Details

sample1.0s

Algorithm

intervals

Results

425.0ms	243×	body	10240	exit
151.0ms	90×	body	2560	valid
62.0ms	83×	body	1280	valid
52.0ms	99×	body	1280	nan
35.0ms	88×	body	640	nan
19.0ms	48×	body	640	valid
14.0ms	313×	body	80	nan
8.0ms	43×	body	320	nan
6.0ms	21×	body	320	valid
2.0ms	12×	body	160	valid
2.0ms	18×	body	160	nan
0.0ms	2×	body	80	valid

simplify47.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	6
1	24	6
2	43	6
3	91	6
4	257	6
5	1268	6
6	5001	6

prune5.0ms

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: 61.4b

Counts

2 → 1

localize12.0ms

Local error

Found 2 expressions with local error:

2.5b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
59.5b	(fmod (cosh a) (* a a))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

1×	`acos-asin`

Counts

2 → 1

Calls

2 calls:

2.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
1.0ms	(fmod (cosh a) (* a a))

series12.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
9.0ms	(fmod (cosh a) (* a a))

simplify78.0ms

Algorithm

egg-herbie

Counts

7 → 7

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	34
1	42	34
2	121	34
3	357	34
4	1821	34
5	5001	34

prune19.0ms

Filtered

7 candidates to 2 candidates (28.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	6	1	7
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	6	2	8

Merged error: 61.4b

Counts

8 → 2

localize12.0ms

Local error

Found 3 expressions with local error:

0.9b	(asin (pow (fmod (cosh a) (* a a)) (log1p a)))
1.4b	(- (/ PI 2) (asin (pow (fmod (cosh a) (* a a)) (log1p a))))
59.5b	(fmod (cosh a) (* a a))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

2×	`asin-acos`
1×	`sub-neg` `flip3--` `flip--` `associate--r-`

Counts

3 → 6

Calls

3 calls:

1.0ms	(asin (pow (fmod (cosh a) (* a a)) (log1p a)))
4.0ms	(- (/ PI 2) (asin (pow (fmod (cosh a) (* a a)) (log1p a))))
1.0ms	(fmod (cosh a) (* a a))

series36.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(asin (pow (fmod (cosh a) (* a a)) (log1p a)))
31.0ms	(- (/ PI 2) (asin (pow (fmod (cosh a) (* a a)) (log1p a))))
2.0ms	(fmod (cosh a) (* a a))

simplify69.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	76	126
1	161	126
2	382	126
3	1333	126
4	5001	126

prune37.0ms

Filtered

15 candidates to 6 candidates (40.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	12	3	15
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	12	5	17

Merged error: 61.4b

Counts

17 → 5

localize17.0ms

Local error

Found 4 expressions with local error:

1.3b	(- (* (/ PI 2) (/ PI 2)) (* (asin (pow (fmod (cosh a) (* a a)) (log1p a))) (asin (pow (fmod (cosh a) (* a a)) (log1p a)))))
59.5b	(fmod (cosh a) (* a a))
59.5b	(fmod (cosh a) (* a a))
59.5b	(fmod (cosh a) (* a a))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

4×	`*-commutative` `difference-of-squares`
1×	`sub-neg` `flip3--` `flip--`

Counts

4 → 8

Calls

4 calls:

9.0ms	(- (* (/ PI 2) (/ PI 2)) (* (asin (pow (fmod (cosh a) (* a a)) (log1p a))) (asin (pow (fmod (cosh a) (* a a)) (log1p a)))))
1.0ms	(fmod (cosh a) (* a a))
1.0ms	(fmod (cosh a) (* a a))
1.0ms	(fmod (cosh a) (* a a))

series81.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(- (* (/ PI 2) (/ PI 2)) (* (asin (pow (fmod (cosh a) (* a a)) (log1p a))) (asin (pow (fmod (cosh a) (* a a)) (log1p a)))))
2.0ms	(fmod (cosh a) (* a a))
2.0ms	(fmod (cosh a) (* a a))
2.0ms	(fmod (cosh a) (* a a))

simplify190.0ms

Algorithm

egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 3 (31.0ms)

Iter	Nodes	Cost
0	100	247
1	327	214
2	1038	209
3	4756	208
4	5001	208

prune71.0ms

Filtered

20 candidates to 8 candidates (40.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	18	2	20
Fresh	0	2	2
Picked	0	1	1
Done	1	1	2
Total	19	6	25

Merged error: 61.4b

Counts

25 → 6

localize46.0ms

Local error

Found 4 expressions with local error:

59.5b	(fmod (cosh a) (* a a))
59.5b	(fmod (cosh a) (* a a))
59.5b	(fmod (cosh a) (pow a 2))
59.5b	(fmod (cosh a) (pow a 2))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

Counts

4 → 0

Calls

4 calls:

1.0ms	(fmod (cosh a) (* a a))
1.0ms	(fmod (cosh a) (* a a))
1.0ms	(fmod (cosh a) (pow a 2))
1.0ms	(fmod (cosh a) (pow a 2))

series7.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(fmod (cosh a) (* a a))
2.0ms	(fmod (cosh a) (* a a))
2.0ms	(fmod (cosh a) (pow a 2))
2.0ms	(fmod (cosh a) (pow a 2))

simplify51.0ms

Algorithm

egg-herbie

Counts

12 → 12

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	36
1	24	36
2	73	36
3	199	36
4	927	36
5	5001	36

prune17.0ms

Filtered

12 candidates to 2 candidates (16.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	12	0	12
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	12	6	18

Merged error: 61.4b

Counts

18 → 6

regimes203.0ms

Accuracy

0% (0.0b remaining)

Error of 61.2b against oracle of 61.2b and baseline of 61.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	51
1	37	51

end0.0ms

sample24.6s

Algorithm

intervals

Results

13.6s	7795×	body	10240	exit
5.0s	3110×	body	2560	valid
1.9s	2540×	body	1280	valid
1.5s	2877×	body	1280	nan
695.0ms	2486×	body	640	nan
503.0ms	1263×	body	640	valid
392.0ms	8711×	body	80	nan
218.0ms	1266×	body	320	nan
179.0ms	652×	body	320	valid
81.0ms	690×	body	160	nan
65.0ms	325×	body	160	valid
19.0ms	9×	body	5120	nan
12.0ms	13×	body	2560	nan
11.0ms	110×	body	80	valid