Details

sample486.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 23.0896%

Guaranteed chance to sample good point: 96.500278%

Results

6.0ms	256×	body	80	valid
0.0ms	5×	body	80	invalid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	3
1	11	3
2	11	3

prune3.0ms

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: 2.9b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

7.0b	(/ x (* y y))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-exp-log` `add-cbrt-cube`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `times-frac` `associate-/l`
2×	`cbrt-undiv` `div-exp`
1×	`pow1` `frac-2neg` `prod-exp` `clear-num` `associate-/r*` `cbrt-unprod` `div-inv` `add-log-exp`

Counts

1 → 21

Calls

1 calls:

4.0ms

(/ x (* y y))

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

(/ x (* y y))

simplify92.0ms

Algorithm

egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	99	86
1	320	71
2	952	71
3	4497	71
4	5001	71

prune33.0ms

Filtered

16 candidates to 24 candidates (-50.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	21	3	24
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	21	4	25

Merged error: 0.0b

Counts

25 → 4

localize5.0ms

Local error

Found 1 expressions with local error:

0.2b	(/ (/ x y) y)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

75×	`times-frac`
43×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
13×	`associate-/l*`
6×	`add-exp-log` `add-cbrt-cube`
5×	`div-inv`
3×	`cbrt-undiv` `div-exp` `associate-/r*`
1×	`pow1` `frac-2neg` `clear-num` `associate-/l/` `add-log-exp`

Counts

1 → 70

Calls

1 calls:

6.0ms

(/ (/ x y) y)

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

(/ (/ x y) y)

simplify36.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	311	449
1	1180	415
2	5002	406

prune63.0ms

Filtered

49 candidates to 73 candidates (-49.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	71	2	73
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	72	5	77

Merged error: 0.0b

Counts

77 → 5

localize6.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (/ 1 y) (/ x y))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
25×	`times-frac`
23×	`add-exp-log`
17×	`*-un-lft-identity`
15×	`add-cube-cbrt`
13×	`associate-r` `associate-l` `add-cbrt-cube`
8×	`div-exp` `prod-exp`
6×	`unswap-sqr`
4×	`cbrt-undiv` `cbrt-unprod`
3×	`pow1`
2×	`rec-exp` `1-exp` `div-inv`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `add-log-exp`

Counts

1 → 56

Calls

1 calls:

10.0ms

(* (/ 1 y) (/ x y))

series4.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

(* (/ 1 y) (/ x y))

simplify42.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	322	297
1	1604	247
2	5001	211

prune55.0ms

Filtered

35 candidates to 59 candidates (-68.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	58	1	59
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	58	6	64

Merged error: 0b

Counts

64 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (/ (/ x y) y)) (cbrt (/ (/ x y) y)))
21.6b	(cbrt (/ (/ x y) y))
21.6b	(cbrt (/ (/ x y) y))
21.6b	(cbrt (/ (/ x y) y))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

486×	`times-frac`
325×	`cbrt-prod`
309×	`add-sqr-sqrt`
253×	`add-cube-cbrt` `*-un-lft-identity`
46×	`swap-sqr` `associate-r` `associate-l`
28×	`div-inv`
16×	`unswap-sqr`
11×	`pow1`
9×	`pow1/3`
7×	`cbrt-div`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 331

Calls

4 calls:

43.0ms	(* (cbrt (/ (/ x y) y)) (cbrt (/ (/ x y) y)))
5.0ms	(cbrt (/ (/ x y) y))
5.0ms	(cbrt (/ (/ x y) y))
5.0ms	(cbrt (/ (/ x y) y))

series84.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* (cbrt (/ (/ x y) y)) (cbrt (/ (/ x y) y)))
19.0ms	(cbrt (/ (/ x y) y))
18.0ms	(cbrt (/ (/ x y) y))
19.0ms	(cbrt (/ (/ x y) y))

simplify86.0ms

Algorithm

egg-herbie

Counts

343 → 343

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	693	3925
1	2422	3829
2	5001	3747

prune317.0ms

Filtered

254 candidates to 343 candidates (-35.0%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	343	0	343
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	343	6	349

Merged error: 0b

Counts

349 → 6

regimes216.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	3

end0.0ms

sample896.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 23.0896%

Guaranteed chance to sample good point: 96.500278%

Results

203.0ms	8000×	body	80	valid
6.0ms	228×	body	80	invalid

Details

sample486.0ms

simplify5.0ms

prune3.0ms

localize5.0ms

rewrite5.0ms

series5.0ms

simplify92.0ms

prune33.0ms

localize5.0ms

rewrite9.0ms

series5.0ms

simplify36.0ms

prune63.0ms

localize6.0ms

rewrite13.0ms

series4.0ms

simplify42.0ms

prune55.0ms

localize10.0ms

rewrite86.0ms

series84.0ms

simplify86.0ms

prune317.0ms

regimes216.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample896.0ms

Profiling