Details

Time bar (total: 15.7min)

sample44.0ms

Algorithm
intervals
Results
15.0ms270×body80nan
15.0ms256×body80valid

simplify1.8s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01419
12719
26919
316619
431619
557319
682319
791619
893519
done93519

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- 1.0 (* 3.0 (* v v))))
0.0b
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
0.0b
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
0.2b
(* 3.0 (* v v))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
26×associate-*l*
23×add-exp-log add-cbrt-cube
22×add-cube-cbrt *-un-lft-identity times-frac
20×sqrt-prod
18×frac-times sqrt-div
17×pow1
15×flip3-- flip--
11×associate-*r*
10×associate-*r/ prod-exp cbrt-unprod
associate-*l/
pow-prod-down unswap-sqr
add-log-exp
*-commutative
cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp
rem-sqrt-square sqrt-pow1 pow1/2 div-inv difference-of-squares
Counts
4 → 128
Calls
4 calls:
3.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
12.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
15.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
6.0ms
(* 3.0 (* v v))

series37.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
11.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
16.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
4.0ms
(* 3.0 (* v v))

simplify3.3min

Counts
140 → 140
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
045
175
295
done95
045
175
295
done95
068
1117
2147
done147
067
197
2157
3167
done167
056
1116
2186
3256
4266
done266
056
1106
2206
3386
4806
51826
64466
712986
846726
done50006
0817
12117
27311
32007
44167
511627
639227
done50007
0817
12217
2699
31967
44417
512437
641927
done50007
0613
1913
21113
done1113
056
186
2106
done106
0617
11917
2707
32247
43657
55317
614257
747847
done50007
056
186
2106
done106
056
186
2106
done106
044
154
done54
044
154
done54
033
143
done43
056
186
2106
done106
056
186
2106
done106
045
175
295
done95
01419
12719
26919
316619
431619
557319
682319
791619
893519
done93519
01419
12719
26919
316619
431619
557319
682319
791619
893519
done93519
01823
13323
27223
313423
419923
526223
632123
743223
857423
958923
1059023
done59023
01722
13122
26022
310422
415522
522022
628622
736322
848122
961522
1062322
done62322
01621
13021
25821
39321
414321
520521
630121
736821
848921
958821
1065921
done65921
01520
13120
28320
320620
440620
574120
6109120
7128620
8141520
9147220
10156520
11156620
done156620
01520
13020
28320
321420
447320
5104420
6258320
done500020
02259
15045
221227
3141927
done500027
02059
14649
218325
3101925
done500025
01859
14459
217123
397223
done500023
01641
12941
27141
316841
432341
558241
683841
793141
895041
done95041
01520
12820
27020
316720
431520
557120
682120
791620
893520
done93520
01659
13959
217321
3109921
done500021
01520
12820
27020
316720
431520
557120
682120
791620
893520
done93520
01520
12820
27020
316720
431520
557120
682120
791620
893520
done93520
01625
14925
217523
379823
4318823
done500023
01844
15934
218634
344532
467732
595332
6156432
7396032
done500032
01727
15027
215725
366023
4223923
done500023
01532
14526
213326
324826
428026
531326
641726
773526
8183526
done500026
01729
15129
215225
352123
4177823
done500123
01528
14224
211524
329322
450822
568922
6108522
7253922
done500022
01531
14231
212527
342323
4105523
5228123
done500023
01116
12616
25916
37716
48716
done8716
01827
15327
218825
384425
4372825
done500125
01642
15432
214732
329030
437630
551030
692730
7235130
done500130
01929
15429
217027
372825
4254425
done500025
01330
14024
210224
319224
422124
525424
635524
766424
8172824
done500024
01931
15531
216527
358225
4232425
done500125
01326
13722
28022
314220
419920
525920
644220
7104220
8357120
done500020
01733
14633
213829
349125
4149325
5393725
done500025
0914
12114
22814
done2814
01521
14121
211419
335919
4132719
done500019
01019
13015
27115
313513
419713
526113
644113
7103313
8352313
done500013
01423
13223
28221
325319
468819
5154719
6349219
done500019
067
1147
2197
done197
01315
12415
25215
38415
410315
511915
612815
done12815
01418
13018
27918
319418
436118
555518
670518
774418
874518
done74518
01315
12415
25215
38415
410315
511915
612815
done12815
01418
13018
27918
319418
436118
555518
670518
774418
874518
done74518
01315
12415
25215
38315
410315
512115
612915
done12915
01418
13018
27918
319518
436918
555918
674118
776818
done76818
01315
12415
25215
38315
410315
512115
612915
done12915
01418
13018
27918
319518
436918
555918
674118
776818
done76818
01627
13127
27027
312427
417827
522527
625927
726527
done26527
01520
12820
25820
38720
