Details

sample104.0ms

Algorithm

intervals

Results

35.0ms	46×	body	1280	valid
25.0ms	19×	body	2560	valid
14.0ms	133×	body	80	valid
12.0ms	30×	body	640	valid
5.0ms	16×	body	320	valid
3.0ms	12×	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: 34.3b

localize10.0ms

Local error

Found 3 expressions with local error:

6.7b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
27.7b	(sin (/ x (* y 2.0)))
28.0b	(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)))

series83.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
8.0ms	(sin (/ x (* y 2.0)))
36.0ms	(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

prune161.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 25.2b

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: 25.2b

localize15.0ms

Local error

Found 4 expressions with local error:

27.7b	(sin (/ x (* y 2.0)))
28.0b	(tan (/ x (* y 2.0)))
28.0b	(tan (/ x (* y 2.0)))
28.0b	(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)))

series118.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(sin (/ x (* y 2.0)))
35.0ms	(tan (/ x (* y 2.0)))
35.0ms	(tan (/ x (* y 2.0)))
38.0ms	(tan (/ x (* y 2.0)))

simplify49.0ms

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

prune161.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 25.2b

localize20.0ms

Local error

Found 4 expressions with local error:

27.7b	(sin (/ x (* y 2.0)))
28.0b	(tan (/ x (* y 2.0)))
28.0b	(tan (/ x (* y 2.0)))
28.0b	(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:

8.0ms	(sin (/ x (* y 2.0)))
35.0ms	(tan (/ x (* y 2.0)))
39.0ms	(tan (/ x (* y 2.0)))
36.0ms	(tan (/ x (* y 2.0)))

simplify48.0ms

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

prune157.0ms

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 25.2b

regimes289.0ms

Accuracy

0% (2.4b remaining)

Error of 27.9b against oracle of 25.5b and baseline of 27.9b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	0

end0.0ms

sample3.1s

Algorithm

intervals

Results

910.0ms	658×	body	2560	valid
899.0ms	1297×	body	1280	valid
448.0ms	4180×	body	80	valid
425.0ms	1000×	body	640	valid
174.0ms	572×	body	320	valid
73.0ms	293×	body	160	valid