Details

sample62.0ms

Algorithm

intervals

Results

17.0ms	20×	body	2560	valid
16.0ms	39×	body	1280	valid
8.0ms	33×	body	640	valid
7.0ms	139×	body	80	valid
3.0ms	14×	body	320	valid
1.0ms	11×	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: 35.0b

Counts

2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ x (* y 2.0))
7.9b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
26.9b	(sin (/ x (* y 2.0)))
27.0b	(tan (/ x (* y 2.0)))

rewrite16.0ms

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:

5.0ms	(/ x (* y 2.0))
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)))

series104.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(/ x (* y 2.0))
36.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
8.0ms	(sin (/ x (* y 2.0)))
41.0ms	(tan (/ x (* y 2.0)))

simplify97.0ms

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

prune223.0ms

Filtered

76 candidates to 61 candidates (80.3%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	58	18	76
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	59	18	77

Merged error: 23.8b

Counts

77 → 18

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

prune40.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	17	17
Picked	1	1
Done	0	0
Total	18	18

Merged error: 23.8b

Counts

18 → 18

localize18.0ms

Local error

Found 4 expressions with local error:

26.9b	(sin (/ x (* y 2.0)))
27.0b	(tan (/ x (* y 2.0)))
27.0b	(tan (/ x (* y 2.0)))
27.0b	(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)))

series119.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(sin (/ x (* y 2.0)))
39.0ms	(tan (/ x (* y 2.0)))
34.0ms	(tan (/ x (* y 2.0)))
38.0ms	(tan (/ x (* y 2.0)))

simplify47.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	56	224
1	123	196
2	434	196
3	1952	196
4	5001	196

prune197.0ms

Filtered

43 candidates to 39 candidates (90.7%)

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	39	4	43
Fresh	2	14	16
Picked	1	0	1
Done	0	1	1
Total	42	19	61

Merged error: 23.8b

Counts

61 → 19

localize14.0ms

Local error

Found 4 expressions with local error:

26.9b	(sin (/ x (* y 2.0)))
27.0b	(tan (/ x (* y 2.0)))
27.0b	(tan (/ x (* y 2.0)))
27.0b	(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)))

series117.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(sin (/ x (* y 2.0)))
38.0ms	(tan (/ x (* y 2.0)))
34.0ms	(tan (/ x (* y 2.0)))
38.0ms	(tan (/ x (* y 2.0)))

simplify47.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	56	224
1	123	196
2	434	196
3	1952	196
4	5001	196

prune140.0ms

Filtered

43 candidates to 39 candidates (90.7%)

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	40	3	43
Fresh	1	16	17
Picked	1	0	1
Done	0	1	1
Total	42	20	62

Merged error: 23.8b

Counts

62 → 20

regimes293.0ms

Accuracy

18.8% (2.7b remaining)

Error of 28.4b against oracle of 25.7b and baseline of 29.0b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	13
1	22	13

end0.0ms

sample1.9s

Algorithm

intervals

Results

606.0ms	1470×	body	1280	valid
551.0ms	627×	body	2560	valid
238.0ms	938×	body	640	valid
215.0ms	4052×	body	80	valid
110.0ms	578×	body	320	valid
46.0ms	335×	body	160	valid