Details

sample389.0ms

Algorithm

intervals

Results

293.0ms	265×	body	10240	exit
37.0ms	74×	body	1280	valid
11.0ms	166×	body	80	nan
11.0ms	43×	body	640	valid
7.0ms	96×	body	80	valid
6.0ms	5×	body	2560	valid
4.0ms	28×	body	320	valid
1.0ms	10×	body	160	valid

simplify220.0ms

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: 32.8b

localize6.0ms

Local error

Found 1 expressions with local error:

37.3b

(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))

series6.0ms

Counts

1 → 3

Calls

1 calls:

6.0ms

(fmod (cosh c) (log1p a))

simplify100.0ms

Algorithm

egg-herbie

Counts

10 → 10

Iterations

Useful iterations: 1 (3.0ms)

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

prune33.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 32.8b

localize9.0ms

Local error

Found 3 expressions with local error:

0.5b	(log (fmod (cosh c) (log1p a)))
0.6b	(exp (log (fmod (cosh c) (log1p a))))
37.3b	(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	(log (fmod (cosh c) (log1p a)))
2.0ms	(exp (log (fmod (cosh c) (log1p a))))
0.0ms	(fmod (cosh c) (log1p a))

series24.0ms

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))

simplify86.0ms

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

11 alts after pruning (10 fresh and 1 done)

Merged error: 32.8b

localize10.0ms

Local error

Found 3 expressions with local error:

0.5b	(log (fmod (cosh c) (log1p a)))
0.7b	(pow E (log (fmod (cosh c) (log1p a))))
37.3b	(fmod (cosh c) (log1p a))

rewrite3.0ms

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)))
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))

simplify191.0ms

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

prune133.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 32.8b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(log (cbrt (fmod (cosh c) (log1p a))))
0.7b	(pow E (+ (* 2 (log (cbrt (fmod (cosh c) (log1p a))))) (log (cbrt (fmod (cosh c) (log1p a))))))
37.3b	(fmod (cosh c) (log1p a))
37.3b	(fmod (cosh c) (log1p a))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-un-lft-identity`
8×	`add-sqr-sqrt` `add-cube-cbrt`
7×	`pow1`
6×	`add-exp-log` `pow-unpow` `log-prod`
4×	`add-cbrt-cube` `add-log-exp`
3×	`cbrt-prod` `unpow-prod-down` `log-pow`
2×	`distribute-rgt-out` `pow-exp`
1×	`unpow-prod-up` `pow-to-exp` `e-exp-1` `pow-pow` `distribute-lft1-in` `pow1/3` `rem-log-exp` `sqr-pow`

Counts

4 → 52

Calls

4 calls:

1.0ms	(log (cbrt (fmod (cosh c) (log1p a))))
5.0ms	(pow E (+ (* 2 (log (cbrt (fmod (cosh c) (log1p a))))) (log (cbrt (fmod (cosh c) (log1p a))))))
0.0ms	(fmod (cosh c) (log1p a))
0.0ms	(fmod (cosh c) (log1p a))

series166.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(log (cbrt (fmod (cosh c) (log1p a))))
103.0ms	(pow E (+ (* 2 (log (cbrt (fmod (cosh c) (log1p a))))) (log (cbrt (fmod (cosh c) (log1p a))))))
2.0ms	(fmod (cosh c) (log1p a))
2.0ms	(fmod (cosh c) (log1p a))

simplify65.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 3 (60.0ms)

Iter	Nodes	Cost
0	141	571
1	427	499
2	1750	458
3	5001	369

prune195.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 32.8b

regimes350.0ms

Accuracy

0% (0.0b remaining)

Error of 34.5b against oracle of 34.5b and baseline of 34.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	5
1	14	5

end0.0ms

sample11.2s

Algorithm

intervals

Results

8.4s	7867×	body	10240	exit
1.1s	2308×	body	1280	valid
400.0ms	1609×	body	640	valid
249.0ms	5256×	body	80	nan
198.0ms	2720×	body	80	valid
148.0ms	135×	body	2560	valid
129.0ms	812×	body	320	valid
56.0ms	410×	body	160	valid
12.0ms	6×	body	5120	valid