Details

sample370.0ms

Algorithm

intervals

Results

276.0ms	274×	body	10240	exit
39.0ms	89×	body	1280	valid
9.0ms	41×	body	640	valid
8.0ms	7×	body	2560	valid
5.0ms	196×	body	80	nan
4.0ms	84×	body	80	valid
3.0ms	23×	body	320	valid
1.0ms	12×	body	160	valid

simplify216.0ms

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	43	3
7	64	3
8	154	3
9	1044	3
10	5001	3

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 35.1b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(cosh c)
39.8b	(fmod (cosh c) (log1p a))

rewrite2.0ms

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`
1×	`cosh-def`

Counts

2 → 15

Calls

2 calls:

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

series48.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(cosh c)
2.0ms	(fmod (cosh c) (log1p a))

simplify133.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 3 (21.0ms)

Iter	Nodes	Cost
0	76	89
1	159	79
2	542	71
3	3481	69
4	5001	69

prune71.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 35.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(cosh c)
0.5b	(exp (log (fmod (cosh c) (log1p a))))
1.2b	(log (fmod (cosh c) (log1p a)))
39.8b	(fmod (cosh c) (log1p a))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 42

Calls

4 calls:

2.0ms	(cosh c)
3.0ms	(exp (log (fmod (cosh c) (log1p a))))
1.0ms	(log (fmod (cosh c) (log1p a)))
0.0ms	(fmod (cosh c) (log1p a))

series67.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(cosh c)
2.0ms	(exp (log (fmod (cosh c) (log1p a))))
19.0ms	(log (fmod (cosh c) (log1p a)))
2.0ms	(fmod (cosh c) (log1p a))

simplify144.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 3 (23.0ms)

Iter	Nodes	Cost
0	109	274
1	219	243
2	647	229
3	3968	221
4	5001	221

prune168.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 35.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(cosh c)
0.7b	(pow E (log (fmod (cosh c) (log1p a))))
1.2b	(log (fmod (cosh c) (log1p a)))
39.8b	(fmod (cosh c) (log1p a))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 49

Calls

4 calls:

4.0ms	(cosh c)
4.0ms	(pow E (log (fmod (cosh c) (log1p a))))
1.0ms	(log (fmod (cosh c) (log1p a)))
0.0ms	(fmod (cosh c) (log1p a))

series104.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(cosh c)
41.0ms	(pow E (log (fmod (cosh c) (log1p a))))
19.0ms	(log (fmod (cosh c) (log1p a)))
2.0ms	(fmod (cosh c) (log1p a))

simplify59.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 2 (13.0ms)

Iter	Nodes	Cost
0	155	364
1	485	333
2	1828	322
3	5001	322

prune224.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 35.0b

localize16.0ms

Local error

Found 4 expressions with local error:

1.2b	(log (fmod (cosh c) (log1p a)))
39.8b	(fmod (cosh c) (log1p a))
39.8b	(fmod (cosh c) (log1p a))
39.8b	(fmod (cosh c) (log1p a))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 33

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))

series25.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(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))

simplify187.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	35	241
1	48	206
2	62	206
3	76	206
4	120	206
5	247	206
6	1104	206
7	4889	206
8	5001	206

prune163.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 35.0b

regimes459.0ms

Accuracy

0% (0.1b remaining)

Error of 34.7b against oracle of 34.6b and baseline of 34.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	31
1	14	31

end0.0ms

sample10.4s

Algorithm

intervals

Results

7.8s	7780×	body	10240	exit
1.0s	2353×	body	1280	valid
354.0ms	1621×	body	640	valid
163.0ms	154×	body	2560	valid
143.0ms	5284×	body	80	nan
106.0ms	2692×	body	80	valid
94.0ms	759×	body	320	valid
38.0ms	413×	body	160	valid
13.0ms	8×	body	5120	valid