Details

sample455.0ms

Algorithm

intervals

Results

353.0ms	271×	body	10240	exit
36.0ms	69×	body	1280	valid
13.0ms	53×	body	640	valid
6.0ms	146×	body	80	nan
5.0ms	95×	body	80	valid
4.0ms	3×	body	2560	valid
4.0ms	23×	body	320	valid
2.0ms	12×	body	160	valid
1.0ms	1×	body	5120	valid

simplify47.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.4b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(log1p a)
37.8b	(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:

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

series56.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(log1p a)
53.0ms	(fmod (cosh c) (log1p a))

simplify4.6s

Counts

20 → 20

Iterations

Useful iterations: 2 (18.0ms)

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

prune110.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 32.4b

localize29.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (log1p a))
0.6b	(cbrt (log1p a))
0.6b	(cbrt (log1p a))
37.8b	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))

rewrite10.0ms

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:

2.0ms	(cbrt (log1p a))
2.0ms	(cbrt (log1p a))
4.0ms	(cbrt (log1p a))
1.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))

series454.0ms

Counts

4 → 12

Calls

4 calls:

149.0ms	(cbrt (log1p a))
161.0ms	(cbrt (log1p a))
138.0ms	(cbrt (log1p a))
6.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))

simplify1.4s

Counts

52 → 52

Iterations

Useful iterations: 3 (34.0ms)

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

prune225.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 31.7b

localize51.0ms

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)))
37.8b	(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:

1.0ms	(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))))

series492.0ms

Counts

4 → 12

Calls

4 calls:

158.0ms	(cbrt (cbrt (log1p a)))
179.0ms	(cbrt (cbrt (log1p a)))
151.0ms	(cbrt (cbrt (log1p a)))
4.0ms	(fmod (cosh c) (* (* (* (* (cbrt (cbrt (log1p a))) (cbrt (cbrt (log1p a)))) (cbrt (cbrt (log1p a)))) (cbrt (log1p a))) (cbrt (log1p a))))

simplify2.2s

Counts

61 → 61

Iterations

Useful iterations: 6 (667.0ms)

Iter	Nodes	Cost
0	38	647
1	57	638
2	85	500
3	116	467
4	189	416
5	465	392
6	1509	380
done	5001	380

prune356.0ms

Pruning

25 alts after pruning (23 fresh and 2 done)

Merged error: 31.2b

localize50.0ms

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)))
37.8b	(fmod (cosh c) (* (* (* (* (cbrt (cbrt (log1p a))) (* (cbrt (pow (cbrt (cbrt (log1p a))) 2)) (cbrt (cbrt (cbrt (log1p a)))))) (cbrt (cbrt (log1p a)))) (cbrt (log1p a))) (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)))
1.0ms	(cbrt (cbrt (log1p a)))
2.0ms	(cbrt (cbrt (log1p a)))
0.0ms	(fmod (cosh c) (* (* (* (* (cbrt (cbrt (log1p a))) (* (cbrt (pow (cbrt (cbrt (log1p a))) 2)) (cbrt (cbrt (cbrt (log1p a)))))) (cbrt (cbrt (log1p a)))) (cbrt (log1p a))) (cbrt (log1p a))))

series492.0ms

Counts

4 → 12

Calls

4 calls:

171.0ms	(cbrt (cbrt (log1p a)))
151.0ms	(cbrt (cbrt (log1p a)))
165.0ms	(cbrt (cbrt (log1p a)))
5.0ms	(fmod (cosh c) (* (* (* (* (cbrt (cbrt (log1p a))) (* (cbrt (pow (cbrt (cbrt (log1p a))) 2)) (cbrt (cbrt (cbrt (log1p a)))))) (cbrt (cbrt (log1p a)))) (cbrt (log1p a))) (cbrt (log1p a))))

simplify3.1s

Counts

61 → 61

Iterations

Useful iterations: done (3.1s)

Iter	Nodes	Cost
0	44	737
1	70	710
2	120	603
3	324	594
4	1232	583
done	5001	543

prune431.0ms

Pruning

35 alts after pruning (33 fresh and 2 done)

Merged error: 30.7b

regimes1.2s

Accuracy

0% (2.1b remaining)

Error of 33.9b against oracle of 31.9b and baseline of 33.9b

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	44
1	27	44
done	27	44

end0.0ms

sample19.1s

Algorithm

intervals

Results

13.4s	7854×	body	10240	exit
1.8s	2360×	body	1280	valid
746.0ms	156×	body	2560	valid
669.0ms	1594×	body	640	valid
501.0ms	360×	body	160	valid
399.0ms	5226×	body	80	nan
301.0ms	2759×	body	80	valid
265.0ms	762×	body	320	valid
41.0ms	9×	body	5120	valid