Details

sample364.0ms

Algorithm

intervals

Results

269.0ms	251×	body	10240	exit
36.0ms	72×	body	1280	valid
14.0ms	57×	body	640	valid
9.0ms	160×	body	80	nan
7.0ms	5×	body	2560	valid
5.0ms	90×	body	80	valid
4.0ms	22×	body	320	valid
1.0ms	10×	body	160	valid

simplify216.0ms

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

prune3.0ms

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))

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))

series3.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

(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

prune36.0ms

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×	`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	(exp (log (fmod (cosh c) (log1p a))))
1.0ms	(log (fmod (cosh c) (log1p a)))
0.0ms	(fmod (cosh c) (log1p a))

series26.0ms

Counts

3 → 9

Calls

3 calls:

2.0ms	(exp (log (fmod (cosh c) (log1p a))))
22.0ms	(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

prune124.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 34.0b

localize12.0ms

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))

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))

series65.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(log (fmod (cosh c) (log1p a)))
43.0ms	(pow E (log (fmod (cosh c) (log1p a))))
2.0ms	(fmod (cosh c) (log1p a))

simplify194.0ms

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

prune143.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 34.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (pow (fmod (cosh c) (log1p a)) 1/2) (pow (fmod (cosh c) (log1p a)) 1/2))
38.9b	(fmod (cosh c) (log1p a))
38.9b	(fmod (cosh c) (log1p a))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
18×	`unpow-prod-down`
15×	`add-exp-log`
11×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqr-pow`
9×	`prod-exp` `unswap-sqr`
7×	`swap-sqr` `associate-r` `associate-l`
6×	`pow-to-exp` `pow-exp`
5×	`add-cbrt-cube`
4×	`unpow1/2`
3×	`pow1` `add-log-exp`
1×	`pow2` `sqrt-unprod` `pow-prod-down` `rem-square-sqrt` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod`

Counts

3 → 68

Calls

3 calls:

9.0ms	(* (pow (fmod (cosh c) (log1p a)) 1/2) (pow (fmod (cosh c) (log1p a)) 1/2))
0.0ms	(fmod (cosh c) (log1p a))
0.0ms	(fmod (cosh c) (log1p a))

series7.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(* (pow (fmod (cosh c) (log1p a)) 1/2) (pow (fmod (cosh c) (log1p a)) 1/2))
2.0ms	(fmod (cosh c) (log1p a))
2.0ms	(fmod (cosh c) (log1p a))

simplify216.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	129	586
1	504	451
2	4649	420
3	5002	420

prune152.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 34.0b

regimes313.0ms

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
196.0ms	170×	body	2560	valid
177.0ms	5225×	body	80	nan
152.0ms	2813×	body	80	valid
126.0ms	780×	body	320	valid
45.0ms	380×	body	160	valid
7.0ms	4×	body	5120	valid