Details

sample465.0ms

Algorithm

intervals

Results

319.0ms	246×	body	10240	exit
58.0ms	55×	body	640	valid
30.0ms	54×	body	1280	valid
8.0ms	173×	body	80	nan
6.0ms	101×	body	80	valid
4.0ms	27×	body	320	valid
4.0ms	3×	body	2560	valid
2.0ms	16×	body	160	valid

simplify25.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

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: 31.6b

localize66.0ms

Local error

Found 1 expressions with local error:

35.8b

(fmod (cosh c) (log1p a))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

1 → 9

Calls

1 calls:

1.0ms

(fmod (cosh c) (log1p a))

series18.0ms

Counts

1 → 3

Calls

1 calls:

18.0ms

(fmod (cosh c) (log1p a))

simplify1.6s

Counts

12 → 12

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	14	87
1	21	87
2	26	77
3	32	77
4	40	77
5	74	77
6	154	77
7	324	77
8	1030	77
done	5000	77

prune83.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 31.6b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (fmod (cosh c) (log1p a)))
35.8b	(fmod (cosh c) (log1p a))
35.8b	(fmod (cosh c) (log1p a))
35.8b	(fmod (cosh c) (log1p a))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod`
1×	`pow1/3`

Counts

4 → 40

Calls

4 calls:

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

series99.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(cbrt (fmod (cosh c) (log1p a)))
3.0ms	(fmod (cosh c) (log1p a))
3.0ms	(fmod (cosh c) (log1p a))
3.0ms	(fmod (cosh c) (log1p a))

simplify2.0s

Counts

52 → 52

Iterations

Useful iterations: 3 (46.0ms)

Iter	Nodes	Cost
0	28	409
1	45	405
2	96	339
3	248	336
4	1210	336
done	5000	336

prune280.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 31.6b

localize32.0ms

Local error

Found 4 expressions with local error:

0.5b	(log (cbrt (fmod (cosh c) (log1p a))))
35.8b	(fmod (cosh c) (log1p a))
35.8b	(fmod (cosh c) (log1p a))
35.8b	(fmod (cosh c) (log1p a))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `add-cube-cbrt` `log-prod` `*-un-lft-identity`
5×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod`
2×	`log-pow`
1×	`pow1/3` `rem-log-exp`

Counts

4 → 45

Calls

4 calls:

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

series113.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(log (cbrt (fmod (cosh c) (log1p a))))
3.0ms	(fmod (cosh c) (log1p a))
3.0ms	(fmod (cosh c) (log1p a))
3.0ms	(fmod (cosh c) (log1p a))

simplify981.0ms

Counts

57 → 57

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	41	492
1	61	484
2	127	410
3	296	410
4	1441	410
done	5001	410

prune395.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 31.6b

localize45.0ms

Local error

Found 4 expressions with local error:

0.5b	(log (cbrt (fmod (cosh c) (log1p a))))
35.8b	(fmod (cosh c) (log1p a))
35.8b	(fmod (cosh c) (log1p a))
35.8b	(fmod (cosh c) (log1p a))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `add-cube-cbrt` `log-prod` `*-un-lft-identity`
5×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod`
2×	`log-pow`
1×	`pow1/3` `rem-log-exp`

Counts

4 → 45

Calls

4 calls:

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

series108.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify1.0s

Counts

57 → 57

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	41	492
1	61	484
2	127	410
3	296	410
4	1441	410
done	5001	410

prune331.0ms

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 31.6b

regimes832.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	36
1	21	36
done	21	36

end0.0ms

sample19.3s

Algorithm

intervals

Results

13.7s	7897×	body	10240	exit
1.8s	2301×	body	1280	valid
965.0ms	5128×	body	80	nan
694.0ms	2807×	body	80	valid
636.0ms	1577×	body	640	valid
241.0ms	143×	body	2560	valid
226.0ms	787×	body	320	valid
61.0ms	379×	body	160	valid
14.0ms	6×	body	5120	valid