Details

Time bar (total: 3.1min)

sample39.0ms

Algorithm
intervals
Results
17.0ms90×body1280valid
6.0ms46×body640valid
4.0ms160×body80valid
2.0ms22×body320valid
1.0ms16×body160valid

simplify6.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
056
1106
2136
3156
done156

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 41.7b

Counts
2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- (exp x) 1.0) x)
3.8b
(- (exp x) 1.0)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt *-un-lft-identity
15×times-frac
12×add-cube-cbrt
associate-/l* distribute-lft-out-- difference-of-squares
add-exp-log add-cbrt-cube add-log-exp
associate-/r*
pow1 flip3-- flip-- associate-/l/
cbrt-undiv sub-neg frac-2neg diff-log div-sub div-exp clear-num div-inv
Counts
2 → 52
Calls
2 calls:
8.0ms
(/ (- (exp x) 1.0) x)
5.0ms
(- (exp x) 1.0)

series7.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(/ (- (exp x) 1.0) x)
3.0ms
(- (exp x) 1.0)

simplify32.8s

Counts
58 → 58
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
066
185
2105
3135
4165
5225
6265
7425
8465
9515
10585
11765
12975
131155
141185
done1185
055
175
285
done85
055
1105
2135
3165
4225
5265
6425
7465
8515
9585
10775
11985
121115
131145
done1145
0611
1811
2911
done911
055
175
285
done85
0614
1914
2246
3676
41786
55076
617246
749836
done50006
055
175
285
done85
055
175
285
done85
078
1228
2468
3858
41768
55218
623128
done50018
0814
11711
22711
33111
43611
54511
67011
712911
826611
971511
10241911
done500011
022
done22
069
1138
2228
3408
4698
51228
62118
74708
821088
done50018
044
154
done54
066
176
done76
066
186
296
done96
044
164
274
done74
022
done22
078
1118
2138
done138
067
1147
2197
3227
done227
067
1117
2177
3217
4247
5307
6347
7507
8547
9617
10707
11907
121167
131377
141447
151507
done1507
0920
12020
26810
32038
45648
520418
done50008
0715
11215
21515
31715
done1715
067
1117
2147
3167
done167
0720
11920
2508
31768
45718
517228
done50008
067
1117
2147
3167
done167
067
1117
2147
3167
done167
055
175
2115
3135
4144
done144
022
done22
034
done34
033
done33
0917
11717
22717
33317
done3317
078
198
2108
done108
0814
11214
21514
31614
done1614
078
198
2108
done108
0813
11411
22111
32611
done2611
067
187
297
done97
0811
11211
21311
done1311
078
198
2108
done108
078
198
2108
done108
078
198
2108
done108
077
1115
2145
done145
067
187
297
done97
057
197
done97
067
1117
2147
3167
done167
044
164
done64
067
1117
2147
3167
done167
023
141
done41
056
1106
2136
3156
done156
0912
11212
done1212
089
1139
2169
3189
done189
089
199
done99
089
1139
2169
3189
done189
088
1116
2136
done136
078
1128
2158
3178
done178
057
197
done97
067
1117
2147
3167
done167
044
164
done64
067
1117
2147
3167
done167
023
141
done41
056
1106
2136
3156
done156
033
153
done53
056
176
286
done86
0710
11410
22210
32710
43010
done3010
067
1117
2147
3167
done167
066
1134
2184
done184
067
187
297
done97
067
187
297
done97
056
176
286
done86
078
198
2108
done108
056
176
286
done86
0916
12513
25613
38513
410013
511513
615213
725213
854013
9146913
done500113
056
1136
2146
done146
01113
12813
27313
310811
418111
535411
689511
7325011
done500011
044
164
274
done74
044
164
274
done74
01011
12211
24111
3649
41119
52529
67899
731409
done50009
056
1106
2136
3156
done156
078
1167
2307
3547
4866
51466
62016
72226
82646
93706
104256
114326
done4326

prune81.0ms

Filtered
43 candidates to 58 candidates (-34.9%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New55358
Fresh000
Picked101
Done000
Total56359

