Details

analyze760.0ms (15.9%)

Algorithm

1×

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 (1.7%)

Algorithm

1×

intervals

Results

25.0ms	24×	body	2560	valid
23.0ms	44×	body	1280	valid
11.0ms	141×	body	80	valid
9.0ms	28×	body	640	valid
3.0ms	14×	body	320	valid
1.0ms	5×	body	160	valid

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	13
1	13	13

prune11.0ms (0.2%)

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: 32.7b

Counts

2 → 1

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

6.2b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
26.4b	(sin (/ x (* y 2.0)))
26.9b	(tan (/ x (* y 2.0)))

rewrite10.0ms (0.2%)

Algorithm

1×	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)))

series32.0ms (0.7%)

Counts

3 → 9

Calls

3 calls:

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

simplify36.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5037	733

prune178.0ms (3.7%)

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: 23.9b

Counts

53 → 14

localize0.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune49.0ms (1%)

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: 23.9b

Counts

14 → 14

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

6.2b	(/ (/ (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))) (sin (/ x (* y 2.0))))
26.4b	(sin (/ x (* y 2.0)))
26.4b	(sin (/ x (* y 2.0)))
26.7b	(cos (/ x (* y 2.0)))

rewrite17.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

75×	`times-frac`
46×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
13×	`associate-/l*`
9×	`add-exp-log` `add-cbrt-cube`
5×	`div-inv`
4×	`pow1` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `associate-/r*`
1×	`frac-2neg` `clear-num` `associate-/l/`

Counts

4 → 91

Calls

4 calls:

8.0ms	(/ (/ (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))) (sin (/ x (* y 2.0))))
2.0ms	(cos (/ x (* y 2.0)))
2.0ms	(sin (/ x (* y 2.0)))
2.0ms	(sin (/ x (* y 2.0)))

series18.0ms (0.4%)

Counts

4 → 12

Calls

4 calls:

7.0ms	(/ (/ (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))) (sin (/ x (* y 2.0))))
4.0ms	(cos (/ x (* y 2.0)))
3.0ms	(sin (/ x (* y 2.0)))
3.0ms	(sin (/ x (* y 2.0)))

simplify61.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4987	2109
1	4987	2109

prune332.0ms (6.9%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	95	8	103
Fresh	4	8	12
Picked	1	0	1
Done	0	1	1
Total	100	17	117

Merged error: 23.9b

Counts

117 → 17

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(cbrt (cos (/ x (* y 2.0))))
26.7b	(cos (/ x (* y 2.0)))
26.7b	(cos (/ x (* y 2.0)))
26.7b	(cos (/ x (* y 2.0)))

rewrite8.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`cbrt-prod`
1×	`pow1/3`

Counts

4 → 32

Calls

4 calls:

2.0ms	(cos (/ x (* y 2.0)))
2.0ms	(cos (/ x (* y 2.0)))
2.0ms	(cos (/ x (* y 2.0)))
1.0ms	(cbrt (cos (/ x (* y 2.0))))

series28.0ms (0.6%)

Counts

4 → 12

Calls

4 calls:

16.0ms	(cbrt (cos (/ x (* y 2.0))))
4.0ms	(cos (/ x (* y 2.0)))
4.0ms	(cos (/ x (* y 2.0)))
4.0ms	(cos (/ x (* y 2.0)))

simplify37.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5020	353

prune121.0ms (2.5%)

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	38	6	44
Fresh	2	13	15
Picked	1	0	1
Done	0	1	1
Total	41	20	61

Merged error: 23.8b

Counts

61 → 20

regimes580.0ms (12.1%)

Accuracy

Total 2.6b remaining (9.1%)

Threshold costs 0b (0%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	1	1
1	1	1

end0.0ms (0%)

sample2.4s (49.9%)

Algorithm

1×

intervals

Results

711.0ms	1407×	body	1280	valid
647.0ms	647×	body	2560	valid
339.0ms	1028×	body	640	valid
315.0ms	4033×	body	80	valid
136.0ms	570×	body	320	valid
61.0ms	315×	body	160	valid

Details

analyze760.0ms (15.9%)

sample81.0ms (1.7%)

simplify3.0ms (0.1%)

prune11.0ms (0.2%)

localize10.0ms (0.2%)

rewrite10.0ms (0.2%)

series32.0ms (0.7%)

simplify36.0ms (0.7%)

prune178.0ms (3.7%)

localize0.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify2.0ms (0%)

prune49.0ms (1%)

localize13.0ms (0.3%)

rewrite17.0ms (0.4%)

series18.0ms (0.4%)

simplify61.0ms (1.3%)

prune332.0ms (6.9%)

localize13.0ms (0.3%)

rewrite8.0ms (0.2%)

series28.0ms (0.6%)

simplify37.0ms (0.8%)

prune121.0ms (2.5%)

regimes580.0ms (12.1%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

end0.0ms (0%)

sample2.4s (49.9%)

Profiling