Details

Time bar (total: 9.5min)

sample34.0ms

Algorithm
intervals
Results
12.0ms256×body80valid
11.0ms257×body80nan

simplify63.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01114
12114
23814
35714
47514
59614
610414
done10414

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (+ x 1.0) (* 4.0 (sqrt x)))
0.0b
(* 6.0 (- x 1.0))
0.1b
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
10×add-exp-log add-cbrt-cube
*-un-lft-identity
add-log-exp
add-cube-cbrt
pow1 associate-*r*
associate-*r/
times-frac associate-*l* associate-/r* sum-log
cbrt-undiv distribute-rgt-in sub-neg flip3-- distribute-lft-in flip3-+ div-exp prod-exp associate-/r/ flip-- cbrt-unprod flip-+ associate-/l/
+-commutative associate-+l+ frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 64
Calls
3 calls:
6.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
7.0ms
(* 6.0 (- x 1.0))
13.0ms
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series18.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
4.0ms
(* 6.0 (- x 1.0))
9.0ms
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify1.2min

Counts
73 → 73
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01417
12617
24017
34617
45217
56117
67417
79217
810817
911517
1013217
1113417
done13417
01316
12616
24516
35916
46616
57216
68116
79416
811216
912816
1013516
1115216
1215416
done15416
01215
12515
25015
38715
412015
514915
616915
718715
820315
921015
1022715
1122915
done22915
01215
12215
23915
36215
49515
514915
622615
748215
8160015
done500115
01744
15144
225420
3130420
done500120
01544
15344
226718
3145416
done500016
01331
12331
24031
35931
47731
59831
610631
done10631
01215
12215
23915
36015
47815
59915
610715
done10715
01344
13044
28416
334516
4179316
done500016
01215
12215
23915
36015
47815
59915
610715
done10715
01215
12215
23915
36015
47815
59915
610715
done10715
066
1136
2316
3526
4655
5705
done705
089
1169
2369
3569
4689
5839
61179
71569
81599
91619
101659
done1659
01121
11821
22421
32621
done2621
01013
12013
22913
33113
done3113
01011
11511
22111
done2111
01013
12013
22913
33113
done3113
033
151
done51
0912
11912
22812
33012
done3012
0910
11610
22210
32410
done2410
01114
12114
23614
34114
44514
done4514
01325
12825
25825
310225
415225
520625
624725
725025
done25025
01215
12215
23915
36015
47815
59915
610715
done10715
077
1145
2295
3545
4735
5875
6955
71125
81265
91315
done1315
0912
11612
22312
32512
done2512
01418
13818
210318
324318
447618
5127818
6487518
done500018
01323
13823
211619
330619
484519
5241719
done500019
01320
13118
210718
342918
4137518
done500018
0812
12012
26512
315112
438612
564412
672512
773212
done73212
055
185
2155
3205
4245
done245
077
1107
2117
done117
066
1126
2206
3256
4296
done296
066
1116
2246
3496
4906
51926
64416
714026
done50016
0917
11817
2629
32439
48557
529657
done50017
0713
11013
21713
32213
42613
done2613
066
196
2166
3216
4256
done256
0717
12017
2747
32667
48187
525117
done50007
066
196
2166
3216
4256
done256
066
196
2166
3216
4256
done256
077
1107
2117
done117
077
1107
2117
done117
033
143
done43
044
174
2104
3114
done114
033
143
done43
044
174
2104
3114
done114
033
143
done43
044
174
2104
3114
done114
033
143
done43
044
174
2104
3114
done114
0711
11211
21511
done1511
066
196
2106
done106
033
161
done61
077
1157
2167
done167
033
161
done61
066
196
2166
3216
4256
done256
066
196
2166
3216
4256
done256
055
185
2155
3205
4245
done245
089
1249
2529
31319
43099
59889
644669
done50009
079
1139
2309
3769
41599
52459
64009
77719
833759
done50009
01011
11910
2389
3699
41409
53329
69129
729299
done50009
0910
1199
2359
3639
41249
53049
68379
727539
done50009
089
1139
2199
done199
089
1169
2339
3529
4869
51869
64579
713269
845109
done50009
0919
11419
22019
done2019
089
1139
2199
done199
0926
12726
211710
358510
4302310
done500010
089
1139
2199
done199
089
1139
2199
done199
01012
12912
28312
320712
444212
5122112
6477912
done500012
01126
13621
210921
328318
494218
5266618
done500018
0917
12917
28413
320713
456213
5162113
done500013
078
1138
2268
3328
4388
5478
6608
7738
8828
9918
101148
111318
done1318
066
186
done86
02845
17745
227645
387235
4336929
done500129
03149
18049
226145
3107343
done500037
03149
18049
226045
3109645
done500037
045
175
285
done85
045
175
285
done85
045
175
285
done85
01519
14219
212519
326819
455415
5129315
6398515
done500015
01215
13115
27115
313615
427113
564913
6203013
done500013
01215
13215
28015
319913
450213
5139813
6472013
done500013

prune133.0ms

Filtered
61 candidates to 73 candidates (-19.7%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New70373
Fresh000
Picked011
Done000
Total70474

