Details

sample109.0ms

Algorithm

intervals

Results

37.0ms	29×	body	2560	valid
33.0ms	56×	body	1280	valid
16.0ms	35×	body	640	valid
8.0ms	114×	body	80	valid
4.0ms	15×	body	320	valid
1.0ms	7×	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: 39.8b

localize10.0ms

Local error

Found 3 expressions with local error:

7.2b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
32.4b	(sin (/ x (* y 2.0)))
32.8b	(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)))

series80.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
8.0ms	(sin (/ x (* y 2.0)))
35.0ms	(tan (/ x (* y 2.0)))

simplify50.0ms

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

prune177.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 30.0b

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 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune27.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 30.0b

localize12.0ms

Local error

Found 4 expressions with local error:

7.2b	(/ (sin (/ x (* y 2.0))) (* (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))))
32.2b	(cos (/ x (* y 2.0)))
32.4b	(sin (/ x (* y 2.0)))
32.4b	(sin (/ x (* y 2.0)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-exp-log` `add-cbrt-cube`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-log-exp`
3×	`times-frac` `associate-/l*`
2×	`cbrt-undiv` `div-exp`
1×	`frac-2neg` `prod-exp` `clear-num` `associate-/r*` `associate-/r/` `sin-cos-mult` `cbrt-unprod` `div-inv`

Counts

4 → 43

Calls

4 calls:

10.0ms	(/ (sin (/ x (* y 2.0))) (* (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))))
2.0ms	(cos (/ x (* y 2.0)))
2.0ms	(sin (/ x (* y 2.0)))
2.0ms	(sin (/ x (* y 2.0)))

series49.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(/ (sin (/ x (* y 2.0))) (* (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))))
13.0ms	(cos (/ x (* y 2.0)))
8.0ms	(sin (/ x (* y 2.0)))
8.0ms	(sin (/ x (* y 2.0)))

simplify74.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 3 (69.0ms)

Iter	Nodes	Cost
0	147	493
1	478	347
2	2436	345
3	5001	339

prune162.0ms

Pruning

19 alts after pruning (17 fresh and 2 done)

Merged error: 30.0b

localize18.0ms

Local error

Found 4 expressions with local error:

32.4b	(sin (/ x (* y 2.0)))
32.8b	(tan (/ x (* y 2.0)))
32.8b	(tan (/ x (* y 2.0)))
32.8b	(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)))

series115.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(sin (/ x (* y 2.0)))
35.0ms	(tan (/ x (* y 2.0)))
38.0ms	(tan (/ x (* y 2.0)))
35.0ms	(tan (/ x (* y 2.0)))

simplify49.0ms

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

prune164.0ms

Pruning

20 alts after pruning (18 fresh and 2 done)

Merged error: 29.9b

regimes390.0ms

Accuracy

0% (2.5b remaining)

Error of 28.7b against oracle of 26.2b and baseline of 28.7b

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

874.0ms	1420×	body	1280	valid
864.0ms	673×	body	2560	valid
356.0ms	965×	body	640	valid
308.0ms	4071×	body	80	valid
142.0ms	558×	body	320	valid
61.0ms	313×	body	160	valid