Details

Time bar (total: 29.8min)

sample264.0ms

Algorithm
intervals
Results
70.0ms130×body1280valid
42.0ms41×body1280nan
40.0ms50×body640valid
20.0ms31×body640nan
18.0ms114×body80overflowed
11.0ms87×body80valid
9.0ms32×body320valid
9.0ms185×body80nan
9.0ms21×body320nan
2.0ms11×body160valid
1.0msbody160nan

simplify2.2s

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0813
11713
23413
38113
420913
565613
6305713
done500013

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 31.3b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(pow (+ x 1.0) (/ 1.0 n))
0.0b
(pow x (/ 1.0 n))
2.2b
(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt
28×*-un-lft-identity
26×pow-unpow
19×add-cube-cbrt
18×times-frac
17×unpow-prod-down
difference-of-squares
sqr-pow
pow1 add-exp-log add-log-exp
add-cbrt-cube distribute-lft-out--
pow-to-exp pow-pow pow-exp div-inv distribute-lft-out
sub-neg flip3-- diff-log flip--
Counts
3 → 79
Calls
3 calls:
6.0ms
(pow (+ x 1.0) (/ 1.0 n))
4.0ms
(pow x (/ 1.0 n))
12.0ms
(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))

series98.0ms

Counts
3 → 9
Calls
3 calls:
20.0ms
(pow (+ x 1.0) (/ 1.0 n))
20.0ms
(pow x (/ 1.0 n))
57.0ms
(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))

simplify9.0min

Counts
88 → 88
Iterations

Useful iterations: 2 (2.0ms)

