Details

analyze286.0ms

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
6.2%	93.6%	0.1%	6
15.6%	84.3%	0.1%	7
29.6%	70.2%	0.1%	8
33.5%	63.2%	3.3%	9
43.3%	49.5%	7.2%	10
52.1%	39.2%	8.7%	11
54.5%	34.2%	11.3%	12
60.6%	25.6%	13.8%	13
65.2%	20.4%	14.4%	14

sample17.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
1.0ms	24×	body	80	invalid

simplify13.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (12.0ms)

Iter	Nodes	Cost
0	345	9
1	345	9

prune3.0ms

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 2 expressions with local error:

0.0b	(+ (* x y) (* (- x 1.0) z))
0.0b	(* (- x 1.0) z)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 33

Calls

2 calls:

4.0ms	(+ (* x y) (* (- x 1.0) z))
9.0ms	(* (- x 1.0) z)

series12.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(+ (* x y) (* (- x 1.0) z))
4.0ms	(* (- x 1.0) z)

simplify41.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5186	345

prune45.0ms

Filtered

26 candidates to 39 candidates (-50.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	37	2	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	37	3	40

Merged error: 0b

Counts

40 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x y) (* (* (- x 1.0) (sqrt z)) (sqrt z)))
0.1b	(* (- x 1.0) (sqrt z))
0.2b	(* (* (- x 1.0) (sqrt z)) (sqrt z))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 60

Calls

3 calls:

4.0ms	(+ (* x y) (* (* (- x 1.0) (sqrt z)) (sqrt z)))
7.0ms	(* (- x 1.0) (sqrt z))
9.0ms	(* (* (- x 1.0) (sqrt z)) (sqrt z))

series23.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(+ (* x y) (* (* (- x 1.0) (sqrt z)) (sqrt z)))
6.0ms	(* (- x 1.0) (sqrt z))
6.0ms	(* (* (- x 1.0) (sqrt z)) (sqrt z))

simplify50.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4992	619
1	4992	619

prune66.0ms

Filtered

47 candidates to 69 candidates (-46.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	69	3	72

Merged error: 0b

Counts

72 → 3

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (sqrt x) (sqrt 1.0))
0.1b	(* (+ (sqrt x) (sqrt 1.0)) (* z (- (sqrt x) (sqrt 1.0))))
0.1b	(* z (- (sqrt x) (sqrt 1.0)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
18×	`*-un-lft-identity`
14×	`sqrt-prod`
10×	`pow1` `add-exp-log` `associate-r/` `associate-r*` `add-cbrt-cube`
8×	`associate-l` `difference-of-squares`
7×	`sub-neg`
6×	`add-cube-cbrt`
5×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `flip--` `add-log-exp`
4×	`frac-times` `pow-prod-down` `prod-exp` `cbrt-unprod` `distribute-lft-out--`
3×	`flip3-+` `flip-+`
2×	`associate-l/` `-commutative` `distribute-lft-out`
1×	`diff-log` `unswap-sqr`

Counts

3 → 77

Calls

3 calls:

6.0ms	(- (sqrt x) (sqrt 1.0))
14.0ms	(* (+ (sqrt x) (sqrt 1.0)) (* z (- (sqrt x) (sqrt 1.0))))
9.0ms	(* z (- (sqrt x) (sqrt 1.0)))

series39.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(- (sqrt x) (sqrt 1.0))
27.0ms	(* (+ (sqrt x) (sqrt 1.0)) (* z (- (sqrt x) (sqrt 1.0))))
8.0ms	(* z (- (sqrt x) (sqrt 1.0)))

simplify31.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	5514	964

prune113.0ms

Filtered

61 candidates to 86 candidates (-41.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	86	3	89

Merged error: 0b

Counts

89 → 3

regimes176.0ms

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	21	9
1	21	9

end0.0ms

sample428.0ms

Algorithm

intervals

Results

231.0ms	8000×	body	80	valid
21.0ms	676×	body	80	invalid

Details

analyze286.0ms

sample17.0ms

simplify13.0ms

prune3.0ms

localize6.0ms

rewrite13.0ms

series12.0ms

simplify41.0ms

prune45.0ms

localize8.0ms

rewrite21.0ms

series23.0ms

simplify50.0ms

prune66.0ms

localize12.0ms

rewrite31.0ms

series39.0ms

simplify31.0ms

prune113.0ms

regimes176.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample428.0ms

Profiling