Details

analyze64.0ms (3.4%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
25%	25%	74.9%	0.1%	0%	0%	0%	5
28.6%	25%	62.4%	0.1%	12.5%	0%	0%	6
42.9%	37.5%	50%	0.1%	12.5%	0%	0%	7
55.6%	46.8%	37.5%	0.1%	15.6%	0%	0%	8
63.6%	53.1%	30.4%	0.1%	16.4%	0%	0%	9
73.9%	58.5%	20.7%	0.1%	20.7%	0%	0%	10
79.3%	62%	16.2%	0.1%	21.7%	0%	0%	11
85.7%	65%	10.8%	0.1%	24.1%	0%	0%	12

Compiler

Compiled 12 to 8 computations (33.3% saved)

sample1.3s (68%)

Results

1.2s	8256×	body	256	valid
41.0ms	460×	body	256	infinite

Bogosity

preprocess19.0ms (1%)

Algorithm

2×	egg-herbie

Rules

24×	`rational_best-simplify-2`
8×	`rational_best-simplify-51`
8×	`rational_best-simplify-44`
6×	`rational_best-simplify-1`
4×	`rational_best-simplify-22`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	50
1	22	38
2	28	38
3	33	38
4	40	38
5	44	38
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(.f64 2 (+.f64 (.f64 x x) (*.f64 x y)))
(.f64 2 (+.f64 (.f64 y y) (*.f64 y x)))

Outputs
(.f64 2 (+.f64 (.f64 x x) (*.f64 x y)))
(.f64 2 (.f64 x (+.f64 x y)))
(.f64 (+.f64 x y) (.f64 2 x))
(.f64 2 (+.f64 (.f64 y y) (*.f64 y x)))
(.f64 2 (+.f64 (.f64 y y) (*.f64 x y)))
(.f64 2 (.f64 y (+.f64 x y)))
(.f64 (+.f64 x y) (.f64 2 y))

Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify10.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

14×	`rational_best-simplify-2`
4×	`rational_best-simplify-1`
4×	`rational_best-simplify-51`
4×	`rational_best-simplify-44`
2×	`rational_best-simplify-22`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	14	19
2	18	19
3	21	19
4	25	19
5	27	19

Stop Event

1×

saturated

Counts

1 → 3

Calls

Call 1

Inputs
(.f64 2 (+.f64 (.f64 x x) (*.f64 x y)))

Outputs
(.f64 2 (+.f64 (.f64 x x) (*.f64 x y)))
(.f64 2 (.f64 x (+.f64 y x)))
(.f64 2 (.f64 x (+.f64 x y)))

eval1.0ms (0%)

Compiler: Compiled 25 to 15 computations (40% saved)

prune1.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	1	2	3
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	3	4

Error

0.0b

Counts

4 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(.f64 2 (+.f64 (.f64 x x) (*.f64 x y)))
▶	0.0b	(.f64 2 (.f64 x (+.f64 y x)))

Compiler

Compiled 20 to 13 computations (35% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 2 (.f64 x (+.f64 y x)))
✓	0.0b	(*.f64 x (+.f64 y x))

Compiler

Compiled 20 to 7 computations (65% saved)

series3.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	y	@	inf	(*.f64 x (+.f64 y x))
0.0ms	x	@	-inf	(*.f64 x (+.f64 y x))
0.0ms	x	@	inf	(*.f64 x (+.f64 y x))
0.0ms	x	@	0	(*.f64 x (+.f64 y x))
0.0ms	y	@	0	(*.f64 x (+.f64 y x))

rewrite13.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

30×	`rational_best-simplify-2`
20×	`rational_best-simplify-1`
18×	`rational_best-4`
18×	`rational_best-2`
18×	`rational_best-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	55	32
2	88	32
3	98	32
4	100	32

Stop Event

1×

saturated

Counts

2 → 10

Calls

Call 1

Inputs
(*.f64 x (+.f64 y x))
(.f64 2 (.f64 x (+.f64 y x)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (+.f64 x y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 x (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 x (+.f64 x y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (+.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (+.f64 x y)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (.f64 (+.f64 x y) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 x (.f64 (+.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 x (.f64 (+.f64 x y) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (.f64 (+.f64 x y) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (.f64 (+.f64 x y) 2)) 1)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (+.f64 x y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (+.f64 x y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (+.f64 x y)) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 (+.f64 x y) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (*.f64 (+.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (*.f64 (+.f64 x y) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 (+.f64 x y) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 (+.f64 x y) 2)) 1)))))

simplify99.0ms (5.3%)

