Details

Time bar (total: 5.8min)

sample20.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
2.0ms81×body80nan

simplify3.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
068
188
done88

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.2b

Counts
2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ 1.0 (sqrt (+ x 1.0)))
0.0b
(sqrt (+ x 1.0))
0.2b
(/ x (+ 1.0 (sqrt (+ x 1.0))))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
25×*-un-lft-identity
14×add-sqr-sqrt
13×add-cube-cbrt
12×times-frac
distribute-lft-out
add-exp-log add-cbrt-cube add-log-exp
pow1 associate-/r* sqrt-prod
flip3-+ flip-+ associate-/l*
sqrt-div associate-/r/
cbrt-undiv +-commutative rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 div-exp clear-num sum-log div-inv
Counts
3 → 61
Calls
3 calls:
7.0ms
(+ 1.0 (sqrt (+ x 1.0)))
4.0ms
(sqrt (+ x 1.0))
8.0ms
(/ x (+ 1.0 (sqrt (+ x 1.0))))

series30.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(+ 1.0 (sqrt (+ x 1.0)))
5.0ms
(sqrt (+ x 1.0))
20.0ms
(/ x (+ 1.0 (sqrt (+ x 1.0))))

simplify1.0min

Counts
70 → 70
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
0810
11210
21310
done1310
079
1129
2149
3159
done159
079
199
done99
01026
13326
29512
322210
453910
5181710
done500010
0819
11019
done1019
079
199
done99
0826
11726
23310
37110
415210
530110
658510
7141010
done500010
079
199
done99
079
199
done99
022
done22
067
1117
2137
3147
done147
01021
11821
22721
33321
done3321
0810
11010
done1010
0913
11313
21513
31613
done1613
0810
11010
done1010
057
195
2155
3205
done205
079
199
done99
057
195
2155
3205
done205
079
199
done99
0918
11318
done1318
0810
11010
done1010
0810
11010
done1010
0810
11010
done1010
044
162
282
done82
079
199
done99
044
162
282
done82
079
199
done99
0917
11517
done1517
079
199
done99
089
1129
done129
079
199
done99
023
141
done41
068
188
done88
023
141
done41
068
188
done88
078
1118
done118
068
188
done88
0817
11217
done1217
079
199
done99
033
151
done51
033
151
done51
079
199
done99
079
199
done99
068
188
done88
0912
12412
23312
35912
410612
522712
664212
7246512
done500012
0815
1149
2329
3599
4949
51789
64729
712569
done50019
055
165
done65
055
165
done65
0611
1711
done711
055
165
done65
0614
188
2196
3246
4306
5406
6616
71266
83396
912626
done50006
0610
185
done85
055
165
done65
055
165
done65
055
165
done65
022
141
done41
044
154
done54
022
141
done41
044
154
done54
078
1218
2308
3478
4888
52088
66138
724418
done50008
0812
11610
23110
34410
46410
58510
610210
712510
816810
923010
1023110
done23110
068
1118
2188
3338
4588
5998
61578
73258
815708
done50008
044
164
274
done74
033
161
done61
055
165
done65
055
165
done65
078
1117
2127
done127
067
187
done87
067
1117
2127
done127
0715
1915
done915
067
187
done87
0720
12220
2548
31198
43238
513338
done50008
067
187
done87
067
187
done87
0810
12310
23210
35810
410710
523410
663910
7248110
done500010
0920
11814
24614
38812
414712
523612
638012
752312
866412
991212
10111112
11141812
12161212
13165612
14191612
15215812
16220012
done220012
0713
1137
2297
3547
4877
51717
64637
712497
done50007
056
186
296
done96
056
176
done76
03169
18463
242055
3224453
done500053
03993
111493
249893
3267691
done500091
03993
111493
249893
3267091
done500191
01520
13820
211020
332020
494215
5324015
done500015
02133
15733
218233
349529
4145129
5498327
done500027
02133
15733
218233
349533
4142830
5460827
done500027
01622
14222
212722
337022
4101117
5331817
done500117
02235
16135
220435
363331
4198831
done500031
02235
16135
220235
363135
4195132
done500032

prune148.0ms

Filtered
56 candidates to 70 candidates (-25.0%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New68270
Fresh000
Picked011
Done000
Total68371

