Details

Time bar (total: 4.3min)

sample23.0ms

Algorithm
intervals
Results
11.0ms301×body80valid

simplify775.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
067
1107
2197
3317
4377
5417
6497
7697
81037
91787
102107
112477
122777
133367
145097
155927
167427
177507
done7507

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(* (+ x 1.0) y)

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt *-un-lft-identity
associate-*l*
pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube
associate-*l/
flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ distribute-lft-out add-log-exp unswap-sqr
Counts
1 → 21
Calls
1 calls:
7.0ms
(* (+ x 1.0) y)

series5.0ms

Counts
1 → 3
Calls
1 calls:
5.0ms
(* (+ x 1.0) y)

simplify18.3s

Counts
24 → 24
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
055
175
2155
done155
077
197
done97
066
1116
2206
done206
066
1106
2286
3406
4676
51336
63336
79496
833876
done50006
0917
12917
2909
32569
49797
536297
done50007
0713
1913
21713
done1713
066
186
2166
done166
0717
11917
2807
32917
47267
518407
643127
done50007
066
186
2166
done166
066
186
2166
done166
077
197
done97
077
197
done97
079
1119
2219
3339
4359
done359
066
186
2166
done166
055
193
2203
3283
done283
066
186
done86
066
186
done86
055
175
2155
done155
055
175
2155
done155
089
1239
2409
3819
41579
53829
612729
done50009
079
1139
2309
3769
41599
52459
63959
77649
833639
done50009
067
1115
2135
done135
067
1115
2135
done135
067
1115
2135
done135

prune33.0ms

Filtered
16 candidates to 24 candidates (-50.0%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New22224
Fresh000
Picked011
Done000
Total22325

Merged error: 0b

Counts
25 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))
0.3b
(cbrt (+ x 1.0))
0.3b
(cbrt (+ x 1.0))
0.3b
(cbrt (+ x 1.0))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
associate-*r* associate-*l*
add-exp-log
frac-times add-cbrt-cube add-log-exp unswap-sqr
associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 95
Calls
4 calls:
11.0ms
(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))
4.0ms
(cbrt (+ x 1.0))
6.0ms
(cbrt (+ x 1.0))
3.0ms
(cbrt (+ x 1.0))

series29.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))
7.0ms
(cbrt (+ x 1.0))
7.0ms
(cbrt (+ x 1.0))
7.0ms
(cbrt (+ x 1.0))

simplify1.7min

Counts
107 → 107
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
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
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
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
023
151
done51
023
161
done61
047
1117
2247
3407
4597
5757
6827
7847
done847
059
169
done69
023
161
done61
0611
197
2107
done107
0610
1910
2117
3127
done127
0610
1910
21310
31810
43610
57810
618210
756310
8223810
done500010
047
1117
2247
3407
4597
5757
6827
7847
done847
0721
1821
done821
0610
1710
done710
0729
11629
22311
3376
4956
52146
65136
717246
done50006
0610
185
done85
0610
185
done85
0817
12217
23117
34817
49117
521217
662017
7244517
done500117
0925
11721
23221
34521
46521
58621
610321
712621
816921
923121
1023221
done23221
01217
13017
24617
37817
414417
530217
679217
7280717
done500017
01117
12215
23715
34915
46615
58615
610315
712615
816915
923115
1023215
done23215
01217
13017
24617
37817
414417
530317
678117
7279717
done500017
01117
12215
23715
34915
46615
58615
610315
712615
816915
923115
1023215
done23215
0717
11217
21917
33417
45917
510017
615617
732417
8165317
done500017
059
179
289
done89
0721
1821
done821
0611
1711
done711
0611
1711
done711
0611
1711
done711
035
153
done51
059
169
done69
035
153
done51
059
169
done69
035
153
done51
059
169
done69
035
153
done51
059
169
done69
0723
11223
21413
3237
4387
5647
61367
73517
812697
done50007
0611
1711
done711
0611
174
284
done84
0611
174
284
done84
023
141
done41
059
169
done69
0611
1711
done711
0611
1711
done711
0811
11011
done1011
0811
11011
done1011
0811
11011
done1011
0811
11011
done1011
0611
174
284
done84
0611
174
284
done84
033
151
done51
033
161
done61
0715
1915
done915
0710
1910
done910
077
1116
done116
077
1116
done116
0716
11116
21316
done1316
0610
1810
done810
066
1104
2134
done134
0610
1810
done810
0710
1910
done910
059
169
done69
059
169
done69
0610
1810
done810
0610
1810
done810
059
169
done69
01013
12613
23513
35213
49113
520313
660913
7244613
done500113
0913
11513
22113
33613
46113
510213
616013
732813
8159613
done500013
01013
12613
23513
35213
49513
521313
662313
7244713
done500113
0913
11513
22113
33613
46113
510213
616013
732813
8158513
done500013
02335
16031
219028
363926
4254125
done500125
01942
14436
29727
325513
490413
done500013
02145
14642
210042
326321
494713
done500013
02335
16031
219028
363926
4254125
done500125
01942
14436
29727
325513
490413
done500013
02145
14642
210042
326321
494713
done500013
02335
16031
219028
363926
4254125
done500125
01942
14436
29727
325513
490413
done500013
02145
14642
210042
326321
494713
done500013
02235
16031
218828
364026
4253625
done500125
02048
14642
210836
331319
4106515
done500015
02148
14745
210639
330921
4110219
done500117

prune222.0ms

Filtered
78 candidates to 107 candidates (-37.2%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1070107
Fresh011
Picked011
Done011
Total1073110

