Details

sample118.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 43.444824%

Guaranteed chance to sample good point: 96.37384%

Results

4.0ms	256×	body	80	valid
0.0ms	2×	body	80	invalid

simplify14.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	3
1	25	3
2	53	3
3	80	3
4	98	3
5	107	3
6	113	3
7	113	3

prune2.0ms

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

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (+ x y) (+ x y))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
8×	`pow1`
7×	`add-sqr-sqrt`
6×	`flip3-+` `swap-sqr` `flip-+` `distribute-lft-out`
5×	`add-cube-cbrt`
4×	`frac-times` `associate-r` `associate-l`
3×	`add-exp-log` `add-cbrt-cube`
2×	`associate-r/` `associate-l/`
1×	`pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

1 → 40

Calls

1 calls:

8.0ms

(* (+ x y) (+ x y))

series4.0ms

Counts

1 → 3

Calls

1 calls:

4.0ms

(* (+ x y) (+ x y))

simplify37.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	189	213
1	901	188
2	5001	170

prune31.0ms

Filtered

19 candidates to 43 candidates (-126.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	42	1	43
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	42	2	44

Merged error: 0.0b

Counts

44 → 2

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* y (- y x)) (pow x 2))
0.1b	(* (+ (pow x 3) (pow y 3)) (+ (pow x 3) (pow y 3)))
0.2b	(* (+ (* y (- y x)) (pow x 2)) (+ (pow x 2) (* y (- y x))))
45.8b	(/ (* (+ (pow x 3) (pow y 3)) (+ (pow x 3) (pow y 3))) (* (+ (* y (- y x)) (pow x 2)) (+ (pow x 2) (* y (- y x)))))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

104×	`*-un-lft-identity`
46×	`distribute-lft-out`
40×	`unpow-prod-down` `cube-prod`
25×	`flip3-+` `flip-+`
23×	`swap-sqr`
20×	`add-exp-log` `add-cbrt-cube`
16×	`frac-times`
14×	`add-sqr-sqrt`
13×	`pow1`
12×	`associate-r` `associate-l`
10×	`add-cube-cbrt`
8×	`associate-r/` `associate-l/` `associate-/r/` `associate-/l/`
6×	`prod-exp` `cbrt-unprod` `add-log-exp`
4×	`cbrt-undiv` `distribute-rgt-in` `associate-+l+` `distribute-lft-in` `div-exp` `sum-cubes`
2×	`sub-neg` `pow-prod-down` `*-commutative` `unswap-sqr`
1×	`+-commutative` `pow2` `frac-2neg` `times-frac` `pow-plus` `clear-num` `associate-/r` `sum-log` `pow-sqr` `pow-prod-up` `div-inv` `associate-/l`

Counts

4 → 147

Calls

4 calls:

11.0ms	(+ (* y (- y x)) (pow x 2))
24.0ms	(* (+ (pow x 3) (pow y 3)) (+ (pow x 3) (pow y 3)))
13.0ms	(* (+ (* y (- y x)) (pow x 2)) (+ (pow x 2) (* y (- y x))))
37.0ms	(/ (* (+ (pow x 3) (pow y 3)) (+ (pow x 3) (pow y 3))) (* (+ (* y (- y x)) (pow x 2)) (+ (pow x 2) (* y (- y x)))))

series43.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(+ (* y (- y x)) (pow x 2))
11.0ms	(* (+ (pow x 3) (pow y 3)) (+ (pow x 3) (pow y 3)))
12.0ms	(* (+ (* y (- y x)) (pow x 2)) (+ (pow x 2) (* y (- y x))))
14.0ms	(/ (* (+ (pow x 3) (pow y 3)) (+ (pow x 3) (pow y 3))) (* (+ (* y (- y x)) (pow x 2)) (+ (pow x 2) (* y (- y x)))))

simplify135.0ms

Algorithm

egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 2 (116.0ms)

Iter	Nodes	Cost
0	734	2051
1	4458	1691
2	5001	1620

prune334.0ms

Filtered

92 candidates to 159 candidates (-72.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	158	1	159
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	158	3	161

Merged error: 0b

Counts

161 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (pow y 2) (* 2 (* x y)))
0.0b	(* 2 (* x y))
0.0b	(+ (pow x 2) (+ (pow y 2) (* 2 (* x y))))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
8×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`*-un-lft-identity`
4×	`add-sqr-sqrt` `add-cube-cbrt` `sum-log`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`+-commutative` `flip3-+` `flip-+`
1×	`associate-+r+` `associate-r` `*-commutative` `distribute-lft-out`

Counts

3 → 43

Calls

3 calls:

4.0ms	(+ (pow y 2) (* 2 (* x y)))
5.0ms	(* 2 (* x y))
8.0ms	(+ (pow x 2) (+ (pow y 2) (* 2 (* x y))))

series18.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(+ (pow y 2) (* 2 (* x y)))
3.0ms	(* 2 (* x y))
7.0ms	(+ (pow x 2) (+ (pow y 2) (* 2 (* x y))))

simplify38.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	226	296
1	985	272
2	5001	265

prune70.0ms

Filtered

35 candidates to 52 candidates (-48.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	52	0	52
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	52	3	55

Merged error: 0b

Counts

55 → 3

regimes151.0ms

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 (0.0ms)

Iter	Nodes	Cost
0	13	6
1	13	6

end0.0ms

sample434.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 43.444824%

Guaranteed chance to sample good point: 96.37384%

Results

144.0ms	8000×	body	80	valid
1.0ms	47×	body	80	invalid

Details

sample118.0ms

simplify14.0ms

prune2.0ms

localize7.0ms

rewrite10.0ms

series4.0ms

simplify37.0ms

prune31.0ms

localize16.0ms

rewrite92.0ms

series43.0ms

simplify135.0ms

prune334.0ms

localize9.0ms

rewrite18.0ms

series18.0ms

simplify38.0ms

prune70.0ms

regimes151.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample434.0ms

Profiling