Details

sample79.0ms

Algorithm

intervals

Results

32.0ms	107×	body	1280	valid
14.0ms	75×	body	640	valid
13.0ms	292×	body	80	valid
4.0ms	34×	body	320	valid
2.0ms	17×	body	160	valid

simplify45.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 8

Calls

2 calls:

1.0ms	(sinh y)
4.0ms	(* (sin x) (/ (sinh y) y))

series162.0ms

Counts

2 → 6

Calls

2 calls:

61.0ms	(sinh y)
100.0ms	(* (sin x) (/ (sinh y) y))

simplify49.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 3 (47.0ms)

Iter	Nodes	Cost
0	132	64
1	422	58
2	1946	47
3	5001	36

prune29.0ms

Filtered

14 candidates to 9 candidates (64.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	12	2	14
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	13	2	15

Merged error: 0.0b

Counts

15 → 2

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (sin x) (/ y (sinh y)))
0.0b	(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:

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

series250.0ms

Counts

3 → 9

Calls

3 calls:

99.0ms	(/ (sin x) (/ y (sinh y)))
62.0ms	(sinh y)
89.0ms	(/ y (sinh y))

simplify80.0ms

Algorithm

egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 3 (77.0ms)

Iter	Nodes	Cost
0	174	106
1	524	97
2	2315	75
3	5001	70

prune51.0ms

Filtered

22 candidates to 16 candidates (72.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	20	2	22
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	21	3	24

Merged error: 0.0b

Counts

24 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(/ (sin x) (- y))
0.2b	(* (/ (sin x) (- y)) (- (sinh y)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

6×	`sinh-def`
5×	`distribute-neg-frac`
4×	`frac-times` `neg-mul-1` `associate-*l/`
3×	`frac-2neg` `clear-num` `associate-/r*`
2×	`div-inv`
1×	`associate-r/` `associate-r` `associate-l` `-commutative` `distribute-rgt-neg-out`

Counts

3 → 18

Calls

3 calls:

1.0ms	(sinh y)
3.0ms	(/ (sin x) (- y))
5.0ms	(* (/ (sin x) (- y)) (- (sinh y)))

series188.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(sinh y)
33.0ms	(/ (sin x) (- y))
97.0ms	(* (/ (sin x) (- y)) (- (sinh y)))

simplify31.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	223	145
1	850	131
2	5002	92

prune248.0ms

Filtered

27 candidates to 19 candidates (70.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	26	1	27
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	27	3	30

Merged error: 0.0b

Counts

30 → 3

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (sin x) (fma (pow y 4) 7/360 (- 1 (* 1/6 (pow y 2)))))
0.0b	(fma (pow y 4) 7/360 (- 1 (* 1/6 (pow y 2))))
0.2b	(* 1/6 (pow y 2))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

2×	`associate-r`
1×	`frac-2neg` `clear-num` `*-commutative` `fma-udef` `div-inv` `unpow2` `sqr-pow`

Counts

3 → 7

Calls

3 calls:

3.0ms	(/ (sin x) (fma (pow y 4) 7/360 (- 1 (* 1/6 (pow y 2)))))
1.0ms	(fma (pow y 4) 7/360 (- 1 (* 1/6 (pow y 2))))
3.0ms	(* 1/6 (pow y 2))

series183.0ms

Counts

3 → 9

Calls

3 calls:

114.0ms	(/ (sin x) (fma (pow y 4) 7/360 (- 1 (* 1/6 (pow y 2)))))
44.0ms	(fma (pow y 4) 7/360 (- 1 (* 1/6 (pow y 2))))
24.0ms	(* 1/6 (pow y 2))

simplify40.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 3 (38.0ms)

Iter	Nodes	Cost
0	88	69
1	249	68
2	888	68
3	5001	64

prune29.0ms

Filtered

16 candidates to 9 candidates (56.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	16	0	16
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	16	3	19

Merged error: 0.0b

Counts

19 → 3

regimes56.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	6
1	15	6
2	18	6
3	18	6

end0.0ms

sample2.3s

Algorithm

intervals

Results

871.0ms	2964×	body	1280	valid
479.0ms	2510×	body	640	valid
370.0ms	8573×	body	80	valid
163.0ms	1203×	body	320	valid
53.0ms	582×	body	160	valid