Merged error: 0b

Counts
71 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (+ 1.0 (sqrt (+ x 1.0))))
0.1b
(sqrt (+ 1.0 (sqrt (+ x 1.0))))
0.4b
(/ (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (sqrt (+ 1.0 (sqrt (+ x 1.0)))))
0.4b
(/ x (sqrt (+ 1.0 (sqrt (+ x 1.0)))))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
378×times-frac
306×*-un-lft-identity
232×sqrt-prod
192×add-sqr-sqrt
190×add-cube-cbrt
58×distribute-lft-out
30×associate-/l*
24×sqrt-div
20×associate-/r/
14×associate-/r*
12×flip3-+ flip-+
11×add-exp-log add-cbrt-cube
10×div-inv
pow1
cbrt-undiv div-exp add-log-exp
rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 clear-num
associate-/l/
Counts
4 → 317
Calls
4 calls:
7.0ms
(sqrt (+ 1.0 (sqrt (+ x 1.0))))
6.0ms
(sqrt (+ 1.0 (sqrt (+ x 1.0))))
24.0ms
(/ (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (sqrt (+ 1.0 (sqrt (+ x 1.0)))))
10.0ms
(/ x (sqrt (+ 1.0 (sqrt (+ x 1.0)))))

series86.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(sqrt (+ 1.0 (sqrt (+ x 1.0))))
12.0ms
(sqrt (+ 1.0 (sqrt (+ x 1.0))))
19.0ms
(/ (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (sqrt (+ 1.0 (sqrt (+ x 1.0)))))
37.0ms
(/ x (sqrt (+ 1.0 (sqrt (+ x 1.0)))))

