Details

sample113.0ms

Algorithm

intervals

Results

41.0ms	30×	body	2560	valid
30.0ms	44×	body	1280	valid
12.0ms	29×	body	640	valid
11.0ms	122×	body	80	valid
6.0ms	21×	body	320	valid
2.0ms	10×	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: 35.7b

localize17.0ms

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` `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)))

series86.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify52.0ms

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

prune170.0ms

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

prune35.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 28.4b

localize20.0ms

Local error

Found 4 expressions with local error:

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

series127.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(sin (/ x (* y 2.0)))
36.0ms	(tan (/ x (* y 2.0)))
36.0ms	(tan (/ x (* y 2.0)))
41.0ms	(tan (/ x (* y 2.0)))

simplify53.0ms

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

prune202.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 28.4b

localize15.0ms

Local error

Found 4 expressions with local error:

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

series119.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(sin (/ x (* y 2.0)))
35.0ms	(tan (/ x (* y 2.0)))
40.0ms	(tan (/ x (* y 2.0)))
36.0ms	(tan (/ x (* y 2.0)))

simplify50.0ms

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

prune152.0ms

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 28.4b

regimes277.0ms

Accuracy

35.4% (1.5b remaining)

Error of 27.1b against oracle of 25.6b and baseline of 27.9b

bsearch2.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	33
1	17	33

end0.0ms

sample3.1s

Algorithm

intervals

Results

945.0ms	1367×	body	1280	valid
901.0ms	635×	body	2560	valid
412.0ms	968×	body	640	valid
391.0ms	4163×	body	80	valid
173.0ms	576×	body	320	valid
71.0ms	291×	body	160	valid