410520
512120
613020
done13020
01415
12713
26113
310313
414213
515713
616313
done16313
01518
13318
29018
316018
421618
526618
630318
730818
done30818
0914
11714
23814
36214
47114
57514
done7514
01723
14523
212721
342421
4189021
done500021
01625
13625
29723
332821
4107621
5312721
done500021
01521
14221
213521
352221
4172521
5450021
done500021
01425
13525
210225
328923
456621
584521
6129421
7249121
done500121
01723
14623
214823
357823
4191723
5497223
done500023
01627
13927
211527
334325
472423
5121923
6188923
7322423
done500023
01217
12317
25617
310917
415917
520517
621717
done21717
01213
12013
23613
35013
45213
55313
done5313
01516
12516
24816
36916
47816
58316
69216
710916
812816
913616
done13616
01415
12315
24215
36315
47315
58215
68715
79615
811315
913215
1014015
done14015
01314
12414
24614
37014
48814
510114
611314
712514
814814
916014
1017614
1117814
done17814
01314
12314
24514
36714
49414
516014
632714
784914
8349914
done500014
01841
13827
213619
367219
4333019
done500019
01641
13431
210917
343317
4216415
done500015
01429
12229
23829
35229
45429
55529
done5529
01314
12114
23714
35114
45314
55414
done5414
01441
13241
29915
335315
4121715
5480915
done500015
01314
12114
23714
35114
45314
55414
done5414
01314
12114
23714
35114
45314
55414
done5414
01315
13515
210615
345215
4160215
5433815
done500115
01326
13320
29020
317720
420220
523520
633820
764520
8171820
done500020
01219
12819
27419
321617
443715
568715
6109115
7227215
done500015
0910
11410
21610
done1610
01415
12015
23315
34515
done4515
01415
12015
23315
34515
done4515
01415
12015
23315
34515
done4515
01415
12015
23315
34515
done4515
01516
12316
23916
35316
45516
55616
done5616
01516
12316
23916
35316
45516
55616
done5616
01516
12316
23916
35316
45516
55616
done5616
01516
12316
23916
35316
45516
55616
done5616
01516
12316
23916
35316
45516
55616
done5616
01516
12316
23916
35316
45516
55616
done5616
01516
12316
23916
35316
45516
55616
done5616
01516
12316
23916
35316
45516
55616
done5616
01424
12424
24524
36524
47424
58024
68524
done8524
01423
12314
23914
35314
45514
55614
done5614
01314
12114
23714
35114
45314
55414
done5414
077
1126
2156
3174
4264
5314
6324
done324
01314
12114
23714
35114
45314
55414
done5414
066
1114
2214
3274
4304
5354
6374
done374
01314
11914
23214
34414
done4414
01314
11914
23214
34414
done4414
01415
12215
23815
35215
45415
55515
done5515
01415
12215
23815
35215
45415
55515
done5515
01314
12114
23714
35114
45314
55414
done5414
01415
12215
23815
35215
45415
55515
done5515
01415
12215
23815
35215
45415
55515
done5515
01314
12114
23714
35114
45314
55414
done5414
01415
12215
23815
35215
45415
55515
done5515
01415
12215
23815
35215
45415
55515
done5515
01314
12114
23714
35114
45314
55414
done5414
01314
12114
23714
35114
45314
55414
done5414
01314
12114
23714
35114
45314
55414
done5414
01213
12013
23613
35013
45213
55313
done5313
01415
12215
23815
35215
45415
55515
done5515
01415
12215
23815
35215
45415
55515
done5515
01314
12114
23714
35114
45314
55414
done5414
01314
12114
23714
35114
45314
55414
done5414
01314
12114
23714
35114
45314
55414
done5414
01213
12013
23613
35013
45213
55313
done5313
01213
12013
23613
35013
45213
55313
done5313
01112
12112
23710
36210
46710
done6710
01517
13917
211317
344517
4157017
5430717
done500017
01421
13221
28121
322419
445017
571217
6115417
7234217
done500017
01011
11611
22911
34111
done4111
089
1139
2269
3389
done389
089
1139
2269
3389
done389
0919
11419
22719
33919
done3919
089
1139
2269
3389
done389
0926
11516
23710
38310
414710
517510
619810
726310
847210
9140510
done500010
0918
1159
2289
3409
done409
089
1139
2269
3389
done389
089
1139
2269
3389
done389
089
1139
2269
3389
done389
022
141
done41
078
1128
2258
3378
done378
01012
13112
210212
344612
4155912
5432712
done500012
01124
13018
28718
317418
419818
523118
633518
764318
8170218
done500118
0916
12416
27016
321414
443112
569212
6112512
7229612
done500012
078
1118
2138
done138
033
161
done61
089
1139
2269
3389
done389
089
1139
2269
3389
done389
055
1115
2275
3325
4385
5485
6705
71295
83465
912725
done50005
055
1115
2275
3325
4385
5485
6705
71295
83465
912725
done50005
055
1115
2275
3325
4385
5485
6705
71295
83465
912725
done50005
03057
18157
227357
390251
4395540
done500140
03058
18358
224058
374953
4232141
done500041
03058
18358
224258
373653
4209341
done500141
02433
16033
218033
360733
4328030
done500030
02336
15936
217636
366336
4367130
done500030
02336
15936
217036
362336
4264230
done500130
01722
14322
212122
336622
4152519
done500019
01829
15029
214325
352925
4257225
done500025
01829
15029
213725
348625
4189525
done500125

