Details

sample1.9s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 3.393555%

Guaranteed chance to sample good point: 51.036138%

Results

7.0ms	256×	body	80	valid
2.0ms	56×	body	80	invalid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	3
1	37	3
2	67	3
3	79	3
4	79	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: 11.0b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

10.5b

(/ (* a1 a2) (* b1 b2))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 21

Calls

1 calls:

5.0ms

(/ (* a1 a2) (* b1 b2))

series9.0ms

Counts

1 → 3

Calls

1 calls:

9.0ms

(/ (* a1 a2) (* b1 b2))

simplify27.0ms

Algorithm

egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	160	124
1	936	89
2	5001	89

prune47.0ms

Filtered

13 candidates to 24 candidates (-84.6%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	17	7	24
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	18	7	25

Merged error: 0.1b

Counts

25 → 7

localize5.0ms

Local error

Found 2 expressions with local error:

4.8b	(/ (* b1 b2) a2)
5.5b	(/ a1 (/ (* b1 b2) a2))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 69

Calls

2 calls:

4.0ms	(/ (* b1 b2) a2)
5.0ms	(/ a1 (/ (* b1 b2) a2))

series13.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(/ (* b1 b2) a2)
9.0ms	(/ a1 (/ (* b1 b2) a2))

simplify38.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	292	397
1	1409	353
2	5001	350

prune95.0ms

Filtered

56 candidates to 75 candidates (-33.9%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	69	6	75
Fresh	3	3	6
Picked	1	0	1
Done	0	0	0
Total	73	9	82

Merged error: 0.0b

Counts

82 → 9

localize5.0ms

Local error

Found 2 expressions with local error:

4.9b	(/ a2 (* b1 b2))
5.2b	(* a1 (/ a2 (* b1 b2)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-exp-log` `add-cbrt-cube`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
6×	`times-frac`
5×	`prod-exp` `cbrt-unprod`
4×	`pow1` `cbrt-undiv` `div-exp`
3×	`associate-l` `associate-/l*`
2×	`div-inv` `add-log-exp`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `associate-/r` `*-commutative` `unswap-sqr`

Counts

2 → 48

Calls

2 calls:

4.0ms	(/ a2 (* b1 b2))
6.0ms	(* a1 (/ a2 (* b1 b2)))

series15.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(/ a2 (* b1 b2))
10.0ms	(* a1 (/ a2 (* b1 b2)))

simplify31.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	193	227
1	941	184
2	5001	184

prune61.0ms

Filtered

34 candidates to 54 candidates (-58.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	54	0	54
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	54	9	63

Merged error: 0.0b

Counts

63 → 9

localize6.0ms

Local error

Found 2 expressions with local error:

3.8b	(/ a1 (/ b2 a2))
6.8b	(* (/ 1 b1) (/ a1 (/ b2 a2)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

165×	`times-frac`
116×	`add-sqr-sqrt`
89×	`*-un-lft-identity`
86×	`add-cube-cbrt`
46×	`add-exp-log`
44×	`associate-r`
28×	`add-cbrt-cube`
21×	`div-exp`
13×	`associate-l` `associate-/r*`
12×	`cbrt-undiv` `prod-exp`
10×	`div-inv`
9×	`unswap-sqr`
6×	`cbrt-unprod`
4×	`pow1`
3×	`rec-exp` `1-exp` `associate-/l*`
2×	`associate-/r/` `add-log-exp`
1×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative`

Counts

2 → 166

Calls

2 calls:

5.0ms	(/ a1 (/ b2 a2))
19.0ms	(* (/ 1 b1) (/ a1 (/ b2 a2)))

series14.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(/ a1 (/ b2 a2))
9.0ms	(* (/ 1 b1) (/ a1 (/ b2 a2)))

simplify86.0ms

Algorithm

egg-herbie

Counts

172 → 172

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	788	1121
1	3776	991
2	5001	971

prune125.0ms

Filtered

128 candidates to 172 candidates (-34.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	170	2	172
Fresh	2	5	7
Picked	1	0	1
Done	0	1	1
Total	173	8	181

Merged error: 0b

Counts

181 → 8

regimes719.0ms

Accuracy

51% (5.4b remaining)

Error of 5.4b against oracle of 0.0b and baseline of 11.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	23
1	34	23

end0.0ms

sample2.7s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 3.393555%

Guaranteed chance to sample good point: 51.036138%

Results

228.0ms	8000×	body	80	valid
53.0ms	1641×	body	80	invalid

Details

sample1.9s

simplify7.0ms

prune3.0ms

localize5.0ms

rewrite6.0ms

series9.0ms

simplify27.0ms

prune47.0ms

localize5.0ms

rewrite12.0ms

series13.0ms

simplify38.0ms

prune95.0ms

localize5.0ms

rewrite11.0ms

series15.0ms

simplify31.0ms

prune61.0ms

localize6.0ms

rewrite33.0ms

series14.0ms

simplify86.0ms

prune125.0ms

regimes719.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.7s

Profiling