Details

analyze717.0ms

Algorithm: search

sample81.0ms

Algorithm

intervals

Results

26.0ms	27×	body	2560	valid
19.0ms	38×	body	1280	valid
9.0ms	129×	body	80	valid
8.0ms	27×	body	640	valid
5.0ms	23×	body	320	valid
2.0ms	12×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	7
1	13	7
2	13	7

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: 36.5b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

8.0b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
29.1b	(sin (/ x (* y 2.0)))
29.2b	(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)))

series33.0ms

Counts

3 → 9

Calls

3 calls:

16.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
3.0ms	(sin (/ x (* y 2.0)))
13.0ms	(tan (/ x (* y 2.0)))

simplify49.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	138	457
1	421	413
2	1751	413
3	5002	413

prune175.0ms

Filtered

44 candidates to 52 candidates (-18.2%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	37	15	52
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	38	15	53

Merged error: 26.2b

Counts

53 → 15

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

prune56.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	14	14
Picked	1	1
Done	0	0
Total	15	15

Merged error: 26.2b

Counts

15 → 15

localize17.0ms

Local error

Found 4 expressions with local error:

29.1b	(sin (/ x (* y 2.0)))
29.2b	(tan (/ x (* y 2.0)))
29.2b	(tan (/ x (* y 2.0)))
29.2b	(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)))

series43.0ms

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)))

simplify54.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	56	224
1	123	196
2	434	196
3	1952	196
4	5001	196

prune217.0ms

Filtered

39 candidates to 43 candidates (-10.3%)

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	40	3	43
Fresh	1	12	13
Picked	0	1	1
Done	0	1	1
Total	41	17	58

Merged error: 26.2b

Counts

58 → 17

localize21.0ms

Local error

Found 4 expressions with local error:

29.1b	(sin (/ x (* y 2.0)))
29.1b	(sin (/ x (* y 2.0)))
29.2b	(tan (/ x (* y 2.0)))
29.2b	(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`
2×	`tan-quot`

Counts

4 → 30

Calls

4 calls:

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

series34.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(sin (/ x (* y 2.0)))
3.0ms	(sin (/ x (* y 2.0)))
13.0ms	(tan (/ x (* y 2.0)))
14.0ms	(tan (/ x (* y 2.0)))

simplify49.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	56	208
1	123	180
2	434	180
3	1952	180
4	5001	180

prune163.0ms

Filtered

38 candidates to 42 candidates (-10.5%)

Pruning

18 alts after pruning (16 fresh and 2 done)

	Pruned	Kept	Total
New	39	3	42
Fresh	1	13	14
Picked	1	0	1
Done	0	2	2
Total	41	18	59

Merged error: 26.2b

Counts

59 → 18

regimes642.0ms

Accuracy

39.9% (1.5b remaining)

Error of 27.6b against oracle of 26.1b and baseline of 28.6b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	41
1	22	41

end0.0ms

analyze803.0ms

Algorithm: search

sample2.4s

Algorithm

intervals

Results

720.0ms	1382×	body	1280	valid
693.0ms	684×	body	2560	valid
320.0ms	4104×	body	80	valid
310.0ms	946×	body	640	valid
139.0ms	579×	body	320	valid
54.0ms	305×	body	160	valid

Details

analyze717.0ms

sample81.0ms

simplify5.0ms

prune3.0ms

localize10.0ms

rewrite10.0ms

series33.0ms

simplify49.0ms

prune175.0ms

localize0.0ms

rewrite0.0ms

series0.0ms

simplify3.0ms

prune56.0ms

localize17.0ms

rewrite9.0ms

series43.0ms

simplify54.0ms

prune217.0ms

localize21.0ms

rewrite9.0ms

series34.0ms

simplify49.0ms

prune163.0ms

regimes642.0ms

bsearch1.0ms

simplify2.0ms

end0.0ms

analyze803.0ms

sample2.4s

Profiling