simplify3.3min

Counts
329 → 329
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
0911
11311
21411
done1411
0810
11310
21510
31610
done1610
0810
11010
done1010
01129
12220
26313
313011
421611
534211
681111
7342011
done500011
0921
11121
done1121
0810
11010
done1010
0929
11829
23411
37211
413711
522711
636111
787511
8364611
done500011
0810
11010
done1010
0810
11010
done1010
022
done22
078
198
done98
01123
11923
22823
33423
done3423
0911
11111
done1111
01122
11614
21814
31914
done1914
0911
11111
done1111
01014
11414
21614
31714
done1714
0911
11111
done1111
068
1107
2127
3135
4205
done205
0810
11010
done1010
068
1107
2127
3135
4205
done205
0810
11010
done1010
01014
11414
21614
31714
done1714
0911
11111
done1111
057
195
2155
3205
done205
0810
11010
done1010
01020
11420
done1420
0911
11111
done1111
01019
11311
done1311
0911
11111
done1111
0911
11111
done1111
0911
11111
done1111
055
174
done74
0810
11010
done1010
055
174
done74
0810
11010
done1010
0911
11111
done1111
0911
11111
done1111
044
162
282
done82
0810
11010
done1010
01019
11619
done1619
0810
11010
done1010
01018
11510
done1510
0810
11010
done1010
0910
11310
done1310
0810
11010
done1010
034
153
done53
079
199
done99
034
153
done53
079
199
done99
0910
11310
done1310
0810
11010
done1010
023
141
done41
079
199
done99
089
1129
done129
079
199
done99
0919
11319
done1319
0918
11210
done1210
0810
11010
done1010
044
163
done63
044
163
done63
0810
11010
done1010
033
151
done51
0810
11010
done1010
0810
11010
done1010
079
199
done99
01013
12513
23413
36013
410913
522713
663813
7247513
done500013
0916
11510
23110
35610
48910
517310
647110
7123910
done500010
01020
11720
22913
34113
45013
55913
67313
78313
88613
done8613
01019
11619
22219
33513
44813
55513
66513
77313
88313
98613
done8613
0918
11618
2229
3319
4439
5549
6619
7719
8799
9899
10929
done929
0918
11318
done139
01253
12735
210623
339012
495110
5246710
done500110
01253
12944
29321
327810
467910
5167110
done500110
01037
11437
done1419
0918
11318
done139
01053
12153
25210
314610
446110
599510
6242310
done500010
0918
11318
done139
0918
11318
done139
0810
11210
done1210
078
198
done98
01239
12039
22939
33539
done3539
01019
11219
done1219
01338
11830
22030
32130
done2130
01119
11319
done1319
01130
11530
21730
31830
done1830
01019
11219
done1219
01224
11823
22023
32121
42821
done2821
0918
11118
done1118
01224
11823
22023
32121
42821
done2821
0918
11118
done1118
01130
11530
21730
31830
done1830
01019
11219
done1219
01123
11721
22321
32821
done2821
0918
11118
done1118
01128
11528
done1528
01019
11219
done1219
01227
11519
done1519
01119
11319
done1319
01019
11219
done1219
01019
11219
done1219
01113
11512
done1512
0918
11118
done1118
01113
11512
done1512
0918
11118
done1118
01019
11219
done1219
01019
11219
done1219
01012
11410
21610
done1610
0918
11118
done1118
01241
12441
25241
39325
411716
514916
624216
755116
8164216
done500016
01020
11420
done1420
01540
12632
24932
38632
412732
513132
done13132
01220
11620
21920
done1920
01332
12332
24632
38332
412432
513032
done13032
01120
11520
21820
done1820
01426
12625
24925
38423
412423
done12423
01019
11419
21719
done1719
01426
12625
24925
38423
412423
done12423
01019
11419
21719
done1719
01332
12332
24632
38332
412432
513032
done13032
01120
11520
21820
done1820
01325
12523
25223
310123
413123
done13123
01019
11419
21719
done1719
01540
12432
24032
37632
411532
512532
done12532
01220
11620
21920
done1920
01239
11923
22621
33821
44921
55121
done5121
01020
11420
done1410
01431
12123
23223
34523
45523
done5523
01220
11620
21920
done1920
01425
12316
23416
34714
46714
done6714
01119
11519
21819
done1819
01425
12316
23416
34714
46714
done6714
01119
11519
21819
done1819
01431
12123
23223
34523
45523
done5523
01220
11620
21920
done1920
01324
12214
23714
35414
46414
done6414
01119
11519
21819
done1819
01332
12132
23732
37332
411432
512432
done12432
01120
11520
21820
done1820
01431
12123
23223
34523
45523
done5523
01220
11620
21920
done1920
01123
11723
22413
33113
43413
done3413
01020
11420
done1410
01317
12116
23216
34514
46514
done6514
01019
11419
21719
done1719
01317
12116
23216
34514
46514
done6514
01019
11419
21719
done1719
01123
11723
22413
33113
43413
done3413
01020
11420
done1410
01216
12014
23514
35214
46214
