Details

sample1.1s

Algorithm

intervals

Results

481.0ms	260×	body	10240	exit
169.0ms	99×	body	2560	valid
68.0ms	90×	body	1280	valid
42.0ms	79×	body	1280	nan
22.0ms	77×	body	640	nan
15.0ms	324×	body	80	nan
15.0ms	36×	body	640	valid
9.0ms	48×	body	320	nan
8.0ms	24×	body	320	valid
2.0ms	17×	body	160	nan
1.0ms	5×	body	160	valid
0.0ms	2×	body	80	valid

simplify51.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	16	6
1	24	6
2	43	6
3	91	6
4	257	6
5	1277	6
6	5002	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: 62.0b

Counts

2 → 1

localize11.0ms

Local error

Found 2 expressions with local error:

1.9b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
60.3b	(fmod (cosh a) (* a a))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

2×	`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`
1×	`acos-asin`

Counts

2 → 19

Calls

2 calls:

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

series21.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
18.0ms	(fmod (cosh a) (* a a))

simplify84.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	48	166
1	76	146
2	160	146
3	411	146
4	2000	146
5	5001	146

prune85.0ms

Filtered

25 candidates to 20 candidates (80.0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	20	5	25
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	21	5	26

Merged error: 60.6b

Counts

26 → 5

localize12.0ms

Local error

Found 3 expressions with local error:

1.9b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
9.4b	(log (exp (fmod (cosh a) (* a a))))
60.3b	(fmod (cosh a) (* a a))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 36

Calls

3 calls:

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

series7.0ms

Counts

3 → 9

Calls

3 calls:

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))

simplify110.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	79	299
1	113	260
2	227	260
3	599	260
4	2974	260
5	5001	260

prune136.0ms

Filtered

45 candidates to 35 candidates (77.8%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	44	1	45
Fresh	0	4	4
Picked	1	0	1
Done	0	0	0
Total	45	5	50

Merged error: 60.6b

Counts

50 → 5

localize17.0ms

Local error

Found 4 expressions with local error:

9.4b	(log (exp (fmod (cosh a) (* a a))))
60.3b	(fmod (cosh a) (* a a))
60.3b	(fmod (cosh a) (* a a))
60.3b	(fmod (cosh a) (* a a))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 44

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))

simplify84.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	56	278
1	79	244
2	161	244
3	412	244
4	1977	244
5	5001	244

prune242.0ms

Filtered

56 candidates to 42 candidates (75.0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	55	1	56
Fresh	0	4	4
Picked	1	0	1
Done	0	0	0
Total	56	5	61

Merged error: 60.6b

Counts

61 → 5

localize24.0ms

Local error

Found 4 expressions with local error:

60.3b	(fmod (cosh a) (* a a))
60.3b	(fmod (cosh a) (* a a))
60.3b	(fmod (cosh a) (* a a))
60.3b	(fmod (cosh a) (* a a))

rewrite3.0ms

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 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	(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))

simplify61.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	25	228
1	42	200
2	94	200
3	232	200
4	1067	200
5	5001	200

prune280.0ms

Filtered

48 candidates to 40 candidates (83.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	48	0	48
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	48	5	53

Merged error: 60.6b

Counts

53 → 5

regimes162.0ms

Accuracy

0% (0.4b remaining)

Error of 60.3b against oracle of 59.9b and baseline of 60.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	37
1	19	37

end0.0ms

sample25.1s

Algorithm

intervals

Results

13.8s	7957×	body	10240	exit
5.2s	3250×	body	2560	valid
1.8s	2474×	body	1280	valid
1.5s	2989×	body	1280	nan
693.0ms	2463×	body	640	nan
485.0ms	1225×	body	640	valid
415.0ms	8839×	body	80	nan
216.0ms	1272×	body	320	nan
167.0ms	605×	body	320	valid
74.0ms	650×	body	160	nan
67.0ms	332×	body	160	valid
24.0ms	11×	body	5120	nan
11.0ms	114×	body	80	valid
8.0ms	9×	body	2560	nan