Merged error: 0.0b

Counts
59 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ 1 (* x (+ (* x 1/6) 1/2)))
0.0b
(* x (+ (* x 1/6) 1/2))
0.3b
(* x 1/6)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
associate-*r* associate-*l*
add-log-exp
distribute-rgt-in associate-+r+ distribute-lft-in flip3-+ associate-*r/ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ unswap-sqr
+-commutative sum-log
Counts
3 → 53
Calls
3 calls:
3.0ms
(+ 1 (* x (+ (* x 1/6) 1/2)))
7.0ms
(* x (+ (* x 1/6) 1/2))
4.0ms
(* x 1/6)

series12.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(+ 1 (* x (+ (* x 1/6) 1/2)))
7.0ms
(* x (+ (* x 1/6) 1/2))
2.0ms
(* x 1/6)

simplify1.2min

Counts
62 → 62
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
033
143
done43
055
165
done65
044
184
294
done94
044
174
2144
3234
4384
5784
61774
75004
817834
done50004
0711
1167
2325
3575
4965
51455
62825
77135
822525
done50015
059
169
done69
044
154
done54
0511
1179
2445
3925
41045
51285
61985
74085
810915
937395
done50005
044
154
done54
044
154
done54
055
165
done65
055
165
done65
057
187
2107
done107
044
154
done54
033
161
done61
044
154
done54
044
154
done54
033
143
done43
067
1157
2197
done197
089
1119
done119
078
1198
2248
done248
078
1188
2318
3528
4978
52578
67218
725248
done50008
01023
13123
212711
350411
418189
done50009
0817
11717
22117
done2117
078
1168
2208
done208
0823
12723
21019
33879
410229
529819
done50009
078
1168
2208
done208
078
1168
2208
done208
089
1119
done119
089
1119
done119
045
185
295
done95
033
143
done43
045
165
295
done95
033
143
done43
0815
11315
21515
done1515
078
1108
done108
033
161
done61
078
1168
2258
3278
done278
078
1168
2258
3278
done278
067
1157
2197
done197
0911
1379
2849
31849
43119
56899
621729
done50009
0813
1249
2509
3959
41959
53229
64559
77079
819239
done50019
01011
12710
24310
38010
414910
539410
6124410
done500010
0910
12110
22910
33310
done3310
0910
12410
24110
37310
411910
531710
6107010
7452210
done500010
01021
12221
23021
33421
done3421
0910
12110
22910
33310
done3310
01029
13529
210311
352711
4395711
done500111
0910
12110
22910
33310
done3310
0910
12110
22910
33310
done3310
01113
13911
29111
334311
4103011
5295811
done500011
01229
14019
216119
355319
4150719
5390919
done500119
01019
13317
29817
333217
4100517
5305117
done500017
089
1219
2379
3699
4949
51109
61449
71909
82299
92349
102419
done2419
067
1137
2147
done147
067
1117
2147
done147
033
143
done43
033
143
done43
033
143
done43
089
1169
2319
3369
4467
5587
6807
71447
83607
912797
done50007
089
1169
2319
3369
4467
5587
6807
71447
83607
912797
done50007
089
1169
2319
3369
4467
5587
6807
71447
83607
912797
done50007
01011
12211
24111
3649
41119
52529
67899
731409
done50009
01011
12211
24111
3649
41119
52529
67899
731409
done50009
01011
12211
24111
3649
41119
52529
67899
731409
done50009

prune76.0ms

Filtered
46 candidates to 62 candidates (-34.8%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New62062
Fresh022
Picked011
Done000
Total62365