done6214
01019
11419
21719
done1719
01426
12425
24025
37323
411023
511123
done11123
01019
11419
21719
done1719
01425
12316
23416
34714
46514
56614
done6614
01119
11519
21819
done1819
01317
12116
23216
34514
46314
done6314
01019
11419
21719
done1719
0711
1139
2207
3275
done275
0918
11318
done139
0711
1139
2207
3275
done275
0918
11318
done139
01317
12116
23216
34514
46314
done6314
01019
11419
21719
done1719
0710
1137
2237
3305
done305
0918
11318
done139
01426
12425
24025
37323
411023
511123
done11123
01019
11419
21719
done1719
01425
12316
23416
34714
46514
56614
done6614
01119
11519
21819
done1819
01317
12116
23216
34514
46314
done6314
01019
11419
21719
done1719
0711
1139
2207
3275
done275
0918
11318
done139
0711
1139
2207
3275
done275
0918
11318
done139
01317
12116
23216
34514
46314
done6314
01019
11419
21719
done1719
0710
1137
2237
3305
done305
0918
11318
done139
01332
12132
23732
37332
411432
512432
done12432
01120
11520
21820
done1820
01431
12123
23223
34523
45523
done5523
01220
11620
21920
done1920
01123
11723
22413
33113
43413
done3413
01020
11420
done1410
01317
12116
23216
34514
46514
done6514
01019
11419
21719
done1719
01317
12116
23216
34514
46514
done6514
01019
11419
21719
done1719
01123
11723
22413
33113
43413
done3413
01020
11420
done1410
01216
12014
23514
35214
46214
done6214
01019
11419
21719
done1719
01325
12323
25223
310923
412523
done12523
01019
11419
21719
done1719
01324
12214
24214
36414
46514
done6514
01119
11519
21819
done1819
01216
12014
24014
36214
46314
done6314
01019
11419
21719
done1719
0710
1135
2285
3355
done355
0918
11318
done139
0710
1135
2285
3355
done355
0918
11318
done139
01216
12014
24014
36214
46314
done6314
01019
11419
21719
done1719
069
1125
2165
3215
done215
0918
11318
done139
01138
11938
22638
33022
43913
55813
69613
720613
852813
9187513
done500013
01020
11420
done1420
01437
12129
22729
33529
done3529
01220
11620
21920
done1920
01229
11829
22429
33229
done3229
01120
11520
21820
done1820
01323
12122
22722
33520
44220
done4220
01019
11419
21719
done1719
01323
12122
22722
33520
44220
done4220
01019
11419
21719
done1719
01229
11829
22429
33229
done3229
01120
11520
21820
done1820
01222
12020
23020
34620
done4620
01019
11419
21719
done1719
01437
12129
22729
33329
done3329
01220
11620
21920
done1920
01136
11620
done1618
01020
11420
done1410
01328
11820
22120
done2120
01220
11620
21920
done1920
01322
12013
22313
done2311
01119
11519
21819
done1819
01322
12013
22313
done2311
01119
11519
21819
done1819
01328
11820
22120
done2120
01220
11620
21920
done1920
01221
11911
22611
32811
done2811
01119
11519
21819
done1819
01229
11829
22429
33029
done3029
01120
11520
21820
done1820
01328
11820
22120
done2120
01220
11620
21920
done1920
01020
11420
done1410
01020
11420
done1410
01214
11813
22113
done2111
01019
11419
21719
done1719
01214
11813
22113
done2111
01019
11419
21719
done1719
01020
11420
done1410
01020
11420
done1410
01113
11711
22411
32611
done2611
01019
11419
21719
done1719
01323
12122
22722
33320
44320
done4320
01019
11419
21719
done1719
01322
12013
22313
done2311
01119
11519
21819
done1819
01214
11813
22113
done2111
01019
11419
21719
done1719
068
1106
done104
0918
11318
done139
068
1106
done104
0918
11318
done139
01214
11813
22113
done2111
01019
11419
21719
done1719
067
1104
2134
done132
0918
11318
done139
01323
12122
22722
33320
44320
done4320
01019
11419
21719
done1719
01322
12013
22313
done2311
01119
11519
21819
done1819
01214
11813
22113
done2111
01019
11419
21719
done1719
068
1106
done104
0918
11318
done139
068
1106
done104
0918
11318
done139
01214
11813
22113
done2111
01019
11419
21719
done1719
067
1104
2134
done132
0918
11318
done139
01229
11829
22429
33029
done3029
01120
11520
21820
done1820
01328
11820
22120
done2120
01220
11620
21920
done1920
01020
11420
done1410
01020
11420
done1410
01214
11813
22113
done2111
01019
11419
21719
done1719
01214
11813
22113
done2111
01019
11419
21719
done1719
01020
11420
done1410
01020
11420
done1410
01113
11711
22411
32611
done2611
01019
11419
21719
done1719
01222
12020
22920
33720
done3720
01019
11419
21719
done1719
01221
11911
22511
done2511
01119
11519
21819
done1819
01113
11711
22311
done2311
01019
11419
21719
done1719
067
1102
2162
done162
0918
11318
done139
067
1102
2162