IterNodesCost
01015
11914
23814
39614
426714
589414
6435814
done500014
0914
11814
23514
38514
421614
567714
6311814
done500114
0914
12114
24414
310914
430414
5104114
done500114
01029
11929
23629
38329
421029
565429
6306029
done500029
0914
11814
23514
38214
420914
565514
6304414
done500014
01041
12041
25115
318815
4100615
done500015
0914
11814
23514
38214
420914
565514
6304414
done500014
0914
11814
23514
38214
420914
565514
6304414
done500014
01117
13217
29117
327917
4100517
5422717
done500017
01241
12929
27729
320329
461529
5261629
done500029
066
1106
2206
3526
41346
53846
615406
done50016
01027
12517
26117
316317
453917
5252617
done500017
0813
11613
22613
36013
414213
537113
6143013
done500013
01015
11815
22815
36215
414615
538015
6144215
done500015
01015
11915
23615
38315
421215
566215
6305915
done500115
01015
11815
22915
36315
414515
538115
6144515
done500115
01015
11915
23115
36515
414715
538215
6144115
done500015
01116
12016
23716
37716
418716
551516
6220216
done500016
01116
12116
24516
39816
425616
579416
6380816
done500016
01015
11815
22915
36315
414515
538115
6144815
done500115
01015
11915
23415
37515
418015
548715
6185115
done500015
01015
11815
23015
36415
414815
537715
6144715
done500015
01015
11915
23215
36615
414815
538115
6145015
done500115
01116
12016
23816
37816
418616
551016
6220216
done500116
01116
12116
24316
39016
422216
562516
6262516
done500016
01116
12016
23716
37716
418716
551516
6220516
done500016
01116
12116
24516
39816
425616
579216
6380916
done500016
01116
12016
23816
37816
418616
550716
6221216
done500016
01116
12116
24016
38016
419216
551516
6220216
done500016
01017
11917
23517
37317
418117
547817
6188617
done500017
01017
12017
24317
39417
424817
576817
6348917
done500017
0813
11713
23413
38113
420913
565613
6305713
done500013
0813
11713
23413
38113
420913
565613
6305713
done500013
0813
11713
23413
38113
420913
565613
6305713
done500013
066
1106
2206
3526
41346
53846
615406
done50016
066
196
2126
3166
4176
done176
066
196
2126
3166
4176
done176
055
1103
2203
3223
4253
5273
done273
0711
11111
21811
34211
49911
526311
689511
7335611
done500011
066
1106
2156
3336
4756
51826
65656
721956
done50006
0913
11913
24113
310613
432413
595813
6391113
done500013
0810
11410
22510
36310
417910
551510
6218410
done500110
079
1157
2327
3697
41527
53647
613477
748337
done50007
0810
11410
22310
35710
415110
541610
6181410
done500010
077
1117
2187
3437
41047
52767
611327
done50007
066
1124
2214
3394
4814
51774
66224
723484
done50004
079
1159
2249
3599
41439
54429
616849
done50019
066
1126
2196
3456
41026
52706
68206
725636
done50006
045
1113
2181
3241
4341
5561
61171
73261
812701
done50001
033
1101
2151
3211
4311
5551
61141
73241
812551
done50001
033
173
2123
3303
4723
51833
65683
719803
done50013
079
1119
2189
3439
41049
52769
611329
done50009
066
1106
2176
3426
41056
52726
611246
done50006
066
1106
2176
3426
41056
52726
611246
done50006
066
1106
2176
3426
41056
52726
611246
done50006
055
1111
2161
3271
4401
5631
6961
71401
81971
92631
103341
114171
125071
136101
147181
158351
169611
1710941
1812411
1913961
2015571
2117261
2219101
2321011
2423041
2525111
2627311
2729571
2831901
2934321
3037081
3139931
3242611
3345381
3448261
done50011
055
195
2165
3415
41025
52705
611225
done50005
066
1126
2246
3576
41516
54686
621766
done50006
066
1106
2196
3496
41276
53546
614556
done50016
0713
11113
21813
34313
410413
527413
6113513
done500013
066
1106
2176
3426
41036
52686
611286
done50006
0717
11413
2397
31017
42787
510827
done50007
066
1106
2186
3436
41046
52746
611336
done50006
066
1106
2186
3436
41046
52746
611336
done50006
077
1127
2257
3547
41377
53827
615867
done50017
077
1127
2257
3547
41377
53827
615867
done50017
078
1118
2148
3188
4198
done198
078
1118
2148
3188
4198
done198
055
1103
2203
3223
4253
5273
done273
0813
11313
22013
34413
410313
526213
687213
7326413
done500013
078
1128
2178
3358
4758
51848
65628
721858
done50008
01015
12115
24315
310815
432815
595915
6387115
done500015
0912
11612
22712
36512
418312
551812
6218012
done500012
0811
1179
2349
3719
41549
53759
613609
748069
done50009
0912
11612
22512
35912
415312
541612
6180412
done500012
089
1139
2209
3459
41069
52759
611289
done50009
078
1146
2236
3416
4836
51806
66216
723426
done50006
0911
11811
22711
36211
414611
544711
6168311
done500011
088
1158
2228
3488
41038
52728
68258
725398
done50008
067
1145
2213
3323
4563
51223
63383
712783
done50003
055
1133
2203
3313
4533
51173
63223
712623
done50003
045
195
2145
3325
4725
51765
65565
719695
done50015
0813
11313
22013
34513
410613
527513
6112813
done500013
078
1128
2198
3448
41058
52698
611248
done50008
078
1128
2198
3448
41058
52698
611248
done50008
078
1128
2198
3448
41058
52698
611248
done50008
055
1111
2161
3271
4401
5631
6961
71401
81971
92631
103341
114171
125071
136101
147181
158351
169611
1710941
1812411
1913961
2015571
2117261
2219101
2321011
2423041
2525111
2627311
2729571
2831901
2934321
3037081
3139931
3242611
3345381
3448261
done50011
067
1117
2187
3437
41047
52757
611327
done50007
055
1111
2161
3271
4401
5631
6961
71401
81971
92631
103341
114171
125071
136101
147181
158351
169611
1710941
1812411
1913961
2015571
2117261
2219101
2321011
2423041
2525111
2627311
2729571
2831901
2934321
3037081
3139931
3242611
3345381
3448261
done50011
067
1117
2187
3437
41047
52757
611327
done50007
078
1148
2268
3598
41538
54718
621938
done50008
078
1128
2218
3518
41298
53558
614558
done50008
0817
11317
22017
34517
410617
527617
6113117
done500017
078
1128
2198
3448
41078
52718
611298
done50008
0823
11617
2419
31019
42829
510819
done50009
078
1128
2208
3458
41068
52768
611298
done50018
078
1128
2208
3458
41068
52768
611298
done50018
089
1149
2279
3569
41399
53779
615929
done50019
089
1149
2279
3569
41399
53779
615929
done50019
01518
12917
25515
39115
418115
541311
6119111
done500111
02541
16937
219627
352823
4187321
done500121
03874
110067
227465
311247
443935
done50005
01010
1189
2357
3557
4947
51895
64405
715395
done50005
02855
17945
225927
381821
4211617
done500117
02955
17753
224253
396146
4390240
done500140
067
1117
2207
3347
4677
51495
63635
713965
done50005
01725
14123
29815
318014
432313
565512
6128712
7232812
8268612
9286512
10390212
done500112
01926
14425
29923
317921
432819
582016
6254512
done500012

prune214.0ms

Filtered
71 candidates to 88 candidates (-23.9%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New82688
Fresh000
Picked101
Done000
Total83689

