
557815
669015
769415
done69415
01014
11913
23813
38111
416911
523911
629111
729311
done29311
0912
1189
2367
3747
41647
52097
62107
done2107
01220
12020
23920
38220
415320
520320
621020
done21020
01317
12117
24017
38317
415417
520517
621217
done21217
01316
12315
24215
38513
422613
533413
634613
done34613
01321
12321
25221
313021
430721
551021
654321
done54321
01217
12017
23917
38217
415317
520317
621017
done21017
01215
12213
24313
310013
420813
522813
done22813
0916
11816
23714
311114
419214
526214
630814
730914
done30914
01013
11913
23811
311211
419311
526711
631311
731511
done31511
0912
11811
2369
31107
43597
54537
64737
74757
done4757
01017
12117
24915
317115
438815
565315
677815
done77815
0913
11813
23711
311111
419211
526211
630811
730911
done30911
0811
1179
2357
3717
41607
52077
62087
done2087
079
1147
2327
3427
4577
5667
6777
7797
done797
0912
11512
22612
33912
44912
55212
done5212
01116
11716
22016
32416
42516
done2516
01116
11716
22016
32416
42516
done2516
01013
11613
22413
33613
44813
55113
done5113
01013
11613
22413
33613
44813
55113
done5113
0912
11512
22312
33512
44712
55012
done5012
01015
11815
23715
37115
410711
51188
61228
71288
81388
91598
102238
114308
1213698
done50008
01015
12015
23813
310513
42179
52326
62376
72456
82676
93256
104646
118946
1224776
done50016
0912
11512
22612
33912
44912
55212
done5212
089
1129
2159
3199
4209
done209
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
01517
13017
25915
38215
410313
514413
623613
735913
844713
947113
1053313
1161113
1261213
done61213
0911
1199
2349
3449
4559
5749
61069
71539
81909
92169
102559
112769
done2769
0911
1199
2349
3449
4559
5749
61069
71539
81909
92169
102559
112769
done2769
01723
14623
212723
342719
4162617
5480117
done500017
01929
15729
222929
3115525
done500125
01927
15627
218627
364025
4296023
done500023
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

prune451.0ms

Filtered
138 candidates to 181 candidates (-31.2%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1801181
Fresh022
Picked101
Done000
Total1813184

Merged error: 0.0b

Counts
184 → 3

localize28.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 2.0 (* t 3.0))
2.3b
(log (exp (/ 2.0 (* t 3.0))))
4.1b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (log (exp (/ 2.0 (* t 3.0)))))))
5.2b
(/ (* z (sqrt (+ t a))) t)

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
14×add-exp-log add-cbrt-cube
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
times-frac
log-pow frac-sub
exp-prod flip3-- flip--
associate--r+ add-log-exp
pow1
cbrt-undiv frac-times associate-*r/ div-exp associate-/r* associate-/l*
distribute-rgt-in sub-neg log-prod distribute-lft-in div-inv
frac-2neg sqrt-div associate-*l/ prod-exp associate--l+ clear-num cbrt-unprod associate-/l/
flip3-+ diff-log rem-log-exp flip-+
Counts
4 → 89
Calls
4 calls:
6.0ms
(/ 2.0 (* t 3.0))
11.0ms
(log (exp (/ 2.0 (* t 3.0))))
14.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (log (exp (/ 2.0 (* t 3.0)))))))
9.0ms
(/ (* z (sqrt (+ t a))) t)

series84.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(/ 2.0 (* t 3.0))
3.0ms
(log (exp (/ 2.0 (* t 3.0))))
59.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (log (exp (/ 2.0 (* t 3.0)))))))
20.0ms
(/ (* z (sqrt (+ t a))) t)

