Details

sample362.0ms

Algorithm

intervals

Results

266.0ms	251×	body	10240	exit
37.0ms	72×	body	1280	valid
15.0ms	57×	body	640	valid
8.0ms	90×	body	80	valid
7.0ms	5×	body	2560	valid
6.0ms	160×	body	80	nan
4.0ms	22×	body	320	valid
1.0ms	10×	body	160	valid

simplify222.0ms

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: 34.0b

localize6.0ms

Local error

Found 1 expressions with local error:

38.9b

(fmod (cosh c) (log1p a))

rewrite1.0ms

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))

simplify99.0ms

Algorithm

egg-herbie

Counts

12 → 12

Iterations

Useful iterations: 1 (3.0ms)

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

prune44.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 34.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.6b	(exp (log (fmod (cosh c) (log1p a))))
0.7b	(log (fmod (cosh c) (log1p a)))
38.9b	(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))))
19.0ms	(log (fmod (cosh c) (log1p a)))
2.0ms	(fmod (cosh c) (log1p a))

simplify86.0ms

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

prune141.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 34.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.7b	(log (fmod (cosh c) (log1p a)))
0.7b	(pow E (log (fmod (cosh c) (log1p a))))
38.9b	(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:

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

series68.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify203.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 3 (35.0ms)

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

prune165.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 34.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (sqrt (fmod (cosh c) (log1p a))) (sqrt (fmod (cosh c) (log1p a))))
38.9b	(fmod (cosh c) (log1p a))
38.9b	(fmod (cosh c) (log1p a))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
18×	`pow1` `sqrt-prod`
11×	`add-cube-cbrt` `*-un-lft-identity`
8×	`sqrt-pow1` `pow1/2` `swap-sqr`
6×	`associate-r` `associate-l`
5×	`add-exp-log` `pow-prod-up` `add-cbrt-cube`
4×	`unswap-sqr`
3×	`expm1-log1p-u` `pow-prod-down` `pow-sqr` `log1p-expm1-u` `add-log-exp`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

3 → 69

Calls

3 calls:

7.0ms	(* (sqrt (fmod (cosh c) (log1p a))) (sqrt (fmod (cosh c) (log1p a))))
0.0ms	(fmod (cosh c) (log1p a))
0.0ms	(fmod (cosh c) (log1p a))

series7.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify104.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 3 (99.0ms)

Iter	Nodes	Cost
0	100	429
1	376	372
2	2253	352
3	5001	334

prune147.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 34.0b

regimes315.0ms

Accuracy

0% (0.0b remaining)

Error of 34.0b against oracle of 33.9b and baseline of 34.0b

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	7771×	body	10240	exit
1.1s	2300×	body	1280	valid
401.0ms	1553×	body	640	valid
197.0ms	170×	body	2560	valid
177.0ms	5225×	body	80	nan
149.0ms	2813×	body	80	valid
123.0ms	780×	body	320	valid
44.0ms	380×	body	160	valid
7.0ms	4×	body	5120	valid