Details

sample108.0ms

Algorithm

intervals

Results

40.0ms	30×	body	2560	valid
29.0ms	44×	body	1280	valid
11.0ms	29×	body	640	valid
11.0ms	122×	body	80	valid
6.0ms	21×	body	320	valid
2.0ms	10×	body	160	valid

simplify5.0ms

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: 35.7b

localize14.0ms

Local error

Found 3 expressions with local error:

4.3b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
31.0b	(sin (/ x (* y 2.0)))
31.4b	(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` `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)))

series88.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
9.0ms	(sin (/ x (* y 2.0)))
36.0ms	(tan (/ x (* y 2.0)))

simplify62.0ms

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

prune196.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 28.4b

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

prune29.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 28.4b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(log1p (expm1 (sin (/ x (* y 2.0)))))
4.3b	(/ (tan (/ x (* y 2.0))) (log1p (expm1 (sin (/ x (* y 2.0))))))
31.0b	(sin (/ x (* y 2.0)))
31.4b	(tan (/ x (* y 2.0)))

rewrite11.0ms

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

series164.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(log1p (expm1 (sin (/ x (* y 2.0)))))
87.0ms	(/ (tan (/ x (* y 2.0))) (log1p (expm1 (sin (/ x (* y 2.0))))))
8.0ms	(sin (/ x (* y 2.0)))
35.0ms	(tan (/ x (* y 2.0)))

simplify59.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 3 (48.0ms)

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

prune225.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 28.4b

localize14.0ms

Local error

Found 4 expressions with local error:

4.3b	(/ (/ (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))) (log1p (expm1 (sin (/ x (* y 2.0))))))
31.0b	(sin (/ x (* y 2.0)))
31.0b	(sin (/ x (* y 2.0)))
31.4b	(cos (/ x (* y 2.0)))

rewrite23.0ms

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:

11.0ms	(/ (/ (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))) (log1p (expm1 (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)))

series118.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(/ (/ (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))) (log1p (expm1 (sin (/ x (* y 2.0))))))
8.0ms	(sin (/ x (* y 2.0)))
8.0ms	(sin (/ x (* y 2.0)))
10.0ms	(cos (/ x (* y 2.0)))

simplify50.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	372	1838
1	1471	1418
2	5002	1327

prune326.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 28.4b

regimes413.0ms

Accuracy

36.3% (1.5b remaining)

Error of 27.1b against oracle of 25.7b and baseline of 27.9b

bsearch2.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	36
1	21	36

end0.0ms

sample3.0s

Algorithm

intervals

Results

917.0ms	1367×	body	1280	valid
863.0ms	635×	body	2560	valid
403.0ms	968×	body	640	valid
371.0ms	4163×	body	80	valid
170.0ms	576×	body	320	valid
69.0ms	291×	body	160	valid