Details

Time bar (total: 3.1min)

sample30.0ms

Algorithm
intervals
Results
8.0ms20×body320valid
7.0ms58×body1280valid
4.0ms144×body80valid
3.0ms28×body640valid
0.0msbody160valid

simplify3.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
067
197
2107
done107

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 26.9b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.2b
(cbrt (+ x 1.0))
0.6b
(cbrt x)
2.1b
(- (cbrt (+ x 1.0)) (cbrt x))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
15×cbrt-prod
14×*-un-lft-identity
13×add-sqr-sqrt
add-cube-cbrt add-log-exp
difference-of-squares
pow1 add-exp-log add-cbrt-cube distribute-lft-out--
cbrt-div pow1/3 distribute-lft-out
sub-neg flip3-- flip3-+ diff-log flip-- flip-+
Counts
3 → 44
Calls
3 calls:
3.0ms
(cbrt (+ x 1.0))
1.0ms
(cbrt x)
9.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

series49.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(cbrt (+ x 1.0))
25.0ms
(cbrt x)
17.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify47.5s

Counts
53 → 53
Iterations

Useful iterations: 4 (22.0ms)

IterNodesCost
089
1118
2138
3168
4198
5258
6298
7458
8498
9548
10618
11808
121018
131138
141168
done1168
078
1108
2118
done118
078
1138
2168
3198
4258
5298
6458
7498
8548
9618
10798
111008
121138
131168
done1168
0817
11117
21217
done1217
078
1108
2118
done118
0823
11223
2279
3709
41799
55079
617179
done50009
078
1108
2118
done118
078
1108
2118
done118
0911
1255
2425
3623
4911
51741
64401
715481
done50001
01023
11820
22620
32918
43018
done3018
033
done33
0815
11415
22115
33615
46115
510215
616615
733415
8164415
done500015
067
187
done87
089
1109
done109
089
1119
2129
done129
089
1109
done109
089
1119
2129
done129
089
1109
done109
089
1119
2129
done129
089
1109
done109
089
1119
2129
done129
067
197
2107
done107
067
197
2107
done107
067
197
2107
done107
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
055
165
done65
055
165
done65
0610
1710
done710
055
165
done65
055
165
done65
055
165
done65
022
141
done41
044
154
done54
022
141
done41
044
154
done54
078
1218
2308
3478
4888
52088
66138
724418
done50008
0812
11610
23110
34410
46410
58510
610210
712510
816810
923010
1023110
done23110
068
1118
2188
3338
4588
5998
61578
73258
815708
done50008
044
164
274
done74
0611
1711
done711
055
165
done65
0614
1814
2106
3153
4213
5313
6543
71103
83193
912593
done50013
055
165
done65
055
165
done65
02944
17939
222234
369029
4246228
done500128
02448
15842
214233
343619
4206916
done500016
02859
16055
213354
337232
4126921
done500121
088
1207
2285
3502
4872
51712
63532
79042
830782
done50002
0910
1198
2355
3722
41262
52642
65682
716352
done50002
01213
12312
24011
39510
42279
55467
612046
734602
done50002
02335
16031
219028
363926
4254125
done500125
01942
14436
29727
325513
490413
done500013
02145
14642
210042
326321
494713
done500013

prune97.0ms

Filtered
41 candidates to 53 candidates (-29.3%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New49453
Fresh000
Picked101
Done000
Total50454

Merged error: 0.2b

Counts
54 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
pow1/3
add-exp-log swap-sqr associate-*r* associate-*l*
add-cbrt-cube add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
6.0ms
(* (cbrt x) (cbrt x))
2.0ms
(cbrt x)
2.0ms
(cbrt x)
2.0ms
(cbrt x)

series113.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(* (cbrt x) (cbrt x))
26.0ms
(cbrt x)
26.0ms
(cbrt x)
30.0ms
(cbrt x)

simplify51.0s

Counts
85 → 85
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
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
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
023
151
done51
023
161
done61
023
done23
035
done35
023
161
done61
047
165
275
done75
046
166
285
395
done95
046
166
2106
3156
4336
5736
61776
75606
822476
done50006
023
done23
0513
done513
046
done46
0517
11317
2207
3343
4533
5873
61513
73353
88323
932263
done50003
046
153
done53
046
153
done53
0513
done513
047
done47
047
done47
047
done47
035
153
done51
035
done35
0515
1915
2119
3205
4355
5615
61315
73485
812555
done50015
047
done47
047
done42
047
done42
023
141
done41
035
done35
047
done47
047
done47
067
177
done77
067
177
done77
067
177
done77
067
177
done77
047
done42
047
done42
033
151
done51
033
161
done61
059
169
done69
056
166
done66
055
184
done84
0510
1810
21010
done1010
046
156
done56
044
172
2102
done102
046
156
done56
056
166
done66
035
done35
046
156
done56
046
156
done56
035
done35
088
1207
2285
3502
4872
51712
63532
79042
830782
done50002
0910
1198
2355
3722
41262
52642
65682
716352
done50002
01213
12312
24011
39510
42279
55467
612046
734602
done50002
088
1207
2285
3502
4872
51712
63532
79042
830782
done50002
0910
1198
2355
3722
41262
52642
65682
716352
done50002
01213
12312
24011
39510
42279
55467
612046
734602
done50002
088
1207
2285
3502
4872
51712
63532
79042
830782
done50002
0910
1198
2355
3722
41262
52642
65682
716352
done50002
01213
12312
24011
39510
42279
55467
612046
734602
done50002
01010
1239
2395
3793
41563
53153
68873
729393
done50003
01112
12210
2468
31315
42863
56173
619803
done50013
01517
13116
26614
318911
455310
5213910
done50009

prune137.0ms

Filtered
52 candidates to 85 candidates (-63.5%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New79685
Fresh033
Picked011
Done000
Total791089