Merged error: 19.7b

Counts
89 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(pow (+ x 1.0) (/ 1.0 n))
0.0b
(pow x (/ 1.0 n))
2.2b
(log (exp (- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))))
2.2b
(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
46×add-sqr-sqrt
38×*-un-lft-identity
27×unpow-prod-down
26×pow-unpow
22×add-cube-cbrt
18×times-frac difference-of-squares
16×log-pow
15×exp-prod
14×sqr-pow
pow1
add-exp-log distribute-lft-out-- add-log-exp
log-prod
add-cbrt-cube
distribute-lft-out
pow-to-exp sub-neg pow-pow exp-sum pow-exp div-inv
log-div flip3-- exp-diff diff-log rem-log-exp flip--
Counts
4 → 109
Calls
4 calls:
6.0ms
(pow (+ x 1.0) (/ 1.0 n))
4.0ms
(pow x (/ 1.0 n))
12.0ms
(log (exp (- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))))
11.0ms
(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))

series129.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(pow (+ x 1.0) (/ 1.0 n))
14.0ms
(pow x (/ 1.0 n))
50.0ms
(log (exp (- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))))
45.0ms
(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))

simplify12.4min

Counts
121 → 121
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01015
11914
23814
39614
426714
589414
6435814
done500014
0914
11814
23514
38514
421614
567714
6311814
done500114
0914
12114
24414
310914
430414
5104114
done500114
01029
11929
23629
38329
421029
565429
6306029
done500029
0914
11814
23514
38214
420914
565514
6304414
done500014
01041
12041
25115
318815
4100615
done500015
0914
11814
23514
38214
420914
565514
6304414
done500014
0914
11814
23514
38214
420914
565514
6304414
done500014
01117
13217
29117
327917
4100517
5422717
done500017
01241
12929
27729
320329
461529
5261629
done500029
066
1106
2206
3526
41346
53846
615406
done50016
01027
12517
26117
316317
453917
5252617
done500017
0813
11613
22613
36013
414213
537113
6143013
done500013
01015
11815
22815
36215
414615
538015
6144215
done500015
01015
11915
23615
38315
421215
566215
6305915
done500115
01015
11815
22915
36315
414515
538115
6144515
done500115
01015
11915
23115
36515
414715
538215
6144115
done500015
01116
12016
23716
37716
418716
551516
6220216
done500016
01116
12116
24516
39816
425616
579416
6380816
done500016
01015
11815
22915
36315
414515
538115
6144815
done500115
01015
11915
23415
37515
418015
548715
6185115
done500015
01015
11815
23015
36415
414815
537715
6144715
done500015
01015
11915
23215
36615
414815
538115
6145015
done500115
01116
12016
23816
37816
418616
551016
6220216
done500116
01116
12116
24316
39016
422216
562516
6262516
done500016
01116
12016
23716
37716
418716
551516
6220516
done500016
01116
12116
24516
39816
425616
579216
6380916
done500016
01116
12016
23816
37816
418616
550716
6221216
done500016
01116
12116
24016
38016
419216
551516
6220216
done500016
01017
11917
23517
37317
418117
547817
6188617
done500017
01017
12017
24317
39417
424817
576817
6348917
done500017
0813
11713
23413
38113
420913
565613
6305713
done500013
0813
11713
23413
38113
420913
565613
6305713
done500013
0813
11713
23413
38113
420913
565613
6305713
done500013
066
1106
2206
3526
41346
53846
615406
done50016
089
1137
2227
3547
41397
53897
616447
done50007
088
1156
2336
3766
42066
56326
624956
done50006
089
1137
2227
3547
41397
53897
616447
done50007
088
1156
2336
3766
42066
56326
624956
done50006
01232
12632
25018
311618
431218
5104618
done500118
01116
12316
24616
311116
431016
5104416
done500016
01116
12316
24616
311116
431016
5104616
done500016
01116
12316
24616
311116
431016
5104616
done500016
022
141
done41
01015
12213
24813
312113
433813
5120113
done500013
089
1137
2227
3547
41397
53897
616447
done50007
077
1115
2205
3525
41355
53895
616435
done50005
01015
12213
24813
312113
433813
5120113
done500013
01231
12329
24529
310029
425229
576229
6334629
done500029
01116
12014
23714
38414
421314
566014
6306414
done500014
033
161
done61
01217
12315
24115
39015
422815
568015
6294815
done500015
01217
12315
24015
38215
419215
552115
6204015
done500115
01318
12516
25016
310516
427116
581016
6368516
done500016
01217
12315
24015
38215
419015
552115
6204715
done500015
01217
12315
23915
37415
415615
539015
6144415
done500015
01318
12516
24916
39716
423316
565716
6280616
done500016
01318
12516
25016
310516
427116
580816
6367116
done500016
01318
12516
24916
39716
423316
565816
6281416
done500016
01219
12417
24817
310117
426317
578417
6337117
done500117
077
1131
2191
3301
4431
5661
6971
71401
81961
92631
103331
114161
125061
136071
147191
158371
169631
1711091
1812541
1914191
2015861
2117581
2219381
2321441
2423631
2525751
2627891
2730141
2832501
2935011
3037541
3140231
3242941
3345711
3448591
done50001
077
1131
2191
3301
4431
5661
6971
71401
81961
92631
103331
114161
125061
136071
147191
158371
169631
1711091
1812541
1914191
2015861
2117581
2219381
2321441
2423631
2525751
2627891
2730141
2832501
2935011
3037541
