Details

analyze96.0ms (2%)

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
0%	0%	99.9%	0.1%	0%	0%	0%	5
25%	25%	74.9%	0.1%	0%	0%	0%	6
43.8%	43.7%	56.2%	0.1%	0%	0%	0%	7
56.3%	56.2%	43.7%	0.1%	0%	0%	0%	8
70.3%	70.2%	29.7%	0.1%	0%	0%	0%	9
76.6%	76.5%	23.4%	0.1%	0%	0%	0%	10
84.8%	84.7%	15.2%	0.1%	0%	0%	0%	11
87.9%	87.8%	12.1%	0.1%	0%	0%	0%	12

Compiler

Compiled 12 to 8 computations (33.3% saved)

sample1.9s (39%)

Results

1.9s

8256×

body

256

valid

Bogosity

preprocess100.0ms (2%)

Algorithm

2×	egg-herbie

Rules

1386×	`rational.json-simplify-35`
1236×	`rational.json-simplify-55`
1140×	`rational.json-simplify-61`
1076×	`rational.json-simplify-53`
988×	`rational.json-simplify-49`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	50
1	32	50
2	92	50
3	218	50
4	654	50
5	2603	50
6	4124	50
7	5900	50
8	7069	50
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(/.f64 (.f64 (.f64 x 2) y) (-.f64 x y))
(/.f64 (.f64 (.f64 y 2) x) (-.f64 y x))

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

Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify93.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

2122×	`rational.json-simplify-35`
1274×	`rational.json-simplify-53`
1036×	`rational.json-simplify-41`
950×	`rational.json-simplify-55`
872×	`rational.json-simplify-43`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	20	25
2	51	25
3	126	25
4	338	25
5	1039	25
6	3103	25
7	5185	25
8	7342	25

Stop Event

1×	node limit

Counts

1 → 5

Calls

Call 1

Inputs
(/.f64 (.f64 (.f64 x 2) y) (-.f64 x y))

Outputs
(/.f64 (.f64 (.f64 x 2) y) (-.f64 x y))
(.f64 y (/.f64 (.f64 x 2) (-.f64 x y)))
(.f64 (.f64 x 2) (/.f64 y (-.f64 x y)))
(.f64 (.f64 2 y) (/.f64 x (-.f64 x y)))
(*.f64 x (/.f64 y (/.f64 (-.f64 y x) -2)))

eval1.0ms (0%)

Compiler: Compiled 47 to 24 computations (48.9% saved)

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	3	2	5
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	4	2	6

Error

Counts

6 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	6.9b	(.f64 (.f64 x 2) (/.f64 y (-.f64 x y)))
▶	6.9b	(.f64 (.f64 2 y) (/.f64 x (-.f64 x y)))

Compiler

Compiled 22 to 14 computations (36.4% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 x (-.f64 x y))
✓	6.9b	(.f64 (.f64 2 y) (/.f64 x (-.f64 x y)))

Compiler

Compiled 25 to 10 computations (60% saved)

series3.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(.f64 (.f64 2 y) (/.f64 x (-.f64 x y)))
0.0ms	y	@	inf	(.f64 (.f64 2 y) (/.f64 x (-.f64 x y)))
0.0ms	x	@	0	(.f64 (.f64 2 y) (/.f64 x (-.f64 x y)))
0.0ms	x	@	inf	(.f64 (.f64 2 y) (/.f64 x (-.f64 x y)))
0.0ms	x	@	0	(/.f64 x (-.f64 x y))

rewrite76.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1756×	`rational.json-1`
1756×	`rational.json-2`
1756×	`rational.json-4`
1756×	`rational.json-3`
1748×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	38
1	65	38
2	176	38
3	439	38
4	1237	38
5	4417	38

Stop Event

1×	node limit

Counts

2 → 131

Calls

Call 1

Inputs
(.f64 (.f64 2 y) (/.f64 x (-.f64 x y)))
(/.f64 x (-.f64 x y))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 -2 (/.f64 y (/.f64 (-.f64 y x) x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 -2 (/.f64 y (/.f64 (-.f64 y x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 y (/.f64 (-.f64 x y) x)) (/.f64 y (/.f64 (-.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 -2 (/.f64 y (/.f64 (-.f64 y x) x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (/.f64 (-.f64 x y) x) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (+.f64 (/.f64 (/.f64 (-.f64 x y) x) (+.f64 y y)) (/.f64 (/.f64 (-.f64 x y) x) (+.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (/.f64 (.f64 (-.f64 x y) 4) x) (.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 (-.f64 y x) (.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 (/.f64 (-.f64 y x) (/.f64 x -2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 y y) (/.f64 (-.f64 x y) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (-.f64 x y) (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (-.f64 x y)) (/.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -2 (/.f64 y (/.f64 (-.f64 y x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (-.f64 x y) x) (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 1 x) (/.f64 2 (/.f64 (-.f64 x y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x x) (/.f64 (-.f64 x y) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x x) (+.f64 (/.f64 (-.f64 x y) (+.f64 y y)) (/.f64 (-.f64 x y) (+.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (/.f64 (-.f64 y x) (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (/.f64 (neg.f64 (.f64 2 (-.f64 x y))) (.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (/.f64 -1 (/.f64 2 (/.f64 (-.f64 x y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (/.f64 (-.f64 y x) x) (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (/.f64 (-.f64 y x) (/.f64 x 2)) (.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x 4) (+.f64 (/.f64 (-.f64 x y) y) (/.f64 (-.f64 x y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x 4) (/.f64 (.f64 (-.f64 x y) 4) (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x 4) (/.f64 4 (/.f64 2 (/.f64 (-.f64 x y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 y 4) (/.f64 (-.f64 y x) (/.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (.f64 (/.f64 y (-.f64 x y)) 4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 x (-.f64 y x)) -2) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 x (-.f64 y x)) -2) (+.f64 (/.f64 1/2 y) (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1 (-.f64 y x)) (/.f64 (/.f64 1 x) (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (+.f64 (/.f64 (/.f64 (-.f64 x y) x) y) (/.f64 (/.f64 (-.f64 x y) x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 (.f64 2 (/.f64 (-.f64 y x) (/.f64 x -2))) (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 (/.f64 (.f64 (-.f64 x y) 4) x) (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 x (-.f64 x y)) (.f64 y 8)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 x (-.f64 x y)) 4) (+.f64 (/.f64 1 y) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 x (-.f64 x y)) 4) (/.f64 4 (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x 8) (/.f64 (.f64 (-.f64 x y) 8) (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x -4) (/.f64 (.f64 (-.f64 y x) 4) (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 y 8) (.f64 2 (/.f64 (-.f64 y x) (/.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 y 8) (.f64 (/.f64 (-.f64 x y) x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 y (-.f64 x y)) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 (/.f64 (-.f64 x y) y)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (-.f64 y x)) (/.f64 -1 (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 (/.f64 (-.f64 x y) x) (.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 (/.f64 (-.f64 y x) (.f64 x -2)) (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 (/.f64 1/2 x) (/.f64 2 (/.f64 (-.f64 x y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1/2 (-.f64 y x)) (/.f64 (/.f64 1/2 x) (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (-.f64 y x)) (/.f64 (/.f64 -1 x) (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x -2) (+.f64 (/.f64 (-.f64 y x) (+.f64 y y)) (/.f64 (-.f64 y x) (+.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x -2) (/.f64 (.f64 2 (-.f64 y x)) (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x -2) (/.f64 (neg.f64 (.f64 2 (-.f64 x y))) (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 x (-.f64 x y)) (/.f64 x (-.f64 x y))) (/.f64 (.f64 (/.f64 x (-.f64 y x)) -2) (.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 y 8)) (+.f64 (.f64 (/.f64 (-.f64 x y) x) 4) (.f64 (/.f64 (-.f64 x y) x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (/.f64 x (-.f64 x y)) (.f64 y 8))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 y y) (-.f64 y x)) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 x 4) (-.f64 x y)) (/.f64 4 (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 x x) (-.f64 y x)) (/.f64 -2 (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (/.f64 (-.f64 x y) (.f64 y 8))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (.f64 2 (-.f64 x y))) (/.f64 1 (.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 x (-.f64 x y))) (/.f64 -1 (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 y y)) (neg.f64 (/.f64 (-.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 x (-.f64 y x)) 2) (/.f64 -1 (.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 2 (/.f64 (-.f64 x y) y)) (/.f64 2 (/.f64 (-.f64 x y) y))) (+.f64 (/.f64 1 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (/.f64 x (-.f64 x y)) (.f64 y 8))) (.f64 2 (.f64 (/.f64 x (-.f64 x y)) (.f64 y 8)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 x (/.f64 (-.f64 x y) (.f64 y 8))) (/.f64 x (/.f64 (-.f64 x y) (.f64 y 8)))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (+.f64 y y)) (neg.f64 (+.f64 y y))) (+.f64 (neg.f64 (/.f64 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((#(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 -1 (-.f64 1 (/.f64 x (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (.f64 2 (-.f64 x y))) (/.f64 x (.f64 2 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (/.f64 x (-.f64 y x))) -1)))) (#(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 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 x (.f64 2 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (/.f64 x (.f64 2 (-.f64 x y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (/.f64 x 2) (/.f64 -1 (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (/.f64 x (-.f64 x y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 x (/.f64 -1/2 (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (/.f64 x -2) (/.f64 1 (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (/.f64 -1/2 (-.f64 y x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (/.f64 -1 (-.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (.f64 2 (/.f64 -1/2 (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (.f64 (/.f64 1 (-.f64 y x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (.f64 (.f64 2 (/.f64 -1 (-.f64 y x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (.f64 (/.f64 2 (-.f64 x y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (.f64 -1 (/.f64 1 (-.f64 y x))))))) (#(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 x) (/.f64 -1/2 (-.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x x) (.f64 (/.f64 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Outputs

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((#(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 -1 (-.f64 1 (/.f64 x (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (*.f64 2 (-.f64 x y))) (/.f64 x (*.f64 2 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (/.f64 x (-.f64 y x))) -1)))) (#(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 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 x (*.f64 2 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 x (*.f64 2 (-.f64 x y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 x 2) (/.f64 -1 (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 x (-.f64 x y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 x 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(*.f64 (/.f64 (+.f64 x x) (-.f64 y x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (*.f64 x -2) (/.f64 1 (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 (-.f64 y x)) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 y x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -2) (/.f64 1/2 (-.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -2) (*.f64 1/2 (/.f64 1 (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -2) (*.f64 (/.f64 1/2 (-.f64 y x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -1 (-.f64 y x)) 1/2) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (*.f64 2 (-.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 -1 (-.f64 y x)) 4) (*.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (-.f64 y x)) (*.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 2) (*.f64 2 (/.f64 -1 (-.f64 y x))))))) (#(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 (-.f64 y x)))))))

simplify197.0ms (4%)

Algorithm

1×	egg-herbie

Rules

1204×	`rational.json-simplify-2`
1062×	`rational.json-simplify-35`
930×	`rational.json-simplify-53`
840×	`rational.json-simplify-41`
798×	`rational.json-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	348	4907
1	1121	4721
2	3592	4625
3	5165	4613

Stop Event

1×	node limit

Counts

179 → 203

Calls

Call 1

Inputs
(*.f64 2 y)
(+.f64 (.f64 2 y) (.f64 2 (/.f64 (pow.f64 y 2) x)))
(+.f64 (.f64 2 y) (+.f64 (.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 2 (/.f64 (pow.f64 y 2) x))))
(+.f64 (.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (.f64 2 y) (+.f64 (.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (.f64 2 (/.f64 (pow.f64 y 2) x)))))
(*.f64 -2 x)
(+.f64 (.f64 -2 (/.f64 (pow.f64 x 2) y)) (.f64 -2 x))
(+.f64 (.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 -2 (/.f64 (pow.f64 x 2) y)) (*.f64 -2 x)))
(+.f64 (.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 (.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 -2 (/.f64 (pow.f64 x 2) y)) (.f64 -2 x))))
(*.f64 -2 x)
(+.f64 (.f64 -2 (/.f64 (pow.f64 x 2) y)) (.f64 -2 x))
(+.f64 (.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 -2 (/.f64 (pow.f64 x 2) y)) (*.f64 -2 x)))
(+.f64 (.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 (.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 -2 (/.f64 (pow.f64 x 2) y)) (.f64 -2 x))))
(*.f64 -2 x)
(+.f64 (.f64 -2 (/.f64 (pow.f64 x 2) y)) (.f64 -2 x))
(+.f64 (.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 -2 (/.f64 (pow.f64 x 2) y)) (*.f64 -2 x)))
(+.f64 (.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 (.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 -2 (/.f64 (pow.f64 x 2) y)) (.f64 -2 x))))
(*.f64 2 y)
(+.f64 (.f64 2 y) (.f64 2 (/.f64 (pow.f64 y 2) x)))
(+.f64 (.f64 2 y) (+.f64 (.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 2 (/.f64 (pow.f64 y 2) x))))
(+.f64 (.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (.f64 2 y) (+.f64 (.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (.f64 2 (/.f64 (pow.f64 y 2) x)))))
(*.f64 2 y)
(+.f64 (.f64 2 y) (.f64 2 (/.f64 (pow.f64 y 2) x)))
(+.f64 (.f64 2 y) (+.f64 (.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 2 (/.f64 (pow.f64 y 2) x))))
(+.f64 (.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (.f64 2 y) (+.f64 (.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (.f64 2 (/.f64 (pow.f64 y 2) x)))))
(*.f64 -1 (/.f64 x y))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (.f64 -1 (/.f64 x y)))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 -1 (/.f64 x y))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (.f64 -1 (/.f64 x y)))))
1
(+.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) (+.f64 1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (/.f64 y x) (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 1 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
1
(+.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) (+.f64 1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (/.f64 y x) (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 1 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
1
(+.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) (+.f64 1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (/.f64 y x) (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 1 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(*.f64 -1 (/.f64 x y))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (.f64 -1 (/.f64 x y)))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 -1 (/.f64 x y))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (.f64 -1 (/.f64 x y)))))
(*.f64 -1 (/.f64 x y))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (.f64 -1 (/.f64 x y)))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 -1 (/.f64 x y))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (.f64 -1 (/.f64 x y)))))
(+.f64 (*.f64 -2 (/.f64 y (/.f64 (-.f64 y x) x))) 0)
(+.f64 0 (*.f64 -2 (/.f64 y (/.f64 (-.f64 y x) x))))
(+.f64 (/.f64 y (/.f64 (-.f64 x y) x)) (/.f64 y (/.f64 (-.f64 x y) x)))
(-.f64 (*.f64 -2 (/.f64 y (/.f64 (-.f64 y x) x))) 0)
(/.f64 2 (/.f64 (/.f64 (-.f64 x y) x) y))
(/.f64 2 (+.f64 (/.f64 (/.f64 (-.f64 x y) x) (+.f64 y y)) (/.f64 (/.f64 (-.f64 x y) x) (+.f64 y y))))
(/.f64 2 (/.f64 (/.f64 (.f64 (-.f64 x y) 4) x) (.f64 y 4)))
(/.f64 y (/.f64 (-.f64 y x) (*.f64 x -2)))
(/.f64 y (/.f64 (/.f64 (-.f64 y x) (/.f64 x -2)) 4))
(/.f64 (+.f64 y y) (/.f64 (-.f64 x y) x))
(/.f64 x (/.f64 (-.f64 x y) (+.f64 y y)))
(/.f64 (/.f64 x (-.f64 x y)) (/.f64 1/2 y))
(/.f64 (*.f64 -2 (/.f64 y (/.f64 (-.f64 y x) x))) 1)
(/.f64 1 (/.f64 (/.f64 (-.f64 x y) x) (+.f64 y y)))
(/.f64 1 (/.f64 (/.f64 1 x) (/.f64 2 (/.f64 (-.f64 x y) y))))
(/.f64 (+.f64 x x) (/.f64 (-.f64 x y) y))
(/.f64 (+.f64 x x) (+.f64 (/.f64 (-.f64 x y) (+.f64 y y)) (/.f64 (-.f64 x y) (+.f64 y y))))
(/.f64 (neg.f64 x) (/.f64 (-.f64 y x) (+.f64 y y)))
(/.f64 (neg.f64 x) (/.f64 (neg.f64 (.f64 2 (-.f64 x y))) (.f64 y 4)))
(/.f64 (neg.f64 x) (/.f64 -1 (/.f64 2 (/.f64 (-.f64 x y) y))))
(/.f64 -1 (/.f64 (/.f64 (-.f64 y x) x) (+.f64 y y)))
(/.f64 -1 (/.f64 (/.f64 (-.f64 y x) (/.f64 x 2)) (*.f64 y 4)))
(/.f64 (*.f64 x 4) (+.f64 (/.f64 (-.f64 x y) y) (/.f64 (-.f64 x y) y)))
(/.f64 (.f64 x 4) (/.f64 (.f64 (-.f64 x y) 4) (+.f64 y y)))
(/.f64 (*.f64 x 4) (/.f64 4 (/.f64 2 (/.f64 (-.f64 x y) y))))
(/.f64 (*.f64 y 4) (/.f64 (-.f64 y x) (/.f64 x -2)))
(/.f64 (.f64 x (.f64 (/.f64 y (-.f64 x y)) 4)) 2)
(/.f64 (*.f64 (/.f64 x (-.f64 y x)) -2) (/.f64 1 y))
(/.f64 (*.f64 (/.f64 x (-.f64 y x)) -2) (+.f64 (/.f64 1/2 y) (/.f64 1/2 y)))
(/.f64 (/.f64 -1 (-.f64 y x)) (/.f64 (/.f64 1 x) (+.f64 y y)))
(/.f64 4 (+.f64 (/.f64 (/.f64 (-.f64 x y) x) y) (/.f64 (/.f64 (-.f64 x y) x) y)))
(/.f64 4 (/.f64 (*.f64 2 (/.f64 (-.f64 y x) (/.f64 x -2))) (+.f64 y y)))
(/.f64 4 (/.f64 (/.f64 (*.f64 (-.f64 x y) 4) x) (+.f64 y y)))
(/.f64 (.f64 (/.f64 x (-.f64 x y)) (.f64 y 8)) 4)
(/.f64 (*.f64 (/.f64 x (-.f64 x y)) 4) (+.f64 (/.f64 1 y) (/.f64 1 y)))
(/.f64 (*.f64 (/.f64 x (-.f64 x y)) 4) (/.f64 4 (+.f64 y y)))
(/.f64 (.f64 x 8) (/.f64 (.f64 (-.f64 x y) 8) (+.f64 y y)))
(/.f64 (.f64 x -4) (/.f64 (.f64 (-.f64 y x) 4) (+.f64 y y)))
(/.f64 (.f64 y 8) (.f64 2 (/.f64 (-.f64 y x) (/.f64 x -2))))
(/.f64 (.f64 y 8) (.f64 (/.f64 (-.f64 x y) x) 4))
(/.f64 (/.f64 y (-.f64 x y)) (/.f64 1/2 x))
(/.f64 (/.f64 2 (/.f64 (-.f64 x y) y)) (/.f64 1 x))
(/.f64 (/.f64 x (-.f64 y x)) (/.f64 -1 (+.f64 y y)))
(/.f64 1/2 (/.f64 (/.f64 (-.f64 x y) x) (*.f64 y 4)))
(/.f64 1/2 (/.f64 (/.f64 (-.f64 y x) (*.f64 x -2)) (+.f64 y y)))
(/.f64 1/2 (/.f64 (/.f64 1/2 x) (/.f64 2 (/.f64 (-.f64 x y) y))))
(/.f64 (/.f64 -1/2 (-.f64 y x)) (/.f64 (/.f64 1/2 x) (+.f64 y y)))
(/.f64 (/.f64 1 (-.f64 y x)) (/.f64 (/.f64 -1 x) (+.f64 y y)))
(/.f64 (*.f64 x -2) (+.f64 (/.f64 (-.f64 y x) (+.f64 y y)) (/.f64 (-.f64 y x) (+.f64 y y))))
(/.f64 (.f64 x -2) (/.f64 (.f64 2 (-.f64 y x)) (+.f64 y y)))
(/.f64 (.f64 x -2) (/.f64 (neg.f64 (.f64 2 (-.f64 x y))) (+.f64 y y)))
(/.f64 (.f64 (/.f64 x (-.f64 x y)) (/.f64 x (-.f64 x y))) (/.f64 (.f64 (/.f64 x (-.f64 y x)) -2) (*.f64 y 4)))
(/.f64 (.f64 2 (.f64 y 8)) (+.f64 (.f64 (/.f64 (-.f64 x y) x) 4) (.f64 (/.f64 (-.f64 x y) x) 4)))
(/.f64 (.f64 2 (.f64 (/.f64 x (-.f64 x y)) (*.f64 y 8))) 8)
(/.f64 (/.f64 (+.f64 y y) (-.f64 y x)) (/.f64 -1 x))
(/.f64 (/.f64 (*.f64 x 4) (-.f64 x y)) (/.f64 4 (+.f64 y y)))
(/.f64 (/.f64 (+.f64 x x) (-.f64 y x)) (/.f64 -2 (+.f64 y y)))
(/.f64 (/.f64 x (/.f64 (-.f64 x y) (*.f64 y 8))) 4)
(/.f64 (/.f64 x (.f64 2 (-.f64 x y))) (/.f64 1 (.f64 y 4)))
(/.f64 (neg.f64 (/.f64 x (-.f64 x y))) (/.f64 -1 (+.f64 y y)))
(/.f64 (neg.f64 (+.f64 y y)) (neg.f64 (/.f64 (-.f64 x y) x)))
(/.f64 (/.f64 (/.f64 x (-.f64 y x)) 2) (/.f64 -1 (*.f64 y 4)))
(/.f64 (+.f64 (/.f64 2 (/.f64 (-.f64 x y) y)) (/.f64 2 (/.f64 (-.f64 x y) y))) (+.f64 (/.f64 1 x) (/.f64 1 x)))
(/.f64 (+.f64 (.f64 2 (.f64 (/.f64 x (-.f64 x y)) (.f64 y 8))) (.f64 2 (.f64 (/.f64 x (-.f64 x y)) (.f64 y 8)))) 16)
(/.f64 (+.f64 (/.f64 x (/.f64 (-.f64 x y) (.f64 y 8))) (/.f64 x (/.f64 (-.f64 x y) (.f64 y 8)))) 8)
(/.f64 (+.f64 (neg.f64 (+.f64 y y)) (neg.f64 (+.f64 y y))) (+.f64 (neg.f64 (/.f64 (-.f64 x y) x)) (neg.f64 (/.f64 (-.f64 x y) x))))
(/.f64 (/.f64 (+.f64 y y) (/.f64 1 x)) (-.f64 x y))
(/.f64 (/.f64 (+.f64 y y) 1/2) (/.f64 (-.f64 y x) (/.f64 x -2)))
(/.f64 (/.f64 (*.f64 y 4) (-.f64 x y)) (/.f64 2 x))
(/.f64 (neg.f64 (*.f64 y 4)) (-.f64 0 (/.f64 (-.f64 y x) (/.f64 x -2))))
(/.f64 (neg.f64 (/.f64 2 (/.f64 (-.f64 x y) y))) (-.f64 0 (/.f64 1 x)))
(/.f64 (neg.f64 (neg.f64 (+.f64 y y))) (/.f64 (-.f64 x y) x))
(pow.f64 (*.f64 -2 (/.f64 y (/.f64 (-.f64 y x) x))) 1)
(+.f64 (/.f64 x (-.f64 x y)) 0)
(+.f64 0 (/.f64 x (-.f64 x y)))
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 y x))))
(+.f64 (/.f64 x (.f64 2 (-.f64 x y))) (/.f64 x (.f64 2 (-.f64 x y))))
(+.f64 (-.f64 1 (/.f64 x (-.f64 y x))) -1)
(-.f64 (/.f64 x (-.f64 x y)) 0)
(-.f64 0 (/.f64 x (-.f64 y x)))
(.f64 2 (/.f64 x (.f64 2 (-.f64 x y))))
(.f64 2 (.f64 (/.f64 x (*.f64 2 (-.f64 x y))) 1))
(.f64 2 (.f64 (/.f64 x 2) (/.f64 -1 (-.f64 y x))))
(.f64 2 (.f64 (/.f64 x (-.f64 x y)) 1/2))
(.f64 2 (.f64 x (/.f64 -1/2 (-.f64 y x))))
(.f64 2 (.f64 (/.f64 x -2) (/.f64 1 (-.f64 y x))))
(.f64 2 (.f64 (/.f64 -1/2 (-.f64 y x)) x))
(*.f64 x (/.f64 -1 (-.f64 y x)))
(.f64 x (.f64 2 (/.f64 -1/2 (-.f64 y x))))
(.f64 x (.f64 (/.f64 1 (-.f64 y x)) -1))
(.f64 x (.f64 (*.f64 2 (/.f64 -1 (-.f64 y x))) 1/2))
(.f64 x (.f64 (/.f64 2 (-.f64 x y)) 1/2))
(.f64 x (.f64 -1 (/.f64 1 (-.f64 y x))))
(*.f64 (/.f64 x (-.f64 x y)) 1)
(*.f64 1 (/.f64 x (-.f64 x y)))
(*.f64 (+.f64 x x) (/.f64 -1/2 (-.f64 y x)))
(.f64 (+.f64 x x) (.f64 (/.f64 -1 (-.f64 y x)) 1/2))
(.f64 (+.f64 x x) (.f64 (*.f64 (/.f64 -1 (-.f64 y x)) 1/2) 1))
(.f64 (+.f64 x x) (.f64 (*.f64 2 (/.f64 -1/2 (-.f64 y x))) 1/2))
(.f64 (+.f64 x x) (.f64 -1/2 (/.f64 1 (-.f64 y x))))
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 y x)))
(.f64 (neg.f64 x) (.f64 -1 (/.f64 -1 (-.f64 y x))))
(.f64 (neg.f64 x) (.f64 (*.f64 2 (/.f64 1 (-.f64 y x))) 1/2))
(*.f64 -1 (/.f64 x (-.f64 y x)))
(.f64 -1 (.f64 (neg.f64 x) (/.f64 -1 (-.f64 y x))))
(.f64 -1 (.f64 (*.f64 2 (/.f64 x (-.f64 y x))) 1/2))
(.f64 (.f64 x 4) (/.f64 (/.f64 -1 (-.f64 y x)) 4))
(.f64 (.f64 x 4) (*.f64 (/.f64 (/.f64 -1 (-.f64 y x)) 4) 1))
(.f64 (.f64 x 4) (*.f64 1/4 (/.f64 -1 (-.f64 y x))))
(.f64 (.f64 x 4) (*.f64 1/2 (/.f64 -1/2 (-.f64 y x))))
(.f64 (.f64 (/.f64 x (-.f64 y x)) -2) 1/2)
(*.f64 (/.f64 -1 (-.f64 y x)) x)
(.f64 (.f64 2 (/.f64 -1 (-.f64 y x))) (/.f64 x 2))
(.f64 (.f64 2 (/.f64 -1 (-.f64 y x))) (*.f64 (/.f64 x 2) 1))
(.f64 (.f64 2 (/.f64 -1 (-.f64 y x))) (*.f64 x 1/2))
(*.f64 (/.f64 x (-.f64 y x)) -1)
(.f64 1/2 (.f64 (/.f64 x (-.f64 y x)) -2))
(.f64 1/2 (.f64 (/.f64 (+.f64 x x) (-.f64 y x)) -1))
(.f64 1/2 (.f64 (*.f64 x -2) (/.f64 1 (-.f64 y x))))
(*.f64 (/.f64 -1/2 (-.f64 y x)) (+.f64 x x))
(*.f64 (/.f64 1 (-.f64 y x)) (neg.f64 x))
(.f64 (.f64 x -2) (/.f64 1/2 (-.f64 y x)))
(.f64 (.f64 x -2) (*.f64 1/2 (/.f64 1 (-.f64 y x))))
(.f64 (.f64 x -2) (*.f64 (/.f64 1/2 (-.f64 y x)) 1))
(.f64 (.f64 (/.f64 -1 (-.f64 y x)) 1/2) (+.f64 x x))
(.f64 (/.f64 x (.f64 2 (-.f64 x y))) 2)
(.f64 (/.f64 (/.f64 -1 (-.f64 y x)) 4) (.f64 x 4))
(.f64 (/.f64 1/2 (-.f64 y x)) (.f64 x -2))
(.f64 (/.f64 x 2) (.f64 2 (/.f64 -1 (-.f64 y x))))
(pow.f64 (/.f64 x (-.f64 x y)) 1)
(neg.f64 (/.f64 x (-.f64 y x)))

