Details

analyze747.0ms (15.2%)

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

sample87.0ms (1.8%)

Algorithm

1×

intervals

Results

29.0ms	50×	body	1280	valid
21.0ms	22×	body	2560	valid
11.0ms	36×	body	640	valid
9.0ms	114×	body	80	valid
6.0ms	25×	body	320	valid
2.0ms	9×	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

prune6.0ms (0.1%)

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: 37.6b

Counts

2 → 1

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

5.3b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
32.0b	(sin (/ x (* y 2.0)))
32.3b	(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)))

series38.0ms (0.8%)

Counts

3 → 9

Calls

3 calls:

20.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
14.0ms	(tan (/ x (* y 2.0)))
4.0ms	(sin (/ x (* y 2.0)))

simplify39.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5037	733

prune182.0ms (3.7%)

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: 29.6b

Counts

53 → 12

localize0.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune46.0ms (0.9%)

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: 29.6b

Counts

12 → 12

localize20.0ms (0.4%)

Local error

Found 4 expressions with local error:

32.0b	(sin (/ x (* y 2.0)))
32.3b	(tan (/ x (* y 2.0)))
32.3b	(tan (/ x (* y 2.0)))
32.3b	(tan (/ x (* y 2.0)))

rewrite9.0ms (0.2%)

Algorithm

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

series46.0ms (0.9%)

Counts

4 → 12

Calls

4 calls:

14.0ms	(tan (/ x (* y 2.0)))
13.0ms	(tan (/ x (* y 2.0)))
13.0ms	(tan (/ x (* y 2.0)))
5.0ms	(sin (/ x (* y 2.0)))

simplify70.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4954	360
1	4954	360

prune265.0ms (5.4%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	38	5	43
Fresh	2	8	10
Picked	1	0	1
Done	0	1	1
Total	41	14	55

Merged error: 29.5b

Counts

55 → 14

localize17.0ms (0.4%)

Local error

Found 4 expressions with local error:

32.0b	(sin (/ x (* y 2.0)))
32.3b	(tan (/ x (* y 2.0)))
32.3b	(tan (/ x (* y 2.0)))
32.3b	(tan (/ x (* y 2.0)))

rewrite9.0ms (0.2%)

Algorithm

1×	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	(tan (/ 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)))

series44.0ms (0.9%)

Counts

4 → 12

Calls

4 calls:

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

simplify69.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4954	360
1	4954	360

prune166.0ms (3.4%)

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	41	2	43
Fresh	0	12	12
Picked	0	1	1
Done	0	1	1
Total	41	16	57

Merged error: 29.5b

Counts

57 → 16

regimes568.0ms (11.6%)

Accuracy

Total 2.4b remaining (8.3%)

Threshold costs 0b (0%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	1
1	1	1

end0.0ms (0%)

sample2.5s (50%)

Algorithm

1×

intervals

Results

718.0ms	1386×	body	1280	valid
701.0ms	689×	body	2560	valid
335.0ms	1006×	body	640	valid
325.0ms	4069×	body	80	valid
140.0ms	578×	body	320	valid
50.0ms	272×	body	160	valid

Details

analyze747.0ms (15.2%)

sample87.0ms (1.8%)

simplify3.0ms (0.1%)

prune6.0ms (0.1%)

localize10.0ms (0.2%)

rewrite10.0ms (0.2%)

series38.0ms (0.8%)

simplify39.0ms (0.8%)

prune182.0ms (3.7%)

localize0.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify2.0ms (0.1%)

prune46.0ms (0.9%)

localize20.0ms (0.4%)

rewrite9.0ms (0.2%)

series46.0ms (0.9%)

simplify70.0ms (1.4%)

prune265.0ms (5.4%)

localize17.0ms (0.4%)

rewrite9.0ms (0.2%)

series44.0ms (0.9%)

simplify69.0ms (1.4%)

prune166.0ms (3.4%)

regimes568.0ms (11.6%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

end0.0ms (0%)

sample2.5s (50%)

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