Details

sample40.0ms

Algorithm

intervals

Results

12.0ms	187×	body	80	valid
8.0ms	30×	body	1280	valid
7.0ms	37×	body	640	valid
3.0ms	25×	body	320	valid
0.0ms	5×	body	160	valid

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	4
1	24	4
2	48	4
3	71	4
4	79	4
5	79	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: 4.0b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.1b	(/ (sin y) y)
3.9b	(/ (* x (/ (sin y) y)) z)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 19

Calls

3 calls:

3.0ms	(* x (/ (sin y) y))
3.0ms	(/ (sin y) y)
5.0ms	(/ (* x (/ (sin y) y)) z)

series149.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(* x (/ (sin y) y))
25.0ms	(/ (sin y) y)
69.0ms	(/ (* x (/ (sin y) y)) z)

simplify54.0ms

Algorithm

egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	96	72
1	348	70
2	1950	70
3	5002	70

prune56.0ms

Filtered

28 candidates to 20 candidates (71.4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	24	4	28
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	25	4	29

Merged error: 0.0b

Counts

29 → 4

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ (sin y) y)
2.2b	(/ (/ (sin y) y) (/ z x))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

6×	`div-inv`
4×	`frac-2neg` `clear-num`
3×	`associate-/r/` `associate-/l/`
1×	`times-frac` `associate-/r` `associate-/l`

Counts

2 → 15

Calls

2 calls:

3.0ms	(/ (sin y) y)
4.0ms	(/ (/ (sin y) y) (/ z x))

series101.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(/ (sin y) y)
76.0ms	(/ (/ (sin y) y) (/ z x))

simplify51.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	107	70
1	308	67
2	1453	65
3	5002	65

prune47.0ms

Filtered

21 candidates to 15 candidates (71.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	19	2	21
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	19	6	25

Merged error: 0.0b

Counts

25 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (/ (sin y) y) z)
0.1b	(/ (sin y) y)
2.4b	(/ (/ (/ (sin y) y) z) (/ 1 x))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

13×	`associate-/l/`
9×	`div-inv`
7×	`frac-2neg` `clear-num`
3×	`associate-/r/` `associate-/l*`
1×	`times-frac` `associate-/r*`

Counts

3 → 26

Calls

3 calls:

4.0ms	(/ (/ (sin y) y) z)
3.0ms	(/ (sin y) y)
7.0ms	(/ (/ (/ (sin y) y) z) (/ 1 x))

series137.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(/ (/ (sin y) y) z)
24.0ms	(/ (sin y) y)
75.0ms	(/ (/ (/ (sin y) y) z) (/ 1 x))

simplify142.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	160	120
1	637	103
2	4094	103
3	5002	103

prune63.0ms

Filtered

35 candidates to 21 candidates (60.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	33	2	35
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	35	6	41

Merged error: 0b

Counts

41 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ x (/ y (sin y)))
0.1b	(/ y (sin y))
3.9b	(/ (/ x (/ y (sin y))) z)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

6×	`frac-2neg` `clear-num` `associate-/r/` `div-inv`
4×	`associate-/l/` `associate-/l*`
2×	`associate-/r*`

Counts

3 → 21

Calls

3 calls:

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

series154.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(/ x (/ y (sin y)))
22.0ms	(/ y (sin y))
74.0ms	(/ (/ x (/ y (sin y))) z)

simplify60.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	106	89
1	332	87
2	1753	86
3	5001	86

prune55.0ms

Filtered

30 candidates to 21 candidates (70.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	30	0	30
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	30	6	36

Merged error: 0b

Counts

36 → 6

regimes123.0ms

Accuracy

47.8% (1.7b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 3.2b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	11
1	15	11

end0.0ms

sample1.0s

Algorithm

intervals

Results

276.0ms	1001×	body	1280	valid
244.0ms	5825×	body	80	valid
196.0ms	1052×	body	640	valid
72.0ms	577×	body	320	valid
26.0ms	291×	body	160	valid