simplify2.5min

Counts
101 → 101
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01011
11611
22311
32911
43511
54411
65711
77511
89111
99811
1011511
1111711
done11711
0910
11610
22210
33110
43410
54010
64910
76210
88010
99610
1010310
1112010
1212210
done12210
089
1159
2279
3469
4629
5709
6829
71009
81169
91239
101409
111429
done1429
089
1129
2169
3219
4309
5439
6769
71599
83789
910309
1046329
done50009
01326
12920
214214
366614
4260012
done500112
01126
13126
213212
372110
4282310
done500010
0919
11319
21719
32019
42119
done2119
089
1129
2169
3199
4209
done209
0926
12026
26110
323810
499910
5302110
done500110
089
1129
2169
3199
4209
done209
089
1129
2169
3199
4209
done209
077
1137
2157
done157
022
done22
057
177
done77
067
177
done77
044
done44
067
177
done77
033
151
done51
056
166
done66
033
153
done53
078
1118
2138
done138
0912
11812
23212
34512
44912
done4912
089
1129
2169
3199
4209
done209
088
1146
2226
3316
4366
done366
056
166
done66
0914
11812
23312
34612
46612
58712
610412
712712
817012
923212
1023312
done23312
056
186
296
done96
02528
14425
29325
326225
484225
5324725
done500025
02427
14125
28425
325025
482025
5289825
done500025
02427
14425
29325
330425
4103725
5395325
done500025
02555
14251
28551
325151
482151
5289151
done500051
02427
14125
28425
325025
482025
5289825
done500025
02580
14374
210026
337126
4205126
done500026
02427
14125
28425
325025
482025
5289825
done500025
02427
14125
28425
325025
482025
5289825
done500025
04088
110772
241872
3252972
done500172
02655
16041
224241
3142841
done500141
03670
19362
233962
3194462
done500062
02227
14623
216523
380123
4303523
done500023
03680
19166
236366
3200266
done500066
02247
15035
220035
397335
done500035
03162
17356
227756
3148656
done500044
01819
13617
212317
342417
4107017
5238517
6403215
done500115
03272
18158
230158
3135458
done500158
01843
14231
213431
351731
4180831
done500031
02754
16348
221548
390748
done500236
01415
12813
25713
39813
412613
514411
627211
7120211
done500011
03242
17738
223038
382038
4391038
done500138
0913
12311
25211
37811
48711
58911
done8911
02734
15732
216632
366532
4351028
done500128
055
1135
2145
done145
02630
16228
218528
393228
done500128
02780
16458
222458
3121858
done500058
01818
13316
28816
329216
487815
5270515
done500015
02553
15649
217849
389949
done500249
02326
13924
27524
319324
455324
5174724
done500024
01618
13218
27218
317118
439218
575318
6138218
7238618
8274918
9275418
done275418
01214
12114
23914
36414
49614
510414
611714
714814
821414
928814
1029114
done29114
01618
13218
27218
317118
439218
575318
6138218
7238618
8274918
9275418
done275418
01618
12618
25218
312518
431918
577118
6124218
7211618
8325818
9353918
10354518
done354518
01214
12114
23914
36414
49614
510414
611714
714814
821414
928814
1029114
done29114
01618
12618
25218
312518
431918
577118
6124218
7211618
8325818
9353918
10354518
done354518
01818
13316
28816
329216
487815
5270515
done500015
0916
11416
21810
31910
done1910
088
1118
2138
done138
088
1118
2138
done138
088
1118
2138
done138
022
141
done41
077
1105
2125
done125
077
1105
2125
done125
0915
11413
22213
33013
45513
512813
637713
7135413
done500113
088
1116
2136
done136
079
197
2117
3147
4227
5357
6727
71777
85447
921867
done50017
066
done64
055
173
done73
033
161
done61
033
done31
088
1116
2196
3296
4406
5556
6686
7816
8956
91116
101156
done1156
088
1116
2136
done136
0917
11213
21413
done1413
088
1116
2136
done136
0923
11317
2337
31317
45517
518947
643097
done50017
088
1116
2136
done136
088
1116
2136
done136
088
1138
2228
3328
4428
5588
6778
7938
8988
done988
077
1137
2207
3287
4377
5497
6687
7947
81047
done1047
066
1126
2226
3346
4476
5586
6746
7936
81096
91146
done1146
066
196
2116
done116
01117
12617
211411
352411
418849
done50009
0917
12817
21309
36697
421907
540577
done50007
0713
11013
21213
done1213
066
196
2116
done116
0717
11717
2657
33217
412057
527187
645137
done50007
066
196
2116
done116
066
196
2116
done116
022
done22
044
194
2114
done114
057
177
297
3107
done107
044
done44
044
done44
044
done44
033
153
done53
033
done33
055
1105
2125
done125
055
185
2125
3155
4165
done165
033
done33
066
196
2136
3166
4176
done176
066
196
2136
3166
4176
done176
055
185
2125
3155
4165
done165
01723
14623
212723
342719
4162617
5480117
done500017
01929
15729
222929
3115525
done500125
01927
15627
218627
364025
4296023
done500023
01517
13017
25915
38215
410313
514413
623613
735913
844713
947113
1053313
1161113
1261213
done61213
0911
1199
2349
3449
4559
5749
61069
71539
81909
92169
102559
112769
done2769
0911
1199
2349
3449
4559
5749
61069
71539
81909
92169
102559
112769
done2769
033
done33
033
done33
033
done33
033
done33
033
done33
033
done33

