Details

sample385.0ms

Algorithm

intervals

Results

294.0ms	291×	body	10240	exit
35.0ms	74×	body	1280	valid
12.0ms	57×	body	640	valid
11.0ms	9×	body	2560	valid
5.0ms	191×	body	80	nan
4.0ms	83×	body	80	valid
3.0ms	22×	body	320	valid
1.0ms	11×	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: 35.2b

localize6.0ms

Local error

Found 1 expressions with local error:

39.9b

(fmod (cosh c) (log1p a))

rewrite1.0ms

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:

1.0ms

(fmod (cosh c) (log1p a))

series2.0ms

Counts

1 → 3

Calls

1 calls:

2.0ms

(fmod (cosh c) (log1p a))

simplify98.0ms

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

prune32.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 35.2b

localize12.0ms

Local error

Found 3 expressions with local error:

0.3b	(log (fmod (cosh c) (log1p a)))
0.5b	(exp (log (fmod (cosh c) (log1p a))))
39.9b	(fmod (cosh c) (log1p a))

rewrite5.0ms

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	(log (fmod (cosh c) (log1p a)))
2.0ms	(exp (log (fmod (cosh c) (log1p a))))
1.0ms	(fmod (cosh c) (log1p a))

series23.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(log (fmod (cosh c) (log1p a)))
2.0ms	(exp (log (fmod (cosh c) (log1p a))))
2.0ms	(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

prune112.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 35.2b

localize10.0ms

Local error

Found 3 expressions with local error:

0.3b	(log (fmod (cosh c) (log1p a)))
0.6b	(pow E (log (fmod (cosh c) (log1p a))))
39.9b	(fmod (cosh c) (log1p a))

rewrite5.0ms

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:

1.0ms	(log (fmod (cosh c) (log1p a)))
3.0ms	(pow E (log (fmod (cosh c) (log1p a))))
1.0ms	(fmod (cosh c) (log1p a))

series67.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(log (fmod (cosh c) (log1p a)))
42.0ms	(pow E (log (fmod (cosh c) (log1p a))))
2.0ms	(fmod (cosh c) (log1p a))

simplify192.0ms

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	5001	255

prune129.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 35.2b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(pow E (* (* (cbrt (log (fmod (cosh c) (log1p a)))) (cbrt (log (fmod (cosh c) (log1p a))))) (cbrt (log (fmod (cosh c) (log1p a))))))
39.9b	(fmod (cosh c) (log1p a))
39.9b	(fmod (cosh c) (log1p a))
39.9b	(fmod (cosh c) (log1p a))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 37

Calls

4 calls:

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

series53.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(pow E (* (* (cbrt (log (fmod (cosh c) (log1p a)))) (cbrt (log (fmod (cosh c) (log1p a))))) (cbrt (log (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))

simplify76.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 3 (19.0ms)

Iter	Nodes	Cost
0	75	540
1	192	422
2	733	359
3	2816	331
4	5001	331

prune137.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 35.2b

regimes323.0ms

Accuracy

0% (0.0b remaining)

Error of 34.6b against oracle of 34.6b and baseline of 34.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	13
1	15	13
2	15	13

end0.0ms

sample10.5s

Algorithm

intervals

Results

8.0s	7942×	body	10240	exit
1.0s	2252×	body	1280	valid
360.0ms	1640×	body	640	valid
175.0ms	162×	body	2560	valid
162.0ms	5256×	body	80	nan
113.0ms	2698×	body	80	valid
104.0ms	815×	body	320	valid
40.0ms	424×	body	160	valid
15.0ms	9×	body	5120	valid