Details

sample99.0ms

Algorithm

intervals

Results

30.0ms	24×	body	2560	valid
29.0ms	47×	body	1280	valid
10.0ms	28×	body	640	valid
9.0ms	119×	body	80	valid
6.0ms	25×	body	320	valid
3.0ms	13×	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: 39.4b

localize12.0ms

Local error

Found 3 expressions with local error:

8.4b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
30.8b	(sin (/ x (* y 2.0)))
31.3b	(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)))
2.0ms	(tan (/ x (* y 2.0)))

series102.0ms

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)))

simplify61.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 1 (7.0ms)

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

prune228.0ms

Pruning

15 alts after pruning (15 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

prune36.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 28.4b

localize15.0ms

Local error

Found 4 expressions with local error:

0.4b	(pow (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 3)
8.4b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
30.8b	(sin (/ x (* y 2.0)))
31.3b	(tan (/ x (* y 2.0)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
13×	`unpow-prod-down` `cube-prod`
9×	`add-exp-log` `add-cbrt-cube`
5×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `associate-/r` `div-inv` `associate-/l`
2×	`tan-quot` `cbrt-undiv` `div-exp` `pow-exp` `rem-cube-cbrt`
1×	`cube-div` `cube-mult` `pow-to-exp` `pow-pow` `frac-2neg` `unpow3` `clear-num` `associate-/l/` `sqr-pow`

Counts

4 → 97

Calls

4 calls:

5.0ms	(pow (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 3)
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)))

series168.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(pow (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 3)
42.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
10.0ms	(sin (/ x (* y 2.0)))
47.0ms	(tan (/ x (* y 2.0)))

simplify63.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	348	1116
1	1576	1021
2	5001	1012

prune372.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 28.4b

localize16.0ms

Local error

Found 4 expressions with local error:

30.8b	(sin (/ x (* y 2.0)))
31.3b	(tan (/ x (* y 2.0)))
31.3b	(tan (/ x (* y 2.0)))
31.3b	(tan (/ x (* y 2.0)))

rewrite9.0ms

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)))

series139.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(sin (/ x (* y 2.0)))
45.0ms	(tan (/ x (* y 2.0)))
41.0ms	(tan (/ x (* y 2.0)))
42.0ms	(tan (/ x (* y 2.0)))

simplify65.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 1 (6.0ms)

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

prune214.0ms

Pruning

19 alts after pruning (17 fresh and 2 done)

Merged error: 28.3b

regimes434.0ms

Accuracy

34.4% (1.6b remaining)

Error of 27.9b against oracle of 26.3b and baseline of 28.7b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	33
1	17	33

end0.0ms

sample2.9s

Algorithm

intervals

Results

889.0ms	677×	body	2560	valid
867.0ms	1394×	body	1280	valid
355.0ms	980×	body	640	valid
315.0ms	4077×	body	80	valid
154.0ms	569×	body	320	valid
71.0ms	303×	body	160	valid