done162
0918
11318
done139
01113
11711
22311
done2311
01019
11419
21719
done1719
056
192
done92
0918
11318
done139
01137
12137
22837
33221
44012
55712
69512
720412
852512
9186812
done500012
0919
11319
done1319
01436
12328
22928
33728
done3728
01119
11519
21819
done1819
01228
12028
22628
33428
done3428
01019
11419
21719
done1719
01222
12021
22619
33819
done3819
0918
11318
21618
done1618
01222
12021
22619
33819
done3819
0918
11318
21618
done1618
01228
12028
22628
33428
done3428
01019
11419
21719
done1719
01121
11919
22919
33919
done3919
0918
11318
21618
done1618
01436
12328
22928
33528
done3528
01119
11519
21819
done1819
01135
11819
done1817
0919
11319
done139
01327
12019
22319
done2319
01119
11519
21819
done1819
01221
11912
22210
32610
done2610
01018
11418
21718
done1718
01221
11912
22210
32610
done2610
01018
11418
21718
done1718
01327
12019
22319
done2319
01119
11519
21819
done1819
01120
11810
22510
done2510
01018
11418
21718
done1718
01228
12028
22628
33228
done3228
01019
11419
21719
done1719
01327
12019
22319
done2319
01119
11519
21819
done1819
01019
11619
done169
0919
11319
done139
01113
11712
22010
32410
done2410
0918
11318
21618
done1618
01113
11712
22010
32410
done2410
0918
11318
21618
done1618
01019
11619
done169
0919
11319
done139
01012
11610
22310
done2310
0918
11318
21618
done1618
01222
12021
22621
33219
44219
done4219
0918
11318
21618
done1618
01221
11912
22212
done2210
01018
11418
21718
done1718
01113
11712
22012
done2010
0918
11318
21618
done1618
047
185
done83
0817
11217
done128
047
185
done83
0817
11217
done128
01113
11712
22012
done2010
0918
11318
21618
done1618
046
183
2111
done111
0817
11217
done128
01222
12021
22621
33219
44219
done4219
0918
11318
21618
done1618
01221
11912
22212
done2210
01018
11418
21718
done1718
01113
11712
22012
done2010
0918
11318
21618
done1618
047
185
done83
0817
11217
done128
047
185
done83
0817
11217
done128
01113
11712
22012
done2010
0918
11318
21618
done1618
046
183
2111
done111
0817
11217
done128
01228
12028
22628
33228
done3228
01019
11419
21719
done1719
01327
12019
22319
done2319
01119
11519
21819
done1819
01019
11619
done169
0919
11319
done139
01113
11712
22010
32410
done2410
0918
11318
21618
done1618
01113
11712
22010
32410
done2410
0918
11318
21618
done1618
01019
11619
done169
0919
11319
done139
01012
11610
22310
done2310
0918
11318
21618
done1618
01121
11919
22319
33319
43419
done3419
0918
11318
21618
done1618
01120
11810
22010
32410
done2410
01018
11418
21718
done1718
01012
11610
21810
32210
done2210
0918
11318
21618
done1618
046
181
done81
0817
11217
done128
046
181
done81
0817
11217
done128
01012
11610
21810
32210
done2210
0918
11318
21618
done1618
035
171
done71
0817
11217
done128
01019
11619
done1619
0918
11318
21618
done1618
01018
11510
done1510
01018
11418
21718
done1718
0910
11310
done1310
0918
11318
21618
done1618
034
153
done53
0817
11217
done128
034
153
done53
0817
11217
done128
0910
11310
done1310
0918
11318
21618
done1618
023
141
done41
0817
11217
done128
0919
11319
done1319
01018
11618
21918
done1918
0918
11210
done1210
01118
11718
22018
done2018
0810
11010
done1010
01018
11618
21918
done1918
044
163
done63
0917
11517
done158
044
163
done63
0917
11517
done158
0810
11010
done1010
01018
11618
21918
done1918
033
151
done51
0917
11517
done158
01531
13531
25031
38231
412931
525431
667031
7250831
done500031
01430
12424
25224
39422
415322
524222
638622
752822
867122
991922
10111922
11143822
12163622
13168022
14194022
15218222
16222422
done222422
01530
13422
24622
37222
411922
524422
666122
7251322
done500122
01430
12424
25224
39422
415322
524222
638622
752822
867122
991922
10111922
11143822
12163622
13168022
14194022
15218222
16222422
done222422
01422
13222
24422
37022
411722
524122
665522
7251222
done500022
01430
12424
25224
39422
415322
524222
638622
752822
867122
991922
10111922
11143822
12163622
13168022
14194022
15218222
16222422
done222422
01316
13215
24415
37013
412113
524813
665413
7250413
done500013
01329
12323
25123
39321
415321
524221
638621
752821
866921
991721
10111721
11143221
12162621
13167021
14193021
15217221
16221421
done221421
01316
13215
24415
37013
412113
524813
665413
7250413
done500013
01329
12323
25123
39321
415321
524221
638621
752821
866921
991721
10111721
