Details

sample115.0ms

Algorithm

intervals

Results

33.0ms	23×	body	2560	valid
27.0ms	39×	body	1280	valid
17.0ms	39×	body	640	valid
14.0ms	122×	body	80	valid
8.0ms	24×	body	320	valid
2.0ms	9×	body	160	valid

simplify8.0ms

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:

5.8b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
30.0b	(sin (/ x (* y 2.0)))
30.3b	(tan (/ x (* y 2.0)))

rewrite10.0ms

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:

5.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
2.0ms	(sin (/ x (* y 2.0)))
2.0ms	(tan (/ x (* y 2.0)))

series107.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
10.0ms	(sin (/ x (* y 2.0)))
52.0ms	(tan (/ x (* y 2.0)))

simplify67.0ms

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

prune231.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 28.2b

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

prune38.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 28.2b

localize12.0ms

Local error

Found 4 expressions with local error:

5.8b	(/ (/ (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))) (sin (/ x (* y 2.0))))
30.0b	(sin (/ x (* y 2.0)))
30.0b	(sin (/ x (* y 2.0)))
30.4b	(cos (/ x (* y 2.0)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

75×	`times-frac`
46×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
13×	`associate-/l*`
9×	`add-exp-log` `add-cbrt-cube`
5×	`div-inv`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `associate-/r*`
1×	`frac-2neg` `clear-num` `associate-/l/`

Counts

4 → 99

Calls

4 calls:

15.0ms	(/ (/ (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))) (sin (/ 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)))

series57.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(/ (/ (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))) (sin (/ x (* y 2.0))))
10.0ms	(sin (/ x (* y 2.0)))
10.0ms	(sin (/ x (* y 2.0)))
14.0ms	(cos (/ x (* y 2.0)))

simplify61.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	358	1652
1	1480	1382
2	5001	1333

prune415.0ms

Pruning

24 alts after pruning (23 fresh and 1 done)

Merged error: 28.2b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(log1p (expm1 (sin (/ x (* y 2.0)))))
5.8b	(/ (tan (/ x (* y 2.0))) (log1p (expm1 (sin (/ x (* y 2.0))))))
30.0b	(sin (/ x (* y 2.0)))
30.3b	(tan (/ x (* y 2.0)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
6×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `associate-/l`
2×	`tan-quot`
1×	`cbrt-undiv` `log1p-udef` `frac-2neg` `log1p-expm1` `div-exp` `clear-num` `div-inv` `associate-/l/`

Counts

4 → 60

Calls

4 calls:

0.0ms	(log1p (expm1 (sin (/ x (* y 2.0)))))
3.0ms	(/ (tan (/ x (* y 2.0))) (log1p (expm1 (sin (/ x (* y 2.0))))))
2.0ms	(sin (/ x (* y 2.0)))
2.0ms	(tan (/ x (* y 2.0)))

series207.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(log1p (expm1 (sin (/ x (* y 2.0)))))
107.0ms	(/ (tan (/ x (* y 2.0))) (log1p (expm1 (sin (/ x (* y 2.0))))))
10.0ms	(sin (/ x (* y 2.0)))
47.0ms	(tan (/ x (* y 2.0)))

simplify68.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 3 (60.0ms)

Iter	Nodes	Cost
0	159	622
1	448	532
2	1814	519
3	5001	513

prune230.0ms

Pruning

25 alts after pruning (24 fresh and 1 done)

Merged error: 28.2b

regimes417.0ms

Accuracy

0% (2.4b remaining)

Error of 29.1b against oracle of 26.7b and baseline of 29.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	0

end0.0ms

sample3.5s

Algorithm

intervals

Results

1.0s	1426×	body	1280	valid
968.0ms	666×	body	2560	valid
481.0ms	4033×	body	80	valid
461.0ms	971×	body	640	valid
200.0ms	603×	body	320	valid
81.0ms	301×	body	160	valid