Outputs
(*.f64 2 y)
(+.f64 y y)
(+.f64 (.f64 2 y) (.f64 2 (/.f64 (pow.f64 y 2) x)))
(*.f64 2 (+.f64 y (/.f64 (pow.f64 y 2) x)))
(+.f64 (.f64 2 y) (+.f64 (.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 2 (/.f64 (pow.f64 y 2) x))))
(+.f64 (.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 2 y) (*.f64 2 (/.f64 (pow.f64 y 2) x))))
(+.f64 (.f64 2 y) (.f64 2 (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 2)) (/.f64 (pow.f64 y 2) x))))
(*.f64 2 (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 2)) (+.f64 y (/.f64 (pow.f64 y 2) x))))
(+.f64 (.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (.f64 2 y) (+.f64 (.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (.f64 2 (/.f64 (pow.f64 y 2) x)))))
(+.f64 (.f64 2 y) (+.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 y 2) x)) (.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2)))) (.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(+.f64 (.f64 2 y) (+.f64 (.f64 2 (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 2)) (/.f64 (pow.f64 y 2) x))) (*.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(+.f64 (.f64 2 (+.f64 (/.f64 (pow.f64 y 2) x) (/.f64 (pow.f64 y 3) (pow.f64 x 2)))) (.f64 2 (+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) y)))
(+.f64 (.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (.f64 2 (+.f64 y (+.f64 (/.f64 (pow.f64 y 2) x) (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))
(*.f64 -2 x)
(*.f64 x -2)
(+.f64 (.f64 -2 (/.f64 (pow.f64 x 2) y)) (.f64 -2 x))
(+.f64 (.f64 -2 (/.f64 (pow.f64 x 2) y)) (.f64 x -2))
(*.f64 -2 (+.f64 x (/.f64 (pow.f64 x 2) y)))
(+.f64 (.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 -2 (/.f64 (pow.f64 x 2) y)) (*.f64 -2 x)))
(+.f64 (.f64 -2 (/.f64 (pow.f64 x 2) y)) (+.f64 (.f64 x -2) (*.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 2)))))
(+.f64 (.f64 -2 (/.f64 (pow.f64 x 2) y)) (.f64 -2 (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 2)) x)))
(*.f64 -2 (+.f64 (/.f64 (pow.f64 x 2) y) (+.f64 x (/.f64 (pow.f64 x 3) (pow.f64 y 2)))))
(*.f64 -2 (+.f64 x (+.f64 (/.f64 (pow.f64 x 2) y) (/.f64 (pow.f64 x 3) (pow.f64 y 2)))))
(+.f64 (.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 (.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 -2 (/.f64 (pow.f64 x 2) y)) (.f64 -2 x))))
(+.f64 (.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 x 2) y)) (.f64 x -2)) (.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 3)))))
(+.f64 (.f64 -2 (/.f64 (pow.f64 x 2) y)) (+.f64 (.f64 -2 (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 2)) x)) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 3)))))
(+.f64 (.f64 -2 (+.f64 (/.f64 (pow.f64 x 2) y) (+.f64 x (/.f64 (pow.f64 x 3) (pow.f64 y 2))))) (.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 3))))
(+.f64 (.f64 -2 (/.f64 (pow.f64 x 2) y)) (.f64 -2 (+.f64 x (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 2)) (/.f64 (pow.f64 x 4) (pow.f64 y 3))))))
(*.f64 -2 x)
(*.f64 x -2)
(+.f64 (.f64 -2 (/.f64 (pow.f64 x 2) y)) (.f64 -2 x))
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(pow.f64 (/.f64 x (-.f64 x y)) 1)
(/.f64 x (-.f64 x y))
(neg.f64 (/.f64 x (-.f64 y x)))
(/.f64 x (-.f64 x y))

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 y (-.f64 x y))
✓	6.9b	(.f64 (.f64 x 2) (/.f64 y (-.f64 x y)))

Compiler

Compiled 25 to 10 computations (60% saved)

series2.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(/.f64 y (-.f64 x y))
0.0ms	x	@	-inf	(/.f64 y (-.f64 x y))
0.0ms	x	@	0	(.f64 (.f64 x 2) (/.f64 y (-.f64 x y)))
0.0ms	y	@	inf	(/.f64 y (-.f64 x y))
0.0ms	x	@	inf	(/.f64 y (-.f64 x y))

rewrite201.0ms (4.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1760×	`rational.json-1`
1760×	`rational.json-2`
1760×	`rational.json-4`
1760×	`rational.json-3`
1752×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	38
1	65	38
2	176	38
3	439	38
4	1235	38
5	4441	38

Stop Event

1×	node limit

Counts

2 → 131

Calls

Call 1

Inputs
(.f64 (.f64 x 2) (/.f64 y (-.f64 x y)))
(/.f64 y (-.f64 x y))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (/.f64 2 (/.f64 (-.f64 x y) y))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 x (/.f64 2 (/.f64 (-.f64 x y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (/.f64 y (-.f64 x y))) (.f64 x (/.f64 y (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 x (/.f64 2 (/.f64 (-.f64 x y) y))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (-.f64 x y) (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (.f64 2 (/.f64 (-.f64 x y) y)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (/.f64 (-.f64 x y) y) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (+.f64 (/.f64 (/.f64 (/.f64 (-.f64 x y) y) x) 2) (/.f64 (/.f64 (/.f64 (-.f64 x y) y) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (/.f64 (.f64 (-.f64 x y) 4) y) (.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x x) (/.f64 (-.f64 x y) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 (-.f64 x y) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 y (-.f64 x y)) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (/.f64 2 (/.f64 (-.f64 x y) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (/.f64 (-.f64 x y) y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 1 y) (.f64 2 (/.f64 x (-.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 y y) (/.f64 (-.f64 x y) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 y y) (+.f64 (/.f64 (-.f64 x y) (+.f64 x x)) (/.f64 (-.f64 x y) (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 y) (/.f64 (-.f64 y x) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 y) (/.f64 (neg.f64 (.f64 2 (-.f64 x y))) (.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 y) (/.f64 -1 (.f64 2 (/.f64 x (-.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (/.f64 (-.f64 y x) y) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (/.f64 2 (/.f64 y (-.f64 y x))) (.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 y 4) (+.f64 (/.f64 (-.f64 x y) x) (/.f64 (-.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 y 4) (/.f64 (.f64 (-.f64 x y) 4) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 y 4) (/.f64 4 (.f64 2 (/.f64 x (-.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x 4) (.f64 2 (/.f64 (-.f64 x y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 y (.f64 (/.f64 x (-.f64 x y)) 4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 (/.f64 (-.f64 x y) y)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 (/.f64 (-.f64 x y) y)) (+.f64 (/.f64 1/2 x) (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (-.f64 x y)) (/.f64 (/.f64 1 y) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (+.f64 (/.f64 (/.f64 (-.f64 x y) y) x) (/.f64 (/.f64 (-.f64 x y) y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 (.f64 2 (.f64 2 (/.f64 (-.f64 x y) y))) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 (/.f64 (.f64 (-.f64 x y) 4) y) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 y (-.f64 x y)) (.f64 x 8)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 y (-.f64 x y)) 4) (+.f64 (/.f64 1 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 y (-.f64 x y)) 4) (/.f64 4 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 y 8) (/.f64 (.f64 (-.f64 x y) 8) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 y -4) (/.f64 (.f64 (-.f64 x y) -4) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x 8) (.f64 2 (.f64 2 (/.f64 (-.f64 x y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x 8) (.f64 (/.f64 (-.f64 x y) y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (-.f64 x y)) (/.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (/.f64 x (-.f64 x y))) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 y (-.f64 y x)) (/.f64 -1 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 (/.f64 (-.f64 x y) y) (.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 (/.f64 (-.f64 x y) (+.f64 y y)) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 (/.f64 1/2 y) (.f64 2 (/.f64 x (-.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/2 (-.f64 x y)) (/.f64 (/.f64 1/2 y) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (-.f64 y x)) (/.f64 (/.f64 -1 y) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 y -2) (+.f64 (/.f64 (-.f64 y x) (+.f64 x x)) (/.f64 (-.f64 y x) (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 y -2) (/.f64 (.f64 2 (-.f64 y x)) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 y -2) (/.f64 (neg.f64 (.f64 2 (-.f64 x y))) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 y (-.f64 x y)) (/.f64 y (-.f64 x y))) (/.f64 (/.f64 2 (/.f64 (-.f64 x y) y)) (.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 x 8)) (+.f64 (.f64 (/.f64 (-.f64 x y) y) 4) (.f64 (/.f64 (-.f64 x y) y) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (/.f64 y (-.f64 x y)) (.f64 x 8))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 x x) (-.f64 y x)) (/.f64 -1 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 y (-.f64 x y)) 1/4) (/.f64 4 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 y y) (-.f64 y x)) (/.f64 -2 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 x 8) (/.f64 (-.f64 x y) y)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 y (.f64 2 (-.f64 x y))) (/.f64 1 (.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 y (-.f64 x y))) (/.f64 -1 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 x x)) (neg.f64 (/.f64 (-.f64 x y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 y (-.f64 y x)) 2) (/.f64 -1 (.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (/.f64 x (-.f64 x y))) (.f64 2 (/.f64 x (-.f64 x y)))) (+.f64 (/.f64 1 y) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (/.f64 y (-.f64 x y)) (.f64 x 8))) (.f64 2 (.f64 (/.f64 y (-.f64 x y)) (.f64 x 8)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (.f64 x 8) (/.f64 (-.f64 x y) y)) (/.f64 (.f64 x 8) (/.f64 (-.f64 x y) y))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (+.f64 x x)) (neg.f64 (+.f64 x x))) (+.f64 (neg.f64 (/.f64 (-.f64 x y) y)) (neg.f64 (/.f64 (-.f64 x y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 x x) (/.f64 1 y)) (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 x x) 1/2) (.f64 2 (/.f64 (-.f64 x y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 x 4) (-.f64 x y)) (/.f64 2 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 x 4)) (-.f64 0 (.f64 2 (/.f64 (-.f64 x y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 2 (/.f64 x (-.f64 x y)))) (-.f64 0 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (+.f64 x x))) (/.f64 (-.f64 x y) y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (/.f64 2 (/.f64 (-.f64 x y) y))) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 y (-.f64 x y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 y (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 y (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 y (.f64 2 (-.f64 x y))) (/.f64 y (.f64 2 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (/.f64 y (-.f64 y x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 y (-.f64 x y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 y (-.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 y (.f64 2 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (/.f64 y (.f64 2 (-.f64 x y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (/.f64 y 2) (/.f64 1 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (/.f64 y (-.f64 x y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 y (/.f64 1/2 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (/.f64 y -2) (/.f64 1 (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (/.f64 1/2 (-.f64 x y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 y (/.f64 1 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 y (.f64 2 (/.f64 1/2 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 y (.f64 (/.f64 1 (-.f64 y x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 y (.f64 (.f64 2 (/.f64 1 (-.f64 x y))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 y (.f64 (/.f64 2 (-.f64 x y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 y (.f64 -1 (/.f64 1 (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 y (-.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 y (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 y y) (/.f64 1/2 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 y y) (.f64 (/.f64 1 (-.f64 x y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 y y) (.f64 (.f64 (/.f64 1 (-.f64 x y)) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 y y) (.f64 (.f64 2 (/.f64 1/2 (-.f64 x y))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 y y) (.f64 -1/2 (/.f64 1 (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 y) (/.f64 1 (-.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 y) (.f64 -1 (/.f64 1 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 y) (.f64 (.f64 2 (/.f64 1 (-.f64 y x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 y (-.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (.f64 (neg.f64 y) (/.f64 1 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (.f64 (.f64 2 (/.f64 y (-.f64 y x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 y 4) (/.f64 1 (.f64 (-.f64 x y) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 y 4) (.f64 (/.f64 1 (.f64 (-.f64 x y) 4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 y 4) (.f64 1/4 (/.f64 1 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 y 4) (.f64 1/2 (/.f64 1/2 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (/.f64 (-.f64 x y) y)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (-.f64 x y)) y)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (/.f64 1 (-.f64 x y))) (/.f64 y 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (/.f64 1 (-.f64 x y))) (.f64 (/.f64 y 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (/.f64 1 (-.f64 x y))) (.f64 y 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 y (-.f64 y x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (/.f64 2 (/.f64 (-.f64 x y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (/.f64 (+.f64 y y) (-.f64 y x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (.f64 y -2) (/.f64 1 (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 (-.f64 x y)) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (-.f64 y x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 y -2) (/.f64 1/2 (-.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 y -2) (.f64 (/.f64 1/2 (-.f64 y x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 y -2) (.f64 1/2 (/.f64 1 (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 1 (-.f64 x y)) 1/2) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 y (.f64 2 (-.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 (-.f64 x y) 4)) (.f64 y 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 (-.f64 y x)) (.f64 y -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 y 2) (*.f64 2 (/.f64 1 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (-.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (-.f64 y x)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (/.f64 2 (/.f64 (-.f64 x y) y))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (/.f64 2 (/.f64 (-.f64 x y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (/.f64 y (-.f64 x y))) (*.f64 x (/.f64 y (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (/.f64 2 (/.f64 (-.f64 x y) y))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (-.f64 x y) (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (*.f64 2 (/.f64 (-.f64 x y) y)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (/.f64 (-.f64 x y) y) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (+.f64 (/.f64 (/.f64 (/.f64 (-.f64 x y) y) x) 2) (/.f64 (/.f64 (/.f64 (-.f64 x y) y) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (/.f64 (*.f64 (-.f64 x y) 4) y) (*.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x x) (/.f64 (-.f64 x y) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 (-.f64 x y) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 y (-.f64 x y)) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (/.f64 2 (/.f64 (-.f64 x y) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (/.f64 (-.f64 x y) y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 1 y) (*.f64 2 (/.f64 x (-.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 y y) (/.f64 (-.f64 x y) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 y y) (+.f64 (/.f64 (-.f64 x y) (+.f64 x x)) (/.f64 (-.f64 x y) (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 y) (/.f64 (-.f64 y x) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 y) (/.f64 (neg.f64 (*.f64 2 (-.f64 x y))) (*.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 y) (/.f64 -1 (*.f64 2 (/.f64 x (-.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (/.f64 (-.f64 y x) y) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (/.f64 2 (/.f64 y (-.f64 y x))) (*.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y 4) (+.f64 (/.f64 (-.f64 x y) x) (/.f64 (-.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y 4) (/.f64 (*.f64 (-.f64 x y) 4) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y 4) (/.f64 4 (*.f64 2 (/.f64 x (-.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 4) (*.f64 2 (/.f64 (-.f64 x y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (*.f64 (/.f64 x (-.f64 x y)) 4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 (/.f64 (-.f64 x y) y)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 (/.f64 (-.f64 x y) y)) (+.f64 (/.f64 1/2 x) (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (-.f64 x y)) (/.f64 (/.f64 1 y) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (+.f64 (/.f64 (/.f64 (-.f64 x y) y) x) (/.f64 (/.f64 (-.f64 x y) y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 (*.f64 2 (*.f64 2 (/.f64 (-.f64 x y) y))) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 (/.f64 (*.f64 (-.f64 x y) 4) y) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 y (-.f64 x y)) (*.f64 x 8)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 y (-.f64 x y)) 4) (+.f64 (/.f64 1 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 y (-.f64 x y)) 4) (/.f64 4 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y 8) (/.f64 (*.f64 (-.f64 x y) 8) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y -4) (/.f64 (*.f64 (-.f64 x y) -4) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 8) (*.f64 2 (*.f64 2 (/.f64 (-.f64 x y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 8) (*.f64 (/.f64 (-.f64 x y) y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (-.f64 x y)) (/.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 x (-.f64 x y))) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 y (-.f64 y x)) (/.f64 -1 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 (/.f64 (-.f64 x y) y) (*.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 (/.f64 (-.f64 x y) (+.f64 y y)) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 (/.f64 1/2 y) (*.f64 2 (/.f64 x (-.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/2 (-.f64 x y)) (/.f64 (/.f64 1/2 y) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (-.f64 y x)) (/.f64 (/.f64 -1 y) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y -2) (+.f64 (/.f64 (-.f64 y x) (+.f64 x x)) (/.f64 (-.f64 y x) (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y -2) (/.f64 (*.f64 2 (-.f64 y x)) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y -2) (/.f64 (neg.f64 (*.f64 2 (-.f64 x y))) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 y (-.f64 x y)) (/.f64 y (-.f64 x y))) (/.f64 (/.f64 2 (/.f64 (-.f64 x y) y)) (*.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 x 8)) (+.f64 (*.f64 (/.f64 (-.f64 x y) y) 4) (*.f64 (/.f64 (-.f64 x y) y) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (/.f64 y (-.f64 x y)) (*.f64 x 8))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 x x) (-.f64 y x)) (/.f64 -1 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 y (-.f64 x y)) 1/4) (/.f64 4 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 y y) (-.f64 y x)) (/.f64 -2 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 8) (/.f64 (-.f64 x y) y)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 y (*.f64 2 (-.f64 x y))) (/.f64 1 (*.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 y (-.f64 x y))) (/.f64 -1 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 x x)) (neg.f64 (/.f64 (-.f64 x y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 y (-.f64 y x)) 2) (/.f64 -1 (*.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (/.f64 x (-.f64 x y))) (*.f64 2 (/.f64 x (-.f64 x y)))) (+.f64 (/.f64 1 y) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (/.f64 y (-.f64 x y)) (*.f64 x 8))) (*.f64 2 (*.f64 (/.f64 y (-.f64 x y)) (*.f64 x 8)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (*.f64 x 8) (/.f64 (-.f64 x y) y)) (/.f64 (*.f64 x 8) (/.f64 (-.f64 x y) y))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (+.f64 x x)) (neg.f64 (+.f64 x x))) (+.f64 (neg.f64 (/.f64 (-.f64 x y) y)) (neg.f64 (/.f64 (-.f64 x y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 x x) (/.f64 1 y)) (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 x x) 1/2) (*.f64 2 (/.f64 (-.f64 x y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 4) (-.f64 x y)) (/.f64 2 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x 4)) (-.f64 0 (*.f64 2 (/.f64 (-.f64 x y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (/.f64 x (-.f64 x y)))) (-.f64 0 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (+.f64 x x))) (/.f64 (-.f64 x y) y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 2 (/.f64 (-.f64 x y) y))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 y (-.f64 x y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 y (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 y (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 y (*.f64 2 (-.f64 x y))) (/.f64 y (*.f64 2 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (/.f64 y (-.f64 y x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 y (-.f64 x y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 y (-.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 y (*.f64 2 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 y (*.f64 2 (-.f64 x y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 y 2) (/.f64 1 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 y (-.f64 x y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 y (/.f64 1/2 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 y -2) (/.f64 1 (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1/2 (-.f64 x y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 2 (/.f64 1/2 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 (/.f64 1 (-.f64 y x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 (*.f64 2 (/.f64 1 (-.f64 x y))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 (/.f64 2 (-.f64 x y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 -1 (/.f64 1 (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (-.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 y (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y y) (/.f64 1/2 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y y) (*.f64 (/.f64 1 (-.f64 x y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y y) (*.f64 (*.f64 (/.f64 1 (-.f64 x y)) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y y) (*.f64 (*.f64 2 (/.f64 1/2 (-.f64 x y))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y y) (*.f64 -1/2 (/.f64 1 (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 1 (-.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (*.f64 -1 (/.f64 1 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (*.f64 (*.f64 2 (/.f64 1 (-.f64 y x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 y (-.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (neg.f64 y) (/.f64 1 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (*.f64 2 (/.f64 y (-.f64 y x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 4) (/.f64 1 (*.f64 (-.f64 x y) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 4) (*.f64 (/.f64 1 (*.f64 (-.f64 x y) 4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 4) (*.f64 1/4 (/.f64 1 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 4) (*.f64 1/2 (/.f64 1/2 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (/.f64 (-.f64 x y) y)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 x y)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1 (-.f64 x y))) (/.f64 y 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1 (-.f64 x y))) (*.f64 (/.f64 y 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1 (-.f64 x y))) (*.f64 y 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (-.f64 y x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 2 (/.f64 (-.f64 x y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (/.f64 (+.f64 y y) (-.f64 y x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (*.f64 y -2) (/.f64 1 (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (-.f64 x y)) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 y x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y -2) (/.f64 1/2 (-.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y -2) (*.f64 (/.f64 1/2 (-.f64 y x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y -2) (*.f64 1/2 (/.f64 1 (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (-.f64 x y)) 1/2) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (*.f64 2 (-.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (-.f64 x y) 4)) (*.f64 y 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (-.f64 y x)) (*.f64 y -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 2) (*.f64 2 (/.f64 1 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (-.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (-.f64 y x)))))))