Algorithm

1×	egg-herbie

Rules

38×	`rational_best-simplify-2`
12×	`rational_best-simplify-47`
12×	`rational_best-simplify-6`
10×	`rational_best-simplify-1`
8×	`rational_best-simplify-44`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	1180
1	43	1072
2	61	1072
3	71	1072
4	72	1072

Stop Event

1×

saturated

Counts

58 → 24

Calls

Call 1

Inputs
(*.f64 y x)
(+.f64 (*.f64 y x) (pow.f64 x 2))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 y x) (pow.f64 x 2))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 y x) (pow.f64 x 2))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 y x) (pow.f64 x 2))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(*.f64 y x)
(+.f64 (*.f64 y x) (pow.f64 x 2))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(*.f64 y x)
(+.f64 (*.f64 y x) (pow.f64 x 2))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(.f64 2 (.f64 y x))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 (*.f64 y x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 (*.f64 y x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 (*.f64 y x)))
(*.f64 2 (pow.f64 x 2))
(+.f64 (.f64 2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(*.f64 2 (pow.f64 x 2))
(+.f64 (.f64 2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(*.f64 2 (pow.f64 x 2))
(+.f64 (.f64 2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(.f64 2 (.f64 y x))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 (*.f64 y x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 (*.f64 y x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 (*.f64 y x)))
(.f64 2 (.f64 y x))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 (*.f64 y x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 (*.f64 y x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 (*.f64 y x)))
(+.f64 (*.f64 x (+.f64 x y)) 0)
(+.f64 0 (*.f64 x (+.f64 x y)))
(-.f64 (*.f64 x (+.f64 x y)) 0)
(/.f64 (*.f64 x (+.f64 x y)) 1)
(pow.f64 (*.f64 x (+.f64 x y)) 1)
(+.f64 (.f64 x (.f64 (+.f64 x y) 2)) 0)
(+.f64 0 (.f64 x (.f64 (+.f64 x y) 2)))
(-.f64 (.f64 x (.f64 (+.f64 x y) 2)) 0)
(/.f64 (.f64 x (.f64 (+.f64 x y) 2)) 1)
(pow.f64 (.f64 x (.f64 (+.f64 x y) 2)) 1)

