Details

sample110.0ms

Algorithm

intervals

Results

41.0ms	29×	body	2560	valid
33.0ms	56×	body	1280	valid
12.0ms	35×	body	640	valid
8.0ms	114×	body	80	valid
3.0ms	15×	body	320	valid
1.0ms	7×	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: 39.8b

localize11.0ms

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)))

rewrite9.0ms

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` `expm1-log1p-u` `associate-/r` `log1p-expm1-u` `associate-/l` `add-log-exp`
2×	`tan-quot`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv` `associate-/l/`

Counts

3 → 49

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)))

series93.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
13.0ms	(sin (/ x (* y 2.0)))
39.0ms	(tan (/ x (* y 2.0)))

simplify58.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	146	485
1	433	441
2	1789	441
3	5001	441

prune213.0ms

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 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune33.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 30.0b

localize20.0ms

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)))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`tan-quot`

Counts

4 → 39

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)))

series133.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(sin (/ x (* y 2.0)))
40.0ms	(tan (/ x (* y 2.0)))
42.0ms	(tan (/ x (* y 2.0)))
42.0ms	(tan (/ x (* y 2.0)))

simplify55.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	61	250
1	131	222
2	445	222
3	1995	222
4	5001	222

prune265.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 29.9b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`tan-quot`

Counts

4 → 38

Calls

4 calls:

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

series101.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(sin (/ x (* y 2.0)))
9.0ms	(sin (/ x (* y 2.0)))
39.0ms	(tan (/ x (* y 2.0)))
43.0ms	(tan (/ x (* y 2.0)))

simplify60.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	61	236
1	131	208
2	445	208
3	1995	208
4	5001	208

prune240.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 29.9b

regimes353.0ms

Accuracy

0% (2.5b remaining)

Error of 28.7b against oracle of 26.3b 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

sample3.0s

Algorithm

intervals

Results

1.1s	673×	body	2560	valid
852.0ms	1420×	body	1280	valid
340.0ms	965×	body	640	valid
306.0ms	4071×	body	80	valid
145.0ms	558×	body	320	valid
58.0ms	313×	body	160	valid