Details

sample81.0ms

Algorithm

intervals

Results

26.0ms	53×	body	1280	valid
22.0ms	23×	body	2560	valid
9.0ms	31×	body	640	valid
7.0ms	117×	body	80	valid
4.0ms	19×	body	320	valid
2.0ms	13×	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: 37.6b

Counts

2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

6.3b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
31.7b	(sin (/ x (* y 2.0)))
32.3b	(tan (/ x (* y 2.0)))

rewrite12.0ms

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

Counts

3 → 49

Calls

3 calls:

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)))

series100.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
15.0ms	(sin (/ x (* y 2.0)))
43.0ms	(tan (/ x (* y 2.0)))

simplify71.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	146	485
1	433	441
2	1789	441
3	5001	441

prune224.0ms

Filtered

58 candidates to 50 candidates (86.2%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	44	14	58
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	45	14	59

Merged error: 29.0b

Counts

59 → 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

prune36.0ms

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: 29.0b

Counts

14 → 14

localize20.0ms

Local error

Found 4 expressions with local error:

31.7b	(sin (/ x (* y 2.0)))
32.3b	(tan (/ x (* y 2.0)))
32.3b	(tan (/ x (* y 2.0)))
32.3b	(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)))
3.0ms	(tan (/ x (* y 2.0)))

series138.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(sin (/ x (* y 2.0)))
41.0ms	(tan (/ x (* y 2.0)))
45.0ms	(tan (/ x (* y 2.0)))
42.0ms	(tan (/ x (* y 2.0)))

simplify67.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 1 (6.0ms)

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

prune240.0ms

Filtered

51 candidates to 47 candidates (92.2%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	48	3	51
Fresh	2	10	12
Picked	1	0	1
Done	0	1	1
Total	51	14	65

Merged error: 28.9b

Counts

65 → 14

localize20.0ms

Local error

Found 4 expressions with local error:

31.7b	(sin (/ x (* y 2.0)))
32.3b	(tan (/ x (* y 2.0)))
32.3b	(tan (/ x (* y 2.0)))
32.3b	(tan (/ x (* y 2.0)))

rewrite11.0ms

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

series141.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(sin (/ x (* y 2.0)))
47.0ms	(tan (/ x (* y 2.0)))
42.0ms	(tan (/ x (* y 2.0)))
42.0ms	(tan (/ x (* y 2.0)))

simplify67.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 1 (6.0ms)

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

prune182.0ms

Filtered

51 candidates to 47 candidates (92.2%)

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	49	2	51
Fresh	0	12	12
Picked	0	1	1
Done	0	1	1
Total	49	16	65

Merged error: 28.9b

Counts

65 → 16

regimes331.0ms

Accuracy

0% (2.4b remaining)

Error of 28.3b against oracle of 25.9b 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

sample2.1s

Algorithm

intervals

Results

629.0ms	1374×	body	1280	valid
575.0ms	612×	body	2560	valid
286.0ms	1011×	body	640	valid
270.0ms	4110×	body	80	valid
117.0ms	586×	body	320	valid
48.0ms	307×	body	160	valid