Details

analyze231.0ms

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

sample14.0ms

Algorithm

intervals

Results

5.0ms	256×	body	80	valid
0.0ms	22×	body	80	invalid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	5
1	16	5

prune8.0ms

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:

4.8b	(/ (* 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 (78.0ms)

Iter	Nodes	Cost
0	4776	149
1	4776	149

prune39.0ms

Filtered

15 candidates to 24 candidates (-60.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	20	4	24
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	20	6	26

Merged error: 0.0b

Counts

26 → 6

localize5.0ms

Local error

Found 1 expressions with local error:

4.8b	(* (* 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))

simplify58.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5018	256

prune38.0ms

Filtered

19 candidates to 41 candidates (-115.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	41	0	41
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	41	6	47

Merged error: 0.0b

Counts

47 → 6

localize5.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ 1 (/ z (* x y)))
4.7b	(/ z (* x y))

rewrite13.0ms

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

prune90.0ms

Filtered

44 candidates to 83 candidates (-88.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	80	3	83
Fresh	0	3	3
Picked	1	0	1
Done	0	2	2
Total	81	8	89

Merged error: 0.0b

Counts

89 → 8

localize16.0ms

Local error

Found 4 expressions with local error:

4.7b	(/ z (* x y))
12.1b	(cbrt (/ z (* x y)))
12.1b	(cbrt (/ z (* x y)))
12.1b	(cbrt (/ z (* x y)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 69

Calls

4 calls:

7.0ms	(/ z (* x y))
6.0ms	(cbrt (/ z (* x y)))
6.0ms	(cbrt (/ z (* x y)))
6.0ms	(cbrt (/ z (* x y)))

series82.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(/ z (* x y))
19.0ms	(cbrt (/ z (* x y)))
22.0ms	(cbrt (/ z (* x y)))
34.0ms	(cbrt (/ z (* x y)))

simplify59.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4948	635
1	4948	635

prune76.0ms

Filtered

61 candidates to 81 candidates (-32.8%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	81	8	89

Merged error: 0.0b

Counts

89 → 8

regimes442.0ms

Accuracy

65.9% (2.1b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 6.2b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	28	35
1	28	35

end0.0ms

sample348.0ms

Algorithm

intervals

Results

175.0ms	8000×	body	80	valid
15.0ms	724×	body	80	invalid

Details

analyze231.0ms

sample14.0ms

simplify3.0ms

prune8.0ms

localize4.0ms

rewrite5.0ms

series5.0ms

simplify81.0ms

prune39.0ms

localize5.0ms

rewrite9.0ms

series5.0ms

simplify58.0ms

prune38.0ms

localize5.0ms

rewrite13.0ms

series10.0ms

simplify62.0ms

prune90.0ms

localize16.0ms

rewrite26.0ms

series82.0ms

simplify59.0ms

prune76.0ms

regimes442.0ms

bsearch1.0ms

simplify2.0ms

end0.0ms

sample348.0ms

Profiling