Details

analyze285.0ms (1.6%)

Algorithm

1×

Search

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

sample5.2s (29.1%)

Results

5.0s	8256×	body	256	valid
151.0ms	458×	body	256	infinite

Bogosity

preprocess12.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

30×	`rational_best-simplify-1`
8×	`rational_best-simplify-50`
8×	`rational_best-simplify-102`
4×	`rational_best-simplify-62`
4×	`rational_best-simplify-34`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	38
1	23	38
2	33	38
3	43	38
4	55	38
5	55	38
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify57.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

16×	`rational_best-simplify-1`
4×	`rational_best-simplify-50`
4×	`rational_best-simplify-102`
2×	`rational_best-simplify-62`
2×	`rational_best-simplify-34`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	15	19
2	20	19
3	25	19
4	31	19
5	31	19

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 18 to 11 computations (38.9% saved)

prune26.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.0b

Counts

3 → 2

Alt Table

Click to see full alt table

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

Compiler

Compiled 20 to 13 computations (35% saved)

localize224.0ms (1.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 20 to 7 computations (65% saved)

series35.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
28.0ms	y	@	-inf	(*.f64 x (-.f64 x y))
1.0ms	x	@	inf	(.f64 2 (.f64 x (-.f64 x y)))
1.0ms	y	@	0	(.f64 2 (.f64 x (-.f64 x y)))
1.0ms	x	@	0	(.f64 2 (.f64 x (-.f64 x y)))
1.0ms	y	@	inf	(*.f64 x (-.f64 x y))

rewrite560.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

836×	`rational_best-simplify-1`
706×	`rational_best-simplify-61`
618×	`rational_best-simplify-83`
596×	`rational_best-simplify-47`
528×	`rational_best-simplify-51`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	54	32
2	111	32
3	297	32
4	1060	32
5	7213	32

Stop Event

1×	node limit

Counts

2 → 159

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (-.f64 x y)) (.f64 x (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (.f64 2 (-.f64 x y))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 x (.f64 2 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (.f64 (-.f64 x y) 1/2)) (.f64 -3 (.f64 (-.f64 y x) (.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (.f64 (-.f64 x y) 1/2)) (.f64 -3/2 (.f64 x (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 -3 (.f64 (-.f64 y x) (.f64 x 1/2))) (.f64 x (.f64 (-.f64 x y) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 -3/2 (.f64 x (-.f64 y x))) (.f64 x (.f64 (-.f64 x y) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 x (-.f64 x y)) (.f64 x (-.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 x (.f64 2 (-.f64 x y))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 x (.f64 2 (-.f64 x y))) (+.f64 (.f64 x (-.f64 y x)) (.f64 x (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (.f64 x (.f64 (-.f64 x y) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 x (.f64 (-.f64 x y) 1/2)) (+.f64 (.f64 x (-.f64 y x)) (.f64 (-.f64 y x) (.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 x (.f64 (-.f64 x y) 1/2)) (.f64 -3 (.f64 x (.f64 (-.f64 x y) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 x (.f64 (-.f64 x y) 1/2)) (neg.f64 (.f64 -3 (.f64 (-.f64 y x) (.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 x (.f64 (-.f64 x y) 1/2)) (/.f64 (.f64 3 (.f64 x (-.f64 y x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 -3 (.f64 (-.f64 y x) (.f64 x 1/2))) (.f64 (-.f64 y x) (.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 -3/2 (.f64 x (-.f64 y x))) (.f64 (-.f64 y x) (.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (-.f64 x y)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x 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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 (.f64 x (.f64 (-.f64 x y) 1/2)) (.f64 x (.f64 (-.f64 x y) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (/.f64 (-.f64 x y) 4)) (+.f64 (.f64 x (/.f64 (-.f64 x y) 4)) (.f64 x (.f64 (-.f64 x y) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (/.f64 (-.f64 x y) 4)) (/.f64 (.f64 -3 (.f64 (-.f64 y x) (.f64 x 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (/.f64 (-.f64 x y) 4)) (/.f64 (.f64 (-.f64 x y) (.f64 x 3)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (/.f64 (-.f64 x y) 4)) (/.f64 (.f64 (.f64 x (-.f64 x y)) 6) 8))))) (#(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 (.f64 x (.f64 (-.f64 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Outputs

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

simplify1.7s (9.4%)

Algorithm

1×	egg-herbie

Rules

1298×	`rational_best-simplify-1`
1252×	`rational_best-simplify-63`
1122×	`rational_best-simplify-56`
922×	`rational_best-simplify-108`
738×	`rational_best-simplify-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	363	4591
1	893	4507
2	2452	4459
3	6836	4413

Stop Event

1×	node limit

Counts

207 → 218

Calls

Call 1

Inputs
(.f64 -2 (.f64 y x))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(*.f64 2 (pow.f64 x 2))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(*.f64 2 (pow.f64 x 2))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(*.f64 2 (pow.f64 x 2))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(.f64 -2 (.f64 y x))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(.f64 -2 (.f64 y x))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(.f64 -1 (.f64 y x))
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 y x)))
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 y x)))
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 y x)))
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 y x)))
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 y x)))
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 y x)))
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 y x)))
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 y x)))
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 y x)))
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 y x)))
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 y x)))
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 y x)))
(.f64 -1 (.f64 y x))
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 y x)))
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 y x)))
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 y x)))
(.f64 -1 (.f64 y x))
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 y x)))
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 y x)))
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 y x)))
(+.f64 (.f64 x (-.f64 x y)) (.f64 x (-.f64 x y)))
(+.f64 (.f64 x (.f64 2 (-.f64 x y))) 0)
(+.f64 0 (.f64 x (.f64 2 (-.f64 x y))))
(+.f64 (.f64 x (.f64 (-.f64 x y) 1/2)) (.f64 -3 (.f64 (-.f64 y x) (*.f64 x 1/2))))
(+.f64 (.f64 x (.f64 (-.f64 x y) 1/2)) (.f64 -3/2 (.f64 x (-.f64 y x))))
(+.f64 (.f64 -3 (.f64 (-.f64 y x) (.f64 x 1/2))) (.f64 x (*.f64 (-.f64 x y) 1/2)))
(+.f64 (.f64 -3/2 (.f64 x (-.f64 y x))) (.f64 x (.f64 (-.f64 x y) 1/2)))
(-.f64 (.f64 x (-.f64 x y)) (.f64 x (-.f64 y x)))
(-.f64 (.f64 x (.f64 2 (-.f64 x y))) 0)
(-.f64 (.f64 x (.f64 2 (-.f64 x y))) (+.f64 (.f64 x (-.f64 y x)) (.f64 x (-.f64 x y))))
(-.f64 0 (.f64 x (.f64 (-.f64 x y) -2)))
(-.f64 (.f64 x (.f64 (-.f64 x y) 1/2)) (+.f64 (.f64 x (-.f64 y x)) (.f64 (-.f64 y x) (*.f64 x 1/2))))
(-.f64 (.f64 x (.f64 (-.f64 x y) 1/2)) (.f64 -3 (.f64 x (*.f64 (-.f64 x y) 1/2))))
(-.f64 (.f64 x (.f64 (-.f64 x y) 1/2)) (neg.f64 (.f64 -3 (.f64 (-.f64 y x) (*.f64 x 1/2)))))
(-.f64 (.f64 x (.f64 (-.f64 x y) 1/2)) (/.f64 (.f64 3 (.f64 x (-.f64 y x))) 2))
(-.f64 (.f64 -3 (.f64 (-.f64 y x) (.f64 x 1/2))) (.f64 (-.f64 y x) (*.f64 x 1/2)))
(-.f64 (.f64 -3/2 (.f64 x (-.f64 y x))) (.f64 (-.f64 y x) (.f64 x 1/2)))
(/.f64 (*.f64 x (-.f64 x y)) 1/2)
(/.f64 (.f64 x (.f64 2 (-.f64 x y))) 1)
(/.f64 (.f64 x (.f64 (-.f64 x y) 4)) 2)
(/.f64 (*.f64 x (-.f64 y x)) -1/2)
(/.f64 (.f64 x (.f64 (-.f64 x y) -2)) -1)
(/.f64 (.f64 (.f64 x (-.f64 x y)) 8) 4)
(/.f64 (.f64 x (.f64 (-.f64 x y) 1/2)) 1/4)
(/.f64 (*.f64 (-.f64 x y) (/.f64 x -1/4)) -2)
(/.f64 (.f64 (-.f64 y x) (.f64 x 1/2)) -1/4)
(/.f64 (.f64 2 (.f64 (*.f64 x (-.f64 x y)) 8)) 8)
(/.f64 (neg.f64 (.f64 (.f64 x (-.f64 x y)) 8)) -4)
(/.f64 (+.f64 (.f64 (-.f64 x y) (/.f64 x -1/4)) (.f64 (-.f64 x y) (/.f64 x -1/4))) -4)
(/.f64 (+.f64 (.f64 2 (.f64 (.f64 x (-.f64 x y)) 8)) (.f64 2 (.f64 (.f64 x (-.f64 x y)) 8))) 16)
(/.f64 (neg.f64 (.f64 2 (.f64 (*.f64 x (-.f64 x y)) 8))) -8)
(/.f64 (.f64 (.f64 (-.f64 x y) 4) (*.f64 -2 (/.f64 x -1/4))) 16)
(/.f64 (.f64 (.f64 x 4) (.f64 2 (.f64 (-.f64 x y) 4))) 16)
(/.f64 (.f64 (.f64 x 4) (*.f64 (-.f64 y x) 4)) -8)
(/.f64 (.f64 (neg.f64 x) (.f64 (-.f64 x y) 4)) -2)
(/.f64 (.f64 (neg.f64 x) (.f64 2 (*.f64 (-.f64 x y) 4))) -4)
(/.f64 (.f64 (neg.f64 x) (+.f64 (.f64 2 (.f64 (-.f64 x y) 4)) (.f64 2 (*.f64 (-.f64 x y) 4)))) -8)
(/.f64 (.f64 (neg.f64 x) (+.f64 (neg.f64 (.f64 y 4)) (*.f64 (+.f64 x (-.f64 x y)) 4))) -4)
(/.f64 (.f64 (neg.f64 x) (+.f64 (+.f64 (/.f64 y -1/2) (.f64 x 4)) (/.f64 y -1/2))) -2)
(/.f64 (.f64 (neg.f64 x) (+.f64 (.f64 (+.f64 x (-.f64 x y)) 4) (neg.f64 (*.f64 y 4)))) -4)
(/.f64 (.f64 (neg.f64 x) (-.f64 (.f64 -2 (/.f64 x -1/4)) (*.f64 (+.f64 y y) 4))) -4)
(/.f64 (.f64 (neg.f64 x) (-.f64 (.f64 (+.f64 x (-.f64 x y)) 4) (*.f64 y 4))) -4)
(/.f64 (.f64 (-.f64 y x) (+.f64 (.f64 -2 (/.f64 x -1/4)) (*.f64 -2 (/.f64 x -1/4)))) -8)
(/.f64 (.f64 (.f64 x -2) (*.f64 2 (-.f64 x y))) -2)
(/.f64 (.f64 (.f64 x -2) (*.f64 (-.f64 x y) 4)) -4)
(/.f64 (.f64 (.f64 x -2) (.f64 2 (.f64 (-.f64 x y) 4))) -8)
(/.f64 (.f64 (.f64 x -2) (+.f64 (.f64 2 (.f64 (-.f64 x y) 4)) (.f64 2 (.f64 (-.f64 x y) 4)))) -16)
(/.f64 (.f64 (.f64 x -2) (+.f64 (neg.f64 (.f64 y 4)) (.f64 x 4))) -4)
(/.f64 (.f64 (.f64 x -2) (-.f64 (.f64 -2 (/.f64 x -1/4)) (.f64 (+.f64 y y) 4))) -8)
(/.f64 (.f64 (.f64 x -2) (-.f64 (.f64 -2 (/.f64 x -1/4)) (+.f64 (.f64 x 4) (*.f64 y 4)))) -4)
(/.f64 (.f64 (.f64 x -2) (-.f64 (neg.f64 (*.f64 y 4)) (/.f64 x -1/4))) -4)
(/.f64 (.f64 (.f64 x -2) (-.f64 (.f64 2 (+.f64 x y)) (.f64 y 4))) -2)
(/.f64 (.f64 (.f64 x -2) (-.f64 (+.f64 (.f64 x 4) (.f64 y 4)) (*.f64 (+.f64 y y) 4))) -4)
(/.f64 (.f64 (-.f64 x y) (neg.f64 (.f64 -2 (/.f64 x -1/4)))) -4)
(/.f64 (*.f64 (-.f64 x y) (+.f64 (/.f64 x -1/4) (/.f64 x -1/4))) -4)
(/.f64 (.f64 (-.f64 x y) (.f64 -2 (*.f64 x 4))) -4)
(/.f64 (.f64 x (+.f64 (.f64 (-.f64 y x) 4) (*.f64 (-.f64 y x) 4))) -4)
(/.f64 (.f64 x (-.f64 (.f64 (+.f64 y y) 4) (*.f64 -2 (/.f64 x -1/4)))) -4)
(/.f64 (.f64 x (.f64 (*.f64 (-.f64 x y) 4) -2)) -4)
(/.f64 (.f64 (.f64 (-.f64 x y) -2) (+.f64 (.f64 -2 (/.f64 x -1/4)) (.f64 -2 (/.f64 x -1/4)))) -16)
(/.f64 (.f64 (.f64 (-.f64 x y) -2) (+.f64 (*.f64 2 (+.f64 x y)) (/.f64 y -1/2))) -2)
(/.f64 (.f64 (.f64 (-.f64 x y) -2) (+.f64 (+.f64 (.f64 x 4) (.f64 y 4)) (neg.f64 (*.f64 y 4)))) -4)
(/.f64 (.f64 (/.f64 (-.f64 x y) -2) (+.f64 (.f64 -2 (/.f64 x -1/4)) (*.f64 -2 (/.f64 x -1/4)))) -4)
(/.f64 (.f64 (.f64 2 (-.f64 x y)) (*.f64 x -2)) -2)
(/.f64 (.f64 (.f64 2 (-.f64 x y)) (/.f64 x -1/4)) -4)
(/.f64 (.f64 (.f64 2 (-.f64 x y)) (neg.f64 (*.f64 -2 (/.f64 x -1/4)))) -8)
(/.f64 (.f64 (.f64 2 (-.f64 x y)) (+.f64 y (-.f64 x y))) 1)
(/.f64 (.f64 (.f64 2 (-.f64 x y)) (-.f64 (+.f64 y y) (*.f64 2 (+.f64 x y)))) -2)
(/.f64 (.f64 (.f64 2 (-.f64 x y)) (+.f64 (/.f64 y -1/2) (*.f64 (-.f64 x y) -2))) -2)
(/.f64 (.f64 (.f64 2 (-.f64 x y)) (+.f64 (neg.f64 (.f64 y 4)) (.f64 (-.f64 y x) 4))) -4)
(/.f64 (.f64 (.f64 2 (-.f64 x y)) (+.f64 (/.f64 x -1/4) (/.f64 x -1/4))) -8)
(/.f64 (.f64 (.f64 2 (-.f64 x y)) (-.f64 (.f64 y 4) (+.f64 (.f64 x 4) (*.f64 y 4)))) -4)
(/.f64 (.f64 (+.f64 x x) (neg.f64 (.f64 2 (*.f64 (-.f64 x y) 4)))) -8)
(/.f64 (.f64 (+.f64 x x) (+.f64 (/.f64 x -1/4) (.f64 y 4))) -4)
(/.f64 (.f64 (+.f64 x x) (+.f64 (.f64 (-.f64 y x) 4) (*.f64 (-.f64 y x) 4))) -8)
(/.f64 (.f64 (+.f64 x x) (-.f64 (.f64 (+.f64 y y) 4) (*.f64 -2 (/.f64 x -1/4)))) -8)
(/.f64 (.f64 (+.f64 x x) (-.f64 (/.f64 x -1/4) (neg.f64 (.f64 y 4)))) -4)
(/.f64 (.f64 (+.f64 x x) (-.f64 (.f64 (+.f64 y y) 4) (+.f64 (.f64 x 4) (.f64 y 4)))) -4)
(/.f64 (.f64 (+.f64 x x) (-.f64 (.f64 2 (+.f64 x y)) (*.f64 x 4))) -2)
(/.f64 (.f64 (+.f64 x x) (-.f64 (+.f64 (.f64 x 4) (.f64 y 4)) (.f64 -2 (/.f64 x -1/4)))) -4)
(/.f64 (.f64 (.f64 x 1/2) (+.f64 (.f64 (-.f64 y x) 4) (.f64 (-.f64 y x) 4))) -2)
(/.f64 (.f64 (.f64 x 1/2) (-.f64 (.f64 (+.f64 y y) 4) (.f64 -2 (/.f64 x -1/4)))) -2)
(pow.f64 (.f64 x (.f64 2 (-.f64 x y))) 1)
(neg.f64 (.f64 x (.f64 (-.f64 x y) -2)))
(+.f64 (*.f64 x (-.f64 x y)) 0)
(+.f64 0 (*.f64 x (-.f64 x y)))
(+.f64 (.f64 x (.f64 (-.f64 x y) 1/2)) (.f64 x (.f64 (-.f64 x y) 1/2)))
(+.f64 (.f64 x (/.f64 (-.f64 x y) 4)) (+.f64 (.f64 x (/.f64 (-.f64 x y) 4)) (.f64 x (.f64 (-.f64 x y) 1/2))))
(+.f64 (.f64 x (/.f64 (-.f64 x y) 4)) (/.f64 (.f64 -3 (.f64 (-.f64 y x) (.f64 x 1/2))) 2))
(+.f64 (.f64 x (/.f64 (-.f64 x y) 4)) (/.f64 (.f64 (-.f64 x y) (*.f64 x 3)) 4))
(+.f64 (.f64 x (/.f64 (-.f64 x y) 4)) (/.f64 (.f64 (*.f64 x (-.f64 x y)) 6) 8))
(-.f64 (*.f64 x (-.f64 x y)) 0)
(-.f64 0 (*.f64 x (-.f64 y x)))
(-.f64 (.f64 x (.f64 (-.f64 x y) 1/2)) (.f64 (-.f64 y x) (.f64 x 1/2)))
(-.f64 (.f64 x (/.f64 (-.f64 x y) 4)) (/.f64 (.f64 3 (*.f64 x (-.f64 y x))) 4))
(-.f64 (+.f64 (.f64 x (/.f64 (-.f64 x y) 4)) (.f64 x (.f64 (-.f64 x y) 1/2))) (/.f64 (.f64 x (-.f64 x y)) -4))
(-.f64 (/.f64 (.f64 -3 (.f64 (-.f64 y x) (.f64 x 1/2))) 2) (/.f64 (.f64 (-.f64 y x) (*.f64 x 1/2)) 2))
(-.f64 (/.f64 (.f64 (-.f64 x y) (.f64 x 3)) 4) (/.f64 (*.f64 x (-.f64 x y)) -4))
(-.f64 (/.f64 (.f64 (.f64 x (-.f64 x y)) 6) 8) (/.f64 (.f64 x (.f64 (-.f64 x y) -2)) 8))
(/.f64 (*.f64 x (-.f64 x y)) 1)
(/.f64 (.f64 x (.f64 2 (-.f64 x y))) 2)
(/.f64 (.f64 x (.f64 (-.f64 x y) 4)) 4)
(/.f64 (*.f64 x (-.f64 y x)) -1)
(/.f64 (.f64 x (.f64 (-.f64 x y) -2)) -2)
(/.f64 (.f64 (.f64 x (-.f64 x y)) 8) 8)
(/.f64 (.f64 x (.f64 (-.f64 x y) 1/2)) 1/2)
(/.f64 (*.f64 (-.f64 x y) (/.f64 x -1/4)) -4)
(/.f64 (.f64 (-.f64 y x) (.f64 x 1/2)) -1/2)
(/.f64 (.f64 2 (.f64 (*.f64 x (-.f64 x y)) 8)) 16)
(/.f64 (neg.f64 (.f64 (.f64 x (-.f64 x y)) 8)) -8)
(/.f64 (+.f64 (.f64 (-.f64 x y) (/.f64 x -1/4)) (.f64 (-.f64 x y) (/.f64 x -1/4))) -8)
(/.f64 (+.f64 (.f64 2 (.f64 (.f64 x (-.f64 x y)) 8)) (.f64 2 (.f64 (.f64 x (-.f64 x y)) 8))) 32)
(/.f64 (neg.f64 (.f64 2 (.f64 (*.f64 x (-.f64 x y)) 8))) -16)
(/.f64 (.f64 (.f64 -2 (/.f64 x -1/4)) (.f64 2 (.f64 (-.f64 x y) 4))) 64)
(/.f64 (.f64 (/.f64 x -1/4) (.f64 (-.f64 y x) 4)) 16)
(/.f64 (.f64 (neg.f64 x) (.f64 (-.f64 x y) 4)) -4)
(/.f64 (.f64 (neg.f64 x) (.f64 2 (*.f64 (-.f64 x y) 4))) -8)
(/.f64 (.f64 (neg.f64 x) (+.f64 (.f64 2 (.f64 (-.f64 x y) 4)) (.f64 2 (*.f64 (-.f64 x y) 4)))) -16)
(/.f64 (.f64 (neg.f64 x) (-.f64 (.f64 -2 (/.f64 x -1/4)) (*.f64 (+.f64 y y) 4))) -8)
(/.f64 (.f64 (-.f64 y x) (+.f64 (.f64 -2 (/.f64 x -1/4)) (*.f64 -2 (/.f64 x -1/4)))) -16)
(/.f64 (.f64 (.f64 x -2) (*.f64 2 (-.f64 x y))) -4)
(/.f64 (.f64 (.f64 x -2) (*.f64 (-.f64 x y) 4)) -8)
(/.f64 (.f64 (.f64 x -2) (.f64 2 (.f64 (-.f64 x y) 4))) -16)
(/.f64 (.f64 (-.f64 x y) (neg.f64 (.f64 -2 (/.f64 x -1/4)))) -8)
(/.f64 (*.f64 (-.f64 x y) (+.f64 (/.f64 x -1/4) (/.f64 x -1/4))) -8)
(/.f64 (.f64 x (+.f64 (.f64 (-.f64 y x) 4) (*.f64 (-.f64 y x) 4))) -8)
(/.f64 (.f64 x (-.f64 (.f64 (+.f64 y y) 4) (*.f64 -2 (/.f64 x -1/4)))) -8)
(/.f64 (.f64 (/.f64 (-.f64 x y) -2) (+.f64 (.f64 -2 (/.f64 x -1/4)) (*.f64 -2 (/.f64 x -1/4)))) -8)
(/.f64 (.f64 (.f64 2 (-.f64 x y)) (*.f64 x -2)) -4)
(/.f64 (.f64 (.f64 2 (-.f64 x y)) (/.f64 x -1/4)) -8)
(/.f64 (.f64 (.f64 x 1/2) (+.f64 (.f64 (-.f64 y x) 4) (.f64 (-.f64 y x) 4))) -4)
(/.f64 (.f64 (.f64 x 1/2) (-.f64 (.f64 (+.f64 y y) 4) (.f64 -2 (/.f64 x -1/4)))) -4)
(/.f64 (.f64 (.f64 x -2) (*.f64 (-.f64 x y) 1/2)) -1)
(/.f64 (.f64 (neg.f64 x) (+.f64 (neg.f64 (.f64 y 4)) (*.f64 x 4))) -4)
(/.f64 (.f64 (neg.f64 x) (-.f64 (.f64 -2 (/.f64 x -1/4)) (+.f64 (.f64 x 4) (.f64 y 4)))) -4)
(/.f64 (.f64 (neg.f64 x) (-.f64 (neg.f64 (.f64 y 4)) (/.f64 x -1/4))) -4)
(/.f64 (.f64 (neg.f64 x) (-.f64 (.f64 2 (+.f64 x y)) (*.f64 y 4))) -2)
(/.f64 (.f64 (neg.f64 x) (-.f64 (+.f64 (.f64 x 4) (.f64 y 4)) (.f64 (+.f64 y y) 4))) -4)
(/.f64 (.f64 (-.f64 y x) (+.f64 (.f64 2 (+.f64 x y)) (/.f64 y -1/2))) -2)
(/.f64 (.f64 (-.f64 y x) (+.f64 (+.f64 (.f64 x 4) (.f64 y 4)) (neg.f64 (.f64 y 4)))) -4)
(/.f64 (*.f64 (-.f64 x y) (+.f64 y (-.f64 x y))) 1)
(/.f64 (.f64 (-.f64 x y) (-.f64 (+.f64 y y) (.f64 2 (+.f64 x y)))) -2)
(/.f64 (.f64 (-.f64 x y) (+.f64 (/.f64 y -1/2) (.f64 (-.f64 x y) -2))) -2)
(/.f64 (.f64 (-.f64 x y) (+.f64 (neg.f64 (.f64 y 4)) (*.f64 (-.f64 y x) 4))) -4)
(/.f64 (.f64 (-.f64 x y) (-.f64 (.f64 y 4) (+.f64 (.f64 x 4) (.f64 y 4)))) -4)
(/.f64 (.f64 x (neg.f64 (.f64 2 (*.f64 (-.f64 x y) 4)))) -8)
(/.f64 (.f64 x (+.f64 (/.f64 x -1/4) (.f64 y 4))) -4)
(/.f64 (.f64 x (-.f64 (/.f64 x -1/4) (neg.f64 (.f64 y 4)))) -4)
(/.f64 (.f64 x (-.f64 (.f64 (+.f64 y y) 4) (+.f64 (.f64 x 4) (.f64 y 4)))) -4)
(/.f64 (.f64 x (-.f64 (.f64 2 (+.f64 x y)) (*.f64 x 4))) -2)
(/.f64 (.f64 x (-.f64 (+.f64 (.f64 x 4) (.f64 y 4)) (.f64 -2 (/.f64 x -1/4)))) -4)
(/.f64 (.f64 (.f64 x 1/2) (.f64 (.f64 (-.f64 x y) 4) -2)) -4)
(/.f64 (.f64 (.f64 (-.f64 x y) 1/2) (*.f64 x -2)) -1)
(/.f64 (.f64 (.f64 (-.f64 x y) 1/2) (/.f64 x -1/4)) -2)
(/.f64 (.f64 (.f64 (-.f64 x y) 1/2) (neg.f64 (*.f64 -2 (/.f64 x -1/4)))) -4)
(/.f64 (.f64 (.f64 (-.f64 x y) 1/2) (+.f64 (/.f64 x -1/4) (/.f64 x -1/4))) -4)
(/.f64 (.f64 (.f64 (-.f64 x y) 1/2) (.f64 -2 (.f64 x 4))) -4)
(pow.f64 (*.f64 x (-.f64 x y)) 1)
(neg.f64 (*.f64 x (-.f64 y x)))