3140231
3242941
3345711
3448591
done50001
033
161
done61
01116
12314
24914
312514
434614
5121514
done500014
01116
12314
24914
312214
433914
5120214
done500014
01233
12429
25029
312329
434229
5119929
done500029
01116
12314
24914
312214
433914
5120214
done500014
01247
12541
26515
322815
4120815
done500115
01116
12314
24914
312214
433914
5120214
done500014
01116
12314
24914
312214
433914
5120214
done500014
066
196
2126
3166
4176
done176
066
196
2126
3166
4176
done176
055
1103
2203
3223
4253
5273
done273
0711
11111
21811
34211
49911
526311
689511
7335611
done500011
066
1106
2156
3336
4756
51826
65656
721956
done50006
0913
11913
24113
310613
432413
595813
6391113
done500013
0810
11410
22510
36310
417910
551510
6218410
done500110
079
1157
2327
3697
41527
53647
613477
748337
done50007
0810
11410
22310
35710
415110
541610
6181410
done500010
077
1117
2187
3437
41047
52767
611327
done50007
066
1124
2214
3394
4814
51774
66224
723484
done50004
079
1159
2249
3599
41439
54429
616849
done50019
066
1126
2196
3456
41026
52706
68206
725636
done50006
045
1113
2181
3241
4341
5561
61171
73261
812701
done50001
033
1101
2151
3211
4311
5551
61141
73241
812551
done50001
033
173
2123
3303
4723
51833
65683
719803
done50013
079
1119
2189
3439
41049
52769
611329
done50009
066
1106
2176
3426
41056
52726
611246
done50006
066
1106
2176
3426
41056
52726
611246
done50006
066
1106
2176
3426
41056
52726
611246
done50006
055
1111
2161
3271
4401
5631
6961
71401
81971
92631
103341
114171
125071
136101
147181
158351
169611
1710941
1812411
1913961
2015571
2117261
2219101
2321011
2423041
2525111
2627311
2729571
2831901
2934321
3037081
3139931
3242611
3345381
3448261
done50011
055
195
2165
3415
41025
52705
611225
done50005
066
1126
2246
3576
41516
54686
621766
done50006
066
1106
2196
3496
41276
53546
614556
done50016
0713
11113
21813
34313
410413
527413
6113513
done500013
066
1106
2176
3426
41036
52686
611286
done50006
0717
11413
2397
31017
42787
510827
done50007
066
1106
2186
3436
41046
52746
611336
done50006
066
1106
2186
3436
41046
52746
611336
done50006
077
1127
2257
3547
41377
53827
615867
done50017
077
1127
2257
3547
41377
53827
615867
done50017
078
1118
2148
3188
4198
done198
078
1118
2148
3188
4198
done198
055
1103
2203
3223
4253
5273
done273
0813
11313
22013
34413
410313
526213
687213
7326413
done500013
078
1128
2178
3358
4758
51848
65628
721858
done50008
01015
12115
24315
310815
432815
595915
6387115
done500015
0912
11612
22712
36512
418312
551812
6218012
done500012
0811
1179
2349
3719
41549
53759
613609
748069
done50009
0912
11612
22512
35912
415312
541612
6180412
done500012
089
1139
2209
3459
41069
52759
611289
done50009
078
1146
2236
3416
4836
51806
66216
723426
done50006
0911
11811
22711
36211
414611
544711
6168311
done500011
088
1158
2228
3488
41038
52728
68258
725398
done50008
067
1145
2213
3323
4563
51223
63383
712783
done50003
055
1133
2203
3313
4533
51173
63223
712623
done50003
045
195
2145
3325
4725
51765
65565
719695
done50015
0813
11313
22013
34513
410613
527513
6112813
done500013
078
1128
2198
3448
41058
52698
611248
done50008
078
1128
2198
3448
41058
52698
611248
done50008
078
1128
2198
3448
41058
52698
611248
done50008
055
1111
2161
3271
4401
5631
6961
71401
81971
92631
103341
114171
125071
136101
147181
158351
169611
1710941
1812411
1913961
2015571
2117261
2219101
2321011
2423041
2525111
2627311
2729571
2831901
2934321
3037081
3139931
3242611
3345381
3448261
done50011
067
1117
2187
3437
41047
52757
611327
done50007
055
1111
2161
3271
4401
5631
6961
71401
81971
92631
103341
114171
125071
136101
147181
158351
169611
1710941
1812411
1913961
2015571
2117261
2219101
2321011
2423041
2525111
2627311
2729571
2831901
2934321
3037081
3139931
3242611
3345381
3448261
done50011
067
1117
2187
3437
41047
52757
611327
done50007
078
1148
2268
3598
41538
54718
621938
done50008
078
1128
2218
3518
41298
53558
614558
done50008
0817
11317
22017
34517
410617
527617
6113117
done500017
078
1128
2198
3448
41078
52718
611298
done50008
0823
11617
2419
31019
42829
510819
done50009
078
1128
2208
3458
41068
52768
611298
done50018
078
1128
2208
3458
41068
52768
611298
done50018
089
1149
2279
3569
41399
53779
615929
done50019
089
1149
2279
3569
41399
53779
615929
done50019
01518
12917
25515
39115
418115
541311
6119111
done500111
02541
16937
219627
352823
4187321
done500121
03874
110067
227465
311247
443935
done50005
01518
12917
25515
39115
418115
541311
6119111
done500111
02541
16937
219627
352823
4187321
done500121
03874
110067
227465
311247
443935
done50005
01010
1189
2357
3557
4947
51895
64405
715395
done50005
02855
17945
225927
381821
4211617
done500117
02955
17753
224253
396146
4390240
done500140
067
1117
2207
3347
4677
51495
63635
713965
done50005
01725
14123
29815
318014
432313
565512
6128712
7232812
8268612
9286512
10390212
done500112
01926
14425
29923
317921
432819
582016
6254512
done500012