Merged error: 0b

Counts
74 → 4

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (+ x 1.0) (* 4.0 (sqrt x)))
0.0b
(* 6.0 (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
0.0b
(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
37×*-un-lft-identity
31×times-frac
23×add-cube-cbrt
21×associate-*r*
10×add-exp-log add-cbrt-cube
add-log-exp
distribute-lft-out-- difference-of-squares
pow1 associate-/l*
associate-/r/
flip3-+ associate-*l* associate-/r* sum-log flip-+
cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
+-commutative associate-+l+ flip3-- frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative flip--
Counts
3 → 93
Calls
3 calls:
7.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
15.0ms
(* 6.0 (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
10.0ms
(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series21.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
9.0ms
(* 6.0 (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
8.0ms
(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify1.2min

Counts
102 → 102
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01114
12014
22814
done2814
01013
12313
23413
33713
done3713
01013
12013
23213
33613
43913
54513
64913
76513
87113
97813
108713
1110813
1212913
1314713
1415413
1516013
1616313
done16313
01338
14138
217716
377014
4367214
done500114
01127
12127
23027
33227
done3227
01013
12013
22913
33113
done3113
01138
12838
26514
319114
463214
5213414
done500014
01013
12013
22913
33113
done3113
01013
12013
22913
33113
done3113
044
164
2104
3124
4133
done133
089
1169
2369
3569
4689
5839
61179
71569
81599
91619
101659
done1659
0810
11310
21910
done1910
0810
11310
21910
done1910
01329
12629
24229
35029
done5029
01114
11814
22514
32714
done2714
01219
12119
23019
33119
done3119
01114
11814
22514
32714
done2714
0711
1139
2209
3259
done259
01013
11713
22413
done2413
01224
12124
22824
done2824
01114
11814
22514
32714
done2714
01114
11814
22514
32714
done2714
01114
11814
22514
32714
done2714
066
1104
2134
done134
01013
11713
22413
done2413
01121
12021
22621
done2621
01013
12013
22913
33113
done3113
01011
11711
22311
32511
done2511
01013
12013
22913
33113
done3113
023
141
done41
0912
11912
22812
33012
done3012
01225
12025
22625
done2625
01115
12115
23015
33215
done3215
01115
11715
22315
32515
done2515
01115
12115
23015
33215
done3215
077
1105
2125
done125
01014
12014
22914
33114
done3114
01121
12021
22621
done2621
01013
12013
22913
33113
done3113
01011
11711
22311
32511
done2511
01013
12013
22913
33113
done3113
023
141
done41
0912
11912
22812
33012
done3012
0910
11610
22210
32410
done2410
0912
11612
22312
32512
done2512
01123
12323
23723
34223
44523
done4523
01013
12013
22913
33113
done3113
055
1123
2173
done173
01013
11713
22413
done2413
01013
11713
22413
done2413
0912
11612
22312
32512
done2512
01014
11714
22414
done2414
0912
11612
22312
32512
done2512
01216
13616
29316
322116
445816
5123516
6485416
done500016
01121
13621
210017
323417
460117
5167217
done500017
01320
13118
210718
342918
4137518
done500018
0812
12012
26512
315112
438612
564412
672512
773212
done73212
01114
12414
24214
35914
48214
510114
610814
710914
done10914
01417
12617
24017
34917
45517
56517
67217
78417
810717
912117
1012717
done12717
01316
12716
24216
35516
46516
57416
67916
78816
810516
912416
1013216
done13216
01215
12815
25215
37915
412115
515315
617215
719115
820715
921415
1023115
1123315
done23315
01215
12715
25115
38615
417815
536615
672415
7208115
done500115
01744
15144
223320
3116018
done500018
01544
13844
210818
340818
4192816
done500116
01331
12631
24431
36331
48631
510531
611231
711331
done11331
01215
12515
24315
36015
48315
510215
610915
711015
done11015
01344
13644
210516
340316
4191216
done500016
01215
12515
24315
36015
48315
510215
610915
711015
done11015
01215
12515
24315
36015
48315
510215
610915
711015
done11015
01316
12416
23316
33716
done3716
01316
12416
23316
33716
done3716
01417
12417
23417
33817
43917
done3917
01417
12417
23417
33817
43917
done3917
01329
12629
23729
33929
done3929
01215
12315
23215
33415
done3415
01531
13131
26731
310731
416331
517531
done17531
01421
12621
24321
35821
47121
57321
done7321
0913
11811
23611
37311
411111
done11111
01426
12626
24426
36026
47226
done7226
01316
12316
23316
33916
44016
done4016
088
1156
2236
3326
4386
done386
01323
12523
24121
35021
47021
510021
610321
done10321
01213
12213
23111
33211
43711
53811
done3811
045
193
2141
done141
01427
12527
25027
36627
49427
510027
612027
714627
816027
916527
1016627
1116827
1216927
done16927
01317
12217
23917
34517
45417
55617
66217
76617
87217
97417
done7417
099
1157
2307
3397
4537
done537
01323
12523
24121
35021
47021
510021
610321
done10321
01213
12213
23111
33211
43711
53811
done3811
045
193
2141
done141
033
161
done61
055
185
2155
3205
4245
done245
01418
14118
210718
324218
447918
5127918
6486018
done500018
01323
14123
211919
329219
474519
5209719
done500019
01215
12515
24315
36215
48515
510415
611115
711215
done11215
01215
12515
24315
36215
48515
510415
611115
711215
done11215
01114
12414
24214
35914
48214
510114
610814
710914
done10914
055
185
2155
3205
4245
done245
01011
11910
2389
3699
41409
53329
69129
729299
done50009
0910
1199
2359
3639
41249
53049
68379
727539
done50009
089
1139
2199
done199
089
1169
2339
3529
4869
51869
64579
713269
845109
done50009
0919
11419
22019
done2019
089
1139
2199
done199
0926
12726
211710
358510
4302310
done500010
089
1139
2199
done199
089
1139
2199
done199
01012
12912
28312
320712
444212
5122112
6477912
done500012
01126
13621
210921
328318
494218
5266618
done500018
0917
12917
28413
320713
456213
5162113
done500013
078
1138
2268
3328
4388
5478
6608
7738
8828
9918
101148
111318
done1318
066
186
done86
02845
17745
227645
387235
4336929
done500129
03049
17949
226045
3106943
done500037
03049
17949
225945
3108845
done500037
02845
17745
227645
387235
4336929
done500129
03149
18049
226145
3107343
done500037
03149
18049
226045
3109645
done500037
01519
14219
212519
326819
455415
5129315
6398515
done500015
01215
13115
27115
313615
427113
564913
6203013
done500013
01215
13215
28015
319913
450213
5139813
6472013
done500013

