Details

Time bar (total: 32.3min)

sample40.0ms

Algorithm
intervals
Results
25.0ms256×body80valid

simplify2.1s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02937
15537
213737
333037
4101737
5398937
done500137

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 25.7b

Counts
2 → 1

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x)
0.1b
(* (+ (* (+ x 43.3400022514) x) 263.505074721) x)
0.1b
(* (+ (* x 4.16438922228) 78.6994924154) x)
24.9b
(/ (* (- x 2.0) (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z)) (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
15×add-exp-log add-cbrt-cube
12×add-cube-cbrt *-un-lft-identity
10×pow1
associate-*r* associate-*l*
associate-*l/ associate-/l/
flip3-+ flip-+
frac-times prod-exp cbrt-unprod add-log-exp
flip3-- times-frac pow-prod-down associate-/r* *-commutative flip-- unswap-sqr
cbrt-undiv associate-*r/ div-exp associate-/r/
frac-2neg clear-num div-inv associate-/l*
Counts
4 → 91
Calls
4 calls:
15.0ms
(* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x)
11.0ms
(* (+ (* (+ x 43.3400022514) x) 263.505074721) x)
8.0ms
(* (+ (* x 4.16438922228) 78.6994924154) x)
36.0ms
(/ (* (- x 2.0) (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z)) (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))

series70.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x)
4.0ms
(* (+ (* (+ x 43.3400022514) x) 263.505074721) x)
7.0ms
(* (+ (* x 4.16438922228) 78.6994924154) x)
53.0ms
(/ (* (- x 2.0) (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z)) (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))

simplify3.7min

Counts
103 → 103
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
03240
15440
210940
320540
442840
583340
6116540
7128540
8163640
9274840
done500040
03139
16039
214139
332539
491839
5337239
done500039
03038
15938
214938
335838
4106938
5406438
done500038
03038
15638
213838
333838
4104438
5410438
done500038
035113
191113
236543
3170543
done500143
033113
187113
236741
3191939
done500139
03177
15777
213977
333277
4102177
5400877
done500077
03038
15638
213838
333338
4102038
5399438
done500038
031113
164113
219539
379739
done500139
03038
15638
213838
333338
4102038
5399438
done500038
03038
15638
213838
333338
4102038
5399438
done500038
01822
13922
211122
332922
4118321
done500221
01316
12316
25416
311516
431816
594116
6206016
7308616
done500016
01737
13137
26237
311137
422337
542037
658137
763137
879637
9131437
10329637
done500037
02734
14234
28934
317934
440034
580934
6113234
7123234
8156134
9269434
done500034
01620
12820
25420
310020
420720
540620
656320
761120
876920
9129020
10327820
done500020
02734
14234
28934
317934
440034
580934
6113234
7123234
8156134
9269434
done500034
055
1123
2173
done173
02633
14133
28833
317833
439733
580233
6117333
7127733
8161633
9274233
done500033
01417
12317
24617
39017
419917
540117
655317
760517
876617
9127817
10326417
done500017
02937
15537
213237
330937
489637
5334237
done500037
03155
16255
215755
337755
4114655
5456555
done500055
03038
15638
213838
333338
4102038
5399238
done500038
01923
14021
210321
326621
483221
5319921
done500021
02633
14133
28833
317833
439933
580733
6117333
7127733
8160833
9272733
done500033
03241
17441
219341
354041
4199041
done500141
03153
16853
219553
357353
4211353
done500053
03781
18477
230177
3153063
done500163
03345
16043
216943
364443
4339643
done500043
03373
17571
226071
3106857
done500057
02937
15037
214037
344037
4184537
done500037
03069
16867
221767
382253
4421553
done500053
02633
14333
210533
326033
498533
done500033
01927
14025
211525
333725
4124925
done500025
01519
13019
27819
318419
460319
5255819
done500019
067
197
2177
3207
done207
089
1119
done119
078
1138
2228
3258
done258
078
1128
2308
3488
4838
51738
64568
713298
848318
done50008
01023
13123
210711
337511
414279
done50009
0817
11117
21917
32217
done2217
078
1108
2188
3218
done218
0823
12123
2829
33119
48779
523379
done50019
078
1108
2188
3218
done218
078
1108
2188
3218
done218
089
1119
done119
089
1119
done119
0811
11311
22311
34311
45911
56111
done6111
078
1108
2188
3268
done268
077
1125
2235
3395
4495
done495
078
1108
done108
078
1108
done108
067
197
2177
3207
done207
0911
12811
27411
318611
440511
5120211
done500011
0813
12213
25013
310413
422213
536613
659613
7112913
8411113
done500113
079
1119
2269
3449
4689
5739
6799
7899
81109
91689
103739
1112879
done50009
0911
11311
22011
32811
43011
done3011
0810
11510
23110
34910
47510
58010
68610
79610
811910
918410
1039710
11130310
done500010
0810
11410
23910
37610
415810
527910
666610
7205710
done500010
01129
13329
211513
345613
4235311
done500011
0921
11321
22821
34621
47221
57721
68321
79321
811621
917721
1038921
11131621
done500021
0810
11210
22710
34510
47310
57810
68410
79410
811510
917710
1038010
11130610
done500010
0929
12329
29011
335411
4136911
done500011
0810
11210
22710
34510
47310
57810
68410
79410
811510
917710
1038010
11130610
done500010
0810
11210
22710
34510
47310
57810
68410
79410
811510
917710
1038010
11130610
done500010
0911
11311
22011
32811
43011
done3011
0911
11311
22011
32811
43011
done3011
0913
11513
23213
36813
414013
518813
619413
done19413
0810
11210
22710
35110
48910
done8910
089
1147
2327
3647
41167
51307
done1307
0810
11210
21910
32710
43110
done3110
0810
11210
21910
32710
43110
done3110
079
1119
2269
3449
4689
5739
6799
7899
81109
91689
103739
1112879
done50009
01013
13013
28213
325513
477313
5272413
done500013
0917
12417
27017
319917
463217
5184717
done500017
01013
11613
23913
37513
416613
528913
634813
739813
855813
9106913
10303513
done500013
01215
11815
23315
35915
410115
514215
614815
715815
817915
924415
1045415
11139615
done500015
01114
12014
24414
38014
417314
529414
635114
739914
856314
9106614
10306014
done500014
01114
11914
25214
310714
427514
558814
6129814
7415814
done500014
01441
13841
212817
349417
4289715
done500115
01229
11829
24129
37729
416829
529129
634829
739829
856129
9106829
10306329
done500029
01114
11714
24014
37614
416514
528814
634514
739314
855114
9106214
10304214
done500114
01241
12841
210315
338515
4164115
done500015
01114
11714
24014
37614
416514
528814
634514
739314
855114
9106214
10304214
done500114
01114
11714
24014
37614
416514
528814
634514
739314
855114
9106214
10304214
done500114
01215
11815
23315
35915
410115
514215
614815
715815
817915
924415
1045415
11139615
done500015
01215
11815
23315
35915
410115
514215
614815
715815
817915
924415
1045415
11139615
done500015
01217
12017
24517
39917
426517
556817
678817
783317
892517
9121017
10224917
done500017
01114
11714
24014
38214
421014
535114
638114
740114
844614
959214
10113014
11344014
done500114
01113
11911
24511
39511
423911
538211
642411
744911
849311
960011
1088711
11201811
done500011
01114
11714
23214
35814
410214
514114
614714
715714
817814
924214
1045414
11138514
done500014
01114
11714
23214
35814
410214
514114
614714
715714
817814
924214
1045414
11138514
done500014
01013
11613
23913
37513
416613
528913
634813
739813
855813
9106913
10303513
done500013
01317
13517
29517
331017
4128617
done500017
01225
12925
28725
328225
4107725
5499925
done500025
01416
13216
28014
315114
421414
525414
634014
755614
883314
9176114
done500014
01011
12111
24011
35111
46311
58611
613311
722211
845711
9138211
done500011
01011
12111
24011
35111
46311
58611
613311
722211
845711
9138211
done500011
089
1169
2329
3379
4477
5597
6817
71427
83537
912817
done50007
089
1169
2329
3379
4477
5597
6817
71427
83537
912817
done50007
089
1169
2329
3379
4477
5597
6817
71427
83537
912817
done50007
01113
12813
26213
38511
41329
52159
64499
714389
done50019
01113
12813
26213
38511
41329
52159
64499
714389
done50019
01113
12813
26213
38511
41329
52159
64499
714389
done50019
01315
13115
27715
311013
418013
534811
688311
7324911
done500011
01315
13315
28915
314613
427211
557211
6162711
done500011
01315
13315
28915
314613
427211
557211
6162711
done500011

prune294.0ms

Filtered
83 candidates to 103 candidates (-24.1%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New976103
Fresh000
Picked101
Done000
Total986104

