Details

sample12.0ms

Algorithm

intervals

Results

5.0ms

291×

body

valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	3
1	11	3
2	13	3
3	13	3

prune1.0ms

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: 0.3b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.3b	(/ (+ x y) (+ y y))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

2×	`flip3-+` `associate-/r/` `flip-+` `associate-/l/`
1×	`frac-2neg` `count-2` `clear-num` `associate-/r*` `div-inv`

Counts

1 → 8

Calls

1 calls:

4.0ms

(/ (+ x y) (+ y y))

series30.0ms

Counts

1 → 3

Calls

1 calls:

30.0ms

(/ (+ x y) (+ y y))

simplify208.0ms

Algorithm

egg-herbie

Counts

11 → 11

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	68	39
1	184	35
2	535	35
3	2410	35
4	5001	35

prune24.0ms

Filtered

11 candidates to 9 candidates (81.8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	9	2	11
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	10	2	12

Merged error: 0b

Counts

12 → 2

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 1/2 (/ x y)) 1/2)
0.0b	(* 1/2 (/ x y))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

3×	`associate-*r/`
2×	`clear-num` `*-commutative`
1×	`+-commutative` `frac-2neg` `distribute-lft1-in` `flip3-+` `associate-r` `un-div-inv` `flip-+` `div-inv`

Counts

2 → 10

Calls

2 calls:

4.0ms	(+ (* 1/2 (/ x y)) 1/2)
3.0ms	(* 1/2 (/ x y))

series38.0ms

Counts

2 → 6

Calls

2 calls:

20.0ms	(+ (* 1/2 (/ x y)) 1/2)
18.0ms	(* 1/2 (/ x y))

simplify91.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 3 (32.0ms)

Iter	Nodes	Cost
0	61	43
1	247	43
2	950	40
3	2891	39
4	5001	39

prune23.0ms

Filtered

16 candidates to 9 candidates (56.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

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

Merged error: 0b

Counts

18 → 2

localize10.0ms

Local error

Found 3 expressions with local error:

8.4b	(/ (/ (+ x y) 2) (pow y 3))
17.8b	(- (* y y) (* y y))
31.1b	(* (/ (/ (+ x y) 2) (pow y 3)) (+ (* y y) (- (* y y) (* y y))))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

37×	`*-commutative`
28×	`associate-/l/`
22×	`frac-times`
16×	`flip3-+` `associate-r` `flip-+` `distribute-lft-out`
12×	`distribute-rgt-out--` `distribute-lft-out--`
11×	`associate-*l/`
10×	`div-inv`
8×	`frac-2neg` `clear-num` `associate-/r*`
6×	`unpow3` `sqr-pow`
4×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in` `times-frac` `associate-/l*` `difference-of-squares`
3×	`sub-neg` `associate-l`
2×	`+-commutative` `associate-*r/`
1×	`flip3--` `+-inverses` `flip--`

Counts

3 → 93

Calls

3 calls:

5.0ms	(/ (/ (+ x y) 2) (pow y 3))
4.0ms	(- (* y y) (* y y))
17.0ms	(* (/ (/ (+ x y) 2) (pow y 3)) (+ (* y y) (- (* y y) (* y y))))

series81.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(/ (/ (+ x y) 2) (pow y 3))
1.0ms	(- (* y y) (* y y))
33.0ms	(* (/ (/ (+ x y) 2) (pow y 3)) (+ (* y y) (- (* y y) (* y y))))

simplify513.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (503.0ms)

Iter	Nodes	Cost
0	574	802
1	4224	532
2	5001	530

prune164.0ms

Filtered

102 candidates to 57 candidates (55.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	102	2	104

Merged error: 0b

Counts

104 → 2

regimes25.0ms

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	8	3
1	8	3

end0.0ms

sample305.0ms

Algorithm

intervals

Results

167.0ms

9111×

body

valid