Details

sample87.0ms

Algorithm

intervals

Results

25.0ms	43×	body	1280	valid
23.0ms	17×	body	2560	valid
13.0ms	38×	body	640	valid
9.0ms	129×	body	80	valid
5.0ms	20×	body	320	valid
2.0ms	9×	body	160	valid

simplify6.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 35.4b

localize10.0ms

Local error

Found 3 expressions with local error:

6.5b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
29.0b	(sin (/ x (* y 2.0)))
29.2b	(tan (/ x (* y 2.0)))

rewrite25.0ms

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:

11.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
5.0ms	(sin (/ x (* y 2.0)))
3.0ms	(tan (/ x (* y 2.0)))

series95.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
10.0ms	(sin (/ x (* y 2.0)))
41.0ms	(tan (/ x (* y 2.0)))

simplify58.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 1 (6.0ms)

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

prune168.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 26.6b

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

prune29.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 26.6b

localize14.0ms

Local error

Found 4 expressions with local error:

29.0b	(sin (/ x (* y 2.0)))
29.2b	(tan (/ x (* y 2.0)))
29.2b	(tan (/ x (* y 2.0)))
29.2b	(tan (/ x (* y 2.0)))

rewrite16.0ms

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:

5.0ms	(sin (/ x (* y 2.0)))
3.0ms	(tan (/ x (* y 2.0)))
3.0ms	(tan (/ x (* y 2.0)))
4.0ms	(tan (/ x (* y 2.0)))

series133.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(sin (/ x (* y 2.0)))
40.0ms	(tan (/ x (* y 2.0)))
44.0ms	(tan (/ x (* y 2.0)))
39.0ms	(tan (/ x (* y 2.0)))

simplify51.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 1 (4.0ms)

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

prune184.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 26.5b

localize19.0ms

Local error

Found 4 expressions with local error:

29.0b	(sin (/ x (* y 2.0)))
29.2b	(tan (/ x (* y 2.0)))
29.2b	(tan (/ x (* y 2.0)))
29.2b	(tan (/ x (* y 2.0)))

rewrite20.0ms

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:

5.0ms	(sin (/ x (* y 2.0)))
3.0ms	(tan (/ x (* y 2.0)))
7.0ms	(tan (/ x (* y 2.0)))
3.0ms	(tan (/ x (* y 2.0)))

series137.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(sin (/ x (* y 2.0)))
46.0ms	(tan (/ x (* y 2.0)))
41.0ms	(tan (/ x (* y 2.0)))
41.0ms	(tan (/ x (* y 2.0)))

simplify55.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 1 (4.0ms)

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

prune172.0ms

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 26.5b

regimes284.0ms

Accuracy

0% (2.6b remaining)

Error of 28.4b against oracle of 25.8b and baseline of 28.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	0

end0.0ms

sample2.8s

Algorithm

intervals

Results

860.0ms	666×	body	2560	valid
826.0ms	1354×	body	1280	valid
351.0ms	1003×	body	640	valid
308.0ms	4135×	body	80	valid
130.0ms	537×	body	320	valid
56.0ms	305×	body	160	valid