Outputs
(.f64 -2 (.f64 y x))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 -2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 -2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 -2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(*.f64 2 (pow.f64 x 2))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 -2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 -2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 -2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(*.f64 2 (pow.f64 x 2))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 -2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 -2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 -2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(*.f64 2 (pow.f64 x 2))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 -2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 -2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 -2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(.f64 -2 (.f64 y x))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 -2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 -2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 -2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(.f64 -2 (.f64 y x))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 -2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 -2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 -2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(.f64 -1 (.f64 y x))
(.f64 x (.f64 y -1))
(*.f64 y (neg.f64 x))
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 y x)))
(+.f64 (pow.f64 x 2) (.f64 x (.f64 y -1)))
(+.f64 (pow.f64 x 2) (*.f64 y (neg.f64 x)))
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 y x)))
(+.f64 (pow.f64 x 2) (.f64 x (.f64 y -1)))
(+.f64 (pow.f64 x 2) (*.f64 y (neg.f64 x)))
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 y x)))
(+.f64 (pow.f64 x 2) (.f64 x (.f64 y -1)))
(+.f64 (pow.f64 x 2) (*.f64 y (neg.f64 x)))
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 y x)))
(+.f64 (pow.f64 x 2) (.f64 x (.f64 y -1)))
(+.f64 (pow.f64 x 2) (*.f64 y (neg.f64 x)))
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 y x)))
(+.f64 (pow.f64 x 2) (.f64 x (.f64 y -1)))
(+.f64 (pow.f64 x 2) (*.f64 y (neg.f64 x)))
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 y x)))
(+.f64 (pow.f64 x 2) (.f64 x (.f64 y -1)))
(+.f64 (pow.f64 x 2) (*.f64 y (neg.f64 x)))
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 y x)))
(+.f64 (pow.f64 x 2) (.f64 x (.f64 y -1)))
(+.f64 (pow.f64 x 2) (*.f64 y (neg.f64 x)))
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 y x)))
(+.f64 (pow.f64 x 2) (.f64 x (.f64 y -1)))
(+.f64 (pow.f64 x 2) (*.f64 y (neg.f64 x)))
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 y x)))
(+.f64 (pow.f64 x 2) (.f64 x (.f64 y -1)))
(+.f64 (pow.f64 x 2) (*.f64 y (neg.f64 x)))
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 y x)))
(+.f64 (pow.f64 x 2) (.f64 x (.f64 y -1)))
(+.f64 (pow.f64 x 2) (*.f64 y (neg.f64 x)))
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 y x)))
(+.f64 (pow.f64 x 2) (.f64 x (.f64 y -1)))
(+.f64 (pow.f64 x 2) (*.f64 y (neg.f64 x)))
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 y x)))
(+.f64 (pow.f64 x 2) (.f64 x (.f64 y -1)))
(+.f64 (pow.f64 x 2) (*.f64 y (neg.f64 x)))
(.f64 -1 (.f64 y x))
(.f64 x (.f64 y -1))
(*.f64 y (neg.f64 x))
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 y x)))
(+.f64 (pow.f64 x 2) (.f64 x (.f64 y -1)))
(+.f64 (pow.f64 x 2) (*.f64 y (neg.f64 x)))
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 y x)))
(+.f64 (pow.f64 x 2) (.f64 x (.f64 y -1)))
(+.f64 (pow.f64 x 2) (*.f64 y (neg.f64 x)))
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 y x)))
(+.f64 (pow.f64 x 2) (.f64 x (.f64 y -1)))
(+.f64 (pow.f64 x 2) (*.f64 y (neg.f64 x)))
(.f64 -1 (.f64 y x))
(.f64 x (.f64 y -1))
(*.f64 y (neg.f64 x))
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 y x)))
(+.f64 (pow.f64 x 2) (.f64 x (.f64 y -1)))
(+.f64 (pow.f64 x 2) (*.f64 y (neg.f64 x)))
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 y x)))
(+.f64 (pow.f64 x 2) (.f64 x (.f64 y -1)))
(+.f64 (pow.f64 x 2) (*.f64 y (neg.f64 x)))
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 y x)))
(+.f64 (pow.f64 x 2) (.f64 x (.f64 y -1)))
(+.f64 (pow.f64 x 2) (*.f64 y (neg.f64 x)))
(+.f64 (.f64 x (-.f64 x y)) (.f64 x (-.f64 x y)))
(*.f64 (-.f64 x y) (+.f64 x x))
(.f64 -2 (.f64 x (-.f64 y x)))
(+.f64 (.f64 x (.f64 2 (-.f64 x y))) 0)
(*.f64 (-.f64 x y) (+.f64 x x))
(.f64 -2 (.f64 x (-.f64 y x)))
(+.f64 0 (.f64 x (.f64 2 (-.f64 x y))))
(*.f64 (-.f64 x y) (+.f64 x x))
(.f64 -2 (.f64 x (-.f64 y x)))
(+.f64 (.f64 x (.f64 (-.f64 x y) 1/2)) (.f64 -3 (.f64 (-.f64 y x) (*.f64 x 1/2))))
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(-.f64 0 (*.f64 x (-.f64 y x)))
(*.f64 x (-.f64 x y))
(-.f64 (.f64 x (.f64 (-.f64 x y) 1/2)) (.f64 (-.f64 y x) (.f64 x 1/2)))
(*.f64 x (-.f64 x y))
(-.f64 (.f64 x (/.f64 (-.f64 x y) 4)) (/.f64 (.f64 3 (*.f64 x (-.f64 y x))) 4))
(-.f64 (.f64 x (/.f64 (-.f64 x y) 4)) (/.f64 (.f64 (-.f64 y x) (*.f64 x 3)) 4))
(-.f64 (.f64 (-.f64 x y) (/.f64 x 4)) (/.f64 (.f64 (-.f64 y x) (*.f64 x 3)) 4))
(-.f64 (+.f64 (.f64 x (/.f64 (-.f64 x y) 4)) (.f64 x (.f64 (-.f64 x y) 1/2))) (/.f64 (.f64 x (-.f64 x y)) -4))
(-.f64 (+.f64 (.f64 x (.f64 (-.f64 x y) 1/2)) (.f64 x (/.f64 (-.f64 x y) 4))) (/.f64 (.f64 x (-.f64 x y)) -4))
(-.f64 (.f64 x (+.f64 (.f64 (-.f64 x y) 1/2) (/.f64 (-.f64 x y) 4))) (/.f64 (*.f64 x (-.f64 x y)) -4))
(-.f64 (.f64 (-.f64 x y) (/.f64 x 4)) (.f64 3 (/.f64 (*.f64 x (-.f64 x y)) -4)))
(-.f64 (/.f64 (.f64 -3 (.f64 (-.f64 y x) (.f64 x 1/2))) 2) (/.f64 (.f64 (-.f64 y x) (*.f64 x 1/2)) 2))
(*.f64 x (-.f64 x y))
(-.f64 (/.f64 (.f64 (-.f64 x y) (.f64 x 3)) 4) (/.f64 (*.f64 x (-.f64 x y)) -4))
(*.f64 x (-.f64 x y))
(-.f64 (/.f64 (.f64 (.f64 x (-.f64 x y)) 6) 8) (/.f64 (.f64 x (.f64 (-.f64 x y) -2)) 8))
(*.f64 x (-.f64 x y))
(/.f64 (*.f64 x (-.f64 x y)) 1)
(*.f64 x (-.f64 x y))
(/.f64 (.f64 x (.f64 2 (-.f64 x y))) 2)
(*.f64 x (-.f64 x y))
(/.f64 (.f64 x (.f64 (-.f64 x y) 4)) 4)
(*.f64 x (-.f64 x y))
(/.f64 (*.f64 x (-.f64 y x)) -1)
(*.f64 x (-.f64 x y))
(/.f64 (.f64 x (.f64 (-.f64 x y) -2)) -2)
(*.f64 x (-.f64 x y))
(/.f64 (.f64 (.f64 x (-.f64 x y)) 8) 8)
(*.f64 x (-.f64 x y))
(/.f64 (.f64 x (.f64 (-.f64 x y) 1/2)) 1/2)
(*.f64 x (-.f64 x y))
(/.f64 (*.f64 (-.f64 x y) (/.f64 x -1/4)) -4)
(*.f64 x (-.f64 x y))
(/.f64 (.f64 (-.f64 y x) (.f64 x 1/2)) -1/2)
(*.f64 x (-.f64 x y))
(/.f64 (.f64 2 (.f64 (*.f64 x (-.f64 x y)) 8)) 16)
(*.f64 x (-.f64 x y))
(/.f64 (neg.f64 (.f64 (.f64 x (-.f64 x y)) 8)) -8)
(*.f64 x (-.f64 x y))
(/.f64 (+.f64 (.f64 (-.f64 x y) (/.f64 x -1/4)) (.f64 (-.f64 x y) (/.f64 x -1/4))) -8)
(*.f64 x (-.f64 x y))
(/.f64 (+.f64 (.f64 2 (.f64 (.f64 x (-.f64 x y)) 8)) (.f64 2 (.f64 (.f64 x (-.f64 x y)) 8))) 32)
(*.f64 x (-.f64 x y))
(/.f64 (neg.f64 (.f64 2 (.f64 (*.f64 x (-.f64 x y)) 8))) -16)
(*.f64 x (-.f64 x y))
(/.f64 (.f64 (.f64 -2 (/.f64 x -1/4)) (.f64 2 (.f64 (-.f64 x y) 4))) 64)
(*.f64 x (-.f64 x y))
(/.f64 (.f64 (/.f64 x -1/4) (.f64 (-.f64 y x) 4)) 16)
(*.f64 x (-.f64 x y))
(/.f64 (.f64 (neg.f64 x) (.f64 (-.f64 x y) 4)) -4)
(*.f64 x (-.f64 x y))
(/.f64 (.f64 (neg.f64 x) (.f64 2 (*.f64 (-.f64 x y) 4))) -8)
(*.f64 x (-.f64 x y))
(/.f64 (.f64 (neg.f64 x) (+.f64 (.f64 2 (.f64 (-.f64 x y) 4)) (.f64 2 (*.f64 (-.f64 x y) 4)))) -16)
(*.f64 x (-.f64 x y))
(/.f64 (.f64 (neg.f64 x) (-.f64 (.f64 -2 (/.f64 x -1/4)) (*.f64 (+.f64 y y) 4))) -8)
(/.f64 (.f64 (neg.f64 x) (-.f64 (.f64 x 8) (*.f64 4 (+.f64 y y)))) -8)
(/.f64 (.f64 (neg.f64 x) (-.f64 (.f64 x 8) (*.f64 y 8))) -8)
(/.f64 (.f64 x (neg.f64 (-.f64 (.f64 x 8) (*.f64 y 8)))) -8)
(/.f64 (.f64 (-.f64 y x) (+.f64 (.f64 -2 (/.f64 x -1/4)) (*.f64 -2 (/.f64 x -1/4)))) -16)
(*.f64 x (-.f64 x y))
(/.f64 (.f64 (.f64 x -2) (*.f64 2 (-.f64 x y))) -4)
(*.f64 x (-.f64 x y))
(/.f64 (.f64 (.f64 x -2) (*.f64 (-.f64 x y) 4)) -8)
(*.f64 x (-.f64 x y))
(/.f64 (.f64 (.f64 x -2) (.f64 2 (.f64 (-.f64 x y) 4))) -16)
(*.f64 x (-.f64 x y))
(/.f64 (.f64 (-.f64 x y) (neg.f64 (.f64 -2 (/.f64 x -1/4)))) -8)
(*.f64 x (-.f64 x y))
(/.f64 (*.f64 (-.f64 x y) (+.f64 (/.f64 x -1/4) (/.f64 x -1/4))) -8)
(*.f64 x (-.f64 x y))
(/.f64 (.f64 x (+.f64 (.f64 (-.f64 y x) 4) (*.f64 (-.f64 y x) 4))) -8)
(*.f64 x (-.f64 x y))
(/.f64 (.f64 x (-.f64 (.f64 (+.f64 y y) 4) (*.f64 -2 (/.f64 x -1/4)))) -8)
(/.f64 (.f64 x (-.f64 (.f64 4 (+.f64 y y)) (*.f64 x 8))) -8)
(/.f64 (.f64 x (-.f64 (.f64 y 8) (*.f64 x 8))) -8)
(/.f64 (.f64 (/.f64 (-.f64 x y) -2) (+.f64 (.f64 -2 (/.f64 x -1/4)) (*.f64 -2 (/.f64 x -1/4)))) -8)
(*.f64 x (-.f64 x y))
(/.f64 (.f64 (.f64 2 (-.f64 x y)) (*.f64 x -2)) -4)
(*.f64 x (-.f64 x y))
(/.f64 (.f64 (.f64 2 (-.f64 x y)) (/.f64 x -1/4)) -8)
(*.f64 x (-.f64 x y))
(/.f64 (.f64 (.f64 x 1/2) (+.f64 (.f64 (-.f64 y x) 4) (.f64 (-.f64 y x) 4))) -4)
(*.f64 x (-.f64 x y))
(/.f64 (.f64 (.f64 x 1/2) (-.f64 (.f64 (+.f64 y y) 4) (.f64 -2 (/.f64 x -1/4)))) -4)
(/.f64 (.f64 x (-.f64 (.f64 4 (+.f64 y y)) (*.f64 x 8))) -8)
(/.f64 (.f64 x (-.f64 (.f64 y 8) (*.f64 x 8))) -8)
(/.f64 (.f64 (.f64 x -2) (*.f64 (-.f64 x y) 1/2)) -1)
(*.f64 x (-.f64 x y))
(/.f64 (.f64 (neg.f64 x) (+.f64 (neg.f64 (.f64 y 4)) (*.f64 x 4))) -4)
(*.f64 x (-.f64 x y))
(/.f64 (.f64 (neg.f64 x) (-.f64 (.f64 -2 (/.f64 x -1/4)) (+.f64 (.f64 x 4) (.f64 y 4)))) -4)
(*.f64 x (-.f64 x y))
(/.f64 (.f64 (neg.f64 x) (-.f64 (neg.f64 (.f64 y 4)) (/.f64 x -1/4))) -4)
(*.f64 x (-.f64 x y))
(/.f64 (.f64 (neg.f64 x) (-.f64 (.f64 2 (+.f64 x y)) (*.f64 y 4))) -2)
(/.f64 (.f64 (neg.f64 x) (-.f64 (.f64 2 (+.f64 y x)) (*.f64 y 4))) -2)
(/.f64 (.f64 x (neg.f64 (-.f64 (.f64 2 (+.f64 y x)) (*.f64 y 4)))) -2)
(/.f64 (*.f64 x (-.f64 (/.f64 (+.f64 y x) -1/2) (/.f64 y -1/4))) -2)
(/.f64 (.f64 (neg.f64 x) (-.f64 (+.f64 (.f64 x 4) (.f64 y 4)) (.f64 (+.f64 y y) 4))) -4)
(*.f64 x (-.f64 x y))
(/.f64 (.f64 (-.f64 y x) (+.f64 (.f64 2 (+.f64 x y)) (/.f64 y -1/2))) -2)
(/.f64 (.f64 (-.f64 y x) (+.f64 (/.f64 y -1/2) (.f64 2 (+.f64 y x)))) -2)
(/.f64 (.f64 (-.f64 y x) (+.f64 (+.f64 (.f64 x 4) (.f64 y 4)) (neg.f64 (.f64 y 4)))) -4)
(*.f64 x (-.f64 x y))
(/.f64 (*.f64 (-.f64 x y) (+.f64 y (-.f64 x y))) 1)
(*.f64 (-.f64 x y) (+.f64 y (-.f64 x y)))
(/.f64 (.f64 (-.f64 x y) (-.f64 (+.f64 y y) (.f64 2 (+.f64 x y)))) -2)
(/.f64 (.f64 (-.f64 x y) (-.f64 (+.f64 y y) (.f64 2 (+.f64 y x)))) -2)
(/.f64 (.f64 (-.f64 x y) (+.f64 (/.f64 y -1/2) (.f64 (-.f64 x y) -2))) -2)
(/.f64 (.f64 (-.f64 x y) (+.f64 (.f64 -2 (-.f64 x y)) (/.f64 y -1/2))) -2)
(/.f64 (.f64 (-.f64 x y) (+.f64 (neg.f64 (.f64 y 4)) (*.f64 (-.f64 y x) 4))) -4)
(*.f64 x (-.f64 x y))
(/.f64 (.f64 (-.f64 x y) (-.f64 (.f64 y 4) (+.f64 (.f64 x 4) (.f64 y 4)))) -4)
(*.f64 x (-.f64 x y))
(/.f64 (.f64 x (neg.f64 (.f64 2 (*.f64 (-.f64 x y) 4)))) -8)
(*.f64 x (-.f64 x y))
(/.f64 (.f64 x (+.f64 (/.f64 x -1/4) (.f64 y 4))) -4)
(*.f64 x (-.f64 x y))
(/.f64 (.f64 x (-.f64 (/.f64 x -1/4) (neg.f64 (.f64 y 4)))) -4)
(*.f64 x (-.f64 x y))
(/.f64 (.f64 x (-.f64 (.f64 (+.f64 y y) 4) (+.f64 (.f64 x 4) (.f64 y 4)))) -4)
(*.f64 x (-.f64 x y))
(/.f64 (.f64 x (-.f64 (.f64 2 (+.f64 x y)) (*.f64 x 4))) -2)
(/.f64 (.f64 x (-.f64 (.f64 2 (+.f64 y x)) (*.f64 x 4))) -2)
(/.f64 (.f64 x (-.f64 (+.f64 (.f64 x 4) (.f64 y 4)) (.f64 -2 (/.f64 x -1/4)))) -4)
(*.f64 x (-.f64 x y))
(/.f64 (.f64 (.f64 x 1/2) (.f64 (.f64 (-.f64 x y) 4) -2)) -4)
(*.f64 x (-.f64 x y))
(/.f64 (.f64 (.f64 (-.f64 x y) 1/2) (*.f64 x -2)) -1)
(*.f64 x (-.f64 x y))
(/.f64 (.f64 (.f64 (-.f64 x y) 1/2) (/.f64 x -1/4)) -2)
(*.f64 x (-.f64 x y))
(/.f64 (.f64 (.f64 (-.f64 x y) 1/2) (neg.f64 (*.f64 -2 (/.f64 x -1/4)))) -4)
(*.f64 x (-.f64 x y))
(/.f64 (.f64 (.f64 (-.f64 x y) 1/2) (+.f64 (/.f64 x -1/4) (/.f64 x -1/4))) -4)
(*.f64 x (-.f64 x y))
(/.f64 (.f64 (.f64 (-.f64 x y) 1/2) (.f64 -2 (.f64 x 4))) -4)
(*.f64 x (-.f64 x y))
(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))

