Details

analyze438.0ms

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
18.7%	81.1%	0.1%	8
31.2%	68.6%	0.1%	9
46.8%	44.5%	8.7%	10
51.5%	39%	9.5%	11
57.3%	32.6%	10.1%	12
63.8%	21.6%	14.7%	13
66.2%	18.7%	15.1%	14

sample18.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
0.0ms	21×	body	80	invalid

simplify443.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	29	5
1	29	5

prune5.0ms

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: 0.0b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (+ x y) z)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`associate-l`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-r` `add-cbrt-cube`
2×	`associate-*l/`
1×	`flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `add-log-exp` `unswap-sqr`

Counts

1 → 21

Calls

1 calls:

7.0ms

(* (+ x y) z)

series13.0ms

Counts

1 → 3

Calls

1 calls:

13.0ms

(* (+ x y) z)

simplify43.0ms

Algorithm

egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5004	151

prune46.0ms

Filtered

16 candidates to 24 candidates (-50.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	22	2	24
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	22	3	25

Merged error: 0b

Counts

25 → 3

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x y) z)
0.3b	(* (sqrt (* (+ x y) z)) (sqrt (* (+ x y) z)))
3.1b	(sqrt (* (+ x y) z))
3.1b	(sqrt (* (+ x y) z))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1`
32×	`sqrt-pow1`
23×	`pow-prod-down`
20×	`associate-*l/`
16×	`sqrt-div`
14×	`add-sqr-sqrt`
12×	`*-un-lft-identity` `pow1/2`
10×	`add-cube-cbrt` `pow-prod-up`
9×	`flip3-+` `flip-+`
8×	`add-exp-log` `associate-l` `add-cbrt-cube`
7×	`associate-r`
6×	`sqrt-prod` `pow-sqr`
4×	`frac-times` `swap-sqr` `add-log-exp`
2×	`associate-r/` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `distribute-lft-out`

Counts

4 → 104

Calls

4 calls:

5.0ms	(* (+ x y) z)
12.0ms	(* (sqrt (* (+ x y) z)) (sqrt (* (+ x y) z)))
4.0ms	(sqrt (* (+ x y) z))
4.0ms	(sqrt (* (+ x y) z))

series65.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(* (+ x y) z)
6.0ms	(* (sqrt (* (+ x y) z)) (sqrt (* (+ x y) z)))
27.0ms	(sqrt (* (+ x y) z))
26.0ms	(sqrt (* (+ x y) z))

simplify53.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4945	864
1	4945	864

prune102.0ms

Filtered

69 candidates to 116 candidates (-68.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	116	3	119

Merged error: 0b

Counts

119 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (+ x y) (sqrt z))
0.2b	(* (* (+ x y) (sqrt z)) (sqrt z))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

12×	`associate-r`
11×	`add-sqr-sqrt`
9×	`pow1` `add-exp-log` `*-un-lft-identity` `add-cbrt-cube`
7×	`add-cube-cbrt` `sqrt-prod`
6×	`associate-*l/`
5×	`associate-l`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`flip3-+` `*-commutative` `flip-+` `add-log-exp` `unswap-sqr`
1×	`distribute-lft-out`

Counts

2 → 48

Calls

2 calls:

6.0ms	(* (+ x y) (sqrt z))
9.0ms	(* (* (+ x y) (sqrt z)) (sqrt z))

series18.0ms

Counts

2 → 6

Calls

2 calls:

9.0ms	(* (+ x y) (sqrt z))
9.0ms	(* (* (+ x y) (sqrt z)) (sqrt z))

simplify34.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	4965	406
1	4965	406

prune49.0ms

Filtered

34 candidates to 54 candidates (-58.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	54	0	54
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	54	3	57

Merged error: 0b

Counts

57 → 3

regimes220.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	5
1	23	5

end0.0ms

sample365.0ms

Algorithm

intervals

Results

169.0ms	8000×	body	80	valid
14.0ms	596×	body	80	invalid

Details

analyze438.0ms

sample18.0ms

simplify443.0ms

prune5.0ms

localize6.0ms

rewrite9.0ms

series13.0ms

simplify43.0ms

prune46.0ms

localize6.0ms

rewrite29.0ms

series65.0ms

simplify53.0ms

prune102.0ms

localize6.0ms

rewrite17.0ms

series18.0ms

simplify34.0ms

prune49.0ms

regimes220.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample365.0ms

Profiling