Details

sample352.0ms

Algorithm

intervals

Results

261.0ms	251×	body	10240	exit
34.0ms	72×	body	1280	valid
11.0ms	9×	body	2560	valid
10.0ms	47×	body	640	valid
6.0ms	192×	body	80	nan
4.0ms	88×	body	80	valid
3.0ms	2×	body	5120	valid
3.0ms	24×	body	320	valid
1.0ms	14×	body	160	valid

simplify213.0ms

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

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 34.6b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

39.2b

(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))

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

prune32.0ms

Filtered

10 candidates to 7 candidates (70.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	5	5	10
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	5	6	11

Merged error: 34.5b

Counts

11 → 6

localize9.0ms

Local error

Found 3 expressions with local error:

0.6b	(exp (log (fmod (cosh c) (log1p a))))
1.0b	(log (fmod (cosh c) (log1p a)))
39.2b	(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))))
20.0ms	(log (fmod (cosh c) (log1p a)))
5.0ms	(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

prune106.0ms

Filtered

43 candidates to 23 candidates (53.5%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	35	8	43
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	37	12	49

Merged error: 34.5b

Counts

49 → 12

localize10.0ms

Local error

Found 3 expressions with local error:

0.7b	(pow E (log (fmod (cosh c) (log1p a))))
1.0b	(log (fmod (cosh c) (log1p a)))
39.2b	(fmod (cosh c) (log1p a))

rewrite7.0ms

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:

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

series62.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(pow E (log (fmod (cosh c) (log1p a))))
19.0ms	(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	5002	255

prune122.0ms

Filtered

50 candidates to 26 candidates (52.0%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	42	8	50
Fresh	7	3	10
Picked	0	1	1
Done	1	0	1
Total	50	12	62

Merged error: 34.5b

Counts

62 → 12

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow (log (fmod (cosh c) (log1p a))) 3)
0.7b	(pow E (cbrt (pow (log (fmod (cosh c) (log1p a))) 3)))
1.0b	(log (fmod (cosh c) (log1p a)))
39.2b	(fmod (cosh c) (log1p a))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow-unpow`
14×	`cbrt-prod`
13×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
11×	`pow1` `unpow-prod-down`
8×	`cube-prod`
7×	`add-exp-log`
5×	`log-pow` `add-cbrt-cube`
4×	`add-log-exp`
3×	`log-prod` `pow-exp` `sqr-pow`
2×	`cube-mult` `pow-to-exp` `pow-pow` `unpow3`
1×	`e-exp-1` `rem-log-exp` `rem-cube-cbrt`

Counts

4 → 76

Calls

4 calls:

2.0ms	(pow (log (fmod (cosh c) (log1p a))) 3)
4.0ms	(pow E (cbrt (pow (log (fmod (cosh c) (log1p a))) 3)))
1.0ms	(log (fmod (cosh c) (log1p a)))
1.0ms	(fmod (cosh c) (log1p a))

series99.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(pow (log (fmod (cosh c) (log1p a))) 3)
42.0ms	(pow E (cbrt (pow (log (fmod (cosh c) (log1p a))) 3)))
22.0ms	(log (fmod (cosh c) (log1p a)))
2.0ms	(fmod (cosh c) (log1p a))

simplify36.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	193	573
1	687	494
2	5001	487

prune177.0ms

Filtered

88 candidates to 47 candidates (53.4%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	77	11	88
Fresh	0	10	10
Picked	1	0	1
Done	1	0	1
Total	79	21	100

Merged error: 34.5b

Counts

100 → 21

regimes450.0ms

Accuracy

0% (0.0b remaining)

Error of 34.2b against oracle of 34.2b and baseline of 34.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	19
1	19	19
2	19	19

end0.0ms

sample10.5s

Algorithm

intervals

Results

8.1s	8004×	body	10240	exit
1.0s	2295×	body	1280	valid
346.0ms	1573×	body	640	valid
159.0ms	5218×	body	80	nan
147.0ms	133×	body	2560	valid
123.0ms	2766×	body	80	valid
109.0ms	825×	body	320	valid
43.0ms	404×	body	160	valid
6.0ms	4×	body	5120	valid