Details

Time bar (total: 3.9min)

sample55.0ms

Algorithm
intervals
Results
14.0ms24×body2560valid
12.0ms200×body80valid
5.0ms256×pre80true
4.0ms15×body1280valid
2.0ms10×body640valid
1.0msbody320valid
0.0msbody160valid

simplify25.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01417
12717
23317
33717
43917
54017
done4017

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 12.1b

Counts
2 → 1

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (* 0.5 (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))))
0.2b
(/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))
0.3b
(+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))
14.7b
(sqrt (+ (* (* 4.0 p) p) (* x x)))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
21×add-sqr-sqrt
20×add-cube-cbrt
18×times-frac
16×sqrt-prod
pow1
add-exp-log sqrt-div associate-/r* add-cbrt-cube add-log-exp
flip3-+ flip-+
sqrt-pow1 associate-/l*
pow1/2 associate-*r/ associate-/r/
cbrt-undiv +-commutative rem-sqrt-square frac-2neg div-exp pow-prod-down clear-num sum-log div-inv distribute-lft-out
Counts
4 → 81
Calls
4 calls:
15.0ms
(sqrt (* 0.5 (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))))
10.0ms
(/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))
13.0ms
(+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))
6.0ms
(sqrt (+ (* (* 4.0 p) p) (* x x)))

series73.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(sqrt (* 0.5 (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))))
10.0ms
(/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))
13.0ms
(+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))
9.0ms
(sqrt (+ (* (* 4.0 p) p) (* x x)))

simplify50.7s

Counts
93 → 93
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
0911
11411
21511
done1511
0911
11411
21511
done1511
01023
11523
21623
done1623
0911
11411
21511
done1511
01032
11620
22812
35312
46812
57812
610112
716612
837412
9131912
done500012
01022
11611
21711
done1711
0911
11411
21511
done1511
0911
11411
21511
done1511
0911
11411
21511
done1511
022
141
done41
0810
11310
21410
done1410
01114
13414
210312
331012
472512
5232312
done500012
01230
13826
212326
331420
463620
5106020
6173820
7273620
done500020
01020
12920
27718
314116
423414
545512
687312
7217712
done500112
0810
11410
21910
done1910
033
161
done61
0911
11411
21511
done1511
0911
11411
21511
done1511
01316
12115
22315
done2315
01215
11815
21915
done1915
01215
12115
22315
done2315
01331
11931
22031
done2031
01215
11815
21915
done1915
01344
13244
27316
318116
444516
5119416
6258116
7446316
done500116
01215
11815
21915
done1915
01215
11815
21915
done1915
01418
13618
26318
312818
432218
590418
6378918
done500018
01544
13431
26131
39931
414030
517530
619630
723730
834230
951430
1055030
1155630
1258830
1363330
1467628
15142028
done500128
01329
12729
24229
37629
413017
520917
628717
747717
8184617
done500017
01114
11814
22214
done2214
01114
11714
21814
done1814
01114
11814
22014
done2014
01013
11813
22113
32213
done2213
01013
11513
21613
done1613
01238
12626
26816
315514
425414
540214
693414
7370114
done500014
01127
11627
21727
done1727
01013
11513
21613
done1613
01138
12338
23914
37714
414214
522714
641914
7105914
8414914
done500014
01013
11513
21613
done1613
01013
11513
21613
done1613
022
done22
0911
11411
21511
done1511
01329
12429
23429
34029
done4029
01114
11614
21714
done1714
01328
12117
22417
32517
done2517
01114
11614
21714
done1714
01217
11917
22217
32317
done2317
01114
11614
21714
done1714
068
1107
2127
3135
4205
done205
01013
11513
21613
done1613
01217
11917
22217
32317
done2317
01114
11614
21714
done1714
057
195
2155
3205
done205
01013
11513
21613
done1613
01226
11926
22026
done2026
01114
11614
21714
done1714
01225
11814
21914
done1914
01114
11614
21714
done1714
01114
11614
21714
done1714
01114
11614
21714
done1714
055
174
done74
01013
11513
21613
done1613
01114
11614
21714
done1714
01114
11614
21714
done1714
044
162
282
done82
01013
11513
21613
done1613
01225
12125
22225
done2225
01013
11513
21613
done1613
01224
12013
22113
done2113
01013
11513
21613
done1613
01113
11813
21913
done1913
01013
11513
21613
done1613
034
153
done53
0912
11412
21512
done1512
01113
11813
21913
done1913
01013
11513
21613
done1613
023
141
done41
0912
11412
21512
done1512
01012
11712
21812
done1812
0912
11412
21512
done1512
01125
11825
21925
done1925
01124
11713
21813
done1813
01013
11513
21613
done1613
044
163
done63
01013
11513
21613
done1613
033
151
done51
01013
11513
21613
done1613
01013
11513
21613
done1613
0912
11412
21512
done1512
01216
13516
210414
331314
471214
5225814
done500014
01122
13022
27620
314318
423616
545414
688014
7218614
done500114
01518
12818
23418
33818
44018
54118
done4118
01518
12818
23418
33818
44018
54118
done4118
01637
12937
23537
33937
44137
54237
done4237
01518
12818
23418
33818
44018
54118
done4118
01653
13034
25319
38519
411219
514819
618319
724719
845619
9139019
done500019
022
done22
01215
11815
21915
done1915
01721
14621
210221
324521
471921
5252721
done500021
01645
13532
26232
310032
414131
517631
619731
723831
834331
951531
1055231
1155831
1259031
1363531
1467829
15142829
done500029
01632
13132
25632
312532
429020
558820
697820
7156120
8464020
done500020
01215
11915
22315
done2315
033
161
done61
033
161
done61
01518
12818
23418
33818
44018
54118
done4118
01518
12818
23418
33818
44018
54118
done4118
011
done11
044
154
done54
066
1115
2235
done235
011
done11
011
done11
011
done11
011
done11
011
done11
011
done11
055
165
done65
055
165
done65
011
done11

