Details

sample338.0ms

Algorithm

intervals

Results

257.0ms	251×	body	10240	exit
30.0ms	67×	body	1280	valid
10.0ms	49×	body	640	valid
6.0ms	6×	body	2560	valid
5.0ms	175×	body	80	nan
4.0ms	31×	body	320	valid
3.0ms	89×	body	80	valid
1.0ms	14×	body	160	valid

simplify217.0ms

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.8b

localize6.0ms

Local error

Found 1 expressions with local error:

38.4b

(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))

simplify96.0ms

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

prune34.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 33.8b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (sqrt (fmod (cosh c) (log1p a))) (sqrt (fmod (cosh c) (log1p a))))
38.4b	(fmod (cosh c) (log1p a))
38.4b	(fmod (cosh c) (log1p a))

rewrite15.0ms

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×	`pow-prod-down` `pow-sqr` `add-log-exp`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

3 → 63

Calls

3 calls:

12.0ms	(* (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))

simplify101.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 3 (96.0ms)

Iter	Nodes	Cost
0	96	405
1	366	348
2	2218	328
3	5001	310

prune136.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 33.8b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow (cbrt (sqrt (fmod (cosh c) (log1p a)))) 4)
38.4b	(fmod (cosh c) (log1p a))
38.4b	(fmod (cosh c) (log1p a))
38.4b	(fmod (cosh c) (log1p a))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

9×	`unpow-prod-down`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-prod`
5×	`pow1` `add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `sqrt-prod`
2×	`pow-pow`
1×	`pow-to-exp` `pow1/3` `pow-exp` `sqr-pow`

Counts

4 → 45

Calls

4 calls:

4.0ms	(pow (cbrt (sqrt (fmod (cosh c) (log1p a)))) 4)
0.0ms	(fmod (cosh c) (log1p a))
0.0ms	(fmod (cosh c) (log1p a))
0.0ms	(fmod (cosh c) (log1p a))

series62.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(pow (cbrt (sqrt (fmod (cosh c) (log1p a)))) 4)
2.0ms	(fmod (cosh c) (log1p a))
5.0ms	(fmod (cosh c) (log1p a))
2.0ms	(fmod (cosh c) (log1p a))

simplify52.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 3 (47.0ms)

Iter	Nodes	Cost
0	119	388
1	334	361
2	1160	355
3	5001	352

prune208.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 33.8b

localize20.0ms

Local error

Found 4 expressions with local error:

38.4b	(fmod (cosh c) (log1p a))
38.4b	(fmod (cosh c) (log1p a))
38.4b	(fmod (cosh c) (log1p a))
38.4b	(fmod (cosh c) (log1p a))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 28

Calls

4 calls:

0.0ms	(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))

series8.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(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))

simplify97.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	19	196
1	24	168
2	29	168
3	36	168
4	56	168
5	115	168
6	564	168
7	1838	168
8	5001	168

prune160.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 33.8b

regimes278.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	27
1	15	27

end0.0ms

sample10.3s

Algorithm

intervals

Results

7.8s	7718×	body	10240	exit
1.0s	2281×	body	1280	valid
323.0ms	1530×	body	640	valid
175.0ms	169×	body	2560	valid
137.0ms	5155×	body	80	nan
110.0ms	2814×	body	80	valid
105.0ms	803×	body	320	valid
39.0ms	395×	body	160	valid
13.0ms	8×	body	5120	valid