Details

Time bar (total: 2.4s)

analyze188.0ms

Algorithm
search

sample18.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
0.0ms1×body80invalid
0.0ms1×body80nan

simplify15.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0144
1254
2414
3524
4854
51064
61414
72154
82364
92364

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (- (* x (log y)) z) y)
0.0b
(- (* x (log y)) z)
0.3b
(* x (log y))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
20×associate--l+
18×log-prod
15×add-sqr-sqrt
13×*-un-lft-identity
11×add-cube-cbrt
10×add-log-exp
9×distribute-rgt-in distribute-lft-in
6×pow1
5×add-exp-log add-cbrt-cube
4×diff-log associate-*r*
3×sub-neg associate-*l*
2×flip3-- flip--
1×associate--l- pow-prod-down prod-exp log-pow *-commutative cbrt-unprod distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 67
Calls
3 calls:
7.0ms
(- (- (* x (log y)) z) y)
4.0ms
(- (* x (log y)) z)
4.0ms
(* x (log y))

series25.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(- (- (* x (log y)) z) y)
10.0ms
(- (* x (log y)) z)
7.0ms
(* x (log y))

simplify59.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
0278385
1810356
22394328
35001328

prune88.0ms

Filtered
52 candidates to 76 candidates (-46.2%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New70676
Fresh000
Picked011
Done000
Total70777

Merged error: 0.0b

Counts
77 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(* x (log (cbrt y)))
0.3b
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
0.5b
(cbrt y)
0.5b
(cbrt y)

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
48×log-prod
36×distribute-rgt-in distribute-lft-in
30×cbrt-prod
26×add-sqr-sqrt
24×add-cube-cbrt associate-+l+ *-un-lft-identity
12×associate-+r+
7×pow1
6×add-exp-log add-cbrt-cube add-log-exp
5×associate-*r*
3×pow1/3 associate-*l*
2×log-pow
1×+-commutative flip3-+ pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
4 → 102
Calls
4 calls:
5.0ms
(* x (log (cbrt y)))
9.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series83.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* x (log (cbrt y)))
20.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
20.0ms
(cbrt y)
24.0ms
(cbrt y)

simplify47.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0362765
11356673
25002593

prune276.0ms

Filtered
87 candidates to 114 candidates (-31.0%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1122114
Fresh235
Picked101
Done011
Total1156121

Merged error: 0.0b

Counts
121 → 6

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b
(+ (* 2 (log (cbrt y))) (log (cbrt (sqrt y))))
0.5b
(cbrt y)
0.6b
(cbrt (sqrt y))
0.6b
(cbrt (sqrt y))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
27×cbrt-prod
21×log-prod
16×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×associate-+l+
9×associate-+r+ sqrt-prod
6×distribute-rgt-in distribute-lft-in
5×add-log-exp
4×pow1 add-exp-log add-cbrt-cube
3×pow1/3
1×+-commutative flip3-+ sum-log flip-+
Counts
4 → 71
Calls
4 calls:
7.0ms
(+ (* 2 (log (cbrt y))) (log (cbrt (sqrt y))))
1.0ms
(cbrt y)
2.0ms
(cbrt (sqrt y))
2.0ms
(cbrt (sqrt y))

series105.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(+ (* 2 (log (cbrt y))) (log (cbrt (sqrt y))))
21.0ms
(cbrt y)
15.0ms
(cbrt (sqrt y))
18.0ms
(cbrt (sqrt y))

simplify121.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 3 (113.0ms)

IterNodesCost
0326559
1914522
23467476
35002459

prune126.0ms

Filtered
64 candidates to 83 candidates (-29.7%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New82183
Fresh044
Picked011
Done011
Total82789

Merged error: 0b

Counts
89 → 7

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt y)
0.5b
(cbrt y)
0.6b
(cbrt (sqrt y))
0.6b
(cbrt (sqrt y))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×sqrt-prod
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 50
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
2.0ms
(cbrt (sqrt y))
2.0ms
(cbrt (sqrt y))

series74.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt y)
21.0ms
(cbrt y)
17.0ms
(cbrt (sqrt y))
15.0ms
(cbrt (sqrt y))

simplify45.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 3 (40.0ms)

IterNodesCost
0147284
1348262
21322218
35001208

prune72.0ms

Filtered
46 candidates to 62 candidates (-34.8%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New62062
Fresh044
Picked011
Done022
Total62769

Merged error: 0b

Counts
69 → 7

regimes269.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
084
184

end0.0ms

analyze181.0ms

Algorithm
search

sample446.0ms

Algorithm
intervals
Results
287.0ms7997×body80valid
1.0ms45×body80nan
1.0ms27×body80invalid
1.0ms2×body1280valid
0.0ms1×body640valid

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