Details

sample85.0ms

Algorithm

intervals

Results

33.0ms	57×	body	1280	valid
12.0ms	12×	body	2560	valid
10.0ms	29×	body	640	valid
9.0ms	123×	body	80	valid
6.0ms	23×	body	320	valid
2.0ms	12×	body	160	valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 36.3b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

5.7b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
30.4b	(sin (/ x (* y 2.0)))
30.9b	(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)))

series34.0ms

Counts

3 → 9

Calls

3 calls:

16.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
4.0ms	(sin (/ x (* y 2.0)))
14.0ms	(tan (/ x (* y 2.0)))

simplify49.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5053	733

prune184.0ms

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: 28.0b

Counts

53 → 15

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

prune58.0ms

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: 28.0b

Counts

15 → 15

localize17.0ms

Local error

Found 4 expressions with local error:

30.4b	(sin (/ x (* y 2.0)))
30.9b	(tan (/ x (* y 2.0)))
30.9b	(tan (/ x (* y 2.0)))
30.9b	(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)))

simplify62.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4954	360
1	4954	360

prune215.0ms

Filtered

39 candidates to 43 candidates (-10.3%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	41	2	43
Fresh	1	12	13
Picked	1	0	1
Done	0	1	1
Total	43	15	58

Merged error: 27.8b

Counts

58 → 15

localize19.0ms

Local error

Found 4 expressions with local error:

30.4b	(sin (/ x (* y 2.0)))
30.9b	(tan (/ x (* y 2.0)))
30.9b	(tan (/ x (* y 2.0)))
30.9b	(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)))

series45.0ms

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)))
15.0ms	(tan (/ x (* y 2.0)))

simplify65.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4954	360
1	4954	360

prune176.0ms

Filtered

39 candidates to 43 candidates (-10.3%)

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	41	2	43
Fresh	0	13	13
Picked	0	1	1
Done	0	1	1
Total	41	17	58

Merged error: 27.8b

Counts

58 → 17

regimes454.0ms

Accuracy

0% (2.5b remaining)

Error of 28.3b against oracle of 25.8b and baseline of 28.3b

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

727.0ms	1381×	body	1280	valid
627.0ms	621×	body	2560	valid
328.0ms	984×	body	640	valid
319.0ms	4133×	body	80	valid
140.0ms	572×	body	320	valid
57.0ms	309×	body	160	valid

Details

sample85.0ms

simplify3.0ms

prune3.0ms

localize10.0ms

rewrite10.0ms

series34.0ms

simplify49.0ms

prune184.0ms

localize0.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune58.0ms

localize17.0ms

rewrite9.0ms

series42.0ms

simplify62.0ms

prune215.0ms

localize19.0ms

rewrite9.0ms

series45.0ms

simplify65.0ms

prune176.0ms

regimes454.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.5s

Profiling