localize59.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 27 to 8 computations (70.4% saved)

series5.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(.f64 2 (-.f64 (.f64 x x) (*.f64 x y)))
1.0ms	x	@	0	(.f64 2 (-.f64 (.f64 x x) (*.f64 x y)))
1.0ms	y	@	0	(.f64 2 (-.f64 (.f64 x x) (*.f64 x y)))
1.0ms	y	@	inf	(.f64 2 (-.f64 (.f64 x x) (*.f64 x y)))
1.0ms	x	@	-inf	(.f64 2 (-.f64 (.f64 x x) (*.f64 x y)))

rewrite585.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

888×	`rational_best-simplify-51`
886×	`rational_best-simplify-48`
876×	`rational_best-simplify-52`
802×	`rational_best-simplify-57`
680×	`rational_best-simplify-63`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	62	32
2	138	32
3	400	32
4	1612	32

Stop Event

1×	node limit

Counts

2 → 204

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x x) (.f64 x (+.f64 x (.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (-.f64 x y)) (.f64 x (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x (-.f64 y x)) -2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (.f64 x (-.f64 y x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (-.f64 y x)) (.f64 (-.f64 x y) (.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (neg.f64 y)) (.f64 x (+.f64 x (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (neg.f64 y)) (neg.f64 (.f64 x (+.f64 y (.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 2 (.f64 x x)) (.f64 (.f64 x y) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (+.f64 x (-.f64 x y))) (.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (/.f64 (-.f64 y x) -2)) (/.f64 (.f64 (-.f64 x y) (.f64 x 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 (-.f64 x y) (.f64 x 3)) 2) (.f64 x (/.f64 (-.f64 y x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (-.f64 (+.f64 x x) (-.f64 y x))) (neg.f64 (.f64 x (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (+.f64 x (.f64 y -2))) (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (-.f64 x y) (.f64 x 3)) (.f64 x (-.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x y) -2) (.f64 2 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 x x) (/.f64 (.f64 x y) -2)) (/.f64 (+.f64 (.f64 (.f64 x (-.f64 y x)) -2) (.f64 x (neg.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 x (-.f64 x y)) (.f64 x y)) (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 2 (.f64 x x)) (/.f64 (.f64 x y) 2)) (neg.f64 (/.f64 (.f64 x (.f64 y 3)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 x (-.f64 x y)) (.f64 x (+.f64 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Outputs

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

simplify1.0s (5.8%)

Algorithm

1×	egg-herbie

Rules

1124×	`rational_best-simplify-50`
850×	`rational_best-simplify-1`
792×	`rational_best-simplify-63`
694×	`rational_best-simplify-52`
672×	`rational_best-simplify-47`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	441	8094
1	1104	7040
2	2659	5950

Stop Event

1×	node limit

Counts

252 → 301

Calls

Call 1

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

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

eval1.3s (7.4%)

Compiler: Compiled 7966 to 4023 computations (49.5% saved)

prune1.4s (8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	516	3	519
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	517	4	521

Error

Counts

521 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(*.f64 (-.f64 x y) (+.f64 x x))
▶	0.0b	(.f64 x (+.f64 x (+.f64 x (.f64 -2 y))))
✓	0.0b	(.f64 2 (-.f64 (.f64 x x) (*.f64 x y)))
▶	23.5b	(.f64 -2 (.f64 y x))

Compiler

Compiled 38 to 24 computations (36.8% saved)

localize17.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 6 computations (53.8% saved)

series5.0ms (0%)

Counts

1 → 0

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(.f64 -2 (.f64 y x))
1.0ms	y	@	0	(.f64 -2 (.f64 y x))
1.0ms	x	@	0	(.f64 -2 (.f64 y x))
1.0ms	y	@	inf	(.f64 -2 (.f64 y x))
0.0ms	y	@	-inf	(.f64 -2 (.f64 y x))

rewrite392.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1402×	`rational_best-simplify-83`
906×	`rational_best-4`
906×	`rational_best-2`
906×	`rational_best-3`
906×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	48	13
2	95	13
3	233	13
4	720	13
5	2973	13

Stop Event

1×	node limit

Counts

1 → 61

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -2 (*.f64 y x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -2 (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 y x) -2) (/.f64 (*.f64 y (*.f64 x 3)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 y (*.f64 x 3)) -2) (/.f64 (*.f64 y x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -3 (*.f64 y (/.f64 x 4))) (-.f64 (/.f64 (*.f64 y x) -2) (+.f64 (*.f64 y (*.f64 x 1/2)) (*.f64 y (/.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -3 (*.f64 y (/.f64 x 4))) (-.f64 (/.f64 (*.f64 y x) -2) (/.f64 (*.f64 -3/2 (*.f64 x (neg.f64 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -3 (*.f64 y (/.f64 x 4))) (-.f64 (/.f64 (*.f64 y x) -2) (/.f64 (*.f64 y (*.f64 x 3)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (*.f64 y x)) (-.f64 1 (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (*.f64 y x)) (-.f64 -1 (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 -2 (*.f64 y x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 y (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (neg.f64 y)) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (neg.f64 y)) (-.f64 (neg.f64 (/.f64 (*.f64 y x) -2)) (/.f64 (*.f64 y x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 y x) -2) (*.f64 -3/2 (*.f64 x (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 y x) -2) (+.f64 (neg.f64 (/.f64 (*.f64 y x) -2)) (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 y (*.f64 x 3)) -2) (*.f64 y (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 y (*.f64 x 3)) -2) (neg.f64 (/.f64 (*.f64 y x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 -3 (*.f64 y (/.f64 x 4))) (+.f64 (*.f64 y x) (*.f64 y (/.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 (*.f64 y x) -2) (+.f64 (*.f64 y (*.f64 x 1/2)) (*.f64 y (/.f64 x 4)))) (-.f64 (*.f64 y (/.f64 x 4)) (/.f64 (*.f64 y x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 (*.f64 y x) -2) (/.f64 (*.f64 -3/2 (*.f64 x (neg.f64 y))) 2)) (-.f64 (*.f64 y (/.f64 x 4)) (/.f64 (*.f64 y x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 (*.f64 y x) -2) (/.f64 (*.f64 y (*.f64 x 3)) 4)) (-.f64 (*.f64 y (/.f64 x 4)) (/.f64 (*.f64 y x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (*.f64 y x) -2) (*.f64 -3 (*.f64 y (/.f64 x 4)))) (-.f64 (*.f64 y (/.f64 x 4)) (/.f64 (*.f64 y x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y x) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 (*.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (+.f64 x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (*.f64 x -4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 y -8)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (*.f64 x 1/2)) -1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (neg.f64 y)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (*.f64 x 4)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 y (+.f64 x x)) -8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y x) -2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 y (+.f64 x x)) 8) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 y x) 8) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (*.f64 y (+.f64 x x)) -8) (*.f64 (*.f64 y (+.f64 x x)) -8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x 4) (*.f64 y -8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 -2 y) (+.f64 (*.f64 2 (*.f64 x 4)) (*.f64 2 (*.f64 x 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 y y) (+.f64 (*.f64 2 (*.f64 x 4)) (*.f64 2 (*.f64 x 4)))) -16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x x) (*.f64 (*.f64 y 4) 4)) -16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 -2 y) (neg.f64 (*.f64 2 (*.f64 x 4)))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 y -8) (*.f64 y -8)) (*.f64 2 (*.f64 x 4))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 x 4)) (+.f64 (*.f64 y -8) (*.f64 y -8))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x x) (+.f64 (*.f64 y -8) (*.f64 y -8))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 y -8) (+.f64 (*.f64 2 (*.f64 x 4)) (*.f64 2 (*.f64 x 4)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x -4) (*.f64 (+.f64 y y) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 y 4) (*.f64 -2 (*.f64 x 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 -2 x) (*.f64 (*.f64 y 4) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 y y) 4) (*.f64 x -4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 x 4)) (*.f64 2 (*.f64 x 4))) (*.f64 y -8)) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 -2 (*.f64 x 4)) (*.f64 y 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 x 4)) (*.f64 2 (*.f64 x 4))) (*.f64 -2 y)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 y -8) (*.f64 y -8)) (+.f64 x x)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 x 4)) (*.f64 2 (*.f64 x 4))) (neg.f64 (*.f64 (+.f64 y y) 4))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 y 4) 4) (neg.f64 (*.f64 2 (*.f64 x 4)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (*.f64 (+.f64 y y) 4)) (+.f64 (*.f64 2 (*.f64 x 4)) (*.f64 2 (*.f64 x 4)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (*.f64 2 (*.f64 x 4))) (*.f64 (*.f64 y 4) 4)) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 y 4) 4) (*.f64 -2 x)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 y -8) (*.f64 y -8)) (*.f64 x 1/2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -2 (*.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 y (+.f64 x x)))))))

simplify414.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1260×	`rational_best-simplify-1`
988×	`rational_best-simplify-48`
900×	`rational_best-simplify-52`
756×	`rational_best-simplify-50`
744×	`rational_best-simplify-55`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	160	1313
1	395	1289
2	1047	1111
3	3082	1085

