Details

Time bar (total: 2.3s)

analyze1.0ms

Algorithm
search

sample20.0ms

Algorithm
intervals
Results
6.0ms50×body1280valid
4.0ms45×body640valid
3.0ms129×body80valid
1.0ms23×body320valid
0.0msbody160valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
094
1104
2104

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 30.4b

Counts
2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.3b
(cbrt (+ x 1.0))
0.5b
(cbrt x)
3.4b
(- (cbrt (+ x 1.0)) (cbrt x))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
15×cbrt-prod
14×*-un-lft-identity
13×add-sqr-sqrt
add-cube-cbrt add-log-exp
difference-of-squares
pow1 add-exp-log add-cbrt-cube distribute-lft-out--
cbrt-div pow1/3 distribute-lft-out
sub-neg flip3-- flip3-+ diff-log flip-- flip-+
Counts
3 → 44
Calls
3 calls:
3.0ms
(cbrt (+ x 1.0))
1.0ms
(cbrt x)
7.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

series41.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(cbrt (+ x 1.0))
21.0ms
(cbrt x)
14.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify117.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 3 (112.0ms)

IterNodesCost
0290405
1908390
24235335
35002332

prune94.0ms

Filtered
42 candidates to 53 candidates (-26.2%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New49453
Fresh000
Picked101
Done000
Total50454

Merged error: 0.5b

Counts
54 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.5b
(cbrt x)
0.5b
(cbrt x)
0.5b
(cbrt x)

rewrite10.0ms

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:
5.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series90.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* (cbrt x) (cbrt x))
21.0ms
(cbrt x)
21.0ms
(cbrt x)
23.0ms
(cbrt x)

simplify72.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (67.0ms)

IterNodesCost
0148349
1471322
22276265
35002252

prune161.0ms

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

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New731285
Fresh033
Picked011
Done000
Total731689

Merged error: 0.2b

Counts
89 → 16

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.5b
(cbrt x)
0.6b
(cbrt (cbrt x))
0.6b
(cbrt (* (cbrt x) (cbrt x)))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
16×cbrt-prod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 45
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt (cbrt x))
4.0ms
(cbrt (* (cbrt x) (cbrt x)))

series108.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt x)
21.0ms
(cbrt x)
31.0ms
(cbrt (cbrt x))
34.0ms
(cbrt (* (cbrt x) (cbrt x)))

simplify204.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 3 (29.0ms)

IterNodesCost
0147266
1289242
2847200
34355187
45001187

prune158.0ms

Filtered
44 candidates to 57 candidates (-29.5%)
Pruning

20 alts after pruning (20 fresh and 0 done)

PrunedKeptTotal
New49857
Fresh21214
Picked101
Done101
Total532073

Merged error: 0.2b

Counts
73 → 20

localize28.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (* (cbrt x) (cbrt x)))
0.6b
(cbrt (cbrt (* (cbrt x) (cbrt x))))
0.6b
(cbrt (cbrt (* (cbrt x) (cbrt x))))
0.6b
(cbrt (cbrt (* (cbrt x) (cbrt x))))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
16×cbrt-prod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 45
Calls
4 calls:
4.0ms
(cbrt (* (cbrt x) (cbrt x)))
2.0ms
(cbrt (cbrt (* (cbrt x) (cbrt x))))
2.0ms
(cbrt (cbrt (* (cbrt x) (cbrt x))))
2.0ms
(cbrt (cbrt (* (cbrt x) (cbrt x))))

series140.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(cbrt (* (cbrt x) (cbrt x)))
34.0ms
(cbrt (cbrt (* (cbrt x) (cbrt x))))
36.0ms
(cbrt (cbrt (* (cbrt x) (cbrt x))))
34.0ms
(cbrt (cbrt (* (cbrt x) (cbrt x))))

simplify174.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 4 (169.0ms)

IterNodesCost
0113456
1233414
2799362
33622346
45002343

prune95.0ms

Filtered
46 candidates to 57 candidates (-23.9%)
Pruning

21 alts after pruning (21 fresh and 0 done)

PrunedKeptTotal
New53457
Fresh21719
Picked101
Done000
Total562177

Merged error: 0.2b

Counts
77 → 21

regimes200.0ms

Accuracy

0% (0.4b remaining)

Error of 0.6b against oracle of 0.2b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02940
13340
23340

end0.0ms

analyze1.0ms

Algorithm
search

sample553.0ms

Algorithm
intervals
Results
199.0ms1753×body1280valid
112.0ms1268×body640valid
93.0ms4013×body80valid
43.0ms641×body320valid
16.0ms325×body160valid

Profiling

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