Outputs
(*.f64 y x)
(+.f64 (*.f64 y x) (pow.f64 x 2))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 y x) (pow.f64 x 2))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 y x) (pow.f64 x 2))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 y x) (pow.f64 x 2))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(*.f64 y x)
(+.f64 (*.f64 y x) (pow.f64 x 2))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(*.f64 y x)
(+.f64 (*.f64 y x) (pow.f64 x 2))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(.f64 2 (.f64 y x))
(.f64 y (.f64 2 x))
(.f64 x (.f64 2 y))
(.f64 x (.f64 y 2))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 (*.f64 y x)))
(+.f64 (.f64 y (.f64 2 x)) (*.f64 2 (pow.f64 x 2)))
(.f64 2 (+.f64 (.f64 y x) (pow.f64 x 2)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 (*.f64 y x)))
(+.f64 (.f64 y (.f64 2 x)) (*.f64 2 (pow.f64 x 2)))
(.f64 2 (+.f64 (.f64 y x) (pow.f64 x 2)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 (*.f64 y x)))
(+.f64 (.f64 y (.f64 2 x)) (*.f64 2 (pow.f64 x 2)))
(.f64 2 (+.f64 (.f64 y x) (pow.f64 x 2)))
(*.f64 2 (pow.f64 x 2))
(+.f64 (.f64 2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 y (.f64 2 x)) (*.f64 2 (pow.f64 x 2)))
(.f64 2 (+.f64 (.f64 y x) (pow.f64 x 2)))
(+.f64 (.f64 2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 y (.f64 2 x)) (*.f64 2 (pow.f64 x 2)))
(.f64 2 (+.f64 (.f64 y x) (pow.f64 x 2)))
(+.f64 (.f64 2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 y (.f64 2 x)) (*.f64 2 (pow.f64 x 2)))
(.f64 2 (+.f64 (.f64 y x) (pow.f64 x 2)))
(*.f64 2 (pow.f64 x 2))
(+.f64 (.f64 2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 y (.f64 2 x)) (*.f64 2 (pow.f64 x 2)))
(.f64 2 (+.f64 (.f64 y x) (pow.f64 x 2)))
(+.f64 (.f64 2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 y (.f64 2 x)) (*.f64 2 (pow.f64 x 2)))
(.f64 2 (+.f64 (.f64 y x) (pow.f64 x 2)))
(+.f64 (.f64 2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 y (.f64 2 x)) (*.f64 2 (pow.f64 x 2)))
(.f64 2 (+.f64 (.f64 y x) (pow.f64 x 2)))
(*.f64 2 (pow.f64 x 2))
(+.f64 (.f64 2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 y (.f64 2 x)) (*.f64 2 (pow.f64 x 2)))
(.f64 2 (+.f64 (.f64 y x) (pow.f64 x 2)))
(+.f64 (.f64 2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 y (.f64 2 x)) (*.f64 2 (pow.f64 x 2)))
(.f64 2 (+.f64 (.f64 y x) (pow.f64 x 2)))
(+.f64 (.f64 2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 y (.f64 2 x)) (*.f64 2 (pow.f64 x 2)))
(.f64 2 (+.f64 (.f64 y x) (pow.f64 x 2)))
(.f64 2 (.f64 y x))
(.f64 y (.f64 2 x))
(.f64 x (.f64 2 y))
(.f64 x (.f64 y 2))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 (*.f64 y x)))
(+.f64 (.f64 y (.f64 2 x)) (*.f64 2 (pow.f64 x 2)))
(.f64 2 (+.f64 (.f64 y x) (pow.f64 x 2)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 (*.f64 y x)))
(+.f64 (.f64 y (.f64 2 x)) (*.f64 2 (pow.f64 x 2)))
(.f64 2 (+.f64 (.f64 y x) (pow.f64 x 2)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 (*.f64 y x)))
(+.f64 (.f64 y (.f64 2 x)) (*.f64 2 (pow.f64 x 2)))
(.f64 2 (+.f64 (.f64 y x) (pow.f64 x 2)))
(.f64 2 (.f64 y x))
(.f64 y (.f64 2 x))
(.f64 x (.f64 2 y))
(.f64 x (.f64 y 2))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 (*.f64 y x)))
(+.f64 (.f64 y (.f64 2 x)) (*.f64 2 (pow.f64 x 2)))
(.f64 2 (+.f64 (.f64 y x) (pow.f64 x 2)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 (*.f64 y x)))
(+.f64 (.f64 y (.f64 2 x)) (*.f64 2 (pow.f64 x 2)))
(.f64 2 (+.f64 (.f64 y x) (pow.f64 x 2)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 (*.f64 y x)))
(+.f64 (.f64 y (.f64 2 x)) (*.f64 2 (pow.f64 x 2)))
(.f64 2 (+.f64 (.f64 y x) (pow.f64 x 2)))
(+.f64 (*.f64 x (+.f64 x y)) 0)
(*.f64 x (+.f64 y x))
(+.f64 0 (*.f64 x (+.f64 x y)))
(*.f64 x (+.f64 y x))
(-.f64 (*.f64 x (+.f64 x y)) 0)
(*.f64 x (+.f64 y x))
(/.f64 (*.f64 x (+.f64 x y)) 1)
(*.f64 x (+.f64 y x))
(pow.f64 (*.f64 x (+.f64 x y)) 1)
(*.f64 x (+.f64 y x))
(+.f64 (.f64 x (.f64 (+.f64 x y) 2)) 0)
(.f64 (+.f64 y x) (.f64 x 2))
(+.f64 0 (.f64 x (.f64 (+.f64 x y) 2)))
(.f64 (+.f64 y x) (.f64 x 2))
(-.f64 (.f64 x (.f64 (+.f64 x y) 2)) 0)
(.f64 (+.f64 y x) (.f64 x 2))
(/.f64 (.f64 x (.f64 (+.f64 x y) 2)) 1)
(.f64 (+.f64 y x) (.f64 x 2))
(pow.f64 (.f64 x (.f64 (+.f64 x y) 2)) 1)
(.f64 (+.f64 y x) (.f64 x 2))

localize8.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 2 (+.f64 (.f64 x x) (*.f64 x y)))
✓	0.0b	(+.f64 (.f64 x x) (.f64 x y))