Merged error: 0b

Counts
104 → 6

localize33.0ms

Local error

Found 4 expressions with local error:

6.4b
(sqrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))
16.6b
(/ (- x 2.0) (sqrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606)))
16.7b
(* (/ (- x 2.0) (sqrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))) (/ (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z) (sqrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))))
20.6b
(/ (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z) (sqrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606)))

rewrite151.0ms

Algorithm
rewrite-expression-head
Rules
126×add-sqr-sqrt
108×times-frac
95×*-un-lft-identity
69×add-cube-cbrt
63×sqrt-prod
36×associate-*l*
24×associate-*r*
20×add-exp-log add-cbrt-cube
13×distribute-lft-out-- difference-of-squares
12×associate-/r*
10×sqrt-div
unswap-sqr
associate-/r/ associate-/l*
pow1
cbrt-undiv flip3-+ div-exp flip-+
prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp
frac-2neg clear-num
frac-times rem-sqrt-square flip3-- sqrt-pow1 pow1/2 div-sub associate-*r/ pow-prod-down associate-*l/ *-commutative flip--
Counts
4 → 205
Calls
4 calls:
14.0ms
(sqrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))
21.0ms
(/ (- x 2.0) (sqrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606)))
72.0ms
(* (/ (- x 2.0) (sqrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))) (/ (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z) (sqrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))))
33.0ms
(/ (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z) (sqrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606)))

series131.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(sqrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))
10.0ms
(/ (- x 2.0) (sqrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606)))
49.0ms
(* (/ (- x 2.0) (sqrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))) (/ (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z) (sqrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))))
64.0ms
(/ (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z) (sqrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606)))