prune317.0ms

Filtered
95 candidates to 121 candidates (-27.4%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1192121
Fresh055
Picked101
Done000
Total1207127

Merged error: 19.7b

Counts
127 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

2.2b
(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
2.2b
(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
2.2b
(log (cbrt (exp (- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n))))))
2.2b
(log (cbrt (exp (- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n))))))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
32×add-sqr-sqrt
22×*-un-lft-identity
20×unpow-prod-down
18×difference-of-squares
16×log-prod
12×sqr-pow
10×cbrt-prod
add-cube-cbrt add-log-exp
pow1 add-exp-log distribute-lft-out--
sub-neg exp-sum log-pow add-cbrt-cube
log-div cbrt-div flip3-- exp-diff pow1/3 diff-log rem-log-exp flip-- distribute-lft-out
Counts
4 → 86
Calls
4 calls:
11.0ms
(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
11.0ms
(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
12.0ms
(log (cbrt (exp (- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n))))))
12.0ms
(log (cbrt (exp (- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n))))))

series305.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
49.0ms
(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
105.0ms
(log (cbrt (exp (- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n))))))
106.0ms
(log (cbrt (exp (- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n))))))

simplify4.6min

Counts
98 → 98
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
0910
11410
22310
35310
413110
535210
6144810
done500010
099
1169
2309
3709
41809
55369
620469
done50009
0910
11410
22310
35310
413110
535210
6144810
done500010
099
1169
2309
3709
41809
55369
620469
done50009
01333
12533
24833
311333
431133
5104033
done500033
01217
12417
24717
311217
430817
5104017
done500017
01217
12417
24717
311217
430817
5104217
done500017
01217
12417
24717
311217
430817
5104217
done500017
033
152
done52
01116
12316
24616
311116
431016
5104416
done500016
01334
12734
25119
311719
431319
5104519
done500119
01217
12417
24717
311217
430817
5104017
done500017
01217
12417
24717
311217
430817
5104017
done500017
01217
12417
24717
311217
430817
5104017
done500017
022
141
done41
01116
12316
24616
311116
431016
5104416
done500016
0910
11410
22310
35310
413110
535210
6144810
done500010
088
1128
2218
3518
41278
53568
614588
done50008
01015
12213
24813
312113
433813
5120113
done500013
01116
12316
24616
311116
431016
5104416
done500016
01217
12417
24717
311217
430817
5104017
done500017
01217
12415
24715
311215
430815
5104015
done500115
01335
12535
24835
311335
431135
5104035
done500035
01217
12417
24717
311217
430817
5104017
done500017
01350
12650
25118
312018
431918
5105318
done500018
01217
12417
24717
311217
430817
5104017
done500017
01217
12417
24717
311217
430817
5104017
done500017
0910
11410
22310
35310
413110
535210
6144810
done500010
099
1169
2309
3709
41809
55369
620469
done50009
0910
11410
22310
35310
413110
535210
6144810
done500010
099
1169
2309
3709
41809
55369
620469
done50009
01333
12533
24833
311333
431133
5104033
done500033
01217
12417
24717
311217
430817
5104017
done500017
01217
12417
24717
311217
430817
5104217
done500017
01217
12417
24717
311217
430817
5104217
done500017
033
152
done52
01116
12316
24616
311116
431016
5104416
done500016
01334
12734
25119
311719
431319
5104519
done500119
01217
12417
24717
311217
430817
5104017
done500017
01217
12417
24717
311217
430817
5104017
done500017
01217
12417
24717
311217
430817
5104017
done500017
022
141
done41
01116
12316
24616
311116
431016
5104416
done500016
0910
11410
22310
35310
413110
535210
6144810
done500010
088
1128
2218
3518
41278
53568
614588
done50008
01015
12213
24813
312113
433813
5120113
done500013
01116
12316
24616
311116
431016
5104416
done500016
01217
12417
24717
311217
430817
5104017
done500017
01217
12415
24715
311215
430815
5104015
done500115
01335
12535
24835
311335
431135
5104035
done500035
01217
12417
24717
311217
430817
5104017
done500017
01350
12650
25118
312018
431918
5105318
done500018
01217
12417
24717
311217
430817
5104017
done500017
01217
12417
24717
311217
430817
5104017
done500017
01015
11914
23814
39614
426714
589414
6435814
done500014
0914
11814
23514
38514
421614
567714
6311814
done500114
0914
12114
24414
310914
430414
5104114
done500114
01029
11929
23629
38329
421029
