Details

sample11.0ms

Algorithm

intervals

Results

4.0ms	253×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	2
1	15	2
2	23	2
3	31	2
4	33	2
5	33	2

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: 0.0b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(* 200.0 (- x y))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `*-commutative` `flip--`

Counts

1 → 7

Calls

1 calls:

3.0ms

(* 200.0 (- x y))

series28.0ms

Counts

1 → 3

Calls

1 calls:

28.0ms

(* 200.0 (- x y))

simplify72.0ms

Algorithm

egg-herbie

Counts

10 → 10

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	43	26
1	93	26
2	233	26
3	628	26
4	2251	26
5	5001	26

prune15.0ms

Filtered

10 candidates to 4 candidates (40.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	8	2	10
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	8	3	11

Merged error: 0.0b

Counts

11 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b	(* 200.0 (- (* x x) (* y y)))
3.2b	(- (* x x) (* y y))
32.0b	(/ (* 200.0 (- (* x x) (* y y))) (+ x y))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

27×	`*-commutative`
12×	`prod-diff` `difference-of-squares`
8×	`associate-r`
6×	`distribute-rgt-in` `distribute-lft-in` `associate-/l*`
4×	`associate-*r/`
3×	`sub-neg` `flip3--` `flip--`
2×	`fma-neg` `associate-/r/` `associate-/l/`
1×	`frac-2neg` `flip3-+` `clear-num` `flip-+` `div-inv`

Counts

3 → 46

Calls

3 calls:

6.0ms	(* 200.0 (- (* x x) (* y y)))
4.0ms	(- (* x x) (* y y))
9.0ms	(/ (* 200.0 (- (* x x) (* y y))) (+ x y))

series131.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(* 200.0 (- (* x x) (* y y)))
29.0ms	(- (* x x) (* y y))
59.0ms	(/ (* 200.0 (- (* x x) (* y y))) (+ x y))

simplify72.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 3 (67.0ms)

Iter	Nodes	Cost
0	171	259
1	612	256
2	2300	234
3	5002	219

prune55.0ms

Filtered

55 candidates to 22 candidates (40.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	54	1	55
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	55	3	58

Merged error: 0.0b

Counts

58 → 3

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1 (- x y))
0.3b	(/ 200.0 (/ 1 (- x y)))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

7×	`associate-/r/`
3×	`frac-2neg` `clear-num` `associate-/r*` `div-inv`
2×	`flip3--` `flip--`
1×	`inv-pow`

Counts

2 → 15

Calls

2 calls:

3.0ms	(/ 1 (- x y))
3.0ms	(/ 200.0 (/ 1 (- x y)))

series63.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(/ 1 (- x y))
28.0ms	(/ 200.0 (/ 1 (- x y)))

simplify56.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 3 (19.0ms)

Iter	Nodes	Cost
0	64	38
1	209	38
2	760	38
3	1935	37
4	5001	37

prune23.0ms

Filtered

21 candidates to 11 candidates (52.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	20	1	21
Fresh	0	0	0
Picked	0	1	1
Done	1	1	2
Total	21	3	24

Merged error: 0.0b

Counts

24 → 3

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- x y))
0.2b	(/ 1 (/ (/ 1 (- x y)) 200.0))
0.3b	(/ (/ 1 (- x y)) 200.0)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

15×	`associate-/r/`
8×	`clear-num` `associate-/l/`
7×	`div-inv` `associate-/l*`
6×	`frac-2neg`
4×	`remove-double-div`
3×	`flip3--` `flip--`
2×	`inv-pow`
1×	`associate-/r*`

Counts

3 → 33

Calls

3 calls:

3.0ms	(/ 1 (- x y))
5.0ms	(/ 1 (/ (/ 1 (- x y)) 200.0))
4.0ms	(/ (/ 1 (- x y)) 200.0)

series105.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(/ 1 (- x y))
28.0ms	(/ 1 (/ (/ 1 (- x y)) 200.0))
42.0ms	(/ (/ 1 (- x y)) 200.0)

simplify56.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 3 (22.0ms)

Iter	Nodes	Cost
0	94	70
1	283	68
2	966	66
3	1983	64
4	5001	64

prune54.0ms

Filtered

42 candidates to 26 candidates (61.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	41	1	42
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	41	4	45

Merged error: 0b

Counts

45 → 4

regimes60.0ms

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	6	2
1	6	2

end0.0ms

sample271.0ms

Algorithm

intervals

Results

130.0ms	7899×	body	80	valid
3.0ms	52×	body	1280	valid
3.0ms	48×	body	640	valid
2.0ms	24×	body	2560	valid
1.0ms	22×	body	320	valid
0.0ms	10×	body	160	valid