Details

Time bar (total: 2.3s)

sample25.0ms

Algorithm
intervals
Results
9.0ms52×body1280valid
4.0ms41×body640valid
3.0ms133×body80valid
1.0ms21×body320valid
0.0ms9×body160valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
094
1104
2104

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 29.0b

Counts
2 → 1

localize5.0ms

Local error

Found 3 expressions with local error:

0.2b
(cbrt (+ x 1.0))
0.5b
(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))

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

prune100.0ms

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

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New47653
Fresh000
Picked101
Done000
Total48654

Merged error: 0.5b

Counts
54 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite13.0ms

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

series91.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(cbrt x)
22.0ms
(cbrt x)
21.0ms
(cbrt x)
25.0ms
(* (cbrt x) (cbrt x))

simplify74.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (68.0ms)

IterNodesCost
0148349
1479322
22283265
35001252

prune166.0ms

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

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New721385
Fresh235
Picked101
Done000
Total751691

Merged error: 0.2b

Counts
91 → 16

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
30×cbrt-prod
15×pow1
13×add-exp-log add-cube-cbrt pow1/3
12×add-sqr-sqrt *-un-lft-identity
9×pow-prod-down
6×associate-*l* prod-exp add-cbrt-cube cbrt-unprod
5×pow-prod-up
4×add-log-exp
1×swap-sqr associate-*r* pow-sqr *-commutative
Counts
4 → 70
Calls
4 calls:
14.0ms
(* (cbrt x) (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))))
2.0ms
(cbrt (cbrt x))
2.0ms
(cbrt (cbrt x))
2.0ms
(cbrt (cbrt x))

series116.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(* (cbrt x) (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))))
29.0ms
(cbrt (cbrt x))
29.0ms
(cbrt (cbrt x))
31.0ms
(cbrt (cbrt x))

simplify92.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 3 (86.0ms)

IterNodesCost
0214600
1612533
22703407
35001299

prune160.0ms

Filtered
53 candidates to 82 candidates (-54.7%)
Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New78482
Fresh21315
Picked011
Done000
Total801898

Merged error: 0.2b

Counts
98 → 18

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 56
Calls
4 calls:
2.0ms
(cbrt (cbrt x))
2.0ms
(cbrt (cbrt x))
2.0ms
(cbrt (cbrt x))
2.0ms
(cbrt (cbrt x))

series119.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(cbrt (cbrt x))
29.0ms
(cbrt (cbrt x))
32.0ms
(cbrt (cbrt x))
29.0ms
(cbrt (cbrt x))

simplify183.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 5 (178.0ms)

IterNodesCost
074344
1124320
2265280
3806280
44397264
55001248

prune96.0ms

Filtered
48 candidates to 68 candidates (-41.7%)
Pruning

19 alts after pruning (18 fresh and 1 done)

PrunedKeptTotal
New65368
Fresh11516
Picked101
Done011
Total671986

Merged error: 0.2b

Counts
86 → 19

regimes222.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02220
12620
22620

end0.0ms

sample597.0ms

Algorithm
intervals
Results
200.0ms1745×body1280valid
115.0ms1266×body640valid
95.0ms4082×body80valid
43.0ms584×body320valid
16.0ms323×body160valid

Profiling

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