565429
6306029
done500029
0914
11814
23514
38214
420914
565514
6304414
done500014
01041
12041
25115
318815
4100615
done500015
0914
11814
23514
38214
420914
565514
6304414
done500014
0914
11814
23514
38214
420914
565514
6304414
done500014
01117
13217
29117
327917
4100517
5422717
done500017
01241
12929
27729
320329
461529
5261629
done500029
066
1106
2206
3526
41346
53846
615406
done50016
01027
12517
26117
316317
453917
5252617
done500017
0813
11613
22613
36013
414213
537113
6143013
done500013
01015
11815
22815
36215
414615
538015
6144215
done500015
01015
11915
23615
38315
421215
566215
6305915
done500115
01015
11815
22915
36315
414515
538115
6144515
done500115
01015
11915
23115
36515
414715
538215
6144115
done500015
01116
12016
23716
37716
418716
551516
6220216
done500016
01116
12116
24516
39816
425616
579416
6380816
done500016
01015
11815
22915
36315
414515
538115
6144815
done500115
01015
11915
23415
37515
418015
548715
6185115
done500015
01015
11815
23015
36415
414815
537715
6144715
done500015
01015
11915
23215
36615
414815
538115
6145015
done500115
01116
12016
23816
37816
418616
551016
6220216
done500116
01116
12116
24316
39016
422216
562516
6262516
done500016
01116
12016
23716
37716
418716
551516
6220516
done500016
01116
12116
24516
39816
425616
579216
6380916
done500016
01116
12016
23816
37816
418616
550716
6221216
done500016
01116
12116
24016
38016
419216
551516
6220216
done500016
01017
11917
23517
37317
418117
547817
6188617
done500017
01017
12017
24317
39417
424817
576817
6348917
done500017
0813
11713
23413
38113
420913
565613
6305713
done500013
0813
11713
23413
38113
420913
565613
6305713
done500013
0813
11713
23413
38113
420913
565613
6305713
done500013
066
1106
2206
3526
41346
53846
615406
done50016
01015
11914
23814
39614
426714
589414
6435814
done500014
0914
11814
23514
38514
421614
567714
6311814
done500114
0914
12114
24414
310914
430414
5104114
done500114
01029
11929
23629
38329
421029
565429
6306029
done500029
0914
11814
23514
38214
420914
565514
6304414
done500014
01041
12041
25115
318815
4100615
done500015
0914
11814
23514
38214
420914
565514
6304414
done500014
0914
11814
23514
38214
420914
565514
6304414
done500014
01117
13217
29117
327917
4100517
5422717
done500017
01241
12929
27729
320329
461529
5261629
done500029
066
1106
2206
3526
41346
53846
615406
done50016
01027
12517
26117
316317
453917
5252617
done500017
0813
11613
22613
36013
414213
537113
6143013
done500013
01015
11815
22815
36215
414615
538015
6144215
done500015
01015
11915
23615
38315
421215
566215
6305915
done500115
01015
11815
22915
36315
414515
538115
6144515
done500115
01015
11915
23115
36515
414715
538215
6144115
done500015
01116
12016
23716
37716
418716
551516
6220216
done500016
01116
12116
24516
39816
425616
579416
6380816
done500016
01015
11815
22915
36315
414515
538115
6144815
done500115
01015
11915
23415
37515
418015
548715
6185115
done500015
01015
11815
23015
36415
414815
537715
6144715
done500015
01015
11915
23215
36615
414815
538115
6145015
done500115
01116
12016
23816
37816
418616
551016
6220216
done500116
01116
12116
24316
39016
422216
562516
6262516
done500016
01116
12016
23716
37716
418716
551516
6220516
done500016
01116
12116
24516
39816
425616
579216
6380916
done500016
01116
12016
23816
37816
418616
550716
6221216
done500016
01116
12116
24016
38016
419216
551516
6220216
done500016
01017
11917
23517
37317
418117
547817
6188617
done500017
01017
12017
24317
39417
424817
576817
6348917
done500017
0813
11713
23413
38113
420913
565613
6305713
done500013
0813
11713
23413
38113
420913
565613
6305713
done500013
0813
11713
23413
38113
420913
565613
6305713
done500013
066
1106
2206
3526
41346
53846
615406
done50016
01720
13219
26417
310917
423417
559913
6195313
done500113
01822
14719
210613
324913
476613
5281511
done500111
03874
110067
227465
311247
443935
done50005
01720
13219
26417
310917
423417
559913
6195313
done500113
01822
14719
210613
324913
476613
5281511
done500111
03874
110067
227465
311247
443935
done50005
01518
12917
25515
39115
418115
541311
6119111
done500111
02541
16937
219627
352823
4187321
done500121
03874
110067
227465
311247
443935
done50005
01518
12917
25515
39115
418115
541311
6119111
done500111
02541
16937
219627
352823
4187321
done500121
03874
110067
227465
311247
443935
done50005

prune477.0ms

Filtered
82 candidates to 98 candidates (-19.5%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New95398
Fresh156
Picked101
Done000
Total978105