prune370.0ms

Filtered
113 candidates to 140 candidates (-23.9%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1373140
Fresh000
Picked101
Done000
Total1383141

Merged error: 0b

Counts
141 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
0.2b
(* 3.0 (* v v))
0.2b
(* 3.0 (* v v))
0.2b
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (neg (* v v)))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt
29×associate-*l*
28×add-exp-log add-cbrt-cube
22×add-cube-cbrt *-un-lft-identity times-frac
21×pow1
17×sqrt-prod
14×associate-*r*
13×prod-exp cbrt-unprod
10×pow-prod-down
sqrt-div unswap-sqr
associate-*l/
frac-times flip3-- associate-*r/ *-commutative flip-- add-log-exp
cbrt-undiv div-exp
distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in distribute-rgt-neg-out div-inv
Counts
4 → 119
Calls
4 calls:
13.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
6.0ms
(* 3.0 (* v v))
10.0ms
(* 3.0 (* v v))
13.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (neg (* v v)))

series32.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
4.0ms
(* 3.0 (* v v))
4.0ms
(* 3.0 (* v v))
13.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (neg (* v v)))

simplify4.3min

Counts
131 → 131
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01418
13018
27918
319418
436118
555518
670518
774418
874518
done74518
01418
13018
27918
319418
436118
555518
670518
774418
874518
done74518
01822
13422
27322
316722
440522
569022
6127422
7178322
8231322
9235922
10236022
done236022
01721
13221
26121
312921
428621
555321
688321
7118221
8178121
9233221
10235221
done235221
01620
13120
25920
311020
422420
543720
679920
7139720
8191420
9248720
10272720
done272720
01519
13419
29719
326119
457919
5109719
6183819
7290619
8384419
9460519
done500019
01519
13319
29619
326019
459319
5129919
6311219
done500019
02256
15840
225926
3187426
done500126
02056
15444
223024
3143324
done500024
01856
15254
221822
3135122
done500122
01639
13239
28139
319639
436139
555839
670839
774739
874839
done74839
01519
13119
28019
319519
436119
555619
670719
774619
874819
done74819
01656
14256
221220
3155620
done500020
01519
13119
28019
319519
436119
555619
670719
774619
874819
done74819
01519
13119
28019
319519
436119
555619
670719
774619
874819
done74819
01317
12617
26317
311817
417117
521817
625217
725817
done25817
01625
13225
26725
312325
417725
522425
625825
726425
done26425
01519
12919
25519
38419
410219
511819
612719
done12719
01415
12713
26113
310313
414213
515713
616313
done16313
01415
12515
25414
39614
411914
513714
614714
done14714
01416
12716
26416
312616
419616
525716
629716
730816
830916
done30916
01315
12415
25215
38415
410215
511815
612715
done12715
0913
12013
24313
36113
46313
done6313
01520
14520
214320
352820
4168320
5447520
done500020
01424
13824
211024
330122
456220
582120
6125520
7246820
done500120
01722
14922
215822
360122
4194822
5494522
done500022
01626
14226
212526
337124
479322
5123922
6181922
7312022
done500022
01216
12616
26416
312116
415216
515916
done15916
045
175
295
done95
045
175
295
done95
068
1117
2147
done147
067
197
2157
3167
done167
056
1116
2186
3256
4266
done266
056
1106
2206
3386
4806
51826
64466
712986
846726
done50006
0817
12117
27311
32007
44167
511627
639227
done50007
0817
12217
2699
31967
44417
512437
641927
done50007
0613
1913
21113
done1113
056
186
2106
done106
0617
11917
2707
32247
43657
55317
614257
747847
done50007
056
186
2106
done106
056
186
2106
done106
044
154
done54
044
154
done54
033
143
done43
056
186
2106
done106
056
186
2106
done106
045
175
295
done95
045
175
295
done95
045
175
295
done95
068
1117
2147
done147
067
197
2157
3167
done167
056
1116
2186
3256
4266
done266
056
1106
2206
3386
4806
51826
64466
712986
846726
done50006
0817
12117
27311
32007
44167
511627
639227
done50007
0817
12217
2699
31967
44417
512437
641927
done50007
0613
1913