prune235.0ms

Filtered
75 candidates to 93 candidates (-24.0%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New831093
Fresh000
Picked101
Done000
Total841094

Merged error: 11.8b

Counts
94 → 10

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x))))
0.2b
(* x (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x)))))
2.7b
(+ 1.0 (* x (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x))))))
14.7b
(sqrt (+ (* (* 4.0 p) p) (* x x)))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
47×add-sqr-sqrt
40×times-frac
36×*-un-lft-identity
34×add-cube-cbrt
26×sqrt-prod
24×associate-*r*
17×add-exp-log
11×add-cbrt-cube
pow1
sqrt-div associate-/r* add-log-exp
unswap-sqr
flip3-+ div-exp prod-exp associate-/r/ flip-+
pow-flip associate-*l* associate-/l*
cbrt-undiv rec-exp sqrt-pow1 pow1/2 1-exp cbrt-unprod div-inv
+-commutative rem-sqrt-square frac-2neg associate-*r/ pow-prod-down clear-num sum-log un-div-inv *-commutative inv-pow
Counts
4 → 122
Calls
4 calls:
9.0ms
(/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x))))
15.0ms
(* x (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x)))))
3.0ms
(+ 1.0 (* x (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x))))))
6.0ms
(sqrt (+ (* (* 4.0 p) p) (* x x)))

series45.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x))))
10.0ms
(* x (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x)))))
17.0ms
(+ 1.0 (* x (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x))))))
9.0ms
(sqrt (+ (* (* 4.0 p) p) (* x x)))