Merged error: 19.6b

Counts
105 → 8

localize19.0ms

Local error

Found 4 expressions with local error:

2.2b
(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
2.2b
(log (cbrt (exp (- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n))))))
2.2b
(log (cbrt (exp (- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n))))))
2.2b
(log (cbrt (exp (- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n))))))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
24×log-prod
22×add-sqr-sqrt
17×*-un-lft-identity
15×cbrt-prod
10×add-cube-cbrt unpow-prod-down
difference-of-squares
pow1 add-exp-log
exp-sum log-pow add-log-exp sqr-pow
sub-neg add-cbrt-cube
log-div cbrt-div exp-diff pow1/3 rem-log-exp distribute-lft-out--
flip3-- diff-log flip-- distribute-lft-out
Counts
4 → 81
Calls
4 calls:
11.0ms
(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
12.0ms
(log (cbrt (exp (- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n))))))
15.0ms
(log (cbrt (exp (- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n))))))
11.0ms
(log (cbrt (exp (- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n))))))

series359.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
108.0ms
(log (cbrt (exp (- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n))))))
102.0ms
(log (cbrt (exp (- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n))))))
104.0ms
(log (cbrt (exp (- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n))))))

simplify3.6min

Counts
93 → 93
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
0910
11410
22310
35310
413110
535210
6144810
done500010
099
1169
2309
3709
41809
55369
620469
done50009
0910
11410
22310
35310
413110
535210
6144810
done500010
099
1169
2309
3709
41809
55369
620469
done50009
01333
12533
24833
311333
431133
5104033
done500033
01217
12417
24717
311217
430817
5104017
done500017
01217
12417
24717
311217
430817
5104217
done500017
01217
12417
24717
311217
430817
5104217
done500017
033
152
done52
01116
12316
24616
311116
431016
5104416
done500016
01334
12734
25119
311719
431319
5104519
done500119
01217
12417
24717
311217
430817
5104017
done500017
01217
12417
24717
311217
430817
5104017
done500017
01217
12417
24717
311217
430817
5104017
done500017
022
141
done41
01116
12316
24616
311116
431016
5104416
done500016
0910
11410
22310
35310
413110
535210
6144810
done500010
088
1128
2218
3518
41278
53568
614588
done50008
01015
12213
24813
312113
433813
5120113
done500013
01116
12316
24616
311116
431016
5104416
done500016
01217
12417
24717
311217
430817
5104017
done500017
01217
12415
24715
311215
430815
5104015
done500115
01335
12535
24835
311335
431135
5104035
done500035
01217
12417
24717
311217
430817
5104017
done500017
01350
12650
25118
312018
431918
5105318
done500018
01217
12417
24717
311217
430817
5104017
done500017
01217
12417
24717
311217
430817
5104017
done500017
0910
11410
22310
35310
413110
535210
6144810
done500010
099
1169
2309
3709
41809
55369
620469
done50009
0910
11410
22310
35310
413110
535210
6144810
done500010
099
1169
2309
3709
41809
55369
620469
done50009
01333
12533
24833
311333
431133
5104033
done500033
01217
12417
24717
311217
430817
5104017
done500017
01217
12417
24717
311217
430817
5104217
done500017
01217
12417
24717
311217
430817
5104217
done500017
033
152
done52
01116
12316
24616
311116
431016
5104416
done500016
01334
12734
25119
311719
431319
5104519
done500119
01217
12417
24717
311217
430817
5104017
done500017
01217
12417
24717
311217
430817
5104017
done500017
01217
12417
24717
311217
430817
5104017
done500017
022
141
done41
01116
12316
24616
311116
431016
5104416
done500016
0910
11410
22310
35310
413110
535210
6144810
done500010
088
1128
2218
3518
41278
53568
614588
done50008
01015
12213
24813
312113
433813
5120113
done500013
01116
12316
24616
311116
431016
5104416
done500016
01217
12417
24717
311217
430817
5104017
done500017
01217
12415
24715
311215
430815
5104015
done500115
01335
12535
24835
311335
431135
5104035
done500035
01217
12417
24717
311217
430817
5104017
done500017
01350
12650
25118
312018
431918
5105318
done500018
01217
12417
24717
311217
430817
5104017
done500017
01217
12417
24717
311217
430817
5104017
done500017
0910
11410
22310
35310
413110
535210
6144810
done500010
099
1169
2309
3709
41809
55369
620469
done50009
0910
11410
22310
35310
413110
535210
6144810
done500010
099
1169
2309
3709
41809
55369
620469
done50009
01333
12533