prune183.0ms

Filtered
84 candidates to 102 candidates (-21.4%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1011102
Fresh112
Picked101
Done101
Total1042106

Merged error: 0b

Counts
106 → 2

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(exp (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
0.0b
(* 6.0 (log (exp (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))))
0.0b
(log (exp (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))))
0.0b
(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
74×add-sqr-sqrt
72×*-un-lft-identity
63×exp-prod
60×times-frac
46×add-cube-cbrt
44×log-pow
25×associate-*r*
13×distribute-lft-out-- difference-of-squares
log-prod
pow1 add-exp-log associate-/r/ add-cbrt-cube
associate-/l* add-log-exp
flip3-+ flip-+ div-inv
distribute-rgt-in distribute-lft-in div-sub associate-*l* associate-/r*
exp-diff associate-/l/
cbrt-undiv log-div flip3-- frac-2neg div-exp rem-log-exp pow-prod-down prod-exp clear-num *-commutative flip-- cbrt-unprod rem-exp-log unswap-sqr
Counts
4 → 150
Calls
4 calls:
11.0ms
(exp (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
19.0ms
(* 6.0 (log (exp (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))))
13.0ms
(log (exp (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))))
14.0ms
(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series42.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(exp (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
9.0ms
(* 6.0 (log (exp (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))))
9.0ms
(log (exp (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))))
8.0ms
(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify1.8min

