Details

Time bar (total: 2.1min)

sample31.0ms

Algorithm
intervals
Results
14.0ms330×body80valid

simplify4.2s

Counts
1 → 1
Iterations

Useful iterations: 7 (322.0ms)

IterNodesCost
01213
12213
24513
39713
418613
530213
645713
767611
8119011
9323711
done500011

prune8.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 0.0b

Counts
2 → 1

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 0.25 (/ (- z x) y))
0.0b
(+ (* (- 0.25 (/ (- z x) y)) 4.0) 1.0)
0.0b
(/ (- z x) y)

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
23×*-un-lft-identity
16×times-frac
13×add-cube-cbrt
add-log-exp
difference-of-squares
add-exp-log add-cbrt-cube associate-/l* distribute-lft-out--
pow1 associate-/r*
flip3-- div-sub flip-- associate-/l/
cbrt-undiv +-commutative sub-neg frac-2neg flip3-+ diff-log div-exp clear-num sum-log flip-+ div-inv associate--r-
Counts
3 → 65
Calls
3 calls:
11.0ms
(- 0.25 (/ (- z x) y))
13.0ms
(+ (* (- 0.25 (/ (- z x) y)) 4.0) 1.0)
7.0ms
(/ (- z x) y)

series22.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(- 0.25 (/ (- z x) y))
9.0ms
(+ (* (- 0.25 (/ (- z x) y)) 4.0) 1.0)
7.0ms
(/ (- z x) y)

simplify35.0s

Counts
74 → 74
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
077
1117
2137
done137
066
1146
2196
3226
done226
066
1116
2176
3216
4246
5306
6346
7506
8546
9616
10706
11906
121116
131296
141366
151426
161456
done1456
0917
12017
2689
32037
45627
520307
done50007
0713
11213
21513
31713
done1713
066
1116
2146
3166
done166
0717
11917
2507
31767
45717
517207
done50017
066
1116
2146
3166
done166
066
1116
2146
3166
done166
044
164
2104
3124
4133
done133
022
done22
033
done33
033
done33
0915
11715
22715
33315
done3315
077
197
2107
done107
0812
11212
21512
31612
done1612
077
197
2107
done107
0711
1139
2209
3259
done259
066
186
296
done96
0810
11210
21310
done1310
077
197
2107
done107
077
197
2107
done107
077
197
2107
done107
066
1104
2134
done134
066
186
296
done96
057
197
done97
066
1116
2146
3166
done166
044
164
done64
066
1116
2146
3166
done166
023
141
done41
055
1105
2135
3155
done155
0911
11211
done1211
088
1138
2168
3188
done188
088
198
done98
088
1138
2168
3188
done188
077
1105
2125
done125
077
1127
2157
3177
done177
057
197
done97
066
1116
2146
3166
done166
044
164
done64
066
1116
2146
3166
done166
023
141
done41
055
1105
2135
3155
done155
033
153
done53
055
175
285
done85
079
1149
2229
3279
4309
done309
066
1116
2146
3166
done166
055
1123
2173
done173
066
186
296
done96
066
186
296
done96
055
175
285
done85
077
197
2107
done107
055
175
285
done85
0913
12311
25211
37811
48711
58911
done8911
055
1135
2145
done145
01313
12612
25212
310812
425512
554612
6134012
7396912
done500012
01212
12112
23512
36612
413512
521712
635212
747412
870112
988612
1094412
1194512
done94512
01212
12412
24312
39312
421712
545012
6107812
7319812
done500012
01325
12225
23625
36725
413625
521725
635225
747425
870125
988625
1094425
1194525
done94525
01212
12112
23512
36612
413512
521712
635212
747412
870112
988612
1094412
1194512
done94512
01335
13535
29713
336913
4197213
done500013
01212
12112
23512
36612
413512
521712
635212
747412
870112
988612
1094412
1194512
done94512
01212
12112
23512
36612
413512
521712
635212
747412
870112
988612
1094412
1194512
done94512
01415
13915
29115
330715
4139215
done500015
01535
14033
210233
335125
4141225
done500025
01323
13323
27723
325523
4105923
5447123
done500023
01111
12111
23611
36911
414511
523911
642211
760211
888711
9101711
10102211
done102211
099
1168
2268
3458
4778
51178
61878
73288
84068
94188
done4188
088
1158
2238
3358
4528
5568
6648
7798
81078
91208
101228
done1228
088
1188
2318
3528
4888
51398
62378
73758
84388
94488
done4488
0917
11617
22417
33617
45317
55717
66517
78017
810817
912117
1012317
done12317
088
1158
2238
3358
4528
5568
6648
7798
81078
91208
101228
done1228
0923
11723
2399
31269
45639
530899
done50019
088
1158
2238
3358
4528
5568
6648
7798
81078
91208
101228
done1228
088
1158
2238
3358
4528
5568
6648
7798
81078
91208
101228
done1228
01011
13311
27811
324911
496411
5369311
done500011
01123
12917
26417
315617
444117
5127917
6349317
done500117
066
1136
2196
3266
4305
5315
done315
0915
12315
25115
316115
452215
5151115
6483115
done500015
077
1137
2207
3307
4407
5497
6547
7637
8807
91037
101167
111187
121227
131257
done1257
099
1159
2189
3209
done209
099
1169
2209
3229
done229
01010
11310
21410
done1410
01010
11410
21810
done1810
077
1147
2227
3347
4517
5557
6637
7787
81067
91197
101217
done1217
055
175
2105
done105
066
1136
2196
3266
4305
5315
done315
067
187
2117
done117
067
187
2117
done117
067
187
2117
done117
01113
12213
24313
36811
4959
51399
62109
73019
83359
93999
104779
114789
done4789
01113
12213
24313
36811
4959
51399
62109
73019
83359
93999
104779
114789
done4789
01113
12213
24313
36811
4959
51399
62109
73019
83359
93999
104779
114789
done4789
089
1139
2229
3289
4349
5459
6609
7809
8969
91049
101219
111259
done1259
089
1139
2229
3289
4349
5459
6609
7809
8969
91049
101219
111259
done1259
089
1139
2229
3289
4349
5459
6609
7809
8969
91049
101219
111259
done1259

