Details

analyze66.0ms

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

sample13.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
0.0ms	4×	body	80	invalid

simplify14.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (13.0ms)

Iter	Nodes	Cost
0	380	7
1	380	7

prune9.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 48

Calls

2 calls:

7.0ms	(* 2.0 (* x (- x y)))
6.0ms	(* x (- x y))

series11.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify31.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	4963	399
1	4963	399

prune48.0ms

Filtered

34 candidates to 54 candidates (-58.8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	52	2	54
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	53	2	55

Merged error: 0b

Counts

55 → 2

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (* x 2.0) (- 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

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

series6.0ms

Counts

1 → 3

Calls

1 calls:

6.0ms

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

simplify39.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5109	220

prune23.0ms

Filtered

16 candidates to 27 candidates (-68.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	27	0	27
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	27	2	29

Merged error: 0b

Counts

29 → 2

localize10.0ms

Local error

Found 3 expressions with local error:

0.2b	(* x (* (- x y) (sqrt 2.0)))
0.4b	(* (- x y) (sqrt 2.0))
0.4b	(* (sqrt 2.0) (* x (* (- x y) (sqrt 2.0))))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

19×	`pow1` `add-exp-log` `add-cbrt-cube`
15×	`add-sqr-sqrt`
14×	`associate-l`
11×	`*-un-lft-identity`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`add-cube-cbrt`
8×	`associate-r`
7×	`sqrt-prod`
6×	`associate-r/` `associate-l/`
3×	`flip3--` `*-commutative` `flip--` `add-log-exp`
2×	`unswap-sqr`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

3 → 72

Calls

3 calls:

8.0ms	(* x (* (- x y) (sqrt 2.0)))
8.0ms	(* (- x y) (sqrt 2.0))
12.0ms	(* (sqrt 2.0) (* x (* (- x y) (sqrt 2.0))))

series29.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(* x (* (- x y) (sqrt 2.0)))
6.0ms	(* (- x y) (sqrt 2.0))
13.0ms	(* (sqrt 2.0) (* x (* (- x y) (sqrt 2.0))))

simplify33.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5402	671

prune86.0ms

Filtered

53 candidates to 81 candidates (-52.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	81	2	83

Merged error: 0b

Counts

83 → 2

regimes61.0ms

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

sample333.0ms

Algorithm

intervals

Results

211.0ms	8000×	body	80	valid
3.0ms	138×	body	80	invalid

Details

analyze66.0ms

sample13.0ms

simplify14.0ms

prune9.0ms

localize4.0ms

rewrite15.0ms

series11.0ms

simplify31.0ms

prune48.0ms

localize4.0ms

rewrite8.0ms

series6.0ms

simplify39.0ms

prune23.0ms

localize10.0ms

rewrite30.0ms

series29.0ms

simplify33.0ms

prune86.0ms

regimes61.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample333.0ms

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