simplify14.0min

Counts
217 → 217
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
02936
14636
29436
318436
440736
581436
6116836
7127036
8160636
9272636
done500036
02835
14635
29535
318635
440735
581835
6118535
7128535
8162335
9272635
done500035
02835
14335
29035
318035
439535
580635
6116735
7127135
8161335
9273835
done500035
031104
16786
220138
361736
4277136
done500036
02971
14471
29171
318171
440271
581371
6115271
7125671
8159471
9272871
done500171
02835
14335
29035
318035
439535
580635
6116735
7127135
8161335
9273835
done500035
029104
151104
213036
332436
4109936
done500136
02835
14335
29035
318035
439535
580635
6116735
7127135
8161335
9273835
done500035
02835
14335
29035
318035
439535
580635
6116735
7127135
8161335
9273835
done500035
01518
12618
25818
312218
433218
595818
6209718
7309818
done500018
01417
12117
24417
38817
419917
540417
657717
762517
878617
9129717
10329817
done500117
03173
15273
210873
320473
441973
582273
6112373
7121973
8155373
9267973
done500173
02936
14436
29136
318136
440036
580736
6113236
7122836
8155936
9267236
done500036
03172
14955
29855
318955
440855
581755
6110655
7120255
8154455
9267855
done500055
02936
14436
29136
318136
440036
580736
6113236
7122836
8155936
9267236
done500036
03055
14755
29655
318755
440655
581355
6112655
7122855
8156255
9269355
done500055
02936
14436
29136
318136
440036
580736
6113236
7122836
8155936
9267236
done500036
01940
13139
25739
310537
422637
542937
658737
761637
869637
994737
10178637
done500037
02835
14335
29035
318035
439935
580835
6119435
7129835
8163335
9276435
done500135
03055
14755
29655
318755
440655
581355
6112655
7122855
8156255
9269355
done500055
02936
14436
29136
318136
440036
580736
6113236
7122836
8155936
9267236
done500036
01839
13037
26037
311237
422637
543137
658137
761037
868837
994437
10177337
done500037
02835
14335
29035
318035
439935
580835
6119435
7129835
8163335
9276435
done500135
03054
14754
29454
318454
440754
581654
6115554
7126154
8161354
9274654
done500054
02936
14436
29136
318136
440036
580736
6113236
7122836
8155936
9267236
done500036
03053
14636
29336
318336
440436
580536
6114036
7123836
8158236
9272136
done500036
02936
14436
29136
318136
440036
580736
6113236
7122836
8155936
9267236
done500036
02936
14436
29136
318136
440036
580736
6113236
7122836
8155936
9267236
done500036
02936
14436
29136
318136
440036
580736
6113236
7122836
8155936
9267236
done500036
01821
12820
25220
39920
421120
541620
656620
759520
867320
992120
10174620
done500120
02835
14335
29035
318035
439935
580835
6119435
7129835
8163335
9276435
done500135
02936
14436
29136
318136
440036
580736
6113236
7122836
8155936
9267236
done500036
02936
14436
29136
318136
440036
580736
6113236
7122836
8155936
9267236
done500036
01720
12718
25318
310018
421418
542518
657518
760418
868218
993618
10177518
done500018
02835
14335
29035
318035
439935
580835
6119435
7129835
8163335
9276435
done500135
01737
12837
25137
39537
420437
540437
655237
759837
875637
9126337
10325737
done500037
02835
14335
29035
318035
439535
580635
6116735
7127135
8161335
9273835
done500035
01736
12719
25019
39419
420319
540719
655619
760619
876919
9127919
10329119
done500119
02835
14335
29035
318035
439535
580635
6116735
7127135
8161335
9273835
done500035
01619
12519
24819
39219
420519
541719
657919
763119
879519
9130919
10329319
done500019
02835
14335
29035
318035
439535
580635
6116735
7127135
8161335
9273835
done500035
034
153
done53
02734
14234
28934
317934
440034
580934
6113234
7123234
8156134
9269434
done500034
01619
12519
24819
39219
420519
541719
657919
763119
879519
9130919
10329319
done500019
02835
14335
29035
318035
439535
580635
6116735
7127135
8161335
9273835
done500035
023
141
done41
02734
14234
28934
317934
440034
580934
6113234
7123234
8156134
9269434
done500034
01518
12418
24718
39118
420018
540418
655818
760818
876418
9127418
10329318
done500018
02734
14234
28934
317934
440034
580134
6113534
7123134
8157334
9269734
done500134
02953
14653
29353
318353
440653
581153
6115553
7125953
8159553
9273453
done500053
02952
14535
29235
318235
440135
581035
6119335
7129335
8163435
9274635
done500035
02835
14335
29035
318035
439535
580635
6116735
7127135
8161335
9273835
done500035
01720
12719
25119
39819
421019
541519
657019
759919
867519
992119
10174719
done500019
02835
14335
29035
318035
439535
580635
6116735
7127135
8161335
9273835
done500035
01619
12617
25217
39917
420917
541217
655117
758017
866017
991417
10173617
done500017
02835
14335
29035
318035
440335
580635
6116435
7126435
8160035
9272935
done500135
02835
14335
29035
318035
440335
580635
6116435
7126435
8160035
9272935
done500135
02734
14234
28934
317934
440034
580134
6113534
7123134
8157334
9269734
done500134
03038
16138
214538
339138
4139838
done500238
02950
15550
213550
335850
4125250
done500150
03170
16968
219468
359954
4224154
done500054
02734
14434
29834
321334
453034
5126334
6215234
7278734
8474834
done500034
03155
15655
212255
329255
484437
5281737
done500037
03459
15959
212959
326659
455544
5102143
6139943
7153243
8188243
9301343
done500043
03458
15858
212358
325058
453758
5100243
6136343
7149843
8183643
9295643
done500043
03458
16158
212558
325158
453158
5103443
6139743
7153743
8188743
9303143
done500043
03357
15957
212057
323857
450757
599144
6140543
7155743
8191943
9302343
done500043
03256
16056
213456
332456
493138
5300138
done500038
03256
15956
213456
331656
490438
5304638
done500038
037167
188131
234063
3181759
done500059
037167
175149
226461
3108559
done500159
037167
190149
231561
3140259
done500159
035167
174167
222559
380459
4452439
done500039
033113
158113
2124113
3294113
484477
5282077
done500177
03256
15756
212356
329356
484338
5282238
done500038
033167
168167
220357
380457
4424439
done500039
03256
15756
212356
329356
484338
5282238
done500038
03256
15756
212356
329356
484338
5282238
done500038
01721
13421
28621
322021
469721
5296921
done500021
01433
12115
24515
38915
420015
540915
657715
762715
879215
9130415
10331115
done500115
03357
15457
210457
319657
441557
581657
6113557
7123157
8156857
9270257
done500057
03357
15457
210457
319657
441557
581657
6113557
7123157
8156857
9270257
done500057
03458
15758
211058
320658
442458
581958
6113758
7123158
8156158
9267658
done500058
03458
15758
211058
320658
442458
581958
6113758
7123158
8156158
9267658
done500058
03458
15758
211058
320658
442458
581958
6113758
7123158
8156158
9267658
done500058
03458
15758
211058
320658
442458
581958
6113758
7123158
8156158
9267658
done500058
03458
15458
210558
319758
442058
581658
6112958
7122758
8156158
9270258
done500058
03458
15458
210558
319758
442058
581658
6112958
7122758
8156158
9270258
done500058
03459
15659
211259
321459
444540
584240
6115540
7125740
8159440
9270440
done500040
03459
15659
211259
321459
444540
584240
6115540
7125740
8159440
9270440
done500040
03459
15659
211259
321459
444540
584240
6115540
7125740
8159440
9270440
done500040
03459
15659
211259
321459
444540
584240
6115540
7125740
8159440
9270440
done500040
03458
15458
210558
319758
442058
581658
6112958
7122758
8156158
9270258
done500058
03458
15458
210558
319758
442058
581658
6112958
7122758
8156158
9270258
done500058
03459
15659
211259
321459
444540
584240
6115540
7125740
8159440
9270440
done500040
03459
15659
211259
321459
444540
584240
6115540
7125740
8159440
9270440
done500040
03459
15659
211259
321459
444540
584240
6115540
7125740
8159440
9270440
done500040
03459
15659
211259
321459
444540
584240
6115540
7125740
8159440
9270440
done500040
03392
15892
211692
323992
451192
597392
6133792
7147692
8183692
9297592
done500092
03256
15556
210856
321956
445256
587656
6120456
7131056
8164956
9276856
done500056
03594
16694
215794
338894
4102194
5207894
6321894
7412394
8493694
done500194
03693
16476
213276
329976
471076
5135176
6197576
7235576
8280876
9396576
done500076
03476
16176
212976
329676
470776
5135876
6196076
7234476
8279676
9393776
done500076
03561
16460
213260
329958
470158
5133958
6201658
7233058
8276358
9388358
done500058
03476
16176
212976
329676
470776
5135876
6196076
7234476
8279676
9393776
done500076
03460
16358
213958
334258
475558
5135958
6187758
7217258
8257958
9370558
done500158
03475
16175
213075
329875
467475
5128775
6183875
7212275
8254775
9367475
done500075
03574
16157
212057
325557
454757
5102757
6142957
7159257
8194957
9307557
done500057
03357
15857
211757
325257
454457
5103257
6141357
7157457
8191957
9305557
done500057
03442
16141
212041
325539
458039
5110939
6158439
7173539
8208039
9322039
done500039
03357
15857
211757
325257
454457
5103257
6141357
7157457
8191957
9305557
done500057
03341
16039
212339
326739
456039
5103239
6141139
7155639
8191039
9306139
done500039
02158
14258
28656
323556
456256
5103556
6154656
7190956
8234956
9291656
10488756
done500056
02257
14240
27738
318738
439238
572638
6105838
7119738
8143838
9196838
10397438
done500038
02040
13940
27438
318438
438938
571938
6104338
7117938
8140638
9193638
10392938
done500038
02025
13924
27322
318620
454020
582820
6106820
7119020
8143620
9195820
10377420
done500020
02040
13940
27438
318438
438938
571938
6104338
7117938
8140638
9193638
10392938
done500038
01924
13822
27420
316420
432920
558520
680220
792920
8111320
9148020
10292320
done500120
01822
13520
27120
313720
426720
549220
668120
774220
886420
9128520
10285320
done500020
03038
15938
213338
333438
4104238
5379638
done500138
03659
17859
218259
351759
4186759
done500159
03571
17171
217071
347671
4171171
done500271
03256
15556
211656
322856
455456
5134356
6261756
7378356
done500056
03256
15556
211656
322856
455456
5134356
6261756
7378356
done500056
03357
15557
212057
325557
464957
5171457
6407657
done500057
03457
15657
212157
325657
465057
5172057
6406257
done500157
03357
15557
212057
325557
464957
5171457
6407657
done500057
03256
15456
211856
324856
463138
5165738
6368638
done500038
03357
15557
212057
325557
464957
5171457
6407657
done500057
03256
15456
211856
324856
463138
5165738
6368638
done500038
03357
15557
212057
325557
464957
5171457
6407657
done500057
03457
15657
212157
325657
465057
5172057
6406257
done500157
03357
15557
212057
325557
464957
5171457
6407657
done500057
03256
15456
211856
324856
463138
5165738
6368638
done500038
03357
15557
212057
325557
464957
5171457
6407657
done500057
03256
15456
211856
324856
463138
5165738
6368638
