Details

sample320.0ms

Algorithm

intervals

Results

241.0ms	236×	body	10240	exit
32.0ms	72×	body	1280	valid
11.0ms	52×	body	640	valid
7.0ms	6×	body	2560	valid
4.0ms	93×	body	80	valid
4.0ms	151×	body	80	nan
2.0ms	20×	body	160	valid
2.0ms	13×	body	320	valid

simplify27.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	5	5
1	11	5
2	14	5
3	16	5
4	18	5
5	19	5
6	25	5
7	35	5
8	58	5
9	149	5
10	1455	5
done	5001	5

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.2b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(log1p a)
37.4b	(fmod (cosh c) (log1p a))

rewrite1.0ms

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:

0.0ms	(log1p a)
0.0ms	(fmod (cosh c) (log1p a))

series3.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify1.7s

Counts

20 → 20

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	19	111
1	27	111
2	33	97
3	41	97
4	52	97
5	85	97
6	168	97
7	560	97
8	1699	97
done	5000	97

prune70.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 32.4b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (log1p a))
0.6b	(cbrt (log1p a))
0.6b	(cbrt (log1p a))
37.4b	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))

rewrite5.0ms

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:

3.0ms	(cbrt (log1p a))
0.0ms	(cbrt (log1p a))
1.0ms	(cbrt (log1p a))
0.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))

series309.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(cbrt (log1p a))
102.0ms	(cbrt (log1p a))
102.0ms	(cbrt (log1p a))
2.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))

simplify1.3s

Counts

52 → 52

Iterations

Useful iterations: 3 (33.0ms)

Iter	Nodes	Cost
0	28	396
1	42	384
2	76	281
3	153	248
4	395	248
5	1810	248
done	5001	248

prune165.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 31.8b

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)))
37.4b	(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

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:

1.0ms	(cbrt (cbrt (log1p a)))
1.0ms	(cbrt (cbrt (log1p a)))
1.0ms	(cbrt (cbrt (log1p a)))
0.0ms	(fmod (cosh c) (* (* (* (* (cbrt (cbrt (log1p a))) (cbrt (cbrt (log1p a)))) (cbrt (cbrt (log1p a)))) (cbrt (log1p a))) (cbrt (log1p a))))

series314.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(cbrt (cbrt (log1p a)))
102.0ms	(cbrt (cbrt (log1p a)))
106.0ms	(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))))

simplify2.1s

Counts

61 → 61

Iterations

Useful iterations: 6 (707.0ms)

Iter	Nodes	Cost
0	38	647
1	57	641
2	84	500
3	140	467
4	263	416
5	798	392
6	2434	386
done	5001	386

prune239.0ms

Pruning

28 alts after pruning (26 fresh and 2 done)

Merged error: 31.3b

localize19.0ms

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)))
37.4b	(fmod (cosh c) (* (* (* (* (cbrt (cbrt (log1p a))) (cbrt (cbrt (log1p a)))) (* (* (cbrt (cbrt (cbrt (log1p a)))) (cbrt (cbrt (cbrt (log1p a))))) (cbrt (cbrt (cbrt (log1p a)))))) (cbrt (log1p a))) (cbrt (log1p a))))

rewrite4.0ms

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:

1.0ms	(cbrt (cbrt (log1p a)))
1.0ms	(cbrt (cbrt (log1p a)))
1.0ms	(cbrt (cbrt (log1p a)))
0.0ms	(fmod (cosh c) (* (* (* (* (cbrt (cbrt (log1p a))) (cbrt (cbrt (log1p a)))) (* (* (cbrt (cbrt (cbrt (log1p a)))) (cbrt (cbrt (cbrt (log1p a))))) (cbrt (cbrt (cbrt (log1p a)))))) (cbrt (log1p a))) (cbrt (log1p a))))

series310.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(cbrt (cbrt (log1p a)))
105.0ms	(cbrt (cbrt (log1p a)))
101.0ms	(cbrt (cbrt (log1p a)))
3.0ms	(fmod (cosh c) (* (* (* (* (cbrt (cbrt (log1p a))) (cbrt (cbrt (log1p a)))) (* (* (cbrt (cbrt (cbrt (log1p a)))) (cbrt (cbrt (cbrt (log1p a))))) (cbrt (cbrt (cbrt (log1p a)))))) (cbrt (log1p a))) (cbrt (log1p a))))

simplify4.2s

Counts

61 → 61

Iterations

Useful iterations: 5 (925.0ms)

Iter	Nodes	Cost
0	40	777
1	65	771
2	123	588
3	294	467
4	1014	410
5	3977	386
done	5000	386

prune188.0ms

Pruning

30 alts after pruning (28 fresh and 2 done)

Merged error: 31.2b

regimes616.0ms

Accuracy

0% (1.8b remaining)

Error of 33.9b against oracle of 32.0b and baseline of 33.9b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	48
1	25	48
done	25	48

end0.0ms

sample9.9s

Algorithm

intervals

Results

7.6s	7889×	body	10240	exit
986.0ms	2326×	body	1280	valid
331.0ms	1617×	body	640	valid
145.0ms	5215×	body	80	nan
127.0ms	126×	body	2560	valid
107.0ms	2770×	body	80	valid
91.0ms	752×	body	320	valid
38.0ms	401×	body	160	valid
12.0ms	8×	body	5120	valid