Details

analyze739.0ms

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

sample81.0ms

Algorithm

intervals

Results

24.0ms	24×	body	2560	valid
21.0ms	43×	body	1280	valid
11.0ms	34×	body	640	valid
9.0ms	127×	body	80	valid
5.0ms	21×	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: 34.3b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

4.5b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
29.5b	(tan (/ x (* y 2.0)))
29.6b	(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)))

series35.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
12.0ms	(tan (/ x (* y 2.0)))
3.0ms	(sin (/ x (* y 2.0)))

simplify44.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4953	733
1	4953	733

prune172.0ms

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: 27.4b

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

prune50.0ms

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: 27.4b

Counts

14 → 14

localize15.0ms

Local error

Found 4 expressions with local error:

29.5b	(tan (/ x (* y 2.0)))
29.6b	(sin (/ x (* y 2.0)))
29.6b	(sin (/ x (* y 2.0)))
29.6b	(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`
1×	`tan-quot`

Counts

4 → 29

Calls

4 calls:

2.0ms	(tan (/ 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)))

series24.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(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)))

simplify64.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4954	304
1	4954	304

prune194.0ms

Filtered

37 candidates to 41 candidates (-10.8%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	39	2	41
Fresh	1	11	12
Picked	0	1	1
Done	0	1	1
Total	40	15	55

Merged error: 27.3b

Counts

55 → 15

localize13.0ms

Local error

Found 4 expressions with local error:

0.4b	(pow (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 3)
4.5b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
29.5b	(tan (/ x (* y 2.0)))
29.6b	(sin (/ x (* y 2.0)))

rewrite18.0ms

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

series56.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(pow (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 3)
18.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
13.0ms	(tan (/ x (* y 2.0)))
4.0ms	(sin (/ x (* y 2.0)))

simplify55.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5480	1719

prune174.0ms

Filtered

67 candidates to 101 candidates (-50.7%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	96	5	101
Fresh	3	9	12
Picked	1	0	1
Done	1	1	2
Total	101	15	116

Merged error: 27.3b

Counts

116 → 15

regimes473.0ms

Accuracy

0% (2.5b remaining)

Error of 28.8b against oracle of 26.3b and baseline of 28.8b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	1
1	1	1

end0.0ms

analyze725.0ms

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

sample2.4s

Algorithm

intervals

Results

727.0ms	1408×	body	1280	valid
689.0ms	696×	body	2560	valid
306.0ms	957×	body	640	valid
303.0ms	4072×	body	80	valid
131.0ms	552×	body	320	valid
56.0ms	315×	body	160	valid

Details

analyze739.0ms

sample81.0ms

simplify3.0ms

prune3.0ms

localize10.0ms

rewrite10.0ms

series35.0ms

simplify44.0ms

prune172.0ms

localize0.0ms

rewrite0.0ms

series0.0ms

simplify3.0ms

prune50.0ms

localize15.0ms

rewrite9.0ms

series24.0ms

simplify64.0ms

prune194.0ms

localize13.0ms

rewrite18.0ms

series56.0ms

simplify55.0ms

prune174.0ms

regimes473.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze725.0ms

sample2.4s

Profiling