Details

sample34.0ms

Algorithm

intervals

Results

8.0ms	31×	body	1280	valid
8.0ms	196×	body	80	valid
5.0ms	26×	body	640	valid
2.0ms	16×	body	320	valid
1.0ms	12×	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: 2.4b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.1b	(/ (sin y) y)
2.3b	(/ (* 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)

series144.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(* x (/ (sin y) y))
24.0ms	(/ (sin y) y)
67.0ms	(/ (* x (/ (sin y) y)) z)

simplify61.0ms

Algorithm

egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	95	72
1	342	71
2	1914	71
3	5002	71

prune57.0ms

Filtered

28 candidates to 20 candidates (71.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	22	6	28
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	23	6	29

Merged error: 0.0b

Counts

29 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ (sin y) y)
1.4b	(/ (/ (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:

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

series97.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(/ (sin y) y)
73.0ms	(/ (/ (sin y) y) (/ z x))

simplify56.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	106	70
1	304	68
2	1425	66
3	5002	66

prune46.0ms

Filtered

21 candidates to 15 candidates (71.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	19	2	21
Fresh	1	4	5
Picked	1	0	1
Done	0	0	0
Total	21	6	27

Merged error: 0.0b

Counts

27 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ (sin y) y)
1.3b	(* (/ (sin y) y) (/ x z))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 22

Calls

2 calls:

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

series87.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(/ (sin y) y)
62.0ms	(* (/ (sin y) y) (/ x z))

simplify93.0ms

Algorithm

egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	134	92
1	538	88
2	3119	88
3	5001	88

prune60.0ms

Filtered

28 candidates to 22 candidates (78.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	25	3	28
Fresh	3	2	5
Picked	0	1	1
Done	0	0	0
Total	28	6	34

Merged error: 0.0b

Counts

34 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ 1 (/ y (sin y)))
0.2b	(/ y (sin y))
1.3b	(* (/ 1 (/ y (sin y))) (/ x z))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

15×	`clear-num`
13×	`frac-2neg`
12×	`frac-times`
9×	`div-inv`
6×	`associate-/r/`
5×	`associate-/r*`
4×	`associate-l` `associate-*l/`
3×	`associate-*r/`
1×	`associate-r` `un-div-inv` `*-commutative` `remove-double-div` `inv-pow`

Counts

3 → 38

Calls

3 calls:

3.0ms	(/ 1 (/ y (sin y)))
2.0ms	(/ y (sin y))
6.0ms	(* (/ 1 (/ y (sin y))) (/ x z))

series108.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(/ 1 (/ y (sin y)))
21.0ms	(/ y (sin y))
63.0ms	(* (/ 1 (/ y (sin y))) (/ x z))

simplify31.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	188	145
1	786	137
2	5002	136

prune86.0ms

Filtered

47 candidates to 34 candidates (72.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	45	2	47
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	47	6	53

Merged error: 0.0b

Counts

53 → 6

regimes128.0ms

Accuracy

79.3% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 2.9b

bsearch91.0ms

Steps

Iters	Range		Point
8	1.1689018791975134e-63	2.0522646471221353e-60	1.2182418807182123e-60
10	-7.333304706312824e-138	-2.368742889503448e-151	-5.3542120455029826e-138

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	10
1	31	10
2	34	10
3	34	10

end0.0ms

sample1.0s

Algorithm

intervals

Results

284.0ms	1014×	body	1280	valid
239.0ms	5831×	body	80	valid
196.0ms	1036×	body	640	valid
73.0ms	570×	body	320	valid
27.0ms	306×	body	160	valid