Stop Event

1×	node limit

Counts

61 → 76

Calls

Call 1

Inputs
(+.f64 (.f64 -2 (.f64 y x)) 0)
(+.f64 0 (.f64 -2 (.f64 y x)))
(+.f64 (.f64 x (neg.f64 y)) (.f64 x (neg.f64 y)))
(+.f64 (/.f64 (.f64 y x) -2) (/.f64 (.f64 y (*.f64 x 3)) -2))
(+.f64 (/.f64 (.f64 y (.f64 x 3)) -2) (/.f64 (*.f64 y x) -2))
(+.f64 (.f64 -3 (.f64 y (/.f64 x 4))) (-.f64 (/.f64 (.f64 y x) -2) (+.f64 (.f64 y (.f64 x 1/2)) (.f64 y (/.f64 x 4)))))
(+.f64 (.f64 -3 (.f64 y (/.f64 x 4))) (-.f64 (/.f64 (.f64 y x) -2) (/.f64 (.f64 -3/2 (*.f64 x (neg.f64 y))) 2)))
(+.f64 (.f64 -3 (.f64 y (/.f64 x 4))) (-.f64 (/.f64 (.f64 y x) -2) (/.f64 (.f64 y (*.f64 x 3)) 4)))
(+.f64 (-.f64 -1 (.f64 y x)) (-.f64 1 (.f64 y x)))
(+.f64 (-.f64 1 (.f64 y x)) (-.f64 -1 (.f64 y x)))
(-.f64 (.f64 -2 (.f64 y x)) 0)
(-.f64 0 (*.f64 y (+.f64 x x)))
(-.f64 (.f64 x (neg.f64 y)) (.f64 y x))
(-.f64 (.f64 x (neg.f64 y)) (-.f64 (neg.f64 (/.f64 (.f64 y x) -2)) (/.f64 (*.f64 y x) -2)))
(-.f64 (/.f64 (.f64 y x) -2) (.f64 -3/2 (*.f64 x (neg.f64 y))))
(-.f64 (/.f64 (.f64 y x) -2) (+.f64 (neg.f64 (/.f64 (.f64 y x) -2)) (*.f64 y x)))
(-.f64 (/.f64 (.f64 y (.f64 x 3)) -2) (.f64 y (.f64 x 1/2)))
(-.f64 (/.f64 (.f64 y (.f64 x 3)) -2) (neg.f64 (/.f64 (*.f64 y x) -2)))
(-.f64 (.f64 -3 (.f64 y (/.f64 x 4))) (+.f64 (.f64 y x) (.f64 y (/.f64 x 4))))
(-.f64 (-.f64 (/.f64 (.f64 y x) -2) (+.f64 (.f64 y (.f64 x 1/2)) (.f64 y (/.f64 x 4)))) (-.f64 (.f64 y (/.f64 x 4)) (/.f64 (.f64 y x) -2)))
(-.f64 (-.f64 (/.f64 (.f64 y x) -2) (/.f64 (.f64 -3/2 (.f64 x (neg.f64 y))) 2)) (-.f64 (.f64 y (/.f64 x 4)) (/.f64 (*.f64 y x) -2)))
(-.f64 (-.f64 (/.f64 (.f64 y x) -2) (/.f64 (.f64 y (.f64 x 3)) 4)) (-.f64 (.f64 y (/.f64 x 4)) (/.f64 (*.f64 y x) -2)))
(-.f64 (+.f64 (/.f64 (.f64 y x) -2) (.f64 -3 (.f64 y (/.f64 x 4)))) (-.f64 (.f64 y (/.f64 x 4)) (/.f64 (*.f64 y x) -2)))
(/.f64 (*.f64 y x) -1/2)
(/.f64 (.f64 -2 (.f64 y x)) 1)
(/.f64 (*.f64 y (+.f64 x x)) -1)
(/.f64 (.f64 y (.f64 x -4)) 2)
(/.f64 (.f64 x (.f64 y -8)) 4)
(/.f64 (.f64 y (.f64 x 1/2)) -1/4)
(/.f64 (*.f64 x (neg.f64 y)) 1/2)
(/.f64 (.f64 y (.f64 x 4)) -2)
(/.f64 (.f64 (.f64 y (+.f64 x x)) -8) 8)
(/.f64 (/.f64 (*.f64 y x) -2) 1/4)
(/.f64 (.f64 (.f64 y (+.f64 x x)) 8) -8)
(/.f64 (.f64 (.f64 y x) 8) -4)
(/.f64 (+.f64 (.f64 (.f64 y (+.f64 x x)) -8) (.f64 (.f64 y (+.f64 x x)) -8)) 16)
(/.f64 (.f64 (.f64 x 4) (*.f64 y -8)) 16)
(/.f64 (.f64 (.f64 -2 y) (+.f64 (.f64 2 (.f64 x 4)) (.f64 2 (.f64 x 4)))) 16)
(/.f64 (.f64 (+.f64 y y) (+.f64 (.f64 2 (.f64 x 4)) (.f64 2 (*.f64 x 4)))) -16)
(/.f64 (.f64 (+.f64 x x) (.f64 (*.f64 y 4) 4)) -16)
(/.f64 (.f64 (.f64 -2 y) (neg.f64 (.f64 2 (.f64 x 4)))) -8)
(/.f64 (.f64 (+.f64 (.f64 y -8) (.f64 y -8)) (.f64 2 (*.f64 x 4))) 64)
(/.f64 (.f64 (.f64 2 (.f64 x 4)) (+.f64 (.f64 y -8) (*.f64 y -8))) 64)
(/.f64 (.f64 (+.f64 x x) (+.f64 (.f64 y -8) (*.f64 y -8))) 16)
(/.f64 (.f64 (.f64 y -8) (+.f64 (.f64 2 (.f64 x 4)) (.f64 2 (.f64 x 4)))) 64)
(/.f64 (.f64 (.f64 x -4) (*.f64 (+.f64 y y) 4)) 16)
(/.f64 (.f64 (.f64 y 4) (.f64 -2 (.f64 x 4))) 16)
(/.f64 (.f64 (.f64 -2 x) (.f64 (.f64 y 4) 4)) 16)
(/.f64 (.f64 (.f64 (+.f64 y y) 4) (*.f64 x -4)) 16)
(/.f64 (.f64 (+.f64 (.f64 2 (.f64 x 4)) (.f64 2 (.f64 x 4))) (.f64 y -8)) 64)
(/.f64 (.f64 (.f64 -2 (.f64 x 4)) (.f64 y 4)) 16)
(/.f64 (.f64 (+.f64 (.f64 2 (.f64 x 4)) (.f64 2 (.f64 x 4))) (.f64 -2 y)) 16)
(/.f64 (.f64 (+.f64 (.f64 y -8) (*.f64 y -8)) (+.f64 x x)) 16)
(/.f64 (.f64 (+.f64 (.f64 2 (.f64 x 4)) (.f64 2 (.f64 x 4))) (neg.f64 (.f64 (+.f64 y y) 4))) 64)
(/.f64 (.f64 (.f64 (.f64 y 4) 4) (neg.f64 (.f64 2 (*.f64 x 4)))) 64)
(/.f64 (.f64 (neg.f64 (.f64 (+.f64 y y) 4)) (+.f64 (.f64 2 (.f64 x 4)) (.f64 2 (.f64 x 4)))) 64)
(/.f64 (.f64 (neg.f64 (.f64 2 (.f64 x 4))) (.f64 (*.f64 y 4) 4)) 64)
(/.f64 (.f64 (.f64 (.f64 y 4) 4) (.f64 -2 x)) 16)
(/.f64 (.f64 (+.f64 (.f64 y -8) (.f64 y -8)) (.f64 x 1/2)) 4)
(pow.f64 (.f64 -2 (.f64 y x)) 1)
(neg.f64 (*.f64 y (+.f64 x x)))

Outputs
(+.f64 (.f64 -2 (.f64 y x)) 0)
(.f64 -2 (.f64 y x))
(+.f64 0 (.f64 -2 (.f64 y x)))
(.f64 -2 (.f64 y x))
(+.f64 (.f64 x (neg.f64 y)) (.f64 x (neg.f64 y)))
(.f64 -2 (.f64 y x))
(+.f64 (/.f64 (.f64 y x) -2) (/.f64 (.f64 y (*.f64 x 3)) -2))
(.f64 -2 (.f64 y x))
(+.f64 (/.f64 (.f64 y (.f64 x 3)) -2) (/.f64 (*.f64 y x) -2))
(.f64 -2 (.f64 y x))
(+.f64 (.f64 -3 (.f64 y (/.f64 x 4))) (-.f64 (/.f64 (.f64 y x) -2) (+.f64 (.f64 y (.f64 x 1/2)) (.f64 y (/.f64 x 4)))))
(+.f64 (.f64 -3 (.f64 y (/.f64 x 4))) (-.f64 (/.f64 (.f64 y x) -2) (+.f64 (.f64 y (/.f64 x 4)) (.f64 y (.f64 x 1/2)))))
(+.f64 (.f64 -3 (.f64 y (/.f64 x 4))) (-.f64 (/.f64 (.f64 y x) -2) (.f64 y (+.f64 (/.f64 x 4) (*.f64 x 1/2)))))
(-.f64 (.f64 (/.f64 x 4) (-.f64 (.f64 y -3) y)) (*.f64 y x))
(-.f64 (.f64 y (.f64 x -3/4)) (*.f64 x (+.f64 y (/.f64 y 4))))
(+.f64 (.f64 -3 (.f64 y (/.f64 x 4))) (-.f64 (/.f64 (.f64 y x) -2) (/.f64 (.f64 -3/2 (*.f64 x (neg.f64 y))) 2)))
(+.f64 (.f64 -3 (.f64 y (/.f64 x 4))) (-.f64 (/.f64 (.f64 y x) -2) (/.f64 (.f64 (neg.f64 y) (*.f64 x -3/2)) 2)))
(+.f64 (.f64 y (.f64 -3 (/.f64 x 4))) (-.f64 (/.f64 (.f64 y x) -2) (/.f64 (.f64 (*.f64 y x) 3/2) 2)))
(+.f64 (.f64 y (.f64 x -3/4)) (-.f64 (.f64 (.f64 y x) -1/2) (/.f64 (.f64 x (.f64 y 3)) 4)))
(+.f64 (.f64 -3 (.f64 y (/.f64 x 4))) (-.f64 (/.f64 (.f64 y x) -2) (/.f64 (.f64 y (*.f64 x 3)) 4)))
(+.f64 (.f64 -3 (.f64 y (/.f64 x 4))) (-.f64 (/.f64 (.f64 y x) -2) (/.f64 (.f64 (neg.f64 y) (*.f64 x -3/2)) 2)))
(+.f64 (.f64 y (.f64 -3 (/.f64 x 4))) (-.f64 (/.f64 (.f64 y x) -2) (/.f64 (.f64 (*.f64 y x) 3/2) 2)))
(+.f64 (.f64 y (.f64 x -3/4)) (-.f64 (.f64 (.f64 y x) -1/2) (/.f64 (.f64 x (.f64 y 3)) 4)))
(+.f64 (-.f64 -1 (.f64 y x)) (-.f64 1 (.f64 y x)))
(+.f64 (-.f64 1 (.f64 y x)) (-.f64 -1 (.f64 y x)))
(+.f64 (-.f64 -1 (.f64 y x)) (-.f64 1 (.f64 y x)))
(-.f64 (.f64 -2 (.f64 y x)) 0)
(.f64 -2 (.f64 y x))
(-.f64 0 (*.f64 y (+.f64 x x)))
(.f64 -2 (.f64 y x))
(-.f64 (.f64 x (neg.f64 y)) (.f64 y x))
(.f64 -2 (.f64 y x))
(-.f64 (.f64 x (neg.f64 y)) (-.f64 (neg.f64 (/.f64 (.f64 y x) -2)) (/.f64 (*.f64 y x) -2)))
(.f64 -2 (.f64 y x))
(-.f64 (/.f64 (.f64 y x) -2) (.f64 -3/2 (*.f64 x (neg.f64 y))))
(.f64 -2 (.f64 y x))
(-.f64 (/.f64 (.f64 y x) -2) (+.f64 (neg.f64 (/.f64 (.f64 y x) -2)) (*.f64 y x)))
(.f64 -2 (.f64 y x))
(-.f64 (/.f64 (.f64 y (.f64 x 3)) -2) (.f64 y (.f64 x 1/2)))
(.f64 -2 (.f64 y x))
(-.f64 (/.f64 (.f64 y (.f64 x 3)) -2) (neg.f64 (/.f64 (*.f64 y x) -2)))
(.f64 -2 (.f64 y x))
(-.f64 (.f64 -3 (.f64 y (/.f64 x 4))) (+.f64 (.f64 y x) (.f64 y (/.f64 x 4))))
(+.f64 (.f64 -3 (.f64 y (/.f64 x 4))) (-.f64 (/.f64 (.f64 y x) -2) (+.f64 (.f64 y (/.f64 x 4)) (.f64 y (.f64 x 1/2)))))
(+.f64 (.f64 -3 (.f64 y (/.f64 x 4))) (-.f64 (/.f64 (.f64 y x) -2) (.f64 y (+.f64 (/.f64 x 4) (*.f64 x 1/2)))))
(-.f64 (.f64 (/.f64 x 4) (-.f64 (.f64 y -3) y)) (*.f64 y x))
(-.f64 (.f64 y (.f64 x -3/4)) (*.f64 x (+.f64 y (/.f64 y 4))))
(-.f64 (-.f64 (/.f64 (.f64 y x) -2) (+.f64 (.f64 y (.f64 x 1/2)) (.f64 y (/.f64 x 4)))) (-.f64 (.f64 y (/.f64 x 4)) (/.f64 (.f64 y x) -2)))
(-.f64 (/.f64 (.f64 y x) -2) (-.f64 (.f64 y (/.f64 x 4)) (-.f64 (/.f64 (.f64 y x) -2) (+.f64 (.f64 y (/.f64 x 4)) (.f64 y (.f64 x 1/2))))))
(-.f64 (/.f64 (.f64 y x) -2) (-.f64 (.f64 y (/.f64 x 4)) (-.f64 (/.f64 (.f64 y x) -2) (.f64 y (+.f64 (/.f64 x 4) (*.f64 x 1/2))))))
(-.f64 (/.f64 (.f64 y x) -2) (+.f64 (.f64 y (/.f64 x 4)) (*.f64 y (+.f64 x (/.f64 x 4)))))
(-.f64 (.f64 (.f64 y x) -1/2) (+.f64 (.f64 y x) (.f64 -2 (neg.f64 (*.f64 y (/.f64 x 4))))))
(-.f64 (-.f64 (/.f64 (.f64 y x) -2) (/.f64 (.f64 -3/2 (.f64 x (neg.f64 y))) 2)) (-.f64 (.f64 y (/.f64 x 4)) (/.f64 (*.f64 y x) -2)))
(-.f64 (/.f64 (.f64 y x) -2) (-.f64 (.f64 y (/.f64 x 4)) (-.f64 (/.f64 (.f64 y x) -2) (/.f64 (.f64 (neg.f64 y) (*.f64 x -3/2)) 2))))
(-.f64 (-.f64 0 (.f64 y (+.f64 x (/.f64 x 4)))) (/.f64 (.f64 (*.f64 y x) 3/2) 2))
(-.f64 (/.f64 (.f64 x (.f64 y 3)) -4) (*.f64 x (+.f64 y (/.f64 y 4))))
(-.f64 (-.f64 (/.f64 (.f64 y x) -2) (/.f64 (.f64 y (.f64 x 3)) 4)) (-.f64 (.f64 y (/.f64 x 4)) (/.f64 (*.f64 y x) -2)))
(-.f64 (/.f64 (.f64 y x) -2) (-.f64 (.f64 y (/.f64 x 4)) (-.f64 (/.f64 (.f64 y x) -2) (/.f64 (.f64 (neg.f64 y) (*.f64 x -3/2)) 2))))
(-.f64 (-.f64 0 (.f64 y (+.f64 x (/.f64 x 4)))) (/.f64 (.f64 (*.f64 y x) 3/2) 2))
(-.f64 (/.f64 (.f64 x (.f64 y 3)) -4) (*.f64 x (+.f64 y (/.f64 y 4))))
(-.f64 (+.f64 (/.f64 (.f64 y x) -2) (.f64 -3 (.f64 y (/.f64 x 4)))) (-.f64 (.f64 y (/.f64 x 4)) (/.f64 (*.f64 y x) -2)))
(+.f64 (.f64 -3 (.f64 y (/.f64 x 4))) (-.f64 (/.f64 (.f64 y x) -2) (+.f64 (.f64 y (/.f64 x 4)) (.f64 y (.f64 x 1/2)))))
(+.f64 (.f64 -3 (.f64 y (/.f64 x 4))) (-.f64 (/.f64 (.f64 y x) -2) (.f64 y (+.f64 (/.f64 x 4) (*.f64 x 1/2)))))
(-.f64 (.f64 (/.f64 x 4) (-.f64 (.f64 y -3) y)) (*.f64 y x))
(-.f64 (.f64 y (.f64 x -3/4)) (*.f64 x (+.f64 y (/.f64 y 4))))
(/.f64 (*.f64 y x) -1/2)
(.f64 -2 (.f64 y x))
(/.f64 (.f64 -2 (.f64 y x)) 1)
(.f64 -2 (.f64 y x))
(/.f64 (*.f64 y (+.f64 x x)) -1)
(.f64 -2 (.f64 y x))
(/.f64 (.f64 y (.f64 x -4)) 2)
(.f64 -2 (.f64 y x))
(/.f64 (.f64 x (.f64 y -8)) 4)
(.f64 -2 (.f64 y x))
(/.f64 (.f64 y (.f64 x 1/2)) -1/4)
(.f64 -2 (.f64 y x))
(/.f64 (*.f64 x (neg.f64 y)) 1/2)
(.f64 -2 (.f64 y x))
(/.f64 (.f64 y (.f64 x 4)) -2)
(.f64 -2 (.f64 y x))
(/.f64 (.f64 (.f64 y (+.f64 x x)) -8) 8)
(.f64 -2 (.f64 y x))
(/.f64 (/.f64 (*.f64 y x) -2) 1/4)
(.f64 -2 (.f64 y x))
(/.f64 (.f64 (.f64 y (+.f64 x x)) 8) -8)
(.f64 -2 (.f64 y x))
(/.f64 (.f64 (.f64 y x) 8) -4)
(.f64 -2 (.f64 y x))
(/.f64 (+.f64 (.f64 (.f64 y (+.f64 x x)) -8) (.f64 (.f64 y (+.f64 x x)) -8)) 16)
(.f64 -2 (.f64 y x))
(/.f64 (.f64 (.f64 x 4) (*.f64 y -8)) 16)
(.f64 -2 (.f64 y x))
(/.f64 (.f64 (.f64 -2 y) (+.f64 (.f64 2 (.f64 x 4)) (.f64 2 (.f64 x 4)))) 16)
(.f64 -2 (.f64 y x))
(/.f64 (.f64 (+.f64 y y) (+.f64 (.f64 2 (.f64 x 4)) (.f64 2 (*.f64 x 4)))) -16)
(.f64 -2 (.f64 y x))
(/.f64 (.f64 (+.f64 x x) (.f64 (*.f64 y 4) 4)) -16)
(.f64 -2 (.f64 y x))
(/.f64 (.f64 (.f64 -2 y) (neg.f64 (.f64 2 (.f64 x 4)))) -8)
(.f64 -2 (.f64 y x))
(/.f64 (.f64 (+.f64 (.f64 y -8) (.f64 y -8)) (.f64 2 (*.f64 x 4))) 64)
(.f64 -2 (.f64 y x))
(/.f64 (.f64 (.f64 2 (.f64 x 4)) (+.f64 (.f64 y -8) (*.f64 y -8))) 64)
(.f64 -2 (.f64 y x))
(/.f64 (.f64 (+.f64 x x) (+.f64 (.f64 y -8) (*.f64 y -8))) 16)
(.f64 -2 (.f64 y x))
(/.f64 (.f64 (.f64 y -8) (+.f64 (.f64 2 (.f64 x 4)) (.f64 2 (.f64 x 4)))) 64)
(.f64 -2 (.f64 y x))
(/.f64 (.f64 (.f64 x -4) (*.f64 (+.f64 y y) 4)) 16)
(.f64 -2 (.f64 y x))
(/.f64 (.f64 (.f64 y 4) (.f64 -2 (.f64 x 4))) 16)
(.f64 -2 (.f64 y x))
(/.f64 (.f64 (.f64 -2 x) (.f64 (.f64 y 4) 4)) 16)
(.f64 -2 (.f64 y x))
(/.f64 (.f64 (.f64 (+.f64 y y) 4) (*.f64 x -4)) 16)
(.f64 -2 (.f64 y x))
(/.f64 (.f64 (+.f64 (.f64 2 (.f64 x 4)) (.f64 2 (.f64 x 4))) (.f64 y -8)) 64)
(.f64 -2 (.f64 y x))
(/.f64 (.f64 (.f64 -2 (.f64 x 4)) (.f64 y 4)) 16)
(.f64 -2 (.f64 y x))
(/.f64 (.f64 (+.f64 (.f64 2 (.f64 x 4)) (.f64 2 (.f64 x 4))) (.f64 -2 y)) 16)
(.f64 -2 (.f64 y x))
(/.f64 (.f64 (+.f64 (.f64 y -8) (*.f64 y -8)) (+.f64 x x)) 16)
(.f64 -2 (.f64 y x))
(/.f64 (.f64 (+.f64 (.f64 2 (.f64 x 4)) (.f64 2 (.f64 x 4))) (neg.f64 (.f64 (+.f64 y y) 4))) 64)
(.f64 -2 (.f64 y x))
(/.f64 (.f64 (.f64 (.f64 y 4) 4) (neg.f64 (.f64 2 (*.f64 x 4)))) 64)
(.f64 -2 (.f64 y x))
(/.f64 (.f64 (neg.f64 (.f64 (+.f64 y y) 4)) (+.f64 (.f64 2 (.f64 x 4)) (.f64 2 (.f64 x 4)))) 64)
(.f64 -2 (.f64 y x))
(/.f64 (.f64 (neg.f64 (.f64 2 (.f64 x 4))) (.f64 (*.f64 y 4) 4)) 64)
(.f64 -2 (.f64 y x))
(/.f64 (.f64 (.f64 (.f64 y 4) 4) (.f64 -2 x)) 16)
(.f64 -2 (.f64 y x))
(/.f64 (.f64 (+.f64 (.f64 y -8) (.f64 y -8)) (.f64 x 1/2)) 4)
(.f64 -2 (.f64 y x))
(pow.f64 (.f64 -2 (.f64 y x)) 1)
(.f64 -2 (.f64 y x))
(neg.f64 (*.f64 y (+.f64 x x)))
(.f64 -2 (.f64 y x))

