Details

analyze245.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
31.2%	68.6%	0.1%	7
37.4%	62.4%	0.1%	8
40.6%	57.7%	1.7%	9
54.6%	41.3%	4%	10
59.3%	36.7%	4%	11
61.6%	32.6%	5.8%	12
68.3%	22.7%	9%	13
71%	20%	9%	14

sample17.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
0.0ms	20×	body	80	invalid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	16	5
1	16	5

prune9.0ms

Filtered

1 candidates to 1 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: 0.1b

Counts

2 → 2

localize4.0ms

Local error

Found 1 expressions with local error:

4.5b	(/ (* x y) z)

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-/r`
2×	`cbrt-undiv` `div-exp`
1×	`pow1` `frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `div-inv` `associate-/l*` `add-log-exp`

Counts

1 → 21

Calls

1 calls:

4.0ms

(/ (* x y) z)

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

(/ (* x y) z)

simplify81.0ms

Algorithm

egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	4776	149
1	4776	149

prune40.0ms

Filtered

15 candidates to 24 candidates (-60.0%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	18	6	24
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	18	8	26

Merged error: 0.0b

Counts

26 → 8

localize5.0ms

Local error

Found 1 expressions with local error:

4.5b	(* (* x y) (/ 1 z))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 38

Calls

1 calls:

8.0ms

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

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

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

simplify53.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5018	256

prune41.0ms

Filtered

18 candidates to 41 candidates (-127.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	41	0	41
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	41	8	49

Merged error: 0.0b

Counts

49 → 8

localize5.0ms

Local error

Found 2 expressions with local error:

0.5b	(/ 1 (/ z (* x y)))
4.5b	(/ z (* x y))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 77

Calls

2 calls:

6.0ms	(/ 1 (/ z (* x y)))
4.0ms	(/ z (* x y))

series10.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(/ 1 (/ z (* x y)))
5.0ms	(/ z (* x y))

simplify62.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5514	643

prune66.0ms

Filtered

43 candidates to 83 candidates (-93.0%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	82	1	83
Fresh	1	4	5
Picked	1	0	1
Done	0	2	2
Total	84	7	91

Merged error: 0b

Counts

91 → 7

localize5.0ms

Local error

Found 2 expressions with local error:

0.5b	(/ 1 (/ (/ z x) y))
4.0b	(/ (/ z x) y)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

468×	`times-frac`
228×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
46×	`associate-/r*`
28×	`add-exp-log`
22×	`div-inv`
18×	`div-exp`
16×	`add-cbrt-cube` `associate-/l*`
9×	`cbrt-undiv`
3×	`pow1` `rec-exp` `1-exp`
2×	`frac-2neg` `clear-num` `add-log-exp`
1×	`pow-flip` `associate-/r/` `associate-/l/` `inv-pow`

Counts

2 → 270

Calls

2 calls:

11.0ms	(/ 1 (/ (/ z x) y))
6.0ms	(/ (/ z x) y)

series10.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(/ 1 (/ (/ z x) y))
5.0ms	(/ (/ z x) y)

simplify88.0ms

Algorithm

egg-herbie

Counts

276 → 276

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5001	3512

prune201.0ms

Filtered

186 candidates to 276 candidates (-48.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	275	1	276
Fresh	3	1	4
Picked	0	1	1
Done	0	2	2
Total	278	5	283

Merged error: 0b

Counts

283 → 5

regimes326.0ms

Accuracy

88.1% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 5.9b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	51
1	28	51

end0.0ms

sample360.0ms

Algorithm

intervals

Results

174.0ms	8000×	body	80	valid
15.0ms	723×	body	80	invalid

Details

analyze245.0ms

sample17.0ms

simplify3.0ms

prune9.0ms

localize4.0ms

rewrite5.0ms

series5.0ms

simplify81.0ms

prune40.0ms

localize5.0ms

rewrite9.0ms

series5.0ms

simplify53.0ms

prune41.0ms

localize5.0ms

rewrite12.0ms

series10.0ms

simplify62.0ms

prune66.0ms

localize5.0ms

rewrite35.0ms

series10.0ms

simplify88.0ms

prune201.0ms

regimes326.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample360.0ms

Profiling