Details

sample77.0ms

Algorithm

intervals

Results

22.0ms	46×	body	1280	valid
16.0ms	16×	body	2560	valid
12.0ms	38×	body	640	valid
10.0ms	140×	body	80	valid
2.0ms	10×	body	320	valid
1.0ms	6×	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

Filtered

1 candidates to 0 candidates (100.0%)

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: 33.5b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

7.5b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
26.8b	(tan (/ x (* y 2.0)))
27.0b	(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)))

series33.0ms

Counts

3 → 9

Calls

3 calls:

16.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
13.0ms	(tan (/ x (* y 2.0)))
4.0ms	(sin (/ x (* y 2.0)))

simplify48.0ms

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

prune185.0ms

Filtered

52 candidates to 44 candidates (15.4%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	36	16	52
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	37	16	53

Merged error: 23.8b

Counts

53 → 16

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

prune61.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	15	15
Picked	1	1
Done	0	0
Total	16	16

Merged error: 23.8b

Counts

16 → 16

localize18.0ms

Local error

Found 4 expressions with local error:

26.8b	(tan (/ x (* y 2.0)))
27.0b	(sin (/ x (* y 2.0)))
27.0b	(sin (/ x (* y 2.0)))
27.0b	(sin (/ 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`
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)))

series24.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(tan (/ x (* y 2.0)))
3.0ms	(sin (/ x (* y 2.0)))
3.0ms	(sin (/ x (* y 2.0)))
4.0ms	(sin (/ x (* y 2.0)))

simplify47.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 1 (3.0ms)

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

prune252.0ms

Filtered

41 candidates to 37 candidates (9.8%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	38	3	41
Fresh	2	12	14
Picked	1	0	1
Done	0	1	1
Total	41	16	57

Merged error: 23.7b

Counts

57 → 16

localize17.0ms

Local error

Found 4 expressions with local error:

26.8b	(tan (/ x (* y 2.0)))
27.0b	(sin (/ x (* y 2.0)))
27.0b	(sin (/ x (* y 2.0)))
27.0b	(sin (/ 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`
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)))

series24.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(tan (/ x (* y 2.0)))
3.0ms	(sin (/ x (* y 2.0)))
3.0ms	(sin (/ x (* y 2.0)))
4.0ms	(sin (/ x (* y 2.0)))

simplify48.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 1 (3.0ms)

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

prune157.0ms

Filtered

41 candidates to 37 candidates (9.8%)

Pruning

18 alts after pruning (16 fresh and 2 done)

	Pruned	Kept	Total
New	38	3	41
Fresh	1	13	14
Picked	0	1	1
Done	0	1	1
Total	39	18	57

Merged error: 23.7b

Counts

57 → 18

regimes590.0ms

Accuracy

41.8% (1.5b remaining)

Error of 27.7b against oracle of 26.2b and baseline of 28.7b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	33
1	17	33

end0.0ms

sample2.4s

Algorithm

intervals

Results

682.0ms	1365×	body	1280	valid
612.0ms	623×	body	2560	valid
319.0ms	1006×	body	640	valid
277.0ms	4069×	body	80	valid
134.0ms	592×	body	320	valid
62.0ms	345×	body	160	valid

Details

sample77.0ms

simplify4.0ms

prune3.0ms

localize9.0ms

rewrite10.0ms

series33.0ms

simplify48.0ms

prune185.0ms

localize0.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune61.0ms

localize18.0ms

rewrite9.0ms

series24.0ms

simplify47.0ms

prune252.0ms

localize17.0ms

rewrite9.0ms

series24.0ms

simplify48.0ms

prune157.0ms

regimes590.0ms

bsearch1.0ms

simplify1.0ms

end0.0ms

sample2.4s

Profiling