Details

analyze711.0ms

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

sample77.0ms

Algorithm

intervals

Results

25.0ms	52×	body	1280	valid
20.0ms	20×	body	2560	valid
9.0ms	131×	body	80	valid
8.0ms	27×	body	640	valid
4.0ms	19×	body	320	valid
1.0ms	7×	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

prune3.0ms

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: 37.1b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

8.7b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
28.5b	(sin (/ x (* y 2.0)))
28.6b	(tan (/ 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	(sin (/ x (* y 2.0)))
2.0ms	(tan (/ x (* y 2.0)))

series37.0ms

Counts

3 → 9

Calls

3 calls:

17.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
3.0ms	(sin (/ x (* y 2.0)))
17.0ms	(tan (/ x (* y 2.0)))

simplify37.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5037	733

prune194.0ms

Filtered

44 candidates to 52 candidates (-18.2%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	40	12	52
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	41	12	53

Merged error: 26.3b

Counts

53 → 12

localize0.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune43.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	11	11
Picked	1	1
Done	0	0
Total	12	12

Merged error: 26.3b

Counts

12 → 12

localize15.0ms

Local error

Found 4 expressions with local error:

28.5b	(sin (/ x (* y 2.0)))
28.6b	(tan (/ x (* y 2.0)))
28.6b	(tan (/ x (* y 2.0)))
28.6b	(tan (/ 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`
3×	`tan-quot`

Counts

4 → 31

Calls

4 calls:

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

series42.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(sin (/ x (* y 2.0)))
13.0ms	(tan (/ x (* y 2.0)))
13.0ms	(tan (/ x (* y 2.0)))
13.0ms	(tan (/ x (* y 2.0)))

simplify60.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4954	360
1	4954	360

prune236.0ms

Filtered

39 candidates to 43 candidates (-10.3%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	42	1	43
Fresh	1	9	10
Picked	0	1	1
Done	0	1	1
Total	43	12	55

Merged error: 26.2b

Counts

55 → 12

localize19.0ms

Local error

Found 4 expressions with local error:

28.5b	(sin (/ x (* y 2.0)))
28.6b	(tan (/ x (* y 2.0)))
28.6b	(tan (/ x (* y 2.0)))
28.6b	(tan (/ 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`
3×	`tan-quot`

Counts

4 → 31

Calls

4 calls:

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

series59.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(sin (/ x (* y 2.0)))
21.0ms	(tan (/ x (* y 2.0)))
21.0ms	(tan (/ x (* y 2.0)))
13.0ms	(tan (/ x (* y 2.0)))

simplify64.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4954	360
1	4954	360

prune175.0ms

Filtered

39 candidates to 43 candidates (-10.3%)

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	38	5	43
Fresh	0	9	9
Picked	1	0	1
Done	0	2	2
Total	39	16	55

Merged error: 26.2b

Counts

55 → 16

regimes533.0ms

Accuracy

0% (2.4b remaining)

Error of 28.5b against oracle of 26.1b 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

sample2.3s

Algorithm

intervals

Results

669.0ms	1355×	body	1280	valid
623.0ms	639×	body	2560	valid
315.0ms	1032×	body	640	valid
293.0ms	4112×	body	80	valid
134.0ms	586×	body	320	valid
46.0ms	276×	body	160	valid

Details

analyze711.0ms

sample77.0ms

simplify3.0ms

prune3.0ms

localize9.0ms

rewrite10.0ms

series37.0ms

simplify37.0ms

prune194.0ms

localize0.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune43.0ms

localize15.0ms

rewrite9.0ms

series42.0ms

simplify60.0ms

prune236.0ms

localize19.0ms

rewrite9.0ms

series59.0ms

simplify64.0ms

prune175.0ms

regimes533.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.3s

Profiling