Merged error: 0b

Counts
110 → 3

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (+ x 1.0) y)
0.2b
(pow (* (+ x 1.0) y) 3)
37.8b
(cbrt (pow (* (+ x 1.0) y) 3))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt *-un-lft-identity
pow1 add-exp-log cbrt-prod add-cbrt-cube
add-cube-cbrt
associate-*l/
cube-div associate-*l*
pow-unpow flip3-+ associate-*r* flip-+ add-log-exp
cube-mult unpow-prod-down cbrt-div pow-pow unpow3 cube-prod pow-prod-down pow-exp prod-exp cbrt-unprod rem-cube-cbrt sqr-pow
pow-to-exp pow1/3 *-commutative rem-cbrt-cube distribute-lft-out unswap-sqr
Counts
3 → 64
Calls
3 calls:
7.0ms
(* (+ x 1.0) y)
7.0ms
(pow (* (+ x 1.0) y) 3)
3.0ms
(cbrt (pow (* (+ x 1.0) y) 3))

series23.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(* (+ x 1.0) y)
9.0ms
(pow (* (+ x 1.0) y) 3)
8.0ms
(cbrt (pow (* (+ x 1.0) y) 3))

simplify2.3min

Counts
73 → 73
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
099
1226
2696
32246
46746
517116
done50016
099
1226
2696
32386
47026
517896
done50016
066
1153
2373
3793
41663
54083
612853
733573
done50013
044
1121
2181
3281
4511
51141
63281
712491
done50001
0712
11612
25112
313612
423412
534212
646812
757312
862312
962412
done62412
066
186
2166
done166
01018
12212
26512
322012
467412
5176312
done500012
099
1226
2656
32206
46776
517766
done50006
066
1153
2373
3793
41663
54083
612853
733573
done50013
044
1121
2181
3281
4511
51141
63281
712491
done50001
066
186
2166
done166
0712
11612
25112
313612
423412
534212
646812
757312
862312
962412
done62412
099
1229
2669
32219
46859
517559
done50009
099
1229
2669
32219
46859
517559
done50009
022
141
done41
088
1215
2645
32185
46765
517575
done50015
01010
1168
2308
3408
4618
51248
63378
712588
done50008
01010
1168
2308
3408
4618
51248
63378
712588
done50008
01012
1339
2829
32849
411949
done50019
01014
1269
2639
32009
410319
done50009
01012
1279
2829
33729
425969
done50009
066
1163
2353
3833
42073
55833
619983
done50003
01019
12313
26613
322413
468313
5177713
done500013
099
1226
2656
32206
46776
517766
done50006
01026
1217
2647
32207
46677
517627
done50017
099
1226
2656
32206
46776
517766
done50006
099
1226
2656
32206
46776
517766
done50006
099
1129
2209
done209
088
1148
2298
3308
done308
088
1148
2298
3308
done308
033
161
done61
033
161
done61
0911
11511
23011
35411
411011
527211
688611
7333411
done500011
088
1148
2278
3458
4848
51958
65708
722008
done50008
077
1165
2315
3425
4645
51215
63335
712585
done50005
055
1145
2365
3785
41655
54065
612735
733045
done50005
033
1113
2173
3273
4503
51133
63273
712463
done50003
0611
11511
25011
313611
423511
534111
646511
757211
862511
962911
done62911
088
1238
2798
32838
48638
521388
done50008
088
1218
2728
32718
49008
526358
done50018
0917
12111
26411
322011
466411
5174611
done500011
088
1215
2645
32185
46765
517575
done50015
0923
12615
21139
38449
done50009
055
1145
2365
3785
41655
54065
612735
733045
done50005
033
1113
2173
3273
4503
51133
63273
712463
done50003
0911
13211
28111
327111
4117511
done500111
0913
12511
26211
319911
4103111
done500011
0911
12611
28111
336811
4256411
done500011
055
1155
2345
3825
42065
55855
619835
done50005
0611
11511
25011
313611
423511
534111
646511
757211
862511
962911
done62911
088
1218
2658
32198
46738
517588
done50008
088
1218
2658
32198
46738
517588
done50008
099
1167
2307
3407
4617
51247
63407
712617
done50007
099
1167
2307
3407
4617
51247
63407
712617
done50007
055
175
2155
done155
077
197
done97
066
1116
2206
done206
066
1106
2286
3406
4676
51336
63336
79496
833876
done50006
0917
12917
2909
32569
49797
536297
done50007
0713
1913
21713
done1713
066
186
2166
done166
0717
11917
2807
32917
47267
518407
643127
done50007
066
186
2166
done166
066
186
2166
done166
077
197
done97
077
197
done97
079
1119
2219
3339
4359
done359
066
186
2166
done166
055
193
2203
3283
done283
066
186
done86
066
186
done86
055
175
2155
done155
055
175
2155
done155
089
1239
2409
3819
41579
53829
612729
done50009
079
1139
2309
3769
41599
52459
63959
77649
833639
done50009
067
1115
2135
done135
067
1115
2135
done135
01114
12114
2589
31309
42049
52219
done2219
01523
14023
213919
336015
490613
5248913
done500113
01525
14623
217019
351915
4152213
done500013
01525
14623
217019
351915
4152213
done500013
067
1115
2135
done135
067
1115
2135
done135
067
1115
2135
done135

prune101.0ms

Filtered
51 candidates to 73 candidates (-43.1%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New73073
Fresh000
Picked011
Done022
Total73376

Merged error: 0b

Counts
76 → 3

regimes112.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
187
done87

end0.0ms

sample494.0ms

Algorithm
intervals
Results
218.0ms9125×body80valid
0.0msbody1280valid
0.0msbody160valid

Profiling

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