Details

sample348.0ms

Algorithm

intervals

Results

264.0ms	257×	body	10240	exit
32.0ms	72×	body	1280	valid
14.0ms	61×	body	640	valid
6.0ms	4×	body	2560	valid
5.0ms	176×	body	80	nan
4.0ms	27×	body	320	valid
3.0ms	78×	body	80	valid
1.0ms	14×	body	160	valid

simplify223.0ms

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	1125	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: 36.3b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

41.1b

(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))

series2.0ms

Counts

1 → 3

Calls

1 calls:

2.0ms

(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	1858	50
8	5001	50

prune35.0ms

Filtered

12 candidates to 9 candidates (75.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	7	5	12
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	7	6	13

Merged error: 36.3b

Counts

13 → 6

localize9.0ms

Local error

Found 3 expressions with local error:

0.6b	(exp (log (fmod (cosh c) (log1p a))))
0.8b	(log (fmod (cosh c) (log1p a)))
41.1b	(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` `add-log-exp`
3×	`expm1-log1p-u` `exp-sum` `add-cbrt-cube` `log1p-expm1-u`
2×	`log-pow` `rem-exp-log`
1×	`rem-log-exp`

Counts

3 → 41

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))

series25.0ms

Counts

3 → 9

Calls

3 calls:

2.0ms	(exp (log (fmod (cosh c) (log1p a))))
21.0ms	(log (fmod (cosh c) (log1p a)))
2.0ms	(fmod (cosh c) (log1p a))

simplify85.0ms

Algorithm

egg-herbie

Counts

50 → 50

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	2497	220
7	5001	220

prune119.0ms

Filtered

50 candidates to 29 candidates (58.0%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	41	9	50
Fresh	1	3	4
Picked	1	0	1
Done	1	0	1
Total	44	12	56

Merged error: 36.3b

Counts

56 → 12

localize13.0ms

Local error

Found 4 expressions with local error:

0.8b	(log (fmod (cosh c) (log1p a)))
41.1b	(fmod (cosh c) (log1p a))
41.1b	(fmod (cosh c) (log1p a))
41.1b	(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))

simplify56.0ms

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	5001	240

prune185.0ms

Filtered

53 candidates to 38 candidates (71.7%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	50	3	53
Fresh	0	11	11
Picked	1	0	1
Done	0	0	0
Total	51	14	65

Merged error: 36.3b

Counts

65 → 14

localize16.0ms

Local error

Found 4 expressions with local error:

41.1b	(fmod (cosh c) (log1p a))
41.1b	(fmod (cosh c) (log1p a))
41.1b	(fmod (cosh c) (log1p a))
41.1b	(fmod (cosh c) (log1p a))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

4×	`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

4 → 36

Calls

4 calls:

1.0ms	(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))

series9.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(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))

simplify100.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	21	228
1	26	200
2	31	200
3	38	200
4	58	200
5	117	200
6	567	200
7	1858	200
8	5001	200

prune156.0ms

Filtered

48 candidates to 36 candidates (75.0%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	48	0	48
Fresh	0	13	13
Picked	0	1	1
Done	0	0	0
Total	48	14	62

Merged error: 36.3b

Counts

62 → 14

regimes303.0ms

Accuracy

0% (0.0b remaining)

Error of 34.3b against oracle of 34.2b and baseline of 34.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	31
1	14	31

end0.0ms

sample10.1s

Algorithm

intervals

Results

7.7s	7720×	body	10240	exit
1.0s	2299×	body	1280	valid
349.0ms	1579×	body	640	valid
156.0ms	5238×	body	80	nan
145.0ms	132×	body	2560	valid
122.0ms	2755×	body	80	valid
105.0ms	800×	body	320	valid
45.0ms	426×	body	160	valid
13.0ms	9×	body	5120	valid