simplify1.2min

Counts
134 → 134
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
0911
11411
21511
done1511
0911
11411
21511
done1511
01023
11523
21623
done1623
0911
11411
21511
done1511
01032
11620
22812
35312
46812
57812
610112
716612
837412
9131912
done500012
01022
11611
21711
done1711
0911
11411
21511
done1511
0911
11411
21511
done1511
0911
11411
21511
done1511
022
141
done41
0810
11310
21410
done1410
01114
13414
210312
331012
472512
5232312
done500012
01230
13826
212326
331420
463620
5106020
6173820
7273620
done500020
01020
12920
27718
314116
423414
545512
687312
7217712
done500112
0810
11410
21910
done1910
033
161
done61
0911
11411
21511
done1511
0911
11411
21511
done1511
01518
13017
24115
35615
410815
522615
657515
7183715
done500015
01417
12517
22915
33015
43515
53615
done3615
01417
12817
23715
34515
47115
513815
630415
779715
8254115
done500015
01535
12635
23031
33131
43631
53731
done3731
01417
12517
22915
33015
43515
53615
done3615
01550
13950
29916
330116
491116
5251616
done500016
01417
12517
22915
33015
43515
53615
done3615
01417
12517
22915
33015
43515
53615
done3615
01620
14320
29618
323418
455418
5164318
done500018
01750
14335
211331
323631
441130
556330
666030
775530
8111730
9172630
10191730
11193730
12229530
13389128
done500128
01533
13633
28629
320129
438717
580517
6124917
7162717
8336417
done500017
01316
12516
23814
34714
46114
58014
68314
78714
88914
done8914
01114
12114
22512
32612
43112
53212
done3212
01215
11914
22014
done2014
01316
12315
23414
34314
46114
58714
69214
710114
811314
done11314
01417
12616
23414
35114
46914
59514
610014
710914
812614
done12614
01316
12515
23214
34314
45514
58714
610614
711314
812514
done12514
01215
12515
23513
34113
45913
57113
610213
711013
812413
done12413
01215
12415
23413
34513
48313
516813
640413
7122213
8445213
done500113
01644
13728
29316
329516
464616
5119514
6335614
done500014
01444
13444
28418
321218
448914
597514
6226914
done500014
01331
12331
22727
32827
43327
53427
done3427
01215
12215
22613
32713
43213
53313
done3313
01344
13244
28714
320914
442114
562414
6122014
7339514
done500014
01215
12215
22613
32713
43213
53313
done3313
01215
12215
22613
32713
43213
53313
done3313
01316
12116
22216
done2216
01316
12116
22216
done2216
01417
12416
22816
33214
44314
54414
done4414
01417
12416
22816
33214
44314
54414
done4414
01417
12416
22816
33214
44314
54414
done4414
01417
12416
22816
33214
44314
54414
done4414
01316
12316
22714
34214
44314
done4314
01316
12316
22714
34214
44314
done4314
01316
12316
22714
34214
44314
done4314
01316
12316
22714
34214
44314
done4314
01329
12329
22629
done2629
01215
12015
22115
done2115
01531
13129
26127
39525
410525
510625
done10625
01530
12817
23915
35213
45313
done5313
01419
12617
23715
35013
45113
done5113
0710
1147
2235
3401
done401
01419
12617
23715
35013
45113
done5113
069
1135
2283
3321
4331
done331
01428
12627
23827
35225
47725
59225
done9225
01427
12515
22915
33313
43913
54013
done4013
01316
12315
22715
33113
43713
53813
done3813
057
1103
2151
done151
01316
12315
22715
33113
43713
53813
done3813
056
1103
2151
done151
01327
12527
23625
34425
46425
59725
610025
done10025
01326
12415
22813
32913
43413
53513
done3513
01215
12215
22613
32713
43213
53313
done3313
056
1105
2123
3131
done131
01215
12215
22613
32713
43213
53313
done3313
045
193
2141
done141
033
161
done61
033
161
done61
01418
14218
211414
331414
472414
5223114
done500114
01324
13724
28720
315220
425316
546314
684514
7192414
done500114
01215
12215
22613
34113
44213
done4213
01215
12215
22613
34113
44213
done4213
01114
12114
22512
32612
43112
53212
done3212
033
161
done61
022
131
done31
022
151
done51
044
1102
2111
done111
01012
11512
21612
done1612
01113
11812
22312
32512
43112
53612
done3612
01214
12113
22312
32912
43512
54012
done4012
01113
12212
22412
32812
43012
53612
64112
done4112
01113
11813
21913
done1913
01438
12922
25114
39614
414914
518214
629514
770714
8209714
done500114
01227
11927
22027
done2027
01113
11813
21913
done1913
01238
12638
24314
38014
49614
513314
621514
741814
8102914
9335614
done500114
01113
11813
21913
done1913
01113
11813
21913
done1913
022
151
done51
0911
11411
21511
done1511
01429
12727
23725
34325
done4325
01214
11913
22013
done2013
01428
12415
22713
32813
done2813
01214
11913
22013
done2013
01317
12215
22513
32613
done2613
01214
11913
22013
done2013
058
195
2103
3131
done131
01113
11812
21912
done1912
01317
12215
22513
32613
done2613
01214
11913
22013
done2013
047
183
2121
done121
01113
11812
21912
done1912
01326
12225
22325
done2325
01214
11913
22013
done2013
01325
12113
22213
done2213
01214
11913
22013
done2013
01214
11913
22013
done2013
01214
11913
22013
done2013
035
151
done51
01113
11812
21912
done1912
01214
11913
22013
done2013
01214
11913
22013
done2013
034
151
done51
01113
11812
21912
done1912
01225
12125
22225
done2225
01113
11813
21913
done1913
01224
12013
22113
done2113
01113
11813
21913
done1913
01113
11813
21913
done1913
01113
11813
21913
done1913
034
153
done53
01012
11712
21812
done1812
01113
11813
21913
done1913
01113
11813
21913
done1913
023
141
done41
01012
11712
21812
done1812
01012
11712
21812
done1812
01012
11710
22010
done2010
01225
12125
22225
done2225
01224
12013
22113
done2113
01113
11813
21913
done1913
034
153
done53
01113
11813
21913
done1913
023
141
done41
01113
11812
21912
done1912
01113
11812
21912
done1912
01012
11710
22010
done2010
01316
13816
210714
330414
471214
5223714
done500014
01222
13322
28120
314718
424516
545514
688414
7218714
done500014
011
done11
044
154
done54
066
1115
2235
done235
011
done11
011
done11
011
done11
011
done11
011
done11
011
done11
011
done11
011
done11
011
done11

