Details

Time bar (total: 10.1min)

sample77.0ms

Algorithm
intervals
Results
35.0ms121×body1280valid
14.0ms72×body640valid
8.0ms262×body80valid
4.0ms34×body320valid
2.0ms21×body160valid

simplify13.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
078
1148
2248
3308
4348
done348

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 58.0b

Counts
2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

5.1b
(- (exp x) (exp (neg x)))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt *-un-lft-identity add-log-exp
pow1 add-exp-log add-cube-cbrt sub-neg flip3-- diff-log add-cbrt-cube flip-- distribute-lft-out-- difference-of-squares
Counts
1 → 14
Calls
1 calls:
6.0ms
(- (exp x) (exp (neg x)))

series6.0ms

Counts
1 → 3
Calls
1 calls:
6.0ms
(- (exp x) (exp (neg x)))

simplify21.0s

Counts
17 → 17
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
078
1117
2157
3217
4237
5277
6317
7477
8517
9567
10637
11817
121027
131147
141197
done1197
067
1107
2167
done167
067
1137
2217
3237
4277
5317
6477
7537
8587
9657
10847
111057
121177
131227
done1227
0715
11115
21715
done1715
067
1107
2167
done167
0720
11220
2328
3838
42458
57928
632708
done50008
067
1107
2167
done167
067
1107
2167
done167
0810
12510
26310
314710
433410
58879
637889
done50009
0920
12415
25112
37111
412711
520011
635811
777711
8208311
done500011
044
174
2124
done124
0713
11811
23610
3759
41519
53099
67089
716769
done50009
056
186
2106
done106
078
1108
2128
done128
078
1118
2148
done148
056
196
2156
done156
044
174
2124
done124
01315
13115
26515
310915
420415
548615
6153515
done500015
056
196
2156
done156
067
1126
2206
3366
4706
51476
63786
712016
845236
done50006

prune45.0ms

Filtered
12 candidates to 17 candidates (-41.7%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New15217
Fresh000
Picked011
Done000
Total15318

Merged error: 0b

Counts
18 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))
0.0b
(+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5)))
0.0b
(* 1/60 (pow x 5))
0.1b
(* 1/3 (pow x 3))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
19×associate-*r*
14×add-exp-log
11×add-cube-cbrt *-un-lft-identity add-log-exp
unpow-prod-down add-cbrt-cube
unswap-sqr
associate-*l* prod-exp
pow1 cube-prod sum-log sqr-pow
+-commutative pow-to-exp flip3-+ pow-exp *-commutative cbrt-unprod flip-+
cube-mult associate-+r+ unpow3
Counts
4 → 80
Calls
4 calls:
8.0ms
(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))
6.0ms
(+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5)))
7.0ms
(* 1/60 (pow x 5))
7.0ms
(* 1/3 (pow x 3))

series34.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))
13.0ms
(+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5)))
9.0ms
(* 1/60 (pow x 5))
5.0ms
(* 1/3 (pow x 3))

