Details

sample86.0ms

Algorithm

intervals

Results

26.0ms	44×	body	1280	valid
21.0ms	17×	body	2560	valid
10.0ms	31×	body	640	valid
9.0ms	133×	body	80	valid
4.0ms	18×	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: 36.3b

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ x (* y 2.0))
7.9b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
27.8b	(sin (/ x (* y 2.0)))
28.1b	(tan (/ x (* y 2.0)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`times-frac`
11×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/l*`
4×	`pow1` `associate-/r*` `add-log-exp`
3×	`cbrt-undiv` `div-exp`
2×	`tan-quot` `frac-2neg` `clear-num` `div-inv`
1×	`prod-exp` `cbrt-unprod` `associate-/l/`

Counts

4 → 64

Calls

4 calls:

13.0ms	(/ x (* y 2.0))
12.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
5.0ms	(sin (/ x (* y 2.0)))
3.0ms	(tan (/ x (* y 2.0)))

series104.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(/ x (* y 2.0))
35.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
8.0ms	(sin (/ x (* y 2.0)))
36.0ms	(tan (/ x (* y 2.0)))

simplify99.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	229	540
1	840	484
2	4370	484
3	5002	484

prune247.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 25.2b

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

prune47.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 25.2b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ x (* y 2.0))
7.9b	(/ (tan (/ x (* y 2.0))) (sin (* (/ 1 y) (/ x 2.0))))
27.5b	(sin (* (/ 1 y) (/ x 2.0)))
28.1b	(tan (/ x (* y 2.0)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`times-frac`
11×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/l*`
4×	`pow1` `associate-/r*` `add-log-exp`
3×	`cbrt-undiv` `div-exp`
2×	`tan-quot` `frac-2neg` `clear-num` `div-inv`
1×	`prod-exp` `cbrt-unprod` `associate-/l/`

Counts

4 → 64

Calls

4 calls:

8.0ms	(/ x (* y 2.0))
9.0ms	(/ (tan (/ x (* y 2.0))) (sin (* (/ 1 y) (/ x 2.0))))
9.0ms	(sin (* (/ 1 y) (/ x 2.0)))
3.0ms	(tan (/ x (* y 2.0)))

series106.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(/ x (* y 2.0))
42.0ms	(/ (tan (/ x (* y 2.0))) (sin (* (/ 1 y) (/ x 2.0))))
10.0ms	(sin (* (/ 1 y) (/ x 2.0)))
36.0ms	(tan (/ x (* y 2.0)))

simplify125.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	236	590
1	860	528
2	4821	526
3	5002	526

prune452.0ms

Pruning

25 alts after pruning (24 fresh and 1 done)

Merged error: 24.9b

localize19.0ms

Local error

Found 4 expressions with local error:

27.5b	(sin (* (/ 1 y) (/ x 2.0)))
28.1b	(tan (/ x (* y 2.0)))
28.1b	(tan (/ x (* y 2.0)))
28.1b	(tan (/ x (* y 2.0)))

rewrite16.0ms

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:

6.0ms	(sin (* (/ 1 y) (/ x 2.0)))
3.0ms	(tan (/ x (* y 2.0)))
3.0ms	(tan (/ x (* y 2.0)))
4.0ms	(tan (/ x (* y 2.0)))

series124.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(sin (* (/ 1 y) (/ x 2.0)))
38.0ms	(tan (/ x (* y 2.0)))
36.0ms	(tan (/ x (* y 2.0)))
40.0ms	(tan (/ x (* y 2.0)))

simplify68.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	67	232
1	143	202
2	500	201
3	2512	201
4	5001	201

prune167.0ms

Pruning

25 alts after pruning (24 fresh and 1 done)

Merged error: 24.9b

regimes450.0ms

Accuracy

0% (3.4b remaining)

Error of 28.4b against oracle of 25.0b and baseline of 28.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	0

end0.0ms

sample2.7s

Algorithm

intervals

Results

839.0ms	1363×	body	1280	valid
812.0ms	642×	body	2560	valid
329.0ms	970×	body	640	valid
308.0ms	4115×	body	80	valid
145.0ms	579×	body	320	valid
62.0ms	331×	body	160	valid