Details

sample60.0ms

Algorithm

intervals

Results

16.0ms	59×	body	1280	valid
13.0ms	337×	body	80	valid
11.0ms	64×	body	640	valid
4.0ms	37×	body	320	valid
2.0ms	23×	body	160	valid

simplify48.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	15	4
1	32	4
2	68	4
3	146	4
4	292	4
5	556	4
6	1543	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: 12.3b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (sinh y))
12.3b	(/ (* (sin x) (sinh y)) x)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 9

Calls

3 calls:

1.0ms	(sinh y)
3.0ms	(* (sin x) (sinh y))
4.0ms	(/ (* (sin x) (sinh y)) x)

series240.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(sinh y)
84.0ms	(* (sin x) (sinh y))
93.0ms	(/ (* (sin x) (sinh y)) x)

simplify54.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 3 (51.0ms)

Iter	Nodes	Cost
0	167	91
1	448	84
2	1770	82
3	5002	58

prune42.0ms

Filtered

18 candidates to 13 candidates (72.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	16	2	18
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	16	3	19

Merged error: 0.0b

Counts

19 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 22

Calls

3 calls:

1.0ms	(sinh y)
5.0ms	(* (/ (sin x) (/ x 1)) (sinh y))
3.0ms	(/ (sin x) (/ x 1))

series186.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(sinh y)
94.0ms	(* (/ (sin x) (/ x 1)) (sinh y))
29.0ms	(/ (sin x) (/ x 1))

simplify156.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 3 (153.0ms)

Iter	Nodes	Cost
0	196	130
1	773	112
2	4242	90
3	5001	89

prune68.0ms

Filtered

31 candidates to 23 candidates (74.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	29	2	31
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	31	3	34

Merged error: 0.0b

Counts

34 → 3

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(/ (sinh y) (/ (/ x 1) (sin x)))
0.1b	(/ (/ x 1) (sin x))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 20

Calls

3 calls:

1.0ms	(sinh y)
4.0ms	(/ (sinh y) (/ (/ x 1) (sin x)))
3.0ms	(/ (/ x 1) (sin x))

series176.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(sinh y)
84.0ms	(/ (sinh y) (/ (/ x 1) (sin x)))
29.0ms	(/ (/ x 1) (sin x))

simplify111.0ms

Algorithm

egg-herbie

Counts

29 → 29

Iterations

Useful iterations: 3 (108.0ms)

Iter	Nodes	Cost
0	178	99
1	625	92
2	3286	77
3	5001	76

prune57.0ms

Filtered

29 candidates to 21 candidates (72.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	28	1	29
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	28	4	32

Merged error: 0.0b

Counts

32 → 4

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (* (sin x) (/ 1 x)) (sinh y))
0.3b	(* (sin x) (/ 1 x))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

10×	`associate-*r/`
7×	`sinh-def`
6×	`clear-num` `un-div-inv`
5×	`frac-times` `associate-*l/`
3×	`frac-2neg` `associate-l` `*-commutative`
2×	`associate-r` `div-inv`

Counts

3 → 23

Calls

3 calls:

2.0ms	(sinh y)
10.0ms	(* (* (sin x) (/ 1 x)) (sinh y))
6.0ms	(* (sin x) (/ 1 x))

series190.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(sinh y)
93.0ms	(* (* (sin x) (/ 1 x)) (sinh y))
40.0ms	(* (sin x) (/ 1 x))

simplify103.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 3 (100.0ms)

Iter	Nodes	Cost
0	180	131
1	667	122
2	3433	94
3	5001	93

prune50.0ms

Filtered

32 candidates to 19 candidates (59.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	32	0	32
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	32	4	36

Merged error: 0.0b

Counts

36 → 4

regimes73.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	5
1	10	5

end0.0ms

sample1.8s

Algorithm

intervals

Results

506.0ms	1820×	body	1280	valid
427.0ms	10560×	body	80	valid
360.0ms	2002×	body	640	valid
132.0ms	1082×	body	320	valid
49.0ms	570×	body	160	valid