Details

sample13.0ms

Algorithm

intervals

Results

5.0ms	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

simplify25.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

localize6.0ms

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))

series44.0ms

Counts

1 → 3

Calls

1 calls:

44.0ms

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

simplify49.0ms

Algorithm

egg-herbie

Counts

7 → 7

Iterations

Useful iterations: 4 (47.0ms)

Iter	Nodes	Cost
0	65	34
1	155	33
2	414	33
3	1636	33
4	5001	32

prune19.0ms

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

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

6×	`frac-sub`
3×	`flip3-+` `flip-+`
2×	`frac-2neg` `associate--l+` `clear-num`
1×	`+-commutative` `sub-neg` `flip3--` `flip--`

Counts

1 → 12

Calls

1 calls:

5.0ms

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

series45.0ms

Counts

1 → 3

Calls

1 calls:

45.0ms

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

simplify70.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 3 (67.0ms)

Iter	Nodes	Cost
0	182	164
1	651	150
2	3304	137
3	5003	136

prune41.0ms

Filtered

15 candidates to 12 candidates (80.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	13	2	15
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	14	4	18

Merged error: 0.0b

Counts

18 → 4

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

6×	`frac-add`
3×	`flip3--` `flip--`
2×	`associate-+r+` `frac-2neg` `clear-num`
1×	`+-commutative` `associate-+r-` `sub-neg` `fma-def` `flip3-+` `flip-+` `div-inv`

Counts

1 → 13

Calls

1 calls:

9.0ms

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

series40.0ms

Counts

1 → 3

Calls

1 calls:

40.0ms

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

simplify89.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	239	148
1	983	138
2	4149	132
3	5001	132

prune47.0ms

Filtered

16 candidates to 13 candidates (81.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	15	1	16
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	16	4	20

Merged error: 0.0b

Counts

20 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- x (/ y 2.0)) (- x (/ y 2.0)))
0.0b	(- (/ x 2.0) (- x (/ y 2.0)))
17.6b	(- (* (/ x 2.0) (/ x 2.0)) (* (- x (/ y 2.0)) (- x (/ y 2.0))))
31.5b	(/ (- (* (/ x 2.0) (/ x 2.0)) (* (- x (/ y 2.0)) (- x (/ y 2.0)))) (- (/ x 2.0) (- x (/ y 2.0))))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

276×	`frac-times`
268×	`frac-sub`
208×	`flip3--` `flip--`
149×	`clear-num`
133×	`frac-2neg`
130×	`associate-/l/`
114×	`associate-r/` `associate-l/`
17×	`*-commutative`
16×	`un-div-inv`
14×	`div-inv`
10×	`prod-diff` `associate--r+`
9×	`sub-neg`
8×	`associate-/r/` `difference-of-squares`
6×	`distribute-rgt-in` `distribute-lft-in` `fma-neg`
5×	`div-sub`
4×	`associate-/l*`
3×	`swap-sqr` `associate-r` `associate-l`
1×	`pow2` `associate--r-`

Counts

4 → 333

Calls

4 calls:

5.0ms	(* (- x (/ y 2.0)) (- x (/ y 2.0)))
5.0ms	(- (/ x 2.0) (- x (/ y 2.0)))
23.0ms	(- (* (/ x 2.0) (/ x 2.0)) (* (- x (/ y 2.0)) (- x (/ y 2.0))))
31.0ms	(/ (- (* (/ x 2.0) (/ x 2.0)) (* (- x (/ y 2.0)) (- x (/ y 2.0)))) (- (/ x 2.0) (- x (/ y 2.0))))

series243.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* (- x (/ y 2.0)) (- x (/ y 2.0)))
40.0ms	(- (/ x 2.0) (- x (/ y 2.0)))
47.0ms	(- (* (/ x 2.0) (/ x 2.0)) (* (- x (/ y 2.0)) (- x (/ y 2.0))))
125.0ms	(/ (- (* (/ x 2.0) (/ x 2.0)) (* (- x (/ y 2.0)) (- x (/ y 2.0)))) (- (/ x 2.0) (- x (/ y 2.0))))

simplify110.0ms

Algorithm

egg-herbie

Counts

345 → 345

Iterations

Useful iterations: 1 (47.0ms)

Iter	Nodes	Cost
0	2531	6875
1	5001	6638

prune1.1s

Filtered

345 candidates to 221 candidates (64.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	345	0	345
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	345	4	349

Merged error: 0.0b

Counts

349 → 4

regimes40.0ms

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	8	4
1	8	4

end0.0ms

sample349.0ms

Algorithm

intervals

Results

169.0ms	7418×	body	80	valid
20.0ms	212×	body	1280	valid
12.0ms	99×	body	2560	valid
11.0ms	147×	body	640	valid
5.0ms	83×	body	320	valid
2.0ms	43×	body	160	valid