21113
done1113
056
186
2106
done106
0617
11917
2707
32247
43657
55317
614257
747847
done50007
056
186
2106
done106
056
186
2106
done106
044
154
done54
044
154
done54
033
143
done43
056
186
2106
done106
056
186
2106
done106
045
175
295
done95
01213
12013
23613
35013
45213
55313
done5313
01516
12516
24816
36916
47816
58316
69216
710916
812816
913616
done13616
01415
12315
24215
36315
47315
58215
68715
79615
811315
913215
1014015
done14015
01314
12414
24614
37014
48814
510114
611314
712514
814814
916014
1017614
1117814
done17814
01314
12314
24514
36714
49414
516014
632714
784914
8349914
done500014
01841
13827
213619
367219
4333019
done500019
01641
13431
210917
343317
4216415
done500015
01429
12229
23829
35229
45429
55529
done5529
01314
12114
23714
35114
45314
55414
done5414
01441
13241
29915
335315
4121715
5480915
done500015
01314
12114
23714
35114
45314
55414
done5414
01314
12114
23714
35114
45314
55414
done5414
01315
13515
210615
345215
4160215
5433815
done500115
01326
13320
29020
317720
420220
523520
633820
764520
8171820
done500020
01219
12819
27419
321617
443715
568715
6109115
7227215
done500015
0910
11410
21610
done1610
01415
12015
23315
34515
done4515
01415
12015
23315
34515
done4515
01415
12015
23315
34515
done4515
01415
12015
23315
34515
done4515
01516
12316
23916
35316
45516
55616
done5616
01516
12316
23916
35316
45516
55616
done5616
01516
12316
23916
35316
45516
55616
done5616
01516
12316
23916
35316
45516
55616
done5616
01516
12316
23916
35316
45516
55616
done5616
01516
12316
23916
35316
45516
55616
done5616
01516
12316
23916
35316
45516
55616
done5616
01516
12316
23916
35316
45516
55616
done5616
01424
12424
24524
36524
47424
58024
68524
done8524
01423
12314
23914
35314
45514
55614
done5614
01314
12114
23714
35114
45314
55414
done5414
077
1126
2156
3174
4264
5314
6324
done324
01314
12114
23714
35114
45314
55414
done5414
066
1114
2214
3274
4304
5354
6374
done374
01314
11914
23214
34414
done4414
01314
11914
23214
34414
done4414
01415
12215
23815
35215
45415
55515
done5515
01415
12215
23815
35215
45415
55515
done5515
01314
12114
23714
35114
45314
55414
done5414
01415
12215
23815
35215
45415
55515
done5515
01415
12215
23815
35215
45415
55515
done5515
01314
12114
23714
35114
45314
55414
done5414
01415
12215
23815
35215
45415
55515
done5515
01415
12215
23815
35215
45415
55515
done5515
01314
12114
23714
35114
45314
55414
done5414
01314
12114
23714
35114
45314
55414
done5414
01314
12114
23714
35114
45314
55414
done5414
01213
12013
23613
35013
45213
55313
done5313
01415
12215
23815
35215
45415
55515
done5515
01415
12215
23815
35215
45415
55515
done5515
01314
12114
23714
35114
45314
55414
done5414
01314
12114
23714
35114
45314
55414
done5414
01314
12114
23714
35114
45314
55414
done5414
01213
12013
23613
35013
45213
55313
done5313
01213
12013
23613
35013
45213
55313
done5313
01112
12112
23710
36210
46710
done6710
01517
13917
211317
344517
4157017
5430717
done500017
01421
13221
28121
322419
445017
571217
6115417
7234217
done500017
01011
11611
22911
34111
done4111
02737
16937
222537
375937
4372334
done500034
02336
16036
216236
355036
4190333
done500133
02336
16036
216836
355436
4178933
done500033
055
1115
2275
3325
4385
5485
6705
71295
83465
912725
done50005
055
1115
2275
3325
4385
5485
6705
71295
83465
912725
done50005
055
1115
2275
3325
4385
5485
6705
71295
83465
912725
done50005
055
1115
2275
3325
4385
5485
6705
71295
83465
912725
done50005
055
1115
2275
3325
4385
5485
6705
71295
83465
912725
done50005
055
1115
2275
3325
4385
5485
6705
71295
83465
912725
done50005
02433
16033
218033
360733
4328030
done500030
02336
15936
217636
366336
4367130
done500030
02336
15936
217036
362336
4264230
done500130

prune741.0ms

Filtered
103 candidates to 131 candidates (-27.2%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1310131
Fresh022
Picked011
Done000
Total1313134

