Details

sample69.0ms

Algorithm

intervals

Results

20.0ms	46×	body	1280	valid
19.0ms	22×	body	2560	valid
9.0ms	35×	body	640	valid
7.0ms	125×	body	80	valid
4.0ms	20×	body	320	valid
1.0ms	8×	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: 38.9b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

8.7b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
29.8b	(sin (/ x (* y 2.0)))
30.2b	(tan (/ x (* y 2.0)))

rewrite14.0ms

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:

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

series78.0ms

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)))
36.0ms	(tan (/ x (* y 2.0)))

simplify55.0ms

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

prune165.0ms

Filtered

52 candidates to 44 candidates (84.6%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	40	12	52
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	41	12	53

Merged error: 27.8b

Counts

53 → 12

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

prune29.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	11	11
Picked	1	1
Done	0	0
Total	12	12

Merged error: 27.8b

Counts

12 → 12

localize19.0ms

Local error

Found 4 expressions with local error:

29.8b	(sin (/ x (* y 2.0)))
30.2b	(tan (/ x (* y 2.0)))
30.2b	(tan (/ x (* y 2.0)))
30.2b	(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)))

series115.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(sin (/ x (* y 2.0)))
35.0ms	(tan (/ x (* y 2.0)))
38.0ms	(tan (/ x (* y 2.0)))
35.0ms	(tan (/ x (* y 2.0)))

simplify50.0ms

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

prune182.0ms

Filtered

43 candidates to 39 candidates (90.7%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	38	5	43
Fresh	1	9	10
Picked	1	0	1
Done	0	1	1
Total	40	15	55

Merged error: 27.7b

Counts

55 → 15

localize24.0ms

Local error

Found 4 expressions with local error:

29.8b	(sin (/ x (* y 2.0)))
29.8b	(sin (/ x (* y 2.0)))
30.2b	(tan (/ x (* y 2.0)))
30.2b	(tan (/ x (* y 2.0)))

rewrite11.0ms

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

series87.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(sin (/ x (* y 2.0)))
8.0ms	(sin (/ x (* y 2.0)))
34.0ms	(tan (/ x (* y 2.0)))
35.0ms	(tan (/ x (* y 2.0)))

simplify50.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 1 (4.0ms)

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

prune162.0ms

Filtered

42 candidates to 38 candidates (90.5%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	40	2	42
Fresh	0	13	13
Picked	1	0	1
Done	0	1	1
Total	41	16	57

Merged error: 27.7b

Counts

57 → 16

regimes307.0ms

Accuracy

0% (2.4b remaining)

Error of 28.4b against oracle of 26.0b and baseline of 28.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	0

end0.0ms

sample2.0s

Algorithm

intervals

Results

606.0ms	1403×	body	1280	valid
566.0ms	628×	body	2560	valid
251.0ms	953×	body	640	valid
248.0ms	4124×	body	80	valid
113.0ms	595×	body	320	valid
44.0ms	297×	body	160	valid

Details

sample69.0ms

simplify5.0ms

prune2.0ms

localize10.0ms

rewrite14.0ms

series78.0ms

simplify55.0ms

prune165.0ms

localize0.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune29.0ms

localize19.0ms

rewrite9.0ms

series115.0ms

simplify50.0ms

prune182.0ms

localize24.0ms

rewrite11.0ms

series87.0ms

simplify50.0ms

prune162.0ms

regimes307.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.0s

Profiling