Details

Time bar (total: 2.0s)

sample22.0ms

Algorithm
intervals
Results
6.0ms51×body1280valid
3.0ms142×body80valid
3.0ms33×body640valid
1.0ms17×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: 27.2b

Counts
2 → 1

localize5.0ms

Local error

Found 3 expressions with local error:

0.3b
(cbrt (+ x 1.0))
0.6b
(cbrt x)
4.0b
(- (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))

series42.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(cbrt (+ x 1.0))
21.0ms
(cbrt x)
15.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify121.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 3 (116.0ms)

IterNodesCost
0290405
1908390
24235335
35002332

prune93.0ms

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

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

series90.0ms

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

simplify72.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (66.0ms)

IterNodesCost
0148349
1471322
22276265
35002252

prune147.0ms

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

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New76985
Fresh123
Picked011
Done000
Total771289

Merged error: 0.3b

Counts
89 → 12

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 47
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
2.0ms
(cbrt (cbrt x))

series95.0ms

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

simplify76.0ms

Algorithm
egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 3 (13.0ms)

IterNodesCost
099239
1175221
2404181
31393175
45002175

prune139.0ms

Filtered
46 candidates to 59 candidates (-28.3%)
Pruning

15 alts after pruning (13 fresh and 2 done)

PrunedKeptTotal
New54559
Fresh2810
Picked011
Done011
Total561571

Merged error: 0.2b

Counts
71 → 15

localize23.0ms

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))

rewrite8.0ms

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))

series110.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt x)
29.0ms
(cbrt (cbrt x))
31.0ms
(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

prune115.0ms

Filtered
52 candidates to 65 candidates (-25.0%)
Pruning

17 alts after pruning (15 fresh and 2 done)

PrunedKeptTotal
New61465
Fresh11112
Picked101
Done022
Total631780

Merged error: 0.2b

Counts
80 → 17

regimes93.0ms

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
03037
13437
23437

end0.0ms

sample619.0ms

Algorithm
intervals
Results
207.0ms1747×body1280valid
112.0ms1193×body640valid
101.0ms4123×body80valid
44.0ms611×body320valid
15.0ms326×body160valid

Profiling

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