Details

Time bar (total: 7.9s)

sample52.0ms

Algorithm
intervals
Results
15.0ms36×body1280valid
11.0ms172×body80valid
8.0ms29×body640valid
2.0ms10×body320valid
1.0msbody160valid

simplify3.1s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
089
1149
2279
3339
4399
5489
6619
7879
81049
91339
101719
111999
122269
132499
142719
152979
163209
173429
183689
193919
204139
214399
224629
234849
245109
255339
265559
275819
286049
296269
306529
316759
326979
337239
347469
357689
367949
378179
388399
398659
408889
419109
429369
439599
449819
4510079
4610309
4710529
4810789
4911019
5011239
5111499
5211729
5311949
5412209
5512439
5612659
5712919
5813149
5913369
6013629
6113859
6214079
6314339
6414569
6514789
6615049
6715279
6815499
6915759
7015989
7116209
7216469
7316699
7416919
7517179
7617409
7717629
7817889
7918119
8018339
8118599
8218829
8319049
8419309
8519539
8619759
8720019
8820249
8920469
9020729
9120959
9221179
9321439
9421669
9521889
9622149
9722379
9822599
9922859
10023089
10123309
10223569
10323799
10424019
10524279
10624509
10724729
10824989
10925219
11025439
11125699
11225929
11326149
11426409
11526639
11626859
11727119
11827349
11927569
12027829
12128059
12228279
12328539
12428769
12528989
12629249
12729479
12829699
12929959
13030189
13130409
13230669
13330899
13431119
13531379
13631609
13731829
13832089
13932319
14032539
14132799
14233029
14333249
14433509
14533739
14633959
14734219
14834449
14934669
15034929
15135159
15235379
15335639
15435869
15536089
15636349
15736579
15836799
15937059
16037289
16137509
16237769
16337999
16438219
16538479
16638709
16738929
16839189
16939419
17039639
17139899
17240129
17340349
17440609
17540839
17641059
17741319
17841549
17941769
18042029
18142259
18242479
18342739
18442969
18543189
18643449
18743679
18843899
18944159
19044389
19144609
19244869
19345099
19445319
19545579
19645809
19746029
19846289
19946519
20046739
20146999
20247229
20347449
20447709
20547939
20648159
20748419
20848649
20948869
21049129
21149359
21249579
21349839
done50009

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (+ x (cos y)) (* z (sin y)))
0.1b
(* z (sin y))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
add-log-exp
add-sqr-sqrt
pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
associate-*r* associate-*l*
diff-log
sub-neg flip3-- pow-prod-down prod-exp associate--l+ sum-log *-commutative flip-- cbrt-unprod unswap-sqr
Counts
2 → 32
Calls
2 calls:
7.0ms
(- (+ x (cos y)) (* z (sin y)))
5.0ms
(* z (sin y))

series21.0ms

Counts
2 → 6
Calls
2 calls:
13.0ms
(- (+ x (cos y)) (* z (sin y)))
8.0ms
(* z (sin y))

simplify576.0ms

Counts
38 → 38
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
069365
1160346
2479320
31497320
done5000320

prune57.0ms

Filtered
26 candidates to 38 candidates (-46.2%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New33538
Fresh000
Picked011
Done000
Total33639

Merged error: 0.0b

Counts
39 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
6.3b
(cbrt (* z (sin y)))
6.3b
(cbrt (* z (sin y)))
6.3b
(cbrt (* z (sin y)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
pow1/3
add-cube-cbrt *-un-lft-identity
cbrt-prod
add-exp-log
swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 58
Calls
4 calls:
6.0ms
(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
3.0ms
(cbrt (* z (sin y)))
3.0ms
(cbrt (* z (sin y)))
3.0ms
(cbrt (* z (sin y)))

series118.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
26.0ms
(cbrt (* z (sin y)))
31.0ms
(cbrt (* z (sin y)))
26.0ms
(cbrt (* z (sin y)))

simplify514.0ms

Counts
70 → 70
Iterations

Useful iterations: done (513.0ms)

IterNodesCost
090814
1200733
2560633
31657560
done5000535

prune102.0ms

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

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New68270
Fresh044
Picked011
Done011
Total68876

Merged error: 0.0b

Counts
76 → 8

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (cbrt z) (cbrt z))
0.6b
(cbrt (sin y))
0.6b
(cbrt (sin y))
6.3b
(cbrt (* z (sin y)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
23×cbrt-prod
22×add-sqr-sqrt
14×add-cube-cbrt *-un-lft-identity
11×pow1
pow1/3
add-exp-log swap-sqr associate-*r* associate-*l*
add-cbrt-cube add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 71
Calls
4 calls:
6.0ms
(* (cbrt z) (cbrt z))
2.0ms
(cbrt (sin y))
2.0ms
(cbrt (sin y))
3.0ms
(cbrt (* z (sin y)))

series97.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(* (cbrt z) (cbrt z))
20.0ms
(cbrt (sin y))
20.0ms
(cbrt (sin y))
29.0ms
(cbrt (* z (sin y)))

simplify491.0ms

Counts
83 → 83
Iterations

Useful iterations: done (489.0ms)

IterNodesCost
0117691
1235626
2656548
31874491
done5000484

prune109.0ms

Filtered
55 candidates to 83 candidates (-50.9%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New81283
Fresh145
Picked011
Done022
Total82991

Merged error: 0.0b

Counts
91 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (sin y)) (cbrt (sin y)))
0.6b
(cbrt (sin y))
0.6b
(cbrt (sin y))
0.6b
(cbrt (sin y))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
pow1/3
add-exp-log swap-sqr associate-*r* associate-*l*
add-cbrt-cube add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
7.0ms
(* (cbrt (sin y)) (cbrt (sin y)))
2.0ms
(cbrt (sin y))
2.0ms
(cbrt (sin y))
2.0ms
(cbrt (sin y))

series88.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* (cbrt (sin y)) (cbrt (sin y)))
20.0ms
(cbrt (sin y))
23.0ms
(cbrt (sin y))
20.0ms
(cbrt (sin y))

simplify595.0ms

Counts
85 → 85
Iterations

Useful iterations: 3 (165.0ms)

IterNodesCost
076792
1164713
2488581
31934515
done5000515

prune85.0ms

Filtered
56 candidates to 85 candidates (-51.8%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New82385
Fresh325
Picked101
Done123
Total87794

Merged error: 0b

Counts
94 → 7

regimes272.0ms

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
089
1109
done109

end0.0ms

sample1.5s

Algorithm
intervals
Results
430.0ms997×body1280valid
363.0ms5571×body80valid
242.0ms839×body640valid
73.0ms380×body320valid
30.0ms213×body160valid

Profiling

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