Merged error: 0b

Counts
134 → 3

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- 1.0 (* 3.0 (* v v))))
0.0b
(* (sqrt (- 1.0 (* 3.0 (* v v)))) (- 1.0 (* v v)))
0.0b
(* (/ (sqrt 2.0) 4.0) (* (sqrt (- 1.0 (* 3.0 (* v v)))) (- 1.0 (* v v))))
0.2b
(* 3.0 (* v v))

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
31×associate-*l*
29×add-sqr-sqrt
23×add-exp-log add-cbrt-cube
22×add-cube-cbrt *-un-lft-identity
20×frac-times sqrt-div
19×flip3-- flip--
18×times-frac
17×pow1
16×sqrt-prod
14×associate-*r/
10×distribute-rgt-in distribute-lft-in prod-exp cbrt-unprod
pow-prod-down associate-*l/
sub-neg associate-*r*
add-log-exp
*-commutative unswap-sqr
cbrt-undiv div-exp
rem-sqrt-square sqrt-pow1 pow1/2 div-inv difference-of-squares
Counts
4 → 135
Calls
4 calls:
6.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
18.0ms
(* (sqrt (- 1.0 (* 3.0 (* v v)))) (- 1.0 (* v v)))
31.0ms
(* (/ (sqrt 2.0) 4.0) (* (sqrt (- 1.0 (* 3.0 (* v v)))) (- 1.0 (* v v))))
13.0ms
(* 3.0 (* v v))

series67.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
18.0ms
(* (sqrt (- 1.0 (* 3.0 (* v v)))) (- 1.0 (* v v)))
32.0ms
(* (/ (sqrt 2.0) 4.0) (* (sqrt (- 1.0 (* 3.0 (* v v)))) (- 1.0 (* v v))))
6.0ms
(* 3.0 (* v v))

