Details

sample63.0ms

Algorithm

intervals

Results

20.0ms	49×	body	1280	valid
15.0ms	18×	body	2560	valid
7.0ms	136×	body	80	valid
7.0ms	27×	body	640	valid
3.0ms	18×	body	320	valid
1.0ms	8×	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

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: 35.9b

Counts

2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ x (* y 2.0))
8.4b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
27.0b	(sin (/ x (* y 2.0)))
27.4b	(tan (/ x (* y 2.0)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`times-frac`
11×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/l*`
4×	`pow1` `associate-/r*` `add-log-exp`
3×	`cbrt-undiv` `div-exp`
2×	`tan-quot` `frac-2neg` `clear-num` `div-inv`
1×	`prod-exp` `cbrt-unprod` `associate-/l/`

Counts

4 → 64

Calls

4 calls:

4.0ms	(/ x (* y 2.0))
9.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
2.0ms	(sin (/ x (* y 2.0)))
2.0ms	(tan (/ x (* y 2.0)))

series103.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(/ x (* y 2.0))
36.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
8.0ms	(sin (/ x (* y 2.0)))
36.0ms	(tan (/ x (* y 2.0)))

simplify100.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	229	540
1	840	484
2	4370	484
3	5002	484

prune238.0ms

Filtered

76 candidates to 61 candidates (80.3%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	56	20	76
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	57	20	77

Merged error: 24.1b

Counts

77 → 20

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

prune45.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	19	19
Picked	1	1
Done	0	0
Total	20	20

Merged error: 24.1b

Counts

20 → 20

localize11.0ms

Local error

Found 4 expressions with local error:

8.4b	(/ (/ (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))) (sin (/ x (* y 2.0))))
27.0b	(sin (/ x (* y 2.0)))
27.0b	(sin (/ x (* y 2.0)))
27.1b	(cos (/ x (* y 2.0)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

75×	`times-frac`
46×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
13×	`associate-/l*`
9×	`add-exp-log` `add-cbrt-cube`
5×	`div-inv`
4×	`pow1` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `associate-/r*`
1×	`frac-2neg` `clear-num` `associate-/l/`

Counts

4 → 91

Calls

4 calls:

9.0ms	(/ (/ (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))) (sin (/ x (* y 2.0))))
2.0ms	(sin (/ x (* y 2.0)))
2.0ms	(sin (/ x (* y 2.0)))
2.0ms	(cos (/ x (* y 2.0)))

series47.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(/ (/ (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))) (sin (/ x (* y 2.0))))
8.0ms	(sin (/ x (* y 2.0)))
8.0ms	(sin (/ x (* y 2.0)))
11.0ms	(cos (/ x (* y 2.0)))

simplify54.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	351	1606
1	1470	1336
2	5003	1259

prune290.0ms

Filtered

103 candidates to 83 candidates (80.6%)

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	93	10	103
Fresh	9	9	18
Picked	1	0	1
Done	0	1	1
Total	103	20	123

Merged error: 24.1b

Counts

123 → 20

localize15.0ms

Local error

Found 4 expressions with local error:

27.0b	(sin (/ x (* y 2.0)))
27.4b	(tan (/ x (* y 2.0)))
27.4b	(tan (/ x (* y 2.0)))
27.4b	(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)))

series116.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(sin (/ x (* y 2.0)))
36.0ms	(tan (/ x (* y 2.0)))
37.0ms	(tan (/ x (* y 2.0)))
36.0ms	(tan (/ x (* y 2.0)))

simplify50.0ms

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

prune144.0ms

Filtered

43 candidates to 39 candidates (90.7%)

Pruning

20 alts after pruning (18 fresh and 2 done)

	Pruned	Kept	Total
New	42	1	43
Fresh	1	17	18
Picked	0	1	1
Done	0	1	1
Total	43	20	63

Merged error: 24.1b

Counts

63 → 20

regimes345.0ms

Accuracy

0% (3.1b remaining)

Error of 28.3b against oracle of 25.2b 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

sample1.9s

Algorithm

intervals

Results

590.0ms	1398×	body	1280	valid
563.0ms	645×	body	2560	valid
243.0ms	970×	body	640	valid
231.0ms	4145×	body	80	valid
108.0ms	575×	body	320	valid
38.0ms	267×	body	160	valid