simplify113.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1224×	`rational.json-simplify-2`
1160×	`rational.json-simplify-53`
1042×	`rational.json-simplify-35`
796×	`rational.json-simplify-41`
780×	`rational.json-simplify-50`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	345	5267
1	1101	5087
2	3565	4859
3	5223	4811

Stop Event

1×	node limit

Counts

179 → 213

Calls

Call 1

Inputs
(*.f64 -2 x)
(+.f64 (.f64 -2 (/.f64 (pow.f64 x 2) y)) (.f64 -2 x))
(+.f64 (.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 -2 (/.f64 (pow.f64 x 2) y)) (*.f64 -2 x)))
(+.f64 (.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 (.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 -2 (/.f64 (pow.f64 x 2) y)) (.f64 -2 x))))
(*.f64 2 y)
(+.f64 (.f64 2 y) (.f64 2 (/.f64 (pow.f64 y 2) x)))
(+.f64 (.f64 2 y) (+.f64 (.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 2 (/.f64 (pow.f64 y 2) x))))
(+.f64 (.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (.f64 2 y) (+.f64 (.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (.f64 2 (/.f64 (pow.f64 y 2) x)))))
(*.f64 2 y)
(+.f64 (.f64 2 y) (.f64 2 (/.f64 (pow.f64 y 2) x)))
(+.f64 (.f64 2 y) (+.f64 (.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 2 (/.f64 (pow.f64 y 2) x))))
(+.f64 (.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (.f64 2 y) (+.f64 (.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (.f64 2 (/.f64 (pow.f64 y 2) x)))))
(*.f64 2 y)
(+.f64 (.f64 2 y) (.f64 2 (/.f64 (pow.f64 y 2) x)))
(+.f64 (.f64 2 y) (+.f64 (.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 2 (/.f64 (pow.f64 y 2) x))))
(+.f64 (.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (.f64 2 y) (+.f64 (.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (.f64 2 (/.f64 (pow.f64 y 2) x)))))
(*.f64 -2 x)
(+.f64 (.f64 -2 (/.f64 (pow.f64 x 2) y)) (.f64 -2 x))
(+.f64 (.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 -2 (/.f64 (pow.f64 x 2) y)) (*.f64 -2 x)))
(+.f64 (.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 (.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 -2 (/.f64 (pow.f64 x 2) y)) (.f64 -2 x))))
(*.f64 -2 x)
(+.f64 (.f64 -2 (/.f64 (pow.f64 x 2) y)) (.f64 -2 x))
(+.f64 (.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 -2 (/.f64 (pow.f64 x 2) y)) (*.f64 -2 x)))
(+.f64 (.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 (.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 -2 (/.f64 (pow.f64 x 2) y)) (.f64 -2 x))))
(/.f64 y x)
(+.f64 (/.f64 y x) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 (/.f64 y x) (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 (/.f64 y x) (+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
-1
(-.f64 (*.f64 -1 (/.f64 x y)) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (.f64 -1 (/.f64 x y))) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 -1 (/.f64 x y)))) 1)
-1
(-.f64 (*.f64 -1 (/.f64 x y)) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (.f64 -1 (/.f64 x y))) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 -1 (/.f64 x y)))) 1)
-1
(-.f64 (*.f64 -1 (/.f64 x y)) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (.f64 -1 (/.f64 x y))) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 -1 (/.f64 x y)))) 1)
(/.f64 y x)
(+.f64 (/.f64 y x) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 (/.f64 y x) (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 (/.f64 y x) (+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(/.f64 y x)
(+.f64 (/.f64 y x) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 (/.f64 y x) (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 (/.f64 y x) (+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 (*.f64 x (/.f64 2 (/.f64 (-.f64 x y) y))) 0)
(+.f64 0 (*.f64 x (/.f64 2 (/.f64 (-.f64 x y) y))))
(+.f64 (.f64 x (/.f64 y (-.f64 x y))) (.f64 x (/.f64 y (-.f64 x y))))
(-.f64 (*.f64 x (/.f64 2 (/.f64 (-.f64 x y) y))) 0)
(/.f64 x (/.f64 (-.f64 x y) (+.f64 y y)))
(/.f64 x (/.f64 (*.f64 2 (/.f64 (-.f64 x y) y)) 4))
(/.f64 2 (/.f64 (/.f64 (-.f64 x y) y) x))
(/.f64 2 (+.f64 (/.f64 (/.f64 (/.f64 (-.f64 x y) y) x) 2) (/.f64 (/.f64 (/.f64 (-.f64 x y) y) x) 2)))
(/.f64 2 (/.f64 (/.f64 (.f64 (-.f64 x y) 4) y) (.f64 x 4)))
(/.f64 (+.f64 x x) (/.f64 (-.f64 x y) y))
(/.f64 y (/.f64 (-.f64 x y) (+.f64 x x)))
(/.f64 (/.f64 y (-.f64 x y)) (/.f64 1/2 x))
(/.f64 (*.f64 x (/.f64 2 (/.f64 (-.f64 x y) y))) 1)
(/.f64 1 (/.f64 (/.f64 (/.f64 (-.f64 x y) y) x) 2))
(/.f64 1 (/.f64 (/.f64 1 y) (*.f64 2 (/.f64 x (-.f64 x y)))))
(/.f64 (+.f64 y y) (/.f64 (-.f64 x y) x))
(/.f64 (+.f64 y y) (+.f64 (/.f64 (-.f64 x y) (+.f64 x x)) (/.f64 (-.f64 x y) (+.f64 x x))))
(/.f64 (neg.f64 y) (/.f64 (-.f64 y x) (+.f64 x x)))
(/.f64 (neg.f64 y) (/.f64 (neg.f64 (.f64 2 (-.f64 x y))) (.f64 x 4)))
(/.f64 (neg.f64 y) (/.f64 -1 (*.f64 2 (/.f64 x (-.f64 x y)))))
(/.f64 -1 (/.f64 (/.f64 (-.f64 y x) y) (+.f64 x x)))
(/.f64 -1 (/.f64 (/.f64 2 (/.f64 y (-.f64 y x))) (*.f64 x 4)))
(/.f64 (*.f64 y 4) (+.f64 (/.f64 (-.f64 x y) x) (/.f64 (-.f64 x y) x)))
(/.f64 (.f64 y 4) (/.f64 (.f64 (-.f64 x y) 4) (+.f64 x x)))
(/.f64 (.f64 y 4) (/.f64 4 (.f64 2 (/.f64 x (-.f64 x y)))))
(/.f64 (.f64 x 4) (.f64 2 (/.f64 (-.f64 x y) y)))
(/.f64 (.f64 y (.f64 (/.f64 x (-.f64 x y)) 4)) 2)
(/.f64 (/.f64 2 (/.f64 (-.f64 x y) y)) (/.f64 1 x))
(/.f64 (/.f64 2 (/.f64 (-.f64 x y) y)) (+.f64 (/.f64 1/2 x) (/.f64 1/2 x)))
(/.f64 (/.f64 1 (-.f64 x y)) (/.f64 (/.f64 1 y) (+.f64 x x)))
(/.f64 4 (+.f64 (/.f64 (/.f64 (-.f64 x y) y) x) (/.f64 (/.f64 (-.f64 x y) y) x)))
(/.f64 4 (/.f64 (.f64 2 (.f64 2 (/.f64 (-.f64 x y) y))) (+.f64 x x)))
(/.f64 4 (/.f64 (/.f64 (*.f64 (-.f64 x y) 4) y) (+.f64 x x)))
(/.f64 (.f64 (/.f64 y (-.f64 x y)) (.f64 x 8)) 4)
(/.f64 (*.f64 (/.f64 y (-.f64 x y)) 4) (+.f64 (/.f64 1 x) (/.f64 1 x)))
(/.f64 (*.f64 (/.f64 y (-.f64 x y)) 4) (/.f64 4 (+.f64 x x)))
(/.f64 (.f64 y 8) (/.f64 (.f64 (-.f64 x y) 8) (+.f64 x x)))
(/.f64 (.f64 y -4) (/.f64 (.f64 (-.f64 x y) -4) (+.f64 x x)))
(/.f64 (.f64 x 8) (.f64 2 (*.f64 2 (/.f64 (-.f64 x y) y))))
(/.f64 (.f64 x 8) (.f64 (/.f64 (-.f64 x y) y) 4))
(/.f64 (/.f64 x (-.f64 x y)) (/.f64 1/2 y))
(/.f64 (*.f64 2 (/.f64 x (-.f64 x y))) (/.f64 1 y))
(/.f64 (/.f64 y (-.f64 y x)) (/.f64 -1 (+.f64 x x)))
(/.f64 1/2 (/.f64 (/.f64 (-.f64 x y) y) (*.f64 x 4)))
(/.f64 1/2 (/.f64 (/.f64 (-.f64 x y) (+.f64 y y)) (+.f64 x x)))
(/.f64 1/2 (/.f64 (/.f64 1/2 y) (*.f64 2 (/.f64 x (-.f64 x y)))))
(/.f64 (/.f64 1/2 (-.f64 x y)) (/.f64 (/.f64 1/2 y) (+.f64 x x)))
(/.f64 (/.f64 1 (-.f64 y x)) (/.f64 (/.f64 -1 y) (+.f64 x x)))
(/.f64 (*.f64 y -2) (+.f64 (/.f64 (-.f64 y x) (+.f64 x x)) (/.f64 (-.f64 y x) (+.f64 x x))))
(/.f64 (.f64 y -2) (/.f64 (.f64 2 (-.f64 y x)) (+.f64 x x)))
(/.f64 (.f64 y -2) (/.f64 (neg.f64 (.f64 2 (-.f64 x y))) (+.f64 x x)))
(/.f64 (.f64 (/.f64 y (-.f64 x y)) (/.f64 y (-.f64 x y))) (/.f64 (/.f64 2 (/.f64 (-.f64 x y) y)) (.f64 x 4)))
(/.f64 (.f64 2 (.f64 x 8)) (+.f64 (.f64 (/.f64 (-.f64 x y) y) 4) (.f64 (/.f64 (-.f64 x y) y) 4)))
(/.f64 (.f64 2 (.f64 (/.f64 y (-.f64 x y)) (*.f64 x 8))) 8)
(/.f64 (/.f64 (+.f64 x x) (-.f64 y x)) (/.f64 -1 y))
(/.f64 (/.f64 (/.f64 y (-.f64 x y)) 1/4) (/.f64 4 (+.f64 x x)))
(/.f64 (/.f64 (+.f64 y y) (-.f64 y x)) (/.f64 -2 (+.f64 x x)))
(/.f64 (/.f64 (*.f64 x 8) (/.f64 (-.f64 x y) y)) 4)
(/.f64 (/.f64 y (.f64 2 (-.f64 x y))) (/.f64 1 (.f64 x 4)))
(/.f64 (neg.f64 (/.f64 y (-.f64 x y))) (/.f64 -1 (+.f64 x x)))
(/.f64 (neg.f64 (+.f64 x x)) (neg.f64 (/.f64 (-.f64 x y) y)))
(/.f64 (/.f64 (/.f64 y (-.f64 y x)) 2) (/.f64 -1 (*.f64 x 4)))
(/.f64 (+.f64 (.f64 2 (/.f64 x (-.f64 x y))) (.f64 2 (/.f64 x (-.f64 x y)))) (+.f64 (/.f64 1 y) (/.f64 1 y)))
(/.f64 (+.f64 (.f64 2 (.f64 (/.f64 y (-.f64 x y)) (.f64 x 8))) (.f64 2 (.f64 (/.f64 y (-.f64 x y)) (.f64 x 8)))) 16)
(/.f64 (+.f64 (/.f64 (.f64 x 8) (/.f64 (-.f64 x y) y)) (/.f64 (.f64 x 8) (/.f64 (-.f64 x y) y))) 8)
(/.f64 (+.f64 (neg.f64 (+.f64 x x)) (neg.f64 (+.f64 x x))) (+.f64 (neg.f64 (/.f64 (-.f64 x y) y)) (neg.f64 (/.f64 (-.f64 x y) y))))
(/.f64 (/.f64 (+.f64 x x) (/.f64 1 y)) (-.f64 x y))
(/.f64 (/.f64 (+.f64 x x) 1/2) (*.f64 2 (/.f64 (-.f64 x y) y)))
(/.f64 (/.f64 (*.f64 x 4) (-.f64 x y)) (/.f64 2 y))
(/.f64 (neg.f64 (.f64 x 4)) (-.f64 0 (.f64 2 (/.f64 (-.f64 x y) y))))
(/.f64 (neg.f64 (*.f64 2 (/.f64 x (-.f64 x y)))) (-.f64 0 (/.f64 1 y)))
(/.f64 (neg.f64 (neg.f64 (+.f64 x x))) (/.f64 (-.f64 x y) y))
(pow.f64 (*.f64 x (/.f64 2 (/.f64 (-.f64 x y) y))) 1)
(+.f64 (/.f64 y (-.f64 x y)) 0)
(+.f64 0 (/.f64 y (-.f64 x y)))
(+.f64 -1 (-.f64 1 (/.f64 y (-.f64 y x))))
(+.f64 (/.f64 y (.f64 2 (-.f64 x y))) (/.f64 y (.f64 2 (-.f64 x y))))
(+.f64 (-.f64 1 (/.f64 y (-.f64 y x))) -1)
(-.f64 (/.f64 y (-.f64 x y)) 0)
(-.f64 0 (/.f64 y (-.f64 y x)))
(.f64 2 (/.f64 y (.f64 2 (-.f64 x y))))
(.f64 2 (.f64 (/.f64 y (*.f64 2 (-.f64 x y))) 1))
(.f64 2 (.f64 (/.f64 y 2) (/.f64 1 (-.f64 x y))))
(.f64 2 (.f64 (/.f64 y (-.f64 x y)) 1/2))
(.f64 2 (.f64 y (/.f64 1/2 (-.f64 x y))))
(.f64 2 (.f64 (/.f64 y -2) (/.f64 1 (-.f64 y x))))
(.f64 2 (.f64 (/.f64 1/2 (-.f64 x y)) y))
(*.f64 y (/.f64 1 (-.f64 x y)))
(.f64 y (.f64 2 (/.f64 1/2 (-.f64 x y))))
(.f64 y (.f64 (/.f64 1 (-.f64 y x)) -1))
(.f64 y (.f64 (*.f64 2 (/.f64 1 (-.f64 x y))) 1/2))
(.f64 y (.f64 (/.f64 2 (-.f64 x y)) 1/2))
(.f64 y (.f64 -1 (/.f64 1 (-.f64 y x))))
(*.f64 (/.f64 y (-.f64 x y)) 1)
(*.f64 1 (/.f64 y (-.f64 x y)))
(*.f64 (+.f64 y y) (/.f64 1/2 (-.f64 x y)))
(.f64 (+.f64 y y) (.f64 (/.f64 1 (-.f64 x y)) 1/2))
(.f64 (+.f64 y y) (.f64 (*.f64 (/.f64 1 (-.f64 x y)) 1/2) 1))
(.f64 (+.f64 y y) (.f64 (*.f64 2 (/.f64 1/2 (-.f64 x y))) 1/2))
(.f64 (+.f64 y y) (.f64 -1/2 (/.f64 1 (-.f64 y x))))
(*.f64 (neg.f64 y) (/.f64 1 (-.f64 y x)))
(.f64 (neg.f64 y) (.f64 -1 (/.f64 1 (-.f64 x y))))
(.f64 (neg.f64 y) (.f64 (*.f64 2 (/.f64 1 (-.f64 y x))) 1/2))
(*.f64 -1 (/.f64 y (-.f64 y x)))
(.f64 -1 (.f64 (neg.f64 y) (/.f64 1 (-.f64 x y))))
(.f64 -1 (.f64 (*.f64 2 (/.f64 y (-.f64 y x))) 1/2))
(.f64 (.f64 y 4) (/.f64 1 (*.f64 (-.f64 x y) 4)))
(.f64 (.f64 y 4) (.f64 (/.f64 1 (.f64 (-.f64 x y) 4)) 1))
(.f64 (.f64 y 4) (*.f64 1/4 (/.f64 1 (-.f64 x y))))
(.f64 (.f64 y 4) (*.f64 1/2 (/.f64 1/2 (-.f64 x y))))
(*.f64 (/.f64 2 (/.f64 (-.f64 x y) y)) 1/2)
(*.f64 (/.f64 1 (-.f64 x y)) y)
(.f64 (.f64 2 (/.f64 1 (-.f64 x y))) (/.f64 y 2))
(.f64 (.f64 2 (/.f64 1 (-.f64 x y))) (*.f64 (/.f64 y 2) 1))
(.f64 (.f64 2 (/.f64 1 (-.f64 x y))) (*.f64 y 1/2))
(*.f64 (/.f64 y (-.f64 y x)) -1)
(*.f64 1/2 (/.f64 2 (/.f64 (-.f64 x y) y)))
(.f64 1/2 (.f64 (/.f64 (+.f64 y y) (-.f64 y x)) -1))
(.f64 1/2 (.f64 (*.f64 y -2) (/.f64 1 (-.f64 y x))))
(*.f64 (/.f64 1/2 (-.f64 x y)) (+.f64 y y))
(*.f64 (/.f64 1 (-.f64 y x)) (neg.f64 y))
(.f64 (.f64 y -2) (/.f64 1/2 (-.f64 y x)))
(.f64 (.f64 y -2) (*.f64 (/.f64 1/2 (-.f64 y x)) 1))
(.f64 (.f64 y -2) (*.f64 1/2 (/.f64 1 (-.f64 y x))))
(.f64 (.f64 (/.f64 1 (-.f64 x y)) 1/2) (+.f64 y y))
(.f64 (/.f64 y (.f64 2 (-.f64 x y))) 2)
(.f64 (/.f64 1 (.f64 (-.f64 x y) 4)) (*.f64 y 4))
(.f64 (/.f64 1/2 (-.f64 y x)) (.f64 y -2))
(.f64 (/.f64 y 2) (.f64 2 (/.f64 1 (-.f64 x y))))
(pow.f64 (/.f64 y (-.f64 x y)) 1)
(neg.f64 (/.f64 y (-.f64 y x)))

