Details

sample1.0s

Algorithm

intervals

Results

426.0ms	243×	body	10240	exit
161.0ms	90×	body	2560	valid
62.0ms	83×	body	1280	valid
51.0ms	99×	body	1280	nan
24.0ms	88×	body	640	nan
19.0ms	48×	body	640	valid
14.0ms	313×	body	80	nan
7.0ms	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

simplify49.0ms

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:

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

series13.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
10.0ms	(fmod (cosh a) (* a a))

simplify76.0ms

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	359	34
4	1849	34
5	5002	34

prune20.0ms

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--` `fma-neg` `flip--` `div-inv` `associate--r-`

Counts

3 → 7

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))

simplify66.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 4 (63.0ms)

Iter	Nodes	Cost
0	80	133
1	174	132
2	417	132
3	1403	132
4	5001	129

prune49.0ms

Filtered

16 candidates to 8 candidates (50.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	13	3	16
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	13	5	18

Merged error: 61.4b

Counts

18 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 1/2 PI) (acos (pow (fmod (cosh a) (* a a)) (log1p a))))
1.4b	(- (/ PI 2) (- (* 1/2 PI) (acos (pow (fmod (cosh a) (* a a)) (log1p a)))))
2.5b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
59.5b	(fmod (cosh a) (* a a))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

6×	`frac-sub`
5×	`flip3--` `flip--`
3×	`acos-asin` `sub-neg` `fma-neg` `associate--r+` `associate--r-`
2×	`frac-2neg` `clear-num`
1×	`*-commutative` `div-inv`

Counts

4 → 23

Calls

4 calls:

4.0ms	(- (* 1/2 PI) (acos (pow (fmod (cosh a) (* a a)) (log1p a))))
7.0ms	(- (/ PI 2) (- (* 1/2 PI) (acos (pow (fmod (cosh a) (* a a)) (log1p a)))))
1.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
1.0ms	(fmod (cosh a) (* a a))

series43.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(- (* 1/2 PI) (acos (pow (fmod (cosh a) (* a a)) (log1p a))))
5.0ms	(- (/ PI 2) (- (* 1/2 PI) (acos (pow (fmod (cosh a) (* a a)) (log1p a)))))
3.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
2.0ms	(fmod (cosh a) (* a a))

simplify40.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	278	548
1	1216	508
2	5001	484

prune149.0ms

Filtered

35 candidates to 22 candidates (62.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	29	6	35
Fresh	1	1	2
Picked	1	0	1
Done	1	1	2
Total	32	8	40

Merged error: 59.5b

Counts

40 → 8

localize42.0ms

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	201	36
4	948	36
5	5001	36

prune17.0ms

Filtered

12 candidates to 2 candidates (16.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	12	0	12
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	12	8	20

Merged error: 59.5b

Counts

20 → 8

regimes238.0ms

Accuracy

0% (0.0b remaining)

Error of 59.3b against oracle of 59.3b and baseline of 59.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	48
1	40	48
2	41	48
3	41	48

end0.0ms

sample24.6s

Algorithm

intervals

Results

13.6s	7795×	body	10240	exit
4.9s	3110×	body	2560	valid
1.9s	2540×	body	1280	valid
1.5s	2877×	body	1280	nan
684.0ms	2486×	body	640	nan
513.0ms	1263×	body	640	valid
392.0ms	8711×	body	80	nan
213.0ms	1266×	body	320	nan
186.0ms	652×	body	320	valid
79.0ms	690×	body	160	nan
69.0ms	325×	body	160	valid
19.0ms	9×	body	5120	nan
12.0ms	13×	body	2560	nan
11.0ms	110×	body	80	valid