Counts
162 → 162
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01114
12014
22814
done2814
01013
12313
23413
33713
done3713
01013
12013
23213
33613
43913
54513
64913
76513
87113
97813
108713
1110813
1212913
1314713
1415413
1516013
1616313
done16313
01338
14138
217716
377014
4367214
done500114
01127
12127
23027
33227
done3227
01013
12013
22913
33113
done3113
01138
12838
26514
319114
463214
5213414
done500014
01013
12013
22913
33113
done3113
01013
12013
22913
33113
done3113
044
164
2104
3124
4133
done133
089
1169
2369
3569
4689
5839
61179
71569
81599
91619
101659
done1659
0810
11310
21910
done1910
0810
11310
21910
done1910
01329
12629
24229
35029
done5029
01114
11814
22514
32714
done2714
01219
12119
23019
33119
done3119
01114
11814
22514
32714
done2714
0711
1139
2209
3259
done259
01013
11713
22413
done2413
01224
12124
22824
done2824
01114
11814
22514
32714
done2714
01114
11814
22514
32714
done2714
01114
11814
22514
32714
done2714
066
1104
2134
done134
01013
11713
22413
done2413
01121
12021
22621
done2621
01013
12013
22913
33113
done3113
01011
11711
22311
32511
done2511
01013
12013
22913
33113
done3113
023
141
done41
0912
11912
22812
33012
done3012
01225
12025
22625
done2625
01115
12115
23015
33215
done3215
01115
11715
22315
32515
done2515
01115
12115
23015
33215
done3215
077
1105
2125
done125
01014
12014
22914
33114
done3114
01121
12021
22621
done2621
01013
12013
22913
33113
done3113
01011
11711
22311
32511
done2511
01013
12013
22913
33113
done3113
023
141
done41
0912
11912
22812
33012
done3012
0910
11610
22210
32410
done2410
0912
11612
22312
32512
done2512
01123
12323
23723
34223
44523
done4523
01013
12013
22913
33113
done3113
055
1123
2173
done173
01013
11713
22413
done2413
01013
11713
22413
done2413
0912
11612
22312
32512
done2512
01014
11714
22414
done2414
0912
11612
22312
32512
done2512
01216
13616
29316
322116
445816
5123516
6485416
done500016
01121
13621
210017
323417
460117
5167217
done500017
01320
13118
210718
342918
4137518
done500018
0812
12012
26512
315112
438612
564412
672512
773212
done73212
01330
12530
23917
34417
44717
55317
65717
77317
87917
98617
109517
1111617
1213717
1315417
1416117
1516717
1617017
done17017
01215
12215
23415
33815
44115
54715
65115
76715
87315
98015
108915
1110915
1213015
1314815
1415515
1516115
1616415
done16415
01215
12215
23415
33815
44115
54715
65115
76715
87315
98015
108915
1110915
1213015
1314815
1415515
1516115
1616415
done16415
01215
12215
23415
33815
44115
54715
65115
76715
87315
98015
108915
1110915
1213015
1314815
1415515
1516115
1616415
done16415
022
141
done41
01114
12112
23312
34012
44712
55612
66512
79512
811212
914612
1021012
1122412
1224212
1324812
1425612
done25612
01012
11510
22110
done2110
01012
11510
22110
done2110
01114
12112
23312
34012
44712
55612
66512
79512
811212
914612
1021012
1122412
1224212
1324812
1425612
done25612
01329
12527
24027
35027
47527
514827
639427
7136327
done500127
01215
12213
23113
33313
done3313
01531
12829
24629
36229
48129
512529
626129
774529
8372629
done500029
01421
12319
23219
33519
44319
55619
69319
719819
856019
9219819
done500119
0913
1159
2249
3359
4479
5729
61519
74209
816669
done50009
01426
12324
23024
done3024
01316
12014
22714
done2714
088
1124
2154
done154
01323
12221
22821
done2821
01213
11911
22511
done2511
045
161
271
done71
01427
12225
22825
done2825
01317
11915
22515
32715
done2715
099
1125
2185
3225
done225
01323
12221
22821
done2821
01213
11911
22511
done2511
045
161
271
done71
033
161
done61
055
1103
2163
3233
4323
5413
6713
7813
81163
91643
101983
112113
122253
done2253
01418
13816
29816
323016
447216
5124816
6490116
done500016
01323
13821
210517
324417
462017
5169217
done500017
01215
12213
23713
34613
45413
56313
67213
710213
811913
915313
1021713
1123013
1224813
1325413
1426213
done26213
01215
12213
23413
34113
44813
55713
66613
79613
811313
914713
1021213
1122513
1224113
1324713
1425513
done25513
01331
12327
23527
34227
44927
55827
66727
79727
811427
914827
1021427
1122827
1224227
1324827
1425627
done25627
01215
12213
23413
34113
44813
55713
66613
79613
811313
914713
1021213
1122513
1224113
1324713
1425513
done25513
01344
12438
24614
311214
433314
5113014
6354614
done500014
01215
12213
23413
34113
44813
55713
66613
79613
811313
914713
1021213
1122513
1224113
1324713
1425513
done25513
01215
12213
23413
34113
44813
55713
66613
79613
811313
914713
1021213
1122513
1224113
1324713
1425513
done25513
01316
12414
24014
36514
48814
512514
614314
718314
821614
926814
1038814
1148114
1254814
1364614
1472114
1573214
done73214
01518
12616
24116
35616
47216
59116
610916
714416
816916
922016
1030016
1132116
1233516
1334116
1434916
done34916
01417
12815
24815
38315
412015
517415
620515
725715
831315
937515
1051515
1161015
1268715
1379915
1489915
1594115
1695015
done95015
01417
12715
24815
38815
417815
538015
673715
7212415
done500015
01750
13444
28118
326318
4122416
done500016
01535
12631
24231
36731
49031
512731
614531
718531
821831
927031
1039031
1148431
1255231
1364931
1472431
1573531
done73531
01417
12515
24115
36815
49115
512815
614615
718615
821915
927115
1039115
1148415
1255415
1364915
1472415
1573515
done73515
01550
13644
29116
331516
4143716
done500016
01417
12515
24115
36815
49115
512815
614615
718615
821915
927115
1039115
1148415
1255415
1364915
1472415
1573515
done73515
01417
12515
24115
36815
49115
512815
614615
718615
821915
927115
1039115
1148415
1255415
1364915
1472415
1573515
done73515
01518
12616
