Details

sample72.0ms

Algorithm

intervals

Results

26.0ms	29×	body	2560	valid
19.0ms	45×	body	1280	valid
9.0ms	146×	body	80	valid
4.0ms	14×	body	640	valid
3.0ms	13×	body	320	valid
1.0ms	9×	body	160	valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	11	7
1	13	7
2	13	7

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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

localize14.0ms

Local error

Found 3 expressions with local error:

10.1b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
25.2b	(tan (/ x (* y 2.0)))
25.4b	(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)))

series81.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
35.0ms	(tan (/ x (* y 2.0)))
8.0ms	(sin (/ x (* y 2.0)))

simplify51.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	138	457
1	421	413
2	1751	413
3	5002	413

prune152.0ms

Filtered

52 candidates to 44 candidates (84.6%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	39	13	52
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	40	13	53

Merged error: 23.1b

Counts

53 → 13

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 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune27.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	12	12
Picked	1	1
Done	0	0
Total	13	13

Merged error: 23.1b

Counts

13 → 13

localize11.0ms

Local error

Found 4 expressions with local error:

10.1b	(/ (/ (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))) (sin (/ x (* y 2.0))))
25.1b	(cos (/ x (* y 2.0)))
25.4b	(sin (/ x (* y 2.0)))
25.4b	(sin (/ x (* y 2.0)))

rewrite19.0ms

Algorithm

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

series48.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(/ (/ (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))) (sin (/ x (* y 2.0))))
10.0ms	(cos (/ x (* y 2.0)))
8.0ms	(sin (/ x (* y 2.0)))
8.0ms	(sin (/ x (* y 2.0)))

simplify55.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	351	1606
1	1470	1336
2	5002	1259

prune272.0ms

Filtered

103 candidates to 83 candidates (80.6%)

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	93	10	103
Fresh	2	9	11
Picked	1	0	1
Done	0	1	1
Total	96	20	116

Merged error: 23.1b

Counts

116 → 20

localize15.0ms

Local error

Found 4 expressions with local error:

25.2b	(tan (/ x (* y 2.0)))
25.4b	(sin (/ x (* y 2.0)))
25.4b	(sin (/ x (* y 2.0)))
25.4b	(sin (/ 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`
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)))

series60.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(tan (/ x (* y 2.0)))
8.0ms	(sin (/ x (* y 2.0)))
8.0ms	(sin (/ x (* y 2.0)))
8.0ms	(sin (/ x (* y 2.0)))

simplify50.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	56	192
1	123	164
2	434	164
3	1952	164
4	5001	164

prune121.0ms

Filtered

41 candidates to 37 candidates (90.2%)

Pruning

20 alts after pruning (18 fresh and 2 done)

	Pruned	Kept	Total
New	39	2	41
Fresh	2	16	18
Picked	0	1	1
Done	0	1	1
Total	41	20	61

Merged error: 23.0b

Counts

61 → 20

regimes340.0ms

Accuracy

0% (2.4b remaining)

Error of 28.2b against oracle of 25.8b and baseline of 28.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	0

end0.0ms

sample2.1s

Algorithm

intervals

Results

619.0ms	1350×	body	1280	valid
597.0ms	652×	body	2560	valid
281.0ms	990×	body	640	valid
253.0ms	4136×	body	80	valid
120.0ms	562×	body	320	valid
48.0ms	310×	body	160	valid

Details

sample72.0ms

simplify6.0ms

prune2.0ms

localize14.0ms

rewrite10.0ms

series81.0ms

simplify51.0ms

prune152.0ms

localize0.0ms

rewrite0.0ms

series0.0ms

simplify3.0ms

prune27.0ms

localize11.0ms

rewrite19.0ms

series48.0ms

simplify55.0ms

prune272.0ms

localize15.0ms

rewrite10.0ms

series60.0ms

simplify50.0ms

prune121.0ms

regimes340.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.1s

Profiling