Merged error: 0.0b

Counts
65 → 3

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (exp x) x)
3.2b
(- (/ (exp x) x) (/ 1.0 x))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
20×*-un-lft-identity
19×times-frac
12×add-cube-cbrt
add-cbrt-cube distribute-lft-out-- add-log-exp difference-of-squares
add-exp-log associate-/r* div-inv associate-/l*
pow1
cbrt-undiv sub-neg flip3-- distribute-rgt-out-- frac-2neg diff-log div-exp clear-num frac-sub flip-- sub-div
Counts
2 → 50
Calls
2 calls:
5.0ms
(/ (exp x) x)
16.0ms
(- (/ (exp x) x) (/ 1.0 x))

series9.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(/ (exp x) x)
5.0ms
(- (/ (exp x) x) (/ 1.0 x))

simplify22.9s

Counts
56 → 56
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
0810
1109
2129
3179
4209
5269
6309
7469
8509
9579
10669
11869
121079
131219
141269
151289
done1289
079
199
2129
done129
079
1129
2179
3209
4269
5309
6469
7509
8579
9669
10869
111079
121219
131269
141289
done1289
0819
11019
21319
done1319
079
199
2129
done129
0826
11126
22810
38710
429210
598610
6323910
done500010
079
199
2129
done129
079
199
2129
done129
044
164
274
done74
068
1108
2196
3236
4246
done246
023
done23
0912
12912
28412
324212
478112
5261812
done500012
01026
12922
25722
38721
411819
514419
617119
720319
826219
945519
10111019
11365819
done500019
044
164
done64
0817
12117
24217
38416
415316
525416
635916
760515
8222815
done500115
068
178
done78
0810
1910
done910
0810
11010
21110
done1110
0911
11011
done1011
0911
11111
21411
done1411
0911
11011
done1011
0911
11111
21211
done1211
0912
11012
done1012
0912
11112
21412
done1412
0710
1910
21210
done1210
0710
1910
21210
done1210
068
188
2118
done118
068
188
2118
done118
044
164
274
done74
044
164
done64
034
154
264
done64
045
175
294
3104
done104
045
done45
0714
11813
2568
31286
42156
53956
612856
done50006
0511
done511
045
done45
0514
11214
2286
3686
41366
52056
63406
79146
844116
done50006
045
done45
045
done45
033
done33
022
done22
0713
11313
22213
32813
done2813
056
done56
0610
1810
21010
31110
done1110
056
done56
069
1107
2167
3217
done217
045
done45
069
189
done89
056
done56
056
done56
056
done56
055
173
293
done93
045
done45
057
197
done97
045
done45
044
164
done64
045
done45
023
141
done41
034
done34
033
153
done53
034
done34
058
178
done78
045
done45
044
162
282
done82
045
done45
045
done45
034
done34
01011
12211
24111
3649
41119
52529
67899
731409
done50009
056
1106
2136
3156
done156
078
1167
2307
3547
4866
51466
62016
72226
82646
93706
104256
114326
done4326
079
1149
2209
done209
034
done34
034
done34

prune58.0ms

Filtered
43 candidates to 56 candidates (-30.2%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New56056
Fresh011
Picked011
Done011
Total56359

Merged error: 0.0b

Counts
59 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (log (exp (- (exp x) 1.0))) x)
3.8b
(log (exp (- (exp x) 1.0)))
3.8b
(- (exp x) 1.0)

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt *-un-lft-identity
30×log-pow
27×times-frac
25×exp-prod
23×add-cube-cbrt
associate-/l*
pow1
distribute-lft-out-- difference-of-squares
add-exp-log log-prod add-cbrt-cube add-log-exp
associate-/r*
sub-neg log-div exp-diff exp-sum
cbrt-undiv flip3-- frac-2neg diff-log div-sub div-exp rem-log-exp clear-num flip-- div-inv
Counts
3 → 86
Calls
3 calls:
9.0ms
(/ (log (exp (- (exp x) 1.0))) x)
6.0ms
(log (exp (- (exp x) 1.0)))
5.0ms
(- (exp x) 1.0)

series11.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(/ (log (exp (- (exp x) 1.0))) x)
3.0ms
(log (exp (- (exp x) 1.0)))
3.0ms
(- (exp x) 1.0)

