Details

Time bar (total: 2.8s)

sample423.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 46.875%

Guaranteed chance to sample good point: 88.149127%

Results
10.0ms256×body80valid
1.0ms18×body80nan
0.0ms2×body80invalid

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 1 expressions with local error:

0.3b
(* x (log y))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt
6×log-prod
5×add-cube-cbrt *-un-lft-identity
4×pow1 associate-*r*
3×add-exp-log distribute-rgt-in distribute-lft-in associate-*l* add-cbrt-cube
1×pow-prod-down prod-exp log-pow *-commutative cbrt-unprod add-log-exp unswap-sqr
Counts
1 → 25
Calls
1 calls:
4.0ms
(* x (log y))

series7.0ms

Counts
1 → 3
Calls
1 calls:
7.0ms
(* x (log y))

simplify87.0ms

Algorithm
egg-herbie
Counts
28 → 28
Iterations

Useful iterations: 2 (9.0ms)

IterNodesCost
0101118
134299
298792
3320192
4500192

prune43.0ms

Filtered
16 candidates to 28 candidates (-75.0%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New24428
Fresh000
Picked011
Done000
Total24529

Merged error: 0.0b

Counts
29 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b
(* x (log (cbrt y)))
0.3b
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite24.0ms

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)

series82.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* x (log (cbrt y)))
21.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
21.0ms
(cbrt y)
22.0ms
(cbrt y)

simplify50.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0362765
11356673
25002593

prune137.0ms

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

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1113114
Fresh303
Picked101
Done011
Total1154119

Merged error: 0b

Counts
119 → 4

localize17.0ms

Local error

Found 4 expressions with local error:

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

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:
2.0ms
(cbrt (cbrt y))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series95.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(cbrt (cbrt y))
21.0ms
(cbrt y)
21.0ms
(cbrt y)
23.0ms
(cbrt y)

simplify78.0ms

Algorithm
egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 3 (13.0ms)

IterNodesCost
099239
1175221
2404181
31393175
45002175

prune87.0ms

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

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New59059
Fresh022
Picked011
Done011
Total59463

Merged error: 0b

Counts
63 → 4

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
15×cbrt-prod
13×add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity
6×pow1 add-exp-log sqrt-prod add-cbrt-cube
4×add-log-exp
3×pow1/3 associate-*r* associate-*l*
2×associate-*r/
1×distribute-rgt-in distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
4 → 61
Calls
4 calls:
7.0ms
(* x (+ (* 2 (log (cbrt y))) (log (cbrt (sqrt y)))))
2.0ms
(cbrt (sqrt y))
2.0ms
(cbrt (sqrt y))
1.0ms
(cbrt y)

series89.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(* x (+ (* 2 (log (cbrt y))) (log (cbrt (sqrt y)))))
15.0ms
(cbrt (sqrt y))
15.0ms
(cbrt (sqrt y))
23.0ms
(cbrt y)

simplify42.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0352518
11369463
25001424

prune94.0ms

Filtered
55 candidates to 73 candidates (-32.7%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New73073
Fresh011
Picked011
Done022
Total73477

Merged error: 0b

Counts
77 → 4

regimes262.0ms

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
sampling

Space saved by range analysis: 0%

Space saved by search: 46.875%

Guaranteed chance to sample good point: 88.149127%

Results
355.0ms8000×body80valid
17.0ms506×body80nan
1.0ms27×body80invalid

Profiling

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