Details

analyze797.0ms

Algorithm: search

sample89.0ms

Algorithm

intervals

Results

27.0ms	53×	body	1280	valid
24.0ms	21×	body	2560	valid
12.0ms	36×	body	640	valid
9.0ms	111×	body	80	valid
7.0ms	27×	body	320	valid
1.0ms	8×	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: 39.4b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

6.0b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
33.0b	(sin (/ x (* y 2.0)))
33.3b	(tan (/ 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	(sin (/ x (* y 2.0)))
2.0ms	(tan (/ x (* y 2.0)))

series34.0ms

Counts

3 → 9

Calls

3 calls:

18.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
3.0ms	(sin (/ x (* y 2.0)))
12.0ms	(tan (/ x (* y 2.0)))

simplify47.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 1 (4.0ms)

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

prune349.0ms

Filtered

44 candidates to 52 candidates (-18.2%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	38	14	52
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	39	14	53

Merged error: 30.9b

Counts

53 → 14

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

prune53.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	13	13
Picked	1	1
Done	0	0
Total	14	14

Merged error: 30.9b

Counts

14 → 14

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(pow (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 3)
6.0b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
33.0b	(sin (/ x (* y 2.0)))
33.3b	(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:

5.0ms	(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)))

series56.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(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)))

simplify52.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (40.0ms)

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

prune279.0ms

Filtered

67 candidates to 101 candidates (-50.7%)

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	91	10	101
Fresh	4	8	12
Picked	1	0	1
Done	0	1	1
Total	96	19	115

Merged error: 30.9b

Counts

115 → 19

localize16.0ms

Local error

Found 4 expressions with local error:

33.0b	(sin (/ x (* y 2.0)))
33.0b	(sin (/ x (* y 2.0)))
33.3b	(tan (/ x (* y 2.0)))
33.3b	(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`
2×	`tan-quot`

Counts

4 → 30

Calls

4 calls:

2.0ms	(sin (/ 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)))

series33.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify50.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	56	208
1	123	180
2	434	180
3	1952	180
4	5001	180

prune115.0ms

Filtered

38 candidates to 42 candidates (-10.5%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	40	2	42
Fresh	2	15	17
Picked	1	0	1
Done	0	1	1
Total	43	18	61

Merged error: 30.8b

Counts

61 → 18

regimes591.0ms

Accuracy

0% (2.3b remaining)

Error of 28.6b against oracle of 26.3b and baseline of 28.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	0

end0.0ms

analyze899.0ms

Algorithm: search

sample2.6s

Algorithm

intervals

Results

788.0ms	1416×	body	1280	valid
685.0ms	633×	body	2560	valid
350.0ms	991×	body	640	valid
339.0ms	4055×	body	80	valid
162.0ms	605×	body	320	valid
60.0ms	300×	body	160	valid

Details

analyze797.0ms

sample89.0ms

simplify4.0ms

prune3.0ms

localize10.0ms

rewrite10.0ms

series34.0ms

simplify47.0ms

prune349.0ms

localize0.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune53.0ms

localize14.0ms

rewrite17.0ms

series56.0ms

simplify52.0ms

prune279.0ms

localize16.0ms

rewrite9.0ms

series33.0ms

simplify50.0ms

prune115.0ms

regimes591.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze899.0ms

sample2.6s

Profiling