11143221
12162621
13167021
14193021
15217221
16221421
done221421
01422
13222
24422
37022
411722
524122
665522
7251222
done500022
01430
12424
25224
39422
415322
524222
638622
752822
867122
991922
10111922
11143822
12163622
13168022
14194022
15218222
16222422
done222422
01215
13113
24713
37513
412213
524813
666713
7250513
done500013
01329
12323
25123
39321
415321
524221
638621
752821
866921
991721
10111721
11143221
12162621
13167021
14193021
15217221
16221421
done221421
01434
12428
24528
37628
410928
519328
649128
7129228
done500128
01016
11416
21516
done1516
01433
12319
24119
36619
49919
518319
647719
7123619
done500119
01016
11416
21516
done1516
01325
12119
23919
36419
49919
518319
647919
7126919
done500119
01016
11416
21516
done1516
01219
12212
24112
36610
410310
518710
647910
7123910
done500110
0915
11315
21415
done1415
01219
12212
24112
36610
410310
518710
647910
7123910
done500110
0915
11315
21415
done1415
01325
12119
23919
36419
49919
518319
647919
7126919
done500119
01016
11416
21516
done1516
01118
12110
24410
37110
410410
518810
648410
7128110
done500010
0915
11315
21415
done1415
089
1129
done129
0817
11217
21517
done158
01027
11627
22227
32827
done2827
01126
11618
21918
done1918
0918
11318
21618
done1618
01012
11611
21911
done199
01012
11611
21911
done199
0918
11318
21618
done1618
0911
1159
2229
3249
done249
0918
11118
done1118
0918
11118
done1118
01019
11419
21719
31819
42019
52219
62319
done2319
01119
11519
21819
31919
42119
52319
62419
done2419
01019
11419
21719
31819
42019
52219
62319
done2319
0918
11318
21618
done169
0918
11318
21618
done169
01019
11419
21719
31819
42019
52219
62319
done2319
0918
11318
21618
done169
01019
11419
21719
31819
42019
52219
62319
done2319
01119
11519
21819
31919
42119
52319
62419
done2419
01019
11419
21719
31819
42019
52219
62319
done2319
0918
11318
21618
done169
0918
11318
21618
done169
01019
11419
21719
31819
42019
52219
62319
done2319
0918
11318
21618
done169
0918
11318
21618
31718
41918
52118
62218
done2218
01018
11418
21718
31818
42018
52218
62318
done2318
0918
11318
21618
31718
41918
52118
62218
done2218
0817
11217
21517
done158
0817
11217
21517
done158
0918
11318
21618
31718
41918
52118
62218
done2218
0817
11217
21517
done158
0817
11217
21517
done158
0917
11517
21815
3226
4246
done246
01329
12323
25123
39321
415121
524021
638021
752021
866121
990921
10110921
11141821
12161421
13165821
14191821
15216021
16220221
done220221
0915
11315
21415
done1415
01321
13121
24321
36921
411621
524421
665821
7249821
done500021
01224
12018
23818
36318
410018
518418
649218
7127318
done500018
0715
196
2106
done106
078
198
done98
078
198
done98
0817
11017
done1017
078
198
done98
0823
11114
2229
3279
4339
5439
6649
71269
83469
912679
done50009
0816
1118
done118
078
198
done98
078
198
done98
078
198
done98
022
141
done41
067
187
done87
022
141
done41
067
187
done87
0911
12411
23311
35911
410811
523411
664511
7246011
done500011
01021
11915
24715
38913
414813
523713
638113
752413
866713
991313
10111213
11141713
12161313
13165713
14191713
15215913
16220113
done220113
0814
1148
2308
3558
4888
51728
64648
712628
done50018
067
197
2107
done107
033
161
done61
078
198
done98
078
198
done98
078
198
done98
078
198
done98
0817
11017
done1017
078
198
done98
0823
11114
2229
3279
4339
5439
6649
71269
83469
912679
done50009
0816
1118
done118
078
198
done98
078
198
done98
078
198
done98
022
141
done41
067
187
done87
022
141
done41
067
187
done87
0911
12411
23311
35911
410811
523411
664511
7246011
done500011
01021
11915
24715
38913
414813
523713
638113
752413
866713
991313
10111213
11141713
12161313
13165713
14191713
15215913
16220113
done220113
0814
1148
2308
3558
4888
51728
64648
712628
done50018
067
197
2107
done107
033
161
done61
078
198
done98
078
198
done98
03681
19381
239476
3293160
done500060
054119
1139119
2412119
3158392
done500092
054119
1139119
2412119
3158392
done500192
03169
18463
242055
3224453
done500053
03993
111493
249893
3267691
done500091
03993
111493
249893
3267091
done500191
03460
18060
225257
3103949
done500044
054121
1143121
2499121
32471105
done5001105
054121
1143121
2499121
3248098
done500098
03460
18060
225257
3103949
done500044
054121
1143121
2499121
32471105
done5001105
054121
1143121
2499121
3248098
done500098