23816
34716
45416
56316
67216
710216
811816
915216
1021416
1122716
1224116
1324716
1425516
done25516
01518
12616
23816
34716
45416
56316
67216
710216
811816
915216
1021416
1122716
1224116
1324716
1425516
done25516
01532
12832
24619
35619
46319
56919
67319
78919
89319
910019
1010919
1112919
1215019
1316619
1417319
1517919
1618219
done18219
01417
12517
23717
34117
44417
55017
65417
77017
87417
98117
109017
1111017
1213117
1314717
1415417
1516017
1616317
done16317
01417
12517
23717
34117
44417
55017
65417
77017
87417
98117
109017
1111017
1213117
1314717
1415417
1516017
1616317
done16317
01417
12517
23717
34117
44417
55017
65417
77017
87417
98117
109017
1111017
1213117
1314717
1415417
1516017
1616317
done16317
044
173
done71
01316
12414
24014
36514
48814
512514
614314
718314
821614
926814
1038814
1148114
1254814
1364614
1472114
1573214
done73214
01532
12832
24619
35619
46319
56919
67319
78919
89519
910219
1011119
1113219
1215319
1317019
1417719
1518319
1618619
done18619
01417
12517
23717
34117
44417
55017
65417
77017
87617
98317
109217
1111317
1213417
1315217
1415917
1516517
1616817
done16817
01417
12517
23717
34117
44417
55017
65417
77017
87617
98317
109217
1111317
1213417
1315217
1415917
1516517
1616817
done16817
01417
12517
23717
34117
44417
55017
65417
77017
87617
98317
109217
1111317
1213417
1315217
1415917
1516517
1616817
done16817
044
173
done71
01316
12414
24014
36514
48814
512514
614314
718314
821714
926914
1038914
1148314
1255014
1364814
1472314
1573414
done73414
033
161
done61
01215
12315
23215
33415
done3415
01215
12315
23215
33415
done3415
01316
12316
23316
33916
44016
done4016
01316
12316
23316
33916
44016
done4016
01215
12215
23215
33615
43715
done3715
01316
12316
23316
33916
44016
done4016
01316
12316
23316
33916
44016
done4016
01215
12215
23215
33615
43715
done3715
01215
12515
24315
36015
48315
510215
610915
711015
done11015
01215
12515
24315
36015
48315
510215
610915
711015
done11015
01114
12414
24214
35914
48214
510114
610814
710914
done10914
01317
12617
24417
36317
48617
510517
611217
711317
done11317
01317
12617
24417
36317
48617
510517
611217
711317
done11317
01216
12516
24316
36216
48516
510416
611116
711216
done11216
01215
12515
24315
36015
48315
510215
610915
711015
done11015
01215
12515
24315
36015
48315
510215
610915
711015
done11015
01114
12414
24214
35914
48214
510114
610814
710914
done10914
01114
12414
24214
35914
48214
510114
610814
710914
done10914
01112
12112
23010
33110
43610
53710
done3710
01328
14523
213923
343720
4148420
5432320
done500020
0910
11610
24110
38110
411110
513510
616610
720510
824510
929810
1035210
1142010
1244810
1345410
done45410
01533
12829
24229
34929
45629
56529
67429
710429
812029
915429
1021629
1123029
1224729
1325329
1426129
done26129
01417
12515
23715
34415
45115
56015
66915
79915
811515
914915
1021315
1122615
1224215
1324815
1425615
done25615
033
161
done61
01417
12515
24115
36815
49115
512815
614615
718615
821915
927115
1038815
1148215
1254815
1364315
1472015
1572315
done72315
01417
12515
24115
36815
49115
512815
614615
718615
821915
927115
1038815
1148215
1254815
1364315
1472015
1572315
done72315
01316
12414
24014
36514
48814
512514
614314
718314
821614
926814
1038814
1148114
1254814
1364614
1472114
1573214
done73214
01228
12428
23728
34428
46228
510228
621028
758428
8225928
done500028
01114
12114
23014
33214
done3214
01430
12730
24530
35930
47130
510330
618330
739730
8171030
done500130
01320
12220
23120
33620
44220
55020
67520
713620
829820
986120
10429020
done500120
0812
11410
22310
33210
43910
55710
69910
720110
870810
9302610
done500010
01325
12225
22925
done2925
01215
11915
22615
done2615
077
1115
2145
done145
01222
12122
22722
done2722
01112
11812
22412
32612
done2612
034
152
261
done61
01326
12126
22726
done2726
01216
11816
22416
done2416
088
1116
2176
done176
01222
12122
22722
done2722
01112
11812
22412
32612
done2612
034
152
261
done61
022
151
done51
044
194
2124
3154
4214
5254
6414
7454
8504
9574
10754
11964
121094
131124
done1124
01317
13717
29717
322217
445517
5123817
6486617
done500017
01222
13722
210418
324018
461118
5168718
done500018
0911
11411
22011
done2011
0911
11411
22011
done2011
01114
12112
23312
34012
44712
55612
66512
79512
811212
914612
1021012
1122412
1224212
1324812
1425612
done25612
01114
12114
23314
33714
44214
55414
66814
712214
821314
946914
10136114
11459214
done500014
01229
12229
23429
33829
44129
54729
65129
76729
87329
98029
108929
1110929
1213029
1314829
1415529
1516129
1616429
done16429
01114
12114
23314
33714
44014
54614
65014
76614
87214
97914
108814
1110914
1213014
1314814
1415514
1516114
1616414
done16414
01241
12540
24915
311015
431015
590215
6206515
7496315
done500015
01114
12114
23314
33714
44014
54614
65014
76614
87214
97914
108814
1110914
1213014
1314814
1415514
1516114
1616414
done16414
01114
12114
23314
33714
44014
54614
65014
76614
87214
97914
108814
1110914
1213014
1314814
1415514
1516114
1616414
done16414
02845
17745
227645
387235
4336929
done500129
03049
17949
226045
3106943
done500037
03049
17949
225945
3108845
done500037
02845
17745
227645
387235
4336929
done500129
03049
17949
226045
3106943
done500037
03049
17949
225945
3108845
done500037
02845
17745
227645
387235
4336929
done500129
03149
18049
226145
3107343
done500037
03149
18049
226045
3109645
done500037
03055
18855
231154
3103945
4422135
done500035
03457
19257
232757
3111451
4496643
done500043
03457
19257
232855
3114847
4483041
done500041