prune253.0ms

Filtered
84 candidates to 134 candidates (-59.5%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New1304134
Fresh369
Picked101
Done000
Total13410144

Merged error: 11.8b

Counts
144 → 10

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(log (exp (sqrt (* 0.5 (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))))))
0.2b
(/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))
0.3b
(+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))
14.7b
(sqrt (+ (* (* 4.0 p) p) (* x x)))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
24×*-un-lft-identity
23×add-sqr-sqrt
22×add-cube-cbrt
18×times-frac
16×sqrt-prod
pow1 add-exp-log associate-/r* add-cbrt-cube add-log-exp
log-pow
exp-prod sqrt-div
log-prod flip3-+ flip-+ associate-/l*
associate-/r/
cbrt-undiv +-commutative rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 div-exp rem-log-exp clear-num sum-log div-inv distribute-lft-out
Counts
4 → 84
Calls
4 calls:
2.0ms
(log (exp (sqrt (* 0.5 (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))))))
9.0ms
(/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))
14.0ms
(+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))
6.0ms
(sqrt (+ (* (* 4.0 p) p) (* x x)))

series67.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(log (exp (sqrt (* 0.5 (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))))))
10.0ms
(/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))
14.0ms
(+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))
8.0ms
(sqrt (+ (* (* 4.0 p) p) (* x x)))

