Details

sample283.0ms

Algorithm

intervals

Results

203.0ms	206×	body	10240	exit
34.0ms	79×	body	1280	valid
13.0ms	60×	body	640	valid
8.0ms	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

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: 36.3b

localize6.0ms

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` `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

prune42.0ms

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×	`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))

series24.0ms

Counts

3 → 9

Calls

3 calls:

2.0ms	(exp (log (fmod (cosh c) (log1p a))))
20.0ms	(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

prune138.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 36.2b

localize10.0ms

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` `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:

43.0ms	(pow E (log (fmod (cosh c) (log1p a))))
23.0ms	(log (fmod (cosh c) (log1p a)))
2.0ms	(fmod (cosh c) (log1p a))

simplify198.0ms

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

prune163.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 36.2b

localize12.0ms

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))

rewrite7.0ms

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:

19.0ms	(cbrt (pow (log (fmod (cosh c) (log1p a))) 3))
48.0ms	(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 (66.0ms)

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

prune213.0ms

Pruning

18 alts after pruning (16 fresh and 2 done)

Merged error: 36.2b

regimes399.0ms

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	5
1	12	5
2	12	5

end0.0ms

sample10.1s

Algorithm

intervals

Results

7.7s	7666×	body	10240	exit
1.0s	2281×	body	1280	valid
353.0ms	1614×	body	640	valid
156.0ms	149×	body	2560	valid
148.0ms	5283×	body	80	nan
115.0ms	2792×	body	80	valid
94.0ms	730×	body	320	valid
39.0ms	424×	body	160	valid
17.0ms	10×	body	5120	valid