Details

analyze298.0ms

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

sample17.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
0.0ms	12×	body	80	invalid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	40	9
1	40	9

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: 0.0b

Counts

2 → 2

localize6.0ms

Local error

Found 1 expressions with local error:

0.2b	(* z (* z 3))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
1×	`associate-r` `*-commutative` `add-log-exp`

Counts

1 → 18

Calls

1 calls:

5.0ms

(* z (* z 3))

series3.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

(* z (* z 3))

simplify29.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	4928	114
1	4928	114

prune36.0ms

Filtered

11 candidates to 21 candidates (-90.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	17	4	21
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	18	5	23

Merged error: 0.0b

Counts

23 → 5

localize6.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (* z z) 3)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`add-sqr-sqrt` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-cube-cbrt` `*-un-lft-identity`
1×	`associate-l` `*-commutative` `add-log-exp` `unswap-sqr`

Counts

1 → 19

Calls

1 calls:

5.0ms

(* (* z z) 3)

series3.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

(* (* z z) 3)

simplify33.0ms

Algorithm

egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5019	124

prune33.0ms

Filtered

11 candidates to 22 candidates (-100.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	20	2	22
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	21	6	27

Merged error: 0b

Counts

27 → 6

localize9.0ms

Local error

Found 3 expressions with local error:

0.1b	(* z (* (cbrt 3) (cbrt 3)))
0.2b	(* z (* z (* (cbrt 3) (cbrt 3))))
0.3b	(* (* z (* z (* (cbrt 3) (cbrt 3)))) (cbrt 3))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

31×	`pow1` `add-exp-log`
21×	`add-cbrt-cube`
19×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`add-sqr-sqrt` `associate-r`
7×	`add-cube-cbrt` `-un-lft-identity` `associate-l*`
3×	`cbrt-prod` `*-commutative` `add-log-exp`
1×	`unswap-sqr`

Counts

3 → 67

Calls

3 calls:

6.0ms	(* z (* (cbrt 3) (cbrt 3)))
8.0ms	(* z (* z (* (cbrt 3) (cbrt 3))))
11.0ms	(* (* z (* z (* (cbrt 3) (cbrt 3)))) (cbrt 3))

series24.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(* z (* (cbrt 3) (cbrt 3)))
7.0ms	(* z (* z (* (cbrt 3) (cbrt 3))))
9.0ms	(* (* z (* z (* (cbrt 3) (cbrt 3)))) (cbrt 3))

simplify38.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	4943	511
1	4943	511

prune92.0ms

Filtered

41 candidates to 76 candidates (-85.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	76	6	82

Merged error: 0b

Counts

82 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.3b	(* (* z (sqrt 3)) (* z (sqrt 3)))
0.4b	(* z (sqrt 3))
0.4b	(* z (sqrt 3))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

46×	`pow1`
19×	`add-exp-log` `pow-prod-down` `add-cbrt-cube`
17×	`add-sqr-sqrt`
13×	`associate-r`
10×	`prod-exp` `cbrt-unprod`
9×	`add-cube-cbrt` `*-un-lft-identity`
8×	`sqrt-prod`
7×	`associate-l`
4×	`pow-sqr` `pow-prod-up` `unswap-sqr`
3×	`*-commutative` `add-log-exp`
2×	`pow-plus`
1×	`pow2` `swap-sqr`

Counts

3 → 78

Calls

3 calls:

8.0ms	(* (* z (sqrt 3)) (* z (sqrt 3)))
5.0ms	(* z (sqrt 3))
5.0ms	(* z (sqrt 3))

series17.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(* (* z (sqrt 3)) (* z (sqrt 3)))
4.0ms	(* z (sqrt 3))
7.0ms	(* z (sqrt 3))

simplify42.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5111	414

prune70.0ms

Filtered

37 candidates to 87 candidates (-135.1%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	87	0	87
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	87	6	93

Merged error: 0b

Counts

93 → 6

regimes272.0ms

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

sample455.0ms

Algorithm

intervals

Results

257.0ms	8000×	body	80	valid
14.0ms	455×	body	80	invalid

Details

analyze298.0ms

sample17.0ms

simplify4.0ms

prune9.0ms

localize6.0ms

rewrite6.0ms

series3.0ms

simplify29.0ms

prune36.0ms

localize6.0ms

rewrite6.0ms

series3.0ms

simplify33.0ms

prune33.0ms

localize9.0ms

rewrite28.0ms

series24.0ms

simplify38.0ms

prune92.0ms

localize7.0ms

rewrite19.0ms

series17.0ms

simplify42.0ms

prune70.0ms

regimes272.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample455.0ms

Profiling