Details

Time bar (total: 2.3s)

sample22.0ms

Algorithm
intervals
Results
6.0ms55×body1280valid
4.0ms42×body640valid
3.0ms129×body80valid
1.0ms16×body320valid
1.0ms14×body160valid

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: 30.5b

Counts
2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.3b
(cbrt (+ x 1.0))
0.6b
(cbrt x)
3.6b
(- (cbrt (+ x 1.0)) (cbrt x))

rewrite13.0ms

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)
8.0ms
(- (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))

simplify118.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 3 (113.0ms)

IterNodesCost
0290405
1908390
24235335
35002332

prune93.0ms

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

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New50353
Fresh000
Picked101
Done000
Total51354

Merged error: 0.5b

Counts
54 → 3

localize12.0ms

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)

series88.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* (cbrt x) (cbrt x))
21.0ms
(cbrt x)
23.0ms
(cbrt x)
21.0ms
(cbrt x)

simplify71.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (66.0ms)

IterNodesCost
0148349
1471322
22276265
35002252

prune155.0ms

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

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New76985
Fresh022
Picked011
Done000
Total761288

Merged error: 0.3b

Counts
88 → 12

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite9.0ms

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)
2.0ms
(cbrt (cbrt x))
4.0ms
(cbrt (* (cbrt x) (cbrt x)))

series107.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt x)
23.0ms
(cbrt x)
29.0ms
(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

prune148.0ms

Filtered
45 candidates to 57 candidates (-26.7%)
Pruning

16 alts after pruning (14 fresh and 2 done)

PrunedKeptTotal
New50757
Fresh3710
Picked011
Done011
Total531669

Merged error: 0.2b

Counts
69 → 16

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
81×cbrt-prod
40×add-sqr-sqrt
22×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3 swap-sqr associate-*r* associate-*l* unswap-sqr
6×add-exp-log
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 96
Calls
4 calls:
7.0ms
(* (cbrt (cbrt x)) (cbrt (cbrt x)))
2.0ms
(cbrt (cbrt x))
2.0ms
(cbrt (cbrt x))
2.0ms
(cbrt (cbrt x))

series124.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(* (cbrt (cbrt x)) (cbrt (cbrt x)))
29.0ms
(cbrt (cbrt x))
31.0ms
(cbrt (cbrt x))
29.0ms
(cbrt (cbrt x))

simplify81.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 3 (74.0ms)

IterNodesCost
0178687
1548646
22604562
35001549

prune145.0ms

Filtered
70 candidates to 108 candidates (-54.3%)
Pruning

19 alts after pruning (16 fresh and 3 done)

PrunedKeptTotal
New1035108
Fresh21113
Picked011
Done022
Total10519124

Merged error: 0.1b

Counts
124 → 19

regimes189.0ms

Accuracy

0% (0.3b remaining)

Error of 0.5b against oracle of 0.2b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02319
12719
22719

end0.0ms

sample592.0ms

Algorithm
intervals
Results
202.0ms1715×body1280valid
105.0ms1180×body640valid
98.0ms4153×body80valid
41.0ms639×body320valid
13.0ms313×body160valid

Profiling

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