simplify5.5min

Counts
147 → 147
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
045
175
295
done95
045
175
295
done95
068
1117
2147
done147
067
197
2157
3167
done167
056
1116
2186
3256
4266
done266
056
1106
2206
3386
4806
51826
64466
712986
846726
done50006
0817
12117
27311
32007
44167
511627
639227
done50007
0817
12217
2699
31967
44417
512437
641927
done50007
0613
1913
21113
done1113
056
186
2106
done106
0617
11917
2707
32247
43657
55317
614257
747847
done50007
056
186
2106
done106
056
186
2106
done106
044
154
done54
044
154
done54
033
143
done43
056
186
2106
done106
056
186
2106
done106
045
175
295
done95
01419
12719
26819
316319
430019
549819
675419
793519
896819
done96819
01419
12719
26819
316319
430019
549819
675419
793519
896819
done96819
01823
13323
27123
312623
417723
528423
635323
747123
862023
963223
done63223
01722
13322
27122
313322
419422
529822
636522
748022
863322
964722
done64722
01722
13122
26022
310322
414922
521322
627922
734822
846322
959822
1061022
done61022
01621
13121
26321
311321
416321
521421
632121
739021
850921
965421
1066621
done66621
01520
13120
28420
320420
439320
566620
699820
7133220
8148620
9160720
10167620
11167720
done167720
01520
13020
27920
320320
445020
596920
6259120
done500020
02259
15045
220327
3137927
done500127
02059
15255
220625
3138625
done500025
02059
14649
217625
398325
done500125
01859
14859
217923
399523
done500023
01641
12941
27041
316341
429841
549841
675841
793941
897341
done97341
01520
12820
26920
316420
430120
549620
675220
793320
896320
done96320
01659
13959
216721
3102421
done500021
01520
12820
26920
316420
430120
549620
675220
793320
896320
done96320
01520
12820
26920
316420
430120
549620
675220
793320
896320
done96320
01625
14925
217523
379623
4320423
done500023
01844
15934
217834
343432
468632
599132
6164332
7402932
done500032
01727
15027
215925
366623
4225623
done500023
01532
14526
212726
324926
428526
531826
642426
775126
8186926
done500026
01729
15129
215225
352023
4176823
done500123
01528
14224
211124
328322
448522
570122
6109422
7263822
done500022
01531
14231
212727
342723
4106723
5228623
done500023
01116
12616
25316
38416
49016
done9016
01521
14121
211419
335919
4131919
done500019
01019
13015
27115
313513
419713
526113
644113
7103313
8352313
done500013
01423
13223
28221
325419
468919
5154919
6342619
done500019
067
1147
2197
done197
01521
14221
213521
352221
4172521
5450021
done500021
01326
13320
29020
317720
420220
523520
633820
764520
8171820
done500020
01425
13525
210225
328923
457021
586721
6132021
7253221
done500121
0910
11410
21610
done1610
01315
12415
25115
37915
49715
510815
611815
711915
done11915
01418
13018
27918
320018
438118
554518
671118
778018
878118
done78118
01315
12415
25115
37915
49715
510815
611815
711915
done11915
01418
13018
27918
320018
438118
554518
671118
778018
878118
done78118
01315
12415
25115
37915
49715
510815
611815
711915
done11915
01418
13018
27918
320218
437518
554118
670718
777818
877918
done77918
01315
12415
25115
37915
49715
510815
611815
711915
done11915
01418
13018
27918
320218
437518
554118
670718
777818
877918
done77918
01315
12415
25115
38115
410115
510915
611115
done11115
01418
13018
27918
320818
439718
561018
676818
779718
done79718
01315
12415
25115
38115
410115
510915
611115
done11115
01418
13018
27918
320818
439718
561018
676818
779718
done79718
01315
12415
25115
38115
410115
510915
611115
done11115
01418
13018
27918
321318
441018
563518
678418
780418
done80418
01315
12415
25115
38115
410115
510915
611115
done11115
01418
13018
27918
321318
441018
563518
678418
780418
done80418
01213
12013
23613
35013
45213
55313
done5313
01520
12620
25920
311220
416420
520820
622020
done22020
01520
12620
25920
311220
416420
520820
622020
done22020
01621
12921
27021
316321
429821
550221
676221
794321
897721
done97721
01621
12921
27021
316321
429821
550221
676221
794321
897721
done97721
01520
12820
26920
316420
429920
550420
676620
794820
897820
done97820
01621
12921
27021
316321
429821
550221
676221
794321
897721
done97721
01621
12921
27021
316321
429821
550221
676221
794321
897721
done97721
01520
12820
26920
316420
429920
550420
676620
794820
897820
done97820
01621
12921
27021
316321
429821
550221
676221
794321
897721
done97721
01621
12921
27021
316321
429821
550221
676221
794321
897721
done97721
01520
12820
26920
316420
429920
550420
676620
794820
897820
done97820
01520
12820
26920
316420
429920