Merged error: 0.1b

Counts
89 → 10

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt (* (cbrt x) (cbrt x)))
0.6b
(cbrt (* (cbrt x) (cbrt x)))
0.6b
(cbrt (* (cbrt x) (cbrt x)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
cbrt-prod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 38
Calls
4 calls:
1.0ms
(cbrt x)
5.0ms
(cbrt (* (cbrt x) (cbrt x)))
5.0ms
(cbrt (* (cbrt x) (cbrt x)))
5.0ms
(cbrt (* (cbrt x) (cbrt x)))

series156.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(cbrt x)
41.0ms
(cbrt (* (cbrt x) (cbrt x)))
41.0ms
(cbrt (* (cbrt x) (cbrt x)))
45.0ms
(cbrt (* (cbrt x) (cbrt x)))

simplify42.3s

Counts
50 → 50
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
057
done57
057
done57
033
done33
033
done33
0615
done615
057
done57
0620
1720
298
3145
4205
5305
6535
71185
83245
912435
done50005
057
done57
057
done57
057
done57
057
done57
033
done33
033
done33
0615
done615
057
done57
0620
1720
298
3145
4205
5305
6535
71185
83245
912435
done50005
057
done57
057
done57
057
done57
057
done57
033
done33
033
done33
0615
done615
057
done57
0620
1720
298
3145
4205
5305
6535
71185
83245
912435
done50005
057
done57
057
done57
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
01010
1239
2395
3783
41553
53113
68833
729533
done50003
01112
12210
2468
31305
42853
56163
619793
done50013
01719
13817
27515
319913
456911
5221411
done500011
01010
1239
2395
3783
41553
53113
68833
729533
done50003
01112
12210
2468
31305
42853
56163
619793
done50013
01719
13817
27515
319913
456911
5221411
done500011
01010
1239
2395
3783
41553
53113
68833
729533
done50003
01112
12210
2468
31305
42853
56163
619793
done50013
01719
13817
27515
319913
456911
5221411
done500011
088
1207
2285
3502
4872
51712
63532
79042
830782
done50002
0910
1198
2355
3722
41262
52642
65682
716352
done50002
01213
12312
24011
39510
42279
55467
612046
734602
done50002

prune117.0ms

Filtered
39 candidates to 50 candidates (-28.2%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New48250
Fresh178
Picked011
Done011
Total491160

Merged error: 0.1b

Counts
60 → 11

localize26.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (* (cbrt x) (cbrt x)))
0.6b
(cbrt (* (cbrt x) (cbrt x)))
0.6b
(cbrt (* (cbrt x) (cbrt x)))
0.6b
(cbrt (* (cbrt x) (cbrt x)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 36
Calls
4 calls:
4.0ms
(cbrt (* (cbrt x) (cbrt x)))
5.0ms
(cbrt (* (cbrt x) (cbrt x)))
5.0ms
(cbrt (* (cbrt x) (cbrt x)))
5.0ms
(cbrt (* (cbrt x) (cbrt x)))

series167.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(cbrt (* (cbrt x) (cbrt x)))
41.0ms
(cbrt (* (cbrt x) (cbrt x)))
44.0ms
(cbrt (* (cbrt x) (cbrt x)))
41.0ms
(cbrt (* (cbrt x) (cbrt x)))

simplify41.0s

Counts
48 → 48
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
057
done57
057
done57
033
done33
033
done33
0615
done615
057
done57
0620
1720
298
3145
4205
5305
6535
71185
83245
912435
done50005
057
done57
057
done57
057
done57
057
done57
033
done33
033
done33
0615
done615
057
done57
0620
1720
298
3145
4205
5305
6535
71185
83245
912435
done50005
057
done57
057
done57
057
done57
057
done57
033
done33
033
done33
0615
done615
057
done57
0620
1720
298
3145
4205
5305
6535
71185
83245
912435
done50005
057
done57
057
done57
057
done57
057
done57
033
done33
033
done33
0615
done615
057
done57
0620
1720
298
3145
4205
5305
6535
71185
83245
912435
done50005
057
done57
057
done57
01010
1239
2395
3783
41553
53113
68833
729533
done50003
01112
12210
2468
31305
42853
56163
619793
done50013
01719
13817
27515
319913
456911
5221411
done500011
01010
1239
2395
3783
41553
53113
68833
729533
done50003
01112
12210
2468
31305
42853
56163
619793
done50013
01719
13817
27515
319913
456911
5221411
done500011
01010
1239
2395
3783
41553
53113
68833
729533
done50003
01112
12210
2468
31305
42853
56163
619793
done50013
01719
13817
27515
319913
456911
5221411
done500011
01010
1239
2395
3783
41553
53113
68833
729533
done50003
01112
12210
2468
31305
42853
56163
619793
done50013
01719
13817
27515
319913
456911
5221411
done500011

prune94.0ms

Filtered
40 candidates to 48 candidates (-20.0%)
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New45348
Fresh358
Picked011
Done022
Total481159

Merged error: 0.1b

Counts
59 → 11

regimes137.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01020
11420
done1420

end0.0ms

sample677.0ms

Algorithm
intervals
Results
217.0ms1749×body1280valid
122.0ms1248×body640valid
114.0ms4093×body80valid
43.0ms609×body320valid
14.0ms301×body160valid

Profiling

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