Details

analyze712.0ms

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

sample68.0ms

Algorithm

intervals

Results

21.0ms	44×	body	1280	valid
13.0ms	13×	body	2560	valid
10.0ms	35×	body	640	valid
9.0ms	133×	body	80	valid
5.0ms	24×	body	320	valid
1.0ms	7×	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: 34.8b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

6.5b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
27.9b	(sin (/ x (* y 2.0)))
28.2b	(tan (/ x (* y 2.0)))

rewrite9.0ms

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)))

series36.0ms

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

simplify35.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5037	733

prune163.0ms

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: 26.4b

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

prune44.0ms

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: 26.4b

Counts

12 → 12

localize13.0ms

Local error

Found 4 expressions with local error:

0.4b	(pow (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 3)
6.5b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
27.9b	(sin (/ x (* y 2.0)))
28.2b	(tan (/ x (* y 2.0)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
13×	`unpow-prod-down` `cube-prod`
9×	`add-exp-log` `add-cbrt-cube`
5×	`pow1`
4×	`add-log-exp`
3×	`pow-unpow` `associate-/r` `div-inv` `associate-/l`
2×	`tan-quot` `cbrt-undiv` `div-exp` `pow-exp` `rem-cube-cbrt`
1×	`cube-div` `cube-mult` `pow-to-exp` `pow-pow` `frac-2neg` `unpow3` `clear-num` `associate-/l/` `sqr-pow`

Counts

4 → 89

Calls

4 calls:

5.0ms	(pow (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 3)
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)))

series55.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(pow (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 3)
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

101 → 101

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5530	1719

prune240.0ms

Filtered

67 candidates to 101 candidates (-50.7%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	93	8	101
Fresh	2	8	10
Picked	1	0	1
Done	0	1	1
Total	96	17	113

Merged error: 26.4b

Counts

113 → 17

localize15.0ms

Local error

Found 4 expressions with local error:

27.9b	(sin (/ x (* y 2.0)))
28.2b	(tan (/ x (* y 2.0)))
28.2b	(tan (/ x (* y 2.0)))
28.2b	(tan (/ x (* y 2.0)))

rewrite11.0ms

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:

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

series60.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(sin (/ x (* y 2.0)))
14.0ms	(tan (/ x (* y 2.0)))
19.0ms	(tan (/ x (* y 2.0)))
23.0ms	(tan (/ x (* y 2.0)))

simplify61.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4954	360
1	4954	360

prune153.0ms

Filtered

39 candidates to 43 candidates (-10.3%)

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	42	1	43
Fresh	2	13	15
Picked	0	1	1
Done	0	1	1
Total	44	16	60

Merged error: 26.3b

Counts

60 → 16

regimes518.0ms

Accuracy

38.4% (1.5b remaining)

Error of 27.1b against oracle of 25.6b and baseline of 28.0b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	61
1	17	61

end0.0ms

sample2.2s

Algorithm

intervals

Results

699.0ms	1426×	body	1280	valid
607.0ms	618×	body	2560	valid
299.0ms	4160×	body	80	valid
296.0ms	968×	body	640	valid
119.0ms	538×	body	320	valid
50.0ms	290×	body	160	valid

Details

analyze712.0ms

sample68.0ms

simplify3.0ms

prune3.0ms

localize9.0ms

rewrite9.0ms

series36.0ms

simplify35.0ms

prune163.0ms

localize0.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune44.0ms

localize13.0ms

rewrite16.0ms

series55.0ms

simplify49.0ms

prune240.0ms

localize15.0ms

rewrite11.0ms

series60.0ms

simplify61.0ms

prune153.0ms

regimes518.0ms

bsearch1.0ms

simplify1.0ms

end0.0ms

sample2.2s

Profiling