550620
676620
794720
897920
done97920
01520
12820
26920
316420
429920
550620
676620
794720
897920
done97920
01419
12719
26819
316319
430019
549819
675419
793519
896819
done96819
01621
12921
27021
316321
429821
550221
676221
794321
897721
done97721
01621
12921
27021
316321
429821
550221
676221
794321
897721
done97721
01520
12820
26920
316420
429920
550420
676620
794820
897820
done97820
01520
12820
26920
316420
429920
550620
676620
794720
897920
done97920
01520
12820
26920
316420
429920
550620
676620
794720
897920
done97920
01419
12719
26819
316319
430019
549819
675419
793519
896819
done96819
01419
12719
26819
316319
430019
549819
675419
793519
896819
done96819
01318
12818
26916
319116
436816
566616
687616
799416
8100916
done100916
01827
15327
218725
384425
4378625
done500125
01929
15429
217127
372925
4256125
done500025
01931
15531
216427
357825
4234225
done500025
01733
14633
213929
349525
4151025
5378725
done500025
01723
14523
212621
341921
4191621
done500021
01625
13625
29423
332621
4106121
5293021
done500121
01723
14623
214723
356723
4184823
5479223
done500023
01627
13927
211427
334025
471923
5117423
6186423
7330023
done500023
01217
12317
25617
310917
415917
520517
621717
done21717
0914
11714
23814
36214
47114
57514
done7514
01116
11916
23416
34516
done4516
01015
12115
24315
36715
47615
58015
done8015
01015
12015
24715
39115
414815
528615
666515
7219315
done500115
01344
12734
29218
336218
4174116
done500016
01131
11931
24031
36431
47331
57731
done7731
01015
11815
23915
36315
47015
57415
done7415
01144
12944
29716
335116
4152716
done500116
01015
11815
23915
36315
47015
57415
done7415
01015
11815
23915
36315
47015
57415
done7415
01322
14322
215720
369220
4263020
done500120
01642
15432
214732
329030
437630
551030
692730
7235130
done500130
01424
14424
213722
357320
4187220
done500020
01330
14024
210224
319224
422124
525424
635524
766424
8172824
done500024
01426
14526
213422
342120
4118620
5363420
done500020
01326
13722
28022
314220
419920
525920
644220
7104220
8357120
done500020
01228
13628
210724
332520
474020
5142620
6294120
done500020
0914
12114
22814
done2814
01116
11916
23416
34516
done4516
01116
11916
23416
34516
done4516
01116
11916
23416
34516
done4516
01116
11916
23416
34516
done4516
0810
11410
22710
33910
done3910
0913
12013
24313
36113
46313
done6313
0810
11410
22710
33910
done3910
0913
12013
24313
36113
46313
done6313
0810
11410
22710
33910
done3910
0913
12013
24313
36113
46313
done6313
0810
11410
22710
33910
done3910
0913
12013
24313
36113
46313
done6313
01122
12122
23822
34922
done4922
01015
11815
23315
34415
done4415
0910
1178
2338
3458
done458
01013
12313
23713
34913
done4913
01015
11815
23915
36315
47015
57415
done7415
01015
11815
23915
36315
47015
57415
done7415
01015
11815
23915
36315
47015
57415
done7415
0914
11714
23814
36214
47114
57514
done7514
01015
11815
23915
36315
47015
57415
done7415
0914
11714
23814
36214
47114
57514
done7514
01218
13518
29616
326016
475116
5272616
done500016
01120
12620
26418
315716
432116
563216
6131216
7356016
done500116
01218
13618
211718
347218
4160918
5439318
done500018
01122
12922
28422
323620
447518
572918
6112618
7231118
done500018
089
1139
2269
3389
done389
089
1139
2269
3389
done389
0919
11419
22719
33919
done3919
089
1139
2269
3389
done389
0926
11516
23710
38310
414710
517510
619810
726310
847210
9140510
done500010
0918
1159
2289
3409
done409
089
1139
2269
3389
done389
089
1139
2269
3389
done389
089
1139
2269
3389
done389
022
141
done41
078
1128
2258
3378
done378
01012
13112
210212
344612
4155912
5432712
done500012
01124
13018
28718
317418
419818
523118
633518
764318
8170218
done500118
0916
12416
27016
321414
443112
569212
6112512
7229612
done500012
078
1118
2138
done138
033
161
done61
089
1139
2269
3389
done389
089
1139
2269
3389
done389
055
1115
2275
3325
4385
5485
6705
71295
83465
912725
done50005
055
1115
2275
3325
4385
5485
6705
71295
83465
912725
done50005
055
1115
2275
3325
4385
5485
6705
71295
83465
912725
done50005
03057
18157
227357
390251
4395540
done500140
03058
18358
224058
374953
4232141
done500041
03058
18358
224258
373653
4209341
done500141
02340
16040
218040
353533
4198329
done500029
02545
17045
217941
347841
4125733
5374532
done500032
02545
17045
218141
347941
4138333
5498832
done500032
01722
14322
212122
336622
4152519
done500019
01829
15029
214325
352925
4257225
done500025
01829
15029
213725
348625
4189525
done500125

