Details

Time bar (total: 40.9s)

sample155.0ms

Algorithm
intervals
Results
38.0ms55×body1280valid
33.0ms47×body640valid
32.0ms45×body10240exit
10.0ms113×body80valid
7.0ms28×body320valid
5.0ms93×body80nan
2.0ms15×body160valid
2.0msbody640nan
1.0msbody320nan
0.0msbody1280nan
0.0msbody160nan

simplify8.5s

Counts
1 → 1
Iterations
IterNodes
done5000
1444986
1434970
1424956
1414939
1404923
1394907
1384889
1374874
1364858
1354836
1344822
1334807
1324789
1314773
1304759
1294742
1284726
1274710
1264690
1254675
1244659
1234641
1224627
1214612
1204594
1194578
1184564
1174547
1164531
1154515
1144495
1134480
1124464
1114444
1104430
1094415
1084397
1074381
1064367
1054350
1044334
1034318
1024298
1014283
1004267
994245
984231
974216
964198
954182
944168
934151
924135
914119
904103
894088
884072
874050
864036
854021
844003
833987
823973
813956
803940
793924
783906
773891
763875
753853
743839
733824
723806
713790
703776
693759
683743
673727
663707
653692
643676
633654
623640
613625
603607
593591
583577
573560
563544
553528
543508
533493
523477
513455
503441
493426
483408
473392
463378
453361
443345
433329
423309
413294
403278
393260
383246
373231
363213
353197
343183
333166
323150
313134
303114
293099
283083
273061
263047
253032
243014
232998
222984
212967
202951
192935
182915
172900
162884
152866
142822
132455
122112
111738
101224
9862
8678
7469
6261
5107
466
348
233
120
012

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.7b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ (log (+ (- 1.0 y) (* y (exp z)))) t))
0.0b
(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
0.7b
(log (+ (- 1.0 y) (* y (exp z))))
1.9b
(+ (- 1.0 y) (* y (exp z)))

rewrite140.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
16×*-un-lft-identity
14×add-cube-cbrt
13×times-frac
11×add-log-exp
pow1
add-exp-log
log-div add-cbrt-cube
log-pow
flip3-+ div-sub flip-+ associate-/l*
log-prod associate-/r*
associate-+l+ sum-log sub-neg diff-log associate--r- difference-of-squares
cbrt-undiv +-commutative clear-num frac-2neg flip3-- div-exp rem-log-exp associate-+l- div-inv flip-- distribute-lft-out--
Counts
4 → 79
Calls
4 calls:
20.0ms
(- x (/ (log (+ (- 1.0 y) (* y (exp z)))) t))
49.0ms
(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
21.0ms
(log (+ (- 1.0 y) (* y (exp z))))
47.0ms
(+ (- 1.0 y) (* y (exp z)))

series635.0ms

Counts
4 → 12
Calls
4 calls:
138.0ms
(- x (/ (log (+ (- 1.0 y) (* y (exp z)))) t))
290.0ms
(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
139.0ms
(log (+ (- 1.0 y) (* y (exp z))))
67.0ms
(+ (- 1.0 y) (* y (exp z)))

simplify1.5s

Counts
91 → 91
Iterations
IterNodes
done5001
21437
1477
0202

prune697.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 3.1b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b
(* y (exp z))
0.0b
(/ (log (- 1.0 (- y (* y (exp z))))) t)
0.7b
(log (- 1.0 (- y (* y (exp z)))))
4.0b
(- y (* y (exp z)))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
18×*-un-lft-identity
16×add-cube-cbrt
12×times-frac
11×pow1
add-cbrt-cube add-exp-log
add-log-exp
log-prod log-pow
log-div associate-/l*
associate-/r* flip3-- associate-*r* associate-*l* flip--
div-sub
cbrt-undiv clear-num sub-neg frac-2neg diff-log div-exp rem-log-exp pow-prod-down prod-exp *-commutative cbrt-unprod div-inv distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 79
Calls
4 calls:
9.0ms
(* y (exp z))
30.0ms
(/ (log (- 1.0 (- y (* y (exp z))))) t)
12.0ms
(log (- 1.0 (- y (* y (exp z)))))
4.0ms
(- y (* y (exp z)))

series545.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(* y (exp z))
304.0ms
(/ (log (- 1.0 (- y (* y (exp z))))) t)
130.0ms
(log (- 1.0 (- y (* y (exp z)))))
65.0ms
(- y (* y (exp z)))

simplify1.6s

Counts
91 → 91
Iterations
IterNodes
done5000
21424
1492
0212

prune937.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 3.1b

localize103.0ms

Local error

Found 4 expressions with local error:

