Details

sample91.0ms

Algorithm

intervals

Results

29.0ms	49×	body	1280	valid
22.0ms	17×	body	2560	valid
13.0ms	38×	body	640	valid
9.0ms	115×	body	80	valid
6.0ms	24×	body	320	valid
2.0ms	13×	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: 36.7b

localize10.0ms

Local error

Found 3 expressions with local error:

5.5b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
31.6b	(sin (/ x (* y 2.0)))
32.1b	(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:

5.0ms	(/ (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:

39.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
8.0ms	(sin (/ x (* y 2.0)))
42.0ms	(tan (/ x (* y 2.0)))

simplify62.0ms

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

prune185.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 28.7b

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

prune28.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 28.7b

localize18.0ms

Local error

Found 4 expressions with local error:

31.6b	(sin (/ x (* y 2.0)))
32.1b	(tan (/ x (* y 2.0)))
32.1b	(tan (/ x (* y 2.0)))
32.1b	(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)))

series124.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(sin (/ x (* y 2.0)))
37.0ms	(tan (/ x (* y 2.0)))
38.0ms	(tan (/ x (* y 2.0)))
41.0ms	(tan (/ x (* y 2.0)))

simplify60.0ms

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

prune239.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 28.7b

localize14.0ms

Local error

Found 4 expressions with local error:

1.0b	(log1p (expm1 (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))))
5.5b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
31.6b	(sin (/ x (* y 2.0)))
32.1b	(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 (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))))
6.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
2.0ms	(sin (/ x (* y 2.0)))
1.0ms	(tan (/ x (* y 2.0)))

series174.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(log1p (expm1 (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))))
36.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
8.0ms	(sin (/ x (* y 2.0)))
38.0ms	(tan (/ x (* y 2.0)))

simplify60.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	159	598
1	450	539
2	1808	539
3	5001	539

prune208.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 28.7b

regimes363.0ms

Accuracy

38.3% (1.5b remaining)

Error of 27.4b against oracle of 25.9b and baseline of 28.3b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	38
1	23	38

end0.0ms

sample2.7s

Algorithm

intervals

Results

863.0ms	1386×	body	1280	valid
839.0ms	632×	body	2560	valid
345.0ms	954×	body	640	valid
310.0ms	4116×	body	80	valid
148.0ms	581×	body	320	valid
64.0ms	331×	body	160	valid