localize47.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 29 to 17 computations (41.4% saved)

series4.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(.f64 x (+.f64 x (+.f64 x (.f64 -2 y))))
0.0ms	x	@	inf	(.f64 x (+.f64 x (+.f64 x (.f64 -2 y))))
0.0ms	x	@	0	(+.f64 x (+.f64 x (*.f64 -2 y)))
0.0ms	x	@	inf	(+.f64 x (+.f64 x (*.f64 -2 y)))
0.0ms	x	@	0	(.f64 x (+.f64 x (+.f64 x (.f64 -2 y))))

rewrite278.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1208×	`rational_best-simplify-51`
984×	`rational_best-simplify-57`
932×	`rational_best-simplify-56`
794×	`rational_best-simplify-67`
676×	`rational_best-simplify-64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	9	44
1	65	44
2	138	44
3	365	44
4	1568	32

Stop Event

1×	node limit

Counts

2 → 110

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 x (+.f64 (-.f64 y x) y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 x (-.f64 (*.f64 -2 y) (+.f64 x (*.f64 -4 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 -2 y) (*.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 -2 y) (+.f64 (+.f64 (+.f64 y y) (-.f64 (*.f64 -2 y) x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (*.f64 -2 y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 -2 (-.f64 y x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 -2 (-.f64 y x)) (-.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 -2 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x x) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x x) (+.f64 x (+.f64 (-.f64 y x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x x) (+.f64 (+.f64 x (+.f64 y y)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x x) (+.f64 (-.f64 x x) (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 -4 y) (-.f64 (*.f64 -2 y) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 -4 y) (*.f64 -2 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (+.f64 x (*.f64 -4 y))) (-.f64 (*.f64 -2 y) (-.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (*.f64 -4 y)) (-.f64 (*.f64 -2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x 1/2) (+.f64 (+.f64 (-.f64 y x) y) (/.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x 1/2) (-.f64 (/.f64 x -2) (+.f64 x (*.f64 -2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x 1/2) (-.f64 (neg.f64 x) (+.f64 (*.f64 -2 y) (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x 1/2) (-.f64 (-.f64 (*.f64 -2 y) x) (+.f64 (*.f64 -4 y) (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x 1/2) (+.f64 (+.f64 (+.f64 y y) (/.f64 x -2)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x 1/2) (+.f64 (-.f64 (/.f64 x -2) x) (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x 1/2) (-.f64 (+.f64 y y) (+.f64 x (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x 1/2) (/.f64 (-.f64 (neg.f64 x) (+.f64 x (+.f64 x (*.f64 -4 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 x y) (-.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 y) (+.f64 (*.f64 x -2) y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 y) (+.f64 y (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 y) (/.f64 (-.f64 (+.f64 y y) (*.f64 x 4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (*.f64 x 1/2) y) (+.f64 (-.f64 y x) (/.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (*.f64 x 1/2) y) (+.f64 (+.f64 (/.f64 x -2) y) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (*.f64 -2 y) x) (*.f64 x -3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (-.f64 (*.f64 x 1/2) y)) (+.f64 (/.f64 x -2) y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 x (-.f64 y x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 x (*.f64 x 1/2)) (*.f64 -2 y)) (/.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (*.f64 x 1/2)) (+.f64 (+.f64 y y) (/.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (*.f64 x 1/2)) (-.f64 (/.f64 x -2) (*.f64 -2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 -2 y) (*.f64 x 1/2)) (-.f64 (/.f64 x -2) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 x y) 2) (/.f64 (*.f64 -3 (-.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (+.f64 y y)) (-.f64 (neg.f64 x) (*.f64 -4 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (+.f64 y y)) (-.f64 (*.f64 y 4) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 -4 y) (*.f64 x 1/2)) (+.f64 (-.f64 (*.f64 -2 y) x) (/.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (*.f64 -2 y) (-.f64 x x)) (*.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 x x) (*.f64 -2 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 x (-.f64 y x)) 2) (/.f64 (+.f64 (*.f64 -2 (-.f64 x y)) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 (*.f64 -2 (-.f64 y x)) (-.f64 x y)) 2) (/.f64 (-.f64 y x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (*.f64 -2 (-.f64 y x)) 3) 4) (/.f64 (*.f64 -2 (-.f64 x y)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 (*.f64 -2 (-.f64 y x)) (neg.f64 y)) 2) (/.f64 (+.f64 (*.f64 x -2) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 (+.f64 x x) (-.f64 x y)) 2) (/.f64 (+.f64 (*.f64 y 3) (neg.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 x (*.f64 y 3)) 2) (/.f64 (-.f64 y (*.f64 x 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (-.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -2 (-.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -2 (-.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 -2 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -4 (-.f64 y x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -2 (-.f64 x y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 -4 (-.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x y) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 -2 (-.f64 y x)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 -4 (-.f64 y x))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (*.f64 -2 (-.f64 y x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 -4 (-.f64 y x)) 4) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 (-.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -4 (-.f64 y x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 (-.f64 x y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 -2 (-.f64 y x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 -4 (-.f64 y x))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 -4 (-.f64 y x)) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (*.f64 -4 (-.f64 y x))) -1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (+.f64 x x) 4) (*.f64 2 (+.f64 (*.f64 x 4) (*.f64 y -8)))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 y -8) (*.f64 (+.f64 x x) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (+.f64 (*.f64 x 4) (*.f64 y -8))) (*.f64 (+.f64 x x) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (+.f64 x x) 4) (*.f64 y -8)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x 4) (neg.f64 (+.f64 (*.f64 x 4) (*.f64 y -8)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 (*.f64 x 4) (*.f64 y -8)) (*.f64 x -4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x 4) (*.f64 y 4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 x x) 4) (neg.f64 (*.f64 y -8))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -2 (-.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 -2 (-.f64 x y)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 x x) (-.f64 x y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 x x) (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (+.f64 x x) (-.f64 x y)) 2) (/.f64 (*.f64 (+.f64 x x) (-.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (+.f64 x x) (-.f64 x y)) 4) (/.f64 (/.f64 (*.f64 (*.f64 x (-.f64 x y)) 6) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (+.f64 x x) (-.f64 x y)) 4) (/.f64 (*.f64 (*.f64 x (-.f64 x y)) 6) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (+.f64 x x) (-.f64 x y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (+.f64 x x) (-.f64 x y)) 2) (*.f64 (neg.f64 x) (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (+.f64 x x) (-.f64 x y)) 2) (/.f64 (neg.f64 (*.f64 (-.f64 y x) (*.f64 x -4))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (-.f64 x y)) 6) 2) 2) (/.f64 (*.f64 (neg.f64 x) (-.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (*.f64 x (-.f64 x y)) 6) 4) (/.f64 (*.f64 x (*.f64 -2 (-.f64 x y))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x x) (-.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 y x) (*.f64 x -4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 -2 (-.f64 x y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (-.f64 x y)) 8) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 x x) (-.f64 x y)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (*.f64 (*.f64 x (-.f64 x y)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) (*.f64 -4 (-.f64 y x))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x -2) (*.f64 -2 (-.f64 y x))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x x) (*.f64 -2 (-.f64 x y))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x -2) (-.f64 x y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x -2) (*.f64 -4 (-.f64 y x))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) (*.f64 (*.f64 -2 (-.f64 y x)) 4)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) (*.f64 (*.f64 -4 (-.f64 y x)) 4)) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 -2 (-.f64 x y)) (+.f64 x x)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 -2 (-.f64 x y)) (*.f64 x 4)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 -2 (-.f64 x y)) (*.f64 (+.f64 x x) 4)) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x -2) (*.f64 (*.f64 -2 (-.f64 y x)) 4)) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 -2 (-.f64 y x)) (*.f64 x -2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 -2 (-.f64 y x)) (*.f64 x -4)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (neg.f64 (*.f64 -4 (-.f64 y x)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 x x) (-.f64 x y)) 1)))))

simplify781.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

970×	`rational_best-simplify-50`
648×	`rational_best-simplify-57`
648×	`rational_best-simplify-52`
604×	`rational_best-simplify-48`
580×	`rational_best-simplify-108`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	277	3558
1	745	3548
2	2085	2964
3	7890	2964

Stop Event

1×	node limit

Counts

158 → 144

Calls

Call 1

Inputs
(*.f64 -2 y)
(+.f64 (.f64 -2 y) (.f64 2 x))
(+.f64 (.f64 -2 y) (.f64 2 x))
(+.f64 (.f64 -2 y) (.f64 2 x))
(*.f64 2 x)
(+.f64 (.f64 -2 y) (.f64 2 x))
(+.f64 (.f64 -2 y) (.f64 2 x))
(+.f64 (.f64 -2 y) (.f64 2 x))
(*.f64 2 x)
(+.f64 (.f64 -2 y) (.f64 2 x))
(+.f64 (.f64 -2 y) (.f64 2 x))
(+.f64 (.f64 -2 y) (.f64 2 x))
(*.f64 2 x)
(+.f64 (.f64 -2 y) (.f64 2 x))
(+.f64 (.f64 -2 y) (.f64 2 x))
(+.f64 (.f64 -2 y) (.f64 2 x))
(*.f64 -2 y)
(+.f64 (.f64 -2 y) (.f64 2 x))
(+.f64 (.f64 -2 y) (.f64 2 x))
(+.f64 (.f64 -2 y) (.f64 2 x))
(*.f64 -2 y)
(+.f64 (.f64 -2 y) (.f64 2 x))
(+.f64 (.f64 -2 y) (.f64 2 x))
(+.f64 (.f64 -2 y) (.f64 2 x))
(.f64 -2 (.f64 y x))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(*.f64 2 (pow.f64 x 2))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(*.f64 2 (pow.f64 x 2))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(*.f64 2 (pow.f64 x 2))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(.f64 -2 (.f64 y x))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(.f64 -2 (.f64 y x))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(-.f64 x (+.f64 (-.f64 y x) y))
(-.f64 x (-.f64 (.f64 -2 y) (+.f64 x (.f64 -4 y))))
(-.f64 (.f64 -2 y) (.f64 x -2))
(-.f64 (.f64 -2 y) (+.f64 (+.f64 (+.f64 y y) (-.f64 (.f64 -2 y) x)) (neg.f64 x)))
(-.f64 (+.f64 x (*.f64 -2 y)) (neg.f64 x))
(-.f64 (*.f64 -2 (-.f64 y x)) 0)
(-.f64 (*.f64 -2 (-.f64 y x)) (-.f64 x x))
(-.f64 0 (*.f64 -2 (-.f64 x y)))
(-.f64 (+.f64 x x) (+.f64 y y))
(-.f64 (+.f64 x x) (+.f64 x (+.f64 (-.f64 y x) y)))
(-.f64 (+.f64 x x) (+.f64 (+.f64 x (+.f64 y y)) (neg.f64 x)))
(-.f64 (+.f64 x x) (+.f64 (-.f64 x x) (+.f64 y y)))
(-.f64 (.f64 -4 y) (-.f64 (.f64 -2 y) (+.f64 x x)))
(-.f64 (.f64 -4 y) (.f64 -2 (+.f64 x y)))
(-.f64 (+.f64 x (+.f64 x (.f64 -4 y))) (-.f64 (.f64 -2 y) (-.f64 x x)))
(-.f64 (+.f64 x (.f64 -4 y)) (-.f64 (.f64 -2 y) x))
(-.f64 (*.f64 x 1/2) (+.f64 (+.f64 (-.f64 y x) y) (/.f64 x -2)))
(-.f64 (.f64 x 1/2) (-.f64 (/.f64 x -2) (+.f64 x (.f64 -2 y))))
(-.f64 (.f64 x 1/2) (-.f64 (neg.f64 x) (+.f64 (.f64 -2 y) (*.f64 x 1/2))))
(-.f64 (.f64 x 1/2) (-.f64 (-.f64 (.f64 -2 y) x) (+.f64 (.f64 -4 y) (.f64 x 1/2))))
(-.f64 (*.f64 x 1/2) (+.f64 (+.f64 (+.f64 y y) (/.f64 x -2)) (neg.f64 x)))
(-.f64 (*.f64 x 1/2) (+.f64 (-.f64 (/.f64 x -2) x) (+.f64 y y)))
(-.f64 (.f64 x 1/2) (-.f64 (+.f64 y y) (+.f64 x (.f64 x 1/2))))
(-.f64 (.f64 x 1/2) (/.f64 (-.f64 (neg.f64 x) (+.f64 x (+.f64 x (.f64 -4 y)))) 2))
(-.f64 (-.f64 x y) (-.f64 y x))
(-.f64 (neg.f64 y) (+.f64 (*.f64 x -2) y))
(-.f64 (neg.f64 y) (+.f64 y (*.f64 x -2)))
(-.f64 (neg.f64 y) (/.f64 (-.f64 (+.f64 y y) (*.f64 x 4)) 2))
(-.f64 (-.f64 (*.f64 x 1/2) y) (+.f64 (-.f64 y x) (/.f64 x -2)))
(-.f64 (-.f64 (*.f64 x 1/2) y) (+.f64 (+.f64 (/.f64 x -2) y) (neg.f64 x)))
(-.f64 (-.f64 (.f64 -2 y) x) (.f64 x -3))
(-.f64 (+.f64 x (-.f64 (*.f64 x 1/2) y)) (+.f64 (/.f64 x -2) y))
(-.f64 (-.f64 x (-.f64 y x)) y)
(-.f64 (+.f64 (+.f64 x (.f64 x 1/2)) (.f64 -2 y)) (/.f64 x -2))
(-.f64 (+.f64 x (*.f64 x 1/2)) (+.f64 (+.f64 y y) (/.f64 x -2)))
(-.f64 (+.f64 x (.f64 x 1/2)) (-.f64 (/.f64 x -2) (.f64 -2 y)))
(-.f64 (+.f64 (.f64 -2 y) (.f64 x 1/2)) (-.f64 (/.f64 x -2) x))
(-.f64 (/.f64 (-.f64 x y) 2) (/.f64 (*.f64 -3 (-.f64 x y)) 2))
(-.f64 (+.f64 x (+.f64 y y)) (-.f64 (neg.f64 x) (*.f64 -4 y)))
(-.f64 (+.f64 x (+.f64 y y)) (-.f64 (*.f64 y 4) x))
(-.f64 (+.f64 (.f64 -4 y) (.f64 x 1/2)) (+.f64 (-.f64 (*.f64 -2 y) x) (/.f64 x -2)))
(-.f64 (-.f64 (.f64 -2 y) (-.f64 x x)) (.f64 x -2))
(-.f64 (-.f64 x x) (*.f64 -2 (-.f64 x y)))
(-.f64 (/.f64 (-.f64 x (-.f64 y x)) 2) (/.f64 (+.f64 (*.f64 -2 (-.f64 x y)) y) 2))
(-.f64 (/.f64 (+.f64 (*.f64 -2 (-.f64 y x)) (-.f64 x y)) 2) (/.f64 (-.f64 y x) 2))
(-.f64 (/.f64 (.f64 (.f64 -2 (-.f64 y x)) 3) 4) (/.f64 (*.f64 -2 (-.f64 x y)) 4))
(-.f64 (/.f64 (+.f64 (.f64 -2 (-.f64 y x)) (neg.f64 y)) 2) (/.f64 (+.f64 (.f64 x -2) y) 2))
(-.f64 (/.f64 (+.f64 (+.f64 x x) (-.f64 x y)) 2) (/.f64 (+.f64 (*.f64 y 3) (neg.f64 x)) 2))
(-.f64 (/.f64 (-.f64 x (.f64 y 3)) 2) (/.f64 (-.f64 y (.f64 x 3)) 2))
(*.f64 -2 (-.f64 y x))
(.f64 (.f64 -2 (-.f64 y x)) 1)
(.f64 1 (.f64 -2 (-.f64 y x)))
(.f64 -1 (.f64 -2 (-.f64 x y)))
(*.f64 2 (-.f64 x y))
(.f64 (.f64 -4 (-.f64 y x)) 1/2)
(.f64 (.f64 -2 (-.f64 x y)) -1)
(.f64 1/2 (.f64 -4 (-.f64 y x)))
(*.f64 (-.f64 x y) 2)
(.f64 (.f64 (*.f64 -2 (-.f64 y x)) 4) 1/4)
(.f64 (neg.f64 (.f64 -4 (-.f64 y x))) -1/2)
(.f64 1/4 (.f64 (*.f64 -2 (-.f64 y x)) 4))
(.f64 (.f64 (*.f64 -4 (-.f64 y x)) 4) 1/8)
(/.f64 (*.f64 -2 (-.f64 y x)) 1)
(/.f64 (*.f64 -4 (-.f64 y x)) 2)
(/.f64 (*.f64 -2 (-.f64 x y)) -1)
(/.f64 (.f64 (.f64 -2 (-.f64 y x)) 4) 4)
(/.f64 (neg.f64 (*.f64 -4 (-.f64 y x))) -2)
(/.f64 (.f64 (.f64 -4 (-.f64 y x)) 4) 8)
(/.f64 (/.f64 (neg.f64 (*.f64 -4 (-.f64 y x))) -1) 2)
(/.f64 (+.f64 (.f64 (+.f64 x x) 4) (.f64 2 (+.f64 (.f64 x 4) (.f64 y -8)))) 8)
(/.f64 (+.f64 (.f64 y -8) (.f64 (+.f64 x x) 4)) 4)
(/.f64 (+.f64 (.f64 2 (+.f64 (.f64 x 4) (.f64 y -8))) (.f64 (+.f64 x x) 4)) 8)
(/.f64 (+.f64 (.f64 (+.f64 x x) 4) (.f64 y -8)) 4)
(/.f64 (-.f64 (.f64 x 4) (neg.f64 (+.f64 (.f64 x 4) (*.f64 y -8)))) 4)
(/.f64 (-.f64 (+.f64 (.f64 x 4) (.f64 y -8)) (*.f64 x -4)) 4)
(/.f64 (-.f64 (.f64 x 4) (.f64 y 4)) 2)
(/.f64 (-.f64 (.f64 (+.f64 x x) 4) (neg.f64 (.f64 y -8))) 4)
(pow.f64 (*.f64 -2 (-.f64 y x)) 1)
(neg.f64 (*.f64 -2 (-.f64 x y)))
(+.f64 (*.f64 (+.f64 x x) (-.f64 x y)) 0)
(+.f64 0 (*.f64 (+.f64 x x) (-.f64 x y)))
(+.f64 (/.f64 (.f64 (+.f64 x x) (-.f64 x y)) 2) (/.f64 (.f64 (+.f64 x x) (-.f64 x y)) 2))
(+.f64 (/.f64 (.f64 (+.f64 x x) (-.f64 x y)) 4) (/.f64 (/.f64 (.f64 (*.f64 x (-.f64 x y)) 6) 2) 2))
(+.f64 (/.f64 (.f64 (+.f64 x x) (-.f64 x y)) 4) (/.f64 (.f64 (*.f64 x (-.f64 x y)) 6) 4))
(-.f64 (*.f64 (+.f64 x x) (-.f64 x y)) 0)
(-.f64 (/.f64 (.f64 (+.f64 x x) (-.f64 x y)) 2) (.f64 (neg.f64 x) (-.f64 x y)))
(-.f64 (/.f64 (.f64 (+.f64 x x) (-.f64 x y)) 2) (/.f64 (neg.f64 (.f64 (-.f64 y x) (*.f64 x -4))) 4))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (-.f64 x y)) 6) 2) 2) (/.f64 (*.f64 (neg.f64 x) (-.f64 x y)) 2))
(-.f64 (/.f64 (.f64 (.f64 x (-.f64 x y)) 6) 4) (/.f64 (.f64 x (.f64 -2 (-.f64 x y))) 4))
(/.f64 (*.f64 (+.f64 x x) (-.f64 x y)) 1)
(/.f64 (.f64 (-.f64 y x) (.f64 x -4)) 2)
(/.f64 (.f64 x (.f64 -2 (-.f64 x y))) -1)
(/.f64 (.f64 (.f64 x (-.f64 x y)) 8) 4)
(/.f64 (.f64 (.f64 (+.f64 x x) (-.f64 x y)) 8) 8)
(/.f64 (.f64 4 (.f64 (*.f64 x (-.f64 x y)) 8)) 16)
(/.f64 (.f64 (neg.f64 x) (.f64 -4 (-.f64 y x))) -2)
(/.f64 (.f64 (.f64 x -2) (*.f64 -2 (-.f64 y x))) -2)
(/.f64 (.f64 (+.f64 x x) (.f64 -2 (-.f64 x y))) -2)
(/.f64 (.f64 (.f64 x -2) (-.f64 x y)) -1)
(/.f64 (.f64 (.f64 x -2) (*.f64 -4 (-.f64 y x))) -4)
(/.f64 (.f64 (neg.f64 x) (.f64 (*.f64 -2 (-.f64 y x)) 4)) -4)
(/.f64 (.f64 (neg.f64 x) (.f64 (*.f64 -4 (-.f64 y x)) 4)) -8)
(/.f64 (.f64 (.f64 -2 (-.f64 x y)) (+.f64 x x)) -2)
(/.f64 (.f64 (.f64 -2 (-.f64 x y)) (*.f64 x 4)) -4)
(/.f64 (.f64 (.f64 -2 (-.f64 x y)) (*.f64 (+.f64 x x) 4)) -8)
(/.f64 (.f64 (.f64 x -2) (.f64 (.f64 -2 (-.f64 y x)) 4)) -8)
(/.f64 (.f64 (.f64 -2 (-.f64 y x)) (*.f64 x -2)) -2)
(/.f64 (.f64 (.f64 -2 (-.f64 y x)) (*.f64 x -4)) -4)
(/.f64 (.f64 x (neg.f64 (.f64 -4 (-.f64 y x)))) -2)
(pow.f64 (*.f64 (+.f64 x x) (-.f64 x y)) 1)