done500038
03256
15756
212456
329956
485956
5289856
done500056
03356
15856
212556
330056
486056
5288456
done500056
03256
15756
212456
329956
485956
5289856
done500056
03155
15655
212255
329255
484437
5281737
done500037
03256
15756
212456
329956
485956
5289856
done500056
03155
15655
212255
329255
484437
5281737
done500037
03458
15958
212658
330158
486758
5291558
done500058
03558
16058
212758
330258
486858
5291458
done500058
03458
15958
212658
330158
486758
5291558
done500058
03357
15857
212457
329457
484439
5283639
done500039
03458
15958
212658
330158
486758
5291558
done500058
03357
15857
212457
329457
484439
5283639
done500039
03256
15756
212456
329956
485956
5289856
done500056
03356
15856
212556
330056
486056
5288456
done500056
03256
15756
212456
329956
485956
5289856
done500056
03155
15655
212255
329255
484437
5281737
done500037
03256
15756
212456
329956
485956
5289856
done500056
03155
15655
212255
329255
484437
5281737
done500037
03155
15655
212255
329255
484437
5281737
done500037
03053
15253
211551
329051
479833
5214733
6466033
done500033
03483
16981
217881
348469
4174969
done500069
03051
15051
210951
323151
458351
5149151
6297151
7441051
done500051
03038
15938
213338
333438
4104238
5379638
done500138
03038
15038
211538
326138
471138
5226838
done500038
01822
12922
25422
39822
420722
540822
656722
761522
877522
9128722
10330322
done500122
01721
13221
26021
310721
421421
541721
658421
763221
879121
9129921
10329821
done500021
01721
12921
25821
310621
421421
542421
659221
765421
881521
9132521
10332621
done500021
02062
13844
211824
331222
488922
5297422
done500022
01843
13043
25643
310243
421143
541643
657843
762443
878343
9129743
10330843
done500043
01721
12921
25521
310121
421021
541321
656921
761921
877921
9130321
10333121
done500021
01862
13762
29122
326122
476122
5223322
done500022
01721
12921
25521
310121
421021
541321
656921
761921
877921
9130321
10333121
done500021
01721
12921
25521
310121
421021
541321
656921
761921
877921
9130321
10333121
done500021
044
164
2104
3124
4133
done133
01417
12117
24417
38817
419917
540417
657717
762517
878617
9129717
10329817
done500117
01418
12118
24418
38818
419918
540418
657718
762518
878618
9129718
10329818
done500118
01518
12218
24518
38918
419818
540518
656818
761818
878518
9130118
10331618
done500018
02045
13545
26845
311845
422545
542245
660445
765045
881145
9133245
10330845
done500045
01822
12722
25122
39522
420222
540122
655322
760322
876822
9126522
10326222
done500122
02044
13227
25827
310327
421227
541327
658127
762927
879427
9130627
10330527
done500027
01822
12722
25122
39522
420222
540122
655322
760322
876822
9126522
10326222
done500122
01927
13027
25627
310127
421427
541527
657427
762427
878827
9130527
10332127
done500027
01822
12722
25122
39522
420222
540122
655322
760322
876822
9126522
10326222
done500122
0812
11411
21711
3189
4259
done259
01721
12621
25021
39421
420521
540821
656021
760621
876621
9128421
10326421
done500021
01927
13027
25627
310127
421427
541527
657427
762427
878827
9130527
10332127
done500027
01822
12722
25122
39522
420222
540122
655322
760322
876822
9126522
10326222
done500122
0711
1139
2209
3259
done259
01721
12621
25021
39421
420521
540821
656021
760621
876621
9128421
10326421
done500021
01940
13040
25440
39840
420740
540840
657140
762140
878640
9129540
10330540
done500040
01822
12722
25122
39522
420222
540122
655322
760322
876822
9126522
10326222
done500122
01939
12922
25322
39722
420622
540722
656922
761722
878222
9129422
10332822
done500122
01822
12722
25122
39522
420222
540122
655322
760322
876822
9126522
10326222
done500122
01822
12722
25122
39522
420222
540122
655322
760322
876822
9126522
10326222
done500122
01822
12722
25122
39522
420222
540122
655322
760322
876822
9126522
10326222
done500122
077
1116
2126
done126
01721
12621
25021
39421
420521
540821
656021
760621
876621
9128421
10326421
done500021
01822
12722
25122
39522
420222
540122
655322
760322
876822
9126522
10326222
done500122
01822
12722
25122
39522
420222
540122
655322
760322
876822
9126522
10326222
done500122
066
1104
2134
done134
01721
12621
25021
39421
420521
540821
656021
760621
876621
9128421
10326421
done500021
01737
12837
25137
39537
420437
540437
655237
759837
875637
9126337
10325737
done500037
01721
12921
25521
310121
421021
541321
656921
761921
877921
9130321
10333121
done500021
01736
12719
25019
39419
420319
540719
655619
760619
876919
9127919
10329119
done500119
01721
12921
25521
310121
421021
541321
656921
761921
877921
9130321
10333121
done500021
01619
12519
24819
39219
420519
541719
657919
763119
879519
9130919
10329319
done500019
01721
12921
25521
310121
421021
541321
656921
761921
877921
9130321
10333121
done500021
034
153
done53
01620
12820
25420
310020
420720
540620
656320
761120
876920
9129020
10327820
done500020
01619
12519
24819
39219
420519
541719
657919
763119
879519
9130919
10329319
done500019
01721
12921
25521
310121
421021
541321
656921
761921
877921
9130321
10333121
done500021
023
141
done41
01620
12820
25420
310020
420720
540620
656320
761120
876920
9129020
10327820
done500020
02041
13041
25341
39741
421041
540941
657741
762741
879241
9130541
10329241
done500141
01923
13123
25723
310323
421423
540923
657123
762123
878523
9129823
10330923
done500023
02040
12923
25223
39623
420923
540823
657023
762223
878423
9130023
10330523
done500023
01923
13123
25723
310323
421423
540923
657123
762123
878523
9129823
10330923
done500023
01923
12723
25023
39423
420523
540223
656223
761023
877523
9128523
10328323
done500123
01923
13123
25723
310323
421423
540923
657123
762123
878523
9129823
10330923
done500023
088
1117
done117
01822
13022
25622
310222
421522
541622
657322
762322
878322
9130122
10329922
done500022
01923
12723
25023
39423
420523
540223
656223
761023
877523
9128523
10328323
done500123
01923
13123
25723
310323
421423
540923
657123
762123
878523
9129823
10330923
done500023
077
1105
2125
done125
01822
13022
25622
310222
421522
541622
657322
762322
878322
9130122
10329922
done500022
01737
12837
25137
39537
420437
540437
655237
759837
875637
9126337
10325737
done500037
01721
12921
25521
310121
421021
541321
656921
761921
877921
9130321
10333121
done500021
01736
12719
25019
39419
420319
540719
655619
760619
876919
9127919
10329119
done500119
01721
12921
25521
310121
421021
541321
656921
761921
877921
9130321
10333121
done500021
01619
12519
24819
39219
420519
541719
657919
763119
879519
9130919
10329319
done500019
01721
12921
25521
310121
421021
541321
656921
761921
877921
9130321
10333121
done500021
034
153
done53
01620
12820
25420
310020
420720
540620
656320
761120
876920
9129020
10327820
done500020
01619
12519
24819
39219
420519
541719
657919
763119
879519
9130919
10329319
done500019
01721
12921
25521
310121
421021
541321
656921
761921
877921
9130321
10333121
done500021
023
141
done41
01620
12820
25420
310020
420720
540620
656320
761120
876920
9129020
10327820
done500020
01518
12418
24718
39118
420018
540418
655818
760818
876418
9127418
10329318
done500018
01620
12520
24920
39320
420220
540920
657520
762320
878320
9130020
10330220
done500020
01839
13239
26339
311239
422239
542139
658939
763939
880039
9131939
10333639
done500039
01838
13121
25721
310321
421021
541321
657321
761921
878021
9129221
10328321
done500021
01721
12921
25521
310121
421021
541321
656921
761921
877921
9130321
10333121
done500021
066
1135
2165
3183
4233
5273
done273
01721
12921
25521
310121
421021
541321
656921
761921
877921
9130321
10333121
done500021
055
1123
2173
done173
01721
12621
25021
39421
420121
540621
657121
762121
878121
9130221
10330121
done500021
01721
12621
25021
39421
420121
540621
657121
762121
878121
9130221
10330121
done500021
01620
12520
24920
39320
420220
540920
657520
762320
878320
9130020
10330220
done500020
01822
12722
25122
39522
420222
540522
657222
762022
878722
9130722
10329722
done500022
01620
12520
24920
39320
420220
540920
657520
762320
878320
9130020
10330220
done500020
01924
14724
211024
331124
4119624
done500124
01836
14136
210036
327736
4105836
done500036
02028
14126
29226
316426
427826
548926
665326
770526
887226
9140126
10343526
done500026
01620
13120
25520
39920
420620
540720
657920
762520
878320
9130520
10331020
done500020
01417
12117
24417
38817
419917
540417
657717
762517
878617
9129717
10329817
done500117
01417
12117
24417
38817
419917
540417
657717
762517
878617
9129717
10329817
done500117
01535
12235
24535
38935
420035
540935
657835
762635
878735
9130335
10330435
done500035
01417
12117
24417
38817
419917
540417
657717
762517
878617
9129717
10329817
done500117
01550
12332
25718
312218
432418
582518
6139918
7169318
8226518
9457118
done500118
01534
12317
24617
39017
419917
540617
657217
762017
877917
9130117
10329817
done500017
01417
12117
24417
38817
419917
540417
657717
762517
878617
9129717
10329817
done500117
01417
12117
24417
38817
419917
540417
657717
762517
878617
9129717
10329817
done500117
01417
12117
24417
38817
419917
540417
657717
762517
878617
9129717
10329817
done500117
022
141
done41
01316
12016
24316
38716
419616
540116
657516
762316
878816
9129916
10329616
done500016
01620
13920
29920
329720
4117120
done500020
01748
14046
211446
334634
4136634
done500134
01532
13332
28932
326432
4104632
done500132
01316
12116
24516
39316
420816
543916
668916
796016
8192916
9497516
done500016
033
161
done61
01417
12117
24417
38817
419917
540417
657717
762517
878617
9129717
10329817
done500117
01417
12117
24417
38817
419917
540417
657717
762517
878617
9129717
10329817
done500117
01520
13320
27317
310614
413412
515412
617812
724212
844712
9138912
done500012
01113
12313
25213
36313
48111
510711
616011
727911
854911
9150111
done500111
01113
12313
25213
36313
48111
510711
616011
727911
854911
9150111
done500111
01416
13216
28014
315114
421414
525414
634014
755614
883314
9176114
done500014
01011
12111
24011
35111
46311
58611
613311
722211
845711
9138211
done500011
01011
12111
24011
35111
46311
58611
613311
722211
845711
9138211
done500011
02336
15736
216036
341936
4101926
5273123
done500023
01519
13819
29915
325415
483815
5286513
done500013
01519
13819
29915
325415
483815
5286513
done500013
01929
14829
214229
339422
4105322
5343717
done500117
089
1199
2387
3517
4637
5887
61337
72297
84717
914187
done50007
089
1199
2387
3517
4637
5887
61337
72297
84717
914187
done50007

