Details

sample71.0ms

Algorithm

intervals

Results

22.0ms	24×	body	2560	valid
15.0ms	37×	body	1280	valid
8.0ms	30×	body	640	valid
8.0ms	141×	body	80	valid
2.0ms	13×	body	320	valid
2.0ms	11×	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

prune4.0ms

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: 30.2b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

3.8b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
26.0b	(sin (/ x (* y 2.0)))
26.5b	(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)))

series87.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
8.0ms	(sin (/ x (* y 2.0)))
43.0ms	(tan (/ x (* y 2.0)))

simplify51.0ms

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

prune179.0ms

Filtered

52 candidates to 44 candidates (15.4%)

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: 24.6b

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

prune42.0ms

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: 24.6b

Counts

12 → 12

localize14.0ms

Local error

Found 4 expressions with local error:

26.0b	(sin (/ x (* y 2.0)))
26.5b	(tan (/ x (* y 2.0)))
26.5b	(tan (/ x (* y 2.0)))
26.5b	(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`
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)))

series131.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(sin (/ x (* y 2.0)))
41.0ms	(tan (/ x (* y 2.0)))
40.0ms	(tan (/ x (* y 2.0)))
42.0ms	(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

prune178.0ms

Filtered

43 candidates to 39 candidates (9.3%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	40	3	43
Fresh	1	9	10
Picked	1	0	1
Done	0	1	1
Total	42	13	55

Merged error: 24.5b

Counts

55 → 13

localize17.0ms

Local error

Found 4 expressions with local error:

26.0b	(sin (/ x (* y 2.0)))
26.5b	(tan (/ x (* y 2.0)))
26.5b	(tan (/ x (* y 2.0)))
26.5b	(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`
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)))

series128.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(sin (/ x (* y 2.0)))
38.0ms	(tan (/ x (* y 2.0)))
41.0ms	(tan (/ x (* y 2.0)))
38.0ms	(tan (/ x (* y 2.0)))

simplify48.0ms

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

prune145.0ms

Filtered

43 candidates to 39 candidates (9.3%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	41	2	43
Fresh	0	11	11
Picked	1	0	1
Done	0	1	1
Total	42	14	56

Merged error: 24.5b

Counts

56 → 14

regimes354.0ms

Accuracy

0% (2.4b remaining)

Error of 28.3b against oracle of 25.9b and baseline of 28.3b

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

584.0ms	1357×	body	1280	valid
562.0ms	635×	body	2560	valid
269.0ms	1037×	body	640	valid
223.0ms	4114×	body	80	valid
103.0ms	557×	body	320	valid
43.0ms	300×	body	160	valid

Details

sample71.0ms

simplify4.0ms

prune4.0ms

localize9.0ms

rewrite10.0ms

series87.0ms

simplify51.0ms

prune179.0ms

localize0.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune42.0ms

localize14.0ms

rewrite9.0ms

series131.0ms

simplify50.0ms

prune178.0ms

localize17.0ms

rewrite9.0ms

series128.0ms

simplify48.0ms

prune145.0ms

regimes354.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.0s

Profiling