Outputs
(*.f64 -2 x)
(+.f64 (.f64 -2 (/.f64 (pow.f64 x 2) y)) (.f64 -2 x))
(+.f64 (.f64 -2 x) (.f64 -2 (/.f64 (pow.f64 x 2) y)))
(*.f64 -2 (+.f64 (/.f64 (pow.f64 x 2) y) x))
(*.f64 -2 (+.f64 x (/.f64 (pow.f64 x 2) y)))
(+.f64 (.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 -2 (/.f64 (pow.f64 x 2) y)) (*.f64 -2 x)))
(+.f64 (.f64 -2 (/.f64 (pow.f64 x 2) y)) (+.f64 (.f64 -2 x) (*.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 2)))))
(+.f64 (.f64 -2 (/.f64 (pow.f64 x 2) y)) (.f64 -2 (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 2)) x)))
(*.f64 -2 (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 2)) (+.f64 x (/.f64 (pow.f64 x 2) y))))
(*.f64 -2 (+.f64 x (+.f64 (/.f64 (pow.f64 x 2) y) (/.f64 (pow.f64 x 3) (pow.f64 y 2)))))
(+.f64 (.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 (.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 -2 (/.f64 (pow.f64 x 2) y)) (.f64 -2 x))))
(+.f64 (.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (+.f64 (.f64 -2 x) (.f64 -2 (/.f64 (pow.f64 x 2) y))) (.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 3)))))
(+.f64 (.f64 -2 (/.f64 (pow.f64 x 2) y)) (+.f64 (.f64 -2 (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 2)) x)) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 3)))))
(+.f64 (.f64 -2 (/.f64 (pow.f64 x 2) y)) (.f64 -2 (+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (+.f64 x (/.f64 (pow.f64 x 3) (pow.f64 y 2))))))
(+.f64 (.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (.f64 -2 (+.f64 (/.f64 (pow.f64 x 2) y) (+.f64 x (/.f64 (pow.f64 x 4) (pow.f64 y 3))))))
(*.f64 2 y)
(+.f64 y y)
(+.f64 (.f64 2 y) (.f64 2 (/.f64 (pow.f64 y 2) x)))
(*.f64 2 (+.f64 (/.f64 (pow.f64 y 2) x) y))
(*.f64 2 (+.f64 y (/.f64 (pow.f64 y 2) x)))
(+.f64 (.f64 2 y) (+.f64 (.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 2 (/.f64 (pow.f64 y 2) x))))
(+.f64 (.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 2 y) (*.f64 2 (/.f64 (pow.f64 y 2) x))))
(+.f64 (.f64 2 y) (.f64 2 (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 2)) (/.f64 (pow.f64 y 2) x))))
(*.f64 2 (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 2)) (+.f64 y (/.f64 (pow.f64 y 2) x))))
(*.f64 2 (+.f64 (/.f64 (pow.f64 y 2) x) (+.f64 y (/.f64 (pow.f64 y 3) (pow.f64 x 2)))))
(+.f64 (.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (.f64 2 y) (+.f64 (.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (.f64 2 (/.f64 (pow.f64 y 2) x)))))
(+.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 2 y) (.f64 2 (/.f64 (pow.f64 y 2) x)))) (.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 3))))
(+.f64 (.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 2 (+.f64 (/.f64 (pow.f64 y 2) x) y)) (*.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(+.f64 (.f64 2 (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 2)) (+.f64 y (/.f64 (pow.f64 y 2) x)))) (.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 3))))
(+.f64 y (+.f64 y (*.f64 2 (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 2)) (+.f64 (/.f64 (pow.f64 y 2) x) (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))))
(*.f64 2 y)
(+.f64 y y)
(+.f64 (.f64 2 y) (.f64 2 (/.f64 (pow.f64 y 2) x)))
(*.f64 2 (+.f64 (/.f64 (pow.f64 y 2) x) y))
(*.f64 2 (+.f64 y (/.f64 (pow.f64 y 2) x)))
(+.f64 (.f64 2 y) (+.f64 (.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 2 (/.f64 (pow.f64 y 2) x))))
(+.f64 (.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 2 y) (*.f64 2 (/.f64 (pow.f64 y 2) x))))
(+.f64 (.f64 2 y) (.f64 2 (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 2)) (/.f64 (pow.f64 y 2) x))))
(*.f64 2 (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 2)) (+.f64 y (/.f64 (pow.f64 y 2) x))))
(*.f64 2 (+.f64 (/.f64 (pow.f64 y 2) x) (+.f64 y (/.f64 (pow.f64 y 3) (pow.f64 x 2)))))
(+.f64 (.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (.f64 2 y) (+.f64 (.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (.f64 2 (/.f64 (pow.f64 y 2) x)))))
(+.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 2 y) (.f64 2 (/.f64 (pow.f64 y 2) x)))) (.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 3))))
(+.f64 (.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 2 (+.f64 (/.f64 (pow.f64 y 2) x) y)) (*.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(+.f64 (.f64 2 (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 2)) (+.f64 y (/.f64 (pow.f64 y 2) x)))) (.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 3))))
(+.f64 y (+.f64 y (*.f64 2 (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 2)) (+.f64 (/.f64 (pow.f64 y 2) x) (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))))
(*.f64 2 y)
(+.f64 y y)
(+.f64 (.f64 2 y) (.f64 2 (/.f64 (pow.f64 y 2) x)))
(*.f64 2 (+.f64 (/.f64 (pow.f64 y 2) x) y))
(*.f64 2 (+.f64 y (/.f64 (pow.f64 y 2) x)))
(+.f64 (.f64 2 y) (+.f64 (.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 2 (/.f64 (pow.f64 y 2) x))))
(+.f64 (.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 2 y) (*.f64 2 (/.f64 (pow.f64 y 2) x))))
(+.f64 (.f64 2 y) (.f64 2 (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 2)) (/.f64 (pow.f64 y 2) x))))
(*.f64 2 (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 2)) (+.f64 y (/.f64 (pow.f64 y 2) x))))
(*.f64 2 (+.f64 (/.f64 (pow.f64 y 2) x) (+.f64 y (/.f64 (pow.f64 y 3) (pow.f64 x 2)))))
(+.f64 (.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (.f64 2 y) (+.f64 (.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (.f64 2 (/.f64 (pow.f64 y 2) x)))))
(+.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 2 y) (.f64 2 (/.f64 (pow.f64 y 2) x)))) (.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 3))))
(+.f64 (.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 2 (+.f64 (/.f64 (pow.f64 y 2) x) y)) (*.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(+.f64 (.f64 2 (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 2)) (+.f64 y (/.f64 (pow.f64 y 2) x)))) (.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 3))))
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(*.f64 -2 x)
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(*.f64 (/.f64 1 (-.f64 x y)) y)
(/.f64 y (-.f64 x y))
(.f64 (.f64 2 (/.f64 1 (-.f64 x y))) (/.f64 y 2))
(+.f64 (/.f64 y (.f64 2 (-.f64 x y))) (/.f64 y (.f64 2 (-.f64 x y))))
(.f64 2 (/.f64 y (.f64 2 (-.f64 x y))))
(*.f64 2 (/.f64 (/.f64 y 2) (-.f64 x y)))
(.f64 (.f64 2 (/.f64 1 (-.f64 x y))) (*.f64 (/.f64 y 2) 1))
(+.f64 (/.f64 y (.f64 2 (-.f64 x y))) (/.f64 y (.f64 2 (-.f64 x y))))
(.f64 2 (/.f64 y (.f64 2 (-.f64 x y))))
(*.f64 2 (/.f64 (/.f64 y 2) (-.f64 x y)))
(.f64 (.f64 2 (/.f64 1 (-.f64 x y))) (*.f64 y 1/2))
(/.f64 y (-.f64 x y))
(*.f64 (/.f64 y (-.f64 y x)) -1)
(/.f64 y (-.f64 x y))
(*.f64 1/2 (/.f64 2 (/.f64 (-.f64 x y) y)))
(*.f64 (/.f64 2 (/.f64 (-.f64 x y) y)) 1/2)
(*.f64 (/.f64 -2 (/.f64 (-.f64 y x) y)) 1/2)
(.f64 1/2 (.f64 (/.f64 (+.f64 y y) (-.f64 y x)) -1))
(*.f64 (/.f64 (+.f64 y y) (-.f64 y x)) -1/2)
(.f64 1/2 (.f64 (*.f64 y -2) (/.f64 1 (-.f64 y x))))
(/.f64 y (-.f64 x y))
(*.f64 (/.f64 1/2 (-.f64 x y)) (+.f64 y y))
(.f64 2 (.f64 y (/.f64 1/2 (-.f64 x y))))
(.f64 (.f64 2 y) (/.f64 1/2 (-.f64 x y)))
(*.f64 (+.f64 y y) (/.f64 1/2 (-.f64 x y)))
(*.f64 (/.f64 1 (-.f64 y x)) (neg.f64 y))
(/.f64 y (-.f64 x y))
(.f64 (.f64 y -2) (/.f64 1/2 (-.f64 y x)))
(.f64 y (.f64 -2 (/.f64 1/2 (-.f64 y x))))
(.f64 -2 (.f64 (/.f64 1/2 (-.f64 y x)) y))
(.f64 -2 (.f64 y (/.f64 1/2 (-.f64 y x))))
(.f64 (.f64 y -2) (*.f64 (/.f64 1/2 (-.f64 y x)) 1))
(.f64 y (.f64 -2 (/.f64 1/2 (-.f64 y x))))
(.f64 -2 (.f64 (/.f64 1/2 (-.f64 y x)) y))
(.f64 -2 (.f64 y (/.f64 1/2 (-.f64 y x))))
(.f64 (.f64 y -2) (*.f64 1/2 (/.f64 1 (-.f64 y x))))
(/.f64 y (-.f64 x y))
(.f64 (.f64 (/.f64 1 (-.f64 x y)) 1/2) (+.f64 y y))
(/.f64 y (-.f64 x y))
(.f64 (/.f64 y (.f64 2 (-.f64 x y))) 2)
(+.f64 (/.f64 y (.f64 2 (-.f64 x y))) (/.f64 y (.f64 2 (-.f64 x y))))
(.f64 2 (/.f64 y (.f64 2 (-.f64 x y))))
(*.f64 2 (/.f64 (/.f64 y 2) (-.f64 x y)))
(.f64 (/.f64 1 (.f64 (-.f64 x y) 4)) (*.f64 y 4))
(.f64 y (.f64 4 (/.f64 1 (*.f64 4 (-.f64 x y)))))
(.f64 y (.f64 4 (/.f64 1/4 (-.f64 x y))))
(.f64 (/.f64 1/2 (-.f64 y x)) (.f64 y -2))
(.f64 y (.f64 -2 (/.f64 1/2 (-.f64 y x))))
(.f64 -2 (.f64 (/.f64 1/2 (-.f64 y x)) y))
(.f64 -2 (.f64 y (/.f64 1/2 (-.f64 y x))))
(.f64 (/.f64 y 2) (.f64 2 (/.f64 1 (-.f64 x y))))
(+.f64 (/.f64 y (.f64 2 (-.f64 x y))) (/.f64 y (.f64 2 (-.f64 x y))))
(.f64 2 (/.f64 y (.f64 2 (-.f64 x y))))
(*.f64 2 (/.f64 (/.f64 y 2) (-.f64 x y)))
(pow.f64 (/.f64 y (-.f64 x y)) 1)
(/.f64 y (-.f64 x y))
(neg.f64 (/.f64 y (-.f64 y x)))
(/.f64 y (-.f64 x y))

eval501.0ms (10.3%)

Compiler: Compiled 6260 to 3547 computations (43.3% saved)

prune155.0ms (3.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	413	3	416
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	413	5	418

Error

Counts

418 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	32.1b	(+.f64 y y)
✓	6.9b	(.f64 (.f64 x 2) (/.f64 y (-.f64 x y)))
✓	6.9b	(.f64 (.f64 2 y) (/.f64 x (-.f64 x y)))
▶	38.1b	(.f64 (.f64 2 y) (neg.f64 (/.f64 x y)))
▶	31.0b	(*.f64 x -2)

Compiler

Compiled 42 to 28 computations (33.3% saved)

localize3.0ms (0.1%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	13.9b	(.f64 (.f64 2 y) (neg.f64 (/.f64 x y)))

Compiler

Compiled 23 to 10 computations (56.5% saved)

series33.0ms (0.7%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
32.0ms	y	@	0	(.f64 (.f64 2 y) (neg.f64 (/.f64 x y)))
0.0ms	x	@	0	(.f64 (.f64 2 y) (neg.f64 (/.f64 x y)))
0.0ms	x	@	inf	(.f64 (.f64 2 y) (neg.f64 (/.f64 x y)))
0.0ms	x	@	-inf	(.f64 (.f64 2 y) (neg.f64 (/.f64 x y)))
0.0ms	y	@	inf	(.f64 (.f64 2 y) (neg.f64 (/.f64 x y)))

rewrite161.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1792×	`rational.json-1`
1238×	`rational.json-2`
1238×	`rational.json-4`
1238×	`rational.json-3`
1230×	`exponential.json-3`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	71	23
2	181	19
3	510	19
4	1829	19
5	4892	7
6	7928	7

