Details

sample72.0ms

Algorithm

intervals

Results

22.0ms	51×	body	1280	valid
18.0ms	19×	body	2560	valid
9.0ms	36×	body	640	valid
7.0ms	119×	body	80	valid
3.0ms	15×	body	320	valid
2.0ms	16×	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: 36.6b

Counts

2 → 1

localize14.0ms

Local error

Found 3 expressions with local error:

5.5b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
30.7b	(tan (/ x (* y 2.0)))
30.8b	(sin (/ x (* y 2.0)))

rewrite11.0ms

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` `expm1-log1p-u` `associate-/r` `log1p-expm1-u` `associate-/l` `add-log-exp`
2×	`tan-quot`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv` `associate-/l/`

Counts

3 → 49

Calls

3 calls:

6.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
2.0ms	(tan (/ x (* y 2.0)))
2.0ms	(sin (/ x (* y 2.0)))

series85.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
36.0ms	(tan (/ x (* y 2.0)))
9.0ms	(sin (/ x (* y 2.0)))

simplify58.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	146	485
1	433	441
2	1789	441
3	5001	441

prune203.0ms

Filtered

58 candidates to 50 candidates (86.2%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	41	17	58
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	42	17	59

Merged error: 28.6b

Counts

59 → 17

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

prune38.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	16	16
Picked	1	1
Done	0	0
Total	17	17

Merged error: 28.6b

Counts

17 → 17

localize14.0ms

Local error

Found 4 expressions with local error:

0.8b	(log1p (expm1 (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))))
5.5b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
30.7b	(tan (/ x (* y 2.0)))
30.8b	(sin (/ x (* y 2.0)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
6×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `associate-/l`
2×	`tan-quot`
1×	`cbrt-undiv` `log1p-udef` `frac-2neg` `log1p-expm1` `div-exp` `clear-num` `div-inv` `associate-/l/`

Counts

4 → 60

Calls

4 calls:

1.0ms	(log1p (expm1 (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))))
8.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
2.0ms	(tan (/ x (* y 2.0)))
2.0ms	(sin (/ x (* y 2.0)))

series175.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(log1p (expm1 (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))))
35.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
35.0ms	(tan (/ x (* y 2.0)))
8.0ms	(sin (/ x (* y 2.0)))

simplify58.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	159	598
1	450	539
2	1808	539
3	5001	539

prune220.0ms

Filtered

72 candidates to 58 candidates (80.6%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	65	7	72
Fresh	6	9	15
Picked	1	0	1
Done	0	1	1
Total	72	17	89

Merged error: 28.6b

Counts

89 → 17

localize18.0ms

Local error

Found 4 expressions with local error:

30.7b	(tan (/ x (* y 2.0)))
30.8b	(sin (/ x (* y 2.0)))
30.8b	(sin (/ x (* y 2.0)))
30.8b	(sin (/ x (* y 2.0)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
1×	`tan-quot`

Counts

4 → 37

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)))

series62.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(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)))

simplify64.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	61	222
1	131	194
2	445	194
3	1995	194
4	5001	194

prune166.0ms

Filtered

49 candidates to 45 candidates (91.8%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	45	4	49
Fresh	3	12	15
Picked	1	0	1
Done	0	1	1
Total	49	17	66

Merged error: 28.5b

Counts

66 → 17

regimes345.0ms

Accuracy

0% (2.4b remaining)

Error of 28.1b against oracle of 25.7b and baseline of 28.1b

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

663.0ms	1444×	body	1280	valid
578.0ms	621×	body	2560	valid
267.0ms	948×	body	640	valid
258.0ms	4139×	body	80	valid
113.0ms	529×	body	320	valid
50.0ms	319×	body	160	valid

Details

sample72.0ms

simplify6.0ms

prune2.0ms

localize14.0ms

rewrite11.0ms

series85.0ms

simplify58.0ms

prune203.0ms

localize0.0ms

rewrite0.0ms

series0.0ms

simplify3.0ms

prune38.0ms

localize14.0ms

rewrite15.0ms

series175.0ms

simplify58.0ms

prune220.0ms

localize18.0ms

rewrite10.0ms

series62.0ms

simplify64.0ms

prune166.0ms

regimes345.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.1s

Profiling