Details

sample74.0ms

Algorithm

intervals

Results

30.0ms	107×	body	1280	valid
13.0ms	75×	body	640	valid
12.0ms	292×	body	80	valid
4.0ms	34×	body	320	valid
1.0ms	17×	body	160	valid

simplify83.0ms

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	137	4
4	262	4
5	492	4
6	1390	4
7	4856	4
8	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

localize6.0ms

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))

series161.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify53.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 3 (51.0ms)

Iter	Nodes	Cost
0	127	66
1	396	61
2	1823	49
3	5002	39

prune28.0ms

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

localize6.0ms

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:

98.0ms	(/ (sin x) (/ y (sinh y)))
62.0ms	(sinh y)
90.0ms	(/ y (sinh y))

simplify82.0ms

Algorithm

egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 3 (79.0ms)

Iter	Nodes	Cost
0	166	108
1	491	101
2	2179	78
3	5001	74

prune48.0ms

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)))

series211.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(sinh y)
37.0ms	(/ (sin x) (- y))
112.0ms	(* (/ (sin x) (- y)) (- (sinh y)))

simplify32.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	217	147
1	818	134
2	5001	94

prune60.0ms

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

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (* 7/360 (pow y 4)) 1) (* 1/6 (pow y 2)))
0.0b	(/ (sin x) (- (+ (* 7/360 (pow y 4)) 1) (* 1/6 (pow y 2))))
0.1b	(* 7/360 (pow y 4))
0.2b	(* 1/6 (pow y 2))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

3×	`associate-r`
2×	`flip3--` `associate--l+` `associate-/r/` `*-commutative` `flip--` `sqr-pow`
1×	`+-commutative` `sub-neg` `frac-2neg` `clear-num` `div-inv` `unpow2`

Counts

4 → 16

Calls

4 calls:

5.0ms	(- (+ (* 7/360 (pow y 4)) 1) (* 1/6 (pow y 2)))
7.0ms	(/ (sin x) (- (+ (* 7/360 (pow y 4)) 1) (* 1/6 (pow y 2))))
3.0ms	(* 7/360 (pow y 4))
3.0ms	(* 1/6 (pow y 2))

series225.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(- (+ (* 7/360 (pow y 4)) 1) (* 1/6 (pow y 2)))
118.0ms	(/ (sin x) (- (+ (* 7/360 (pow y 4)) 1) (* 1/6 (pow y 2))))
41.0ms	(* 7/360 (pow y 4))
25.0ms	(* 1/6 (pow y 2))

simplify123.0ms

Algorithm

egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	144	166
1	504	164
2	2549	159
3	5001	159

prune62.0ms

Filtered

28 candidates to 17 candidates (60.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	28	0	28
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	28	3	31

Merged error: 0.0b

Counts

31 → 3

regimes48.0ms

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

sample2.4s

Algorithm

intervals

Results

851.0ms	2964×	body	1280	valid
565.0ms	8573×	body	80	valid
456.0ms	2510×	body	640	valid
148.0ms	1203×	body	320	valid
50.0ms	582×	body	160	valid