Outputs
(*.f64 -2 y)
(+.f64 (.f64 -2 y) (.f64 2 x))
(*.f64 -2 (-.f64 y x))
(+.f64 (.f64 -2 y) (.f64 2 x))
(*.f64 -2 (-.f64 y x))
(+.f64 (.f64 -2 y) (.f64 2 x))
(*.f64 -2 (-.f64 y x))
(*.f64 2 x)
(+.f64 x x)
(+.f64 (.f64 -2 y) (.f64 2 x))
(*.f64 -2 (-.f64 y x))
(+.f64 (.f64 -2 y) (.f64 2 x))
(*.f64 -2 (-.f64 y x))
(+.f64 (.f64 -2 y) (.f64 2 x))
(*.f64 -2 (-.f64 y x))
(*.f64 2 x)
(+.f64 x x)
(+.f64 (.f64 -2 y) (.f64 2 x))
(*.f64 -2 (-.f64 y x))
(+.f64 (.f64 -2 y) (.f64 2 x))
(*.f64 -2 (-.f64 y x))
(+.f64 (.f64 -2 y) (.f64 2 x))
(*.f64 -2 (-.f64 y x))
(*.f64 2 x)
(+.f64 x x)
(+.f64 (.f64 -2 y) (.f64 2 x))
(*.f64 -2 (-.f64 y x))
(+.f64 (.f64 -2 y) (.f64 2 x))
(*.f64 -2 (-.f64 y x))
(+.f64 (.f64 -2 y) (.f64 2 x))
(*.f64 -2 (-.f64 y x))
(*.f64 -2 y)
(+.f64 (.f64 -2 y) (.f64 2 x))
(*.f64 -2 (-.f64 y x))
(+.f64 (.f64 -2 y) (.f64 2 x))
(*.f64 -2 (-.f64 y x))
(+.f64 (.f64 -2 y) (.f64 2 x))
(*.f64 -2 (-.f64 y x))
(*.f64 -2 y)
(+.f64 (.f64 -2 y) (.f64 2 x))
(*.f64 -2 (-.f64 y x))
(+.f64 (.f64 -2 y) (.f64 2 x))
(*.f64 -2 (-.f64 y x))
(+.f64 (.f64 -2 y) (.f64 2 x))
(*.f64 -2 (-.f64 y x))
(.f64 -2 (.f64 y x))
(.f64 y (.f64 -2 x))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 -2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 y (.f64 -2 x)) (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 -2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 y (.f64 -2 x)) (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 -2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 y (.f64 -2 x)) (*.f64 2 (pow.f64 x 2)))
(*.f64 2 (pow.f64 x 2))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 -2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 y (.f64 -2 x)) (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 -2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 y (.f64 -2 x)) (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 -2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 y (.f64 -2 x)) (*.f64 2 (pow.f64 x 2)))
(*.f64 2 (pow.f64 x 2))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 -2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 y (.f64 -2 x)) (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 -2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 y (.f64 -2 x)) (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 -2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 y (.f64 -2 x)) (*.f64 2 (pow.f64 x 2)))
(*.f64 2 (pow.f64 x 2))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 -2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 y (.f64 -2 x)) (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 -2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 y (.f64 -2 x)) (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 -2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 y (.f64 -2 x)) (*.f64 2 (pow.f64 x 2)))
(.f64 -2 (.f64 y x))
(.f64 y (.f64 -2 x))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 -2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 y (.f64 -2 x)) (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 -2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 y (.f64 -2 x)) (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 -2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 y (.f64 -2 x)) (*.f64 2 (pow.f64 x 2)))
(.f64 -2 (.f64 y x))
(.f64 y (.f64 -2 x))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 -2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 y (.f64 -2 x)) (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 -2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 y (.f64 -2 x)) (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 -2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 y (.f64 -2 x)) (*.f64 2 (pow.f64 x 2)))
(-.f64 x (+.f64 (-.f64 y x) y))
(+.f64 (.f64 -2 y) (.f64 2 x))
(*.f64 -2 (-.f64 y x))
(-.f64 x (-.f64 (.f64 -2 y) (+.f64 x (.f64 -4 y))))
(+.f64 (.f64 -2 y) (.f64 2 x))
(*.f64 -2 (-.f64 y x))
(-.f64 (.f64 -2 y) (.f64 x -2))
(+.f64 (.f64 -2 y) (.f64 2 x))
(*.f64 -2 (-.f64 y x))
(-.f64 (.f64 -2 y) (+.f64 (+.f64 (+.f64 y y) (-.f64 (.f64 -2 y) x)) (neg.f64 x)))
(+.f64 (.f64 -2 y) (.f64 2 x))
(*.f64 -2 (-.f64 y x))
(-.f64 (+.f64 x (*.f64 -2 y)) (neg.f64 x))
(+.f64 (.f64 -2 y) (.f64 2 x))
(*.f64 -2 (-.f64 y x))
(-.f64 (*.f64 -2 (-.f64 y x)) 0)
(+.f64 (.f64 -2 y) (.f64 2 x))
(*.f64 -2 (-.f64 y x))
(-.f64 (*.f64 -2 (-.f64 y x)) (-.f64 x x))
(+.f64 (.f64 -2 y) (.f64 2 x))
(*.f64 -2 (-.f64 y x))
(-.f64 0 (*.f64 -2 (-.f64 x y)))
(+.f64 (.f64 -2 y) (.f64 2 x))
(*.f64 -2 (-.f64 y x))
(-.f64 (+.f64 x x) (+.f64 y y))
(+.f64 (.f64 -2 y) (.f64 2 x))
(*.f64 -2 (-.f64 y x))
(-.f64 (+.f64 x x) (+.f64 x (+.f64 (-.f64 y x) y)))
(+.f64 (.f64 -2 y) (.f64 2 x))
(*.f64 -2 (-.f64 y x))
(-.f64 (+.f64 x x) (+.f64 (+.f64 x (+.f64 y y)) (neg.f64 x)))
(+.f64 (.f64 -2 y) (.f64 2 x))
(*.f64 -2 (-.f64 y x))
(-.f64 (+.f64 x x) (+.f64 (-.f64 x x) (+.f64 y y)))
(+.f64 (.f64 -2 y) (.f64 2 x))
(*.f64 -2 (-.f64 y x))
(-.f64 (.f64 -4 y) (-.f64 (.f64 -2 y) (+.f64 x x)))
(+.f64 (.f64 -2 y) (.f64 2 x))
(*.f64 -2 (-.f64 y x))
(-.f64 (.f64 -4 y) (.f64 -2 (+.f64 x y)))
(-.f64 (.f64 y -4) (.f64 -2 (+.f64 y x)))
(-.f64 (+.f64 x (+.f64 x (.f64 -4 y))) (-.f64 (.f64 -2 y) (-.f64 x x)))
(+.f64 (.f64 -2 y) (.f64 2 x))
(*.f64 -2 (-.f64 y x))
(-.f64 (+.f64 x (.f64 -4 y)) (-.f64 (.f64 -2 y) x))
(+.f64 (.f64 -2 y) (.f64 2 x))
(*.f64 -2 (-.f64 y x))
(-.f64 (*.f64 x 1/2) (+.f64 (+.f64 (-.f64 y x) y) (/.f64 x -2)))
(+.f64 (.f64 -2 y) (.f64 2 x))
(*.f64 -2 (-.f64 y x))
(-.f64 (.f64 x 1/2) (-.f64 (/.f64 x -2) (+.f64 x (.f64 -2 y))))
(+.f64 (.f64 -2 y) (.f64 2 x))
(*.f64 -2 (-.f64 y x))
(-.f64 (.f64 x 1/2) (-.f64 (neg.f64 x) (+.f64 (.f64 -2 y) (*.f64 x 1/2))))
(+.f64 (.f64 -2 y) (.f64 2 x))
(*.f64 -2 (-.f64 y x))
(-.f64 (.f64 x 1/2) (-.f64 (-.f64 (.f64 -2 y) x) (+.f64 (.f64 -4 y) (.f64 x 1/2))))
(+.f64 (.f64 -2 y) (.f64 2 x))
(*.f64 -2 (-.f64 y x))
(-.f64 (*.f64 x 1/2) (+.f64 (+.f64 (+.f64 y y) (/.f64 x -2)) (neg.f64 x)))
(+.f64 (.f64 -2 y) (.f64 2 x))
(*.f64 -2 (-.f64 y x))
(-.f64 (*.f64 x 1/2) (+.f64 (-.f64 (/.f64 x -2) x) (+.f64 y y)))
(+.f64 (.f64 -2 y) (.f64 2 x))
(*.f64 -2 (-.f64 y x))
(-.f64 (.f64 x 1/2) (-.f64 (+.f64 y y) (+.f64 x (.f64 x 1/2))))
(+.f64 (.f64 -2 y) (.f64 2 x))
(*.f64 -2 (-.f64 y x))
(-.f64 (.f64 x 1/2) (/.f64 (-.f64 (neg.f64 x) (+.f64 x (+.f64 x (.f64 -4 y)))) 2))
(-.f64 (.f64 x 1/2) (/.f64 (-.f64 (neg.f64 x) (+.f64 x (+.f64 x (.f64 y -4)))) 2))
(+.f64 (.f64 x 3/2) (neg.f64 (/.f64 (+.f64 x (.f64 y -4)) -2)))
(-.f64 (-.f64 x y) (-.f64 y x))
(+.f64 (.f64 -2 y) (.f64 2 x))
(*.f64 -2 (-.f64 y x))
(-.f64 (neg.f64 y) (+.f64 (*.f64 x -2) y))
(+.f64 (.f64 -2 y) (.f64 2 x))
(*.f64 -2 (-.f64 y x))
(-.f64 (neg.f64 y) (+.f64 y (*.f64 x -2)))
(+.f64 (.f64 -2 y) (.f64 2 x))
(*.f64 -2 (-.f64 y x))
(-.f64 (neg.f64 y) (/.f64 (-.f64 (+.f64 y y) (*.f64 x 4)) 2))
(-.f64 (-.f64 (*.f64 x 1/2) y) (+.f64 (-.f64 y x) (/.f64 x -2)))
(+.f64 (.f64 -2 y) (.f64 2 x))
(*.f64 -2 (-.f64 y x))
(-.f64 (-.f64 (*.f64 x 1/2) y) (+.f64 (+.f64 (/.f64 x -2) y) (neg.f64 x)))
(+.f64 (.f64 -2 y) (.f64 2 x))
(*.f64 -2 (-.f64 y x))
(-.f64 (-.f64 (.f64 -2 y) x) (.f64 x -3))
(-.f64 (.f64 -2 y) (+.f64 (.f64 x -3) x))
(-.f64 (.f64 -2 y) (+.f64 x (.f64 x -3)))
(-.f64 (+.f64 x (-.f64 (*.f64 x 1/2) y)) (+.f64 (/.f64 x -2) y))
(-.f64 (+.f64 x (-.f64 (*.f64 x 1/2) y)) (+.f64 y (/.f64 x -2)))
(-.f64 (-.f64 x (-.f64 y x)) y)
(+.f64 (.f64 -2 y) (.f64 2 x))
(*.f64 -2 (-.f64 y x))
(-.f64 (+.f64 (+.f64 x (.f64 x 1/2)) (.f64 -2 y)) (/.f64 x -2))
(+.f64 (.f64 -2 y) (.f64 2 x))
(*.f64 -2 (-.f64 y x))
(-.f64 (+.f64 x (*.f64 x 1/2)) (+.f64 (+.f64 y y) (/.f64 x -2)))
(+.f64 (.f64 -2 y) (.f64 2 x))
(*.f64 -2 (-.f64 y x))
(-.f64 (+.f64 x (.f64 x 1/2)) (-.f64 (/.f64 x -2) (.f64 -2 y)))
(+.f64 (.f64 -2 y) (.f64 2 x))
(*.f64 -2 (-.f64 y x))
(-.f64 (+.f64 (.f64 -2 y) (.f64 x 1/2)) (-.f64 (/.f64 x -2) x))
(+.f64 (.f64 -2 y) (.f64 2 x))
(*.f64 -2 (-.f64 y x))
(-.f64 (/.f64 (-.f64 x y) 2) (/.f64 (*.f64 -3 (-.f64 x y)) 2))
(/.f64 (-.f64 (-.f64 x y) (*.f64 (-.f64 x y) -3)) 2)
(-.f64 (+.f64 x (+.f64 y y)) (-.f64 (neg.f64 x) (*.f64 -4 y)))
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(*.f64 -2 (-.f64 y x))
(-.f64 (+.f64 x (+.f64 y y)) (-.f64 (*.f64 y 4) x))
(-.f64 x (-.f64 (*.f64 y 4) (+.f64 y (+.f64 y x))))
(+.f64 (-.f64 x (-.f64 (*.f64 y 4) (+.f64 y y))) x)
(+.f64 (-.f64 x (+.f64 (.f64 y 4) (.f64 -2 y))) x)
(-.f64 (+.f64 (.f64 -4 y) (.f64 x 1/2)) (+.f64 (-.f64 (*.f64 -2 y) x) (/.f64 x -2)))
(+.f64 (.f64 -2 y) (.f64 2 x))
(*.f64 -2 (-.f64 y x))
(-.f64 (-.f64 (.f64 -2 y) (-.f64 x x)) (.f64 x -2))
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(*.f64 -2 (-.f64 y x))
(-.f64 (-.f64 x x) (*.f64 -2 (-.f64 x y)))
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(*.f64 -2 (-.f64 y x))
(-.f64 (/.f64 (-.f64 x (-.f64 y x)) 2) (/.f64 (+.f64 (*.f64 -2 (-.f64 x y)) y) 2))
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(*.f64 -2 (-.f64 y x))
(-.f64 (/.f64 (+.f64 (*.f64 -2 (-.f64 y x)) (-.f64 x y)) 2) (/.f64 (-.f64 y x) 2))
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(*.f64 -2 (-.f64 y x))
(-.f64 (/.f64 (.f64 (.f64 -2 (-.f64 y x)) 3) 4) (/.f64 (*.f64 -2 (-.f64 x y)) 4))
(/.f64 (-.f64 (.f64 (.f64 -2 (-.f64 y x)) 3) (*.f64 -2 (-.f64 x y))) 4)
(/.f64 (-.f64 (.f64 (-.f64 y x) -6) (.f64 -2 (-.f64 x y))) 4)
(-.f64 (/.f64 (*.f64 (-.f64 y x) -6) 4) (/.f64 (-.f64 y x) 2))
(-.f64 (/.f64 (+.f64 (.f64 -2 (-.f64 y x)) (neg.f64 y)) 2) (/.f64 (+.f64 (.f64 x -2) y) 2))
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(-.f64 (/.f64 (+.f64 (+.f64 x x) (-.f64 x y)) 2) (/.f64 (+.f64 (*.f64 y 3) (neg.f64 x)) 2))
(/.f64 (-.f64 (+.f64 (-.f64 x y) (+.f64 x x)) (+.f64 (neg.f64 x) (*.f64 y 3))) 2)
(-.f64 x (/.f64 (+.f64 (-.f64 y x) (-.f64 (*.f64 y 3) x)) 2))
(-.f64 (/.f64 (-.f64 x (.f64 y 3)) 2) (/.f64 (-.f64 y (.f64 x 3)) 2))
(/.f64 (-.f64 (-.f64 x (.f64 y 3)) (-.f64 y (.f64 x 3))) 2)
(/.f64 (-.f64 x (+.f64 (-.f64 y (.f64 x 3)) (.f64 y 3))) 2)
(*.f64 -2 (-.f64 y x))
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(.f64 (.f64 -2 (-.f64 y x)) 1)
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(.f64 1 (.f64 -2 (-.f64 y x)))
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(.f64 -1 (.f64 -2 (-.f64 x y)))
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(*.f64 2 (-.f64 x y))
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(*.f64 -2 (-.f64 y x))
(.f64 (.f64 -4 (-.f64 y x)) 1/2)
(+.f64 (.f64 -2 y) (.f64 2 x))
(*.f64 -2 (-.f64 y x))
(.f64 (.f64 -2 (-.f64 x y)) -1)
(+.f64 (.f64 -2 y) (.f64 2 x))
(*.f64 -2 (-.f64 y x))
(.f64 1/2 (.f64 -4 (-.f64 y x)))
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(*.f64 -2 (-.f64 y x))
(*.f64 (-.f64 x y) 2)
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(*.f64 -2 (-.f64 y x))
(.f64 (.f64 (*.f64 -2 (-.f64 y x)) 4) 1/4)
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(.f64 (neg.f64 (.f64 -4 (-.f64 y x))) -1/2)
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(.f64 1/4 (.f64 (*.f64 -2 (-.f64 y x)) 4))
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(*.f64 -2 (-.f64 y x))
(.f64 (.f64 (*.f64 -4 (-.f64 y x)) 4) 1/8)
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(/.f64 (neg.f64 (*.f64 -4 (-.f64 y x))) -2)
(+.f64 (.f64 -2 y) (.f64 2 x))
(*.f64 -2 (-.f64 y x))
(/.f64 (.f64 (.f64 -4 (-.f64 y x)) 4) 8)
(+.f64 (.f64 -2 y) (.f64 2 x))
(*.f64 -2 (-.f64 y x))
(/.f64 (/.f64 (neg.f64 (*.f64 -4 (-.f64 y x))) -1) 2)
(+.f64 (.f64 -2 y) (.f64 2 x))
(*.f64 -2 (-.f64 y x))
(/.f64 (+.f64 (.f64 (+.f64 x x) 4) (.f64 2 (+.f64 (.f64 x 4) (.f64 y -8)))) 8)
(-.f64 (/.f64 (.f64 2 (+.f64 (.f64 x 4) (*.f64 y -8))) 8) (neg.f64 x))
(/.f64 (+.f64 (.f64 y -8) (.f64 (+.f64 x x) 4)) 4)
(/.f64 (+.f64 (.f64 (+.f64 x x) 4) (.f64 y -8)) 4)
(/.f64 (*.f64 (-.f64 x y) 4) 2)
(/.f64 (+.f64 (.f64 2 (+.f64 (.f64 x 4) (.f64 y -8))) (.f64 (+.f64 x x) 4)) 8)
(/.f64 (+.f64 (.f64 (+.f64 x x) 4) (.f64 2 (+.f64 (.f64 x 4) (.f64 y -8)))) 8)
(-.f64 (/.f64 (.f64 2 (+.f64 (.f64 x 4) (*.f64 y -8))) 8) (neg.f64 x))
(/.f64 (+.f64 (.f64 (+.f64 x x) 4) (.f64 y -8)) 4)
(/.f64 (*.f64 (-.f64 x y) 4) 2)
(/.f64 (-.f64 (.f64 x 4) (neg.f64 (+.f64 (.f64 x 4) (*.f64 y -8)))) 4)
(/.f64 (+.f64 (.f64 (+.f64 x x) 4) (.f64 y -8)) 4)
(/.f64 (*.f64 (-.f64 x y) 4) 2)
(/.f64 (-.f64 (+.f64 (.f64 x 4) (.f64 y -8)) (*.f64 x -4)) 4)
(/.f64 (+.f64 (.f64 (+.f64 x x) 4) (.f64 y -8)) 4)
(/.f64 (*.f64 (-.f64 x y) 4) 2)
(/.f64 (-.f64 (.f64 x 4) (.f64 y 4)) 2)
(/.f64 (+.f64 (.f64 (+.f64 x x) 4) (.f64 y -8)) 4)
(/.f64 (*.f64 (-.f64 x y) 4) 2)
(/.f64 (-.f64 (.f64 (+.f64 x x) 4) (neg.f64 (.f64 y -8))) 4)
(/.f64 (+.f64 (.f64 (+.f64 x x) 4) (.f64 y -8)) 4)
(/.f64 (*.f64 (-.f64 x y) 4) 2)
(pow.f64 (*.f64 -2 (-.f64 y x)) 1)
(+.f64 (.f64 -2 y) (.f64 2 x))
(*.f64 -2 (-.f64 y x))
(neg.f64 (*.f64 -2 (-.f64 x y)))
(+.f64 (.f64 -2 y) (.f64 2 x))
(*.f64 -2 (-.f64 y x))
(+.f64 (*.f64 (+.f64 x x) (-.f64 x y)) 0)
(*.f64 (-.f64 x y) (+.f64 x x))
(+.f64 0 (*.f64 (+.f64 x x) (-.f64 x y)))
(*.f64 (-.f64 x y) (+.f64 x x))
(+.f64 (/.f64 (.f64 (+.f64 x x) (-.f64 x y)) 2) (/.f64 (.f64 (+.f64 x x) (-.f64 x y)) 2))
(*.f64 (-.f64 x y) (+.f64 x x))
(+.f64 (/.f64 (.f64 (+.f64 x x) (-.f64 x y)) 4) (/.f64 (/.f64 (.f64 (*.f64 x (-.f64 x y)) 6) 2) 2))
(/.f64 (+.f64 (.f64 (-.f64 x y) (+.f64 x x)) (.f64 (*.f64 x (-.f64 x y)) 6)) 4)
(/.f64 (+.f64 (.f64 (-.f64 x y) (+.f64 x x)) (.f64 (-.f64 x y) (*.f64 x 6))) 4)
(+.f64 (/.f64 (.f64 (+.f64 x x) (-.f64 x y)) 4) (/.f64 (.f64 (*.f64 x (-.f64 x y)) 6) 4))
(/.f64 (+.f64 (.f64 (-.f64 x y) (+.f64 x x)) (.f64 (*.f64 x (-.f64 x y)) 6)) 4)
(/.f64 (+.f64 (.f64 (-.f64 x y) (+.f64 x x)) (.f64 (-.f64 x y) (*.f64 x 6))) 4)
(-.f64 (*.f64 (+.f64 x x) (-.f64 x y)) 0)
(*.f64 (-.f64 x y) (+.f64 x x))
(-.f64 (/.f64 (.f64 (+.f64 x x) (-.f64 x y)) 2) (.f64 (neg.f64 x) (-.f64 x y)))
(-.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x x)) 2) (.f64 (neg.f64 x) (-.f64 x y)))
(-.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x x)) 2) (.f64 x (-.f64 y x)))
(-.f64 (/.f64 (.f64 (+.f64 x x) (-.f64 x y)) 2) (/.f64 (neg.f64 (.f64 (-.f64 y x) (*.f64 x -4))) 4))
(*.f64 (-.f64 x y) (+.f64 x x))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (-.f64 x y)) 6) 2) 2) (/.f64 (*.f64 (neg.f64 x) (-.f64 x y)) 2))
(/.f64 (+.f64 (.f64 (-.f64 x y) (+.f64 x x)) (.f64 (*.f64 x (-.f64 x y)) 6)) 4)
(/.f64 (+.f64 (.f64 (-.f64 x y) (+.f64 x x)) (.f64 (-.f64 x y) (*.f64 x 6))) 4)
(-.f64 (/.f64 (.f64 (.f64 x (-.f64 x y)) 6) 4) (/.f64 (.f64 x (.f64 -2 (-.f64 x y))) 4))
(/.f64 (+.f64 (.f64 (-.f64 x y) (+.f64 x x)) (.f64 (*.f64 x (-.f64 x y)) 6)) 4)
(/.f64 (+.f64 (.f64 (-.f64 x y) (+.f64 x x)) (.f64 (-.f64 x y) (*.f64 x 6))) 4)
(/.f64 (*.f64 (+.f64 x x) (-.f64 x y)) 1)
(*.f64 (-.f64 x y) (+.f64 x x))
(/.f64 (.f64 (-.f64 y x) (.f64 x -4)) 2)
(*.f64 (-.f64 x y) (+.f64 x x))
(/.f64 (.f64 x (.f64 -2 (-.f64 x y))) -1)
(*.f64 (-.f64 x y) (+.f64 x x))
(/.f64 (.f64 (.f64 x (-.f64 x y)) 8) 4)
(*.f64 (-.f64 x y) (+.f64 x x))
(/.f64 (.f64 (.f64 (+.f64 x x) (-.f64 x y)) 8) 8)
(*.f64 (-.f64 x y) (+.f64 x x))
(/.f64 (.f64 4 (.f64 (*.f64 x (-.f64 x y)) 8)) 16)
(*.f64 (-.f64 x y) (+.f64 x x))
(/.f64 (.f64 (neg.f64 x) (.f64 -4 (-.f64 y x))) -2)
(*.f64 (-.f64 x y) (+.f64 x x))
(/.f64 (.f64 (.f64 x -2) (*.f64 -2 (-.f64 y x))) -2)
(*.f64 (-.f64 x y) (+.f64 x x))
(/.f64 (.f64 (+.f64 x x) (.f64 -2 (-.f64 x y))) -2)
(*.f64 (-.f64 x y) (+.f64 x x))
(/.f64 (.f64 (.f64 x -2) (-.f64 x y)) -1)
(*.f64 (-.f64 x y) (+.f64 x x))
(/.f64 (.f64 (.f64 x -2) (*.f64 -4 (-.f64 y x))) -4)
(*.f64 (-.f64 x y) (+.f64 x x))
(/.f64 (.f64 (neg.f64 x) (.f64 (*.f64 -2 (-.f64 y x)) 4)) -4)
(*.f64 (-.f64 x y) (+.f64 x x))
(/.f64 (.f64 (neg.f64 x) (.f64 (*.f64 -4 (-.f64 y x)) 4)) -8)
(*.f64 (-.f64 x y) (+.f64 x x))
(/.f64 (.f64 (.f64 -2 (-.f64 x y)) (+.f64 x x)) -2)
(*.f64 (-.f64 x y) (+.f64 x x))
(/.f64 (.f64 (.f64 -2 (-.f64 x y)) (*.f64 x 4)) -4)
(*.f64 (-.f64 x y) (+.f64 x x))
(/.f64 (.f64 (.f64 -2 (-.f64 x y)) (*.f64 (+.f64 x x) 4)) -8)
(*.f64 (-.f64 x y) (+.f64 x x))
(/.f64 (.f64 (.f64 x -2) (.f64 (.f64 -2 (-.f64 y x)) 4)) -8)
(*.f64 (-.f64 x y) (+.f64 x x))
(/.f64 (.f64 (.f64 -2 (-.f64 y x)) (*.f64 x -2)) -2)
(*.f64 (-.f64 x y) (+.f64 x x))
(/.f64 (.f64 (.f64 -2 (-.f64 y x)) (*.f64 x -4)) -4)
(*.f64 (-.f64 x y) (+.f64 x x))
(/.f64 (.f64 x (neg.f64 (.f64 -4 (-.f64 y x)))) -2)
(*.f64 (-.f64 x y) (+.f64 x x))
(pow.f64 (*.f64 (+.f64 x x) (-.f64 x y)) 1)
(*.f64 (-.f64 x y) (+.f64 x x))