prune266.0ms

Filtered
86 candidates to 101 candidates (-17.4%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1010101
Fresh022
Picked011
Done000
Total1013104

Merged error: 0.0b

Counts
104 → 3

localize33.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 2.0 (* t 3.0))
1.1b
(- (* z (sqrt (+ t a))) (* (* t (- b c)) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
3.1b
(* (* t (- b c)) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))
20.1b
(/ (* (+ (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))) (- (* z (sqrt (+ t a))) (* (* t (- b c)) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))) (+ (/ 2.0 3.0) (* t (+ a (/ 5.0 6.0)))))

rewrite150.0ms

Algorithm
rewrite-expression-head
Rules
382×associate-*r/
246×frac-sub
224×frac-times
187×flip3-+ flip-+
168×sqrt-div
154×associate-/l/
110×flip3-- flip--
64×frac-add
30×associate-*l/
19×add-exp-log add-cbrt-cube
14×*-un-lft-identity
11×add-sqr-sqrt
pow1 add-cube-cbrt
distribute-rgt-in distribute-lft-in times-frac associate-*r* associate--r+ add-log-exp
sub-neg prod-exp cbrt-unprod
cbrt-undiv div-exp associate--l+ associate-/r* associate-/r/ associate-/l*
pow-prod-down
frac-2neg clear-num div-inv distribute-lft-out--
diff-log associate-*l* *-commutative distribute-lft-out difference-of-squares
Counts
4 → 287
Calls
4 calls:
6.0ms
(/ 2.0 (* t 3.0))
15.0ms
(- (* z (sqrt (+ t a))) (* (* t (- b c)) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
22.0ms
(* (* t (- b c)) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))
57.0ms
(/ (* (+ (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))) (- (* z (sqrt (+ t a))) (* (* t (- b c)) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))) (+ (/ 2.0 3.0) (* t (+ a (/ 5.0 6.0)))))

series238.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(/ 2.0 (* t 3.0))
61.0ms
(- (* z (sqrt (+ t a))) (* (* t (- b c)) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
26.0ms
(* (* t (- b c)) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))
148.0ms
(/ (* (+ (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))) (- (* z (sqrt (+ t a))) (* (* t (- b c)) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))) (+ (/ 2.0 3.0) (* t (+ a (/ 5.0 6.0)))))