Stop Event

1×	node limit

Counts

1 → 144

Calls

Call 1

Inputs
(.f64 (.f64 2 y) (neg.f64 (/.f64 x y)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (neg.f64 x) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (*.f64 -2 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x -2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (+.f64 x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (neg.f64 x) (-.f64 1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 -2 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x -2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 1 (+.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 (/.f64 1/2 y) (/.f64 y (/.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 2 (/.f64 (/.f64 -1/2 y) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 y (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 (/.f64 y (neg.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 (/.f64 y (/.f64 x -2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (-.f64 0 (/.f64 y (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 (*.f64 2 (/.f64 y (/.f64 x -2))) 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 (/.f64 y x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 y y) (/.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 y y) (/.f64 (*.f64 2 (*.f64 2 (/.f64 y (/.f64 x -2)))) 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (*.f64 y (/.f64 -1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (-.f64 0 (*.f64 y (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x y) (/.f64 -1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 x) y) (/.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 x) y) (-.f64 0 (/.f64 -1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 x) y) (/.f64 (/.f64 -1/2 y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 x) y) (/.f64 (/.f64 -1 y) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 -1/2 y) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (-.f64 0 (*.f64 (/.f64 y x) (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (/.f64 y x) (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (-.f64 0 (/.f64 (/.f64 -1/2 y) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x x) (/.f64 y (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x x) (-.f64 0 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-2 (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -2) (/.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -2) (-.f64 0 (/.f64 y (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y -2) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (*.f64 y (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (-.f64 0 (*.f64 y (/.f64 -1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 y) (/.f64 y (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 y) (/.f64 (/.f64 y x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 y) (/.f64 (*.f64 2 (/.f64 y x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 y) (-.f64 0 (/.f64 y (*.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 y) (/.f64 (/.f64 y (neg.f64 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (*.f64 2 (*.f64 (/.f64 1/2 y) (/.f64 y (/.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y -4) (*.f64 2 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y -4) (neg.f64 (/.f64 y (/.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x y) 4) (*.f64 -4 (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x y) 4) (*.f64 2 (*.f64 -2 (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x y) -4) (*.f64 2 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x y) -4) (*.f64 4 (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -4) (*.f64 2 (/.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -4) (-.f64 0 (/.f64 (*.f64 y -2) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 x 4)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 x 4)) (/.f64 (*.f64 y -4) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 (neg.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (/.f64 x y) 4)) (*.f64 2 (*.f64 -4 (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 x 4))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (/.f64 x y) -4)) (*.f64 2 (*.f64 4 (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) 8) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) 8) (/.f64 (*.f64 y 4) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (neg.f64 x) 8)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 -2 (neg.f64 x))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 y y) (neg.f64 x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 y -2)) y)))) (#(struct:change #<rule egg-rr> (2) 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y (/.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 x (/.f64 1/2 y))) (*.f64 y -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 2 (/.f64 1 y))) (/.f64 y (/.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 -1 (/.f64 1/2 y))) (*.f64 2 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 (+.f64 x x) (/.f64 1/2 y))) (*.f64 y -4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 -2 (neg.f64 x)))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 (*.f64 x 4) (/.f64 1/2 y))) (neg.f64 (*.f64 y 8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 (+.f64 x x) (/.f64 -1/2 y))) (*.f64 y 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 x (/.f64 -1/2 y))) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 (*.f64 (/.f64 x y) 4) (/.f64 1/2 y))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 (*.f64 (/.f64 x y) -4) (/.f64 1/2 y))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 (*.f64 x -4) (/.f64 1/2 y))) (*.f64 y 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 2 (/.f64 1/2 y))) (neg.f64 (/.f64 y (/.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 x (/.f64 1/2 y))) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 2 (/.f64 1 y))) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 -1 (/.f64 1/2 y))) (/.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (+.f64 x x) (/.f64 1/2 y))) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (+.f64 x x) (/.f64 1/2 y))) (neg.f64 (/.f64 -1 (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (*.f64 x 4) (/.f64 1/2 y))) (*.f64 y 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (+.f64 x x) (/.f64 -1/2 y))) (*.f64 y -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (*.f64 x -4) (/.f64 1/2 y))) (*.f64 y -4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 x (/.f64 -1/2 y))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (/.f64 x y) -4)) (-.f64 0 (*.f64 2 (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (/.f64 x y) -4)) (-.f64 0 (*.f64 4 (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (/.f64 2 (/.f64 1/2 y)))) (-.f64 0 (*.f64 2 (/.f64 y (/.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (/.f64 x (/.f64 1/2 y)))) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (/.f64 2 (/.f64 1 y)))) (neg.f64 (/.f64 y (/.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (/.f64 -1 (/.f64 1/2 y)))) (/.f64 y (/.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (/.f64 (+.f64 x x) (/.f64 1/2 y)))) (*.f64 y 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (/.f64 (*.f64 x 4) (/.f64 1/2 y)))) (-.f64 0 (neg.f64 (*.f64 y 8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (/.f64 (+.f64 x x) (/.f64 -1/2 y)))) (*.f64 y -4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (/.f64 x (/.f64 -1/2 y)))) (*.f64 y -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (/.f64 (*.f64 x -4) (/.f64 1/2 y)))) (neg.f64 (*.f64 y 8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (/.f64 2 (/.f64 1/2 y)))) (/.f64 y (/.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (/.f64 x (/.f64 1/2 y)))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (/.f64 2 (/.f64 1 y)))) (/.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (/.f64 -1 (/.f64 1/2 y)))) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (/.f64 (+.f64 x x) (/.f64 1/2 y)))) (*.f64 y -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 x 4) (/.f64 1/2 y)))) (*.f64 y -4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (/.f64 (+.f64 x x) (/.f64 -1/2 y)))) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 x -4) (/.f64 1/2 y)))) (*.f64 y 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (/.f64 x (/.f64 -1/2 y)))) y)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 -2 (neg.f64 x)))))))

simplify163.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

1270×	`rational.json-simplify-35`
1200×	`rational.json-simplify-2`
782×	`rational.json-simplify-61`
684×	`rational.json-simplify-51`
664×	`rational.json-simplify-50`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	321	1328
1	1253	1276
2	4459	1268
3	7090	1268

Stop Event

1×	node limit

Counts

168 → 157

Calls

Call 1

Inputs
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(+.f64 0 (*.f64 x -2))
(+.f64 -1 (-.f64 1 (+.f64 x x)))
(+.f64 -1 (+.f64 (neg.f64 x) (-.f64 1 x)))
(+.f64 -1 (-.f64 1 (*.f64 -2 (neg.f64 x))))
(+.f64 (*.f64 x -2) 0)
(+.f64 (neg.f64 x) (neg.f64 x))
(+.f64 (-.f64 1 (+.f64 x x)) -1)
(+.f64 (+.f64 (neg.f64 x) (-.f64 1 x)) -1)
(-.f64 0 (+.f64 x x))
(-.f64 0 (*.f64 -2 (neg.f64 x)))
(-.f64 (*.f64 x -2) 0)
(-.f64 (-.f64 1 (+.f64 x x)) 1)
(/.f64 2 (*.f64 (/.f64 1/2 y) (/.f64 y (/.f64 x -2))))
(/.f64 2 (*.f64 2 (/.f64 (/.f64 -1/2 y) (/.f64 x y))))
(/.f64 y (/.f64 y (*.f64 x -2)))
(/.f64 y (/.f64 (/.f64 y (neg.f64 x)) 2))
(/.f64 y (/.f64 (/.f64 y (/.f64 x -2)) 4))
(/.f64 y (-.f64 0 (/.f64 y (+.f64 x x))))
(/.f64 y (/.f64 (*.f64 2 (/.f64 y (/.f64 x -2))) 8))
(/.f64 y (/.f64 (/.f64 y x) -2))
(/.f64 (+.f64 y y) (/.f64 y (neg.f64 x)))
(/.f64 (+.f64 y y) (/.f64 (.f64 2 (.f64 2 (/.f64 y (/.f64 x -2)))) 8))
(/.f64 x (*.f64 y (/.f64 -1/2 y)))
(/.f64 x (-.f64 0 (*.f64 y (/.f64 1/2 y))))
(/.f64 (/.f64 x y) (/.f64 -1/2 y))
(/.f64 (/.f64 (neg.f64 x) y) (/.f64 1/2 y))
(/.f64 (/.f64 (neg.f64 x) y) (-.f64 0 (/.f64 -1/2 y)))
(/.f64 (/.f64 (neg.f64 x) y) (/.f64 (/.f64 -1/2 y) -1))
(/.f64 (/.f64 (neg.f64 x) y) (/.f64 (/.f64 -1 y) -2))
(/.f64 1 (/.f64 (/.f64 -1/2 y) (/.f64 x y)))
(/.f64 1 (-.f64 0 (*.f64 (/.f64 y x) (/.f64 1/2 y))))
(/.f64 -1 (*.f64 (/.f64 y x) (/.f64 1/2 y)))
(/.f64 -1 (-.f64 0 (/.f64 (/.f64 -1/2 y) (/.f64 x y))))
(/.f64 (+.f64 x x) -1)
(/.f64 (+.f64 x x) (/.f64 y (neg.f64 y)))
(/.f64 (+.f64 x x) (-.f64 0 (/.f64 y y)))
(/.f64 (*.f64 2 (/.f64 x y)) (/.f64 -1 y))
(/.f64 (.f64 2 (/.f64 x y)) (.f64 -2 (/.f64 1/2 y)))
(/.f64 (.f64 2 (/.f64 x y)) (.f64 2 (/.f64 -1/2 y)))
(/.f64 (*.f64 x 4) -2)
(/.f64 (.f64 x 4) (/.f64 (.f64 y -2) y))
(/.f64 (.f64 x 4) (-.f64 0 (.f64 2 (/.f64 y y))))
(/.f64 (*.f64 y 4) (/.f64 y (/.f64 x -2)))
(/.f64 -2 (.f64 2 (.f64 (/.f64 y x) (/.f64 1/2 y))))
(/.f64 -2 (-.f64 0 (*.f64 (/.f64 1/2 y) (/.f64 y (/.f64 x -2)))))
(/.f64 (*.f64 x (/.f64 -2 y)) (/.f64 1 y))
(/.f64 (.f64 x (/.f64 -2 y)) (-.f64 0 (.f64 -2 (/.f64 1/2 y))))
(/.f64 (*.f64 x -2) 1)
(/.f64 (*.f64 x -2) (/.f64 y y))
(/.f64 (*.f64 x -2) (-.f64 0 (/.f64 y (neg.f64 y))))
(/.f64 (*.f64 y -2) (/.f64 y x))
(/.f64 (neg.f64 x) (*.f64 y (/.f64 1/2 y)))
(/.f64 (neg.f64 x) (-.f64 0 (*.f64 y (/.f64 -1/2 y))))
(/.f64 (neg.f64 y) (/.f64 y (+.f64 x x)))
(/.f64 (neg.f64 y) (/.f64 (/.f64 y x) 2))
(/.f64 (neg.f64 y) (/.f64 (*.f64 2 (/.f64 y x)) 4))
(/.f64 (neg.f64 y) (-.f64 0 (/.f64 y (*.f64 x -2))))
(/.f64 (neg.f64 y) (/.f64 (/.f64 y (neg.f64 x)) -2))
(/.f64 4 (.f64 2 (.f64 (/.f64 1/2 y) (/.f64 y (/.f64 x -2)))))
(/.f64 (.f64 y -4) (.f64 2 (/.f64 y x)))
(/.f64 (*.f64 y -4) (neg.f64 (/.f64 y (/.f64 x -2))))
(/.f64 (.f64 (/.f64 x y) 4) (.f64 -4 (/.f64 1/2 y)))
(/.f64 (.f64 (/.f64 x y) 4) (.f64 2 (*.f64 -2 (/.f64 1/2 y))))
(/.f64 (.f64 (/.f64 x y) -4) (.f64 2 (/.f64 1 y)))
(/.f64 (.f64 (/.f64 x y) -4) (.f64 4 (/.f64 1/2 y)))
(/.f64 (*.f64 x -4) 2)
(/.f64 (.f64 x -4) (.f64 2 (/.f64 y y)))
(/.f64 (.f64 x -4) (-.f64 0 (/.f64 (.f64 y -2) y)))
(/.f64 (.f64 2 (.f64 x 4)) -4)
(/.f64 (.f64 2 (.f64 x 4)) (/.f64 (*.f64 y -4) y))
(/.f64 (*.f64 -2 (neg.f64 x)) -1)
(/.f64 (.f64 2 (.f64 (/.f64 x y) 4)) (.f64 2 (.f64 -4 (/.f64 1/2 y))))
(/.f64 (.f64 2 (.f64 2 (*.f64 x 4))) -8)
(/.f64 (.f64 2 (.f64 (/.f64 x y) -4)) (.f64 2 (.f64 4 (/.f64 1/2 y))))
(/.f64 (*.f64 (neg.f64 x) 8) 4)
(/.f64 (.f64 (neg.f64 x) 8) (/.f64 (.f64 y 4) y))
(/.f64 (.f64 2 (.f64 (neg.f64 x) 8)) 8)
(/.f64 (.f64 2 (.f64 -2 (neg.f64 x))) -2)
(/.f64 (*.f64 (+.f64 y y) (neg.f64 x)) y)
(/.f64 (.f64 x (.f64 y -2)) y)
(/.f64 (neg.f64 (.f64 (/.f64 x y) 4)) (-.f64 0 (.f64 -4 (/.f64 1/2 y))))
(/.f64 (/.f64 x (/.f64 -1/2 y)) y)
(/.f64 (/.f64 2 (/.f64 1/2 y)) (/.f64 y (/.f64 x -2)))
(/.f64 (/.f64 x (/.f64 1/2 y)) (neg.f64 y))
(/.f64 (/.f64 x (/.f64 1/2 y)) (/.f64 1 (/.f64 -1 y)))
(/.f64 (/.f64 2 (/.f64 1 y)) (/.f64 y (neg.f64 x)))
(/.f64 (/.f64 2 (/.f64 1 y)) (/.f64 (neg.f64 (/.f64 1 x)) (/.f64 1 y)))
(/.f64 (/.f64 2 (/.f64 1 y)) (/.f64 (/.f64 1 x) (/.f64 -1 y)))
(/.f64 (/.f64 -1 (/.f64 1/2 y)) (/.f64 y x))
(/.f64 (/.f64 (+.f64 x x) (/.f64 1/2 y)) (*.f64 y -2))
(/.f64 (/.f64 (+.f64 x x) (/.f64 1/2 y)) (/.f64 -1 (/.f64 1/2 y)))
(/.f64 (/.f64 (+.f64 x x) (/.f64 1/2 y)) (/.f64 -4 (*.f64 2 (/.f64 1 y))))
(/.f64 (/.f64 (.f64 x 4) (/.f64 1/2 y)) (.f64 y -4))
(/.f64 (/.f64 (+.f64 x x) (/.f64 -1/2 y)) (+.f64 y y))
(/.f64 (/.f64 (*.f64 (/.f64 x y) 4) (/.f64 1/2 y)) -4)
(/.f64 (/.f64 (*.f64 (/.f64 x y) -4) (/.f64 1/2 y)) 4)
(/.f64 (/.f64 (.f64 x -4) (/.f64 1/2 y)) (.f64 y 4))
(/.f64 (.f64 2 (/.f64 (/.f64 y (neg.f64 x)) y)) (.f64 (/.f64 (/.f64 y (neg.f64 x)) y) (/.f64 (/.f64 y (neg.f64 x)) y)))
(/.f64 (.f64 2 (.f64 2 (*.f64 (neg.f64 x) 8))) 16)
(/.f64 (.f64 2 (/.f64 2 (/.f64 1/2 y))) (.f64 2 (/.f64 y (/.f64 x -2))))
(/.f64 (.f64 2 (/.f64 x (/.f64 1/2 y))) (.f64 y -2))
(/.f64 (*.f64 2 (/.f64 2 (/.f64 1 y))) (/.f64 y (/.f64 x -2)))
(/.f64 (.f64 2 (/.f64 -1 (/.f64 1/2 y))) (.f64 2 (/.f64 y x)))
(/.f64 (.f64 2 (/.f64 (+.f64 x x) (/.f64 1/2 y))) (.f64 y -4))
(/.f64 (.f64 2 (.f64 2 (*.f64 -2 (neg.f64 x)))) -4)
(/.f64 (.f64 2 (/.f64 (.f64 x 4) (/.f64 1/2 y))) (neg.f64 (*.f64 y 8)))
(/.f64 (.f64 2 (/.f64 (+.f64 x x) (/.f64 -1/2 y))) (.f64 y 4))
(/.f64 (*.f64 2 (/.f64 x (/.f64 -1/2 y))) (+.f64 y y))
(/.f64 (.f64 2 (/.f64 (.f64 (/.f64 x y) 4) (/.f64 1/2 y))) -8)
(/.f64 (.f64 2 (/.f64 (.f64 (/.f64 x y) -4) (/.f64 1/2 y))) 8)
(/.f64 (.f64 2 (/.f64 (.f64 x -4) (/.f64 1/2 y))) (*.f64 y 8))
(/.f64 (neg.f64 (/.f64 2 (/.f64 1/2 y))) (neg.f64 (/.f64 y (/.f64 x -2))))
(/.f64 (neg.f64 (/.f64 x (/.f64 1/2 y))) y)
(/.f64 (neg.f64 (/.f64 2 (/.f64 1 y))) (/.f64 y x))
(/.f64 (neg.f64 (/.f64 -1 (/.f64 1/2 y))) (/.f64 y (neg.f64 x)))
(/.f64 (neg.f64 (/.f64 (+.f64 x x) (/.f64 1/2 y))) (+.f64 y y))
(/.f64 (neg.f64 (/.f64 (+.f64 x x) (/.f64 1/2 y))) (neg.f64 (/.f64 -1 (/.f64 1/2 y))))
(/.f64 (neg.f64 (/.f64 (.f64 x 4) (/.f64 1/2 y))) (.f64 y 4))
(/.f64 (neg.f64 (/.f64 (+.f64 x x) (/.f64 -1/2 y))) (*.f64 y -2))
(/.f64 (neg.f64 (/.f64 (.f64 x -4) (/.f64 1/2 y))) (.f64 y -4))
(/.f64 (neg.f64 (/.f64 x (/.f64 -1/2 y))) (neg.f64 y))
(/.f64 (neg.f64 (.f64 (/.f64 x y) -4)) (-.f64 0 (.f64 2 (/.f64 1 y))))
(/.f64 (neg.f64 (.f64 (/.f64 x y) -4)) (-.f64 0 (.f64 4 (/.f64 1/2 y))))
(/.f64 (neg.f64 (.f64 2 (/.f64 2 (/.f64 1/2 y)))) (-.f64 0 (.f64 2 (/.f64 y (/.f64 x -2)))))
(/.f64 (neg.f64 (*.f64 2 (/.f64 x (/.f64 1/2 y)))) (+.f64 y y))
(/.f64 (neg.f64 (*.f64 2 (/.f64 2 (/.f64 1 y)))) (neg.f64 (/.f64 y (/.f64 x -2))))
(/.f64 (neg.f64 (*.f64 2 (/.f64 -1 (/.f64 1/2 y)))) (/.f64 y (/.f64 x -2)))
(/.f64 (neg.f64 (.f64 2 (/.f64 (+.f64 x x) (/.f64 1/2 y)))) (.f64 y 4))
(/.f64 (neg.f64 (.f64 2 (/.f64 (.f64 x 4) (/.f64 1/2 y)))) (-.f64 0 (neg.f64 (*.f64 y 8))))
(/.f64 (neg.f64 (.f64 2 (/.f64 (+.f64 x x) (/.f64 -1/2 y)))) (.f64 y -4))
(/.f64 (neg.f64 (.f64 2 (/.f64 x (/.f64 -1/2 y)))) (.f64 y -2))
(/.f64 (neg.f64 (.f64 2 (/.f64 (.f64 x -4) (/.f64 1/2 y)))) (neg.f64 (*.f64 y 8)))
(/.f64 (neg.f64 (neg.f64 (/.f64 2 (/.f64 1/2 y)))) (/.f64 y (/.f64 x -2)))
(/.f64 (neg.f64 (neg.f64 (/.f64 x (/.f64 1/2 y)))) (neg.f64 y))
(/.f64 (neg.f64 (neg.f64 (/.f64 2 (/.f64 1 y)))) (/.f64 y (neg.f64 x)))
(/.f64 (neg.f64 (neg.f64 (/.f64 -1 (/.f64 1/2 y)))) (/.f64 y x))
(/.f64 (neg.f64 (neg.f64 (/.f64 (+.f64 x x) (/.f64 1/2 y)))) (*.f64 y -2))
(/.f64 (neg.f64 (neg.f64 (/.f64 (.f64 x 4) (/.f64 1/2 y)))) (.f64 y -4))
(/.f64 (neg.f64 (neg.f64 (/.f64 (+.f64 x x) (/.f64 -1/2 y)))) (+.f64 y y))
(/.f64 (neg.f64 (neg.f64 (/.f64 (.f64 x -4) (/.f64 1/2 y)))) (.f64 y 4))
(/.f64 (neg.f64 (neg.f64 (/.f64 x (/.f64 -1/2 y)))) y)
(pow.f64 (*.f64 x -2) 1)
(neg.f64 (+.f64 x x))
(neg.f64 (*.f64 -2 (neg.f64 x)))