Compiler

Compiled 27 to 8 computations (70.4% saved)

series3.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(+.f64 (.f64 x x) (.f64 x y))
0.0ms	x	@	0	(+.f64 (.f64 x x) (.f64 x y))
0.0ms	y	@	inf	(+.f64 (.f64 x x) (.f64 x y))
0.0ms	y	@	0	(+.f64 (.f64 x x) (.f64 x y))
0.0ms	y	@	-inf	(+.f64 (.f64 x x) (.f64 x y))

rewrite242.0ms (12.9%)

Algorithm

1×	batch-egg-rewrite

Rules

170×	`rational_best-simplify-2`
146×	`rational_best-simplify-44`
96×	`rational_best-2`
96×	`rational_best-3`
96×	`rational_best-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	44
1	61	32
2	100	32
3	124	32
4	140	32
5	167	32
6	181	32
7	195	32
8	212	32
9	229	32
10	315	32
11	446	32
12	549	32
13	578	32

Stop Event

1×

saturated

Counts

2 → 22

Calls

Call 1

Inputs
(+.f64 (.f64 x x) (.f64 x y))
(.f64 2 (+.f64 (.f64 x x) (*.f64 x y)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 x (+.f64 x y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (.f64 x (neg.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (+.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 x (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x y) x)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (.f64 x (neg.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 x) (neg.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (neg.f64 (+.f64 x y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (+.f64 x y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (+.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (neg.f64 (+.f64 x y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (+.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 x (neg.f64 (+.f64 x y))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 x y) (.f64 x 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (+.f64 x y) (.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (+.f64 x y) (.f64 x 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (.f64 x (.f64 (+.f64 x y) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 x y) (.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (.f64 (+.f64 x y) -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (+.f64 x y) (.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 x (.f64 (+.f64 x y) -2)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (+.f64 x y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 x (neg.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (+.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 x (neg.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (neg.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (neg.f64 (+.f64 x y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 x y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (neg.f64 (+.f64 x y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (+.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 x (neg.f64 (+.f64 x y))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 x y) (*.f64 x 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 x y) (*.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (+.f64 x y) (*.f64 x 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 x (*.f64 (+.f64 x y) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x y) (*.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 (+.f64 x y) -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 x y) (*.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 x (*.f64 (+.f64 x y) -2)))))))

simplify68.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

316×	`rational_best-simplify-44`
308×	`rational_best-simplify-2`
60×	`rational_best-simplify-1`
56×	`rational_best-simplify-47`
42×	`rational_best-simplify-49`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	47	1354
1	78	1246
2	120	1246
3	218	1246
4	314	1246
5	367	1246
6	433	1246
7	501	1246
8	545	1246
9	557	1246
10	591	1246
11	600	1246
12	610	1246
13	613	1246

Stop Event

1×

saturated

Counts

70 → 36

Calls

Call 1

Inputs
(*.f64 y x)
(+.f64 (*.f64 y x) (pow.f64 x 2))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 y x) (pow.f64 x 2))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 y x) (pow.f64 x 2))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 y x) (pow.f64 x 2))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(*.f64 y x)
(+.f64 (*.f64 y x) (pow.f64 x 2))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(*.f64 y x)
(+.f64 (*.f64 y x) (pow.f64 x 2))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(.f64 2 (.f64 y x))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 (*.f64 y x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 (*.f64 y x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 (*.f64 y x)))
(*.f64 2 (pow.f64 x 2))
(+.f64 (.f64 2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(*.f64 2 (pow.f64 x 2))
(+.f64 (.f64 2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(*.f64 2 (pow.f64 x 2))
(+.f64 (.f64 2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(.f64 2 (.f64 y x))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 (*.f64 y x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 (*.f64 y x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 (*.f64 y x)))
(.f64 2 (.f64 y x))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 (*.f64 y x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 (*.f64 y x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 (*.f64 y x)))
(-.f64 (*.f64 x (+.f64 x y)) 0)
(-.f64 0 (*.f64 x (neg.f64 (+.f64 x y))))
(*.f64 x (+.f64 x y))
(.f64 (.f64 x (+.f64 x y)) 1)
(.f64 1 (.f64 x (+.f64 x y)))
(*.f64 (+.f64 x y) x)
(.f64 -1 (.f64 x (neg.f64 (+.f64 x y))))
(*.f64 (neg.f64 x) (neg.f64 (+.f64 x y)))
(.f64 (.f64 x (neg.f64 (+.f64 x y))) -1)
(*.f64 (neg.f64 (+.f64 x y)) (neg.f64 x))
(/.f64 (*.f64 x (+.f64 x y)) 1)
(/.f64 (*.f64 x (neg.f64 (+.f64 x y))) -1)
(pow.f64 (*.f64 x (+.f64 x y)) 1)
(neg.f64 (*.f64 x (neg.f64 (+.f64 x y))))
(+.f64 (.f64 (+.f64 x y) (.f64 x 2)) 0)
(+.f64 0 (.f64 (+.f64 x y) (.f64 x 2)))
(-.f64 (.f64 (+.f64 x y) (.f64 x 2)) 0)
(-.f64 0 (.f64 x (.f64 (+.f64 x y) -2)))
(/.f64 (.f64 (+.f64 x y) (.f64 x 2)) 1)
(/.f64 (.f64 x (.f64 (+.f64 x y) -2)) -1)
(pow.f64 (.f64 (+.f64 x y) (.f64 x 2)) 1)
(neg.f64 (.f64 x (.f64 (+.f64 x y) -2)))