prune749.0ms

Filtered
175 candidates to 329 candidates (-88.0%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New3290329
Fresh011
Picked011
Done011
Total3293332

Merged error: 0b

Counts
332 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ x 1.0))
0.0b
(+ 1.0 (sqrt (+ x 1.0)))
0.0b
(/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))
0.2b
(* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
69×*-un-lft-identity
56×add-sqr-sqrt
52×times-frac
39×add-cube-cbrt sqrt-prod
30×associate-*r*
15×distribute-lft-out
11×add-exp-log add-cbrt-cube
pow1
associate-*l* associate-/l* add-log-exp unswap-sqr
flip3-+ associate-/r* associate-/r/ flip-+
cbrt-undiv sqrt-div div-exp prod-exp cbrt-unprod div-inv
+-commutative rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 associate-*r/ pow-prod-down clear-num sum-log *-commutative
Counts
4 → 132
Calls
4 calls:
4.0ms
(sqrt (+ x 1.0))
7.0ms
(+ 1.0 (sqrt (+ x 1.0)))
10.0ms
(/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))
24.0ms
(* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))

series75.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(sqrt (+ x 1.0))
11.0ms
(+ 1.0 (sqrt (+ x 1.0)))
42.0ms
(/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))
18.0ms
(* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))

simplify1.5min

Counts
144 → 144
Iterations

Useful iterations: done (1.0ms)

