Details

sample1.0s

Algorithm

intervals

Results

414.0ms	228×	body	10240	exit
168.0ms	100×	body	2560	valid
59.0ms	77×	body	1280	valid
38.0ms	69×	body	1280	nan
23.0ms	239×	body	80	nan
20.0ms	70×	body	640	nan
19.0ms	44×	body	640	valid
7.0ms	38×	body	320	nan
6.0ms	19×	body	320	valid
3.0ms	11×	body	160	valid
2.0ms	1×	body	5120	nan
2.0ms	16×	body	160	nan
1.0ms	5×	body	80	valid

simplify48.0ms

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 (100.0%)

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: 61.0b

Counts

2 → 1

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(pow (fmod (cosh a) (* a a)) (log1p a))
1.7b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
59.4b	(fmod (cosh a) (* a a))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log`
3×	`unpow-prod-down` `pow-unpow` `add-cbrt-cube` `add-log-exp`
1×	`acos-asin` `pow-to-exp` `pow-pow` `pow-exp` `sqr-pow`

Counts

3 → 32

Calls

3 calls:

3.0ms	(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))

series136.0ms

Counts

3 → 9

Calls

3 calls:

125.0ms	(pow (fmod (cosh a) (* a a)) (log1p a))
3.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
8.0ms	(fmod (cosh a) (* a a))

simplify133.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	91	291
1	249	265
2	801	265
3	3813	265
4	5001	265

prune115.0ms

Filtered

41 candidates to 29 candidates (29.3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	33	8	41
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	34	8	42

Merged error: 59.6b

Counts

42 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))
1.7b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
9.8b	(log (exp (fmod (cosh a) (* a a))))
59.4b	(fmod (cosh a) (* a a))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
8×	`log-pow`
7×	`pow1` `unpow-prod-down`
6×	`add-exp-log` `exp-prod`
4×	`add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `log-prod`
2×	`rem-log-exp`
1×	`acos-asin` `pow-to-exp` `pow-pow` `pow-exp` `sqr-pow`

Counts

4 → 52

Calls

4 calls:

3.0ms	(pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))
1.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
2.0ms	(log (exp (fmod (cosh a) (* a a))))
1.0ms	(fmod (cosh a) (* a a))

series120.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))
3.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
2.0ms	(log (exp (fmod (cosh a) (* a a))))
2.0ms	(fmod (cosh a) (* a a))

simplify185.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 3 (31.0ms)

Iter	Nodes	Cost
0	135	479
1	312	424
2	952	424
3	4618	420
4	5001	420

prune183.0ms

Filtered

64 candidates to 43 candidates (32.8%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	59	5	64
Fresh	1	6	7
Picked	1	0	1
Done	0	0	0
Total	61	11	72

Merged error: 59.6b

Counts

72 → 11

localize16.0ms

Local error

Found 4 expressions with local error:

9.8b	(log (exp (fmod (cosh a) (* a a))))
59.4b	(fmod (cosh a) (* a a))
59.4b	(fmod (cosh a) (* a a))
59.4b	(fmod (cosh a) (* a a))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`pow1` `add-exp-log`
4×	`log-pow` `add-cbrt-cube` `add-log-exp`
3×	`log-prod` `exp-prod`
2×	`rem-log-exp`

Counts

4 → 37

Calls

4 calls:

2.0ms	(log (exp (fmod (cosh a) (* a a))))
1.0ms	(fmod (cosh a) (* a a))
1.0ms	(fmod (cosh a) (* a a))
1.0ms	(fmod (cosh a) (* a a))

series7.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(log (exp (fmod (cosh a) (* a a))))
2.0ms	(fmod (cosh a) (* a a))
2.0ms	(fmod (cosh a) (* a a))
2.0ms	(fmod (cosh a) (* a a))

simplify78.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	52	246
1	75	212
2	157	212
3	405	212
4	1936	212
5	5001	212

prune212.0ms

Filtered

49 candidates to 34 candidates (30.6%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	46	3	49
Fresh	1	9	10
Picked	1	0	1
Done	0	0	0
Total	48	12	60

Merged error: 59.5b

Counts

60 → 12

localize24.0ms

Local error

Found 4 expressions with local error:

9.8b	(log (exp (fmod (cosh a) (* a a))))
59.4b	(fmod (cosh a) (* a a))
59.4b	(fmod (cosh a) (* a a))
59.4b	(fmod (cosh a) (* a a))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`pow1` `add-exp-log`
4×	`log-pow` `add-cbrt-cube` `add-log-exp`
3×	`log-prod` `exp-prod`
2×	`rem-log-exp`

Counts

4 → 37

Calls

4 calls:

2.0ms	(log (exp (fmod (cosh a) (* a a))))
1.0ms	(fmod (cosh a) (* a a))
1.0ms	(fmod (cosh a) (* a a))
1.0ms	(fmod (cosh a) (* a a))

series7.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(log (exp (fmod (cosh a) (* a a))))
2.0ms	(fmod (cosh a) (* a a))
2.0ms	(fmod (cosh a) (* a a))
2.0ms	(fmod (cosh a) (* a a))

simplify79.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	52	246
1	75	212
2	157	212
3	405	212
4	1936	212
5	5001	212

prune208.0ms

Filtered

49 candidates to 34 candidates (30.6%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	47	2	49
Fresh	0	11	11
Picked	0	1	1
Done	0	0	0
Total	47	14	61

Merged error: 59.5b

Counts

61 → 14

regimes303.0ms

Accuracy

0% (0.4b remaining)

Error of 60.2b against oracle of 59.8b and baseline of 60.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	27
1	23	27

end0.0ms

sample25.1s

Algorithm

intervals

Results

14.0s	7981×	body	10240	exit
5.0s	3160×	body	2560	valid
1.8s	2494×	body	1280	valid
1.5s	2851×	body	1280	nan
681.0ms	2446×	body	640	nan
513.0ms	1282×	body	640	valid
401.0ms	8778×	body	80	nan
223.0ms	1274×	body	320	nan
176.0ms	617×	body	320	valid
74.0ms	637×	body	160	nan
67.0ms	325×	body	160	valid
17.0ms	8×	body	5120	nan
13.0ms	122×	body	80	valid
8.0ms	8×	body	2560	nan