Details

analyze65.0ms

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
25%	74.9%	0.1%	5
37.5%	50%	12.6%	6
43.7%	40.6%	15.7%	7
56.2%	23.4%	20.4%	8
57.8%	21.1%	21.2%	9
64%	12.5%	23.5%	10
64.8%	10.7%	24.5%	11
67.9%	6.4%	25.7%	12
68.3%	5.4%	26.3%	13
69.9%	3.3%	26.9%	14

sample18.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
0.0ms	7×	body	80	invalid

simplify16.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (14.0ms)

Iter	Nodes	Cost
0	380	7
1	380	7

prune6.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.0b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* x x) (* x y))
0.0b	(* 2.0 (- (* x x) (* x y)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 35

Calls

2 calls:

4.0ms	(- (* x x) (* x y))
7.0ms	(* 2.0 (- (* x x) (* x y)))

series11.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(- (* x x) (* x y))
6.0ms	(* 2.0 (- (* x x) (* x y)))

simplify41.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4939	341
1	4939	341

prune41.0ms

Filtered

30 candidates to 41 candidates (-36.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	40	1	41
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	40	2	42

Merged error: 0.0b

Counts

42 → 2

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (* 2.0 x) (- x y))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 24

Calls

1 calls:

7.0ms

(* (* 2.0 x) (- x y))

series6.0ms

Counts

1 → 3

Calls

1 calls:

6.0ms

(* (* 2.0 x) (- x y))

simplify40.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5107	220

prune24.0ms

Filtered

16 candidates to 27 candidates (-68.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	26	1	27
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	26	3	29

Merged error: 0b

Counts

29 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (sqrt x) (sqrt y))
0.0b	(- (sqrt x) (sqrt y))
0.1b	(* x (+ (sqrt x) (sqrt y)))
0.1b	(* (* 2.0 (* x (+ (sqrt x) (sqrt y)))) (- (sqrt x) (sqrt y)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 91

Calls

4 calls:

5.0ms	(+ (sqrt x) (sqrt y))
6.0ms	(- (sqrt x) (sqrt y))
8.0ms	(* x (+ (sqrt x) (sqrt y)))
16.0ms	(* (* 2.0 (* x (+ (sqrt x) (sqrt y)))) (- (sqrt x) (sqrt y)))

series49.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(+ (sqrt x) (sqrt y))
8.0ms	(- (sqrt x) (sqrt y))
7.0ms	(* x (+ (sqrt x) (sqrt y)))
25.0ms	(* (* 2.0 (* x (+ (sqrt x) (sqrt y)))) (- (sqrt x) (sqrt y)))

simplify61.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4961	1130
1	4961	1130

prune90.0ms

Filtered

73 candidates to 103 candidates (-41.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	103	3	106

Merged error: 0b

Counts

106 → 3

regimes145.0ms

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	18	7
1	18	7

end0.0ms

sample344.0ms

Algorithm

intervals

Results

217.0ms	8000×	body	80	valid
4.0ms	165×	body	80	invalid

Details

analyze65.0ms

sample18.0ms

simplify16.0ms

prune6.0ms

localize5.0ms

rewrite11.0ms

series11.0ms

simplify41.0ms

prune41.0ms

localize4.0ms

rewrite8.0ms

series6.0ms

simplify40.0ms

prune24.0ms

localize11.0ms

rewrite38.0ms

series49.0ms

simplify61.0ms

prune90.0ms

regimes145.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample344.0ms

Profiling