Details

sample87.0ms

Algorithm

intervals

Results

28.0ms	49×	body	1280	valid
21.0ms	17×	body	2560	valid
13.0ms	38×	body	640	valid
8.0ms	115×	body	80	valid
6.0ms	24×	body	320	valid
2.0ms	13×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	7
1	13	7
2	13	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 36.7b

localize10.0ms

Local error

Found 3 expressions with local error:

5.5b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
31.6b	(sin (/ x (* y 2.0)))
32.1b	(tan (/ x (* y 2.0)))

rewrite8.0ms

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:

4.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
2.0ms	(sin (/ x (* y 2.0)))
1.0ms	(tan (/ x (* y 2.0)))

series84.0ms

Counts

3 → 9

Calls

3 calls:

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)))

simplify53.0ms

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

prune166.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 28.7b

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

prune24.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 28.7b

localize24.0ms

Local error

Found 4 expressions with local error:

31.6b	(sin (/ x (* y 2.0)))
32.1b	(tan (/ x (* y 2.0)))
32.1b	(tan (/ x (* y 2.0)))
32.1b	(tan (/ x (* y 2.0)))

rewrite6.0ms

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)))
1.0ms	(tan (/ x (* y 2.0)))
1.0ms	(tan (/ x (* y 2.0)))
1.0ms	(tan (/ x (* y 2.0)))

series117.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(sin (/ x (* y 2.0)))
39.0ms	(tan (/ x (* y 2.0)))
35.0ms	(tan (/ x (* y 2.0)))
35.0ms	(tan (/ x (* y 2.0)))

simplify50.0ms

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

prune206.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 28.7b

localize15.0ms

Local error

Found 4 expressions with local error:

31.6b	(sin (/ x (* y 2.0)))
32.1b	(tan (/ x (* y 2.0)))
32.1b	(tan (/ x (* y 2.0)))
32.1b	(tan (/ x (* y 2.0)))

rewrite5.0ms

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)))
1.0ms	(tan (/ x (* y 2.0)))
1.0ms	(tan (/ x (* y 2.0)))
1.0ms	(tan (/ x (* y 2.0)))

series122.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(sin (/ x (* y 2.0)))
40.0ms	(tan (/ x (* y 2.0)))
34.0ms	(tan (/ x (* y 2.0)))
40.0ms	(tan (/ x (* y 2.0)))

simplify50.0ms

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

prune146.0ms

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 28.7b

regimes309.0ms

Accuracy

39.2% (1.5b remaining)

Error of 27.4b against oracle of 25.9b and baseline of 28.3b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	33
1	17	33

end0.0ms

sample2.6s

Algorithm

intervals

Results

836.0ms	1386×	body	1280	valid
803.0ms	632×	body	2560	valid
327.0ms	954×	body	640	valid
307.0ms	4116×	body	80	valid
137.0ms	581×	body	320	valid
59.0ms	331×	body	160	valid