simplify59.0s

Counts
95 → 95
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
066
185
2105
3135
4165
5225
6265
7425
8465
9515
10585
11765
12975
131155
141185
done1185
055
175
285
done85
055
1105
2135
3165
4225
5265
6425
7465
8515
9585
10775
11985
121115
131145
done1145
0611
1811
2911
done911
055
175
285
done85
0614
1914
2246
3676
41786
55076
617246
749836
done50006
055
175
285
done85
055
175
285
done85
078
1228
2468
3858
41768
55218
623128
done50018
0814
11711
22711
33111
43611
54511
67011
712911
826611
971511
10241911
done500011
022
done22
069
1138
2228
3408
4698
51228
62118
74708
821088
done50018
044
154
done54
066
176
done76
066
186
296
done96
044
164
274
done74
022
done22
044
done42
044
172
2132
3142
4192
5252
6312
done312
044
done42
044
172
2132
3142
4192
5252
6312
done312
0814
11514
2209
3249
4309
5349
6509
7549
8599
9669
10849
111059
121229
131259
done1259
077
1127
2157
3187
4247
5287
6447
7507
8557
9627
10807
111017
121187
131217
done1217
077
1127
2157
3187
4247
5287
6447
7507
8557
9627
10807
111017
121187
131217
done1217
077
1127
2157
3187
4247
5287
6447
7507
8557
9627
10807
111017
121187
131217
done1217
022
141
done41
066
1114
2174
3244
4334
5424
6724
7864
81274
91844
102244
112364
done2364
044
done42
033
done31
066
1114
2174
3244
4334
5424
6724
7864
81274
91844
102244
112364
done2364
0813
11211
21911
32711
45211
512511
637511
7135511
done500011
077
195
2105
done105
033
161
done61
088
1126
2166
3176
done176
033
161
done61
077
1125
2185
3255
4345
5435
6735
7875
81285
91825
102225
112385
done2385
077
1125
2185
3255
4345
5435
6735
7875
81285
91825
102225
112385
done2385
0815
11311
21911
32611
43511
54411
67411
78811
812911
918211
1022211
1123911
done23911
077
1125
2185
3255
4345
5435
6735
7875
81285
91825
102225
112385
done2385
0820
11414
2346
3846
42326
55746
619226
done50006
077
1125
2185
3255
4345
5435
6735
7875
81285
91825
102225
112385
done2385
077
1125
2185
3255
4345
5435
6735
7875
81285
91825
102225
112385
done2385
0910
1168
2238
3308
4398
5488
6788
7938
81348
91888
102288
112408
done2408
089
1167
2277
3407
4517
5627
6997
71267
81797
92657
103147
113357
123467
done3467
089
1137
2227
3377
4507
5637
61047
71387
82017
92937
103627
113927
124097
done4097
01126
12520
27810
32358
46528
521308
done50008
0919
11415
22315
33515
44615
55715
69415
712115
817415
926015
1030615
1132915
1233915
done33915
089
1137
2227
3347
4457
5567
6937
71207
81737
92597
103077
113287
123397
done3397
0926
12120
2588
31618
45008
512818
639008
done50018
089
1137
2227
3347
4457
5567
6937
71207
81737
92597
103077
113287
123397
done3397
089
1137
2227
3347
4457
5567
6937
71207
81737
92597
103077
113287
123397
done3397
077
1125
2215
3305
4424
5524
6904
71274
82034
92464
102504
done2504
022
done22
056
done54
055
done53
057
197
done97
089
1137
2227
3347
4457
5567
6937
71207
81737
92597
103077
113287
123397
done3397
044
164
done64
089
1137
2227
3347
4457
5567
6937
71207
81737
92597
103077
113287
123397
done3397
023
141
done41
078
1126
2216
3336
4446
5556
6926
71196
81726
92596
103066
113296
123406
done3406
0811
11211
21311
done1311
01016
11414
22314
33514
46114
513714
642114
7159714
done500014
078
198
2108
done108
01016
11414
22314
33514
46114
513714
642114
7159714
done500014
077
1115
2145
done145
0915
11313
22213
33413
46013
513613
641813
7159313
done500013
0811
11211
21311
done1311
0910
1118
2128
done128
078
198
2108
done108
0910
1118
2128
done128
077
1115
2145
done145
089
1107
2117
done117
0710
11410
22210
32710
43010
done3010
066
194
done94