Outputs
(*.f64 y x)
(+.f64 (*.f64 y x) (pow.f64 x 2))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 y x) (pow.f64 x 2))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 y x) (pow.f64 x 2))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 y x) (pow.f64 x 2))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(*.f64 y x)
(+.f64 (*.f64 y x) (pow.f64 x 2))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(*.f64 y x)
(+.f64 (*.f64 y x) (pow.f64 x 2))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(.f64 2 (.f64 y x))
(.f64 (.f64 y x) 2)
(.f64 x (.f64 y 2))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 (*.f64 y x)))
(+.f64 (.f64 (.f64 y x) 2) (*.f64 2 (pow.f64 x 2)))
(.f64 2 (+.f64 (.f64 y x) (pow.f64 x 2)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 (*.f64 y x)))
(+.f64 (.f64 (.f64 y x) 2) (*.f64 2 (pow.f64 x 2)))
(.f64 2 (+.f64 (.f64 y x) (pow.f64 x 2)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 (*.f64 y x)))
(+.f64 (.f64 (.f64 y x) 2) (*.f64 2 (pow.f64 x 2)))
(.f64 2 (+.f64 (.f64 y x) (pow.f64 x 2)))
(*.f64 2 (pow.f64 x 2))
(+.f64 (.f64 2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 (.f64 y x) 2) (*.f64 2 (pow.f64 x 2)))
(.f64 2 (+.f64 (.f64 y x) (pow.f64 x 2)))
(+.f64 (.f64 2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 (.f64 y x) 2) (*.f64 2 (pow.f64 x 2)))
(.f64 2 (+.f64 (.f64 y x) (pow.f64 x 2)))
(+.f64 (.f64 2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 (.f64 y x) 2) (*.f64 2 (pow.f64 x 2)))
(.f64 2 (+.f64 (.f64 y x) (pow.f64 x 2)))
(*.f64 2 (pow.f64 x 2))
(+.f64 (.f64 2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 (.f64 y x) 2) (*.f64 2 (pow.f64 x 2)))
(.f64 2 (+.f64 (.f64 y x) (pow.f64 x 2)))
(+.f64 (.f64 2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 (.f64 y x) 2) (*.f64 2 (pow.f64 x 2)))
(.f64 2 (+.f64 (.f64 y x) (pow.f64 x 2)))
(+.f64 (.f64 2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 (.f64 y x) 2) (*.f64 2 (pow.f64 x 2)))
(.f64 2 (+.f64 (.f64 y x) (pow.f64 x 2)))
(*.f64 2 (pow.f64 x 2))
(+.f64 (.f64 2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 (.f64 y x) 2) (*.f64 2 (pow.f64 x 2)))
(.f64 2 (+.f64 (.f64 y x) (pow.f64 x 2)))
(+.f64 (.f64 2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 (.f64 y x) 2) (*.f64 2 (pow.f64 x 2)))
(.f64 2 (+.f64 (.f64 y x) (pow.f64 x 2)))
(+.f64 (.f64 2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 (.f64 y x) 2) (*.f64 2 (pow.f64 x 2)))
(.f64 2 (+.f64 (.f64 y x) (pow.f64 x 2)))
(.f64 2 (.f64 y x))
(.f64 (.f64 y x) 2)
(.f64 x (.f64 y 2))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 (*.f64 y x)))
