Details

analyze736.0ms

Algorithm: search

sample84.0ms

Algorithm

intervals

Results

22.0ms	46×	body	1280	valid
22.0ms	23×	body	2560	valid
13.0ms	41×	body	640	valid
12.0ms	128×	body	80	valid
3.0ms	13×	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

prune3.0ms

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

localize10.0ms

Local error

Found 3 expressions with local error:

6.2b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
29.5b	(sin (/ x (* y 2.0)))
29.9b	(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)))

series32.0ms

Counts

3 → 9

Calls

3 calls:

16.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
3.0ms	(sin (/ x (* y 2.0)))
13.0ms	(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

prune185.0ms

Filtered

44 candidates to 52 candidates (-18.2%)

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: 26.9b

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

prune59.0ms

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: 26.9b

Counts

16 → 16

localize15.0ms

Local error

Found 4 expressions with local error:

29.5b	(sin (/ x (* y 2.0)))
29.9b	(tan (/ x (* y 2.0)))
29.9b	(tan (/ x (* y 2.0)))
29.9b	(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)))

series41.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(sin (/ x (* y 2.0)))
12.0ms	(tan (/ x (* y 2.0)))
13.0ms	(tan (/ x (* y 2.0)))
13.0ms	(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

prune211.0ms

Filtered

39 candidates to 43 candidates (-10.3%)

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	41	2	43
Fresh	1	13	14
Picked	0	1	1
Done	0	1	1
Total	42	17	59

Merged error: 26.9b

Counts

59 → 17

localize21.0ms

Local error

Found 4 expressions with local error:

29.5b	(sin (/ x (* y 2.0)))
29.9b	(tan (/ x (* y 2.0)))
29.9b	(tan (/ x (* y 2.0)))
29.9b	(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)))

series41.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(sin (/ x (* y 2.0)))
12.0ms	(tan (/ x (* y 2.0)))
12.0ms	(tan (/ x (* y 2.0)))
13.0ms	(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

prune177.0ms

Filtered

39 candidates to 43 candidates (-10.3%)

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	41	2	43
Fresh	1	13	14
Picked	1	0	1
Done	0	2	2
Total	43	17	60

Merged error: 26.9b

Counts

60 → 17

regimes560.0ms

Accuracy

40.6% (1.5b remaining)

Error of 27.9b against oracle of 26.4b and baseline of 28.9b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	33
1	17	33

end0.0ms

analyze734.0ms

Algorithm: search

sample2.6s

Algorithm

intervals

Results

737.0ms	1380×	body	1280	valid
665.0ms	645×	body	2560	valid
518.0ms	4054×	body	80	valid
338.0ms	1019×	body	640	valid
145.0ms	596×	body	320	valid
56.0ms	306×	body	160	valid

Details

analyze736.0ms

sample84.0ms

simplify5.0ms

prune3.0ms

localize10.0ms

rewrite10.0ms

series32.0ms

simplify50.0ms

prune185.0ms

localize0.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune59.0ms

localize15.0ms

rewrite9.0ms

series41.0ms

simplify49.0ms

prune211.0ms

localize21.0ms

rewrite9.0ms

series41.0ms

simplify49.0ms

prune177.0ms

regimes560.0ms

bsearch1.0ms

simplify2.0ms

end0.0ms

analyze734.0ms

sample2.6s

Profiling