Details

sample32.0ms

Algorithm

intervals

Results

16.0ms

458×

body

valid

simplify14.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	24	7
1	44	6
2	58	6
3	60	6
4	60	6

prune9.0ms

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: 16.7b

Counts

2 → 2

localize10.0ms

Local error

Found 2 expressions with local error:

0.2b	(fma (/ z t) (/ z t) (/ (* x x) (* y y)))
18.5b	(/ (* x x) (* y y))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

6×	`*-commutative`
4×	`times-frac`
2×	`associate-/r` `associate-/l`
1×	`frac-2neg` `clear-num` `fma-udef` `div-inv`

Counts

2 → 12

Calls

2 calls:

1.0ms	(fma (/ z t) (/ z t) (/ (* x x) (* y y)))
6.0ms	(/ (* x x) (* y y))

series137.0ms

Counts

2 → 6

Calls

2 calls:

105.0ms	(fma (/ z t) (/ z t) (/ (* x x) (* y y)))
32.0ms	(/ (* x x) (* y y))

simplify54.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	56	58
1	147	58
2	388	55
3	1486	55
4	5001	55

prune41.0ms

Filtered

18 candidates to 9 candidates (50.0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	14	4	18
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	15	5	20

Merged error: 0.3b

Counts

20 → 5

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b	(fma (/ z t) (/ z t) (* (/ x y) (/ x y)))
0.3b	(* (/ x y) (/ x y))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

9×	`frac-times` `clear-num`
8×	`frac-2neg`
4×	`div-inv`
3×	`associate-r/` `associate-l/`
1×	`pow2` `swap-sqr` `associate-r` `associate-l` `un-div-inv` `*-commutative` `fma-udef`

Counts

2 → 22

Calls

2 calls:

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

series144.0ms

Counts

2 → 6

Calls

2 calls:

105.0ms	(fma (/ z t) (/ z t) (* (/ x y) (/ x y)))
38.0ms	(* (/ x y) (/ x y))

simplify53.0ms

Algorithm

egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 2 (13.0ms)

Iter	Nodes	Cost
0	90	80
1	318	80
2	1712	76
3	5002	76

prune60.0ms

Filtered

28 candidates to 14 candidates (50.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	25	3	28
Fresh	2	2	4
Picked	0	1	1
Done	0	0	0
Total	27	6	33

Merged error: 0.2b

Counts

33 → 6

localize11.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (/ x y))
0.2b	(fma (/ z t) (/ z t) (* (* x (/ x y)) (/ 1 y)))
3.7b	(* (* x (/ x y)) (/ 1 y))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

18×	`associate-*r/`
16×	`clear-num`
12×	`frac-times`
10×	`frac-2neg`
7×	`un-div-inv`
4×	`associate-*l/`
3×	`associate-r` `associate-l` `*-commutative` `div-inv`
1×	`fma-udef`

Counts

3 → 33

Calls

3 calls:

3.0ms	(* x (/ x y))
1.0ms	(fma (/ z t) (/ z t) (* (* x (/ x y)) (/ 1 y)))
7.0ms	(* (* x (/ x y)) (/ 1 y))

series175.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(* x (/ x y))
118.0ms	(fma (/ z t) (/ z t) (* (* x (/ x y)) (/ 1 y)))
33.0ms	(* (* x (/ x y)) (/ 1 y))

simplify85.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 2 (21.0ms)

Iter	Nodes	Cost
0	132	101
1	539	98
2	2721	95
3	5002	95

prune66.0ms

Filtered

42 candidates to 16 candidates (38.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	42	0	42
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	42	6	48

Merged error: 0.2b

Counts

48 → 6

localize9.0ms

Local error

Found 3 expressions with local error:

0.2b	(* y (/ y x))
0.2b	(fma (/ z t) (/ z t) (/ x (* y (/ y x))))
5.1b	(/ x (* y (/ y x)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 17

Calls

3 calls:

3.0ms	(* y (/ y x))
1.0ms	(fma (/ z t) (/ z t) (/ x (* y (/ y x))))
4.0ms	(/ x (* y (/ y x)))

series173.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(* y (/ y x))
115.0ms	(fma (/ z t) (/ z t) (/ x (* y (/ y x))))
34.0ms	(/ x (* y (/ y x)))

simplify39.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	64	65
1	226	65
2	980	61
3	5001	61

prune55.0ms

Filtered

26 candidates to 16 candidates (61.5%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	25	1	26
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	26	6	32

Merged error: 0.2b

Counts

32 → 6

regimes300.0ms

Accuracy

0% (0.2b remaining)

Error of 0.4b against oracle of 0.2b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	6

end0.0ms

sample936.0ms

Algorithm

intervals

Results

560.0ms

15279×

body

valid