Details

sample29.0ms

Algorithm

intervals

Results

7.0ms	174×	body	80	valid
7.0ms	27×	body	1280	valid
4.0ms	25×	body	640	valid
2.0ms	19×	body	320	valid
1.0ms	11×	body	160	valid

simplify8.0ms

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: 0.2b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.2b	(/ (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)

series84.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(* x (/ (sin y) y))
31.0ms	(/ (sin y) y)

simplify39.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	53	33
1	195	33
2	846	33
3	5001	33

prune29.0ms

Filtered

15 candidates to 10 candidates (66.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	11	4	15
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	11	5	16

Merged error: 0.0b

Counts

16 → 5

localize5.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ y (sin y))
0.4b	(/ x (/ 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:

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

series75.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(/ y (sin y))
53.0ms	(/ x (/ y (sin y)))

simplify35.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	58	41
1	180	41
2	676	40
3	5001	40

prune28.0ms

Filtered

16 candidates to 10 candidates (62.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	13	3	16
Fresh	1	2	3
Picked	1	0	1
Done	0	1	1
Total	15	6	21

Merged error: 0.0b

Counts

21 → 6

localize10.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ 1 (sin y))
0.2b	(* y (/ 1 (sin y)))
0.4b	(/ x (* y (/ 1 (sin y))))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 22

Calls

3 calls:

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

series88.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(/ 1 (sin y))
24.0ms	(* y (/ 1 (sin y)))
51.0ms	(/ x (* y (/ 1 (sin y))))

simplify64.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	90	62
1	329	58
2	1571	56
3	5002	56

prune38.0ms

Filtered

31 candidates to 14 candidates (45.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	29	2	31
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	31	6	37

Merged error: 0.0b

Counts

37 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (sin y))
7.9b	(* (* x (sin y)) (/ 1 y))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 10

Calls

2 calls:

2.0ms	(* x (sin y))
5.0ms	(* (* x (sin y)) (/ 1 y))

series91.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(* x (sin y))
51.0ms	(* (* x (sin y)) (/ 1 y))

simplify145.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	47	29
1	152	28
2	708	27
3	3807	27
4	5001	27

prune16.0ms

Filtered

16 candidates to 8 candidates (50.0%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	15	1	16
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	16	6	22

Merged error: 0.0b

Counts

22 → 6

regimes80.0ms

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

sample1.0s

Algorithm

intervals

Results

376.0ms	5173×	body	80	valid
247.0ms	988×	body	1280	valid
160.0ms	973×	body	640	valid
60.0ms	542×	body	320	valid
30.0ms	324×	body	160	valid