Details

sample67.0ms

Algorithm

intervals

Results

19.0ms	48×	body	1280	valid
17.0ms	20×	body	2560	valid
9.0ms	36×	body	640	valid
7.0ms	122×	body	80	valid
4.0ms	21×	body	320	valid
1.0ms	9×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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: 39.4b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

8.4b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
30.6b	(sin (/ x (* y 2.0)))
30.9b	(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)))

series83.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
8.0ms	(sin (/ x (* y 2.0)))
41.0ms	(tan (/ x (* y 2.0)))

simplify64.0ms

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

prune171.0ms

Filtered

52 candidates to 44 candidates (84.6%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	38	14	52
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	39	14	53

Merged error: 28.3b

Counts

53 → 14

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

prune28.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	13	13
Picked	1	1
Done	0	0
Total	14	14

Merged error: 28.3b

Counts

14 → 14

localize22.0ms

Local error

Found 4 expressions with local error:

30.6b	(sin (/ x (* y 2.0)))
30.9b	(tan (/ x (* y 2.0)))
30.9b	(tan (/ x (* y 2.0)))
30.9b	(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)))

series121.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(sin (/ x (* y 2.0)))
35.0ms	(tan (/ x (* y 2.0)))
42.0ms	(tan (/ x (* y 2.0)))
36.0ms	(tan (/ x (* y 2.0)))

simplify51.0ms

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

prune196.0ms

Filtered

43 candidates to 39 candidates (90.7%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	38	5	43
Fresh	1	11	12
Picked	1	0	1
Done	0	1	1
Total	40	17	57

Merged error: 28.2b

Counts

57 → 17

localize23.0ms

Local error

Found 4 expressions with local error:

30.6b	(sin (/ x (* y 2.0)))
30.7b	(cos (/ x (* y 2.0)))
30.9b	(tan (/ x (* y 2.0)))
30.9b	(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`
2×	`tan-quot`

Counts

4 → 30

Calls

4 calls:

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

series95.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(sin (/ x (* y 2.0)))
11.0ms	(cos (/ x (* y 2.0)))
36.0ms	(tan (/ x (* y 2.0)))
39.0ms	(tan (/ x (* y 2.0)))

simplify32.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	82	214
1	211	186
2	831	186
3	5001	186

prune179.0ms

Filtered

42 candidates to 38 candidates (90.5%)

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	39	3	42
Fresh	0	15	15
Picked	1	0	1
Done	0	1	1
Total	40	19	59

Merged error: 28.0b

Counts

59 → 19

regimes362.0ms

Accuracy

0% (2.6b remaining)

Error of 28.0b against oracle of 25.4b and baseline of 28.0b

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

619.0ms	1437×	body	1280	valid
570.0ms	626×	body	2560	valid
250.0ms	961×	body	640	valid
236.0ms	4183×	body	80	valid
94.0ms	511×	body	320	valid
41.0ms	282×	body	160	valid

Details

sample67.0ms

simplify5.0ms

prune2.0ms

localize10.0ms

rewrite10.0ms

series83.0ms

simplify64.0ms

prune171.0ms

localize0.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune28.0ms

localize22.0ms

rewrite9.0ms

series121.0ms

simplify51.0ms

prune196.0ms

localize23.0ms

rewrite9.0ms

series95.0ms

simplify32.0ms

prune179.0ms

regimes362.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.0s

Profiling