Details

Time bar (total: 2.2s)

sample21.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 100%

Results
5.0ms46×body1280valid
4.0ms40×body640valid
3.0ms142×body80valid
1.0ms17×body320valid
0.0ms11×body160valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
094
1104
2104

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 27.4b

Counts
2 → 1

localize5.0ms

Local error

Found 3 expressions with local error:

0.2b
(cbrt (+ x 1.0))
0.5b
(cbrt x)
3.3b
(- (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))

series46.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(cbrt (+ x 1.0))
25.0ms
(cbrt x)
15.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify119.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 3 (113.0ms)

IterNodesCost
0290405
1908390
24235335
35002332

prune87.0ms

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: 0.4b

Counts
54 → 3

localize11.0ms

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)

rewrite12.0ms

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)
3.0ms
(cbrt x)
1.0ms
(cbrt x)

series91.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(* (cbrt x) (cbrt x))
21.0ms
(cbrt x)
22.0ms
(cbrt x)
22.0ms
(cbrt x)

simplify72.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (67.0ms)

IterNodesCost
0148349
1471322
22276265
35002252

prune156.0ms

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

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New731285
Fresh112
Picked011
Done000
Total741488

Merged error: 0.2b

Counts
88 → 14

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
6×cbrt-prod
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 38
Calls
4 calls:
1.0ms
(cbrt x)
4.0ms
(cbrt (* (cbrt x) (cbrt x)))
4.0ms
(cbrt (* (cbrt x) (cbrt x)))
4.0ms
(cbrt (* (cbrt x) (cbrt x)))

series129.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(cbrt x)
35.0ms
(cbrt (* (cbrt x) (cbrt x)))
35.0ms
(cbrt (* (cbrt x) (cbrt x)))
35.0ms
(cbrt (* (cbrt x) (cbrt x)))

simplify185.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 3 (25.0ms)

IterNodesCost
0114285
1227251
2718205
33809190
45001190

prune133.0ms

Filtered
41 candidates to 50 candidates (-22.0%)
Pruning

16 alts after pruning (14 fresh and 2 done)

PrunedKeptTotal
New44650
Fresh4812
Picked011
Done011
Total481664

Merged error: 0.2b

Counts
64 → 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))

rewrite17.0ms

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:
8.0ms
(* (cbrt (cbrt x)) (cbrt (cbrt x)))
2.0ms
(cbrt (cbrt x))
2.0ms
(cbrt (cbrt x))
2.0ms
(cbrt (cbrt x))

series123.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(* (cbrt (cbrt x)) (cbrt (cbrt x)))
31.0ms
(cbrt (cbrt x))
29.0ms
(cbrt (cbrt x))
29.0ms
(cbrt (cbrt x))

simplify81.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 3 (73.0ms)

IterNodesCost
0178687
1548646
22604562
35001549

prune139.0ms

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

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New1044108
Fresh11213
Picked011
Done202
Total10717124

Merged error: 0.1b

Counts
124 → 17

regimes90.0ms

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
02220
12620
22620

end0.0ms

sample598.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 100%

Results
198.0ms1647×body1280valid
112.0ms1247×body640valid
102.0ms4143×body80valid
42.0ms644×body320valid
14.0ms319×body160valid

Profiling

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