Details

sample163.0ms

Algorithm

intervals

Results

23.0ms	17×	body	2560	valid
20.0ms	42×	body	1280	valid
10.0ms	33×	body	640	valid
10.0ms	145×	body	80	valid
3.0ms	12×	body	320	valid
1.0ms	7×	body	160	valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

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: 33.4b

Counts

2 → 1

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ x (* y 2.0))
7.4b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
25.6b	(sin (/ x (* y 2.0)))
25.9b	(tan (/ x (* y 2.0)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`times-frac`
11×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/l*`
4×	`pow1` `associate-/r*` `add-log-exp`
3×	`cbrt-undiv` `div-exp`
2×	`tan-quot` `frac-2neg` `clear-num` `div-inv`
1×	`prod-exp` `cbrt-unprod` `associate-/l/`

Counts

4 → 64

Calls

4 calls:

4.0ms	(/ x (* y 2.0))
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)))

series38.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(/ x (* y 2.0))
16.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
3.0ms	(sin (/ x (* y 2.0)))
13.0ms	(tan (/ x (* y 2.0)))

simplify93.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	229	540
1	840	484
2	4356	484
3	5001	484

prune218.0ms

Filtered

61 candidates to 76 candidates (-24.6%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	57	19	76
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	58	19	77

Merged error: 23.0b

Counts

77 → 19

localize0.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune63.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	18	18
Picked	1	1
Done	0	0
Total	19	19

Merged error: 23.0b

Counts

19 → 19

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b	(pow (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 3)
7.4b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
25.6b	(sin (/ x (* y 2.0)))
25.9b	(tan (/ x (* y 2.0)))

rewrite17.0ms

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)))

series54.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(pow (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 3)
16.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
3.0ms	(sin (/ x (* y 2.0)))
12.0ms	(tan (/ x (* y 2.0)))

simplify49.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	337	1072
1	1554	977
2	5001	968

prune229.0ms

Filtered

67 candidates to 101 candidates (-50.7%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	97	4	101
Fresh	5	12	17
Picked	1	0	1
Done	0	1	1
Total	103	17	120

Merged error: 23.0b

Counts

120 → 17

localize19.0ms

Local error

Found 4 expressions with local error:

25.6b	(sin (/ x (* y 2.0)))
25.9b	(tan (/ x (* y 2.0)))
25.9b	(tan (/ x (* y 2.0)))
25.9b	(tan (/ x (* y 2.0)))

rewrite9.0ms

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)))

series42.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(sin (/ x (* y 2.0)))
12.0ms	(tan (/ x (* y 2.0)))
12.0ms	(tan (/ x (* y 2.0)))
14.0ms	(tan (/ x (* y 2.0)))

simplify46.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	56	224
1	123	196
2	434	196
3	1952	196
4	5001	196

prune169.0ms

Filtered

39 candidates to 43 candidates (-10.3%)

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	42	1	43
Fresh	1	14	15
Picked	0	1	1
Done	0	1	1
Total	43	17	60

Merged error: 23.0b

Counts

60 → 17

regimes541.0ms

Accuracy

27.2% (2.1b remaining)

Error of 27.3b against oracle of 25.2b and baseline of 28.1b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	36
1	21	36

end0.0ms

sample2.5s

Algorithm

intervals

Results

688.0ms	1402×	body	1280	valid
676.0ms	692×	body	2560	valid
297.0ms	928×	body	640	valid
289.0ms	4134×	body	80	valid
130.0ms	516×	body	320	valid
56.0ms	328×	body	160	valid

Details

sample163.0ms

simplify4.0ms

prune3.0ms

localize9.0ms

rewrite14.0ms

series38.0ms

simplify93.0ms

prune218.0ms

localize0.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune63.0ms

localize12.0ms

rewrite17.0ms

series54.0ms

simplify49.0ms

prune229.0ms

localize19.0ms

rewrite9.0ms

series42.0ms

simplify46.0ms

prune169.0ms

regimes541.0ms

bsearch1.0ms

simplify2.0ms

end0.0ms

sample2.5s

Profiling