Details

sample21.0ms

Algorithm

intervals

Results

10.0ms

472×

body

valid

simplify311.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	13	7
1	23	6
2	35	4
3	45	4
4	54	4
5	87	4
6	156	4
7	206	4
8	219	4
9	312	4
10	640	4
11	3180	4
12	5001	4

prune6.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.1b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ (* x x) (* y y)) (* y y))
0.0b	(+ (* x x) (* y y))
0.1b	(+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

8×	`associate-+l+`
6×	`+-commutative`
3×	`flip3-+` `flip-+`

Counts

3 → 15

Calls

3 calls:

6.0ms	(+ (+ (* x x) (* y y)) (* y y))
4.0ms	(+ (* x x) (* y y))
8.0ms	(+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))

series97.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(+ (+ (* x x) (* y y)) (* y y))
26.0ms	(+ (* x x) (* y y))
34.0ms	(+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))

simplify93.0ms

Algorithm

egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	146	166
1	673	142
2	2485	122
3	5001	122

prune54.0ms

Filtered

24 candidates to 17 candidates (70.8%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	20	4	24
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	21	4	25

Merged error: 0.1b

Counts

25 → 4

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (pow x 2) (* y (+ y y)))
0.1b	(+ (* y y) (+ (pow x 2) (* y (+ y y))))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

14×	`associate-+r+`
7×	`+-commutative`
4×	`distribute-rgt-in` `distribute-lft-in`
2×	`flip3-+` `flip-+`

Counts

2 → 16

Calls

2 calls:

5.0ms	(+ (pow x 2) (* y (+ y y)))
7.0ms	(+ (* y y) (+ (pow x 2) (* y (+ y y))))

series71.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(+ (pow x 2) (* y (+ y y)))
38.0ms	(+ (* y y) (+ (pow x 2) (* y (+ y y))))

simplify89.0ms

Algorithm

egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	130	131
1	557	124
2	2301	124
3	5001	124

prune35.0ms

Filtered

22 candidates to 10 candidates (45.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	20	2	22
Fresh	3	0	3
Picked	0	1	1
Done	0	0	0
Total	23	3	26

Merged error: 0.0b

Counts

26 → 3

localize7.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (* 3 y) y)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

2×	`associate-l` `*-commutative`

Counts

1 → 3

Calls

1 calls:

3.0ms

(* (* 3 y) y)

series24.0ms

Counts

1 → 3

Calls

1 calls:

24.0ms

(* (* 3 y) y)

simplify183.0ms

Algorithm

egg-herbie

Counts

6 → 6

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	12	8
1	26	8
2	68	8
3	177	8
4	579	8
5	3304	8
6	5001	8

prune7.0ms

Filtered

6 candidates to 2 candidates (33.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	6	0	6
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	6	3	9

Merged error: 0.0b

Counts

9 → 3

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* y y) (+ (pow x 2) (* y (+ y y))))
0.2b	(* (+ (pow x 2) (* y (+ y y))) (+ (pow x 2) (* y (+ y y))))
11.6b	(+ (- (* (+ (pow x 2) (* y (+ y y))) (+ (pow x 2) (* y (+ y y))))) (pow y 4))
33.2b	(/ (+ (- (* (+ (pow x 2) (* y (+ y y))) (+ (pow x 2) (* y (+ y y))))) (pow y 4)) (- (* y y) (+ (pow x 2) (* y (+ y y)))))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

22×	`distribute-rgt-in` `distribute-lft-in`
20×	`associate-+r+`
16×	`+-commutative`
12×	`associate-+l+` `distribute-neg-in`
8×	`flip3-+` `flip-+`
6×	`associate--r+`
4×	`frac-times`
2×	`neg-sub0` `associate-+l-` `flip3--` `associate-r/` `associate-l/` `associate-/r/` `flip--` `associate-/l/`
1×	`pow2` `sub-neg` `frac-2neg` `div-sub` `clear-num` `*-commutative` `div-inv`

Counts

4 → 56

Calls

4 calls:

8.0ms	(- (* y y) (+ (pow x 2) (* y (+ y y))))
10.0ms	(* (+ (pow x 2) (* y (+ y y))) (+ (pow x 2) (* y (+ y y))))
13.0ms	(+ (- (* (+ (pow x 2) (* y (+ y y))) (+ (pow x 2) (* y (+ y y))))) (pow y 4))
19.0ms	(/ (+ (- (* (+ (pow x 2) (* y (+ y y))) (+ (pow x 2) (* y (+ y y))))) (pow y 4)) (- (* y y) (+ (pow x 2) (* y (+ y y)))))

series266.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(- (* y y) (+ (pow x 2) (* y (+ y y))))
46.0ms	(* (+ (pow x 2) (* y (+ y y))) (+ (pow x 2) (* y (+ y y))))
61.0ms	(+ (- (* (+ (pow x 2) (* y (+ y y))) (+ (pow x 2) (* y (+ y y))))) (pow y 4))
108.0ms	(/ (+ (- (* (+ (pow x 2) (* y (+ y y))) (+ (pow x 2) (* y (+ y y))))) (pow y 4)) (- (* y y) (+ (pow x 2) (* y (+ y y)))))

simplify55.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	360	886
1	1603	804
2	5002	801

prune130.0ms

Filtered

68 candidates to 37 candidates (54.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	65	3	68
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	66	5	71

Merged error: 0.0b

Counts

71 → 5

regimes51.0ms

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	11	4
1	11	4

end0.0ms

sample510.0ms

Algorithm

intervals

Results

299.0ms

14378×

body

valid