24833
311333
431133
5104033
done500033
01217
12417
24717
311217
430817
5104017
done500017
01217
12417
24717
311217
430817
5104217
done500017
01217
12417
24717
311217
430817
5104217
done500017
033
152
done52
01116
12316
24616
311116
431016
5104416
done500016
01334
12734
25119
311719
431319
5104519
done500119
01217
12417
24717
311217
430817
5104017
done500017
01217
12417
24717
311217
430817
5104017
done500017
01217
12417
24717
311217
430817
5104017
done500017
022
141
done41
01116
12316
24616
311116
431016
5104416
done500016
0910
11410
22310
35310
413110
535210
6144810
done500010
088
1128
2218
3518
41278
53568
614588
done50008
01015
12213
24813
312113
433813
5120113
done500013
01116
12316
24616
311116
431016
5104416
done500016
01217
12417
24717
311217
430817
5104017
done500017
01217
12415
24715
311215
430815
5104015
done500115
01335
12535
24835
311335
431135
5104035
done500035
01217
12417
24717
311217
430817
5104017
done500017
01350
12650
25118
312018
431918
5105318
done500018
01217
12417
24717
311217
430817
5104017
done500017
01217
12417
24717
311217
430817
5104017
done500017
01015
11914
23814
39614
426714
589414
6435814
done500014
0914
11814
23514
38514
421614
567714
6311814
done500114
0914
12114
24414
310914
430414
5104114
done500114
01029
11929
23629
38329
421029
565429
6306029
done500029
0914
11814
23514
38214
420914
565514
6304414
done500014
01041
12041
25115
318815
4100615
done500015
0914
11814
23514
38214
420914
565514
6304414
done500014
0914
11814
23514
38214
420914
565514
6304414
done500014
01117
13217
29117
327917
4100517
5422717
done500017
01241
12929
27729
320329
461529
5261629
done500029
066
1106
2206
3526
41346
53846
615406
done50016
01027
12517
26117
316317
453917
5252617
done500017
0813
11613
22613
36013
414213
537113
6143013
done500013
01015
11815
22815
36215
414615
538015
6144215
done500015
01015
11915
23615
38315
421215
566215
6305915
done500115
01015
11815
22915
36315
414515
538115
6144515
done500115
01015
11915
23115
36515
414715
538215
6144115
done500015
01116
12016
23716
37716
418716
551516
6220216
done500016
01116
12116
24516
39816
425616
579416
6380816
done500016
01015
11815
22915
36315
414515
538115
6144815
done500115
01015
11915
23415
37515
418015
548715
6185115
done500015
01015
11815
23015
36415
414815
537715
6144715
done500015
01015
11915
23215
36615
414815
538115
6145015
done500115
01116
12016
23816
37816
418616
551016
6220216
done500116
01116
12116
24316
39016
422216
562516
6262516
done500016
01116
12016
23716
37716
418716
551516
6220516
done500016
01116
12116
24516
39816
425616
579216
6380916
done500016
01116
12016
23816
37816
418616
550716
6221216
done500016
01116
12116
24016
38016
419216
551516
6220216
done500016
01017
11917
23517
37317
418117
547817
6188617
done500017
01017
12017
24317
39417
424817
576817
6348917
done500017
0813
11713
23413
38113
420913
565613
6305713
done500013
0813
11713
23413
38113
420913
565613
6305713
done500013
0813
11713
23413
38113
420913
565613
6305713
done500013
066
1106
2206
3526
41346
53846
615406
done50016
01720
13219
26417
310917
423417
559913
6195313
done500113
01822
14719
210613
324913
476613
5281511
done500111
03874
110067
227465
311247
443935
done50005
01720
13219
26417
310917
423417
559913
6195313
done500113
01822
14719
210613
324913
476613
5281511
done500111
03874
110067
227465
311247
443935
done50005
01720
13219
26417
310917
423417
559913
6195313
done500113
01822
14719
210613
324913
476613
5281511
done500111
03874
110067
227465
311247
443935
done50005
01518
12917
25515
39115
418115
541311
6119111
done500111
02541
16937
219627
352823
4187321
done500121
03874
110067
227465
311247
443935
done50005

prune592.0ms

Filtered
77 candidates to 93 candidates (-20.8%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New93093
Fresh077
Picked011
Done000
Total938101

Merged error: 19.6b

Counts
101 → 8

regimes389.0ms

Accuracy

86.6% (1.5b remaining)

Error of 23.6b against oracle of 22.1b and baseline of 33.3b

bsearch2.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
030102
135102
done35102

end0.0ms

sample7.6s

Algorithm
intervals
Results
2.1s3896×body1280valid
1.2s1096×body1280nan
930.0ms1822×body640valid
637.0ms4128×body80overflowed
602.0ms888×body640nan
333.0ms3163×body80valid
325.0ms6431×body80nan
279.0ms871×body320valid
193.0ms440×body320nan
88.0ms441×body160valid
54.0ms218×body160nan

Profiling

Loading profile data...