prune363.0ms

Filtered
137 candidates to 162 candidates (-18.2%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1620162
Fresh011
Picked011
Done000
Total1622164

Merged error: 0b

Counts
164 → 2

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (+ x 1.0) (* 4.0 (sqrt x)))
0.0b
(- (* (+ x 1.0) (+ x 1.0)) (* (* 4.0 4.0) x))
0.1b
(* (/ (* 6.0 (- x 1.0)) (- (* (+ x 1.0) (+ x 1.0)) (* (* 4.0 4.0) x))) (- (+ x 1.0) (* 4.0 (sqrt x))))
16.7b
(/ (* 6.0 (- x 1.0)) (- (* (+ x 1.0) (+ x 1.0)) (* (* 4.0 4.0) x)))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
18×add-exp-log add-cbrt-cube
11×add-sqr-sqrt add-log-exp
add-cube-cbrt *-un-lft-identity associate-*l*
flip3-- flip--
pow1 times-frac
prod-exp associate--l+ cbrt-unprod
cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in associate-*r/ div-exp associate-/r/
diff-log associate-*r* associate-/r*
frac-times div-inv associate-/l/
frac-2neg pow-prod-down associate-*l/ clear-num sum-log *-commutative associate-/l* unswap-sqr
Counts
4 → 92
Calls
4 calls:
6.0ms
(- (+ x 1.0) (* 4.0 (sqrt x)))
10.0ms
(- (* (+ x 1.0) (+ x 1.0)) (* (* 4.0 4.0) x))
23.0ms
(* (/ (* 6.0 (- x 1.0)) (- (* (+ x 1.0) (+ x 1.0)) (* (* 4.0 4.0) x))) (- (+ x 1.0) (* 4.0 (sqrt x))))
16.0ms
(/ (* 6.0 (- x 1.0)) (- (* (+ x 1.0) (+ x 1.0)) (* (* 4.0 4.0) x)))