0.7b
(log (cbrt (- 1.0 (- y (* y (exp z))))))
4.0b
(- y (* y (exp z)))
4.0b
(- y (* y (exp z)))
4.0b
(- y (* y (exp z)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
add-sqr-sqrt log-prod *-un-lft-identity
add-cube-cbrt
cbrt-prod pow1 add-exp-log
flip3-- add-cbrt-cube flip--
sub-neg diff-log
log-div cbrt-div log-pow
pow1/3 rem-log-exp distribute-lft-out-- difference-of-squares
Counts
4 → 56
Calls
4 calls:
10.0ms
(log (cbrt (- 1.0 (- y (* y (exp z))))))
4.0ms
(- y (* y (exp z)))
4.0ms
(- y (* y (exp z)))
5.0ms
(- y (* y (exp z)))

series511.0ms

Counts
4 → 12
Calls
4 calls:
270.0ms
(log (cbrt (- 1.0 (- y (* y (exp z))))))
64.0ms
(- y (* y (exp z)))
90.0ms
(- y (* y (exp z)))
86.0ms
(- y (* y (exp z)))

simplify3.1s

Counts
68 → 68
Iterations
IterNodes
done5001
33355
2846
1308
0136

prune681.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 3.1b

localize69.0ms

Local error

Found 4 expressions with local error:

0.7b
(log (- 1.0 (- y (* y (exp z)))))
0.7b
(log (- 1.0 (- y (* y (exp z)))))
4.0b
(- y (* y (exp z)))
4.0b
(- y (* y (exp z)))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt log-prod *-un-lft-identity
add-log-exp
pow1 add-exp-log add-cube-cbrt
log-div flip3-- add-cbrt-cube flip--
sub-neg diff-log rem-log-exp log-pow distribute-lft-out-- difference-of-squares
Counts
4 → 56
Calls
4 calls:
19.0ms
(log (- 1.0 (- y (* y (exp z)))))
25.0ms
(log (- 1.0 (- y (* y (exp z)))))
9.0ms
(- y (* y (exp z)))
9.0ms
(- y (* y (exp z)))

series404.0ms

Counts
4 → 12
Calls
4 calls:
108.0ms
(log (- 1.0 (- y (* y (exp z)))))
144.0ms
(log (- 1.0 (- y (* y (exp z)))))
89.0ms
(- y (* y (exp z)))
62.0ms
(- y (* y (exp z)))

simplify3.2s

Counts
68 → 68
Iterations
IterNodes
done5000
33488
2829
1274
0113

prune621.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 3.1b

regimes2.0s

Accuracy

55% (4.8b remaining)

Error of 8.5b against oracle of 3.7b and baseline of 14.5b

bsearch423.0ms

Steps
ItersRangePoint
5
8.513500786890878e-160
2.043922704750105e-159
1.6509902756744657e-159
9
-3.509948340908123e-140
-3.394549339077915e-147
-6.320708783077287e-143
9
-180.33670105084897
-0.0001839247968598657
-0.0001910423669767732

simplify8.1s

Iterations
IterNodes
done5001
14444999
14434996
14424992
14414989
14404985
14394982
14384978
14374975
14364971
14354968
14344965
14334962
14324958
14314955
14304952
14294949
14284945
14274942
14264938
14254935
14244932
14234929
14224925
14214922
14204918
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14184911
14174908
14164904
14154901
14144897
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14114887
14104883
14094880
14084876
14074873
14064869
14054866
14044862
14034859
14024855
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14004848
13994845
13984841
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13964834
13954831
13944827
13934824
13924820
13914817
13904813
13894810
13884806
13874803
13864799
13854796
13844793
13834790
13824786
13814783
13804779
13794776
13784772
13774769
13764765
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13744759
13734756
13724752
13714749
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10123
9120
8116
7113
6109
5106
4102
388
271
158
043

end0.0ms

sample6.7s

Algorithm
intervals
Results
1.8s1483×body1280valid
1.6s1481×body10240exit
924.0ms1549×body640valid
578.0ms2445×body80nan
461.0ms3526×body80valid
302.0ms908×body320valid
152.0ms79×body2560valid
125.0ms484×body160valid
85.0ms260×body640nan
46.0ms90×body1280nan
46.0ms200×body320nan
20.0ms111×body160nan