Details

sample95.0ms

Algorithm

intervals

Results

30.0ms	23×	body	2560	valid
26.0ms	43×	body	1280	valid
10.0ms	134×	body	80	valid
8.0ms	23×	body	640	valid
6.0ms	23×	body	320	valid
2.0ms	10×	body	160	valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	11	7
1	13	7
2	13	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 36.3b

localize11.0ms

Local error

Found 3 expressions with local error:

8.7b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
27.3b	(sin (/ x (* y 2.0)))
27.9b	(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)))

series101.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
10.0ms	(sin (/ x (* y 2.0)))
50.0ms	(tan (/ x (* y 2.0)))

simplify63.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 1 (8.0ms)

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

prune223.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 25.1b

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

prune38.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 25.1b

localize13.0ms

Local error

Found 4 expressions with local error:

8.6b	(/ (sin (/ x (* y 2.0))) (* (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))))
27.3b	(sin (/ x (* y 2.0)))
27.3b	(sin (/ x (* y 2.0)))
27.6b	(cos (/ x (* y 2.0)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-exp-log` `add-cbrt-cube`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `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 → 51

Calls

4 calls:

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

series59.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(/ (sin (/ x (* y 2.0))) (* (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))))
9.0ms	(sin (/ x (* y 2.0)))
9.0ms	(sin (/ x (* y 2.0)))
13.0ms	(cos (/ x (* y 2.0)))

simplify90.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 3 (83.0ms)

Iter	Nodes	Cost
0	154	539
1	486	393
2	2459	391
3	5001	385

prune228.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 25.0b

localize16.0ms

Local error

Found 4 expressions with local error:

27.3b	(sin (/ x (* y 2.0)))
27.6b	(cos (/ x (* y 2.0)))
27.6b	(cos (/ x (* y 2.0)))
27.6b	(cos (/ x (* y 2.0)))

rewrite8.0ms

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`

Counts

4 → 36

Calls

4 calls:

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

series51.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(sin (/ x (* y 2.0)))
12.0ms	(cos (/ x (* y 2.0)))
12.0ms	(cos (/ x (* y 2.0)))
17.0ms	(cos (/ x (* y 2.0)))

simplify58.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	57	226
1	118	198
2	323	198
3	1358	198
4	5001	198

prune197.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 25.0b

regimes416.0ms

Accuracy

0% (2.6b remaining)

Error of 28.8b against oracle of 26.2b and baseline of 28.8b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	0

end0.0ms

sample2.9s

Algorithm

intervals

Results

914.0ms	690×	body	2560	valid
882.0ms	1381×	body	1280	valid
374.0ms	984×	body	640	valid
325.0ms	4076×	body	80	valid
154.0ms	569×	body	320	valid
57.0ms	300×	body	160	valid