Details

sample481.0ms

Algorithm

intervals

Results

353.0ms	197×	body	10240	exit
54.0ms	75×	body	1280	valid
16.0ms	46×	body	640	valid
9.0ms	167×	body	80	nan
7.0ms	29×	body	320	valid
6.0ms	86×	body	80	valid
3.0ms	2×	body	2560	valid
3.0ms	18×	body	160	valid

simplify13.0ms

Counts

1 → 1

Iterations

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 34.3b

localize11.0ms

Local error

Found 1 expressions with local error:

38.7b

(fmod (cosh c) (log1p a))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 9

Calls

1 calls:

1.0ms

(fmod (cosh c) (log1p a))

series10.0ms

Counts

1 → 3

Calls

1 calls:

10.0ms

(fmod (cosh c) (log1p a))

simplify3.1s

Counts

12 → 12

Iterations

Iter	Nodes
done	5002
9	1174
8	364
7	158
6	89
5	59
4	40
3	32
2	26
1	21
0	14

prune111.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 34.3b

localize15.0ms

Local error

Found 3 expressions with local error:

0.6b	(exp (log (fmod (cosh c) (log1p a))))
0.8b	(log (fmod (cosh c) (log1p a)))
38.7b	(fmod (cosh c) (log1p a))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 40

Calls

3 calls:

2.0ms	(exp (log (fmod (cosh c) (log1p a))))
3.0ms	(log (fmod (cosh c) (log1p a)))
0.0ms	(fmod (cosh c) (log1p a))

series34.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(exp (log (fmod (cosh c) (log1p a))))
27.0ms	(log (fmod (cosh c) (log1p a)))
4.0ms	(fmod (cosh c) (log1p a))

simplify3.4s

Counts

49 → 49

Iterations

Iter	Nodes
done	5010
8	3912
7	1451
6	661
5	352
4	201
3	128
2	90
1	66
0	44

prune395.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 34.3b

localize27.0ms

Local error

Found 3 expressions with local error:

0.7b	(pow E (log (fmod (cosh c) (log1p a))))
0.8b	(log (fmod (cosh c) (log1p a)))
38.7b	(fmod (cosh c) (log1p a))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`pow1` `log-prod`
5×	`add-exp-log`
4×	`pow-unpow`
3×	`expm1-log1p-u` `unpow-prod-up` `unpow-prod-down` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-exp` `log-pow`
1×	`pow-to-exp` `e-exp-1` `pow-pow` `rem-log-exp` `sqr-pow`

Counts

3 → 47

Calls

3 calls:

5.0ms	(pow E (log (fmod (cosh c) (log1p a))))
2.0ms	(log (fmod (cosh c) (log1p a)))
0.0ms	(fmod (cosh c) (log1p a))

series98.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(pow E (log (fmod (cosh c) (log1p a))))
34.0ms	(log (fmod (cosh c) (log1p a)))
5.0ms	(fmod (cosh c) (log1p a))

simplify2.0s

Counts

56 → 56

Iterations

Iter	Nodes
done	5000
4	1858
3	633
2	241
1	123
0	59

prune371.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 34.3b

localize46.0ms

Local error

Found 4 expressions with local error:

0.8b	(log (fmod (cosh c) (log1p a)))
38.7b	(fmod (cosh c) (log1p a))
38.7b	(fmod (cosh c) (log1p a))
38.7b	(fmod (cosh c) (log1p a))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 41

Calls

4 calls:

2.0ms	(log (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))

series56.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(log (fmod (cosh c) (log1p a)))
6.0ms	(fmod (cosh c) (log1p a))
5.0ms	(fmod (cosh c) (log1p a))
6.0ms	(fmod (cosh c) (log1p a))

simplify2.9s

Counts

53 → 53

Iterations

Iter	Nodes
done	5005
9	2943
8	988
7	415
6	210
5	127
4	85
3	64
2	52
1	42
0	28

prune336.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 34.3b

regimes825.0ms

Accuracy

0% (0.0b remaining)

Error of 33.8b against oracle of 33.8b and baseline of 33.8b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	16
2	16
1	14
0	11

end0.0ms

sample19.0s

Algorithm

intervals

Results

14.3s	7860×	body	10240	exit
2.1s	2269×	body	1280	valid
702.0ms	1581×	body	640	valid
413.0ms	5404×	body	80	nan
295.0ms	2821×	body	80	valid
259.0ms	135×	body	2560	valid
181.0ms	810×	body	320	valid
62.0ms	380×	body	160	valid
10.0ms	4×	body	5120	valid