Outputs
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(+.f64 0 (*.f64 x -2))
(*.f64 -2 x)
(+.f64 -1 (-.f64 1 (+.f64 x x)))
(*.f64 -2 x)
(+.f64 -1 (+.f64 (neg.f64 x) (-.f64 1 x)))
(*.f64 -2 x)
(+.f64 -1 (-.f64 1 (*.f64 -2 (neg.f64 x))))
(*.f64 -2 x)
(+.f64 (*.f64 x -2) 0)
(*.f64 -2 x)
(+.f64 (neg.f64 x) (neg.f64 x))
(*.f64 -2 x)
(+.f64 (-.f64 1 (+.f64 x x)) -1)
(*.f64 -2 x)
(+.f64 (+.f64 (neg.f64 x) (-.f64 1 x)) -1)
(*.f64 -2 x)
(-.f64 0 (+.f64 x x))
(*.f64 -2 x)
(-.f64 0 (*.f64 -2 (neg.f64 x)))
(*.f64 -2 x)
(-.f64 (*.f64 x -2) 0)
(*.f64 -2 x)
(-.f64 (-.f64 1 (+.f64 x x)) 1)
(*.f64 -2 x)
(/.f64 2 (*.f64 (/.f64 1/2 y) (/.f64 y (/.f64 x -2))))
(*.f64 -2 x)
(/.f64 2 (*.f64 2 (/.f64 (/.f64 -1/2 y) (/.f64 x y))))
(*.f64 -2 x)
(/.f64 y (/.f64 y (*.f64 x -2)))
(*.f64 -2 x)
(/.f64 y (/.f64 (/.f64 y (neg.f64 x)) 2))
(*.f64 -2 x)
(/.f64 y (/.f64 (/.f64 y (/.f64 x -2)) 4))
(*.f64 -2 x)
(/.f64 y (-.f64 0 (/.f64 y (+.f64 x x))))
(*.f64 -2 x)
(/.f64 y (/.f64 (*.f64 2 (/.f64 y (/.f64 x -2))) 8))
(*.f64 -2 x)
(/.f64 y (/.f64 (/.f64 y x) -2))
(*.f64 -2 x)
(/.f64 (+.f64 y y) (/.f64 y (neg.f64 x)))
(*.f64 -2 x)
(/.f64 (+.f64 y y) (/.f64 (.f64 2 (.f64 2 (/.f64 y (/.f64 x -2)))) 8))
(*.f64 -2 x)
(/.f64 x (*.f64 y (/.f64 -1/2 y)))
(*.f64 -2 x)
(/.f64 x (-.f64 0 (*.f64 y (/.f64 1/2 y))))
(*.f64 -2 x)
(/.f64 (/.f64 x y) (/.f64 -1/2 y))
(*.f64 -2 x)
(/.f64 (/.f64 (neg.f64 x) y) (/.f64 1/2 y))
(*.f64 -2 x)
(/.f64 (/.f64 (neg.f64 x) y) (-.f64 0 (/.f64 -1/2 y)))
(*.f64 -2 x)
(/.f64 (/.f64 (neg.f64 x) y) (/.f64 (/.f64 -1/2 y) -1))
(*.f64 -2 x)
(/.f64 (/.f64 (neg.f64 x) y) (/.f64 (/.f64 -1 y) -2))
(*.f64 -2 x)
(/.f64 1 (/.f64 (/.f64 -1/2 y) (/.f64 x y)))
(*.f64 -2 x)
(/.f64 1 (-.f64 0 (*.f64 (/.f64 y x) (/.f64 1/2 y))))
(*.f64 -2 x)
(/.f64 -1 (*.f64 (/.f64 y x) (/.f64 1/2 y)))
(*.f64 -2 x)
(/.f64 -1 (-.f64 0 (/.f64 (/.f64 -1/2 y) (/.f64 x y))))
(*.f64 -2 x)
(/.f64 (+.f64 x x) -1)
(*.f64 -2 x)
(/.f64 (+.f64 x x) (/.f64 y (neg.f64 y)))
(*.f64 -2 x)
(/.f64 (+.f64 x x) (-.f64 0 (/.f64 y y)))
(*.f64 -2 x)
(/.f64 (*.f64 2 (/.f64 x y)) (/.f64 -1 y))
(*.f64 -2 x)
(/.f64 (.f64 2 (/.f64 x y)) (.f64 -2 (/.f64 1/2 y)))
(*.f64 -2 x)
(/.f64 (.f64 2 (/.f64 x y)) (.f64 2 (/.f64 -1/2 y)))
(*.f64 -2 x)
(/.f64 (*.f64 x 4) -2)
(*.f64 -2 x)
(/.f64 (.f64 x 4) (/.f64 (.f64 y -2) y))
(*.f64 -2 x)
(/.f64 (.f64 x 4) (-.f64 0 (.f64 2 (/.f64 y y))))
(*.f64 -2 x)
(/.f64 (*.f64 y 4) (/.f64 y (/.f64 x -2)))
(*.f64 -2 x)
(/.f64 -2 (.f64 2 (.f64 (/.f64 y x) (/.f64 1/2 y))))
(*.f64 -2 x)
(/.f64 -2 (-.f64 0 (*.f64 (/.f64 1/2 y) (/.f64 y (/.f64 x -2)))))
(*.f64 -2 x)
(/.f64 (*.f64 x (/.f64 -2 y)) (/.f64 1 y))
(*.f64 -2 x)
(/.f64 (.f64 x (/.f64 -2 y)) (-.f64 0 (.f64 -2 (/.f64 1/2 y))))
(/.f64 (.f64 x (/.f64 -2 y)) (neg.f64 (.f64 -2 (/.f64 1/2 y))))
(.f64 (/.f64 -2 y) (/.f64 (neg.f64 x) (.f64 -2 (/.f64 1/2 y))))
(/.f64 (*.f64 x -2) 1)
(*.f64 -2 x)
(/.f64 (*.f64 x -2) (/.f64 y y))
(*.f64 -2 x)
(/.f64 (*.f64 x -2) (-.f64 0 (/.f64 y (neg.f64 y))))
(*.f64 -2 x)
(/.f64 (*.f64 y -2) (/.f64 y x))
(*.f64 -2 x)
(/.f64 (neg.f64 x) (*.f64 y (/.f64 1/2 y)))
(*.f64 -2 x)
(/.f64 (neg.f64 x) (-.f64 0 (*.f64 y (/.f64 -1/2 y))))
(*.f64 -2 x)
(/.f64 (neg.f64 y) (/.f64 y (+.f64 x x)))
(*.f64 -2 x)
(/.f64 (neg.f64 y) (/.f64 (/.f64 y x) 2))
(*.f64 -2 x)
(/.f64 (neg.f64 y) (/.f64 (*.f64 2 (/.f64 y x)) 4))
(/.f64 (neg.f64 y) (*.f64 (/.f64 y x) 1/2))
(/.f64 4 (*.f64 2 (/.f64 -1 x)))
(/.f64 (neg.f64 y) (-.f64 0 (/.f64 y (*.f64 x -2))))
(*.f64 -2 x)
(/.f64 (neg.f64 y) (/.f64 (/.f64 y (neg.f64 x)) -2))
(*.f64 -2 x)
(/.f64 4 (.f64 2 (.f64 (/.f64 1/2 y) (/.f64 y (/.f64 x -2)))))
(*.f64 -2 x)
(/.f64 (.f64 y -4) (.f64 2 (/.f64 y x)))
(*.f64 -2 x)
(/.f64 (*.f64 y -4) (neg.f64 (/.f64 y (/.f64 x -2))))
(*.f64 -2 x)
(/.f64 (.f64 (/.f64 x y) 4) (.f64 -4 (/.f64 1/2 y)))
(*.f64 -2 x)
(/.f64 (.f64 (/.f64 x y) 4) (.f64 2 (*.f64 -2 (/.f64 1/2 y))))
(*.f64 -2 x)
(/.f64 (.f64 (/.f64 x y) -4) (.f64 2 (/.f64 1 y)))
(*.f64 -2 x)
(/.f64 (.f64 (/.f64 x y) -4) (.f64 4 (/.f64 1/2 y)))
(*.f64 -2 x)
(/.f64 (*.f64 x -4) 2)
(*.f64 -2 x)
(/.f64 (.f64 x -4) (.f64 2 (/.f64 y y)))
(*.f64 -2 x)
(/.f64 (.f64 x -4) (-.f64 0 (/.f64 (.f64 y -2) y)))
(*.f64 -2 x)
(/.f64 (.f64 2 (.f64 x 4)) -4)
(*.f64 -2 x)
(/.f64 (.f64 2 (.f64 x 4)) (/.f64 (*.f64 y -4) y))
(*.f64 -2 x)
(/.f64 (*.f64 -2 (neg.f64 x)) -1)
(*.f64 -2 x)
(/.f64 (.f64 2 (.f64 (/.f64 x y) 4)) (.f64 2 (.f64 -4 (/.f64 1/2 y))))
(*.f64 -2 x)
(/.f64 (.f64 2 (.f64 2 (*.f64 x 4))) -8)
(*.f64 -2 x)
(/.f64 (.f64 2 (.f64 (/.f64 x y) -4)) (.f64 2 (.f64 4 (/.f64 1/2 y))))
(*.f64 -2 x)
(/.f64 (*.f64 (neg.f64 x) 8) 4)
(*.f64 -2 x)
(/.f64 (.f64 (neg.f64 x) 8) (/.f64 (.f64 y 4) y))
(*.f64 -2 x)
(/.f64 (.f64 2 (.f64 (neg.f64 x) 8)) 8)
(*.f64 -2 x)
(/.f64 (.f64 2 (.f64 -2 (neg.f64 x))) -2)
(*.f64 -2 x)
(/.f64 (*.f64 (+.f64 y y) (neg.f64 x)) y)
(*.f64 -2 x)
(/.f64 (.f64 x (.f64 y -2)) y)
(*.f64 -2 x)
(/.f64 (neg.f64 (.f64 (/.f64 x y) 4)) (-.f64 0 (.f64 -4 (/.f64 1/2 y))))
(*.f64 -2 x)
(/.f64 (/.f64 x (/.f64 -1/2 y)) y)
(*.f64 -2 x)
(/.f64 (/.f64 2 (/.f64 1/2 y)) (/.f64 y (/.f64 x -2)))
(*.f64 -2 x)
(/.f64 (/.f64 x (/.f64 1/2 y)) (neg.f64 y))
(*.f64 -2 x)
(/.f64 (/.f64 x (/.f64 1/2 y)) (/.f64 1 (/.f64 -1 y)))
(*.f64 -2 x)
(/.f64 (/.f64 2 (/.f64 1 y)) (/.f64 y (neg.f64 x)))
(*.f64 -2 x)
(/.f64 (/.f64 2 (/.f64 1 y)) (/.f64 (neg.f64 (/.f64 1 x)) (/.f64 1 y)))
(*.f64 -2 x)
(/.f64 (/.f64 2 (/.f64 1 y)) (/.f64 (/.f64 1 x) (/.f64 -1 y)))
(*.f64 -2 x)
(/.f64 (/.f64 -1 (/.f64 1/2 y)) (/.f64 y x))
(*.f64 -2 x)
(/.f64 (/.f64 (+.f64 x x) (/.f64 1/2 y)) (*.f64 y -2))
(*.f64 -2 x)
(/.f64 (/.f64 (+.f64 x x) (/.f64 1/2 y)) (/.f64 -1 (/.f64 1/2 y)))
(*.f64 -2 x)
(/.f64 (/.f64 (+.f64 x x) (/.f64 1/2 y)) (/.f64 -4 (*.f64 2 (/.f64 1 y))))
(*.f64 -2 x)
(/.f64 (/.f64 (.f64 x 4) (/.f64 1/2 y)) (.f64 y -4))
(*.f64 -2 x)
(/.f64 (/.f64 (+.f64 x x) (/.f64 -1/2 y)) (+.f64 y y))
(*.f64 -2 x)
(/.f64 (/.f64 (*.f64 (/.f64 x y) 4) (/.f64 1/2 y)) -4)
(*.f64 -2 x)
(/.f64 (/.f64 (*.f64 (/.f64 x y) -4) (/.f64 1/2 y)) 4)
(*.f64 -2 x)
(/.f64 (/.f64 (.f64 x -4) (/.f64 1/2 y)) (.f64 y 4))
(*.f64 -2 x)
(/.f64 (.f64 2 (/.f64 (/.f64 y (neg.f64 x)) y)) (.f64 (/.f64 (/.f64 y (neg.f64 x)) y) (/.f64 (/.f64 y (neg.f64 x)) y)))
(.f64 (/.f64 y (.f64 (neg.f64 x) y)) (/.f64 2 (.f64 (/.f64 y (.f64 (neg.f64 x) y)) (/.f64 y (*.f64 (neg.f64 x) y)))))
(.f64 (/.f64 -1 x) (/.f64 (.f64 -2 x) (/.f64 -1 x)))
(/.f64 (/.f64 (*.f64 -2 x) (neg.f64 x)) (/.f64 -1 x))
(/.f64 (.f64 2 (.f64 2 (*.f64 (neg.f64 x) 8))) 16)
(*.f64 -2 x)
(/.f64 (.f64 2 (/.f64 2 (/.f64 1/2 y))) (.f64 2 (/.f64 y (/.f64 x -2))))
(*.f64 -2 x)
(/.f64 (.f64 2 (/.f64 x (/.f64 1/2 y))) (.f64 y -2))
(*.f64 -2 x)
(/.f64 (*.f64 2 (/.f64 2 (/.f64 1 y))) (/.f64 y (/.f64 x -2)))
(*.f64 -2 x)
(/.f64 (.f64 2 (/.f64 -1 (/.f64 1/2 y))) (.f64 2 (/.f64 y x)))
(*.f64 -2 x)
(/.f64 (.f64 2 (/.f64 (+.f64 x x) (/.f64 1/2 y))) (.f64 y -4))
(*.f64 -2 x)
(/.f64 (.f64 2 (.f64 2 (*.f64 -2 (neg.f64 x)))) -4)
(*.f64 -2 x)
(/.f64 (.f64 2 (/.f64 (.f64 x 4) (/.f64 1/2 y))) (neg.f64 (*.f64 y 8)))
(*.f64 -2 x)
(/.f64 (.f64 2 (/.f64 (+.f64 x x) (/.f64 -1/2 y))) (.f64 y 4))
(*.f64 -2 x)
(/.f64 (*.f64 2 (/.f64 x (/.f64 -1/2 y))) (+.f64 y y))
(*.f64 -2 x)
(/.f64 (.f64 2 (/.f64 (.f64 (/.f64 x y) 4) (/.f64 1/2 y))) -8)
(.f64 (.f64 4 (/.f64 (/.f64 x y) (/.f64 1/2 y))) -1/4)
(*.f64 (/.f64 y (/.f64 1/8 (/.f64 x y))) -1/4)
(/.f64 (.f64 2 (/.f64 (.f64 (/.f64 x y) -4) (/.f64 1/2 y))) 8)
(.f64 (.f64 -4 (/.f64 (/.f64 x y) (/.f64 1/2 y))) 1/4)
(*.f64 (/.f64 y (/.f64 -1/8 (/.f64 x y))) 1/4)
(*.f64 (/.f64 4 (/.f64 -1/2 x)) 1/4)
(/.f64 (.f64 2 (/.f64 (.f64 x -4) (/.f64 1/2 y))) (*.f64 y 8))
(*.f64 -2 x)
(/.f64 (neg.f64 (/.f64 2 (/.f64 1/2 y))) (neg.f64 (/.f64 y (/.f64 x -2))))
(*.f64 -2 x)
(/.f64 (neg.f64 (/.f64 x (/.f64 1/2 y))) y)
(*.f64 -2 x)
(/.f64 (neg.f64 (/.f64 2 (/.f64 1 y))) (/.f64 y x))
(*.f64 -2 x)
(/.f64 (neg.f64 (/.f64 -1 (/.f64 1/2 y))) (/.f64 y (neg.f64 x)))
(*.f64 -2 x)
(/.f64 (neg.f64 (/.f64 (+.f64 x x) (/.f64 1/2 y))) (+.f64 y y))
(*.f64 -2 x)
(/.f64 (neg.f64 (/.f64 (+.f64 x x) (/.f64 1/2 y))) (neg.f64 (/.f64 -1 (/.f64 1/2 y))))
(*.f64 -2 x)
(/.f64 (neg.f64 (/.f64 (.f64 x 4) (/.f64 1/2 y))) (.f64 y 4))
(*.f64 -2 x)
(/.f64 (neg.f64 (/.f64 (+.f64 x x) (/.f64 -1/2 y))) (*.f64 y -2))
(*.f64 -2 x)
(/.f64 (neg.f64 (/.f64 (.f64 x -4) (/.f64 1/2 y))) (.f64 y -4))
(*.f64 -2 x)
(/.f64 (neg.f64 (/.f64 x (/.f64 -1/2 y))) (neg.f64 y))
(*.f64 -2 x)
(/.f64 (neg.f64 (.f64 (/.f64 x y) -4)) (-.f64 0 (.f64 2 (/.f64 1 y))))
(*.f64 -2 x)
(/.f64 (neg.f64 (.f64 (/.f64 x y) -4)) (-.f64 0 (.f64 4 (/.f64 1/2 y))))
(*.f64 -2 x)
(/.f64 (neg.f64 (.f64 2 (/.f64 2 (/.f64 1/2 y)))) (-.f64 0 (.f64 2 (/.f64 y (/.f64 x -2)))))
(*.f64 -2 x)
(/.f64 (neg.f64 (*.f64 2 (/.f64 x (/.f64 1/2 y)))) (+.f64 y y))
(*.f64 -2 x)
(/.f64 (neg.f64 (*.f64 2 (/.f64 2 (/.f64 1 y)))) (neg.f64 (/.f64 y (/.f64 x -2))))
(*.f64 -2 x)
(/.f64 (neg.f64 (*.f64 2 (/.f64 -1 (/.f64 1/2 y)))) (/.f64 y (/.f64 x -2)))
(*.f64 -2 x)
(/.f64 (neg.f64 (.f64 2 (/.f64 (+.f64 x x) (/.f64 1/2 y)))) (.f64 y 4))
(*.f64 -2 x)
(/.f64 (neg.f64 (.f64 2 (/.f64 (.f64 x 4) (/.f64 1/2 y)))) (-.f64 0 (neg.f64 (*.f64 y 8))))
(*.f64 -2 x)
(/.f64 (neg.f64 (.f64 2 (/.f64 (+.f64 x x) (/.f64 -1/2 y)))) (.f64 y -4))
(*.f64 -2 x)
(/.f64 (neg.f64 (.f64 2 (/.f64 x (/.f64 -1/2 y)))) (.f64 y -2))
(*.f64 -2 x)
(/.f64 (neg.f64 (.f64 2 (/.f64 (.f64 x -4) (/.f64 1/2 y)))) (neg.f64 (*.f64 y 8)))
(*.f64 -2 x)
(/.f64 (neg.f64 (neg.f64 (/.f64 2 (/.f64 1/2 y)))) (/.f64 y (/.f64 x -2)))
(*.f64 -2 x)
(/.f64 (neg.f64 (neg.f64 (/.f64 x (/.f64 1/2 y)))) (neg.f64 y))
(*.f64 -2 x)
(/.f64 (neg.f64 (neg.f64 (/.f64 2 (/.f64 1 y)))) (/.f64 y (neg.f64 x)))
(*.f64 -2 x)
(/.f64 (neg.f64 (neg.f64 (/.f64 -1 (/.f64 1/2 y)))) (/.f64 y x))
(*.f64 -2 x)
(/.f64 (neg.f64 (neg.f64 (/.f64 (+.f64 x x) (/.f64 1/2 y)))) (*.f64 y -2))
(*.f64 -2 x)
(/.f64 (neg.f64 (neg.f64 (/.f64 (.f64 x 4) (/.f64 1/2 y)))) (.f64 y -4))
(*.f64 -2 x)
(/.f64 (neg.f64 (neg.f64 (/.f64 (+.f64 x x) (/.f64 -1/2 y)))) (+.f64 y y))
(*.f64 -2 x)
(/.f64 (neg.f64 (neg.f64 (/.f64 (.f64 x -4) (/.f64 1/2 y)))) (.f64 y 4))
(*.f64 -2 x)
(/.f64 (neg.f64 (neg.f64 (/.f64 x (/.f64 -1/2 y)))) y)
(*.f64 -2 x)
(pow.f64 (*.f64 x -2) 1)
(*.f64 -2 x)
(neg.f64 (+.f64 x x))
(*.f64 -2 x)
(neg.f64 (*.f64 -2 (neg.f64 x)))
(*.f64 -2 x)

localize4.0ms (0.1%)

Compiler: Compiled 6 to 3 computations (50% saved)

eval71.0ms (1.5%)

Compiler: Compiled 1614 to 1027 computations (36.4% saved)

prune67.0ms (1.4%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	156	1	157
Fresh	0	0	0
Picked	0	1	1
Done	1	3	4
Total	157	5	162

Error

Counts

162 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	38.1b	(/.f64 (/.f64 x y) (/.f64 -1/2 y))
✓	32.1b	(+.f64 y y)
✓	6.9b	(.f64 (.f64 x 2) (/.f64 y (-.f64 x y)))
✓	6.9b	(.f64 (.f64 2 y) (/.f64 x (-.f64 x y)))
✓	31.0b	(*.f64 x -2)

Compiler

Compiled 41 to 27 computations (34.1% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	14.0b	(/.f64 (/.f64 x y) (/.f64 -1/2 y))

Compiler

Compiled 18 to 9 computations (50% saved)

series0.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/.f64 (/.f64 x y) (/.f64 -1/2 y))
0.0ms	y	@	-inf	(/.f64 (/.f64 x y) (/.f64 -1/2 y))
0.0ms	y	@	inf	(/.f64 (/.f64 x y) (/.f64 -1/2 y))
0.0ms	x	@	inf	(/.f64 (/.f64 x y) (/.f64 -1/2 y))
0.0ms	x	@	-inf	(/.f64 (/.f64 x y) (/.f64 -1/2 y))

rewrite76.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1188×	`rational.json-simplify-50`
1068×	`rational.json-simplify-2`
1036×	`exponential.json-3`
1036×	`rational.json-1`
1036×	`rational.json-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	65	19
2	239	19
3	1009	7
4	3539	7

