Details

sample69.0ms

Algorithm

intervals

Results

24.0ms	54×	body	1280	valid
15.0ms	16×	body	2560	valid
8.0ms	29×	body	640	valid
8.0ms	133×	body	80	valid
3.0ms	15×	body	320	valid
1.0ms	9×	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: 36.0b

Counts

2 → 1

localize14.0ms

Local error

Found 3 expressions with local error:

7.4b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
28.1b	(sin (/ x (* y 2.0)))
28.8b	(tan (/ x (* y 2.0)))

rewrite11.0ms

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)))

series96.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
8.0ms	(sin (/ x (* y 2.0)))
37.0ms	(tan (/ x (* y 2.0)))

simplify64.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 1 (7.0ms)

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

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	41	11	52
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	42	11	53

Merged error: 26.1b

Counts

53 → 11

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

prune25.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	10	10
Picked	1	1
Done	0	0
Total	11	11

Merged error: 26.1b

Counts

11 → 11

localize15.0ms

Local error

Found 4 expressions with local error:

28.1b	(sin (/ x (* y 2.0)))
28.8b	(tan (/ x (* y 2.0)))
28.8b	(tan (/ x (* y 2.0)))
28.8b	(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)))

series113.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(sin (/ x (* y 2.0)))
34.0ms	(tan (/ x (* y 2.0)))
37.0ms	(tan (/ x (* y 2.0)))
35.0ms	(tan (/ x (* y 2.0)))

simplify70.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 1 (4.0ms)

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

prune170.0ms

Filtered

43 candidates to 39 candidates (90.7%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	41	2	43
Fresh	1	8	9
Picked	0	1	1
Done	0	1	1
Total	42	12	54

Merged error: 26.0b

Counts

54 → 12

localize19.0ms

Local error

Found 4 expressions with local error:

28.1b	(sin (/ x (* y 2.0)))
28.8b	(tan (/ x (* y 2.0)))
28.8b	(tan (/ x (* y 2.0)))
28.8b	(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)))
34.0ms	(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

prune156.0ms

Filtered

43 candidates to 39 candidates (90.7%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	40	3	43
Fresh	0	9	9
Picked	1	0	1
Done	0	2	2
Total	41	14	55

Merged error: 26.0b

Counts

55 → 14

regimes267.0ms

Accuracy

0% (2.5b remaining)

Error of 28.2b against oracle of 25.7b and baseline of 28.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	0

end0.0ms

sample2.1s

Algorithm

intervals

Results

633.0ms	681×	body	2560	valid
596.0ms	1317×	body	1280	valid
267.0ms	944×	body	640	valid
248.0ms	4148×	body	80	valid
116.0ms	582×	body	320	valid
50.0ms	328×	body	160	valid

Details

sample69.0ms

simplify5.0ms

prune2.0ms

localize14.0ms

rewrite11.0ms

series96.0ms

simplify64.0ms

prune161.0ms

localize0.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune25.0ms

localize15.0ms

rewrite9.0ms

series113.0ms

simplify70.0ms

prune170.0ms

localize19.0ms

rewrite9.0ms

series115.0ms

simplify50.0ms

prune156.0ms

regimes267.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.1s

Profiling