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 17 to 5 computations (70.6% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite220.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

680×	`rational_best-simplify-47`
680×	`rational_best-simplify-83`
658×	`rational_best-simplify-48`
652×	`rational_best-simplify-51`
624×	`rational_best-simplify-52`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	45	19
2	93	19
3	270	19
4	1137	19

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 x y) (+.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 x y) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (-.f64 x y)) (*.f64 x (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 x y) (*.f64 x 1/2)) (/.f64 (*.f64 x (*.f64 (-.f64 x y) 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 x y) (*.f64 x 1/2)) (/.f64 (*.f64 (-.f64 x y) (*.f64 (+.f64 x x) 3)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 x y) (*.f64 x 1/2)) (+.f64 (*.f64 (-.f64 x y) (*.f64 x 1/2)) (*.f64 x (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (-.f64 x y) (+.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (-.f64 x y)) (*.f64 x (-.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x (*.f64 (-.f64 x y) 3)) 2) (/.f64 (*.f64 x (-.f64 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (-.f64 x y) (*.f64 (+.f64 x x) 3)) 4) (/.f64 (*.f64 (-.f64 x y) (*.f64 x -2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (-.f64 x y) (*.f64 x 1/2)) (*.f64 x (-.f64 x y))) (-.f64 0 (*.f64 (-.f64 x y) (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 x y) (+.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 (-.f64 x y) 4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 x y) (*.f64 x -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 x y) (*.f64 (+.f64 x x) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 x y)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 x y) (*.f64 x -4)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 y x) (*.f64 (+.f64 x x) 4)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (-.f64 x y) 2) (*.f64 (*.f64 x 4) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 x y) (*.f64 (*.f64 x 4) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 y x)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 y x) (*.f64 (+.f64 x x) 4)) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 y x) (*.f64 (*.f64 x 4) 4)) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x x) (*.f64 (-.f64 y x) 4)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (-.f64 x y) (*.f64 (*.f64 x 4) 4)) (*.f64 (-.f64 x y) (*.f64 (*.f64 x 4) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (*.f64 (-.f64 x y) 2) (*.f64 (*.f64 x 4) 4)) (*.f64 (*.f64 (-.f64 x y) 2) (*.f64 (*.f64 x 4) 4))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (-.f64 x y) (*.f64 x -4)) (*.f64 (-.f64 x y) (*.f64 x -4))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (-.f64 y x) (*.f64 (+.f64 x x) 4)) (*.f64 (-.f64 y x) (*.f64 (+.f64 x x) 4))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 (-.f64 x y) 2) 4) (*.f64 (*.f64 x 4) 4)) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 x 4) 4) (*.f64 (*.f64 (-.f64 x y) 2) 4)) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (-.f64 y x) 4) (*.f64 x -2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 x y) (+.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (-.f64 x y) (*.f64 x -2)))))))

simplify649.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

1094×	`rational_best-simplify-3`
1076×	`rational_best-simplify-63`
654×	`rational_best-simplify-48`
588×	`rational_best-simplify-1`
542×	`rational_best-simplify-52`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	102	1371
1	259	1323
2	640	1323
3	1650	1323
4	7095	1323

