Details

Time bar (total: 4.9s)

sample46.0ms

Algorithm
intervals
Results
11.0ms266×body80nan
10.0ms257×body80valid
1.0ms1×body2560valid

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

Filtered
1 candidates to 0 candidates (100.0%)
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)
0.2b
(* x (log y))

rewrite18.0ms

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)
5.0ms
(* x (log y))

series27.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(- (- (* x (log y)) z) y)
11.0ms
(- (* x (log y)) z)
8.0ms
(* x (log y))

simplify58.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
0278385
1810356
22394328
35001328

prune243.0ms

Filtered
76 candidates to 52 candidates (31.6%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New72476
Fresh000
Picked011
Done000
Total72577

Merged error: 0.0b

Counts
77 → 5

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))))
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite22.0ms

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)))
10.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series87.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* x (log (cbrt y)))
21.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
24.0ms
(cbrt y)
23.0ms
(cbrt y)

simplify47.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0362765
11356673
25002593

prune1.0s

Filtered
114 candidates to 87 candidates (23.7%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1131114
Fresh033
Picked011
Done011
Total1136119

Merged error: 0.0b

Counts
119 → 6

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b
(+ (* 2 (log (cbrt y))) (log (cbrt (sqrt y))))
0.6b
(cbrt (sqrt y))
0.6b
(cbrt (sqrt y))
0.6b
(cbrt 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:
8.0ms
(+ (* 2 (log (cbrt y))) (log (cbrt (sqrt y))))
2.0ms
(cbrt (sqrt y))
2.0ms
(cbrt (sqrt y))
1.0ms
(cbrt y)

series106.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(+ (* 2 (log (cbrt y))) (log (cbrt (sqrt y))))
18.0ms
(cbrt (sqrt y))
16.0ms
(cbrt (sqrt y))
21.0ms
(cbrt y)

simplify121.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 3 (114.0ms)

IterNodesCost
0326559
1914522
23467476
35002459

prune819.0ms

Filtered
83 candidates to 64 candidates (22.9%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New83083
Fresh033
Picked011
Done022
Total83689

Merged error: 0.0b

Counts
89 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- (* x (log y)) z)) (cbrt (- (* x (log y)) z)))
0.5b
(cbrt (- (* x (log y)) z))
0.5b
(cbrt (- (* x (log y)) z))
0.5b
(cbrt (- (* x (log y)) z))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-- pow1/3 flip--
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
11.0ms
(* (cbrt (- (* x (log y)) z)) (cbrt (- (* x (log y)) z)))
4.0ms
(cbrt (- (* x (log y)) z))
4.0ms
(cbrt (- (* x (log y)) z))
4.0ms
(cbrt (- (* x (log y)) z))

series229.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(* (cbrt (- (* x (log y)) z)) (cbrt (- (* x (log y)) z)))
61.0ms
(cbrt (- (* x (log y)) z))
48.0ms
(cbrt (- (* x (log y)) z))
46.0ms
(cbrt (- (* x (log y)) z))

simplify55.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
04261282
115251214
25001996

prune505.0ms

Filtered
99 candidates to 75 candidates (24.2%)
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New99099
Fresh022
Picked011
Done033
Total996105

Merged error: 0.0b

Counts
105 → 6

regimes284.0ms

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

sample1.1s

Algorithm
intervals
Results
291.0ms8030×body80valid
219.0ms8095×body80nan
0.0ms1×body2560valid
0.0ms1×body640valid

Profiling

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