simplify44.0s

Counts
96 → 96
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
0911
11411
21511
done1511
0911
11411
21511
done1511
01023
11523
21623
done1623
0911
11411
21511
done1511
01032
11620
22812
35312
46812
57812
610112
716612
837412
9131912
done500012
01022
11611
21711
done1711
0911
11411
21511
done1511
0911
11411
21511
done1511
0911
11411
21511
done1511
022
141
done41
0810
11310
21410
done1410
01114
13414
210312
331012
472512
5232312
done500012
01230
13826
212326
331420
463620
5106020
6173820
7273620
done500020
01020
12920
27718
314116
423414
545512
687312
7217712
done500112
0810
11410
21910
done1910
033
161
done61
0911
11411
21511
done1511
0911
11411
21511
done1511
01316
12115
22315
done2315
01215
11815
21915
done1915
01215
12115
22315
done2315
01331
11931
22031
done2031
01215
11815
21915
done1915
01344
13244
27316
318116
444516
5119416
6258116
7446316
done500116
01215
11815
21915
done1915
01215
11815
21915
done1915
01418
13618
26318
312818
432218
590418
6378918
done500018
01544
13431
26131
39931
414030
517530
619630
723730
834230
951430
1055030
1155630
1258830
1363330
1467628
15142028
done500128
01329
12729
24229
37629
413017
520917
628717
747717
8184617
done500017
01114
11814
22214
done2214
01114
11714
21814
done1814
01114
11814
22014
done2014
01013
11813
22113
32213
done2213
01013
11513
21613
done1613
01238
12626
26816
315514
425414
540214
693414
7370114
done500014
01127
11627
21727
done1727
01013
11513
21613
done1613
01138
12338
23914
37714
414214
522714
641914
7105914
8414914
done500014
01013
11513
21613
done1613
01013
11513
21613
done1613
022
done22
0911
11411
21511
done1511
01329
12429
23429
34029
done4029
01114
11614
21714
done1714
01328
12117
22417
32517
done2517
01114
11614
21714
done1714
01217
11917
22217
32317
done2317
01114
11614
21714
done1714
068
1107
2127
3135
4205
done205
01013
11513
21613
done1613
01217
11917
22217
32317
done2317
01114
11614
21714
done1714
057
195
2155
3205
done205
01013
11513
21613
done1613
01226
11926
22026
done2026
01114
11614
21714
done1714
01225
11814
21914
done1914
01114
11614
21714
done1714
01114
11614
21714
done1714
01114
11614
21714
done1714
055
174
done74
01013
11513
21613
done1613
01114
11614
21714
done1714
01114
11614
21714
done1714
044
162
282
done82
01013
11513
21613
done1613
01225
12125
22225
done2225
01013
11513
21613
done1613
01224
12013
22113
done2113
01013
11513
21613
done1613
01113
11813
21913
done1913
01013
11513
21613
done1613
034
153
done53
0912
11412
21512
done1512
01113
11813
21913
done1913
01013
11513
21613
done1613
023
141
done41
0912
11412
21512
done1512
01012
11712
21812
done1812
0912
11412
21512
done1512
01125
11825
21925
done1925
01124
11713
21813
done1813
01013
11513
21613
done1613
044
163
done63
01013
11513
21613
done1613
033
151
done51
01013
11513
21613
done1613
01013
11513
21613
done1613
0912
11412
21512
done1512
01216
13516
210414
331314
471214
5225814
done500014
01122
13022
27620
314318
423616
545414
688014
7218614
done500114
01840
13340
24122
34622
44822
54922
done4922
01720
13020
23620
34020
44220
54320
done4320
01720
13020
23620
34020
44220
54320
done4320
01720
13020
23620
34020
44220
54320
done4320
022
141
done41
01619
12917
23517
33917
44117
54217
done4217
01619
12917
23517
33917
44117
54217
done4217
01839
13337
24537
35737
48437
516037
640637
7138537
done500037
044
done42
01720
13018
23618
34018
44218
54318
done4318
033
161
done61
01720
13018
23618
34018
44218
54318
done4318
01720
13018
23618
34018
44218
54318
done4318
01841
13137
23737
34137
44337
54437
done4437
01720
13018
23618
34018
44218
54318
done4318
01859
13253
24019
36619
410119
514119
618019
725019
846419
9138619
done500119
01720
13018
23618
34018
44218
54318
done4318
01720
13018
23618
34018
44218
54318
done4318
011
done11
044
154
done54
066
1115
2235
done235
011
done11
011
done11
011
done11
011
done11
011
done11
011
done11
055
165
done65
055
165
done65
011
done11

prune268.0ms

Filtered
78 candidates to 96 candidates (-23.1%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New89796
Fresh549
Picked101
Done000
Total9511106