series24.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(- (+ x 1.0) (* 4.0 (sqrt x)))
3.0ms
(- (* (+ x 1.0) (+ x 1.0)) (* (* 4.0 4.0) x))
11.0ms
(* (/ (* 6.0 (- x 1.0)) (- (* (+ x 1.0) (+ x 1.0)) (* (* 4.0 4.0) x))) (- (+ x 1.0) (* 4.0 (sqrt x))))
5.0ms
(/ (* 6.0 (- x 1.0)) (- (* (+ x 1.0) (+ x 1.0)) (* (* 4.0 4.0) x)))

simplify5.3min

Counts
104 → 104
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01522
13422
27222
312722
423922
537922
654922
784822
8160422
9213822
10255822
11288522
12296422
done296422
01421
13421
27721
314021
424721
538621
654721
784121
8160321
9214321
10255221
11290021
12297721
done297721
01320
13320
28520
318420
436620
563820
6110720
7193820
8415420
done500020
01320
13020
27420
315920
433920
563220
6115920
7231620
done500020
01859
14759
220425
398625
done500025
01659
14959
221723
3113921
done500121
01441
13141
27541
315841
432541
558941
6104641
7185941
8406541
done500041
01320
13020
27420
315720
432220
558420
6103920
7185120
8405820
done500020
01459
13859
211921
344421
4219321
done500021
01320
13020
27420
315720
432220
558420
6103920
7185120
8405820
done500020
01320
13020
27420
315720
432220
558420
6103920
7185120
8405820
done500020
066
1136
2316
3526
4655
5705
done705
0914
12114
25414
312714
432613
566313
6121713
7221113
8292013
9302413
10302513
done302513
01231
12631
25631
310531
420331
534331
650431
778331
8152131
9204531
10244131
11274131
12282031
done282031
01118
12818
26118
311218
421018
535118
650918
779118
8153518
9206118
10245918
11279018
12287018
done287018
01116
12316
25316
310216
420216
534316
650016
778016
8151516
9203716
10242916
11275516
12282916
done282916
01118
12818
26118
311218
421018
535118
650918
779118
8153518
9206118
10245918
11279018
12287018
done287018
033
151
done51
01017
12717
26017
311117
421117
535317
651017
779317
8153217
9205817
10246417
11279517
12287617
done287617
01015
12415
25415
310315
420115
533715
649915
778315
8152215
9204415
10242715
11272615
12280015
done280015
01219
13219
210819
328119
466819
5120519
6185919
7445519
done500019
01435
13635
29035
318135
432935
551735
671635
7100035
8174535
9226935
10263435
11291435
12299335
done299335
01320
13020
27120
313920
425920
541120
657120
785020
8158520
9210820
10249820
11282520
12289920
done289920
077
1145
2295
3545
4735
5875
6955
71125
81265
91315
done1315
01017
12717
26817
314817
432417
556217
679117
7116717
8219217
9348117
10483317
done500017
01523
15023
217719
377019
4326219
done500019
01433
14533
216027
354121
4194919
done500019
01425
13823
210523
347823
4232423
done500023
0917
12817
27717
324516
476915
5242015
done500015
01628
14128
213128
343028
4137128
5379628
done500128
02032
14732
211432
320432
436932
558232
685332
7126232
8207132
9250932
10297632
11315932
12316232
done316232
01931
14731
211331
320831
437131
555431
680131
7121231
8205331
9250931
10296131
11314231
12314931
done314931
01830
14430
211230
323630
446830
582630
6137530
7230330
8455330
done500030
01729
14529
214429
347229
4150929
5401729
done500029
01729
14429
214029
347129
4155529
5457129
done500029
02486
16486
231836
3223136
done500136
02286
16686
232934
3237932
done500132
02086
15586
221932
3126832
done500132
01859
14359
213359
343259
4137959
5380759
done500059
01729
14229
213229
343129
4137629
5380329
done500129
01886
15386
224030
3155130
done500030
01729
14229
213229
343129
4137629
5380329
done500129
01729
14229
213229
343129
4137629
5380329
done500129
01418
14018
213618
356418
4334018
done500118
01540
15035
217535
383632
done500232
01323
13923
212519
352519
4308519
done500019
01222
13522
211022
342722
4190222
done500022
01830
14130
29730
318630
435630
562630
6109730
7191730
8408830
done500130
01830
14130
29730
318630
435630
562630
6109730
7191730
8408830
done500130
01323
13923
211223
327923
466823
5145121
6359021
done500021
01625
14325
212125
336125
4117425
5338924
done500024
01321
13321
28521
319921
444421
592921
6205519
done500019
01626
13926
211126
331826
498626
5253426
done500126
01323
13923
211223
327923
466823
5145121
6359021
done500021
01625
14325
212125
336125
4117425
5338924
done500024
01323
13323
29523
325123
466823
5140223
6318821
done500021
01625
14325
212125
339125
4125425
5332824
done500024
01321
13321
28521
320621
