Details

sample604.0ms

Algorithm

intervals

Results

457.0ms	259×	body	10240	exit
59.0ms	76×	body	1280	valid
20.0ms	55×	body	640	valid
11.0ms	190×	body	80	nan
8.0ms	4×	body	2560	valid
6.0ms	82×	body	80	valid
4.0ms	17×	body	320	valid
3.0ms	21×	body	160	valid
2.0ms	1×	body	5120	valid

simplify70.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	5	5
1	11	5
2	14	5
3	16	5
done	16	5

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 35.2b

localize23.0ms

Local error

Found 2 expressions with local error:

0.0b	(log1p a)
39.9b	(fmod (cosh c) (log1p a))

rewrite4.0ms

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))

series20.0ms

Counts

2 → 6

Calls

2 calls:

2.0ms	(log1p a)
17.0ms	(fmod (cosh c) (log1p a))

simplify4.5s

Counts

20 → 20

Iterations

Useful iterations: 2 (15.0ms)

Iter	Nodes	Cost
0	19	111
1	27	111
2	33	97
3	41	97
4	50	97
5	67	97
6	106	97
7	251	97
8	842	97
9	3642	97
done	5001	97

prune88.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 34.1b

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (log1p a))
0.6b	(cbrt (log1p a))
0.6b	(cbrt (log1p a))
39.9b	(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))))

series452.0ms

Counts

4 → 12

Calls

4 calls:

130.0ms	(cbrt (log1p a))
164.0ms	(cbrt (log1p a))
154.0ms	(cbrt (log1p a))
4.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))

simplify1.4s

Counts

52 → 52

Iterations

Useful iterations: 3 (46.0ms)

Iter	Nodes	Cost
0	28	396
1	42	384
2	73	281
3	127	248
4	329	248
5	1325	248
done	5000	248

prune267.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 33.5b

localize40.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt (cbrt (log1p a)))
0.7b	(cbrt (cbrt (log1p a)))
0.7b	(cbrt (cbrt (log1p a)))
39.9b	(fmod (cosh c) (* (* (cbrt (log1p a)) (* (* (cbrt (cbrt (log1p a))) (cbrt (cbrt (log1p a)))) (cbrt (cbrt (log1p a))))) (cbrt (log1p a))))

rewrite11.0ms

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:

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

series558.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(cbrt (cbrt (log1p a)))
178.0ms	(cbrt (cbrt (log1p a)))
195.0ms	(cbrt (cbrt (log1p a)))
7.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (* (* (cbrt (cbrt (log1p a))) (cbrt (cbrt (log1p a)))) (cbrt (cbrt (log1p a))))) (cbrt (log1p a))))

simplify2.0s

Counts

61 → 61

Iterations

Useful iterations: 6 (661.0ms)

Iter	Nodes	Cost
0	38	647
1	56	638
2	80	500
3	122	467
4	199	416
5	488	392
6	1533	380
done	5000	380

prune347.0ms

Pruning

30 alts after pruning (28 fresh and 2 done)

Merged error: 33.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt (cbrt (log1p a)))
0.7b	(cbrt (cbrt (log1p a)))
0.7b	(cbrt (cbrt (log1p a)))
39.9b	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (* (* (cbrt (cbrt (log1p a))) (cbrt (cbrt (log1p a)))) (cbrt (cbrt (log1p a))))))

rewrite6.0ms

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)))
2.0ms	(cbrt (cbrt (log1p a)))
2.0ms	(cbrt (cbrt (log1p a)))
0.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (* (* (cbrt (cbrt (log1p a))) (cbrt (cbrt (log1p a)))) (cbrt (cbrt (log1p a))))))

series459.0ms

Counts

4 → 12

Calls

4 calls:

160.0ms	(cbrt (cbrt (log1p a)))
152.0ms	(cbrt (cbrt (log1p a)))
142.0ms	(cbrt (cbrt (log1p a)))
4.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (* (* (cbrt (cbrt (log1p a))) (cbrt (cbrt (log1p a)))) (cbrt (cbrt (log1p a))))))

simplify1.9s

Counts

61 → 61

Iterations

Useful iterations: 6 (540.0ms)

Iter	Nodes	Cost
0	37	647
1	56	638
2	82	500
3	127	467
4	200	416
5	482	392
6	1497	380
done	5000	380

prune181.0ms

Pruning

32 alts after pruning (30 fresh and 2 done)

Merged error: 32.9b

regimes433.0ms

Accuracy

0% (1.8b remaining)

Error of 33.7b against oracle of 31.9b and baseline of 33.7b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	25
1	14	25
done	14	25

end0.0ms

sample12.9s

Algorithm

intervals

Results

9.6s	7891×	body	10240	exit
1.2s	2272×	body	1280	valid
607.0ms	5272×	body	80	nan
531.0ms	1580×	body	640	valid
172.0ms	2793×	body	80	valid
158.0ms	143×	body	2560	valid
114.0ms	756×	body	320	valid
51.0ms	445×	body	160	valid
18.0ms	11×	body	5120	valid