Stop Event

1×	node limit

Counts

1 → 135

Calls

Call 1

Inputs
(/.f64 (/.f64 x y) (/.f64 -1/2 y))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (-.f64 1 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x -2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x y) (neg.f64 y)) (*.f64 (/.f64 x y) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x -2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 -2 (/.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 x (/.f64 -2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) (*.f64 y -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) (/.f64 2 (/.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (*.f64 y (/.f64 2 y)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (/.f64 y (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 (neg.f64 (/.f64 1 y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y y) (/.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y y) (/.f64 -1 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y y) (/.f64 (/.f64 1 y) (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y y) (/.f64 2 (/.f64 -2 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (/.f64 x y) (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (/.f64 x y) (neg.f64 (/.f64 -1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 x (*.f64 y (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 x (*.f64 y (neg.f64 (/.f64 -1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 x (neg.f64 (*.f64 y (/.f64 -1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 2 y)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 2 y)) (*.f64 1/2 (*.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 2 y)) (/.f64 1 (/.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (*.f64 x -2)) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (/.f64 -1/2 y)) (*.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 x y) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 x (/.f64 y (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 x (neg.f64 y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 y (/.f64 x (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 -1 (/.f64 y x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 y y) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1/2 y) (*.f64 y (*.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1 (/.f64 1 y)) (/.f64 x (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (neg.f64 y)) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x y) 4) (*.f64 (neg.f64 y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x y) 4) (/.f64 1 (*.f64 (/.f64 -1/2 y) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (*.f64 x -4)) (/.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 4) (*.f64 y (/.f64 -1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 4) (*.f64 (*.f64 (/.f64 1 y) 1/2) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 4) (/.f64 1 (*.f64 2 (/.f64 y (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 4) (/.f64 1 (/.f64 -2 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 4) (*.f64 1/2 (/.f64 x (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (*.f64 y (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 x (/.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 (+.f64 x x) (*.f64 y (/.f64 2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (*.f64 (/.f64 x (neg.f64 y)) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -2 (/.f64 y y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (*.f64 y (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (neg.f64 y)) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (neg.f64 y)) (/.f64 1 (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (neg.f64 y)) (/.f64 -1 (/.f64 -1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (+.f64 y y)) (/.f64 -1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (*.f64 x (/.f64 2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 -1 (*.f64 y (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (*.f64 y (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (*.f64 y (neg.f64 (/.f64 -1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 -1 (*.f64 y (/.f64 -1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 x -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -2) (/.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -2) (/.f64 1 (/.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -2) (*.f64 (/.f64 -1 y) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 -2 y)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 -2 y)) (/.f64 1 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y -2) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (/.f64 y 2) (/.f64 x (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (/.f64 x (+.f64 y y)) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (/.f64 (/.f64 x y) 2) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 (/.f64 x y) 4)) (*.f64 1/4 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x x) 4) (*.f64 (/.f64 1 (*.f64 y 4)) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 y y) 4) (*.f64 1/4 (/.f64 x (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -4) (/.f64 1 (*.f64 y (/.f64 2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -4 (/.f64 x (*.f64 y (/.f64 2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -4 (/.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1 y)) (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1 y)) (/.f64 x (/.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1 y)) (*.f64 (neg.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1 y)) (*.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 y)) (*.f64 x (/.f64 -2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y y) (*.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (/.f64 2 y)) (/.f64 1 (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (neg.f64 y)) (*.f64 2 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (/.f64 x y)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x y) (+.f64 y y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x y) (neg.f64 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (/.f64 -1/2 y)) (/.f64 x (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (/.f64 y x)) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 y) (*.f64 y (*.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 -1 x)) (*.f64 y (/.f64 2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 y) (*.f64 x (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 y) 4) (*.f64 (/.f64 x 2) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1/2 y)) (*.f64 y (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 y) (/.f64 -1 x)) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (*.f64 y -2)) (*.f64 x (/.f64 2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 y y)) (/.f64 2 (/.f64 -1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1/2 y)) (/.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (/.f64 y (neg.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (/.f64 -1 y)) (*.f64 2 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 -1 y)) (*.f64 x (/.f64 2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (/.f64 -1 y)) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (/.f64 -1/2 y) 4)) (*.f64 (/.f64 x y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 2 (/.f64 y (neg.f64 x)))) (*.f64 y 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 -2 (/.f64 x y))) (*.f64 y 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (/.f64 -2 (/.f64 x y))) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x y) (neg.f64 (/.f64 -1/2 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (/.f64 -1/2 y)) (/.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (*.f64 y (/.f64 -1/2 x))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (*.f64 y (/.f64 1/2 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 y (/.f64 1/2 y))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (*.f64 y (neg.f64 (/.f64 -1/2 y)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 y (neg.f64 (/.f64 -1/2 y)))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (neg.f64 (*.f64 y (/.f64 -1/2 y)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (*.f64 y (/.f64 -1/2 y))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (/.f64 y y)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 y y)) (*.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (*.f64 y (/.f64 2 y))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 y (/.f64 2 y))) (*.f64 x -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x x) (*.f64 y (/.f64 2 y))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 2) -4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 -1 (/.f64 y x)) (/.f64 -1 (/.f64 y x))) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1 (/.f64 -1 x)) (/.f64 1 (/.f64 -1 x))) (/.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 x x))))))

simplify115.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1990×	`rational.json-simplify-35`
1420×	`rational.json-simplify-2`
1232×	`rational.json-simplify-51`
952×	`rational.json-simplify-55`
568×	`rational.json-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	262	1169
1	593	1159
2	1708	1153
3	3636	1147
4	7282	1147

Stop Event

1×	node limit

Counts

159 → 143

Calls

Call 1

Inputs
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(+.f64 0 (*.f64 x -2))
(+.f64 -1 (-.f64 1 (+.f64 x x)))
(+.f64 -1 (+.f64 (-.f64 1 x) (neg.f64 x)))
(+.f64 (neg.f64 x) (neg.f64 x))
(+.f64 (*.f64 x -2) 0)
(+.f64 (.f64 (/.f64 x y) (neg.f64 y)) (.f64 (/.f64 x y) (neg.f64 y)))
(-.f64 0 (+.f64 x x))
(-.f64 (*.f64 x -2) 0)
(*.f64 x -2)
(.f64 x (.f64 -2 (/.f64 y y)))
(.f64 y (.f64 x (/.f64 -2 y)))
(.f64 (/.f64 x y) (.f64 y -2))
(*.f64 (/.f64 x y) (/.f64 2 (/.f64 -1 y)))
(.f64 1 (.f64 x -2))
(.f64 1 (.f64 (*.f64 y (/.f64 2 y)) (neg.f64 x)))
(*.f64 (+.f64 x x) -1)
(*.f64 (+.f64 x x) (/.f64 y (neg.f64 y)))
(.f64 (+.f64 x x) (.f64 (neg.f64 (/.f64 1 y)) y))
(*.f64 (+.f64 y y) (/.f64 x (neg.f64 y)))
(*.f64 (+.f64 y y) (/.f64 -1 (/.f64 y x)))
(*.f64 (+.f64 y y) (/.f64 (/.f64 1 y) (/.f64 -1 x)))
(*.f64 (+.f64 y y) (/.f64 2 (/.f64 -2 (/.f64 x y))))
(*.f64 -1 (+.f64 x x))
(.f64 -1 (.f64 (/.f64 x y) (+.f64 y y)))
(*.f64 -1 (/.f64 (/.f64 x y) (neg.f64 (/.f64 -1/2 y))))
(.f64 -1 (/.f64 x (.f64 y (/.f64 1/2 y))))
(.f64 -1 (/.f64 x (.f64 y (neg.f64 (/.f64 -1/2 y)))))
(.f64 -1 (/.f64 x (neg.f64 (.f64 y (/.f64 -1/2 y)))))
(.f64 (.f64 x (/.f64 2 y)) (neg.f64 y))
(.f64 (.f64 x (/.f64 2 y)) (.f64 1/2 (.f64 y -2)))
(.f64 (.f64 x (/.f64 2 y)) (/.f64 1 (/.f64 -1 y)))
(.f64 (.f64 y (*.f64 x -2)) (/.f64 1 y))
(.f64 (.f64 y (/.f64 -1/2 y)) (*.f64 x 4))
(*.f64 2 (neg.f64 x))
(.f64 2 (.f64 (/.f64 x y) (neg.f64 y)))
(*.f64 2 (/.f64 x (/.f64 y (neg.f64 y))))
(.f64 2 (.f64 (/.f64 x (neg.f64 y)) y))
(.f64 2 (.f64 y (/.f64 x (neg.f64 y))))
(.f64 2 (.f64 (/.f64 -1 (/.f64 y x)) y))
(.f64 2 (.f64 (/.f64 y y) (neg.f64 x)))
(.f64 2 (.f64 (/.f64 1/2 y) (.f64 y (.f64 x -2))))
(.f64 2 (.f64 (/.f64 1 (/.f64 1 y)) (/.f64 x (neg.f64 y))))
(*.f64 (/.f64 y (neg.f64 y)) (+.f64 x x))
(.f64 (.f64 (/.f64 x y) 4) (*.f64 (neg.f64 y) 1/2))
(.f64 (.f64 (/.f64 x y) 4) (/.f64 1 (*.f64 (/.f64 -1/2 y) 4)))
(.f64 (.f64 y (*.f64 x -4)) (/.f64 1/2 y))
(.f64 (.f64 x 4) (*.f64 y (/.f64 -1/2 y)))
(.f64 (.f64 x 4) (.f64 (.f64 (/.f64 1 y) 1/2) (neg.f64 y)))
(.f64 (.f64 y 4) (/.f64 1 (*.f64 2 (/.f64 y (neg.f64 x)))))
(.f64 (.f64 y 4) (/.f64 1 (/.f64 -2 (/.f64 x y))))
(.f64 (.f64 y 4) (*.f64 1/2 (/.f64 x (neg.f64 y))))
(*.f64 -2 x)
(.f64 -2 (.f64 y (/.f64 x y)))
(*.f64 -2 (/.f64 x (/.f64 y y)))
(.f64 -2 (/.f64 (+.f64 x x) (.f64 y (/.f64 2 y))))
(.f64 -2 (.f64 (/.f64 x (neg.f64 y)) (neg.f64 y)))
(.f64 (.f64 -2 (/.f64 y y)) x)
(.f64 (/.f64 1 y) (.f64 y (*.f64 x -2)))
(*.f64 (/.f64 x (neg.f64 y)) (+.f64 y y))
(*.f64 (/.f64 x (neg.f64 y)) (/.f64 1 (/.f64 1/2 y)))
(*.f64 (/.f64 x (neg.f64 y)) (/.f64 -1 (/.f64 -1/2 y)))
(.f64 (.f64 x (+.f64 y y)) (/.f64 -1 y))
(.f64 (neg.f64 y) (.f64 x (/.f64 2 y)))
(.f64 (neg.f64 y) (/.f64 -1 (.f64 y (/.f64 -1/2 x))))
(*.f64 (neg.f64 x) 2)
(.f64 (neg.f64 x) (/.f64 1 (.f64 y (/.f64 1/2 y))))
(.f64 (neg.f64 x) (/.f64 1 (.f64 y (neg.f64 (/.f64 -1/2 y)))))
(.f64 (neg.f64 x) (/.f64 -1 (.f64 y (/.f64 -1/2 y))))
(.f64 1/2 (.f64 x -4))
(.f64 (.f64 x -2) 1)
(.f64 (.f64 x -2) (/.f64 y y))
(.f64 (.f64 x -2) (/.f64 1 (/.f64 y y)))
(.f64 (.f64 x -2) (*.f64 (/.f64 -1 y) (neg.f64 y)))
(.f64 (.f64 x (/.f64 -2 y)) y)
(.f64 (.f64 x (/.f64 -2 y)) (/.f64 1 (/.f64 1 y)))
(.f64 (.f64 y -2) (/.f64 x y))
(.f64 4 (.f64 (/.f64 y 2) (/.f64 x (neg.f64 y))))
(.f64 4 (.f64 (/.f64 x (+.f64 y y)) (neg.f64 y)))
(.f64 4 (.f64 (/.f64 (/.f64 x y) 2) (neg.f64 y)))
(.f64 (.f64 2 (.f64 (/.f64 x y) 4)) (.f64 1/4 (neg.f64 y)))
(.f64 (.f64 (+.f64 x x) 4) (.f64 (/.f64 1 (.f64 y 4)) (neg.f64 y)))
(.f64 (.f64 (+.f64 y y) 4) (*.f64 1/4 (/.f64 x (neg.f64 y))))
(.f64 (.f64 x -4) 1/2)
(.f64 (.f64 x -4) (/.f64 1 (*.f64 y (/.f64 2 y))))
(.f64 -4 (/.f64 x (.f64 y (/.f64 2 y))))
(*.f64 -4 (/.f64 x 2))
(.f64 (.f64 2 (/.f64 1 y)) (*.f64 x (neg.f64 y)))
(.f64 (.f64 2 (/.f64 1 y)) (/.f64 x (/.f64 -1 y)))
(.f64 (.f64 2 (/.f64 1 y)) (*.f64 (neg.f64 x) y))
(.f64 (.f64 2 (/.f64 1 y)) (*.f64 y (neg.f64 x)))
(.f64 (/.f64 1 (/.f64 1 y)) (.f64 x (/.f64 -2 y)))
(.f64 (/.f64 y y) (.f64 x -2))
(.f64 (.f64 y (/.f64 2 y)) (/.f64 1 (/.f64 -1 x)))
(.f64 (.f64 x (neg.f64 y)) (*.f64 2 (/.f64 1 y)))
(.f64 (.f64 y (/.f64 x y)) -2)
(.f64 (.f64 (/.f64 x y) (+.f64 y y)) -1)
(.f64 (.f64 (/.f64 x y) (neg.f64 y)) 2)
(*.f64 (/.f64 2 (/.f64 -1/2 y)) (/.f64 x (+.f64 y y)))
(*.f64 (/.f64 -1 (/.f64 y x)) (+.f64 y y))
(.f64 (/.f64 1/2 y) (.f64 y (*.f64 x -4)))
(.f64 (/.f64 1 (/.f64 -1 x)) (.f64 y (/.f64 2 y)))
(.f64 (/.f64 -1 y) (.f64 x (+.f64 y y)))
(.f64 (.f64 (/.f64 1 y) 4) (*.f64 (/.f64 x 2) (neg.f64 y)))
(.f64 (.f64 2 (/.f64 1/2 y)) (.f64 y (.f64 x -2)))
(*.f64 (/.f64 (/.f64 1 y) (/.f64 -1 x)) (+.f64 y y))
(.f64 (.f64 1/2 (.f64 y -2)) (.f64 x (/.f64 2 y)))
(*.f64 (/.f64 x (+.f64 y y)) (/.f64 2 (/.f64 -1/2 y)))
(*.f64 (/.f64 1 (/.f64 1/2 y)) (/.f64 x (neg.f64 y)))
(*.f64 (/.f64 x (/.f64 y (neg.f64 y))) 2)
(.f64 (/.f64 x (/.f64 -1 y)) (.f64 2 (/.f64 1 y)))
(.f64 (/.f64 1 (/.f64 -1 y)) (.f64 x (/.f64 2 y)))
(*.f64 (/.f64 2 (/.f64 -1 y)) (/.f64 x y))
(.f64 (/.f64 1 (.f64 (/.f64 -1/2 y) 4)) (*.f64 (/.f64 x y) 4))
(.f64 (/.f64 1 (.f64 2 (/.f64 y (neg.f64 x)))) (*.f64 y 4))
(.f64 (/.f64 1 (/.f64 -2 (/.f64 x y))) (.f64 y 4))
(*.f64 (/.f64 2 (/.f64 -2 (/.f64 x y))) (+.f64 y y))
(*.f64 (/.f64 (/.f64 x y) (neg.f64 (/.f64 -1/2 y))) -1)
(*.f64 (/.f64 -1 (/.f64 -1/2 y)) (/.f64 x (neg.f64 y)))
(.f64 (/.f64 -1 (.f64 y (/.f64 -1/2 x))) (neg.f64 y))
(.f64 (/.f64 x (.f64 y (/.f64 1/2 y))) -1)
(.f64 (/.f64 1 (.f64 y (/.f64 1/2 y))) (neg.f64 x))
(.f64 (/.f64 x (.f64 y (neg.f64 (/.f64 -1/2 y)))) -1)
(.f64 (/.f64 1 (.f64 y (neg.f64 (/.f64 -1/2 y)))) (neg.f64 x))
(.f64 (/.f64 x (neg.f64 (.f64 y (/.f64 -1/2 y)))) -1)
(.f64 (/.f64 -1 (.f64 y (/.f64 -1/2 y))) (neg.f64 x))
(*.f64 (/.f64 x (/.f64 y y)) -2)
(.f64 (/.f64 1 (/.f64 y y)) (.f64 x -2))
(.f64 (/.f64 x (.f64 y (/.f64 2 y))) -4)
(.f64 (/.f64 1 (.f64 y (/.f64 2 y))) (*.f64 x -4))
(.f64 (/.f64 (+.f64 x x) (.f64 y (/.f64 2 y))) -2)
(*.f64 (/.f64 x 2) -4)
(*.f64 (+.f64 (/.f64 -1 (/.f64 y x)) (/.f64 -1 (/.f64 y x))) y)
(*.f64 (+.f64 (/.f64 1 (/.f64 -1 x)) (/.f64 1 (/.f64 -1 x))) (/.f64 y y))
(pow.f64 (*.f64 x -2) 1)
(neg.f64 (+.f64 x x))

