Details

sample12.0ms

Algorithm

intervals

Results

4.0ms	245×	body	80	valid
0.0ms	5×	body	1280	valid
0.0ms	2×	body	2560	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid

simplify20.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	3
1	19	3
2	29	3
3	41	3
4	51	3
5	79	3
6	134	3
7	169	3
8	185	3
9	213	3
10	226	3
11	226	3

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: 0.1b

Counts

2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ x (/ (- x y) 2.0))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

1×	`+-commutative` `associate-+r-` `flip3-+` `div-sub` `flip-+`

Counts

1 → 4

Calls

1 calls:

3.0ms

(+ x (/ (- x y) 2.0))

series37.0ms

Counts

1 → 3

Calls

1 calls:

37.0ms

(+ x (/ (- x y) 2.0))

simplify43.0ms

Algorithm

egg-herbie

Counts

7 → 7

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	61	34
1	144	34
2	373	34
3	1518	34
4	5001	34

prune16.0ms

Filtered

7 candidates to 5 candidates (71.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	4	3	7
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	5	3	8

Merged error: 0.0b

Counts

8 → 3

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (* 1.5 x) (* 0.5 y))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

1×	`sub-neg` `flip3--` `flip--`

Counts

1 → 4

Calls

1 calls:

4.0ms

(- (* 1.5 x) (* 0.5 y))

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

(- (* 1.5 x) (* 0.5 y))

simplify104.0ms

Algorithm

egg-herbie

Counts

7 → 7

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	64	37
1	188	37
2	524	37
3	967	37
4	2010	37
5	5002	37

prune11.0ms

Filtered

7 candidates to 3 candidates (42.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	7	0	7
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	7	3	10

Merged error: 0.0b

Counts

10 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ (- x y) 2.0))
0.0b	(* (/ (- x y) 2.0) (/ (- x y) 2.0))
14.4b	(- (* x x) (* (/ (- x y) 2.0) (/ (- x y) 2.0)))
31.5b	(/ (- (* x x) (* (/ (- x y) 2.0) (/ (- x y) 2.0))) (- x (/ (- x y) 2.0)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

26×	`associate-/l/`
25×	`frac-times`
16×	`flip3--` `flip--`
14×	`clear-num`
13×	`frac-2neg`
9×	`*-commutative`
8×	`difference-of-squares`
5×	`associate-r/` `associate-l/` `div-inv`
4×	`associate-/l*`
2×	`sub-neg` `div-sub` `associate-/r/`
1×	`pow2` `swap-sqr` `associate-r` `associate-l` `un-div-inv` `associate--r-`

Counts

4 → 66

Calls

4 calls:

2.0ms	(- x (/ (- x y) 2.0))
7.0ms	(* (/ (- x y) 2.0) (/ (- x y) 2.0))
6.0ms	(- (* x x) (* (/ (- x y) 2.0) (/ (- x y) 2.0)))
9.0ms	(/ (- (* x x) (* (/ (- x y) 2.0) (/ (- x y) 2.0))) (- x (/ (- x y) 2.0)))

series200.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(- x (/ (- x y) 2.0))
24.0ms	(* (/ (- x y) 2.0) (/ (- x y) 2.0))
32.0ms	(- (* x x) (* (/ (- x y) 2.0) (/ (- x y) 2.0)))
106.0ms	(/ (- (* x x) (* (/ (- x y) 2.0) (/ (- x y) 2.0))) (- x (/ (- x y) 2.0)))

simplify60.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	365	556
1	1795	539
2	5001	539

prune127.0ms

Filtered

78 candidates to 43 candidates (55.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	76	2	78
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	78	3	81

Merged error: 0.0b

Counts

81 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (- x y) 2.0) (/ (- x y) 2.0))
0.0b	(/ 1 (- x (/ (- x y) 2.0)))
14.4b	(- (* x x) (* (/ (- x y) 2.0) (/ (- x y) 2.0)))
31.6b	(* (- (* x x) (* (/ (- x y) 2.0) (/ (- x y) 2.0))) (/ 1 (- x (/ (- x y) 2.0))))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

31×	`frac-times`
24×	`associate-/l/`
19×	`flip3--` `flip--`
18×	`clear-num`
16×	`frac-2neg`
10×	`*-commutative`
8×	`associate-*r/` `difference-of-squares`
7×	`associate-*l/`
6×	`div-inv`
5×	`associate-l`
4×	`associate-r` `associate-/r/`
3×	`un-div-inv`
1×	`pow2` `sub-neg` `swap-sqr` `inv-pow`

Counts

4 → 76

Calls

4 calls:

7.0ms	(* (/ (- x y) 2.0) (/ (- x y) 2.0))
3.0ms	(/ 1 (- x (/ (- x y) 2.0)))
6.0ms	(- (* x x) (* (/ (- x y) 2.0) (/ (- x y) 2.0)))
11.0ms	(* (- (* x x) (* (/ (- x y) 2.0) (/ (- x y) 2.0))) (/ 1 (- x (/ (- x y) 2.0))))

series216.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* (/ (- x y) 2.0) (/ (- x y) 2.0))
51.0ms	(/ 1 (- x (/ (- x y) 2.0)))
33.0ms	(- (* x x) (* (/ (- x y) 2.0) (/ (- x y) 2.0)))
108.0ms	(* (- (* x x) (* (/ (- x y) 2.0) (/ (- x y) 2.0))) (/ 1 (- x (/ (- x y) 2.0))))

simplify107.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	363	691
1	2279	660
2	5001	660

prune146.0ms

Filtered

88 candidates to 48 candidates (54.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	88	3	91

Merged error: 0.0b

Counts

91 → 3

regimes27.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	3
1	9	3

end0.0ms

sample301.0ms

Algorithm

intervals

Results

133.0ms	7418×	body	80	valid
19.0ms	212×	body	1280	valid
9.0ms	99×	body	2560	valid
9.0ms	147×	body	640	valid
5.0ms	43×	body	160	valid
4.0ms	83×	body	320	valid