Details

analyze3.0ms (0.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
50%	50%	50%	0%	0%	0%	0%	3
75%	75%	25%	0%	0%	0%	0%	4
87.5%	87.5%	12.5%	0%	0%	0%	0%	5
93.8%	93.7%	6.2%	0%	0%	0%	0%	6
96.9%	96.8%	3.1%	0%	0%	0%	0%	7
98.4%	98.4%	1.6%	0%	0%	0%	0%	8
99.2%	99.2%	0.8%	0%	0%	0%	0%	9
99.6%	99.6%	0.4%	0%	0%	0%	0%	10
99.8%	99.8%	0.2%	0%	0%	0%	0%	11
99.9%	99.9%	0.1%	0%	0%	0%	0%	12

Compiler

Compiled 8 to 6 computations (25% saved)

sample705.0ms (11.9%)

Results

695.0ms	8256×	body	256	valid
0.0ms	2×	body	256	infinite

Bogosity

preprocess6.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

32×	`rational.json-simplify-50`
16×	`rational.json-simplify-75`
14×	`rational.json-simplify-76`
12×	`rational.json-simplify-53`
8×	`rational.json-simplify-24`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	12	17
2	18	17
3	26	17
4	44	17
5	63	17
6	67	17
7	68	17
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(sqrt.f64 (.f64 2 (.f64 x x)))

Outputs
(sqrt.f64 (.f64 2 (.f64 x x)))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

32×	`rational.json-simplify-50`
16×	`rational.json-simplify-75`
14×	`rational.json-simplify-76`
12×	`rational.json-simplify-53`
8×	`rational.json-simplify-24`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	12	17
2	18	17
3	26	17
4	44	17
5	63	17
6	67	17
7	68	17

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

Inputs
(sqrt.f64 (.f64 2 (.f64 x x)))

Outputs
(sqrt.f64 (.f64 2 (.f64 x x)))

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

28.7b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	28.7b	(sqrt.f64 (.f64 2 (.f64 x x)))

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 2 (.f64 x x))
✓	27.8b	(sqrt.f64 (.f64 2 (.f64 x x)))

Compiler

Compiled 17 to 8 computations (52.9% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite79.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1972×	`rational.json-1`
956×	`rational.json-2`
956×	`rational.json-3`
952×	`rational.json-4`
818×	`rational.json-simplify-67`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	30
1	46	30
2	134	30
3	592	30
4	3920	30
5	7886	30

Stop Event

1×	node limit

Counts

2 → 183

Calls

Call 1

Inputs
(sqrt.f64 (.f64 2 (.f64 x x)))
(.f64 2 (.f64 x x))

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

Outputs

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

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

simplify80.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1080×	`rational.json-simplify-21`
1032×	`rational.json-simplify-1`
964×	`rational.json-simplify-29`
936×	`rational.json-simplify-33`
858×	`rational.json-simplify-23`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	387	3915
1	1233	3645
2	4676	3601

Stop Event

1×	node limit

Counts

207 → 231

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(+.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 0)
(+.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 0))
(+.f64 0 (sqrt.f64 (*.f64 x (+.f64 x x))))
(+.f64 (neg.f64 (sqrt.f64 (.f64 x (+.f64 x x)))) (.f64 2 (sqrt.f64 (*.f64 x (+.f64 x x)))))
(+.f64 (.f64 2 (sqrt.f64 (.f64 x (+.f64 x x)))) (neg.f64 (sqrt.f64 (*.f64 x (+.f64 x x)))))
(+.f64 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 0) (sqrt.f64 (*.f64 x (+.f64 x x))))
(+.f64 (.f64 2 (.f64 2 (sqrt.f64 (.f64 x (+.f64 x x))))) (neg.f64 (.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 3)))
(+.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 3)) (.f64 2 (.f64 2 (sqrt.f64 (*.f64 x (+.f64 x x))))))
(+.f64 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 1/2) (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 1/2))
(-.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 0)
(-.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 0))
(-.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (+.f64 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 0) (.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 0)))
(-.f64 0 (neg.f64 (sqrt.f64 (*.f64 x (+.f64 x x)))))
(-.f64 (neg.f64 (sqrt.f64 (.f64 x (+.f64 x x)))) (neg.f64 (.f64 2 (sqrt.f64 (*.f64 x (+.f64 x x))))))
(-.f64 (neg.f64 (sqrt.f64 (.f64 x (+.f64 x x)))) (.f64 -1 (.f64 2 (sqrt.f64 (.f64 x (+.f64 x x))))))
(-.f64 (.f64 2 (sqrt.f64 (.f64 x (+.f64 x x)))) (sqrt.f64 (*.f64 x (+.f64 x x))))
(-.f64 (.f64 2 (sqrt.f64 (.f64 x (+.f64 x x)))) (+.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (+.f64 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 0) (.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 0))))
(-.f64 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 0) (neg.f64 (sqrt.f64 (*.f64 x (+.f64 x x)))))
(-.f64 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 3) (.f64 2 (sqrt.f64 (.f64 x (+.f64 x x)))))
(-.f64 (-.f64 (neg.f64 (sqrt.f64 (.f64 x (+.f64 x x)))) (sqrt.f64 (.f64 x (+.f64 x x)))) (+.f64 (neg.f64 (sqrt.f64 (.f64 x (+.f64 x x)))) (neg.f64 (.f64 2 (sqrt.f64 (*.f64 x (+.f64 x x)))))))
(-.f64 (-.f64 (neg.f64 (sqrt.f64 (.f64 x (+.f64 x x)))) (sqrt.f64 (.f64 x (+.f64 x x)))) (+.f64 (neg.f64 (sqrt.f64 (.f64 x (+.f64 x x)))) (.f64 -1 (.f64 2 (sqrt.f64 (.f64 x (+.f64 x x)))))))
(-.f64 (.f64 2 (.f64 2 (sqrt.f64 (.f64 x (+.f64 x x))))) (.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 3))
(-.f64 (-.f64 (.f64 2 (sqrt.f64 (.f64 x (+.f64 x x)))) (neg.f64 (.f64 2 (sqrt.f64 (.f64 x (+.f64 x x)))))) (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 3))
(-.f64 (.f64 1/2 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 3)) (.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 1/2))
(-.f64 (+.f64 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 3) (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 3)) (+.f64 (.f64 2 (sqrt.f64 (.f64 x (+.f64 x x)))) (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 3)))
(-.f64 (+.f64 (.f64 2 (.f64 2 (sqrt.f64 (.f64 x (+.f64 x x))))) (.f64 2 (.f64 2 (sqrt.f64 (.f64 x (+.f64 x x)))))) (+.f64 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 3) (.f64 2 (.f64 2 (sqrt.f64 (*.f64 x (+.f64 x x)))))))
(-.f64 (+.f64 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 0) (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 0)) (neg.f64 (sqrt.f64 (*.f64 x (+.f64 x x)))))
(-.f64 (+.f64 (-.f64 (.f64 2 (sqrt.f64 (.f64 x (+.f64 x x)))) (neg.f64 (.f64 2 (sqrt.f64 (.f64 x (+.f64 x x)))))) (-.f64 (.f64 2 (sqrt.f64 (.f64 x (+.f64 x x)))) (neg.f64 (.f64 2 (sqrt.f64 (.f64 x (+.f64 x x))))))) (+.f64 (-.f64 (.f64 2 (sqrt.f64 (.f64 x (+.f64 x x)))) (neg.f64 (.f64 2 (sqrt.f64 (.f64 x (+.f64 x x)))))) (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 3)))
(-.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 3)) (.f64 1/2 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 3))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 3)) (.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 1/2)))
(-.f64 (+.f64 (+.f64 (.f64 2 (.f64 2 (sqrt.f64 (.f64 x (+.f64 x x))))) (.f64 2 (.f64 2 (sqrt.f64 (.f64 x (+.f64 x x)))))) (+.f64 (.f64 2 (.f64 2 (sqrt.f64 (.f64 x (+.f64 x x))))) (.f64 2 (.f64 2 (sqrt.f64 (.f64 x (+.f64 x x))))))) (+.f64 (+.f64 (.f64 2 (.f64 2 (sqrt.f64 (.f64 x (+.f64 x x))))) (.f64 2 (.f64 2 (sqrt.f64 (.f64 x (+.f64 x x)))))) (+.f64 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 3) (.f64 2 (.f64 2 (sqrt.f64 (*.f64 x (+.f64 x x))))))))
(.f64 2 (/.f64 1/2 (/.f64 1 (sqrt.f64 (.f64 x (+.f64 x x))))))
(.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 1)
(.f64 1 (sqrt.f64 (.f64 x (+.f64 x x))))
(.f64 -1 (neg.f64 (sqrt.f64 (.f64 x (+.f64 x x)))))
(.f64 (neg.f64 (sqrt.f64 (.f64 x (+.f64 x x)))) -1)
(.f64 -2 (/.f64 1/2 (/.f64 1 (neg.f64 (sqrt.f64 (.f64 x (+.f64 x x)))))))
(.f64 (.f64 2 (sqrt.f64 (*.f64 x (+.f64 x x)))) 1/2)
(.f64 1/2 (.f64 2 (sqrt.f64 (*.f64 x (+.f64 x x)))))
(.f64 (-.f64 (neg.f64 (sqrt.f64 (.f64 x (+.f64 x x)))) (sqrt.f64 (*.f64 x (+.f64 x x)))) -1/2)
(.f64 -1/2 (-.f64 (neg.f64 (sqrt.f64 (.f64 x (+.f64 x x)))) (sqrt.f64 (*.f64 x (+.f64 x x)))))
(.f64 -1/2 (-.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 3)))
(.f64 -1/2 (neg.f64 (.f64 2 (sqrt.f64 (*.f64 x (+.f64 x x))))))
(.f64 (-.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 3)) -1/2)
(.f64 (neg.f64 (.f64 2 (sqrt.f64 (*.f64 x (+.f64 x x))))) -1/2)
(.f64 (/.f64 1/2 (/.f64 1 (sqrt.f64 (.f64 x (+.f64 x x))))) 2)
(/.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 1)
(/.f64 1 (/.f64 1 (sqrt.f64 (*.f64 x (+.f64 x x)))))
(/.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 (*.f64 x (+.f64 x x))))))
(/.f64 (neg.f64 (sqrt.f64 (*.f64 x (+.f64 x x)))) -1)
(/.f64 1/2 (/.f64 1 (.f64 2 (sqrt.f64 (.f64 x (+.f64 x x))))))
(/.f64 1/2 (/.f64 -1 (-.f64 (neg.f64 (sqrt.f64 (.f64 x (+.f64 x x)))) (sqrt.f64 (.f64 x (+.f64 x x))))))
(neg.f64 (neg.f64 (sqrt.f64 (*.f64 x (+.f64 x x)))))
(+.f64 (.f64 x x) (.f64 x x))
(+.f64 (*.f64 x x) (/.f64 -1 (/.f64 (/.f64 -1 x) x)))
(+.f64 (*.f64 x (+.f64 x x)) 0)
(+.f64 (*.f64 x (+.f64 x x)) (-.f64 x x))
(+.f64 (.f64 x (+.f64 x x)) (.f64 x (-.f64 x x)))
(+.f64 (*.f64 x (+.f64 x x)) (/.f64 -1 (/.f64 (/.f64 1 x) 0)))
(+.f64 (*.f64 x (+.f64 x x)) (/.f64 -1 (/.f64 1 (-.f64 x x))))
(+.f64 0 (*.f64 x (+.f64 x x)))
(+.f64 (.f64 x (neg.f64 x)) (.f64 x (*.f64 x 3)))
(+.f64 (.f64 x (.f64 x -2)) (.f64 x (.f64 x 4)))
(+.f64 (-.f64 x x) (*.f64 x (+.f64 x x)))
(+.f64 (-.f64 x x) (/.f64 -1 (neg.f64 (/.f64 (/.f64 1/2 x) x))))
(+.f64 (.f64 x (.f64 x 4)) (.f64 x (.f64 x -2)))
(+.f64 (.f64 x (-.f64 x x)) (.f64 x (+.f64 x x)))
(+.f64 (.f64 x (.f64 x 3)) (*.f64 x (neg.f64 x)))
(+.f64 (.f64 2 (.f64 x (.f64 x 4))) (neg.f64 (.f64 (*.f64 x x) 6)))
(+.f64 (.f64 2 (.f64 x (.f64 x 4))) (-.f64 (-.f64 x x) (.f64 (*.f64 x x) 6)))
(+.f64 (neg.f64 (.f64 (.f64 x x) 6)) (.f64 2 (.f64 x (*.f64 x 4))))
(+.f64 (-.f64 (-.f64 x x) (.f64 (.f64 x x) 6)) (.f64 2 (.f64 x (*.f64 x 4))))
(-.f64 (.f64 x x) (.f64 x (neg.f64 x)))
(-.f64 (*.f64 x (+.f64 x x)) 0)
(-.f64 (*.f64 x (+.f64 x x)) (-.f64 x x))
(-.f64 (.f64 x (+.f64 x x)) (.f64 x (-.f64 x x)))
(-.f64 0 (.f64 x (.f64 x -2)))
(-.f64 (.f64 x (neg.f64 x)) (neg.f64 (.f64 x (*.f64 x 3))))
(-.f64 (.f64 x (neg.f64 x)) (-.f64 (-.f64 x x) (.f64 x (*.f64 x 3))))
(-.f64 (.f64 x (.f64 x -2)) (neg.f64 (.f64 x (.f64 x 4))))
(-.f64 (.f64 x (.f64 x -2)) (.f64 (.f64 x (+.f64 x x)) -2))
(-.f64 (.f64 x (.f64 x -2)) (.f64 -1 (.f64 x (*.f64 x 4))))
(-.f64 (.f64 x (.f64 x -2)) (+.f64 (.f64 x (neg.f64 x)) (neg.f64 (.f64 x (*.f64 x 3)))))
(-.f64 (.f64 x (.f64 x -2)) (+.f64 (.f64 x (neg.f64 x)) (-.f64 (-.f64 x x) (.f64 x (*.f64 x 3)))))
(-.f64 (-.f64 x x) (.f64 x (.f64 x -2)))
(-.f64 (-.f64 x x) (/.f64 1 (/.f64 1 (.f64 x (.f64 x -2)))))
(-.f64 (.f64 x (.f64 x 4)) (*.f64 x (+.f64 x x)))
(-.f64 (.f64 x (-.f64 x x)) (.f64 x (*.f64 x -2)))
(-.f64 (.f64 (.f64 x x) 6) (.f64 x (.f64 x 4)))
(-.f64 (.f64 x (.f64 x 3)) (*.f64 x x))
(-.f64 (/.f64 (.f64 x (.f64 x -2)) 1/2) (+.f64 (.f64 x (.f64 x -2)) (neg.f64 (.f64 x (.f64 x 4)))))
(-.f64 (/.f64 (.f64 x (.f64 x -2)) 1/2) (+.f64 (.f64 x (.f64 x -2)) (.f64 (.f64 x (+.f64 x x)) -2)))
(-.f64 (/.f64 (.f64 x (.f64 x -2)) 1/2) (+.f64 (.f64 x (.f64 x -2)) (.f64 -1 (.f64 x (*.f64 x 4)))))
(-.f64 (.f64 2 (.f64 x (.f64 x 4))) (.f64 (*.f64 x x) 6))
(-.f64 (-.f64 (.f64 2 (.f64 x (.f64 x 4))) (-.f64 x x)) (.f64 (*.f64 x x) 6))
(-.f64 (-.f64 (.f64 x (.f64 x 4)) (neg.f64 (.f64 x (.f64 x 4)))) (.f64 (.f64 x x) 6))
(-.f64 (+.f64 (.f64 x x) (.f64 x (.f64 x 4))) (.f64 x (*.f64 x 3)))
(-.f64 (+.f64 (-.f64 x x) (.f64 2 (.f64 x (.f64 x 4)))) (.f64 (*.f64 x x) 6))
(-.f64 (.f64 (/.f64 (.f64 x 4) 1/2) x) (.f64 (/.f64 (.f64 x 3) 1/2) x))
(-.f64 (+.f64 (.f64 (.f64 x x) 6) (.f64 (.f64 x x) 6)) (+.f64 (.f64 x (.f64 x 4)) (.f64 (.f64 x x) 6)))
(-.f64 (+.f64 (.f64 2 (.f64 x (.f64 x 4))) (.f64 2 (.f64 x (.f64 x 4)))) (+.f64 (.f64 (.f64 x x) 6) (.f64 2 (.f64 x (*.f64 x 4)))))
(-.f64 (+.f64 (+.f64 (.f64 x x) (.f64 x (.f64 x 4))) (+.f64 (.f64 x x) (.f64 x (.f64 x 4)))) (+.f64 (+.f64 (.f64 x x) (.f64 x (.f64 x 4))) (.f64 x (*.f64 x 3))))
(-.f64 (+.f64 (-.f64 (.f64 2 (.f64 x (.f64 x 4))) (-.f64 x x)) (-.f64 (.f64 2 (.f64 x (.f64 x 4))) (-.f64 x x))) (+.f64 (-.f64 (.f64 2 (.f64 x (.f64 x 4))) (-.f64 x x)) (.f64 (*.f64 x x) 6)))
(-.f64 (+.f64 (-.f64 (.f64 x (.f64 x 4)) (neg.f64 (.f64 x (.f64 x 4)))) (-.f64 (.f64 x (.f64 x 4)) (neg.f64 (.f64 x (.f64 x 4))))) (+.f64 (-.f64 (.f64 x (.f64 x 4)) (neg.f64 (.f64 x (.f64 x 4)))) (.f64 (.f64 x x) 6)))
(-.f64 (+.f64 (+.f64 (-.f64 x x) (.f64 2 (.f64 x (.f64 x 4)))) (+.f64 (-.f64 x x) (.f64 2 (.f64 x (.f64 x 4))))) (+.f64 (+.f64 (-.f64 x x) (.f64 2 (.f64 x (.f64 x 4)))) (.f64 (*.f64 x x) 6)))
(-.f64 (+.f64 (.f64 (/.f64 (.f64 x 4) 1/2) x) (.f64 (/.f64 (.f64 x 4) 1/2) x)) (+.f64 (.f64 (/.f64 (.f64 x 4) 1/2) x) (.f64 (/.f64 (.f64 x 3) 1/2) x)))
(-.f64 (+.f64 (+.f64 (.f64 2 (.f64 x (.f64 x 4))) (.f64 2 (.f64 x (.f64 x 4)))) (+.f64 (.f64 2 (.f64 x (.f64 x 4))) (.f64 2 (.f64 x (.f64 x 4))))) (+.f64 (+.f64 (.f64 2 (.f64 x (.f64 x 4))) (.f64 2 (.f64 x (.f64 x 4)))) (+.f64 (.f64 (.f64 x x) 6) (.f64 2 (.f64 x (*.f64 x 4))))))
(/.f64 2 (/.f64 (/.f64 1 x) x))
(/.f64 2 (fabs.f64 (/.f64 -1 (*.f64 x x))))
(/.f64 x (/.f64 1/2 x))
(/.f64 (*.f64 x x) 1/2)
(/.f64 (*.f64 x (+.f64 x x)) 1)
(/.f64 1 (/.f64 (/.f64 1/2 x) x))
(/.f64 1 (fabs.f64 (/.f64 1 (.f64 x (.f64 x -2)))))
(/.f64 1 (fabs.f64 (neg.f64 (/.f64 (/.f64 1/2 x) x))))
(/.f64 -1 (/.f64 1 (.f64 x (.f64 x -2))))
(/.f64 (*.f64 x (neg.f64 x)) -1/2)
(/.f64 (neg.f64 x) (/.f64 (/.f64 -1 x) 2))
(/.f64 (neg.f64 x) (*.f64 1/2 (/.f64 -1 x)))
(/.f64 (neg.f64 x) (neg.f64 (/.f64 1/2 x)))
(/.f64 (neg.f64 x) (/.f64 1 (*.f64 x -2)))
(/.f64 (.f64 x (.f64 x -2)) -1)
(/.f64 -2 (neg.f64 (/.f64 (/.f64 1 x) x)))
(/.f64 -2 (/.f64 -1 (*.f64 x x)))
(/.f64 -2 (.f64 (/.f64 -1/2 (.f64 x x)) 2))
(/.f64 (+.f64 x x) (/.f64 1 x))
(/.f64 1/2 (/.f64 (/.f64 (/.f64 1 x) x) 4))
(/.f64 1/2 (*.f64 (/.f64 (/.f64 1 x) x) 1/4))
(/.f64 1/2 (/.f64 (/.f64 1/2 x) (+.f64 x x)))
(/.f64 1/2 (/.f64 1 (.f64 x (.f64 x 4))))
(/.f64 1/2 (fabs.f64 (*.f64 (/.f64 (/.f64 1 x) x) 1/4)))
(/.f64 1/2 (fabs.f64 (/.f64 1 (.f64 x (.f64 x 4)))))
(/.f64 1/2 (fabs.f64 (/.f64 (/.f64 (/.f64 1 x) x) 4)))
(/.f64 1/2 (fabs.f64 (/.f64 (/.f64 1/2 x) (+.f64 x x))))
(/.f64 (fabs.f64 x) (/.f64 1/2 (fabs.f64 x)))
(/.f64 (fabs.f64 x) (fabs.f64 (/.f64 (/.f64 -1 x) 2)))
(/.f64 (fabs.f64 x) (fabs.f64 (/.f64 1 (*.f64 x -2))))
(/.f64 (fabs.f64 x) (fabs.f64 (*.f64 1/2 (/.f64 -1 x))))
(/.f64 (*.f64 2 (fabs.f64 x)) (/.f64 1 (fabs.f64 x)))
(/.f64 4 (/.f64 (/.f64 (/.f64 1 x) x) 1/2))
(/.f64 4 (fabs.f64 (/.f64 (/.f64 (/.f64 1 x) x) 1/2)))
(/.f64 (*.f64 x -2) (/.f64 -1 x))
(/.f64 (*.f64 x -2) (-.f64 (/.f64 1 x) (/.f64 (/.f64 1 x) 1/2)))
(/.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) 1/4))
(/.f64 (-.f64 (.f64 -2 (.f64 x 3)) (.f64 -2 (.f64 x 4))) (/.f64 1 x))
(/.f64 (-.f64 (neg.f64 (.f64 x 3)) (neg.f64 (.f64 x 4))) (/.f64 1/2 x))
(/.f64 (fabs.f64 (*.f64 -2 (fabs.f64 x))) (/.f64 1 (fabs.f64 x)))
(neg.f64 (.f64 x (.f64 x -2)))
(fabs.f64 (*.f64 x (+.f64 x x)))
(fabs.f64 (.f64 x (.f64 x -2)))
(fabs.f64 (-.f64 (.f64 x (.f64 x -2)) (/.f64 (.f64 x (.f64 x -2)) 1/2)))
(fabs.f64 (-.f64 (-.f64 (-.f64 x x) (.f64 x (.f64 x 3))) (*.f64 x (neg.f64 x))))
(fabs.f64 (-.f64 (.f64 -1 (.f64 x (.f64 x 4))) (.f64 x (*.f64 x -2))))
(fabs.f64 (-.f64 (.f64 (.f64 x x) 6) (-.f64 (.f64 2 (.f64 x (*.f64 x 4))) (-.f64 x x))))
(fabs.f64 (-.f64 (.f64 (.f64 x x) 6) (-.f64 (.f64 x (.f64 x 4)) (neg.f64 (.f64 x (.f64 x 4))))))
(fabs.f64 (-.f64 (.f64 x (.f64 x 3)) (+.f64 (.f64 x x) (.f64 x (*.f64 x 4)))))
(fabs.f64 (-.f64 (.f64 (.f64 x x) 6) (+.f64 (-.f64 x x) (.f64 2 (.f64 x (*.f64 x 4))))))
(fabs.f64 (-.f64 (.f64 (/.f64 (.f64 x 3) 1/2) x) (.f64 (/.f64 (.f64 x 4) 1/2) x)))
(fabs.f64 (-.f64 (+.f64 (.f64 (.f64 x x) 6) (.f64 2 (.f64 x (.f64 x 4)))) (+.f64 (.f64 2 (.f64 x (.f64 x 4))) (.f64 2 (.f64 x (*.f64 x 4))))))
(fabs.f64 (-.f64 (neg.f64 (.f64 (.f64 x x) 6)) (neg.f64 (.f64 2 (.f64 x (*.f64 x 4))))))
(fabs.f64 (-.f64 (.f64 x (.f64 x -2)) (.f64 (neg.f64 x) (.f64 x 4))))
(fabs.f64 (-.f64 (.f64 -2 (.f64 x (.f64 x 3))) (.f64 -2 (.f64 x (.f64 x 4)))))
(fabs.f64 (-.f64 (.f64 x (neg.f64 x)) (.f64 (neg.f64 x) (*.f64 x 3))))
(fabs.f64 (+.f64 (.f64 x (fabs.f64 x)) (.f64 x (fabs.f64 x))))
(fabs.f64 (+.f64 (.f64 x (neg.f64 (fabs.f64 x))) (.f64 x (neg.f64 (fabs.f64 x)))))
(fabs.f64 (+.f64 (/.f64 (fabs.f64 x) (/.f64 1 x)) (/.f64 (fabs.f64 x) (/.f64 1 x))))
(fabs.f64 (.f64 x (.f64 2 (fabs.f64 x))))
(fabs.f64 (.f64 (neg.f64 x) (.f64 2 (fabs.f64 x))))
(fabs.f64 (*.f64 (fabs.f64 x) (+.f64 x x)))
(fabs.f64 (.f64 (fabs.f64 x) (.f64 x -2)))
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 x)) (+.f64 x x)))
(fabs.f64 (.f64 (neg.f64 (fabs.f64 x)) (.f64 x -2)))
(fabs.f64 (*.f64 (+.f64 x x) (fabs.f64 x)))
(fabs.f64 (*.f64 (+.f64 x x) (neg.f64 (fabs.f64 x))))
(fabs.f64 (.f64 (.f64 2 (fabs.f64 x)) x))
(fabs.f64 (.f64 (.f64 2 (fabs.f64 x)) (neg.f64 x)))
(fabs.f64 (.f64 (.f64 x -2) (fabs.f64 x)))
(fabs.f64 (.f64 (.f64 x -2) (neg.f64 (fabs.f64 x))))
(fabs.f64 (/.f64 (fabs.f64 x) (/.f64 1/2 x)))
(fabs.f64 (/.f64 (neg.f64 (fabs.f64 x)) (/.f64 1/2 x)))
(fabs.f64 (/.f64 (+.f64 x x) (/.f64 1 (fabs.f64 x))))
(fabs.f64 (/.f64 (*.f64 2 (fabs.f64 x)) (/.f64 1 x)))
(fabs.f64 (/.f64 (*.f64 2 (fabs.f64 x)) (/.f64 -1 x)))
(fabs.f64 (/.f64 (*.f64 x -2) (/.f64 1 (fabs.f64 x))))

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

eval48.0ms (0.8%)

Compiler: Compiled 3368 to 1753 computations (48% saved)

prune50.0ms (0.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	225	6	231
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	225	7	232

Error

0.2b

Counts

232 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	32.7b	(*.f64 (sqrt.f64 2) (neg.f64 x))
▶	30.2b	(*.f64 (sqrt.f64 2) x)
▶	28.7b	(sqrt.f64 (/.f64 x (/.f64 1/2 x)))
	28.9b	(sqrt.f64 (+.f64 (.f64 x (.f64 x 8)) (.f64 (.f64 x x) -6)))
▶	28.8b	(sqrt.f64 (.f64 x (-.f64 (.f64 x 3) x)))
▶	28.9b	(sqrt.f64 (.f64 x (-.f64 (.f64 x -6) (*.f64 x -8))))
✓	28.7b	(sqrt.f64 (.f64 2 (.f64 x x)))

Compiler

Compiled 109 to 79 computations (27.5% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 x (/.f64 1/2 x))
✓	27.8b	(sqrt.f64 (/.f64 x (/.f64 1/2 x)))

Compiler

Compiled 17 to 11 computations (35.3% saved)

series0.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite60.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1192×	`rational.json-1`
1192×	`rational.json-2`
1192×	`rational.json-4`
1192×	`rational.json-3`
646×	`rational.json-simplify-50`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	30
1	49	30
2	159	30
3	692	30
4	5030	30

Stop Event

1×	node limit

Counts

2 → 110

Calls

Call 1

Inputs
(sqrt.f64 (/.f64 x (/.f64 1/2 x)))
(/.f64 x (/.f64 1/2 x))

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

Outputs

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

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

simplify71.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1162×	`rational.json-simplify-6`
1140×	`rational.json-simplify-3`
1040×	`rational.json-simplify-2`
964×	`rational.json-simplify-24`
936×	`rational.json-simplify-12`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	187	2046
1	487	2038
2	1836	2038

Stop Event

1×	node limit

Counts

134 → 120

Calls

Call 1

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

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

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.4b	(*.f64 (sqrt.f64 2) x)

Compiler

Compiled 9 to 7 computations (22.2% saved)

series0.0ms (0%)

Counts

1 → 0

Calls

3 calls:

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

rewrite67.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1542×	`rational.json-1`
1542×	`rational.json-2`
1542×	`rational.json-3`
1514×	`rational.json-4`
714×	`rational.json-simplify-67`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	38	11
2	106	11
3	474	11
4	3604	11
5	6653	11

Stop Event

1×	node limit

Counts

1 → 123

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 2) x)

Outputs

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

simplify68.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1674×	`rational.json-simplify-21`
1376×	`rational.json-simplify-23`
1236×	`rational.json-simplify-1`
982×	`rational.json-simplify-29`
480×	`rational.json-simplify-63`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	262	2695
1	934	2317
2	4497	2309

Stop Event

1×	node limit

Counts

123 → 138

Calls

Call 1

Inputs
(+.f64 (*.f64 (sqrt.f64 2) x) 0)
(+.f64 (.f64 (sqrt.f64 2) x) (.f64 (sqrt.f64 2) 0))
(+.f64 (*.f64 (sqrt.f64 2) x) (-.f64 x x))
(+.f64 (.f64 (sqrt.f64 2) x) (.f64 (sqrt.f64 2) (-.f64 x x)))
(+.f64 (.f64 (sqrt.f64 2) x) (.f64 0 (-.f64 x (sqrt.f64 2))))
(+.f64 (.f64 (sqrt.f64 2) x) (+.f64 (.f64 (sqrt.f64 2) 0) (*.f64 0 (-.f64 x (sqrt.f64 2)))))
(+.f64 (.f64 (sqrt.f64 2) x) (+.f64 (-.f64 x x) (.f64 0 (-.f64 x (sqrt.f64 2)))))
(+.f64 (.f64 (sqrt.f64 2) x) (-.f64 (.f64 0 (-.f64 x (sqrt.f64 2))) (*.f64 (sqrt.f64 2) 0)))
(+.f64 (.f64 (sqrt.f64 2) x) (-.f64 (.f64 0 (-.f64 x (sqrt.f64 2))) (-.f64 x x)))
(+.f64 (.f64 (sqrt.f64 2) x) (-.f64 (.f64 0 (-.f64 x (sqrt.f64 2))) (*.f64 (sqrt.f64 2) (-.f64 x x))))
(+.f64 (*.f64 (sqrt.f64 2) x) (/.f64 -1 (/.f64 (/.f64 1 x) 0)))
(+.f64 (*.f64 (sqrt.f64 2) x) (/.f64 -1 (/.f64 1 (-.f64 x x))))
(+.f64 (*.f64 (sqrt.f64 2) x) (/.f64 -1 (/.f64 (/.f64 1 (sqrt.f64 2)) 0)))
(+.f64 (.f64 (sqrt.f64 2) x) (/.f64 -1 (/.f64 1 (.f64 (sqrt.f64 2) 0))))
(+.f64 0 (*.f64 (sqrt.f64 2) x))
(+.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 2 (*.f64 (sqrt.f64 2) x)))
(+.f64 (.f64 (sqrt.f64 2) 0) (.f64 (sqrt.f64 2) x))
(+.f64 (*.f64 (sqrt.f64 2) 0) (/.f64 -1 (/.f64 (/.f64 -1 x) (sqrt.f64 2))))
(+.f64 (*.f64 (sqrt.f64 2) 0) (/.f64 -1 (/.f64 (/.f64 -1 (sqrt.f64 2)) x)))
(+.f64 (*.f64 (sqrt.f64 2) 0) (/.f64 -1 (neg.f64 (/.f64 (/.f64 1 x) (sqrt.f64 2)))))
(+.f64 (-.f64 x x) (*.f64 (sqrt.f64 2) x))
(+.f64 (-.f64 x x) (/.f64 -1 (/.f64 (/.f64 -1 x) (sqrt.f64 2))))
(+.f64 (-.f64 x x) (/.f64 -1 (/.f64 (/.f64 -1 (sqrt.f64 2)) x)))
(+.f64 (-.f64 x x) (/.f64 -1 (neg.f64 (/.f64 (/.f64 1 x) (sqrt.f64 2)))))
(+.f64 (.f64 2 (.f64 (sqrt.f64 2) x)) (*.f64 (sqrt.f64 2) (neg.f64 x)))
(+.f64 (.f64 (sqrt.f64 2) (-.f64 x x)) (.f64 (sqrt.f64 2) x))
(+.f64 (.f64 0 (-.f64 x (sqrt.f64 2))) (.f64 (sqrt.f64 2) x))
(+.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 2) x))) (neg.f64 (.f64 (sqrt.f64 2) (*.f64 x 3))))
(+.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 2) x))) (-.f64 (.f64 (sqrt.f64 2) 0) (.f64 (sqrt.f64 2) (.f64 x 3))))
(+.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 2) x))) (-.f64 (-.f64 x x) (.f64 (sqrt.f64 2) (*.f64 x 3))))
(+.f64 (+.f64 (.f64 (sqrt.f64 2) 0) (.f64 0 (-.f64 x (sqrt.f64 2)))) (*.f64 (sqrt.f64 2) x))
(+.f64 (+.f64 (-.f64 x x) (.f64 0 (-.f64 x (sqrt.f64 2)))) (.f64 (sqrt.f64 2) x))
(+.f64 (neg.f64 (.f64 (sqrt.f64 2) (.f64 x 3))) (.f64 2 (.f64 2 (*.f64 (sqrt.f64 2) x))))
(+.f64 (-.f64 (.f64 (sqrt.f64 2) 0) (.f64 (sqrt.f64 2) (.f64 x 3))) (.f64 2 (.f64 2 (.f64 (sqrt.f64 2) x))))
(+.f64 (-.f64 (-.f64 x x) (.f64 (sqrt.f64 2) (.f64 x 3))) (.f64 2 (.f64 2 (*.f64 (sqrt.f64 2) x))))
(+.f64 (-.f64 (.f64 0 (-.f64 x (sqrt.f64 2))) (.f64 (sqrt.f64 2) 0)) (*.f64 (sqrt.f64 2) x))
(+.f64 (-.f64 (.f64 0 (-.f64 x (sqrt.f64 2))) (-.f64 x x)) (.f64 (sqrt.f64 2) x))
(+.f64 (-.f64 (.f64 0 (-.f64 x (sqrt.f64 2))) (.f64 (sqrt.f64 2) (-.f64 x x))) (*.f64 (sqrt.f64 2) x))
(+.f64 (.f64 (.f64 (sqrt.f64 2) x) 1/2) (.f64 (.f64 (sqrt.f64 2) x) 1/2))
(-.f64 (*.f64 (sqrt.f64 2) x) 0)
(-.f64 (.f64 (sqrt.f64 2) x) (.f64 (sqrt.f64 2) 0))
(-.f64 (*.f64 (sqrt.f64 2) x) (-.f64 x x))
(-.f64 (.f64 (sqrt.f64 2) x) (.f64 (sqrt.f64 2) (-.f64 x x)))
(-.f64 (.f64 (sqrt.f64 2) x) (.f64 0 (-.f64 x (sqrt.f64 2))))
(-.f64 (.f64 (sqrt.f64 2) x) (+.f64 (.f64 (sqrt.f64 2) 0) (*.f64 0 (-.f64 x (sqrt.f64 2)))))
(-.f64 (.f64 (sqrt.f64 2) x) (+.f64 (-.f64 x x) (.f64 0 (-.f64 x (sqrt.f64 2)))))
(-.f64 (.f64 (sqrt.f64 2) x) (-.f64 (.f64 0 (-.f64 x (sqrt.f64 2))) (*.f64 (sqrt.f64 2) 0)))
(-.f64 (.f64 (sqrt.f64 2) x) (-.f64 (.f64 0 (-.f64 x (sqrt.f64 2))) (-.f64 x x)))
(-.f64 (.f64 (sqrt.f64 2) x) (-.f64 (.f64 0 (-.f64 x (sqrt.f64 2))) (*.f64 (sqrt.f64 2) (-.f64 x x))))
(-.f64 (.f64 (sqrt.f64 2) x) (+.f64 (.f64 (sqrt.f64 2) (-.f64 x x)) (*.f64 (sqrt.f64 2) (-.f64 x x))))
(-.f64 0 (*.f64 (sqrt.f64 2) (neg.f64 x)))
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (neg.f64 (.f64 2 (*.f64 (sqrt.f64 2) x))))
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (-.f64 (.f64 (sqrt.f64 2) 0) (.f64 2 (.f64 (sqrt.f64 2) x))))
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (-.f64 (-.f64 x x) (.f64 2 (*.f64 (sqrt.f64 2) x))))
(-.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) (/.f64 (+.f64 x x) (/.f64 -1 (sqrt.f64 2))))
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (/.f64 (.f64 2 (sqrt.f64 2)) (/.f64 -1 x)))
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 x (/.f64 (neg.f64 (sqrt.f64 2)) 1/2)))
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 (sqrt.f64 2) (-.f64 (neg.f64 x) x)))
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 -1 (.f64 2 (.f64 (sqrt.f64 2) x))))
(-.f64 (.f64 (sqrt.f64 2) 0) (.f64 (sqrt.f64 2) (neg.f64 x)))
(-.f64 (.f64 (sqrt.f64 2) 0) (/.f64 1 (/.f64 1 (.f64 (sqrt.f64 2) (neg.f64 x)))))
(-.f64 (-.f64 x x) (*.f64 (sqrt.f64 2) (neg.f64 x)))
(-.f64 (-.f64 x x) (/.f64 1 (/.f64 1 (*.f64 (sqrt.f64 2) (neg.f64 x)))))
(-.f64 (.f64 2 (.f64 (sqrt.f64 2) x)) (*.f64 (sqrt.f64 2) x))
(-.f64 (.f64 2 (.f64 (sqrt.f64 2) x)) (+.f64 (.f64 (sqrt.f64 2) x) (+.f64 (.f64 (sqrt.f64 2) (-.f64 x x)) (*.f64 (sqrt.f64 2) (-.f64 x x)))))
(-.f64 (.f64 (sqrt.f64 2) (-.f64 x x)) (.f64 (sqrt.f64 2) (neg.f64 x)))
(-.f64 (.f64 0 (-.f64 x (sqrt.f64 2))) (.f64 (sqrt.f64 2) (neg.f64 x)))
(-.f64 (-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 (sqrt.f64 2) x)) (+.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (neg.f64 (.f64 2 (*.f64 (sqrt.f64 2) x)))))
(-.f64 (-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 (sqrt.f64 2) x)) (+.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (-.f64 (.f64 (sqrt.f64 2) 0) (.f64 2 (.f64 (sqrt.f64 2) x)))))
(-.f64 (-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 (sqrt.f64 2) x)) (+.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (-.f64 (-.f64 x x) (.f64 2 (*.f64 (sqrt.f64 2) x)))))
(-.f64 (-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 (sqrt.f64 2) x)) (+.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) (/.f64 (+.f64 x x) (/.f64 -1 (sqrt.f64 2)))))
(-.f64 (-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 (sqrt.f64 2) x)) (+.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (/.f64 (.f64 2 (sqrt.f64 2)) (/.f64 -1 x))))
(-.f64 (-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 (sqrt.f64 2) x)) (+.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 x (/.f64 (neg.f64 (sqrt.f64 2)) 1/2))))
(-.f64 (-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 (sqrt.f64 2) x)) (+.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 (sqrt.f64 2) (-.f64 (neg.f64 x) x))))
(-.f64 (-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 (sqrt.f64 2) x)) (+.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 -1 (.f64 2 (.f64 (sqrt.f64 2) x)))))
(-.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 2) x))) (.f64 (sqrt.f64 2) (*.f64 x 3)))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x 3)) (.f64 2 (.f64 (sqrt.f64 2) x)))
(-.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 2) x)) (neg.f64 (.f64 2 (.f64 (sqrt.f64 2) x)))) (.f64 (sqrt.f64 2) (.f64 x 3)))
(-.f64 (+.f64 (.f64 (sqrt.f64 2) 0) (.f64 2 (.f64 2 (.f64 (sqrt.f64 2) x)))) (.f64 (sqrt.f64 2) (.f64 x 3)))
(-.f64 (+.f64 (-.f64 x x) (.f64 2 (.f64 2 (.f64 (sqrt.f64 2) x)))) (.f64 (sqrt.f64 2) (*.f64 x 3)))
(-.f64 (.f64 (sqrt.f64 2) (+.f64 x (.f64 x 3))) (.f64 (sqrt.f64 2) (.f64 x 3)))
(-.f64 (/.f64 (.f64 2 (sqrt.f64 2)) (/.f64 1/2 x)) (.f64 (sqrt.f64 2) (*.f64 x 3)))
(-.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 x 3))) (.f64 (*.f64 (sqrt.f64 2) x) 1/2))
(-.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 x 3)) (.f64 (sqrt.f64 2) (.f64 x 3))) (+.f64 (.f64 2 (.f64 (sqrt.f64 2) x)) (.f64 (sqrt.f64 2) (.f64 x 3))))
(-.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 2) x))) (.f64 2 (.f64 2 (.f64 (sqrt.f64 2) x)))) (+.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 2) x))) (.f64 (sqrt.f64 2) (*.f64 x 3))))
(-.f64 (+.f64 (.f64 (sqrt.f64 2) (-.f64 x x)) (.f64 (sqrt.f64 2) (-.f64 x x))) (*.f64 (sqrt.f64 2) (neg.f64 x)))
(-.f64 (+.f64 (.f64 0 (-.f64 x (sqrt.f64 2))) (.f64 0 (-.f64 x (sqrt.f64 2)))) (*.f64 (sqrt.f64 2) (neg.f64 x)))
(-.f64 (+.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 2) x)) (neg.f64 (.f64 2 (.f64 (sqrt.f64 2) x)))) (-.f64 (.f64 2 (.f64 (sqrt.f64 2) x)) (neg.f64 (.f64 2 (.f64 (sqrt.f64 2) x))))) (+.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 2) x)) (neg.f64 (.f64 2 (.f64 (sqrt.f64 2) x)))) (.f64 (sqrt.f64 2) (.f64 x 3))))
(-.f64 (+.f64 (+.f64 (.f64 (sqrt.f64 2) 0) (.f64 2 (.f64 2 (.f64 (sqrt.f64 2) x)))) (+.f64 (.f64 (sqrt.f64 2) 0) (.f64 2 (.f64 2 (.f64 (sqrt.f64 2) x))))) (+.f64 (+.f64 (.f64 (sqrt.f64 2) 0) (.f64 2 (.f64 2 (.f64 (sqrt.f64 2) x)))) (.f64 (sqrt.f64 2) (.f64 x 3))))
(-.f64 (+.f64 (+.f64 (-.f64 x x) (.f64 2 (.f64 2 (.f64 (sqrt.f64 2) x)))) (+.f64 (-.f64 x x) (.f64 2 (.f64 2 (.f64 (sqrt.f64 2) x))))) (+.f64 (+.f64 (-.f64 x x) (.f64 2 (.f64 2 (.f64 (sqrt.f64 2) x)))) (.f64 (sqrt.f64 2) (*.f64 x 3))))
(-.f64 (+.f64 (.f64 (sqrt.f64 2) (+.f64 x (.f64 x 3))) (.f64 (sqrt.f64 2) (+.f64 x (.f64 x 3)))) (+.f64 (.f64 (sqrt.f64 2) (+.f64 x (.f64 x 3))) (.f64 (sqrt.f64 2) (.f64 x 3))))
(-.f64 (+.f64 (/.f64 (.f64 2 (sqrt.f64 2)) (/.f64 1/2 x)) (/.f64 (.f64 2 (sqrt.f64 2)) (/.f64 1/2 x))) (+.f64 (/.f64 (.f64 2 (sqrt.f64 2)) (/.f64 1/2 x)) (.f64 (sqrt.f64 2) (*.f64 x 3))))
(-.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 x 3))) (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 x 3)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 x 3))) (.f64 (*.f64 (sqrt.f64 2) x) 1/2)))
(-.f64 (+.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 2) x))) (.f64 2 (.f64 2 (.f64 (sqrt.f64 2) x)))) (+.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 2) x))) (.f64 2 (.f64 2 (.f64 (sqrt.f64 2) x))))) (+.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 2) x))) (.f64 2 (.f64 2 (.f64 (sqrt.f64 2) x)))) (+.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 2) x))) (.f64 (sqrt.f64 2) (*.f64 x 3)))))
(/.f64 (sqrt.f64 2) (/.f64 1 x))
(/.f64 x (/.f64 1 (sqrt.f64 2)))
(/.f64 (*.f64 (sqrt.f64 2) x) 1)
(/.f64 1 (/.f64 (/.f64 1 x) (sqrt.f64 2)))
(/.f64 -1 (/.f64 1 (*.f64 (sqrt.f64 2) (neg.f64 x))))
(/.f64 (neg.f64 x) (/.f64 -1 (sqrt.f64 2)))
(/.f64 (neg.f64 x) (-.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 (/.f64 1 (sqrt.f64 2)) 1/2)))
(/.f64 (neg.f64 (sqrt.f64 2)) (/.f64 -1 x))
(/.f64 (neg.f64 (sqrt.f64 2)) (-.f64 (/.f64 1 x) (/.f64 (/.f64 1 x) 1/2)))
(/.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) -1)
(/.f64 (+.f64 x x) (/.f64 (/.f64 1 (sqrt.f64 2)) 1/2))
(/.f64 (*.f64 2 (sqrt.f64 2)) (/.f64 (/.f64 1 x) 1/2))
(/.f64 1/2 (/.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 x x)))
(/.f64 1/2 (/.f64 (/.f64 1 x) (*.f64 2 (sqrt.f64 2))))
(/.f64 1/2 (/.f64 (/.f64 1/2 x) (sqrt.f64 2)))
(/.f64 1/2 (/.f64 (/.f64 1/2 (sqrt.f64 2)) x))
(/.f64 1/2 (/.f64 1 (.f64 2 (.f64 (sqrt.f64 2) x))))
(/.f64 1/2 (/.f64 -1 (-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 (sqrt.f64 2) x))))
(/.f64 (*.f64 x 1/2) (/.f64 1/2 (sqrt.f64 2)))
(/.f64 (*.f64 (sqrt.f64 2) 1/2) (/.f64 1/2 x))
(/.f64 (-.f64 (.f64 (sqrt.f64 2) 3) (-.f64 (.f64 2 (sqrt.f64 2)) (/.f64 (neg.f64 (sqrt.f64 2)) 1/2))) (/.f64 -1 x))
(/.f64 (-.f64 (.f64 (sqrt.f64 2) 1/2) (.f64 1/2 (*.f64 (sqrt.f64 2) 3))) (/.f64 -1 x))
(/.f64 (-.f64 (+.f64 (.f64 2 (.f64 2 (sqrt.f64 2))) (.f64 (sqrt.f64 2) 3)) (+.f64 (.f64 2 (.f64 2 (sqrt.f64 2))) (.f64 2 (*.f64 2 (sqrt.f64 2))))) (/.f64 -1 x))
(/.f64 (-.f64 (*.f64 x 3) (-.f64 (+.f64 x x) (-.f64 (neg.f64 x) x))) (/.f64 -1 (sqrt.f64 2)))
(/.f64 (-.f64 (.f64 x 1/2) (.f64 1/2 (*.f64 x 3))) (/.f64 -1 (sqrt.f64 2)))
(/.f64 (-.f64 (+.f64 (+.f64 x (.f64 x 3)) (.f64 x 3)) (+.f64 (+.f64 x (.f64 x 3)) (+.f64 x (.f64 x 3)))) (/.f64 -1 (sqrt.f64 2)))
(/.f64 (-.f64 (neg.f64 (.f64 x 3)) (neg.f64 (+.f64 x (.f64 x 3)))) (/.f64 1 (sqrt.f64 2)))
(/.f64 (-.f64 (neg.f64 (.f64 (sqrt.f64 2) 3)) (neg.f64 (.f64 2 (*.f64 2 (sqrt.f64 2))))) (/.f64 1 x))
(neg.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)))

Outputs
(+.f64 (*.f64 (sqrt.f64 2) x) 0)
(*.f64 (sqrt.f64 2) x)
(+.f64 (.f64 (sqrt.f64 2) x) (.f64 (sqrt.f64 2) 0))
(*.f64 (sqrt.f64 2) x)
(+.f64 (*.f64 (sqrt.f64 2) x) (-.f64 x x))
(+.f64 x (-.f64 (*.f64 (sqrt.f64 2) x) x))
(+.f64 (.f64 (sqrt.f64 2) x) (.f64 (sqrt.f64 2) (-.f64 x x)))
(*.f64 (sqrt.f64 2) x)
(+.f64 (.f64 (sqrt.f64 2) x) (.f64 0 (-.f64 x (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) x)
(+.f64 (.f64 (sqrt.f64 2) x) (+.f64 (.f64 (sqrt.f64 2) 0) (*.f64 0 (-.f64 x (sqrt.f64 2)))))
(*.f64 (sqrt.f64 2) x)
(+.f64 (.f64 (sqrt.f64 2) x) (+.f64 (-.f64 x x) (.f64 0 (-.f64 x (sqrt.f64 2)))))
(+.f64 x (-.f64 (*.f64 (sqrt.f64 2) x) x))
(+.f64 (.f64 (sqrt.f64 2) x) (-.f64 (.f64 0 (-.f64 x (sqrt.f64 2))) (*.f64 (sqrt.f64 2) 0)))
(*.f64 (sqrt.f64 2) x)
(+.f64 (.f64 (sqrt.f64 2) x) (-.f64 (.f64 0 (-.f64 x (sqrt.f64 2))) (-.f64 x x)))
(+.f64 x (-.f64 (*.f64 (sqrt.f64 2) x) x))
(+.f64 (.f64 (sqrt.f64 2) x) (-.f64 (.f64 0 (-.f64 x (sqrt.f64 2))) (*.f64 (sqrt.f64 2) (-.f64 x x))))
(*.f64 (sqrt.f64 2) x)
(+.f64 (*.f64 (sqrt.f64 2) x) (/.f64 -1 (/.f64 (/.f64 1 x) 0)))
(*.f64 (sqrt.f64 2) x)
(+.f64 (*.f64 (sqrt.f64 2) x) (/.f64 -1 (/.f64 1 (-.f64 x x))))
(+.f64 x (-.f64 (*.f64 (sqrt.f64 2) x) x))
(+.f64 (*.f64 (sqrt.f64 2) x) (/.f64 -1 (/.f64 (/.f64 1 (sqrt.f64 2)) 0)))
(*.f64 (sqrt.f64 2) x)
(+.f64 (.f64 (sqrt.f64 2) x) (/.f64 -1 (/.f64 1 (.f64 (sqrt.f64 2) 0))))
(*.f64 (sqrt.f64 2) x)
(+.f64 0 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) x)
(+.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 2 (*.f64 (sqrt.f64 2) x)))
(*.f64 (sqrt.f64 2) x)
(+.f64 (.f64 (sqrt.f64 2) 0) (.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) x)
(+.f64 (*.f64 (sqrt.f64 2) 0) (/.f64 -1 (/.f64 (/.f64 -1 x) (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) x)
(+.f64 (*.f64 (sqrt.f64 2) 0) (/.f64 -1 (/.f64 (/.f64 -1 (sqrt.f64 2)) x)))
(*.f64 (sqrt.f64 2) x)
(+.f64 (*.f64 (sqrt.f64 2) 0) (/.f64 -1 (neg.f64 (/.f64 (/.f64 1 x) (sqrt.f64 2)))))
(*.f64 (sqrt.f64 2) x)
(+.f64 (-.f64 x x) (*.f64 (sqrt.f64 2) x))
(+.f64 x (-.f64 (*.f64 (sqrt.f64 2) x) x))
(+.f64 (-.f64 x x) (/.f64 -1 (/.f64 (/.f64 -1 x) (sqrt.f64 2))))
(+.f64 x (-.f64 (*.f64 (sqrt.f64 2) x) x))
(+.f64 (-.f64 x x) (/.f64 -1 (/.f64 (/.f64 -1 (sqrt.f64 2)) x)))
(+.f64 x (-.f64 (*.f64 (sqrt.f64 2) x) x))
(+.f64 (-.f64 x x) (/.f64 -1 (neg.f64 (/.f64 (/.f64 1 x) (sqrt.f64 2)))))
(+.f64 x (-.f64 (*.f64 (sqrt.f64 2) x) x))
(+.f64 (.f64 2 (.f64 (sqrt.f64 2) x)) (*.f64 (sqrt.f64 2) (neg.f64 x)))
(*.f64 (sqrt.f64 2) x)
(+.f64 (.f64 (sqrt.f64 2) (-.f64 x x)) (.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) x)
(+.f64 (.f64 0 (-.f64 x (sqrt.f64 2))) (.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) x)
(+.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 2) x))) (neg.f64 (.f64 (sqrt.f64 2) (*.f64 x 3))))
(+.f64 (.f64 (sqrt.f64 2) (/.f64 x 1/4)) (.f64 (sqrt.f64 2) (*.f64 x -3)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 4 x)) (.f64 (sqrt.f64 2) (.f64 x -3)))
(+.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 2) x))) (-.f64 (.f64 (sqrt.f64 2) 0) (.f64 (sqrt.f64 2) (.f64 x 3))))
(+.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 2) x))) (neg.f64 (.f64 (sqrt.f64 2) (*.f64 x 3))))
(+.f64 (.f64 (sqrt.f64 2) (/.f64 x 1/4)) (.f64 (sqrt.f64 2) (*.f64 x -3)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 4 x)) (.f64 (sqrt.f64 2) (.f64 x -3)))
(+.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 2) x))) (-.f64 (-.f64 x x) (.f64 (sqrt.f64 2) (*.f64 x 3))))
(+.f64 (-.f64 x x) (-.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 2) x))) (.f64 (sqrt.f64 2) (*.f64 x 3))))
(+.f64 (-.f64 x (.f64 (sqrt.f64 2) (.f64 x 3))) (-.f64 (*.f64 (sqrt.f64 2) (/.f64 x 1/4)) x))
(+.f64 (.f64 (sqrt.f64 2) (.f64 4 x)) (-.f64 (-.f64 x x) (.f64 (sqrt.f64 2) (.f64 x 3))))
(+.f64 (+.f64 (.f64 (sqrt.f64 2) 0) (.f64 0 (-.f64 x (sqrt.f64 2)))) (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) x)
(+.f64 (+.f64 (-.f64 x x) (.f64 0 (-.f64 x (sqrt.f64 2)))) (.f64 (sqrt.f64 2) x))
(+.f64 x (-.f64 (*.f64 (sqrt.f64 2) x) x))
(+.f64 (neg.f64 (.f64 (sqrt.f64 2) (.f64 x 3))) (.f64 2 (.f64 2 (*.f64 (sqrt.f64 2) x))))
(+.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 2) x))) (neg.f64 (.f64 (sqrt.f64 2) (*.f64 x 3))))
(+.f64 (.f64 (sqrt.f64 2) (/.f64 x 1/4)) (.f64 (sqrt.f64 2) (*.f64 x -3)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 4 x)) (.f64 (sqrt.f64 2) (.f64 x -3)))
(+.f64 (-.f64 (.f64 (sqrt.f64 2) 0) (.f64 (sqrt.f64 2) (.f64 x 3))) (.f64 2 (.f64 2 (.f64 (sqrt.f64 2) x))))
(+.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 2) x))) (neg.f64 (.f64 (sqrt.f64 2) (*.f64 x 3))))
(+.f64 (.f64 (sqrt.f64 2) (/.f64 x 1/4)) (.f64 (sqrt.f64 2) (*.f64 x -3)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 4 x)) (.f64 (sqrt.f64 2) (.f64 x -3)))
(+.f64 (-.f64 (-.f64 x x) (.f64 (sqrt.f64 2) (.f64 x 3))) (.f64 2 (.f64 2 (*.f64 (sqrt.f64 2) x))))
(+.f64 (-.f64 x x) (-.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 2) x))) (.f64 (sqrt.f64 2) (*.f64 x 3))))
(+.f64 (-.f64 x (.f64 (sqrt.f64 2) (.f64 x 3))) (-.f64 (*.f64 (sqrt.f64 2) (/.f64 x 1/4)) x))
(+.f64 (.f64 (sqrt.f64 2) (.f64 4 x)) (-.f64 (-.f64 x x) (.f64 (sqrt.f64 2) (.f64 x 3))))
(+.f64 (-.f64 (.f64 0 (-.f64 x (sqrt.f64 2))) (.f64 (sqrt.f64 2) 0)) (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) x)
(+.f64 (-.f64 (.f64 0 (-.f64 x (sqrt.f64 2))) (-.f64 x x)) (.f64 (sqrt.f64 2) x))
(+.f64 x (-.f64 (*.f64 (sqrt.f64 2) x) x))
(+.f64 (-.f64 (.f64 0 (-.f64 x (sqrt.f64 2))) (.f64 (sqrt.f64 2) (-.f64 x x))) (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) x)
(+.f64 (.f64 (.f64 (sqrt.f64 2) x) 1/2) (.f64 (.f64 (sqrt.f64 2) x) 1/2))
(*.f64 (sqrt.f64 2) x)
(-.f64 (*.f64 (sqrt.f64 2) x) 0)
(*.f64 (sqrt.f64 2) x)
(-.f64 (.f64 (sqrt.f64 2) x) (.f64 (sqrt.f64 2) 0))
(*.f64 (sqrt.f64 2) x)
(-.f64 (*.f64 (sqrt.f64 2) x) (-.f64 x x))
(+.f64 x (-.f64 (*.f64 (sqrt.f64 2) x) x))
(-.f64 (.f64 (sqrt.f64 2) x) (.f64 (sqrt.f64 2) (-.f64 x x)))
(*.f64 (sqrt.f64 2) x)
(-.f64 (.f64 (sqrt.f64 2) x) (.f64 0 (-.f64 x (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) x)
(-.f64 (.f64 (sqrt.f64 2) x) (+.f64 (.f64 (sqrt.f64 2) 0) (*.f64 0 (-.f64 x (sqrt.f64 2)))))
(*.f64 (sqrt.f64 2) x)
(-.f64 (.f64 (sqrt.f64 2) x) (+.f64 (-.f64 x x) (.f64 0 (-.f64 x (sqrt.f64 2)))))
(+.f64 x (-.f64 (*.f64 (sqrt.f64 2) x) x))
(-.f64 (.f64 (sqrt.f64 2) x) (-.f64 (.f64 0 (-.f64 x (sqrt.f64 2))) (*.f64 (sqrt.f64 2) 0)))
(*.f64 (sqrt.f64 2) x)
(-.f64 (.f64 (sqrt.f64 2) x) (-.f64 (.f64 0 (-.f64 x (sqrt.f64 2))) (-.f64 x x)))
(+.f64 x (-.f64 (*.f64 (sqrt.f64 2) x) x))
(-.f64 (.f64 (sqrt.f64 2) x) (-.f64 (.f64 0 (-.f64 x (sqrt.f64 2))) (*.f64 (sqrt.f64 2) (-.f64 x x))))
(*.f64 (sqrt.f64 2) x)
(-.f64 (.f64 (sqrt.f64 2) x) (+.f64 (.f64 (sqrt.f64 2) (-.f64 x x)) (*.f64 (sqrt.f64 2) (-.f64 x x))))
(*.f64 (sqrt.f64 2) x)
(-.f64 0 (*.f64 (sqrt.f64 2) (neg.f64 x)))
(*.f64 (sqrt.f64 2) x)
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (neg.f64 (.f64 2 (*.f64 (sqrt.f64 2) x))))
(*.f64 (sqrt.f64 2) x)
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (-.f64 (.f64 (sqrt.f64 2) 0) (.f64 2 (.f64 (sqrt.f64 2) x))))
(*.f64 (sqrt.f64 2) x)
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (-.f64 (-.f64 x x) (.f64 2 (*.f64 (sqrt.f64 2) x))))
(+.f64 x (-.f64 (*.f64 (sqrt.f64 2) x) x))
(-.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) (/.f64 (+.f64 x x) (/.f64 -1 (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) x)
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (/.f64 (.f64 2 (sqrt.f64 2)) (/.f64 -1 x)))
(*.f64 (sqrt.f64 2) x)
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 x (/.f64 (neg.f64 (sqrt.f64 2)) 1/2)))
(*.f64 (sqrt.f64 2) x)
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 (sqrt.f64 2) (-.f64 (neg.f64 x) x)))
(*.f64 (sqrt.f64 2) x)
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 -1 (.f64 2 (.f64 (sqrt.f64 2) x))))
(*.f64 (sqrt.f64 2) x)
(-.f64 (.f64 (sqrt.f64 2) 0) (.f64 (sqrt.f64 2) (neg.f64 x)))
(*.f64 (sqrt.f64 2) x)
(-.f64 (.f64 (sqrt.f64 2) 0) (/.f64 1 (/.f64 1 (.f64 (sqrt.f64 2) (neg.f64 x)))))
(*.f64 (sqrt.f64 2) x)
(-.f64 (-.f64 x x) (*.f64 (sqrt.f64 2) (neg.f64 x)))
(+.f64 x (-.f64 (*.f64 (sqrt.f64 2) x) x))
(-.f64 (-.f64 x x) (/.f64 1 (/.f64 1 (*.f64 (sqrt.f64 2) (neg.f64 x)))))
(+.f64 x (-.f64 (*.f64 (sqrt.f64 2) x) x))
(-.f64 (.f64 2 (.f64 (sqrt.f64 2) x)) (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) x)
(-.f64 (.f64 2 (.f64 (sqrt.f64 2) x)) (+.f64 (.f64 (sqrt.f64 2) x) (+.f64 (.f64 (sqrt.f64 2) (-.f64 x x)) (*.f64 (sqrt.f64 2) (-.f64 x x)))))
(*.f64 (sqrt.f64 2) x)
(-.f64 (.f64 (sqrt.f64 2) (-.f64 x x)) (.f64 (sqrt.f64 2) (neg.f64 x)))
(*.f64 (sqrt.f64 2) x)
(-.f64 (.f64 0 (-.f64 x (sqrt.f64 2))) (.f64 (sqrt.f64 2) (neg.f64 x)))
(*.f64 (sqrt.f64 2) x)
(-.f64 (-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 (sqrt.f64 2) x)) (+.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (neg.f64 (.f64 2 (*.f64 (sqrt.f64 2) x)))))
(*.f64 (sqrt.f64 2) x)
(-.f64 (-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 (sqrt.f64 2) x)) (+.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (-.f64 (.f64 (sqrt.f64 2) 0) (.f64 2 (.f64 (sqrt.f64 2) x)))))
(*.f64 (sqrt.f64 2) x)
(-.f64 (-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 (sqrt.f64 2) x)) (+.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (-.f64 (-.f64 x x) (.f64 2 (*.f64 (sqrt.f64 2) x)))))
(+.f64 x (-.f64 (*.f64 (sqrt.f64 2) x) x))
(-.f64 (-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 (sqrt.f64 2) x)) (+.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) (/.f64 (+.f64 x x) (/.f64 -1 (sqrt.f64 2)))))
(*.f64 (sqrt.f64 2) x)
(-.f64 (-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 (sqrt.f64 2) x)) (+.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (/.f64 (.f64 2 (sqrt.f64 2)) (/.f64 -1 x))))
(*.f64 (sqrt.f64 2) x)
(-.f64 (-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 (sqrt.f64 2) x)) (+.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 x (/.f64 (neg.f64 (sqrt.f64 2)) 1/2))))
(*.f64 (sqrt.f64 2) x)
(-.f64 (-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 (sqrt.f64 2) x)) (+.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 (sqrt.f64 2) (-.f64 (neg.f64 x) x))))
(*.f64 (sqrt.f64 2) x)
(-.f64 (-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 (sqrt.f64 2) x)) (+.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 -1 (.f64 2 (.f64 (sqrt.f64 2) x)))))
(*.f64 (sqrt.f64 2) x)
(-.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 2) x))) (.f64 (sqrt.f64 2) (*.f64 x 3)))
(+.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 2) x))) (neg.f64 (.f64 (sqrt.f64 2) (*.f64 x 3))))
(+.f64 (.f64 (sqrt.f64 2) (/.f64 x 1/4)) (.f64 (sqrt.f64 2) (*.f64 x -3)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 4 x)) (.f64 (sqrt.f64 2) (.f64 x -3)))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x 3)) (.f64 2 (.f64 (sqrt.f64 2) x)))
(.f64 (sqrt.f64 2) (-.f64 (.f64 x 3) (*.f64 2 x)))
(-.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 2) x)) (neg.f64 (.f64 2 (.f64 (sqrt.f64 2) x)))) (.f64 (sqrt.f64 2) (.f64 x 3)))
(+.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 2) x))) (neg.f64 (.f64 (sqrt.f64 2) (*.f64 x 3))))
(+.f64 (.f64 (sqrt.f64 2) (/.f64 x 1/4)) (.f64 (sqrt.f64 2) (*.f64 x -3)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 4 x)) (.f64 (sqrt.f64 2) (.f64 x -3)))
(-.f64 (+.f64 (.f64 (sqrt.f64 2) 0) (.f64 2 (.f64 2 (.f64 (sqrt.f64 2) x)))) (.f64 (sqrt.f64 2) (.f64 x 3)))
(+.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 2) x))) (neg.f64 (.f64 (sqrt.f64 2) (*.f64 x 3))))
(+.f64 (.f64 (sqrt.f64 2) (/.f64 x 1/4)) (.f64 (sqrt.f64 2) (*.f64 x -3)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 4 x)) (.f64 (sqrt.f64 2) (.f64 x -3)))
(-.f64 (+.f64 (-.f64 x x) (.f64 2 (.f64 2 (.f64 (sqrt.f64 2) x)))) (.f64 (sqrt.f64 2) (*.f64 x 3)))
(+.f64 (-.f64 x x) (-.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 2) x))) (.f64 (sqrt.f64 2) (*.f64 x 3))))
(+.f64 (-.f64 x (.f64 (sqrt.f64 2) (.f64 x 3))) (-.f64 (*.f64 (sqrt.f64 2) (/.f64 x 1/4)) x))
(+.f64 (.f64 (sqrt.f64 2) (.f64 4 x)) (-.f64 (-.f64 x x) (.f64 (sqrt.f64 2) (.f64 x 3))))
(-.f64 (.f64 (sqrt.f64 2) (+.f64 x (.f64 x 3))) (.f64 (sqrt.f64 2) (.f64 x 3)))
(.f64 (sqrt.f64 2) (-.f64 (+.f64 x (.f64 x 3)) (*.f64 x 3)))
(-.f64 (/.f64 (.f64 2 (sqrt.f64 2)) (/.f64 1/2 x)) (.f64 (sqrt.f64 2) (*.f64 x 3)))
(+.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 2) x))) (neg.f64 (.f64 (sqrt.f64 2) (*.f64 x 3))))
(+.f64 (.f64 (sqrt.f64 2) (/.f64 x 1/4)) (.f64 (sqrt.f64 2) (*.f64 x -3)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 4 x)) (.f64 (sqrt.f64 2) (.f64 x -3)))
(-.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 x 3))) (.f64 (*.f64 (sqrt.f64 2) x) 1/2))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x 3)) (.f64 2 (.f64 (sqrt.f64 2) x)))
(.f64 (sqrt.f64 2) (-.f64 (.f64 x 3) (*.f64 2 x)))
(-.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 x 3)) (.f64 (sqrt.f64 2) (.f64 x 3))) (+.f64 (.f64 2 (.f64 (sqrt.f64 2) x)) (.f64 (sqrt.f64 2) (.f64 x 3))))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x 3)) (.f64 2 (.f64 (sqrt.f64 2) x)))
(.f64 (sqrt.f64 2) (-.f64 (.f64 x 3) (*.f64 2 x)))
(-.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 2) x))) (.f64 2 (.f64 2 (.f64 (sqrt.f64 2) x)))) (+.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 2) x))) (.f64 (sqrt.f64 2) (*.f64 x 3))))
(+.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 2) x))) (neg.f64 (.f64 (sqrt.f64 2) (*.f64 x 3))))
(+.f64 (.f64 (sqrt.f64 2) (/.f64 x 1/4)) (.f64 (sqrt.f64 2) (*.f64 x -3)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 4 x)) (.f64 (sqrt.f64 2) (.f64 x -3)))
(-.f64 (+.f64 (.f64 (sqrt.f64 2) (-.f64 x x)) (.f64 (sqrt.f64 2) (-.f64 x x))) (*.f64 (sqrt.f64 2) (neg.f64 x)))
(*.f64 (sqrt.f64 2) x)
(-.f64 (+.f64 (.f64 0 (-.f64 x (sqrt.f64 2))) (.f64 0 (-.f64 x (sqrt.f64 2)))) (*.f64 (sqrt.f64 2) (neg.f64 x)))
(*.f64 (sqrt.f64 2) x)
(-.f64 (+.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 2) x)) (neg.f64 (.f64 2 (.f64 (sqrt.f64 2) x)))) (-.f64 (.f64 2 (.f64 (sqrt.f64 2) x)) (neg.f64 (.f64 2 (.f64 (sqrt.f64 2) x))))) (+.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 2) x)) (neg.f64 (.f64 2 (.f64 (sqrt.f64 2) x)))) (.f64 (sqrt.f64 2) (.f64 x 3))))
(+.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 2) x))) (neg.f64 (.f64 (sqrt.f64 2) (*.f64 x 3))))
(+.f64 (.f64 (sqrt.f64 2) (/.f64 x 1/4)) (.f64 (sqrt.f64 2) (*.f64 x -3)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 4 x)) (.f64 (sqrt.f64 2) (.f64 x -3)))
(-.f64 (+.f64 (+.f64 (.f64 (sqrt.f64 2) 0) (.f64 2 (.f64 2 (.f64 (sqrt.f64 2) x)))) (+.f64 (.f64 (sqrt.f64 2) 0) (.f64 2 (.f64 2 (.f64 (sqrt.f64 2) x))))) (+.f64 (+.f64 (.f64 (sqrt.f64 2) 0) (.f64 2 (.f64 2 (.f64 (sqrt.f64 2) x)))) (.f64 (sqrt.f64 2) (.f64 x 3))))
(+.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 2) x))) (neg.f64 (.f64 (sqrt.f64 2) (*.f64 x 3))))
(+.f64 (.f64 (sqrt.f64 2) (/.f64 x 1/4)) (.f64 (sqrt.f64 2) (*.f64 x -3)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 4 x)) (.f64 (sqrt.f64 2) (.f64 x -3)))
(-.f64 (+.f64 (+.f64 (-.f64 x x) (.f64 2 (.f64 2 (.f64 (sqrt.f64 2) x)))) (+.f64 (-.f64 x x) (.f64 2 (.f64 2 (.f64 (sqrt.f64 2) x))))) (+.f64 (+.f64 (-.f64 x x) (.f64 2 (.f64 2 (.f64 (sqrt.f64 2) x)))) (.f64 (sqrt.f64 2) (*.f64 x 3))))
(+.f64 (-.f64 x x) (-.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 2) x))) (.f64 (sqrt.f64 2) (*.f64 x 3))))
(+.f64 (-.f64 x (.f64 (sqrt.f64 2) (.f64 x 3))) (-.f64 (*.f64 (sqrt.f64 2) (/.f64 x 1/4)) x))
(+.f64 (.f64 (sqrt.f64 2) (.f64 4 x)) (-.f64 (-.f64 x x) (.f64 (sqrt.f64 2) (.f64 x 3))))
(-.f64 (+.f64 (.f64 (sqrt.f64 2) (+.f64 x (.f64 x 3))) (.f64 (sqrt.f64 2) (+.f64 x (.f64 x 3)))) (+.f64 (.f64 (sqrt.f64 2) (+.f64 x (.f64 x 3))) (.f64 (sqrt.f64 2) (.f64 x 3))))
(-.f64 (.f64 (sqrt.f64 2) (+.f64 x (.f64 x 3))) (.f64 (sqrt.f64 2) (.f64 x 3)))
(.f64 (sqrt.f64 2) (-.f64 (+.f64 x (.f64 x 3)) (*.f64 x 3)))
(-.f64 (+.f64 (/.f64 (.f64 2 (sqrt.f64 2)) (/.f64 1/2 x)) (/.f64 (.f64 2 (sqrt.f64 2)) (/.f64 1/2 x))) (+.f64 (/.f64 (.f64 2 (sqrt.f64 2)) (/.f64 1/2 x)) (.f64 (sqrt.f64 2) (*.f64 x 3))))
(+.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 2) x))) (neg.f64 (.f64 (sqrt.f64 2) (*.f64 x 3))))
(+.f64 (.f64 (sqrt.f64 2) (/.f64 x 1/4)) (.f64 (sqrt.f64 2) (*.f64 x -3)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 4 x)) (.f64 (sqrt.f64 2) (.f64 x -3)))
(-.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 x 3))) (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 x 3)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 x 3))) (.f64 (*.f64 (sqrt.f64 2) x) 1/2)))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x 3)) (.f64 2 (.f64 (sqrt.f64 2) x)))
(.f64 (sqrt.f64 2) (-.f64 (.f64 x 3) (*.f64 2 x)))
(-.f64 (+.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 2) x))) (.f64 2 (.f64 2 (.f64 (sqrt.f64 2) x)))) (+.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 2) x))) (.f64 2 (.f64 2 (.f64 (sqrt.f64 2) x))))) (+.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 2) x))) (.f64 2 (.f64 2 (.f64 (sqrt.f64 2) x)))) (+.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 2) x))) (.f64 (sqrt.f64 2) (*.f64 x 3)))))
(+.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 2) x))) (neg.f64 (.f64 (sqrt.f64 2) (*.f64 x 3))))
(+.f64 (.f64 (sqrt.f64 2) (/.f64 x 1/4)) (.f64 (sqrt.f64 2) (*.f64 x -3)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 4 x)) (.f64 (sqrt.f64 2) (.f64 x -3)))
(/.f64 (sqrt.f64 2) (/.f64 1 x))
(*.f64 (sqrt.f64 2) x)
(/.f64 x (/.f64 1 (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) x)
(/.f64 (*.f64 (sqrt.f64 2) x) 1)
(*.f64 (sqrt.f64 2) x)
(/.f64 1 (/.f64 (/.f64 1 x) (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) x)
(/.f64 -1 (/.f64 1 (*.f64 (sqrt.f64 2) (neg.f64 x))))
(*.f64 (sqrt.f64 2) x)
(/.f64 (neg.f64 x) (/.f64 -1 (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) x)
(/.f64 (neg.f64 x) (-.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 (/.f64 1 (sqrt.f64 2)) 1/2)))
(*.f64 (sqrt.f64 2) x)
(/.f64 (neg.f64 (sqrt.f64 2)) (/.f64 -1 x))
(*.f64 (sqrt.f64 2) x)
(/.f64 (neg.f64 (sqrt.f64 2)) (-.f64 (/.f64 1 x) (/.f64 (/.f64 1 x) 1/2)))
(*.f64 (sqrt.f64 2) x)
(/.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) -1)
(*.f64 (sqrt.f64 2) x)
(/.f64 (+.f64 x x) (/.f64 (/.f64 1 (sqrt.f64 2)) 1/2))
(*.f64 (sqrt.f64 2) x)
(/.f64 (*.f64 2 (sqrt.f64 2)) (/.f64 (/.f64 1 x) 1/2))
(*.f64 (sqrt.f64 2) x)
(/.f64 1/2 (/.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 x x)))
(*.f64 (sqrt.f64 2) x)
(/.f64 1/2 (/.f64 (/.f64 1 x) (*.f64 2 (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) x)
(/.f64 1/2 (/.f64 (/.f64 1/2 x) (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) x)
(/.f64 1/2 (/.f64 (/.f64 1/2 (sqrt.f64 2)) x))
(*.f64 (sqrt.f64 2) x)
(/.f64 1/2 (/.f64 1 (.f64 2 (.f64 (sqrt.f64 2) x))))
(*.f64 (sqrt.f64 2) x)
(/.f64 1/2 (/.f64 -1 (-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 (sqrt.f64 2) x))))
(*.f64 (sqrt.f64 2) x)
(/.f64 (*.f64 x 1/2) (/.f64 1/2 (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) x)
(/.f64 (*.f64 (sqrt.f64 2) 1/2) (/.f64 1/2 x))
(*.f64 (sqrt.f64 2) x)
(/.f64 (-.f64 (.f64 (sqrt.f64 2) 3) (-.f64 (.f64 2 (sqrt.f64 2)) (/.f64 (neg.f64 (sqrt.f64 2)) 1/2))) (/.f64 -1 x))
(*.f64 (sqrt.f64 2) x)
(/.f64 (-.f64 (.f64 (sqrt.f64 2) 1/2) (.f64 1/2 (*.f64 (sqrt.f64 2) 3))) (/.f64 -1 x))
(*.f64 (sqrt.f64 2) x)
(/.f64 (-.f64 (+.f64 (.f64 2 (.f64 2 (sqrt.f64 2))) (.f64 (sqrt.f64 2) 3)) (+.f64 (.f64 2 (.f64 2 (sqrt.f64 2))) (.f64 2 (*.f64 2 (sqrt.f64 2))))) (/.f64 -1 x))
(.f64 (-.f64 (+.f64 (.f64 (sqrt.f64 2) 3) (.f64 2 (.f64 2 (sqrt.f64 2)))) (+.f64 (.f64 2 (.f64 2 (sqrt.f64 2))) (.f64 2 (.f64 2 (sqrt.f64 2))))) (neg.f64 x))
(/.f64 x (/.f64 1 (-.f64 (.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 2) 3))))
(.f64 x (-.f64 (.f64 (sqrt.f64 2) 4) (neg.f64 (*.f64 (sqrt.f64 2) -3))))
(/.f64 (-.f64 (*.f64 x 3) (-.f64 (+.f64 x x) (-.f64 (neg.f64 x) x))) (/.f64 -1 (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) x)
(/.f64 (-.f64 (.f64 x 1/2) (.f64 1/2 (*.f64 x 3))) (/.f64 -1 (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) x)
(/.f64 (-.f64 (+.f64 (+.f64 x (.f64 x 3)) (.f64 x 3)) (+.f64 (+.f64 x (.f64 x 3)) (+.f64 x (.f64 x 3)))) (/.f64 -1 (sqrt.f64 2)))
(.f64 (+.f64 (+.f64 x (.f64 x 3)) (-.f64 (.f64 x 3) (+.f64 (+.f64 x (.f64 x 3)) (+.f64 x (*.f64 x 3))))) (neg.f64 (sqrt.f64 2)))
(/.f64 (-.f64 (+.f64 x (.f64 x 3)) (.f64 x 3)) (/.f64 1 (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (-.f64 (+.f64 x (.f64 x 3)) (neg.f64 (*.f64 x -3))))
(/.f64 (-.f64 (neg.f64 (.f64 x 3)) (neg.f64 (+.f64 x (.f64 x 3)))) (/.f64 1 (sqrt.f64 2)))
(.f64 (+.f64 (+.f64 x (.f64 x 3)) (-.f64 (.f64 x 3) (+.f64 (+.f64 x (.f64 x 3)) (+.f64 x (*.f64 x 3))))) (neg.f64 (sqrt.f64 2)))
(/.f64 (-.f64 (+.f64 x (.f64 x 3)) (.f64 x 3)) (/.f64 1 (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (-.f64 (+.f64 x (.f64 x 3)) (neg.f64 (*.f64 x -3))))
(/.f64 (-.f64 (neg.f64 (.f64 (sqrt.f64 2) 3)) (neg.f64 (.f64 2 (*.f64 2 (sqrt.f64 2))))) (/.f64 1 x))
(.f64 (-.f64 (+.f64 (.f64 (sqrt.f64 2) 3) (.f64 2 (.f64 2 (sqrt.f64 2)))) (+.f64 (.f64 2 (.f64 2 (sqrt.f64 2))) (.f64 2 (.f64 2 (sqrt.f64 2))))) (neg.f64 x))
(/.f64 x (/.f64 1 (-.f64 (.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 2) 3))))
(.f64 x (-.f64 (.f64 (sqrt.f64 2) 4) (neg.f64 (*.f64 (sqrt.f64 2) -3))))
(neg.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)))
(*.f64 (sqrt.f64 2) x)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.4b	(*.f64 (sqrt.f64 2) (neg.f64 x))

Compiler

Compiled 12 to 8 computations (33.3% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(*.f64 (sqrt.f64 2) (neg.f64 x))
0.0ms	x	@	inf	(*.f64 (sqrt.f64 2) (neg.f64 x))
0.0ms	x	@	-inf	(*.f64 (sqrt.f64 2) (neg.f64 x))

rewrite65.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

964×	`rational.json-1`
964×	`rational.json-2`
964×	`rational.json-3`
960×	`rational.json-4`
826×	`rational.json-simplify-67`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	47	15
2	142	15
3	647	15
4	4537	15

Stop Event

1×	node limit

Counts

1 → 138

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 2) (neg.f64 x))

Outputs

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

simplify76.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1470×	`rational.json-simplify-63`
1320×	`rational.json-simplify-1`
1228×	`rational.json-simplify-37`
1126×	`rational.json-simplify-50`
486×	`rational.json-simplify-67`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	312	3268
1	1155	2966
2	5429	2858

Stop Event

1×	node limit

Counts

150 → 154

Calls

Call 1

Inputs
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(+.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) 0)
(+.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 (sqrt.f64 2) 0))
(+.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) (-.f64 x x))
(+.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 (sqrt.f64 2) (-.f64 x x)))
(+.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 0 (+.f64 (sqrt.f64 2) x)))
(+.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (+.f64 (.f64 (sqrt.f64 2) 0) (*.f64 0 (+.f64 (sqrt.f64 2) x))))
(+.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (+.f64 (-.f64 x x) (.f64 0 (+.f64 (sqrt.f64 2) x))))
(+.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (-.f64 (.f64 0 (+.f64 (sqrt.f64 2) x)) (-.f64 x x)))
(+.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (-.f64 (.f64 0 (+.f64 (sqrt.f64 2) x)) (*.f64 (sqrt.f64 2) (-.f64 x x))))
(+.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) (/.f64 -1 (/.f64 (/.f64 1 (sqrt.f64 2)) 0)))
(+.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (/.f64 -1 (/.f64 1 (.f64 (sqrt.f64 2) 0))))
(+.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (/.f64 -1 (/.f64 -1 (.f64 (sqrt.f64 2) 0))))
(+.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) (/.f64 -1 (/.f64 (/.f64 -1 x) 0)))
(+.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) (/.f64 -1 (/.f64 1 (-.f64 x x))))
(+.f64 0 (*.f64 (sqrt.f64 2) (neg.f64 x)))
(+.f64 (.f64 (sqrt.f64 2) 0) (.f64 (sqrt.f64 2) (neg.f64 x)))
(+.f64 (.f64 (sqrt.f64 2) 0) (/.f64 -1 (neg.f64 (/.f64 -1 (.f64 (sqrt.f64 2) x)))))
(+.f64 (-.f64 x x) (*.f64 (sqrt.f64 2) (neg.f64 x)))
(+.f64 (-.f64 x x) (/.f64 -1 (neg.f64 (/.f64 -1 (*.f64 (sqrt.f64 2) x)))))
(+.f64 (.f64 (sqrt.f64 2) x) (.f64 (sqrt.f64 2) (*.f64 x -2)))
(+.f64 (*.f64 (sqrt.f64 2) x) (/.f64 -1 (/.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 x x))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x -2)) (*.f64 (sqrt.f64 2) x))
(+.f64 (.f64 (sqrt.f64 2) (-.f64 x x)) (.f64 (sqrt.f64 2) (neg.f64 x)))
(+.f64 (.f64 0 (+.f64 (sqrt.f64 2) x)) (.f64 (sqrt.f64 2) (neg.f64 x)))
(+.f64 (.f64 2 (.f64 (sqrt.f64 2) x)) (.f64 (sqrt.f64 2) (.f64 x -3)))
(+.f64 (.f64 2 (.f64 (sqrt.f64 2) (.f64 x -2))) (neg.f64 (.f64 (sqrt.f64 2) (*.f64 x -3))))
(+.f64 (.f64 2 (.f64 (sqrt.f64 2) (.f64 x -2))) (-.f64 (.f64 (sqrt.f64 2) 0) (.f64 (sqrt.f64 2) (.f64 x -3))))
(+.f64 (.f64 2 (.f64 (sqrt.f64 2) (.f64 x -2))) (-.f64 (-.f64 x x) (.f64 (sqrt.f64 2) (*.f64 x -3))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x -3)) (.f64 2 (.f64 (sqrt.f64 2) x)))
(+.f64 (+.f64 (.f64 (sqrt.f64 2) 0) (.f64 0 (+.f64 (sqrt.f64 2) x))) (*.f64 (sqrt.f64 2) (neg.f64 x)))
(+.f64 (+.f64 (-.f64 x x) (.f64 0 (+.f64 (sqrt.f64 2) x))) (.f64 (sqrt.f64 2) (neg.f64 x)))
(+.f64 (neg.f64 (.f64 (sqrt.f64 2) (.f64 x -3))) (.f64 2 (.f64 (sqrt.f64 2) (*.f64 x -2))))
(+.f64 (-.f64 (.f64 (sqrt.f64 2) 0) (.f64 (sqrt.f64 2) (.f64 x -3))) (.f64 2 (.f64 (sqrt.f64 2) (.f64 x -2))))
(+.f64 (-.f64 (-.f64 x x) (.f64 (sqrt.f64 2) (.f64 x -3))) (.f64 2 (.f64 (sqrt.f64 2) (*.f64 x -2))))
(+.f64 (-.f64 (.f64 0 (+.f64 (sqrt.f64 2) x)) (-.f64 x x)) (.f64 (sqrt.f64 2) (neg.f64 x)))
(+.f64 (-.f64 (.f64 0 (+.f64 (sqrt.f64 2) x)) (.f64 (sqrt.f64 2) (-.f64 x x))) (*.f64 (sqrt.f64 2) (neg.f64 x)))
(+.f64 (.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) 1/2) (.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) 1/2))
(-.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) 0)
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 (sqrt.f64 2) 0))
(-.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) (-.f64 x x))
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 (sqrt.f64 2) (-.f64 x x)))
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 0 (+.f64 (sqrt.f64 2) x)))
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (+.f64 (.f64 (sqrt.f64 2) 0) (*.f64 0 (+.f64 (sqrt.f64 2) x))))
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (+.f64 (-.f64 x x) (.f64 0 (+.f64 (sqrt.f64 2) x))))
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (-.f64 (.f64 0 (+.f64 (sqrt.f64 2) x)) (-.f64 x x)))
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (-.f64 (.f64 0 (+.f64 (sqrt.f64 2) x)) (*.f64 (sqrt.f64 2) (-.f64 x x))))
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (+.f64 (.f64 (sqrt.f64 2) (-.f64 x x)) (*.f64 (sqrt.f64 2) (-.f64 x x))))
(-.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) (/.f64 1 (/.f64 (/.f64 1 x) 0)))
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (+.f64 (.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) 1/2) (.f64 (*.f64 (sqrt.f64 2) x) 1/2)))
(-.f64 0 (*.f64 (sqrt.f64 2) x))
(-.f64 (.f64 (sqrt.f64 2) 0) (.f64 (sqrt.f64 2) x))
(-.f64 (-.f64 x x) (*.f64 (sqrt.f64 2) x))
(-.f64 (.f64 (sqrt.f64 2) x) (.f64 2 (*.f64 (sqrt.f64 2) x)))
(-.f64 (.f64 (sqrt.f64 2) x) (-.f64 (.f64 0 (+.f64 (sqrt.f64 2) x)) (.f64 (sqrt.f64 2) (.f64 x -2))))
(-.f64 (.f64 (sqrt.f64 2) x) (-.f64 (.f64 2 (.f64 (sqrt.f64 2) x)) (.f64 0 (+.f64 (sqrt.f64 2) x))))
(-.f64 (.f64 (sqrt.f64 2) x) (/.f64 1 (/.f64 (/.f64 -1 x) (.f64 (sqrt.f64 2) -2))))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x -2)) (*.f64 (sqrt.f64 2) (neg.f64 x)))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x -2)) (+.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (+.f64 (.f64 (sqrt.f64 2) (-.f64 x x)) (*.f64 (sqrt.f64 2) (-.f64 x x)))))
(-.f64 (.f64 (sqrt.f64 2) (-.f64 x x)) (.f64 (sqrt.f64 2) x))
(-.f64 (.f64 0 (+.f64 (sqrt.f64 2) x)) (.f64 (sqrt.f64 2) x))
(-.f64 (.f64 2 (.f64 (sqrt.f64 2) x)) (+.f64 (.f64 (sqrt.f64 2) x) (.f64 2 (*.f64 (sqrt.f64 2) x))))
(-.f64 (.f64 2 (.f64 (sqrt.f64 2) x)) (+.f64 (.f64 (sqrt.f64 2) x) (-.f64 (.f64 0 (+.f64 (sqrt.f64 2) x)) (.f64 (sqrt.f64 2) (.f64 x -2)))))
(-.f64 (.f64 2 (.f64 (sqrt.f64 2) x)) (+.f64 (.f64 (sqrt.f64 2) x) (-.f64 (.f64 2 (.f64 (sqrt.f64 2) x)) (.f64 0 (+.f64 (sqrt.f64 2) x)))))
(-.f64 (.f64 2 (.f64 (sqrt.f64 2) (.f64 x -2))) (.f64 (sqrt.f64 2) (*.f64 x -3)))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x -3)) (.f64 (sqrt.f64 2) (.f64 x -2)))
(-.f64 (+.f64 (.f64 (sqrt.f64 2) 0) (.f64 0 (+.f64 (sqrt.f64 2) x))) (*.f64 (sqrt.f64 2) x))
(-.f64 (+.f64 (-.f64 x x) (.f64 0 (+.f64 (sqrt.f64 2) x))) (.f64 (sqrt.f64 2) x))
(-.f64 (-.f64 (.f64 0 (+.f64 (sqrt.f64 2) x)) (-.f64 x x)) (.f64 (sqrt.f64 2) x))
(-.f64 (-.f64 (.f64 0 (+.f64 (sqrt.f64 2) x)) (.f64 (sqrt.f64 2) (-.f64 x x))) (*.f64 (sqrt.f64 2) x))
(-.f64 (-.f64 (.f64 (sqrt.f64 2) (.f64 x -2)) (.f64 2 (.f64 (sqrt.f64 2) x))) (.f64 (sqrt.f64 2) (.f64 x -3)))
(-.f64 (+.f64 (-.f64 x x) (.f64 2 (.f64 (sqrt.f64 2) (.f64 x -2)))) (.f64 (sqrt.f64 2) (*.f64 x -3)))
(-.f64 (/.f64 (.f64 2 (+.f64 x x)) (/.f64 -1 (sqrt.f64 2))) (.f64 (sqrt.f64 2) (*.f64 x -3)))
(-.f64 (.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) 1/2) (.f64 (.f64 (sqrt.f64 2) x) 1/2))
(-.f64 (.f64 (sqrt.f64 2) (.f64 2 (.f64 x -2))) (.f64 (sqrt.f64 2) (*.f64 x -3)))
(-.f64 (.f64 (neg.f64 x) (.f64 2 (.f64 2 (sqrt.f64 2)))) (.f64 (sqrt.f64 2) (*.f64 x -3)))
(-.f64 (.f64 (neg.f64 (sqrt.f64 2)) (.f64 2 (+.f64 x x))) (.f64 (sqrt.f64 2) (.f64 x -3)))
(-.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 x -3))) (.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) 1/2))
(-.f64 (+.f64 (.f64 2 (.f64 (sqrt.f64 2) x)) (.f64 2 (.f64 (sqrt.f64 2) x))) (+.f64 (.f64 2 (.f64 (sqrt.f64 2) x)) (+.f64 (.f64 (sqrt.f64 2) x) (.f64 2 (*.f64 (sqrt.f64 2) x)))))
(-.f64 (+.f64 (.f64 0 (+.f64 (sqrt.f64 2) x)) (.f64 0 (+.f64 (sqrt.f64 2) x))) (*.f64 (sqrt.f64 2) x))
(-.f64 (+.f64 (.f64 2 (.f64 (sqrt.f64 2) (.f64 x -2))) (.f64 2 (.f64 (sqrt.f64 2) (.f64 x -2)))) (+.f64 (.f64 2 (.f64 (sqrt.f64 2) (.f64 x -2))) (.f64 (sqrt.f64 2) (*.f64 x -3))))
(-.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 x -3)) (.f64 (sqrt.f64 2) (.f64 x -3))) (+.f64 (.f64 (sqrt.f64 2) (.f64 x -2)) (.f64 (sqrt.f64 2) (.f64 x -3))))
(-.f64 (+.f64 (.f64 (sqrt.f64 2) (-.f64 x x)) (.f64 (sqrt.f64 2) (-.f64 x x))) (*.f64 (sqrt.f64 2) x))
(-.f64 (+.f64 (+.f64 (.f64 (sqrt.f64 2) 0) (.f64 0 (+.f64 (sqrt.f64 2) x))) (+.f64 (.f64 (sqrt.f64 2) 0) (.f64 0 (+.f64 (sqrt.f64 2) x)))) (+.f64 (+.f64 (.f64 (sqrt.f64 2) 0) (.f64 0 (+.f64 (sqrt.f64 2) x))) (*.f64 (sqrt.f64 2) x)))
(-.f64 (+.f64 (+.f64 (-.f64 x x) (.f64 0 (+.f64 (sqrt.f64 2) x))) (+.f64 (-.f64 x x) (.f64 0 (+.f64 (sqrt.f64 2) x)))) (+.f64 (+.f64 (-.f64 x x) (.f64 0 (+.f64 (sqrt.f64 2) x))) (.f64 (sqrt.f64 2) x)))
(-.f64 (+.f64 (-.f64 (.f64 0 (+.f64 (sqrt.f64 2) x)) (-.f64 x x)) (-.f64 (.f64 0 (+.f64 (sqrt.f64 2) x)) (-.f64 x x))) (+.f64 (-.f64 (.f64 0 (+.f64 (sqrt.f64 2) x)) (-.f64 x x)) (.f64 (sqrt.f64 2) x)))
(-.f64 (+.f64 (-.f64 (.f64 0 (+.f64 (sqrt.f64 2) x)) (.f64 (sqrt.f64 2) (-.f64 x x))) (-.f64 (.f64 0 (+.f64 (sqrt.f64 2) x)) (.f64 (sqrt.f64 2) (-.f64 x x)))) (+.f64 (-.f64 (.f64 0 (+.f64 (sqrt.f64 2) x)) (.f64 (sqrt.f64 2) (-.f64 x x))) (*.f64 (sqrt.f64 2) x)))
(-.f64 (+.f64 (-.f64 (.f64 (sqrt.f64 2) (.f64 x -2)) (.f64 2 (.f64 (sqrt.f64 2) x))) (-.f64 (.f64 (sqrt.f64 2) (.f64 x -2)) (.f64 2 (.f64 (sqrt.f64 2) x)))) (+.f64 (-.f64 (.f64 (sqrt.f64 2) (.f64 x -2)) (.f64 2 (.f64 (sqrt.f64 2) x))) (.f64 (sqrt.f64 2) (.f64 x -3))))
(-.f64 (+.f64 (+.f64 (-.f64 x x) (.f64 2 (.f64 (sqrt.f64 2) (.f64 x -2)))) (+.f64 (-.f64 x x) (.f64 2 (.f64 (sqrt.f64 2) (.f64 x -2))))) (+.f64 (+.f64 (-.f64 x x) (.f64 2 (.f64 (sqrt.f64 2) (.f64 x -2)))) (.f64 (sqrt.f64 2) (*.f64 x -3))))
(-.f64 (+.f64 (/.f64 (.f64 2 (+.f64 x x)) (/.f64 -1 (sqrt.f64 2))) (/.f64 (.f64 2 (+.f64 x x)) (/.f64 -1 (sqrt.f64 2)))) (+.f64 (/.f64 (.f64 2 (+.f64 x x)) (/.f64 -1 (sqrt.f64 2))) (.f64 (sqrt.f64 2) (*.f64 x -3))))
(-.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 2 (.f64 x -2))) (.f64 (sqrt.f64 2) (.f64 2 (.f64 x -2)))) (+.f64 (.f64 (sqrt.f64 2) (.f64 2 (.f64 x -2))) (.f64 (sqrt.f64 2) (*.f64 x -3))))
(-.f64 (+.f64 (.f64 (neg.f64 x) (.f64 2 (.f64 2 (sqrt.f64 2)))) (.f64 (neg.f64 x) (.f64 2 (.f64 2 (sqrt.f64 2))))) (+.f64 (.f64 (neg.f64 x) (.f64 2 (.f64 2 (sqrt.f64 2)))) (.f64 (sqrt.f64 2) (*.f64 x -3))))
(-.f64 (+.f64 (.f64 (neg.f64 (sqrt.f64 2)) (.f64 2 (+.f64 x x))) (.f64 (neg.f64 (sqrt.f64 2)) (.f64 2 (+.f64 x x)))) (+.f64 (.f64 (neg.f64 (sqrt.f64 2)) (.f64 2 (+.f64 x x))) (.f64 (sqrt.f64 2) (.f64 x -3))))
(-.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 x -3))) (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 x -3)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 x -3))) (.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) 1/2)))
(-.f64 (+.f64 (+.f64 (.f64 0 (+.f64 (sqrt.f64 2) x)) (.f64 0 (+.f64 (sqrt.f64 2) x))) (+.f64 (.f64 0 (+.f64 (sqrt.f64 2) x)) (.f64 0 (+.f64 (sqrt.f64 2) x)))) (+.f64 (+.f64 (.f64 0 (+.f64 (sqrt.f64 2) x)) (.f64 0 (+.f64 (sqrt.f64 2) x))) (*.f64 (sqrt.f64 2) x)))
(-.f64 (+.f64 (+.f64 (.f64 2 (.f64 (sqrt.f64 2) (.f64 x -2))) (.f64 2 (.f64 (sqrt.f64 2) (.f64 x -2)))) (+.f64 (.f64 2 (.f64 (sqrt.f64 2) (.f64 x -2))) (.f64 2 (.f64 (sqrt.f64 2) (.f64 x -2))))) (+.f64 (+.f64 (.f64 2 (.f64 (sqrt.f64 2) (.f64 x -2))) (.f64 2 (.f64 (sqrt.f64 2) (.f64 x -2)))) (+.f64 (.f64 2 (.f64 (sqrt.f64 2) (.f64 x -2))) (.f64 (sqrt.f64 2) (*.f64 x -3)))))
(/.f64 (sqrt.f64 2) (/.f64 -1 x))
(/.f64 x (/.f64 -1 (sqrt.f64 2)))
(/.f64 x (-.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 (/.f64 1 (sqrt.f64 2)) 1/2)))
(/.f64 (neg.f64 x) (/.f64 1 (sqrt.f64 2)))
(/.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) 1)
(/.f64 1 (/.f64 -1 (*.f64 (sqrt.f64 2) x)))
(/.f64 -1 (/.f64 (/.f64 1 x) (sqrt.f64 2)))
(/.f64 -1 (/.f64 (/.f64 1 (sqrt.f64 2)) x))
(/.f64 -1 (*.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 x)))
(/.f64 -1 (/.f64 -1 (*.f64 (sqrt.f64 2) (neg.f64 x))))
(/.f64 -1 (/.f64 1 (*.f64 (sqrt.f64 2) x)))
(/.f64 (neg.f64 (sqrt.f64 2)) (/.f64 1 x))
(/.f64 (neg.f64 (sqrt.f64 2)) (-.f64 (/.f64 -1 x) (/.f64 (/.f64 -1 x) 1/2)))
(/.f64 (*.f64 (sqrt.f64 2) x) -1)
(/.f64 (*.f64 2 (sqrt.f64 2)) (/.f64 (/.f64 -1 x) 1/2))
(/.f64 (*.f64 x -2) (/.f64 (/.f64 1 (sqrt.f64 2)) 1/2))
(/.f64 1/2 (/.f64 (/.f64 -1/2 x) (sqrt.f64 2)))
(/.f64 1/2 (/.f64 (/.f64 1/2 (sqrt.f64 2)) (neg.f64 x)))
(/.f64 1/2 (/.f64 (/.f64 -1 x) (*.f64 2 (sqrt.f64 2))))
(/.f64 1/2 (/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 x -2)))
(/.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 x -2))))
(/.f64 1/2 (/.f64 -1 (.f64 2 (.f64 (sqrt.f64 2) x))))
(/.f64 -1/2 (/.f64 (/.f64 1/2 x) (sqrt.f64 2)))
(/.f64 -1/2 (/.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 x x)))
(/.f64 (*.f64 x -1/2) (/.f64 1/2 (sqrt.f64 2)))
(/.f64 (*.f64 (sqrt.f64 2) 1/2) (/.f64 -1/2 x))
(/.f64 (/.f64 (sqrt.f64 2) -2) (/.f64 1/2 x))
(/.f64 (-.f64 (.f64 (sqrt.f64 2) 3) (-.f64 (.f64 2 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -2))) (/.f64 1 x))
(/.f64 (-.f64 (.f64 (sqrt.f64 2) 1/2) (.f64 1/2 (*.f64 (sqrt.f64 2) 3))) (/.f64 1 x))
(/.f64 (-.f64 (+.f64 (.f64 2 (.f64 2 (sqrt.f64 2))) (.f64 (sqrt.f64 2) 3)) (+.f64 (.f64 2 (.f64 2 (sqrt.f64 2))) (.f64 2 (*.f64 2 (sqrt.f64 2))))) (/.f64 1 x))
(/.f64 (-.f64 (.f64 x 3) (-.f64 x (.f64 x -3))) (/.f64 1 (sqrt.f64 2)))
(/.f64 (-.f64 (.f64 x -1/2) (.f64 (neg.f64 x) -1/2)) (/.f64 1 (sqrt.f64 2)))
(/.f64 (-.f64 (.f64 -1 (.f64 x -3)) (*.f64 2 (+.f64 x x))) (/.f64 1 (sqrt.f64 2)))
(/.f64 (-.f64 (.f64 x 1/2) (.f64 1/2 (*.f64 x 3))) (/.f64 1 (sqrt.f64 2)))
(/.f64 (-.f64 (+.f64 (.f64 2 (+.f64 x x)) (.f64 x 3)) (+.f64 (.f64 2 (+.f64 x x)) (.f64 2 (+.f64 x x)))) (/.f64 1 (sqrt.f64 2)))
(/.f64 (-.f64 (.f64 x 1/2) (.f64 x -1/2)) (/.f64 -1 (sqrt.f64 2)))
(/.f64 (-.f64 (.f64 x -1/2) (.f64 1/2 (*.f64 x -3))) (/.f64 -1 (sqrt.f64 2)))
(/.f64 (-.f64 (.f64 x -1/2) (.f64 -1/2 (*.f64 x 3))) (/.f64 -1 (sqrt.f64 2)))
(/.f64 (-.f64 (+.f64 (.f64 2 (.f64 x -2)) (.f64 x -3)) (+.f64 (.f64 2 (.f64 x -2)) (.f64 2 (*.f64 x -2)))) (/.f64 -1 (sqrt.f64 2)))
(/.f64 (-.f64 (neg.f64 (.f64 (sqrt.f64 2) 3)) (neg.f64 (.f64 2 (*.f64 2 (sqrt.f64 2))))) (/.f64 -1 x))
(/.f64 (-.f64 (.f64 -1 (.f64 (sqrt.f64 2) 3)) (neg.f64 (.f64 2 (.f64 2 (sqrt.f64 2))))) (/.f64 -1 x))
(/.f64 (-.f64 (.f64 (neg.f64 x) -1/2) (.f64 -1/2 (*.f64 x -3))) (/.f64 1 (sqrt.f64 2)))
(neg.f64 (*.f64 (sqrt.f64 2) x))

Outputs
(.f64 -1 (.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(+.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) 0)
(*.f64 (sqrt.f64 2) (neg.f64 x))
(+.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 (sqrt.f64 2) 0))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(+.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) (-.f64 x x))
(+.f64 x (-.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) x))
(-.f64 (-.f64 x x) (*.f64 (sqrt.f64 2) x))
(+.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 (sqrt.f64 2) (-.f64 x x)))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(+.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 0 (+.f64 (sqrt.f64 2) x)))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(+.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (+.f64 (.f64 (sqrt.f64 2) 0) (*.f64 0 (+.f64 (sqrt.f64 2) x))))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(+.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (+.f64 (-.f64 x x) (.f64 0 (+.f64 (sqrt.f64 2) x))))
(+.f64 x (-.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) x))
(-.f64 (-.f64 x x) (*.f64 (sqrt.f64 2) x))
(+.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (-.f64 (.f64 0 (+.f64 (sqrt.f64 2) x)) (-.f64 x x)))
(+.f64 x (-.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) x))
(-.f64 (-.f64 x x) (*.f64 (sqrt.f64 2) x))
(+.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (-.f64 (.f64 0 (+.f64 (sqrt.f64 2) x)) (*.f64 (sqrt.f64 2) (-.f64 x x))))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(+.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) (/.f64 -1 (/.f64 (/.f64 1 (sqrt.f64 2)) 0)))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(+.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (/.f64 -1 (/.f64 1 (.f64 (sqrt.f64 2) 0))))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(+.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (/.f64 -1 (/.f64 -1 (.f64 (sqrt.f64 2) 0))))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(+.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) (/.f64 -1 (/.f64 (/.f64 -1 x) 0)))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(+.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) (/.f64 -1 (/.f64 1 (-.f64 x x))))
(+.f64 x (-.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) x))
(-.f64 (-.f64 x x) (*.f64 (sqrt.f64 2) x))
(+.f64 0 (*.f64 (sqrt.f64 2) (neg.f64 x)))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(+.f64 (.f64 (sqrt.f64 2) 0) (.f64 (sqrt.f64 2) (neg.f64 x)))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(+.f64 (.f64 (sqrt.f64 2) 0) (/.f64 -1 (neg.f64 (/.f64 -1 (.f64 (sqrt.f64 2) x)))))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(+.f64 (-.f64 x x) (*.f64 (sqrt.f64 2) (neg.f64 x)))
(+.f64 x (-.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) x))
(-.f64 (-.f64 x x) (*.f64 (sqrt.f64 2) x))
(+.f64 (-.f64 x x) (/.f64 -1 (neg.f64 (/.f64 -1 (*.f64 (sqrt.f64 2) x)))))
(+.f64 x (-.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) x))
(-.f64 (-.f64 x x) (*.f64 (sqrt.f64 2) x))
(+.f64 (.f64 (sqrt.f64 2) x) (.f64 (sqrt.f64 2) (*.f64 x -2)))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(+.f64 (*.f64 (sqrt.f64 2) x) (/.f64 -1 (/.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 x x))))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x -2)) (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(+.f64 (.f64 (sqrt.f64 2) (-.f64 x x)) (.f64 (sqrt.f64 2) (neg.f64 x)))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(+.f64 (.f64 0 (+.f64 (sqrt.f64 2) x)) (.f64 (sqrt.f64 2) (neg.f64 x)))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(+.f64 (.f64 2 (.f64 (sqrt.f64 2) x)) (.f64 (sqrt.f64 2) (.f64 x -3)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 2 x)) (.f64 (sqrt.f64 2) (.f64 x -3)))
(.f64 (sqrt.f64 2) (+.f64 (.f64 x -3) (*.f64 2 x)))
(+.f64 (.f64 2 (.f64 (sqrt.f64 2) (.f64 x -2))) (neg.f64 (.f64 (sqrt.f64 2) (*.f64 x -3))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x -4)) (neg.f64 (.f64 (sqrt.f64 2) (.f64 x -3))))
(+.f64 0 (.f64 (sqrt.f64 2) (-.f64 (.f64 x -4) (*.f64 x -3))))
(.f64 (sqrt.f64 2) (-.f64 (.f64 x -4) (*.f64 x -3)))
(+.f64 (.f64 2 (.f64 (sqrt.f64 2) (.f64 x -2))) (-.f64 (.f64 (sqrt.f64 2) 0) (.f64 (sqrt.f64 2) (.f64 x -3))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x -4)) (neg.f64 (.f64 (sqrt.f64 2) (.f64 x -3))))
(+.f64 0 (.f64 (sqrt.f64 2) (-.f64 (.f64 x -4) (*.f64 x -3))))
(.f64 (sqrt.f64 2) (-.f64 (.f64 x -4) (*.f64 x -3)))
(+.f64 (.f64 2 (.f64 (sqrt.f64 2) (.f64 x -2))) (-.f64 (-.f64 x x) (.f64 (sqrt.f64 2) (*.f64 x -3))))
(+.f64 (-.f64 x x) (-.f64 (.f64 (sqrt.f64 2) (.f64 x -4)) (.f64 (sqrt.f64 2) (.f64 x -3))))
(+.f64 (-.f64 x x) (.f64 (sqrt.f64 2) (-.f64 (.f64 x -4) (*.f64 x -3))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x -3)) (.f64 2 (.f64 (sqrt.f64 2) x)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 2 x)) (.f64 (sqrt.f64 2) (.f64 x -3)))
(.f64 (sqrt.f64 2) (+.f64 (.f64 x -3) (*.f64 2 x)))
(+.f64 (+.f64 (.f64 (sqrt.f64 2) 0) (.f64 0 (+.f64 (sqrt.f64 2) x))) (*.f64 (sqrt.f64 2) (neg.f64 x)))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(+.f64 (+.f64 (-.f64 x x) (.f64 0 (+.f64 (sqrt.f64 2) x))) (.f64 (sqrt.f64 2) (neg.f64 x)))
(+.f64 x (-.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) x))
(-.f64 (-.f64 x x) (*.f64 (sqrt.f64 2) x))
(+.f64 (neg.f64 (.f64 (sqrt.f64 2) (.f64 x -3))) (.f64 2 (.f64 (sqrt.f64 2) (*.f64 x -2))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x -4)) (neg.f64 (.f64 (sqrt.f64 2) (.f64 x -3))))
(+.f64 0 (.f64 (sqrt.f64 2) (-.f64 (.f64 x -4) (*.f64 x -3))))
(.f64 (sqrt.f64 2) (-.f64 (.f64 x -4) (*.f64 x -3)))
(+.f64 (-.f64 (.f64 (sqrt.f64 2) 0) (.f64 (sqrt.f64 2) (.f64 x -3))) (.f64 2 (.f64 (sqrt.f64 2) (.f64 x -2))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x -4)) (neg.f64 (.f64 (sqrt.f64 2) (.f64 x -3))))
(+.f64 0 (.f64 (sqrt.f64 2) (-.f64 (.f64 x -4) (*.f64 x -3))))
(.f64 (sqrt.f64 2) (-.f64 (.f64 x -4) (*.f64 x -3)))
(+.f64 (-.f64 (-.f64 x x) (.f64 (sqrt.f64 2) (.f64 x -3))) (.f64 2 (.f64 (sqrt.f64 2) (*.f64 x -2))))
(+.f64 (-.f64 x x) (-.f64 (.f64 (sqrt.f64 2) (.f64 x -4)) (.f64 (sqrt.f64 2) (.f64 x -3))))
(+.f64 (-.f64 x x) (.f64 (sqrt.f64 2) (-.f64 (.f64 x -4) (*.f64 x -3))))
(+.f64 (-.f64 (.f64 0 (+.f64 (sqrt.f64 2) x)) (-.f64 x x)) (.f64 (sqrt.f64 2) (neg.f64 x)))
(+.f64 x (-.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) x))
(-.f64 (-.f64 x x) (*.f64 (sqrt.f64 2) x))
(+.f64 (-.f64 (.f64 0 (+.f64 (sqrt.f64 2) x)) (.f64 (sqrt.f64 2) (-.f64 x x))) (*.f64 (sqrt.f64 2) (neg.f64 x)))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(+.f64 (.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) 1/2) (.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) 1/2))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(-.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) 0)
(*.f64 (sqrt.f64 2) (neg.f64 x))
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 (sqrt.f64 2) 0))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(-.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) (-.f64 x x))
(+.f64 x (-.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) x))
(-.f64 (-.f64 x x) (*.f64 (sqrt.f64 2) x))
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 (sqrt.f64 2) (-.f64 x x)))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 0 (+.f64 (sqrt.f64 2) x)))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (+.f64 (.f64 (sqrt.f64 2) 0) (*.f64 0 (+.f64 (sqrt.f64 2) x))))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (+.f64 (-.f64 x x) (.f64 0 (+.f64 (sqrt.f64 2) x))))
(+.f64 x (-.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) x))
(-.f64 (-.f64 x x) (*.f64 (sqrt.f64 2) x))
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (-.f64 (.f64 0 (+.f64 (sqrt.f64 2) x)) (-.f64 x x)))
(+.f64 x (-.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) x))
(-.f64 (-.f64 x x) (*.f64 (sqrt.f64 2) x))
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (-.f64 (.f64 0 (+.f64 (sqrt.f64 2) x)) (*.f64 (sqrt.f64 2) (-.f64 x x))))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (+.f64 (.f64 (sqrt.f64 2) (-.f64 x x)) (*.f64 (sqrt.f64 2) (-.f64 x x))))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(-.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) (/.f64 1 (/.f64 (/.f64 1 x) 0)))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (+.f64 (.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) 1/2) (.f64 (*.f64 (sqrt.f64 2) x) 1/2)))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(-.f64 0 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(-.f64 (.f64 (sqrt.f64 2) 0) (.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(-.f64 (-.f64 x x) (*.f64 (sqrt.f64 2) x))
(+.f64 x (-.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) x))
(-.f64 (.f64 (sqrt.f64 2) x) (.f64 2 (*.f64 (sqrt.f64 2) x)))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(-.f64 (.f64 (sqrt.f64 2) x) (-.f64 (.f64 0 (+.f64 (sqrt.f64 2) x)) (.f64 (sqrt.f64 2) (.f64 x -2))))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(-.f64 (.f64 (sqrt.f64 2) x) (-.f64 (.f64 2 (.f64 (sqrt.f64 2) x)) (.f64 0 (+.f64 (sqrt.f64 2) x))))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(-.f64 (.f64 (sqrt.f64 2) x) (/.f64 1 (/.f64 (/.f64 -1 x) (.f64 (sqrt.f64 2) -2))))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x -2)) (*.f64 (sqrt.f64 2) (neg.f64 x)))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x -2)) (+.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (+.f64 (.f64 (sqrt.f64 2) (-.f64 x x)) (*.f64 (sqrt.f64 2) (-.f64 x x)))))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(-.f64 (.f64 (sqrt.f64 2) (-.f64 x x)) (.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(-.f64 (.f64 0 (+.f64 (sqrt.f64 2) x)) (.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(-.f64 (.f64 2 (.f64 (sqrt.f64 2) x)) (+.f64 (.f64 (sqrt.f64 2) x) (.f64 2 (*.f64 (sqrt.f64 2) x))))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(-.f64 (.f64 2 (.f64 (sqrt.f64 2) x)) (+.f64 (.f64 (sqrt.f64 2) x) (-.f64 (.f64 0 (+.f64 (sqrt.f64 2) x)) (.f64 (sqrt.f64 2) (.f64 x -2)))))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(-.f64 (.f64 2 (.f64 (sqrt.f64 2) x)) (+.f64 (.f64 (sqrt.f64 2) x) (-.f64 (.f64 2 (.f64 (sqrt.f64 2) x)) (.f64 0 (+.f64 (sqrt.f64 2) x)))))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(-.f64 (.f64 2 (.f64 (sqrt.f64 2) (.f64 x -2))) (.f64 (sqrt.f64 2) (*.f64 x -3)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x -4)) (neg.f64 (.f64 (sqrt.f64 2) (.f64 x -3))))
(+.f64 0 (.f64 (sqrt.f64 2) (-.f64 (.f64 x -4) (*.f64 x -3))))
(.f64 (sqrt.f64 2) (-.f64 (.f64 x -4) (*.f64 x -3)))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x -3)) (.f64 (sqrt.f64 2) (.f64 x -2)))
(.f64 (sqrt.f64 2) (-.f64 (.f64 x -3) (*.f64 x -2)))
(-.f64 (+.f64 (.f64 (sqrt.f64 2) 0) (.f64 0 (+.f64 (sqrt.f64 2) x))) (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(-.f64 (+.f64 (-.f64 x x) (.f64 0 (+.f64 (sqrt.f64 2) x))) (.f64 (sqrt.f64 2) x))
(+.f64 x (-.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) x))
(-.f64 (-.f64 x x) (*.f64 (sqrt.f64 2) x))
(-.f64 (-.f64 (.f64 0 (+.f64 (sqrt.f64 2) x)) (-.f64 x x)) (.f64 (sqrt.f64 2) x))
(+.f64 x (-.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) x))
(-.f64 (-.f64 x x) (*.f64 (sqrt.f64 2) x))
(-.f64 (-.f64 (.f64 0 (+.f64 (sqrt.f64 2) x)) (.f64 (sqrt.f64 2) (-.f64 x x))) (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(-.f64 (-.f64 (.f64 (sqrt.f64 2) (.f64 x -2)) (.f64 2 (.f64 (sqrt.f64 2) x))) (.f64 (sqrt.f64 2) (.f64 x -3)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x -4)) (neg.f64 (.f64 (sqrt.f64 2) (.f64 x -3))))
(+.f64 0 (.f64 (sqrt.f64 2) (-.f64 (.f64 x -4) (*.f64 x -3))))
(.f64 (sqrt.f64 2) (-.f64 (.f64 x -4) (*.f64 x -3)))
(-.f64 (+.f64 (-.f64 x x) (.f64 2 (.f64 (sqrt.f64 2) (.f64 x -2)))) (.f64 (sqrt.f64 2) (*.f64 x -3)))
(+.f64 (-.f64 x x) (-.f64 (.f64 (sqrt.f64 2) (.f64 x -4)) (.f64 (sqrt.f64 2) (.f64 x -3))))
(+.f64 (-.f64 x x) (.f64 (sqrt.f64 2) (-.f64 (.f64 x -4) (*.f64 x -3))))
(-.f64 (/.f64 (.f64 2 (+.f64 x x)) (/.f64 -1 (sqrt.f64 2))) (.f64 (sqrt.f64 2) (*.f64 x -3)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x -4)) (neg.f64 (.f64 (sqrt.f64 2) (.f64 x -3))))
(+.f64 0 (.f64 (sqrt.f64 2) (-.f64 (.f64 x -4) (*.f64 x -3))))
(.f64 (sqrt.f64 2) (-.f64 (.f64 x -4) (*.f64 x -3)))
(-.f64 (.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) 1/2) (.f64 (.f64 (sqrt.f64 2) x) 1/2))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(-.f64 (.f64 (sqrt.f64 2) (.f64 2 (.f64 x -2))) (.f64 (sqrt.f64 2) (*.f64 x -3)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x -4)) (neg.f64 (.f64 (sqrt.f64 2) (.f64 x -3))))
(+.f64 0 (.f64 (sqrt.f64 2) (-.f64 (.f64 x -4) (*.f64 x -3))))
(.f64 (sqrt.f64 2) (-.f64 (.f64 x -4) (*.f64 x -3)))
(-.f64 (.f64 (neg.f64 x) (.f64 2 (.f64 2 (sqrt.f64 2)))) (.f64 (sqrt.f64 2) (*.f64 x -3)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x -4)) (neg.f64 (.f64 (sqrt.f64 2) (.f64 x -3))))
(+.f64 0 (.f64 (sqrt.f64 2) (-.f64 (.f64 x -4) (*.f64 x -3))))
(.f64 (sqrt.f64 2) (-.f64 (.f64 x -4) (*.f64 x -3)))
(-.f64 (.f64 (neg.f64 (sqrt.f64 2)) (.f64 2 (+.f64 x x))) (.f64 (sqrt.f64 2) (.f64 x -3)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x -4)) (neg.f64 (.f64 (sqrt.f64 2) (.f64 x -3))))
(+.f64 0 (.f64 (sqrt.f64 2) (-.f64 (.f64 x -4) (*.f64 x -3))))
(.f64 (sqrt.f64 2) (-.f64 (.f64 x -4) (*.f64 x -3)))
(-.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 x -3))) (.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) 1/2))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x -3/2)) (.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) 1/2))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x -3/2)) (*.f64 (sqrt.f64 2) (/.f64 x -2)))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x -3/2)) (.f64 (sqrt.f64 2) (.f64 x -1/2)))
(-.f64 (+.f64 (.f64 2 (.f64 (sqrt.f64 2) x)) (.f64 2 (.f64 (sqrt.f64 2) x))) (+.f64 (.f64 2 (.f64 (sqrt.f64 2) x)) (+.f64 (.f64 (sqrt.f64 2) x) (.f64 2 (*.f64 (sqrt.f64 2) x)))))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(-.f64 (+.f64 (.f64 0 (+.f64 (sqrt.f64 2) x)) (.f64 0 (+.f64 (sqrt.f64 2) x))) (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(-.f64 (+.f64 (.f64 2 (.f64 (sqrt.f64 2) (.f64 x -2))) (.f64 2 (.f64 (sqrt.f64 2) (.f64 x -2)))) (+.f64 (.f64 2 (.f64 (sqrt.f64 2) (.f64 x -2))) (.f64 (sqrt.f64 2) (*.f64 x -3))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x -4)) (neg.f64 (.f64 (sqrt.f64 2) (.f64 x -3))))
(+.f64 0 (.f64 (sqrt.f64 2) (-.f64 (.f64 x -4) (*.f64 x -3))))
(.f64 (sqrt.f64 2) (-.f64 (.f64 x -4) (*.f64 x -3)))
(-.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 x -3)) (.f64 (sqrt.f64 2) (.f64 x -3))) (+.f64 (.f64 (sqrt.f64 2) (.f64 x -2)) (.f64 (sqrt.f64 2) (.f64 x -3))))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x -3)) (.f64 (sqrt.f64 2) (.f64 x -2)))
(.f64 (sqrt.f64 2) (-.f64 (.f64 x -3) (*.f64 x -2)))
(-.f64 (+.f64 (.f64 (sqrt.f64 2) (-.f64 x x)) (.f64 (sqrt.f64 2) (-.f64 x x))) (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(-.f64 (+.f64 (+.f64 (.f64 (sqrt.f64 2) 0) (.f64 0 (+.f64 (sqrt.f64 2) x))) (+.f64 (.f64 (sqrt.f64 2) 0) (.f64 0 (+.f64 (sqrt.f64 2) x)))) (+.f64 (+.f64 (.f64 (sqrt.f64 2) 0) (.f64 0 (+.f64 (sqrt.f64 2) x))) (*.f64 (sqrt.f64 2) x)))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(-.f64 (+.f64 (+.f64 (-.f64 x x) (.f64 0 (+.f64 (sqrt.f64 2) x))) (+.f64 (-.f64 x x) (.f64 0 (+.f64 (sqrt.f64 2) x)))) (+.f64 (+.f64 (-.f64 x x) (.f64 0 (+.f64 (sqrt.f64 2) x))) (.f64 (sqrt.f64 2) x)))
(+.f64 x (-.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) x))
(-.f64 (-.f64 x x) (*.f64 (sqrt.f64 2) x))
(-.f64 (+.f64 (-.f64 (.f64 0 (+.f64 (sqrt.f64 2) x)) (-.f64 x x)) (-.f64 (.f64 0 (+.f64 (sqrt.f64 2) x)) (-.f64 x x))) (+.f64 (-.f64 (.f64 0 (+.f64 (sqrt.f64 2) x)) (-.f64 x x)) (.f64 (sqrt.f64 2) x)))
(+.f64 x (-.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) x))
(-.f64 (-.f64 x x) (*.f64 (sqrt.f64 2) x))
(-.f64 (+.f64 (-.f64 (.f64 0 (+.f64 (sqrt.f64 2) x)) (.f64 (sqrt.f64 2) (-.f64 x x))) (-.f64 (.f64 0 (+.f64 (sqrt.f64 2) x)) (.f64 (sqrt.f64 2) (-.f64 x x)))) (+.f64 (-.f64 (.f64 0 (+.f64 (sqrt.f64 2) x)) (.f64 (sqrt.f64 2) (-.f64 x x))) (*.f64 (sqrt.f64 2) x)))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(-.f64 (+.f64 (-.f64 (.f64 (sqrt.f64 2) (.f64 x -2)) (.f64 2 (.f64 (sqrt.f64 2) x))) (-.f64 (.f64 (sqrt.f64 2) (.f64 x -2)) (.f64 2 (.f64 (sqrt.f64 2) x)))) (+.f64 (-.f64 (.f64 (sqrt.f64 2) (.f64 x -2)) (.f64 2 (.f64 (sqrt.f64 2) x))) (.f64 (sqrt.f64 2) (.f64 x -3))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x -4)) (neg.f64 (.f64 (sqrt.f64 2) (.f64 x -3))))
(+.f64 0 (.f64 (sqrt.f64 2) (-.f64 (.f64 x -4) (*.f64 x -3))))
(.f64 (sqrt.f64 2) (-.f64 (.f64 x -4) (*.f64 x -3)))
(-.f64 (+.f64 (+.f64 (-.f64 x x) (.f64 2 (.f64 (sqrt.f64 2) (.f64 x -2)))) (+.f64 (-.f64 x x) (.f64 2 (.f64 (sqrt.f64 2) (.f64 x -2))))) (+.f64 (+.f64 (-.f64 x x) (.f64 2 (.f64 (sqrt.f64 2) (.f64 x -2)))) (.f64 (sqrt.f64 2) (*.f64 x -3))))
(+.f64 (-.f64 x x) (-.f64 (.f64 (sqrt.f64 2) (.f64 x -4)) (.f64 (sqrt.f64 2) (.f64 x -3))))
(+.f64 (-.f64 x x) (.f64 (sqrt.f64 2) (-.f64 (.f64 x -4) (*.f64 x -3))))
(-.f64 (+.f64 (/.f64 (.f64 2 (+.f64 x x)) (/.f64 -1 (sqrt.f64 2))) (/.f64 (.f64 2 (+.f64 x x)) (/.f64 -1 (sqrt.f64 2)))) (+.f64 (/.f64 (.f64 2 (+.f64 x x)) (/.f64 -1 (sqrt.f64 2))) (.f64 (sqrt.f64 2) (*.f64 x -3))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x -4)) (neg.f64 (.f64 (sqrt.f64 2) (.f64 x -3))))
(+.f64 0 (.f64 (sqrt.f64 2) (-.f64 (.f64 x -4) (*.f64 x -3))))
(.f64 (sqrt.f64 2) (-.f64 (.f64 x -4) (*.f64 x -3)))
(-.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 2 (.f64 x -2))) (.f64 (sqrt.f64 2) (.f64 2 (.f64 x -2)))) (+.f64 (.f64 (sqrt.f64 2) (.f64 2 (.f64 x -2))) (.f64 (sqrt.f64 2) (*.f64 x -3))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x -4)) (neg.f64 (.f64 (sqrt.f64 2) (.f64 x -3))))
(+.f64 0 (.f64 (sqrt.f64 2) (-.f64 (.f64 x -4) (*.f64 x -3))))
(.f64 (sqrt.f64 2) (-.f64 (.f64 x -4) (*.f64 x -3)))
(-.f64 (+.f64 (.f64 (neg.f64 x) (.f64 2 (.f64 2 (sqrt.f64 2)))) (.f64 (neg.f64 x) (.f64 2 (.f64 2 (sqrt.f64 2))))) (+.f64 (.f64 (neg.f64 x) (.f64 2 (.f64 2 (sqrt.f64 2)))) (.f64 (sqrt.f64 2) (*.f64 x -3))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x -4)) (neg.f64 (.f64 (sqrt.f64 2) (.f64 x -3))))
(+.f64 0 (.f64 (sqrt.f64 2) (-.f64 (.f64 x -4) (*.f64 x -3))))
(.f64 (sqrt.f64 2) (-.f64 (.f64 x -4) (*.f64 x -3)))
(-.f64 (+.f64 (.f64 (neg.f64 (sqrt.f64 2)) (.f64 2 (+.f64 x x))) (.f64 (neg.f64 (sqrt.f64 2)) (.f64 2 (+.f64 x x)))) (+.f64 (.f64 (neg.f64 (sqrt.f64 2)) (.f64 2 (+.f64 x x))) (.f64 (sqrt.f64 2) (.f64 x -3))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x -4)) (neg.f64 (.f64 (sqrt.f64 2) (.f64 x -3))))
(+.f64 0 (.f64 (sqrt.f64 2) (-.f64 (.f64 x -4) (*.f64 x -3))))
(.f64 (sqrt.f64 2) (-.f64 (.f64 x -4) (*.f64 x -3)))
(-.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 x -3))) (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 x -3)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 x -3))) (.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) 1/2)))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x -3/2)) (.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) 1/2))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x -3/2)) (*.f64 (sqrt.f64 2) (/.f64 x -2)))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x -3/2)) (.f64 (sqrt.f64 2) (.f64 x -1/2)))
(-.f64 (+.f64 (+.f64 (.f64 0 (+.f64 (sqrt.f64 2) x)) (.f64 0 (+.f64 (sqrt.f64 2) x))) (+.f64 (.f64 0 (+.f64 (sqrt.f64 2) x)) (.f64 0 (+.f64 (sqrt.f64 2) x)))) (+.f64 (+.f64 (.f64 0 (+.f64 (sqrt.f64 2) x)) (.f64 0 (+.f64 (sqrt.f64 2) x))) (*.f64 (sqrt.f64 2) x)))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(-.f64 (+.f64 (+.f64 (.f64 2 (.f64 (sqrt.f64 2) (.f64 x -2))) (.f64 2 (.f64 (sqrt.f64 2) (.f64 x -2)))) (+.f64 (.f64 2 (.f64 (sqrt.f64 2) (.f64 x -2))) (.f64 2 (.f64 (sqrt.f64 2) (.f64 x -2))))) (+.f64 (+.f64 (.f64 2 (.f64 (sqrt.f64 2) (.f64 x -2))) (.f64 2 (.f64 (sqrt.f64 2) (.f64 x -2)))) (+.f64 (.f64 2 (.f64 (sqrt.f64 2) (.f64 x -2))) (.f64 (sqrt.f64 2) (*.f64 x -3)))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x -4)) (neg.f64 (.f64 (sqrt.f64 2) (.f64 x -3))))
(+.f64 0 (.f64 (sqrt.f64 2) (-.f64 (.f64 x -4) (*.f64 x -3))))
(.f64 (sqrt.f64 2) (-.f64 (.f64 x -4) (*.f64 x -3)))
(/.f64 (sqrt.f64 2) (/.f64 -1 x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(/.f64 x (/.f64 -1 (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(/.f64 x (-.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 (/.f64 1 (sqrt.f64 2)) 1/2)))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(/.f64 (neg.f64 x) (/.f64 1 (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(/.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) 1)
(*.f64 (sqrt.f64 2) (neg.f64 x))
(/.f64 1 (/.f64 -1 (*.f64 (sqrt.f64 2) x)))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(/.f64 -1 (/.f64 (/.f64 1 x) (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(/.f64 -1 (/.f64 (/.f64 1 (sqrt.f64 2)) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(/.f64 -1 (*.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 x)))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(/.f64 -1 (/.f64 -1 (*.f64 (sqrt.f64 2) (neg.f64 x))))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(/.f64 -1 (/.f64 1 (*.f64 (sqrt.f64 2) x)))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(/.f64 (neg.f64 (sqrt.f64 2)) (/.f64 1 x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(/.f64 (neg.f64 (sqrt.f64 2)) (-.f64 (/.f64 -1 x) (/.f64 (/.f64 -1 x) 1/2)))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(/.f64 (*.f64 (sqrt.f64 2) x) -1)
(*.f64 (sqrt.f64 2) (neg.f64 x))
(/.f64 (*.f64 2 (sqrt.f64 2)) (/.f64 (/.f64 -1 x) 1/2))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(/.f64 (*.f64 x -2) (/.f64 (/.f64 1 (sqrt.f64 2)) 1/2))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(/.f64 1/2 (/.f64 (/.f64 -1/2 x) (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(/.f64 1/2 (/.f64 (/.f64 1/2 (sqrt.f64 2)) (neg.f64 x)))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(/.f64 1/2 (/.f64 (/.f64 -1 x) (*.f64 2 (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(/.f64 1/2 (/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 x -2)))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(/.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 x -2))))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(/.f64 1/2 (/.f64 -1 (.f64 2 (.f64 (sqrt.f64 2) x))))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(/.f64 -1/2 (/.f64 (/.f64 1/2 x) (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(/.f64 -1/2 (/.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 x x)))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(/.f64 (*.f64 x -1/2) (/.f64 1/2 (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(/.f64 (*.f64 (sqrt.f64 2) 1/2) (/.f64 -1/2 x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(/.f64 (/.f64 (sqrt.f64 2) -2) (/.f64 1/2 x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(/.f64 (-.f64 (.f64 (sqrt.f64 2) 3) (-.f64 (.f64 2 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -2))) (/.f64 1 x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(/.f64 (-.f64 (.f64 (sqrt.f64 2) 1/2) (.f64 1/2 (*.f64 (sqrt.f64 2) 3))) (/.f64 1 x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(/.f64 (-.f64 (+.f64 (.f64 2 (.f64 2 (sqrt.f64 2))) (.f64 (sqrt.f64 2) 3)) (+.f64 (.f64 2 (.f64 2 (sqrt.f64 2))) (.f64 2 (*.f64 2 (sqrt.f64 2))))) (/.f64 1 x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(/.f64 (-.f64 (.f64 x 3) (-.f64 x (.f64 x -3))) (/.f64 1 (sqrt.f64 2)))
(.f64 (-.f64 (.f64 x -3) (-.f64 x (*.f64 x 3))) (/.f64 (sqrt.f64 2) 1))
(.f64 (sqrt.f64 2) (-.f64 (.f64 x -3) (-.f64 x (*.f64 x 3))))
(/.f64 (-.f64 (.f64 x -1/2) (.f64 (neg.f64 x) -1/2)) (/.f64 1 (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(/.f64 (-.f64 (.f64 -1 (.f64 x -3)) (*.f64 2 (+.f64 x x))) (/.f64 1 (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(/.f64 (-.f64 (.f64 x 1/2) (.f64 1/2 (*.f64 x 3))) (/.f64 1 (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(/.f64 (-.f64 (+.f64 (.f64 2 (+.f64 x x)) (.f64 x 3)) (+.f64 (.f64 2 (+.f64 x x)) (.f64 2 (+.f64 x x)))) (/.f64 1 (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(/.f64 (-.f64 (.f64 x 1/2) (.f64 x -1/2)) (/.f64 -1 (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(/.f64 (-.f64 (.f64 x -1/2) (.f64 1/2 (*.f64 x -3))) (/.f64 -1 (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(/.f64 (-.f64 (.f64 x -1/2) (.f64 -1/2 (*.f64 x 3))) (/.f64 -1 (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(/.f64 (-.f64 (+.f64 (.f64 2 (.f64 x -2)) (.f64 x -3)) (+.f64 (.f64 2 (.f64 x -2)) (.f64 2 (*.f64 x -2)))) (/.f64 -1 (sqrt.f64 2)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x -4)) (neg.f64 (.f64 (sqrt.f64 2) (.f64 x -3))))
(+.f64 0 (.f64 (sqrt.f64 2) (-.f64 (.f64 x -4) (*.f64 x -3))))
(.f64 (sqrt.f64 2) (-.f64 (.f64 x -4) (*.f64 x -3)))
(/.f64 (-.f64 (neg.f64 (.f64 (sqrt.f64 2) 3)) (neg.f64 (.f64 2 (*.f64 2 (sqrt.f64 2))))) (/.f64 -1 x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(/.f64 (-.f64 (.f64 -1 (.f64 (sqrt.f64 2) 3)) (neg.f64 (.f64 2 (.f64 2 (sqrt.f64 2))))) (/.f64 -1 x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(/.f64 (-.f64 (.f64 (neg.f64 x) -1/2) (.f64 -1/2 (*.f64 x -3))) (/.f64 1 (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.7b	(-.f64 (*.f64 x 3) x)
✓	27.8b	(sqrt.f64 (.f64 x (-.f64 (.f64 x 3) x)))

Compiler

Compiled 26 to 16 computations (38.5% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(sqrt.f64 (.f64 x (-.f64 (.f64 x 3) x)))
0.0ms	x	@	inf	(-.f64 (*.f64 x 3) x)
0.0ms	x	@	inf	(sqrt.f64 (.f64 x (-.f64 (.f64 x 3) x)))
0.0ms	x	@	-inf	(sqrt.f64 (.f64 x (-.f64 (.f64 x 3) x)))
0.0ms	x	@	-inf	(-.f64 (*.f64 x 3) x)

rewrite49.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1220×	`rational.json-simplify-3`
1004×	`rational.json-simplify-12`
800×	`rational.json-simplify-2`
690×	`rational.json-simplify-42`
596×	`rational.json-simplify-24`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	36
1	58	24
2	220	24
3	1222	24

Stop Event

1×	node limit

Counts

2 → 100

Calls

Call 1

Inputs
(sqrt.f64 (.f64 x (-.f64 (.f64 x 3) x)))
(-.f64 (*.f64 x 3) x)

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 x x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 3) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 3) (+.f64 (*.f64 x 4) (*.f64 x -5)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x x) (-.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (*.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x -2) (*.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 6) (*.f64 x -4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 6) (*.f64 1/2 (-.f64 x (*.f64 x 9))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 4) (*.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x -3) (*.f64 x 5))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x -3) (*.f64 -1 (*.f64 x -5)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x -3) (/.f64 (*.f64 x -5) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x x) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 12) (neg.f64 (*.f64 x 10)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 12) (+.f64 0 (neg.f64 (*.f64 x 10))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 12) (-.f64 (neg.f64 x) (*.f64 x 9)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 12) (*.f64 1 (neg.f64 (*.f64 x 10))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 10) (-.f64 0 (*.f64 x 8)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 10) (-.f64 (*.f64 x 4) (*.f64 x 12)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x -4) (*.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 x 10)) (*.f64 x 12))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 5) (*.f64 x -3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x 3) 1/2) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 8) (*.f64 x -6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 8) (-.f64 (*.f64 x 4) (*.f64 x 10)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 x 12) (*.f64 x 12)) (-.f64 0 (+.f64 (*.f64 x 12) (*.f64 x 10))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/2) (*.f64 (*.f64 x 3) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 (+.f64 (*.f64 x 12) (*.f64 x 10)) (+.f64 (*.f64 x 12) (*.f64 x 12))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 (-.f64 x x) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -4) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (-.f64 (-.f64 x x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 8) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (*.f64 x -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (-.f64 (*.f64 x 4) (*.f64 x 8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (-.f64 (*.f64 x 10) (+.f64 (*.f64 x 6) (*.f64 x 8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 1/4 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 (*.f64 x 12) (*.f64 x 10)) (+.f64 (*.f64 x 12) (*.f64 x 12))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (-.f64 x x) (+.f64 x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 x -2))))))

simplify52.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1234×	`rational.json-simplify-3`
1128×	`rational.json-simplify-29`
1124×	`rational.json-simplify-2`
1062×	`rational.json-simplify-12`
606×	`rational.json-simplify-21`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	197	1370
1	547	1362
2	1878	1362

Stop Event

1×	node limit

Counts

124 → 106

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
(+.f64 (sqrt.f64 (/.f64 x (/.f64 1/2 x))) 0)
(+.f64 (sqrt.f64 (/.f64 x (/.f64 1/2 x))) (*.f64 (sqrt.f64 (/.f64 x (/.f64 1/2 x))) 0))
(+.f64 (sqrt.f64 (/.f64 x (/.f64 1/2 x))) (+.f64 0 (*.f64 (sqrt.f64 (/.f64 x (/.f64 1/2 x))) 0)))
(+.f64 (sqrt.f64 (/.f64 x (/.f64 1/2 x))) (-.f64 0 (*.f64 (sqrt.f64 (/.f64 x (/.f64 1/2 x))) 0)))
(+.f64 0 (sqrt.f64 (/.f64 x (/.f64 1/2 x))))
(+.f64 (neg.f64 (sqrt.f64 (/.f64 x (/.f64 1/2 x)))) (*.f64 (sqrt.f64 (/.f64 x (/.f64 1/2 x))) 2))
(+.f64 (*.f64 (sqrt.f64 (/.f64 x (/.f64 1/2 x))) 2) (neg.f64 (sqrt.f64 (/.f64 x (/.f64 1/2 x)))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 x (/.f64 1/2 x))) 0) (sqrt.f64 (/.f64 x (/.f64 1/2 x))))
(+.f64 (.f64 (.f64 (sqrt.f64 (/.f64 x (/.f64 1/2 x))) 2) 2) (-.f64 0 (*.f64 (sqrt.f64 (/.f64 x (/.f64 1/2 x))) 3)))
(+.f64 (.f64 (sqrt.f64 (/.f64 x (/.f64 1/2 x))) 1/2) (.f64 1/2 (sqrt.f64 (/.f64 x (/.f64 1/2 x)))))
(-.f64 (sqrt.f64 (/.f64 x (/.f64 1/2 x))) 0)
(-.f64 (sqrt.f64 (/.f64 x (/.f64 1/2 x))) (*.f64 (sqrt.f64 (/.f64 x (/.f64 1/2 x))) 0))
(-.f64 0 (neg.f64 (sqrt.f64 (/.f64 x (/.f64 1/2 x)))))
(-.f64 0 (*.f64 -1 (sqrt.f64 (/.f64 x (/.f64 1/2 x)))))
(-.f64 (neg.f64 (sqrt.f64 (/.f64 x (/.f64 1/2 x)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 x (/.f64 1/2 x))) 2) -1))
(-.f64 (neg.f64 (sqrt.f64 (/.f64 x (/.f64 1/2 x)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 x (/.f64 1/2 x))) 2)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 x (/.f64 1/2 x))) 2) (sqrt.f64 (/.f64 x (/.f64 1/2 x))))
(-.f64 (.f64 (.f64 (sqrt.f64 (/.f64 x (/.f64 1/2 x))) 2) 2) (*.f64 (sqrt.f64 (/.f64 x (/.f64 1/2 x))) 3))
(-.f64 (.f64 (sqrt.f64 (/.f64 x (/.f64 1/2 x))) 3) (.f64 (sqrt.f64 (/.f64 x (/.f64 1/2 x))) 2))
(-.f64 (.f64 (.f64 (sqrt.f64 (/.f64 x (/.f64 1/2 x))) 3) 1/2) (*.f64 1/2 (sqrt.f64 (/.f64 x (/.f64 1/2 x)))))
(-.f64 (+.f64 (.f64 (.f64 (sqrt.f64 (/.f64 x (/.f64 1/2 x))) 2) 2) (.f64 (.f64 (sqrt.f64 (/.f64 x (/.f64 1/2 x))) 2) 2)) (+.f64 (.f64 (.f64 (sqrt.f64 (/.f64 x (/.f64 1/2 x))) 2) 2) (*.f64 (sqrt.f64 (/.f64 x (/.f64 1/2 x))) 3)))
(*.f64 (sqrt.f64 (/.f64 x (/.f64 1/2 x))) 1)
(*.f64 1 (sqrt.f64 (/.f64 x (/.f64 1/2 x))))
(*.f64 -1 (neg.f64 (sqrt.f64 (/.f64 x (/.f64 1/2 x)))))
(.f64 -1 (-.f64 (.f64 (sqrt.f64 (/.f64 x (/.f64 1/2 x))) 0) (sqrt.f64 (/.f64 x (/.f64 1/2 x)))))
(.f64 -1 (-.f64 (.f64 (sqrt.f64 (/.f64 x (/.f64 1/2 x))) 3) (.f64 (.f64 (sqrt.f64 (/.f64 x (/.f64 1/2 x))) 2) 2)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 x (/.f64 1/2 x)))) -1)
(*.f64 2 (/.f64 1/2 (/.f64 1 (sqrt.f64 (/.f64 x (/.f64 1/2 x))))))
(.f64 (.f64 (sqrt.f64 (/.f64 x (/.f64 1/2 x))) 2) 1/2)
(.f64 1/2 (.f64 (sqrt.f64 (/.f64 x (/.f64 1/2 x))) 2))
(*.f64 (-.f64 (neg.f64 (sqrt.f64 (/.f64 x (/.f64 1/2 x)))) (sqrt.f64 (/.f64 x (/.f64 1/2 x)))) -1/2)
(*.f64 -1/2 (-.f64 (neg.f64 (sqrt.f64 (/.f64 x (/.f64 1/2 x)))) (sqrt.f64 (/.f64 x (/.f64 1/2 x)))))
(.f64 -1/2 (-.f64 (sqrt.f64 (/.f64 x (/.f64 1/2 x))) (.f64 (sqrt.f64 (/.f64 x (/.f64 1/2 x))) 3)))
(.f64 -1/2 (-.f64 0 (.f64 (sqrt.f64 (/.f64 x (/.f64 1/2 x))) 2)))
(/.f64 (sqrt.f64 (/.f64 x (/.f64 1/2 x))) 1)
(/.f64 1 (/.f64 1 (sqrt.f64 (/.f64 x (/.f64 1/2 x)))))
(/.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 (/.f64 x (/.f64 1/2 x))))))
(/.f64 (neg.f64 (sqrt.f64 (/.f64 x (/.f64 1/2 x)))) -1)
(/.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 (/.f64 x (/.f64 1/2 x))) 2)))
(/.f64 1/2 (/.f64 -1 (-.f64 (neg.f64 (sqrt.f64 (/.f64 x (/.f64 1/2 x)))) (sqrt.f64 (/.f64 x (/.f64 1/2 x))))))
(/.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 x (/.f64 1/2 x))) 0) (sqrt.f64 (/.f64 x (/.f64 1/2 x)))) -1)
(/.f64 (-.f64 (.f64 (sqrt.f64 (/.f64 x (/.f64 1/2 x))) 3) (.f64 (*.f64 (sqrt.f64 (/.f64 x (/.f64 1/2 x))) 2) 2)) -1)
(neg.f64 (neg.f64 (sqrt.f64 (/.f64 x (/.f64 1/2 x)))))
(+.f64 x x)
(+.f64 (*.f64 x 3) (neg.f64 x))
(+.f64 (.f64 x 3) (+.f64 (.f64 x 4) (*.f64 x -5)))
(+.f64 (+.f64 x x) 0)
(+.f64 (+.f64 x x) (-.f64 x x))
(+.f64 0 (+.f64 x x))
(+.f64 (neg.f64 x) (*.f64 x 3))
(+.f64 (.f64 x -2) (.f64 x 4))
(+.f64 (.f64 x 6) (.f64 x -4))
(+.f64 (.f64 x 6) (.f64 1/2 (-.f64 x (*.f64 x 9))))
(+.f64 (.f64 x 4) (.f64 x -2))
(+.f64 (.f64 x -3) (.f64 x 5))
(+.f64 (.f64 x -3) (.f64 -1 (*.f64 x -5)))
(+.f64 (.f64 x -3) (/.f64 (.f64 x -5) -1))
(+.f64 (-.f64 x x) (+.f64 x x))
(+.f64 (.f64 x 12) (neg.f64 (.f64 x 10)))
(+.f64 (.f64 x 12) (+.f64 0 (neg.f64 (.f64 x 10))))
(+.f64 (.f64 x 12) (-.f64 (neg.f64 x) (.f64 x 9)))
(+.f64 (.f64 x 12) (.f64 1 (neg.f64 (*.f64 x 10))))
(+.f64 (.f64 x 10) (-.f64 0 (.f64 x 8)))
(+.f64 (.f64 x 10) (-.f64 (.f64 x 4) (*.f64 x 12)))
(+.f64 (.f64 x -4) (.f64 x 6))
(+.f64 (neg.f64 (.f64 x 10)) (.f64 x 12))
(+.f64 (.f64 x 5) (.f64 x -3))
(+.f64 (.f64 (.f64 x 3) 1/2) (*.f64 x 1/2))
(+.f64 (.f64 x 8) (.f64 x -6))
(+.f64 (.f64 x 8) (-.f64 (.f64 x 4) (*.f64 x 10)))
(+.f64 (+.f64 (.f64 x 12) (.f64 x 12)) (-.f64 0 (+.f64 (.f64 x 12) (.f64 x 10))))
(+.f64 (.f64 x 1/2) (.f64 (*.f64 x 3) 1/2))
(*.f64 x 2)
(*.f64 (+.f64 x x) 1)
(*.f64 1 (+.f64 x x))
(*.f64 (neg.f64 x) -2)
(.f64 (.f64 x -2) -1)
(.f64 (.f64 x 4) 1/2)
(.f64 -1 (.f64 x -2))
(.f64 -1 (-.f64 (+.f64 (.f64 x 12) (.f64 x 10)) (+.f64 (.f64 x 12) (*.f64 x 12))))
(*.f64 -1 (-.f64 (-.f64 x x) (+.f64 x x)))
(*.f64 2 x)
(.f64 4 (.f64 x 1/2))
(.f64 1/2 (.f64 x 4))
(.f64 (.f64 x -4) -1/2)
(*.f64 -2 (neg.f64 x))
(*.f64 -2 (-.f64 (-.f64 x x) x))
(.f64 (.f64 x 8) 1/4)
(.f64 -1/2 (.f64 x -4))
(.f64 -1/2 (-.f64 (.f64 x 4) (*.f64 x 8)))
(.f64 -1/2 (-.f64 (.f64 x 10) (+.f64 (.f64 x 6) (.f64 x 8))))
(/.f64 (+.f64 x x) 1)
(/.f64 1 (/.f64 1/2 x))
(/.f64 (*.f64 x -2) -1)
(/.f64 -1 (neg.f64 (/.f64 1/2 x)))
(/.f64 2 (/.f64 1 x))
(/.f64 1/2 (/.f64 1/4 x))
(/.f64 (-.f64 (+.f64 (.f64 x 12) (.f64 x 10)) (+.f64 (.f64 x 12) (.f64 x 12))) -1)
(/.f64 (-.f64 (-.f64 x x) (+.f64 x x)) -1)
(neg.f64 (*.f64 x -2))

Outputs
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 (sqrt.f64 2) (.f64 -1 x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 (sqrt.f64 2) (.f64 -1 x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 (sqrt.f64 2) (.f64 -1 x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 (sqrt.f64 2) (.f64 -1 x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 2 x)
(+.f64 x x)
(*.f64 2 x)
(+.f64 x x)
(*.f64 2 x)
(+.f64 x x)
(*.f64 2 x)
(+.f64 x x)
(*.f64 2 x)
(+.f64 x x)
(*.f64 2 x)
(+.f64 x x)
(*.f64 2 x)
(+.f64 x x)
(*.f64 2 x)
(+.f64 x x)
(*.f64 2 x)
(+.f64 x x)
(*.f64 2 x)
(+.f64 x x)
(*.f64 2 x)
(+.f64 x x)
(*.f64 2 x)
(+.f64 x x)
(+.f64 (sqrt.f64 (/.f64 x (/.f64 1/2 x))) 0)
(sqrt.f64 (*.f64 x (/.f64 x 1/2)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(+.f64 (sqrt.f64 (/.f64 x (/.f64 1/2 x))) (*.f64 (sqrt.f64 (/.f64 x (/.f64 1/2 x))) 0))
(sqrt.f64 (*.f64 x (/.f64 x 1/2)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(+.f64 (sqrt.f64 (/.f64 x (/.f64 1/2 x))) (+.f64 0 (*.f64 (sqrt.f64 (/.f64 x (/.f64 1/2 x))) 0)))
(sqrt.f64 (*.f64 x (/.f64 x 1/2)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(+.f64 (sqrt.f64 (/.f64 x (/.f64 1/2 x))) (-.f64 0 (*.f64 (sqrt.f64 (/.f64 x (/.f64 1/2 x))) 0)))
(sqrt.f64 (*.f64 x (/.f64 x 1/2)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(+.f64 0 (sqrt.f64 (/.f64 x (/.f64 1/2 x))))
(sqrt.f64 (*.f64 x (/.f64 x 1/2)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(+.f64 (neg.f64 (sqrt.f64 (/.f64 x (/.f64 1/2 x)))) (*.f64 (sqrt.f64 (/.f64 x (/.f64 1/2 x))) 2))
(sqrt.f64 (*.f64 x (/.f64 x 1/2)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(+.f64 (*.f64 (sqrt.f64 (/.f64 x (/.f64 1/2 x))) 2) (neg.f64 (sqrt.f64 (/.f64 x (/.f64 1/2 x)))))
(sqrt.f64 (*.f64 x (/.f64 x 1/2)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(+.f64 (*.f64 (sqrt.f64 (/.f64 x (/.f64 1/2 x))) 0) (sqrt.f64 (/.f64 x (/.f64 1/2 x))))
(sqrt.f64 (*.f64 x (/.f64 x 1/2)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(+.f64 (.f64 (.f64 (sqrt.f64 (/.f64 x (/.f64 1/2 x))) 2) 2) (-.f64 0 (*.f64 (sqrt.f64 (/.f64 x (/.f64 1/2 x))) 3)))
(sqrt.f64 (*.f64 x (/.f64 x 1/2)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(+.f64 (.f64 (sqrt.f64 (/.f64 x (/.f64 1/2 x))) 1/2) (.f64 1/2 (sqrt.f64 (/.f64 x (/.f64 1/2 x)))))
(sqrt.f64 (*.f64 x (/.f64 x 1/2)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(-.f64 (sqrt.f64 (/.f64 x (/.f64 1/2 x))) 0)
(sqrt.f64 (*.f64 x (/.f64 x 1/2)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(-.f64 (sqrt.f64 (/.f64 x (/.f64 1/2 x))) (*.f64 (sqrt.f64 (/.f64 x (/.f64 1/2 x))) 0))
(sqrt.f64 (*.f64 x (/.f64 x 1/2)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(-.f64 0 (neg.f64 (sqrt.f64 (/.f64 x (/.f64 1/2 x)))))
(sqrt.f64 (*.f64 x (/.f64 x 1/2)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(-.f64 0 (*.f64 -1 (sqrt.f64 (/.f64 x (/.f64 1/2 x)))))
(sqrt.f64 (*.f64 x (/.f64 x 1/2)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(-.f64 (neg.f64 (sqrt.f64 (/.f64 x (/.f64 1/2 x)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 x (/.f64 1/2 x))) 2) -1))
(sqrt.f64 (*.f64 x (/.f64 x 1/2)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(-.f64 (neg.f64 (sqrt.f64 (/.f64 x (/.f64 1/2 x)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 x (/.f64 1/2 x))) 2)))
(sqrt.f64 (*.f64 x (/.f64 x 1/2)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 x (/.f64 1/2 x))) 2) (sqrt.f64 (/.f64 x (/.f64 1/2 x))))
(sqrt.f64 (*.f64 x (/.f64 x 1/2)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(-.f64 (.f64 (.f64 (sqrt.f64 (/.f64 x (/.f64 1/2 x))) 2) 2) (*.f64 (sqrt.f64 (/.f64 x (/.f64 1/2 x))) 3))
(sqrt.f64 (*.f64 x (/.f64 x 1/2)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(-.f64 (.f64 (sqrt.f64 (/.f64 x (/.f64 1/2 x))) 3) (.f64 (sqrt.f64 (/.f64 x (/.f64 1/2 x))) 2))
(sqrt.f64 (*.f64 x (/.f64 x 1/2)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(-.f64 (.f64 (.f64 (sqrt.f64 (/.f64 x (/.f64 1/2 x))) 3) 1/2) (*.f64 1/2 (sqrt.f64 (/.f64 x (/.f64 1/2 x)))))
(sqrt.f64 (*.f64 x (/.f64 x 1/2)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(-.f64 (+.f64 (.f64 (.f64 (sqrt.f64 (/.f64 x (/.f64 1/2 x))) 2) 2) (.f64 (.f64 (sqrt.f64 (/.f64 x (/.f64 1/2 x))) 2) 2)) (+.f64 (.f64 (.f64 (sqrt.f64 (/.f64 x (/.f64 1/2 x))) 2) 2) (*.f64 (sqrt.f64 (/.f64 x (/.f64 1/2 x))) 3)))
(sqrt.f64 (*.f64 x (/.f64 x 1/2)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(*.f64 (sqrt.f64 (/.f64 x (/.f64 1/2 x))) 1)
(sqrt.f64 (*.f64 x (/.f64 x 1/2)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(*.f64 1 (sqrt.f64 (/.f64 x (/.f64 1/2 x))))
(sqrt.f64 (*.f64 x (/.f64 x 1/2)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(*.f64 -1 (neg.f64 (sqrt.f64 (/.f64 x (/.f64 1/2 x)))))
(sqrt.f64 (*.f64 x (/.f64 x 1/2)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(.f64 -1 (-.f64 (.f64 (sqrt.f64 (/.f64 x (/.f64 1/2 x))) 0) (sqrt.f64 (/.f64 x (/.f64 1/2 x)))))
(sqrt.f64 (*.f64 x (/.f64 x 1/2)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(.f64 -1 (-.f64 (.f64 (sqrt.f64 (/.f64 x (/.f64 1/2 x))) 3) (.f64 (.f64 (sqrt.f64 (/.f64 x (/.f64 1/2 x))) 2) 2)))
(sqrt.f64 (*.f64 x (/.f64 x 1/2)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 x (/.f64 1/2 x)))) -1)
(sqrt.f64 (*.f64 x (/.f64 x 1/2)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(*.f64 2 (/.f64 1/2 (/.f64 1 (sqrt.f64 (/.f64 x (/.f64 1/2 x))))))
(sqrt.f64 (*.f64 x (/.f64 x 1/2)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(.f64 (.f64 (sqrt.f64 (/.f64 x (/.f64 1/2 x))) 2) 1/2)
(sqrt.f64 (*.f64 x (/.f64 x 1/2)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(.f64 1/2 (.f64 (sqrt.f64 (/.f64 x (/.f64 1/2 x))) 2))
(sqrt.f64 (*.f64 x (/.f64 x 1/2)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(*.f64 (-.f64 (neg.f64 (sqrt.f64 (/.f64 x (/.f64 1/2 x)))) (sqrt.f64 (/.f64 x (/.f64 1/2 x)))) -1/2)
(sqrt.f64 (*.f64 x (/.f64 x 1/2)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(*.f64 -1/2 (-.f64 (neg.f64 (sqrt.f64 (/.f64 x (/.f64 1/2 x)))) (sqrt.f64 (/.f64 x (/.f64 1/2 x)))))
(sqrt.f64 (*.f64 x (/.f64 x 1/2)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(.f64 -1/2 (-.f64 (sqrt.f64 (/.f64 x (/.f64 1/2 x))) (.f64 (sqrt.f64 (/.f64 x (/.f64 1/2 x))) 3)))
(sqrt.f64 (*.f64 x (/.f64 x 1/2)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(.f64 -1/2 (-.f64 0 (.f64 (sqrt.f64 (/.f64 x (/.f64 1/2 x))) 2)))
(sqrt.f64 (*.f64 x (/.f64 x 1/2)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(/.f64 (sqrt.f64 (/.f64 x (/.f64 1/2 x))) 1)
(sqrt.f64 (*.f64 x (/.f64 x 1/2)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(/.f64 1 (/.f64 1 (sqrt.f64 (/.f64 x (/.f64 1/2 x)))))
(sqrt.f64 (*.f64 x (/.f64 x 1/2)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(/.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 (/.f64 x (/.f64 1/2 x))))))
(sqrt.f64 (*.f64 x (/.f64 x 1/2)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(/.f64 (neg.f64 (sqrt.f64 (/.f64 x (/.f64 1/2 x)))) -1)
(sqrt.f64 (*.f64 x (/.f64 x 1/2)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(/.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 (/.f64 x (/.f64 1/2 x))) 2)))
(sqrt.f64 (*.f64 x (/.f64 x 1/2)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(/.f64 1/2 (/.f64 -1 (-.f64 (neg.f64 (sqrt.f64 (/.f64 x (/.f64 1/2 x)))) (sqrt.f64 (/.f64 x (/.f64 1/2 x))))))
(sqrt.f64 (*.f64 x (/.f64 x 1/2)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(/.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 x (/.f64 1/2 x))) 0) (sqrt.f64 (/.f64 x (/.f64 1/2 x)))) -1)
(sqrt.f64 (*.f64 x (/.f64 x 1/2)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(/.f64 (-.f64 (.f64 (sqrt.f64 (/.f64 x (/.f64 1/2 x))) 3) (.f64 (*.f64 (sqrt.f64 (/.f64 x (/.f64 1/2 x))) 2) 2)) -1)
(sqrt.f64 (*.f64 x (/.f64 x 1/2)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(neg.f64 (neg.f64 (sqrt.f64 (/.f64 x (/.f64 1/2 x)))))
(sqrt.f64 (*.f64 x (/.f64 x 1/2)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(+.f64 x x)
(*.f64 2 x)
(+.f64 (*.f64 x 3) (neg.f64 x))
(*.f64 2 x)
(+.f64 x x)
(+.f64 (.f64 x 3) (+.f64 (.f64 x 4) (*.f64 x -5)))
(*.f64 2 x)
(+.f64 x x)
(+.f64 (+.f64 x x) 0)
(*.f64 2 x)
(+.f64 x x)
(+.f64 (+.f64 x x) (-.f64 x x))
(*.f64 2 x)
(+.f64 x x)
(+.f64 0 (+.f64 x x))
(*.f64 2 x)
(+.f64 x x)
(+.f64 (neg.f64 x) (*.f64 x 3))
(*.f64 2 x)
(+.f64 x x)
(+.f64 (.f64 x -2) (.f64 x 4))
(*.f64 2 x)
(+.f64 x x)
(+.f64 (.f64 x 6) (.f64 x -4))
(*.f64 2 x)
(+.f64 x x)
(+.f64 (.f64 x 6) (.f64 1/2 (-.f64 x (*.f64 x 9))))
(*.f64 2 x)
(+.f64 x x)
(+.f64 (.f64 x 4) (.f64 x -2))
(*.f64 2 x)
(+.f64 x x)
(+.f64 (.f64 x -3) (.f64 x 5))
(*.f64 2 x)
(+.f64 x x)
(+.f64 (.f64 x -3) (.f64 -1 (*.f64 x -5)))
(*.f64 2 x)
(+.f64 x x)
(+.f64 (.f64 x -3) (/.f64 (.f64 x -5) -1))
(*.f64 2 x)
(+.f64 x x)
(+.f64 (-.f64 x x) (+.f64 x x))
(*.f64 2 x)
(+.f64 x x)
(+.f64 (.f64 x 12) (neg.f64 (.f64 x 10)))
(*.f64 2 x)
(+.f64 x x)
(+.f64 (.f64 x 12) (+.f64 0 (neg.f64 (.f64 x 10))))
(*.f64 2 x)
(+.f64 x x)
(+.f64 (.f64 x 12) (-.f64 (neg.f64 x) (.f64 x 9)))
(*.f64 2 x)
(+.f64 x x)
(+.f64 (.f64 x 12) (.f64 1 (neg.f64 (*.f64 x 10))))
(*.f64 2 x)
(+.f64 x x)
(+.f64 (.f64 x 10) (-.f64 0 (.f64 x 8)))
(*.f64 2 x)
(+.f64 x x)
(+.f64 (.f64 x 10) (-.f64 (.f64 x 4) (*.f64 x 12)))
(*.f64 2 x)
(+.f64 x x)
(+.f64 (.f64 x -4) (.f64 x 6))
(*.f64 2 x)
(+.f64 x x)
(+.f64 (neg.f64 (.f64 x 10)) (.f64 x 12))
(*.f64 2 x)
(+.f64 x x)
(+.f64 (.f64 x 5) (.f64 x -3))
(*.f64 2 x)
(+.f64 x x)
(+.f64 (.f64 (.f64 x 3) 1/2) (*.f64 x 1/2))
(*.f64 2 x)
(+.f64 x x)
(+.f64 (.f64 x 8) (.f64 x -6))
(*.f64 2 x)
(+.f64 x x)
(+.f64 (.f64 x 8) (-.f64 (.f64 x 4) (*.f64 x 10)))
(*.f64 2 x)
(+.f64 x x)
(+.f64 (+.f64 (.f64 x 12) (.f64 x 12)) (-.f64 0 (+.f64 (.f64 x 12) (.f64 x 10))))
(*.f64 2 x)
(+.f64 x x)
(+.f64 (.f64 x 1/2) (.f64 (*.f64 x 3) 1/2))
(*.f64 2 x)
(+.f64 x x)
(*.f64 x 2)
(*.f64 2 x)
(+.f64 x x)
(*.f64 (+.f64 x x) 1)
(*.f64 2 x)
(+.f64 x x)
(*.f64 1 (+.f64 x x))
(*.f64 2 x)
(+.f64 x x)
(*.f64 (neg.f64 x) -2)
(*.f64 2 x)
(+.f64 x x)
(.f64 (.f64 x -2) -1)
(*.f64 2 x)
(+.f64 x x)
(.f64 (.f64 x 4) 1/2)
(*.f64 2 x)
(+.f64 x x)
(.f64 -1 (.f64 x -2))
(*.f64 2 x)
(+.f64 x x)
(.f64 -1 (-.f64 (+.f64 (.f64 x 12) (.f64 x 10)) (+.f64 (.f64 x 12) (*.f64 x 12))))
(*.f64 2 x)
(+.f64 x x)
(*.f64 -1 (-.f64 (-.f64 x x) (+.f64 x x)))
(*.f64 2 x)
(+.f64 x x)
(*.f64 2 x)
(+.f64 x x)
(.f64 4 (.f64 x 1/2))
(*.f64 2 x)
(+.f64 x x)
(.f64 1/2 (.f64 x 4))
(*.f64 2 x)
(+.f64 x x)
(.f64 (.f64 x -4) -1/2)
(*.f64 2 x)
(+.f64 x x)
(*.f64 -2 (neg.f64 x))
(*.f64 2 x)
(+.f64 x x)
(*.f64 -2 (-.f64 (-.f64 x x) x))
(*.f64 2 x)
(+.f64 x x)
(.f64 (.f64 x 8) 1/4)
(*.f64 2 x)
(+.f64 x x)
(.f64 -1/2 (.f64 x -4))
(*.f64 2 x)
(+.f64 x x)
(.f64 -1/2 (-.f64 (.f64 x 4) (*.f64 x 8)))
(*.f64 2 x)
(+.f64 x x)
(.f64 -1/2 (-.f64 (.f64 x 10) (+.f64 (.f64 x 6) (.f64 x 8))))
(*.f64 2 x)
(+.f64 x x)
(/.f64 (+.f64 x x) 1)
(*.f64 2 x)
(+.f64 x x)
(/.f64 1 (/.f64 1/2 x))
(*.f64 2 x)
(+.f64 x x)
(/.f64 (*.f64 x -2) -1)
(*.f64 2 x)
(+.f64 x x)
(/.f64 -1 (neg.f64 (/.f64 1/2 x)))
(*.f64 2 x)
(+.f64 x x)
(/.f64 2 (/.f64 1 x))
(*.f64 2 x)
(+.f64 x x)
(/.f64 1/2 (/.f64 1/4 x))
(*.f64 2 x)
(+.f64 x x)
(/.f64 (-.f64 (+.f64 (.f64 x 12) (.f64 x 10)) (+.f64 (.f64 x 12) (.f64 x 12))) -1)
(*.f64 2 x)
(+.f64 x x)
(/.f64 (-.f64 (-.f64 x x) (+.f64 x x)) -1)
(*.f64 2 x)
(+.f64 x x)
(neg.f64 (*.f64 x -2))
(*.f64 2 x)
(+.f64 x x)

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.8b	(-.f64 (.f64 x -6) (.f64 x -8))
✓	27.8b	(sqrt.f64 (.f64 x (-.f64 (.f64 x -6) (*.f64 x -8))))

Compiler

Compiled 36 to 25 computations (30.6% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(sqrt.f64 (.f64 x (-.f64 (.f64 x -6) (*.f64 x -8))))
0.0ms	x	@	-inf	(sqrt.f64 (.f64 x (-.f64 (.f64 x -6) (*.f64 x -8))))
0.0ms	x	@	inf	(sqrt.f64 (.f64 x (-.f64 (.f64 x -6) (*.f64 x -8))))
0.0ms	x	@	-inf	(-.f64 (.f64 x -6) (.f64 x -8))
0.0ms	x	@	inf	(-.f64 (.f64 x -6) (.f64 x -8))

rewrite48.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

944×	`rational.json-simplify-2`
846×	`rational.json-simplify-42`
784×	`rational.json-simplify-24`
708×	`rational.json-simplify-21`
632×	`rational.json-simplify-23`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	48
1	69	24
2	247	24
3	1344	24

Stop Event

1×	node limit

Counts

2 → 113

Calls

Call 1

Inputs
(sqrt.f64 (.f64 x (-.f64 (.f64 x -6) (*.f64 x -8))))
(-.f64 (.f64 x -6) (.f64 x -8))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 x x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x -6) (*.f64 x 8))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x -6) (*.f64 (*.f64 x 4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x -8) (+.f64 (*.f64 x 4) (*.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x x) (-.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x x) (+.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x -2) (*.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x -12) (*.f64 x 14))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x -12) (*.f64 1/2 (-.f64 (+.f64 x x) (*.f64 x -26))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x -14) (+.f64 (*.f64 x 4) (*.f64 x 12)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 6) (*.f64 x -4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 6) (+.f64 (*.f64 x 4) (*.f64 x -8)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 6) (*.f64 -1 (*.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 8) (*.f64 x -6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x x) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 4) (*.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x -24) (neg.f64 (*.f64 x -26)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x -24) (+.f64 0 (neg.f64 (*.f64 x -26))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x -24) (*.f64 1 (neg.f64 (*.f64 x -26))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 14) (*.f64 x -12))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 x -26)) (*.f64 x -24))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x -6) 1/2) (*.f64 1/2 (*.f64 x 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (/.f64 -30 (/.f64 1 x)) (*.f64 (*.f64 x -16) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (*.f64 x -26) (*.f64 x -28)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 (-.f64 (*.f64 x -6) (*.f64 x 4)) (*.f64 x -8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 (neg.f64 (*.f64 x 4)) (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 (-.f64 (*.f64 x -12) (*.f64 x 16)) (*.f64 x -26)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 (+.f64 (*.f64 x -24) (*.f64 x -26)) (+.f64 (*.f64 x -24) (*.f64 x -24))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 (-.f64 x x) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 (*.f64 x 6) (*.f64 (*.f64 x 4) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (-.f64 (*.f64 x 3) (*.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (-.f64 (-.f64 x x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 -2 (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (-.f64 (*.f64 x -12) (*.f64 x -16)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -4) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (neg.f64 (*.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (*.f64 x -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (-.f64 (*.f64 x -2) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (-.f64 (*.f64 x -26) (+.f64 (*.f64 x -12) (*.f64 x -10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (-.f64 (+.f64 x x) (*.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (-.f64 (*.f64 x -8) (*.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (-.f64 (*.f64 x -14) (*.f64 x -10)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 1/4 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (-.f64 (*.f64 x -6) (*.f64 x 4)) (*.f64 x -8)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (neg.f64 (*.f64 x 4)) (*.f64 x -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (-.f64 (*.f64 x -12) (*.f64 x 16)) (*.f64 x -26)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 x (*.f64 x 3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 (*.f64 x -24) (*.f64 x -26)) (+.f64 (*.f64 x -24) (*.f64 x -24))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 -30 (/.f64 1 x)) (*.f64 (*.f64 x -16) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x -26) (*.f64 x -28)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (-.f64 x x) (+.f64 x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x 6) (*.f64 (*.f64 x 4) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 x -2))))))

simplify62.0ms (1%)

Algorithm

1×	egg-herbie

Rules

812×	`rational.json-simplify-44`
756×	`rational.json-simplify-35`
744×	`rational.json-simplify-14`
744×	`rational.json-simplify-13`
630×	`rational.json-simplify-63`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	236	1421
1	745	1413
2	2925	1413

Stop Event

1×	node limit

Counts

137 → 119

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
(+.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 0)
(+.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 0))
(+.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (+.f64 0 (.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 0)))
(+.f64 0 (sqrt.f64 (*.f64 x (+.f64 x x))))
(+.f64 (neg.f64 (sqrt.f64 (.f64 x (+.f64 x x)))) (.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 2))
(+.f64 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 2) (neg.f64 (sqrt.f64 (*.f64 x (+.f64 x x)))))
(+.f64 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 0) (sqrt.f64 (*.f64 x (+.f64 x x))))
(+.f64 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 1/2) (.f64 1/2 (sqrt.f64 (.f64 x (+.f64 x x)))))
(-.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 0)
(-.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 0))
(-.f64 0 (neg.f64 (sqrt.f64 (*.f64 x (+.f64 x x)))))
(-.f64 0 (.f64 -1 (sqrt.f64 (.f64 x (+.f64 x x)))))
(-.f64 (neg.f64 (sqrt.f64 (.f64 x (+.f64 x x)))) (/.f64 (.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 2) -1))
(-.f64 (neg.f64 (sqrt.f64 (.f64 x (+.f64 x x)))) (.f64 -1 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 2)))
(-.f64 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 2) (sqrt.f64 (*.f64 x (+.f64 x x))))
(-.f64 (.f64 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 2) 2) (.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 3))
(-.f64 (.f64 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 3) 1/2) (.f64 1/2 (sqrt.f64 (*.f64 x (+.f64 x x)))))
(.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 1)
(.f64 1 (sqrt.f64 (.f64 x (+.f64 x x))))
(.f64 -1 (neg.f64 (sqrt.f64 (.f64 x (+.f64 x x)))))
(.f64 -1 (-.f64 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 0) (sqrt.f64 (.f64 x (+.f64 x x)))))
(.f64 -1 (-.f64 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 3) (.f64 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 2) 2)))
(.f64 (neg.f64 (sqrt.f64 (.f64 x (+.f64 x x)))) -1)
(.f64 (.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 2) 1/2)
(.f64 1/2 (.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 2))
(.f64 (+.f64 (neg.f64 (sqrt.f64 (.f64 x (+.f64 x x)))) (neg.f64 (sqrt.f64 (*.f64 x (+.f64 x x))))) -1/2)
(.f64 -1/2 (+.f64 (neg.f64 (sqrt.f64 (.f64 x (+.f64 x x)))) (neg.f64 (sqrt.f64 (*.f64 x (+.f64 x x))))))
(.f64 -1/2 (-.f64 0 (.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 2)))
(.f64 -1/2 (-.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 3)))
(/.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 1)
(/.f64 1 (/.f64 1 (sqrt.f64 (*.f64 x (+.f64 x x)))))
(/.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 (*.f64 x (+.f64 x x))))))
(/.f64 (neg.f64 (sqrt.f64 (*.f64 x (+.f64 x x)))) -1)
(/.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 2)))
(/.f64 1/2 (/.f64 -1 (+.f64 (neg.f64 (sqrt.f64 (.f64 x (+.f64 x x)))) (neg.f64 (sqrt.f64 (.f64 x (+.f64 x x)))))))
(/.f64 (-.f64 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 0) (sqrt.f64 (*.f64 x (+.f64 x x)))) -1)
(/.f64 (-.f64 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 3) (.f64 (.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 2) 2)) -1)
(/.f64 (-.f64 (+.f64 (neg.f64 (sqrt.f64 (.f64 x (+.f64 x x)))) (neg.f64 (sqrt.f64 (.f64 x (+.f64 x x))))) (neg.f64 (sqrt.f64 (*.f64 x (+.f64 x x))))) -1)
(neg.f64 (neg.f64 (sqrt.f64 (*.f64 x (+.f64 x x)))))
(+.f64 x x)
(+.f64 (.f64 x -6) (.f64 x 8))
(+.f64 (.f64 x -6) (.f64 (*.f64 x 4) 2))
(+.f64 (.f64 x -8) (+.f64 (.f64 x 4) (*.f64 x 6)))
(+.f64 (+.f64 x x) 0)
(+.f64 (+.f64 x x) (-.f64 x x))
(+.f64 (+.f64 x x) (+.f64 x (neg.f64 x)))
(+.f64 0 (+.f64 x x))
(+.f64 (.f64 x -2) (.f64 x 4))
(+.f64 (.f64 x -12) (.f64 x 14))
(+.f64 (.f64 x -12) (.f64 1/2 (-.f64 (+.f64 x x) (*.f64 x -26))))
(+.f64 (.f64 x -14) (+.f64 (.f64 x 4) (*.f64 x 12)))
(+.f64 (.f64 x 6) (.f64 x -4))
(+.f64 (.f64 x 6) (+.f64 (.f64 x 4) (*.f64 x -8)))
(+.f64 (.f64 x 6) (.f64 -1 (*.f64 x 4)))
(+.f64 (.f64 x 8) (.f64 x -6))
(+.f64 (-.f64 x x) (+.f64 x x))
(+.f64 (.f64 x 4) (.f64 x -2))
(+.f64 (.f64 x -24) (neg.f64 (.f64 x -26)))
(+.f64 (.f64 x -24) (+.f64 0 (neg.f64 (.f64 x -26))))
(+.f64 (.f64 x -24) (.f64 1 (neg.f64 (*.f64 x -26))))
(+.f64 (.f64 x 14) (.f64 x -12))
(+.f64 (neg.f64 (.f64 x -26)) (.f64 x -24))
(+.f64 (.f64 (.f64 x -6) 1/2) (.f64 1/2 (.f64 x 10)))
(*.f64 x 2)
(*.f64 (+.f64 x x) 1)
(*.f64 1 (+.f64 x x))
(.f64 1 (-.f64 (/.f64 -30 (/.f64 1 x)) (.f64 (*.f64 x -16) 2)))
(.f64 1 (-.f64 (.f64 x -26) (*.f64 x -28)))
(*.f64 (neg.f64 x) -2)
(.f64 (.f64 x -2) -1)
(.f64 -1 (.f64 x -2))
(.f64 -1 (-.f64 (-.f64 (.f64 x -6) (.f64 x 4)) (.f64 x -8)))
(.f64 -1 (-.f64 (neg.f64 (.f64 x 4)) (*.f64 x -2)))
(.f64 -1 (-.f64 (-.f64 (.f64 x -12) (.f64 x 16)) (.f64 x -26)))
(.f64 -1 (-.f64 x (.f64 x 3)))
(.f64 -1 (-.f64 (+.f64 (.f64 x -24) (.f64 x -26)) (+.f64 (.f64 x -24) (*.f64 x -24))))
(*.f64 -1 (-.f64 (-.f64 x x) (+.f64 x x)))
(.f64 -1 (-.f64 (.f64 x 6) (.f64 (.f64 x 4) 2)))
(*.f64 -2 (neg.f64 x))
(.f64 -2 (-.f64 (.f64 x 3) (*.f64 x 4)))
(*.f64 -2 (-.f64 (-.f64 x x) x))
(*.f64 2 x)
(.f64 (.f64 x 4) 1/2)
(.f64 1/2 (.f64 x 4))
(.f64 1/2 (.f64 -2 (*.f64 x -2)))
(.f64 1/2 (-.f64 (.f64 x -12) (*.f64 x -16)))
(.f64 (.f64 x -4) -1/2)
(.f64 -1/2 (neg.f64 (.f64 x 4)))
(.f64 -1/2 (.f64 x -4))
(.f64 -1/2 (-.f64 (.f64 x -2) (+.f64 x x)))
(.f64 -1/2 (-.f64 (.f64 x -26) (+.f64 (.f64 x -12) (.f64 x -10))))
(.f64 -1/2 (-.f64 (+.f64 x x) (.f64 x 6)))
(.f64 -1/2 (-.f64 (.f64 x -8) (*.f64 x -4)))
(.f64 -1/2 (-.f64 (.f64 x -14) (*.f64 x -10)))
(/.f64 x 1/2)
(/.f64 (+.f64 x x) 1)
(/.f64 1 (/.f64 1/2 x))
(/.f64 (neg.f64 x) -1/2)
(/.f64 (*.f64 x -2) -1)
(/.f64 -1 (/.f64 -1/2 x))
(/.f64 -2 (/.f64 -1 x))
(/.f64 2 (/.f64 1 x))
(/.f64 1/2 (/.f64 1/4 x))
(/.f64 (-.f64 (-.f64 (.f64 x -6) (.f64 x 4)) (*.f64 x -8)) -1)
(/.f64 (-.f64 (neg.f64 (.f64 x 4)) (.f64 x -2)) -1)
(/.f64 (-.f64 (-.f64 (.f64 x -12) (.f64 x 16)) (*.f64 x -26)) -1)
(/.f64 (-.f64 x (*.f64 x 3)) -1)
(/.f64 (-.f64 (+.f64 (.f64 x -24) (.f64 x -26)) (+.f64 (.f64 x -24) (.f64 x -24))) -1)
(/.f64 (-.f64 (/.f64 -30 (/.f64 1 x)) (.f64 (.f64 x -16) 2)) 1)
(/.f64 (-.f64 (.f64 x -26) (.f64 x -28)) 1)
(/.f64 (-.f64 (-.f64 x x) (+.f64 x x)) -1)
(/.f64 (-.f64 (.f64 x 6) (.f64 (*.f64 x 4) 2)) -1)
(neg.f64 (*.f64 x -2))

Outputs
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 (sqrt.f64 2) (.f64 -1 x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 (sqrt.f64 2) (.f64 -1 x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 (sqrt.f64 2) (.f64 -1 x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 (sqrt.f64 2) (.f64 -1 x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 2 x)
(+.f64 x x)
(*.f64 2 x)
(+.f64 x x)
(*.f64 2 x)
(+.f64 x x)
(*.f64 2 x)
(+.f64 x x)
(*.f64 2 x)
(+.f64 x x)
(*.f64 2 x)
(+.f64 x x)
(*.f64 2 x)
(+.f64 x x)
(*.f64 2 x)
(+.f64 x x)
(*.f64 2 x)
(+.f64 x x)
(*.f64 2 x)
(+.f64 x x)
(*.f64 2 x)
(+.f64 x x)
(*.f64 2 x)
(+.f64 x x)
(+.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 0)
(sqrt.f64 (*.f64 x (+.f64 x x)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(+.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 0))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(+.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (+.f64 0 (.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 0)))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(+.f64 0 (sqrt.f64 (*.f64 x (+.f64 x x))))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(+.f64 (neg.f64 (sqrt.f64 (.f64 x (+.f64 x x)))) (.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 2))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(+.f64 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 2) (neg.f64 (sqrt.f64 (*.f64 x (+.f64 x x)))))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(+.f64 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 0) (sqrt.f64 (*.f64 x (+.f64 x x))))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(+.f64 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 1/2) (.f64 1/2 (sqrt.f64 (.f64 x (+.f64 x x)))))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(-.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 0)
(sqrt.f64 (*.f64 x (+.f64 x x)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(-.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 0))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(-.f64 0 (neg.f64 (sqrt.f64 (*.f64 x (+.f64 x x)))))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(-.f64 0 (.f64 -1 (sqrt.f64 (.f64 x (+.f64 x x)))))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(-.f64 (neg.f64 (sqrt.f64 (.f64 x (+.f64 x x)))) (/.f64 (.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 2) -1))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(-.f64 (neg.f64 (sqrt.f64 (.f64 x (+.f64 x x)))) (.f64 -1 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 2)))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(-.f64 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 2) (sqrt.f64 (*.f64 x (+.f64 x x))))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(-.f64 (.f64 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 2) 2) (.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 3))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(-.f64 (.f64 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 3) 1/2) (.f64 1/2 (sqrt.f64 (*.f64 x (+.f64 x x)))))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 1)
(sqrt.f64 (*.f64 x (+.f64 x x)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(.f64 1 (sqrt.f64 (.f64 x (+.f64 x x))))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(.f64 -1 (neg.f64 (sqrt.f64 (.f64 x (+.f64 x x)))))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(.f64 -1 (-.f64 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 0) (sqrt.f64 (.f64 x (+.f64 x x)))))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(.f64 -1 (-.f64 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 3) (.f64 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 2) 2)))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(.f64 (neg.f64 (sqrt.f64 (.f64 x (+.f64 x x)))) -1)
(sqrt.f64 (*.f64 x (+.f64 x x)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(.f64 (.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 2) 1/2)
(sqrt.f64 (*.f64 x (+.f64 x x)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(.f64 1/2 (.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 2))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(.f64 (+.f64 (neg.f64 (sqrt.f64 (.f64 x (+.f64 x x)))) (neg.f64 (sqrt.f64 (*.f64 x (+.f64 x x))))) -1/2)
(sqrt.f64 (*.f64 x (+.f64 x x)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(.f64 -1/2 (+.f64 (neg.f64 (sqrt.f64 (.f64 x (+.f64 x x)))) (neg.f64 (sqrt.f64 (*.f64 x (+.f64 x x))))))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(.f64 -1/2 (-.f64 0 (.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 2)))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(.f64 -1/2 (-.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 3)))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(/.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 1)
(sqrt.f64 (*.f64 x (+.f64 x x)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(/.f64 1 (/.f64 1 (sqrt.f64 (*.f64 x (+.f64 x x)))))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(/.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 (*.f64 x (+.f64 x x))))))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(/.f64 (neg.f64 (sqrt.f64 (*.f64 x (+.f64 x x)))) -1)
(sqrt.f64 (*.f64 x (+.f64 x x)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(/.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 2)))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(/.f64 1/2 (/.f64 -1 (+.f64 (neg.f64 (sqrt.f64 (.f64 x (+.f64 x x)))) (neg.f64 (sqrt.f64 (.f64 x (+.f64 x x)))))))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(/.f64 (-.f64 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 0) (sqrt.f64 (*.f64 x (+.f64 x x)))) -1)
(sqrt.f64 (*.f64 x (+.f64 x x)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(/.f64 (-.f64 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 3) (.f64 (.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 2) 2)) -1)
(sqrt.f64 (*.f64 x (+.f64 x x)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(/.f64 (-.f64 (+.f64 (neg.f64 (sqrt.f64 (.f64 x (+.f64 x x)))) (neg.f64 (sqrt.f64 (.f64 x (+.f64 x x))))) (neg.f64 (sqrt.f64 (*.f64 x (+.f64 x x))))) -1)
(sqrt.f64 (*.f64 x (+.f64 x x)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(neg.f64 (neg.f64 (sqrt.f64 (*.f64 x (+.f64 x x)))))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(+.f64 x x)
(+.f64 (.f64 x -6) (.f64 x 8))
(+.f64 x x)
(+.f64 (.f64 x -6) (.f64 (*.f64 x 4) 2))
(+.f64 x x)
(+.f64 (.f64 x -8) (+.f64 (.f64 x 4) (*.f64 x 6)))
(+.f64 x x)
(+.f64 (+.f64 x x) 0)
(+.f64 x x)
(+.f64 (+.f64 x x) (-.f64 x x))
(+.f64 x x)
(+.f64 (+.f64 x x) (+.f64 x (neg.f64 x)))
(+.f64 x x)
(+.f64 0 (+.f64 x x))
(+.f64 x x)
(+.f64 (.f64 x -2) (.f64 x 4))
(+.f64 x x)
(+.f64 (.f64 x -12) (.f64 x 14))
(+.f64 x x)
(+.f64 (.f64 x -12) (.f64 1/2 (-.f64 (+.f64 x x) (*.f64 x -26))))
(+.f64 x x)
(+.f64 (.f64 x -14) (+.f64 (.f64 x 4) (*.f64 x 12)))
(+.f64 x x)
(+.f64 (.f64 x 6) (.f64 x -4))
(+.f64 x x)
(+.f64 (.f64 x 6) (+.f64 (.f64 x 4) (*.f64 x -8)))
(+.f64 x x)
(+.f64 (.f64 x 6) (.f64 -1 (*.f64 x 4)))
(+.f64 x x)
(+.f64 (.f64 x 8) (.f64 x -6))
(+.f64 x x)
(+.f64 (-.f64 x x) (+.f64 x x))
(+.f64 x x)
(+.f64 (.f64 x 4) (.f64 x -2))
(+.f64 x x)
(+.f64 (.f64 x -24) (neg.f64 (.f64 x -26)))
(+.f64 x x)
(+.f64 (.f64 x -24) (+.f64 0 (neg.f64 (.f64 x -26))))
(+.f64 x x)
(+.f64 (.f64 x -24) (.f64 1 (neg.f64 (*.f64 x -26))))
(+.f64 x x)
(+.f64 (.f64 x 14) (.f64 x -12))
(+.f64 x x)
(+.f64 (neg.f64 (.f64 x -26)) (.f64 x -24))
(+.f64 x x)
(+.f64 (.f64 (.f64 x -6) 1/2) (.f64 1/2 (.f64 x 10)))
(+.f64 x x)
(*.f64 x 2)
(+.f64 x x)
(*.f64 (+.f64 x x) 1)
(+.f64 x x)
(*.f64 1 (+.f64 x x))
(+.f64 x x)
(.f64 1 (-.f64 (/.f64 -30 (/.f64 1 x)) (.f64 (*.f64 x -16) 2)))
(+.f64 x x)
(.f64 1 (-.f64 (.f64 x -26) (*.f64 x -28)))
(+.f64 x x)
(*.f64 (neg.f64 x) -2)
(+.f64 x x)
(.f64 (.f64 x -2) -1)
(+.f64 x x)
(.f64 -1 (.f64 x -2))
(+.f64 x x)
(.f64 -1 (-.f64 (-.f64 (.f64 x -6) (.f64 x 4)) (.f64 x -8)))
(+.f64 x x)
(.f64 -1 (-.f64 (neg.f64 (.f64 x 4)) (*.f64 x -2)))
(+.f64 x x)
(.f64 -1 (-.f64 (-.f64 (.f64 x -12) (.f64 x 16)) (.f64 x -26)))
(+.f64 x x)
(.f64 -1 (-.f64 x (.f64 x 3)))
(+.f64 x x)
(.f64 -1 (-.f64 (+.f64 (.f64 x -24) (.f64 x -26)) (+.f64 (.f64 x -24) (*.f64 x -24))))
(+.f64 x x)
(*.f64 -1 (-.f64 (-.f64 x x) (+.f64 x x)))
(+.f64 x x)
(.f64 -1 (-.f64 (.f64 x 6) (.f64 (.f64 x 4) 2)))
(+.f64 x x)
(*.f64 -2 (neg.f64 x))
(+.f64 x x)
(.f64 -2 (-.f64 (.f64 x 3) (*.f64 x 4)))
(+.f64 x x)
(*.f64 -2 (-.f64 (-.f64 x x) x))
(+.f64 x x)
(*.f64 2 x)
(+.f64 x x)
(.f64 (.f64 x 4) 1/2)
(+.f64 x x)
(.f64 1/2 (.f64 x 4))
(+.f64 x x)
(.f64 1/2 (.f64 -2 (*.f64 x -2)))
(+.f64 x x)
(.f64 1/2 (-.f64 (.f64 x -12) (*.f64 x -16)))
(+.f64 x x)
(.f64 (.f64 x -4) -1/2)
(+.f64 x x)
(.f64 -1/2 (neg.f64 (.f64 x 4)))
(+.f64 x x)
(.f64 -1/2 (.f64 x -4))
(+.f64 x x)
(.f64 -1/2 (-.f64 (.f64 x -2) (+.f64 x x)))
(+.f64 x x)
(.f64 -1/2 (-.f64 (.f64 x -26) (+.f64 (.f64 x -12) (.f64 x -10))))
(+.f64 x x)
(.f64 -1/2 (-.f64 (+.f64 x x) (.f64 x 6)))
(+.f64 x x)
(.f64 -1/2 (-.f64 (.f64 x -8) (*.f64 x -4)))
(+.f64 x x)
(.f64 -1/2 (-.f64 (.f64 x -14) (*.f64 x -10)))
(+.f64 x x)
(/.f64 x 1/2)
(+.f64 x x)
(/.f64 (+.f64 x x) 1)
(+.f64 x x)
(/.f64 1 (/.f64 1/2 x))
(+.f64 x x)
(/.f64 (neg.f64 x) -1/2)
(+.f64 x x)
(/.f64 (*.f64 x -2) -1)
(+.f64 x x)
(/.f64 -1 (/.f64 -1/2 x))
(+.f64 x x)
(/.f64 -2 (/.f64 -1 x))
(+.f64 x x)
(/.f64 2 (/.f64 1 x))
(+.f64 x x)
(/.f64 1/2 (/.f64 1/4 x))
(+.f64 x x)
(/.f64 (-.f64 (-.f64 (.f64 x -6) (.f64 x 4)) (*.f64 x -8)) -1)
(+.f64 x x)
(/.f64 (-.f64 (neg.f64 (.f64 x 4)) (.f64 x -2)) -1)
(+.f64 x x)
(/.f64 (-.f64 (-.f64 (.f64 x -12) (.f64 x 16)) (*.f64 x -26)) -1)
(+.f64 x x)
(/.f64 (-.f64 x (*.f64 x 3)) -1)
(+.f64 x x)
(/.f64 (-.f64 (+.f64 (.f64 x -24) (.f64 x -26)) (+.f64 (.f64 x -24) (.f64 x -24))) -1)
(+.f64 x x)
(/.f64 (-.f64 (/.f64 -30 (/.f64 1 x)) (.f64 (.f64 x -16) 2)) 1)
(+.f64 x x)
(/.f64 (-.f64 (.f64 x -26) (.f64 x -28)) 1)
(+.f64 x x)
(/.f64 (-.f64 (-.f64 x x) (+.f64 x x)) -1)
(+.f64 x x)
(/.f64 (-.f64 (.f64 x 6) (.f64 (*.f64 x 4) 2)) -1)
(+.f64 x x)
(neg.f64 (*.f64 x -2))
(+.f64 x x)

eval151.0ms (2.5%)

Compiler: Compiled 8778 to 5923 computations (32.5% saved)

prune114.0ms (1.9%)

Pruning

22 alts after pruning (18 fresh and 4 done)

	Pruned	Kept	Total
New	620	17	637
Fresh	0	1	1
Picked	1	0	1
Done	1	4	5
Total	622	22	644

Error

0.0b

Counts

644 → 22

Alt Table

Click to see full alt table

Status	Error	Program
	30.5b	(/.f64 (-.f64 (+.f64 x (.f64 x 3)) (.f64 x 3)) (/.f64 1 (sqrt.f64 2)))
	32.9b	(/.f64 (-.f64 (.f64 x 3) (-.f64 x (.f64 x -3))) (/.f64 1 (sqrt.f64 2)))
	32.8b	(/.f64 (-.f64 (neg.f64 (.f64 (sqrt.f64 2) 3)) (neg.f64 (.f64 2 (*.f64 2 (sqrt.f64 2))))) (/.f64 -1 x))
	30.2b	(/.f64 (sqrt.f64 2) (/.f64 1 x))
▶	32.7b	(/.f64 (sqrt.f64 2) (/.f64 -1 x))
	30.2b	(/.f64 x (/.f64 1 (-.f64 (.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 2) 3))))
▶	30.2b	(/.f64 1 (/.f64 (/.f64 1 x) (sqrt.f64 2)))
	30.3b	(/.f64 1/2 (/.f64 (/.f64 1/2 (sqrt.f64 2)) x))
	32.7b	(/.f64 1/2 (/.f64 (/.f64 -1/2 x) (sqrt.f64 2)))
	32.7b	(-.f64 (.f64 (sqrt.f64 2) (.f64 x -3/2)) (*.f64 (sqrt.f64 2) (/.f64 x -2)))
	33.0b	(+.f64 (.f64 (sqrt.f64 2) (.f64 x -4)) (neg.f64 (.f64 (sqrt.f64 2) (.f64 x -3))))
	32.7b	(+.f64 x (-.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) x))
	30.4b	(.f64 (sqrt.f64 2) (-.f64 (+.f64 x (.f64 x 3)) (*.f64 x 3)))
▶	30.4b	(.f64 (sqrt.f64 2) (-.f64 (.f64 x 3) (*.f64 2 x)))
	32.8b	(.f64 (sqrt.f64 2) (-.f64 (.f64 x -3) (*.f64 x -2)))
	32.9b	(.f64 (sqrt.f64 2) (-.f64 (.f64 x -4) (*.f64 x -3)))
✓	32.7b	(*.f64 (sqrt.f64 2) (neg.f64 x))
✓	30.2b	(*.f64 (sqrt.f64 2) x)
▶	30.3b	(.f64 x (-.f64 (.f64 (sqrt.f64 2) 4) (neg.f64 (*.f64 (sqrt.f64 2) -3))))
✓	28.7b	(sqrt.f64 (/.f64 x (/.f64 1/2 x)))
▶	28.9b	(sqrt.f64 (+.f64 (.f64 x (.f64 x 8)) (.f64 (.f64 x x) -6)))
✓	28.7b	(sqrt.f64 (.f64 2 (.f64 x x)))

Compiler

Compiled 453 to 379 computations (16.3% saved)

localize14.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 x x) -6)
✓	11.9b	(+.f64 (.f64 x (.f64 x 8)) (.f64 (.f64 x x) -6))
✓	27.8b	(sqrt.f64 (+.f64 (.f64 x (.f64 x 8)) (.f64 (.f64 x x) -6)))

Compiler

Compiled 43 to 24 computations (44.2% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(sqrt.f64 (+.f64 (.f64 x (.f64 x 8)) (.f64 (.f64 x x) -6)))
0.0ms	x	@	inf	(+.f64 (.f64 x (.f64 x 8)) (.f64 (.f64 x x) -6))
0.0ms	x	@	inf	(.f64 (.f64 x x) -6)
0.0ms	x	@	inf	(sqrt.f64 (+.f64 (.f64 x (.f64 x 8)) (.f64 (.f64 x x) -6)))
0.0ms	x	@	-inf	(sqrt.f64 (+.f64 (.f64 x (.f64 x 8)) (.f64 (.f64 x x) -6)))

rewrite62.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

906×	`rational.json-simplify-6`
774×	`rational.json-simplify-4`
770×	`rational.json-simplify-3`
752×	`rational.json-simplify-5`
626×	`rational.json-simplify-12`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	79
1	67	79
2	186	43
3	935	43

Stop Event

1×	node limit

Counts

3 → 213

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 (.f64 x (.f64 x 8)) (.f64 (.f64 x x) -6)))
(+.f64 (.f64 x (.f64 x 8)) (.f64 (.f64 x x) -6))
(.f64 (.f64 x x) -6)

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (*.f64 x 8)) (*.f64 x (*.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (*.f64 x 8)) (-.f64 (*.f64 (*.f64 x (+.f64 x x)) 5) (/.f64 2 (/.f64 1/2 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (*.f64 x 8)) (-.f64 (*.f64 x (*.f64 x 16)) (*.f64 (*.f64 x (+.f64 x x)) 5)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x x) (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (*.f64 x -6)) (*.f64 (*.f64 x x) -8))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (*.f64 x -6)) (-.f64 (*.f64 (*.f64 x x) -4) (/.f64 2 (/.f64 1/2 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (*.f64 x -6)) (-.f64 (*.f64 (*.f64 x x) -12) (*.f64 (*.f64 x x) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (+.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (+.f64 x x)) (-.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (+.f64 x x)) (*.f64 x (-.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (+.f64 x x)) (+.f64 (*.f64 x (-.f64 x x)) (-.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (+.f64 x x)) (+.f64 (*.f64 x (-.f64 x x)) (*.f64 x (-.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (+.f64 x x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 -1 (*.f64 x (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (+.f64 x x) (neg.f64 x)) (-.f64 0 (/.f64 2 (/.f64 1/2 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (+.f64 x x) (neg.f64 x)) (/.f64 (/.f64 2 (/.f64 1/2 (*.f64 x x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (+.f64 x x) (neg.f64 x)) (*.f64 -1 (/.f64 2 (/.f64 1/2 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (neg.f64 x)) (-.f64 0 (*.f64 x (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (neg.f64 x)) (-.f64 (-.f64 x x) (*.f64 x (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (*.f64 x 6)) (/.f64 2 (/.f64 1/2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 x x) -8) (-.f64 0 (*.f64 (*.f64 x (+.f64 x x)) 5)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 x x) -8) (-.f64 (-.f64 x x) (*.f64 (*.f64 x (+.f64 x x)) 5)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 x x) (*.f64 (+.f64 x x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 2 (/.f64 1/2 (*.f64 x x))) (*.f64 x (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 x x) -4) (*.f64 x (*.f64 x -6)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 x (+.f64 x x)) 5) (*.f64 x (*.f64 x 8)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (-.f64 x x)) (*.f64 (+.f64 x x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 x x) -18) (-.f64 (*.f64 (*.f64 (*.f64 x x) -12) 2) (*.f64 (*.f64 x x) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (*.f64 x 24)) (-.f64 (*.f64 (*.f64 x (*.f64 x 16)) 2) (*.f64 (*.f64 x (+.f64 x x)) 5)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (*.f64 x 3)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 2 (/.f64 1/2 (*.f64 x x))) 2) (*.f64 x (*.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (*.f64 (/.f64 2 (/.f64 1/2 (*.f64 x x))) 2) (-.f64 x x)) (*.f64 x (*.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (*.f64 (/.f64 2 (/.f64 1/2 (*.f64 x x))) 2) (*.f64 x (-.f64 x x))) (*.f64 x (*.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 x (*.f64 x 8)) (*.f64 (*.f64 (*.f64 x x) -12) 2)) (*.f64 (*.f64 x x) -18))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 x x) (/.f64 2 (/.f64 1/2 (*.f64 x x)))) (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 x (*.f64 x -6)) (*.f64 (*.f64 x (*.f64 x 16)) 2)) (*.f64 x (*.f64 x 24)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (+.f64 x x) (+.f64 x x)) (*.f64 x (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 0 (+.f64 x x)) (*.f64 (+.f64 x x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (+.f64 x (*.f64 x 3)) (+.f64 x x)) (*.f64 (+.f64 x x) (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 x 3) x) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 x (*.f64 x 6)) 1/2) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (*.f64 x x) -4) (*.f64 (*.f64 x x) -4)) (+.f64 (*.f64 (*.f64 x x) -4) (*.f64 x (*.f64 x -6))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (*.f64 x (+.f64 x x)) 5) (*.f64 (*.f64 x (+.f64 x x)) 5)) (+.f64 (*.f64 (*.f64 x (+.f64 x x)) 5) (*.f64 x (*.f64 x 8))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (/.f64 2 (/.f64 1/2 (*.f64 x x))) 2) (*.f64 (/.f64 2 (/.f64 1/2 (*.f64 x x))) 2)) (+.f64 (*.f64 (/.f64 2 (/.f64 1/2 (*.f64 x x))) 2) (*.f64 x (*.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (+.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (+.f64 x x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x x) (neg.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (neg.f64 x)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (-.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (-.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (-.f64 0 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (+.f64 (*.f64 x -8) (*.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (/.f64 1/2 (*.f64 x x))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 2 (/.f64 1/2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 x x) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 x (*.f64 x 16)) (*.f64 (*.f64 x x) -12)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 (*.f64 x x) -12) (*.f64 x (*.f64 x 16))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (fabs.f64 (/.f64 2 (/.f64 1/2 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fabs.f64 x) 2) (fabs.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (neg.f64 x) x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (+.f64 x x) (neg.f64 x)) (*.f64 x (+.f64 x x))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (*.f64 x 3)) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (*.f64 (*.f64 x x) -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (-.f64 (*.f64 (+.f64 x x) (neg.f64 x)) (*.f64 x (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (-.f64 0 (/.f64 2 (/.f64 1/2 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 x x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (/.f64 2 (/.f64 1/2 (*.f64 x x)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (-.f64 (*.f64 (+.f64 x x) (neg.f64 x)) (*.f64 x (+.f64 x x)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1/2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (fabs.f64 (/.f64 1/2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 1 (*.f64 (+.f64 x x) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x x) (neg.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (/.f64 -1 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 (/.f64 1/2 x) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 1 (/.f64 2 (/.f64 1/2 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 -1 (-.f64 (*.f64 (+.f64 x x) (neg.f64 x)) (*.f64 x (+.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (/.f64 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fabs.f64 x) 2) (/.f64 1 (fabs.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (neg.f64 x) x) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 x (*.f64 x 3)) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (+.f64 x x)) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) (+.f64 x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 x x) 2) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 x x)) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (neg.f64 x) x) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (+.f64 x x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 x (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (+.f64 x x) (neg.f64 x)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x -6)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x -6)) (-.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x -6)) (*.f64 x (-.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x -6)) (/.f64 (-.f64 x x) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x -6)) (*.f64 (*.f64 x -6) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (*.f64 x -6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x 6)) (*.f64 (*.f64 x x) -12))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x x) (*.f64 x (*.f64 x -6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x x) -12) (*.f64 x (*.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (-.f64 x x)) (*.f64 x (*.f64 x -6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 x x) -12) 2) (-.f64 0 (*.f64 (*.f64 x x) -18)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 x x) -1/6) (*.f64 x (*.f64 x -6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (*.f64 x -6)) 1/2) (*.f64 1/2 (*.f64 x (*.f64 x -6))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 x x) (*.f64 x -6)) (*.f64 x (*.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (*.f64 x -6)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (*.f64 x -6)) (-.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (*.f64 x -6)) (*.f64 x (-.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (*.f64 x -6)) (/.f64 (-.f64 x x) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (*.f64 x -6)) (*.f64 (*.f64 x -6) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (*.f64 x -6)) (+.f64 (*.f64 x (-.f64 x x)) (-.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (*.f64 x -6)) (+.f64 (*.f64 x (-.f64 x x)) (*.f64 x (-.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 x (*.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (*.f64 x 6)) (-.f64 0 (*.f64 (*.f64 x x) -12)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (*.f64 x 6)) (/.f64 (*.f64 (*.f64 x x) -12) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (*.f64 x 6)) (*.f64 6 (*.f64 x (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (*.f64 x 6)) (*.f64 -1 (*.f64 (*.f64 x x) -12)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 x x) (*.f64 x (*.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 x x) -12) (*.f64 x (*.f64 x -6)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (-.f64 x x)) (*.f64 x (*.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 x x) -18) (*.f64 (*.f64 x x) -12))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 (*.f64 x x) -12) 2) (*.f64 (*.f64 x x) -18))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) -12) 2) (-.f64 x x)) (*.f64 (*.f64 x x) -18))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) -12) 2) (*.f64 x (-.f64 x x))) (*.f64 (*.f64 x x) -18))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 x x) -1/6) (*.f64 x (*.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 2 (/.f64 1/2 (*.f64 x x))) -1/6) (/.f64 (*.f64 x (*.f64 x 3)) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (-.f64 x x) 6) (*.f64 x (*.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (+.f64 x x) (*.f64 x -6)) (*.f64 x (*.f64 x -6)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 2 (/.f64 1/2 (*.f64 x x))) -6) (*.f64 (*.f64 x x) -18))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 -6 (+.f64 x x)) x) (*.f64 x (*.f64 x -6)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (+.f64 x (*.f64 x 3)) (*.f64 x -6)) (*.f64 (*.f64 x -6) (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 (*.f64 x x) -18) 1/2) (*.f64 1/2 (*.f64 x (*.f64 x -6))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (*.f64 (*.f64 x x) -12) 2) (*.f64 (*.f64 (*.f64 x x) -12) 2)) (+.f64 (*.f64 (*.f64 (*.f64 x x) -12) 2) (*.f64 (*.f64 x x) -18)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (/.f64 1 x) -6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 1 (*.f64 x -6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (*.f64 (/.f64 1 x) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 -1 (*.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x x) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -6 (/.f64 (/.f64 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 x -6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 -1/6 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 1 (*.f64 x (*.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (neg.f64 x)) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 x 6)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (/.f64 (/.f64 -1 x) -6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (/.f64 -1 (*.f64 x -6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (*.f64 (/.f64 -1 x) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -6) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 6 (-.f64 0 (/.f64 (/.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 6 (/.f64 1 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 (/.f64 1/2 (*.f64 x x)) -6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 (/.f64 1/2 x) (*.f64 x -6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 (/.f64 (/.f64 1 x) x) -12))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 1 (*.f64 (*.f64 x x) -12)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 -1 (+.f64 (*.f64 x (*.f64 x 6)) (*.f64 x (*.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fabs.f64 x) (/.f64 (/.f64 1 (fabs.f64 x)) -6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fabs.f64 x) (*.f64 (/.f64 1 (fabs.f64 x)) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -3 (/.f64 1/2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -6 (fabs.f64 x)) (/.f64 1 (fabs.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -12 (/.f64 (/.f64 (/.f64 1 x) x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 6) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 x) -1/6) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fabs.f64 x) -1/6) (/.f64 1 (fabs.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x -6) 2) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x -6)) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 x (*.f64 x 6)))))))

simplify92.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1536×	`rational.json-simplify-21`
1254×	`rational.json-simplify-1`
1244×	`rational.json-simplify-23`
558×	`rational.json-simplify-63`
468×	`rational.json-simplify-24`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	408	5179
1	1352	5023
2	5687	4629

Stop Event

1×	node limit

Counts

249 → 296

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 -6 (pow.f64 x 2))
(*.f64 -6 (pow.f64 x 2))
(*.f64 -6 (pow.f64 x 2))
(*.f64 -6 (pow.f64 x 2))
(*.f64 -6 (pow.f64 x 2))
(*.f64 -6 (pow.f64 x 2))
(*.f64 -6 (pow.f64 x 2))
(*.f64 -6 (pow.f64 x 2))
(*.f64 -6 (pow.f64 x 2))
(*.f64 -6 (pow.f64 x 2))
(*.f64 -6 (pow.f64 x 2))
(*.f64 -6 (pow.f64 x 2))
(+.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 0)
(+.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 0))
(+.f64 0 (sqrt.f64 (*.f64 x (+.f64 x x))))
(+.f64 (neg.f64 (sqrt.f64 (.f64 x (+.f64 x x)))) (.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 2))
(+.f64 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 2) (neg.f64 (sqrt.f64 (*.f64 x (+.f64 x x)))))
(+.f64 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 0) (sqrt.f64 (*.f64 x (+.f64 x x))))
(+.f64 (.f64 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 2) 2) (-.f64 0 (.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 3)))
(+.f64 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 1/2) (.f64 1/2 (sqrt.f64 (.f64 x (+.f64 x x)))))
(-.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 0)
(-.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 0))
(-.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (+.f64 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 0) (.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 0)))
(-.f64 0 (neg.f64 (sqrt.f64 (*.f64 x (+.f64 x x)))))
(-.f64 0 (.f64 -1 (sqrt.f64 (.f64 x (+.f64 x x)))))
(-.f64 (neg.f64 (sqrt.f64 (.f64 x (+.f64 x x)))) (-.f64 0 (.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 2)))
(-.f64 (neg.f64 (sqrt.f64 (.f64 x (+.f64 x x)))) (/.f64 (.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 2) -1))
(-.f64 (neg.f64 (sqrt.f64 (.f64 x (+.f64 x x)))) (.f64 -1 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 2)))
(-.f64 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 2) (sqrt.f64 (*.f64 x (+.f64 x x))))
(-.f64 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 0) (neg.f64 (sqrt.f64 (*.f64 x (+.f64 x x)))))
(-.f64 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 3) (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 2))
(-.f64 (.f64 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 2) 2) (.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 3))
(-.f64 (-.f64 (.f64 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 2) 2) (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 0)) (.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 3))
(-.f64 (.f64 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 3) 1/2) (.f64 1/2 (sqrt.f64 (*.f64 x (+.f64 x x)))))
(-.f64 (+.f64 (.f64 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 2) 2) (.f64 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 2) 2)) (+.f64 (.f64 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 2) 2) (.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 3)))
(.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 1)
(.f64 1 (sqrt.f64 (.f64 x (+.f64 x x))))
(.f64 -1 (neg.f64 (sqrt.f64 (.f64 x (+.f64 x x)))))
(.f64 (neg.f64 (sqrt.f64 (.f64 x (+.f64 x x)))) -1)
(.f64 (.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 2) 1/2)
(.f64 1/2 (.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 2))
(.f64 2 (/.f64 1/2 (/.f64 1 (sqrt.f64 (.f64 x (+.f64 x x))))))
(.f64 (-.f64 (neg.f64 (sqrt.f64 (.f64 x (+.f64 x x)))) (sqrt.f64 (*.f64 x (+.f64 x x)))) -1/2)
(.f64 -1/2 (-.f64 (neg.f64 (sqrt.f64 (.f64 x (+.f64 x x)))) (sqrt.f64 (*.f64 x (+.f64 x x)))))
(.f64 -1/2 (-.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 3)))
(.f64 -1/2 (-.f64 0 (.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 2)))
(/.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 1)
(/.f64 1 (/.f64 1 (sqrt.f64 (*.f64 x (+.f64 x x)))))
(/.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 (*.f64 x (+.f64 x x))))))
(/.f64 (neg.f64 (sqrt.f64 (*.f64 x (+.f64 x x)))) -1)
(/.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 2)))
(/.f64 1/2 (/.f64 -1 (-.f64 (neg.f64 (sqrt.f64 (.f64 x (+.f64 x x)))) (sqrt.f64 (.f64 x (+.f64 x x))))))
(neg.f64 (neg.f64 (sqrt.f64 (*.f64 x (+.f64 x x)))))
(-.f64 (.f64 x (.f64 x 8)) (.f64 x (.f64 x 6)))
(-.f64 (.f64 x (.f64 x 8)) (-.f64 (.f64 (.f64 x (+.f64 x x)) 5) (/.f64 2 (/.f64 1/2 (*.f64 x x)))))
(-.f64 (.f64 x (.f64 x 8)) (-.f64 (.f64 x (.f64 x 16)) (.f64 (.f64 x (+.f64 x x)) 5)))
(-.f64 (.f64 x x) (.f64 x (neg.f64 x)))
(-.f64 (.f64 x (.f64 x -6)) (.f64 (.f64 x x) -8))
(-.f64 (.f64 x (.f64 x -6)) (-.f64 (.f64 (.f64 x x) -4) (/.f64 2 (/.f64 1/2 (*.f64 x x)))))
(-.f64 (.f64 x (.f64 x -6)) (-.f64 (.f64 (.f64 x x) -12) (.f64 (.f64 x x) -4)))
(-.f64 (*.f64 x (+.f64 x x)) 0)
(-.f64 (*.f64 x (+.f64 x x)) (-.f64 x x))
(-.f64 (.f64 x (+.f64 x x)) (.f64 x (-.f64 x x)))
(-.f64 (.f64 x (+.f64 x x)) (+.f64 (.f64 x (-.f64 x x)) (-.f64 x x)))
(-.f64 (.f64 x (+.f64 x x)) (+.f64 (.f64 x (-.f64 x x)) (*.f64 x (-.f64 x x))))
(-.f64 0 (*.f64 (+.f64 x x) (neg.f64 x)))
(-.f64 0 (.f64 -1 (.f64 x (+.f64 x x))))
(-.f64 (.f64 (+.f64 x x) (neg.f64 x)) (-.f64 0 (/.f64 2 (/.f64 1/2 (.f64 x x)))))
(-.f64 (.f64 (+.f64 x x) (neg.f64 x)) (/.f64 (/.f64 2 (/.f64 1/2 (.f64 x x))) -1))
(-.f64 (.f64 (+.f64 x x) (neg.f64 x)) (.f64 -1 (/.f64 2 (/.f64 1/2 (*.f64 x x)))))
(-.f64 (.f64 x (neg.f64 x)) (-.f64 0 (.f64 x (*.f64 x 3))))
(-.f64 (.f64 x (neg.f64 x)) (-.f64 (-.f64 x x) (.f64 x (*.f64 x 3))))
(-.f64 (.f64 x (.f64 x 6)) (/.f64 2 (/.f64 1/2 (*.f64 x x))))
(-.f64 (.f64 (.f64 x x) -8) (-.f64 0 (.f64 (.f64 x (+.f64 x x)) 5)))
(-.f64 (.f64 (.f64 x x) -8) (-.f64 (-.f64 x x) (.f64 (.f64 x (+.f64 x x)) 5)))
(-.f64 (-.f64 x x) (*.f64 (+.f64 x x) (neg.f64 x)))
(-.f64 (/.f64 2 (/.f64 1/2 (.f64 x x))) (.f64 x (+.f64 x x)))
(-.f64 (.f64 (.f64 x x) -4) (.f64 x (.f64 x -6)))
(-.f64 (.f64 (.f64 x (+.f64 x x)) 5) (.f64 x (.f64 x 8)))
(-.f64 (.f64 x (-.f64 x x)) (.f64 (+.f64 x x) (neg.f64 x)))
(-.f64 (.f64 (.f64 x x) -18) (-.f64 (.f64 (.f64 (.f64 x x) -12) 2) (.f64 (*.f64 x x) -4)))
(-.f64 (.f64 x (.f64 x 24)) (-.f64 (.f64 (.f64 x (.f64 x 16)) 2) (.f64 (*.f64 x (+.f64 x x)) 5)))
(-.f64 (.f64 x (.f64 x 3)) (*.f64 x x))
(-.f64 (.f64 (/.f64 2 (/.f64 1/2 (.f64 x x))) 2) (.f64 x (.f64 x 6)))
(-.f64 (-.f64 (.f64 (/.f64 2 (/.f64 1/2 (.f64 x x))) 2) (-.f64 x x)) (.f64 x (.f64 x 6)))
(-.f64 (-.f64 (.f64 (/.f64 2 (/.f64 1/2 (.f64 x x))) 2) (.f64 x (-.f64 x x))) (.f64 x (*.f64 x 6)))
(-.f64 (+.f64 (.f64 x (.f64 x 8)) (.f64 (.f64 (.f64 x x) -12) 2)) (.f64 (*.f64 x x) -18))
(-.f64 (+.f64 (.f64 x x) (/.f64 2 (/.f64 1/2 (.f64 x x)))) (.f64 x (.f64 x 3)))
(-.f64 (+.f64 (.f64 x (.f64 x -6)) (.f64 (.f64 x (.f64 x 16)) 2)) (.f64 x (*.f64 x 24)))
(-.f64 (.f64 (+.f64 x x) (+.f64 x x)) (.f64 x (+.f64 x x)))
(-.f64 (.f64 0 (+.f64 x x)) (.f64 (+.f64 x x) (neg.f64 x)))
(-.f64 (.f64 (+.f64 x (.f64 x 3)) (+.f64 x x)) (.f64 (+.f64 x x) (.f64 x 3)))
(-.f64 (.f64 (.f64 x 3) x) (*.f64 x x))
(-.f64 (.f64 (.f64 x (.f64 x 6)) 1/2) (.f64 x x))
(-.f64 (+.f64 (.f64 (.f64 x x) -4) (.f64 (.f64 x x) -4)) (+.f64 (.f64 (.f64 x x) -4) (.f64 x (.f64 x -6))))
(-.f64 (+.f64 (.f64 (.f64 x (+.f64 x x)) 5) (.f64 (.f64 x (+.f64 x x)) 5)) (+.f64 (.f64 (.f64 x (+.f64 x x)) 5) (.f64 x (.f64 x 8))))
(-.f64 (+.f64 (.f64 (/.f64 2 (/.f64 1/2 (.f64 x x))) 2) (.f64 (/.f64 2 (/.f64 1/2 (.f64 x x))) 2)) (+.f64 (.f64 (/.f64 2 (/.f64 1/2 (.f64 x x))) 2) (.f64 x (.f64 x 6))))
(*.f64 x (+.f64 x x))
(.f64 (.f64 x x) 2)
(.f64 (.f64 x (+.f64 x x)) 1)
(.f64 1 (.f64 x (+.f64 x x)))
(.f64 -1 (.f64 (+.f64 x x) (neg.f64 x)))
(.f64 (.f64 (+.f64 x x) (neg.f64 x)) -1)
(.f64 (.f64 x (neg.f64 x)) -2)
(*.f64 (neg.f64 x) (-.f64 (neg.f64 x) x))
(.f64 (neg.f64 x) (-.f64 x (.f64 x 3)))
(*.f64 (neg.f64 x) (-.f64 0 (+.f64 x x)))
(.f64 (neg.f64 x) (+.f64 (.f64 x -8) (*.f64 x 6)))
(.f64 (/.f64 2 (/.f64 1/2 (.f64 x x))) 1/2)
(*.f64 (+.f64 x x) x)
(.f64 1/2 (/.f64 2 (/.f64 1/2 (.f64 x x))))
(.f64 1/2 (.f64 (+.f64 x x) (+.f64 x x)))
(.f64 1/2 (+.f64 (.f64 x (.f64 x 16)) (.f64 (*.f64 x x) -12)))
(.f64 1/2 (+.f64 (.f64 (.f64 x x) -12) (.f64 x (*.f64 x 16))))
(.f64 1/2 (fabs.f64 (/.f64 2 (/.f64 1/2 (.f64 x x)))))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) 2))
(.f64 2 (.f64 x x))
(.f64 (.f64 (fabs.f64 x) 2) (fabs.f64 x))
(*.f64 (-.f64 (neg.f64 x) x) (neg.f64 x))
(.f64 (-.f64 (.f64 (+.f64 x x) (neg.f64 x)) (*.f64 x (+.f64 x x))) -1/2)
(.f64 (+.f64 x (.f64 x 3)) (*.f64 x 1/2))
(.f64 -1/2 (.f64 (*.f64 x x) -4))
(.f64 -1/2 (-.f64 (.f64 (+.f64 x x) (neg.f64 x)) (*.f64 x (+.f64 x x))))
(.f64 -1/2 (-.f64 0 (/.f64 2 (/.f64 1/2 (.f64 x x)))))
(*.f64 (neg.f64 (+.f64 x x)) (neg.f64 x))
(.f64 (fabs.f64 (/.f64 2 (/.f64 1/2 (.f64 x x)))) 1/2)
(.f64 (fabs.f64 (-.f64 (.f64 (+.f64 x x) (neg.f64 x)) (*.f64 x (+.f64 x x)))) 1/2)
(/.f64 x (/.f64 1/2 x))
(/.f64 (*.f64 x (+.f64 x x)) 1)
(/.f64 1 (/.f64 1/2 (*.f64 x x)))
(/.f64 1 (fabs.f64 (/.f64 1/2 (*.f64 x x))))
(/.f64 -1 (/.f64 1 (*.f64 (+.f64 x x) (neg.f64 x))))
(/.f64 (*.f64 (+.f64 x x) (neg.f64 x)) -1)
(/.f64 (neg.f64 x) (/.f64 -1 (+.f64 x x)))
(/.f64 (+.f64 x x) (/.f64 1 x))
(/.f64 1/2 (/.f64 (/.f64 1/2 x) (+.f64 x x)))
(/.f64 1/2 (/.f64 1 (/.f64 2 (/.f64 1/2 (*.f64 x x)))))
(/.f64 1/2 (/.f64 -1 (-.f64 (.f64 (+.f64 x x) (neg.f64 x)) (.f64 x (+.f64 x x)))))
(/.f64 2 (/.f64 (/.f64 1 x) x))
(/.f64 (*.f64 (fabs.f64 x) 2) (/.f64 1 (fabs.f64 x)))
(/.f64 (-.f64 (neg.f64 x) x) (/.f64 -1 x))
(/.f64 (-.f64 x (*.f64 x 3)) (/.f64 -1 x))
(/.f64 (-.f64 0 (+.f64 x x)) (/.f64 -1 x))
(/.f64 (*.f64 (neg.f64 x) (+.f64 x x)) -1)
(/.f64 (/.f64 (+.f64 x x) 2) (/.f64 1/2 x))
(/.f64 (neg.f64 (+.f64 x x)) (/.f64 -1 x))
(/.f64 (*.f64 (-.f64 (neg.f64 x) x) x) -1)
(neg.f64 (*.f64 (+.f64 x x) (neg.f64 x)))
(fabs.f64 (*.f64 x (+.f64 x x)))
(fabs.f64 (*.f64 (+.f64 x x) (neg.f64 x)))
(+.f64 (.f64 x (.f64 x -6)) 0)
(+.f64 (.f64 x (.f64 x -6)) (-.f64 x x))
(+.f64 (.f64 x (.f64 x -6)) (*.f64 x (-.f64 x x)))
(+.f64 (.f64 x (.f64 x -6)) (/.f64 (-.f64 x x) -1/6))
(+.f64 (.f64 x (.f64 x -6)) (.f64 (.f64 x -6) 0))
(+.f64 0 (.f64 x (.f64 x -6)))
(+.f64 (.f64 x (.f64 x 6)) (.f64 (.f64 x x) -12))
(+.f64 (-.f64 x x) (.f64 x (.f64 x -6)))
(+.f64 (.f64 (.f64 x x) -12) (.f64 x (.f64 x 6)))
(+.f64 (.f64 x (-.f64 x x)) (.f64 x (*.f64 x -6)))
(+.f64 (.f64 (.f64 (.f64 x x) -12) 2) (-.f64 0 (.f64 (*.f64 x x) -18)))
(+.f64 (/.f64 (-.f64 x x) -1/6) (.f64 x (.f64 x -6)))
(+.f64 (.f64 (.f64 x (.f64 x -6)) 1/2) (.f64 1/2 (.f64 x (.f64 x -6))))
(+.f64 (.f64 (+.f64 x x) (.f64 x -6)) (.f64 x (.f64 x 6)))
(-.f64 (.f64 x (.f64 x -6)) 0)
(-.f64 (.f64 x (.f64 x -6)) (-.f64 x x))
(-.f64 (.f64 x (.f64 x -6)) (*.f64 x (-.f64 x x)))
(-.f64 (.f64 x (.f64 x -6)) (/.f64 (-.f64 x x) -1/6))
(-.f64 (.f64 x (.f64 x -6)) (.f64 (.f64 x -6) 0))
(-.f64 (.f64 x (.f64 x -6)) (+.f64 (*.f64 x (-.f64 x x)) (-.f64 x x)))
(-.f64 (.f64 x (.f64 x -6)) (+.f64 (.f64 x (-.f64 x x)) (.f64 x (-.f64 x x))))
(-.f64 0 (.f64 x (.f64 x 6)))
(-.f64 (.f64 x (.f64 x 6)) (-.f64 0 (.f64 (.f64 x x) -12)))
(-.f64 (.f64 x (.f64 x 6)) (/.f64 (.f64 (.f64 x x) -12) -1))
(-.f64 (.f64 x (.f64 x 6)) (.f64 6 (.f64 x (+.f64 x x))))
(-.f64 (.f64 x (.f64 x 6)) (.f64 -1 (.f64 (*.f64 x x) -12)))
(-.f64 (-.f64 x x) (.f64 x (.f64 x 6)))
(-.f64 (.f64 (.f64 x x) -12) (.f64 x (.f64 x -6)))
(-.f64 (.f64 x (-.f64 x x)) (.f64 x (*.f64 x 6)))
(-.f64 (.f64 (.f64 x x) -18) (.f64 (.f64 x x) -12))
(-.f64 (.f64 (.f64 (.f64 x x) -12) 2) (.f64 (*.f64 x x) -18))
(-.f64 (-.f64 (.f64 (.f64 (.f64 x x) -12) 2) (-.f64 x x)) (.f64 (*.f64 x x) -18))
(-.f64 (-.f64 (.f64 (.f64 (.f64 x x) -12) 2) (.f64 x (-.f64 x x))) (.f64 (.f64 x x) -18))
(-.f64 (/.f64 (-.f64 x x) -1/6) (.f64 x (.f64 x 6)))
(-.f64 (/.f64 (/.f64 2 (/.f64 1/2 (.f64 x x))) -1/6) (/.f64 (.f64 x (*.f64 x 3)) -1/6))
(-.f64 (.f64 (-.f64 x x) 6) (.f64 x (*.f64 x 6)))
(-.f64 (.f64 (+.f64 x x) (.f64 x -6)) (.f64 x (.f64 x -6)))
(-.f64 (.f64 (/.f64 2 (/.f64 1/2 (.f64 x x))) -6) (.f64 (.f64 x x) -18))
(-.f64 (.f64 (.f64 -6 (+.f64 x x)) x) (.f64 x (.f64 x -6)))
(-.f64 (.f64 (+.f64 x (.f64 x 3)) (.f64 x -6)) (.f64 (.f64 x -6) (.f64 x 3)))
(-.f64 (.f64 (.f64 (.f64 x x) -18) 1/2) (.f64 1/2 (.f64 x (.f64 x -6))))
(-.f64 (+.f64 (.f64 (.f64 (.f64 x x) -12) 2) (.f64 (.f64 (.f64 x x) -12) 2)) (+.f64 (.f64 (.f64 (.f64 x x) -12) 2) (.f64 (*.f64 x x) -18)))
(/.f64 x (/.f64 (/.f64 1 x) -6))
(/.f64 x (/.f64 1 (*.f64 x -6)))
(/.f64 x (*.f64 (/.f64 1 x) -1/6))
(/.f64 x (/.f64 -1 (*.f64 x 6)))
(/.f64 (*.f64 x x) -1/6)
(/.f64 -6 (/.f64 (/.f64 1 x) x))
(/.f64 (.f64 x (.f64 x -6)) 1)
(/.f64 1 (/.f64 -1/6 (*.f64 x x)))
(/.f64 -1 (/.f64 1 (.f64 x (.f64 x 6))))
(/.f64 (*.f64 x (neg.f64 x)) 1/6)
(/.f64 (.f64 x (.f64 x 6)) -1)
(/.f64 (neg.f64 x) (/.f64 (/.f64 -1 x) -6))
(/.f64 (neg.f64 x) (/.f64 -1 (*.f64 x -6)))
(/.f64 (neg.f64 x) (*.f64 (/.f64 -1 x) -1/6))
(/.f64 (*.f64 x -6) (/.f64 1 x))
(/.f64 6 (-.f64 0 (/.f64 (/.f64 1 x) x)))
(/.f64 6 (/.f64 1 (*.f64 x (neg.f64 x))))
(/.f64 1/2 (/.f64 (/.f64 1/2 (*.f64 x x)) -6))
(/.f64 1/2 (/.f64 (/.f64 1/2 x) (*.f64 x -6)))
(/.f64 1/2 (/.f64 (/.f64 (/.f64 1 x) x) -12))
(/.f64 1/2 (/.f64 1 (.f64 (.f64 x x) -12)))
(/.f64 1/2 (/.f64 -1 (+.f64 (.f64 x (.f64 x 6)) (.f64 x (.f64 x 6)))))
(/.f64 (fabs.f64 x) (/.f64 (/.f64 1 (fabs.f64 x)) -6))
(/.f64 (fabs.f64 x) (*.f64 (/.f64 1 (fabs.f64 x)) -1/6))
(/.f64 -3 (/.f64 1/2 (*.f64 x x)))
(/.f64 (*.f64 -6 (fabs.f64 x)) (/.f64 1 (fabs.f64 x)))
(/.f64 -12 (/.f64 (/.f64 (/.f64 1 x) x) 1/2))
(/.f64 (*.f64 x 6) (/.f64 -1 x))
(/.f64 (/.f64 (neg.f64 x) -1/6) (/.f64 -1 x))
(/.f64 (/.f64 (fabs.f64 x) -1/6) (/.f64 1 (fabs.f64 x)))
(/.f64 (/.f64 (*.f64 x -6) 2) (/.f64 1/2 x))
(/.f64 (neg.f64 (*.f64 x -6)) (/.f64 -1 x))
(neg.f64 (.f64 x (.f64 x 6)))

Outputs
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 (sqrt.f64 2) (.f64 -1 x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 (sqrt.f64 2) (.f64 -1 x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 (sqrt.f64 2) (.f64 -1 x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 (sqrt.f64 2) (.f64 -1 x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 -6 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) -6)
(*.f64 -6 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) -6)
(*.f64 -6 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) -6)
(*.f64 -6 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) -6)
(*.f64 -6 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) -6)
(*.f64 -6 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) -6)
(*.f64 -6 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) -6)
(*.f64 -6 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) -6)
(*.f64 -6 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) -6)
(*.f64 -6 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) -6)
(*.f64 -6 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) -6)
(*.f64 -6 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) -6)
(+.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 0)
(sqrt.f64 (*.f64 x (+.f64 x x)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(+.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 0))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(+.f64 0 (sqrt.f64 (*.f64 x (+.f64 x x))))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(+.f64 (neg.f64 (sqrt.f64 (.f64 x (+.f64 x x)))) (.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 2))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(+.f64 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 2) (neg.f64 (sqrt.f64 (*.f64 x (+.f64 x x)))))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(+.f64 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 0) (sqrt.f64 (*.f64 x (+.f64 x x))))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(+.f64 (.f64 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 2) 2) (-.f64 0 (.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 3)))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(+.f64 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 1/2) (.f64 1/2 (sqrt.f64 (.f64 x (+.f64 x x)))))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(-.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 0)
(sqrt.f64 (*.f64 x (+.f64 x x)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(-.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 0))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(-.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (+.f64 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 0) (.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 0)))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(-.f64 0 (neg.f64 (sqrt.f64 (*.f64 x (+.f64 x x)))))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(-.f64 0 (.f64 -1 (sqrt.f64 (.f64 x (+.f64 x x)))))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(-.f64 (neg.f64 (sqrt.f64 (.f64 x (+.f64 x x)))) (-.f64 0 (.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 2)))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(-.f64 (neg.f64 (sqrt.f64 (.f64 x (+.f64 x x)))) (/.f64 (.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 2) -1))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(-.f64 (neg.f64 (sqrt.f64 (.f64 x (+.f64 x x)))) (.f64 -1 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 2)))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(-.f64 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 2) (sqrt.f64 (*.f64 x (+.f64 x x))))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(-.f64 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 0) (neg.f64 (sqrt.f64 (*.f64 x (+.f64 x x)))))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(-.f64 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 3) (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 2))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(-.f64 (.f64 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 2) 2) (.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 3))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(-.f64 (-.f64 (.f64 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 2) 2) (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 0)) (.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 3))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(-.f64 (.f64 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 3) 1/2) (.f64 1/2 (sqrt.f64 (*.f64 x (+.f64 x x)))))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(-.f64 (+.f64 (.f64 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 2) 2) (.f64 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 2) 2)) (+.f64 (.f64 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 2) 2) (.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 3)))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 1)
(sqrt.f64 (*.f64 x (+.f64 x x)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(.f64 1 (sqrt.f64 (.f64 x (+.f64 x x))))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(.f64 -1 (neg.f64 (sqrt.f64 (.f64 x (+.f64 x x)))))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(.f64 (neg.f64 (sqrt.f64 (.f64 x (+.f64 x x)))) -1)
(sqrt.f64 (*.f64 x (+.f64 x x)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(.f64 (.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 2) 1/2)
(sqrt.f64 (*.f64 x (+.f64 x x)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(.f64 1/2 (.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 2))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(.f64 2 (/.f64 1/2 (/.f64 1 (sqrt.f64 (.f64 x (+.f64 x x))))))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(.f64 (-.f64 (neg.f64 (sqrt.f64 (.f64 x (+.f64 x x)))) (sqrt.f64 (*.f64 x (+.f64 x x)))) -1/2)
(sqrt.f64 (*.f64 x (+.f64 x x)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(.f64 -1/2 (-.f64 (neg.f64 (sqrt.f64 (.f64 x (+.f64 x x)))) (sqrt.f64 (*.f64 x (+.f64 x x)))))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(.f64 -1/2 (-.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 3)))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(.f64 -1/2 (-.f64 0 (.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 2)))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(/.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 1)
(sqrt.f64 (*.f64 x (+.f64 x x)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(/.f64 1 (/.f64 1 (sqrt.f64 (*.f64 x (+.f64 x x)))))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(/.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 (*.f64 x (+.f64 x x))))))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(/.f64 (neg.f64 (sqrt.f64 (*.f64 x (+.f64 x x)))) -1)
(sqrt.f64 (*.f64 x (+.f64 x x)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(/.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 2)))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(/.f64 1/2 (/.f64 -1 (-.f64 (neg.f64 (sqrt.f64 (.f64 x (+.f64 x x)))) (sqrt.f64 (.f64 x (+.f64 x x))))))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(neg.f64 (neg.f64 (sqrt.f64 (*.f64 x (+.f64 x x)))))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(-.f64 (.f64 x (.f64 x 8)) (.f64 x (.f64 x 6)))
(.f64 x (-.f64 (.f64 x 8) (*.f64 x 6)))
(-.f64 (.f64 x (.f64 x 8)) (-.f64 (.f64 (.f64 x (+.f64 x x)) 5) (/.f64 2 (/.f64 1/2 (*.f64 x x)))))
(-.f64 (.f64 x (.f64 x 8)) (-.f64 (.f64 (.f64 x (+.f64 x x)) 5) (/.f64 (*.f64 x x) 1/4)))
(-.f64 (.f64 8 (.f64 x x)) (-.f64 (.f64 (.f64 x (/.f64 x 1/4)) 5/2) (*.f64 x (/.f64 x 1/4))))
(-.f64 (.f64 x (.f64 x 8)) (-.f64 (.f64 x (.f64 x 16)) (.f64 (.f64 x (+.f64 x x)) 5)))
(-.f64 (.f64 (.f64 x (+.f64 x x)) 5) (-.f64 (.f64 x (.f64 x 16)) (.f64 x (.f64 x 8))))
(-.f64 (.f64 (.f64 x (/.f64 x 1/4)) 5/2) (.f64 x (-.f64 (.f64 x 16) (*.f64 x 8))))
(-.f64 (.f64 x x) (.f64 x (neg.f64 x)))
(*.f64 x (-.f64 x (neg.f64 x)))
(.f64 2 (.f64 x x))
(-.f64 (.f64 x (.f64 x -6)) (.f64 (.f64 x x) -8))
(-.f64 (.f64 -6 (.f64 x x)) (.f64 (.f64 x x) -8))
(.f64 (neg.f64 x) (.f64 x -2))
(-.f64 (.f64 x (.f64 x -6)) (-.f64 (.f64 (.f64 x x) -4) (/.f64 2 (/.f64 1/2 (*.f64 x x)))))
(-.f64 (.f64 x (.f64 x -6)) (.f64 (.f64 x x) -8))
(-.f64 (.f64 -6 (.f64 x x)) (.f64 (.f64 x x) -8))
(.f64 (neg.f64 x) (.f64 x -2))
(-.f64 (.f64 x (.f64 x -6)) (-.f64 (.f64 (.f64 x x) -12) (.f64 (.f64 x x) -4)))
(-.f64 (.f64 x (.f64 x -6)) (.f64 (.f64 x x) -8))
(-.f64 (.f64 -6 (.f64 x x)) (.f64 (.f64 x x) -8))
(.f64 (neg.f64 x) (.f64 x -2))
(-.f64 (*.f64 x (+.f64 x x)) 0)
(*.f64 x (-.f64 x (neg.f64 x)))
(.f64 2 (.f64 x x))
(-.f64 (*.f64 x (+.f64 x x)) (-.f64 x x))
(-.f64 (.f64 2 (.f64 x x)) (-.f64 x x))
(-.f64 (.f64 x (+.f64 x x)) (.f64 x (-.f64 x x)))
(*.f64 x (-.f64 x (neg.f64 x)))
(.f64 2 (.f64 x x))
(-.f64 (.f64 x (+.f64 x x)) (+.f64 (.f64 x (-.f64 x x)) (-.f64 x x)))
(-.f64 (*.f64 x (+.f64 x x)) (-.f64 x x))
(-.f64 (.f64 2 (.f64 x x)) (-.f64 x x))
(-.f64 (.f64 x (+.f64 x x)) (+.f64 (.f64 x (-.f64 x x)) (*.f64 x (-.f64 x x))))
(*.f64 x (-.f64 x (neg.f64 x)))
(.f64 2 (.f64 x x))
(-.f64 0 (*.f64 (+.f64 x x) (neg.f64 x)))
(*.f64 x (-.f64 x (neg.f64 x)))
(.f64 2 (.f64 x x))
(-.f64 0 (.f64 -1 (.f64 x (+.f64 x x))))
(*.f64 x (-.f64 x (neg.f64 x)))
(.f64 2 (.f64 x x))
(-.f64 (.f64 (+.f64 x x) (neg.f64 x)) (-.f64 0 (/.f64 2 (/.f64 1/2 (.f64 x x)))))
(*.f64 x (-.f64 x (neg.f64 x)))
(.f64 2 (.f64 x x))
(-.f64 (.f64 (+.f64 x x) (neg.f64 x)) (/.f64 (/.f64 2 (/.f64 1/2 (.f64 x x))) -1))
(*.f64 x (-.f64 x (neg.f64 x)))
(.f64 2 (.f64 x x))
(-.f64 (.f64 (+.f64 x x) (neg.f64 x)) (.f64 -1 (/.f64 2 (/.f64 1/2 (*.f64 x x)))))
(*.f64 x (-.f64 x (neg.f64 x)))
(.f64 2 (.f64 x x))
(-.f64 (.f64 x (neg.f64 x)) (-.f64 0 (.f64 x (*.f64 x 3))))
(-.f64 (.f64 x (neg.f64 x)) (neg.f64 (.f64 x (*.f64 x 3))))
(-.f64 (.f64 3 (.f64 x x)) (neg.f64 (*.f64 x (neg.f64 x))))
(.f64 x (-.f64 (.f64 x 3) x))
(-.f64 (.f64 x (neg.f64 x)) (-.f64 (-.f64 x x) (.f64 x (*.f64 x 3))))
(-.f64 (.f64 x (.f64 x 3)) (-.f64 (-.f64 x x) (*.f64 x (neg.f64 x))))
(-.f64 (.f64 3 (.f64 x x)) (-.f64 (-.f64 x x) (*.f64 x (neg.f64 x))))
(-.f64 (.f64 x (.f64 x 6)) (/.f64 2 (/.f64 1/2 (*.f64 x x))))
(-.f64 (.f64 x (.f64 x 6)) (/.f64 (*.f64 x x) 1/4))
(-.f64 (.f64 6 (.f64 x x)) (*.f64 x (/.f64 x 1/4)))
(-.f64 (.f64 (.f64 x x) -8) (-.f64 0 (.f64 (.f64 x (+.f64 x x)) 5)))
(-.f64 (.f64 (.f64 x x) -8) (neg.f64 (.f64 (.f64 x (+.f64 x x)) 5)))
(-.f64 (.f64 (.f64 x x) -8) (neg.f64 (.f64 (.f64 x (/.f64 x 1/4)) 5/2)))
(-.f64 (.f64 (.f64 x x) -8) (-.f64 (-.f64 x x) (.f64 (.f64 x (+.f64 x x)) 5)))
(-.f64 (.f64 (.f64 x (+.f64 x x)) 5) (-.f64 (-.f64 x x) (.f64 (.f64 x x) -8)))
(-.f64 (.f64 (.f64 x (/.f64 x 1/4)) 5/2) (-.f64 (-.f64 x x) (.f64 (.f64 x x) -8)))
(-.f64 (-.f64 x x) (*.f64 (+.f64 x x) (neg.f64 x)))
(-.f64 (-.f64 x x) (.f64 2 (.f64 x (neg.f64 x))))
(-.f64 (/.f64 2 (/.f64 1/2 (.f64 x x))) (.f64 x (+.f64 x x)))
(*.f64 x (-.f64 x (neg.f64 x)))
(.f64 2 (.f64 x x))
(-.f64 (.f64 (.f64 x x) -4) (.f64 x (.f64 x -6)))
(-.f64 (.f64 x (.f64 x -6)) (.f64 (.f64 x x) -8))
(-.f64 (.f64 -6 (.f64 x x)) (.f64 (.f64 x x) -8))
(.f64 (neg.f64 x) (.f64 x -2))
(-.f64 (.f64 (.f64 x (+.f64 x x)) 5) (.f64 x (.f64 x 8)))
(-.f64 (.f64 (.f64 x (/.f64 x 1/4)) 5/2) (.f64 8 (.f64 x x)))
(-.f64 (.f64 x (-.f64 x x)) (.f64 (+.f64 x x) (neg.f64 x)))
(*.f64 x (-.f64 x (neg.f64 x)))
(.f64 2 (.f64 x x))
(-.f64 (.f64 (.f64 x x) -18) (-.f64 (.f64 (.f64 (.f64 x x) -12) 2) (.f64 (*.f64 x x) -4)))
(-.f64 (.f64 (.f64 x x) -4) (-.f64 (.f64 2 (.f64 (.f64 x x) -12)) (.f64 (*.f64 x x) -18)))
(-.f64 (.f64 (.f64 x x) -4) (-.f64 (.f64 (.f64 x x) -24) (.f64 (.f64 x x) -18)))
(-.f64 (.f64 x (.f64 x 24)) (-.f64 (.f64 (.f64 x (.f64 x 16)) 2) (.f64 (*.f64 x (+.f64 x x)) 5)))
(-.f64 (.f64 (.f64 x (+.f64 x x)) 5) (-.f64 (.f64 2 (.f64 x (.f64 x 16))) (.f64 x (*.f64 x 24))))
(-.f64 (.f64 (.f64 x (/.f64 x 1/4)) 5/2) (-.f64 (.f64 2 (.f64 x (.f64 x 16))) (.f64 x (*.f64 x 24))))
(-.f64 (.f64 x (.f64 x 3)) (*.f64 x x))
(-.f64 (.f64 x (neg.f64 x)) (neg.f64 (.f64 x (*.f64 x 3))))
(-.f64 (.f64 3 (.f64 x x)) (neg.f64 (*.f64 x (neg.f64 x))))
(.f64 x (-.f64 (.f64 x 3) x))
(-.f64 (.f64 (/.f64 2 (/.f64 1/2 (.f64 x x))) 2) (.f64 x (.f64 x 6)))
(-.f64 (.f64 2 (/.f64 (.f64 x x) 1/4)) (.f64 x (.f64 x 6)))
(-.f64 (/.f64 2 (/.f64 1/4 (.f64 x x))) (.f64 6 (*.f64 x x)))
(-.f64 (-.f64 (.f64 (/.f64 2 (/.f64 1/2 (.f64 x x))) 2) (-.f64 x x)) (.f64 x (.f64 x 6)))
(-.f64 (-.f64 (.f64 2 (/.f64 (.f64 x x) 1/4)) (.f64 x (.f64 x 6))) (-.f64 x x))
(-.f64 (-.f64 (/.f64 2 (/.f64 1/4 (.f64 x x))) (.f64 6 (*.f64 x x))) (-.f64 x x))
(-.f64 (-.f64 (.f64 (/.f64 2 (/.f64 1/2 (.f64 x x))) 2) (.f64 x (-.f64 x x))) (.f64 x (*.f64 x 6)))
(-.f64 (-.f64 (.f64 2 (/.f64 (.f64 x x) 1/4)) (.f64 x (.f64 x 6))) (*.f64 x (-.f64 x x)))
(-.f64 (-.f64 (/.f64 2 (/.f64 1/4 (.f64 x x))) (.f64 6 (.f64 x x))) (.f64 x (-.f64 x x)))
(-.f64 (+.f64 (.f64 x (.f64 x 8)) (.f64 (.f64 (.f64 x x) -12) 2)) (.f64 (*.f64 x x) -18))
(+.f64 (.f64 x (.f64 x 8)) (-.f64 (.f64 2 (.f64 (.f64 x x) -12)) (.f64 (*.f64 x x) -18)))
(+.f64 (.f64 8 (.f64 x x)) (-.f64 (.f64 (.f64 x x) -24) (.f64 (.f64 x x) -18)))
(-.f64 (+.f64 (.f64 x x) (/.f64 2 (/.f64 1/2 (.f64 x x)))) (.f64 x (.f64 x 3)))
(+.f64 (.f64 x x) (-.f64 (/.f64 (.f64 x x) 1/4) (.f64 x (.f64 x 3))))
(+.f64 (.f64 x x) (-.f64 (.f64 x (/.f64 x 1/4)) (.f64 3 (.f64 x x))))
(-.f64 (+.f64 (.f64 x (.f64 x -6)) (.f64 (.f64 x (.f64 x 16)) 2)) (.f64 x (*.f64 x 24)))
(-.f64 (+.f64 (.f64 x (.f64 x -6)) (.f64 2 (.f64 x (.f64 x 16)))) (.f64 x (*.f64 x 24)))
(+.f64 (.f64 -6 (.f64 x x)) (-.f64 (.f64 2 (.f64 x (.f64 x 16))) (.f64 x (*.f64 x 24))))
(-.f64 (.f64 (+.f64 x x) (+.f64 x x)) (.f64 x (+.f64 x x)))
(*.f64 x (-.f64 x (neg.f64 x)))
(.f64 2 (.f64 x x))
(-.f64 (.f64 0 (+.f64 x x)) (.f64 (+.f64 x x) (neg.f64 x)))
(*.f64 x (-.f64 x (neg.f64 x)))
(.f64 2 (.f64 x x))
(-.f64 (.f64 (+.f64 x (.f64 x 3)) (+.f64 x x)) (.f64 (+.f64 x x) (.f64 x 3)))
(.f64 (+.f64 x x) (-.f64 (+.f64 x (.f64 x 3)) (*.f64 x 3)))
(.f64 (+.f64 x x) (+.f64 x (-.f64 (.f64 x 3) (*.f64 x 3))))
(-.f64 (.f64 (.f64 x 3) x) (*.f64 x x))
(-.f64 (.f64 x (neg.f64 x)) (neg.f64 (.f64 x (*.f64 x 3))))
(-.f64 (.f64 3 (.f64 x x)) (neg.f64 (*.f64 x (neg.f64 x))))
(.f64 x (-.f64 (.f64 x 3) x))
(-.f64 (.f64 (.f64 x (.f64 x 6)) 1/2) (.f64 x x))
(-.f64 (.f64 1/2 (.f64 x (.f64 x 6))) (.f64 x x))
(-.f64 (.f64 x (/.f64 x 1/3)) (.f64 x x))
(-.f64 (+.f64 (.f64 (.f64 x x) -4) (.f64 (.f64 x x) -4)) (+.f64 (.f64 (.f64 x x) -4) (.f64 x (.f64 x -6))))
(-.f64 (.f64 x (.f64 x -6)) (.f64 (.f64 x x) -8))
(-.f64 (.f64 -6 (.f64 x x)) (.f64 (.f64 x x) -8))
(.f64 (neg.f64 x) (.f64 x -2))
(-.f64 (+.f64 (.f64 (.f64 x (+.f64 x x)) 5) (.f64 (.f64 x (+.f64 x x)) 5)) (+.f64 (.f64 (.f64 x (+.f64 x x)) 5) (.f64 x (.f64 x 8))))
(-.f64 (.f64 (.f64 x (+.f64 x x)) 5) (.f64 x (.f64 x 8)))
(-.f64 (.f64 (.f64 x (/.f64 x 1/4)) 5/2) (.f64 8 (.f64 x x)))
(-.f64 (+.f64 (.f64 (/.f64 2 (/.f64 1/2 (.f64 x x))) 2) (.f64 (/.f64 2 (/.f64 1/2 (.f64 x x))) 2)) (+.f64 (.f64 (/.f64 2 (/.f64 1/2 (.f64 x x))) 2) (.f64 x (.f64 x 6))))
(-.f64 (.f64 2 (/.f64 (.f64 x x) 1/4)) (.f64 x (.f64 x 6)))
(-.f64 (/.f64 2 (/.f64 1/4 (.f64 x x))) (.f64 6 (*.f64 x x)))
(*.f64 x (+.f64 x x))
(*.f64 x (-.f64 x (neg.f64 x)))
(.f64 2 (.f64 x x))
(.f64 (.f64 x x) 2)
(*.f64 x (-.f64 x (neg.f64 x)))
(.f64 2 (.f64 x x))
(.f64 (.f64 x (+.f64 x x)) 1)
(*.f64 x (-.f64 x (neg.f64 x)))
(.f64 2 (.f64 x x))
(.f64 1 (.f64 x (+.f64 x x)))
(*.f64 x (-.f64 x (neg.f64 x)))
(.f64 2 (.f64 x x))
(.f64 -1 (.f64 (+.f64 x x) (neg.f64 x)))
(*.f64 x (-.f64 x (neg.f64 x)))
(.f64 2 (.f64 x x))
(.f64 (.f64 (+.f64 x x) (neg.f64 x)) -1)
(*.f64 x (-.f64 x (neg.f64 x)))
(.f64 2 (.f64 x x))
(.f64 (.f64 x (neg.f64 x)) -2)
(*.f64 x (-.f64 x (neg.f64 x)))
(.f64 2 (.f64 x x))
(*.f64 (neg.f64 x) (-.f64 (neg.f64 x) x))
(*.f64 x (-.f64 x (neg.f64 x)))
(.f64 2 (.f64 x x))
(.f64 (neg.f64 x) (-.f64 x (.f64 x 3)))
(-.f64 (.f64 x (neg.f64 x)) (neg.f64 (.f64 x (*.f64 x 3))))
(-.f64 (.f64 3 (.f64 x x)) (neg.f64 (*.f64 x (neg.f64 x))))
(.f64 x (-.f64 (.f64 x 3) x))
(*.f64 (neg.f64 x) (-.f64 0 (+.f64 x x)))
(*.f64 x (-.f64 x (neg.f64 x)))
(.f64 2 (.f64 x x))
(.f64 (neg.f64 x) (+.f64 (.f64 x -8) (*.f64 x 6)))
(-.f64 (.f64 x (.f64 x -6)) (.f64 (.f64 x x) -8))
(-.f64 (.f64 -6 (.f64 x x)) (.f64 (.f64 x x) -8))
(.f64 (neg.f64 x) (.f64 x -2))
(.f64 (/.f64 2 (/.f64 1/2 (.f64 x x))) 1/2)
(*.f64 x (-.f64 x (neg.f64 x)))
(.f64 2 (.f64 x x))
(*.f64 (+.f64 x x) x)
(*.f64 x (-.f64 x (neg.f64 x)))
(.f64 2 (.f64 x x))
(.f64 1/2 (/.f64 2 (/.f64 1/2 (.f64 x x))))
(*.f64 x (-.f64 x (neg.f64 x)))
(.f64 2 (.f64 x x))
(.f64 1/2 (.f64 (+.f64 x x) (+.f64 x x)))
(*.f64 x (-.f64 x (neg.f64 x)))
(.f64 2 (.f64 x x))
(.f64 1/2 (+.f64 (.f64 x (.f64 x 16)) (.f64 (*.f64 x x) -12)))
(+.f64 (.f64 -6 (.f64 x x)) (.f64 x (.f64 1/2 (*.f64 x 16))))
(.f64 1/2 (+.f64 (.f64 (.f64 x x) -12) (.f64 x (*.f64 x 16))))
(.f64 1/2 (+.f64 (.f64 x (.f64 x 16)) (.f64 (*.f64 x x) -12)))
(+.f64 (.f64 -6 (.f64 x x)) (.f64 x (.f64 1/2 (*.f64 x 16))))
(.f64 1/2 (fabs.f64 (/.f64 2 (/.f64 1/2 (.f64 x x)))))
(*.f64 x (-.f64 x (neg.f64 x)))
(.f64 2 (.f64 x x))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) 2))
(*.f64 x (-.f64 x (neg.f64 x)))
(.f64 2 (.f64 x x))
(.f64 2 (.f64 x x))
(*.f64 x (-.f64 x (neg.f64 x)))
(.f64 (.f64 (fabs.f64 x) 2) (fabs.f64 x))
(*.f64 x (-.f64 x (neg.f64 x)))
(.f64 2 (.f64 x x))
(*.f64 (-.f64 (neg.f64 x) x) (neg.f64 x))
(*.f64 x (-.f64 x (neg.f64 x)))
(.f64 2 (.f64 x x))
(.f64 (-.f64 (.f64 (+.f64 x x) (neg.f64 x)) (*.f64 x (+.f64 x x))) -1/2)
(*.f64 x (-.f64 x (neg.f64 x)))
(.f64 2 (.f64 x x))
(.f64 (+.f64 x (.f64 x 3)) (*.f64 x 1/2))
(.f64 x (.f64 (+.f64 x (*.f64 x 3)) 1/2))
(.f64 x (.f64 1/2 (+.f64 x (*.f64 x 3))))
(.f64 -1/2 (.f64 (*.f64 x x) -4))
(*.f64 x (-.f64 x (neg.f64 x)))
(.f64 2 (.f64 x x))
(.f64 -1/2 (-.f64 (.f64 (+.f64 x x) (neg.f64 x)) (*.f64 x (+.f64 x x))))
(*.f64 x (-.f64 x (neg.f64 x)))
(.f64 2 (.f64 x x))
(.f64 -1/2 (-.f64 0 (/.f64 2 (/.f64 1/2 (.f64 x x)))))
(*.f64 x (-.f64 x (neg.f64 x)))
(.f64 2 (.f64 x x))
(*.f64 (neg.f64 (+.f64 x x)) (neg.f64 x))
(*.f64 x (-.f64 x (neg.f64 x)))
(.f64 2 (.f64 x x))
(.f64 (fabs.f64 (/.f64 2 (/.f64 1/2 (.f64 x x)))) 1/2)
(*.f64 x (-.f64 x (neg.f64 x)))
(.f64 2 (.f64 x x))
(.f64 (fabs.f64 (-.f64 (.f64 (+.f64 x x) (neg.f64 x)) (*.f64 x (+.f64 x x)))) 1/2)
(*.f64 x (-.f64 x (neg.f64 x)))
(.f64 2 (.f64 x x))
(/.f64 x (/.f64 1/2 x))
(*.f64 x (-.f64 x (neg.f64 x)))
(.f64 2 (.f64 x x))
(/.f64 (*.f64 x (+.f64 x x)) 1)
(*.f64 x (-.f64 x (neg.f64 x)))
(.f64 2 (.f64 x x))
(/.f64 1 (/.f64 1/2 (*.f64 x x)))
(*.f64 x (-.f64 x (neg.f64 x)))
(.f64 2 (.f64 x x))
(/.f64 1 (fabs.f64 (/.f64 1/2 (*.f64 x x))))
(*.f64 x (-.f64 x (neg.f64 x)))
(.f64 2 (.f64 x x))
(/.f64 -1 (/.f64 1 (*.f64 (+.f64 x x) (neg.f64 x))))
(*.f64 x (-.f64 x (neg.f64 x)))
(.f64 2 (.f64 x x))
(/.f64 (*.f64 (+.f64 x x) (neg.f64 x)) -1)
(*.f64 x (-.f64 x (neg.f64 x)))
(.f64 2 (.f64 x x))
(/.f64 (neg.f64 x) (/.f64 -1 (+.f64 x x)))
(*.f64 x (-.f64 x (neg.f64 x)))
(.f64 2 (.f64 x x))
(/.f64 (+.f64 x x) (/.f64 1 x))
(*.f64 x (-.f64 x (neg.f64 x)))
(.f64 2 (.f64 x x))
(/.f64 1/2 (/.f64 (/.f64 1/2 x) (+.f64 x x)))
(*.f64 x (-.f64 x (neg.f64 x)))
(.f64 2 (.f64 x x))
(/.f64 1/2 (/.f64 1 (/.f64 2 (/.f64 1/2 (*.f64 x x)))))
(*.f64 x (-.f64 x (neg.f64 x)))
(.f64 2 (.f64 x x))
(/.f64 1/2 (/.f64 -1 (-.f64 (.f64 (+.f64 x x) (neg.f64 x)) (.f64 x (+.f64 x x)))))
(*.f64 x (-.f64 x (neg.f64 x)))
(.f64 2 (.f64 x x))
(/.f64 2 (/.f64 (/.f64 1 x) x))
(*.f64 x (-.f64 x (neg.f64 x)))
(.f64 2 (.f64 x x))
(/.f64 (*.f64 (fabs.f64 x) 2) (/.f64 1 (fabs.f64 x)))
(*.f64 x (-.f64 x (neg.f64 x)))
(.f64 2 (.f64 x x))
(/.f64 (-.f64 (neg.f64 x) x) (/.f64 -1 x))
(*.f64 x (-.f64 x (neg.f64 x)))
(.f64 2 (.f64 x x))
(/.f64 (-.f64 x (*.f64 x 3)) (/.f64 -1 x))
(-.f64 (.f64 x (neg.f64 x)) (neg.f64 (.f64 x (*.f64 x 3))))
(-.f64 (.f64 3 (.f64 x x)) (neg.f64 (*.f64 x (neg.f64 x))))
(.f64 x (-.f64 (.f64 x 3) x))
(/.f64 (-.f64 0 (+.f64 x x)) (/.f64 -1 x))
(*.f64 x (-.f64 x (neg.f64 x)))
(.f64 2 (.f64 x x))
(/.f64 (*.f64 (neg.f64 x) (+.f64 x x)) -1)
(*.f64 x (-.f64 x (neg.f64 x)))
(.f64 2 (.f64 x x))
(/.f64 (/.f64 (+.f64 x x) 2) (/.f64 1/2 x))
(*.f64 x (-.f64 x (neg.f64 x)))
(.f64 2 (.f64 x x))
(/.f64 (neg.f64 (+.f64 x x)) (/.f64 -1 x))
(*.f64 x (-.f64 x (neg.f64 x)))
(.f64 2 (.f64 x x))
(/.f64 (*.f64 (-.f64 (neg.f64 x) x) x) -1)
(*.f64 x (-.f64 x (neg.f64 x)))
(.f64 2 (.f64 x x))
(neg.f64 (*.f64 (+.f64 x x) (neg.f64 x)))
(*.f64 x (-.f64 x (neg.f64 x)))
(.f64 2 (.f64 x x))
(fabs.f64 (*.f64 x (+.f64 x x)))
(*.f64 x (-.f64 x (neg.f64 x)))
(.f64 2 (.f64 x x))
(fabs.f64 (*.f64 (+.f64 x x) (neg.f64 x)))
(*.f64 x (-.f64 x (neg.f64 x)))
(.f64 2 (.f64 x x))
(+.f64 (.f64 x (.f64 x -6)) 0)
(.f64 x (.f64 x -6))
(.f64 -6 (.f64 x x))
(+.f64 (.f64 x (.f64 x -6)) (-.f64 x x))
(+.f64 (.f64 -6 (.f64 x x)) (-.f64 x x))
(+.f64 (.f64 x (.f64 x -6)) (*.f64 x (-.f64 x x)))
(.f64 x (+.f64 (.f64 x -6) (-.f64 x x)))
(.f64 x (-.f64 (.f64 x -6) (-.f64 x x)))
(+.f64 (.f64 x (.f64 x -6)) (/.f64 (-.f64 x x) -1/6))
(+.f64 (.f64 -6 (.f64 x x)) (*.f64 -6 (-.f64 x x)))
(+.f64 (.f64 x (.f64 x -6)) (.f64 (.f64 x -6) 0))
(.f64 x (.f64 x -6))
(.f64 -6 (.f64 x x))
(+.f64 0 (.f64 x (.f64 x -6)))
(.f64 x (.f64 x -6))
(.f64 -6 (.f64 x x))
(+.f64 (.f64 x (.f64 x 6)) (.f64 (.f64 x x) -12))
(.f64 x (+.f64 (.f64 x 6) (*.f64 x -12)))
(+.f64 (-.f64 x x) (.f64 x (.f64 x -6)))
(+.f64 (.f64 x (.f64 x -6)) (-.f64 x x))
(+.f64 (.f64 -6 (.f64 x x)) (-.f64 x x))
(+.f64 (.f64 (.f64 x x) -12) (.f64 x (.f64 x 6)))
(+.f64 (.f64 x (.f64 x 6)) (.f64 (.f64 x x) -12))
(.f64 x (+.f64 (.f64 x 6) (*.f64 x -12)))
(+.f64 (.f64 x (-.f64 x x)) (.f64 x (*.f64 x -6)))
(+.f64 (.f64 x (.f64 x -6)) (*.f64 x (-.f64 x x)))
(.f64 x (+.f64 (.f64 x -6) (-.f64 x x)))
(.f64 x (-.f64 (.f64 x -6) (-.f64 x x)))
(+.f64 (.f64 (.f64 (.f64 x x) -12) 2) (-.f64 0 (.f64 (*.f64 x x) -18)))
(+.f64 (.f64 2 (.f64 (.f64 x x) -12)) (neg.f64 (.f64 (*.f64 x x) -18)))
(-.f64 (.f64 (.f64 x x) -24) (.f64 (.f64 x x) -18))
(+.f64 (/.f64 (-.f64 x x) -1/6) (.f64 x (.f64 x -6)))
(+.f64 (.f64 x (.f64 x -6)) (/.f64 (-.f64 x x) -1/6))
(+.f64 (.f64 -6 (.f64 x x)) (*.f64 -6 (-.f64 x x)))
(+.f64 (.f64 (.f64 x (.f64 x -6)) 1/2) (.f64 1/2 (.f64 x (.f64 x -6))))
(.f64 x (.f64 x -6))
(.f64 -6 (.f64 x x))
(+.f64 (.f64 (+.f64 x x) (.f64 x -6)) (.f64 x (.f64 x 6)))
(+.f64 (.f64 x (.f64 x 6)) (.f64 (.f64 x x) -12))
(.f64 x (+.f64 (.f64 x 6) (*.f64 x -12)))
(-.f64 (.f64 x (.f64 x -6)) 0)
(.f64 x (.f64 x -6))
(.f64 -6 (.f64 x x))
(-.f64 (.f64 x (.f64 x -6)) (-.f64 x x))
(-.f64 x (-.f64 x (.f64 x (.f64 x -6))))
(-.f64 x (-.f64 x (.f64 -6 (.f64 x x))))
(-.f64 (.f64 x (.f64 x -6)) (*.f64 x (-.f64 x x)))
(+.f64 (.f64 x (.f64 x -6)) (*.f64 x (-.f64 x x)))
(.f64 x (+.f64 (.f64 x -6) (-.f64 x x)))
(.f64 x (-.f64 (.f64 x -6) (-.f64 x x)))
(-.f64 (.f64 x (.f64 x -6)) (/.f64 (-.f64 x x) -1/6))
(-.f64 (.f64 -6 (.f64 x x)) (*.f64 -6 (-.f64 x x)))
(-.f64 (.f64 x (.f64 x -6)) (.f64 (.f64 x -6) 0))
(.f64 x (.f64 x -6))
(.f64 -6 (.f64 x x))
(-.f64 (.f64 x (.f64 x -6)) (+.f64 (*.f64 x (-.f64 x x)) (-.f64 x x)))
(-.f64 (.f64 x (.f64 x -6)) (+.f64 (-.f64 x x) (*.f64 x (-.f64 x x))))
(-.f64 (.f64 -6 (.f64 x x)) (+.f64 (-.f64 x x) (*.f64 x (-.f64 x x))))
(-.f64 (.f64 x (.f64 x -6)) (+.f64 (.f64 x (-.f64 x x)) (.f64 x (-.f64 x x))))
(+.f64 (.f64 x (.f64 x -6)) (*.f64 x (-.f64 x x)))
(.f64 x (+.f64 (.f64 x -6) (-.f64 x x)))
(.f64 x (-.f64 (.f64 x -6) (-.f64 x x)))
(-.f64 0 (.f64 x (.f64 x 6)))
(.f64 x (.f64 x -6))
(.f64 -6 (.f64 x x))
(-.f64 (.f64 x (.f64 x 6)) (-.f64 0 (.f64 (.f64 x x) -12)))
(.f64 x (.f64 x -6))
(.f64 -6 (.f64 x x))
(-.f64 (.f64 x (.f64 x 6)) (/.f64 (.f64 (.f64 x x) -12) -1))
(.f64 x (.f64 x -6))
(.f64 -6 (.f64 x x))
(-.f64 (.f64 x (.f64 x 6)) (.f64 6 (.f64 x (+.f64 x x))))
(-.f64 (.f64 x (.f64 x 6)) (.f64 x (.f64 6 (+.f64 x x))))
(.f64 x (-.f64 (.f64 x 6) (*.f64 x 12)))
(-.f64 (.f64 x (.f64 x 6)) (.f64 -1 (.f64 (*.f64 x x) -12)))
(.f64 x (.f64 x -6))
(.f64 -6 (.f64 x x))
(-.f64 (-.f64 x x) (.f64 x (.f64 x 6)))
(-.f64 (-.f64 x x) (.f64 6 (.f64 x x)))
(-.f64 (.f64 (.f64 x x) -12) (.f64 x (.f64 x -6)))
(.f64 x (.f64 x -6))
(.f64 -6 (.f64 x x))
(-.f64 (.f64 x (-.f64 x x)) (.f64 x (*.f64 x 6)))
(.f64 x (-.f64 (-.f64 x x) (.f64 x 6)))
(-.f64 (.f64 (.f64 x x) -18) (.f64 (.f64 x x) -12))
(.f64 x (.f64 x -6))
(.f64 -6 (.f64 x x))
(-.f64 (.f64 (.f64 (.f64 x x) -12) 2) (.f64 (*.f64 x x) -18))
(+.f64 (.f64 2 (.f64 (.f64 x x) -12)) (neg.f64 (.f64 (*.f64 x x) -18)))
(-.f64 (.f64 (.f64 x x) -24) (.f64 (.f64 x x) -18))
(-.f64 (-.f64 (.f64 (.f64 (.f64 x x) -12) 2) (-.f64 x x)) (.f64 (*.f64 x x) -18))
(-.f64 (-.f64 (.f64 2 (.f64 (.f64 x x) -12)) (.f64 (*.f64 x x) -18)) (-.f64 x x))
(-.f64 x (-.f64 x (-.f64 (.f64 (.f64 x x) -24) (.f64 (.f64 x x) -18))))
(-.f64 (-.f64 (.f64 (.f64 (.f64 x x) -12) 2) (.f64 x (-.f64 x x))) (.f64 (.f64 x x) -18))
(-.f64 (-.f64 (.f64 2 (.f64 (.f64 x x) -12)) (.f64 (.f64 x x) -18)) (.f64 x (-.f64 x x)))
(-.f64 (-.f64 (.f64 (.f64 x x) -24) (.f64 (.f64 x x) -18)) (*.f64 x (-.f64 x x)))
(-.f64 (/.f64 (-.f64 x x) -1/6) (.f64 x (.f64 x 6)))
(-.f64 (.f64 -6 (-.f64 x x)) (.f64 6 (*.f64 x x)))
(-.f64 (/.f64 (/.f64 2 (/.f64 1/2 (.f64 x x))) -1/6) (/.f64 (.f64 x (*.f64 x 3)) -1/6))
(/.f64 (-.f64 (/.f64 (.f64 x x) 1/4) (.f64 x (*.f64 x 3))) -1/6)
(-.f64 (.f64 (.f64 x x) -24) (.f64 -6 (.f64 3 (*.f64 x x))))
(-.f64 (.f64 (-.f64 x x) 6) (.f64 x (*.f64 x 6)))
(-.f64 (/.f64 (-.f64 x x) -1/6) (.f64 x (.f64 x 6)))
(-.f64 (.f64 -6 (-.f64 x x)) (.f64 6 (*.f64 x x)))
(-.f64 (.f64 (+.f64 x x) (.f64 x -6)) (.f64 x (.f64 x -6)))
(.f64 x (.f64 x -6))
(.f64 -6 (.f64 x x))
(-.f64 (.f64 (/.f64 2 (/.f64 1/2 (.f64 x x))) -6) (.f64 (.f64 x x) -18))
(+.f64 (.f64 2 (.f64 (.f64 x x) -12)) (neg.f64 (.f64 (*.f64 x x) -18)))
(-.f64 (.f64 (.f64 x x) -24) (.f64 (.f64 x x) -18))
(-.f64 (.f64 (.f64 -6 (+.f64 x x)) x) (.f64 x (.f64 x -6)))
(.f64 x (.f64 x -6))
(.f64 -6 (.f64 x x))
(-.f64 (.f64 (+.f64 x (.f64 x 3)) (.f64 x -6)) (.f64 (.f64 x -6) (.f64 x 3)))
(.f64 (.f64 x -6) (-.f64 (+.f64 x (.f64 x 3)) (.f64 x 3)))
(.f64 (.f64 x 6) (-.f64 (.f64 x 3) (+.f64 x (.f64 x 3))))
(-.f64 (.f64 (.f64 (.f64 x x) -18) 1/2) (.f64 1/2 (.f64 x (.f64 x -6))))
(.f64 1/2 (-.f64 (.f64 (.f64 x x) -18) (.f64 x (*.f64 x -6))))
(-.f64 (.f64 (.f64 x x) -9) (.f64 x (.f64 x -3)))
(-.f64 (+.f64 (.f64 (.f64 (.f64 x x) -12) 2) (.f64 (.f64 (.f64 x x) -12) 2)) (+.f64 (.f64 (.f64 (.f64 x x) -12) 2) (.f64 (*.f64 x x) -18)))
(+.f64 (.f64 2 (.f64 (.f64 x x) -12)) (neg.f64 (.f64 (*.f64 x x) -18)))
(-.f64 (.f64 (.f64 x x) -24) (.f64 (.f64 x x) -18))
(/.f64 x (/.f64 (/.f64 1 x) -6))
(.f64 x (.f64 x -6))
(.f64 -6 (.f64 x x))
(/.f64 x (/.f64 1 (*.f64 x -6)))
(.f64 x (.f64 x -6))
(.f64 -6 (.f64 x x))
(/.f64 x (*.f64 (/.f64 1 x) -1/6))
(.f64 x (.f64 x -6))
(.f64 -6 (.f64 x x))
(/.f64 x (/.f64 -1 (*.f64 x 6)))
(.f64 x (.f64 x -6))
(.f64 -6 (.f64 x x))
(/.f64 (*.f64 x x) -1/6)
(.f64 x (.f64 x -6))
(.f64 -6 (.f64 x x))
(/.f64 -6 (/.f64 (/.f64 1 x) x))
(.f64 x (.f64 x -6))
(.f64 -6 (.f64 x x))
(/.f64 (.f64 x (.f64 x -6)) 1)
(.f64 x (.f64 x -6))
(.f64 -6 (.f64 x x))
(/.f64 1 (/.f64 -1/6 (*.f64 x x)))
(.f64 x (.f64 x -6))
(.f64 -6 (.f64 x x))
(/.f64 -1 (/.f64 1 (.f64 x (.f64 x 6))))
(.f64 x (.f64 x -6))
(.f64 -6 (.f64 x x))
(/.f64 (*.f64 x (neg.f64 x)) 1/6)
(.f64 x (.f64 x -6))
(.f64 -6 (.f64 x x))
(/.f64 (.f64 x (.f64 x 6)) -1)
(.f64 x (.f64 x -6))
(.f64 -6 (.f64 x x))
(/.f64 (neg.f64 x) (/.f64 (/.f64 -1 x) -6))
(.f64 x (.f64 x -6))
(.f64 -6 (.f64 x x))
(/.f64 (neg.f64 x) (/.f64 -1 (*.f64 x -6)))
(.f64 x (.f64 x -6))
(.f64 -6 (.f64 x x))
(/.f64 (neg.f64 x) (*.f64 (/.f64 -1 x) -1/6))
(.f64 x (.f64 x -6))
(.f64 -6 (.f64 x x))
(/.f64 (*.f64 x -6) (/.f64 1 x))
(.f64 x (.f64 x -6))
(.f64 -6 (.f64 x x))
(/.f64 6 (-.f64 0 (/.f64 (/.f64 1 x) x)))
(.f64 x (.f64 x -6))
(.f64 -6 (.f64 x x))
(/.f64 6 (/.f64 1 (*.f64 x (neg.f64 x))))
(.f64 x (.f64 x -6))
(.f64 -6 (.f64 x x))
(/.f64 1/2 (/.f64 (/.f64 1/2 (*.f64 x x)) -6))
(.f64 x (.f64 x -6))
(.f64 -6 (.f64 x x))
(/.f64 1/2 (/.f64 (/.f64 1/2 x) (*.f64 x -6)))
(.f64 x (.f64 x -6))
(.f64 -6 (.f64 x x))
(/.f64 1/2 (/.f64 (/.f64 (/.f64 1 x) x) -12))
(.f64 x (.f64 x -6))
(.f64 -6 (.f64 x x))
(/.f64 1/2 (/.f64 1 (.f64 (.f64 x x) -12)))
(.f64 x (.f64 x -6))
(.f64 -6 (.f64 x x))
(/.f64 1/2 (/.f64 -1 (+.f64 (.f64 x (.f64 x 6)) (.f64 x (.f64 x 6)))))
(.f64 x (.f64 x -6))
(.f64 -6 (.f64 x x))
(/.f64 (fabs.f64 x) (/.f64 (/.f64 1 (fabs.f64 x)) -6))
(.f64 x (.f64 x -6))
(.f64 -6 (.f64 x x))
(/.f64 (fabs.f64 x) (*.f64 (/.f64 1 (fabs.f64 x)) -1/6))
(.f64 x (.f64 x -6))
(.f64 -6 (.f64 x x))
(/.f64 -3 (/.f64 1/2 (*.f64 x x)))
(.f64 x (.f64 x -6))
(.f64 -6 (.f64 x x))
(/.f64 (*.f64 -6 (fabs.f64 x)) (/.f64 1 (fabs.f64 x)))
(.f64 x (.f64 x -6))
(.f64 -6 (.f64 x x))
(/.f64 -12 (/.f64 (/.f64 (/.f64 1 x) x) 1/2))
(.f64 x (.f64 x -6))
(.f64 -6 (.f64 x x))
(/.f64 (*.f64 x 6) (/.f64 -1 x))
(.f64 x (.f64 x -6))
(.f64 -6 (.f64 x x))
(/.f64 (/.f64 (neg.f64 x) -1/6) (/.f64 -1 x))
(.f64 x (.f64 x -6))
(.f64 -6 (.f64 x x))
(/.f64 (/.f64 (fabs.f64 x) -1/6) (/.f64 1 (fabs.f64 x)))
(.f64 x (.f64 x -6))
(.f64 -6 (.f64 x x))
(/.f64 (/.f64 (*.f64 x -6) 2) (/.f64 1/2 x))
(.f64 x (.f64 x -6))
(.f64 -6 (.f64 x x))
(/.f64 (neg.f64 (*.f64 x -6)) (/.f64 -1 x))
(.f64 x (.f64 x -6))
(.f64 -6 (.f64 x x))
(neg.f64 (.f64 x (.f64 x 6)))
(.f64 x (.f64 x -6))
(.f64 -6 (.f64 x x))

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 (sqrt.f64 2) (/.f64 -1 x))

Compiler

Compiled 15 to 12 computations (20% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite69.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1518×	`rational.json-1`
858×	`rational.json-simplify-13`
620×	`rational.json-simplify-5`
600×	`rational.json-simplify-43`
580×	`rational.json-simplify-14`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	59	15
2	216	15
3	1061	15
4	7706	15

Stop Event

1×	node limit

Counts

1 → 112

Calls

Call 1

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

Outputs

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

simplify61.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1172×	`rational.json-simplify-13`
996×	`rational.json-simplify-43`
872×	`rational.json-simplify-14`
820×	`rational.json-simplify-28`
732×	`rational.json-simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	220	2318
1	697	2290
2	2737	2084

Stop Event

1×	node limit

Counts

124 → 123

Calls

Call 1

Inputs
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(+.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) 0)
(+.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) (-.f64 x x))
(+.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 (sqrt.f64 2) 0))
(+.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 (sqrt.f64 2) (-.f64 x x)))
(+.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (+.f64 (.f64 (sqrt.f64 2) 0) (-.f64 x x)))
(+.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (+.f64 (-.f64 x x) (.f64 (sqrt.f64 2) 0)))
(+.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (+.f64 0 (+.f64 (.f64 (sqrt.f64 2) 0) (-.f64 x x))))
(+.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (+.f64 0 (+.f64 (-.f64 x x) (.f64 (sqrt.f64 2) 0))))
(+.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (+.f64 (-.f64 x x) (+.f64 (.f64 (sqrt.f64 2) 0) (-.f64 x x))))
(+.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (+.f64 (-.f64 x x) (+.f64 (-.f64 x x) (.f64 (sqrt.f64 2) 0))))
(+.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (+.f64 (.f64 (sqrt.f64 2) 0) (+.f64 (*.f64 (sqrt.f64 2) 0) (-.f64 x x))))
(+.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (+.f64 (.f64 (sqrt.f64 2) 0) (+.f64 (-.f64 x x) (*.f64 (sqrt.f64 2) 0))))
(+.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (-.f64 (+.f64 (.f64 (sqrt.f64 2) 0) (-.f64 x x)) (-.f64 x x)))
(+.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (-.f64 (+.f64 (-.f64 x x) (.f64 (sqrt.f64 2) 0)) (-.f64 x x)))
(+.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (-.f64 (+.f64 (.f64 (sqrt.f64 2) 0) (-.f64 x x)) (*.f64 (sqrt.f64 2) 0)))
(+.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (-.f64 (+.f64 (-.f64 x x) (.f64 (sqrt.f64 2) 0)) (*.f64 (sqrt.f64 2) 0)))
(+.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (-.f64 (+.f64 (.f64 (sqrt.f64 2) 0) (-.f64 x x)) (*.f64 (sqrt.f64 2) (-.f64 x x))))
(+.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (-.f64 (+.f64 (-.f64 x x) (.f64 (sqrt.f64 2) 0)) (*.f64 (sqrt.f64 2) (-.f64 x x))))
(+.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 1 (+.f64 (*.f64 (sqrt.f64 2) 0) (-.f64 x x))))
(+.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 1 (+.f64 (-.f64 x x) (*.f64 (sqrt.f64 2) 0))))
(+.f64 0 (*.f64 (sqrt.f64 2) (neg.f64 x)))
(+.f64 (-.f64 x x) (*.f64 (sqrt.f64 2) (neg.f64 x)))
(+.f64 (.f64 (sqrt.f64 2) 0) (.f64 (sqrt.f64 2) (neg.f64 x)))
(+.f64 (.f64 (sqrt.f64 2) x) (.f64 (sqrt.f64 2) (*.f64 x -2)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x -2)) (*.f64 (sqrt.f64 2) x))
(+.f64 (.f64 (sqrt.f64 2) (-.f64 x x)) (.f64 (sqrt.f64 2) (neg.f64 x)))
(+.f64 (+.f64 (.f64 (sqrt.f64 2) 0) (-.f64 x x)) (.f64 (sqrt.f64 2) (neg.f64 x)))
(+.f64 (+.f64 (-.f64 x x) (.f64 (sqrt.f64 2) 0)) (.f64 (sqrt.f64 2) (neg.f64 x)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x -1/2)) (.f64 (sqrt.f64 2) (.f64 x -1/2)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x -1/2)) (+.f64 0 (.f64 (sqrt.f64 2) (.f64 x -1/2))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x -1/2)) (.f64 (.f64 (sqrt.f64 2) -1/2) x))
(+.f64 (.f64 (.f64 2 (sqrt.f64 2)) (.f64 x -2)) (-.f64 0 (.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) 3)))
(+.f64 (.f64 (.f64 2 (sqrt.f64 2)) (.f64 x -2)) (-.f64 (-.f64 x x) (.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) 3)))
(+.f64 (.f64 (.f64 2 (sqrt.f64 2)) (.f64 x -2)) (-.f64 (.f64 (sqrt.f64 2) 0) (.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) 3)))
(+.f64 (.f64 (.f64 (sqrt.f64 2) 1/2) (neg.f64 x)) (.f64 (sqrt.f64 2) (.f64 x -1/2)))
(+.f64 (.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) 1/2) (.f64 (sqrt.f64 2) (.f64 x -1/2)))
(-.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) 0)
(-.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) (-.f64 x x))
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 (sqrt.f64 2) 0))
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 (sqrt.f64 2) (-.f64 x x)))
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (+.f64 (.f64 (sqrt.f64 2) 0) (-.f64 x x)))
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (+.f64 (-.f64 x x) (.f64 (sqrt.f64 2) 0)))
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (+.f64 (.f64 (sqrt.f64 2) (-.f64 x x)) (-.f64 x x)))
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (+.f64 (.f64 (sqrt.f64 2) (-.f64 x x)) (*.f64 (sqrt.f64 2) 0)))
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (+.f64 (.f64 (sqrt.f64 2) (-.f64 x x)) (*.f64 (sqrt.f64 2) (-.f64 x x))))
(-.f64 0 (*.f64 (sqrt.f64 2) x))
(-.f64 (-.f64 x x) (*.f64 (sqrt.f64 2) x))
(-.f64 (.f64 (sqrt.f64 2) 0) (.f64 (sqrt.f64 2) x))
(-.f64 (.f64 (sqrt.f64 2) x) (.f64 x (*.f64 2 (sqrt.f64 2))))
(-.f64 (.f64 (sqrt.f64 2) x) (-.f64 0 (.f64 (sqrt.f64 2) (*.f64 x -2))))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x -2)) (*.f64 (sqrt.f64 2) (neg.f64 x)))
(-.f64 (.f64 (sqrt.f64 2) (-.f64 x x)) (.f64 (sqrt.f64 2) x))
(-.f64 (+.f64 (.f64 (sqrt.f64 2) 0) (-.f64 x x)) (.f64 (sqrt.f64 2) x))
(-.f64 (+.f64 (-.f64 x x) (.f64 (sqrt.f64 2) 0)) (.f64 (sqrt.f64 2) x))
(-.f64 (.f64 (.f64 2 (sqrt.f64 2)) (.f64 x -2)) (.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) 3))
(-.f64 (.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) 3) (.f64 (sqrt.f64 2) (.f64 x -2)))
(-.f64 (-.f64 (.f64 (.f64 2 (sqrt.f64 2)) (.f64 x -2)) (.f64 (sqrt.f64 2) (-.f64 x x))) (.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) 3))
(-.f64 (+.f64 (-.f64 x x) (.f64 (.f64 2 (sqrt.f64 2)) (.f64 x -2))) (.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) 3))
(-.f64 (+.f64 (.f64 (sqrt.f64 2) 0) (.f64 (.f64 2 (sqrt.f64 2)) (.f64 x -2))) (.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) 3))
(-.f64 (/.f64 (.f64 (sqrt.f64 2) 3) (/.f64 -2 x)) (.f64 (sqrt.f64 2) (*.f64 x -1/2)))
(-.f64 (/.f64 (.f64 x 3) (/.f64 -2 (sqrt.f64 2))) (.f64 (sqrt.f64 2) (*.f64 x -1/2)))
(-.f64 (.f64 0 (/.f64 (sqrt.f64 2) -1/2)) (.f64 (sqrt.f64 2) x))
(-.f64 (.f64 (.f64 (.f64 2 (sqrt.f64 2)) 2) (neg.f64 x)) (.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) 3))
(-.f64 (.f64 (-.f64 x x) -1) (.f64 (sqrt.f64 2) x))
(-.f64 (.f64 (.f64 (sqrt.f64 2) 0) -1) (*.f64 (sqrt.f64 2) x))
(-.f64 (.f64 (.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) 3) 1/2) (.f64 (sqrt.f64 2) (*.f64 x -1/2)))
(-.f64 (.f64 (.f64 (sqrt.f64 2) 3) (.f64 x -1/2)) (.f64 (sqrt.f64 2) (*.f64 x -1/2)))
(-.f64 (.f64 (/.f64 x 1/4) (neg.f64 (sqrt.f64 2))) (.f64 (neg.f64 (sqrt.f64 2)) (*.f64 x 3)))
(-.f64 (.f64 (.f64 x 3) (.f64 (sqrt.f64 2) -1/2)) (.f64 (*.f64 (sqrt.f64 2) -1/2) x))
(-.f64 (+.f64 (.f64 (.f64 2 (sqrt.f64 2)) (.f64 x -2)) (.f64 (.f64 2 (sqrt.f64 2)) (.f64 x -2))) (+.f64 (.f64 (.f64 2 (sqrt.f64 2)) (.f64 x -2)) (.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) 3)))
(.f64 2 (.f64 (sqrt.f64 2) (*.f64 x -1/2)))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) 1)
(.f64 1 (.f64 (sqrt.f64 2) (neg.f64 x)))
(*.f64 (neg.f64 x) (sqrt.f64 2))
(.f64 (neg.f64 x) (/.f64 (.f64 (sqrt.f64 2) -1/2) -1/2))
(.f64 (.f64 2 (sqrt.f64 2)) (*.f64 x -1/2))
(.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 x -2)))
(.f64 (.f64 x -1/2) (*.f64 2 (sqrt.f64 2)))
(.f64 (.f64 x -1/2) (/.f64 1/2 (*.f64 1/2 (/.f64 1/2 (sqrt.f64 2)))))
(.f64 -2 (/.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 2) x))))
(*.f64 (neg.f64 (sqrt.f64 2)) x)
(.f64 (.f64 (sqrt.f64 2) x) -1)
(.f64 (.f64 (sqrt.f64 2) -1/2) (+.f64 x x))
(*.f64 -1/4 (/.f64 (+.f64 x x) (/.f64 1/2 (sqrt.f64 2))))
(.f64 -1/4 (/.f64 (.f64 2 (sqrt.f64 2)) (/.f64 1/2 x)))
(.f64 -1/4 (.f64 (*.f64 2 (sqrt.f64 2)) (+.f64 x x)))
(.f64 -1/2 (.f64 x (*.f64 2 (sqrt.f64 2))))
(.f64 -1/2 (-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) 3)))
(.f64 -1/2 (-.f64 0 (.f64 (sqrt.f64 2) (*.f64 x -2))))
(*.f64 -1/2 (/.f64 (/.f64 (sqrt.f64 2) -1/2) (/.f64 -1 x)))
(.f64 (.f64 (sqrt.f64 2) (*.f64 x -2)) 1/2)
(.f64 (+.f64 x x) (.f64 (sqrt.f64 2) -1/2))
(.f64 (.f64 x -2) (*.f64 (sqrt.f64 2) 1/2))
(.f64 (.f64 x 1/2) (/.f64 (sqrt.f64 2) -1/2))
(.f64 (.f64 x 1/2) (/.f64 -1 (/.f64 1/2 (sqrt.f64 2))))
(*.f64 (/.f64 x 1/4) (/.f64 1/2 (/.f64 -2 (sqrt.f64 2))))
(.f64 (/.f64 (sqrt.f64 2) -1/2) (.f64 x 1/2))
(.f64 (/.f64 x -4) (.f64 (*.f64 2 (sqrt.f64 2)) 2))
(*.f64 (/.f64 x -4) (/.f64 2 (/.f64 1/2 (sqrt.f64 2))))
(.f64 (.f64 (sqrt.f64 2) 1/2) (*.f64 x -2))
(.f64 (.f64 (sqrt.f64 2) 1/2) (-.f64 x (*.f64 x 3)))
(.f64 (.f64 (sqrt.f64 2) (*.f64 x -1/2)) 2)
(.f64 (.f64 x (*.f64 2 (sqrt.f64 2))) -1/2)
(.f64 (.f64 (*.f64 2 (sqrt.f64 2)) 2) (/.f64 x -4))
(.f64 (.f64 (.f64 2 (sqrt.f64 2)) 2) (.f64 (*.f64 x -1/2) 1/2))
(.f64 (.f64 (.f64 2 (sqrt.f64 2)) 2) (-.f64 (.f64 x -1/2) (/.f64 x -4)))
(*.f64 (+.f64 (/.f64 (sqrt.f64 2) -1/2) (/.f64 (sqrt.f64 2) -1/2)) (/.f64 1/2 (neg.f64 (/.f64 -2 x))))
(.f64 (+.f64 (.f64 x (.f64 2 (sqrt.f64 2))) (.f64 x (*.f64 2 (sqrt.f64 2)))) -1/4)
(neg.f64 (*.f64 (sqrt.f64 2) x))

Outputs
(.f64 -1 (.f64 (sqrt.f64 2) x))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(+.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) 0)
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(+.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) (-.f64 x x))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(+.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 (sqrt.f64 2) 0))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(+.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 (sqrt.f64 2) (-.f64 x x)))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(+.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (+.f64 (.f64 (sqrt.f64 2) 0) (-.f64 x x)))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(+.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (+.f64 (-.f64 x x) (.f64 (sqrt.f64 2) 0)))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(+.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (+.f64 0 (+.f64 (.f64 (sqrt.f64 2) 0) (-.f64 x x))))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(+.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (+.f64 0 (+.f64 (-.f64 x x) (.f64 (sqrt.f64 2) 0))))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(+.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (+.f64 (-.f64 x x) (+.f64 (.f64 (sqrt.f64 2) 0) (-.f64 x x))))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(+.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (+.f64 (-.f64 x x) (+.f64 (-.f64 x x) (.f64 (sqrt.f64 2) 0))))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(+.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (+.f64 (.f64 (sqrt.f64 2) 0) (+.f64 (*.f64 (sqrt.f64 2) 0) (-.f64 x x))))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(+.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (+.f64 (.f64 (sqrt.f64 2) 0) (+.f64 (-.f64 x x) (*.f64 (sqrt.f64 2) 0))))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(+.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (-.f64 (+.f64 (.f64 (sqrt.f64 2) 0) (-.f64 x x)) (-.f64 x x)))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(+.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (-.f64 (+.f64 (-.f64 x x) (.f64 (sqrt.f64 2) 0)) (-.f64 x x)))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(+.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (-.f64 (+.f64 (.f64 (sqrt.f64 2) 0) (-.f64 x x)) (*.f64 (sqrt.f64 2) 0)))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(+.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (-.f64 (+.f64 (-.f64 x x) (.f64 (sqrt.f64 2) 0)) (*.f64 (sqrt.f64 2) 0)))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(+.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (-.f64 (+.f64 (.f64 (sqrt.f64 2) 0) (-.f64 x x)) (*.f64 (sqrt.f64 2) (-.f64 x x))))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(+.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (-.f64 (+.f64 (-.f64 x x) (.f64 (sqrt.f64 2) 0)) (*.f64 (sqrt.f64 2) (-.f64 x x))))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(+.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 1 (+.f64 (*.f64 (sqrt.f64 2) 0) (-.f64 x x))))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(+.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 1 (+.f64 (-.f64 x x) (*.f64 (sqrt.f64 2) 0))))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(+.f64 0 (*.f64 (sqrt.f64 2) (neg.f64 x)))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(+.f64 (-.f64 x x) (*.f64 (sqrt.f64 2) (neg.f64 x)))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(+.f64 (.f64 (sqrt.f64 2) 0) (.f64 (sqrt.f64 2) (neg.f64 x)))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(+.f64 (.f64 (sqrt.f64 2) x) (.f64 (sqrt.f64 2) (*.f64 x -2)))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x -2)) (*.f64 (sqrt.f64 2) x))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(+.f64 (.f64 (sqrt.f64 2) (-.f64 x x)) (.f64 (sqrt.f64 2) (neg.f64 x)))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(+.f64 (+.f64 (.f64 (sqrt.f64 2) 0) (-.f64 x x)) (.f64 (sqrt.f64 2) (neg.f64 x)))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(+.f64 (+.f64 (-.f64 x x) (.f64 (sqrt.f64 2) 0)) (.f64 (sqrt.f64 2) (neg.f64 x)))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x -1/2)) (.f64 (sqrt.f64 2) (.f64 x -1/2)))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x -1/2)) (+.f64 0 (.f64 (sqrt.f64 2) (.f64 x -1/2))))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x -1/2)) (.f64 (.f64 (sqrt.f64 2) -1/2) x))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(+.f64 (.f64 (.f64 2 (sqrt.f64 2)) (.f64 x -2)) (-.f64 0 (.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) 3)))
(+.f64 (.f64 x (.f64 (.f64 2 (sqrt.f64 2)) -2)) (neg.f64 (.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) 3)))
(-.f64 (.f64 2 (.f64 (sqrt.f64 2) (.f64 x -2))) (.f64 (sqrt.f64 2) (*.f64 3 (neg.f64 x))))
(.f64 (sqrt.f64 2) (-.f64 (.f64 x 3) (*.f64 4 x)))
(+.f64 (.f64 (.f64 2 (sqrt.f64 2)) (.f64 x -2)) (-.f64 (-.f64 x x) (.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) 3)))
(+.f64 (-.f64 x x) (-.f64 (.f64 x (.f64 (.f64 2 (sqrt.f64 2)) -2)) (.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) 3)))
(+.f64 (-.f64 x x) (-.f64 (.f64 2 (.f64 (sqrt.f64 2) (.f64 x -2))) (.f64 (sqrt.f64 2) (*.f64 3 (neg.f64 x)))))
(+.f64 (-.f64 x x) (.f64 (sqrt.f64 2) (-.f64 (.f64 x 3) (*.f64 4 x))))
(+.f64 (.f64 (.f64 2 (sqrt.f64 2)) (.f64 x -2)) (-.f64 (.f64 (sqrt.f64 2) 0) (.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) 3)))
(+.f64 (.f64 x (.f64 (.f64 2 (sqrt.f64 2)) -2)) (neg.f64 (.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) 3)))
(-.f64 (.f64 2 (.f64 (sqrt.f64 2) (.f64 x -2))) (.f64 (sqrt.f64 2) (*.f64 3 (neg.f64 x))))
(.f64 (sqrt.f64 2) (-.f64 (.f64 x 3) (*.f64 4 x)))
(+.f64 (.f64 (.f64 (sqrt.f64 2) 1/2) (neg.f64 x)) (.f64 (sqrt.f64 2) (.f64 x -1/2)))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(+.f64 (.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) 1/2) (.f64 (sqrt.f64 2) (.f64 x -1/2)))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(-.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) 0)
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(-.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) (-.f64 x x))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 (sqrt.f64 2) 0))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 (sqrt.f64 2) (-.f64 x x)))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (+.f64 (.f64 (sqrt.f64 2) 0) (-.f64 x x)))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (+.f64 (-.f64 x x) (.f64 (sqrt.f64 2) 0)))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (+.f64 (.f64 (sqrt.f64 2) (-.f64 x x)) (-.f64 x x)))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (+.f64 (.f64 (sqrt.f64 2) (-.f64 x x)) (*.f64 (sqrt.f64 2) 0)))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (+.f64 (.f64 (sqrt.f64 2) (-.f64 x x)) (*.f64 (sqrt.f64 2) (-.f64 x x))))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(-.f64 0 (*.f64 (sqrt.f64 2) x))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(-.f64 (-.f64 x x) (*.f64 (sqrt.f64 2) x))
(-.f64 (.f64 (sqrt.f64 2) 0) (.f64 (sqrt.f64 2) x))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(-.f64 (.f64 (sqrt.f64 2) x) (.f64 x (*.f64 2 (sqrt.f64 2))))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(-.f64 (.f64 (sqrt.f64 2) x) (-.f64 0 (.f64 (sqrt.f64 2) (*.f64 x -2))))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x -2)) (*.f64 (sqrt.f64 2) (neg.f64 x)))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(-.f64 (.f64 (sqrt.f64 2) (-.f64 x x)) (.f64 (sqrt.f64 2) x))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(-.f64 (+.f64 (.f64 (sqrt.f64 2) 0) (-.f64 x x)) (.f64 (sqrt.f64 2) x))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(-.f64 (+.f64 (-.f64 x x) (.f64 (sqrt.f64 2) 0)) (.f64 (sqrt.f64 2) x))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 2)) (.f64 x -2)) (.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) 3))
(+.f64 (.f64 x (.f64 (.f64 2 (sqrt.f64 2)) -2)) (neg.f64 (.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) 3)))
(-.f64 (.f64 2 (.f64 (sqrt.f64 2) (.f64 x -2))) (.f64 (sqrt.f64 2) (*.f64 3 (neg.f64 x))))
(.f64 (sqrt.f64 2) (-.f64 (.f64 x 3) (*.f64 4 x)))
(-.f64 (.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) 3) (.f64 (sqrt.f64 2) (.f64 x -2)))
(-.f64 (.f64 (sqrt.f64 2) (.f64 3 (neg.f64 x))) (.f64 (sqrt.f64 2) (.f64 x -2)))
(.f64 x (-.f64 (.f64 3 (neg.f64 (sqrt.f64 2))) (*.f64 (sqrt.f64 2) -2)))
(-.f64 (-.f64 (.f64 (.f64 2 (sqrt.f64 2)) (.f64 x -2)) (.f64 (sqrt.f64 2) (-.f64 x x))) (.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) 3))
(-.f64 (-.f64 (.f64 x (.f64 (.f64 2 (sqrt.f64 2)) -2)) (.f64 (sqrt.f64 2) (-.f64 x x))) (.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) 3))
(-.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 2) (.f64 x -2))) (.f64 (sqrt.f64 2) (.f64 3 (neg.f64 x)))) (.f64 (sqrt.f64 2) (-.f64 x x)))
(-.f64 (.f64 (sqrt.f64 2) (-.f64 (.f64 x 3) (.f64 4 x))) (.f64 (sqrt.f64 2) (-.f64 x x)))
(-.f64 (+.f64 (-.f64 x x) (.f64 (.f64 2 (sqrt.f64 2)) (.f64 x -2))) (.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) 3))
(+.f64 (-.f64 x x) (-.f64 (.f64 x (.f64 (.f64 2 (sqrt.f64 2)) -2)) (.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) 3)))
(+.f64 (-.f64 x x) (-.f64 (.f64 2 (.f64 (sqrt.f64 2) (.f64 x -2))) (.f64 (sqrt.f64 2) (*.f64 3 (neg.f64 x)))))
(+.f64 (-.f64 x x) (.f64 (sqrt.f64 2) (-.f64 (.f64 x 3) (*.f64 4 x))))
(-.f64 (+.f64 (.f64 (sqrt.f64 2) 0) (.f64 (.f64 2 (sqrt.f64 2)) (.f64 x -2))) (.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) 3))
(+.f64 (.f64 x (.f64 (.f64 2 (sqrt.f64 2)) -2)) (neg.f64 (.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) 3)))
(-.f64 (.f64 2 (.f64 (sqrt.f64 2) (.f64 x -2))) (.f64 (sqrt.f64 2) (*.f64 3 (neg.f64 x))))
(.f64 (sqrt.f64 2) (-.f64 (.f64 x 3) (*.f64 4 x)))
(-.f64 (/.f64 (.f64 (sqrt.f64 2) 3) (/.f64 -2 x)) (.f64 (sqrt.f64 2) (*.f64 x -1/2)))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(-.f64 (/.f64 (.f64 x 3) (/.f64 -2 (sqrt.f64 2))) (.f64 (sqrt.f64 2) (*.f64 x -1/2)))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(-.f64 (.f64 0 (/.f64 (sqrt.f64 2) -1/2)) (.f64 (sqrt.f64 2) x))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(-.f64 (.f64 (.f64 (.f64 2 (sqrt.f64 2)) 2) (neg.f64 x)) (.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) 3))
(+.f64 (.f64 x (.f64 (.f64 2 (sqrt.f64 2)) -2)) (neg.f64 (.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) 3)))
(-.f64 (.f64 2 (.f64 (sqrt.f64 2) (.f64 x -2))) (.f64 (sqrt.f64 2) (*.f64 3 (neg.f64 x))))
(.f64 (sqrt.f64 2) (-.f64 (.f64 x 3) (*.f64 4 x)))
(-.f64 (.f64 (-.f64 x x) -1) (.f64 (sqrt.f64 2) x))
(-.f64 (-.f64 x x) (*.f64 (sqrt.f64 2) x))
(-.f64 (.f64 (.f64 (sqrt.f64 2) 0) -1) (*.f64 (sqrt.f64 2) x))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(-.f64 (.f64 (.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) 3) 1/2) (.f64 (sqrt.f64 2) (*.f64 x -1/2)))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(-.f64 (.f64 (.f64 (sqrt.f64 2) 3) (.f64 x -1/2)) (.f64 (sqrt.f64 2) (*.f64 x -1/2)))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(-.f64 (.f64 (/.f64 x 1/4) (neg.f64 (sqrt.f64 2))) (.f64 (neg.f64 (sqrt.f64 2)) (*.f64 x 3)))
(+.f64 (.f64 x (.f64 (.f64 2 (sqrt.f64 2)) -2)) (neg.f64 (.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) 3)))
(-.f64 (.f64 2 (.f64 (sqrt.f64 2) (.f64 x -2))) (.f64 (sqrt.f64 2) (*.f64 3 (neg.f64 x))))
(.f64 (sqrt.f64 2) (-.f64 (.f64 x 3) (*.f64 4 x)))
(-.f64 (.f64 (.f64 x 3) (.f64 (sqrt.f64 2) -1/2)) (.f64 (*.f64 (sqrt.f64 2) -1/2) x))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(-.f64 (+.f64 (.f64 (.f64 2 (sqrt.f64 2)) (.f64 x -2)) (.f64 (.f64 2 (sqrt.f64 2)) (.f64 x -2))) (+.f64 (.f64 (.f64 2 (sqrt.f64 2)) (.f64 x -2)) (.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) 3)))
(+.f64 (.f64 x (.f64 (.f64 2 (sqrt.f64 2)) -2)) (neg.f64 (.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) 3)))
(-.f64 (.f64 2 (.f64 (sqrt.f64 2) (.f64 x -2))) (.f64 (sqrt.f64 2) (*.f64 3 (neg.f64 x))))
(.f64 (sqrt.f64 2) (-.f64 (.f64 x 3) (*.f64 4 x)))
(.f64 2 (.f64 (sqrt.f64 2) (*.f64 x -1/2)))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) 1)
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(.f64 1 (.f64 (sqrt.f64 2) (neg.f64 x)))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(*.f64 (neg.f64 x) (sqrt.f64 2))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(.f64 (neg.f64 x) (/.f64 (.f64 (sqrt.f64 2) -1/2) -1/2))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(.f64 (.f64 2 (sqrt.f64 2)) (*.f64 x -1/2))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 x -2)))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(.f64 (.f64 x -1/2) (*.f64 2 (sqrt.f64 2)))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(.f64 (.f64 x -1/2) (/.f64 1/2 (*.f64 1/2 (/.f64 1/2 (sqrt.f64 2)))))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(.f64 -2 (/.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 2) x))))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(*.f64 (neg.f64 (sqrt.f64 2)) x)
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(.f64 (.f64 (sqrt.f64 2) x) -1)
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(.f64 (.f64 (sqrt.f64 2) -1/2) (+.f64 x x))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(*.f64 -1/4 (/.f64 (+.f64 x x) (/.f64 1/2 (sqrt.f64 2))))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(.f64 -1/4 (/.f64 (.f64 2 (sqrt.f64 2)) (/.f64 1/2 x)))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(.f64 -1/4 (.f64 (*.f64 2 (sqrt.f64 2)) (+.f64 x x)))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(.f64 -1/2 (.f64 x (*.f64 2 (sqrt.f64 2))))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(.f64 -1/2 (-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) 3)))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(.f64 -1/2 (-.f64 0 (.f64 (sqrt.f64 2) (*.f64 x -2))))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(*.f64 -1/2 (/.f64 (/.f64 (sqrt.f64 2) -1/2) (/.f64 -1 x)))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(.f64 (.f64 (sqrt.f64 2) (*.f64 x -2)) 1/2)
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(.f64 (+.f64 x x) (.f64 (sqrt.f64 2) -1/2))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(.f64 (.f64 x -2) (*.f64 (sqrt.f64 2) 1/2))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(.f64 (.f64 x 1/2) (/.f64 (sqrt.f64 2) -1/2))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(.f64 (.f64 x 1/2) (/.f64 -1 (/.f64 1/2 (sqrt.f64 2))))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(*.f64 (/.f64 x 1/4) (/.f64 1/2 (/.f64 -2 (sqrt.f64 2))))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(.f64 (/.f64 (sqrt.f64 2) -1/2) (.f64 x 1/2))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(.f64 (/.f64 x -4) (.f64 (*.f64 2 (sqrt.f64 2)) 2))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(*.f64 (/.f64 x -4) (/.f64 2 (/.f64 1/2 (sqrt.f64 2))))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(.f64 (.f64 (sqrt.f64 2) 1/2) (*.f64 x -2))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(.f64 (.f64 (sqrt.f64 2) 1/2) (-.f64 x (*.f64 x 3)))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(.f64 (.f64 (sqrt.f64 2) (*.f64 x -1/2)) 2)
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(.f64 (.f64 x (*.f64 2 (sqrt.f64 2))) -1/2)
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(.f64 (.f64 (*.f64 2 (sqrt.f64 2)) 2) (/.f64 x -4))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(.f64 (.f64 (.f64 2 (sqrt.f64 2)) 2) (.f64 (*.f64 x -1/2) 1/2))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(.f64 (.f64 (.f64 2 (sqrt.f64 2)) 2) (-.f64 (.f64 x -1/2) (/.f64 x -4)))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(*.f64 (+.f64 (/.f64 (sqrt.f64 2) -1/2) (/.f64 (sqrt.f64 2) -1/2)) (/.f64 1/2 (neg.f64 (/.f64 -2 x))))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(.f64 (+.f64 (.f64 x (.f64 2 (sqrt.f64 2))) (.f64 x (*.f64 2 (sqrt.f64 2)))) -1/4)
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (/.f64 (/.f64 1 x) (sqrt.f64 2)))
✓	0.5b	(/.f64 (/.f64 1 x) (sqrt.f64 2))

Compiler

Compiled 23 to 19 computations (17.4% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite122.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1006×	`rational.json-simplify-24`
838×	`rational.json-simplify-21`
700×	`rational.json-simplify-5`
642×	`rational.json-simplify-6`
628×	`rational.json-simplify-4`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	34
1	66	28
2	241	28
3	1399	28

Stop Event

1×	node limit

Counts

2 → 290

Calls

Call 1

Inputs
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (/.f64 (/.f64 1 x) (sqrt.f64 2)))

Outputs

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

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

simplify111.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1252×	`rational.json-simplify-1`
824×	`rational.json-simplify-24`
648×	`rational.json-simplify-41`
590×	`rational.json-simplify-50`
544×	`rational.json-simplify-63`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	535	5086
1	1705	4910
2	7424	4908

Stop Event

1×	node limit

Counts

314 → 314

Calls

Call 1

Inputs
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 2))) 0)
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 2))) (/.f64 0 (sqrt.f64 2)))
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 2))) (/.f64 0 x))
(+.f64 (/.f64 1 (.f64 x (sqrt.f64 2))) (/.f64 0 (.f64 x (sqrt.f64 2))))
(+.f64 (/.f64 1 (.f64 x (sqrt.f64 2))) (/.f64 0 (.f64 (sqrt.f64 2) 2)))
(+.f64 (/.f64 1 (.f64 x (sqrt.f64 2))) (+.f64 0 (/.f64 0 (.f64 (sqrt.f64 2) 2))))
(+.f64 (/.f64 1 (.f64 x (sqrt.f64 2))) (+.f64 (/.f64 0 (sqrt.f64 2)) (/.f64 0 (.f64 (sqrt.f64 2) 2))))
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 2))) (+.f64 (/.f64 0 (sqrt.f64 2)) (/.f64 0 x)))
(+.f64 (/.f64 1 (.f64 x (sqrt.f64 2))) (-.f64 0 (/.f64 0 (.f64 (sqrt.f64 2) 2))))
(+.f64 (/.f64 1 (.f64 x (sqrt.f64 2))) (-.f64 (/.f64 0 (sqrt.f64 2)) (/.f64 0 (.f64 (sqrt.f64 2) 2))))
(+.f64 (/.f64 1 (.f64 x (sqrt.f64 2))) (-.f64 (/.f64 0 (.f64 (sqrt.f64 2) 2)) (/.f64 0 (sqrt.f64 2))))
(+.f64 (/.f64 1 (.f64 x (sqrt.f64 2))) (-.f64 (/.f64 0 (.f64 (sqrt.f64 2) 2)) (/.f64 0 (*.f64 (sqrt.f64 2) 2))))
(+.f64 (/.f64 1 (.f64 x (sqrt.f64 2))) (-.f64 (/.f64 0 x) (/.f64 0 (.f64 (sqrt.f64 2) 2))))
(+.f64 (/.f64 1 (.f64 x (sqrt.f64 2))) (-.f64 (/.f64 0 (.f64 (sqrt.f64 2) 2)) (/.f64 0 x)))
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 2))) (-.f64 (/.f64 0 (sqrt.f64 2)) (/.f64 0 x)))
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 2))) (-.f64 (/.f64 0 x) (/.f64 0 (sqrt.f64 2))))
(+.f64 (/.f64 1 (.f64 x (sqrt.f64 2))) (/.f64 0 (.f64 (sqrt.f64 2) 1/2)))
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 2))) (/.f64 0 (/.f64 1 (/.f64 1/2 (sqrt.f64 2)))))
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 2))) (/.f64 (/.f64 (/.f64 0 (sqrt.f64 2)) 1/2) 2))
(+.f64 (/.f64 1 (.f64 x (sqrt.f64 2))) (.f64 1 (/.f64 0 (*.f64 (sqrt.f64 2) 2))))
(+.f64 (/.f64 1 (.f64 x (sqrt.f64 2))) (.f64 1/2 (/.f64 (/.f64 0 (sqrt.f64 2)) 1/2)))
(+.f64 (/.f64 1 (.f64 x (sqrt.f64 2))) (.f64 (/.f64 -1 x) 0))
(+.f64 (/.f64 1 (.f64 x (sqrt.f64 2))) (.f64 (neg.f64 (/.f64 1 (sqrt.f64 2))) 0))
(+.f64 0 (/.f64 1 (*.f64 x (sqrt.f64 2))))
(+.f64 (/.f64 0 (sqrt.f64 2)) (/.f64 1 (*.f64 x (sqrt.f64 2))))
(+.f64 (/.f64 -1 (*.f64 x (sqrt.f64 2))) (/.f64 (/.f64 2 x) (sqrt.f64 2)))
(+.f64 (/.f64 (/.f64 2 x) (sqrt.f64 2)) (/.f64 -1 (*.f64 x (sqrt.f64 2))))
(+.f64 (/.f64 1/2 (.f64 x (sqrt.f64 2))) (/.f64 1/2 (.f64 x (sqrt.f64 2))))
(+.f64 (/.f64 0 x) (/.f64 1 (*.f64 x (sqrt.f64 2))))
(+.f64 (/.f64 0 (.f64 x (sqrt.f64 2))) (/.f64 1 (.f64 x (sqrt.f64 2))))
(+.f64 (/.f64 0 (.f64 (sqrt.f64 2) 2)) (/.f64 1 (.f64 x (sqrt.f64 2))))
(+.f64 (/.f64 4 (*.f64 x (sqrt.f64 2))) (-.f64 0 (/.f64 (/.f64 3 x) (sqrt.f64 2))))
(+.f64 (/.f64 4 (*.f64 x (sqrt.f64 2))) (-.f64 (/.f64 0 (sqrt.f64 2)) (/.f64 (/.f64 3 x) (sqrt.f64 2))))
(+.f64 (/.f64 0 (.f64 (sqrt.f64 2) 1/2)) (/.f64 1 (.f64 x (sqrt.f64 2))))
(+.f64 (/.f64 (/.f64 1 x) (/.f64 1 (/.f64 1/2 (sqrt.f64 2)))) (/.f64 (/.f64 1 x) (/.f64 1 (/.f64 1/2 (sqrt.f64 2)))))
(+.f64 (/.f64 0 (/.f64 1 (/.f64 1/2 (sqrt.f64 2)))) (/.f64 1 (*.f64 x (sqrt.f64 2))))
(+.f64 (.f64 0 (/.f64 2 (sqrt.f64 2))) (/.f64 1 (.f64 x (sqrt.f64 2))))
(+.f64 (.f64 0 (/.f64 1 x)) (/.f64 1 (.f64 x (sqrt.f64 2))))
(+.f64 (.f64 0 (/.f64 2 x)) (/.f64 1 (.f64 x (sqrt.f64 2))))
(-.f64 (/.f64 1 (*.f64 x (sqrt.f64 2))) 0)
(-.f64 (/.f64 1 (*.f64 x (sqrt.f64 2))) (/.f64 0 (sqrt.f64 2)))
(-.f64 (/.f64 1 (*.f64 x (sqrt.f64 2))) (/.f64 0 x))
(-.f64 (/.f64 1 (.f64 x (sqrt.f64 2))) (/.f64 0 (.f64 x (sqrt.f64 2))))
(-.f64 (/.f64 1 (.f64 x (sqrt.f64 2))) (/.f64 0 (.f64 (sqrt.f64 2) 2)))
(-.f64 (/.f64 1 (*.f64 x (sqrt.f64 2))) (/.f64 (/.f64 0 (sqrt.f64 2)) 1/2))
(-.f64 (/.f64 1 (.f64 x (sqrt.f64 2))) (/.f64 0 (.f64 (sqrt.f64 2) 1/2)))
(-.f64 (/.f64 1 (*.f64 x (sqrt.f64 2))) (/.f64 (/.f64 0 (sqrt.f64 2)) 2))
(-.f64 (/.f64 1 (*.f64 x (sqrt.f64 2))) (/.f64 0 (/.f64 1 (/.f64 1/2 (sqrt.f64 2)))))
(-.f64 (/.f64 1 (*.f64 x (sqrt.f64 2))) (/.f64 (/.f64 (/.f64 0 (sqrt.f64 2)) 1/2) 2))
(-.f64 (/.f64 1 (.f64 x (sqrt.f64 2))) (.f64 1 (/.f64 0 (*.f64 (sqrt.f64 2) 2))))
(-.f64 (/.f64 1 (.f64 x (sqrt.f64 2))) (.f64 1/2 (/.f64 (/.f64 0 (sqrt.f64 2)) 1/2)))
(-.f64 (/.f64 1 (.f64 x (sqrt.f64 2))) (.f64 (/.f64 -1 x) 0))
(-.f64 (/.f64 1 (.f64 x (sqrt.f64 2))) (.f64 (neg.f64 (/.f64 1 (sqrt.f64 2))) 0))
(-.f64 0 (/.f64 -1 (*.f64 x (sqrt.f64 2))))
(-.f64 (/.f64 0 (sqrt.f64 2)) (/.f64 -1 (*.f64 x (sqrt.f64 2))))
(-.f64 (/.f64 -1 (*.f64 x (sqrt.f64 2))) (-.f64 0 (/.f64 (/.f64 2 x) (sqrt.f64 2))))
(-.f64 (/.f64 -1 (*.f64 x (sqrt.f64 2))) (-.f64 (/.f64 0 (sqrt.f64 2)) (/.f64 (/.f64 2 x) (sqrt.f64 2))))
(-.f64 (/.f64 -1 (*.f64 x (sqrt.f64 2))) (/.f64 (/.f64 2 x) (neg.f64 (sqrt.f64 2))))
(-.f64 (/.f64 -1 (*.f64 x (sqrt.f64 2))) (/.f64 (/.f64 (/.f64 2 x) (sqrt.f64 2)) -1))
(-.f64 (/.f64 -1 (.f64 x (sqrt.f64 2))) (.f64 -1 (/.f64 (/.f64 2 x) (sqrt.f64 2))))
(-.f64 (/.f64 -1 (.f64 x (sqrt.f64 2))) (.f64 (neg.f64 (/.f64 1 (sqrt.f64 2))) (/.f64 2 x)))
(-.f64 (/.f64 (/.f64 2 x) (sqrt.f64 2)) (/.f64 1 (*.f64 x (sqrt.f64 2))))
(-.f64 (/.f64 1/2 (.f64 x (sqrt.f64 2))) (/.f64 (/.f64 -1 x) (.f64 (sqrt.f64 2) 2)))
(-.f64 (/.f64 1/2 (*.f64 x (sqrt.f64 2))) (/.f64 (/.f64 1 (neg.f64 (sqrt.f64 2))) (+.f64 x x)))
(-.f64 (/.f64 1/2 (.f64 x (sqrt.f64 2))) (.f64 (/.f64 1/2 (sqrt.f64 2)) (/.f64 -1 x)))
(-.f64 (/.f64 1/2 (.f64 x (sqrt.f64 2))) (.f64 (/.f64 1/2 x) (/.f64 1 (neg.f64 (sqrt.f64 2)))))
(-.f64 (/.f64 0 x) (/.f64 -1 (*.f64 x (sqrt.f64 2))))
(-.f64 (/.f64 0 x) (/.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 x)))
(-.f64 (/.f64 0 (.f64 x (sqrt.f64 2))) (/.f64 -1 (.f64 x (sqrt.f64 2))))
(-.f64 (/.f64 (/.f64 3 x) (sqrt.f64 2)) (/.f64 (/.f64 2 x) (sqrt.f64 2)))
(-.f64 (/.f64 0 (.f64 (sqrt.f64 2) 2)) (/.f64 -1 (.f64 x (sqrt.f64 2))))
(-.f64 (/.f64 4 (*.f64 x (sqrt.f64 2))) (/.f64 (/.f64 3 x) (sqrt.f64 2)))
(-.f64 (-.f64 0 (/.f64 0 (.f64 (sqrt.f64 2) 2))) (/.f64 -1 (.f64 x (sqrt.f64 2))))
(-.f64 (-.f64 (/.f64 0 (sqrt.f64 2)) (/.f64 0 (.f64 (sqrt.f64 2) 2))) (/.f64 -1 (.f64 x (sqrt.f64 2))))
(-.f64 (-.f64 (/.f64 4 (.f64 x (sqrt.f64 2))) (/.f64 0 (.f64 x (sqrt.f64 2)))) (/.f64 (/.f64 3 x) (sqrt.f64 2)))
(-.f64 (-.f64 (/.f64 4 (.f64 x (sqrt.f64 2))) (/.f64 0 (.f64 (sqrt.f64 2) 2))) (/.f64 (/.f64 3 x) (sqrt.f64 2)))
(-.f64 (-.f64 (/.f64 4 (*.f64 x (sqrt.f64 2))) (/.f64 0 x)) (/.f64 (/.f64 3 x) (sqrt.f64 2)))
(-.f64 (-.f64 (/.f64 0 (sqrt.f64 2)) (/.f64 0 x)) (/.f64 -1 (*.f64 x (sqrt.f64 2))))
(-.f64 (+.f64 (/.f64 0 (sqrt.f64 2)) (/.f64 4 (*.f64 x (sqrt.f64 2)))) (/.f64 (/.f64 3 x) (sqrt.f64 2)))
(-.f64 (/.f64 (/.f64 3 x) (.f64 (sqrt.f64 2) 2)) (/.f64 1/2 (.f64 x (sqrt.f64 2))))
(-.f64 (/.f64 (/.f64 (/.f64 3 x) (sqrt.f64 2)) 2) (/.f64 1/2 (*.f64 x (sqrt.f64 2))))
(-.f64 (/.f64 0 (/.f64 (sqrt.f64 2) -1/2)) (/.f64 (/.f64 2 x) (/.f64 (sqrt.f64 2) -1/2)))
(-.f64 (/.f64 (/.f64 1 x) (/.f64 1 (/.f64 1/2 (sqrt.f64 2)))) (/.f64 (/.f64 -1 x) (/.f64 1 (/.f64 1/2 (sqrt.f64 2)))))
(-.f64 (/.f64 (/.f64 3 x) (/.f64 1 (/.f64 1/2 (sqrt.f64 2)))) (/.f64 (/.f64 1 x) (/.f64 1 (/.f64 1/2 (sqrt.f64 2)))))
(-.f64 (.f64 0 (neg.f64 (/.f64 1 (sqrt.f64 2)))) (.f64 (neg.f64 (/.f64 1 (sqrt.f64 2))) (/.f64 1 x)))
(-.f64 (.f64 0 (neg.f64 (/.f64 1/2 (sqrt.f64 2)))) (.f64 (neg.f64 (/.f64 1/2 (sqrt.f64 2))) (/.f64 2 x)))
(-.f64 (.f64 0 (/.f64 -1 x)) (/.f64 -1 (.f64 x (sqrt.f64 2))))
(-.f64 (.f64 (/.f64 4 (.f64 x (sqrt.f64 2))) 1/2) (/.f64 1 (*.f64 x (sqrt.f64 2))))
(-.f64 (*.f64 (/.f64 4 x) (/.f64 1 (sqrt.f64 2))) (/.f64 (/.f64 3 x) (sqrt.f64 2)))
(-.f64 (.f64 (/.f64 (/.f64 3 x) (sqrt.f64 2)) 1/2) (/.f64 1/2 (.f64 x (sqrt.f64 2))))
(-.f64 (.f64 (/.f64 3 x) (/.f64 1/2 (sqrt.f64 2))) (/.f64 1/2 (.f64 x (sqrt.f64 2))))
(-.f64 (.f64 (/.f64 0 (sqrt.f64 2)) -1) (/.f64 -1 (.f64 x (sqrt.f64 2))))
(-.f64 (.f64 0 (neg.f64 (/.f64 2 (sqrt.f64 2)))) (.f64 (neg.f64 (/.f64 2 (sqrt.f64 2))) (/.f64 1/2 x)))
(-.f64 (.f64 0 (neg.f64 (/.f64 2 x))) (.f64 (neg.f64 (/.f64 2 x)) (/.f64 1/2 (sqrt.f64 2))))
(.f64 1 (/.f64 1 (.f64 x (sqrt.f64 2))))
(*.f64 (/.f64 1 x) (/.f64 1 (sqrt.f64 2)))
(.f64 2 (/.f64 1/2 (.f64 x (sqrt.f64 2))))
(.f64 2 (.f64 (/.f64 2 x) (/.f64 1/2 (*.f64 (sqrt.f64 2) 2))))
(.f64 2 (.f64 (/.f64 2 (sqrt.f64 2)) (/.f64 1/2 (+.f64 x x))))
(.f64 (/.f64 1 (.f64 x (sqrt.f64 2))) 1)
(*.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 x))
(*.f64 1/2 (/.f64 (/.f64 2 x) (sqrt.f64 2)))
(*.f64 (/.f64 1/2 x) (/.f64 2 (sqrt.f64 2)))
(*.f64 (/.f64 2 x) (/.f64 1/2 (sqrt.f64 2)))
(*.f64 (/.f64 1/2 (sqrt.f64 2)) (/.f64 2 x))
(*.f64 (/.f64 2 (sqrt.f64 2)) (/.f64 1/2 x))
(.f64 -1 (/.f64 -1 (.f64 x (sqrt.f64 2))))
(.f64 -1 (.f64 (/.f64 2 x) (/.f64 1/2 (neg.f64 (sqrt.f64 2)))))
(.f64 -1 (.f64 (/.f64 2 (sqrt.f64 2)) (/.f64 1/2 (neg.f64 x))))
(*.f64 (/.f64 -1 x) (neg.f64 (/.f64 1 (sqrt.f64 2))))
(.f64 (/.f64 -1 (.f64 x (sqrt.f64 2))) -1)
(.f64 -1/2 (.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 (/.f64 2 x))))
(.f64 -1/2 (.f64 (/.f64 2 x) (neg.f64 (/.f64 1 (sqrt.f64 2)))))
(.f64 -1/2 (.f64 (/.f64 2 (sqrt.f64 2)) (/.f64 -1 x)))
(*.f64 (neg.f64 (/.f64 1 (sqrt.f64 2))) (/.f64 -1 x))
(*.f64 (/.f64 (/.f64 2 x) (sqrt.f64 2)) 1/2)
(.f64 (/.f64 1/2 (.f64 x (sqrt.f64 2))) 2)
(.f64 4 (.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1/2 (+.f64 x x))))
(.f64 4 (.f64 (/.f64 1/2 x) (/.f64 1/2 (sqrt.f64 2))))
(.f64 4 (.f64 (/.f64 1/2 (sqrt.f64 2)) (/.f64 1/2 x)))
(.f64 -2 (.f64 (/.f64 1 x) (neg.f64 (/.f64 1/2 (sqrt.f64 2)))))
(.f64 -2 (.f64 (/.f64 1 x) (/.f64 1/2 (neg.f64 (sqrt.f64 2)))))
(.f64 -2 (.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 (/.f64 1/2 x))))
(.f64 -2 (.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1/2 (neg.f64 x))))
(*.f64 (neg.f64 (/.f64 2 (sqrt.f64 2))) (neg.f64 (/.f64 1/2 x)))
(*.f64 (neg.f64 (/.f64 2 (sqrt.f64 2))) (/.f64 1/2 (neg.f64 x)))
(.f64 (neg.f64 (/.f64 2 (sqrt.f64 2))) (.f64 1 (neg.f64 (/.f64 1/2 x))))
(.f64 (neg.f64 (/.f64 2 (sqrt.f64 2))) (.f64 1 (/.f64 1/2 (neg.f64 x))))
(*.f64 (neg.f64 (/.f64 2 x)) (neg.f64 (/.f64 1/2 (sqrt.f64 2))))
(*.f64 (neg.f64 (/.f64 2 x)) (/.f64 1/2 (neg.f64 (sqrt.f64 2))))
(.f64 (neg.f64 (/.f64 2 x)) (.f64 1 (neg.f64 (/.f64 1/2 (sqrt.f64 2)))))
(.f64 (neg.f64 (/.f64 2 x)) (.f64 1 (/.f64 1/2 (neg.f64 (sqrt.f64 2)))))
(.f64 (neg.f64 (/.f64 2 x)) (.f64 (/.f64 1 (sqrt.f64 2)) -1/2))
(*.f64 (neg.f64 (/.f64 1/2 (sqrt.f64 2))) (neg.f64 (/.f64 2 x)))
(.f64 (/.f64 4 x) (.f64 (/.f64 1 (sqrt.f64 2)) 1/4))
(.f64 (/.f64 4 x) (/.f64 1/2 (.f64 (sqrt.f64 2) 2)))
(.f64 (/.f64 4 x) (.f64 1 (/.f64 1/2 (*.f64 (sqrt.f64 2) 2))))
(.f64 (/.f64 4 x) (-.f64 (/.f64 1/2 (sqrt.f64 2)) (/.f64 1/2 (.f64 (sqrt.f64 2) 2))))
(.f64 (+.f64 (/.f64 -1 (.f64 x (sqrt.f64 2))) (/.f64 -1 (*.f64 x (sqrt.f64 2)))) -1/2)
(neg.f64 (/.f64 -1 (*.f64 x (sqrt.f64 2))))
(+.f64 (*.f64 x (sqrt.f64 2)) 0)
(+.f64 (*.f64 x (sqrt.f64 2)) (-.f64 x x))
(+.f64 (.f64 x (sqrt.f64 2)) (.f64 x (*.f64 (sqrt.f64 2) 0)))
(+.f64 (*.f64 x (sqrt.f64 2)) (/.f64 0 (/.f64 2 (sqrt.f64 2))))
(+.f64 (*.f64 x (sqrt.f64 2)) (/.f64 0 (/.f64 2 x)))
(+.f64 (.f64 x (sqrt.f64 2)) (.f64 (sqrt.f64 2) 0))
(+.f64 (.f64 x (sqrt.f64 2)) (+.f64 (-.f64 x x) (.f64 (sqrt.f64 2) 0)))
(+.f64 (.f64 x (sqrt.f64 2)) (+.f64 (.f64 (sqrt.f64 2) 0) (-.f64 x x)))
(+.f64 (.f64 x (sqrt.f64 2)) (+.f64 (.f64 (sqrt.f64 2) 0) (*.f64 (sqrt.f64 2) 0)))
(+.f64 (.f64 x (sqrt.f64 2)) (-.f64 (.f64 (sqrt.f64 2) (.f64 x 1/2)) (.f64 (sqrt.f64 2) (*.f64 x 1/2))))
(+.f64 (.f64 x (sqrt.f64 2)) (-.f64 (-.f64 x x) (.f64 (sqrt.f64 2) 0)))
(+.f64 (.f64 x (sqrt.f64 2)) (-.f64 (.f64 (sqrt.f64 2) 0) (-.f64 x x)))
(+.f64 (.f64 x (sqrt.f64 2)) (/.f64 0 (/.f64 1/2 (.f64 (sqrt.f64 2) 1/2))))
(+.f64 (*.f64 x (sqrt.f64 2)) (/.f64 (/.f64 0 (/.f64 2 (sqrt.f64 2))) 1/2))
(+.f64 (*.f64 x (sqrt.f64 2)) (/.f64 0 (neg.f64 (/.f64 1 (sqrt.f64 2)))))
(+.f64 (*.f64 x (sqrt.f64 2)) (/.f64 0 (/.f64 -1 (sqrt.f64 2))))
(+.f64 (.f64 x (sqrt.f64 2)) (/.f64 0 (/.f64 -1/2 (.f64 (sqrt.f64 2) 1/2))))
(+.f64 (*.f64 x (sqrt.f64 2)) (/.f64 0 (/.f64 1/2 (sqrt.f64 2))))
(+.f64 (.f64 x (sqrt.f64 2)) (.f64 (neg.f64 (sqrt.f64 2)) 0))
(+.f64 (.f64 x (sqrt.f64 2)) (.f64 2 (/.f64 0 (/.f64 2 (sqrt.f64 2)))))
(+.f64 (.f64 x (sqrt.f64 2)) (.f64 2 (/.f64 0 (/.f64 2 x))))
(+.f64 (.f64 x (sqrt.f64 2)) (.f64 (*.f64 (sqrt.f64 2) 1/2) 0))
(+.f64 0 (*.f64 x (sqrt.f64 2)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 1/2)) (.f64 (sqrt.f64 2) (.f64 x 1/2)))
(+.f64 (-.f64 x x) (*.f64 x (sqrt.f64 2)))
(+.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 x (*.f64 2 (sqrt.f64 2))))
(+.f64 (.f64 x (.f64 2 (sqrt.f64 2))) (*.f64 (sqrt.f64 2) (neg.f64 x)))
(+.f64 (.f64 x (.f64 2 (sqrt.f64 2))) (/.f64 (neg.f64 x) (/.f64 1/2 (*.f64 (sqrt.f64 2) 1/2))))
(+.f64 (.f64 x (.f64 (sqrt.f64 2) 0)) (*.f64 x (sqrt.f64 2)))
(+.f64 (/.f64 0 (/.f64 2 (sqrt.f64 2))) (*.f64 x (sqrt.f64 2)))
(+.f64 (/.f64 0 (/.f64 2 x)) (*.f64 x (sqrt.f64 2)))
(+.f64 (.f64 (sqrt.f64 2) 0) (.f64 x (sqrt.f64 2)))
(+.f64 (/.f64 (+.f64 x x) (/.f64 1/2 (sqrt.f64 2))) (-.f64 0 (.f64 x (.f64 (sqrt.f64 2) 3))))
(+.f64 (/.f64 (+.f64 x x) (/.f64 1/2 (sqrt.f64 2))) (-.f64 (-.f64 x x) (.f64 x (.f64 (sqrt.f64 2) 3))))
(+.f64 (/.f64 (+.f64 x x) (/.f64 1/2 (sqrt.f64 2))) (-.f64 (.f64 (sqrt.f64 2) 0) (.f64 x (*.f64 (sqrt.f64 2) 3))))
(+.f64 (/.f64 0 (/.f64 1/2 (.f64 (sqrt.f64 2) 1/2))) (.f64 x (sqrt.f64 2)))
(+.f64 (/.f64 (/.f64 0 (/.f64 2 (sqrt.f64 2))) 1/2) (*.f64 x (sqrt.f64 2)))
(+.f64 (.f64 0 (+.f64 x x)) (.f64 x (sqrt.f64 2)))
(+.f64 (.f64 (/.f64 0 (/.f64 2 (sqrt.f64 2))) 2) (.f64 x (sqrt.f64 2)))
(+.f64 (.f64 (/.f64 0 (/.f64 2 x)) 2) (.f64 x (sqrt.f64 2)))
(+.f64 (.f64 0 (.f64 (sqrt.f64 2) 1/2)) (*.f64 x (sqrt.f64 2)))
(-.f64 (*.f64 x (sqrt.f64 2)) 0)
(-.f64 (*.f64 x (sqrt.f64 2)) (-.f64 x x))
(-.f64 (.f64 x (sqrt.f64 2)) (.f64 x (*.f64 (sqrt.f64 2) 0)))
(-.f64 (*.f64 x (sqrt.f64 2)) (/.f64 0 (/.f64 2 (sqrt.f64 2))))
(-.f64 (*.f64 x (sqrt.f64 2)) (/.f64 0 (/.f64 2 x)))
(-.f64 (.f64 x (sqrt.f64 2)) (.f64 (sqrt.f64 2) 0))
(-.f64 (.f64 x (sqrt.f64 2)) (/.f64 0 (/.f64 1/2 (.f64 (sqrt.f64 2) 1/2))))
(-.f64 (*.f64 x (sqrt.f64 2)) (/.f64 (/.f64 0 (/.f64 2 (sqrt.f64 2))) 1/2))
(-.f64 (*.f64 x (sqrt.f64 2)) (/.f64 0 (neg.f64 (/.f64 1 (sqrt.f64 2)))))
(-.f64 (*.f64 x (sqrt.f64 2)) (/.f64 0 (/.f64 -1 (sqrt.f64 2))))
(-.f64 (.f64 x (sqrt.f64 2)) (/.f64 0 (/.f64 -1/2 (.f64 (sqrt.f64 2) 1/2))))
(-.f64 (*.f64 x (sqrt.f64 2)) (/.f64 0 (/.f64 1/2 (sqrt.f64 2))))
(-.f64 (.f64 x (sqrt.f64 2)) (.f64 (neg.f64 (sqrt.f64 2)) 0))
(-.f64 (.f64 x (sqrt.f64 2)) (.f64 2 (/.f64 0 (/.f64 2 (sqrt.f64 2)))))
(-.f64 (.f64 x (sqrt.f64 2)) (.f64 2 (/.f64 0 (/.f64 2 x))))
(-.f64 (.f64 x (sqrt.f64 2)) (.f64 (*.f64 (sqrt.f64 2) 1/2) 0))
(-.f64 0 (*.f64 (sqrt.f64 2) (neg.f64 x)))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x 1/2)) (/.f64 (*.f64 x (sqrt.f64 2)) -2))
(-.f64 (-.f64 x x) (*.f64 (sqrt.f64 2) (neg.f64 x)))
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (/.f64 (.f64 x (sqrt.f64 2)) -1/2))
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (/.f64 (.f64 x (*.f64 2 (sqrt.f64 2))) -1))
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (/.f64 (.f64 (sqrt.f64 2) 2) (/.f64 -1 x)))
(-.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) (/.f64 (+.f64 x x) (neg.f64 (/.f64 1 (sqrt.f64 2)))))
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 -1 (.f64 x (.f64 2 (sqrt.f64 2)))))
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 (neg.f64 (sqrt.f64 2)) (+.f64 x x)))
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 (neg.f64 x) (*.f64 (sqrt.f64 2) 2)))
(-.f64 (.f64 x (.f64 2 (sqrt.f64 2))) (*.f64 x (sqrt.f64 2)))
(-.f64 (.f64 x (.f64 (sqrt.f64 2) 0)) (*.f64 (sqrt.f64 2) (neg.f64 x)))
(-.f64 (.f64 x (.f64 (sqrt.f64 2) 3)) (.f64 x (.f64 2 (sqrt.f64 2))))
(-.f64 (.f64 (sqrt.f64 2) 0) (.f64 (sqrt.f64 2) (neg.f64 x)))
(-.f64 (/.f64 (+.f64 x x) (/.f64 1/2 (sqrt.f64 2))) (.f64 x (.f64 (sqrt.f64 2) 3)))
(-.f64 (+.f64 (.f64 (sqrt.f64 2) 0) (-.f64 x x)) (.f64 (sqrt.f64 2) (neg.f64 x)))
(-.f64 (-.f64 (-.f64 x x) (.f64 (sqrt.f64 2) 0)) (.f64 (sqrt.f64 2) (neg.f64 x)))
(-.f64 (-.f64 (/.f64 (+.f64 x x) (/.f64 1/2 (sqrt.f64 2))) (.f64 (sqrt.f64 2) 0)) (.f64 x (*.f64 (sqrt.f64 2) 3)))
(-.f64 (-.f64 (/.f64 (+.f64 x x) (/.f64 1/2 (sqrt.f64 2))) (.f64 x (.f64 (sqrt.f64 2) 0))) (.f64 x (.f64 (sqrt.f64 2) 3)))
(-.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 x 1/2)) (.f64 x (sqrt.f64 2))) (.f64 (sqrt.f64 2) (*.f64 x 1/2)))
(-.f64 (+.f64 (-.f64 x x) (/.f64 (+.f64 x x) (/.f64 1/2 (sqrt.f64 2)))) (.f64 x (.f64 (sqrt.f64 2) 3)))
(-.f64 (+.f64 (.f64 (sqrt.f64 2) 0) (/.f64 (+.f64 x x) (/.f64 1/2 (sqrt.f64 2)))) (.f64 x (*.f64 (sqrt.f64 2) 3)))
(-.f64 (/.f64 0 (/.f64 1/2 (.f64 (sqrt.f64 2) 1/2))) (/.f64 (neg.f64 x) (/.f64 1/2 (.f64 (sqrt.f64 2) 1/2))))
(-.f64 (/.f64 (+.f64 x (.f64 x 3)) (/.f64 1/2 (.f64 (sqrt.f64 2) 1/2))) (/.f64 (.f64 x 3) (/.f64 1/2 (.f64 (sqrt.f64 2) 1/2))))
(-.f64 (/.f64 0 (neg.f64 (/.f64 1 (sqrt.f64 2)))) (*.f64 (sqrt.f64 2) (neg.f64 x)))
(-.f64 (/.f64 x (/.f64 -1 (sqrt.f64 2))) (/.f64 (+.f64 x x) (/.f64 -1 (sqrt.f64 2))))
(-.f64 (/.f64 0 (/.f64 -1 (sqrt.f64 2))) (/.f64 x (/.f64 -1 (sqrt.f64 2))))
(-.f64 (/.f64 x (/.f64 -1/2 (.f64 (sqrt.f64 2) 1/2))) (/.f64 (+.f64 x x) (/.f64 -1/2 (.f64 (sqrt.f64 2) 1/2))))
(-.f64 (/.f64 0 (/.f64 -1/2 (.f64 (sqrt.f64 2) 1/2))) (/.f64 x (/.f64 -1/2 (.f64 (sqrt.f64 2) 1/2))))
(-.f64 (/.f64 (.f64 (sqrt.f64 2) 3) (/.f64 2 x)) (.f64 (sqrt.f64 2) (*.f64 x 1/2)))
(-.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 2) 3)) 2) (.f64 (sqrt.f64 2) (.f64 x 1/2)))
(-.f64 (/.f64 (.f64 x 3) (/.f64 2 (sqrt.f64 2))) (.f64 (sqrt.f64 2) (*.f64 x 1/2)))
(-.f64 (.f64 0 (neg.f64 (sqrt.f64 2))) (.f64 (sqrt.f64 2) (neg.f64 x)))
(-.f64 (.f64 (-.f64 x x) -1) (.f64 (sqrt.f64 2) (neg.f64 x)))
(-.f64 (.f64 (.f64 (.f64 (sqrt.f64 2) 2) 2) x) (.f64 x (*.f64 (sqrt.f64 2) 3)))
(-.f64 (.f64 (+.f64 x (.f64 x 3)) (sqrt.f64 2)) (.f64 x (.f64 (sqrt.f64 2) 3)))
(-.f64 (.f64 (.f64 x (.f64 (sqrt.f64 2) 3)) 1/2) (.f64 (sqrt.f64 2) (*.f64 x 1/2)))
(-.f64 (.f64 (.f64 (sqrt.f64 2) 3) (.f64 x 1/2)) (.f64 (sqrt.f64 2) (*.f64 x 1/2)))
(-.f64 (.f64 (.f64 (.f64 (sqrt.f64 2) 2) 2) (.f64 x 1/2)) (*.f64 x (sqrt.f64 2)))
(-.f64 (.f64 (.f64 x 3) (.f64 (sqrt.f64 2) 1/2)) (.f64 (sqrt.f64 2) (*.f64 x 1/2)))
(-.f64 (.f64 (+.f64 x (.f64 x 3)) (.f64 (sqrt.f64 2) 1/2)) (.f64 x (sqrt.f64 2)))
(.f64 1 (.f64 x (sqrt.f64 2)))
(*.f64 x (sqrt.f64 2))
(*.f64 x (/.f64 1/2 (/.f64 1/2 (sqrt.f64 2))))
(.f64 x (.f64 1 (/.f64 1/2 (/.f64 1/2 (sqrt.f64 2)))))
(.f64 x (.f64 2 (*.f64 (sqrt.f64 2) 1/2)))
(.f64 x (.f64 2 (/.f64 1/2 (/.f64 1 (sqrt.f64 2)))))
(.f64 x (.f64 2 (/.f64 1 (/.f64 2 (sqrt.f64 2)))))
(.f64 2 (.f64 (sqrt.f64 2) (*.f64 x 1/2)))
(*.f64 (sqrt.f64 2) x)
(.f64 (.f64 x (sqrt.f64 2)) 1)
(.f64 1/2 (.f64 x (*.f64 2 (sqrt.f64 2))))
(.f64 (.f64 (sqrt.f64 2) (*.f64 x 1/2)) 2)
(.f64 -1 (.f64 (sqrt.f64 2) (neg.f64 x)))
(.f64 -1 (.f64 2 (/.f64 1/2 (/.f64 -1 (*.f64 x (sqrt.f64 2))))))
(*.f64 (neg.f64 (sqrt.f64 2)) (neg.f64 x))
(.f64 (neg.f64 (sqrt.f64 2)) (.f64 2 (/.f64 x -2)))
(.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) -1)
(*.f64 (neg.f64 x) (neg.f64 (sqrt.f64 2)))
(.f64 (neg.f64 x) (.f64 2 (*.f64 (sqrt.f64 2) -1/2)))
(.f64 (/.f64 x 4) (.f64 (*.f64 (sqrt.f64 2) 2) 2))
(.f64 (/.f64 x 4) (.f64 2 (*.f64 (sqrt.f64 2) 2)))
(.f64 (/.f64 x 4) (.f64 2 (/.f64 1 (/.f64 1/2 (sqrt.f64 2)))))
(.f64 (/.f64 x 4) (+.f64 (.f64 (sqrt.f64 2) 2) (/.f64 1 (/.f64 1/2 (sqrt.f64 2)))))
(.f64 (.f64 x 1/2) (*.f64 (sqrt.f64 2) 2))
(.f64 (.f64 x 1/2) (/.f64 1 (/.f64 1/2 (sqrt.f64 2))))
(.f64 (.f64 x 1/2) (*.f64 1 (/.f64 1 (/.f64 1/2 (sqrt.f64 2)))))
(.f64 (.f64 x 1/2) (*.f64 2 (/.f64 1/2 (/.f64 1/2 (sqrt.f64 2)))))
(.f64 (.f64 x 1/2) (*.f64 2 (sqrt.f64 2)))
(.f64 (.f64 x 1/2) (+.f64 0 (/.f64 1 (/.f64 1/2 (sqrt.f64 2)))))
(.f64 (.f64 (sqrt.f64 2) 1/2) (+.f64 x x))
(.f64 -1/2 (-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (*.f64 x (sqrt.f64 2))))
(.f64 -1/2 (.f64 2 (*.f64 (sqrt.f64 2) (neg.f64 x))))
(.f64 (.f64 (sqrt.f64 2) 2) (*.f64 x 1/2))
(.f64 (.f64 x (*.f64 2 (sqrt.f64 2))) 1/2)
(.f64 (+.f64 x x) (.f64 (sqrt.f64 2) 1/2))
(*.f64 (+.f64 x x) (/.f64 1/2 (/.f64 1 (sqrt.f64 2))))
(.f64 (+.f64 x x) (.f64 1 (/.f64 1/2 (/.f64 1 (sqrt.f64 2)))))
(.f64 (+.f64 x x) (.f64 2 (/.f64 1/2 (/.f64 2 (sqrt.f64 2)))))
(*.f64 (+.f64 x x) (-.f64 (sqrt.f64 2) (/.f64 1/2 (/.f64 1 (sqrt.f64 2)))))
(*.f64 4 (/.f64 1/2 (/.f64 (/.f64 2 x) (sqrt.f64 2))))
(.f64 4 (.f64 1 (/.f64 1/2 (/.f64 (/.f64 2 x) (sqrt.f64 2)))))
(.f64 4 (-.f64 (.f64 (sqrt.f64 2) (*.f64 x 1/2)) (/.f64 1/2 (/.f64 (/.f64 2 x) (sqrt.f64 2)))))
(.f64 -2 (/.f64 (.f64 x (sqrt.f64 2)) -2))
(.f64 -2 (/.f64 1/2 (/.f64 -1 (.f64 x (sqrt.f64 2)))))
(.f64 -2 (.f64 1 (/.f64 (*.f64 x (sqrt.f64 2)) -2)))
(.f64 -2 (.f64 1 (/.f64 1/2 (/.f64 -1 (*.f64 x (sqrt.f64 2))))))
(*.f64 (/.f64 (sqrt.f64 2) -1/2) (/.f64 1/2 (/.f64 -1 x)))
(.f64 (/.f64 (sqrt.f64 2) -1/2) (.f64 1 (/.f64 1/2 (/.f64 -1 x))))
(.f64 (/.f64 (sqrt.f64 2) -1/2) (.f64 x -1/2))
(.f64 (-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (*.f64 x (sqrt.f64 2))) -1/2)
(.f64 (-.f64 (neg.f64 x) x) (.f64 (sqrt.f64 2) -1/2))
(neg.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)))

Outputs
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 2))) 0)
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 2))) (/.f64 0 (sqrt.f64 2)))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 2))) (/.f64 0 x))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(+.f64 (/.f64 1 (.f64 x (sqrt.f64 2))) (/.f64 0 (.f64 x (sqrt.f64 2))))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(+.f64 (/.f64 1 (.f64 x (sqrt.f64 2))) (/.f64 0 (.f64 (sqrt.f64 2) 2)))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(+.f64 (/.f64 1 (.f64 x (sqrt.f64 2))) (+.f64 0 (/.f64 0 (.f64 (sqrt.f64 2) 2))))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(+.f64 (/.f64 1 (.f64 x (sqrt.f64 2))) (+.f64 (/.f64 0 (sqrt.f64 2)) (/.f64 0 (.f64 (sqrt.f64 2) 2))))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 2))) (+.f64 (/.f64 0 (sqrt.f64 2)) (/.f64 0 x)))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(+.f64 (/.f64 1 (.f64 x (sqrt.f64 2))) (-.f64 0 (/.f64 0 (.f64 (sqrt.f64 2) 2))))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(+.f64 (/.f64 1 (.f64 x (sqrt.f64 2))) (-.f64 (/.f64 0 (sqrt.f64 2)) (/.f64 0 (.f64 (sqrt.f64 2) 2))))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(+.f64 (/.f64 1 (.f64 x (sqrt.f64 2))) (-.f64 (/.f64 0 (.f64 (sqrt.f64 2) 2)) (/.f64 0 (sqrt.f64 2))))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(+.f64 (/.f64 1 (.f64 x (sqrt.f64 2))) (-.f64 (/.f64 0 (.f64 (sqrt.f64 2) 2)) (/.f64 0 (*.f64 (sqrt.f64 2) 2))))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(+.f64 (/.f64 1 (.f64 x (sqrt.f64 2))) (-.f64 (/.f64 0 x) (/.f64 0 (.f64 (sqrt.f64 2) 2))))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(+.f64 (/.f64 1 (.f64 x (sqrt.f64 2))) (-.f64 (/.f64 0 (.f64 (sqrt.f64 2) 2)) (/.f64 0 x)))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 2))) (-.f64 (/.f64 0 (sqrt.f64 2)) (/.f64 0 x)))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 2))) (-.f64 (/.f64 0 x) (/.f64 0 (sqrt.f64 2))))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(+.f64 (/.f64 1 (.f64 x (sqrt.f64 2))) (/.f64 0 (.f64 (sqrt.f64 2) 1/2)))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 2))) (/.f64 0 (/.f64 1 (/.f64 1/2 (sqrt.f64 2)))))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 2))) (/.f64 (/.f64 (/.f64 0 (sqrt.f64 2)) 1/2) 2))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(+.f64 (/.f64 1 (.f64 x (sqrt.f64 2))) (.f64 1 (/.f64 0 (*.f64 (sqrt.f64 2) 2))))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(+.f64 (/.f64 1 (.f64 x (sqrt.f64 2))) (.f64 1/2 (/.f64 (/.f64 0 (sqrt.f64 2)) 1/2)))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(+.f64 (/.f64 1 (.f64 x (sqrt.f64 2))) (.f64 (/.f64 -1 x) 0))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(+.f64 (/.f64 1 (.f64 x (sqrt.f64 2))) (.f64 (neg.f64 (/.f64 1 (sqrt.f64 2))) 0))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(+.f64 0 (/.f64 1 (*.f64 x (sqrt.f64 2))))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(+.f64 (/.f64 0 (sqrt.f64 2)) (/.f64 1 (*.f64 x (sqrt.f64 2))))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(+.f64 (/.f64 -1 (*.f64 x (sqrt.f64 2))) (/.f64 (/.f64 2 x) (sqrt.f64 2)))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(+.f64 (/.f64 (/.f64 2 x) (sqrt.f64 2)) (/.f64 -1 (*.f64 x (sqrt.f64 2))))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(+.f64 (/.f64 1/2 (.f64 x (sqrt.f64 2))) (/.f64 1/2 (.f64 x (sqrt.f64 2))))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(+.f64 (/.f64 0 x) (/.f64 1 (*.f64 x (sqrt.f64 2))))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(+.f64 (/.f64 0 (.f64 x (sqrt.f64 2))) (/.f64 1 (.f64 x (sqrt.f64 2))))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(+.f64 (/.f64 0 (.f64 (sqrt.f64 2) 2)) (/.f64 1 (.f64 x (sqrt.f64 2))))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(+.f64 (/.f64 4 (*.f64 x (sqrt.f64 2))) (-.f64 0 (/.f64 (/.f64 3 x) (sqrt.f64 2))))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(+.f64 (/.f64 4 (*.f64 x (sqrt.f64 2))) (-.f64 (/.f64 0 (sqrt.f64 2)) (/.f64 (/.f64 3 x) (sqrt.f64 2))))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(+.f64 (/.f64 0 (.f64 (sqrt.f64 2) 1/2)) (/.f64 1 (.f64 x (sqrt.f64 2))))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(+.f64 (/.f64 (/.f64 1 x) (/.f64 1 (/.f64 1/2 (sqrt.f64 2)))) (/.f64 (/.f64 1 x) (/.f64 1 (/.f64 1/2 (sqrt.f64 2)))))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(+.f64 (/.f64 0 (/.f64 1 (/.f64 1/2 (sqrt.f64 2)))) (/.f64 1 (*.f64 x (sqrt.f64 2))))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(+.f64 (.f64 0 (/.f64 2 (sqrt.f64 2))) (/.f64 1 (.f64 x (sqrt.f64 2))))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(+.f64 (.f64 0 (/.f64 1 x)) (/.f64 1 (.f64 x (sqrt.f64 2))))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(+.f64 (.f64 0 (/.f64 2 x)) (/.f64 1 (.f64 x (sqrt.f64 2))))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(-.f64 (/.f64 1 (*.f64 x (sqrt.f64 2))) 0)
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(-.f64 (/.f64 1 (*.f64 x (sqrt.f64 2))) (/.f64 0 (sqrt.f64 2)))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(-.f64 (/.f64 1 (*.f64 x (sqrt.f64 2))) (/.f64 0 x))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(-.f64 (/.f64 1 (.f64 x (sqrt.f64 2))) (/.f64 0 (.f64 x (sqrt.f64 2))))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(-.f64 (/.f64 1 (.f64 x (sqrt.f64 2))) (/.f64 0 (.f64 (sqrt.f64 2) 2)))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(-.f64 (/.f64 1 (*.f64 x (sqrt.f64 2))) (/.f64 (/.f64 0 (sqrt.f64 2)) 1/2))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(-.f64 (/.f64 1 (.f64 x (sqrt.f64 2))) (/.f64 0 (.f64 (sqrt.f64 2) 1/2)))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(-.f64 (/.f64 1 (*.f64 x (sqrt.f64 2))) (/.f64 (/.f64 0 (sqrt.f64 2)) 2))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(-.f64 (/.f64 1 (*.f64 x (sqrt.f64 2))) (/.f64 0 (/.f64 1 (/.f64 1/2 (sqrt.f64 2)))))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(-.f64 (/.f64 1 (*.f64 x (sqrt.f64 2))) (/.f64 (/.f64 (/.f64 0 (sqrt.f64 2)) 1/2) 2))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(-.f64 (/.f64 1 (.f64 x (sqrt.f64 2))) (.f64 1 (/.f64 0 (*.f64 (sqrt.f64 2) 2))))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(-.f64 (/.f64 1 (.f64 x (sqrt.f64 2))) (.f64 1/2 (/.f64 (/.f64 0 (sqrt.f64 2)) 1/2)))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(-.f64 (/.f64 1 (.f64 x (sqrt.f64 2))) (.f64 (/.f64 -1 x) 0))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(-.f64 (/.f64 1 (.f64 x (sqrt.f64 2))) (.f64 (neg.f64 (/.f64 1 (sqrt.f64 2))) 0))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(-.f64 0 (/.f64 -1 (*.f64 x (sqrt.f64 2))))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(-.f64 (/.f64 0 (sqrt.f64 2)) (/.f64 -1 (*.f64 x (sqrt.f64 2))))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(-.f64 (/.f64 -1 (*.f64 x (sqrt.f64 2))) (-.f64 0 (/.f64 (/.f64 2 x) (sqrt.f64 2))))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(-.f64 (/.f64 -1 (*.f64 x (sqrt.f64 2))) (-.f64 (/.f64 0 (sqrt.f64 2)) (/.f64 (/.f64 2 x) (sqrt.f64 2))))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(-.f64 (/.f64 -1 (*.f64 x (sqrt.f64 2))) (/.f64 (/.f64 2 x) (neg.f64 (sqrt.f64 2))))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(-.f64 (/.f64 -1 (*.f64 x (sqrt.f64 2))) (/.f64 (/.f64 (/.f64 2 x) (sqrt.f64 2)) -1))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(-.f64 (/.f64 -1 (.f64 x (sqrt.f64 2))) (.f64 -1 (/.f64 (/.f64 2 x) (sqrt.f64 2))))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(-.f64 (/.f64 -1 (.f64 x (sqrt.f64 2))) (.f64 (neg.f64 (/.f64 1 (sqrt.f64 2))) (/.f64 2 x)))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(-.f64 (/.f64 (/.f64 2 x) (sqrt.f64 2)) (/.f64 1 (*.f64 x (sqrt.f64 2))))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(-.f64 (/.f64 1/2 (.f64 x (sqrt.f64 2))) (/.f64 (/.f64 -1 x) (.f64 (sqrt.f64 2) 2)))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(-.f64 (/.f64 1/2 (*.f64 x (sqrt.f64 2))) (/.f64 (/.f64 1 (neg.f64 (sqrt.f64 2))) (+.f64 x x)))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(-.f64 (/.f64 1/2 (.f64 x (sqrt.f64 2))) (.f64 (/.f64 1/2 (sqrt.f64 2)) (/.f64 -1 x)))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(-.f64 (/.f64 1/2 (.f64 x (sqrt.f64 2))) (.f64 (/.f64 1/2 x) (/.f64 1 (neg.f64 (sqrt.f64 2)))))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(-.f64 (/.f64 0 x) (/.f64 -1 (*.f64 x (sqrt.f64 2))))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(-.f64 (/.f64 0 x) (/.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 x)))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(-.f64 (/.f64 0 (.f64 x (sqrt.f64 2))) (/.f64 -1 (.f64 x (sqrt.f64 2))))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(-.f64 (/.f64 (/.f64 3 x) (sqrt.f64 2)) (/.f64 (/.f64 2 x) (sqrt.f64 2)))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(-.f64 (/.f64 0 (.f64 (sqrt.f64 2) 2)) (/.f64 -1 (.f64 x (sqrt.f64 2))))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(-.f64 (/.f64 4 (*.f64 x (sqrt.f64 2))) (/.f64 (/.f64 3 x) (sqrt.f64 2)))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(-.f64 (-.f64 0 (/.f64 0 (.f64 (sqrt.f64 2) 2))) (/.f64 -1 (.f64 x (sqrt.f64 2))))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(-.f64 (-.f64 (/.f64 0 (sqrt.f64 2)) (/.f64 0 (.f64 (sqrt.f64 2) 2))) (/.f64 -1 (.f64 x (sqrt.f64 2))))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(-.f64 (-.f64 (/.f64 4 (.f64 x (sqrt.f64 2))) (/.f64 0 (.f64 x (sqrt.f64 2)))) (/.f64 (/.f64 3 x) (sqrt.f64 2)))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(-.f64 (-.f64 (/.f64 4 (.f64 x (sqrt.f64 2))) (/.f64 0 (.f64 (sqrt.f64 2) 2))) (/.f64 (/.f64 3 x) (sqrt.f64 2)))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(-.f64 (-.f64 (/.f64 4 (*.f64 x (sqrt.f64 2))) (/.f64 0 x)) (/.f64 (/.f64 3 x) (sqrt.f64 2)))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(-.f64 (-.f64 (/.f64 0 (sqrt.f64 2)) (/.f64 0 x)) (/.f64 -1 (*.f64 x (sqrt.f64 2))))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(-.f64 (+.f64 (/.f64 0 (sqrt.f64 2)) (/.f64 4 (*.f64 x (sqrt.f64 2)))) (/.f64 (/.f64 3 x) (sqrt.f64 2)))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(-.f64 (/.f64 (/.f64 3 x) (.f64 (sqrt.f64 2) 2)) (/.f64 1/2 (.f64 x (sqrt.f64 2))))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(-.f64 (/.f64 (/.f64 (/.f64 3 x) (sqrt.f64 2)) 2) (/.f64 1/2 (*.f64 x (sqrt.f64 2))))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(-.f64 (/.f64 0 (/.f64 (sqrt.f64 2) -1/2)) (/.f64 (/.f64 2 x) (/.f64 (sqrt.f64 2) -1/2)))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(-.f64 (/.f64 (/.f64 1 x) (/.f64 1 (/.f64 1/2 (sqrt.f64 2)))) (/.f64 (/.f64 -1 x) (/.f64 1 (/.f64 1/2 (sqrt.f64 2)))))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(-.f64 (/.f64 (/.f64 3 x) (/.f64 1 (/.f64 1/2 (sqrt.f64 2)))) (/.f64 (/.f64 1 x) (/.f64 1 (/.f64 1/2 (sqrt.f64 2)))))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(-.f64 (.f64 0 (neg.f64 (/.f64 1 (sqrt.f64 2)))) (.f64 (neg.f64 (/.f64 1 (sqrt.f64 2))) (/.f64 1 x)))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(-.f64 (.f64 0 (neg.f64 (/.f64 1/2 (sqrt.f64 2)))) (.f64 (neg.f64 (/.f64 1/2 (sqrt.f64 2))) (/.f64 2 x)))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(-.f64 (.f64 0 (/.f64 -1 x)) (/.f64 -1 (.f64 x (sqrt.f64 2))))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(-.f64 (.f64 (/.f64 4 (.f64 x (sqrt.f64 2))) 1/2) (/.f64 1 (*.f64 x (sqrt.f64 2))))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(-.f64 (*.f64 (/.f64 4 x) (/.f64 1 (sqrt.f64 2))) (/.f64 (/.f64 3 x) (sqrt.f64 2)))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(-.f64 (.f64 (/.f64 (/.f64 3 x) (sqrt.f64 2)) 1/2) (/.f64 1/2 (.f64 x (sqrt.f64 2))))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(-.f64 (.f64 (/.f64 3 x) (/.f64 1/2 (sqrt.f64 2))) (/.f64 1/2 (.f64 x (sqrt.f64 2))))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(-.f64 (.f64 (/.f64 0 (sqrt.f64 2)) -1) (/.f64 -1 (.f64 x (sqrt.f64 2))))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(-.f64 (.f64 0 (neg.f64 (/.f64 2 (sqrt.f64 2)))) (.f64 (neg.f64 (/.f64 2 (sqrt.f64 2))) (/.f64 1/2 x)))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(-.f64 (.f64 0 (neg.f64 (/.f64 2 x))) (.f64 (neg.f64 (/.f64 2 x)) (/.f64 1/2 (sqrt.f64 2))))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(.f64 1 (/.f64 1 (.f64 x (sqrt.f64 2))))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(*.f64 (/.f64 1 x) (/.f64 1 (sqrt.f64 2)))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(.f64 2 (/.f64 1/2 (.f64 x (sqrt.f64 2))))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(.f64 2 (.f64 (/.f64 2 x) (/.f64 1/2 (*.f64 (sqrt.f64 2) 2))))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(.f64 2 (.f64 (/.f64 2 (sqrt.f64 2)) (/.f64 1/2 (+.f64 x x))))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(.f64 (/.f64 1 (.f64 x (sqrt.f64 2))) 1)
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(*.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 x))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(*.f64 1/2 (/.f64 (/.f64 2 x) (sqrt.f64 2)))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(*.f64 (/.f64 1/2 x) (/.f64 2 (sqrt.f64 2)))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(*.f64 (/.f64 2 x) (/.f64 1/2 (sqrt.f64 2)))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(*.f64 (/.f64 1/2 (sqrt.f64 2)) (/.f64 2 x))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(*.f64 (/.f64 2 (sqrt.f64 2)) (/.f64 1/2 x))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(.f64 -1 (/.f64 -1 (.f64 x (sqrt.f64 2))))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (/.f64 2 x) (/.f64 1/2 (neg.f64 (sqrt.f64 2)))))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (/.f64 2 (sqrt.f64 2)) (/.f64 1/2 (neg.f64 x))))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(*.f64 (/.f64 -1 x) (neg.f64 (/.f64 1 (sqrt.f64 2))))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(.f64 (/.f64 -1 (.f64 x (sqrt.f64 2))) -1)
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(.f64 -1/2 (.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 (/.f64 2 x))))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(.f64 -1/2 (.f64 (/.f64 2 x) (neg.f64 (/.f64 1 (sqrt.f64 2)))))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(.f64 -1/2 (.f64 (/.f64 2 (sqrt.f64 2)) (/.f64 -1 x)))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(*.f64 (neg.f64 (/.f64 1 (sqrt.f64 2))) (/.f64 -1 x))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(*.f64 (/.f64 (/.f64 2 x) (sqrt.f64 2)) 1/2)
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(.f64 (/.f64 1/2 (.f64 x (sqrt.f64 2))) 2)
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(.f64 4 (.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1/2 (+.f64 x x))))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(.f64 4 (.f64 (/.f64 1/2 x) (/.f64 1/2 (sqrt.f64 2))))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(.f64 4 (.f64 (/.f64 1/2 (sqrt.f64 2)) (/.f64 1/2 x)))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(.f64 -2 (.f64 (/.f64 1 x) (neg.f64 (/.f64 1/2 (sqrt.f64 2)))))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(.f64 -2 (.f64 (/.f64 1 x) (/.f64 1/2 (neg.f64 (sqrt.f64 2)))))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(.f64 -2 (.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 (/.f64 1/2 x))))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(.f64 -2 (.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1/2 (neg.f64 x))))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(*.f64 (neg.f64 (/.f64 2 (sqrt.f64 2))) (neg.f64 (/.f64 1/2 x)))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(*.f64 (neg.f64 (/.f64 2 (sqrt.f64 2))) (/.f64 1/2 (neg.f64 x)))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(.f64 (neg.f64 (/.f64 2 (sqrt.f64 2))) (.f64 1 (neg.f64 (/.f64 1/2 x))))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(.f64 (neg.f64 (/.f64 2 (sqrt.f64 2))) (.f64 1 (/.f64 1/2 (neg.f64 x))))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(*.f64 (neg.f64 (/.f64 2 x)) (neg.f64 (/.f64 1/2 (sqrt.f64 2))))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(*.f64 (neg.f64 (/.f64 2 x)) (/.f64 1/2 (neg.f64 (sqrt.f64 2))))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(.f64 (neg.f64 (/.f64 2 x)) (.f64 1 (neg.f64 (/.f64 1/2 (sqrt.f64 2)))))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(.f64 (neg.f64 (/.f64 2 x)) (.f64 1 (/.f64 1/2 (neg.f64 (sqrt.f64 2)))))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(.f64 (neg.f64 (/.f64 2 x)) (.f64 (/.f64 1 (sqrt.f64 2)) -1/2))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(*.f64 (neg.f64 (/.f64 1/2 (sqrt.f64 2))) (neg.f64 (/.f64 2 x)))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(.f64 (/.f64 4 x) (.f64 (/.f64 1 (sqrt.f64 2)) 1/4))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(.f64 (/.f64 4 x) (/.f64 1/2 (.f64 (sqrt.f64 2) 2)))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(.f64 (/.f64 4 x) (.f64 1 (/.f64 1/2 (*.f64 (sqrt.f64 2) 2))))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(.f64 (/.f64 4 x) (-.f64 (/.f64 1/2 (sqrt.f64 2)) (/.f64 1/2 (.f64 (sqrt.f64 2) 2))))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(.f64 (+.f64 (/.f64 -1 (.f64 x (sqrt.f64 2))) (/.f64 -1 (*.f64 x (sqrt.f64 2)))) -1/2)
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(neg.f64 (/.f64 -1 (*.f64 x (sqrt.f64 2))))
(/.f64 (/.f64 1 x) (sqrt.f64 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(+.f64 (*.f64 x (sqrt.f64 2)) 0)
(*.f64 (sqrt.f64 2) x)
(+.f64 (*.f64 x (sqrt.f64 2)) (-.f64 x x))
(+.f64 x (-.f64 (*.f64 (sqrt.f64 2) x) x))
(+.f64 (.f64 x (sqrt.f64 2)) (.f64 x (*.f64 (sqrt.f64 2) 0)))
(+.f64 (.f64 (sqrt.f64 2) x) (.f64 (sqrt.f64 2) (*.f64 x 0)))
(.f64 (sqrt.f64 2) (+.f64 x (.f64 x 0)))
(+.f64 (*.f64 x (sqrt.f64 2)) (/.f64 0 (/.f64 2 (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) x)
(+.f64 (*.f64 x (sqrt.f64 2)) (/.f64 0 (/.f64 2 x)))
(*.f64 (sqrt.f64 2) x)
(+.f64 (.f64 x (sqrt.f64 2)) (.f64 (sqrt.f64 2) 0))
(*.f64 (sqrt.f64 2) x)
(+.f64 (.f64 x (sqrt.f64 2)) (+.f64 (-.f64 x x) (.f64 (sqrt.f64 2) 0)))
(+.f64 x (-.f64 (*.f64 (sqrt.f64 2) x) x))
(+.f64 (.f64 x (sqrt.f64 2)) (+.f64 (.f64 (sqrt.f64 2) 0) (-.f64 x x)))
(+.f64 x (-.f64 (*.f64 (sqrt.f64 2) x) x))
(+.f64 (.f64 x (sqrt.f64 2)) (+.f64 (.f64 (sqrt.f64 2) 0) (*.f64 (sqrt.f64 2) 0)))
(*.f64 (sqrt.f64 2) x)
(+.f64 (.f64 x (sqrt.f64 2)) (-.f64 (.f64 (sqrt.f64 2) (.f64 x 1/2)) (.f64 (sqrt.f64 2) (*.f64 x 1/2))))
(*.f64 (sqrt.f64 2) x)
(+.f64 (.f64 x (sqrt.f64 2)) (-.f64 (-.f64 x x) (.f64 (sqrt.f64 2) 0)))
(+.f64 x (-.f64 (*.f64 (sqrt.f64 2) x) x))
(+.f64 (.f64 x (sqrt.f64 2)) (-.f64 (.f64 (sqrt.f64 2) 0) (-.f64 x x)))
(-.f64 (*.f64 (sqrt.f64 2) (+.f64 x 0)) (-.f64 x x))
(-.f64 (*.f64 (sqrt.f64 2) x) (-.f64 x x))
(+.f64 (.f64 x (sqrt.f64 2)) (/.f64 0 (/.f64 1/2 (.f64 (sqrt.f64 2) 1/2))))
(*.f64 (sqrt.f64 2) x)
(+.f64 (*.f64 x (sqrt.f64 2)) (/.f64 (/.f64 0 (/.f64 2 (sqrt.f64 2))) 1/2))
(*.f64 (sqrt.f64 2) x)
(+.f64 (*.f64 x (sqrt.f64 2)) (/.f64 0 (neg.f64 (/.f64 1 (sqrt.f64 2)))))
(*.f64 (sqrt.f64 2) x)
(+.f64 (*.f64 x (sqrt.f64 2)) (/.f64 0 (/.f64 -1 (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) x)
(+.f64 (.f64 x (sqrt.f64 2)) (/.f64 0 (/.f64 -1/2 (.f64 (sqrt.f64 2) 1/2))))
(*.f64 (sqrt.f64 2) x)
(+.f64 (*.f64 x (sqrt.f64 2)) (/.f64 0 (/.f64 1/2 (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) x)
(+.f64 (.f64 x (sqrt.f64 2)) (.f64 (neg.f64 (sqrt.f64 2)) 0))
(*.f64 (sqrt.f64 2) x)
(+.f64 (.f64 x (sqrt.f64 2)) (.f64 2 (/.f64 0 (/.f64 2 (sqrt.f64 2)))))
(*.f64 (sqrt.f64 2) x)
(+.f64 (.f64 x (sqrt.f64 2)) (.f64 2 (/.f64 0 (/.f64 2 x))))
(*.f64 (sqrt.f64 2) x)
(+.f64 (.f64 x (sqrt.f64 2)) (.f64 (*.f64 (sqrt.f64 2) 1/2) 0))
(*.f64 (sqrt.f64 2) x)
(+.f64 0 (*.f64 x (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) x)
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 1/2)) (.f64 (sqrt.f64 2) (.f64 x 1/2)))
(*.f64 (sqrt.f64 2) x)
(+.f64 (-.f64 x x) (*.f64 x (sqrt.f64 2)))
(+.f64 x (-.f64 (*.f64 (sqrt.f64 2) x) x))
(+.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 x (*.f64 2 (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) x)
(+.f64 (.f64 x (.f64 2 (sqrt.f64 2))) (*.f64 (sqrt.f64 2) (neg.f64 x)))
(*.f64 (sqrt.f64 2) x)
(+.f64 (.f64 x (.f64 2 (sqrt.f64 2))) (/.f64 (neg.f64 x) (/.f64 1/2 (*.f64 (sqrt.f64 2) 1/2))))
(*.f64 (sqrt.f64 2) x)
(+.f64 (.f64 x (.f64 (sqrt.f64 2) 0)) (*.f64 x (sqrt.f64 2)))
(+.f64 (.f64 (sqrt.f64 2) x) (.f64 (sqrt.f64 2) (*.f64 x 0)))
(.f64 (sqrt.f64 2) (+.f64 x (.f64 x 0)))
(+.f64 (/.f64 0 (/.f64 2 (sqrt.f64 2))) (*.f64 x (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) x)
(+.f64 (/.f64 0 (/.f64 2 x)) (*.f64 x (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) x)
(+.f64 (.f64 (sqrt.f64 2) 0) (.f64 x (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) x)
(+.f64 (/.f64 (+.f64 x x) (/.f64 1/2 (sqrt.f64 2))) (-.f64 0 (.f64 x (.f64 (sqrt.f64 2) 3))))
(*.f64 (sqrt.f64 2) x)
(+.f64 (/.f64 (+.f64 x x) (/.f64 1/2 (sqrt.f64 2))) (-.f64 (-.f64 x x) (.f64 x (.f64 (sqrt.f64 2) 3))))
(+.f64 x (-.f64 (*.f64 (sqrt.f64 2) x) x))
(+.f64 (/.f64 (+.f64 x x) (/.f64 1/2 (sqrt.f64 2))) (-.f64 (.f64 (sqrt.f64 2) 0) (.f64 x (*.f64 (sqrt.f64 2) 3))))
(*.f64 (sqrt.f64 2) x)
(+.f64 (/.f64 0 (/.f64 1/2 (.f64 (sqrt.f64 2) 1/2))) (.f64 x (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) x)
(+.f64 (/.f64 (/.f64 0 (/.f64 2 (sqrt.f64 2))) 1/2) (*.f64 x (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) x)
(+.f64 (.f64 0 (+.f64 x x)) (.f64 x (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) x)
(+.f64 (.f64 (/.f64 0 (/.f64 2 (sqrt.f64 2))) 2) (.f64 x (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) x)
(+.f64 (.f64 (/.f64 0 (/.f64 2 x)) 2) (.f64 x (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) x)
(+.f64 (.f64 0 (.f64 (sqrt.f64 2) 1/2)) (*.f64 x (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) x)
(-.f64 (*.f64 x (sqrt.f64 2)) 0)
(*.f64 (sqrt.f64 2) x)
(-.f64 (*.f64 x (sqrt.f64 2)) (-.f64 x x))
(-.f64 (*.f64 (sqrt.f64 2) (+.f64 x 0)) (-.f64 x x))
(-.f64 (*.f64 (sqrt.f64 2) x) (-.f64 x x))
(-.f64 (.f64 x (sqrt.f64 2)) (.f64 x (*.f64 (sqrt.f64 2) 0)))
(-.f64 (.f64 (sqrt.f64 2) x) (.f64 (sqrt.f64 2) (*.f64 x 0)))
(.f64 (sqrt.f64 2) (-.f64 x (.f64 x 0)))
(-.f64 (*.f64 x (sqrt.f64 2)) (/.f64 0 (/.f64 2 (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) x)
(-.f64 (*.f64 x (sqrt.f64 2)) (/.f64 0 (/.f64 2 x)))
(*.f64 (sqrt.f64 2) x)
(-.f64 (.f64 x (sqrt.f64 2)) (.f64 (sqrt.f64 2) 0))
(*.f64 (sqrt.f64 2) x)
(-.f64 (.f64 x (sqrt.f64 2)) (/.f64 0 (/.f64 1/2 (.f64 (sqrt.f64 2) 1/2))))
(*.f64 (sqrt.f64 2) x)
(-.f64 (*.f64 x (sqrt.f64 2)) (/.f64 (/.f64 0 (/.f64 2 (sqrt.f64 2))) 1/2))
(*.f64 (sqrt.f64 2) x)
(-.f64 (*.f64 x (sqrt.f64 2)) (/.f64 0 (neg.f64 (/.f64 1 (sqrt.f64 2)))))
(*.f64 (sqrt.f64 2) x)
(-.f64 (*.f64 x (sqrt.f64 2)) (/.f64 0 (/.f64 -1 (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) x)
(-.f64 (.f64 x (sqrt.f64 2)) (/.f64 0 (/.f64 -1/2 (.f64 (sqrt.f64 2) 1/2))))
(*.f64 (sqrt.f64 2) x)
(-.f64 (*.f64 x (sqrt.f64 2)) (/.f64 0 (/.f64 1/2 (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) x)
(-.f64 (.f64 x (sqrt.f64 2)) (.f64 (neg.f64 (sqrt.f64 2)) 0))
(*.f64 (sqrt.f64 2) x)
(-.f64 (.f64 x (sqrt.f64 2)) (.f64 2 (/.f64 0 (/.f64 2 (sqrt.f64 2)))))
(*.f64 (sqrt.f64 2) x)
(-.f64 (.f64 x (sqrt.f64 2)) (.f64 2 (/.f64 0 (/.f64 2 x))))
(*.f64 (sqrt.f64 2) x)
(-.f64 (.f64 x (sqrt.f64 2)) (.f64 (*.f64 (sqrt.f64 2) 1/2) 0))
(*.f64 (sqrt.f64 2) x)
(-.f64 0 (*.f64 (sqrt.f64 2) (neg.f64 x)))
(*.f64 (sqrt.f64 2) x)
(-.f64 (.f64 (sqrt.f64 2) (.f64 x 1/2)) (/.f64 (*.f64 x (sqrt.f64 2)) -2))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x 1/2)) (*.f64 (sqrt.f64 2) (/.f64 x -2)))
(.f64 (sqrt.f64 2) (-.f64 (.f64 x 1/2) (*.f64 x -1/2)))
(-.f64 (-.f64 x x) (*.f64 (sqrt.f64 2) (neg.f64 x)))
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (/.f64 (.f64 x (sqrt.f64 2)) -1/2))
(*.f64 (sqrt.f64 2) x)
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (/.f64 (.f64 x (*.f64 2 (sqrt.f64 2))) -1))
(*.f64 (sqrt.f64 2) x)
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (/.f64 (.f64 (sqrt.f64 2) 2) (/.f64 -1 x)))
(*.f64 (sqrt.f64 2) x)
(-.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) (/.f64 (+.f64 x x) (neg.f64 (/.f64 1 (sqrt.f64 2)))))
(*.f64 (sqrt.f64 2) x)
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 -1 (.f64 x (.f64 2 (sqrt.f64 2)))))
(*.f64 (sqrt.f64 2) x)
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 (neg.f64 (sqrt.f64 2)) (+.f64 x x)))
(*.f64 (sqrt.f64 2) x)
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 (neg.f64 x) (*.f64 (sqrt.f64 2) 2)))
(*.f64 (sqrt.f64 2) x)
(-.f64 (.f64 x (.f64 2 (sqrt.f64 2))) (*.f64 x (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) x)
(-.f64 (.f64 x (.f64 (sqrt.f64 2) 0)) (*.f64 (sqrt.f64 2) (neg.f64 x)))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x 0)) (*.f64 (sqrt.f64 2) (neg.f64 x)))
(-.f64 (.f64 x (.f64 (sqrt.f64 2) 3)) (.f64 x (.f64 2 (sqrt.f64 2))))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x 3)) (.f64 x (.f64 2 (sqrt.f64 2))))
(.f64 x (-.f64 (.f64 (sqrt.f64 2) 3) (*.f64 2 (sqrt.f64 2))))
(-.f64 (.f64 (sqrt.f64 2) 0) (.f64 (sqrt.f64 2) (neg.f64 x)))
(*.f64 (sqrt.f64 2) x)
(-.f64 (/.f64 (+.f64 x x) (/.f64 1/2 (sqrt.f64 2))) (.f64 x (.f64 (sqrt.f64 2) 3)))
(*.f64 (sqrt.f64 2) x)
(-.f64 (+.f64 (.f64 (sqrt.f64 2) 0) (-.f64 x x)) (.f64 (sqrt.f64 2) (neg.f64 x)))
(+.f64 x (-.f64 (*.f64 (sqrt.f64 2) x) x))
(-.f64 (-.f64 (-.f64 x x) (.f64 (sqrt.f64 2) 0)) (.f64 (sqrt.f64 2) (neg.f64 x)))
(-.f64 (-.f64 (/.f64 (+.f64 x x) (/.f64 1/2 (sqrt.f64 2))) (.f64 (sqrt.f64 2) 0)) (.f64 x (*.f64 (sqrt.f64 2) 3)))
(*.f64 (sqrt.f64 2) x)
(-.f64 (-.f64 (/.f64 (+.f64 x x) (/.f64 1/2 (sqrt.f64 2))) (.f64 x (.f64 (sqrt.f64 2) 0))) (.f64 x (.f64 (sqrt.f64 2) 3)))
(-.f64 (.f64 (sqrt.f64 2) x) (.f64 (sqrt.f64 2) (*.f64 x 0)))
(.f64 (sqrt.f64 2) (-.f64 x (.f64 x 0)))
(-.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 x 1/2)) (.f64 x (sqrt.f64 2))) (.f64 (sqrt.f64 2) (*.f64 x 1/2)))
(*.f64 (sqrt.f64 2) x)
(-.f64 (+.f64 (-.f64 x x) (/.f64 (+.f64 x x) (/.f64 1/2 (sqrt.f64 2)))) (.f64 x (.f64 (sqrt.f64 2) 3)))
(+.f64 x (-.f64 (*.f64 (sqrt.f64 2) x) x))
(-.f64 (+.f64 (.f64 (sqrt.f64 2) 0) (/.f64 (+.f64 x x) (/.f64 1/2 (sqrt.f64 2)))) (.f64 x (*.f64 (sqrt.f64 2) 3)))
(*.f64 (sqrt.f64 2) x)
(-.f64 (/.f64 0 (/.f64 1/2 (.f64 (sqrt.f64 2) 1/2))) (/.f64 (neg.f64 x) (/.f64 1/2 (.f64 (sqrt.f64 2) 1/2))))
(*.f64 (sqrt.f64 2) x)
(-.f64 (/.f64 (+.f64 x (.f64 x 3)) (/.f64 1/2 (.f64 (sqrt.f64 2) 1/2))) (/.f64 (.f64 x 3) (/.f64 1/2 (.f64 (sqrt.f64 2) 1/2))))
(/.f64 (-.f64 (+.f64 x (.f64 x 3)) (.f64 x 3)) (/.f64 1/2 (*.f64 (sqrt.f64 2) 1/2)))
(.f64 (sqrt.f64 2) (-.f64 (+.f64 x (.f64 x 3)) (*.f64 x 3)))
(-.f64 (/.f64 0 (neg.f64 (/.f64 1 (sqrt.f64 2)))) (*.f64 (sqrt.f64 2) (neg.f64 x)))
(*.f64 (sqrt.f64 2) x)
(-.f64 (/.f64 x (/.f64 -1 (sqrt.f64 2))) (/.f64 (+.f64 x x) (/.f64 -1 (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) x)
(-.f64 (/.f64 0 (/.f64 -1 (sqrt.f64 2))) (/.f64 x (/.f64 -1 (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) x)
(-.f64 (/.f64 x (/.f64 -1/2 (.f64 (sqrt.f64 2) 1/2))) (/.f64 (+.f64 x x) (/.f64 -1/2 (.f64 (sqrt.f64 2) 1/2))))
(*.f64 (sqrt.f64 2) x)
(-.f64 (/.f64 0 (/.f64 -1/2 (.f64 (sqrt.f64 2) 1/2))) (/.f64 x (/.f64 -1/2 (.f64 (sqrt.f64 2) 1/2))))
(*.f64 (sqrt.f64 2) x)
(-.f64 (/.f64 (.f64 (sqrt.f64 2) 3) (/.f64 2 x)) (.f64 (sqrt.f64 2) (*.f64 x 1/2)))
(-.f64 (.f64 3 (/.f64 (sqrt.f64 2) (/.f64 2 x))) (.f64 (sqrt.f64 2) (*.f64 x 1/2)))
(.f64 (.f64 x 1/2) (-.f64 (*.f64 (sqrt.f64 2) 3) (sqrt.f64 2)))
(-.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 2) 3)) 2) (.f64 (sqrt.f64 2) (.f64 x 1/2)))
(-.f64 (.f64 3 (/.f64 (sqrt.f64 2) (/.f64 2 x))) (.f64 (sqrt.f64 2) (*.f64 x 1/2)))
(.f64 (.f64 x 1/2) (-.f64 (*.f64 (sqrt.f64 2) 3) (sqrt.f64 2)))
(-.f64 (/.f64 (.f64 x 3) (/.f64 2 (sqrt.f64 2))) (.f64 (sqrt.f64 2) (*.f64 x 1/2)))
(-.f64 (.f64 3 (/.f64 (sqrt.f64 2) (/.f64 2 x))) (.f64 (sqrt.f64 2) (*.f64 x 1/2)))
(.f64 (.f64 x 1/2) (-.f64 (*.f64 (sqrt.f64 2) 3) (sqrt.f64 2)))
(-.f64 (.f64 0 (neg.f64 (sqrt.f64 2))) (.f64 (sqrt.f64 2) (neg.f64 x)))
(*.f64 (sqrt.f64 2) x)
(-.f64 (.f64 (-.f64 x x) -1) (.f64 (sqrt.f64 2) (neg.f64 x)))
(-.f64 (neg.f64 (-.f64 x x)) (*.f64 (sqrt.f64 2) (neg.f64 x)))
(-.f64 (.f64 (.f64 (.f64 (sqrt.f64 2) 2) 2) x) (.f64 x (*.f64 (sqrt.f64 2) 3)))
(*.f64 (sqrt.f64 2) x)
(-.f64 (.f64 (+.f64 x (.f64 x 3)) (sqrt.f64 2)) (.f64 x (.f64 (sqrt.f64 2) 3)))
(/.f64 (-.f64 (+.f64 x (.f64 x 3)) (.f64 x 3)) (/.f64 1/2 (*.f64 (sqrt.f64 2) 1/2)))
(.f64 (sqrt.f64 2) (-.f64 (+.f64 x (.f64 x 3)) (*.f64 x 3)))
(-.f64 (.f64 (.f64 x (.f64 (sqrt.f64 2) 3)) 1/2) (.f64 (sqrt.f64 2) (*.f64 x 1/2)))
(-.f64 (.f64 3 (/.f64 (sqrt.f64 2) (/.f64 2 x))) (.f64 (sqrt.f64 2) (*.f64 x 1/2)))
(.f64 (.f64 x 1/2) (-.f64 (*.f64 (sqrt.f64 2) 3) (sqrt.f64 2)))
(-.f64 (.f64 (.f64 (sqrt.f64 2) 3) (.f64 x 1/2)) (.f64 (sqrt.f64 2) (*.f64 x 1/2)))
(-.f64 (.f64 3 (/.f64 (sqrt.f64 2) (/.f64 2 x))) (.f64 (sqrt.f64 2) (*.f64 x 1/2)))
(.f64 (.f64 x 1/2) (-.f64 (*.f64 (sqrt.f64 2) 3) (sqrt.f64 2)))
(-.f64 (.f64 (.f64 (.f64 (sqrt.f64 2) 2) 2) (.f64 x 1/2)) (*.f64 x (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) x)
(-.f64 (.f64 (.f64 x 3) (.f64 (sqrt.f64 2) 1/2)) (.f64 (sqrt.f64 2) (*.f64 x 1/2)))
(-.f64 (.f64 3 (/.f64 (sqrt.f64 2) (/.f64 2 x))) (.f64 (sqrt.f64 2) (*.f64 x 1/2)))
(.f64 (.f64 x 1/2) (-.f64 (*.f64 (sqrt.f64 2) 3) (sqrt.f64 2)))
(-.f64 (.f64 (+.f64 x (.f64 x 3)) (.f64 (sqrt.f64 2) 1/2)) (.f64 x (sqrt.f64 2)))
(-.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 x (.f64 x 3)) 1/2)) (.f64 (sqrt.f64 2) x))
(-.f64 (.f64 (sqrt.f64 2) (.f64 1/2 (+.f64 x (.f64 x 3)))) (.f64 (sqrt.f64 2) x))
(neg.f64 (-.f64 (.f64 (sqrt.f64 2) (.f64 x 1/2)) (/.f64 (sqrt.f64 2) (/.f64 2/3 x))))
(.f64 1 (.f64 x (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(*.f64 (sqrt.f64 2) x)
(*.f64 x (/.f64 1/2 (/.f64 1/2 (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) x)
(.f64 x (.f64 1 (/.f64 1/2 (/.f64 1/2 (sqrt.f64 2)))))
(*.f64 (sqrt.f64 2) x)
(.f64 x (.f64 2 (*.f64 (sqrt.f64 2) 1/2)))
(*.f64 (sqrt.f64 2) x)
(.f64 x (.f64 2 (/.f64 1/2 (/.f64 1 (sqrt.f64 2)))))
(*.f64 (sqrt.f64 2) x)
(.f64 x (.f64 2 (/.f64 1 (/.f64 2 (sqrt.f64 2)))))
(*.f64 (sqrt.f64 2) x)
(.f64 2 (.f64 (sqrt.f64 2) (*.f64 x 1/2)))
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(.f64 (.f64 x (sqrt.f64 2)) 1)
(*.f64 (sqrt.f64 2) x)
(.f64 1/2 (.f64 x (*.f64 2 (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) x)
(.f64 (.f64 (sqrt.f64 2) (*.f64 x 1/2)) 2)
(*.f64 (sqrt.f64 2) x)
(.f64 -1 (.f64 (sqrt.f64 2) (neg.f64 x)))
(*.f64 (sqrt.f64 2) x)
(.f64 -1 (.f64 2 (/.f64 1/2 (/.f64 -1 (*.f64 x (sqrt.f64 2))))))
(*.f64 (sqrt.f64 2) x)
(*.f64 (neg.f64 (sqrt.f64 2)) (neg.f64 x))
(*.f64 (sqrt.f64 2) x)
(.f64 (neg.f64 (sqrt.f64 2)) (.f64 2 (/.f64 x -2)))
(*.f64 (sqrt.f64 2) x)
(.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) -1)
(*.f64 (sqrt.f64 2) x)
(*.f64 (neg.f64 x) (neg.f64 (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) x)
(.f64 (neg.f64 x) (.f64 2 (*.f64 (sqrt.f64 2) -1/2)))
(*.f64 (sqrt.f64 2) x)
(.f64 (/.f64 x 4) (.f64 (*.f64 (sqrt.f64 2) 2) 2))
(*.f64 (sqrt.f64 2) x)
(.f64 (/.f64 x 4) (.f64 2 (*.f64 (sqrt.f64 2) 2)))
(*.f64 (sqrt.f64 2) x)
(.f64 (/.f64 x 4) (.f64 2 (/.f64 1 (/.f64 1/2 (sqrt.f64 2)))))
(*.f64 (sqrt.f64 2) x)
(.f64 (/.f64 x 4) (+.f64 (.f64 (sqrt.f64 2) 2) (/.f64 1 (/.f64 1/2 (sqrt.f64 2)))))
(*.f64 (sqrt.f64 2) x)
(.f64 (.f64 x 1/2) (*.f64 (sqrt.f64 2) 2))
(*.f64 (sqrt.f64 2) x)
(.f64 (.f64 x 1/2) (/.f64 1 (/.f64 1/2 (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) x)
(.f64 (.f64 x 1/2) (*.f64 1 (/.f64 1 (/.f64 1/2 (sqrt.f64 2)))))
(*.f64 (sqrt.f64 2) x)
(.f64 (.f64 x 1/2) (*.f64 2 (/.f64 1/2 (/.f64 1/2 (sqrt.f64 2)))))
(*.f64 (sqrt.f64 2) x)
(.f64 (.f64 x 1/2) (*.f64 2 (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) x)
(.f64 (.f64 x 1/2) (+.f64 0 (/.f64 1 (/.f64 1/2 (sqrt.f64 2)))))
(*.f64 (sqrt.f64 2) x)
(.f64 (.f64 (sqrt.f64 2) 1/2) (+.f64 x x))
(*.f64 (sqrt.f64 2) x)
(.f64 -1/2 (-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (*.f64 x (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) x)
(.f64 -1/2 (.f64 2 (*.f64 (sqrt.f64 2) (neg.f64 x))))
(*.f64 (sqrt.f64 2) x)
(.f64 (.f64 (sqrt.f64 2) 2) (*.f64 x 1/2))
(*.f64 (sqrt.f64 2) x)
(.f64 (.f64 x (*.f64 2 (sqrt.f64 2))) 1/2)
(*.f64 (sqrt.f64 2) x)
(.f64 (+.f64 x x) (.f64 (sqrt.f64 2) 1/2))
(*.f64 (sqrt.f64 2) x)
(*.f64 (+.f64 x x) (/.f64 1/2 (/.f64 1 (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) x)
(.f64 (+.f64 x x) (.f64 1 (/.f64 1/2 (/.f64 1 (sqrt.f64 2)))))
(*.f64 (sqrt.f64 2) x)
(.f64 (+.f64 x x) (.f64 2 (/.f64 1/2 (/.f64 2 (sqrt.f64 2)))))
(*.f64 (sqrt.f64 2) x)
(*.f64 (+.f64 x x) (-.f64 (sqrt.f64 2) (/.f64 1/2 (/.f64 1 (sqrt.f64 2)))))
(*.f64 (sqrt.f64 2) x)
(*.f64 4 (/.f64 1/2 (/.f64 (/.f64 2 x) (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) x)
(.f64 4 (.f64 1 (/.f64 1/2 (/.f64 (/.f64 2 x) (sqrt.f64 2)))))
(*.f64 (sqrt.f64 2) x)
(.f64 4 (-.f64 (.f64 (sqrt.f64 2) (*.f64 x 1/2)) (/.f64 1/2 (/.f64 (/.f64 2 x) (sqrt.f64 2)))))
(-.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 x 1/2)) 4) (/.f64 2 (/.f64 2 (.f64 (sqrt.f64 2) x))))
(-.f64 (.f64 4 (.f64 (sqrt.f64 2) (.f64 x 1/2))) (.f64 (sqrt.f64 2) x))
(.f64 -2 (/.f64 (.f64 x (sqrt.f64 2)) -2))
(*.f64 (sqrt.f64 2) x)
(.f64 -2 (/.f64 1/2 (/.f64 -1 (.f64 x (sqrt.f64 2)))))
(*.f64 (sqrt.f64 2) x)
(.f64 -2 (.f64 1 (/.f64 (*.f64 x (sqrt.f64 2)) -2)))
(*.f64 (sqrt.f64 2) x)
(.f64 -2 (.f64 1 (/.f64 1/2 (/.f64 -1 (*.f64 x (sqrt.f64 2))))))
(*.f64 (sqrt.f64 2) x)
(*.f64 (/.f64 (sqrt.f64 2) -1/2) (/.f64 1/2 (/.f64 -1 x)))
(*.f64 (sqrt.f64 2) x)
(.f64 (/.f64 (sqrt.f64 2) -1/2) (.f64 1 (/.f64 1/2 (/.f64 -1 x))))
(*.f64 (sqrt.f64 2) x)
(.f64 (/.f64 (sqrt.f64 2) -1/2) (.f64 x -1/2))
(*.f64 (sqrt.f64 2) x)
(.f64 (-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (*.f64 x (sqrt.f64 2))) -1/2)
(*.f64 (sqrt.f64 2) x)
(.f64 (-.f64 (neg.f64 x) x) (.f64 (sqrt.f64 2) -1/2))
(*.f64 (sqrt.f64 2) x)
(neg.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)))
(*.f64 (sqrt.f64 2) x)

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 (sqrt.f64 2) (-.f64 (.f64 x 3) (*.f64 2 x)))
✓	0.8b	(-.f64 (.f64 x 3) (.f64 2 x))

Compiler

Compiled 29 to 22 computations (24.1% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(-.f64 (.f64 x 3) (.f64 2 x))
0.0ms	x	@	0	(.f64 (sqrt.f64 2) (-.f64 (.f64 x 3) (*.f64 2 x)))
0.0ms	x	@	-inf	(-.f64 (.f64 x 3) (.f64 2 x))
0.0ms	x	@	inf	(-.f64 (.f64 x 3) (.f64 2 x))
0.0ms	x	@	inf	(.f64 (sqrt.f64 2) (-.f64 (.f64 x 3) (*.f64 2 x)))

rewrite54.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1078×	`rational.json-simplify-2`
1006×	`rational.json-simplify-29`
986×	`rational.json-simplify-24`
720×	`rational.json-simplify-21`
658×	`rational.json-simplify-23`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	48
1	69	12
2	254	12
3	1367	12

Stop Event

1×	node limit

Counts

2 → 182

Calls

Call 1

Inputs
(-.f64 (.f64 x 3) (.f64 2 x))
(.f64 (sqrt.f64 2) (-.f64 (.f64 x 3) (*.f64 2 x)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 x 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (-.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 3) (*.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 3) (+.f64 (+.f64 x x) (*.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 6) (*.f64 x -5))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 6) (*.f64 1/2 (-.f64 x (*.f64 x 11))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 5) (+.f64 (+.f64 x x) (*.f64 x -6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x -3) (*.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x -2) (*.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x x) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 12) (neg.f64 (*.f64 x 11)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 12) (+.f64 0 (neg.f64 (*.f64 x 11))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 12) (*.f64 1 (neg.f64 (*.f64 x 11))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x -5) (*.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 x 11)) (*.f64 x 12))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x 3) 1/2) (*.f64 1/2 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 9) (+.f64 (*.f64 x -2) (*.f64 x -6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x -6) (+.f64 (*.f64 x -2) (*.f64 x 9)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/2) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x -4) 1/2) (*.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (*.f64 1/2 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (*.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 1/2 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -4) -1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (/.f64 1 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/2 (/.f64 -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 1/2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/4 (/.f64 1/4 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (-.f64 (*.f64 x 6) (*.f64 x -4)) (*.f64 x 11)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 (*.f64 x 12) (*.f64 x 11)) (+.f64 (*.f64 x 12) (*.f64 x 12))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x 9) (*.f64 x 8)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x 11) (*.f64 x 10)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (-.f64 x x) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x . x)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (sqrt.f64 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (sqrt.f64 2)) (-.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (sqrt.f64 2)) (*.f64 x (*.f64 (sqrt.f64 2) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (sqrt.f64 2)) (neg.f64 (*.f64 (sqrt.f64 2) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (sqrt.f64 2)) (neg.f64 (-.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (sqrt.f64 2)) (*.f64 0 (-.f64 x (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (sqrt.f64 2)) (*.f64 0 (-.f64 (sqrt.f64 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (sqrt.f64 2)) (+.f64 0 (*.f64 x (*.f64 (sqrt.f64 2) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (sqrt.f64 2)) (+.f64 0 (neg.f64 (*.f64 (sqrt.f64 2) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (sqrt.f64 2)) (+.f64 (*.f64 (sqrt.f64 2) 0) (*.f64 x (*.f64 (sqrt.f64 2) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (sqrt.f64 2)) (+.f64 (*.f64 (sqrt.f64 2) 0) (neg.f64 (*.f64 (sqrt.f64 2) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (sqrt.f64 2)) (+.f64 0 (neg.f64 (-.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (sqrt.f64 2)) (+.f64 0 (*.f64 0 (-.f64 x (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (sqrt.f64 2)) (+.f64 0 (*.f64 0 (-.f64 (sqrt.f64 2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (sqrt.f64 2)) (+.f64 (*.f64 (sqrt.f64 2) 0) (-.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (sqrt.f64 2)) (+.f64 (*.f64 (sqrt.f64 2) 0) (neg.f64 (-.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (sqrt.f64 2)) (+.f64 (*.f64 (sqrt.f64 2) 0) (*.f64 0 (-.f64 x (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (sqrt.f64 2)) (+.f64 (*.f64 (sqrt.f64 2) 0) (*.f64 0 (-.f64 (sqrt.f64 2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (sqrt.f64 2)) (+.f64 (-.f64 x x) (*.f64 (sqrt.f64 2) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (sqrt.f64 2)) (+.f64 (-.f64 x x) (*.f64 x (*.f64 (sqrt.f64 2) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (sqrt.f64 2)) (+.f64 (-.f64 x x) (neg.f64 (*.f64 (sqrt.f64 2) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (sqrt.f64 2)) (+.f64 (-.f64 x x) (neg.f64 (-.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (sqrt.f64 2)) (+.f64 (-.f64 x x) (*.f64 0 (-.f64 x (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (sqrt.f64 2)) (+.f64 (-.f64 x x) (*.f64 0 (-.f64 (sqrt.f64 2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (sqrt.f64 2)) (*.f64 1 (neg.f64 (*.f64 (sqrt.f64 2) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (sqrt.f64 2)) (*.f64 1 (neg.f64 (-.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (sqrt.f64 2)) (*.f64 1 (*.f64 0 (-.f64 x (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (sqrt.f64 2)) (*.f64 1 (*.f64 0 (-.f64 (sqrt.f64 2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (sqrt.f64 2)) (*.f64 1/2 (neg.f64 (*.f64 (sqrt.f64 2) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3 (*.f64 x (sqrt.f64 2))) (*.f64 x (*.f64 (sqrt.f64 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3 (*.f64 x (sqrt.f64 2))) (+.f64 (*.f64 x (*.f64 (sqrt.f64 2) -2)) (neg.f64 (-.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 x x) (sqrt.f64 2)) (*.f64 (sqrt.f64 2) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) (*.f64 (+.f64 x x) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) 0) (*.f64 x (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x x) (*.f64 x (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 (sqrt.f64 2) 6)) (neg.f64 (*.f64 x (*.f64 (sqrt.f64 2) 5))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 (sqrt.f64 2) 6)) (*.f64 (sqrt.f64 2) (*.f64 x -5)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 (sqrt.f64 2) 6)) (+.f64 0 (neg.f64 (*.f64 x (*.f64 (sqrt.f64 2) 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 (sqrt.f64 2) 6)) (+.f64 (*.f64 (sqrt.f64 2) 0) (neg.f64 (*.f64 x (*.f64 (sqrt.f64 2) 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 (sqrt.f64 2) 6)) (+.f64 (-.f64 x x) (neg.f64 (*.f64 x (*.f64 (sqrt.f64 2) 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 (sqrt.f64 2) 6)) (/.f64 (*.f64 x -5) (/.f64 1 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 (sqrt.f64 2) 6)) (*.f64 1 (neg.f64 (*.f64 x (*.f64 (sqrt.f64 2) 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 (sqrt.f64 2) -2)) (*.f64 3 (*.f64 x (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 (sqrt.f64 2) -3)) (*.f64 x (*.f64 (sqrt.f64 2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 (sqrt.f64 2) -3)) (/.f64 (*.f64 x -4) (/.f64 -1 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 (sqrt.f64 2) 0)) (*.f64 x (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 (sqrt.f64 2) 0)) (*.f64 x (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (-.f64 x x)) (*.f64 x (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 x (*.f64 (sqrt.f64 2) 5))) (*.f64 x (*.f64 (sqrt.f64 2) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (-.f64 x (sqrt.f64 2))) (*.f64 x (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (-.f64 (sqrt.f64 2) x)) (*.f64 x (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) (*.f64 x 12)) (*.f64 (sqrt.f64 2) (neg.f64 (*.f64 x 11))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) (*.f64 x 12)) (/.f64 (neg.f64 (*.f64 x 11)) (/.f64 1 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) (*.f64 x -5)) (*.f64 x (*.f64 (sqrt.f64 2) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 3 (*.f64 x (sqrt.f64 2))) 1/2) (*.f64 1/2 (*.f64 (sqrt.f64 2) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 x x) 1/2) (*.f64 x (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (sqrt.f64 2)) 1/2) (*.f64 1/2 (*.f64 x (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sqrt.f64 2) 0) 1/2) (*.f64 x (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (*.f64 (sqrt.f64 2) -2)) 1/2) (*.f64 1/2 (*.f64 (sqrt.f64 2) (-.f64 x (*.f64 x -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (sqrt.f64 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (sqrt.f64 2)) (-.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (sqrt.f64 2)) (*.f64 x (*.f64 (sqrt.f64 2) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (sqrt.f64 2)) (neg.f64 (*.f64 (sqrt.f64 2) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (sqrt.f64 2)) (neg.f64 (-.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (sqrt.f64 2)) (*.f64 0 (-.f64 x (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (sqrt.f64 2)) (*.f64 0 (-.f64 (sqrt.f64 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (sqrt.f64 2) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 3 (*.f64 x (sqrt.f64 2))) (*.f64 (+.f64 x x) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (+.f64 x x) (sqrt.f64 2)) (*.f64 x (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) (*.f64 x (*.f64 (sqrt.f64 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) 0) (*.f64 (sqrt.f64 2) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 x x) (*.f64 (sqrt.f64 2) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (*.f64 (sqrt.f64 2) 6)) (*.f64 x (*.f64 (sqrt.f64 2) 5)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (*.f64 (sqrt.f64 2) -2)) (*.f64 x (*.f64 (sqrt.f64 2) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (*.f64 (sqrt.f64 2) -3)) (*.f64 (sqrt.f64 2) (-.f64 (*.f64 x -2) (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (*.f64 (sqrt.f64 2) -3)) (*.f64 (sqrt.f64 2) (*.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (*.f64 (sqrt.f64 2) 5)) (*.f64 x (*.f64 (sqrt.f64 2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) (*.f64 x 11)) (/.f64 (-.f64 (*.f64 x 6) (*.f64 x -4)) (/.f64 1 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (*.f64 (sqrt.f64 2) 4)) (*.f64 3 (*.f64 x (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) (*.f64 x 12)) (*.f64 (sqrt.f64 2) (*.f64 x 11)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) (*.f64 x -4)) (*.f64 (sqrt.f64 2) (*.f64 x -5)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) (*.f64 x -5)) (*.f64 (sqrt.f64 2) (*.f64 x -6)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x -5) (/.f64 1 (sqrt.f64 2))) (/.f64 (*.f64 x -6) (/.f64 1 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x -4) (/.f64 1 (sqrt.f64 2))) (/.f64 (*.f64 x -5) (/.f64 1 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 (*.f64 x 12) (*.f64 x 12)) (/.f64 1 (sqrt.f64 2))) (/.f64 (+.f64 (*.f64 x 12) (*.f64 x 11)) (/.f64 1 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x 11) (/.f64 -1 (sqrt.f64 2))) (/.f64 (*.f64 x 12) (/.f64 -1 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x 8) (/.f64 -1 (sqrt.f64 2))) (/.f64 (*.f64 x 9) (/.f64 -1 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x 10) (/.f64 -1 (sqrt.f64 2))) (/.f64 (*.f64 x 11) (/.f64 -1 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 1 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (neg.f64 (/.f64 -1 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x x) (/.f64 (/.f64 1 (sqrt.f64 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 2) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 2) (neg.f64 (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (*.f64 x (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 2)) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (/.f64 -1 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (/.f64 1 x) (/.f64 -1 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 1 (*.f64 (sqrt.f64 2) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (sqrt.f64 2)) (/.f64 (/.f64 1 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 (/.f64 1/2 x) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 (/.f64 1 x) (*.f64 2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 (/.f64 1/2 (sqrt.f64 2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 1 (*.f64 (+.f64 x x) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 (/.f64 1 (*.f64 x (sqrt.f64 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 (/.f64 -1/2 x) (neg.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 -1 (*.f64 x (*.f64 (sqrt.f64 2) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) 1/2) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sqrt.f64 2)) 1/2) (/.f64 -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 1/2) (/.f64 1/2 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (-.f64 (*.f64 x 6) (*.f64 x -4)) (*.f64 x 11)) (/.f64 -1 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 (*.f64 x 12) (*.f64 x 11)) (+.f64 (*.f64 x 12) (*.f64 x 12))) (/.f64 -1 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x 9) (*.f64 x 8)) (/.f64 1 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x 9) (*.f64 x 8)) (neg.f64 (/.f64 -1 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x 11) (*.f64 x 10)) (/.f64 1 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x 11) (*.f64 x 10)) (neg.f64 (/.f64 -1 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x (*.f64 (sqrt.f64 2) 0)) (*.f64 x (sqrt.f64 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (sqrt.f64 2) (-.f64 (*.f64 x -2) (+.f64 x x))) (*.f64 x (*.f64 (sqrt.f64 2) -3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (*.f64 (sqrt.f64 2) -2)) 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 3 (sqrt.f64 2)) (*.f64 2 (sqrt.f64 2))) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (sqrt.f64 2) 0) (sqrt.f64 2)) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 3 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 4)) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (-.f64 x x) x) (/.f64 -1 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)))))))

simplify76.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1170×	`rational.json-simplify-24`
1020×	`rational.json-simplify-1`
522×	`rational.json-simplify-43`
512×	`rational.json-simplify-48`
488×	`rational.json-simplify-28`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	363	1970
1	1172	1900
2	7493	1900

Stop Event

1×	node limit

Counts

206 → 194

Calls

Call 1

Inputs
x
x
x
x
x
x
x
x
x
x
x
x
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(+.f64 x 0)
(+.f64 x (-.f64 x x))
(+.f64 (.f64 x 3) (.f64 x -2))
(+.f64 (.f64 x 3) (+.f64 (+.f64 x x) (.f64 x -4)))
(+.f64 (+.f64 x x) (neg.f64 x))
(+.f64 0 x)
(+.f64 (neg.f64 x) (+.f64 x x))
(+.f64 (.f64 x 6) (.f64 x -5))
(+.f64 (.f64 x 6) (.f64 1/2 (-.f64 x (*.f64 x 11))))
(+.f64 (.f64 x 5) (+.f64 (+.f64 x x) (.f64 x -6)))
(+.f64 (.f64 x -3) (.f64 x 4))
(+.f64 (.f64 x -2) (.f64 x 3))
(+.f64 (-.f64 x x) x)
(+.f64 (.f64 x 12) (neg.f64 (.f64 x 11)))
(+.f64 (.f64 x 12) (+.f64 0 (neg.f64 (.f64 x 11))))
(+.f64 (.f64 x 12) (.f64 1 (neg.f64 (*.f64 x 11))))
(+.f64 (.f64 x -5) (.f64 x 6))
(+.f64 (neg.f64 (.f64 x 11)) (.f64 x 12))
(+.f64 (.f64 (.f64 x 3) 1/2) (*.f64 1/2 (neg.f64 x)))
(+.f64 (.f64 x 9) (+.f64 (.f64 x -2) (*.f64 x -6)))
(+.f64 (.f64 x -6) (+.f64 (.f64 x -2) (*.f64 x 9)))
(+.f64 (.f64 x 1/2) (.f64 x 1/2))
(+.f64 (.f64 (.f64 x -4) 1/2) (*.f64 x 3))
(*.f64 x 1)
(.f64 2 (.f64 x 1/2))
(*.f64 (+.f64 x x) 1/2)
(*.f64 1 x)
(*.f64 (neg.f64 x) -1)
(.f64 (.f64 x -2) -1/2)
(*.f64 -1 (neg.f64 x))
(.f64 -2 (.f64 1/2 (neg.f64 x)))
(.f64 (.f64 x 4) 1/4)
(*.f64 1/2 (+.f64 x x))
(.f64 -1/2 (.f64 x -2))
(.f64 4 (.f64 1/2 (*.f64 x 1/2)))
(.f64 (.f64 x -4) -1/4)
(/.f64 x 1)
(/.f64 2 (/.f64 (/.f64 1 x) 1/2))
(/.f64 (+.f64 x x) 2)
(/.f64 1 (/.f64 1 x))
(/.f64 (neg.f64 x) -1)
(/.f64 (*.f64 x -2) -2)
(/.f64 -1 (/.f64 -1 x))
(/.f64 1/2 (/.f64 1/2 x))
(/.f64 -1/2 (/.f64 -1/2 x))
(/.f64 (*.f64 x 1/2) 1/2)
(/.f64 1/4 (/.f64 1/4 x))
(/.f64 (-.f64 (-.f64 (.f64 x 6) (.f64 x -4)) (*.f64 x 11)) -1)
(/.f64 (-.f64 (+.f64 (.f64 x 12) (.f64 x 11)) (+.f64 (.f64 x 12) (.f64 x 12))) -1)
(/.f64 (-.f64 (.f64 x 9) (.f64 x 8)) 1)
(/.f64 (-.f64 (.f64 x 11) (.f64 x 10)) 1)
(/.f64 (-.f64 (-.f64 x x) x) -1)
(neg.f64 (neg.f64 x))
(+.f64 (*.f64 x (sqrt.f64 2)) 0)
(+.f64 (.f64 x (sqrt.f64 2)) (.f64 (sqrt.f64 2) 0))
(+.f64 (*.f64 x (sqrt.f64 2)) (-.f64 x x))
(+.f64 (.f64 x (sqrt.f64 2)) (.f64 x (*.f64 (sqrt.f64 2) 0)))
(+.f64 (.f64 x (sqrt.f64 2)) (neg.f64 (.f64 (sqrt.f64 2) 0)))
(+.f64 (*.f64 x (sqrt.f64 2)) (neg.f64 (-.f64 x x)))
(+.f64 (.f64 x (sqrt.f64 2)) (.f64 0 (-.f64 x (sqrt.f64 2))))
(+.f64 (.f64 x (sqrt.f64 2)) (.f64 0 (-.f64 (sqrt.f64 2) x)))
(+.f64 (.f64 x (sqrt.f64 2)) (+.f64 0 (.f64 x (*.f64 (sqrt.f64 2) 0))))
(+.f64 (.f64 x (sqrt.f64 2)) (+.f64 0 (neg.f64 (.f64 (sqrt.f64 2) 0))))
(+.f64 (.f64 x (sqrt.f64 2)) (+.f64 (.f64 (sqrt.f64 2) 0) (.f64 x (.f64 (sqrt.f64 2) 0))))
(+.f64 (.f64 x (sqrt.f64 2)) (+.f64 (.f64 (sqrt.f64 2) 0) (neg.f64 (*.f64 (sqrt.f64 2) 0))))
(+.f64 (*.f64 x (sqrt.f64 2)) (+.f64 0 (neg.f64 (-.f64 x x))))
(+.f64 (.f64 x (sqrt.f64 2)) (+.f64 0 (.f64 0 (-.f64 x (sqrt.f64 2)))))
(+.f64 (.f64 x (sqrt.f64 2)) (+.f64 0 (.f64 0 (-.f64 (sqrt.f64 2) x))))
(+.f64 (.f64 x (sqrt.f64 2)) (+.f64 (.f64 (sqrt.f64 2) 0) (-.f64 x x)))
(+.f64 (.f64 x (sqrt.f64 2)) (+.f64 (.f64 (sqrt.f64 2) 0) (neg.f64 (-.f64 x x))))
(+.f64 (.f64 x (sqrt.f64 2)) (+.f64 (.f64 (sqrt.f64 2) 0) (*.f64 0 (-.f64 x (sqrt.f64 2)))))
(+.f64 (.f64 x (sqrt.f64 2)) (+.f64 (.f64 (sqrt.f64 2) 0) (*.f64 0 (-.f64 (sqrt.f64 2) x))))
(+.f64 (.f64 x (sqrt.f64 2)) (+.f64 (-.f64 x x) (.f64 (sqrt.f64 2) 0)))
(+.f64 (.f64 x (sqrt.f64 2)) (+.f64 (-.f64 x x) (.f64 x (*.f64 (sqrt.f64 2) 0))))
(+.f64 (.f64 x (sqrt.f64 2)) (+.f64 (-.f64 x x) (neg.f64 (.f64 (sqrt.f64 2) 0))))
(+.f64 (*.f64 x (sqrt.f64 2)) (+.f64 (-.f64 x x) (neg.f64 (-.f64 x x))))
(+.f64 (.f64 x (sqrt.f64 2)) (+.f64 (-.f64 x x) (.f64 0 (-.f64 x (sqrt.f64 2)))))
(+.f64 (.f64 x (sqrt.f64 2)) (+.f64 (-.f64 x x) (.f64 0 (-.f64 (sqrt.f64 2) x))))
(+.f64 (.f64 x (sqrt.f64 2)) (.f64 1 (neg.f64 (*.f64 (sqrt.f64 2) 0))))
(+.f64 (.f64 x (sqrt.f64 2)) (.f64 1 (neg.f64 (-.f64 x x))))
(+.f64 (.f64 x (sqrt.f64 2)) (.f64 1 (*.f64 0 (-.f64 x (sqrt.f64 2)))))
(+.f64 (.f64 x (sqrt.f64 2)) (.f64 1 (*.f64 0 (-.f64 (sqrt.f64 2) x))))
(+.f64 (.f64 x (sqrt.f64 2)) (.f64 1/2 (neg.f64 (*.f64 (sqrt.f64 2) 0))))
(+.f64 0 (*.f64 x (sqrt.f64 2)))
(+.f64 (.f64 3 (.f64 x (sqrt.f64 2))) (.f64 x (.f64 (sqrt.f64 2) -2)))
(+.f64 (.f64 3 (.f64 x (sqrt.f64 2))) (+.f64 (.f64 x (.f64 (sqrt.f64 2) -2)) (neg.f64 (-.f64 x x))))
(+.f64 (.f64 (+.f64 x x) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (neg.f64 x)))
(+.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 (+.f64 x x) (sqrt.f64 2)))
(+.f64 (.f64 (sqrt.f64 2) 0) (.f64 x (sqrt.f64 2)))
(+.f64 (-.f64 x x) (*.f64 x (sqrt.f64 2)))
(+.f64 (.f64 x (.f64 (sqrt.f64 2) 6)) (neg.f64 (.f64 x (.f64 (sqrt.f64 2) 5))))
(+.f64 (.f64 x (.f64 (sqrt.f64 2) 6)) (.f64 (sqrt.f64 2) (.f64 x -5)))
(+.f64 (.f64 x (.f64 (sqrt.f64 2) 6)) (+.f64 0 (neg.f64 (.f64 x (.f64 (sqrt.f64 2) 5)))))
(+.f64 (.f64 x (.f64 (sqrt.f64 2) 6)) (+.f64 (.f64 (sqrt.f64 2) 0) (neg.f64 (.f64 x (*.f64 (sqrt.f64 2) 5)))))
(+.f64 (.f64 x (.f64 (sqrt.f64 2) 6)) (+.f64 (-.f64 x x) (neg.f64 (.f64 x (.f64 (sqrt.f64 2) 5)))))
(+.f64 (.f64 x (.f64 (sqrt.f64 2) 6)) (/.f64 (*.f64 x -5) (/.f64 1 (sqrt.f64 2))))
(+.f64 (.f64 x (.f64 (sqrt.f64 2) 6)) (.f64 1 (neg.f64 (.f64 x (*.f64 (sqrt.f64 2) 5)))))
(+.f64 (.f64 x (.f64 (sqrt.f64 2) -2)) (.f64 3 (.f64 x (sqrt.f64 2))))
(+.f64 (.f64 x (.f64 (sqrt.f64 2) -3)) (.f64 x (.f64 (sqrt.f64 2) 4)))
(+.f64 (.f64 x (.f64 (sqrt.f64 2) -3)) (/.f64 (*.f64 x -4) (/.f64 -1 (sqrt.f64 2))))
(+.f64 (.f64 x (.f64 (sqrt.f64 2) 0)) (*.f64 x (sqrt.f64 2)))
(+.f64 (neg.f64 (.f64 (sqrt.f64 2) 0)) (.f64 x (sqrt.f64 2)))
(+.f64 (neg.f64 (-.f64 x x)) (*.f64 x (sqrt.f64 2)))
(+.f64 (neg.f64 (.f64 x (.f64 (sqrt.f64 2) 5))) (.f64 x (.f64 (sqrt.f64 2) 6)))
(+.f64 (.f64 0 (-.f64 x (sqrt.f64 2))) (.f64 x (sqrt.f64 2)))
(+.f64 (.f64 0 (-.f64 (sqrt.f64 2) x)) (.f64 x (sqrt.f64 2)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 12)) (.f64 (sqrt.f64 2) (neg.f64 (.f64 x 11))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 12)) (/.f64 (neg.f64 (*.f64 x 11)) (/.f64 1 (sqrt.f64 2))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x -5)) (.f64 x (.f64 (sqrt.f64 2) 6)))
(+.f64 (.f64 (.f64 3 (.f64 x (sqrt.f64 2))) 1/2) (.f64 1/2 (*.f64 (sqrt.f64 2) (neg.f64 x))))
(+.f64 (.f64 (-.f64 x x) 1/2) (.f64 x (sqrt.f64 2)))
(+.f64 (.f64 (.f64 x (sqrt.f64 2)) 1/2) (.f64 1/2 (.f64 x (sqrt.f64 2))))
(+.f64 (.f64 (.f64 (sqrt.f64 2) 0) 1/2) (*.f64 x (sqrt.f64 2)))
(+.f64 (.f64 (.f64 x (.f64 (sqrt.f64 2) -2)) 1/2) (.f64 1/2 (.f64 (sqrt.f64 2) (-.f64 x (.f64 x -3)))))
(-.f64 (*.f64 x (sqrt.f64 2)) 0)
(-.f64 (.f64 x (sqrt.f64 2)) (.f64 (sqrt.f64 2) 0))
(-.f64 (*.f64 x (sqrt.f64 2)) (-.f64 x x))
(-.f64 (.f64 x (sqrt.f64 2)) (.f64 x (*.f64 (sqrt.f64 2) 0)))
(-.f64 (.f64 x (sqrt.f64 2)) (neg.f64 (.f64 (sqrt.f64 2) 0)))
(-.f64 (*.f64 x (sqrt.f64 2)) (neg.f64 (-.f64 x x)))
(-.f64 (.f64 x (sqrt.f64 2)) (.f64 0 (-.f64 x (sqrt.f64 2))))
(-.f64 (.f64 x (sqrt.f64 2)) (.f64 0 (-.f64 (sqrt.f64 2) x)))
(-.f64 0 (*.f64 (sqrt.f64 2) (neg.f64 x)))
(-.f64 (.f64 3 (.f64 x (sqrt.f64 2))) (*.f64 (+.f64 x x) (sqrt.f64 2)))
(-.f64 (.f64 (+.f64 x x) (sqrt.f64 2)) (.f64 x (sqrt.f64 2)))
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 x (*.f64 (sqrt.f64 2) -2)))
(-.f64 (.f64 (sqrt.f64 2) 0) (.f64 (sqrt.f64 2) (neg.f64 x)))
(-.f64 (-.f64 x x) (*.f64 (sqrt.f64 2) (neg.f64 x)))
(-.f64 (.f64 x (.f64 (sqrt.f64 2) 6)) (.f64 x (.f64 (sqrt.f64 2) 5)))
(-.f64 (.f64 x (.f64 (sqrt.f64 2) -2)) (.f64 x (.f64 (sqrt.f64 2) -3)))
(-.f64 (.f64 x (.f64 (sqrt.f64 2) -3)) (.f64 (sqrt.f64 2) (-.f64 (.f64 x -2) (+.f64 x x))))
(-.f64 (.f64 x (.f64 (sqrt.f64 2) -3)) (.f64 (sqrt.f64 2) (.f64 x -4)))
(-.f64 (.f64 x (.f64 (sqrt.f64 2) 5)) (.f64 x (.f64 (sqrt.f64 2) 4)))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x 11)) (/.f64 (-.f64 (.f64 x 6) (.f64 x -4)) (/.f64 1 (sqrt.f64 2))))
(-.f64 (.f64 x (.f64 (sqrt.f64 2) 4)) (.f64 3 (.f64 x (sqrt.f64 2))))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x 12)) (.f64 (sqrt.f64 2) (.f64 x 11)))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x -4)) (.f64 (sqrt.f64 2) (.f64 x -5)))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x -5)) (.f64 (sqrt.f64 2) (.f64 x -6)))
(-.f64 (/.f64 (.f64 x -5) (/.f64 1 (sqrt.f64 2))) (/.f64 (.f64 x -6) (/.f64 1 (sqrt.f64 2))))
(-.f64 (/.f64 (.f64 x -4) (/.f64 1 (sqrt.f64 2))) (/.f64 (.f64 x -5) (/.f64 1 (sqrt.f64 2))))
(-.f64 (/.f64 (+.f64 (.f64 x 12) (.f64 x 12)) (/.f64 1 (sqrt.f64 2))) (/.f64 (+.f64 (.f64 x 12) (.f64 x 11)) (/.f64 1 (sqrt.f64 2))))
(-.f64 (/.f64 (.f64 x 11) (/.f64 -1 (sqrt.f64 2))) (/.f64 (.f64 x 12) (/.f64 -1 (sqrt.f64 2))))
(-.f64 (/.f64 (.f64 x 8) (/.f64 -1 (sqrt.f64 2))) (/.f64 (.f64 x 9) (/.f64 -1 (sqrt.f64 2))))
(-.f64 (/.f64 (.f64 x 10) (/.f64 -1 (sqrt.f64 2))) (/.f64 (.f64 x 11) (/.f64 -1 (sqrt.f64 2))))
(/.f64 x (/.f64 1 (sqrt.f64 2)))
(/.f64 x (neg.f64 (/.f64 -1 (sqrt.f64 2))))
(/.f64 (+.f64 x x) (/.f64 (/.f64 1 (sqrt.f64 2)) 1/2))
(/.f64 (sqrt.f64 2) (/.f64 1 x))
(/.f64 (sqrt.f64 2) (neg.f64 (/.f64 -1 x)))
(/.f64 (*.f64 x (sqrt.f64 2)) 1)
(/.f64 1 (/.f64 1 (*.f64 x (sqrt.f64 2))))
(/.f64 (neg.f64 (sqrt.f64 2)) (/.f64 -1 x))
(/.f64 (neg.f64 x) (/.f64 -1 (sqrt.f64 2)))
(/.f64 -1 (*.f64 (/.f64 1 x) (/.f64 -1 (sqrt.f64 2))))
(/.f64 -1 (/.f64 1 (*.f64 (sqrt.f64 2) (neg.f64 x))))
(/.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) -1)
(/.f64 (*.f64 2 (sqrt.f64 2)) (/.f64 (/.f64 1 x) 1/2))
(/.f64 1/2 (/.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 x x)))
(/.f64 1/2 (/.f64 (/.f64 1/2 x) (sqrt.f64 2)))
(/.f64 1/2 (/.f64 (/.f64 1 x) (*.f64 2 (sqrt.f64 2))))
(/.f64 1/2 (/.f64 (/.f64 1/2 (sqrt.f64 2)) x))
(/.f64 1/2 (/.f64 1 (*.f64 (+.f64 x x) (sqrt.f64 2))))
(/.f64 1/2 (/.f64 (/.f64 1 (*.f64 x (sqrt.f64 2))) 2))
(/.f64 1/2 (/.f64 (/.f64 -1/2 x) (neg.f64 (sqrt.f64 2))))
(/.f64 1/2 (/.f64 -1 (.f64 x (.f64 (sqrt.f64 2) -2))))
(/.f64 (*.f64 (sqrt.f64 2) 1/2) (/.f64 1/2 x))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 2)) 1/2) (/.f64 -1/2 x))
(/.f64 (*.f64 x 1/2) (/.f64 1/2 (sqrt.f64 2)))
(/.f64 (-.f64 (-.f64 (.f64 x 6) (.f64 x -4)) (*.f64 x 11)) (/.f64 -1 (sqrt.f64 2)))
(/.f64 (-.f64 (+.f64 (.f64 x 12) (.f64 x 11)) (+.f64 (.f64 x 12) (.f64 x 12))) (/.f64 -1 (sqrt.f64 2)))
(/.f64 (-.f64 (.f64 x 9) (.f64 x 8)) (/.f64 1 (sqrt.f64 2)))
(/.f64 (-.f64 (.f64 x 9) (.f64 x 8)) (neg.f64 (/.f64 -1 (sqrt.f64 2))))
(/.f64 (-.f64 (.f64 x 11) (.f64 x 10)) (/.f64 1 (sqrt.f64 2)))
(/.f64 (-.f64 (.f64 x 11) (.f64 x 10)) (neg.f64 (/.f64 -1 (sqrt.f64 2))))
(/.f64 (-.f64 (.f64 x (.f64 (sqrt.f64 2) 0)) (*.f64 x (sqrt.f64 2))) -1)
(/.f64 (-.f64 (.f64 (sqrt.f64 2) (-.f64 (.f64 x -2) (+.f64 x x))) (.f64 x (.f64 (sqrt.f64 2) -3))) -1)
(/.f64 (.f64 (.f64 x (*.f64 (sqrt.f64 2) -2)) 1/2) -1)
(/.f64 (-.f64 (.f64 3 (sqrt.f64 2)) (.f64 2 (sqrt.f64 2))) (/.f64 1 x))
(/.f64 (-.f64 (*.f64 (sqrt.f64 2) 0) (sqrt.f64 2)) (/.f64 -1 x))
(/.f64 (-.f64 (.f64 3 (sqrt.f64 2)) (.f64 (sqrt.f64 2) 4)) (/.f64 -1 x))
(/.f64 (-.f64 (-.f64 x x) x) (/.f64 -1 (sqrt.f64 2)))
(neg.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)))

Outputs
x
x
x
x
x
x
x
x
x
x
x
x
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(+.f64 x 0)
x
(+.f64 x (-.f64 x x))
x
(+.f64 (.f64 x 3) (.f64 x -2))
x
(+.f64 (.f64 x 3) (+.f64 (+.f64 x x) (.f64 x -4)))
x
(+.f64 (+.f64 x x) (neg.f64 x))
x
(+.f64 0 x)
x
(+.f64 (neg.f64 x) (+.f64 x x))
x
(+.f64 (.f64 x 6) (.f64 x -5))
x
(+.f64 (.f64 x 6) (.f64 1/2 (-.f64 x (*.f64 x 11))))
x
(+.f64 (.f64 x 5) (+.f64 (+.f64 x x) (.f64 x -6)))
x
(+.f64 (.f64 x -3) (.f64 x 4))
x
(+.f64 (.f64 x -2) (.f64 x 3))
x
(+.f64 (-.f64 x x) x)
x
(+.f64 (.f64 x 12) (neg.f64 (.f64 x 11)))
(+.f64 (.f64 x 12) (.f64 x -11))
(+.f64 (.f64 x 12) (+.f64 0 (neg.f64 (.f64 x 11))))
(+.f64 (.f64 x 12) (neg.f64 (.f64 x 11)))
(+.f64 (.f64 x 12) (.f64 x -11))
(+.f64 (.f64 x 12) (.f64 1 (neg.f64 (*.f64 x 11))))
(+.f64 (.f64 x 12) (neg.f64 (.f64 x 11)))
(+.f64 (.f64 x 12) (.f64 x -11))
(+.f64 (.f64 x -5) (.f64 x 6))
x
(+.f64 (neg.f64 (.f64 x 11)) (.f64 x 12))
(+.f64 (.f64 x 12) (neg.f64 (.f64 x 11)))
(+.f64 (.f64 x 12) (.f64 x -11))
(+.f64 (.f64 (.f64 x 3) 1/2) (*.f64 1/2 (neg.f64 x)))
x
(+.f64 (.f64 x 9) (+.f64 (.f64 x -2) (*.f64 x -6)))
x
(+.f64 (.f64 x -6) (+.f64 (.f64 x -2) (*.f64 x 9)))
x
(+.f64 (.f64 x 1/2) (.f64 x 1/2))
x
(+.f64 (.f64 (.f64 x -4) 1/2) (*.f64 x 3))
x
(*.f64 x 1)
x
(.f64 2 (.f64 x 1/2))
x
(*.f64 (+.f64 x x) 1/2)
x
(*.f64 1 x)
x
(*.f64 (neg.f64 x) -1)
x
(.f64 (.f64 x -2) -1/2)
x
(*.f64 -1 (neg.f64 x))
x
(.f64 -2 (.f64 1/2 (neg.f64 x)))
x
(.f64 (.f64 x 4) 1/4)
x
(*.f64 1/2 (+.f64 x x))
x
(.f64 -1/2 (.f64 x -2))
x
(.f64 4 (.f64 1/2 (*.f64 x 1/2)))
x
(.f64 (.f64 x -4) -1/4)
x
(/.f64 x 1)
x
(/.f64 2 (/.f64 (/.f64 1 x) 1/2))
x
(/.f64 (+.f64 x x) 2)
x
(/.f64 1 (/.f64 1 x))
x
(/.f64 (neg.f64 x) -1)
x
(/.f64 (*.f64 x -2) -2)
x
(/.f64 -1 (/.f64 -1 x))
x
(/.f64 1/2 (/.f64 1/2 x))
x
(/.f64 -1/2 (/.f64 -1/2 x))
x
(/.f64 (*.f64 x 1/2) 1/2)
x
(/.f64 1/4 (/.f64 1/4 x))
x
(/.f64 (-.f64 (-.f64 (.f64 x 6) (.f64 x -4)) (*.f64 x 11)) -1)
x
(/.f64 (-.f64 (+.f64 (.f64 x 12) (.f64 x 11)) (+.f64 (.f64 x 12) (.f64 x 12))) -1)
(+.f64 (.f64 x 12) (neg.f64 (.f64 x 11)))
(+.f64 (.f64 x 12) (.f64 x -11))
(/.f64 (-.f64 (.f64 x 9) (.f64 x 8)) 1)
x
(/.f64 (-.f64 (.f64 x 11) (.f64 x 10)) 1)
x
(/.f64 (-.f64 (-.f64 x x) x) -1)
x
(neg.f64 (neg.f64 x))
x
(+.f64 (*.f64 x (sqrt.f64 2)) 0)
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 x (sqrt.f64 2)) (.f64 (sqrt.f64 2) 0))
(*.f64 x (sqrt.f64 2))
(+.f64 (*.f64 x (sqrt.f64 2)) (-.f64 x x))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 x (sqrt.f64 2)) (.f64 x (*.f64 (sqrt.f64 2) 0)))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 x (sqrt.f64 2)) (neg.f64 (.f64 (sqrt.f64 2) 0)))
(*.f64 x (sqrt.f64 2))
(+.f64 (*.f64 x (sqrt.f64 2)) (neg.f64 (-.f64 x x)))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 x (sqrt.f64 2)) (.f64 0 (-.f64 x (sqrt.f64 2))))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 x (sqrt.f64 2)) (.f64 0 (-.f64 (sqrt.f64 2) x)))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 x (sqrt.f64 2)) (+.f64 0 (.f64 x (*.f64 (sqrt.f64 2) 0))))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 x (sqrt.f64 2)) (+.f64 0 (neg.f64 (.f64 (sqrt.f64 2) 0))))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 x (sqrt.f64 2)) (+.f64 (.f64 (sqrt.f64 2) 0) (.f64 x (.f64 (sqrt.f64 2) 0))))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 x (sqrt.f64 2)) (+.f64 (.f64 (sqrt.f64 2) 0) (neg.f64 (*.f64 (sqrt.f64 2) 0))))
(*.f64 x (sqrt.f64 2))
(+.f64 (*.f64 x (sqrt.f64 2)) (+.f64 0 (neg.f64 (-.f64 x x))))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 x (sqrt.f64 2)) (+.f64 0 (.f64 0 (-.f64 x (sqrt.f64 2)))))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 x (sqrt.f64 2)) (+.f64 0 (.f64 0 (-.f64 (sqrt.f64 2) x))))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 x (sqrt.f64 2)) (+.f64 (.f64 (sqrt.f64 2) 0) (-.f64 x x)))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 x (sqrt.f64 2)) (+.f64 (.f64 (sqrt.f64 2) 0) (neg.f64 (-.f64 x x))))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 x (sqrt.f64 2)) (+.f64 (.f64 (sqrt.f64 2) 0) (*.f64 0 (-.f64 x (sqrt.f64 2)))))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 x (sqrt.f64 2)) (+.f64 (.f64 (sqrt.f64 2) 0) (*.f64 0 (-.f64 (sqrt.f64 2) x))))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 x (sqrt.f64 2)) (+.f64 (-.f64 x x) (.f64 (sqrt.f64 2) 0)))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 x (sqrt.f64 2)) (+.f64 (-.f64 x x) (.f64 x (*.f64 (sqrt.f64 2) 0))))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 x (sqrt.f64 2)) (+.f64 (-.f64 x x) (neg.f64 (.f64 (sqrt.f64 2) 0))))
(*.f64 x (sqrt.f64 2))
(+.f64 (*.f64 x (sqrt.f64 2)) (+.f64 (-.f64 x x) (neg.f64 (-.f64 x x))))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 x (sqrt.f64 2)) (+.f64 (-.f64 x x) (.f64 0 (-.f64 x (sqrt.f64 2)))))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 x (sqrt.f64 2)) (+.f64 (-.f64 x x) (.f64 0 (-.f64 (sqrt.f64 2) x))))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 x (sqrt.f64 2)) (.f64 1 (neg.f64 (*.f64 (sqrt.f64 2) 0))))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 x (sqrt.f64 2)) (.f64 1 (neg.f64 (-.f64 x x))))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 x (sqrt.f64 2)) (.f64 1 (*.f64 0 (-.f64 x (sqrt.f64 2)))))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 x (sqrt.f64 2)) (.f64 1 (*.f64 0 (-.f64 (sqrt.f64 2) x))))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 x (sqrt.f64 2)) (.f64 1/2 (neg.f64 (*.f64 (sqrt.f64 2) 0))))
(*.f64 x (sqrt.f64 2))
(+.f64 0 (*.f64 x (sqrt.f64 2)))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 3 (.f64 x (sqrt.f64 2))) (.f64 x (.f64 (sqrt.f64 2) -2)))
(.f64 x (+.f64 (.f64 (sqrt.f64 2) -2) (*.f64 (sqrt.f64 2) 3)))
(+.f64 (.f64 3 (.f64 x (sqrt.f64 2))) (+.f64 (.f64 x (.f64 (sqrt.f64 2) -2)) (neg.f64 (-.f64 x x))))
(+.f64 (.f64 3 (.f64 x (sqrt.f64 2))) (+.f64 (neg.f64 (-.f64 x x)) (.f64 x (.f64 (sqrt.f64 2) -2))))
(+.f64 (-.f64 x x) (.f64 x (+.f64 (.f64 (sqrt.f64 2) -2) (*.f64 (sqrt.f64 2) 3))))
(+.f64 (.f64 (+.f64 x x) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (neg.f64 x)))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 (+.f64 x x) (sqrt.f64 2)))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 (sqrt.f64 2) 0) (.f64 x (sqrt.f64 2)))
(*.f64 x (sqrt.f64 2))
(+.f64 (-.f64 x x) (*.f64 x (sqrt.f64 2)))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 x (.f64 (sqrt.f64 2) 6)) (neg.f64 (.f64 x (.f64 (sqrt.f64 2) 5))))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 x (.f64 (sqrt.f64 2) 6)) (.f64 (sqrt.f64 2) (.f64 x -5)))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 x (.f64 (sqrt.f64 2) 6)) (+.f64 0 (neg.f64 (.f64 x (.f64 (sqrt.f64 2) 5)))))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 x (.f64 (sqrt.f64 2) 6)) (+.f64 (.f64 (sqrt.f64 2) 0) (neg.f64 (.f64 x (*.f64 (sqrt.f64 2) 5)))))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 x (.f64 (sqrt.f64 2) 6)) (+.f64 (-.f64 x x) (neg.f64 (.f64 x (.f64 (sqrt.f64 2) 5)))))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 x (.f64 (sqrt.f64 2) 6)) (/.f64 (*.f64 x -5) (/.f64 1 (sqrt.f64 2))))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 x (.f64 (sqrt.f64 2) 6)) (.f64 1 (neg.f64 (.f64 x (*.f64 (sqrt.f64 2) 5)))))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 x (.f64 (sqrt.f64 2) -2)) (.f64 3 (.f64 x (sqrt.f64 2))))
(+.f64 (.f64 3 (.f64 x (sqrt.f64 2))) (.f64 x (.f64 (sqrt.f64 2) -2)))
(.f64 x (+.f64 (.f64 (sqrt.f64 2) -2) (*.f64 (sqrt.f64 2) 3)))
(+.f64 (.f64 x (.f64 (sqrt.f64 2) -3)) (.f64 x (.f64 (sqrt.f64 2) 4)))
(.f64 x (+.f64 (.f64 (sqrt.f64 2) -3) (*.f64 (sqrt.f64 2) 4)))
(+.f64 (.f64 x (.f64 (sqrt.f64 2) -3)) (/.f64 (*.f64 x -4) (/.f64 -1 (sqrt.f64 2))))
(+.f64 (.f64 x (.f64 (sqrt.f64 2) -3)) (.f64 x (.f64 (sqrt.f64 2) 4)))
(.f64 x (+.f64 (.f64 (sqrt.f64 2) -3) (*.f64 (sqrt.f64 2) 4)))
(+.f64 (.f64 x (.f64 (sqrt.f64 2) 0)) (*.f64 x (sqrt.f64 2)))
(*.f64 x (sqrt.f64 2))
(+.f64 (neg.f64 (.f64 (sqrt.f64 2) 0)) (.f64 x (sqrt.f64 2)))
(*.f64 x (sqrt.f64 2))
(+.f64 (neg.f64 (-.f64 x x)) (*.f64 x (sqrt.f64 2)))
(*.f64 x (sqrt.f64 2))
(+.f64 (neg.f64 (.f64 x (.f64 (sqrt.f64 2) 5))) (.f64 x (.f64 (sqrt.f64 2) 6)))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 0 (-.f64 x (sqrt.f64 2))) (.f64 x (sqrt.f64 2)))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 0 (-.f64 (sqrt.f64 2) x)) (.f64 x (sqrt.f64 2)))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 12)) (.f64 (sqrt.f64 2) (neg.f64 (.f64 x 11))))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 12)) (/.f64 (neg.f64 (*.f64 x 11)) (/.f64 1 (sqrt.f64 2))))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x -5)) (.f64 x (.f64 (sqrt.f64 2) 6)))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 (.f64 3 (.f64 x (sqrt.f64 2))) 1/2) (.f64 1/2 (*.f64 (sqrt.f64 2) (neg.f64 x))))
(.f64 1/2 (+.f64 (.f64 3 (.f64 x (sqrt.f64 2))) (.f64 (sqrt.f64 2) (neg.f64 x))))
(+.f64 (.f64 (.f64 x (sqrt.f64 2)) 3/2) (.f64 (sqrt.f64 2) (.f64 x -1/2)))
(+.f64 (.f64 (-.f64 x x) 1/2) (.f64 x (sqrt.f64 2)))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 (.f64 x (sqrt.f64 2)) 1/2) (.f64 1/2 (.f64 x (sqrt.f64 2))))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 (.f64 (sqrt.f64 2) 0) 1/2) (*.f64 x (sqrt.f64 2)))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 (.f64 x (.f64 (sqrt.f64 2) -2)) 1/2) (.f64 1/2 (.f64 (sqrt.f64 2) (-.f64 x (.f64 x -3)))))
(*.f64 x (sqrt.f64 2))
(-.f64 (*.f64 x (sqrt.f64 2)) 0)
(*.f64 x (sqrt.f64 2))
(-.f64 (.f64 x (sqrt.f64 2)) (.f64 (sqrt.f64 2) 0))
(*.f64 x (sqrt.f64 2))
(-.f64 (*.f64 x (sqrt.f64 2)) (-.f64 x x))
(*.f64 x (sqrt.f64 2))
(-.f64 (.f64 x (sqrt.f64 2)) (.f64 x (*.f64 (sqrt.f64 2) 0)))
(*.f64 x (sqrt.f64 2))
(-.f64 (.f64 x (sqrt.f64 2)) (neg.f64 (.f64 (sqrt.f64 2) 0)))
(*.f64 x (sqrt.f64 2))
(-.f64 (*.f64 x (sqrt.f64 2)) (neg.f64 (-.f64 x x)))
(*.f64 x (sqrt.f64 2))
(-.f64 (.f64 x (sqrt.f64 2)) (.f64 0 (-.f64 x (sqrt.f64 2))))
(*.f64 x (sqrt.f64 2))
(-.f64 (.f64 x (sqrt.f64 2)) (.f64 0 (-.f64 (sqrt.f64 2) x)))
(*.f64 x (sqrt.f64 2))
(-.f64 0 (*.f64 (sqrt.f64 2) (neg.f64 x)))
(*.f64 x (sqrt.f64 2))
(-.f64 (.f64 3 (.f64 x (sqrt.f64 2))) (*.f64 (+.f64 x x) (sqrt.f64 2)))
(*.f64 x (sqrt.f64 2))
(-.f64 (.f64 (+.f64 x x) (sqrt.f64 2)) (.f64 x (sqrt.f64 2)))
(*.f64 x (sqrt.f64 2))
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 x (*.f64 (sqrt.f64 2) -2)))
(*.f64 x (sqrt.f64 2))
(-.f64 (.f64 (sqrt.f64 2) 0) (.f64 (sqrt.f64 2) (neg.f64 x)))
(*.f64 x (sqrt.f64 2))
(-.f64 (-.f64 x x) (*.f64 (sqrt.f64 2) (neg.f64 x)))
(*.f64 x (sqrt.f64 2))
(-.f64 (.f64 x (.f64 (sqrt.f64 2) 6)) (.f64 x (.f64 (sqrt.f64 2) 5)))
(*.f64 x (sqrt.f64 2))
(-.f64 (.f64 x (.f64 (sqrt.f64 2) -2)) (.f64 x (.f64 (sqrt.f64 2) -3)))
(.f64 x (-.f64 (.f64 (sqrt.f64 2) -2) (*.f64 (sqrt.f64 2) -3)))
(-.f64 (.f64 x (.f64 (sqrt.f64 2) -3)) (.f64 (sqrt.f64 2) (-.f64 (.f64 x -2) (+.f64 x x))))
(*.f64 x (sqrt.f64 2))
(-.f64 (.f64 x (.f64 (sqrt.f64 2) -3)) (.f64 (sqrt.f64 2) (.f64 x -4)))
(*.f64 x (sqrt.f64 2))
(-.f64 (.f64 x (.f64 (sqrt.f64 2) 5)) (.f64 x (.f64 (sqrt.f64 2) 4)))
(.f64 x (-.f64 (.f64 (sqrt.f64 2) 5) (*.f64 (sqrt.f64 2) 4)))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x 11)) (/.f64 (-.f64 (.f64 x 6) (.f64 x -4)) (/.f64 1 (sqrt.f64 2))))
(*.f64 x (sqrt.f64 2))
(-.f64 (.f64 x (.f64 (sqrt.f64 2) 4)) (.f64 3 (.f64 x (sqrt.f64 2))))
(*.f64 x (sqrt.f64 2))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x 12)) (.f64 (sqrt.f64 2) (.f64 x 11)))
(*.f64 x (sqrt.f64 2))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x -4)) (.f64 (sqrt.f64 2) (.f64 x -5)))
(*.f64 x (sqrt.f64 2))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x -5)) (.f64 (sqrt.f64 2) (.f64 x -6)))
(*.f64 x (sqrt.f64 2))
(-.f64 (/.f64 (.f64 x -5) (/.f64 1 (sqrt.f64 2))) (/.f64 (.f64 x -6) (/.f64 1 (sqrt.f64 2))))
(*.f64 x (sqrt.f64 2))
(-.f64 (/.f64 (.f64 x -4) (/.f64 1 (sqrt.f64 2))) (/.f64 (.f64 x -5) (/.f64 1 (sqrt.f64 2))))
(*.f64 x (sqrt.f64 2))
(-.f64 (/.f64 (+.f64 (.f64 x 12) (.f64 x 12)) (/.f64 1 (sqrt.f64 2))) (/.f64 (+.f64 (.f64 x 12) (.f64 x 11)) (/.f64 1 (sqrt.f64 2))))
(*.f64 x (sqrt.f64 2))
(-.f64 (/.f64 (.f64 x 11) (/.f64 -1 (sqrt.f64 2))) (/.f64 (.f64 x 12) (/.f64 -1 (sqrt.f64 2))))
(*.f64 x (sqrt.f64 2))
(-.f64 (/.f64 (.f64 x 8) (/.f64 -1 (sqrt.f64 2))) (/.f64 (.f64 x 9) (/.f64 -1 (sqrt.f64 2))))
(*.f64 x (sqrt.f64 2))
(-.f64 (/.f64 (.f64 x 10) (/.f64 -1 (sqrt.f64 2))) (/.f64 (.f64 x 11) (/.f64 -1 (sqrt.f64 2))))
(*.f64 x (sqrt.f64 2))
(/.f64 x (/.f64 1 (sqrt.f64 2)))
(*.f64 x (sqrt.f64 2))
(/.f64 x (neg.f64 (/.f64 -1 (sqrt.f64 2))))
(*.f64 x (sqrt.f64 2))
(/.f64 (+.f64 x x) (/.f64 (/.f64 1 (sqrt.f64 2)) 1/2))
(*.f64 x (sqrt.f64 2))
(/.f64 (sqrt.f64 2) (/.f64 1 x))
(*.f64 x (sqrt.f64 2))
(/.f64 (sqrt.f64 2) (neg.f64 (/.f64 -1 x)))
(*.f64 x (sqrt.f64 2))
(/.f64 (*.f64 x (sqrt.f64 2)) 1)
(*.f64 x (sqrt.f64 2))
(/.f64 1 (/.f64 1 (*.f64 x (sqrt.f64 2))))
(*.f64 x (sqrt.f64 2))
(/.f64 (neg.f64 (sqrt.f64 2)) (/.f64 -1 x))
(*.f64 x (sqrt.f64 2))
(/.f64 (neg.f64 x) (/.f64 -1 (sqrt.f64 2)))
(*.f64 x (sqrt.f64 2))
(/.f64 -1 (*.f64 (/.f64 1 x) (/.f64 -1 (sqrt.f64 2))))
(*.f64 x (sqrt.f64 2))
(/.f64 -1 (/.f64 1 (*.f64 (sqrt.f64 2) (neg.f64 x))))
(*.f64 x (sqrt.f64 2))
(/.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) -1)
(*.f64 x (sqrt.f64 2))
(/.f64 (*.f64 2 (sqrt.f64 2)) (/.f64 (/.f64 1 x) 1/2))
(*.f64 x (sqrt.f64 2))
(/.f64 1/2 (/.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 x x)))
(*.f64 x (sqrt.f64 2))
(/.f64 1/2 (/.f64 (/.f64 1/2 x) (sqrt.f64 2)))
(*.f64 x (sqrt.f64 2))
(/.f64 1/2 (/.f64 (/.f64 1 x) (*.f64 2 (sqrt.f64 2))))
(*.f64 x (sqrt.f64 2))
(/.f64 1/2 (/.f64 (/.f64 1/2 (sqrt.f64 2)) x))
(*.f64 x (sqrt.f64 2))
(/.f64 1/2 (/.f64 1 (*.f64 (+.f64 x x) (sqrt.f64 2))))
(*.f64 x (sqrt.f64 2))
(/.f64 1/2 (/.f64 (/.f64 1 (*.f64 x (sqrt.f64 2))) 2))
(*.f64 x (sqrt.f64 2))
(/.f64 1/2 (/.f64 (/.f64 -1/2 x) (neg.f64 (sqrt.f64 2))))
(*.f64 x (sqrt.f64 2))
(/.f64 1/2 (/.f64 -1 (.f64 x (.f64 (sqrt.f64 2) -2))))
(*.f64 x (sqrt.f64 2))
(/.f64 (*.f64 (sqrt.f64 2) 1/2) (/.f64 1/2 x))
(*.f64 x (sqrt.f64 2))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 2)) 1/2) (/.f64 -1/2 x))
(*.f64 x (sqrt.f64 2))
(/.f64 (*.f64 x 1/2) (/.f64 1/2 (sqrt.f64 2)))
(*.f64 x (sqrt.f64 2))
(/.f64 (-.f64 (-.f64 (.f64 x 6) (.f64 x -4)) (*.f64 x 11)) (/.f64 -1 (sqrt.f64 2)))
(*.f64 x (sqrt.f64 2))
(/.f64 (-.f64 (+.f64 (.f64 x 12) (.f64 x 11)) (+.f64 (.f64 x 12) (.f64 x 12))) (/.f64 -1 (sqrt.f64 2)))
(*.f64 x (sqrt.f64 2))
(/.f64 (-.f64 (.f64 x 9) (.f64 x 8)) (/.f64 1 (sqrt.f64 2)))
(*.f64 x (sqrt.f64 2))
(/.f64 (-.f64 (.f64 x 9) (.f64 x 8)) (neg.f64 (/.f64 -1 (sqrt.f64 2))))
(*.f64 x (sqrt.f64 2))
(/.f64 (-.f64 (.f64 x 11) (.f64 x 10)) (/.f64 1 (sqrt.f64 2)))
(*.f64 x (sqrt.f64 2))
(/.f64 (-.f64 (.f64 x 11) (.f64 x 10)) (neg.f64 (/.f64 -1 (sqrt.f64 2))))
(*.f64 x (sqrt.f64 2))
(/.f64 (-.f64 (.f64 x (.f64 (sqrt.f64 2) 0)) (*.f64 x (sqrt.f64 2))) -1)
(*.f64 x (sqrt.f64 2))
(/.f64 (-.f64 (.f64 (sqrt.f64 2) (-.f64 (.f64 x -2) (+.f64 x x))) (.f64 x (.f64 (sqrt.f64 2) -3))) -1)
(*.f64 x (sqrt.f64 2))
(/.f64 (.f64 (.f64 x (*.f64 (sqrt.f64 2) -2)) 1/2) -1)
(*.f64 x (sqrt.f64 2))
(/.f64 (-.f64 (.f64 3 (sqrt.f64 2)) (.f64 2 (sqrt.f64 2))) (/.f64 1 x))
(*.f64 x (sqrt.f64 2))
(/.f64 (-.f64 (*.f64 (sqrt.f64 2) 0) (sqrt.f64 2)) (/.f64 -1 x))
(*.f64 x (sqrt.f64 2))
(/.f64 (-.f64 (.f64 3 (sqrt.f64 2)) (.f64 (sqrt.f64 2) 4)) (/.f64 -1 x))
(*.f64 x (sqrt.f64 2))
(/.f64 (-.f64 (-.f64 x x) x) (/.f64 -1 (sqrt.f64 2)))
(*.f64 x (sqrt.f64 2))
(neg.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)))
(*.f64 x (sqrt.f64 2))

localize58.0ms (1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 x (-.f64 (.f64 (sqrt.f64 2) 4) (neg.f64 (*.f64 (sqrt.f64 2) -3))))
✓	1.0b	(*.f64 (sqrt.f64 2) -3)
✓	2.0b	(-.f64 (.f64 (sqrt.f64 2) 4) (neg.f64 (.f64 (sqrt.f64 2) -3)))

Compiler

Compiled 42 to 40 computations (4.8% saved)

series1.0ms (0%)

Counts

3 → 12

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

(*.f64 x (-.f64 (*.f64 (sqrt.f64 2) 4) (neg.f64 (*.f64 (sqrt.f64 2) -3))))

0.0ms

-inf

(*.f64 x (-.f64 (*.f64 (sqrt.f64 2) 4) (neg.f64 (*.f64 (sqrt.f64 2) -3))))

0.0ms

inf

(*.f64 x (-.f64 (*.f64 (sqrt.f64 2) 4) (neg.f64 (*.f64 (sqrt.f64 2) -3))))

rewrite64.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

916×	`rational.json-simplify-24`
854×	`rational.json-simplify-29`
852×	`rational.json-simplify-2`
762×	`rational.json-simplify-21`
678×	`rational.json-simplify-23`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	79
1	83	71
2	286	27
3	1597	27

Stop Event

1×	node limit

Counts

3 → 257

Calls

Call 1

Inputs
(-.f64 (.f64 (sqrt.f64 2) 4) (neg.f64 (.f64 (sqrt.f64 2) -3)))
(*.f64 (sqrt.f64 2) -3)
(.f64 x (-.f64 (.f64 (sqrt.f64 2) 4) (neg.f64 (*.f64 (sqrt.f64 2) -3))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 4 (sqrt.f64 2)) (*.f64 -3 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 4 (sqrt.f64 2)) (+.f64 (*.f64 2 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -5)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -3 (sqrt.f64 2)) (*.f64 4 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) 3) (+.f64 (*.f64 2 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sqrt.f64 2)) (*.f64 2 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) 8) (*.f64 (sqrt.f64 2) -7))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) 8) (*.f64 1/2 (-.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 2) 15))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) 7) (+.f64 (*.f64 2 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -8)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) -4) (+.f64 (*.f64 2 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) -4) (*.f64 -1 (*.f64 (sqrt.f64 2) -5)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) -4) (/.f64 (*.f64 (sqrt.f64 2) -5) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) 0) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (sqrt.f64 2)) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) 16) (neg.f64 (*.f64 (sqrt.f64 2) 15)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) 16) (+.f64 0 (neg.f64 (*.f64 (sqrt.f64 2) 15))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) 16) (*.f64 1 (neg.f64 (*.f64 (sqrt.f64 2) 15))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) -6) (*.f64 (sqrt.f64 2) 7))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) -7) (*.f64 (sqrt.f64 2) 8))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 (sqrt.f64 2) 15)) (*.f64 (sqrt.f64 2) 16))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -3 (sqrt.f64 2)) 1/2) (*.f64 1/2 (-.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 2) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) 1/2) (*.f64 (sqrt.f64 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (sqrt.f64 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 -1 (*.f64 (sqrt.f64 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (-.f64 (*.f64 (sqrt.f64 2) 8) (*.f64 (sqrt.f64 2) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (*.f64 (sqrt.f64 2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (-.f64 (*.f64 (sqrt.f64 2) -8) (*.f64 (sqrt.f64 2) -6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 2) -2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 -1 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 1/2 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 2 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (sqrt.f64 2) 0) (sqrt.f64 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (sqrt.f64 2) -5) (*.f64 (sqrt.f64 2) -4)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (-.f64 (*.f64 (sqrt.f64 2) 8) (*.f64 (sqrt.f64 2) -6)) (*.f64 (sqrt.f64 2) 15)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 (*.f64 (sqrt.f64 2) 16) (*.f64 (sqrt.f64 2) 15)) (+.f64 (*.f64 (sqrt.f64 2) 16) (*.f64 (sqrt.f64 2) 16))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (-.f64 (*.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 6)) (*.f64 -3 (sqrt.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (sqrt.f64 2) 15) (*.f64 (*.f64 (sqrt.f64 2) 7) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 (*.f64 (sqrt.f64 2) 7) (*.f64 (sqrt.f64 2) 6)) (*.f64 (*.f64 (sqrt.f64 2) 6) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 2)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -7))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -3 (sqrt.f64 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -3 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) 3) (*.f64 (sqrt.f64 2) -6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 2) -4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -3 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) 0) (*.f64 -3 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) 6) (*.f64 (sqrt.f64 2) -9))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) -6) (*.f64 (sqrt.f64 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) 12) (*.f64 3 (*.f64 (sqrt.f64 2) -5)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) -7) (*.f64 4 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -3 (sqrt.f64 2)) -3) (*.f64 -3 (*.f64 4 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -3 (sqrt.f64 2)) -3) (*.f64 3 (*.f64 (sqrt.f64 2) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -3 (sqrt.f64 2)) 1/2) (*.f64 (*.f64 -3 (sqrt.f64 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 4 (sqrt.f64 2)) -1/3) (/.f64 (*.f64 -3 (sqrt.f64 2)) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 -3 (sqrt.f64 2)) -1/3) (/.f64 (*.f64 4 (sqrt.f64 2)) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (sqrt.f64 2) 8) -1/3) (/.f64 (*.f64 (sqrt.f64 2) -7) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (sqrt.f64 2) 16) -1/3) (/.f64 (neg.f64 (*.f64 (sqrt.f64 2) 15)) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sqrt.f64 2) 3) -1/2) (*.f64 -1/2 (*.f64 (sqrt.f64 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 4 (sqrt.f64 2)) -3) (*.f64 -3 (*.f64 -3 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sqrt.f64 2) 8) -3) (*.f64 -3 (*.f64 (sqrt.f64 2) -7)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sqrt.f64 2) 16) -3) (*.f64 -3 (neg.f64 (*.f64 (sqrt.f64 2) 15))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sqrt.f64 2) 7) 3) (*.f64 3 (*.f64 (sqrt.f64 2) -8)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sqrt.f64 2) -4) 3) (*.f64 3 (*.f64 (sqrt.f64 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 7))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 -3 (sqrt.f64 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 -3 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) 3) (*.f64 (sqrt.f64 2) 6))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) 3) (/.f64 (*.f64 (sqrt.f64 2) -2) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 2) (*.f64 4 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (sqrt.f64 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) 8) (*.f64 (sqrt.f64 2) 11))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) -6) (*.f64 -3 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 (sqrt.f64 2) -6) 2) (*.f64 (sqrt.f64 2) -9))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 4 (sqrt.f64 2)) -1/3) (/.f64 (*.f64 (sqrt.f64 2) 3) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (sqrt.f64 2) 3) -1/3) (*.f64 (sqrt.f64 2) -6))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (sqrt.f64 2) 3) -1/3) (/.f64 (-.f64 (*.f64 (sqrt.f64 2) 6) (*.f64 4 (sqrt.f64 2))) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 -3 (sqrt.f64 2)) -1/3) (/.f64 (*.f64 (sqrt.f64 2) -4) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (sqrt.f64 2) -4) -1/3) (/.f64 (*.f64 (sqrt.f64 2) -5) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (sqrt.f64 2) 8) -1/3) (/.f64 (*.f64 (sqrt.f64 2) 7) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (sqrt.f64 2) 7) -1/3) (/.f64 (*.f64 (sqrt.f64 2) 6) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (sqrt.f64 2) 16) -1/3) (/.f64 (*.f64 (sqrt.f64 2) 15) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (sqrt.f64 2) 15) -1/3) (/.f64 (-.f64 (*.f64 (sqrt.f64 2) 8) (*.f64 (sqrt.f64 2) -6)) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (sqrt.f64 2) -6) -1/3) (/.f64 (*.f64 (sqrt.f64 2) -7) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (sqrt.f64 2) -7) -1/3) (/.f64 (*.f64 (sqrt.f64 2) -8) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (sqrt.f64 2) 5) -1/3) (/.f64 (*.f64 4 (sqrt.f64 2)) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 2) -6) (*.f64 (sqrt.f64 2) -4)) -1/3) (/.f64 (*.f64 -3 (sqrt.f64 2)) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 (*.f64 (sqrt.f64 2) 16) (*.f64 (sqrt.f64 2) 16)) -1/3) (/.f64 (+.f64 (*.f64 (sqrt.f64 2) 16) (*.f64 (sqrt.f64 2) 15)) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -3 (/.f64 1 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -3 (*.f64 (/.f64 -1 (sqrt.f64 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -3 (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) 3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 2) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 -1/3 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 1/3 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 3 (/.f64 -1 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 -1/6 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/2 (/.f64 1/6 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -3/2 (/.f64 1/2 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -6 (/.f64 (/.f64 1 (sqrt.f64 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 2 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (sqrt.f64 2) 0) (sqrt.f64 2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (sqrt.f64 2) -5) (*.f64 (sqrt.f64 2) -4)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (-.f64 (*.f64 (sqrt.f64 2) 8) (*.f64 (sqrt.f64 2) -6)) (*.f64 (sqrt.f64 2) 15)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 (*.f64 (sqrt.f64 2) 16) (*.f64 (sqrt.f64 2) 15)) (+.f64 (*.f64 (sqrt.f64 2) 16) (*.f64 (sqrt.f64 2) 16))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (sqrt.f64 2) -9) (*.f64 (*.f64 (sqrt.f64 2) -6) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (sqrt.f64 2) 0) (*.f64 (sqrt.f64 2) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 -3 (sqrt.f64 2)) -3) (*.f64 (*.f64 (sqrt.f64 2) 6) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 4 (sqrt.f64 2)) (sqrt.f64 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (sqrt.f64 2) 11) (*.f64 (sqrt.f64 2) 8)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (sqrt.f64 2) -4) (*.f64 (sqrt.f64 2) -7)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (neg.f64 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -4)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (sqrt.f64 2) 0) (*.f64 -3 (sqrt.f64 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (sqrt.f64 2) 3))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) x) (-.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) x) (*.f64 (sqrt.f64 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) x) (*.f64 (sqrt.f64 2) (-.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) x) (neg.f64 (*.f64 (sqrt.f64 2) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) x) (*.f64 0 (-.f64 (sqrt.f64 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) x) (*.f64 0 (-.f64 x (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) x) (+.f64 0 (*.f64 (sqrt.f64 2) (-.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) x) (+.f64 0 (neg.f64 (*.f64 (sqrt.f64 2) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) x) (+.f64 0 (*.f64 0 (-.f64 (sqrt.f64 2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) x) (+.f64 0 (*.f64 0 (-.f64 x (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) x) (+.f64 (-.f64 x x) (*.f64 (sqrt.f64 2) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) x) (+.f64 (-.f64 x x) (*.f64 (sqrt.f64 2) (-.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) x) (+.f64 (-.f64 x x) (neg.f64 (*.f64 (sqrt.f64 2) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) x) (+.f64 (-.f64 x x) (*.f64 0 (-.f64 (sqrt.f64 2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) x) (+.f64 (-.f64 x x) (*.f64 0 (-.f64 x (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) x) (+.f64 (*.f64 (sqrt.f64 2) 0) (-.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) x) (+.f64 (*.f64 (sqrt.f64 2) 0) (*.f64 (sqrt.f64 2) (-.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) x) (+.f64 (*.f64 (sqrt.f64 2) 0) (neg.f64 (*.f64 (sqrt.f64 2) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) x) (+.f64 (*.f64 (sqrt.f64 2) 0) (*.f64 0 (-.f64 (sqrt.f64 2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) x) (+.f64 (*.f64 (sqrt.f64 2) 0) (*.f64 0 (-.f64 x (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) x) (*.f64 1 (neg.f64 (*.f64 (sqrt.f64 2) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) x) (*.f64 1 (*.f64 0 (-.f64 x (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 4 (*.f64 (sqrt.f64 2) x)) (*.f64 -3 (*.f64 (sqrt.f64 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 4 (*.f64 (sqrt.f64 2) x)) (+.f64 (*.f64 -3 (*.f64 (sqrt.f64 2) x)) (neg.f64 (*.f64 (sqrt.f64 2) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) (*.f64 x 3)) (+.f64 (*.f64 2 (*.f64 (sqrt.f64 2) x)) (*.f64 (sqrt.f64 2) (*.f64 -4 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) (*.f64 2 (*.f64 (sqrt.f64 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x x) (*.f64 (sqrt.f64 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) 0) (*.f64 (sqrt.f64 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -3 (*.f64 (sqrt.f64 2) x)) (*.f64 4 (*.f64 (sqrt.f64 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) (*.f64 x 8)) (neg.f64 (*.f64 (sqrt.f64 2) (*.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) (*.f64 x 8)) (*.f64 x (*.f64 (sqrt.f64 2) -7)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) (*.f64 x 8)) (+.f64 0 (neg.f64 (*.f64 (sqrt.f64 2) (*.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) (*.f64 x 8)) (+.f64 (-.f64 x x) (neg.f64 (*.f64 (sqrt.f64 2) (*.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) (*.f64 x 8)) (+.f64 (*.f64 (sqrt.f64 2) 0) (neg.f64 (*.f64 (sqrt.f64 2) (*.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) (*.f64 x 8)) (/.f64 (*.f64 (sqrt.f64 2) -7) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) (*.f64 x 8)) (*.f64 1 (neg.f64 (*.f64 (sqrt.f64 2) (*.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) (*.f64 -4 x)) (*.f64 (neg.f64 x) (*.f64 (sqrt.f64 2) -5)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) (*.f64 -4 x)) (/.f64 (*.f64 (sqrt.f64 2) -5) (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (*.f64 (sqrt.f64 2) x)) (*.f64 (sqrt.f64 2) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) (-.f64 x x)) (*.f64 (sqrt.f64 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 (sqrt.f64 2) 0)) (*.f64 (sqrt.f64 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 (sqrt.f64 2) (*.f64 x 7))) (*.f64 (sqrt.f64 2) (*.f64 x 8)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (-.f64 (sqrt.f64 2) x)) (*.f64 (sqrt.f64 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (-.f64 x (sqrt.f64 2))) (*.f64 (sqrt.f64 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 (sqrt.f64 2) 16)) (*.f64 x (neg.f64 (*.f64 (sqrt.f64 2) 15))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 (sqrt.f64 2) 16)) (/.f64 (neg.f64 (*.f64 (sqrt.f64 2) 15)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 (sqrt.f64 2) -7)) (*.f64 (sqrt.f64 2) (*.f64 x 8)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 4 (*.f64 (sqrt.f64 2) x)) 1/2) (*.f64 (sqrt.f64 2) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sqrt.f64 2) x) 1/2) (*.f64 1/2 (*.f64 (sqrt.f64 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -3 (*.f64 (sqrt.f64 2) x)) 1/2) (*.f64 1/2 (*.f64 (sqrt.f64 2) (-.f64 x (*.f64 x -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) x) (-.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) x) (*.f64 (sqrt.f64 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) x) (*.f64 (sqrt.f64 2) (-.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) x) (neg.f64 (*.f64 (sqrt.f64 2) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) x) (*.f64 0 (-.f64 (sqrt.f64 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) x) (*.f64 0 (-.f64 x (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (sqrt.f64 2) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 4 (*.f64 (sqrt.f64 2) x)) (*.f64 (sqrt.f64 2) (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) (*.f64 x 3)) (*.f64 2 (*.f64 (sqrt.f64 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) (*.f64 x 3)) (/.f64 (-.f64 (*.f64 (sqrt.f64 2) 6) (*.f64 4 (sqrt.f64 2))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) (*.f64 x 3)) (/.f64 (-.f64 (*.f64 (sqrt.f64 2) -6) (*.f64 (sqrt.f64 2) -4)) (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) (*.f64 x 3)) (/.f64 (-.f64 (*.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 6)) (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) (*.f64 x (*.f64 (sqrt.f64 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) (/.f64 (*.f64 2 (*.f64 (sqrt.f64 2) x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) (/.f64 (+.f64 x x) (/.f64 -1 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) (/.f64 (*.f64 2 (sqrt.f64 2)) (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 x x) (*.f64 (sqrt.f64 2) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) 0) (*.f64 (sqrt.f64 2) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 -3 (*.f64 (sqrt.f64 2) x)) (*.f64 (sqrt.f64 2) (*.f64 -4 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) (*.f64 x 8)) (*.f64 (sqrt.f64 2) (*.f64 x 7)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) (*.f64 -4 x)) (*.f64 x (*.f64 (sqrt.f64 2) -5)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) (*.f64 -4 x)) (/.f64 (*.f64 (sqrt.f64 2) 5) (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 2 (*.f64 (sqrt.f64 2) x)) (*.f64 (sqrt.f64 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) (*.f64 x 7)) (*.f64 x (*.f64 (sqrt.f64 2) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (*.f64 (sqrt.f64 2) 5)) (*.f64 4 (*.f64 (sqrt.f64 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (*.f64 (sqrt.f64 2) 15)) (/.f64 (-.f64 (*.f64 (sqrt.f64 2) 8) (*.f64 (sqrt.f64 2) -6)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 -6 (*.f64 (sqrt.f64 2) x)) (*.f64 x (*.f64 (sqrt.f64 2) -7)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 -6 (*.f64 (sqrt.f64 2) x)) (/.f64 (*.f64 (sqrt.f64 2) -7) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (*.f64 (sqrt.f64 2) 16)) (*.f64 x (*.f64 (sqrt.f64 2) 15)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (*.f64 (sqrt.f64 2) -7)) (*.f64 x (*.f64 (sqrt.f64 2) -8)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (sqrt.f64 2) -7) (/.f64 1 x)) (/.f64 (*.f64 (sqrt.f64 2) -8) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 2) -6) (*.f64 (sqrt.f64 2) -4)) (/.f64 1 x)) (*.f64 -3 (*.f64 (sqrt.f64 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) 6) 2) (/.f64 -1 x)) (/.f64 (+.f64 (*.f64 (sqrt.f64 2) 7) (*.f64 (sqrt.f64 2) 6)) (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 (*.f64 (sqrt.f64 2) 16) (*.f64 (sqrt.f64 2) 16)) (/.f64 1 x)) (/.f64 (+.f64 (*.f64 (sqrt.f64 2) 16) (*.f64 (sqrt.f64 2) 15)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (sqrt.f64 2) 15) (/.f64 -1 x)) (/.f64 (*.f64 (sqrt.f64 2) 16) (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 2) 6) (*.f64 4 (sqrt.f64 2))) (/.f64 -1 x)) (*.f64 -3 (*.f64 (sqrt.f64 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) 7) 2) (/.f64 -1 x)) (/.f64 (*.f64 (sqrt.f64 2) 15) (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 2) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 2) (neg.f64 (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 1 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (neg.f64 (/.f64 -1 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (*.f64 (sqrt.f64 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 1 (*.f64 (sqrt.f64 2) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (/.f64 -1 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 2)) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (sqrt.f64 2)) (/.f64 (/.f64 1 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x x) (/.f64 (/.f64 1 (sqrt.f64 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 (/.f64 1 x) (*.f64 2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 (/.f64 1/2 x) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 (/.f64 1/2 (sqrt.f64 2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 1 (*.f64 2 (*.f64 (sqrt.f64 2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 -1 (+.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) (*.f64 (sqrt.f64 2) (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 1/2) (/.f64 1/2 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) 1/2) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 2 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 3)) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (sqrt.f64 2) 0) (sqrt.f64 2)) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (sqrt.f64 2) -5) (*.f64 (sqrt.f64 2) -4)) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (-.f64 (*.f64 (sqrt.f64 2) 8) (*.f64 (sqrt.f64 2) -6)) (*.f64 (sqrt.f64 2) 15)) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 (*.f64 (sqrt.f64 2) 16) (*.f64 (sqrt.f64 2) 15)) (+.f64 (*.f64 (sqrt.f64 2) 16) (*.f64 (sqrt.f64 2) 16))) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (-.f64 x x) x) (/.f64 -1 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (sqrt.f64 2) (-.f64 x x)) (*.f64 (sqrt.f64 2) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 2 (*.f64 (sqrt.f64 2) x)) (*.f64 (sqrt.f64 2) (*.f64 x 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x (*.f64 (sqrt.f64 2) -5)) (*.f64 (sqrt.f64 2) (*.f64 -4 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (-.f64 (*.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 6)) (*.f64 -3 (sqrt.f64 2))) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (-.f64 (*.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 6)) (*.f64 -3 (sqrt.f64 2))) (neg.f64 (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (sqrt.f64 2) 15) (*.f64 (*.f64 (sqrt.f64 2) 7) 2)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (sqrt.f64 2) 15) (*.f64 (*.f64 (sqrt.f64 2) 7) 2)) (neg.f64 (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 (*.f64 (sqrt.f64 2) 7) (*.f64 (sqrt.f64 2) 6)) (*.f64 (*.f64 (sqrt.f64 2) 6) 2)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 (*.f64 (sqrt.f64 2) 7) (*.f64 (sqrt.f64 2) 6)) (*.f64 (*.f64 (sqrt.f64 2) 6) 2)) (neg.f64 (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x 3) (*.f64 4 x)) (/.f64 -1 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 -3 x) (*.f64 x -4)) (/.f64 1 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) (*.f64 (sqrt.f64 2) (neg.f64 x))) (*.f64 (sqrt.f64 2) (neg.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 4 x) (*.f64 -3 x)) (/.f64 1 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 -3 x) (*.f64 4 x)) (/.f64 1 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) (*.f64 (sqrt.f64 2) (neg.f64 x))) 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)))))))

simplify126.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1580×	`rational.json-simplify-24`
528×	`rational.json-simplify-28`
524×	`rational.json-simplify-42`
482×	`rational.json-simplify-29`
480×	`rational.json-simplify-21`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	515	7601
1	1796	4445

Stop Event

1×	node limit

Counts

269 → 312

Calls

Call 1

Inputs
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 -3 (sqrt.f64 2))) x)
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 -3 (sqrt.f64 2))) x)
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 -3 (sqrt.f64 2))) x)
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 -3 (sqrt.f64 2))) x)
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 -3 (sqrt.f64 2))) x)
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 -3 (sqrt.f64 2))) x)
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 -3 (sqrt.f64 2))) x)
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 -3 (sqrt.f64 2))) x)
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 -3 (sqrt.f64 2))) x)
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 -3 (sqrt.f64 2))) x)
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 -3 (sqrt.f64 2))) x)
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 -3 (sqrt.f64 2))) x)
(+.f64 (.f64 4 (sqrt.f64 2)) (.f64 -3 (sqrt.f64 2)))
(+.f64 (.f64 4 (sqrt.f64 2)) (+.f64 (.f64 2 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -5)))
(+.f64 (.f64 -3 (sqrt.f64 2)) (.f64 4 (sqrt.f64 2)))
(+.f64 (.f64 (sqrt.f64 2) 3) (+.f64 (.f64 2 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -4)))
(+.f64 (sqrt.f64 2) 0)
(+.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 2) 0))
(+.f64 0 (sqrt.f64 2))
(+.f64 (neg.f64 (sqrt.f64 2)) (*.f64 2 (sqrt.f64 2)))
(+.f64 (.f64 (sqrt.f64 2) 8) (.f64 (sqrt.f64 2) -7))
(+.f64 (.f64 (sqrt.f64 2) 8) (.f64 1/2 (-.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 2) 15))))
(+.f64 (.f64 (sqrt.f64 2) 7) (+.f64 (.f64 2 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -8)))
(+.f64 (.f64 (sqrt.f64 2) -4) (+.f64 (.f64 2 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 3)))
(+.f64 (.f64 (sqrt.f64 2) -4) (.f64 -1 (*.f64 (sqrt.f64 2) -5)))
(+.f64 (.f64 (sqrt.f64 2) -4) (/.f64 (.f64 (sqrt.f64 2) -5) -1))
(+.f64 (*.f64 (sqrt.f64 2) 0) (sqrt.f64 2))
(+.f64 (*.f64 2 (sqrt.f64 2)) (neg.f64 (sqrt.f64 2)))
(+.f64 (.f64 (sqrt.f64 2) 16) (neg.f64 (.f64 (sqrt.f64 2) 15)))
(+.f64 (.f64 (sqrt.f64 2) 16) (+.f64 0 (neg.f64 (.f64 (sqrt.f64 2) 15))))
(+.f64 (.f64 (sqrt.f64 2) 16) (.f64 1 (neg.f64 (*.f64 (sqrt.f64 2) 15))))
(+.f64 (.f64 (sqrt.f64 2) -6) (.f64 (sqrt.f64 2) 7))
(+.f64 (.f64 (sqrt.f64 2) -7) (.f64 (sqrt.f64 2) 8))
(+.f64 (neg.f64 (.f64 (sqrt.f64 2) 15)) (.f64 (sqrt.f64 2) 16))
(+.f64 (.f64 (.f64 -3 (sqrt.f64 2)) 1/2) (.f64 1/2 (-.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2) -4))))
(+.f64 (.f64 (sqrt.f64 2) 1/2) (.f64 (sqrt.f64 2) 1/2))
(*.f64 (sqrt.f64 2) 1)
(*.f64 1 (sqrt.f64 2))
(*.f64 -1 (neg.f64 (sqrt.f64 2)))
(*.f64 (neg.f64 (sqrt.f64 2)) -1)
(.f64 (.f64 2 (sqrt.f64 2)) 1/2)
(.f64 1/2 (.f64 2 (sqrt.f64 2)))
(.f64 1/2 (.f64 -1 (*.f64 (sqrt.f64 2) -2)))
(.f64 1/2 (-.f64 (.f64 (sqrt.f64 2) 8) (*.f64 (sqrt.f64 2) 6)))
(.f64 -1/2 (.f64 (sqrt.f64 2) -2))
(.f64 -1/2 (-.f64 (.f64 (sqrt.f64 2) -8) (*.f64 (sqrt.f64 2) -6)))
(.f64 (.f64 (sqrt.f64 2) -2) -1/2)
(/.f64 (sqrt.f64 2) 1)
(/.f64 1 (/.f64 1 (sqrt.f64 2)))
(/.f64 -1 (/.f64 -1 (sqrt.f64 2)))
(/.f64 (neg.f64 (sqrt.f64 2)) -1)
(/.f64 1/2 (/.f64 1/2 (sqrt.f64 2)))
(/.f64 (-.f64 (.f64 2 (sqrt.f64 2)) (.f64 (sqrt.f64 2) 3)) -1)
(/.f64 (-.f64 (*.f64 (sqrt.f64 2) 0) (sqrt.f64 2)) -1)
(/.f64 (-.f64 (.f64 (sqrt.f64 2) -5) (.f64 (sqrt.f64 2) -4)) -1)
(/.f64 (-.f64 (-.f64 (.f64 (sqrt.f64 2) 8) (.f64 (sqrt.f64 2) -6)) (*.f64 (sqrt.f64 2) 15)) -1)
(/.f64 (-.f64 (+.f64 (.f64 (sqrt.f64 2) 16) (.f64 (sqrt.f64 2) 15)) (+.f64 (.f64 (sqrt.f64 2) 16) (.f64 (sqrt.f64 2) 16))) -1)
(/.f64 (-.f64 (-.f64 (.f64 4 (sqrt.f64 2)) (.f64 (sqrt.f64 2) 6)) (*.f64 -3 (sqrt.f64 2))) 1)
(/.f64 (-.f64 (.f64 (sqrt.f64 2) 15) (.f64 (*.f64 (sqrt.f64 2) 7) 2)) 1)
(/.f64 (-.f64 (+.f64 (.f64 (sqrt.f64 2) 7) (.f64 (sqrt.f64 2) 6)) (.f64 (.f64 (sqrt.f64 2) 6) 2)) 1)
(neg.f64 (neg.f64 (sqrt.f64 2)))
(sqrt.f64 2)
(+.f64 (.f64 4 (sqrt.f64 2)) (.f64 (sqrt.f64 2) -7))
(+.f64 (*.f64 -3 (sqrt.f64 2)) 0)
(+.f64 (.f64 -3 (sqrt.f64 2)) (.f64 (sqrt.f64 2) 0))
(+.f64 (.f64 (sqrt.f64 2) 3) (.f64 (sqrt.f64 2) -6))
(+.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 2) -4))
(+.f64 0 (*.f64 -3 (sqrt.f64 2)))
(+.f64 (.f64 (sqrt.f64 2) 0) (.f64 -3 (sqrt.f64 2)))
(+.f64 (.f64 (sqrt.f64 2) 6) (.f64 (sqrt.f64 2) -9))
(+.f64 (.f64 (sqrt.f64 2) -6) (.f64 (sqrt.f64 2) 3))
(+.f64 (.f64 (sqrt.f64 2) 12) (.f64 3 (*.f64 (sqrt.f64 2) -5)))
(+.f64 (.f64 (sqrt.f64 2) -7) (.f64 4 (sqrt.f64 2)))
(+.f64 (.f64 (.f64 -3 (sqrt.f64 2)) -3) (.f64 -3 (.f64 4 (sqrt.f64 2))))
(+.f64 (.f64 (.f64 -3 (sqrt.f64 2)) -3) (.f64 3 (.f64 (sqrt.f64 2) -4)))
(+.f64 (.f64 (.f64 -3 (sqrt.f64 2)) 1/2) (.f64 (.f64 -3 (sqrt.f64 2)) 1/2))
(+.f64 (/.f64 (.f64 4 (sqrt.f64 2)) -1/3) (/.f64 (.f64 -3 (sqrt.f64 2)) -1/3))
(+.f64 (/.f64 (.f64 -3 (sqrt.f64 2)) -1/3) (/.f64 (.f64 4 (sqrt.f64 2)) -1/3))
(+.f64 (/.f64 (.f64 (sqrt.f64 2) 8) -1/3) (/.f64 (.f64 (sqrt.f64 2) -7) -1/3))
(+.f64 (/.f64 (.f64 (sqrt.f64 2) 16) -1/3) (/.f64 (neg.f64 (.f64 (sqrt.f64 2) 15)) -1/3))
(+.f64 (.f64 (.f64 (sqrt.f64 2) 3) -1/2) (.f64 -1/2 (.f64 (sqrt.f64 2) 3)))
(+.f64 (.f64 (.f64 4 (sqrt.f64 2)) -3) (.f64 -3 (.f64 -3 (sqrt.f64 2))))
(+.f64 (.f64 (.f64 (sqrt.f64 2) 8) -3) (.f64 -3 (.f64 (sqrt.f64 2) -7)))
(+.f64 (.f64 (.f64 (sqrt.f64 2) 16) -3) (.f64 -3 (neg.f64 (.f64 (sqrt.f64 2) 15))))
(+.f64 (.f64 (.f64 (sqrt.f64 2) 7) 3) (.f64 3 (.f64 (sqrt.f64 2) -8)))
(+.f64 (.f64 (.f64 (sqrt.f64 2) -4) 3) (.f64 3 (.f64 (sqrt.f64 2) 3)))
(-.f64 (.f64 4 (sqrt.f64 2)) (.f64 (sqrt.f64 2) 7))
(-.f64 (*.f64 -3 (sqrt.f64 2)) 0)
(-.f64 (.f64 -3 (sqrt.f64 2)) (.f64 (sqrt.f64 2) 0))
(-.f64 (.f64 (sqrt.f64 2) 3) (.f64 (sqrt.f64 2) 6))
(-.f64 (.f64 (sqrt.f64 2) 3) (/.f64 (.f64 (sqrt.f64 2) -2) -1/3))
(-.f64 (sqrt.f64 2) (*.f64 4 (sqrt.f64 2)))
(-.f64 0 (*.f64 (sqrt.f64 2) 3))
(-.f64 (.f64 (sqrt.f64 2) 8) (.f64 (sqrt.f64 2) 11))
(-.f64 (.f64 (sqrt.f64 2) -6) (.f64 -3 (sqrt.f64 2)))
(-.f64 (.f64 (.f64 (sqrt.f64 2) -6) 2) (*.f64 (sqrt.f64 2) -9))
(-.f64 (/.f64 (.f64 4 (sqrt.f64 2)) -1/3) (/.f64 (.f64 (sqrt.f64 2) 3) -1/3))
(-.f64 (/.f64 (.f64 (sqrt.f64 2) 3) -1/3) (.f64 (sqrt.f64 2) -6))
(-.f64 (/.f64 (.f64 (sqrt.f64 2) 3) -1/3) (/.f64 (-.f64 (.f64 (sqrt.f64 2) 6) (*.f64 4 (sqrt.f64 2))) -1/3))
(-.f64 (/.f64 (.f64 -3 (sqrt.f64 2)) -1/3) (/.f64 (.f64 (sqrt.f64 2) -4) -1/3))
(-.f64 (/.f64 (.f64 (sqrt.f64 2) -4) -1/3) (/.f64 (.f64 (sqrt.f64 2) -5) -1/3))
(-.f64 (/.f64 (.f64 (sqrt.f64 2) 8) -1/3) (/.f64 (.f64 (sqrt.f64 2) 7) -1/3))
(-.f64 (/.f64 (.f64 (sqrt.f64 2) 7) -1/3) (/.f64 (.f64 (sqrt.f64 2) 6) -1/3))
(-.f64 (/.f64 (.f64 (sqrt.f64 2) 16) -1/3) (/.f64 (.f64 (sqrt.f64 2) 15) -1/3))
(-.f64 (/.f64 (.f64 (sqrt.f64 2) 15) -1/3) (/.f64 (-.f64 (.f64 (sqrt.f64 2) 8) (*.f64 (sqrt.f64 2) -6)) -1/3))
(-.f64 (/.f64 (.f64 (sqrt.f64 2) -6) -1/3) (/.f64 (.f64 (sqrt.f64 2) -7) -1/3))
(-.f64 (/.f64 (.f64 (sqrt.f64 2) -7) -1/3) (/.f64 (.f64 (sqrt.f64 2) -8) -1/3))
(-.f64 (/.f64 (.f64 (sqrt.f64 2) 5) -1/3) (/.f64 (.f64 4 (sqrt.f64 2)) -1/3))
(-.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 2) -6) (.f64 (sqrt.f64 2) -4)) -1/3) (/.f64 (*.f64 -3 (sqrt.f64 2)) -1/3))
(-.f64 (/.f64 (+.f64 (.f64 (sqrt.f64 2) 16) (.f64 (sqrt.f64 2) 16)) -1/3) (/.f64 (+.f64 (.f64 (sqrt.f64 2) 16) (.f64 (sqrt.f64 2) 15)) -1/3))
(/.f64 -3 (/.f64 1 (sqrt.f64 2)))
(/.f64 -3 (*.f64 (/.f64 -1 (sqrt.f64 2)) -1))
(/.f64 (*.f64 -3 (sqrt.f64 2)) 1)
(/.f64 (*.f64 (sqrt.f64 2) 3) -1)
(/.f64 (sqrt.f64 2) -1/3)
(/.f64 1 (/.f64 -1/3 (sqrt.f64 2)))
(/.f64 -1 (/.f64 1/3 (sqrt.f64 2)))
(/.f64 (neg.f64 (sqrt.f64 2)) 1/3)
(/.f64 3 (/.f64 -1 (sqrt.f64 2)))
(/.f64 1/2 (/.f64 -1/6 (sqrt.f64 2)))
(/.f64 -1/2 (/.f64 1/6 (sqrt.f64 2)))
(/.f64 -3/2 (/.f64 1/2 (sqrt.f64 2)))
(/.f64 -6 (/.f64 (/.f64 1 (sqrt.f64 2)) 1/2))
(/.f64 (-.f64 (.f64 2 (sqrt.f64 2)) (.f64 (sqrt.f64 2) 3)) 1/3)
(/.f64 (-.f64 (*.f64 (sqrt.f64 2) 0) (sqrt.f64 2)) 1/3)
(/.f64 (-.f64 (.f64 (sqrt.f64 2) -5) (.f64 (sqrt.f64 2) -4)) 1/3)
(/.f64 (-.f64 (-.f64 (.f64 (sqrt.f64 2) 8) (.f64 (sqrt.f64 2) -6)) (*.f64 (sqrt.f64 2) 15)) 1/3)
(/.f64 (-.f64 (+.f64 (.f64 (sqrt.f64 2) 16) (.f64 (sqrt.f64 2) 15)) (+.f64 (.f64 (sqrt.f64 2) 16) (.f64 (sqrt.f64 2) 16))) 1/3)
(/.f64 (-.f64 (.f64 (sqrt.f64 2) -9) (.f64 (*.f64 (sqrt.f64 2) -6) 2)) -1)
(/.f64 (-.f64 (.f64 (sqrt.f64 2) 0) (.f64 (sqrt.f64 2) 3)) 1)
(/.f64 (-.f64 (.f64 (.f64 -3 (sqrt.f64 2)) -3) (.f64 (.f64 (sqrt.f64 2) 6) 2)) 1)
(/.f64 (-.f64 (*.f64 4 (sqrt.f64 2)) (sqrt.f64 2)) -1)
(/.f64 (-.f64 (.f64 (sqrt.f64 2) 11) (.f64 (sqrt.f64 2) 8)) -1)
(/.f64 (-.f64 (.f64 (sqrt.f64 2) -4) (.f64 (sqrt.f64 2) -7)) -1)
(/.f64 (-.f64 (neg.f64 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -4)) -1)
(/.f64 (-.f64 (.f64 (sqrt.f64 2) 0) (.f64 -3 (sqrt.f64 2))) -1)
(neg.f64 (*.f64 (sqrt.f64 2) 3))
(+.f64 (*.f64 (sqrt.f64 2) x) 0)
(+.f64 (*.f64 (sqrt.f64 2) x) (-.f64 x x))
(+.f64 (.f64 (sqrt.f64 2) x) (.f64 (sqrt.f64 2) 0))
(+.f64 (.f64 (sqrt.f64 2) x) (.f64 (sqrt.f64 2) (-.f64 x x)))
(+.f64 (.f64 (sqrt.f64 2) x) (neg.f64 (.f64 (sqrt.f64 2) 0)))
(+.f64 (.f64 (sqrt.f64 2) x) (.f64 0 (-.f64 (sqrt.f64 2) x)))
(+.f64 (.f64 (sqrt.f64 2) x) (.f64 0 (-.f64 x (sqrt.f64 2))))
(+.f64 (.f64 (sqrt.f64 2) x) (+.f64 0 (.f64 (sqrt.f64 2) (-.f64 x x))))
(+.f64 (.f64 (sqrt.f64 2) x) (+.f64 0 (neg.f64 (.f64 (sqrt.f64 2) 0))))
(+.f64 (.f64 (sqrt.f64 2) x) (+.f64 0 (.f64 0 (-.f64 (sqrt.f64 2) x))))
(+.f64 (.f64 (sqrt.f64 2) x) (+.f64 0 (.f64 0 (-.f64 x (sqrt.f64 2)))))
(+.f64 (.f64 (sqrt.f64 2) x) (+.f64 (-.f64 x x) (.f64 (sqrt.f64 2) 0)))
(+.f64 (.f64 (sqrt.f64 2) x) (+.f64 (-.f64 x x) (.f64 (sqrt.f64 2) (-.f64 x x))))
(+.f64 (.f64 (sqrt.f64 2) x) (+.f64 (-.f64 x x) (neg.f64 (.f64 (sqrt.f64 2) 0))))
(+.f64 (.f64 (sqrt.f64 2) x) (+.f64 (-.f64 x x) (.f64 0 (-.f64 (sqrt.f64 2) x))))
(+.f64 (.f64 (sqrt.f64 2) x) (+.f64 (-.f64 x x) (.f64 0 (-.f64 x (sqrt.f64 2)))))
(+.f64 (.f64 (sqrt.f64 2) x) (+.f64 (.f64 (sqrt.f64 2) 0) (-.f64 x x)))
(+.f64 (.f64 (sqrt.f64 2) x) (+.f64 (.f64 (sqrt.f64 2) 0) (*.f64 (sqrt.f64 2) (-.f64 x x))))
(+.f64 (.f64 (sqrt.f64 2) x) (+.f64 (.f64 (sqrt.f64 2) 0) (neg.f64 (*.f64 (sqrt.f64 2) 0))))
(+.f64 (.f64 (sqrt.f64 2) x) (+.f64 (.f64 (sqrt.f64 2) 0) (*.f64 0 (-.f64 (sqrt.f64 2) x))))
(+.f64 (.f64 (sqrt.f64 2) x) (+.f64 (.f64 (sqrt.f64 2) 0) (*.f64 0 (-.f64 x (sqrt.f64 2)))))
(+.f64 (.f64 (sqrt.f64 2) x) (.f64 1 (neg.f64 (*.f64 (sqrt.f64 2) 0))))
(+.f64 (.f64 (sqrt.f64 2) x) (.f64 1 (*.f64 0 (-.f64 x (sqrt.f64 2)))))
(+.f64 0 (*.f64 (sqrt.f64 2) x))
(+.f64 (.f64 4 (.f64 (sqrt.f64 2) x)) (.f64 -3 (.f64 (sqrt.f64 2) x)))
(+.f64 (.f64 4 (.f64 (sqrt.f64 2) x)) (+.f64 (.f64 -3 (.f64 (sqrt.f64 2) x)) (neg.f64 (*.f64 (sqrt.f64 2) 0))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 3)) (+.f64 (.f64 2 (.f64 (sqrt.f64 2) x)) (.f64 (sqrt.f64 2) (.f64 -4 x))))
(+.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 2 (*.f64 (sqrt.f64 2) x)))
(+.f64 (-.f64 x x) (*.f64 (sqrt.f64 2) x))
(+.f64 (.f64 (sqrt.f64 2) 0) (.f64 (sqrt.f64 2) x))
(+.f64 (.f64 -3 (.f64 (sqrt.f64 2) x)) (.f64 4 (.f64 (sqrt.f64 2) x)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 8)) (neg.f64 (.f64 (sqrt.f64 2) (.f64 x 7))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 8)) (.f64 x (.f64 (sqrt.f64 2) -7)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 8)) (+.f64 0 (neg.f64 (.f64 (sqrt.f64 2) (.f64 x 7)))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 8)) (+.f64 (-.f64 x x) (neg.f64 (.f64 (sqrt.f64 2) (.f64 x 7)))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 8)) (+.f64 (.f64 (sqrt.f64 2) 0) (neg.f64 (.f64 (sqrt.f64 2) (*.f64 x 7)))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 8)) (/.f64 (*.f64 (sqrt.f64 2) -7) (/.f64 1 x)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 8)) (.f64 1 (neg.f64 (.f64 (sqrt.f64 2) (*.f64 x 7)))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 -4 x)) (.f64 (neg.f64 x) (.f64 (sqrt.f64 2) -5)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 -4 x)) (/.f64 (*.f64 (sqrt.f64 2) -5) (/.f64 -1 x)))
(+.f64 (.f64 2 (.f64 (sqrt.f64 2) x)) (*.f64 (sqrt.f64 2) (neg.f64 x)))
(+.f64 (.f64 (sqrt.f64 2) (-.f64 x x)) (.f64 (sqrt.f64 2) x))
(+.f64 (neg.f64 (.f64 (sqrt.f64 2) 0)) (.f64 (sqrt.f64 2) x))
(+.f64 (neg.f64 (.f64 (sqrt.f64 2) (.f64 x 7))) (.f64 (sqrt.f64 2) (.f64 x 8)))
(+.f64 (.f64 0 (-.f64 (sqrt.f64 2) x)) (.f64 (sqrt.f64 2) x))
(+.f64 (.f64 0 (-.f64 x (sqrt.f64 2))) (.f64 (sqrt.f64 2) x))
(+.f64 (.f64 x (.f64 (sqrt.f64 2) 16)) (.f64 x (neg.f64 (.f64 (sqrt.f64 2) 15))))
(+.f64 (.f64 x (.f64 (sqrt.f64 2) 16)) (/.f64 (neg.f64 (*.f64 (sqrt.f64 2) 15)) (/.f64 1 x)))
(+.f64 (.f64 x (.f64 (sqrt.f64 2) -7)) (.f64 (sqrt.f64 2) (.f64 x 8)))
(+.f64 (.f64 (.f64 4 (.f64 (sqrt.f64 2) x)) 1/2) (.f64 (sqrt.f64 2) (neg.f64 x)))
(+.f64 (.f64 (.f64 (sqrt.f64 2) x) 1/2) (.f64 1/2 (.f64 (sqrt.f64 2) x)))
(+.f64 (.f64 (.f64 -3 (.f64 (sqrt.f64 2) x)) 1/2) (.f64 1/2 (.f64 (sqrt.f64 2) (-.f64 x (.f64 x -4)))))
(-.f64 (*.f64 (sqrt.f64 2) x) 0)
(-.f64 (*.f64 (sqrt.f64 2) x) (-.f64 x x))
(-.f64 (.f64 (sqrt.f64 2) x) (.f64 (sqrt.f64 2) 0))
(-.f64 (.f64 (sqrt.f64 2) x) (.f64 (sqrt.f64 2) (-.f64 x x)))
(-.f64 (.f64 (sqrt.f64 2) x) (neg.f64 (.f64 (sqrt.f64 2) 0)))
(-.f64 (.f64 (sqrt.f64 2) x) (.f64 0 (-.f64 (sqrt.f64 2) x)))
(-.f64 (.f64 (sqrt.f64 2) x) (.f64 0 (-.f64 x (sqrt.f64 2))))
(-.f64 0 (*.f64 (sqrt.f64 2) (neg.f64 x)))
(-.f64 (.f64 4 (.f64 (sqrt.f64 2) x)) (.f64 (sqrt.f64 2) (.f64 x 3)))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x 3)) (.f64 2 (.f64 (sqrt.f64 2) x)))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x 3)) (/.f64 (-.f64 (.f64 (sqrt.f64 2) 6) (.f64 4 (sqrt.f64 2))) (/.f64 1 x)))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x 3)) (/.f64 (-.f64 (.f64 (sqrt.f64 2) -6) (.f64 (sqrt.f64 2) -4)) (/.f64 -1 x)))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x 3)) (/.f64 (-.f64 (.f64 4 (sqrt.f64 2)) (.f64 (sqrt.f64 2) 6)) (/.f64 -1 x)))
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 x (*.f64 (sqrt.f64 2) -2)))
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (/.f64 (.f64 2 (*.f64 (sqrt.f64 2) x)) -1))
(-.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) (/.f64 (+.f64 x x) (/.f64 -1 (sqrt.f64 2))))
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (/.f64 (.f64 2 (sqrt.f64 2)) (/.f64 -1 x)))
(-.f64 (-.f64 x x) (*.f64 (sqrt.f64 2) (neg.f64 x)))
(-.f64 (.f64 (sqrt.f64 2) 0) (.f64 (sqrt.f64 2) (neg.f64 x)))
(-.f64 (.f64 -3 (.f64 (sqrt.f64 2) x)) (.f64 (sqrt.f64 2) (.f64 -4 x)))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x 8)) (.f64 (sqrt.f64 2) (.f64 x 7)))
(-.f64 (.f64 (sqrt.f64 2) (.f64 -4 x)) (.f64 x (.f64 (sqrt.f64 2) -5)))
(-.f64 (.f64 (sqrt.f64 2) (.f64 -4 x)) (/.f64 (*.f64 (sqrt.f64 2) 5) (/.f64 -1 x)))
(-.f64 (.f64 2 (.f64 (sqrt.f64 2) x)) (*.f64 (sqrt.f64 2) x))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x 7)) (.f64 x (.f64 (sqrt.f64 2) 6)))
(-.f64 (.f64 x (.f64 (sqrt.f64 2) 5)) (.f64 4 (.f64 (sqrt.f64 2) x)))
(-.f64 (.f64 x (.f64 (sqrt.f64 2) 15)) (/.f64 (-.f64 (.f64 (sqrt.f64 2) 8) (.f64 (sqrt.f64 2) -6)) (/.f64 1 x)))
(-.f64 (.f64 -6 (.f64 (sqrt.f64 2) x)) (.f64 x (.f64 (sqrt.f64 2) -7)))
(-.f64 (.f64 -6 (.f64 (sqrt.f64 2) x)) (/.f64 (*.f64 (sqrt.f64 2) -7) (/.f64 1 x)))
(-.f64 (.f64 x (.f64 (sqrt.f64 2) 16)) (.f64 x (.f64 (sqrt.f64 2) 15)))
(-.f64 (.f64 x (.f64 (sqrt.f64 2) -7)) (.f64 x (.f64 (sqrt.f64 2) -8)))
(-.f64 (/.f64 (.f64 (sqrt.f64 2) -7) (/.f64 1 x)) (/.f64 (.f64 (sqrt.f64 2) -8) (/.f64 1 x)))
(-.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 2) -6) (.f64 (sqrt.f64 2) -4)) (/.f64 1 x)) (.f64 -3 (.f64 (sqrt.f64 2) x)))
(-.f64 (/.f64 (.f64 (.f64 (sqrt.f64 2) 6) 2) (/.f64 -1 x)) (/.f64 (+.f64 (.f64 (sqrt.f64 2) 7) (.f64 (sqrt.f64 2) 6)) (/.f64 -1 x)))
(-.f64 (/.f64 (+.f64 (.f64 (sqrt.f64 2) 16) (.f64 (sqrt.f64 2) 16)) (/.f64 1 x)) (/.f64 (+.f64 (.f64 (sqrt.f64 2) 16) (.f64 (sqrt.f64 2) 15)) (/.f64 1 x)))
(-.f64 (/.f64 (.f64 (sqrt.f64 2) 15) (/.f64 -1 x)) (/.f64 (.f64 (sqrt.f64 2) 16) (/.f64 -1 x)))
(-.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 2) 6) (.f64 4 (sqrt.f64 2))) (/.f64 -1 x)) (.f64 -3 (.f64 (sqrt.f64 2) x)))
(-.f64 (/.f64 (.f64 (.f64 (sqrt.f64 2) 7) 2) (/.f64 -1 x)) (/.f64 (*.f64 (sqrt.f64 2) 15) (/.f64 -1 x)))
(/.f64 (sqrt.f64 2) (/.f64 1 x))
(/.f64 (sqrt.f64 2) (neg.f64 (/.f64 -1 x)))
(/.f64 x (/.f64 1 (sqrt.f64 2)))
(/.f64 x (neg.f64 (/.f64 -1 (sqrt.f64 2))))
(/.f64 (*.f64 (sqrt.f64 2) x) 1)
(/.f64 1 (/.f64 1 (*.f64 (sqrt.f64 2) x)))
(/.f64 -1 (/.f64 1 (*.f64 (sqrt.f64 2) (neg.f64 x))))
(/.f64 (neg.f64 x) (/.f64 -1 (sqrt.f64 2)))
(/.f64 (neg.f64 (sqrt.f64 2)) (/.f64 -1 x))
(/.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) -1)
(/.f64 (*.f64 2 (sqrt.f64 2)) (/.f64 (/.f64 1 x) 1/2))
(/.f64 (+.f64 x x) (/.f64 (/.f64 1 (sqrt.f64 2)) 1/2))
(/.f64 1/2 (/.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 x x)))
(/.f64 1/2 (/.f64 (/.f64 1 x) (*.f64 2 (sqrt.f64 2))))
(/.f64 1/2 (/.f64 (/.f64 1/2 x) (sqrt.f64 2)))
(/.f64 1/2 (/.f64 (/.f64 1/2 (sqrt.f64 2)) x))
(/.f64 1/2 (/.f64 1 (.f64 2 (.f64 (sqrt.f64 2) x))))
(/.f64 1/2 (/.f64 -1 (+.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 (sqrt.f64 2) (neg.f64 x)))))
(/.f64 (*.f64 x 1/2) (/.f64 1/2 (sqrt.f64 2)))
(/.f64 (*.f64 (sqrt.f64 2) 1/2) (/.f64 1/2 x))
(/.f64 (-.f64 (.f64 2 (sqrt.f64 2)) (.f64 (sqrt.f64 2) 3)) (/.f64 -1 x))
(/.f64 (-.f64 (*.f64 (sqrt.f64 2) 0) (sqrt.f64 2)) (/.f64 -1 x))
(/.f64 (-.f64 (.f64 (sqrt.f64 2) -5) (.f64 (sqrt.f64 2) -4)) (/.f64 -1 x))
(/.f64 (-.f64 (-.f64 (.f64 (sqrt.f64 2) 8) (.f64 (sqrt.f64 2) -6)) (*.f64 (sqrt.f64 2) 15)) (/.f64 -1 x))
(/.f64 (-.f64 (+.f64 (.f64 (sqrt.f64 2) 16) (.f64 (sqrt.f64 2) 15)) (+.f64 (.f64 (sqrt.f64 2) 16) (.f64 (sqrt.f64 2) 16))) (/.f64 -1 x))
(/.f64 (-.f64 (-.f64 x x) x) (/.f64 -1 (sqrt.f64 2)))
(/.f64 (-.f64 (.f64 (sqrt.f64 2) (-.f64 x x)) (.f64 (sqrt.f64 2) x)) -1)
(/.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 2) x)) (.f64 (sqrt.f64 2) (.f64 x 3))) -1)
(/.f64 (-.f64 (.f64 x (.f64 (sqrt.f64 2) -5)) (.f64 (sqrt.f64 2) (.f64 -4 x))) -1)
(/.f64 (-.f64 (-.f64 (.f64 4 (sqrt.f64 2)) (.f64 (sqrt.f64 2) 6)) (*.f64 -3 (sqrt.f64 2))) (/.f64 1 x))
(/.f64 (-.f64 (-.f64 (.f64 4 (sqrt.f64 2)) (.f64 (sqrt.f64 2) 6)) (*.f64 -3 (sqrt.f64 2))) (neg.f64 (/.f64 -1 x)))
(/.f64 (-.f64 (.f64 (sqrt.f64 2) 15) (.f64 (*.f64 (sqrt.f64 2) 7) 2)) (/.f64 1 x))
(/.f64 (-.f64 (.f64 (sqrt.f64 2) 15) (.f64 (*.f64 (sqrt.f64 2) 7) 2)) (neg.f64 (/.f64 -1 x)))
(/.f64 (-.f64 (+.f64 (.f64 (sqrt.f64 2) 7) (.f64 (sqrt.f64 2) 6)) (.f64 (.f64 (sqrt.f64 2) 6) 2)) (/.f64 1 x))
(/.f64 (-.f64 (+.f64 (.f64 (sqrt.f64 2) 7) (.f64 (sqrt.f64 2) 6)) (.f64 (.f64 (sqrt.f64 2) 6) 2)) (neg.f64 (/.f64 -1 x)))
(/.f64 (-.f64 (.f64 x 3) (.f64 4 x)) (/.f64 -1 (sqrt.f64 2)))
(/.f64 (-.f64 (.f64 -3 x) (.f64 x -4)) (/.f64 1 (sqrt.f64 2)))
(/.f64 (-.f64 (+.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 (sqrt.f64 2) (neg.f64 x))) (*.f64 (sqrt.f64 2) (neg.f64 x))) -1)
(/.f64 (+.f64 (.f64 4 x) (.f64 -3 x)) (/.f64 1 (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 -3 x) (.f64 4 x)) (/.f64 1 (sqrt.f64 2)))
(/.f64 (.f64 (+.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (*.f64 (sqrt.f64 2) (neg.f64 x))) 1/2) -1)
(neg.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)))

Outputs
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 -3 (sqrt.f64 2))) x)
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 -3 (sqrt.f64 2))) x)
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 -3 (sqrt.f64 2))) x)
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 -3 (sqrt.f64 2))) x)
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 -3 (sqrt.f64 2))) x)
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 -3 (sqrt.f64 2))) x)
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 -3 (sqrt.f64 2))) x)
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 -3 (sqrt.f64 2))) x)
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 -3 (sqrt.f64 2))) x)
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 -3 (sqrt.f64 2))) x)
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 -3 (sqrt.f64 2))) x)
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 -3 (sqrt.f64 2))) x)
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(+.f64 (.f64 4 (sqrt.f64 2)) (.f64 -3 (sqrt.f64 2)))
(+.f64 (.f64 4 (sqrt.f64 2)) (.f64 (sqrt.f64 2) -3))
(sqrt.f64 2)
(+.f64 (.f64 4 (sqrt.f64 2)) (+.f64 (.f64 2 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -5)))
(+.f64 (.f64 4 (sqrt.f64 2)) (.f64 (sqrt.f64 2) -3))
(sqrt.f64 2)
(+.f64 (.f64 -3 (sqrt.f64 2)) (.f64 4 (sqrt.f64 2)))
(+.f64 (.f64 4 (sqrt.f64 2)) (.f64 (sqrt.f64 2) -3))
(sqrt.f64 2)
(+.f64 (.f64 (sqrt.f64 2) 3) (+.f64 (.f64 2 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -4)))
(+.f64 (.f64 4 (sqrt.f64 2)) (.f64 (sqrt.f64 2) -3))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) 0)
(+.f64 (.f64 4 (sqrt.f64 2)) (.f64 (sqrt.f64 2) -3))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 2) 0))
(+.f64 (.f64 4 (sqrt.f64 2)) (.f64 (sqrt.f64 2) -3))
(sqrt.f64 2)
(+.f64 0 (sqrt.f64 2))
(+.f64 (.f64 4 (sqrt.f64 2)) (.f64 (sqrt.f64 2) -3))
(sqrt.f64 2)
(+.f64 (neg.f64 (sqrt.f64 2)) (*.f64 2 (sqrt.f64 2)))
(+.f64 (.f64 4 (sqrt.f64 2)) (.f64 (sqrt.f64 2) -3))
(sqrt.f64 2)
(+.f64 (.f64 (sqrt.f64 2) 8) (.f64 (sqrt.f64 2) -7))
(+.f64 (.f64 (sqrt.f64 2) 8) (.f64 1/2 (-.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 2) 15))))
(+.f64 (.f64 (sqrt.f64 2) 8) (.f64 -1/2 (*.f64 (sqrt.f64 2) 14)))
(+.f64 (.f64 (sqrt.f64 2) 7) (+.f64 (.f64 2 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -8)))
(+.f64 (.f64 (sqrt.f64 2) 7) (.f64 (sqrt.f64 2) -6))
(+.f64 (.f64 (sqrt.f64 2) -4) (+.f64 (.f64 2 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 3)))
(+.f64 (.f64 4 (sqrt.f64 2)) (.f64 (sqrt.f64 2) -3))
(sqrt.f64 2)
(+.f64 (.f64 (sqrt.f64 2) -4) (.f64 -1 (*.f64 (sqrt.f64 2) -5)))
(+.f64 (.f64 4 (sqrt.f64 2)) (.f64 (sqrt.f64 2) -3))
(sqrt.f64 2)
(+.f64 (.f64 (sqrt.f64 2) -4) (/.f64 (.f64 (sqrt.f64 2) -5) -1))
(+.f64 (.f64 4 (sqrt.f64 2)) (.f64 (sqrt.f64 2) -3))
(sqrt.f64 2)
(+.f64 (*.f64 (sqrt.f64 2) 0) (sqrt.f64 2))
(+.f64 (.f64 4 (sqrt.f64 2)) (.f64 (sqrt.f64 2) -3))
(sqrt.f64 2)
(+.f64 (*.f64 2 (sqrt.f64 2)) (neg.f64 (sqrt.f64 2)))
(+.f64 (.f64 4 (sqrt.f64 2)) (.f64 (sqrt.f64 2) -3))
(sqrt.f64 2)
(+.f64 (.f64 (sqrt.f64 2) 16) (neg.f64 (.f64 (sqrt.f64 2) 15)))
(+.f64 (.f64 4 (sqrt.f64 2)) (.f64 (sqrt.f64 2) -3))
(sqrt.f64 2)
(+.f64 (.f64 (sqrt.f64 2) 16) (+.f64 0 (neg.f64 (.f64 (sqrt.f64 2) 15))))
(+.f64 (.f64 4 (sqrt.f64 2)) (.f64 (sqrt.f64 2) -3))
(sqrt.f64 2)
(+.f64 (.f64 (sqrt.f64 2) 16) (.f64 1 (neg.f64 (*.f64 (sqrt.f64 2) 15))))
(+.f64 (.f64 4 (sqrt.f64 2)) (.f64 (sqrt.f64 2) -3))
(sqrt.f64 2)
(+.f64 (.f64 (sqrt.f64 2) -6) (.f64 (sqrt.f64 2) 7))
(+.f64 (.f64 (sqrt.f64 2) 7) (.f64 (sqrt.f64 2) -6))
(+.f64 (.f64 (sqrt.f64 2) -7) (.f64 (sqrt.f64 2) 8))
(+.f64 (.f64 (sqrt.f64 2) 8) (.f64 (sqrt.f64 2) -7))
(+.f64 (neg.f64 (.f64 (sqrt.f64 2) 15)) (.f64 (sqrt.f64 2) 16))
(+.f64 (.f64 4 (sqrt.f64 2)) (.f64 (sqrt.f64 2) -3))
(sqrt.f64 2)
(+.f64 (.f64 (.f64 -3 (sqrt.f64 2)) 1/2) (.f64 1/2 (-.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2) -4))))
(.f64 1/2 (+.f64 (.f64 (sqrt.f64 2) -3) (-.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 2) -4))))
(*.f64 1/2 (+.f64 (sqrt.f64 2) (sqrt.f64 2)))
(+.f64 (.f64 (sqrt.f64 2) 1/2) (.f64 (sqrt.f64 2) 1/2))
(*.f64 (sqrt.f64 2) 1)
(+.f64 (.f64 4 (sqrt.f64 2)) (.f64 (sqrt.f64 2) -3))
(sqrt.f64 2)
(*.f64 1 (sqrt.f64 2))
(+.f64 (.f64 4 (sqrt.f64 2)) (.f64 (sqrt.f64 2) -3))
(sqrt.f64 2)
(*.f64 -1 (neg.f64 (sqrt.f64 2)))
(+.f64 (.f64 4 (sqrt.f64 2)) (.f64 (sqrt.f64 2) -3))
(sqrt.f64 2)
(*.f64 (neg.f64 (sqrt.f64 2)) -1)
(+.f64 (.f64 4 (sqrt.f64 2)) (.f64 (sqrt.f64 2) -3))
(sqrt.f64 2)
(.f64 (.f64 2 (sqrt.f64 2)) 1/2)
(+.f64 (.f64 4 (sqrt.f64 2)) (.f64 (sqrt.f64 2) -3))
(sqrt.f64 2)
(.f64 1/2 (.f64 2 (sqrt.f64 2)))
(+.f64 (.f64 4 (sqrt.f64 2)) (.f64 (sqrt.f64 2) -3))
(sqrt.f64 2)
(.f64 1/2 (.f64 -1 (*.f64 (sqrt.f64 2) -2)))
(+.f64 (.f64 4 (sqrt.f64 2)) (.f64 (sqrt.f64 2) -3))
(sqrt.f64 2)
(.f64 1/2 (-.f64 (.f64 (sqrt.f64 2) 8) (*.f64 (sqrt.f64 2) 6)))
(+.f64 (.f64 4 (sqrt.f64 2)) (.f64 (sqrt.f64 2) -3))
(sqrt.f64 2)
(.f64 -1/2 (.f64 (sqrt.f64 2) -2))
(+.f64 (.f64 4 (sqrt.f64 2)) (.f64 (sqrt.f64 2) -3))
(sqrt.f64 2)
(.f64 -1/2 (-.f64 (.f64 (sqrt.f64 2) -8) (*.f64 (sqrt.f64 2) -6)))
(+.f64 (.f64 4 (sqrt.f64 2)) (.f64 (sqrt.f64 2) -3))
(sqrt.f64 2)
(.f64 (.f64 (sqrt.f64 2) -2) -1/2)
(+.f64 (.f64 4 (sqrt.f64 2)) (.f64 (sqrt.f64 2) -3))
(sqrt.f64 2)
(/.f64 (sqrt.f64 2) 1)
(+.f64 (.f64 4 (sqrt.f64 2)) (.f64 (sqrt.f64 2) -3))
(sqrt.f64 2)
(/.f64 1 (/.f64 1 (sqrt.f64 2)))
(+.f64 (.f64 4 (sqrt.f64 2)) (.f64 (sqrt.f64 2) -3))
(sqrt.f64 2)
(/.f64 -1 (/.f64 -1 (sqrt.f64 2)))
(+.f64 (.f64 4 (sqrt.f64 2)) (.f64 (sqrt.f64 2) -3))
(sqrt.f64 2)
(/.f64 (neg.f64 (sqrt.f64 2)) -1)
(+.f64 (.f64 4 (sqrt.f64 2)) (.f64 (sqrt.f64 2) -3))
(sqrt.f64 2)
(/.f64 1/2 (/.f64 1/2 (sqrt.f64 2)))
(+.f64 (.f64 4 (sqrt.f64 2)) (.f64 (sqrt.f64 2) -3))
(sqrt.f64 2)
(/.f64 (-.f64 (.f64 2 (sqrt.f64 2)) (.f64 (sqrt.f64 2) 3)) -1)
(+.f64 (.f64 4 (sqrt.f64 2)) (.f64 (sqrt.f64 2) -3))
(sqrt.f64 2)
(/.f64 (-.f64 (*.f64 (sqrt.f64 2) 0) (sqrt.f64 2)) -1)
(+.f64 (.f64 4 (sqrt.f64 2)) (.f64 (sqrt.f64 2) -3))
(sqrt.f64 2)
(/.f64 (-.f64 (.f64 (sqrt.f64 2) -5) (.f64 (sqrt.f64 2) -4)) -1)
(+.f64 (.f64 4 (sqrt.f64 2)) (.f64 (sqrt.f64 2) -3))
(sqrt.f64 2)
(/.f64 (-.f64 (-.f64 (.f64 (sqrt.f64 2) 8) (.f64 (sqrt.f64 2) -6)) (*.f64 (sqrt.f64 2) 15)) -1)
(+.f64 (.f64 4 (sqrt.f64 2)) (.f64 (sqrt.f64 2) -3))
(sqrt.f64 2)
(/.f64 (-.f64 (+.f64 (.f64 (sqrt.f64 2) 16) (.f64 (sqrt.f64 2) 15)) (+.f64 (.f64 (sqrt.f64 2) 16) (.f64 (sqrt.f64 2) 16))) -1)
(+.f64 (.f64 4 (sqrt.f64 2)) (.f64 (sqrt.f64 2) -3))
(sqrt.f64 2)
(/.f64 (-.f64 (-.f64 (.f64 4 (sqrt.f64 2)) (.f64 (sqrt.f64 2) 6)) (*.f64 -3 (sqrt.f64 2))) 1)
(+.f64 (.f64 4 (sqrt.f64 2)) (.f64 (sqrt.f64 2) -3))
(sqrt.f64 2)
(/.f64 (-.f64 (.f64 (sqrt.f64 2) 15) (.f64 (*.f64 (sqrt.f64 2) 7) 2)) 1)
(+.f64 (.f64 4 (sqrt.f64 2)) (.f64 (sqrt.f64 2) -3))
(sqrt.f64 2)
(/.f64 (-.f64 (+.f64 (.f64 (sqrt.f64 2) 7) (.f64 (sqrt.f64 2) 6)) (.f64 (.f64 (sqrt.f64 2) 6) 2)) 1)
(+.f64 (.f64 (sqrt.f64 2) 7) (-.f64 (.f64 (sqrt.f64 2) 6) (.f64 2 (.f64 (sqrt.f64 2) 6))))
(+.f64 (.f64 (sqrt.f64 2) 7) (-.f64 (.f64 (sqrt.f64 2) 6) (*.f64 (sqrt.f64 2) 12)))
(neg.f64 (neg.f64 (sqrt.f64 2)))
(+.f64 (.f64 4 (sqrt.f64 2)) (.f64 (sqrt.f64 2) -3))
(sqrt.f64 2)
(sqrt.f64 2)
(+.f64 (.f64 4 (sqrt.f64 2)) (.f64 (sqrt.f64 2) -3))
(+.f64 (.f64 4 (sqrt.f64 2)) (.f64 (sqrt.f64 2) -7))
(*.f64 (sqrt.f64 2) -3)
(+.f64 (*.f64 -3 (sqrt.f64 2)) 0)
(*.f64 (sqrt.f64 2) -3)
(+.f64 (.f64 -3 (sqrt.f64 2)) (.f64 (sqrt.f64 2) 0))
(*.f64 (sqrt.f64 2) -3)
(+.f64 (.f64 (sqrt.f64 2) 3) (.f64 (sqrt.f64 2) -6))
(+.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 2) -4))
(*.f64 (sqrt.f64 2) -3)
(+.f64 0 (*.f64 -3 (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) -3)
(+.f64 (.f64 (sqrt.f64 2) 0) (.f64 -3 (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) -3)
(+.f64 (.f64 (sqrt.f64 2) 6) (.f64 (sqrt.f64 2) -9))
(+.f64 (.f64 (sqrt.f64 2) -6) (.f64 (sqrt.f64 2) 3))
(+.f64 (.f64 (sqrt.f64 2) 3) (.f64 (sqrt.f64 2) -6))
(+.f64 (.f64 (sqrt.f64 2) 12) (.f64 3 (*.f64 (sqrt.f64 2) -5)))
(+.f64 (.f64 (sqrt.f64 2) 12) (.f64 (sqrt.f64 2) -15))
(+.f64 (.f64 (sqrt.f64 2) -7) (.f64 4 (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) -3)
(+.f64 (.f64 (.f64 -3 (sqrt.f64 2)) -3) (.f64 -3 (.f64 4 (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) -3)
(+.f64 (.f64 (.f64 -3 (sqrt.f64 2)) -3) (.f64 3 (.f64 (sqrt.f64 2) -4)))
(*.f64 (sqrt.f64 2) -3)
(+.f64 (.f64 (.f64 -3 (sqrt.f64 2)) 1/2) (.f64 (.f64 -3 (sqrt.f64 2)) 1/2))
(+.f64 (.f64 (.f64 (sqrt.f64 2) -3) 1/2) (.f64 (.f64 (sqrt.f64 2) -3) 1/2))
(+.f64 (.f64 (sqrt.f64 2) -3/2) (.f64 (sqrt.f64 2) -3/2))
(+.f64 (/.f64 (.f64 4 (sqrt.f64 2)) -1/3) (/.f64 (.f64 -3 (sqrt.f64 2)) -1/3))
(*.f64 (sqrt.f64 2) -3)
(+.f64 (/.f64 (.f64 -3 (sqrt.f64 2)) -1/3) (/.f64 (.f64 4 (sqrt.f64 2)) -1/3))
(*.f64 (sqrt.f64 2) -3)
(+.f64 (/.f64 (.f64 (sqrt.f64 2) 8) -1/3) (/.f64 (.f64 (sqrt.f64 2) -7) -1/3))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) 8) (.f64 (sqrt.f64 2) -7)) -1/3)
(+.f64 (.f64 (sqrt.f64 2) -24) (.f64 (sqrt.f64 2) 21))
(+.f64 (/.f64 (.f64 (sqrt.f64 2) 16) -1/3) (/.f64 (neg.f64 (.f64 (sqrt.f64 2) 15)) -1/3))
(*.f64 (sqrt.f64 2) -3)
(+.f64 (.f64 (.f64 (sqrt.f64 2) 3) -1/2) (.f64 -1/2 (.f64 (sqrt.f64 2) 3)))
(+.f64 (.f64 (.f64 (sqrt.f64 2) -3) 1/2) (.f64 (.f64 (sqrt.f64 2) -3) 1/2))
(+.f64 (.f64 (sqrt.f64 2) -3/2) (.f64 (sqrt.f64 2) -3/2))
(+.f64 (.f64 (.f64 4 (sqrt.f64 2)) -3) (.f64 -3 (.f64 -3 (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) -3)
(+.f64 (.f64 (.f64 (sqrt.f64 2) 8) -3) (.f64 -3 (.f64 (sqrt.f64 2) -7)))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) 8) (.f64 (sqrt.f64 2) -7)) -1/3)
(+.f64 (.f64 (sqrt.f64 2) -24) (.f64 (sqrt.f64 2) 21))
(+.f64 (.f64 (.f64 (sqrt.f64 2) 16) -3) (.f64 -3 (neg.f64 (.f64 (sqrt.f64 2) 15))))
(*.f64 (sqrt.f64 2) -3)
(+.f64 (.f64 (.f64 (sqrt.f64 2) 7) 3) (.f64 3 (.f64 (sqrt.f64 2) -8)))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) 8) (.f64 (sqrt.f64 2) -7)) -1/3)
(+.f64 (.f64 (sqrt.f64 2) -24) (.f64 (sqrt.f64 2) 21))
(+.f64 (.f64 (.f64 (sqrt.f64 2) -4) 3) (.f64 3 (.f64 (sqrt.f64 2) 3)))
(*.f64 (sqrt.f64 2) -3)
(-.f64 (.f64 4 (sqrt.f64 2)) (.f64 (sqrt.f64 2) 7))
(*.f64 (sqrt.f64 2) -3)
(-.f64 (*.f64 -3 (sqrt.f64 2)) 0)
(*.f64 (sqrt.f64 2) -3)
(-.f64 (.f64 -3 (sqrt.f64 2)) (.f64 (sqrt.f64 2) 0))
(*.f64 (sqrt.f64 2) -3)
(-.f64 (.f64 (sqrt.f64 2) 3) (.f64 (sqrt.f64 2) 6))
(*.f64 (sqrt.f64 2) -3)
(-.f64 (.f64 (sqrt.f64 2) 3) (/.f64 (.f64 (sqrt.f64 2) -2) -1/3))
(*.f64 (sqrt.f64 2) -3)
(-.f64 (sqrt.f64 2) (*.f64 4 (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) -3)
(-.f64 0 (*.f64 (sqrt.f64 2) 3))
(*.f64 (sqrt.f64 2) -3)
(-.f64 (.f64 (sqrt.f64 2) 8) (.f64 (sqrt.f64 2) 11))
(*.f64 (sqrt.f64 2) -3)
(-.f64 (.f64 (sqrt.f64 2) -6) (.f64 -3 (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) -3)
(-.f64 (.f64 (.f64 (sqrt.f64 2) -6) 2) (*.f64 (sqrt.f64 2) -9))
(*.f64 (sqrt.f64 2) -3)
(-.f64 (/.f64 (.f64 4 (sqrt.f64 2)) -1/3) (/.f64 (.f64 (sqrt.f64 2) 3) -1/3))
(*.f64 (sqrt.f64 2) -3)
(-.f64 (/.f64 (.f64 (sqrt.f64 2) 3) -1/3) (.f64 (sqrt.f64 2) -6))
(-.f64 (.f64 (sqrt.f64 2) -9) (.f64 (sqrt.f64 2) -6))
(-.f64 (/.f64 (.f64 (sqrt.f64 2) 3) -1/3) (/.f64 (-.f64 (.f64 (sqrt.f64 2) 6) (*.f64 4 (sqrt.f64 2))) -1/3))
(*.f64 (sqrt.f64 2) -3)
(-.f64 (/.f64 (.f64 -3 (sqrt.f64 2)) -1/3) (/.f64 (.f64 (sqrt.f64 2) -4) -1/3))
(*.f64 (sqrt.f64 2) -3)
(-.f64 (/.f64 (.f64 (sqrt.f64 2) -4) -1/3) (/.f64 (.f64 (sqrt.f64 2) -5) -1/3))
(*.f64 (sqrt.f64 2) -3)
(-.f64 (/.f64 (.f64 (sqrt.f64 2) 8) -1/3) (/.f64 (.f64 (sqrt.f64 2) 7) -1/3))
(*.f64 (sqrt.f64 2) -3)
(-.f64 (/.f64 (.f64 (sqrt.f64 2) 7) -1/3) (/.f64 (.f64 (sqrt.f64 2) 6) -1/3))
(*.f64 (sqrt.f64 2) -3)
(-.f64 (/.f64 (.f64 (sqrt.f64 2) 16) -1/3) (/.f64 (.f64 (sqrt.f64 2) 15) -1/3))
(*.f64 (sqrt.f64 2) -3)
(-.f64 (/.f64 (.f64 (sqrt.f64 2) 15) -1/3) (/.f64 (-.f64 (.f64 (sqrt.f64 2) 8) (*.f64 (sqrt.f64 2) -6)) -1/3))
(*.f64 (sqrt.f64 2) -3)
(-.f64 (/.f64 (.f64 (sqrt.f64 2) -6) -1/3) (/.f64 (.f64 (sqrt.f64 2) -7) -1/3))
(*.f64 (sqrt.f64 2) -3)
(-.f64 (/.f64 (.f64 (sqrt.f64 2) -7) -1/3) (/.f64 (.f64 (sqrt.f64 2) -8) -1/3))
(*.f64 (sqrt.f64 2) -3)
(-.f64 (/.f64 (.f64 (sqrt.f64 2) 5) -1/3) (/.f64 (.f64 4 (sqrt.f64 2)) -1/3))
(*.f64 (sqrt.f64 2) -3)
(-.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 2) -6) (.f64 (sqrt.f64 2) -4)) -1/3) (/.f64 (*.f64 -3 (sqrt.f64 2)) -1/3))
(*.f64 (sqrt.f64 2) -3)
(-.f64 (/.f64 (+.f64 (.f64 (sqrt.f64 2) 16) (.f64 (sqrt.f64 2) 16)) -1/3) (/.f64 (+.f64 (.f64 (sqrt.f64 2) 16) (.f64 (sqrt.f64 2) 15)) -1/3))
(*.f64 (sqrt.f64 2) -3)
(/.f64 -3 (/.f64 1 (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) -3)
(/.f64 -3 (*.f64 (/.f64 -1 (sqrt.f64 2)) -1))
(*.f64 (sqrt.f64 2) -3)
(/.f64 (*.f64 -3 (sqrt.f64 2)) 1)
(*.f64 (sqrt.f64 2) -3)
(/.f64 (*.f64 (sqrt.f64 2) 3) -1)
(*.f64 (sqrt.f64 2) -3)
(/.f64 (sqrt.f64 2) -1/3)
(*.f64 (sqrt.f64 2) -3)
(/.f64 1 (/.f64 -1/3 (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) -3)
(/.f64 -1 (/.f64 1/3 (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) -3)
(/.f64 (neg.f64 (sqrt.f64 2)) 1/3)
(*.f64 (sqrt.f64 2) -3)
(/.f64 3 (/.f64 -1 (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) -3)
(/.f64 1/2 (/.f64 -1/6 (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) -3)
(/.f64 -1/2 (/.f64 1/6 (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) -3)
(/.f64 -3/2 (/.f64 1/2 (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) -3)
(/.f64 -6 (/.f64 (/.f64 1 (sqrt.f64 2)) 1/2))
(*.f64 (sqrt.f64 2) -3)
(/.f64 (-.f64 (.f64 2 (sqrt.f64 2)) (.f64 (sqrt.f64 2) 3)) 1/3)
(*.f64 (sqrt.f64 2) -3)
(/.f64 (-.f64 (*.f64 (sqrt.f64 2) 0) (sqrt.f64 2)) 1/3)
(*.f64 (sqrt.f64 2) -3)
(/.f64 (-.f64 (.f64 (sqrt.f64 2) -5) (.f64 (sqrt.f64 2) -4)) 1/3)
(*.f64 (sqrt.f64 2) -3)
(/.f64 (-.f64 (-.f64 (.f64 (sqrt.f64 2) 8) (.f64 (sqrt.f64 2) -6)) (*.f64 (sqrt.f64 2) 15)) 1/3)
(*.f64 (sqrt.f64 2) -3)
(/.f64 (-.f64 (+.f64 (.f64 (sqrt.f64 2) 16) (.f64 (sqrt.f64 2) 15)) (+.f64 (.f64 (sqrt.f64 2) 16) (.f64 (sqrt.f64 2) 16))) 1/3)
(*.f64 (sqrt.f64 2) -3)
(/.f64 (-.f64 (.f64 (sqrt.f64 2) -9) (.f64 (*.f64 (sqrt.f64 2) -6) 2)) -1)
(*.f64 (sqrt.f64 2) -3)
(/.f64 (-.f64 (.f64 (sqrt.f64 2) 0) (.f64 (sqrt.f64 2) 3)) 1)
(*.f64 (sqrt.f64 2) -3)
(/.f64 (-.f64 (.f64 (.f64 -3 (sqrt.f64 2)) -3) (.f64 (.f64 (sqrt.f64 2) 6) 2)) 1)
(*.f64 (sqrt.f64 2) -3)
(/.f64 (-.f64 (*.f64 4 (sqrt.f64 2)) (sqrt.f64 2)) -1)
(*.f64 (sqrt.f64 2) -3)
(/.f64 (-.f64 (.f64 (sqrt.f64 2) 11) (.f64 (sqrt.f64 2) 8)) -1)
(*.f64 (sqrt.f64 2) -3)
(/.f64 (-.f64 (.f64 (sqrt.f64 2) -4) (.f64 (sqrt.f64 2) -7)) -1)
(*.f64 (sqrt.f64 2) -3)
(/.f64 (-.f64 (neg.f64 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -4)) -1)
(*.f64 (sqrt.f64 2) -3)
(/.f64 (-.f64 (.f64 (sqrt.f64 2) 0) (.f64 -3 (sqrt.f64 2))) -1)
(*.f64 (sqrt.f64 2) -3)
(neg.f64 (*.f64 (sqrt.f64 2) 3))
(*.f64 (sqrt.f64 2) -3)
(+.f64 (*.f64 (sqrt.f64 2) x) 0)
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(+.f64 (*.f64 (sqrt.f64 2) x) (-.f64 x x))
(+.f64 x (-.f64 (*.f64 (sqrt.f64 2) x) x))
(+.f64 (.f64 (sqrt.f64 2) x) (.f64 (sqrt.f64 2) 0))
(+.f64 (.f64 (sqrt.f64 2) 0) (.f64 (sqrt.f64 2) x))
(+.f64 (.f64 (sqrt.f64 2) x) (.f64 (sqrt.f64 2) (-.f64 x x)))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(+.f64 (.f64 (sqrt.f64 2) x) (neg.f64 (.f64 (sqrt.f64 2) 0)))
(*.f64 (sqrt.f64 2) (-.f64 x 0))
(+.f64 (.f64 (sqrt.f64 2) x) (.f64 0 (-.f64 (sqrt.f64 2) x)))
(+.f64 (.f64 (sqrt.f64 2) x) (neg.f64 (.f64 (sqrt.f64 2) 0)))
(*.f64 (sqrt.f64 2) (-.f64 x 0))
(+.f64 (.f64 (sqrt.f64 2) x) (.f64 0 (-.f64 x (sqrt.f64 2))))
(+.f64 (.f64 (sqrt.f64 2) x) (neg.f64 (.f64 (sqrt.f64 2) 0)))
(*.f64 (sqrt.f64 2) (-.f64 x 0))
(+.f64 (.f64 (sqrt.f64 2) x) (+.f64 0 (.f64 (sqrt.f64 2) (-.f64 x x))))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(+.f64 (.f64 (sqrt.f64 2) x) (+.f64 0 (neg.f64 (.f64 (sqrt.f64 2) 0))))
(+.f64 (.f64 (sqrt.f64 2) x) (neg.f64 (.f64 (sqrt.f64 2) 0)))
(*.f64 (sqrt.f64 2) (-.f64 x 0))
(+.f64 (.f64 (sqrt.f64 2) x) (+.f64 0 (.f64 0 (-.f64 (sqrt.f64 2) x))))
(+.f64 (.f64 (sqrt.f64 2) x) (neg.f64 (.f64 (sqrt.f64 2) 0)))
(*.f64 (sqrt.f64 2) (-.f64 x 0))
(+.f64 (.f64 (sqrt.f64 2) x) (+.f64 0 (.f64 0 (-.f64 x (sqrt.f64 2)))))
(+.f64 (.f64 (sqrt.f64 2) x) (neg.f64 (.f64 (sqrt.f64 2) 0)))
(*.f64 (sqrt.f64 2) (-.f64 x 0))
(+.f64 (.f64 (sqrt.f64 2) x) (+.f64 (-.f64 x x) (.f64 (sqrt.f64 2) 0)))
(+.f64 (.f64 (sqrt.f64 2) 0) (+.f64 x (-.f64 (.f64 (sqrt.f64 2) x) x)))
(+.f64 x (+.f64 (.f64 (sqrt.f64 2) 0) (-.f64 (.f64 (sqrt.f64 2) x) x)))
(+.f64 (.f64 (sqrt.f64 2) x) (+.f64 (-.f64 x x) (.f64 (sqrt.f64 2) (-.f64 x x))))
(+.f64 x (-.f64 (*.f64 (sqrt.f64 2) x) x))
(+.f64 (.f64 (sqrt.f64 2) x) (+.f64 (-.f64 x x) (neg.f64 (.f64 (sqrt.f64 2) 0))))
(+.f64 (-.f64 x x) (*.f64 (sqrt.f64 2) (-.f64 x 0)))
(+.f64 (.f64 (sqrt.f64 2) x) (+.f64 (-.f64 x x) (.f64 0 (-.f64 (sqrt.f64 2) x))))
(+.f64 (.f64 (sqrt.f64 2) x) (+.f64 (-.f64 x x) (neg.f64 (.f64 (sqrt.f64 2) 0))))
(+.f64 (-.f64 x x) (*.f64 (sqrt.f64 2) (-.f64 x 0)))
(+.f64 (.f64 (sqrt.f64 2) x) (+.f64 (-.f64 x x) (.f64 0 (-.f64 x (sqrt.f64 2)))))
(+.f64 (.f64 (sqrt.f64 2) x) (+.f64 (-.f64 x x) (neg.f64 (.f64 (sqrt.f64 2) 0))))
(+.f64 (-.f64 x x) (*.f64 (sqrt.f64 2) (-.f64 x 0)))
(+.f64 (.f64 (sqrt.f64 2) x) (+.f64 (.f64 (sqrt.f64 2) 0) (-.f64 x x)))
(+.f64 (.f64 (sqrt.f64 2) 0) (+.f64 x (-.f64 (.f64 (sqrt.f64 2) x) x)))
(+.f64 x (+.f64 (.f64 (sqrt.f64 2) 0) (-.f64 (.f64 (sqrt.f64 2) x) x)))
(+.f64 (.f64 (sqrt.f64 2) x) (+.f64 (.f64 (sqrt.f64 2) 0) (*.f64 (sqrt.f64 2) (-.f64 x x))))
(+.f64 (.f64 (sqrt.f64 2) 0) (.f64 (sqrt.f64 2) x))
(+.f64 (.f64 (sqrt.f64 2) x) (+.f64 (.f64 (sqrt.f64 2) 0) (neg.f64 (*.f64 (sqrt.f64 2) 0))))
(+.f64 (.f64 (sqrt.f64 2) 0) (+.f64 (.f64 (sqrt.f64 2) x) (neg.f64 (*.f64 (sqrt.f64 2) 0))))
(+.f64 (.f64 (sqrt.f64 2) 0) (.f64 (sqrt.f64 2) (-.f64 x 0)))
(+.f64 (.f64 (sqrt.f64 2) x) (+.f64 (.f64 (sqrt.f64 2) 0) (*.f64 0 (-.f64 (sqrt.f64 2) x))))
(+.f64 (.f64 (sqrt.f64 2) 0) (+.f64 (.f64 (sqrt.f64 2) x) (neg.f64 (*.f64 (sqrt.f64 2) 0))))
(+.f64 (.f64 (sqrt.f64 2) 0) (.f64 (sqrt.f64 2) (-.f64 x 0)))
(+.f64 (.f64 (sqrt.f64 2) x) (+.f64 (.f64 (sqrt.f64 2) 0) (*.f64 0 (-.f64 x (sqrt.f64 2)))))
(+.f64 (.f64 (sqrt.f64 2) 0) (+.f64 (.f64 (sqrt.f64 2) x) (neg.f64 (*.f64 (sqrt.f64 2) 0))))
(+.f64 (.f64 (sqrt.f64 2) 0) (.f64 (sqrt.f64 2) (-.f64 x 0)))
(+.f64 (.f64 (sqrt.f64 2) x) (.f64 1 (neg.f64 (*.f64 (sqrt.f64 2) 0))))
(+.f64 (.f64 (sqrt.f64 2) x) (neg.f64 (.f64 (sqrt.f64 2) 0)))
(*.f64 (sqrt.f64 2) (-.f64 x 0))
(+.f64 (.f64 (sqrt.f64 2) x) (.f64 1 (*.f64 0 (-.f64 x (sqrt.f64 2)))))
(+.f64 (.f64 (sqrt.f64 2) x) (neg.f64 (.f64 (sqrt.f64 2) 0)))
(*.f64 (sqrt.f64 2) (-.f64 x 0))
(+.f64 0 (*.f64 (sqrt.f64 2) x))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(+.f64 (.f64 4 (.f64 (sqrt.f64 2) x)) (.f64 -3 (.f64 (sqrt.f64 2) x)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 4 x)) (.f64 (sqrt.f64 2) (.f64 -3 x)))
(+.f64 (.f64 4 (.f64 (sqrt.f64 2) x)) (+.f64 (.f64 -3 (.f64 (sqrt.f64 2) x)) (neg.f64 (*.f64 (sqrt.f64 2) 0))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 4 x)) (+.f64 (neg.f64 (.f64 (sqrt.f64 2) 0)) (.f64 (sqrt.f64 2) (*.f64 -3 x))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 4 x)) (-.f64 (.f64 (sqrt.f64 2) (.f64 -3 x)) (*.f64 (sqrt.f64 2) 0)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 3)) (+.f64 (.f64 2 (.f64 (sqrt.f64 2) x)) (.f64 (sqrt.f64 2) (.f64 -4 x))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 3)) (+.f64 (.f64 2 (.f64 (sqrt.f64 2) x)) (.f64 (sqrt.f64 2) (.f64 x -4))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 3)) (.f64 (sqrt.f64 2) (.f64 x -2)))
(+.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 2 (*.f64 (sqrt.f64 2) x)))
(+.f64 (.f64 (sqrt.f64 2) 0) (.f64 (sqrt.f64 2) x))
(+.f64 (-.f64 x x) (*.f64 (sqrt.f64 2) x))
(+.f64 x (-.f64 (*.f64 (sqrt.f64 2) x) x))
(+.f64 (.f64 (sqrt.f64 2) 0) (.f64 (sqrt.f64 2) x))
(+.f64 (.f64 -3 (.f64 (sqrt.f64 2) x)) (.f64 4 (.f64 (sqrt.f64 2) x)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 4 x)) (.f64 (sqrt.f64 2) (.f64 -3 x)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 8)) (neg.f64 (.f64 (sqrt.f64 2) (.f64 x 7))))
(+.f64 0 (.f64 (sqrt.f64 2) (-.f64 (.f64 x 8) (*.f64 x 7))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 8)) (.f64 x (.f64 (sqrt.f64 2) -7)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 8)) (.f64 (sqrt.f64 2) (.f64 x -7)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 8)) (+.f64 0 (neg.f64 (.f64 (sqrt.f64 2) (.f64 x 7)))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 8)) (neg.f64 (.f64 (sqrt.f64 2) (.f64 x 7))))
(+.f64 0 (.f64 (sqrt.f64 2) (-.f64 (.f64 x 8) (*.f64 x 7))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 8)) (+.f64 (-.f64 x x) (neg.f64 (.f64 (sqrt.f64 2) (.f64 x 7)))))
(+.f64 (-.f64 x x) (+.f64 (.f64 (sqrt.f64 2) (.f64 x 8)) (neg.f64 (.f64 (sqrt.f64 2) (.f64 x 7)))))
(+.f64 (-.f64 x x) (+.f64 0 (.f64 (sqrt.f64 2) (-.f64 (.f64 x 8) (*.f64 x 7)))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 8)) (+.f64 (.f64 (sqrt.f64 2) 0) (neg.f64 (.f64 (sqrt.f64 2) (*.f64 x 7)))))
(+.f64 (.f64 (sqrt.f64 2) 0) (+.f64 0 (.f64 (sqrt.f64 2) (-.f64 (.f64 x 8) (.f64 x 7)))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 8)) (/.f64 (*.f64 (sqrt.f64 2) -7) (/.f64 1 x)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 8)) (.f64 (sqrt.f64 2) (.f64 x -7)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 8)) (.f64 1 (neg.f64 (.f64 (sqrt.f64 2) (*.f64 x 7)))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 8)) (neg.f64 (.f64 (sqrt.f64 2) (.f64 x 7))))
(+.f64 0 (.f64 (sqrt.f64 2) (-.f64 (.f64 x 8) (*.f64 x 7))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 -4 x)) (.f64 (neg.f64 x) (.f64 (sqrt.f64 2) -5)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 3)) (+.f64 (.f64 2 (.f64 (sqrt.f64 2) x)) (.f64 (sqrt.f64 2) (.f64 x -4))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 3)) (.f64 (sqrt.f64 2) (.f64 x -2)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 -4 x)) (/.f64 (*.f64 (sqrt.f64 2) -5) (/.f64 -1 x)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 3)) (+.f64 (.f64 2 (.f64 (sqrt.f64 2) x)) (.f64 (sqrt.f64 2) (.f64 x -4))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 3)) (.f64 (sqrt.f64 2) (.f64 x -2)))
(+.f64 (.f64 2 (.f64 (sqrt.f64 2) x)) (*.f64 (sqrt.f64 2) (neg.f64 x)))
(+.f64 (.f64 (sqrt.f64 2) 0) (.f64 (sqrt.f64 2) x))
(+.f64 (.f64 (sqrt.f64 2) (-.f64 x x)) (.f64 (sqrt.f64 2) x))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(+.f64 (neg.f64 (.f64 (sqrt.f64 2) 0)) (.f64 (sqrt.f64 2) x))
(+.f64 (.f64 (sqrt.f64 2) x) (neg.f64 (.f64 (sqrt.f64 2) 0)))
(*.f64 (sqrt.f64 2) (-.f64 x 0))
(+.f64 (neg.f64 (.f64 (sqrt.f64 2) (.f64 x 7))) (.f64 (sqrt.f64 2) (.f64 x 8)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 8)) (neg.f64 (.f64 (sqrt.f64 2) (.f64 x 7))))
(+.f64 0 (.f64 (sqrt.f64 2) (-.f64 (.f64 x 8) (*.f64 x 7))))
(+.f64 (.f64 0 (-.f64 (sqrt.f64 2) x)) (.f64 (sqrt.f64 2) x))
(+.f64 (.f64 (sqrt.f64 2) x) (neg.f64 (.f64 (sqrt.f64 2) 0)))
(*.f64 (sqrt.f64 2) (-.f64 x 0))
(+.f64 (.f64 0 (-.f64 x (sqrt.f64 2))) (.f64 (sqrt.f64 2) x))
(+.f64 (.f64 (sqrt.f64 2) x) (neg.f64 (.f64 (sqrt.f64 2) 0)))
(*.f64 (sqrt.f64 2) (-.f64 x 0))
(+.f64 (.f64 x (.f64 (sqrt.f64 2) 16)) (.f64 x (neg.f64 (.f64 (sqrt.f64 2) 15))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 16)) (.f64 x (neg.f64 (.f64 (sqrt.f64 2) 15))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 16)) (/.f64 x (/.f64 -1/15 (sqrt.f64 2))))
(+.f64 (.f64 x (.f64 (sqrt.f64 2) 16)) (/.f64 (neg.f64 (*.f64 (sqrt.f64 2) 15)) (/.f64 1 x)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 16)) (.f64 x (neg.f64 (.f64 (sqrt.f64 2) 15))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 16)) (/.f64 x (/.f64 -1/15 (sqrt.f64 2))))
(+.f64 (.f64 x (.f64 (sqrt.f64 2) -7)) (.f64 (sqrt.f64 2) (.f64 x 8)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 8)) (.f64 (sqrt.f64 2) (.f64 x -7)))
(+.f64 (.f64 (.f64 4 (.f64 (sqrt.f64 2) x)) 1/2) (.f64 (sqrt.f64 2) (neg.f64 x)))
(+.f64 (.f64 (sqrt.f64 2) 0) (.f64 (sqrt.f64 2) x))
(+.f64 (.f64 (.f64 (sqrt.f64 2) x) 1/2) (.f64 1/2 (.f64 (sqrt.f64 2) x)))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(+.f64 (.f64 (.f64 -3 (.f64 (sqrt.f64 2) x)) 1/2) (.f64 1/2 (.f64 (sqrt.f64 2) (-.f64 x (.f64 x -4)))))
(.f64 1/2 (+.f64 (.f64 (sqrt.f64 2) (.f64 -3 x)) (.f64 (sqrt.f64 2) (-.f64 x (*.f64 x -4)))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 1/2 (-.f64 x (.f64 x -4)))) (.f64 (*.f64 (sqrt.f64 2) x) -3/2))
(-.f64 (*.f64 (sqrt.f64 2) x) 0)
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(-.f64 (*.f64 (sqrt.f64 2) x) (-.f64 x x))
(-.f64 x (-.f64 x (*.f64 (sqrt.f64 2) x)))
(-.f64 (.f64 (sqrt.f64 2) x) (.f64 (sqrt.f64 2) 0))
(+.f64 (.f64 (sqrt.f64 2) x) (neg.f64 (.f64 (sqrt.f64 2) 0)))
(*.f64 (sqrt.f64 2) (-.f64 x 0))
(-.f64 (.f64 (sqrt.f64 2) x) (.f64 (sqrt.f64 2) (-.f64 x x)))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(-.f64 (.f64 (sqrt.f64 2) x) (neg.f64 (.f64 (sqrt.f64 2) 0)))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(-.f64 (.f64 (sqrt.f64 2) x) (.f64 0 (-.f64 (sqrt.f64 2) x)))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(-.f64 (.f64 (sqrt.f64 2) x) (.f64 0 (-.f64 x (sqrt.f64 2))))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(-.f64 0 (*.f64 (sqrt.f64 2) (neg.f64 x)))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(-.f64 (.f64 4 (.f64 (sqrt.f64 2) x)) (.f64 (sqrt.f64 2) (.f64 x 3)))
(-.f64 (.f64 (sqrt.f64 2) (.f64 4 x)) (.f64 (sqrt.f64 2) (.f64 x 3)))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x 3)) (.f64 2 (.f64 (sqrt.f64 2) x)))
(.f64 (sqrt.f64 2) (-.f64 (.f64 x 3) (*.f64 2 x)))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x 3)) (/.f64 (-.f64 (.f64 (sqrt.f64 2) 6) (.f64 4 (sqrt.f64 2))) (/.f64 1 x)))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x 3)) (.f64 2 (.f64 (sqrt.f64 2) x)))
(.f64 (sqrt.f64 2) (-.f64 (.f64 x 3) (*.f64 2 x)))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x 3)) (/.f64 (-.f64 (.f64 (sqrt.f64 2) -6) (.f64 (sqrt.f64 2) -4)) (/.f64 -1 x)))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x 3)) (.f64 2 (.f64 (sqrt.f64 2) x)))
(.f64 (sqrt.f64 2) (-.f64 (.f64 x 3) (*.f64 2 x)))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x 3)) (/.f64 (-.f64 (.f64 4 (sqrt.f64 2)) (.f64 (sqrt.f64 2) 6)) (/.f64 -1 x)))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x 3)) (.f64 2 (.f64 (sqrt.f64 2) x)))
(.f64 (sqrt.f64 2) (-.f64 (.f64 x 3) (*.f64 2 x)))
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 x (*.f64 (sqrt.f64 2) -2)))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (/.f64 (.f64 2 (*.f64 (sqrt.f64 2) x)) -1))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(-.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) (/.f64 (+.f64 x x) (/.f64 -1 (sqrt.f64 2))))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (/.f64 (.f64 2 (sqrt.f64 2)) (/.f64 -1 x)))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(-.f64 (-.f64 x x) (*.f64 (sqrt.f64 2) (neg.f64 x)))
(-.f64 (.f64 (sqrt.f64 2) 0) (.f64 (sqrt.f64 2) (neg.f64 x)))
(*.f64 (sqrt.f64 2) (-.f64 0 (neg.f64 x)))
(-.f64 (.f64 -3 (.f64 (sqrt.f64 2) x)) (.f64 (sqrt.f64 2) (.f64 -4 x)))
(-.f64 (.f64 (sqrt.f64 2) (.f64 -3 x)) (.f64 (sqrt.f64 2) (.f64 x -4)))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x 8)) (.f64 (sqrt.f64 2) (.f64 x 7)))
(.f64 (sqrt.f64 2) (-.f64 (.f64 x 8) (*.f64 x 7)))
(-.f64 (.f64 (sqrt.f64 2) (.f64 -4 x)) (.f64 x (.f64 (sqrt.f64 2) -5)))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x -4)) (.f64 (sqrt.f64 2) (.f64 x -5)))
(.f64 (sqrt.f64 2) (-.f64 (.f64 x -4) (*.f64 x -5)))
(-.f64 (.f64 (sqrt.f64 2) (.f64 -4 x)) (/.f64 (*.f64 (sqrt.f64 2) 5) (/.f64 -1 x)))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x -4)) (.f64 (.f64 (sqrt.f64 2) 5) (neg.f64 x)))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x -4)) (/.f64 x (/.f64 -1/5 (sqrt.f64 2))))
(-.f64 (.f64 2 (.f64 (sqrt.f64 2) x)) (*.f64 (sqrt.f64 2) x))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(-.f64 (.f64 (sqrt.f64 2) (.f64 x 7)) (.f64 x (.f64 (sqrt.f64 2) 6)))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x 7)) (.f64 (sqrt.f64 2) (.f64 x 6)))
(.f64 (sqrt.f64 2) (-.f64 (.f64 x 7) (*.f64 x 6)))
(-.f64 (.f64 x (.f64 (sqrt.f64 2) 5)) (.f64 4 (.f64 (sqrt.f64 2) x)))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x 5)) (.f64 (sqrt.f64 2) (.f64 4 x)))
(-.f64 (.f64 x (.f64 (sqrt.f64 2) 15)) (/.f64 (-.f64 (.f64 (sqrt.f64 2) 8) (.f64 (sqrt.f64 2) -6)) (/.f64 1 x)))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(-.f64 (.f64 -6 (.f64 (sqrt.f64 2) x)) (.f64 x (.f64 (sqrt.f64 2) -7)))
(-.f64 (.f64 (sqrt.f64 2) (.f64 -6 x)) (.f64 (sqrt.f64 2) (.f64 x -7)))
(-.f64 (.f64 -6 (.f64 (sqrt.f64 2) x)) (/.f64 (*.f64 (sqrt.f64 2) -7) (/.f64 1 x)))
(-.f64 (.f64 (sqrt.f64 2) (.f64 -6 x)) (.f64 (sqrt.f64 2) (.f64 x -7)))
(-.f64 (.f64 x (.f64 (sqrt.f64 2) 16)) (.f64 x (.f64 (sqrt.f64 2) 15)))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(-.f64 (.f64 x (.f64 (sqrt.f64 2) -7)) (.f64 x (.f64 (sqrt.f64 2) -8)))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(-.f64 (/.f64 (.f64 (sqrt.f64 2) -7) (/.f64 1 x)) (/.f64 (.f64 (sqrt.f64 2) -8) (/.f64 1 x)))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(-.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 2) -6) (.f64 (sqrt.f64 2) -4)) (/.f64 1 x)) (.f64 -3 (.f64 (sqrt.f64 2) x)))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(-.f64 (/.f64 (.f64 (.f64 (sqrt.f64 2) 6) 2) (/.f64 -1 x)) (/.f64 (+.f64 (.f64 (sqrt.f64 2) 7) (.f64 (sqrt.f64 2) 6)) (/.f64 -1 x)))
(/.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 2) 6)) (+.f64 (.f64 (sqrt.f64 2) 7) (.f64 (sqrt.f64 2) 6))) (/.f64 -1 x))
(.f64 x (+.f64 (.f64 (sqrt.f64 2) 7) (-.f64 (.f64 (sqrt.f64 2) 6) (.f64 (sqrt.f64 2) 12))))
(-.f64 (/.f64 (+.f64 (.f64 (sqrt.f64 2) 16) (.f64 (sqrt.f64 2) 16)) (/.f64 1 x)) (/.f64 (+.f64 (.f64 (sqrt.f64 2) 16) (.f64 (sqrt.f64 2) 15)) (/.f64 1 x)))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(-.f64 (/.f64 (.f64 (sqrt.f64 2) 15) (/.f64 -1 x)) (/.f64 (.f64 (sqrt.f64 2) 16) (/.f64 -1 x)))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(-.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 2) 6) (.f64 4 (sqrt.f64 2))) (/.f64 -1 x)) (.f64 -3 (.f64 (sqrt.f64 2) x)))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(-.f64 (/.f64 (.f64 (.f64 (sqrt.f64 2) 7) 2) (/.f64 -1 x)) (/.f64 (*.f64 (sqrt.f64 2) 15) (/.f64 -1 x)))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(/.f64 (sqrt.f64 2) (/.f64 1 x))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(/.f64 (sqrt.f64 2) (neg.f64 (/.f64 -1 x)))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(/.f64 x (/.f64 1 (sqrt.f64 2)))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(/.f64 x (neg.f64 (/.f64 -1 (sqrt.f64 2))))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(/.f64 (*.f64 (sqrt.f64 2) x) 1)
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(/.f64 1 (/.f64 1 (*.f64 (sqrt.f64 2) x)))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(/.f64 -1 (/.f64 1 (*.f64 (sqrt.f64 2) (neg.f64 x))))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(/.f64 (neg.f64 x) (/.f64 -1 (sqrt.f64 2)))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(/.f64 (neg.f64 (sqrt.f64 2)) (/.f64 -1 x))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(/.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) -1)
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(/.f64 (*.f64 2 (sqrt.f64 2)) (/.f64 (/.f64 1 x) 1/2))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(/.f64 (+.f64 x x) (/.f64 (/.f64 1 (sqrt.f64 2)) 1/2))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(/.f64 1/2 (/.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 x x)))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(/.f64 1/2 (/.f64 (/.f64 1 x) (*.f64 2 (sqrt.f64 2))))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(/.f64 1/2 (/.f64 (/.f64 1/2 x) (sqrt.f64 2)))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(/.f64 1/2 (/.f64 (/.f64 1/2 (sqrt.f64 2)) x))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(/.f64 1/2 (/.f64 1 (.f64 2 (.f64 (sqrt.f64 2) x))))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(/.f64 1/2 (/.f64 -1 (+.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 (sqrt.f64 2) (neg.f64 x)))))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(/.f64 (*.f64 x 1/2) (/.f64 1/2 (sqrt.f64 2)))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(/.f64 (*.f64 (sqrt.f64 2) 1/2) (/.f64 1/2 x))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(/.f64 (-.f64 (.f64 2 (sqrt.f64 2)) (.f64 (sqrt.f64 2) 3)) (/.f64 -1 x))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(/.f64 (-.f64 (*.f64 (sqrt.f64 2) 0) (sqrt.f64 2)) (/.f64 -1 x))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(/.f64 (-.f64 (.f64 (sqrt.f64 2) -5) (.f64 (sqrt.f64 2) -4)) (/.f64 -1 x))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(/.f64 (-.f64 (-.f64 (.f64 (sqrt.f64 2) 8) (.f64 (sqrt.f64 2) -6)) (*.f64 (sqrt.f64 2) 15)) (/.f64 -1 x))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(/.f64 (-.f64 (+.f64 (.f64 (sqrt.f64 2) 16) (.f64 (sqrt.f64 2) 15)) (+.f64 (.f64 (sqrt.f64 2) 16) (.f64 (sqrt.f64 2) 16))) (/.f64 -1 x))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(/.f64 (-.f64 (-.f64 x x) x) (/.f64 -1 (sqrt.f64 2)))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(/.f64 (-.f64 (.f64 (sqrt.f64 2) (-.f64 x x)) (.f64 (sqrt.f64 2) x)) -1)
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(/.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 2) x)) (.f64 (sqrt.f64 2) (.f64 x 3))) -1)
(-.f64 (.f64 (sqrt.f64 2) (.f64 x 3)) (.f64 2 (.f64 (sqrt.f64 2) x)))
(.f64 (sqrt.f64 2) (-.f64 (.f64 x 3) (*.f64 2 x)))
(/.f64 (-.f64 (.f64 x (.f64 (sqrt.f64 2) -5)) (.f64 (sqrt.f64 2) (.f64 -4 x))) -1)
(-.f64 (.f64 (sqrt.f64 2) (.f64 x -4)) (.f64 (sqrt.f64 2) (.f64 x -5)))
(.f64 (sqrt.f64 2) (-.f64 (.f64 x -4) (*.f64 x -5)))
(/.f64 (-.f64 (-.f64 (.f64 4 (sqrt.f64 2)) (.f64 (sqrt.f64 2) 6)) (*.f64 -3 (sqrt.f64 2))) (/.f64 1 x))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(/.f64 (-.f64 (-.f64 (.f64 4 (sqrt.f64 2)) (.f64 (sqrt.f64 2) 6)) (*.f64 -3 (sqrt.f64 2))) (neg.f64 (/.f64 -1 x)))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(/.f64 (-.f64 (.f64 (sqrt.f64 2) 15) (.f64 (*.f64 (sqrt.f64 2) 7) 2)) (/.f64 1 x))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(/.f64 (-.f64 (.f64 (sqrt.f64 2) 15) (.f64 (*.f64 (sqrt.f64 2) 7) 2)) (neg.f64 (/.f64 -1 x)))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(/.f64 (-.f64 (+.f64 (.f64 (sqrt.f64 2) 7) (.f64 (sqrt.f64 2) 6)) (.f64 (.f64 (sqrt.f64 2) 6) 2)) (/.f64 1 x))
(/.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 2) 6)) (+.f64 (.f64 (sqrt.f64 2) 7) (.f64 (sqrt.f64 2) 6))) (/.f64 -1 x))
(.f64 x (+.f64 (.f64 (sqrt.f64 2) 7) (-.f64 (.f64 (sqrt.f64 2) 6) (.f64 (sqrt.f64 2) 12))))
(/.f64 (-.f64 (+.f64 (.f64 (sqrt.f64 2) 7) (.f64 (sqrt.f64 2) 6)) (.f64 (.f64 (sqrt.f64 2) 6) 2)) (neg.f64 (/.f64 -1 x)))
(/.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 2) 6)) (+.f64 (.f64 (sqrt.f64 2) 7) (.f64 (sqrt.f64 2) 6))) (/.f64 -1 x))
(.f64 x (+.f64 (.f64 (sqrt.f64 2) 7) (-.f64 (.f64 (sqrt.f64 2) 6) (.f64 (sqrt.f64 2) 12))))
(/.f64 (-.f64 (.f64 x 3) (.f64 4 x)) (/.f64 -1 (sqrt.f64 2)))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(/.f64 (-.f64 (.f64 -3 x) (.f64 x -4)) (/.f64 1 (sqrt.f64 2)))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(/.f64 (-.f64 (+.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 (sqrt.f64 2) (neg.f64 x))) (*.f64 (sqrt.f64 2) (neg.f64 x))) -1)
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(/.f64 (+.f64 (.f64 4 x) (.f64 -3 x)) (/.f64 1 (sqrt.f64 2)))
(.f64 (+.f64 (.f64 4 x) (*.f64 -3 x)) (sqrt.f64 2))
(/.f64 (+.f64 (.f64 -3 x) (.f64 4 x)) (/.f64 1 (sqrt.f64 2)))
(.f64 (+.f64 (.f64 4 x) (*.f64 -3 x)) (sqrt.f64 2))
(/.f64 (.f64 (+.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (*.f64 (sqrt.f64 2) (neg.f64 x))) 1/2) -1)
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(neg.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)

eval474.0ms (8%)