(+.f64 (.f64 (.f64 y x) 2) (*.f64 2 (pow.f64 x 2)))
(.f64 2 (+.f64 (.f64 y x) (pow.f64 x 2)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 (*.f64 y x)))
(+.f64 (.f64 (.f64 y x) 2) (*.f64 2 (pow.f64 x 2)))
(.f64 2 (+.f64 (.f64 y x) (pow.f64 x 2)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 (*.f64 y x)))
(+.f64 (.f64 (.f64 y x) 2) (*.f64 2 (pow.f64 x 2)))
(.f64 2 (+.f64 (.f64 y x) (pow.f64 x 2)))
(.f64 2 (.f64 y x))
(.f64 (.f64 y x) 2)
(.f64 x (.f64 y 2))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 (*.f64 y x)))
(+.f64 (.f64 (.f64 y x) 2) (*.f64 2 (pow.f64 x 2)))
(.f64 2 (+.f64 (.f64 y x) (pow.f64 x 2)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 (*.f64 y x)))
(+.f64 (.f64 (.f64 y x) 2) (*.f64 2 (pow.f64 x 2)))
(.f64 2 (+.f64 (.f64 y x) (pow.f64 x 2)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 (*.f64 y x)))
(+.f64 (.f64 (.f64 y x) 2) (*.f64 2 (pow.f64 x 2)))
(.f64 2 (+.f64 (.f64 y x) (pow.f64 x 2)))
(-.f64 (*.f64 x (+.f64 x y)) 0)
(*.f64 x (+.f64 y x))
(-.f64 0 (*.f64 x (neg.f64 (+.f64 x y))))
(*.f64 x (+.f64 y x))
(*.f64 x (+.f64 x y))
(*.f64 x (+.f64 y x))
(.f64 (.f64 x (+.f64 x y)) 1)
(*.f64 x (+.f64 y x))
(.f64 1 (.f64 x (+.f64 x y)))
(*.f64 x (+.f64 y x))
(*.f64 (+.f64 x y) x)
(*.f64 x (+.f64 y x))
(.f64 -1 (.f64 x (neg.f64 (+.f64 x y))))
(*.f64 x (+.f64 y x))
(*.f64 (neg.f64 x) (neg.f64 (+.f64 x y)))
(*.f64 x (+.f64 y x))
(.f64 (.f64 x (neg.f64 (+.f64 x y))) -1)
(*.f64 x (+.f64 y x))
(*.f64 (neg.f64 (+.f64 x y)) (neg.f64 x))
(*.f64 x (+.f64 y x))
(/.f64 (*.f64 x (+.f64 x y)) 1)
(*.f64 x (+.f64 y x))
(/.f64 (*.f64 x (neg.f64 (+.f64 x y))) -1)
(*.f64 x (+.f64 y x))
(pow.f64 (*.f64 x (+.f64 x y)) 1)
(*.f64 x (+.f64 y x))
(neg.f64 (*.f64 x (neg.f64 (+.f64 x y))))
(*.f64 x (+.f64 y x))
(+.f64 (.f64 (+.f64 x y) (.f64 x 2)) 0)
(.f64 x (.f64 (+.f64 y x) 2))
(.f64 x (.f64 2 (+.f64 y x)))
(+.f64 0 (.f64 (+.f64 x y) (.f64 x 2)))
(.f64 x (.f64 (+.f64 y x) 2))
(.f64 x (.f64 2 (+.f64 y x)))
(-.f64 (.f64 (+.f64 x y) (.f64 x 2)) 0)
(.f64 x (.f64 (+.f64 y x) 2))
(.f64 x (.f64 2 (+.f64 y x)))
(-.f64 0 (.f64 x (.f64 (+.f64 x y) -2)))
(.f64 x (.f64 (+.f64 y x) 2))
(.f64 x (.f64 2 (+.f64 y x)))
(/.f64 (.f64 (+.f64 x y) (.f64 x 2)) 1)
(.f64 x (.f64 (+.f64 y x) 2))
(.f64 x (.f64 2 (+.f64 y x)))
(/.f64 (.f64 x (.f64 (+.f64 x y) -2)) -1)
(.f64 x (.f64 (+.f64 y x) 2))
(.f64 x (.f64 2 (+.f64 y x)))
(pow.f64 (.f64 (+.f64 x y) (.f64 x 2)) 1)
(.f64 x (.f64 (+.f64 y x) 2))
(.f64 x (.f64 2 (+.f64 y x)))
(neg.f64 (.f64 x (.f64 (+.f64 x y) -2)))
(.f64 x (.f64 (+.f64 y x) 2))
(.f64 x (.f64 2 (+.f64 y x)))

