Details

Time bar (total: 2.1s)

analyze1.0ms

Algorithm
search

sample21.0ms

Algorithm
intervals
Results
7.0ms64×body1280valid
3.0ms38×body640valid
3.0ms117×body80valid
2.0ms24×body320valid
1.0ms13×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: 33.3b

Counts
2 → 1

localize5.0ms

Local error

Found 3 expressions with local error:

0.3b
(cbrt (+ x 1.0))
0.6b
(cbrt x)
4.3b
(- (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))

series43.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(cbrt (+ x 1.0))
21.0ms
(cbrt x)
16.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify123.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 3 (114.0ms)

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: 0.6b

Counts
54 → 6

localize13.0ms

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)

rewrite11.0ms

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)

series91.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(* (cbrt x) (cbrt x))
21.0ms
(cbrt x)
21.0ms
(cbrt x)
22.0ms
(cbrt x)

simplify72.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (66.0ms)

IterNodesCost
0148349
1471322
22276265
35002252

prune154.0ms

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

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New731285
Fresh235
Picked011
Done000
Total751691

Merged error: 0.3b

Counts
91 → 16

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
30×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 53
Calls
4 calls:
1.0ms
(cbrt x)
2.0ms
(cbrt (cbrt x))
2.0ms
(cbrt (cbrt x))
2.0ms
(cbrt (cbrt x))

series111.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt x)
29.0ms
(cbrt (cbrt x))
32.0ms
(cbrt (cbrt x))
29.0ms
(cbrt (cbrt x))

simplify79.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 3 (13.0ms)

IterNodesCost
099309
1175287
2404247
31393237
45002237

prune154.0ms

Filtered
53 candidates to 65 candidates (-22.6%)
Pruning

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New60565
Fresh21214
Picked101
Done101
Total641781

Merged error: 0.3b

Counts
81 → 17

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
12×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 → 44
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series87.0ms

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

simplify122.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 4 (22.0ms)

IterNodesCost
059204
1101188
2205148
3559144
42708128
55002128

prune86.0ms

Filtered
44 candidates to 56 candidates (-27.3%)
Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New55156
Fresh01616
Picked011
Done000
Total551873

Merged error: 0.3b

Counts
73 → 18

regimes171.0ms

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
02124
12524
22524

end0.0ms

analyze1.0ms

Algorithm
search

sample551.0ms

Algorithm
intervals
Results
202.0ms1744×body1280valid
108.0ms1264×body640valid
93.0ms4039×body80valid
40.0ms631×body320valid
14.0ms322×body160valid

Profiling

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