Details

sample63.0ms

Algorithm

intervals

Results

19.0ms	47×	body	1280	valid
14.0ms	17×	body	2560	valid
9.0ms	37×	body	640	valid
7.0ms	133×	body	80	valid
3.0ms	15×	body	320	valid
1.0ms	7×	body	160	valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	11	7
1	13	7
2	13	7

prune3.0ms

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: 34.1b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

5.5b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
27.9b	(sin (/ x (* y 2.0)))
28.6b	(tan (/ x (* y 2.0)))

rewrite35.0ms

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:

16.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
11.0ms	(sin (/ x (* y 2.0)))
7.0ms	(tan (/ x (* y 2.0)))

series95.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
9.0ms	(sin (/ x (* y 2.0)))
41.0ms	(tan (/ x (* y 2.0)))

simplify63.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	136	457
1	402	413
2	1635	413
3	5001	413

prune143.0ms

Filtered

52 candidates to 44 candidates (15.4%)

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: 26.1b

Counts

53 → 14

localize0.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify3.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune37.0ms

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: 26.1b

Counts

14 → 14

localize18.0ms

Local error

Found 4 expressions with local error:

27.9b	(sin (/ x (* y 2.0)))
28.6b	(tan (/ x (* y 2.0)))
28.6b	(tan (/ x (* y 2.0)))
28.6b	(tan (/ x (* y 2.0)))

rewrite30.0ms

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:

8.0ms	(sin (/ x (* y 2.0)))
7.0ms	(tan (/ x (* y 2.0)))
7.0ms	(tan (/ x (* y 2.0)))
7.0ms	(tan (/ x (* y 2.0)))

series135.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(sin (/ x (* y 2.0)))
44.0ms	(tan (/ x (* y 2.0)))
40.0ms	(tan (/ x (* y 2.0)))
43.0ms	(tan (/ x (* y 2.0)))

simplify59.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	54	224
1	107	196
2	357	196
3	1701	196
4	5001	196

prune187.0ms

Filtered

43 candidates to 39 candidates (9.3%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	38	5	43
Fresh	2	10	12
Picked	1	0	1
Done	0	1	1
Total	41	16	57

Merged error: 26.0b

Counts

57 → 16

localize23.0ms

Local error

Found 4 expressions with local error:

27.9b	(sin (/ x (* y 2.0)))
27.9b	(sin (/ x (* y 2.0)))
28.6b	(tan (/ x (* y 2.0)))
28.6b	(tan (/ x (* y 2.0)))

rewrite30.0ms

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:

7.0ms	(sin (/ x (* y 2.0)))
8.0ms	(sin (/ x (* y 2.0)))
7.0ms	(tan (/ x (* y 2.0)))
8.0ms	(tan (/ x (* y 2.0)))

series101.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(sin (/ x (* y 2.0)))
9.0ms	(sin (/ x (* y 2.0)))
39.0ms	(tan (/ x (* y 2.0)))
44.0ms	(tan (/ x (* y 2.0)))

simplify57.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	54	208
1	107	180
2	357	180
3	1701	180
4	5001	180

prune164.0ms

Filtered

42 candidates to 38 candidates (9.5%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	38	4	42
Fresh	3	11	14
Picked	1	0	1
Done	0	1	1
Total	42	16	58

Merged error: 26.0b

Counts

58 → 16

regimes348.0ms

Accuracy

0% (2.6b remaining)

Error of 28.5b against oracle of 25.9b and baseline of 28.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	0

end0.0ms

sample1.9s

Algorithm

intervals

Results

580.0ms	1419×	body	1280	valid
550.0ms	617×	body	2560	valid
236.0ms	951×	body	640	valid
221.0ms	4131×	body	80	valid
104.0ms	572×	body	320	valid
42.0ms	310×	body	160	valid