Details

sample11.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	3
1	9	3
2	9	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: 0.0b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
20×	`times-frac`
12×	`add-cube-cbrt`
6×	`distribute-lft-out`
5×	`associate-/r*` `distribute-lft-out--` `difference-of-squares`
4×	`associate-/l*`
3×	`add-exp-log` `add-cbrt-cube`
2×	`associate-/r/` `associate-/l/`
1×	`pow1` `cbrt-undiv` `flip3--` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip--` `flip-+` `div-inv` `add-log-exp`

Counts

1 → 45

Calls

1 calls:

7.0ms

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

series60.0ms

Counts

1 → 3

Calls

1 calls:

60.0ms

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

simplify41.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	169	288
1	510	274
2	1435	270
3	5001	270

prune73.0ms

Filtered

48 candidates to 32 candidates (66.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	43	5	48
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	44	5	49

Merged error: 0b

Counts

49 → 5

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1 (/ (- x y) (+ x y)))
0.0b	(/ (- x y) (+ x y))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

178×	`times-frac`
174×	`*-un-lft-identity`
122×	`add-sqr-sqrt`
80×	`add-cube-cbrt`
30×	`associate-/r*`
26×	`distribute-lft-out`
21×	`distribute-lft-out--` `difference-of-squares`
15×	`add-exp-log`
11×	`associate-/r/`
9×	`add-cbrt-cube`
8×	`div-exp` `associate-/l*`
6×	`div-inv`
5×	`flip3-+` `flip-+`
4×	`cbrt-undiv`
3×	`pow1`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `associate-/l/` `add-log-exp`
1×	`flip3--` `pow-flip` `div-sub` `flip--` `inv-pow`

Counts

2 → 174

Calls

2 calls:

10.0ms	(/ 1 (/ (- x y) (+ x y)))
7.0ms	(/ (- x y) (+ x y))

series121.0ms

Counts

2 → 6

Calls

2 calls:

60.0ms	(/ 1 (/ (- x y) (+ x y)))
61.0ms	(/ (- x y) (+ x y))

simplify57.0ms

Algorithm

egg-herbie

Counts

180 → 180

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	486	1464
1	2198	1313
2	5001	1169

prune193.0ms

Filtered

180 candidates to 79 candidates (43.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	176	4	180
Fresh	4	0	4
Picked	1	0	1
Done	0	0	0
Total	181	4	185

Merged error: 0b

Counts

185 → 4

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (+ x y))
0.0b	(/ 1 (- (/ x (+ x y)) (/ y (+ x y))))
0.0b	(/ y (+ x y))
0.0b	(- (/ x (+ x y)) (/ y (+ x y)))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

190×	`*-un-lft-identity`
155×	`times-frac`
114×	`add-sqr-sqrt`
54×	`add-cube-cbrt`
35×	`distribute-lft-out--`
28×	`associate-/r/` `distribute-lft-out`
25×	`associate-/r*`
20×	`difference-of-squares`
15×	`distribute-rgt-out--`
13×	`div-inv`
12×	`add-exp-log` `flip3-+` `flip-+`
10×	`add-cbrt-cube`
9×	`associate-/l*`
6×	`add-log-exp`
5×	`pow1`
4×	`div-exp`
3×	`cbrt-undiv` `frac-2neg` `clear-num`
2×	`flip3--` `frac-sub` `flip--` `sub-div`
1×	`sub-neg` `rec-exp` `pow-flip` `diff-log` `1-exp` `inv-pow`

Counts

4 → 185

Calls

4 calls:

5.0ms	(/ x (+ x y))
27.0ms	(/ 1 (- (/ x (+ x y)) (/ y (+ x y))))
5.0ms	(/ y (+ x y))
20.0ms	(- (/ x (+ x y)) (/ y (+ x y)))

series233.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(/ x (+ x y))
80.0ms	(/ 1 (- (/ x (+ x y)) (/ y (+ x y))))
37.0ms	(/ y (+ x y))
74.0ms	(- (/ x (+ x y)) (/ y (+ x y)))

simplify51.0ms

Algorithm

egg-herbie

Counts

197 → 197

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	431	1483
1	1628	1397
2	5001	1296

prune278.0ms

Filtered

197 candidates to 115 candidates (58.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	196	1	197
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	197	4	201

Merged error: 0b

Counts

201 → 4

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- x y))
0.0b	(/ 1 (+ x y))
0.0b	(/ (/ 1 (- x y)) (/ 1 (+ x y)))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

954×	`times-frac`
631×	`*-un-lft-identity`
491×	`add-sqr-sqrt`
369×	`add-cube-cbrt`
87×	`associate-/r/`
70×	`distribute-lft-out`
61×	`distribute-lft-out--` `difference-of-squares`
51×	`add-exp-log`
44×	`div-inv`
36×	`div-exp`
27×	`associate-/r` `associate-/l`
23×	`flip3-+` `flip-+`
20×	`flip3--` `flip--`
19×	`add-cbrt-cube`
10×	`cbrt-undiv` `rec-exp` `1-exp`
5×	`pow1`
3×	`frac-2neg` `clear-num` `add-log-exp`
2×	`pow-flip` `inv-pow`
1×	`associate-/l/`

Counts

3 → 527

Calls

3 calls:

5.0ms	(/ 1 (- x y))
5.0ms	(/ 1 (+ x y))
19.0ms	(/ (/ 1 (- x y)) (/ 1 (+ x y)))

series132.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(/ 1 (- x y))
30.0ms	(/ 1 (+ x y))
65.0ms	(/ (/ 1 (- x y)) (/ 1 (+ x y)))

simplify103.0ms

Algorithm

egg-herbie

Counts

536 → 536

Iterations

Useful iterations: 1 (38.0ms)

Iter	Nodes	Cost
0	1792	6271
1	5001	5506

prune715.0ms

Filtered

536 candidates to 206 candidates (38.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	536	0	536
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	536	4	540

Merged error: 0b

Counts

540 → 4

regimes43.0ms

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	11	6
1	11	6

end0.0ms

sample271.0ms

Algorithm

intervals

Results

150.0ms

8000×

body

valid