prune995.0ms

Filtered
158 candidates to 217 candidates (-37.3%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New2161217
Fresh145
Picked011
Done000
Total2176223

Merged error: 0b

Counts
223 → 6

localize35.0ms

Local error

Found 4 expressions with local error:

16.5b
(sqrt (sqrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606)))
16.5b
(sqrt (sqrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606)))
16.6b
(/ (- x 2.0) (sqrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606)))
16.7b
(* (/ (- x 2.0) (sqrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))) (* (/ 1 (sqrt (sqrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606)))) (/ (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z) (sqrt (sqrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))))))

rewrite140.0ms

Algorithm
rewrite-expression-head
Rules
79×add-exp-log
74×add-sqr-sqrt
70×*-un-lft-identity
60×times-frac
53×sqrt-prod
47×add-cbrt-cube
44×add-cube-cbrt
36×associate-*l*
34×prod-exp
26×div-exp
18×cbrt-unprod
14×cbrt-undiv
13×pow1 distribute-lft-out-- difference-of-squares
12×sqrt-div
sqrt-pow1
associate-/r*
frac-times associate-*r/ associate-/l*
rem-sqrt-square rec-exp flip3-+ pow1/2 1-exp associate-/r/ flip-+ add-log-exp
pow-prod-down associate-*l/
div-inv associate-/l/
flip3-- frac-2neg div-sub associate-*r* clear-num *-commutative flip--
Counts
4 → 182
Calls
4 calls:
15.0ms
(sqrt (sqrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606)))
16.0ms
(sqrt (sqrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606)))
20.0ms
(/ (- x 2.0) (sqrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606)))
80.0ms
(* (/ (- x 2.0) (sqrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))) (* (/ 1 (sqrt (sqrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606)))) (/ (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z) (sqrt (sqrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))))))

series90.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(sqrt (sqrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606)))
12.0ms
(sqrt (sqrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606)))
10.0ms
(/ (- x 2.0) (sqrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606)))
56.0ms
(* (/ (- x 2.0) (sqrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))) (* (/ 1 (sqrt (sqrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606)))) (/ (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z) (sqrt (sqrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))))))