Outputs
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(+.f64 0 (*.f64 x -2))
(*.f64 -2 x)
(+.f64 -1 (-.f64 1 (+.f64 x x)))
(*.f64 -2 x)
(+.f64 -1 (+.f64 (-.f64 1 x) (neg.f64 x)))
(*.f64 -2 x)
(+.f64 (neg.f64 x) (neg.f64 x))
(*.f64 -2 x)
(+.f64 (*.f64 x -2) 0)
(*.f64 -2 x)
(+.f64 (.f64 (/.f64 x y) (neg.f64 y)) (.f64 (/.f64 x y) (neg.f64 y)))
(*.f64 -2 x)
(-.f64 0 (+.f64 x x))
(*.f64 -2 x)
(-.f64 (*.f64 x -2) 0)
(*.f64 -2 x)
(*.f64 x -2)
(*.f64 -2 x)
(.f64 x (.f64 -2 (/.f64 y y)))
(*.f64 -2 x)
(.f64 y (.f64 x (/.f64 -2 y)))
(*.f64 -2 x)
(.f64 (/.f64 x y) (.f64 y -2))
(*.f64 -2 x)
(*.f64 (/.f64 x y) (/.f64 2 (/.f64 -1 y)))
(*.f64 -2 x)
(.f64 1 (.f64 x -2))
(*.f64 -2 x)
(.f64 1 (.f64 (*.f64 y (/.f64 2 y)) (neg.f64 x)))
(*.f64 -2 x)
(*.f64 (+.f64 x x) -1)
(*.f64 -2 x)
(*.f64 (+.f64 x x) (/.f64 y (neg.f64 y)))
(*.f64 -2 x)
(.f64 (+.f64 x x) (.f64 (neg.f64 (/.f64 1 y)) y))
(*.f64 -2 x)
(*.f64 (+.f64 y y) (/.f64 x (neg.f64 y)))
(*.f64 -2 x)
(*.f64 (+.f64 y y) (/.f64 -1 (/.f64 y x)))
(*.f64 -2 x)
(*.f64 (+.f64 y y) (/.f64 (/.f64 1 y) (/.f64 -1 x)))
(*.f64 -2 x)
(*.f64 (+.f64 y y) (/.f64 2 (/.f64 -2 (/.f64 x y))))
(*.f64 -2 x)
(*.f64 -1 (+.f64 x x))
(*.f64 -2 x)
(.f64 -1 (.f64 (/.f64 x y) (+.f64 y y)))
(*.f64 -2 x)
(*.f64 -1 (/.f64 (/.f64 x y) (neg.f64 (/.f64 -1/2 y))))
(*.f64 -2 x)
(.f64 -1 (/.f64 x (.f64 y (/.f64 1/2 y))))
(*.f64 -2 x)
(.f64 -1 (/.f64 x (.f64 y (neg.f64 (/.f64 -1/2 y)))))
(*.f64 -2 x)
(.f64 -1 (/.f64 x (neg.f64 (.f64 y (/.f64 -1/2 y)))))
(*.f64 -2 x)
(.f64 (.f64 x (/.f64 2 y)) (neg.f64 y))
(*.f64 -2 x)
(.f64 (.f64 x (/.f64 2 y)) (.f64 1/2 (.f64 y -2)))
(*.f64 -2 x)
(.f64 (.f64 x (/.f64 2 y)) (/.f64 1 (/.f64 -1 y)))
(*.f64 -2 x)
(.f64 (.f64 y (*.f64 x -2)) (/.f64 1 y))
(*.f64 -2 x)
(.f64 (.f64 y (/.f64 -1/2 y)) (*.f64 x 4))
(*.f64 -2 x)
(*.f64 2 (neg.f64 x))
(*.f64 -2 x)
(.f64 2 (.f64 (/.f64 x y) (neg.f64 y)))
(*.f64 -2 x)
(*.f64 2 (/.f64 x (/.f64 y (neg.f64 y))))
(*.f64 -2 x)
(.f64 2 (.f64 (/.f64 x (neg.f64 y)) y))
(*.f64 -2 x)
(.f64 2 (.f64 y (/.f64 x (neg.f64 y))))
(*.f64 -2 x)
(.f64 2 (.f64 (/.f64 -1 (/.f64 y x)) y))
(*.f64 -2 x)
(.f64 2 (.f64 (/.f64 y y) (neg.f64 x)))
(*.f64 -2 x)
(.f64 2 (.f64 (/.f64 1/2 y) (.f64 y (.f64 x -2))))
(*.f64 -2 x)
(.f64 2 (.f64 (/.f64 1 (/.f64 1 y)) (/.f64 x (neg.f64 y))))
(*.f64 -2 x)
(*.f64 (/.f64 y (neg.f64 y)) (+.f64 x x))
(*.f64 -2 x)
(.f64 (.f64 (/.f64 x y) 4) (*.f64 (neg.f64 y) 1/2))
(*.f64 -2 x)
(.f64 (.f64 (/.f64 x y) 4) (/.f64 1 (*.f64 (/.f64 -1/2 y) 4)))
(*.f64 -2 x)
(.f64 (.f64 y (*.f64 x -4)) (/.f64 1/2 y))
(*.f64 -2 x)
(.f64 (.f64 x 4) (*.f64 y (/.f64 -1/2 y)))
(*.f64 -2 x)
(.f64 (.f64 x 4) (.f64 (.f64 (/.f64 1 y) 1/2) (neg.f64 y)))
(*.f64 -2 x)
(.f64 (.f64 y 4) (/.f64 1 (*.f64 2 (/.f64 y (neg.f64 x)))))
(*.f64 -2 x)
(.f64 (.f64 y 4) (/.f64 1 (/.f64 -2 (/.f64 x y))))
(*.f64 -2 x)
(.f64 (.f64 y 4) (*.f64 1/2 (/.f64 x (neg.f64 y))))
(*.f64 -2 x)
(*.f64 -2 x)
(.f64 -2 (.f64 y (/.f64 x y)))
(*.f64 -2 x)
(*.f64 -2 (/.f64 x (/.f64 y y)))
(*.f64 -2 x)
(.f64 -2 (/.f64 (+.f64 x x) (.f64 y (/.f64 2 y))))
(*.f64 -2 x)
(.f64 -2 (.f64 (/.f64 x (neg.f64 y)) (neg.f64 y)))
(*.f64 -2 x)
(.f64 (.f64 -2 (/.f64 y y)) x)
(*.f64 -2 x)
(.f64 (/.f64 1 y) (.f64 y (*.f64 x -2)))
(*.f64 -2 x)
(*.f64 (/.f64 x (neg.f64 y)) (+.f64 y y))
(*.f64 -2 x)
(*.f64 (/.f64 x (neg.f64 y)) (/.f64 1 (/.f64 1/2 y)))
(*.f64 -2 x)
(*.f64 (/.f64 x (neg.f64 y)) (/.f64 -1 (/.f64 -1/2 y)))
(*.f64 -2 x)
(.f64 (.f64 x (+.f64 y y)) (/.f64 -1 y))
(*.f64 -2 x)
(.f64 (neg.f64 y) (.f64 x (/.f64 2 y)))
(*.f64 -2 x)
(.f64 (neg.f64 y) (/.f64 -1 (.f64 y (/.f64 -1/2 x))))
(*.f64 -2 x)
(*.f64 (neg.f64 x) 2)
(*.f64 -2 x)
(.f64 (neg.f64 x) (/.f64 1 (.f64 y (/.f64 1/2 y))))
(*.f64 -2 x)
(.f64 (neg.f64 x) (/.f64 1 (.f64 y (neg.f64 (/.f64 -1/2 y)))))
(*.f64 -2 x)
(.f64 (neg.f64 x) (/.f64 -1 (.f64 y (/.f64 -1/2 y))))
(*.f64 -2 x)
(.f64 1/2 (.f64 x -4))
(*.f64 -2 x)
(.f64 (.f64 x -2) 1)
(*.f64 -2 x)
(.f64 (.f64 x -2) (/.f64 y y))
(*.f64 -2 x)
(.f64 (.f64 x -2) (/.f64 1 (/.f64 y y)))
(*.f64 -2 x)
(.f64 (.f64 x -2) (*.f64 (/.f64 -1 y) (neg.f64 y)))
(*.f64 -2 x)
(.f64 (.f64 x (/.f64 -2 y)) y)
(*.f64 -2 x)
(.f64 (.f64 x (/.f64 -2 y)) (/.f64 1 (/.f64 1 y)))
(*.f64 -2 x)
(.f64 (.f64 y -2) (/.f64 x y))
(*.f64 -2 x)
(.f64 4 (.f64 (/.f64 y 2) (/.f64 x (neg.f64 y))))
(*.f64 -2 x)
(.f64 4 (.f64 (/.f64 x (+.f64 y y)) (neg.f64 y)))
(*.f64 -2 x)
(.f64 4 (.f64 (/.f64 (/.f64 x y) 2) (neg.f64 y)))
(*.f64 -2 x)
(.f64 (.f64 2 (.f64 (/.f64 x y) 4)) (.f64 1/4 (neg.f64 y)))
(.f64 (.f64 (/.f64 x y) 8) (*.f64 (neg.f64 y) 1/4))
(.f64 (/.f64 x y) (.f64 8 (*.f64 y -1/4)))
(.f64 (/.f64 x y) (.f64 (*.f64 y -1/4) 8))
(.f64 1/4 (.f64 2 (*.f64 x -4)))
(.f64 (.f64 (+.f64 x x) 4) (.f64 (/.f64 1 (.f64 y 4)) (neg.f64 y)))
(.f64 (.f64 (+.f64 x x) 4) (.f64 (neg.f64 y) (/.f64 1 (.f64 y 4))))
(.f64 (/.f64 1/4 y) (.f64 (+.f64 x x) (*.f64 (neg.f64 y) 4)))
(.f64 (/.f64 1/4 y) (.f64 8 (*.f64 x (neg.f64 y))))
(.f64 (neg.f64 y) (.f64 (/.f64 1/4 y) (*.f64 x 8)))
(.f64 (.f64 (+.f64 y y) 4) (*.f64 1/4 (/.f64 x (neg.f64 y))))
(*.f64 -2 x)
(.f64 (.f64 x -4) 1/2)
(*.f64 -2 x)
(.f64 (.f64 x -4) (/.f64 1 (*.f64 y (/.f64 2 y))))
(*.f64 -2 x)
(.f64 -4 (/.f64 x (.f64 y (/.f64 2 y))))
(*.f64 -2 x)
(*.f64 -4 (/.f64 x 2))
(*.f64 -2 x)
(.f64 (.f64 2 (/.f64 1 y)) (*.f64 x (neg.f64 y)))
(*.f64 -2 x)
(.f64 (.f64 2 (/.f64 1 y)) (/.f64 x (/.f64 -1 y)))
(*.f64 -2 x)
(.f64 (.f64 2 (/.f64 1 y)) (*.f64 (neg.f64 x) y))
(*.f64 -2 x)
(.f64 (.f64 2 (/.f64 1 y)) (*.f64 y (neg.f64 x)))
(*.f64 -2 x)
(.f64 (/.f64 1 (/.f64 1 y)) (.f64 x (/.f64 -2 y)))
(*.f64 -2 x)
(.f64 (/.f64 y y) (.f64 x -2))
(*.f64 -2 x)
(.f64 (.f64 y (/.f64 2 y)) (/.f64 1 (/.f64 -1 x)))
(*.f64 -2 x)
(.f64 (.f64 x (neg.f64 y)) (*.f64 2 (/.f64 1 y)))
(*.f64 -2 x)
(.f64 (.f64 y (/.f64 x y)) -2)
(*.f64 -2 x)
(.f64 (.f64 (/.f64 x y) (+.f64 y y)) -1)
(*.f64 -2 x)
(.f64 (.f64 (/.f64 x y) (neg.f64 y)) 2)
(*.f64 -2 x)
(*.f64 (/.f64 2 (/.f64 -1/2 y)) (/.f64 x (+.f64 y y)))
(*.f64 -2 x)
(*.f64 (/.f64 -1 (/.f64 y x)) (+.f64 y y))
(*.f64 -2 x)
(.f64 (/.f64 1/2 y) (.f64 y (*.f64 x -4)))
(*.f64 -2 x)
(.f64 (/.f64 1 (/.f64 -1 x)) (.f64 y (/.f64 2 y)))
(*.f64 -2 x)
(.f64 (/.f64 -1 y) (.f64 x (+.f64 y y)))
(*.f64 -2 x)
(.f64 (.f64 (/.f64 1 y) 4) (*.f64 (/.f64 x 2) (neg.f64 y)))
(*.f64 -2 x)
(.f64 (.f64 2 (/.f64 1/2 y)) (.f64 y (.f64 x -2)))
(*.f64 -2 x)
(*.f64 (/.f64 (/.f64 1 y) (/.f64 -1 x)) (+.f64 y y))
(*.f64 -2 x)
(.f64 (.f64 1/2 (.f64 y -2)) (.f64 x (/.f64 2 y)))
(*.f64 -2 x)
(*.f64 (/.f64 x (+.f64 y y)) (/.f64 2 (/.f64 -1/2 y)))
(*.f64 -2 x)
(*.f64 (/.f64 1 (/.f64 1/2 y)) (/.f64 x (neg.f64 y)))
(*.f64 -2 x)
(*.f64 (/.f64 x (/.f64 y (neg.f64 y))) 2)
(*.f64 -2 x)
(.f64 (/.f64 x (/.f64 -1 y)) (.f64 2 (/.f64 1 y)))
(*.f64 -2 x)
(.f64 (/.f64 1 (/.f64 -1 y)) (.f64 x (/.f64 2 y)))
(*.f64 -2 x)
(*.f64 (/.f64 2 (/.f64 -1 y)) (/.f64 x y))
(*.f64 -2 x)
(.f64 (/.f64 1 (.f64 (/.f64 -1/2 y) 4)) (*.f64 (/.f64 x y) 4))
(*.f64 -2 x)
(.f64 (/.f64 1 (.f64 2 (/.f64 y (neg.f64 x)))) (*.f64 y 4))
(*.f64 -2 x)
(.f64 (/.f64 1 (/.f64 -2 (/.f64 x y))) (.f64 y 4))
(*.f64 -2 x)
(*.f64 (/.f64 2 (/.f64 -2 (/.f64 x y))) (+.f64 y y))
(*.f64 -2 x)
(*.f64 (/.f64 (/.f64 x y) (neg.f64 (/.f64 -1/2 y))) -1)
(*.f64 -2 x)
(*.f64 (/.f64 -1 (/.f64 -1/2 y)) (/.f64 x (neg.f64 y)))
(*.f64 -2 x)
(.f64 (/.f64 -1 (.f64 y (/.f64 -1/2 x))) (neg.f64 y))
(*.f64 -2 x)
(.f64 (/.f64 x (.f64 y (/.f64 1/2 y))) -1)
(*.f64 -2 x)
(.f64 (/.f64 1 (.f64 y (/.f64 1/2 y))) (neg.f64 x))
(*.f64 -2 x)
(.f64 (/.f64 x (.f64 y (neg.f64 (/.f64 -1/2 y)))) -1)
(*.f64 -2 x)
(.f64 (/.f64 1 (.f64 y (neg.f64 (/.f64 -1/2 y)))) (neg.f64 x))
(*.f64 -2 x)
(.f64 (/.f64 x (neg.f64 (.f64 y (/.f64 -1/2 y)))) -1)
(*.f64 -2 x)
(.f64 (/.f64 -1 (.f64 y (/.f64 -1/2 y))) (neg.f64 x))
(*.f64 -2 x)
(*.f64 (/.f64 x (/.f64 y y)) -2)
(*.f64 -2 x)
(.f64 (/.f64 1 (/.f64 y y)) (.f64 x -2))
(*.f64 -2 x)
(.f64 (/.f64 x (.f64 y (/.f64 2 y))) -4)
(*.f64 -2 x)
(.f64 (/.f64 1 (.f64 y (/.f64 2 y))) (*.f64 x -4))
(*.f64 -2 x)
(.f64 (/.f64 (+.f64 x x) (.f64 y (/.f64 2 y))) -2)
(*.f64 -2 x)
(*.f64 (/.f64 x 2) -4)
(*.f64 -2 x)
(*.f64 (+.f64 (/.f64 -1 (/.f64 y x)) (/.f64 -1 (/.f64 y x))) y)
(*.f64 -2 x)
(*.f64 (+.f64 (/.f64 1 (/.f64 -1 x)) (/.f64 1 (/.f64 -1 x))) (/.f64 y y))
(*.f64 -2 x)
(pow.f64 (*.f64 x -2) 1)
(*.f64 -2 x)
(neg.f64 (+.f64 x x))
(*.f64 -2 x)

eval73.0ms (1.5%)

Compiler: Compiled 1303 to 732 computations (43.8% saved)

prune24.0ms (0.5%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	143	0	143
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	143	5	148

Error

Counts

148 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	38.1b	(/.f64 (/.f64 x y) (/.f64 -1/2 y))
✓	32.1b	(+.f64 y y)
✓	6.9b	(.f64 (.f64 x 2) (/.f64 y (-.f64 x y)))
✓	6.9b	(.f64 (.f64 2 y) (/.f64 x (-.f64 x y)))
✓	31.0b	(*.f64 x -2)

Compiler

Compiled 41 to 27 computations (34.1% saved)

regimes54.0ms (1.1%)

Counts

7 → 3

Calls

Call 1

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

Outputs
(.f64 (.f64 2 y) (/.f64 x (-.f64 x y)))
(.f64 (.f64 x 2) (/.f64 y (-.f64 x y)))
(.f64 (.f64 2 y) (/.f64 x (-.f64 x y)))

Calls

3 calls:

22.0ms	(/.f64 (.f64 (.f64 x 2) y) (-.f64 x y))
15.0ms	x
15.0ms	y

Results

Error	Segments	Branch
0.0b	3	`x`
0.0b	3	`y`
0.3b	5	`(/.f64 (.f64 (.f64 x 2) y) (-.f64 x y))`

Compiler

Compiled 67 to 37 computations (44.8% saved)

bsearch35.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
20.0ms	1.976668448822155e-92	5.388013864187875e-66
14.0ms	-1.441684478240757e+127	-2.279303746557297e+123

Results

31.0ms

304×

body

256

valid

Compiler

Compiled 472 to 315 computations (33.3% saved)

regimes29.0ms (0.6%)

Counts

5 → 3

Calls

Call 1

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

Outputs
(*.f64 x -2)
(.f64 (.f64 2 y) (/.f64 x (-.f64 x y)))
(*.f64 x -2)

Calls

2 calls:

14.0ms	y
14.0ms	x

Results

Error	Segments	Branch
3.0b	3	`x`
2.8b	3	`y`

Compiler

Compiled 38 to 22 computations (42.1% saved)

bsearch109.0ms (2.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
33.0ms	7.763817654462622e+223	4.608126570959226e+227
76.0ms	-6.177514533094565e+238	-4.787571224437885e+234

Results

105.0ms

256×

body

256

valid

Compiler

Compiled 304 to 219 computations (28% saved)

regimes46.0ms (0.9%)

Accuracy

Total -49.5b remaining (-395.6%)

Threshold costs -49.5b (-395.6%)

Counts

4 → 5

Calls

Call 1

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

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

Calls

2 calls:

23.0ms	y
22.0ms	x

Results

Error	Segments	Branch
15.0b	5	`x`
12.5b	5	`y`

Compiler

Compiled 29 to 17 computations (41.4% saved)

bsearch55.0ms (1.1%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
12.0ms	1.4914876974671258e-35	6.26498856017446e-34
14.0ms	-3.596023022610639e-94	-7.735696607980051e-97
14.0ms	-31152042513436.93	-20647669821.63889
16.0ms	-1.271333406322223e+88	-6.718814965139422e+84

Results

49.0ms

496×

body

256

valid

Compiler

Compiled 388 to 290 computations (25.3% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	228

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 x -2299999999999999904697756955220125218205602694668250364707743850092732393284926021750173864436559237930586081048774924304384) (.f64 (.f64 2 y) (/.f64 x (-.f64 x y))) (if (<=.f64 x 2466278867083445/474284397516047136454946754595585670566993857190463750305618264096412179005177856) (.f64 (.f64 x 2) (/.f64 y (-.f64 x y))) (.f64 (.f64 2 y) (/.f64 x (-.f64 x y)))))
(if (<=.f64 y -5900000000000000087758399313034529554131290423024380506172301114229694023480223231795546103000209903855262112650982377766311522768731929535306088352050762477128263455471503358471665584802781960618357832865915141754041030729749462253568) (.f64 x -2) (if (<=.f64 y 80000000000000003728144573985655805472406864795950148913678436641494622505846903965821416977135656985682718127678839189225380933280551847308849767799411475246994410189385297751958976471604419066116778861724819422748396748800) (.f64 (.f64 2 y) (/.f64 x (-.f64 x y))) (.f64 x -2)))
(if (<=.f64 y -7500000000000000109730214230061547732275322408984912944589580903773472731883611619328) (.f64 x -2) (if (<=.f64 y -80000000000) (+.f64 y y) (if (<=.f64 y -3757668132438133/75153362648762663292463379097258784876021841565066235862633311089030688803667470190838367948312598497021919232) (.f64 x -2) (if (<=.f64 y 8652089692998945/23384026197294446691258957323460528314494920687616) (+.f64 y y) (*.f64 x -2)))))
(*.f64 x -2)

Outputs
(if (<=.f64 x -2299999999999999904697756955220125218205602694668250364707743850092732393284926021750173864436559237930586081048774924304384) (.f64 (.f64 2 y) (/.f64 x (-.f64 x y))) (if (<=.f64 x 2466278867083445/474284397516047136454946754595585670566993857190463750305618264096412179005177856) (.f64 (.f64 x 2) (/.f64 y (-.f64 x y))) (.f64 (.f64 2 y) (/.f64 x (-.f64 x y)))))
(if (<=.f64 y -5900000000000000087758399313034529554131290423024380506172301114229694023480223231795546103000209903855262112650982377766311522768731929535306088352050762477128263455471503358471665584802781960618357832865915141754041030729749462253568) (.f64 x -2) (if (<=.f64 y 80000000000000003728144573985655805472406864795950148913678436641494622505846903965821416977135656985682718127678839189225380933280551847308849767799411475246994410189385297751958976471604419066116778861724819422748396748800) (.f64 (.f64 2 y) (/.f64 x (-.f64 x y))) (.f64 x -2)))
(if (<=.f64 y -7500000000000000109730214230061547732275322408984912944589580903773472731883611619328) (.f64 x -2) (if (<=.f64 y -80000000000) (+.f64 y y) (if (<=.f64 y -3757668132438133/75153362648762663292463379097258784876021841565066235862633311089030688803667470190838367948312598497021919232) (.f64 x -2) (if (<=.f64 y 8652089692998945/23384026197294446691258957323460528314494920687616) (+.f64 y y) (*.f64 x -2)))))
(*.f64 x -2)

Compiler

Compiled 100 to 62 computations (38% saved)

soundness236.0ms (4.8%)

Algorithm

2×	egg-herbie

Rules

2122×	`rational.json-simplify-35`
2122×	`rational.json-simplify-35`
1274×	`rational.json-simplify-53`
1274×	`rational.json-simplify-53`
1036×	`rational.json-simplify-41`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	20	25
2	51	25
3	126	25
4	338	25
5	1039	25
6	3103	25
7	5185	25
8	7342	25
0	9	25
1	20	25
2	51	25
3	126	25
4	338	25
5	1039	25
6	3103	25
7	5185	25
8	7342	25

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 67 to 34 computations (49.3% saved)

end49.0ms (1%)

Compiler: Compiled 94 to 54 computations (42.6% saved)

Details

analyze96.0ms (2%)

sample1.9s (39%)

preprocess100.0ms (2%)

simplify93.0ms (1.9%)

eval1.0ms (0%)

prune2.0ms (0%)

localize8.0ms (0.2%)

series3.0ms (0.1%)

rewrite76.0ms (1.6%)

simplify197.0ms (4%)

localize8.0ms (0.2%)

series2.0ms (0%)

rewrite201.0ms (4.1%)

simplify113.0ms (2.3%)

eval501.0ms (10.3%)

prune155.0ms (3.2%)

localize3.0ms (0.1%)

localize8.0ms (0.2%)

series33.0ms (0.7%)

rewrite161.0ms (3.3%)

simplify163.0ms (3.3%)

localize4.0ms (0.1%)

eval71.0ms (1.5%)

prune67.0ms (1.4%)

localize7.0ms (0.1%)

series0.0ms (0%)

rewrite76.0ms (1.6%)

simplify115.0ms (2.4%)

eval73.0ms (1.5%)

prune24.0ms (0.5%)

regimes54.0ms (1.1%)

bsearch35.0ms (0.7%)

regimes29.0ms (0.6%)

bsearch109.0ms (2.2%)

regimes46.0ms (0.9%)

bsearch55.0ms (1.1%)

simplify5.0ms (0.1%)

soundness236.0ms (4.8%)

end49.0ms (1%)

Profiling