Details

sample25.0ms

Algorithm

intervals

Results

12.0ms	346×	body	80	valid
1.0ms	4×	body	640	valid
0.0ms	3×	body	1280	valid

simplify51.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (9.0ms)

Iter	Nodes	Cost
0	31	6
1	92	6
2	309	6
3	880	5
4	1630	5
5	1872	5
6	1886	5
7	1886	5

prune7.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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: 0.0b

Counts

2 → 2

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma t x (* y 5.0))
0.0b	(fma (+ y z) (+ x x) (fma t x (* y 5.0)))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

2×	`fma-udef`

Counts

2 → 2

Calls

2 calls:

1.0ms	(fma t x (* y 5.0))
1.0ms	(fma (+ y z) (+ x x) (fma t x (* y 5.0)))

series89.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(fma t x (* y 5.0))
56.0ms	(fma (+ y z) (+ x x) (fma t x (* y 5.0)))

simplify33.0ms

Algorithm

egg-herbie

Counts

8 → 8

Iterations

Useful iterations: 3 (8.0ms)

Iter	Nodes	Cost
0	41	21
1	86	21
2	191	19
3	378	17
4	722	17
5	885	17
6	893	17
7	893	17

prune21.0ms

Filtered

8 candidates to 5 candidates (62.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	7	1	8
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	8	2	10

Merged error: 0.0b

Counts

10 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
0.0b	(+ (+ (+ y z) z) y)
0.0b	(+ (+ y z) z)
0.0b	(* x (+ (+ (+ (+ y z) z) y) t))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

72×	`associate-+l+`
22×	`+-commutative`
16×	`distribute-rgt-in` `distribute-lft-in`
4×	`flip3-+` `flip-+`
2×	`fma-def` `associate-r/` `-commutative`

Counts

4 → 52

Calls

4 calls:

11.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
5.0ms	(+ (+ (+ y z) z) y)
4.0ms	(+ (+ y z) z)
8.0ms	(* x (+ (+ (+ (+ y z) z) y) t))

series168.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
31.0ms	(+ (+ (+ y z) z) y)
28.0ms	(+ (+ y z) z)
39.0ms	(* x (+ (+ (+ (+ y z) z) y) t))

simplify35.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	333	302
1	1057	277
2	5001	258

prune137.0ms

Filtered

64 candidates to 42 candidates (65.6%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	60	4	64
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	62	4	66

Merged error: 0b

Counts

66 → 4

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma x (fma 2 z y) (* x t))
0.0b	(+ (* x y) (fma 5.0 y (fma x (fma 2 z y) (* x t))))
0.0b	(fma 5.0 y (fma x (fma 2 z y) (* x t)))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

3×	`fma-udef`
2×	`fma-def`
1×	`+-commutative` `associate-+r+` `flip3-+` `*-commutative` `flip-+`

Counts

3 → 8

Calls

3 calls:

1.0ms	(fma x (fma 2 z y) (* x t))
3.0ms	(+ (* x y) (fma 5.0 y (fma x (fma 2 z y) (* x t))))
1.0ms	(fma 5.0 y (fma x (fma 2 z y) (* x t)))

series169.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(fma x (fma 2 z y) (* x t))
71.0ms	(+ (* x y) (fma 5.0 y (fma x (fma 2 z y) (* x t))))
56.0ms	(fma 5.0 y (fma x (fma 2 z y) (* x t)))

simplify36.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	113	82
1	334	76
2	1254	72
3	5001	72

prune51.0ms

Filtered

17 candidates to 13 candidates (76.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	16	1	17
Fresh	1	2	3
Picked	1	0	1
Done	0	0	0
Total	18	3	21

Merged error: 0b

Counts

21 → 3

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma x (fma 2 z y) (* x t))
0.0b	(fma y x (fma 5.0 y (fma x (fma 2 z y) (* x t))))
0.0b	(fma 5.0 y (fma x (fma 2 z y) (* x t)))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

3×	`fma-udef`

Counts

3 → 3

Calls

3 calls:

1.0ms	(fma x (fma 2 z y) (* x t))
1.0ms	(fma y x (fma 5.0 y (fma x (fma 2 z y) (* x t))))
1.0ms	(fma 5.0 y (fma x (fma 2 z y) (* x t)))

series164.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(fma x (fma 2 z y) (* x t))
66.0ms	(fma y x (fma 5.0 y (fma x (fma 2 z y) (* x t))))
55.0ms	(fma 5.0 y (fma x (fma 2 z y) (* x t)))

simplify19.0ms

Algorithm

egg-herbie

Counts

12 → 12

Iterations

Useful iterations: 4 (13.0ms)

Iter	Nodes	Cost
0	60	39
1	156	39
2	297	31
3	391	31
4	408	29
5	408	29

prune26.0ms

Filtered

12 candidates to 9 candidates (75.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	12	0	12
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	12	3	15

Merged error: 0b

Counts

15 → 3

regimes85.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	5
1	12	5

end0.0ms

sample682.0ms

Algorithm

intervals

Results

368.0ms	10673×	body	80	valid
14.0ms	113×	body	640	valid
14.0ms	90×	body	1280	valid
7.0ms	70×	body	320	valid
2.0ms	25×	body	160	valid