simplify12.2min

Counts
194 → 194
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
03576
16776
216374
349974
4196255
done500255
03576
16776
216374
349974
4196255
done500255
03880
16680
214979
336863
490262
5160762
6221462
7239462
8275262
9388162
done500062
03879
16579
214578
333578
482362
5152862
6233162
7255362
8290462
9403362
done500162
03981
17180
218279
353963
4157162
5289562
6374262
7389062
8422462
done500062
03980
17079
217278
346878
4142062
5275862
6365862
7381362
8416762
done500162
04082
17481
218479
351879
4164762
5303762
6391462
7406062
8433262
done500062
04081
17380
217179
346678
4140563
5272162
6366262
7383362
8416262
done500062
04081
17380
216779
347963
4137362
5253762
6339162
7354862
8389662
done500062
03980
17279
215978
340778
4119362
5226762
6358562
7374962
8410162
done500162
03879
17079
215877
340877
4122058
5324058
done500058
03779
16779
214278
332862
479961
5151061
6222761
7244561
8271061
9356761
done500161
03778
16678
213977
330677
475161
5145961
6222061
7247161
8279261
9366261
done500061
03880
17279
217378
347462
4134161
5271061
6373761
7388961
8423761
done500061
03879
17178
216477
341577
4125961
5256761
6359161
7375261
8408561
done500161
03981
17580
217478
345778
4140461
5285561
6386161
7401761
8428561
done500161
03980
17479
216378
340877
4123162
5252161
6356561
7372461
8398161
9483161
done500161
03980
17479
216078
342962
4118461
5244061
6340461
7355161
8381561
9466761
done500061
03879
17378
215377
337177
4105461
5215561
6363361
7382161
8408661
9494461
done500061
03778
17178
215576
339076
4114657
5337157
done500157
03677
17177
218175
356675
4224156
done500156
03677
17077
217775
354675
4222856
done500056
045230
1111170
244384
3318261
done500161
045230
198189
236782
3234180
done500061
045230
1111193
244886
3294177
done500061
043230
195212
235384
3187682
done500082
041230
189212
233780
3192478
done500078
043230
1110188
240682
3270580
done500080
043230
197207
233280
3181680
done500180
043230
1110211
241384
3237680
done500080
041230
194230
231482
3142082
done500080
039230
188230
229878
3146678
done500178
037155
169155
2161151
3496151
41971113
done5000113
03677
16877
216475
350075
4196256
done500156
037230
179230
227476
3162976
done500076
03677
16877
216475
350075
4196256
done500156
03677
16877
216475
350075
4196256
done500156
01923
14121
212421
328221
478121
5255321
done500021
01652
12633
25215
39915
422015
543615
662015
773015
8109615
9234215
done500015
03341
16441
216839
349739
4158139
done500139
01534
12334
24634
39034
419934
540634
657234
762034
877934
9130134
10329834
done500034
03341
15839
214839
332639
492839
5277639
done500039
01534
12334
24634
39034
419934
540634
657234
762034
877934
9130134
10329834
done500034
02040
13940
27438
318438
438938
571938
6104338
7117938
8140638
9193638
10392938
done500038
03677
16677
215075
339475
4113956
5340256
done500056
03677
16677
215075
339475
4113956
5340256
done500056
03778
16678
216076
346576
4160657
done500057
03878
16778
215776
346476
4160957
done500257
03678
16578
215976
345376
4140957
5428242
done500042
03677
16577
215975
346775
4160456
5499756
done500056
03678
16578
215976
345376
4140957
5428242
done500042
03677
16577
215975
346775
4160456
5499756
done500056
03778
16678
216076
346576
4160657
done500057
03878
16778
215776
346476
4160957
done500257
03678
16578
215976
345376
4140957
5428242
done500042
03677
16577
215975
346775
4160456
5499756
done500056
03678
16578
215976
345376
4140957
5428242
done500042
03677
16577
215975
346775
4160456
5499756
done500056
03677
16877
216475
350075
4196456
done500056
03777
16977
216575
350275
4197956
done500156
03577
16777
216375
348875
4176556
done500056
03576
16776
216374
349974
4196255
done500255
03577
16777
216375
348875
4176556
done500056
03576
16776
216374
349974
4196255
done500255
03879
17079
216277
349977
4196958
done500158
03979
17179
216577
350177
4197758
done500058
03779
16979
216577
349577
4177858
done500058
03778
16978
216576
350276
4197257
done500057
03779
16979
216577
349577
4177858
done500058
03778
16978
216576
350276
4197257
done500057
03677
16877
216475
350075
4196456
done500056
03777
16977
216575
350275
4197956
done500156
03577
16777
216375
348875
4176556
done500056
03576
16776
216374
349974
4196255
done500255
03577
16777
216375
348875
4176556
done500056
03576
16776
216374
349974
4196255
done500255
03576
16776
216374
349974
4196255
done500255
03374
16074
215270
344370
4129251
5348433
done500033
038104
180102
2210100
365188
4232369
done500069
03472
16172
214170
339770
4116751
5355351
done500051
03240
16638
218938
346238
4128438
5450238
done500038
03458
17058
218656
360656
4229056
done500156
03458
16456
216156
338456
4115256
5392556
done500056
03459
16159
214757
343357
4144138
5480338
done500038
01822
12922
25422
39822
420722
540822
656722
761522
877522
9128722
10330322
done500122
01721
13221
26021
310721
421421
541721
658421
763221
879121
9129921
10329821
done500021
01721
12921
25821
310621
421421
542421
659221
765421
881521
9132521
10332621
done500021
02062
13844
211824
331222
488922
5297422
done500022
01843
13043
25643
310243
421143
541643
657843
762443
878343
9129743
10330843
done500043
01721
12921
25521
310121
421021
541321
656921
761921
877921
9130321
10333121
done500021
01862
13762
29122
326122
476122
5223322
done500022
01721
12921
25521
310121
421021
541321
656921
761921
877921
9130321
10333121
done500021
01721
12921
25521
310121
421021
541321
656921
761921
877921
9130321
10333121
done500021
044
164
2104
3124
4133
done133
01417
12117
24417
38817
419917
540417
657717
762517
878617
9129717
10329817
done500117
01418
12118
24418
38818
419918
540418
657718
762518
878618
9129718
10329818
done500118
01518
12218
24518
38918
419818
540518
656818
761818
878518
9130118
10331618
done500018
02045
13545
26845
311845
422545
542245
660445
765045
881145
9133245
10330845
done500045
01822
12722
25122
39522
420222
540122
655322
760322
876822
9126522
10326222
done500122
02044
13227
25827
310327
421227
541327
658127
762927
879427
9130627
10330527
done500027
01822
12722
25122
39522
420222
540122
655322
760322
876822
9126522
10326222
done500122
01927
13027
25627
310127
421427
541527
657427
762427
878827
9130527
10332127
done500027
01822
12722
25122
39522
420222
540122
655322
760322
876822
9126522
10326222
done500122
0812
11411
21711
3189
4259
done259
01721
12621
25021
39421
420521
540821
656021
760621
876621
9128421
10326421
done500021
01927
13027
25627
310127
421427
541527
657427
762427
878827
9130527
10332127
done500027
01822
12722
25122
39522
420222
540122
655322
760322
876822
9126522
10326222
done500122
0711
1139
2209
3259
done259
01721
12621
25021
39421
420521
540821
656021
760621
876621
9128421
10326421
done500021
01940
13040
25440
39840
420740
540840
657140
762140
878640
9129540
10330540
done500040
01822
12722
25122
39522
420222
540122
655322
760322
876822
9126522
10326222
done500122
01939
12922
25322
39722
420622
540722
656922
761722
878222
9129422
10332822
done500122
01822
12722
25122
39522
420222
540122
655322
760322
876822
9126522
10326222
done500122
01822
12722
25122
39522
420222
540122
655322
760322
876822
9126522
10326222
done500122
01822
12722
25122
39522
420222
540122
655322
760322
876822
9126522
10326222
done500122
077
1116
2126
done126
01721
12621
25021
39421
420521
540821
656021
760621
876621
9128421
10326421
done500021
01822
12722
25122
39522
420222
540122
655322
760322
876822
9126522
10326222
done500122
01822
12722
25122
39522
420222
540122
655322
760322
876822
9126522
10326222
done500122
066
1104
2134
done134
01721
12621
25021
39421
420521
540821
656021
760621
876621
9128421
10326421
done500021
01737
12837
25137
39537
420437
540437
655237
759837
875637
9126337
10325737
done500037
01721
12921
25521
310121
421021
541321
656921
761921
877921
9130321
10333121
done500021
01736
12719
25019
39419
420319
540719
655619
760619
876919
9127919
10329119
done500119
01721
12921
25521
310121
421021
541321
656921
761921