067
1117
2147
3167
done167
066
194
done94
066
1134
2184
done184
055
183
done83
0912
11612
22412
32912
43212
done3212
01011
1149
2189
3199
done199
089
1139
2169
3189
done189
01011
1149
2189
3199
done199
088
1156
2206
3216
done216
0910
1138
2178
3188
done188
0710
11410
22210
32710
43010
done3010
066
194
done94
067
1117
2147
3167
done167
066
194
done94
066
1134
2184
done184
055
183
done83
01121
12217
23717
35017
45917
56817
69817
711217
815317
920717
1024717
1126017
done26017
0910
1148
2208
3278
4368
5458
6758
7908
81318
91848
102248
112368
done2368
01018
11714
22514
33314
44214
55114
68114
79514
813614
919014
1023014
1124714
done24714
0910
1148
2208
3278
4368
5458
6758
7908
81318
91848
102248
112368
done2368
01017
11911
23111
34211
44911
55811
68511
710011
814111
919411
1023611
1125011
done25011
089
1137
2197
3267
4357
5447
6747
7887
81297
91827
102227
112397
done2397
01013
11711
22311
33011
43911
54811
67811
79311
813411
918811
1022811
1124011
done24011
0910
1148
2208
3278
4368
5458
6758
7908
81318
91848
102248
112368
done2368
0910
1148
2208
3278
4368
5458
6758
7908
81318
91848
102248
112368
done2368
0910
1148
2208
3278
4368
5458
6758
7908
81318
91848
102248
112368
done2368
099
1165
2245
3305
4375
5465
6735
7875
81285
91825
102225
112385
done2385
089
1137
2197
3267
4357
5447
6747
7887
81297
91827
102227
112397
done2397
057
197
done97
089
1137
2227
3347
4457
5567
6937
71207
81737
92597
103077
113287
123397
done3397
044
164
done64
089
1137
2227
3347
4457
5567
6937
71207
81737
92597
103077
113287
123397
done3397
023
141
done41
078
1126
2216
3336
4446
5556
6926
71196
81726
92596
103066
113296
123406
done3406
033
153
done53
078
1126
2186
3256
4346
5436
6736
7876
81286
91826
102226
112386
done2386
0912
11610
22810
34710
46110
57410
611910
716410
823710
935410
1041410
1144010
1245710
done45710
089
1137
2227
3347
4457
5567
6937
71207
81737
92597
103077
113287
123397
done3397
088
1154
2264
3374
4444
5534
6834
71034
81474
92104
102504
112674
done2674
078
1126
2186
3256
4346
5436
6736
7876
81286
91826
102226
112386
done2386
0915
11313
22213
33113
45613
513513
641113
7150513
done500013
089
1107
2117
done117
055
183
done81
0910
1138
2178
3188
done188
055
183
done81
089
1137
2197
3267
4357
5447
6747
7887
81297
91827
102227
112397
done2397
089
1137
2197
3267
4357
5447
6747
7887
81297
91827
102227
112397
done2397
078
1126
2186
3256
4346
5436
6736
7876
81286
91826
102226
112386
done2386
01113
12813
27313
310811
418111
535411
689511
7325011
done500011
044
164
274
done74
044
164
274
done74
01113
12813
27313
310811
418111
535411
689511
7325011
done500011
044
164
274
done74
044
164
274
done74
01011
12211
24111
3649
41119
52529
67899
731409
done50009
056
1106
2136
3156
done156
078
1167
2307
3547
4866
51466
62016
72226
82646
93706
104256
114326
done4326

prune103.0ms

Filtered
64 candidates to 95 candidates (-48.4%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New94195
Fresh000
Picked101
Done022
Total95398

Merged error: 0.0b

Counts
98 → 3

regimes37.0ms

Accuracy

98.7% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 21.3b

bsearch14.0ms

Steps
ItersRangePoint
9
-0.00029558442529086166
-1.7469337222305917e-09
-0.00018926949204835697

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01823
12523
done2523

end0.0ms

sample1.1s

Algorithm
intervals
Results
418.0ms2312×body1280valid
214.0ms1672×body640valid
134.0ms5388×body80valid
71.0ms804×body320valid
21.0ms382×body160valid

Profiling

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