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

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

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 36.7b

localize16.0ms

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` `associate-/r` `associate-/l` `add-log-exp`
2×	`tan-quot`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv` `associate-/l/`

Counts

3 → 43

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)))

series91.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
9.0ms	(sin (/ x (* y 2.0)))
39.0ms	(tan (/ x (* y 2.0)))

simplify53.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	138	457
1	421	413
2	1765	413
3	5001	413

prune162.0ms

Filtered

52 candidates to 44 candidates (84.6%)

Pruning

12 alts after pruning (12 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

simplify2.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune27.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 28.7b

localize17.0ms

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)))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`tan-quot`

Counts

4 → 31

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)))

series121.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(sin (/ x (* y 2.0)))
37.0ms	(tan (/ x (* y 2.0)))
39.0ms	(tan (/ x (* y 2.0)))
37.0ms	(tan (/ x (* y 2.0)))

simplify49.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	56	224
1	123	196
2	434	196
3	1952	196
4	5001	196

prune203.0ms

Filtered

43 candidates to 39 candidates (90.7%)

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 28.7b

localize14.0ms

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` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`tan-quot`

Counts

4 → 31

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:

9.0ms	(sin (/ x (* y 2.0)))
38.0ms	(tan (/ x (* y 2.0)))
40.0ms	(tan (/ x (* y 2.0)))
38.0ms	(tan (/ x (* y 2.0)))

simplify52.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	56	224
1	123	196
2	434	196
3	1952	196
4	5001	196

prune148.0ms

Filtered

43 candidates to 39 candidates (90.7%)

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 28.7b

regimes281.0ms

Accuracy

39.2% (1.5b remaining)

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

bsearch2.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	33
1	17	33

end0.0ms

sample2.7s

Algorithm

intervals

Results

838.0ms	1386×	body	1280	valid
829.0ms	632×	body	2560	valid
354.0ms	954×	body	640	valid
318.0ms	4116×	body	80	valid
153.0ms	581×	body	320	valid
63.0ms	331×	body	160	valid