IterNodesCost
0812
11312
2158
done158
01015
11715
22313
32913
43413
54213
65713
76913
88113
99313
109413
done9413
01014
11514
22114
32913
43613
54413
65913
77113
88313
99513
109613
done9613
0913
11713
2249
3339
4449
5519
6599
7739
8859
9979
101079
111089
121119
131169
141219
done1219
0913
11613
2249
3349
4719
51539
63619
713819
done50009
01238
14030
213814
342312
4100812
5259110
done500010
01238
12734
27016
318816
450710
5110510
6274710
done500110
01027
11527
21719
done1719
0913
11413
2169
done169
01038
12438
27110
319710
448310
5122210
6279310
done500010
0913
11413
2169
done169
0913
11413
2169
done169
01014
11314
done1314
01014
11314
done1314
01015
11515
21710
31810
done1810
01015
11515
21710
31810
done1810
01015
11515
21710
31810
done1810
01015
11515
21710
31810
done1810
01014
11314
done1314
01014
11314
done1314
01015
11515
21710
31810
done1810
01015
11515
21710
31810
done1810
01015
11515
21710
31810
done1810
01015
11515
21710
31810
done1810
01024
11524
21724
done1724
0913
11213
done1213
01226
12326
25226
39126
414726
516126
done16126
01118
11818
22818
34318
45618
55818
done5818
0712
11410
23110
36810
49810
done9810
0712
11410
23110
36810
49810
done9810
01325
12122
23222
34622
45822
done5822
01217
11814
22114
32514
42614
done2614
0811
1146
2216
3306
4366
done366
0811
1146
2216
3306
4366
done366
01122
11822
22922
34322
45522
done5522
01014
11514
21814
32214
42314
done2314
068
1116
2186
3276
4336
done336
068
1116
2186
3276
4336
done336
01221
12120
23220
34618
48318
59118
done9118
01113
11812
22112
32510
43610
done3610
067
1114
2162
3202
done202
067
1114
2162
3202
done202
01122
11822
22922
34322
45522
done5522
01014
11514
21814
32214
42314
done2314
068
1116
2186
3276
4336
done336
068
1116
2186
3276
4336
done336
01120
12020
23018
35918
47718
57818
done7818
01012
11712
22010
33510
43810
done3810
056
1104
2152
3192
done192
056
1104
2152
3192
done192
044
172
2102
done102
035
done31
01116
12916
24012
36612
411312
523112
664612
7249512
done500012
01019
11913
2439
3899
41439
52839
66469
715659
done50019
0913
11413
21713
32113
42213
done2213
01013
11513
21813
32213
42313
done2313
0913
11413
21713
32113
42213
done2213
0812
11312
2158
done158
0913
11413
21713
32113
42213
done2213
0812
11312
2158
done158
035
done31
0911
11311
21411
done1411
0810
11310
21510
31610
done1610
0810
11010
done1010
01129
13425
29113
319313
447013
5167213
done500113
0921
11121
done1121
0810
11010
done1010
0929
11829
23411
37211
415111
529811
657311
7136411
done500011
0810
11010
done1010
0810
11010
done1010
033
done33
067
1117
2137
3147
done147
01123
11923
22823
33423
done3423
0911
11111
done1111
01015
11415
21615
31715
done1715
0911
11111
done1111
069
1107
2167
3217
done217
0810
11010
done1010
069
1107
2167
3217
done217
0810
11010
done1010
01122
11619
done1619
0911
11111
done1111
01014
11311
done1311
0911
11111
done1111
068
193
2113
done113
0810
11010
done1010
068
193
2113
done113
0810
11010
done1010
01019
11419
done1419
0911
11111
done1111
0911
11111
done1111
0911
11111
done1111
055
173
293
done93
0810
11010
done1010
055
173
293
done93
0810
11010
done1010
01018
11617
done1617
0810
11010
done1010
0910
1139
done139
0810
11010
done1010
034
151
done51
079
199
done99
034
151
done51
079
199
done99
01019
11419
done1419
0911
11111
done1111
0911
11111
done1111
0911
11111
done1111
055
173
293
done93
0810
11010
done1010
055
173
293
done93
0810
11010
done1010
0917
11517
done1517
0810
11010
done1010
089
1129
done129
0810
11010
done1010
023
141
done41
079
199
done99
023
141
done41
079
199
done99
078
1118
done118
079
199
done99
0918
11318
done1318
0810
11010
done1010
044
162
282
done82
044
162
282
done82
0810
11010
done1010
0810
11010
done1010
0810
11010
done1010
079
199
done99
0810
11010
done1010
079
199
done99
01013
12513
23413
36013
410913
522713
664513
7247313
done500013
0916
11510
23310
36010
49510
517910
647910
7127210
done500110
078
1117
2127
done127
067
187
done87
067
1117
2127
done127
0715
1915
done915
067
187
done87
0720
12220
2548
31198
43238
513338
done50008
067
187
done87
067
187
done87
0810
12310
23210
35810
410710
523410
663910
7248110
done500010
0920
11814
24614
38812
414712
523612
638012
752312
866412
991212
10111112
11141812
12161212
13165612
14191612
15215812
16220012
done220012
0713
1137
2297
3547
4877
51717
64637
712497
done50007
056
186
296
done96
056
176
done76
055
165
done65
055
165
done65
0611
1711
done711
055
165
done65
0614
188
2196
3246
4306
5406
6616
71266
83396
912626
done50006
0610
185
done85
055
165
done65
055
165
done65
055
165
done65
022
141
done41
044
154
done54
022
141
done41
044
154
done54
078
1218
2308
3478
4888
52088
66138
724418
done50008
0812
11610
23110
34410
46410
58510
610210
712510
816810
923010
1023110
done23110
068
1118
2188
3338
4588
5998
61578
73258
815708
done50008
044
164
274
done74
033
161
done61
055
165
done65
055
165
done65
03169
18463
242055
3224453
done500053
03993
111493
249893
3267691
done500091
044105
1132105
2594103
3357799
done500199
048126
1158115
2820112
done500098
048129
1144129
2692127
33945123
done5000123
048129
1144129
2692127
33899123
done5000123
01622
14222
212722
337022
4101117
5331817
done500117
02235
16135
220435
363331
4198831
done500031
02235
16135
220235
363135
4195132
done500032
01520
13820
211020
332020
494215
5324015
done500015
02133
15733
218233
349529
4145129
5498327
done500027
02133
15733
218233
349533
4142830
5460827
done500027

prune243.0ms

Filtered
98 candidates to 144 candidates (-46.9%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1440144
Fresh000
Picked011
Done022
Total1443147

Merged error: 0b

Counts
147 → 3

regimes70.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068
188
done88

end0.0ms

sample542.0ms

Algorithm
intervals
Results
245.0ms7998×body80valid
77.0ms2696×body80nan
0.0msbody1280valid

Profiling

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