Details

sample62.0ms

Algorithm

intervals

Results

18.0ms	22×	body	2560	valid
17.0ms	42×	body	1280	valid
8.0ms	145×	body	80	valid
6.0ms	26×	body	640	valid
2.0ms	12×	body	160	valid
2.0ms	9×	body	320	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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.7b

localize9.0ms

Local error

Found 3 expressions with local error:

7.2b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
25.1b	(sin (/ x (* y 2.0)))
25.6b	(tan (/ x (* y 2.0)))

rewrite10.0ms

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:

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)))

series82.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
7.0ms	(sin (/ x (* y 2.0)))
40.0ms	(tan (/ x (* y 2.0)))

simplify54.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	138	457
1	421	413
2	1765	413
3	5001	413

prune175.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 23.6b

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

prune38.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 23.6b

localize15.0ms

Local error

Found 4 expressions with local error:

25.1b	(sin (/ x (* y 2.0)))
25.6b	(tan (/ x (* y 2.0)))
25.6b	(tan (/ x (* y 2.0)))
25.6b	(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)))

series123.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(sin (/ x (* y 2.0)))
37.0ms	(tan (/ x (* y 2.0)))
41.0ms	(tan (/ x (* y 2.0)))
37.0ms	(tan (/ x (* y 2.0)))

simplify66.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 1 (6.0ms)

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

prune195.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 23.5b

localize24.0ms

Local error

Found 4 expressions with local error:

25.1b	(sin (/ x (* y 2.0)))
25.4b	(cos (/ x (* y 2.0)))
25.6b	(tan (/ x (* y 2.0)))
25.6b	(tan (/ x (* y 2.0)))

rewrite10.0ms

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:

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

series93.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(sin (/ x (* y 2.0)))
11.0ms	(cos (/ x (* y 2.0)))
39.0ms	(tan (/ x (* y 2.0)))
35.0ms	(tan (/ x (* y 2.0)))

simplify35.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	82	214
1	211	186
2	831	186
3	5001	186

prune177.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 23.5b

regimes378.0ms

Accuracy

22% (2.0b remaining)

Error of 28.1b against oracle of 26.1b and baseline of 28.6b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	28	38
1	28	38

end0.0ms

sample2.0s

Algorithm

intervals

Results

593.0ms	669×	body	2560	valid
578.0ms	1386×	body	1280	valid
245.0ms	958×	body	640	valid
214.0ms	4085×	body	80	valid
102.0ms	571×	body	320	valid
47.0ms	331×	body	160	valid