Details

analyze698.0ms

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

sample74.0ms

Algorithm

intervals

Results

22.0ms	23×	body	2560	valid
20.0ms	43×	body	1280	valid
9.0ms	132×	body	80	valid
7.0ms	25×	body	640	valid
5.0ms	26×	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: 35.9b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

7.2b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
28.2b	(sin (/ x (* y 2.0)))
28.4b	(tan (/ x (* y 2.0)))

rewrite14.0ms

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:

9.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
2.0ms	(sin (/ x (* y 2.0)))
2.0ms	(tan (/ x (* y 2.0)))

series35.0ms

Counts

3 → 9

Calls

3 calls:

18.0ms	(/ (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 (42.0ms)

Iter	Nodes	Cost
0	4953	733
1	4953	733

prune177.0ms

Filtered

44 candidates to 52 candidates (-18.2%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	36	16	52
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	37	16	53

Merged error: 25.8b

Counts

53 → 16

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

prune56.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	15	15
Picked	1	1
Done	0	0
Total	16	16

Merged error: 25.8b

Counts

16 → 16

localize13.0ms

Local error

Found 4 expressions with local error:

0.4b	(pow (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 3)
7.2b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
28.2b	(sin (/ x (* y 2.0)))
28.4b	(tan (/ x (* y 2.0)))

rewrite19.0ms

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:

6.0ms	(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)))

series57.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(pow (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 3)
17.0ms	(/ (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

101 → 101

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5480	1719

prune241.0ms

Filtered

67 candidates to 101 candidates (-50.7%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	94	7	101
Fresh	6	8	14
Picked	1	0	1
Done	0	1	1
Total	101	16	117

Merged error: 25.8b

Counts

117 → 16

localize18.0ms

Local error

Found 4 expressions with local error:

28.2b	(sin (/ x (* y 2.0)))
28.4b	(tan (/ x (* y 2.0)))
28.4b	(tan (/ x (* y 2.0)))
28.4b	(tan (/ x (* y 2.0)))

rewrite10.0ms

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)))

series46.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify63.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4954	360
1	4954	360

prune189.0ms

Filtered

39 candidates to 43 candidates (-10.3%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	42	1	43
Fresh	2	12	14
Picked	0	1	1
Done	0	1	1
Total	44	15	59

Merged error: 25.7b

Counts

59 → 15

regimes659.0ms

Accuracy

0% (2.4b remaining)

Error of 28.5b against oracle of 26.1b and baseline of 28.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	1
1	1	1

end0.0ms

analyze703.0ms

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

sample2.3s

Algorithm

intervals

Results

698.0ms	1387×	body	1280	valid
622.0ms	631×	body	2560	valid
316.0ms	990×	body	640	valid
302.0ms	4096×	body	80	valid
140.0ms	605×	body	320	valid
51.0ms	291×	body	160	valid

Details

analyze698.0ms

sample74.0ms

simplify3.0ms

prune3.0ms

localize9.0ms

rewrite14.0ms

series35.0ms

simplify49.0ms

prune177.0ms

localize0.0ms

rewrite0.0ms

series0.0ms

simplify3.0ms

prune56.0ms

localize13.0ms

rewrite19.0ms

series57.0ms

simplify49.0ms

prune241.0ms

localize18.0ms

rewrite10.0ms

series46.0ms

simplify63.0ms

prune189.0ms

regimes659.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze703.0ms

sample2.3s

Profiling