prune91.0ms

Filtered
55 candidates to 74 candidates (-34.5%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New72274
Fresh000
Picked101
Done000
Total73275

Merged error: 0.0b

Counts
75 → 2

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 0.25 (- (/ z y) (/ x y)))
0.0b
(+ (* (- 0.25 (- (/ z y) (/ x y))) 4.0) 1.0)
0.0b
(- (/ z y) (/ x y))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
18×*-un-lft-identity
12×add-log-exp
10×times-frac
distribute-lft-out--
add-cube-cbrt difference-of-squares
diff-log
pow1 add-exp-log sub-neg add-cbrt-cube
flip3-- flip-- div-inv associate--r+
+-commutative distribute-rgt-out-- flip3-+ sum-log frac-sub flip-+ sub-div associate--r-
Counts
3 → 53
Calls
3 calls:
17.0ms
(- 0.25 (- (/ z y) (/ x y)))
21.0ms
(+ (* (- 0.25 (- (/ z y) (/ x y))) 4.0) 1.0)
18.0ms
(- (/ z y) (/ x y))

series21.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(- 0.25 (- (/ z y) (/ x y)))
9.0ms
(+ (* (- 0.25 (- (/ z y) (/ x y))) 4.0) 1.0)
7.0ms
(- (/ z y) (/ x y))