simplify5.7min

Counts
92 → 92
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
077
197
done97
077
197
done97
077
1187
2307
3577
41117
52577
67367
728047
done50007
066
1186
2446
3926
41816
54346
613216
done50016
066
1176
2406
3945
42325
57015
627555
done50005
0917
1299
2877
33587
415977
done50007
0713
11613
23413
35813
410213
524413
676913
7306013
done500113
066
1156
2336
3566
41036
52416
67666
730676
done50006
0717
12715
21077
35117
424697
done50007
066
1156
2336
3566
41036
52416
67666
730676
done50006
066
1156
2336
3566
41036
52416
67666
730676
done50006
077
1167
2347
3527
41007
52467
67647
730537
done50007
077
1167
2347
3527
41007
52467
67647
730537
done50007
077
1167
2347
3527
41007
52467
67647
730537
done50007
077
1167
2347
3527
41007
52467
67647
730537
done50007
077
1167
2237
3337
4547
51147
63167
712517
done50007
077
1167
2237
3337
4547
51147
63167
712517
done50007
088
1146
2246
3446
4886
52306
67506
730516
done50006
088
1146
2246
3446
4886
52306
67506
730516
done50006
079
1189
2555
31115
41665
53205
68525
731905
done50005
066
1156
2336
3576
41016
52466
67756
730726
done50006
055
1161
2201
done201
045
175
295
done95
0711
1175
2255
3355
4565
51165
63255
712465
done50005
079
1189
2555
31115
41665
53205
68525
731905
done50005
066
1156
2336
3576
41016
52466
67756
730726
done50006
055
1161
2201
done201
033
143
done43
066
1156
2226
3326
4536
51146
63246
712596
done50006
033
161
done61
077
1135
2235
3415
4875
52275
67625
730595
done50015
066
1156
2336
3616
41076
52526
67856
730766
done50016
066
1156
2336
3616
41076
52526
67856
730766
done50016
055
1145
2325
3545
41015
52445
67735
730605
done50015
077
197
done97
077
197
done97
077
1157
2247
3427
4917
52417
67377
727527
done50007
066
1156
2306
3606
41446
54056
613016
749336
done50006
066
1146
2296
3636
41656
55436
624006
done50016
0917
1269
2627
31737
46567
528697
done50007
0713
11313
22313
34113
48913
522813
675813
7306513
done500113
066
1126
2226
3406
4856
52326
67616
730516
done50016
0717
12415
2747
32497
49627
540367
done50017
066
1126
2226
3406
4856
52326
67616
730516
done50016
066
1126
2226
3406
4856
52326
67616
730516
done50016
077
1137
2237
3417
4887
52337
67627
730597
done50007
077
1137
2237
3417
4887
52337
67627
730597
done50007
077
1137
2207
3307
4527
51167
63317
712687
done50017
077
1137
2207
3307
4527
51167
63317
712687
done50017
088
1146
2246
3446
4896
52336
67586
730556
done50016
088
1146
2246
3446
4896
52336
67586
730556
done50016
079
1139
2239
3419
4889
52339
67649
730689
done50019
066
1126
2226
3426
4886
52386
67696
730586
done50016
055
1131
done131
0711
11511
22311
33311
45511
511711
632611
7125511
done500111
066
1126
2196
3296
4516
51156
63286
712496
done50006
033
161
done61
077
1135
2235
3415
4885
52305
67625
730725
done50005
066
1126
2226
3426
4886
52386
67676
730586
done50006
066
1126
2226
3426
4886
52386
67676
730586
done50006
055
1115
2215
3395
4875
52305
67545
730515
done50015
01213
13312
27212
317312
448712
5194912
done500012
01112
12612
25412
39512
418512
547612
6151412
done500012
01112
12912
26612
314112
437212
5139412
done500112
01225
12725
25525
39525
418825
547625
6151825
done500025
01112
12612
25412
39512
418512
547612
6151412
done500012
01235
14035
213113
367013
4445313
done500013
01112
12612
25412
39512
418512
547612
6151412
done500012
01112
12612
25412
39512
418512
547612
6151412
done500012
01215
14515
213815
356115
4259415
done500115
01435
15627
220121
387121
4403221
done500021
01223
14719
215511
353611
4189911
done500011
01011
12611
26211
311311
426011
574711
6266711
done500011
01618
14217
29916
327616
4104316
done500116
01517
13816
29016
320916
461516
5325116
done500116
01416
13216
26616
311416
420916
550416
6156316
done500016
01416
13516
28116
317216
439816
5161316
done500016
01533
13333
26733
311333
421033
550333
6155033
done500133
01416
13216
26616
311416
420916
550416
6156316
done500016
01547
14647
216317
379517
done500117
01416
13216
26616
311416
420916
550416
6156316
done500016
01416
13216
26616
311416
420916
550416
6156316
done500016
01519
14419
212119
336519
4152219
done500119
01747
16133
220733
381433
4377833
done500133
01531
14829
213429
349229
4245029
done500029
01315
13215
26915
315815
440315
5112515
6444715
done500115
089
1189
2369
3609
41119
52569
67899
730939
done50009
055
1145
2325
3545
41015
52445
67735
730605
done50015
055
1145
2325
3545
41015
52445
67735
730605
done50015
055
1145
2325
3545
41015
52445
67735
730605
done50015
055
1115
2215
3395
4875
52305
67545
730515
done50015
055
1115
2215
3395
4875
52305
67545
730515
done50015
055
1115
2215
3395
4875
52305
67545
730515
done50015
01011
12511
25311
39511
418811
547911
6151211
done500111
01011
12511
25311
39511
418811
547911
6151211
done500111
01011
12511
25311
39511
418811
547911
6151211
done500111
01315
13115
26515
310915
420415
548615
6153515
done500015
01315
13115
26515
310915
420415
548615
6153515
done500015
01315
13115
26515
310915
420415
548615
6153515
done500015

prune179.0ms

Filtered
65 candidates to 92 candidates (-41.5%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New92092
Fresh011
Picked011
Done011
Total92395

