Details

sample83.0ms

Algorithm

intervals

Results

31.0ms	94×	body	1280	valid
15.0ms	75×	body	640	valid
13.0ms	286×	body	80	valid
6.0ms	41×	body	320	valid
2.0ms	24×	body	160	valid

simplify48.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	15	4
1	30	4
2	66	4
3	139	4
4	271	4
5	520	4
6	1491	4
7	5001	4

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.0b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (cos x) (/ (sinh y) y))
0.0b	(/ (sinh y) y)
0.0b	(sinh y)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

4×	`associate-*r/`
3×	`sinh-def` `clear-num`
2×	`frac-2neg` `div-inv` `associate-/l/`
1×	`associate-r` `un-div-inv` `*-commutative`

Counts

3 → 12

Calls

3 calls:

3.0ms	(* (cos x) (/ (sinh y) y))
2.0ms	(/ (sinh y) y)
1.0ms	(sinh y)

series223.0ms

Counts

3 → 9

Calls

3 calls:

84.0ms	(* (cos x) (/ (sinh y) y))
83.0ms	(/ (sinh y) y)
57.0ms	(sinh y)

simplify74.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 3 (69.0ms)

Iter	Nodes	Cost
0	172	88
1	531	81
2	2635	53
3	5002	50

prune37.0ms

Filtered

21 candidates to 14 candidates (66.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	19	2	21
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	19	3	22

Merged error: 0.0b

Counts

22 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.0b	(/ (cos x) (/ y (sinh y)))
0.0b	(/ y (sinh y))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

5×	`associate-/r/`
3×	`sinh-def` `frac-2neg` `clear-num` `div-inv`
2×	`associate-/r*`

Counts

3 → 13

Calls

3 calls:

1.0ms	(sinh y)
3.0ms	(/ (cos x) (/ y (sinh y)))
2.0ms	(/ y (sinh y))

series234.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(sinh y)
87.0ms	(/ (cos x) (/ y (sinh y)))
91.0ms	(/ y (sinh y))

simplify76.0ms

Algorithm

egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 3 (73.0ms)

Iter	Nodes	Cost
0	166	105
1	487	97
2	2295	66
3	5001	65

prune41.0ms

Filtered

22 candidates to 14 candidates (63.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	21	1	22
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	22	3	25

Merged error: 0b

Counts

25 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(sinh y)
0.0b	(/ 1 (sinh y))
0.0b	(/ (cos x) (* y (/ 1 (sinh y))))
0.1b	(* y (/ 1 (sinh y)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

8×	`associate-/r/`
6×	`associate-*r/` `clear-num`
4×	`sinh-def` `frac-2neg` `associate-r` `associate-/r*` `un-div-inv` `div-inv`
2×	`*-commutative`
1×	`inv-pow`

Counts

4 → 26

Calls

4 calls:

1.0ms	(sinh y)
2.0ms	(/ 1 (sinh y))
4.0ms	(/ (cos x) (* y (/ 1 (sinh y))))
3.0ms	(* y (/ 1 (sinh y)))

series318.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(sinh y)
64.0ms	(/ 1 (sinh y))
84.0ms	(/ (cos x) (* y (/ 1 (sinh y))))
112.0ms	(* y (/ 1 (sinh y)))

simplify133.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 3 (130.0ms)

Iter	Nodes	Cost
0	197	142
1	707	118
2	4274	84
3	5001	82

prune59.0ms

Filtered

38 candidates to 22 candidates (57.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	38	0	38
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	38	3	41

Merged error: 0b

Counts

41 → 3

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- (exp y) (exp (- y))) (* y 2))
0.0b	(* (cos x) (/ (- (exp y) (exp (- y))) (* y 2)))
5.1b	(- (exp y) (exp (- y)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

7×	`associate-*r/`
4×	`associate-/r*` `associate-/l/`
3×	`flip3--` `clear-num` `*-commutative` `flip--`
2×	`frac-2neg` `div-inv`
1×	`sub-neg` `div-sub` `associate-r` `un-div-inv`

Counts

3 → 22

Calls

3 calls:

4.0ms	(/ (- (exp y) (exp (- y))) (* y 2))
5.0ms	(* (cos x) (/ (- (exp y) (exp (- y))) (* y 2)))
2.0ms	(- (exp y) (exp (- y)))

series183.0ms

Counts

3 → 9

Calls

3 calls:

70.0ms	(/ (- (exp y) (exp (- y))) (* y 2))
78.0ms	(* (cos x) (/ (- (exp y) (exp (- y))) (* y 2)))
34.0ms	(- (exp y) (exp (- y)))

simplify30.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	253	197
1	911	182
2	5001	173

prune74.0ms

Filtered

31 candidates to 26 candidates (83.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	31	0	31
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	31	3	34

Merged error: 0b

Counts

34 → 3

regimes75.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	4
1	7	4

end0.0ms

sample2.0s

Algorithm

intervals

Results

790.0ms	2961×	body	1280	valid
424.0ms	2497×	body	640	valid
338.0ms	8792×	body	80	valid
139.0ms	1197×	body	320	valid
46.0ms	588×	body	160	valid