877921
9130321
10333121
done500021
01619
12519
24819
39219
420519
541719
657919
763119
879519
9130919
10329319
done500019
01721
12921
25521
310121
421021
541321
656921
761921
877921
9130321
10333121
done500021
034
153
done53
01620
12820
25420
310020
420720
540620
656320
761120
876920
9129020
10327820
done500020
01619
12519
24819
39219
420519
541719
657919
763119
879519
9130919
10329319
done500019
01721
12921
25521
310121
421021
541321
656921
761921
877921
9130321
10333121
done500021
023
141
done41
01620
12820
25420
310020
420720
540620
656320
761120
876920
9129020
10327820
done500020
02041
13041
25341
39741
421041
540941
657741
762741
879241
9130541
10329241
done500141
01923
13123
25723
310323
421423
540923
657123
762123
878523
9129823
10330923
done500023
02040
12923
25223
39623
420923
540823
657023
762223
878423
9130023
10330523
done500023
01923
13123
25723
310323
421423
540923
657123
762123
878523
9129823
10330923
done500023
01923
12723
25023
39423
420523
540223
656223
761023
877523
9128523
10328323
done500123
01923
13123
25723
310323
421423
540923
657123
762123
878523
9129823
10330923
done500023
088
1117
done117
01822
13022
25622
310222
421522
541622
657322
762322
878322
9130122
10329922
done500022
01923
12723
25023
39423
420523
540223
656223
761023
877523
9128523
10328323
done500123
01923
13123
25723
310323
421423
540923
657123
762123
878523
9129823
10330923
done500023
077
1105
2125
done125
01822
13022
25622
310222
421522
541622
657322
762322
878322
9130122
10329922
done500022
01737
12837
25137
39537
420437
540437
655237
759837
875637
9126337
10325737
done500037
01721
12921
25521
310121
421021
541321
656921
761921
877921
9130321
10333121
done500021
01736
12719
25019
39419
420319
540719
655619
760619
876919
9127919
10329119
done500119
01721
12921
25521
310121
421021
541321
656921
761921
877921
9130321
10333121
done500021
01619
12519
24819
39219
420519
541719
657919
763119
879519
9130919
10329319
done500019
01721
12921
25521
310121
421021
541321
656921
761921
877921
9130321
10333121
done500021
034
153
done53
01620
12820
25420
310020
420720
540620
656320
761120
876920
9129020
10327820
done500020
01619
12519
24819
39219
420519
541719
657919
763119
879519
9130919
10329319
done500019
01721
12921
25521
310121
421021
541321
656921
761921
877921
9130321
10333121
done500021
023
141
done41
01620
12820
25420
310020
420720
540620
656320
761120
876920
9129020
10327820
done500020
01518
12418
24718
39118
420018
540418
655818
760818
876418
9127418
10329318
done500018
01620
12520
24920
39320
420220
540920
657520
762320
878320
9130020
10330220
done500020
01839
13239
26339
311239
422239
542139
658939
763939
880039
9131939
10333639
done500039
01838
13121
25721
310321
421021
541321
657321
761921
878021
9129221
10328321
done500021
01721
12921
25521
310121
421021
541321
656921
761921
877921
9130321
10333121
done500021
066
1135
2165
3183
4233
5273
done273
01721
12921
25521
310121
421021
541321
656921
761921
877921
9130321
10333121
done500021
055
1123
2173
done173
01721
12621
25021
39421
420121
540621
657121
762121
878121
9130221
10330121
done500021
01721
12621
25021
39421
420121
540621
657121
762121
878121
9130221
10330121
done500021
01620
12520
24920
39320
420220
540920
657520
762320
878320
9130020
10330220
done500020
01822
12722
25122
39522
420222
540522
657222
762022
878722
9130722
10329722
done500022
01620
12520
24920
39320
420220
540920
657520
762320
878320
9130020
10330220
done500020
01924
14724
211024
331124
4119624
done500124
01836
14136
210036
327736
4105836
done500036
02028
14126
29226
316426
427826
548926
665326
770526
887226
9140126
10343526
done500026
01620
13120
25520
39920
420620
540720
657920
762520
878320
9130520
10331020
done500020
01518
12218
24518
38918
420018
540918
657818
762618
878718
9130318
10330418
done500018
01518
12218
24518
38918
420018
540918
657818
762618
878718
9130318
10330418
done500018
01637
12337
24637
39037
419937
540637
657237
762037
877937
9130137
10329837
done500037
01518
12218
24518
38918
420018
540918
657818
762618
878718
9130318
10330418
done500018
01653
12434
25019
39919
421119
542119
660319
771319
8107319
9250419
done500019
01636
12418
24718
39118
419818
541118
658618
763618
879918
9130918
10330018
done500118
01518
12218
24518
38918
420018
540918
657818
762618
878718
9130318
10330418
done500018
01635
12418
24718
39118
419818
541118
658618
763618
879918
9130918
10330018
done500118
01518
12218
24518
38918
420018
540918
657818
762618
878718
9130318
10330418
done500018
01518
12218
24518
38918
420018
540918
657818
762618
878718
9130318
10330418
done500018
01518
12218
24518
38918
420018
540918
657818
762618
878718
9130318
10330418
done500018
033
151
done51
01417
12117
24417
38817
419917
540417
657717
762517
878617
9129717
10329817
done500117
01518
12218
24518
38918
420018
540918
657818
762618
878718
9130318
10330418
done500018
01518
12218
24518
38918
420018
540918
657818
762618
878718
9130318
10330418
done500018
022
141
done41
01417
12117
24417
38817
419917
540417
657717
762517
878617
9129717
10329817
done500117
01721
14021
210021
329521
4116721
done500021
01849
14147
211547
334735
4136335
done500035
01633
13433
29033
326633
4104733
done500033
01417
12217
24617
39417
420717
544217
668817
795717
8191917
9496817
done500017
033
141
done41
033
161
done61
045
1103
2111
done111
01518
12218
24518
38918
420018
540918
657818
762618
878718
9130318
10330418
done500018
01518
12218
24518
38918
420018
540918
657818
762618
878718
9130318
10330418
done500018
01518
12218
24518
38918
420018
540918
657818
762618
878718
9130318
10330418
done500018
01518
12218
24518
38918
420018
540918
657818
762618
878718
9130318
10330418
done500018
01637
12337
24637
39037
419937
540637
657237
762037
877937
9130137
10329837
done500037
01518
12218
24518
38918
420018
540918
657818
762618
878718
9130318
10330418
done500018
01653
12434
25019
39919
421119
542119
660319
771319
8107319
9250419
done500019
01636
12418
24718
39118
419818
541118
658618
763618
879918
9130918
10330018
done500118
01518
12218
24518
38918
420018
540918
657818
762618
878718
9130318
10330418
done500018
01635
12418
24718
39118
419818
541118
658618
763618
879918
9130918
10330018
done500118
01518
12218
24518
38918
420018
540918
657818
762618
878718
9130318
10330418
done500018
01518
12218
24518
38918
420018
540918
657818
762618
878718
9130318
10330418
done500018
01518
12218
24518
38918
420018
540918
657818
762618
878718
9130318
10330418
done500018
033
151
done51
01417
12117
24417
38817
419917
540417
657717
762517
878617
9129717
10329817
done500117
01518
12218
24518
38918
420018
540918
657818
762618
878718
9130318
10330418
done500018
01518
12218
24518
38918
420018
540918
657818
762618
878718
9130318
10330418
done500018
022
141
done41
01417
12117
24417
38817
419917
540417
657717
762517
878617
9129717
10329817
done500117
01721
14021
210021
329521
4116721
done500021
01849
14147
211547
334735
4136335
done500035
01633
13433
29033
326633
4104733
done500033
01417
12217
24617
39417
420717
544217
668817
795717
8191917
9496817
done500017
033
141
done41
033
161
done61
045
1103
2111
done111
01518
12218
24518
38918
420018
540918
657818
762618
878718
9130318
10330418
done500018
01518
12218
24518
38918
420018
540918
657818
762618
878718
9130318
10330418
done500018
01416
13216
28014
315114
421414
525414
634014
755614
883314
9176114
done500014
01011
12111
24011
35111
46311
58611
613311
722211
845711
9138211
done500011
01011
12111
24011
35111
46311
58611
613311
722211
845711
9138211
done500011
02336
15736
216036
341936
4101926
5273123
done500023
01519
13819
29915
325415
483815
5286513
done500013
01519
13819
29915
325415
483815
5286513
done500013
02335
15935
218435
362529
4247927
done500127
02148
14742
210936
331119
4105411
done500111
02248
14845
210739
330723
4109919
done500019
02335
15935
218435
362529
4247927
done500127
02148
14742
210936
331119
4105411
done500111
02248
14845
210739
330723
4109919
done500019

