Details

analyze330.0ms

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
12.5%	87.4%	0.1%	7
25%	74.9%	0.1%	8
31.2%	64%	4.8%	9
31.2%	42.1%	26.7%	10
35.9%	37.1%	27.1%	11
38.2%	32.2%	29.6%	12
47.8%	21.6%	30.6%	13
50.2%	19%	30.8%	14

sample30.0ms

Algorithm

intervals

Results

13.0ms	256×	body	80	valid
1.0ms	19×	body	80	invalid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	40	9
1	40	9

prune16.0ms

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: 0.0b

Counts

2 → 2

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) (* z (* z 3)))
0.2b	(* z (* z 3))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 29

Calls

2 calls:

6.0ms	(+ (* x y) (* z (* z 3)))
8.0ms	(* z (* z 3))

series23.0ms

Counts

2 → 6

Calls

2 calls:

18.0ms	(+ (* x y) (* z (* z 3)))
5.0ms	(* z (* z 3))

simplify51.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5454	285

prune79.0ms

Filtered

21 candidates to 35 candidates (-66.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	32	3	35
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	32	5	37

Merged error: 0b

Counts

37 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ (* x y) (* z z)) (* z z))
0.1b	(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-log-exp`
9×	`sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+l+` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`

Counts

2 → 27

Calls

2 calls:

6.0ms	(+ (+ (* x y) (* z z)) (* z z))
8.0ms	(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

series24.0ms

Counts

2 → 6

Calls

2 calls:

11.0ms	(+ (+ (* x y) (* z z)) (* z z))
13.0ms	(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

simplify61.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4838	382
1	4838	382

prune40.0ms

Filtered

22 candidates to 33 candidates (-50.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	33	0	33
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	33	5	38

Merged error: 0b

Counts

38 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

5.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series87.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* (cbrt z) (cbrt z))
21.0ms	(cbrt z)
20.0ms	(cbrt z)
20.0ms	(cbrt z)

simplify45.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5165	356

prune83.0ms

Filtered

56 candidates to 85 candidates (-51.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	1	1	2
Picked	1	0	1
Done	0	2	2
Total	86	4	90

Merged error: 0b

Counts

90 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (* z z)) (* z (* 3 (cbrt z))))
0.3b	(* 3 (cbrt z))
0.6b	(cbrt z)
20.1b	(cbrt (* z z))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

15×	`pow1` `add-exp-log`
13×	`add-sqr-sqrt`
10×	`add-cbrt-cube`
9×	`cbrt-prod` `add-cube-cbrt` `*-un-lft-identity`
7×	`associate-r` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-log-exp`
2×	`pow1/3` `*-commutative` `unswap-sqr`

Counts

4 → 64

Calls

4 calls:

8.0ms	(* (cbrt (* z z)) (* z (* 3 (cbrt z))))
4.0ms	(* 3 (cbrt z))
3.0ms	(cbrt z)
2.0ms	(cbrt (* z z))

series70.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* (cbrt (* z z)) (* z (* 3 (cbrt z))))
23.0ms	(* 3 (cbrt z))
20.0ms	(cbrt z)
21.0ms	(cbrt (* z z))

simplify72.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4884	363
1	4884	363

prune67.0ms

Filtered

50 candidates to 76 candidates (-52.0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	76	4	80

Merged error: 0b

Counts

80 → 4

regimes316.0ms

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	12	9
1	12	9

end0.0ms

sample448.0ms

Algorithm

intervals

Results

255.0ms	8000×	body	80	valid
16.0ms	427×	body	80	invalid

Details

analyze330.0ms

sample30.0ms

simplify5.0ms

prune16.0ms

localize11.0ms

rewrite15.0ms

series23.0ms

simplify51.0ms

prune79.0ms

localize7.0ms

rewrite15.0ms

series24.0ms

simplify61.0ms

prune40.0ms

localize13.0ms

rewrite10.0ms

series87.0ms

simplify45.0ms

prune83.0ms

localize11.0ms

rewrite18.0ms

series70.0ms

simplify72.0ms

prune67.0ms

regimes316.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample448.0ms

Profiling