Details

Time bar (total: 2.3s)

sample24.0ms

Algorithm
intervals
Results
9.0ms48×body1280valid
4.0ms45×body640valid
3.0ms136×body80valid
1.0ms18×body320valid
0.0ms9×body160valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
094
1104
2104

prune2.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 28.7b

Counts
2 → 1

localize5.0ms

Local error

Found 3 expressions with local error:

0.2b
(cbrt (+ x 1.0))
0.6b
(cbrt x)
3.0b
(- (cbrt (+ x 1.0)) (cbrt x))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
15×cbrt-prod
14×*-un-lft-identity
13×add-sqr-sqrt
5×add-cube-cbrt add-log-exp
4×difference-of-squares
3×pow1 add-exp-log add-cbrt-cube distribute-lft-out--
2×cbrt-div pow1/3 distribute-lft-out
1×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))

series42.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(cbrt (+ x 1.0))
22.0ms
(cbrt x)
14.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify116.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 3 (110.0ms)

IterNodesCost
0290405
1908390
24235335
35002332

prune92.0ms

Filtered
53 candidates to 42 candidates (20.8%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New49453
Fresh000
Picked101
Done000
Total50454

Merged error: 0.5b

Counts
54 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(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
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×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)

series93.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* (cbrt x) (cbrt x))
22.0ms
(cbrt x)
22.0ms
(cbrt x)
24.0ms
(cbrt x)

simplify74.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (67.0ms)

IterNodesCost
0148349
1471322
22276265
35002252

prune156.0ms

Filtered
85 candidates to 56 candidates (34.1%)
Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New751085
Fresh033
Picked011
Done000
Total751489

Merged error: 0.2b

Counts
89 → 14

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt (cbrt x))
0.7b
(cbrt (* (cbrt x) (cbrt x)))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
16×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×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)))

series110.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt x)
22.0ms
(cbrt x)
31.0ms
(cbrt (cbrt x))
35.0ms
(cbrt (* (cbrt x) (cbrt x)))

simplify201.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 3 (29.0ms)

IterNodesCost
0147266
1289242
2847200
34355187
45001187

prune155.0ms

Filtered
57 candidates to 45 candidates (21.1%)
Pruning

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New50757
Fresh21012
Picked101
Done101
Total541771

Merged error: 0.2b

Counts
71 → 17

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt (cbrt x))
0.7b
(cbrt (* (cbrt x) (cbrt x)))
0.7b
(cbrt (* (cbrt x) (cbrt x)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
14×cbrt-prod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 43
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt (cbrt x))
5.0ms
(cbrt (* (cbrt x) (cbrt x)))
4.0ms
(cbrt (* (cbrt x) (cbrt x)))

series123.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt x)
31.0ms
(cbrt (cbrt x))
35.0ms
(cbrt (* (cbrt x) (cbrt x)))
35.0ms
(cbrt (* (cbrt x) (cbrt x)))

simplify202.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 3 (29.0ms)

IterNodesCost
0147293
1289263
2847219
34355205
45001205

prune90.0ms

Filtered
55 candidates to 44 candidates (20.0%)
Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New54155
Fresh21416
Picked011
Done000
Total561672

Merged error: 0.2b

Counts
72 → 16

regimes160.0ms

Accuracy

0% (0.3b 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
02526
12926
22926

end0.0ms

sample587.0ms

Algorithm
intervals
Results
191.0ms1706×body1280valid
112.0ms1261×body640valid
94.0ms4065×body80valid
41.0ms650×body320valid
13.0ms318×body160valid

Profiling

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