prune1.0s

Filtered
141 candidates to 194 candidates (-37.6%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1940194
Fresh044
Picked011
Done011
Total1946200

Merged error: 0b

Counts
200 → 6

localize31.0ms

Local error

Found 4 expressions with local error:

17.1b
(cbrt (+ (* (+ x 43.3400022514) x) 263.505074721))
17.1b
(cbrt (+ (* (+ x 43.3400022514) x) 263.505074721))
17.1b
(cbrt (+ (* (+ x 43.3400022514) x) 263.505074721))
24.9b
(/ (* (- x 2.0) (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z)) (+ (* (+ (* (* (cbrt (+ (* (+ x 43.3400022514) x) 263.505074721)) (cbrt (+ (* (+ x 43.3400022514) x) 263.505074721))) (* (cbrt (+ (* (+ x 43.3400022514) x) 263.505074721)) x)) 313.399215894) x) 47.066876606))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
add-exp-log cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-cbrt-cube
associate-/l/
flip3-+ flip-+
cbrt-div
pow1 frac-times add-log-exp
flip3-- times-frac pow1/3 associate-/r* flip--
cbrt-undiv associate-*r/ div-exp associate-*l/ associate-/r/
frac-2neg prod-exp clear-num cbrt-unprod div-inv associate-/l*
Counts
4 → 70
Calls
4 calls:
7.0ms
(cbrt (+ (* (+ x 43.3400022514) x) 263.505074721))
7.0ms
(cbrt (+ (* (+ x 43.3400022514) x) 263.505074721))
7.0ms
(cbrt (+ (* (+ x 43.3400022514) x) 263.505074721))
65.0ms
(/ (* (- x 2.0) (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z)) (+ (* (+ (* (* (cbrt (+ (* (+ x 43.3400022514) x) 263.505074721)) (cbrt (+ (* (+ x 43.3400022514) x) 263.505074721))) (* (cbrt (+ (* (+ x 43.3400022514) x) 263.505074721)) x)) 313.399215894) x) 47.066876606))

series82.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(cbrt (+ (* (+ x 43.3400022514) x) 263.505074721))
9.0ms
(cbrt (+ (* (+ x 43.3400022514) x) 263.505074721))
9.0ms
(cbrt (+ (* (+ x 43.3400022514) x) 263.505074721))
48.0ms
(/ (* (- x 2.0) (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z)) (+ (* (+ (* (* (cbrt (+ (* (+ x 43.3400022514) x) 263.505074721)) (cbrt (+ (* (+ x 43.3400022514) x) 263.505074721))) (* (cbrt (+ (* (+ x 43.3400022514) x) 263.505074721)) x)) 313.399215894) x) 47.066876606))

simplify2.2min

Counts
82 → 82
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
03559
16259
211659
319843
434140
561240
694140
7121440
8163540
9305040
done500040
03458
16858
214858
332042
482839
5315239
done500039
03357
16757
215757
335741
496738
5382138
done500038
03357
16457
214657
333541
495638
5389838
done500038
038170
199170
237262
3170146
done500046
036170
195170
237460
3191742
done500042
034115
165115
2147115
332983
492877
5378477
done500177
03357
16457
214657
333041
493338
5377738
done500038
034170
172170
220358
378742
done500042
03357
16457
214657
333041
493338
5377738
done500038
03357
16457
214657
333041
493338
5377738
done500038
01822
13922
211122
332922
4118321
done500221
01635
13135
26235
311019
423716
553416
6111316
7213716
8386816
done500016
02075
13975
26975
310443
412737
519037
635437
761137
892137
9197737
done500037
03053
15053
29753
317437
430234
556634
688834
7117734
8156034
9298734
done500134
01939
13639
26139
39323
412220
518520
634720
760620
891320
9197320
done500020
03053
15053
29753
317437
430234
556634
688834
7117734
8156034
9298734
done500134
055
1123
2173
done173
02952
14952
29552
317136
429833
556233
686933
7115633
8154133
9297733
done500033
01736
13136
25336
38320
410017
516317
632617
758217
888217
9192717
done500017
03256
16356
214056
330440
479837
5312737
done500137
03493
17093
216593
337061
4104755
5434355
done500055
03357
16457
214657
333041
493238
5379638
done500038
01923
14021
210321
326621
483221
5319921
done500021
02952
14952
29652
317336
430333
557133
689133
7117233
8156333
9296933
done500033
03560
18260
220160
353044
4178041
done500141
03491
17691
220291
358159
4194153
done500053
040100
19296
230996
3153266
done500066
03664
16862
217662
363946
4329043
done500143
03692
18390
226890
3106660
done500260
03256
15856
214856
343540
4174037
done500137
03388
17686
222586
381556
4407553
done500053
02952
15152
211352
325536
487933
5442933
done500033
02246
14844
212344
333628
4110625
5488225
done500025
01838
13838
28538
317722
446019
5145019
6441519
done500019
089
1119
2189
3269
done269
089
1119
2189
3269
done269
0918
11218
21918
32718
43118
done3118
089
1119
2189
3269
done269
089
1119
2189
3269
done269
089
1119
2189
3269
done269
022
141
done41
078
1108
2178
3258
4278
done278
01012
12912
27312
321812
458912
5196112
done500112
01124
13022
28422
323218
457918
5182318
done500018
0916
12316
25916
315316
440816
5106216
6350816
done500016
078
1118
2198
3318
4378
5418
6498
7678
8948
91578
101768
111918
122118
132128
done2128
0919
11219
21919
32719
43119
done3119
089
1119
2189
3269
done269
0926
11326
22210
3357
4417
5517
6727
71387
83557
912707
done50007
089
1119
2189
3269
done269
089
1119
2189
3269
done269
089
1119
2189
3269
done269
089
1119
2189
3269
done269
0918
11218
21918
32718
43118
done3118
089
1119
2189
3269
done269
089
1119
2189
3269
done269
089
1119
2189
3269
done269
022
141
done41
078
1108
2178
3258
4278
done278
01012
12912
27312
321812
458912
5196112
done500112
01124
13022
28422
323218
457918
5182318
done500018
0916
12316
25916
315316
440816
5106216
6350816
done500016
078
1118
2198
3318
4378
5418
6498
7678
8948
91578
101768
111918
122118
132128
done2128
0919
11219
21919
32719
43119
done3119
089
1119
2189
3269
done269
0926
11326
22210
3357
4417
5517
6727
71387
83557
912707
done50007
089
1119
2189
3269
done269
089
1119
2189
3269
done269
089
1119
2189
3269
done269
089
1119
2189
3269
done269
0918
11218
21918
32718
43118
done3118
089
1119
2189
3269
done269
089
1119
2189
3269
done269
089
1119
2189
3269
done269
022
141
done41
078
1108
2178
3258
4278
done278
01012
12912
27312
321812
458912
5196112
done500112
01124
13022
28422
323218
457918
5182318
done500018
0916
12316
25916
315316
440816
5106216
6350816
done500016
078
1118
2198
3318
4378
5418
6498
7678
8948
91578
101768
111918
122118
132128
done2128
0919
11219
21919
32719
43119
done3119
089
1119
2189
3269
done269
0926
11326
22210
3357
4417
5517
6727
71387
83557
912707
done50007
089
1119
2189
3269
done269
089
1119
2189
3269
done269
01416
13216
28014
315114
421414
525414
634014
755614
883314
9176114
done500014
01011
12111
24011
35111
46311
58611
613311
722211
845711
9138211
done500011
01011
12111
24011
35111
46311
58611
613311
722211
845711
9138211
done500011
02335
16131
219028
363926
4253425
done500025
02048
14642
210836
331319
4106515
done500015
02148
14745
210639
330921
4110219
done500117
02335
16131
219028
363926
4253425
done500025
02048
14642
210836
331319
4106515
done500015
02148
14745
210639
330921
4110219
done500117
02335
16131
219028
363926
4253425
done500025
02048
14642
210836
331319
4106515
done500015
02148
14745
210639
330921
4110219
done500117

prune303.0ms

Filtered
73 candidates to 82 candidates (-12.3%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New82082
Fresh033
Picked011
Done022
Total82688

Merged error: 0b

Counts
88 → 6

regimes356.0ms

Accuracy

95.8% (1.0b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 24.8b

bsearch57.0ms

Steps
ItersRangePoint
9
8048997583997.388
3.047117472374529e+21
1.696063957136378e+20
6
-1.530790709271042e+18
-2.6079741202910298e+17
-1.508109647342458e+18

simplify5.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
04586
16576
done6576

end0.0ms

sample1.1s

Algorithm
intervals
Results
797.0ms8009×body80valid

Profiling

Loading profile data...