Details

sample369.0ms

Algorithm

intervals

Results

284.0ms	275×	body	10240	exit
33.0ms	74×	body	1280	valid
10.0ms	48×	body	640	valid
9.0ms	9×	body	2560	valid
5.0ms	174×	body	80	nan
4.0ms	89×	body	80	valid
3.0ms	25×	body	320	valid
1.0ms	11×	body	160	valid

simplify221.0ms

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	44	3
7	69	3
8	169	3
9	1127	3
10	5002	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: 34.1b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

38.9b

(fmod (cosh c) (log1p a))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

1 → 9

Calls

1 calls:

1.0ms

(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

12 → 12

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	21	57
1	26	50
2	31	50
3	38	50
4	58	50
5	117	50
6	567	50
7	1852	50
8	5001	50

prune41.0ms

Filtered

12 candidates to 9 candidates (75.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	8	4	12
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	8	5	13

Merged error: 34.1b

Counts

13 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

0.5b	(exp (log (fmod (cosh c) (log1p a))))
0.8b	(log (fmod (cosh c) (log1p a)))
38.9b	(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×	`expm1-log1p-u` `exp-sum` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`log-pow`
1×	`rem-log-exp` `rem-exp-log`

Counts

3 → 40

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))

series24.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify86.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 3 (7.0ms)

Iter	Nodes	Cost
0	61	260
1	87	232
2	110	226
3	158	220
4	303	220
5	741	220
6	2510	220
7	5002	220

prune135.0ms

Filtered

49 candidates to 30 candidates (61.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	42	7	49
Fresh	3	0	3
Picked	1	0	1
Done	0	1	1
Total	46	8	54

Merged error: 34.1b

Counts

54 → 8

localize10.0ms

Local error

Found 3 expressions with local error:

0.7b	(pow E (log (fmod (cosh c) (log1p a))))
0.8b	(log (fmod (cosh c) (log1p a)))
38.9b	(fmod (cosh c) (log1p a))

rewrite6.0ms

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` `expm1-log1p-u` `unpow-prod-down` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-exp` `log-pow`
1×	`pow-to-exp` `e-exp-1` `pow-pow` `rem-log-exp` `sqr-pow`

Counts

3 → 47

Calls

3 calls:

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

series69.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(pow E (log (fmod (cosh c) (log1p a))))
23.0ms	(log (fmod (cosh c) (log1p a)))
2.0ms	(fmod (cosh c) (log1p a))

simplify203.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 3 (35.0ms)

Iter	Nodes	Cost
0	108	348
1	291	299
2	977	295
3	4952	281
4	5001	281

prune164.0ms

Filtered

56 candidates to 34 candidates (60.7%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	49	7	56
Fresh	3	3	6
Picked	0	1	1
Done	0	1	1
Total	52	12	64

Merged error: 34.1b

Counts

64 → 12

localize14.0ms

Local error

Found 4 expressions with local error:

0.8b	(log (fmod (cosh c) (log1p a)))
38.9b	(fmod (cosh c) (log1p a))
38.9b	(fmod (cosh c) (log1p a))
38.9b	(fmod (cosh c) (log1p a))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

5×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`log-prod`
1×	`rem-log-exp` `log-pow`

Counts

4 → 41

Calls

4 calls:

1.0ms	(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))

series26.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(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))

simplify192.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	39	275
1	52	240
2	66	240
3	81	240
4	126	240
5	254	240
6	1131	240
7	4993	240
8	5001	240

prune196.0ms

Filtered

53 candidates to 38 candidates (71.7%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	49	4	53
Fresh	1	8	9
Picked	1	0	1
Done	0	2	2
Total	51	14	65

Merged error: 34.1b

Counts

65 → 14

regimes317.0ms

Accuracy

0% (0.0b remaining)

Error of 34.1b against oracle of 34.0b and baseline of 34.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	3

end0.0ms

sample10.2s

Algorithm

intervals

Results

7.8s	7716×	body	10240	exit
1.0s	2312×	body	1280	valid
335.0ms	1551×	body	640	valid
169.0ms	157×	body	2560	valid
155.0ms	5070×	body	80	nan
124.0ms	2789×	body	80	valid
101.0ms	750×	body	320	valid
46.0ms	429×	body	160	valid
19.0ms	12×	body	5120	valid