447221
596721
6211119
done500019
01626
13926
210526
329126
492326
5236826
done500026
01323
13323
29523
325123
466823
5140223
6318821
done500021
01625
14325
212125
339125
4125425
5332824
done500024
01839
14539
211839
326439
462639
5141839
6372939
done500039
01729
14229
210829
322929
449629
599829
6219529
7497529
done500029
01421
13619
29719
322919
448819
5113319
6275919
done500019
01729
14029
210829
323129
442329
571029
6119829
7204429
8424629
done500029
01729
14029
210829
323129
442329
571029
6119829
7204429
8424629
done500029
01527
14027
211227
331227
482327
5202227
6498227
done500027
01527
14027
211227
331227
482327
5202227
6498227
done500027
01426
13926
211126
331426
483626
5219326
done500026
01628
14128
213128
343028
4137128
5379628
done500128
01424
13624
210522
327422
462622
5118622
6303622
done500022
01650
15444
220638
385134
4468834
done500034
01222
12922
28122
330322
4155622
done500122
01932
15732
219132
372832
4418832
done500132
01737
14937
216133
369333
449717
done50007
01114
12314
27314
326314
476114
5192714
6481014
done500014
01015
12614
26314
315414
449314
5230614
done500014
0914
12114
25114
310014
419814
533914
649714
777814
8151614
9203414
10242414
11275414
12282814
done282814
0914
12414
26714
316514
446214
5215514
done500014
01029
12229
25229
310129
419929
533229
649129
777129
8151529
9203829
10243729
11276729
12284329
done284329
0914
12114
25114
310014
419814
533914
649714
777814
8151614
9203414
10242414
11275414
12282814
done282814
01041
12341
26715
325315
4184815
done500015
0914
12114
25114
310014
419814
533914
649714
777814
8151614
9203414
10242414
11275414
12282814
done282814
0914
12114
25114
310014
419814
533914
649714
777814
8151614
9203414
10242414
11275414
12282814
done282814
01117
14117
215413
366313
4261113
done500113
01241
14435
215729
351125
4167525
done500025
056
1126
2246
3336
done336
01027
13627
213021
343515
4152413
done500013
0813
11913
23813
37613
415513
523513
626113
726813
done26813
0811
11511
23511
35911
46711
57411
68411
710611
813911
920811
1022711
1124511
1229011
1333211
done33211
0811
12011
23811
35911
46811
57911
69811
712711
817011
918911
1021811
1126811
1231111
done31111
056
1126
2246
3336
done336
01011
11810
2339
3669
41559
53889
611789
748229
done50009
0910
1189
2339
3719
41569
53869
613019
done50009
089
1149
2279
3339
4399
5489
6619
7749
8839
9929
101159
111329
done1329
089
1179
2429
3769
41459
53869
613559
done50019
0919
11519
22819
33419
44019
54919
66219
77519
88419
99319
1011619
1113319
done13319
089
1149
2279
3339
4399
5489
6619
7749
8839
9929
101159
111329
done1329
0926
11626
25510
326210
4150010
done500010
089
1149
2279
3339
4399
5489
6619
7749
8839
9929
101159
111329
done1329
089
1149
2279
3339
4399
5489
6619
7749
8839
9929
101159
111329
done1329
01012
13012
210112
334012
487212
5240812
done500012
01126
13521
29921
325018
472318
5181718
6255918
7268618
8276518
9285218
10305818
11336818
12346818
13347218
done347218
055
1105
2125
done125
0917
12917
28413
320713
456213
5162113
done500013
078
1128
2188
done188
066
196
2166
done166
055
1105
2125
done125
01112
12512
26112
310112
414010
517610
623910
736810
862410
9154910
done500110
01721
14221
29715
322715
468615
5227413
done500013
01721
14221
29715
322715
468615
5227413
done500013
02435
16435
220533
357429
4156525
5405125
done500125
02739
16939
220235
371331
4282329
done500129
02739
16939
220135
372831
4262029
done500129
089
1199
2409
3519
4717
51007
61447
72397
84667
914017
done50007
089
1199
2409
3519
4717
51007
61447
72397
84667
914017
done50007
089
1199
2409
3519
4717
51007
61447
72397
84667
914017
done50007
01519
14517
213617
333917
499715
5332315
done500015
01215
13413
28213
318213
445113
5130313
6467313
done500013
01215
13215
27815
316213
432013
578813
6299513
done500113

prune205.0ms

Filtered
89 candidates to 104 candidates (-16.9%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1040104
Fresh000
Picked011
Done011
Total1042106

Merged error: 0b

Counts
106 → 2

regimes28.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01316
11716
done1716

end0.0ms

sample915.0ms

Algorithm
intervals
Results
331.0ms8000×body80valid
312.0ms7974×body80nan

Profiling

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