Details

sample352.0ms

Algorithm

intervals

Results

275.0ms	274×	body	10240	exit
30.0ms	68×	body	1280	valid
10.0ms	48×	body	640	valid
6.0ms	202×	body	80	nan
4.0ms	4×	body	2560	valid
4.0ms	95×	body	80	valid
3.0ms	22×	body	320	valid
2.0ms	19×	body	160	valid

simplify218.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	3
1	14	3
2	16	3
3	18	3
4	19	3
5	24	3
6	43	3
7	64	3
8	154	3
9	1044	3
10	5001	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.9b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(log1p a)
37.3b	(fmod (cosh c) (log1p a))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

2×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`

Counts

2 → 14

Calls

2 calls:

1.0ms	(log1p a)
1.0ms	(fmod (cosh c) (log1p a))

series10.0ms

Counts

2 → 6

Calls

2 calls:

1.0ms	(log1p a)
9.0ms	(fmod (cosh c) (log1p a))

simplify106.0ms

Algorithm

egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	27	72
1	33	62
2	40	62
3	50	62
4	79	62
5	158	62
6	702	62
7	2342	62
8	5001	62

prune66.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 31.9b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (log1p a))
0.6b	(cbrt (log1p a))
0.6b	(cbrt (log1p a))
37.3b	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`pow1/3`

Counts

4 → 40

Calls

4 calls:

1.0ms	(cbrt (log1p a))
1.0ms	(cbrt (log1p a))
3.0ms	(cbrt (log1p a))
1.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))

series302.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(cbrt (log1p a))
97.0ms	(cbrt (log1p a))
103.0ms	(cbrt (log1p a))
2.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))

simplify90.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 3 (8.0ms)

Iter	Nodes	Cost
0	41	281
1	73	245
2	152	239
3	486	232
4	2446	232
5	5001	232

prune198.0ms

Pruning

23 alts after pruning (21 fresh and 2 done)

Merged error: 31.3b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt (log1p a)))
0.6b	(cbrt (cbrt (log1p a)))
0.6b	(cbrt (cbrt (log1p a)))
37.3b	(fmod (cosh c) (* (* (* (* (cbrt (cbrt (log1p a))) (cbrt (cbrt (log1p a)))) (cbrt (cbrt (log1p a)))) (cbrt (log1p a))) (cbrt (log1p a))))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

27×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`pow1/3`

Counts

4 → 49

Calls

4 calls:

2.0ms	(cbrt (cbrt (log1p a)))
2.0ms	(cbrt (cbrt (log1p a)))
2.0ms	(cbrt (cbrt (log1p a)))
1.0ms	(fmod (cosh c) (* (* (* (* (cbrt (cbrt (log1p a))) (cbrt (cbrt (log1p a)))) (cbrt (cbrt (log1p a)))) (cbrt (log1p a))) (cbrt (log1p a))))

series305.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(cbrt (cbrt (log1p a)))
104.0ms	(cbrt (cbrt (log1p a)))
99.0ms	(cbrt (cbrt (log1p a)))
3.0ms	(fmod (cosh c) (* (* (* (* (cbrt (cbrt (log1p a))) (cbrt (cbrt (log1p a)))) (cbrt (cbrt (log1p a)))) (cbrt (log1p a))) (cbrt (log1p a))))

simplify124.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 6 (119.0ms)

Iter	Nodes	Cost
0	56	491
1	83	431
2	139	425
3	286	425
4	1005	425
5	3398	406
6	5001	397

prune268.0ms

Pruning

36 alts after pruning (34 fresh and 2 done)

Merged error: 30.9b

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt (log1p a)))
37.3b	(fmod (cosh c) (* (* (* (* (cbrt (cbrt (log1p a))) (cbrt (cbrt (log1p a)))) (cbrt (cbrt (log1p a)))) (cbrt (log1p a))) (cbrt (log1p a))))
37.3b	(fmod (cosh c) (* (* (* (* (cbrt (cbrt (log1p a))) (cbrt (cbrt (log1p a)))) (cbrt (cbrt (log1p a)))) (cbrt (log1p a))) (cbrt (log1p a))))
37.3b	(fmod (cosh c) (* (* (* (* (cbrt (cbrt (log1p a))) (cbrt (cbrt (log1p a)))) (cbrt (cbrt (log1p a)))) (cbrt (log1p a))) (cbrt (log1p a))))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
1×	`pow1/3`

Counts

4 → 35

Calls

4 calls:

2.0ms	(cbrt (cbrt (log1p a)))
1.0ms	(fmod (cosh c) (* (* (* (* (cbrt (cbrt (log1p a))) (cbrt (cbrt (log1p a)))) (cbrt (cbrt (log1p a)))) (cbrt (log1p a))) (cbrt (log1p a))))
1.0ms	(fmod (cosh c) (* (* (* (* (cbrt (cbrt (log1p a))) (cbrt (cbrt (log1p a)))) (cbrt (cbrt (log1p a)))) (cbrt (log1p a))) (cbrt (log1p a))))
1.0ms	(fmod (cosh c) (* (* (* (* (cbrt (cbrt (log1p a))) (cbrt (cbrt (log1p a)))) (cbrt (cbrt (log1p a)))) (cbrt (log1p a))) (cbrt (log1p a))))

series108.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(cbrt (cbrt (log1p a)))
3.0ms	(fmod (cosh c) (* (* (* (* (cbrt (cbrt (log1p a))) (cbrt (cbrt (log1p a)))) (cbrt (cbrt (log1p a)))) (cbrt (log1p a))) (cbrt (log1p a))))
3.0ms	(fmod (cosh c) (* (* (* (* (cbrt (cbrt (log1p a))) (cbrt (cbrt (log1p a)))) (cbrt (cbrt (log1p a)))) (cbrt (log1p a))) (cbrt (log1p a))))
3.0ms	(fmod (cosh c) (* (* (* (* (cbrt (cbrt (log1p a))) (cbrt (cbrt (log1p a)))) (cbrt (cbrt (log1p a)))) (cbrt (log1p a))) (cbrt (log1p a))))

simplify122.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 6 (117.0ms)

Iter	Nodes	Cost
0	56	721
1	83	597
2	139	595
3	286	595
4	1005	595
5	3398	546
6	5001	543

prune191.0ms

Pruning

45 alts after pruning (43 fresh and 2 done)

Merged error: 30.7b

regimes959.0ms

Accuracy

0% (2.0b remaining)

Error of 34.0b against oracle of 32.0b and baseline of 34.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	84
1	22	84

end0.0ms

sample10.4s

Algorithm

intervals

Results

8.0s	7910×	body	10240	exit
1.0s	2294×	body	1280	valid
353.0ms	1615×	body	640	valid
152.0ms	5305×	body	80	nan
148.0ms	141×	body	2560	valid
111.0ms	2740×	body	80	valid
100.0ms	789×	body	320	valid
39.0ms	411×	body	160	valid
15.0ms	10×	body	5120	valid