Merged error: 11.8b

Counts
106 → 11

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b
(* x (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x)))))
2.6b
(log (exp (sqrt (* 0.5 (+ 1.0 (* x (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x))))))))))
2.7b
(+ 1.0 (* x (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x))))))
14.7b
(sqrt (+ (* (* 4.0 p) p) (* x x)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt
24×associate-*r*
23×*-un-lft-identity
22×times-frac
21×add-cube-cbrt
15×sqrt-prod
13×add-exp-log
add-cbrt-cube
pow1
add-log-exp
log-pow unswap-sqr
exp-prod sqrt-div prod-exp
log-prod flip3-+ associate-*l* flip-+
div-exp associate-/r/ cbrt-unprod
cbrt-undiv +-commutative rem-sqrt-square rec-exp sqrt-pow1 pow1/2 1-exp associate-*r/ rem-log-exp pow-prod-down sum-log un-div-inv *-commutative div-inv
Counts
4 → 91
Calls
4 calls:
16.0ms
(* x (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x)))))
5.0ms
(log (exp (sqrt (* 0.5 (+ 1.0 (* x (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x))))))))))
3.0ms
(+ 1.0 (* x (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x))))))
6.0ms
(sqrt (+ (* (* 4.0 p) p) (* x x)))

series66.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(* x (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x)))))
35.0ms
(log (exp (sqrt (* 0.5 (+ 1.0 (* x (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x))))))))))
13.0ms
(+ 1.0 (* x (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x))))))
8.0ms
(sqrt (+ (* (* 4.0 p) p) (* x x)))

