Details

sample373.0ms

Algorithm

intervals

Results

284.0ms	257×	body	10240	exit
39.0ms	80×	body	1280	valid
13.0ms	49×	body	640	valid
5.0ms	147×	body	80	nan
4.0ms	87×	body	80	valid
4.0ms	4×	body	2560	valid
3.0ms	22×	body	320	valid
2.0ms	14×	body	160	valid

simplify217.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	3
1	14	3
2	16	3
3	18	3
4	19	3
5	24	3
6	44	3
7	69	3
8	169	3
9	1127	3
10	5002	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 34.3b

localize6.0ms

Local error

Found 1 expressions with local error:

39.1b

(fmod (cosh c) (log1p a))

rewrite0.0ms

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:

0.0ms

(fmod (cosh c) (log1p a))

series2.0ms

Counts

1 → 3

Calls

1 calls:

2.0ms

(fmod (cosh c) (log1p a))

simplify97.0ms

Algorithm

egg-herbie

Counts

12 → 12

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	21	57
1	26	50
2	31	50
3	38	50
4	58	50
5	117	50
6	567	50
7	1852	50
8	5001	50

prune41.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 34.3b

localize8.0ms

Local error

Found 3 expressions with local error:

0.6b	(exp (log (fmod (cosh c) (log1p a))))
1.6b	(log (fmod (cosh c) (log1p a)))
39.1b	(fmod (cosh c) (log1p a))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 40

Calls

3 calls:

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

series23.0ms

Counts

3 → 9

Calls

3 calls:

2.0ms	(exp (log (fmod (cosh c) (log1p a))))
19.0ms	(log (fmod (cosh c) (log1p a)))
2.0ms	(fmod (cosh c) (log1p a))

simplify83.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 3 (6.0ms)

Iter	Nodes	Cost
0	61	260
1	87	232
2	110	226
3	158	220
4	303	220
5	741	220
6	2510	220
7	5002	220

prune131.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 34.3b

localize14.0ms

Local error

Found 4 expressions with local error:

1.6b	(log (fmod (cosh c) (log1p a)))
39.1b	(fmod (cosh c) (log1p a))
39.1b	(fmod (cosh c) (log1p a))
39.1b	(fmod (cosh c) (log1p a))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

5×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
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:

1.0ms	(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))

series28.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(log (fmod (cosh c) (log1p a)))
2.0ms	(fmod (cosh c) (log1p a))
2.0ms	(fmod (cosh c) (log1p a))
2.0ms	(fmod (cosh c) (log1p a))

simplify195.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	39	275
1	52	240
2	66	240
3	81	240
4	126	240
5	254	240
6	1131	240
7	4993	240
8	5001	240

prune222.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 34.3b

localize19.0ms

Local error

Found 4 expressions with local error:

39.1b	(fmod (cosh c) (log1p a))
39.1b	(fmod (cosh c) (log1p a))
39.1b	(fmod (cosh c) (log1p a))
39.1b	(fmod (cosh c) (log1p a))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

4×	`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

4 → 36

Calls

4 calls:

0.0ms	(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))

series9.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify98.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	21	228
1	26	200
2	31	200
3	38	200
4	58	200
5	117	200
6	567	200
7	1852	200
8	5001	200

prune193.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 34.3b

regimes312.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	31
1	13	31

end0.0ms

sample11.1s

Algorithm

intervals

Results

8.4s	7812×	body	10240	exit
1.2s	2331×	body	1280	valid
404.0ms	1563×	body	640	valid
172.0ms	5251×	body	80	nan
156.0ms	140×	body	2560	valid
146.0ms	2806×	body	80	valid
125.0ms	776×	body	320	valid
44.0ms	377×	body	160	valid
12.0ms	7×	body	5120	valid