Details

sample336.0ms

Algorithm

intervals

Results

249.0ms	237×	body	10240	exit
42.0ms	89×	body	1280	valid
10.0ms	47×	body	640	valid
5.0ms	158×	body	80	nan
4.0ms	84×	body	80	valid
3.0ms	3×	body	2560	valid
3.0ms	21×	body	320	valid
1.0ms	12×	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	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: 35.0b

localize6.0ms

Local error

Found 1 expressions with local error:

39.7b

(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))

simplify103.0ms

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

prune32.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 35.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.6b	(exp (log (fmod (cosh c) (log1p a))))
1.4b	(log (fmod (cosh c) (log1p a)))
39.7b	(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:

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

series28.0ms

Counts

3 → 9

Calls

3 calls:

2.0ms	(exp (log (fmod (cosh c) (log1p a))))
23.0ms	(log (fmod (cosh c) (log1p a)))
2.0ms	(fmod (cosh c) (log1p a))

simplify83.0ms

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

prune118.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 35.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow (log (fmod (cosh c) (log1p a))) 3)
0.6b	(exp (cbrt (pow (log (fmod (cosh c) (log1p a))) 3)))
1.4b	(log (fmod (cosh c) (log1p a)))
39.7b	(fmod (cosh c) (log1p a))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

17×	`exp-prod`
14×	`cbrt-prod`
12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
10×	`pow1`
8×	`unpow-prod-down` `cube-prod`
6×	`add-exp-log`
5×	`log-pow` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `log-prod`
2×	`cube-mult` `unpow3` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `rem-log-exp` `pow-exp` `rem-exp-log` `rem-cube-cbrt`

Counts

4 → 69

Calls

4 calls:

3.0ms	(pow (log (fmod (cosh c) (log1p a))) 3)
4.0ms	(exp (cbrt (pow (log (fmod (cosh c) (log1p a))) 3)))
1.0ms	(log (fmod (cosh c) (log1p a)))
1.0ms	(fmod (cosh c) (log1p a))

series57.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(pow (log (fmod (cosh c) (log1p a))) 3)
2.0ms	(exp (cbrt (pow (log (fmod (cosh c) (log1p a))) 3)))
19.0ms	(log (fmod (cosh c) (log1p a)))
2.0ms	(fmod (cosh c) (log1p a))

simplify130.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (16.0ms)

Iter	Nodes	Cost
0	133	473
1	432	423
2	2928	418
3	5002	418

prune240.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 35.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow (log (fmod (cosh c) (log1p a))) 3)
0.6b	(exp (cbrt (pow (cbrt (pow (log (fmod (cosh c) (log1p a))) 3)) 3)))
1.4b	(log (fmod (cosh c) (log1p a)))
39.7b	(fmod (cosh c) (log1p a))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

68×	`cbrt-prod`
43×	`exp-prod`
29×	`unpow-prod-down` `cube-prod`
18×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`pow1`
7×	`log-pow`
6×	`add-exp-log`
5×	`add-cbrt-cube` `add-log-exp`
4×	`cube-mult` `unpow3` `sqr-pow`
3×	`pow-unpow` `log-prod`
1×	`pow-to-exp` `pow-pow` `rem-log-exp` `pow-exp` `rem-exp-log` `rem-cube-cbrt`

Counts

4 → 95

Calls

4 calls:

3.0ms	(pow (log (fmod (cosh c) (log1p a))) 3)
10.0ms	(exp (cbrt (pow (cbrt (pow (log (fmod (cosh c) (log1p a))) 3)) 3)))
2.0ms	(log (fmod (cosh c) (log1p a)))
1.0ms	(fmod (cosh c) (log1p a))

series60.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(pow (log (fmod (cosh c) (log1p a))) 3)
3.0ms	(exp (cbrt (pow (cbrt (pow (log (fmod (cosh c) (log1p a))) 3)) 3)))
22.0ms	(log (fmod (cosh c) (log1p a)))
2.0ms	(fmod (cosh c) (log1p a))

simplify156.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	232	693
1	580	595
2	3655	582
3	5002	582

prune236.0ms

Pruning

23 alts after pruning (22 fresh and 1 done)

Merged error: 35.0b

regimes517.0ms

Accuracy

0% (0.0b remaining)

Error of 34.4b against oracle of 34.4b and baseline of 34.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	21

end0.0ms

sample10.4s

Algorithm

intervals

Results

7.9s	7797×	body	10240	exit
1.1s	2349×	body	1280	valid
358.0ms	1635×	body	640	valid
171.0ms	152×	body	2560	valid
169.0ms	5291×	body	80	nan
124.0ms	2743×	body	80	valid
96.0ms	729×	body	320	valid
38.0ms	384×	body	160	valid
13.0ms	8×	body	5120	valid