Details

sample14.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify33.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	17	4
1	28	4
2	43	4
3	56	4
4	72	4
5	133	4
6	214	4
7	265	4
8	297	4
9	297	4

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

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

58×	`*-un-lft-identity`
40×	`add-sqr-sqrt`
30×	`times-frac`
19×	`distribute-lft-out--`
14×	`add-cube-cbrt`
13×	`difference-of-squares`
6×	`associate-/r*` `distribute-lft-out`
5×	`associate-/l*`
3×	`add-exp-log` `add-cbrt-cube`
2×	`flip3--` `associate-/r/` `flip--` `associate-/l/`
1×	`pow1` `cbrt-undiv` `expm1-log1p-u` `frac-2neg` `div-sub` `div-exp` `clear-num` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 60

Calls

1 calls:

11.0ms

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

series54.0ms

Counts

1 → 3

Calls

1 calls:

54.0ms

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

simplify149.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	283	498
1	886	475
2	4321	474
3	5001	474

prune127.0ms

Filtered

63 candidates to 40 candidates (63.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	61	2	63
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	61	3	64

Merged error: 0b

Counts

64 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite154.0ms

Algorithm

rewrite-expression-head

Rules

1352×	`*-un-lft-identity`
946×	`times-frac`
843×	`add-sqr-sqrt`
576×	`prod-diff`
517×	`add-cube-cbrt`
335×	`distribute-lft-out--`
161×	`distribute-lft-out` `difference-of-squares`
106×	`associate-/r/`
54×	`flip3--` `flip--`
53×	`div-inv`
24×	`fma-neg`
12×	`associate-/r*`
7×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/l*`
5×	`add-log-exp`
3×	`pow1` `expm1-log1p-u` `distribute-rgt-out--` `log1p-expm1-u`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`
1×	`sub-neg` `diff-log` `frac-sub` `sub-div`

Counts

3 → 722

Calls

3 calls:

8.0ms	(/ y (- 2.0 (+ x y)))
8.0ms	(/ x (- 2.0 (+ x y)))
58.0ms	(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))

series176.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(/ y (- 2.0 (+ x y)))
47.0ms	(/ x (- 2.0 (+ x y)))
76.0ms	(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))

simplify279.0ms

Algorithm

egg-herbie

Counts

731 → 731

Iterations

Useful iterations: 2 (93.0ms)

Iter	Nodes	Cost
0	1304	23967
1	3665	17833
2	5001	17718

prune1.1s

Filtered

731 candidates to 258 candidates (35.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	730	1	731
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	732	2	734

Merged error: 0b

Counts

734 → 2

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ y (- 2.0 (+ x y)))
0.0b	(/ 1 (- 2.0 (+ x y)))
0.1b	(fma x (/ 1 (- 2.0 (+ x y))) (- (/ y (- 2.0 (+ x y)))))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

65×	`*-un-lft-identity`
41×	`add-sqr-sqrt`
36×	`times-frac`
25×	`add-cube-cbrt`
16×	`distribute-lft-out--`
12×	`associate-/r*`
9×	`add-exp-log`
8×	`distribute-lft-out` `difference-of-squares`
7×	`add-cbrt-cube`
6×	`associate-/l*`
4×	`pow1` `associate-/r/`
3×	`expm1-log1p-u` `div-exp` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `flip3--` `frac-2neg` `clear-num` `flip--` `div-inv`
1×	`rec-exp` `pow-flip` `1-exp` `fma-udef` `inv-pow`

Counts

3 → 100

Calls

3 calls:

8.0ms	(/ y (- 2.0 (+ x y)))
8.0ms	(/ 1 (- 2.0 (+ x y)))
1.0ms	(fma x (/ 1 (- 2.0 (+ x y))) (- (/ y (- 2.0 (+ x y)))))

series175.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(/ y (- 2.0 (+ x y)))
49.0ms	(/ 1 (- 2.0 (+ x y)))
74.0ms	(fma x (/ 1 (- 2.0 (+ x y))) (- (/ y (- 2.0 (+ x y)))))

simplify58.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	318	676
1	1122	613
2	5002	583

prune235.0ms

Filtered

109 candidates to 68 candidates (62.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	109	0	109
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	109	2	111

Merged error: 0b

Counts

111 → 2

regimes40.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	4
1	8	4

end0.0ms

sample314.0ms

Algorithm

intervals

Results

179.0ms	7998×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid