Details

analyze740.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
18.7%	81.2%	0.1%	7
32.8%	67.1%	0.1%	8
38.2%	61.7%	0.1%	9
41%	58.9%	0.1%	10
43.9%	56%	0.1%	11
45.4%	54.5%	0.1%	12
46.9%	53%	0.1%	13
47.6%	52.3%	0.1%	14

sample76.0ms

Algorithm

intervals

Results

21.0ms	44×	body	1280	valid
17.0ms	17×	body	2560	valid
11.0ms	26×	body	640	valid
9.0ms	128×	body	80	valid
6.0ms	28×	body	320	valid
2.0ms	13×	body	160	valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	13	13
1	13	13

prune4.0ms

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: 34.6b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

5.5b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
29.2b	(tan (/ x (* y 2.0)))
29.2b	(sin (/ x (* y 2.0)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
5×	`add-exp-log` `add-cbrt-cube`
3×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
2×	`tan-quot`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv` `associate-/l/`

Counts

3 → 43

Calls

3 calls:

5.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
2.0ms	(tan (/ x (* y 2.0)))
2.0ms	(sin (/ x (* y 2.0)))

series34.0ms

Counts

3 → 9

Calls

3 calls:

17.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
13.0ms	(tan (/ x (* y 2.0)))
4.0ms	(sin (/ x (* y 2.0)))

simplify40.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5037	733

prune173.0ms

Filtered

44 candidates to 52 candidates (-18.2%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	38	14	52
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	39	14	53

Merged error: 26.7b

Counts

53 → 14

localize0.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify3.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune54.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	13	13
Picked	1	1
Done	0	0
Total	14	14

Merged error: 26.7b

Counts

14 → 14

localize28.0ms

Local error

Found 4 expressions with local error:

29.2b	(tan (/ x (* y 2.0)))
29.2b	(sin (/ x (* y 2.0)))
29.2b	(sin (/ x (* y 2.0)))
29.2b	(sin (/ x (* y 2.0)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
1×	`tan-quot`

Counts

4 → 29

Calls

4 calls:

2.0ms	(tan (/ x (* y 2.0)))
2.0ms	(sin (/ x (* y 2.0)))
3.0ms	(sin (/ x (* y 2.0)))
4.0ms	(sin (/ x (* y 2.0)))

series23.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(tan (/ x (* y 2.0)))
3.0ms	(sin (/ x (* y 2.0)))
3.0ms	(sin (/ x (* y 2.0)))
3.0ms	(sin (/ x (* y 2.0)))

simplify59.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4954	304
1	4954	304

prune240.0ms

Filtered

37 candidates to 41 candidates (-10.8%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	38	3	41
Fresh	2	10	12
Picked	0	1	1
Done	0	1	1
Total	40	15	55

Merged error: 26.6b

Counts

55 → 15

localize21.0ms

Local error

Found 4 expressions with local error:

29.2b	(sin (/ x (* y 2.0)))
29.2b	(sin (/ x (* y 2.0)))
29.2b	(sin (/ x (* y 2.0)))
29.2b	(sin (/ x (* y 2.0)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`

Counts

4 → 28

Calls

4 calls:

2.0ms	(sin (/ x (* y 2.0)))
2.0ms	(sin (/ x (* y 2.0)))
2.0ms	(sin (/ x (* y 2.0)))
2.0ms	(sin (/ x (* y 2.0)))

series14.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(sin (/ x (* y 2.0)))
3.0ms	(sin (/ x (* y 2.0)))
3.0ms	(sin (/ x (* y 2.0)))
4.0ms	(sin (/ x (* y 2.0)))

simplify108.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (104.0ms)

Iter	Nodes	Cost
0	4735	276
1	4735	276

prune188.0ms

Filtered

36 candidates to 40 candidates (-11.1%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	38	2	40
Fresh	2	10	12
Picked	1	0	1
Done	0	2	2
Total	41	14	55

Merged error: 26.5b

Counts

55 → 14

regimes488.0ms

Accuracy

0% (2.5b remaining)

Error of 28.5b against oracle of 26.0b and baseline of 28.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	1
1	1	1

end0.0ms

sample2.5s

Algorithm

intervals

Results

701.0ms	1398×	body	1280	valid
624.0ms	628×	body	2560	valid
506.0ms	967×	body	640	valid
304.0ms	4090×	body	80	valid
132.0ms	599×	body	320	valid
55.0ms	318×	body	160	valid

Details

analyze740.0ms

sample76.0ms

simplify3.0ms

prune4.0ms

localize10.0ms

rewrite10.0ms

series34.0ms

simplify40.0ms

prune173.0ms

localize0.0ms

rewrite0.0ms

series0.0ms

simplify3.0ms

prune54.0ms

localize28.0ms

rewrite12.0ms

series23.0ms

simplify59.0ms

prune240.0ms

localize21.0ms

rewrite9.0ms

series14.0ms

simplify108.0ms

prune188.0ms

regimes488.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.5s

Profiling