Stop Event

1×	node limit

Counts

57 → 49

Calls

Call 1

Inputs
(.f64 -2 (.f64 y x))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(*.f64 2 (pow.f64 x 2))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(*.f64 2 (pow.f64 x 2))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(*.f64 2 (pow.f64 x 2))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(.f64 -2 (.f64 y x))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(.f64 -2 (.f64 y x))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (*.f64 (-.f64 x y) (+.f64 x x)) 0)
(+.f64 0 (*.f64 (-.f64 x y) (+.f64 x x)))
(+.f64 (.f64 x (-.f64 x y)) (.f64 x (-.f64 x y)))
(+.f64 (.f64 (-.f64 x y) (.f64 x 1/2)) (/.f64 (.f64 x (.f64 (-.f64 x y) 3)) 2))
(+.f64 (.f64 (-.f64 x y) (.f64 x 1/2)) (/.f64 (.f64 (-.f64 x y) (.f64 (+.f64 x x) 3)) 4))
(+.f64 (.f64 (-.f64 x y) (.f64 x 1/2)) (+.f64 (.f64 (-.f64 x y) (.f64 x 1/2)) (*.f64 x (-.f64 x y))))
(-.f64 (*.f64 (-.f64 x y) (+.f64 x x)) 0)
(-.f64 (.f64 x (-.f64 x y)) (.f64 x (-.f64 y x)))
(-.f64 (/.f64 (.f64 x (.f64 (-.f64 x y) 3)) 2) (/.f64 (*.f64 x (-.f64 y x)) 2))
(-.f64 (/.f64 (.f64 (-.f64 x y) (.f64 (+.f64 x x) 3)) 4) (/.f64 (.f64 (-.f64 x y) (.f64 x -2)) 4))
(-.f64 (+.f64 (.f64 (-.f64 x y) (.f64 x 1/2)) (.f64 x (-.f64 x y))) (-.f64 0 (.f64 (-.f64 x y) (*.f64 x 1/2))))
(/.f64 (*.f64 (-.f64 x y) (+.f64 x x)) 1)
(/.f64 (.f64 x (.f64 (-.f64 x y) 4)) 2)
(/.f64 (.f64 (-.f64 x y) (.f64 x -2)) -1)
(/.f64 (.f64 (-.f64 x y) (.f64 (+.f64 x x) 4)) 4)
(/.f64 (*.f64 x (-.f64 x y)) 1/2)
(/.f64 (.f64 (-.f64 x y) (.f64 x -4)) -2)
(/.f64 (.f64 (-.f64 y x) (.f64 (+.f64 x x) 4)) -4)
(/.f64 (.f64 (.f64 (-.f64 x y) 2) (.f64 (.f64 x 4) 4)) 16)
(/.f64 (.f64 (-.f64 x y) (.f64 (*.f64 x 4) 4)) 8)
(/.f64 (*.f64 x (-.f64 y x)) -1/2)
(/.f64 (/.f64 (.f64 (-.f64 y x) (.f64 (+.f64 x x) 4)) 2) -2)
(/.f64 (.f64 (-.f64 y x) (.f64 (*.f64 x 4) 4)) -8)
(/.f64 (.f64 (+.f64 x x) (.f64 (-.f64 y x) 4)) -4)
(/.f64 (+.f64 (.f64 (-.f64 x y) (.f64 (.f64 x 4) 4)) (.f64 (-.f64 x y) (.f64 (.f64 x 4) 4))) 16)
(/.f64 (+.f64 (.f64 (.f64 (-.f64 x y) 2) (.f64 (.f64 x 4) 4)) (.f64 (.f64 (-.f64 x y) 2) (.f64 (.f64 x 4) 4))) 32)
(/.f64 (+.f64 (.f64 (-.f64 x y) (.f64 x -4)) (.f64 (-.f64 x y) (.f64 x -4))) -4)
(/.f64 (+.f64 (.f64 (-.f64 y x) (.f64 (+.f64 x x) 4)) (.f64 (-.f64 y x) (.f64 (+.f64 x x) 4))) -8)
(/.f64 (.f64 (.f64 (.f64 (-.f64 x y) 2) 4) (.f64 (*.f64 x 4) 4)) 64)
(/.f64 (.f64 (.f64 (.f64 x 4) 4) (.f64 (*.f64 (-.f64 x y) 2) 4)) 64)
(/.f64 (.f64 (.f64 (-.f64 y x) 4) (*.f64 x -2)) 4)
(pow.f64 (*.f64 (-.f64 x y) (+.f64 x x)) 1)
(neg.f64 (.f64 (-.f64 x y) (.f64 x -2)))

Outputs
(.f64 -2 (.f64 y x))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 -2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 -2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 -2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(*.f64 2 (pow.f64 x 2))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 -2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 -2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 -2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(*.f64 2 (pow.f64 x 2))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 -2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 -2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 -2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(*.f64 2 (pow.f64 x 2))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 -2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 -2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 -2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(.f64 -2 (.f64 y x))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 -2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 -2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 -2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(.f64 -2 (.f64 y x))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 -2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 -2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 -2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(+.f64 (*.f64 (-.f64 x y) (+.f64 x x)) 0)
(*.f64 (-.f64 x y) (+.f64 x x))
(+.f64 0 (*.f64 (-.f64 x y) (+.f64 x x)))
(*.f64 (-.f64 x y) (+.f64 x x))
(+.f64 (.f64 x (-.f64 x y)) (.f64 x (-.f64 x y)))
(*.f64 (-.f64 x y) (+.f64 x x))
(+.f64 (.f64 (-.f64 x y) (.f64 x 1/2)) (/.f64 (.f64 x (.f64 (-.f64 x y) 3)) 2))
(*.f64 (-.f64 x y) (+.f64 x x))
(+.f64 (.f64 (-.f64 x y) (.f64 x 1/2)) (/.f64 (.f64 (-.f64 x y) (.f64 (+.f64 x x) 3)) 4))
(*.f64 (-.f64 x y) (+.f64 x x))
(+.f64 (.f64 (-.f64 x y) (.f64 x 1/2)) (+.f64 (.f64 (-.f64 x y) (.f64 x 1/2)) (*.f64 x (-.f64 x y))))
(*.f64 (-.f64 x y) (+.f64 x x))
(-.f64 (*.f64 (-.f64 x y) (+.f64 x x)) 0)
(*.f64 (-.f64 x y) (+.f64 x x))
(-.f64 (.f64 x (-.f64 x y)) (.f64 x (-.f64 y x)))
(*.f64 x (-.f64 (-.f64 x y) (-.f64 y x)))
(*.f64 x (-.f64 x (-.f64 y (-.f64 x y))))
(*.f64 x (-.f64 x (+.f64 y (-.f64 y x))))
(-.f64 (/.f64 (.f64 x (.f64 (-.f64 x y) 3)) 2) (/.f64 (*.f64 x (-.f64 y x)) 2))
(/.f64 (-.f64 (.f64 3 (.f64 x (-.f64 x y))) (*.f64 x (-.f64 y x))) 2)
(/.f64 (.f64 x (-.f64 (.f64 (-.f64 x y) 3) (-.f64 y x))) 2)
(/.f64 (.f64 x (-.f64 x (-.f64 y (.f64 (-.f64 x y) 3)))) 2)
(-.f64 (/.f64 (.f64 (-.f64 x y) (.f64 (+.f64 x x) 3)) 4) (/.f64 (.f64 (-.f64 x y) (.f64 x -2)) 4))
(*.f64 (-.f64 x y) (+.f64 x x))
(-.f64 (+.f64 (.f64 (-.f64 x y) (.f64 x 1/2)) (.f64 x (-.f64 x y))) (-.f64 0 (.f64 (-.f64 x y) (*.f64 x 1/2))))
(*.f64 (-.f64 x y) (+.f64 x x))
(/.f64 (*.f64 (-.f64 x y) (+.f64 x x)) 1)
(*.f64 (-.f64 x y) (+.f64 x x))
(/.f64 (.f64 x (.f64 (-.f64 x y) 4)) 2)
(*.f64 (-.f64 x y) (+.f64 x x))
(/.f64 (.f64 (-.f64 x y) (.f64 x -2)) -1)
(*.f64 (-.f64 x y) (+.f64 x x))
(/.f64 (.f64 (-.f64 x y) (.f64 (+.f64 x x) 4)) 4)
(*.f64 (-.f64 x y) (+.f64 x x))
(/.f64 (*.f64 x (-.f64 x y)) 1/2)
(*.f64 (-.f64 x y) (+.f64 x x))
(/.f64 (.f64 (-.f64 x y) (.f64 x -4)) -2)
(*.f64 (-.f64 x y) (+.f64 x x))
(/.f64 (.f64 (-.f64 y x) (.f64 (+.f64 x x) 4)) -4)
(/.f64 (.f64 4 (.f64 (+.f64 x x) (-.f64 y x))) -4)
(/.f64 (.f64 8 (.f64 x (-.f64 y x))) -4)
(/.f64 (.f64 (-.f64 y x) (.f64 x 8)) -4)
(/.f64 (.f64 (-.f64 y x) (.f64 x 32)) -16)
(/.f64 (.f64 (.f64 (-.f64 x y) 2) (.f64 (.f64 x 4) 4)) 16)
(*.f64 (-.f64 x y) (+.f64 x x))
(/.f64 (.f64 (-.f64 x y) (.f64 (*.f64 x 4) 4)) 8)
(*.f64 (-.f64 x y) (+.f64 x x))
(/.f64 (*.f64 x (-.f64 y x)) -1/2)
(.f64 -2 (.f64 x (-.f64 y x)))
(/.f64 (/.f64 (.f64 (-.f64 y x) (.f64 (+.f64 x x) 4)) 2) -2)
(/.f64 (.f64 4 (.f64 (+.f64 x x) (-.f64 y x))) -4)
(/.f64 (.f64 8 (.f64 x (-.f64 y x))) -4)
(/.f64 (.f64 (-.f64 y x) (.f64 x 8)) -4)
(/.f64 (.f64 (-.f64 y x) (.f64 x 32)) -16)
(/.f64 (.f64 (-.f64 y x) (.f64 (*.f64 x 4) 4)) -8)
(/.f64 (.f64 4 (.f64 (+.f64 x x) (-.f64 y x))) -4)
(/.f64 (.f64 8 (.f64 x (-.f64 y x))) -4)
(/.f64 (.f64 (-.f64 y x) (.f64 x 8)) -4)
(/.f64 (.f64 (-.f64 y x) (.f64 x 32)) -16)
(/.f64 (.f64 (+.f64 x x) (.f64 (-.f64 y x) 4)) -4)
(/.f64 (.f64 4 (.f64 (+.f64 x x) (-.f64 y x))) -4)
(/.f64 (.f64 8 (.f64 x (-.f64 y x))) -4)
(/.f64 (.f64 (-.f64 y x) (.f64 x 8)) -4)
(/.f64 (.f64 (-.f64 y x) (.f64 x 32)) -16)
(/.f64 (+.f64 (.f64 (-.f64 x y) (.f64 (.f64 x 4) 4)) (.f64 (-.f64 x y) (.f64 (.f64 x 4) 4))) 16)
(*.f64 (-.f64 x y) (+.f64 x x))
(/.f64 (+.f64 (.f64 (.f64 (-.f64 x y) 2) (.f64 (.f64 x 4) 4)) (.f64 (.f64 (-.f64 x y) 2) (.f64 (.f64 x 4) 4))) 32)
(*.f64 (-.f64 x y) (+.f64 x x))
(/.f64 (+.f64 (.f64 (-.f64 x y) (.f64 x -4)) (.f64 (-.f64 x y) (.f64 x -4))) -4)
(*.f64 (-.f64 x y) (+.f64 x x))
(/.f64 (+.f64 (.f64 (-.f64 y x) (.f64 (+.f64 x x) 4)) (.f64 (-.f64 y x) (.f64 (+.f64 x x) 4))) -8)
(/.f64 (.f64 4 (.f64 (+.f64 x x) (-.f64 y x))) -4)
(/.f64 (.f64 8 (.f64 x (-.f64 y x))) -4)
(/.f64 (.f64 (-.f64 y x) (.f64 x 8)) -4)
(/.f64 (.f64 (-.f64 y x) (.f64 x 32)) -16)
(/.f64 (.f64 (.f64 (.f64 (-.f64 x y) 2) 4) (.f64 (*.f64 x 4) 4)) 64)
(*.f64 (-.f64 x y) (+.f64 x x))
(/.f64 (.f64 (.f64 (.f64 x 4) 4) (.f64 (*.f64 (-.f64 x y) 2) 4)) 64)
(*.f64 (-.f64 x y) (+.f64 x x))
(/.f64 (.f64 (.f64 (-.f64 y x) 4) (*.f64 x -2)) 4)
(/.f64 (.f64 4 (.f64 (+.f64 x x) (-.f64 y x))) -4)
(/.f64 (.f64 8 (.f64 x (-.f64 y x))) -4)
(/.f64 (.f64 (-.f64 y x) (.f64 x 8)) -4)
(/.f64 (.f64 (-.f64 y x) (.f64 x 32)) -16)
(pow.f64 (*.f64 (-.f64 x y) (+.f64 x x)) 1)
(*.f64 (-.f64 x y) (+.f64 x x))
(neg.f64 (.f64 (-.f64 x y) (.f64 x -2)))
(*.f64 (-.f64 x y) (+.f64 x x))

eval522.0ms (2.9%)

Compiler: Compiled 3485 to 1923 computations (44.8% saved)

prune381.0ms (2.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	267	2	269
Fresh	0	0	0
Picked	0	1	1
Done	1	2	3
Total	268	5	273

Error

Counts

273 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(*.f64 (-.f64 x y) (+.f64 x x))
▶	23.5b	(.f64 y (.f64 -2 x))
✓	0.0b	(.f64 x (+.f64 x (+.f64 x (.f64 -2 y))))
▶	29.6b	(*.f64 x (+.f64 x x))
✓	0.0b	(.f64 2 (-.f64 (.f64 x x) (*.f64 x y)))

Compiler

Compiled 45 to 28 computations (37.8% saved)

localize27.0ms (0.2%)

Compiler: Compiled 11 to 4 computations (63.6% saved)

localize24.0ms (0.1%)

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

eval0.0ms (0%)

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

prune3.0ms (0%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	4	4
Total	5	5

Error

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(*.f64 (-.f64 x y) (+.f64 x x))
✓	23.5b	(.f64 y (.f64 -2 x))
✓	0.0b	(.f64 x (+.f64 x (+.f64 x (.f64 -2 y))))
✓	29.6b	(*.f64 x (+.f64 x x))
✓	0.0b	(.f64 2 (-.f64 (.f64 x x) (*.f64 x y)))

Compiler

Compiled 45 to 28 computations (37.8% saved)

regimes110.0ms (0.6%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

4 calls:

33.0ms	y
27.0ms	(-.f64 (.f64 x x) (.f64 x y))
26.0ms	x
21.0ms	(.f64 2 (-.f64 (.f64 x x) (*.f64 x y)))

Results

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

Compiler

Compiled 75 to 41 computations (45.3% saved)

regimes29.0ms (0.2%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

20.0ms	y
8.0ms	x

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`

Compiler

Compiled 30 to 18 computations (40% saved)

regimes181.0ms (1%)

Accuracy

Total -45.4b remaining (-686.4%)

Threshold costs -45.4b (-686.4%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

2 calls:

108.0ms	y
71.0ms	x

Results

Error	Segments	Branch
10.9b	3	`x`
6.6b	3	`y`

Compiler

Compiled 23 to 14 computations (39.1% saved)

bsearch72.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
35.0ms	3.8457946201549513e-79	8.19559534798057e-64
37.0ms	-1.938882606707469e-42	-5.833938163762041e-43

Results

67.0ms

240×

body

256

valid

Compiler

Compiled 256 to 176 computations (31.3% saved)

simplify21.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	108

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(*.f64 (-.f64 x y) (+.f64 x x))
(.f64 2 (.f64 x (-.f64 x y)))
(if (<=.f64 y -6904811908925349/6277101735386680763835789423207666416102355444464034512896) (.f64 -2 (.f64 y x)) (if (<=.f64 y 493255773416689/15177100720513508366558296147058741458143803430094840009779784451085189728165691392) (.f64 x (+.f64 x x)) (.f64 -2 (*.f64 y x))))
(.f64 -2 (.f64 y x))

Outputs
(*.f64 (-.f64 x y) (+.f64 x x))
(.f64 2 (.f64 x (-.f64 x y)))
(if (<=.f64 y -6904811908925349/6277101735386680763835789423207666416102355444464034512896) (.f64 -2 (.f64 y x)) (if (<=.f64 y 493255773416689/15177100720513508366558296147058741458143803430094840009779784451085189728165691392) (.f64 x (+.f64 x x)) (.f64 -2 (*.f64 y x))))
(.f64 -2 (.f64 y x))

Compiler

Compiled 50 to 31 computations (38% saved)

soundness762.0ms (4.3%)

Algorithm

2×	egg-herbie

Rules

1298×	`rational_best-simplify-1`
1252×	`rational_best-simplify-63`
1122×	`rational_best-simplify-56`
922×	`rational_best-simplify-108`
738×	`rational_best-simplify-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	15	19
2	20	19
3	25	19
4	31	19
5	31	19
0	363	4591
1	893	4507
2	2452	4459
3	6836	4413

Stop Event

1×	node limit
1×	saturated

Compiler

Compiled 38 to 18 computations (52.6% saved)

end381.0ms (2.1%)

Compiler: Compiled 44 to 22 computations (50% saved)

Details

analyze285.0ms (1.6%)

sample5.2s (29.1%)

preprocess12.0ms (0.1%)

simplify57.0ms (0.3%)

eval1.0ms (0%)

prune26.0ms (0.1%)

localize224.0ms (1.3%)

series35.0ms (0.2%)

rewrite560.0ms (3.1%)

simplify1.7s (9.4%)

localize59.0ms (0.3%)

series5.0ms (0%)

rewrite585.0ms (3.3%)

simplify1.0s (5.8%)

eval1.3s (7.4%)

prune1.4s (8%)

localize17.0ms (0.1%)

series5.0ms (0%)

rewrite392.0ms (2.2%)

simplify414.0ms (2.3%)

localize47.0ms (0.3%)

series4.0ms (0%)

rewrite278.0ms (1.6%)

simplify781.0ms (4.4%)

localize10.0ms (0.1%)

series1.0ms (0%)

rewrite220.0ms (1.2%)

simplify649.0ms (3.6%)

eval522.0ms (2.9%)

prune381.0ms (2.1%)

localize27.0ms (0.2%)

localize24.0ms (0.1%)

eval0.0ms (0%)

prune3.0ms (0%)

regimes110.0ms (0.6%)

regimes29.0ms (0.2%)

regimes181.0ms (1%)

bsearch72.0ms (0.4%)

simplify21.0ms (0.1%)

soundness762.0ms (4.3%)

end381.0ms (2.1%)

Profiling