Details

sample31.0ms

Algorithm

intervals

Results

9.0ms	36×	body	1280	valid
6.0ms	37×	body	640	valid
6.0ms	163×	body	80	valid
1.0ms	10×	body	320	valid
1.0ms	10×	body	160	valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	3
1	12	3
2	16	3
3	17	3
4	17	3

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: 0.1b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.1b	(/ (sin y) y)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 9

Calls

2 calls:

3.0ms	(* x (/ (sin y) y))
3.0ms	(/ (sin y) y)

series82.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(* x (/ (sin y) y))
27.0ms	(/ (sin y) y)

simplify34.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	54	33
1	201	32
2	878	32
3	5002	32

prune25.0ms

Filtered

15 candidates to 10 candidates (66.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	13	2	15
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	13	3	16

Merged error: 0.0b

Counts

16 → 3

localize5.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ x (/ y (sin y)))
0.1b	(/ y (sin y))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 10

Calls

2 calls:

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

series73.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(/ x (/ y (sin y)))
21.0ms	(/ y (sin y))

simplify30.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	60	39
1	186	39
2	713	38
3	5002	38

prune27.0ms

Filtered

16 candidates to 11 candidates (68.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	14	2	16
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	15	4	19

Merged error: 0.0b

Counts

19 → 4

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (/ y (sin y)) x)
0.1b	(/ y (sin y))
0.9b	(/ 1 (/ (/ y (sin y)) x))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

8×	`clear-num`
7×	`associate-/r/` `associate-/l/`
6×	`frac-2neg` `div-inv`
2×	`remove-double-div` `associate-/l*`
1×	`associate-/r*` `inv-pow`

Counts

3 → 24

Calls

3 calls:

3.0ms	(/ (/ y (sin y)) x)
2.0ms	(/ y (sin y))
4.0ms	(/ 1 (/ (/ y (sin y)) x))

series94.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(/ (/ y (sin y)) x)
21.0ms	(/ y (sin y))
40.0ms	(/ 1 (/ (/ y (sin y)) x))

simplify48.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	96	84
1	284	81
2	1443	78
3	5001	78

prune51.0ms

Filtered

33 candidates to 22 candidates (66.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	32	1	33
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	33	4	37

Merged error: 0.0b

Counts

37 → 4

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (- (sin y)))
7.2b	(* (/ 1 (- y)) (* x (- (sin y))))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 13

Calls

2 calls:

3.0ms	(* x (- (sin y)))
6.0ms	(* (/ 1 (- y)) (* x (- (sin y))))

series79.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(* x (- (sin y)))
37.0ms	(* (/ 1 (- y)) (* x (- (sin y))))

simplify59.0ms

Algorithm

egg-herbie

Counts

19 → 19

Iterations

Useful iterations: 3 (57.0ms)

Iter	Nodes	Cost
0	85	57
1	378	51
2	3164	47
3	5001	45

prune33.0ms

Filtered

19 candidates to 15 candidates (78.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	19	0	19
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	19	4	23

Merged error: 0.0b

Counts

23 → 4

regimes66.0ms

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	6	3
1	6	3

end0.0ms

sample942.0ms

Algorithm

intervals

Results

282.0ms	988×	body	1280	valid
205.0ms	5178×	body	80	valid
185.0ms	1001×	body	640	valid
70.0ms	544×	body	320	valid
26.0ms	289×	body	160	valid