simplify42.8s

Counts
62 → 62
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
089
1108
2128
3178
4208
5268
6308
7468
8508
9578
10668
11868
121078
131218
141268
151288
done1288
078
198
2128
done128
078
1128
2178
3208
4268
5308
6468
7508
8578
9668
10868
111078
121218
131268
141288
done1288
0817
11017
21317
done1317
078
198
2128
done128
0823
11123
2289
3879
42929
59869
632399
done50019
078
198
2128
done128
078
198
2128
done128
033
153
263
done63
067
1107
2195
3235
4245
done245
023
done23
0911
12911
28411
324011
477411
5260211
done500011
01023
12919
25719
38519
411417
513717
616017
717717
818717
918817
done18817
044
164
done64
0815
12115
24215
38215
414915
524715
634815
757913
8208313
done500013
067
177
done77
089
199
done99
089
1109
2119
done119
0910
11010
done1010
0910
11110
21410
done1410
0910
11010
done1010
0910
11110
21210
done1210
0911
11011
done1011
0911
11111
21411
done1411
079
199
2129
done129
079
199
2129
done129
067
187
2117
done117
067
187
2117
done117
033
153
263
done63
044
164
done64
01415
12614
26314
313814
430114
562314
6154914
done500114
01314
12114
24314
38614
414314
522414
631214
747914
868714
983514
1087314
1188014
1290212
done90212
01314
12414
25114
311914
425314
552714
6132014
7446614
done500014
01429
12229
24429
38729
414429
522529
631229
747929
868929
983729
1087529
1188229
1290425
done90425
01314
12114
24314
38614
414314
522414
631214
747914
868714
983514
1087314
1188014
1290212
done90212
01441
13541
210515
343715
4261315
done500015
01314
12114
24314
38614
414314
522414
631214
747914
868714
983514
1087314
1188014
1290212
done90212
01314
12114
24314
38614
414314
522414
631214
747914
868714
983514
1087314
1188014
1290212
done90212
01517
13917
29917
335417
4176617
done500017
01641
14039
212239
350229
4203829
done500029
01427
13327
29727
339127
4161227
done500027
01213
12113
24413
39113
415613
526113
638613
762013
884113
990813
1092313
1193013
1295211
done95211
01112
11511
22410
34010
46710
510810
615510
729610
841710
945010
done45010
01011
11710
22910
35110
48910
512810
624610
736710
840910
941010
done41010
0910
11510
22510
34210
44810
55610
67110
79910
811010
done11010
0910
11810
23710
36610
410710
518110
632310
739910
840710
done40710
01021
11621
22621
34321
44921
55721
67221
710021
811121
done11121
0910
11510
22510
34210
44810
55610
67110
79910
811010
done11010
01029
11729
25311
321511
4105311
done500011
0910
11510
22510
34210
44810
55610
67110
79910
811010
done11010
0910
11510
22510
34210
44810
55610
67110
79910
811010
done11010
01113
12813
26513
317913
461313
5217513
done500013
01229
12121
24821
313421
442921
5138921
6386321
done500021
078
198
2158
3218
4247
done247
01019
11719
23919
312119
445819
5150219
done500019
089
1139
2229
3319
4379
5479
6549
7669
8869
91079
101179
done1179
01011
11311
21611
done1611
01011
11411
21811
done1811
089
1149
2249
3419
4479
5559
6709
7989
81099
done1099
089
1149
2249
3419
4479
5559
6709
7989
81099
done1099
055
175
2105
done105
055
175
2105
done105
055
175
2105
done105
078
198
2158
3218
4247
done247
067
187
2117
done117
067
187
2117
done117
067
187
2117
done117
01113
12213
24511
36811
4899
51119
61559
72249
83099
93409
103999
114779
124789
done4789
01113
12213
24511
36811
4899
51119
61559
72249
83099
93409
103999
114779
124789
done4789
01113
12213
24511
36811
4899
51119
61559
72249
83099
93409
103999
114779
124789
done4789
089
1139
2229
3289
4349
5439
6589
7739
8889
91029
101179
111239
done1239
089
1139
2229
3289
4349
5439
6589
7739
8889
91029
101179
111239
done1239
089
1139
2229
3289
4349
5439
6589
7739
8889
91029
101179
111239
done1239

prune72.0ms

Filtered
44 candidates to 62 candidates (-40.9%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New62062
Fresh011
Picked011
Done000
Total62264

Merged error: 0.0b

Counts
64 → 2

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ 2.0 (* (/ 4.0 y) (- x z)))
0.3b
(* (/ 4.0 y) (- x z))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*l*
12×*-un-lft-identity
10×add-cube-cbrt times-frac
add-exp-log add-cbrt-cube
associate-*r*
pow1 distribute-rgt-in sub-neg associate-+r+ distribute-lft-in add-log-exp
frac-times flip3-- associate-*r/ prod-exp flip-- cbrt-unprod unswap-sqr
cbrt-undiv +-commutative flip3-+ div-exp pow-prod-down associate-*l/ sum-log *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 57
Calls
2 calls:
4.0ms
(+ 2.0 (* (/ 4.0 y) (- x z)))
11.0ms
(* (/ 4.0 y) (- x z))

series19.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(+ 2.0 (* (/ 4.0 y) (- x z)))
11.0ms
(* (/ 4.0 y) (- x z))

