Details

sample67.0ms

Algorithm

intervals

Results

21.0ms	49×	body	1280	valid
16.0ms	18×	body	2560	valid
8.0ms	136×	body	80	valid
7.0ms	27×	body	640	valid
3.0ms	18×	body	320	valid
1.0ms	8×	body	160	valid

simplify8.0ms

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 (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)))

rewrite21.0ms

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` `expm1-log1p-u` `associate-/r*` `log1p-expm1-u` `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 → 72

Calls

4 calls:

9.0ms	(/ x (* y 2.0))
6.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
2.0ms	(sin (/ x (* y 2.0)))
2.0ms	(tan (/ x (* y 2.0)))

series121.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(/ x (* y 2.0))
42.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
9.0ms	(sin (/ x (* y 2.0)))
44.0ms	(tan (/ x (* y 2.0)))

simplify117.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	239	574
1	856	518
2	4398	518
3	5001	518

prune359.0ms

Filtered

84 candidates to 69 candidates (82.1%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	61	23	84
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	62	23	85

Merged error: 24.1b

Counts

85 → 23

localize1.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify5.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	0	0

prune69.0ms

Pruning

23 alts after pruning (22 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	22	22
Picked	1	1
Done	0	0
Total	23	23

Merged error: 24.1b

Counts

23 → 23

localize12.0ms

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)))

rewrite24.0ms

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` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `associate-/r*`
1×	`frac-2neg` `clear-num` `associate-/l/`

Counts

4 → 99

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)))
3.0ms	(cos (/ x (* y 2.0)))

series54.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(/ (/ (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))) (sin (/ x (* y 2.0))))
9.0ms	(sin (/ x (* y 2.0)))
9.0ms	(sin (/ x (* y 2.0)))
13.0ms	(cos (/ x (* y 2.0)))

simplify61.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	358	1652
1	1480	1382
2	5001	1333

prune415.0ms

Filtered

111 candidates to 94 candidates (84.7%)

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	101	10	111
Fresh	11	10	21
Picked	1	0	1
Done	0	1	1
Total	113	21	134

Merged error: 24.1b

Counts

134 → 21

localize16.0ms

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)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`tan-quot`

Counts

4 → 39

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)))

series138.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(sin (/ x (* y 2.0)))
41.0ms	(tan (/ x (* y 2.0)))
41.0ms	(tan (/ x (* y 2.0)))
46.0ms	(tan (/ x (* y 2.0)))

simplify67.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	61	250
1	131	222
2	445	222
3	1995	222
4	5001	222

prune208.0ms

Filtered

51 candidates to 47 candidates (92.2%)

Pruning

21 alts after pruning (19 fresh and 2 done)

	Pruned	Kept	Total
New	50	1	51
Fresh	1	18	19
Picked	0	1	1
Done	0	1	1
Total	51	21	72

Merged error: 24.1b

Counts

72 → 21

regimes418.0ms

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

sample2.0s

Algorithm

intervals

Results

596.0ms	1398×	body	1280	valid
574.0ms	645×	body	2560	valid
253.0ms	970×	body	640	valid
237.0ms	4145×	body	80	valid
122.0ms	575×	body	320	valid
38.0ms	267×	body	160	valid