Details

sample288.0ms

Algorithm

intervals

Results

206.0ms	206×	body	10240	exit
34.0ms	79×	body	1280	valid
14.0ms	60×	body	640	valid
7.0ms	163×	body	80	nan
3.0ms	78×	body	80	valid
3.0ms	24×	body	320	valid
2.0ms	13×	body	160	valid
1.0ms	2×	body	2560	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: 36.3b

localize7.0ms

Local error

Found 1 expressions with local error:

41.3b

(fmod (cosh c) (log1p a))

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 7

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

10 → 10

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	19	49
1	24	42
2	29	42
3	36	42
4	56	42
5	115	42
6	564	42
7	1838	42
8	5001	42

prune37.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 36.2b

localize9.0ms

Local error

Found 3 expressions with local error:

0.5b	(exp (log (fmod (cosh c) (log1p a))))
1.5b	(log (fmod (cosh c) (log1p a)))
41.3b	(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×	`exp-sum` `add-cbrt-cube` `add-log-exp`
2×	`log-pow`
1×	`rem-log-exp` `rem-exp-log`

Counts

3 → 34

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))))
20.0ms	(log (fmod (cosh c) (log1p a)))
3.0ms	(fmod (cosh c) (log1p a))

simplify82.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 3 (6.0ms)

Iter	Nodes	Cost
0	55	234
1	81	206
2	103	200
3	150	194
4	295	194
5	724	194
6	2472	194
7	5001	194

prune121.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 36.2b

localize11.0ms

Local error

Found 3 expressions with local error:

0.6b	(pow E (log (fmod (cosh c) (log1p a))))
1.5b	(log (fmod (cosh c) (log1p a)))
41.3b	(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` `unpow-prod-down` `add-cbrt-cube` `add-log-exp`
2×	`pow-exp` `log-pow`
1×	`pow-to-exp` `e-exp-1` `pow-pow` `rem-log-exp` `sqr-pow`

Counts

3 → 41

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))

series68.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(pow E (log (fmod (cosh c) (log1p a))))
20.0ms	(log (fmod (cosh c) (log1p a)))
2.0ms	(fmod (cosh c) (log1p a))

simplify193.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 3 (33.0ms)

Iter	Nodes	Cost
0	102	318
1	285	273
2	967	269
3	4847	255
4	5002	255

prune141.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 36.2b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (pow (log (fmod (cosh c) (log1p a))) 3))
0.6b	(pow E (cbrt (pow (log (fmod (cosh c) (log1p a))) 3)))
1.5b	(log (fmod (cosh c) (log1p a)))
41.3b	(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×	`add-cbrt-cube` `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 → 74

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:

20.0ms	(cbrt (pow (log (fmod (cosh c) (log1p a))) 3))
47.0ms	(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))

simplify71.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 3 (65.0ms)

Iter	Nodes	Cost
0	173	573
1	536	519
2	2562	519
3	5001	507

prune190.0ms

Pruning

17 alts after pruning (15 fresh and 2 done)

Merged error: 36.2b

regimes396.0ms

Accuracy

0% (0.0b remaining)

Error of 34.1b against oracle of 34.0b and baseline of 34.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	3
1	12	3
2	12	3

end0.0ms

sample10.3s

Algorithm

intervals

Results

7.9s	7666×	body	10240	exit
1.0s	2281×	body	1280	valid
359.0ms	1614×	body	640	valid
160.0ms	5283×	body	80	nan
158.0ms	149×	body	2560	valid
120.0ms	2792×	body	80	valid
101.0ms	730×	body	320	valid
41.0ms	424×	body	160	valid
17.0ms	10×	body	5120	valid