eval8.0ms (0.4%)

Compiler: Compiled 491 to 258 computations (47.5% saved)

prune7.0ms (0.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	59	1	60
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	59	3	62

Error

0.0b

Counts

62 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	18.9b	(.f64 y (.f64 2 x))
✓	0.0b	(.f64 2 (+.f64 (.f64 x x) (*.f64 x y)))
✓	0.0b	(.f64 2 (.f64 x (+.f64 y x)))

Compiler

Compiled 27 to 18 computations (33.3% saved)

localize5.0ms (0.3%)

Compiler: Compiled 13 to 8 computations (38.5% saved)

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	2	2
Total	3	3

Error

0.0b

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	18.9b	(.f64 y (.f64 2 x))
✓	0.0b	(.f64 2 (+.f64 (.f64 x x) (*.f64 x y)))
✓	0.0b	(.f64 2 (.f64 x (+.f64 y x)))

Compiler

Compiled 27 to 18 computations (33.3% saved)

regimes14.0ms (0.7%)

Accuracy

Total -18.9b remaining (-80714.6%)

Threshold costs -18.9b (-80714.6%)

Counts

3 → 1

Calls

Call 1

Inputs
(.f64 y (.f64 2 x))
(.f64 2 (.f64 x (+.f64 y x)))
(.f64 2 (+.f64 (.f64 x x) (*.f64 x y)))

Outputs
(.f64 2 (.f64 x (+.f64 y x)))

Calls

4 calls:

4.0ms	(.f64 2 (+.f64 (.f64 x x) (*.f64 x y)))
3.0ms	y
3.0ms	x
3.0ms	(+.f64 (.f64 x x) (.f64 x y))

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`(.f64 2 (+.f64 (.f64 x x) (*.f64 x y)))`
0.0b	1	`(+.f64 (.f64 x x) (.f64 x y))`

Compiler

Compiled 49 to 30 computations (38.8% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	32

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(.f64 2 (.f64 x (+.f64 y x)))
(.f64 y (.f64 2 x))

Outputs
(.f64 2 (.f64 x (+.f64 y x)))
(.f64 y (.f64 2 x))

Compiler

Compiled 16 to 11 computations (31.3% saved)

soundness11.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

14×	`rational_best-simplify-2`
4×	`rational_best-simplify-1`
4×	`rational_best-simplify-51`
4×	`rational_best-simplify-44`
2×	`rational_best-simplify-22`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	14	19
2	18	19
3	21	19
4	25	19
5	27	19

Stop Event

1×

saturated

Compiler

Compiled 27 to 15 computations (44.4% saved)

end16.0ms (0.8%)

Compiler: Compiled 14 to 9 computations (35.7% saved)

Iter	Nodes	Cost
0	9	44
1	61	32
2	100	32
3	124	32
4	140	32
5	167	32
6	181	32
7	195	32
8	212	32
9	229	32
10	315	32
11	446	32
12	549	32
13	578	32

Iter	Nodes	Cost
0	9	44
1	61	32
2	100	32
3	124	32
4	140	32
5	167	32
6	181	32
7	195	32
8	212	32
9	229	32
10	315	32
11	446	32
12	549	32
13	578	32

Details

analyze64.0ms (3.4%)

sample1.3s (68%)

preprocess19.0ms (1%)

simplify10.0ms (0.5%)

eval1.0ms (0%)

prune1.0ms (0.1%)

localize6.0ms (0.3%)

series3.0ms (0.2%)

rewrite13.0ms (0.7%)

simplify99.0ms (5.3%)

localize8.0ms (0.4%)

series3.0ms (0.1%)

rewrite242.0ms (12.9%)

simplify68.0ms (3.6%)

eval8.0ms (0.4%)

prune7.0ms (0.4%)

localize5.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0.1%)

regimes14.0ms (0.7%)

simplify2.0ms (0.1%)

soundness11.0ms (0.6%)

end16.0ms (0.8%)

Profiling

Iter	Nodes	Cost
0	9	44
1	61	32
2	100	32
3	124	32
4	140	32
5	167	32
6	181	32
7	195	32
8	212	32
9	229	32
10	315	32
11	446	32
12	549	32
13	578	32