simplify1.1min

Counts
103 → 103
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
0911
11411
21511
done1511
0911
11411
21511
done1511
01023
11523
21623
done1623
0911
11411
21511
done1511
01032
11620
22812
35312
46812
57812
610112
716612
837412
9131912
done500012
01022
11611
21711
done1711
0911
11411
21511
done1511
0911
11411
21511
done1511
0911
11411
21511
done1511
022
141
done41
0810
11310
21410
done1410
01114
13414
210312
331012
472512
5232312
done500012
01230
13826
212326
331420
463620
5106020
6173820
7273620
done500020
01020
12920
27718
314116
423414
545512
687312
7217712
done500112
0810
11410
21910
done1910
033
161
done61
0911
11411
21511
done1511
0911
11411
21511
done1511
01518
13017
24115
35615
410815
522615
657515
7183715
done500015
01417
12517
22915
33015
43515
53615
done3615
01417
12817
23715
34515
47115
513815
630415
779715
8254115
done500015
01535
12635
23031
33131
43631
53731
done3731
01417
12517
22915
33015
43515
53615
done3615
01550
13950
29916
330116
491116
5251616
done500016
01417
12517
22915
33015
43515
53615
done3615
01417
12517
22915
33015
43515
53615
done3615
01620
14320
29618
323418
455418
5164318
done500018
01750
14335
211331
323631
441130
556330
666030
775530
8111730
9172630
10191730
11193730
12229530
13389128
done500128
01533
13633
28629
320129
438717
580517
6124917
7162717
8336417
done500017
01316
12516
23814
34714
46114
58014
68314
78714
88914
done8914
02044
14044
25922
37622
49422
510022
610222
710322
done10322
01922
13722
25420
36820
48620
59220
69420
79520
done9520
01922
13722
25420
36820
48620
59220
69420
79520
done9520
01922
13722
25420
36820
48620
59220
69420
79520
done9520
022
141
done41
01821
13619
25317
36917
48717
59317
69517
79617
done9617
01821
13619
25317
36917
48717
59317
69517
79617
done9617
02043
14041
26337
38737
413037
520837
645737
7142237
done500037
044
done42
01922
13720
25418
36818
48618
59218
69418
79518
done9518
033
161
done61
01922
13720
25418
36818
48618
59218
69418
79518
done9518
01922
13720
25418
36818
48618
59218
69418
79518
done9518
02045
13841
25537
36937
48737
59337
69537
79637
done9637
01922
13720
25418
36818
48618
59218
69418
79518
done9518
02065
13959
25819
39819
416319
526419
639619
750019
879719
9235619
done500019
01922
13720
25418
36818
48618
59218
69418
79518
done9518
01922
13720
25418
36818
48618
59218
69418
79518
done9518
01114
12114
22512
32612
43112
53212
done3212
01215
11914
22014
done2014
01316
12315
23414
34314
46114
58714
69214
710114
811314
done11314
01417
12616
23414
35114
46914
59514
610014
710914
812614
done12614
01316
12515
23214
34314
45514
58714
610614
711314
812514
done12514
01215
12515
23513
34113
45913
57113
610213
711013
812413
done12413
01215
12415
23413
34513
48313
516813
640413
7122213
8445213
done500113
01644
13728
29316
329516
464616
5119514
6335614
done500014
01444
13444
28418
321218
448914
597514
6226914
done500014
01331
12331
22727
32827
43327
53427
done3427
01215
12215
22613
32713
43213
53313
done3313
01344
13244
28714
320914
442114
562414
6122014
7339514
done500014
01215
12215
22613
32713
43213
53313
done3313
01215
12215
22613
32713
43213
53313
done3313
01316
12116
22216
done2216
01316
12116
22216
done2216
01417
12416
22816
33214
44314
54414
done4414
01417
12416
22816
33214
44314
54414
done4414
01417
12416
22816
33214
44314
54414
done4414
01417
12416
22816
33214
44314
54414
done4414
01316
12316
22714
34214
44314
done4314
01316
12316
22714
34214
44314
done4314
01316
12316
22714
34214
44314
done4314
01316
12316
22714
34214
44314
done4314
01329
12329
22629
done2629
01215
12015
22115
done2115
01531
13129
26127
39525
410525
510625
done10625
01530
12817
23915
35213
45313
done5313
01419
12617
23715
35013
45113
done5113
0710
1147
2235
3401
done401
01419
12617
23715
35013
45113
done5113
069
1135
2283
3321
4331
done331
01428
12627
23827
35225
47725
59225
done9225
01427
12515
22915
33313
43913
54013
done4013
01316
12315
22715
33113
43713
53813
done3813
057
1103
2151
done151
01316
12315
22715
33113
43713
53813
done3813
056
1103
2151
done151
01327
12527
23625
34425
46425
59725
610025
done10025
01326
12415
22813
32913
43413
53513
done3513
01215
12215
22613
32713
43213
53313
done3313
056
1105
2123
3131
done131
01215
12215
22613
32713
43213
53313
done3313
045
193
2141
done141
033
161
done61
033
161
done61
01418
14218
211414
331414
472414
5223114
done500114
01324
13724
28720
315220
425316
546314
684514
7192414
done500114
01215
12215
22613
34113
44213
done4213
01215
12215
22613
34113
44213
done4213
01114
12114
22512
32612
43112
53212
done3212
033
161
done61
011
done11
044
154
done54
066
1115
2235
done235
011
done11
011
done11
011
done11
055
165
done65
055
165
done65
011
done11
011
done11
011
done11
011
done11

prune215.0ms

Filtered
79 candidates to 103 candidates (-30.4%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1012103
Fresh3710
Picked101
Done000
Total1059114

Merged error: 11.8b

Counts
114 → 9

regimes361.0ms

Accuracy

0% (0.3b remaining)

Error of 12.9b against oracle of 12.6b and baseline of 12.9b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01821
12321
done2321

end0.0ms

sample1.3s

Algorithm
intervals
Results
350.0ms6092×body80valid
270.0ms783×body2560valid
164.0ms582×body1280valid
152.0ms8000×pre80true
69.0ms320×body640valid
25.0ms154×body320valid
7.0ms69×body160valid

Profiling

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