simplify9.2min

Counts
299 → 299
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03051
16451
214651
343451
4153851
done500051
02950
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358650
4292350
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02849
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02849
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033146
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244454
3249254
done500054
031146
191146
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02999
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029146
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02437
15037
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01212
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38712
411612
514012
617212
723912
832312
932812
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01737
13437
25037
35837
46037
56137
done6137
02637
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344937
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01624
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02637
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01313
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19962
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done500086
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02992
18580
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02656
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035122
111498
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03172
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03358
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02858
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done500044
02640
16238
217138
376838
4407438
done500038
03362
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228756
3199156
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02464
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16148
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02638
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384136
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02986
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01947
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14253
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3134119
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14927
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359927
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01515
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10388211
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1137
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315911
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8142911
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01831
13431
26731
312231
418431
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629731
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01718
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25718
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1155
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315219
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04479
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03985
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3129275
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done37222
03957
110353
229653
3103253
done500053
01624
13820
28220
312120
415220
517520
619220
721520
825820
932020
1032120
done32120
03549
18747
223947
390247
done500043
01216
12814
24414
35714
47714
59814
611514
713814
818114
924314
1024414
done24414
04493
112483
239383
3205283
done500083
02438
15732
217232
386432
4499732
done500032
04071
110469
234269
3183763
done500063
02026
14124
212924
365524
4283924
done500024
04389
112781
249981
3302781
done500081
02652
16844
227344
3155044
done500144
03973
110871
239871
3223371
done500171
02228
14826
216826
380626
4304926
done500026
04085
110877
235077
3174577
done500177
02030
14726
214226
360426
4284626
done500026
03563
18463
229263
3151857
done500157
01618
13118
29918
340518
4134118
5315518
done500018
03981
111175
244475
3252475
done500175
02244
15838
223138
3109138
done500038
03465
18865
233665
3179865
done500165
01820
13820
212620
342720
4108220
5240220
6398920
7440520
8448620
9449720
10450320
done450320
03677
19869
229769
3128269
done500067
01626
13922
210222
331322
4101122
5281422
done500122
03155
17455
223955
3106449
done500047
01214
12314
25914
314314
430314
553714
688114
7126314
8148214
9157514
10157714
done157714
03573
110167
238267
3187867
done500167
01840
15034
216534
362334
4202834
done500034
03057
17857
227457
3122457
done500245
01416
13016
26016
310116
413216
514816
614916
done14916
03549
18847
227247
3100147
done500047
01216
12814
25814
38614
49514
59714
done9714
03041
16841
220841
387341
done500037
088
1188
2208
done208
02428
16128
221228
3121028
done500028
02574
16656
224850
3142850
done500150
01718
13518
211818
347818
4184617
done500117
02349
15849
220143
3116143
done500243
02124
13824
28824
328124
486924
5266024
done500024
01618
13318
28718
327218
471918
5159218
6272818
7455818
done500118
01214
12214
24614
310714
421414
530414
636814
738214
845914
958514
1060014
done60014
01618
13318
28718
327218
471918
5159218
6272818
7455818
done500118
01618
12718
26518
320218
456118
5130818
6264218
7407018
done500118
01214
12214
25214
312914
424214
531514
639214
744514
854114
967414
done67414
01618
12718
26518
320218
456118
5130818
6264218
7407018
done500118
01718
13518
211818
347818
4184617
done500117
088
1138
2228
3328
4428
5588
6778
7938
8988
done988
077
1137
2207
3287
4377
5497
6687
7947
81047
done1047
066
1126
2226
3346
4476
5586
6746
7936
81096
91146
done1146
066
196
2116
done116
01117
12617
211411
352411
418849
done50009
0917
12817
21309
36697
421907
540577
done50007
0713
11013
21213
done1213
066
196
2116
done116
0717
11717
2657
33217
412057
527187
645137
done50007
066
196
2116
done116
066
196
2116
done116
022
done22
044
194
2114
done114
057
177
297
3107
done107
044
done44
044
done44
044
done44
033
153
done53
033
done33
055
1105
2125
done125
055
185
2125
3155
4165
done165
033
done33
066
196
2136
3166
4176
done176
066
196
2136
3166
4176
done176
055
185
2125
3155
4165
done165
01821
13821
28819
318519
433017
553017
6122317
7249217
8293217
9295617
10301817
11309617
12309717
done309717
0911
1199
2349
3449
4559
5749
61069
71539
81909
92169
102559
112769
done2769
0911
1199
2349
3449
4559
5749
61069
71539
81909
92169
102559
112769
done2769
011
done11
01217
13013
26913
315511
429111
538111
661711
789611
8111711
9112111
done112111
01217
13013
26913
315511
429111
538111
661711
789611
8111711
9112111
done112111
01415
12815
26115
39613
411013
512913
619913
743313
873213
974213
1077613
1179713
done79713
01217
13013
27513
313311
416911
521211
631611
751611
868011
977011
1090111
11109111
done109111
01217
13013
27513
313311
416911
521211
631611
751611
868011
977011
1090111
11109111
done109111
033
done33
033
done33
033
done33

prune2.9s

Filtered
279 candidates to 299 candidates (-7.2%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New2990299
Fresh011
Picked011
Done011
Total2993302

Merged error: 0.0b

Counts
302 → 3

regimes793.0ms

Accuracy

79.4% (2.0b remaining)

Error of 2.2b against oracle of 0.2b and baseline of 9.9b

bsearch326.0ms

Steps
ItersRangePoint
9
2.170133700301867e-05
2.259941168479486
0.0009378740394048153
12
-4.191742075493308e+146
-3.128194790276969e+98
-3.1815627170935436e+98

simplify7.0ms

Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
065142
187142
done87142

end0.0ms

sample3.0s

Algorithm
intervals
Results
846.0ms7795×body80nan
843.0ms8000×body80valid

Profiling

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