Merged error: 0b

Counts
95 → 3

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (exp x) (exp (neg x)))
0.0b
(/ (- (exp (+ x x)) (exp (* -2 x))) (+ (exp x) (exp (neg x))))
5.1b
(- (exp (+ x x)) (exp (* -2 x)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
43×*-un-lft-identity
33×add-sqr-sqrt
24×times-frac
15×add-cube-cbrt
12×difference-of-squares
distribute-lft-out
add-log-exp
exp-sum associate-/l* distribute-lft-out--
add-exp-log add-cbrt-cube
associate-/r*
pow1
flip3-- flip3-+ associate-/r/ flip-- flip-+ associate-/l/
cbrt-undiv +-commutative sub-neg frac-2neg diff-log div-sub div-exp clear-num sum-log div-inv
Counts
3 → 78
Calls
3 calls:
5.0ms
(+ (exp x) (exp (neg x)))
17.0ms
(/ (- (exp (+ x x)) (exp (* -2 x))) (+ (exp x) (exp (neg x))))
9.0ms
(- (exp (+ x x)) (exp (* -2 x)))

series33.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(+ (exp x) (exp (neg x)))
22.0ms
(/ (- (exp (+ x x)) (exp (* -2 x))) (+ (exp x) (exp (neg x))))
6.0ms
(- (exp (+ x x)) (exp (* -2 x)))

