Details

sample94.0ms

Algorithm

intervals

Results

31.0ms	45×	body	1280	valid
17.0ms	13×	body	2560	valid
16.0ms	147×	body	80	valid
15.0ms	34×	body	640	valid
4.0ms	13×	body	320	valid
1.0ms	4×	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: 34.1b

localize9.0ms

Local error

Found 3 expressions with local error:

8.4b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
25.2b	(sin (/ x (* y 2.0)))
25.6b	(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)))

series86.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify55.0ms

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

prune156.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 23.2b

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

prune22.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 23.2b

localize14.0ms

Local error

Found 4 expressions with local error:

25.2b	(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)))

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)))

series116.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(sin (/ x (* y 2.0)))
37.0ms	(tan (/ x (* y 2.0)))
35.0ms	(tan (/ x (* y 2.0)))
37.0ms	(tan (/ x (* y 2.0)))

simplify52.0ms

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

prune175.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 23.2b

localize17.0ms

Local error

Found 4 expressions with local error:

25.2b	(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)))

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)))

series121.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(sin (/ x (* y 2.0)))
35.0ms	(tan (/ x (* y 2.0)))
41.0ms	(tan (/ x (* y 2.0)))
37.0ms	(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

prune161.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 23.2b

regimes285.0ms

Accuracy

0% (2.5b remaining)

Error of 28.5b against oracle of 26.0b and baseline of 28.5b

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

945.0ms	1391×	body	1280	valid
944.0ms	670×	body	2560	valid
424.0ms	1003×	body	640	valid
381.0ms	4104×	body	80	valid
158.0ms	542×	body	320	valid
65.0ms	290×	body	160	valid