Details

sample384.0ms

Algorithm

intervals

Results

296.0ms	277×	body	10240	exit
31.0ms	60×	body	1280	valid
13.0ms	53×	body	640	valid
6.0ms	4×	body	2560	valid
6.0ms	201×	body	80	nan
5.0ms	32×	body	320	valid
5.0ms	89×	body	80	valid
2.0ms	18×	body	160	valid

simplify219.0ms

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: 33.9b

localize6.0ms

Local error

Found 1 expressions with local error:

38.2b

(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))

series3.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

(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

prune39.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 33.9b

localize12.0ms

Local error

Found 3 expressions with local error:

0.6b	(exp (log (fmod (cosh c) (log1p a))))
1.5b	(log (fmod (cosh c) (log1p a)))
38.2b	(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))

series25.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify84.0ms

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

prune137.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 33.9b

localize10.0ms

Local error

Found 3 expressions with local error:

0.8b	(pow E (log (fmod (cosh c) (log1p a))))
1.5b	(log (fmod (cosh c) (log1p a)))
38.2b	(fmod (cosh c) (log1p a))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `log-prod`
5×	`add-exp-log`
4×	`pow-unpow`
3×	`unpow-prod-up` `expm1-log1p-u` `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:

2.0ms	(pow E (log (fmod (cosh c) (log1p a))))
1.0ms	(log (fmod (cosh c) (log1p a)))
0.0ms	(fmod (cosh c) (log1p a))

series69.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(pow E (log (fmod (cosh c) (log1p a))))
19.0ms	(log (fmod (cosh c) (log1p a)))
2.0ms	(fmod (cosh c) (log1p a))

simplify195.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 3 (34.0ms)

Iter	Nodes	Cost
0	108	348
1	291	299
2	977	295
3	4952	281
4	5001	281

prune152.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 33.9b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (pow (log (fmod (cosh c) (log1p a))) 3))
0.8b	(pow E (cbrt (pow (log (fmod (cosh c) (log1p a))) 3)))
1.5b	(log (fmod (cosh c) (log1p a)))
38.2b	(fmod (cosh c) (log1p a))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-prod`
17×	`pow-unpow`
13×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
11×	`unpow-prod-down`
10×	`pow1`
8×	`cube-prod`
6×	`add-exp-log`
5×	`log-pow`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`log-prod` `sqr-pow`
2×	`cube-mult` `unpow3` `pow-exp`
1×	`pow-to-exp` `e-exp-1` `pow-pow` `pow1/3` `rem-log-exp` `rem-cbrt-cube`

Counts

4 → 82

Calls

4 calls:

2.0ms	(cbrt (pow (log (fmod (cosh c) (log1p a))) 3))
3.0ms	(pow E (cbrt (pow (log (fmod (cosh c) (log1p a))) 3)))
1.0ms	(log (fmod (cosh c) (log1p a)))
0.0ms	(fmod (cosh c) (log1p a))

series89.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(cbrt (pow (log (fmod (cosh c) (log1p a))) 3))
44.0ms	(pow E (cbrt (pow (log (fmod (cosh c) (log1p a))) 3)))
20.0ms	(log (fmod (cosh c) (log1p a)))
2.0ms	(fmod (cosh c) (log1p a))

simplify73.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 3 (67.0ms)

Iter	Nodes	Cost
0	181	617
1	544	555
2	2604	555
3	5001	543

prune214.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 33.9b

regimes355.0ms

Accuracy

0% (0.0b remaining)

Error of 34.4b against oracle of 34.3b and baseline of 34.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	5
1	12	5
2	12	5

end0.0ms

sample11.1s

Algorithm

intervals

Results

8.4s	7806×	body	10240	exit
1.2s	2334×	body	1280	valid
405.0ms	1585×	body	640	valid
164.0ms	143×	body	2560	valid
157.0ms	5365×	body	80	nan
148.0ms	2740×	body	80	valid
121.0ms	771×	body	320	valid
50.0ms	422×	body	160	valid
10.0ms	5×	body	5120	valid