Details

sample75.0ms

Algorithm

intervals

Results

24.0ms	50×	body	1280	valid
17.0ms	18×	body	2560	valid
10.0ms	33×	body	640	valid
10.0ms	136×	body	80	valid
3.0ms	14×	body	320	valid
1.0ms	5×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

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: 34.6b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

7.4b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
27.1b	(sin (/ x (* y 2.0)))
27.5b	(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)))

series83.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
8.0ms	(sin (/ x (* y 2.0)))
40.0ms	(tan (/ x (* y 2.0)))

simplify50.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 1 (5.0ms)

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

prune161.0ms

Filtered

52 candidates to 44 candidates (84.6%)

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: 24.8b

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

prune28.0ms

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: 24.8b

Counts

14 → 14

localize14.0ms

Local error

Found 4 expressions with local error:

27.1b	(sin (/ x (* y 2.0)))
27.5b	(tan (/ x (* y 2.0)))
27.5b	(tan (/ x (* y 2.0)))
27.5b	(tan (/ x (* y 2.0)))

rewrite12.0ms

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:

5.0ms	(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)))

series116.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(sin (/ x (* y 2.0)))
39.0ms	(tan (/ x (* y 2.0)))
35.0ms	(tan (/ x (* y 2.0)))
35.0ms	(tan (/ x (* y 2.0)))

simplify49.0ms

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

prune161.0ms

Filtered

43 candidates to 39 candidates (90.7%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	41	2	43
Fresh	1	11	12
Picked	1	0	1
Done	0	1	1
Total	43	14	57

Merged error: 24.7b

Counts

57 → 14

localize24.0ms

Local error

Found 4 expressions with local error:

27.1b	(sin (/ x (* y 2.0)))
27.1b	(sin (/ x (* y 2.0)))
27.5b	(tan (/ x (* y 2.0)))
27.5b	(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)))

series89.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(sin (/ x (* y 2.0)))
12.0ms	(sin (/ x (* y 2.0)))
34.0ms	(tan (/ x (* y 2.0)))
35.0ms	(tan (/ x (* y 2.0)))

simplify49.0ms

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

prune152.0ms

Filtered

42 candidates to 38 candidates (90.5%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	40	2	42
Fresh	0	12	12
Picked	1	0	1
Done	0	1	1
Total	41	15	56

Merged error: 24.7b

Counts

56 → 15

regimes321.0ms

Accuracy

38.5% (1.5b remaining)

Error of 27.2b against oracle of 25.8b and baseline of 28.2b

bsearch2.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	41
1	22	41

end0.0ms

sample1.9s

Algorithm

intervals

Results

608.0ms	1408×	body	1280	valid
537.0ms	606×	body	2560	valid
258.0ms	1008×	body	640	valid
226.0ms	4149×	body	80	valid
104.0ms	547×	body	320	valid
40.0ms	282×	body	160	valid

Details

sample75.0ms

simplify5.0ms

prune2.0ms

localize9.0ms

rewrite10.0ms

series83.0ms

simplify50.0ms

prune161.0ms

localize0.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune28.0ms

localize14.0ms

rewrite12.0ms

series116.0ms

simplify49.0ms

prune161.0ms

localize24.0ms

rewrite9.0ms

series89.0ms

simplify49.0ms

prune152.0ms

regimes321.0ms

bsearch2.0ms

simplify1.0ms

end0.0ms

sample1.9s

Profiling