prune366.0ms

Filtered
120 candidates to 147 candidates (-22.5%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1470147
Fresh011
Picked011
Done011
Total1473150

Merged error: 0b

Counts
150 → 3

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b
(pow (* 3.0 (* v v)) 3)
0.2b
(* 3.0 (* v v))
0.2b
(* 3.0 (* v v))
0.2b
(* 3.0 (* v v))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
25×pow1 add-exp-log add-cbrt-cube
12×pow-prod-down prod-exp cbrt-unprod
11×add-sqr-sqrt
associate-*l*
add-cube-cbrt *-un-lft-identity
add-log-exp
pow-unpow pow-pow associate-*r* pow-exp *-commutative rem-cube-cbrt unswap-sqr
cube-mult pow-to-exp unpow-prod-down unpow3 cube-prod sqr-pow
Counts
4 → 82
Calls
4 calls:
7.0ms
(pow (* 3.0 (* v v)) 3)
7.0ms
(* 3.0 (* v v))
7.0ms
(* 3.0 (* v v))
7.0ms
(* 3.0 (* v v))

series16.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(pow (* 3.0 (* v v)) 3)
4.0ms
(* 3.0 (* v v))
4.0ms
(* 3.0 (* v v))
4.0ms
(* 3.0 (* v v))

simplify2.5min

Counts
94 → 94
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
045
175
295
done95
045
175
295
done95
068
1117
2147
done147
067
197
2157
3167
done167
056
1116
2186
3256
4266
done266
056
1106
2206
3386
4806
51826
64466
712986
846726
done50006
0817
12117
27311
32007
44167
511627
639227
done50007
0817
12217
2699
31967
44417
512437
641927
done50007
0613
1913
21113
done1113
056
186
2106
done106
0617
11917
2707
32247
43657
55317
614257
747847
done50007
056
186
2106
done106
056
186
2106
done106
044
154
done54
044
154
done54
033
143
done43
056
186
2106
done106
056
186
2106
done106
045
175
295
done95
045
175
295
done95
045
175
295
done95
068
1117
2147
done147
067
197
2157
3167
done167
056
1116
2186
3256
4266
done266
056
1106
2206
3386
4806
51826
64466
712986
846726
done50006
0817
12117
27311
32007
44167
511627
639227
done50007
0817
12217
2699
31967
44417
512437
641927
done50007
0613
1913
21113
done1113
056
186
2106
done106
0617
11917
2707
32247
43657
55317
614257
747847
done50007
056
186
2106
done106
056
186
2106
done106
044
154
done54
044
154
done54
033
143
done43
056
186
2106
done106
056
186
2106
done106
045
175
295
done95
045
175
295
done95
045
175
295
done95
068
1117
2147
done147
067
197
2157
3167
done167
056
1116
2186
3256
4266
done266
056
1106
2206
3386
4806
51826
64466
712986
846726
done50006
0817
12117
27311
32007
44167
511627
639227
done50007
0817
12217
2699
31967
44417
512437
641927
done50007
0613
1913
21113
done1113
056
186
2106
done106
0617
11917
2707
32247
43657
55317
614257
747847
done50007
056
186
2106
done106
056
186
2106
done106
044
154
done54
044
154
done54
033
143
done43
056
186
2106
done106
056
186
2106
done106
045
175
295
done95
0810
1149
2319
3429
4449
done449
089
1129
2269
3439
4539
done539
078
1148
2278
3438
4558
5598
done598
078
1148
2278
3438
4558
5598
done598
033
161
done61
033
161
done61
033
161
done61
0811
11511
22411
34811
410411
526111
687611
7331011
done500011
078
1148
2218
3398
4788
51838
65578
721778
done50018
067
1165
2255
3365
4605
51225
63325
712625
done50005
033
1113
2173
3273
4503
51133
63273
712463
done50003
045
1145
2353
3683
41433
53593
611793
done50013
0511
11511
24211
3849
4957
51287
62267
75147
815187
done50007
078
1238
2908
33368
48968
524918
done50008
078
1218
2808
33158
48418
528238
done50008
0817
12111
27211
32619
45937
516007
done50007
078
1215
2725
32545
45675
515735
done50005
0823
12615
21219
310129
done50009
033
1113
2173
3273
4503
51133
63273
712463
done50003
045
1145
2353
3683
41433
53593
611793
done50013
0511
11511
24211
3849
4957
51287
62267
75147
815187
done50007
078
1218
2738
32558
45658
515768
done50008
078
1218
2738
32558
45658
515768
done50008
089
1167
2247
3347
4557
51197
63317
712707
done50007
089
1167
2247
3347
4557
51197
63317
712707
done50007
055
1115
2275
3325
4385
5485
6705
71295
83465
912725
done50005
055
1115
2275
3325
4385
5485
6705
71295
83465
912725
done50005
055
1115
2275
3325
4385
5485
6705
71295
83465
912725
done50005
055
1115
2275
3325
4385
5485
6705
71295
83465
912725
done50005
055
1115
2275
3325
4385
5485
6705
71295
83465
912725
done50005
055
1115
2275
3325
4385
5485
6705
71295
83465
912725
done50005
055
1115
2275
3325
4385
5485
6705
71295
83465
912725
done50005
055
1115
2275
3325
4385
5485
6705
71295
83465
912725
done50005
055
1115
2275
3325
4385
5485
6705
71295
83465
912725
done50005
055
1115
2245
3695
41845
55315
617515
done50015
055
1115
2245
3695
41845
55315
617515
done50015
055
1115
2245
3695
41845
55315
617515
done50015

prune303.0ms

Filtered
68 candidates to 94 candidates (-38.2%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New94094
Fresh000
Picked011
Done022
Total94397

Merged error: 0b

Counts
97 → 3

regimes67.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify8.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01634
12634
22934
33634
43834
done3834

end0.0ms

sample1.3s

Algorithm
intervals
Results
497.0ms8000×body80valid
467.0ms8034×body80nan

Profiling

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