simplify3.9min

Counts
87 → 87
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
0911
11810
22910
35510
413310
537310
6125010
done500010
0810
11710
22510
34310
49910
525110
669610
7274710
done500010
0810
12010
23210
35810
414110
539010
6134610
done500010
0921
11821
22621
34421
49721
523621
665621
7268721
done500021
0810
11710
22510
34310
49610
523810
666810
7270510
done500110
0929
11929
24111
311111
445211
5311711
done500011
0810
11710
22510
34310
49610
523810
666810
7270510
done500110
0810
11710
22510
34310
49610
523810
666810
7270510
done500110
01013
13113
27713
318811
45249
520239
done50009
01129
13123
27414
314911
431111
5116811
done500111
055
185
2145
3265
4625
51535
64165
714375
done50005
0919
12517
2579
31259
43309
512519
done50019
079
1159
2229
3349
4659
51369
63039
79099
836979
done50019
078
1118
2168
3268
4538
51127
62497
77607
826767
done50017
078
1128
2188
3288
4558
51127
62547
77687
826827
done50017
0911
11711
2259
3389
4719
51418
63108
79198
836858
done50008
0911
11811
2279
3409
4739
51438
63088
79088
837068
done50008
079
1169
2249
3429
4959
52379
66589
726839
done50019
055
185
2145
3265
4625
51535
64165
714375
done50005
01418
12718
23818
35618
411018
526018
670318
7258318
done500018
01317
13017
24617
37117
414117
536417
6111717
744499
done50009
01317
12717
24417
37017
414117
535817
6109317
745859
done50009
01650
14850
214220
341718
4222918
done500018
01435
12835
24235
36635
413335
534135
6104335
7426419
done500019
01317
12717
24117
36517
413217
534017
6104717
742789
done50019
01450
13550
27718
323418
496018
done500018
01317
12717
24117
36517
413217
534017
6104717
742789
done50019
01317
12717
24117
36517
413217
534017
6104717
742789
done50019
0810
11710
22810
35110
41169
53469
610699
746819
done50009
067
1127
2197
3207
done207
0811
11411
22111
32711
43811
56911
614711
734911
8111711
9442211
done500111
0911
11511
22211
33311
46511
515111
641011
7141711
done500011
01637
13337
25237
37637
412737
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01418
12518
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done500018
01529
12829
24029
35929
411029
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666029
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done500129
01418
12518
23518
35318
410418
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done500018
01123
12421
23821
36121
411321
525021
665721
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done500021
01317
12417
23417
35217
410317
524217
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7246117
done500017
01123
12421
23821
36121
411321
525021
665721
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done500021
01317
12417
23417
35217
410317
524217
665217
7246117
done500017
01526
12826
23826
35626
410726
524626
665126
7244926
done500026
01418
12518
23518
35318
410418
524318
664918
7245418
done500018
01418
12518
23518
35318
410418
524318
664918
7245418
done500018
01418
12518
23518
35318
410418
524318
664918
7245418
done500018
01012
12110
23110
34910
410110
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664110
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done500010
01317
12417
23417
35217
410317
524217
665217
7246117
done500017
01012
12110
23110
34910
410110
523710
664110
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12417
23417
35217
410317
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done500017
0917
11517
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01317
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413217
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6104617
7427017
done500117
089
1129
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01317
12717
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36517
413217
534017
6104617
7427017
done500117
023
141
done41
01216
12616
24016
36416
413116
533716
6103616
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done50008
023
141
done41
01216
12616
24016
36416
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533716
6103616
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done50008
01324
12224
22924
33924
46423
511923
626123
777723
8274623
done500023
01216
12316
23316
34516
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777215
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01216
11916
22616
33616
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626415
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8271815
done500015
01216
12316
23316
34516
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512515
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777215
8273915
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0910
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62527
77627
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done50007
01115
12215
23215
34415
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512414
626314
777014
8270614
done500014
0910
1158
2228
3328
4588
51137
62527
77627
826897
done50007
01115
12215
23215
34415
46914
512414
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777014
8270614
done500014
01627
12827
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35125
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631624
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01519
12919
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01519
12519
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34817
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done500016
01519
12919
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35717
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01113
12111
2319
3449
4769
51448
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831528
done50008
01418
12818
24116
35616
48715
515515
631515
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8314215
done500015
01113
12111
2319
3449
4769
51448
62998
78258
831528
done50008
01418
12818
24116
35616
48715
515515
631515
784015
8314215
done500015
0917
11517
done1517
01317
12717
24117
36517
413217
534017
6104617
7427017
done500117
089
1129
done129
01317
12717
24117
36517
413217
534017
6104617
7427017
done500117
023
141
done41
01216
12616
24016
36416
413116
533716
6103616
742668
done50008
023
141
done41
01216
12616
24016
36416
413116
533716
6103616
742668
done50008
078
1118
done118
01216
12316
23316
35116
410416
525316
66758
724858
done50008
01425
13025
25125
38925
419925
556925
6196925
done500025
01317
12717
24117
36517
413217
534017
6104617
7427017
done500117
0911
1239
2379
3649
41399
53859
613459
done50019
0911
1239
2379
3649
41399
53859
613459
done50019
01317
12417
23417
35217
410317
524417
665917
7247717
done500017
01317
12417
23417
35217
410317
524417
665917
7247717
done500017
01216
12316
23316
35116
410416
525316
66758
724858
done50008
01115
11915
22715
33715
46214
511714
626214
778314
8274814
done500114
01418
12518
23616
34916
48015
514815
630515
783615
8312915
done500015
01216
12316
23316
35116
410416
525316
66758
724858
done50008
01520
14020
27920
315320
432519
590119
6363119
done500119
01423
13321
27020
315619
450619
525021
done50001
01636
14530
213421
338318
4108718
done500018
01216
12916
26716
315116
433116
5133016
done500116
078
1127
2157
done157
067
197
2117
done117
067
1127
2157
done157
0715
11015
21215
done1215
067
197
2117
done117
0720
12320
2658
31818
46808
527328
done50008
067
197
2117
done117
067
197
2117
done117
0810
12410
24910
310010
419510
54079
613369
done50019
0920
12515
26012
39611
418311
533911
676111
7211911
done500011
0713
11811
23610
3759
41519
53099
67089
716769
done50009
056
196
2156
done156
056
186
2106
done106
01315
13215
26615
311415
420915
550315
6156215
done500015
089
1169
2269
3539
41259
53039
69329
744839
done50019
089
1169
2269
3539
41259
53039
69329
744839
done50019
01315
13115
26515
310915
420415
548615
6153515
done500015
01316
12716
24016
37416
416816
544616
6144416
done500016
01417
13016
24616
38816
421316
568416
6318016
done500016
0911
12211
25411
38111
410511
514311
622711
747611
8124611
9487911
done500011
056
186
2106
done106
067
1116
2186
3296
4536
51046
62326
76646
822866
done50016

prune110.0ms

Filtered
62 candidates to 87 candidates (-40.3%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New87087
Fresh000
Picked011
Done022
Total87390

Merged error: 0b

Counts
90 → 3

regimes97.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01517
12017
done2017

end0.0ms

sample2.3s

Algorithm
intervals
Results
1.0s3407×body1280valid
478.0ms2536×body640valid
269.0ms8071×body80valid
150.0ms1209×body320valid
45.0ms568×body160valid

Profiling

Loading profile data...