simplify40.8s

Counts
63 → 63
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
077
1127
2287
3427
4617
5777
6877
7897
done897
01010
11710
22810
33710
44610
55110
66010
77710
89610
910410
done10410
099
1159
2229
3319
4419
5509
6559
7649
8819
91009
101089
done1089
088
1168
2388
3628
4978
51258
61478
71618
81848
91948
102108
112128
done2128
088
1158
2378
3718
41298
52568
65438
716048
done50008
01323
13023
212613
366411
4355011
done500011
01123
12623
29411
341611
420899
done50009
0917
11417
23017
34417
46317
57917
68917
79117
done9117
088
1138
2298
3438
4628
5788
6888
7908
done908
0923
12423
21099
35339
423689
done50009
088
1138
2298
3438
4628
5788
6888
7908
done908
088
1138
2298
3438
4628
5788
6888
7908
done908
089
1249
2529
31319
43099
59889
644669
done50009
0913
12311
25211
37811
48711
58911
done8911
079
1139
2309
3769
41599
52459
64009
77719
833759
done50009
055
1135
2145
done145
099
1129
2139
done139
099
1129
2139
done139
01010
11510
21910
32110
42310
52410
done2410
01010
11510
21910
32110
42310
52410
done2410
055
185
2115
3135
4155
5165
done165
066
1116
2206
3296
4346
5406
6426
7436
done436
055
185
2115
3135
4155
5165
done165
066
1116
2206
3296
4346
5406
6426
7436
done436
055
185
2115
3155
4165
done165
066
1116
2206
3306
4396
5426
6436
done436
055
185
2115
3155
4165
done165
066
1116
2206
3306
4396
5426
6436
done436
0913
11613
22513
33313
44213
54813
65313
75413
done5413
088
1138
2178
3198
4218
5228
done228
055
1103
2203
done203
099
1199
2359
3439
4499
5569
6589
done589
055
1103
2203
done203
088
1118
2188
3238
4278
done278
088
1118
2188
3238
4278
done278
099
1149
2309
3449
4639
5799
6899
7919
done919
099
1149
2309
3449
4639
5799
6899
7919
done919
088
1138
2298
3438
4628
5788
6888
7908
done908
099
1149
2309
3449
4639
5799
6899
7919
done919
099
1149
2309
3449
4639
5799
6899
7919
done919
088
1138
2298
3438
4628
5788
6888
7908
done908
088
1138
2298
3438
4628
5788
6888
7908
done908
088
1138
2298
3438
4628
5788
6888
7908
done908
077
1127
2287
3427
4617
5777
6877
7897
done897
077
1127
2287
3427
4617
5777
6877
7897
done897
077
1147
2305
3695
41055
51305
61345
71365
done1365
01011
12811
26511
319511
454611
5191111
done500011
0911
11711
24511
313511
432511
554611
695511
7178611
done500011
055
185
2155
3205
4245
done245
01111
12110
24410
38610
416910
534510
680010
7266610
done500110
01010
11610
23210
35010
47410
59310
610910
712410
816310
922910
1031210
1134210
1240110
1347910
1448010
done48010
01010
11910
24010
37410
413810
526310
658510
7189010
done500010
01121
11721
23321
35121
47521
59421
611021
712521
816421
923021
1031321
1134321
1240221
1348021
1448121
done48121
01010
11610
23210
35010
47410
59310
610910
712410
816310
922910
1031210
1134210
1240110
1347910
1448010
done48010
01129
13029
210211
343611
4222511
done500011
01010
11610
23210
35010
47410
59310
610910
712410
816310
922910
1031210
1134210
1240110
1347910
1448010
done48010
01010
11610
23210
35010
47410
59310
610910
712410
816310
922910
1031210
1134210
1240110
1347910
1448010
done48010
01213
13413
210113
339813
4187813
done500013
01329
13521
213521
349221
4155221
5428821
done500121
01119
12819
210219
340519
4157219
5495519
done500019
099
1169
2419
3849
41589
52019
62499
72819
83559
94409
104419
done4419
077
1117
2147
3167
4187
5197
done197
077
1117
2147
3167
4187
5197
done197
077
1117
2147
3187
4197
done197
077
1117
2147
3187
4197
done197
0911
1199
2369
3529
4667
5757
6807
7837
8857
9867
done867
0911
1199
2369
3529
4667
5757
6807
7837
8857
9867
done867
0911
1199
2369
3529
4667
5757
6807
7837
8857
9867
done867
01113
12213
24313
36811
4959
51399
62109
73019
83359
93999
104779
114789
done4789
01113
12213
24313
36811
4959
51399
62109
73019
83359
93999
104779
114789
done4789
01113
12213
24313
36811
4959
51399
62109
73019
83359
93999
104779
114789
done4789

prune77.0ms

Filtered
47 candidates to 63 candidates (-34.0%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New63063
Fresh000
Picked011
Done011
Total63265

Merged error: 0.0b

Counts
65 → 2

regimes126.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01213
11413
done1413

end0.0ms

sample863.0ms

Algorithm
intervals
Results
430.0ms10179×body80valid

Profiling

Loading profile data...