Compiler: Compiled 16736 to 12727 computations (24% saved)

prune499.0ms (8.4%)

Pruning

23 alts after pruning (15 fresh and 8 done)

	Pruned	Kept	Total
New	1232	7	1239
Fresh	5	8	13
Picked	1	0	1
Done	0	8	8
Total	1238	23	1261

Error

0.0b

Counts

1261 → 23

Alt Table

Click to see full alt table

Status	Error	Program
	30.3b	(/.f64 (-.f64 (.f64 (sqrt.f64 2) -5) (.f64 (sqrt.f64 2) -4)) (/.f64 -1 x))
	32.9b	(/.f64 (-.f64 (.f64 x 3) (-.f64 x (.f64 x -3))) (/.f64 1 (sqrt.f64 2)))
	30.5b	(/.f64 (-.f64 (.f64 x 3) (.f64 4 x)) (/.f64 -1 (sqrt.f64 2)))
	32.8b	(/.f64 (-.f64 (neg.f64 (.f64 (sqrt.f64 2) 3)) (neg.f64 (.f64 2 (*.f64 2 (sqrt.f64 2))))) (/.f64 -1 x))
▶	30.2b	(/.f64 (sqrt.f64 2) (/.f64 1 x))
✓	32.7b	(/.f64 (sqrt.f64 2) (/.f64 -1 x))
✓	30.2b	(/.f64 1 (/.f64 (/.f64 1 x) (sqrt.f64 2)))
	30.3b	(/.f64 1/2 (/.f64 (/.f64 1/2 (sqrt.f64 2)) x))
	32.7b	(/.f64 1/2 (/.f64 (/.f64 -1/2 x) (sqrt.f64 2)))
	32.7b	(-.f64 (.f64 (sqrt.f64 2) (.f64 x -3/2)) (*.f64 (sqrt.f64 2) (/.f64 x -2)))
	33.0b	(+.f64 (.f64 (sqrt.f64 2) (.f64 x -4)) (neg.f64 (.f64 (sqrt.f64 2) (.f64 x -3))))
▶	32.7b	(+.f64 x (-.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) x))
▶	30.3b	(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
▶	30.4b	(.f64 (+.f64 (.f64 4 x) (*.f64 -3 x)) (sqrt.f64 2))
▶	32.6b	(.f64 (.f64 (sqrt.f64 2) (*.f64 x -1/2)) 2)
	32.8b	(.f64 (.f64 (sqrt.f64 2) 1/2) (-.f64 x (*.f64 x 3)))
	32.9b	(.f64 (sqrt.f64 2) (-.f64 (.f64 x 3) (*.f64 4 x)))
✓	30.4b	(.f64 (sqrt.f64 2) (-.f64 (.f64 x 3) (*.f64 2 x)))
✓	32.7b	(*.f64 (sqrt.f64 2) (neg.f64 x))
✓	30.2b	(*.f64 (sqrt.f64 2) x)
✓	28.7b	(sqrt.f64 (/.f64 x (/.f64 1/2 x)))
✓	28.9b	(sqrt.f64 (+.f64 (.f64 x (.f64 x 8)) (.f64 (.f64 x x) -6)))
✓	28.7b	(sqrt.f64 (.f64 2 (.f64 x x)))

Compiler

Compiled 421 to 357 computations (15.2% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 (sqrt.f64 2) (/.f64 1 x))

Compiler

Compiled 15 to 12 computations (20% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite67.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1602×	`rational.json-1`
1602×	`rational.json-2`
710×	`rational.json-simplify-13`
586×	`rational.json-simplify-5`
550×	`rational.json-simplify-6`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	56	11
2	188	11
3	964	11
4	7182	11

Stop Event

1×	node limit

Counts

1 → 128

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 2) (/.f64 1 x))

Outputs

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

simplify59.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1102×	`rational.json-simplify-42`
912×	`rational.json-simplify-45`
842×	`rational.json-simplify-1`
752×	`rational.json-simplify-33`
726×	`rational.json-simplify-29`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	251	2220
1	838	1882
2	3699	1882

Stop Event

1×	node limit

Counts

140 → 134

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(+.f64 (*.f64 (sqrt.f64 2) x) 0)
(+.f64 (*.f64 (sqrt.f64 2) x) (-.f64 x x))
(+.f64 (.f64 (sqrt.f64 2) x) (.f64 (sqrt.f64 2) 0))
(+.f64 (.f64 (sqrt.f64 2) x) (.f64 (sqrt.f64 2) (-.f64 x x)))
(+.f64 (.f64 (sqrt.f64 2) x) (.f64 0 (-.f64 (sqrt.f64 2) x)))
(+.f64 (.f64 (sqrt.f64 2) x) (+.f64 (-.f64 x x) (.f64 (sqrt.f64 2) 0)))
(+.f64 (.f64 (sqrt.f64 2) x) (+.f64 0 (.f64 0 (-.f64 (sqrt.f64 2) x))))
(+.f64 (.f64 (sqrt.f64 2) x) (+.f64 0 (+.f64 (-.f64 x x) (.f64 (sqrt.f64 2) 0))))
(+.f64 (.f64 (sqrt.f64 2) x) (+.f64 (-.f64 x x) (.f64 0 (-.f64 (sqrt.f64 2) x))))
(+.f64 (.f64 (sqrt.f64 2) x) (+.f64 (-.f64 x x) (+.f64 (-.f64 x x) (.f64 (sqrt.f64 2) 0))))
(+.f64 (.f64 (sqrt.f64 2) x) (+.f64 (.f64 (sqrt.f64 2) 0) (*.f64 0 (-.f64 (sqrt.f64 2) x))))
(+.f64 (.f64 (sqrt.f64 2) x) (+.f64 (.f64 (sqrt.f64 2) 0) (+.f64 (-.f64 x x) (*.f64 (sqrt.f64 2) 0))))
(+.f64 (.f64 (sqrt.f64 2) x) (-.f64 (.f64 0 (-.f64 (sqrt.f64 2) x)) (-.f64 x x)))
(+.f64 (.f64 (sqrt.f64 2) x) (-.f64 (+.f64 (-.f64 x x) (.f64 (sqrt.f64 2) 0)) (-.f64 x x)))
(+.f64 (.f64 (sqrt.f64 2) x) (-.f64 (.f64 0 (-.f64 (sqrt.f64 2) x)) (*.f64 (sqrt.f64 2) 0)))
(+.f64 (.f64 (sqrt.f64 2) x) (-.f64 (+.f64 (-.f64 x x) (.f64 (sqrt.f64 2) 0)) (*.f64 (sqrt.f64 2) 0)))
(+.f64 (.f64 (sqrt.f64 2) x) (-.f64 (.f64 0 (-.f64 (sqrt.f64 2) x)) (*.f64 (sqrt.f64 2) (-.f64 x x))))
(+.f64 (.f64 (sqrt.f64 2) x) (-.f64 (+.f64 (-.f64 x x) (.f64 (sqrt.f64 2) 0)) (*.f64 (sqrt.f64 2) (-.f64 x x))))
(+.f64 (.f64 (sqrt.f64 2) x) (.f64 1 (*.f64 0 (-.f64 (sqrt.f64 2) x))))
(+.f64 (.f64 (sqrt.f64 2) x) (.f64 1 (+.f64 (-.f64 x x) (*.f64 (sqrt.f64 2) 0))))
(+.f64 0 (*.f64 (sqrt.f64 2) x))
(+.f64 (-.f64 x x) (*.f64 (sqrt.f64 2) x))
(+.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 (sqrt.f64 2) (+.f64 x x)))
(+.f64 (.f64 (sqrt.f64 2) 0) (.f64 (sqrt.f64 2) x))
(+.f64 (.f64 (sqrt.f64 2) (+.f64 x x)) (.f64 (sqrt.f64 2) (neg.f64 x)))
(+.f64 (.f64 (sqrt.f64 2) (-.f64 x x)) (.f64 (sqrt.f64 2) x))
(+.f64 (.f64 0 (-.f64 (sqrt.f64 2) x)) (.f64 (sqrt.f64 2) x))
(+.f64 (+.f64 (-.f64 x x) (.f64 (sqrt.f64 2) 0)) (.f64 (sqrt.f64 2) x))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 1/2)) (.f64 (sqrt.f64 2) (.f64 x 1/2)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 1/2)) (+.f64 0 (.f64 (sqrt.f64 2) (.f64 x 1/2))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 1/2)) (.f64 (.f64 (sqrt.f64 2) 1/2) x))
(+.f64 (.f64 (.f64 2 (sqrt.f64 2)) (+.f64 x x)) (-.f64 0 (.f64 (sqrt.f64 2) (.f64 x 3))))
(+.f64 (.f64 (.f64 2 (sqrt.f64 2)) (+.f64 x x)) (-.f64 (-.f64 x x) (.f64 (sqrt.f64 2) (.f64 x 3))))
(+.f64 (.f64 (.f64 2 (sqrt.f64 2)) (+.f64 x x)) (-.f64 (.f64 (sqrt.f64 2) 0) (.f64 (sqrt.f64 2) (*.f64 x 3))))
(+.f64 (.f64 (.f64 (sqrt.f64 2) 1/2) x) (.f64 (sqrt.f64 2) (.f64 x 1/2)))
(+.f64 (.f64 (.f64 (sqrt.f64 2) x) 1/2) (.f64 (sqrt.f64 2) (.f64 x 1/2)))
(-.f64 (*.f64 (sqrt.f64 2) x) 0)
(-.f64 (*.f64 (sqrt.f64 2) x) (-.f64 x x))
(-.f64 (.f64 (sqrt.f64 2) x) (.f64 (sqrt.f64 2) 0))
(-.f64 (.f64 (sqrt.f64 2) x) (.f64 (sqrt.f64 2) (-.f64 x x)))
(-.f64 (.f64 (sqrt.f64 2) x) (.f64 0 (-.f64 (sqrt.f64 2) x)))
(-.f64 (.f64 (sqrt.f64 2) x) (+.f64 (-.f64 x x) (.f64 (sqrt.f64 2) 0)))
(-.f64 (.f64 (sqrt.f64 2) x) (+.f64 (.f64 (sqrt.f64 2) (-.f64 x x)) (-.f64 x x)))
(-.f64 (.f64 (sqrt.f64 2) x) (+.f64 (.f64 (sqrt.f64 2) (-.f64 x x)) (*.f64 (sqrt.f64 2) 0)))
(-.f64 (.f64 (sqrt.f64 2) x) (+.f64 (.f64 (sqrt.f64 2) (-.f64 x x)) (*.f64 (sqrt.f64 2) (-.f64 x x))))
(-.f64 0 (*.f64 (sqrt.f64 2) (neg.f64 x)))
(-.f64 (-.f64 x x) (*.f64 (sqrt.f64 2) (neg.f64 x)))
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (-.f64 0 (.f64 (sqrt.f64 2) (+.f64 x x))))
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (-.f64 (-.f64 x x) (.f64 (sqrt.f64 2) (+.f64 x x))))
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (-.f64 (.f64 (sqrt.f64 2) 0) (*.f64 (sqrt.f64 2) (+.f64 x x))))
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 (neg.f64 x) (*.f64 2 (sqrt.f64 2))))
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (/.f64 (.f64 (sqrt.f64 2) (+.f64 x x)) -1))
(-.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) (/.f64 (+.f64 x x) (/.f64 -1 (sqrt.f64 2))))
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (/.f64 (.f64 2 (sqrt.f64 2)) (/.f64 -1 x)))
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 (neg.f64 (sqrt.f64 2)) (+.f64 x x)))
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 -1 (*.f64 (sqrt.f64 2) (+.f64 x x))))
(-.f64 (.f64 (sqrt.f64 2) 0) (.f64 (sqrt.f64 2) (neg.f64 x)))
(-.f64 (.f64 (sqrt.f64 2) (+.f64 x x)) (.f64 (sqrt.f64 2) x))
(-.f64 (.f64 (sqrt.f64 2) (-.f64 x x)) (.f64 (sqrt.f64 2) (neg.f64 x)))
(-.f64 (.f64 0 (-.f64 (sqrt.f64 2) x)) (.f64 (sqrt.f64 2) (neg.f64 x)))
(-.f64 (+.f64 (-.f64 x x) (.f64 (sqrt.f64 2) 0)) (.f64 (sqrt.f64 2) (neg.f64 x)))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x 3)) (*.f64 (sqrt.f64 2) (+.f64 x x)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 2)) (+.f64 x x)) (.f64 (sqrt.f64 2) (.f64 x 3)))
(-.f64 (-.f64 (.f64 (.f64 2 (sqrt.f64 2)) (+.f64 x x)) (.f64 (sqrt.f64 2) (-.f64 x x))) (.f64 (sqrt.f64 2) (*.f64 x 3)))
(-.f64 (+.f64 (-.f64 x x) (.f64 (.f64 2 (sqrt.f64 2)) (+.f64 x x))) (.f64 (sqrt.f64 2) (.f64 x 3)))
(-.f64 (+.f64 (.f64 (sqrt.f64 2) 0) (.f64 (.f64 2 (sqrt.f64 2)) (+.f64 x x))) (.f64 (sqrt.f64 2) (*.f64 x 3)))
(-.f64 (/.f64 (.f64 (sqrt.f64 2) 3) (/.f64 2 x)) (.f64 (sqrt.f64 2) (*.f64 x 1/2)))
(-.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 x 3)) 2) (.f64 (sqrt.f64 2) (.f64 x 1/2)))
(-.f64 (/.f64 (.f64 x 3) (/.f64 2 (sqrt.f64 2))) (.f64 (sqrt.f64 2) (*.f64 x 1/2)))
(-.f64 (.f64 0 (/.f64 (sqrt.f64 2) -1/2)) (.f64 (sqrt.f64 2) (neg.f64 x)))
(-.f64 (.f64 (/.f64 x 1/4) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (*.f64 x 3)))
(-.f64 (.f64 (.f64 (.f64 2 (sqrt.f64 2)) 2) x) (.f64 (sqrt.f64 2) (*.f64 x 3)))
(-.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 x 3)) 1/2) (.f64 (sqrt.f64 2) (*.f64 x 1/2)))
(-.f64 (.f64 (.f64 (sqrt.f64 2) 3) (.f64 x 1/2)) (.f64 (sqrt.f64 2) (*.f64 x 1/2)))
(-.f64 (.f64 (-.f64 x x) -1) (.f64 (sqrt.f64 2) (neg.f64 x)))
(-.f64 (.f64 (.f64 (sqrt.f64 2) 0) -1) (*.f64 (sqrt.f64 2) (neg.f64 x)))
(-.f64 (.f64 (.f64 x 3) (.f64 (sqrt.f64 2) 1/2)) (.f64 (*.f64 (sqrt.f64 2) 1/2) x))
(-.f64 (+.f64 (.f64 (.f64 2 (sqrt.f64 2)) (+.f64 x x)) (.f64 (.f64 2 (sqrt.f64 2)) (+.f64 x x))) (+.f64 (.f64 (.f64 2 (sqrt.f64 2)) (+.f64 x x)) (.f64 (sqrt.f64 2) (.f64 x 3))))
(.f64 2 (.f64 (sqrt.f64 2) (*.f64 x 1/2)))
(*.f64 (sqrt.f64 2) x)
(.f64 1 (.f64 (sqrt.f64 2) x))
(*.f64 x (sqrt.f64 2))
(.f64 (.f64 (sqrt.f64 2) x) 1)
(.f64 (.f64 2 (sqrt.f64 2)) (*.f64 x 1/2))
(.f64 1/2 (.f64 (sqrt.f64 2) (+.f64 x x)))
(.f64 (.f64 x 1/2) (*.f64 2 (sqrt.f64 2)))
(.f64 (.f64 x 1/2) (/.f64 1/2 (*.f64 1/2 (/.f64 1/2 (sqrt.f64 2)))))
(.f64 -1 (.f64 (sqrt.f64 2) (neg.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 (sqrt.f64 2)))
(.f64 (neg.f64 x) (/.f64 (.f64 (sqrt.f64 2) 1/2) -1/2))
(*.f64 (neg.f64 (sqrt.f64 2)) (neg.f64 x))
(*.f64 (neg.f64 (sqrt.f64 2)) (/.f64 1/2 (neg.f64 (/.f64 1/2 x))))
(.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) -1)
(.f64 (.f64 (sqrt.f64 2) 1/2) (+.f64 x x))
(.f64 1/4 (.f64 (*.f64 2 (sqrt.f64 2)) (+.f64 x x)))
(*.f64 1/4 (/.f64 (+.f64 x x) (/.f64 1/2 (sqrt.f64 2))))
(.f64 -1/2 (-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (*.f64 (sqrt.f64 2) x)))
(.f64 -1/2 (-.f64 (.f64 (sqrt.f64 2) x) (.f64 (sqrt.f64 2) (.f64 x 3))))
(.f64 -1/2 (-.f64 0 (.f64 (sqrt.f64 2) (+.f64 x x))))
(.f64 -1/2 (-.f64 (-.f64 x x) (.f64 (sqrt.f64 2) (+.f64 x x))))
(.f64 -1/2 (-.f64 (.f64 (sqrt.f64 2) 0) (*.f64 (sqrt.f64 2) (+.f64 x x))))
(*.f64 -1/2 (/.f64 (/.f64 (sqrt.f64 2) -1/2) (/.f64 1 x)))
(*.f64 -1/2 (/.f64 (/.f64 x -1/2) (/.f64 1 (sqrt.f64 2))))
(.f64 -1/2 (.f64 (*.f64 2 (sqrt.f64 2)) (neg.f64 x)))
(.f64 -1/2 (.f64 x (/.f64 (sqrt.f64 2) -1/2)))
(.f64 (.f64 (sqrt.f64 2) (+.f64 x x)) 1/2)
(.f64 (+.f64 x x) (.f64 (sqrt.f64 2) 1/2))
(*.f64 (/.f64 x -1/2) (/.f64 (sqrt.f64 2) -2))
(.f64 (/.f64 x -1/2) (.f64 (sqrt.f64 2) -1/2))
(*.f64 -2 (/.f64 1/2 (/.f64 (/.f64 -1 x) (sqrt.f64 2))))
(*.f64 (/.f64 (sqrt.f64 2) -2) (/.f64 x -1/2))
(.f64 (/.f64 (sqrt.f64 2) -2) (-.f64 x (.f64 x 3)))
(*.f64 (/.f64 x 1/4) (/.f64 1/2 (/.f64 2 (sqrt.f64 2))))
(*.f64 (/.f64 (sqrt.f64 2) -1/2) (/.f64 x -2))
(.f64 (/.f64 (sqrt.f64 2) -1/2) (.f64 x -1/2))
(*.f64 (/.f64 x -2) (/.f64 (sqrt.f64 2) -1/2))
(*.f64 (/.f64 x -2) (/.f64 -1 (/.f64 1/2 (sqrt.f64 2))))
(.f64 (/.f64 x 4) (.f64 (*.f64 2 (sqrt.f64 2)) 2))
(*.f64 (/.f64 x 4) (/.f64 2 (/.f64 1/2 (sqrt.f64 2))))
(.f64 (.f64 (sqrt.f64 2) (*.f64 x 1/2)) 2)
(.f64 (.f64 (*.f64 2 (sqrt.f64 2)) 2) (/.f64 x 4))
(.f64 (.f64 (.f64 2 (sqrt.f64 2)) 2) (.f64 (*.f64 x 1/2) 1/2))
(.f64 (.f64 (.f64 2 (sqrt.f64 2)) 2) (-.f64 (.f64 x 1/2) (/.f64 x 4)))
(.f64 (-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (*.f64 (sqrt.f64 2) x)) -1/2)
(.f64 (.f64 (*.f64 2 (sqrt.f64 2)) (+.f64 x x)) 1/4)
(*.f64 (+.f64 (/.f64 (sqrt.f64 2) -1/2) (/.f64 (sqrt.f64 2) -1/2)) (/.f64 1/2 (neg.f64 (/.f64 2 x))))
(*.f64 (neg.f64 (+.f64 x x)) (/.f64 (sqrt.f64 2) -2))
(neg.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)))

Outputs
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(+.f64 (*.f64 (sqrt.f64 2) x) 0)
(*.f64 (sqrt.f64 2) x)
(+.f64 (*.f64 (sqrt.f64 2) x) (-.f64 x x))
(*.f64 (sqrt.f64 2) x)
(+.f64 (.f64 (sqrt.f64 2) x) (.f64 (sqrt.f64 2) 0))
(*.f64 (sqrt.f64 2) x)
(+.f64 (.f64 (sqrt.f64 2) x) (.f64 (sqrt.f64 2) (-.f64 x x)))
(*.f64 (sqrt.f64 2) x)
(+.f64 (.f64 (sqrt.f64 2) x) (.f64 0 (-.f64 (sqrt.f64 2) x)))
(*.f64 (sqrt.f64 2) x)
(+.f64 (.f64 (sqrt.f64 2) x) (+.f64 (-.f64 x x) (.f64 (sqrt.f64 2) 0)))
(*.f64 (sqrt.f64 2) x)
(+.f64 (.f64 (sqrt.f64 2) x) (+.f64 0 (.f64 0 (-.f64 (sqrt.f64 2) x))))
(*.f64 (sqrt.f64 2) x)
(+.f64 (.f64 (sqrt.f64 2) x) (+.f64 0 (+.f64 (-.f64 x x) (.f64 (sqrt.f64 2) 0))))
(*.f64 (sqrt.f64 2) x)
(+.f64 (.f64 (sqrt.f64 2) x) (+.f64 (-.f64 x x) (.f64 0 (-.f64 (sqrt.f64 2) x))))
(*.f64 (sqrt.f64 2) x)
(+.f64 (.f64 (sqrt.f64 2) x) (+.f64 (-.f64 x x) (+.f64 (-.f64 x x) (.f64 (sqrt.f64 2) 0))))
(*.f64 (sqrt.f64 2) x)
(+.f64 (.f64 (sqrt.f64 2) x) (+.f64 (.f64 (sqrt.f64 2) 0) (*.f64 0 (-.f64 (sqrt.f64 2) x))))
(*.f64 (sqrt.f64 2) x)
(+.f64 (.f64 (sqrt.f64 2) x) (+.f64 (.f64 (sqrt.f64 2) 0) (+.f64 (-.f64 x x) (*.f64 (sqrt.f64 2) 0))))
(*.f64 (sqrt.f64 2) x)
(+.f64 (.f64 (sqrt.f64 2) x) (-.f64 (.f64 0 (-.f64 (sqrt.f64 2) x)) (-.f64 x x)))
(*.f64 (sqrt.f64 2) x)
(+.f64 (.f64 (sqrt.f64 2) x) (-.f64 (+.f64 (-.f64 x x) (.f64 (sqrt.f64 2) 0)) (-.f64 x x)))
(*.f64 (sqrt.f64 2) x)
(+.f64 (.f64 (sqrt.f64 2) x) (-.f64 (.f64 0 (-.f64 (sqrt.f64 2) x)) (*.f64 (sqrt.f64 2) 0)))
(*.f64 (sqrt.f64 2) x)
(+.f64 (.f64 (sqrt.f64 2) x) (-.f64 (+.f64 (-.f64 x x) (.f64 (sqrt.f64 2) 0)) (*.f64 (sqrt.f64 2) 0)))
(*.f64 (sqrt.f64 2) x)
(+.f64 (.f64 (sqrt.f64 2) x) (-.f64 (.f64 0 (-.f64 (sqrt.f64 2) x)) (*.f64 (sqrt.f64 2) (-.f64 x x))))
(*.f64 (sqrt.f64 2) x)
(+.f64 (.f64 (sqrt.f64 2) x) (-.f64 (+.f64 (-.f64 x x) (.f64 (sqrt.f64 2) 0)) (*.f64 (sqrt.f64 2) (-.f64 x x))))
(*.f64 (sqrt.f64 2) x)
(+.f64 (.f64 (sqrt.f64 2) x) (.f64 1 (*.f64 0 (-.f64 (sqrt.f64 2) x))))
(*.f64 (sqrt.f64 2) x)
(+.f64 (.f64 (sqrt.f64 2) x) (.f64 1 (+.f64 (-.f64 x x) (*.f64 (sqrt.f64 2) 0))))
(*.f64 (sqrt.f64 2) x)
(+.f64 0 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) x)
(+.f64 (-.f64 x x) (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) x)
(+.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 (sqrt.f64 2) (+.f64 x x)))
(*.f64 (sqrt.f64 2) x)
(+.f64 (.f64 (sqrt.f64 2) 0) (.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) x)
(+.f64 (.f64 (sqrt.f64 2) (+.f64 x x)) (.f64 (sqrt.f64 2) (neg.f64 x)))
(*.f64 (sqrt.f64 2) x)
(+.f64 (.f64 (sqrt.f64 2) (-.f64 x x)) (.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) x)
(+.f64 (.f64 0 (-.f64 (sqrt.f64 2) x)) (.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) x)
(+.f64 (+.f64 (-.f64 x x) (.f64 (sqrt.f64 2) 0)) (.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) x)
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 1/2)) (.f64 (sqrt.f64 2) (.f64 x 1/2)))
(*.f64 (sqrt.f64 2) x)
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 1/2)) (+.f64 0 (.f64 (sqrt.f64 2) (.f64 x 1/2))))
(*.f64 (sqrt.f64 2) x)
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 1/2)) (.f64 (.f64 (sqrt.f64 2) 1/2) x))
(*.f64 (sqrt.f64 2) x)
(+.f64 (.f64 (.f64 2 (sqrt.f64 2)) (+.f64 x x)) (-.f64 0 (.f64 (sqrt.f64 2) (.f64 x 3))))
(+.f64 (.f64 (+.f64 x x) (.f64 2 (sqrt.f64 2))) (neg.f64 (.f64 (sqrt.f64 2) (.f64 x 3))))
(.f64 (sqrt.f64 2) (-.f64 (/.f64 x 1/4) (.f64 x 3)))
(+.f64 (.f64 (.f64 2 (sqrt.f64 2)) (+.f64 x x)) (-.f64 (-.f64 x x) (.f64 (sqrt.f64 2) (.f64 x 3))))
(+.f64 (.f64 (+.f64 x x) (.f64 2 (sqrt.f64 2))) (neg.f64 (.f64 (sqrt.f64 2) (.f64 x 3))))
(.f64 (sqrt.f64 2) (-.f64 (/.f64 x 1/4) (.f64 x 3)))
(+.f64 (.f64 (.f64 2 (sqrt.f64 2)) (+.f64 x x)) (-.f64 (.f64 (sqrt.f64 2) 0) (.f64 (sqrt.f64 2) (*.f64 x 3))))
(+.f64 (.f64 (+.f64 x x) (.f64 2 (sqrt.f64 2))) (neg.f64 (.f64 (sqrt.f64 2) (.f64 x 3))))
(.f64 (sqrt.f64 2) (-.f64 (/.f64 x 1/4) (.f64 x 3)))
(+.f64 (.f64 (.f64 (sqrt.f64 2) 1/2) x) (.f64 (sqrt.f64 2) (.f64 x 1/2)))
(*.f64 (sqrt.f64 2) x)
(+.f64 (.f64 (.f64 (sqrt.f64 2) x) 1/2) (.f64 (sqrt.f64 2) (.f64 x 1/2)))
(*.f64 (sqrt.f64 2) x)
(-.f64 (*.f64 (sqrt.f64 2) x) 0)
(*.f64 (sqrt.f64 2) x)
(-.f64 (*.f64 (sqrt.f64 2) x) (-.f64 x x))
(*.f64 (sqrt.f64 2) x)
(-.f64 (.f64 (sqrt.f64 2) x) (.f64 (sqrt.f64 2) 0))
(*.f64 (sqrt.f64 2) x)
(-.f64 (.f64 (sqrt.f64 2) x) (.f64 (sqrt.f64 2) (-.f64 x x)))
(*.f64 (sqrt.f64 2) x)
(-.f64 (.f64 (sqrt.f64 2) x) (.f64 0 (-.f64 (sqrt.f64 2) x)))
(*.f64 (sqrt.f64 2) x)
(-.f64 (.f64 (sqrt.f64 2) x) (+.f64 (-.f64 x x) (.f64 (sqrt.f64 2) 0)))
(*.f64 (sqrt.f64 2) x)
(-.f64 (.f64 (sqrt.f64 2) x) (+.f64 (.f64 (sqrt.f64 2) (-.f64 x x)) (-.f64 x x)))
(*.f64 (sqrt.f64 2) x)
(-.f64 (.f64 (sqrt.f64 2) x) (+.f64 (.f64 (sqrt.f64 2) (-.f64 x x)) (*.f64 (sqrt.f64 2) 0)))
(*.f64 (sqrt.f64 2) x)
(-.f64 (.f64 (sqrt.f64 2) x) (+.f64 (.f64 (sqrt.f64 2) (-.f64 x x)) (*.f64 (sqrt.f64 2) (-.f64 x x))))
(*.f64 (sqrt.f64 2) x)
(-.f64 0 (*.f64 (sqrt.f64 2) (neg.f64 x)))
(*.f64 (sqrt.f64 2) x)
(-.f64 (-.f64 x x) (*.f64 (sqrt.f64 2) (neg.f64 x)))
(*.f64 (sqrt.f64 2) x)
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (-.f64 0 (.f64 (sqrt.f64 2) (+.f64 x x))))
(*.f64 (sqrt.f64 2) x)
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (-.f64 (-.f64 x x) (.f64 (sqrt.f64 2) (+.f64 x x))))
(*.f64 (sqrt.f64 2) x)
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (-.f64 (.f64 (sqrt.f64 2) 0) (*.f64 (sqrt.f64 2) (+.f64 x x))))
(*.f64 (sqrt.f64 2) x)
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 (neg.f64 x) (*.f64 2 (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) x)
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (/.f64 (.f64 (sqrt.f64 2) (+.f64 x x)) -1))
(*.f64 (sqrt.f64 2) x)
(-.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) (/.f64 (+.f64 x x) (/.f64 -1 (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) x)
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (/.f64 (.f64 2 (sqrt.f64 2)) (/.f64 -1 x)))
(*.f64 (sqrt.f64 2) x)
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 (neg.f64 (sqrt.f64 2)) (+.f64 x x)))
(*.f64 (sqrt.f64 2) x)
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 -1 (*.f64 (sqrt.f64 2) (+.f64 x x))))
(*.f64 (sqrt.f64 2) x)
(-.f64 (.f64 (sqrt.f64 2) 0) (.f64 (sqrt.f64 2) (neg.f64 x)))
(*.f64 (sqrt.f64 2) x)
(-.f64 (.f64 (sqrt.f64 2) (+.f64 x x)) (.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) x)
(-.f64 (.f64 (sqrt.f64 2) (-.f64 x x)) (.f64 (sqrt.f64 2) (neg.f64 x)))
(*.f64 (sqrt.f64 2) x)
(-.f64 (.f64 0 (-.f64 (sqrt.f64 2) x)) (.f64 (sqrt.f64 2) (neg.f64 x)))
(*.f64 (sqrt.f64 2) x)
(-.f64 (+.f64 (-.f64 x x) (.f64 (sqrt.f64 2) 0)) (.f64 (sqrt.f64 2) (neg.f64 x)))
(*.f64 (sqrt.f64 2) x)
(-.f64 (.f64 (sqrt.f64 2) (.f64 x 3)) (*.f64 (sqrt.f64 2) (+.f64 x x)))
(.f64 (sqrt.f64 2) (-.f64 (.f64 x 3) (+.f64 x x)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 2)) (+.f64 x x)) (.f64 (sqrt.f64 2) (.f64 x 3)))
(+.f64 (.f64 (+.f64 x x) (.f64 2 (sqrt.f64 2))) (neg.f64 (.f64 (sqrt.f64 2) (.f64 x 3))))
(.f64 (sqrt.f64 2) (-.f64 (/.f64 x 1/4) (.f64 x 3)))
(-.f64 (-.f64 (.f64 (.f64 2 (sqrt.f64 2)) (+.f64 x x)) (.f64 (sqrt.f64 2) (-.f64 x x))) (.f64 (sqrt.f64 2) (*.f64 x 3)))
(+.f64 (.f64 (+.f64 x x) (.f64 2 (sqrt.f64 2))) (neg.f64 (.f64 (sqrt.f64 2) (.f64 x 3))))
(.f64 (sqrt.f64 2) (-.f64 (/.f64 x 1/4) (.f64 x 3)))
(-.f64 (+.f64 (-.f64 x x) (.f64 (.f64 2 (sqrt.f64 2)) (+.f64 x x))) (.f64 (sqrt.f64 2) (.f64 x 3)))
(+.f64 (.f64 (+.f64 x x) (.f64 2 (sqrt.f64 2))) (neg.f64 (.f64 (sqrt.f64 2) (.f64 x 3))))
(.f64 (sqrt.f64 2) (-.f64 (/.f64 x 1/4) (.f64 x 3)))
(-.f64 (+.f64 (.f64 (sqrt.f64 2) 0) (.f64 (.f64 2 (sqrt.f64 2)) (+.f64 x x))) (.f64 (sqrt.f64 2) (*.f64 x 3)))
(+.f64 (.f64 (+.f64 x x) (.f64 2 (sqrt.f64 2))) (neg.f64 (.f64 (sqrt.f64 2) (.f64 x 3))))
(.f64 (sqrt.f64 2) (-.f64 (/.f64 x 1/4) (.f64 x 3)))
(-.f64 (/.f64 (.f64 (sqrt.f64 2) 3) (/.f64 2 x)) (.f64 (sqrt.f64 2) (*.f64 x 1/2)))
(-.f64 (.f64 3 (/.f64 (sqrt.f64 2) (/.f64 2 x))) (.f64 (sqrt.f64 2) (*.f64 x 1/2)))
(.f64 (.f64 (sqrt.f64 2) 1/2) (-.f64 (*.f64 x 3) x))
(.f64 -1/2 (.f64 (sqrt.f64 2) (-.f64 x (*.f64 x 3))))
(-.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 x 3)) 2) (.f64 (sqrt.f64 2) (.f64 x 1/2)))
(-.f64 (.f64 3 (/.f64 (sqrt.f64 2) (/.f64 2 x))) (.f64 (sqrt.f64 2) (*.f64 x 1/2)))
(.f64 (.f64 (sqrt.f64 2) 1/2) (-.f64 (*.f64 x 3) x))
(.f64 -1/2 (.f64 (sqrt.f64 2) (-.f64 x (*.f64 x 3))))
(-.f64 (/.f64 (.f64 x 3) (/.f64 2 (sqrt.f64 2))) (.f64 (sqrt.f64 2) (*.f64 x 1/2)))
(-.f64 (.f64 3 (/.f64 (sqrt.f64 2) (/.f64 2 x))) (.f64 (sqrt.f64 2) (*.f64 x 1/2)))
(.f64 (.f64 (sqrt.f64 2) 1/2) (-.f64 (*.f64 x 3) x))
(.f64 -1/2 (.f64 (sqrt.f64 2) (-.f64 x (*.f64 x 3))))
(-.f64 (.f64 0 (/.f64 (sqrt.f64 2) -1/2)) (.f64 (sqrt.f64 2) (neg.f64 x)))
(*.f64 (sqrt.f64 2) x)
(-.f64 (.f64 (/.f64 x 1/4) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (*.f64 x 3)))
(+.f64 (.f64 (+.f64 x x) (.f64 2 (sqrt.f64 2))) (neg.f64 (.f64 (sqrt.f64 2) (.f64 x 3))))
(.f64 (sqrt.f64 2) (-.f64 (/.f64 x 1/4) (.f64 x 3)))
(-.f64 (.f64 (.f64 (.f64 2 (sqrt.f64 2)) 2) x) (.f64 (sqrt.f64 2) (*.f64 x 3)))
(+.f64 (.f64 (+.f64 x x) (.f64 2 (sqrt.f64 2))) (neg.f64 (.f64 (sqrt.f64 2) (.f64 x 3))))
(.f64 (sqrt.f64 2) (-.f64 (/.f64 x 1/4) (.f64 x 3)))
(-.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 x 3)) 1/2) (.f64 (sqrt.f64 2) (*.f64 x 1/2)))
(-.f64 (.f64 3 (/.f64 (sqrt.f64 2) (/.f64 2 x))) (.f64 (sqrt.f64 2) (*.f64 x 1/2)))
(.f64 (.f64 (sqrt.f64 2) 1/2) (-.f64 (*.f64 x 3) x))
(.f64 -1/2 (.f64 (sqrt.f64 2) (-.f64 x (*.f64 x 3))))
(-.f64 (.f64 (.f64 (sqrt.f64 2) 3) (.f64 x 1/2)) (.f64 (sqrt.f64 2) (*.f64 x 1/2)))
(-.f64 (.f64 3 (/.f64 (sqrt.f64 2) (/.f64 2 x))) (.f64 (sqrt.f64 2) (*.f64 x 1/2)))
(.f64 (.f64 (sqrt.f64 2) 1/2) (-.f64 (*.f64 x 3) x))
(.f64 -1/2 (.f64 (sqrt.f64 2) (-.f64 x (*.f64 x 3))))
(-.f64 (.f64 (-.f64 x x) -1) (.f64 (sqrt.f64 2) (neg.f64 x)))
(*.f64 (sqrt.f64 2) x)
(-.f64 (.f64 (.f64 (sqrt.f64 2) 0) -1) (*.f64 (sqrt.f64 2) (neg.f64 x)))
(*.f64 (sqrt.f64 2) x)
(-.f64 (.f64 (.f64 x 3) (.f64 (sqrt.f64 2) 1/2)) (.f64 (*.f64 (sqrt.f64 2) 1/2) x))
(-.f64 (.f64 3 (/.f64 (sqrt.f64 2) (/.f64 2 x))) (.f64 (sqrt.f64 2) (*.f64 x 1/2)))
(.f64 (.f64 (sqrt.f64 2) 1/2) (-.f64 (*.f64 x 3) x))
(.f64 -1/2 (.f64 (sqrt.f64 2) (-.f64 x (*.f64 x 3))))
(-.f64 (+.f64 (.f64 (.f64 2 (sqrt.f64 2)) (+.f64 x x)) (.f64 (.f64 2 (sqrt.f64 2)) (+.f64 x x))) (+.f64 (.f64 (.f64 2 (sqrt.f64 2)) (+.f64 x x)) (.f64 (sqrt.f64 2) (.f64 x 3))))
(+.f64 (.f64 (+.f64 x x) (.f64 2 (sqrt.f64 2))) (neg.f64 (.f64 (sqrt.f64 2) (.f64 x 3))))
(.f64 (sqrt.f64 2) (-.f64 (/.f64 x 1/4) (.f64 x 3)))
(.f64 2 (.f64 (sqrt.f64 2) (*.f64 x 1/2)))
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(.f64 1 (.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(*.f64 (sqrt.f64 2) x)
(.f64 (.f64 (sqrt.f64 2) x) 1)
(*.f64 (sqrt.f64 2) x)
(.f64 (.f64 2 (sqrt.f64 2)) (*.f64 x 1/2))
(*.f64 (sqrt.f64 2) x)
(.f64 1/2 (.f64 (sqrt.f64 2) (+.f64 x x)))
(*.f64 (sqrt.f64 2) x)
(.f64 (.f64 x 1/2) (*.f64 2 (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) x)
(.f64 (.f64 x 1/2) (/.f64 1/2 (*.f64 1/2 (/.f64 1/2 (sqrt.f64 2)))))
(*.f64 (sqrt.f64 2) x)
(.f64 -1 (.f64 (sqrt.f64 2) (neg.f64 x)))
(*.f64 (sqrt.f64 2) x)
(*.f64 (neg.f64 x) (neg.f64 (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) x)
(.f64 (neg.f64 x) (/.f64 (.f64 (sqrt.f64 2) 1/2) -1/2))
(*.f64 (sqrt.f64 2) x)
(*.f64 (neg.f64 (sqrt.f64 2)) (neg.f64 x))
(*.f64 (sqrt.f64 2) x)
(*.f64 (neg.f64 (sqrt.f64 2)) (/.f64 1/2 (neg.f64 (/.f64 1/2 x))))
(*.f64 (sqrt.f64 2) x)
(.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) -1)
(*.f64 (sqrt.f64 2) x)
(.f64 (.f64 (sqrt.f64 2) 1/2) (+.f64 x x))
(*.f64 (sqrt.f64 2) x)
(.f64 1/4 (.f64 (*.f64 2 (sqrt.f64 2)) (+.f64 x x)))
(*.f64 (sqrt.f64 2) x)
(*.f64 1/4 (/.f64 (+.f64 x x) (/.f64 1/2 (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) x)
(.f64 -1/2 (-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (*.f64 (sqrt.f64 2) x)))
(*.f64 (sqrt.f64 2) x)
(.f64 -1/2 (-.f64 (.f64 (sqrt.f64 2) x) (.f64 (sqrt.f64 2) (.f64 x 3))))
(-.f64 (.f64 3 (/.f64 (sqrt.f64 2) (/.f64 2 x))) (.f64 (sqrt.f64 2) (*.f64 x 1/2)))
(.f64 (.f64 (sqrt.f64 2) 1/2) (-.f64 (*.f64 x 3) x))
(.f64 -1/2 (.f64 (sqrt.f64 2) (-.f64 x (*.f64 x 3))))
(.f64 -1/2 (-.f64 0 (.f64 (sqrt.f64 2) (+.f64 x x))))
(*.f64 (sqrt.f64 2) x)
(.f64 -1/2 (-.f64 (-.f64 x x) (.f64 (sqrt.f64 2) (+.f64 x x))))
(*.f64 (sqrt.f64 2) x)
(.f64 -1/2 (-.f64 (.f64 (sqrt.f64 2) 0) (*.f64 (sqrt.f64 2) (+.f64 x x))))
(*.f64 (sqrt.f64 2) x)
(*.f64 -1/2 (/.f64 (/.f64 (sqrt.f64 2) -1/2) (/.f64 1 x)))
(*.f64 (sqrt.f64 2) x)
(*.f64 -1/2 (/.f64 (/.f64 x -1/2) (/.f64 1 (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) x)
(.f64 -1/2 (.f64 (*.f64 2 (sqrt.f64 2)) (neg.f64 x)))
(*.f64 (sqrt.f64 2) x)
(.f64 -1/2 (.f64 x (/.f64 (sqrt.f64 2) -1/2)))
(*.f64 (sqrt.f64 2) x)
(.f64 (.f64 (sqrt.f64 2) (+.f64 x x)) 1/2)
(*.f64 (sqrt.f64 2) x)
(.f64 (+.f64 x x) (.f64 (sqrt.f64 2) 1/2))
(*.f64 (sqrt.f64 2) x)
(*.f64 (/.f64 x -1/2) (/.f64 (sqrt.f64 2) -2))
(*.f64 (sqrt.f64 2) x)
(.f64 (/.f64 x -1/2) (.f64 (sqrt.f64 2) -1/2))
(*.f64 (sqrt.f64 2) x)
(*.f64 -2 (/.f64 1/2 (/.f64 (/.f64 -1 x) (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) x)
(*.f64 (/.f64 (sqrt.f64 2) -2) (/.f64 x -1/2))
(*.f64 (sqrt.f64 2) x)
(.f64 (/.f64 (sqrt.f64 2) -2) (-.f64 x (.f64 x 3)))
(-.f64 (.f64 3 (/.f64 (sqrt.f64 2) (/.f64 2 x))) (.f64 (sqrt.f64 2) (*.f64 x 1/2)))
(.f64 (.f64 (sqrt.f64 2) 1/2) (-.f64 (*.f64 x 3) x))
(.f64 -1/2 (.f64 (sqrt.f64 2) (-.f64 x (*.f64 x 3))))
(*.f64 (/.f64 x 1/4) (/.f64 1/2 (/.f64 2 (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) x)
(*.f64 (/.f64 (sqrt.f64 2) -1/2) (/.f64 x -2))
(*.f64 (sqrt.f64 2) x)
(.f64 (/.f64 (sqrt.f64 2) -1/2) (.f64 x -1/2))
(*.f64 (sqrt.f64 2) x)
(*.f64 (/.f64 x -2) (/.f64 (sqrt.f64 2) -1/2))
(*.f64 (sqrt.f64 2) x)
(*.f64 (/.f64 x -2) (/.f64 -1 (/.f64 1/2 (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) x)
(.f64 (/.f64 x 4) (.f64 (*.f64 2 (sqrt.f64 2)) 2))
(*.f64 (sqrt.f64 2) x)
(*.f64 (/.f64 x 4) (/.f64 2 (/.f64 1/2 (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) x)
(.f64 (.f64 (sqrt.f64 2) (*.f64 x 1/2)) 2)
(*.f64 (sqrt.f64 2) x)
(.f64 (.f64 (*.f64 2 (sqrt.f64 2)) 2) (/.f64 x 4))
(*.f64 (sqrt.f64 2) x)
(.f64 (.f64 (.f64 2 (sqrt.f64 2)) 2) (.f64 (*.f64 x 1/2) 1/2))
(*.f64 (sqrt.f64 2) x)
(.f64 (.f64 (.f64 2 (sqrt.f64 2)) 2) (-.f64 (.f64 x 1/2) (/.f64 x 4)))
(*.f64 (sqrt.f64 2) x)
(.f64 (-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (*.f64 (sqrt.f64 2) x)) -1/2)
(*.f64 (sqrt.f64 2) x)
(.f64 (.f64 (*.f64 2 (sqrt.f64 2)) (+.f64 x x)) 1/4)
(*.f64 (sqrt.f64 2) x)
(*.f64 (+.f64 (/.f64 (sqrt.f64 2) -1/2) (/.f64 (sqrt.f64 2) -1/2)) (/.f64 1/2 (neg.f64 (/.f64 2 x))))
(*.f64 (sqrt.f64 2) x)
(*.f64 (neg.f64 (+.f64 x x)) (/.f64 (sqrt.f64 2) -2))
(*.f64 (sqrt.f64 2) x)
(neg.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)))
(*.f64 (sqrt.f64 2) x)

localize11.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 (sqrt.f64 2) (.f64 x -1/2))

Compiler

Compiled 23 to 19 computations (17.4% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(.f64 (sqrt.f64 2) (.f64 x -1/2))
0.0ms	x	@	0	(.f64 (sqrt.f64 2) (.f64 x -1/2))
0.0ms	x	@	inf	(.f64 (sqrt.f64 2) (.f64 x -1/2))

rewrite61.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1132×	`rational.json-1`
1132×	`rational.json-2`
1132×	`rational.json-3`
1126×	`rational.json-4`
594×	`rational.json-simplify-50`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	51	17
2	139	17
3	647	17
4	5350	17

Stop Event

1×	node limit

Counts

1 → 123

Calls

Call 1

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

Outputs

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

simplify79.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1532×	`rational.json-simplify-21`
1372×	`rational.json-simplify-23`
1056×	`rational.json-simplify-1`
814×	`rational.json-simplify-29`
586×	`rational.json-simplify-67`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	273	3211
1	1073	3023
2	5226	3023

Stop Event

1×	node limit

Counts

135 → 156

Calls

Call 1

Inputs
(.f64 -1/2 (.f64 (sqrt.f64 2) x))
(.f64 -1/2 (.f64 (sqrt.f64 2) x))
(.f64 -1/2 (.f64 (sqrt.f64 2) x))
(.f64 -1/2 (.f64 (sqrt.f64 2) x))
(.f64 -1/2 (.f64 (sqrt.f64 2) x))
(.f64 -1/2 (.f64 (sqrt.f64 2) x))
(.f64 -1/2 (.f64 (sqrt.f64 2) x))
(.f64 -1/2 (.f64 (sqrt.f64 2) x))
(.f64 -1/2 (.f64 (sqrt.f64 2) x))
(.f64 -1/2 (.f64 (sqrt.f64 2) x))
(.f64 -1/2 (.f64 (sqrt.f64 2) x))
(.f64 -1/2 (.f64 (sqrt.f64 2) x))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x -1/2)) 0)
(+.f64 (.f64 (sqrt.f64 2) (.f64 x -1/2)) (*.f64 (sqrt.f64 2) 0))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x -1/2)) (-.f64 x x))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x -1/2)) (.f64 0 (-.f64 (.f64 x -1/2) (sqrt.f64 2))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x -1/2)) (*.f64 (sqrt.f64 2) (-.f64 x x)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x -1/2)) (+.f64 (.f64 (sqrt.f64 2) 0) (.f64 0 (-.f64 (*.f64 x -1/2) (sqrt.f64 2)))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x -1/2)) (+.f64 (-.f64 x x) (.f64 0 (-.f64 (.f64 x -1/2) (sqrt.f64 2)))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x -1/2)) (-.f64 (.f64 0 (-.f64 (.f64 x -1/2) (sqrt.f64 2))) (*.f64 (sqrt.f64 2) 0)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x -1/2)) (-.f64 (.f64 0 (-.f64 (.f64 x -1/2) (sqrt.f64 2))) (-.f64 x x)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x -1/2)) (-.f64 (.f64 0 (-.f64 (.f64 x -1/2) (sqrt.f64 2))) (*.f64 (sqrt.f64 2) (-.f64 x x))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x -1/2)) (/.f64 -1 (/.f64 (/.f64 1 (sqrt.f64 2)) 0)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x -1/2)) (/.f64 -1 (/.f64 1 (*.f64 (sqrt.f64 2) 0))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x -1/2)) (/.f64 -1 (/.f64 (/.f64 -2 x) 0)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x -1/2)) (/.f64 -1 (/.f64 1 (-.f64 x x))))
(+.f64 0 (.f64 (sqrt.f64 2) (.f64 x -1/2)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 1/2)) (*.f64 (sqrt.f64 2) (neg.f64 x)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 1/2)) (/.f64 -1 (/.f64 (/.f64 1 (sqrt.f64 2)) x)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 1/2)) (/.f64 -1 (/.f64 1 (*.f64 (sqrt.f64 2) x))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 1/2)) (/.f64 -1 (/.f64 -1 (*.f64 (sqrt.f64 2) (neg.f64 x)))))
(+.f64 (.f64 (sqrt.f64 2) 0) (.f64 (sqrt.f64 2) (*.f64 x -1/2)))
(+.f64 (*.f64 (sqrt.f64 2) 0) (/.f64 -1 (/.f64 (/.f64 2 x) (sqrt.f64 2))))
(+.f64 (.f64 (sqrt.f64 2) 0) (/.f64 -1 (/.f64 (/.f64 -1 (sqrt.f64 2)) (.f64 x -1/2))))
(+.f64 (*.f64 (sqrt.f64 2) 0) (/.f64 -1 (neg.f64 (/.f64 (/.f64 -2 x) (sqrt.f64 2)))))
(+.f64 (-.f64 x x) (.f64 (sqrt.f64 2) (.f64 x -1/2)))
(+.f64 (-.f64 x x) (/.f64 -1 (/.f64 (/.f64 2 x) (sqrt.f64 2))))
(+.f64 (-.f64 x x) (/.f64 -1 (/.f64 (/.f64 -1 (sqrt.f64 2)) (*.f64 x -1/2))))
(+.f64 (-.f64 x x) (/.f64 -1 (neg.f64 (/.f64 (/.f64 -2 x) (sqrt.f64 2)))))
(+.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 (sqrt.f64 2) (*.f64 x 1/2)))
(+.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (/.f64 -1 (.f64 (/.f64 1 x) (/.f64 -2 (sqrt.f64 2)))))
(+.f64 (.f64 0 (-.f64 (.f64 x -1/2) (sqrt.f64 2))) (.f64 (sqrt.f64 2) (.f64 x -1/2)))
(+.f64 (.f64 (sqrt.f64 2) (-.f64 x x)) (.f64 (sqrt.f64 2) (*.f64 x -1/2)))
(+.f64 (.f64 2 (.f64 (sqrt.f64 2) (neg.f64 x))) (neg.f64 (.f64 (sqrt.f64 2) (.f64 x -3/2))))
(+.f64 (.f64 2 (.f64 (sqrt.f64 2) (neg.f64 x))) (-.f64 (.f64 (sqrt.f64 2) 0) (.f64 (sqrt.f64 2) (*.f64 x -3/2))))
(+.f64 (.f64 2 (.f64 (sqrt.f64 2) (neg.f64 x))) (-.f64 (-.f64 x x) (.f64 (sqrt.f64 2) (.f64 x -3/2))))
(+.f64 (+.f64 (.f64 (sqrt.f64 2) 0) (.f64 0 (-.f64 (.f64 x -1/2) (sqrt.f64 2)))) (.f64 (sqrt.f64 2) (*.f64 x -1/2)))
(+.f64 (+.f64 (-.f64 x x) (.f64 0 (-.f64 (.f64 x -1/2) (sqrt.f64 2)))) (.f64 (sqrt.f64 2) (.f64 x -1/2)))
(+.f64 (neg.f64 (.f64 (sqrt.f64 2) (.f64 x -3/2))) (.f64 2 (.f64 (sqrt.f64 2) (neg.f64 x))))
(+.f64 (-.f64 (.f64 (sqrt.f64 2) 0) (.f64 (sqrt.f64 2) (.f64 x -3/2))) (.f64 2 (*.f64 (sqrt.f64 2) (neg.f64 x))))
(+.f64 (-.f64 (-.f64 x x) (.f64 (sqrt.f64 2) (.f64 x -3/2))) (.f64 2 (.f64 (sqrt.f64 2) (neg.f64 x))))
(+.f64 (-.f64 (.f64 0 (-.f64 (.f64 x -1/2) (sqrt.f64 2))) (.f64 (sqrt.f64 2) 0)) (.f64 (sqrt.f64 2) (*.f64 x -1/2)))
(+.f64 (-.f64 (.f64 0 (-.f64 (.f64 x -1/2) (sqrt.f64 2))) (-.f64 x x)) (.f64 (sqrt.f64 2) (.f64 x -1/2)))
(+.f64 (-.f64 (.f64 0 (-.f64 (.f64 x -1/2) (sqrt.f64 2))) (.f64 (sqrt.f64 2) (-.f64 x x))) (.f64 (sqrt.f64 2) (*.f64 x -1/2)))
(+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 x -1/2)) 1/2) (.f64 (.f64 (sqrt.f64 2) (.f64 x -1/2)) 1/2))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x -1/2)) 0)
(-.f64 (.f64 (sqrt.f64 2) (.f64 x -1/2)) (*.f64 (sqrt.f64 2) 0))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x -1/2)) (-.f64 x x))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x -1/2)) (.f64 0 (-.f64 (.f64 x -1/2) (sqrt.f64 2))))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x -1/2)) (*.f64 (sqrt.f64 2) (-.f64 x x)))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x -1/2)) (+.f64 (.f64 (sqrt.f64 2) 0) (.f64 0 (-.f64 (*.f64 x -1/2) (sqrt.f64 2)))))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x -1/2)) (+.f64 (-.f64 x x) (.f64 0 (-.f64 (.f64 x -1/2) (sqrt.f64 2)))))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x -1/2)) (-.f64 (.f64 0 (-.f64 (.f64 x -1/2) (sqrt.f64 2))) (*.f64 (sqrt.f64 2) 0)))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x -1/2)) (-.f64 (.f64 0 (-.f64 (.f64 x -1/2) (sqrt.f64 2))) (-.f64 x x)))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x -1/2)) (-.f64 (.f64 0 (-.f64 (.f64 x -1/2) (sqrt.f64 2))) (*.f64 (sqrt.f64 2) (-.f64 x x))))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x -1/2)) (+.f64 (.f64 (sqrt.f64 2) (-.f64 x x)) (.f64 (sqrt.f64 2) (-.f64 x x))))
(-.f64 0 (.f64 (sqrt.f64 2) (.f64 x 1/2)))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x 1/2)) (*.f64 (sqrt.f64 2) x))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x 1/2)) (/.f64 (*.f64 2 (sqrt.f64 2)) (/.f64 2 x)))
(-.f64 (.f64 (sqrt.f64 2) 0) (.f64 (sqrt.f64 2) (*.f64 x 1/2)))
(-.f64 (-.f64 x x) (.f64 (sqrt.f64 2) (.f64 x 1/2)))
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 (sqrt.f64 2) (*.f64 x -1/2)))
(-.f64 (.f64 0 (-.f64 (.f64 x -1/2) (sqrt.f64 2))) (.f64 (sqrt.f64 2) (.f64 x 1/2)))
(-.f64 (.f64 (sqrt.f64 2) (-.f64 x x)) (.f64 (sqrt.f64 2) (*.f64 x 1/2)))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x -3/2)) (*.f64 (sqrt.f64 2) (neg.f64 x)))
(-.f64 (.f64 2 (.f64 (sqrt.f64 2) (neg.f64 x))) (.f64 (sqrt.f64 2) (.f64 x -3/2)))
(-.f64 (-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 (sqrt.f64 2) x)) (.f64 (sqrt.f64 2) (.f64 x -3/2)))
(-.f64 (+.f64 (.f64 (sqrt.f64 2) 0) (.f64 2 (.f64 (sqrt.f64 2) (neg.f64 x)))) (.f64 (sqrt.f64 2) (*.f64 x -3/2)))
(-.f64 (+.f64 (-.f64 x x) (.f64 2 (.f64 (sqrt.f64 2) (neg.f64 x)))) (.f64 (sqrt.f64 2) (.f64 x -3/2)))
(-.f64 (/.f64 (+.f64 x (.f64 x 3)) (/.f64 -2 (sqrt.f64 2))) (/.f64 (.f64 x 3) (/.f64 -2 (sqrt.f64 2))))
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 (+.f64 x x))) (.f64 (sqrt.f64 2) (*.f64 x -3/2)))
(-.f64 (.f64 (.f64 x -1/2) (.f64 2 (.f64 2 (sqrt.f64 2)))) (.f64 (sqrt.f64 2) (.f64 x -3/2)))
(-.f64 (.f64 (.f64 (sqrt.f64 2) -1/2) (+.f64 x (.f64 x 3))) (.f64 (sqrt.f64 2) (*.f64 x -3/2)))
(-.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 x -3/2))) (.f64 (.f64 (sqrt.f64 2) (.f64 x -1/2)) 1/2))
(-.f64 (+.f64 (.f64 2 (.f64 (sqrt.f64 2) (neg.f64 x))) (.f64 2 (.f64 (sqrt.f64 2) (neg.f64 x)))) (+.f64 (.f64 (sqrt.f64 2) (.f64 x -3/2)) (.f64 2 (.f64 (sqrt.f64 2) (neg.f64 x)))))
(/.f64 (sqrt.f64 2) (/.f64 -2 x))
(/.f64 x (/.f64 -2 (sqrt.f64 2)))
(/.f64 x (*.f64 (/.f64 1 (sqrt.f64 2)) -2))
(/.f64 -1/2 (/.f64 (/.f64 1 x) (sqrt.f64 2)))
(/.f64 -1/2 (/.f64 (/.f64 1 (sqrt.f64 2)) x))
(/.f64 -1/2 (/.f64 1 (*.f64 (sqrt.f64 2) x)))
(/.f64 -1/2 (/.f64 -1 (*.f64 (sqrt.f64 2) (neg.f64 x))))
(/.f64 (*.f64 x -1/2) (/.f64 1 (sqrt.f64 2)))
(/.f64 (.f64 (sqrt.f64 2) (.f64 x -1/2)) 1)
(/.f64 1 (/.f64 (/.f64 -2 x) (sqrt.f64 2)))
(/.f64 1 (*.f64 (/.f64 1 x) (/.f64 -2 (sqrt.f64 2))))
(/.f64 (*.f64 (sqrt.f64 2) -1/2) (/.f64 1 x))
(/.f64 -1 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 x 1/2))))
(/.f64 (.f64 (sqrt.f64 2) (.f64 x 1/2)) -1)
(/.f64 (*.f64 x 1/2) (/.f64 -1 (sqrt.f64 2)))
(/.f64 (neg.f64 (sqrt.f64 2)) (/.f64 2 x))
(/.f64 (*.f64 (sqrt.f64 2) x) -2)
(/.f64 1/2 (/.f64 (/.f64 -1 x) (sqrt.f64 2)))
(/.f64 1/2 (/.f64 (/.f64 1/2 (sqrt.f64 2)) (*.f64 x -1/2)))
(/.f64 1/2 (/.f64 (/.f64 1/2 x) (*.f64 (sqrt.f64 2) -1/2)))
(/.f64 1/2 (/.f64 (/.f64 -1 (sqrt.f64 2)) x))
(/.f64 1/2 (/.f64 (/.f64 -2 x) (*.f64 2 (sqrt.f64 2))))
(/.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (neg.f64 x))))
(/.f64 1/2 (/.f64 -1 (-.f64 (.f64 (sqrt.f64 2) (-.f64 x x)) (.f64 (sqrt.f64 2) (neg.f64 x)))))
(/.f64 (neg.f64 x) (/.f64 (/.f64 1 (sqrt.f64 2)) 1/2))
(/.f64 (neg.f64 x) (/.f64 2 (sqrt.f64 2)))
(/.f64 (neg.f64 x) (/.f64 -1 (*.f64 (sqrt.f64 2) -1/2)))
(/.f64 (neg.f64 x) (neg.f64 (/.f64 -2 (sqrt.f64 2))))
(/.f64 (*.f64 2 (sqrt.f64 2)) (/.f64 (/.f64 -2 x) 1/2))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 2) -1/2)) (/.f64 -1 x))
(/.f64 (*.f64 (sqrt.f64 2) 1/2) (/.f64 -1 x))
(/.f64 (*.f64 -1/2 (neg.f64 (sqrt.f64 2))) (/.f64 -1 x))
(/.f64 (/.f64 x -4) (/.f64 1/2 (sqrt.f64 2)))
(/.f64 (/.f64 (*.f64 (sqrt.f64 2) -1/2) 2) (/.f64 1/2 x))
(/.f64 (-.f64 (.f64 (sqrt.f64 2) -1/2) (+.f64 (.f64 (sqrt.f64 2) -1/2) (neg.f64 (sqrt.f64 2)))) (/.f64 -2 x))
(/.f64 (-.f64 (neg.f64 (.f64 (sqrt.f64 2) 3)) (neg.f64 (.f64 2 (*.f64 2 (sqrt.f64 2))))) (/.f64 -2 x))
(/.f64 (-.f64 (neg.f64 (.f64 x -3/2)) (.f64 x 1/2)) (/.f64 -2 (sqrt.f64 2)))
(/.f64 (-.f64 (.f64 x -3/2) (+.f64 (.f64 x -1/2) (neg.f64 (+.f64 x x)))) (/.f64 -2 (sqrt.f64 2)))
(/.f64 (-.f64 (neg.f64 (.f64 x 3)) (neg.f64 (+.f64 x (.f64 x 3)))) (/.f64 -2 (sqrt.f64 2)))
(/.f64 (-.f64 (neg.f64 (+.f64 x x)) (+.f64 (.f64 x -3/2) (.f64 x -3/2))) (/.f64 -2 (sqrt.f64 2)))
(/.f64 (-.f64 (.f64 (sqrt.f64 2) 3) (-.f64 (.f64 2 (sqrt.f64 2)) (neg.f64 (*.f64 2 (sqrt.f64 2))))) (/.f64 2 x))
(/.f64 (-.f64 (.f64 (sqrt.f64 2) 1/2) (.f64 1/2 (*.f64 (sqrt.f64 2) 3))) (/.f64 2 x))
(/.f64 (-.f64 (+.f64 (.f64 2 (.f64 2 (sqrt.f64 2))) (.f64 (sqrt.f64 2) 3)) (+.f64 (.f64 2 (.f64 2 (sqrt.f64 2))) (.f64 2 (*.f64 2 (sqrt.f64 2))))) (/.f64 2 x))
(/.f64 (-.f64 (/.f64 (.f64 x 3) -2) (/.f64 (+.f64 x (.f64 x 3)) -2)) (/.f64 -1 (sqrt.f64 2)))
(/.f64 (-.f64 (.f64 x -3/2) (.f64 -1/2 (+.f64 x (*.f64 x 3)))) (/.f64 -1 (sqrt.f64 2)))
(/.f64 (-.f64 (/.f64 x -4) (.f64 1/2 (.f64 x -3/2))) (/.f64 -1 (sqrt.f64 2)))
(/.f64 (-.f64 (+.f64 (*.f64 x -3/2) (neg.f64 (+.f64 x x))) (+.f64 (neg.f64 (+.f64 x x)) (neg.f64 (+.f64 x x)))) (/.f64 -1 (sqrt.f64 2)))
(/.f64 (-.f64 (neg.f64 (*.f64 x -3/2)) (+.f64 x x)) (/.f64 1 (sqrt.f64 2)))
(/.f64 (-.f64 (.f64 1/2 (.f64 x 3)) (+.f64 x x)) (/.f64 1 (sqrt.f64 2)))
(neg.f64 (.f64 (sqrt.f64 2) (.f64 x 1/2)))

Outputs
(.f64 -1/2 (.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (/.f64 x -2))
(.f64 (sqrt.f64 2) (.f64 -1/2 x))
(*.f64 x (/.f64 (sqrt.f64 2) -2))
(.f64 -1/2 (.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (/.f64 x -2))
(.f64 (sqrt.f64 2) (.f64 -1/2 x))
(*.f64 x (/.f64 (sqrt.f64 2) -2))
(.f64 -1/2 (.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (/.f64 x -2))
(.f64 (sqrt.f64 2) (.f64 -1/2 x))
(*.f64 x (/.f64 (sqrt.f64 2) -2))
(.f64 -1/2 (.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (/.f64 x -2))
(.f64 (sqrt.f64 2) (.f64 -1/2 x))
(*.f64 x (/.f64 (sqrt.f64 2) -2))
(.f64 -1/2 (.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (/.f64 x -2))
(.f64 (sqrt.f64 2) (.f64 -1/2 x))
(*.f64 x (/.f64 (sqrt.f64 2) -2))
(.f64 -1/2 (.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (/.f64 x -2))
(.f64 (sqrt.f64 2) (.f64 -1/2 x))
(*.f64 x (/.f64 (sqrt.f64 2) -2))
(.f64 -1/2 (.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (/.f64 x -2))
(.f64 (sqrt.f64 2) (.f64 -1/2 x))
(*.f64 x (/.f64 (sqrt.f64 2) -2))
(.f64 -1/2 (.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (/.f64 x -2))
(.f64 (sqrt.f64 2) (.f64 -1/2 x))
(*.f64 x (/.f64 (sqrt.f64 2) -2))
(.f64 -1/2 (.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (/.f64 x -2))
(.f64 (sqrt.f64 2) (.f64 -1/2 x))
(*.f64 x (/.f64 (sqrt.f64 2) -2))
(.f64 -1/2 (.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (/.f64 x -2))
(.f64 (sqrt.f64 2) (.f64 -1/2 x))
(*.f64 x (/.f64 (sqrt.f64 2) -2))
(.f64 -1/2 (.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (/.f64 x -2))
(.f64 (sqrt.f64 2) (.f64 -1/2 x))
(*.f64 x (/.f64 (sqrt.f64 2) -2))
(.f64 -1/2 (.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (/.f64 x -2))
(.f64 (sqrt.f64 2) (.f64 -1/2 x))
(*.f64 x (/.f64 (sqrt.f64 2) -2))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x -1/2)) 0)
(*.f64 (sqrt.f64 2) (/.f64 x -2))
(.f64 (sqrt.f64 2) (.f64 -1/2 x))
(*.f64 x (/.f64 (sqrt.f64 2) -2))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x -1/2)) (*.f64 (sqrt.f64 2) 0))
(*.f64 (sqrt.f64 2) (/.f64 x -2))
(.f64 (sqrt.f64 2) (.f64 -1/2 x))
(*.f64 x (/.f64 (sqrt.f64 2) -2))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x -1/2)) (-.f64 x x))
(+.f64 x (-.f64 (*.f64 (sqrt.f64 2) (/.f64 x -2)) x))
(+.f64 x (-.f64 (.f64 (sqrt.f64 2) (.f64 -1/2 x)) x))
(+.f64 x (-.f64 (*.f64 x (/.f64 (sqrt.f64 2) -2)) x))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x -1/2)) (.f64 0 (-.f64 (.f64 x -1/2) (sqrt.f64 2))))
(+.f64 (.f64 (sqrt.f64 2) (/.f64 x -2)) (.f64 0 (-.f64 (*.f64 -1/2 x) (sqrt.f64 2))))
(+.f64 (.f64 (.f64 -1/2 x) 0) (.f64 (sqrt.f64 2) (.f64 -1/2 x)))
(+.f64 (.f64 x (/.f64 (sqrt.f64 2) -2)) (.f64 (*.f64 -1/2 x) 0))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x -1/2)) (*.f64 (sqrt.f64 2) (-.f64 x x)))
(*.f64 (sqrt.f64 2) (/.f64 x -2))
(.f64 (sqrt.f64 2) (.f64 -1/2 x))
(*.f64 x (/.f64 (sqrt.f64 2) -2))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x -1/2)) (+.f64 (.f64 (sqrt.f64 2) 0) (.f64 0 (-.f64 (*.f64 x -1/2) (sqrt.f64 2)))))
(+.f64 (.f64 (sqrt.f64 2) (/.f64 x -2)) (.f64 0 (-.f64 (*.f64 -1/2 x) (sqrt.f64 2))))
(+.f64 (.f64 (.f64 -1/2 x) 0) (.f64 (sqrt.f64 2) (.f64 -1/2 x)))
(+.f64 (.f64 x (/.f64 (sqrt.f64 2) -2)) (.f64 (*.f64 -1/2 x) 0))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x -1/2)) (+.f64 (-.f64 x x) (.f64 0 (-.f64 (.f64 x -1/2) (sqrt.f64 2)))))
(+.f64 (.f64 (sqrt.f64 2) (/.f64 x -2)) (+.f64 (-.f64 x x) (.f64 0 (-.f64 (*.f64 -1/2 x) (sqrt.f64 2)))))
(+.f64 (-.f64 x x) (+.f64 (.f64 (.f64 -1/2 x) 0) (.f64 (sqrt.f64 2) (.f64 -1/2 x))))
(+.f64 (-.f64 x x) (+.f64 (.f64 x (/.f64 (sqrt.f64 2) -2)) (.f64 (*.f64 -1/2 x) 0)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x -1/2)) (-.f64 (.f64 0 (-.f64 (.f64 x -1/2) (sqrt.f64 2))) (*.f64 (sqrt.f64 2) 0)))
(+.f64 (.f64 (sqrt.f64 2) (/.f64 x -2)) (.f64 0 (-.f64 (*.f64 -1/2 x) (sqrt.f64 2))))
(+.f64 (.f64 (.f64 -1/2 x) 0) (.f64 (sqrt.f64 2) (.f64 -1/2 x)))
(+.f64 (.f64 x (/.f64 (sqrt.f64 2) -2)) (.f64 (*.f64 -1/2 x) 0))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x -1/2)) (-.f64 (.f64 0 (-.f64 (.f64 x -1/2) (sqrt.f64 2))) (-.f64 x x)))
(+.f64 (.f64 (sqrt.f64 2) (/.f64 x -2)) (+.f64 (-.f64 x x) (.f64 0 (-.f64 (*.f64 -1/2 x) (sqrt.f64 2)))))
(+.f64 (-.f64 x x) (+.f64 (.f64 (.f64 -1/2 x) 0) (.f64 (sqrt.f64 2) (.f64 -1/2 x))))
(+.f64 (-.f64 x x) (+.f64 (.f64 x (/.f64 (sqrt.f64 2) -2)) (.f64 (*.f64 -1/2 x) 0)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x -1/2)) (-.f64 (.f64 0 (-.f64 (.f64 x -1/2) (sqrt.f64 2))) (*.f64 (sqrt.f64 2) (-.f64 x x))))
(+.f64 (.f64 (sqrt.f64 2) (/.f64 x -2)) (.f64 0 (-.f64 (*.f64 -1/2 x) (sqrt.f64 2))))
(+.f64 (.f64 (.f64 -1/2 x) 0) (.f64 (sqrt.f64 2) (.f64 -1/2 x)))
(+.f64 (.f64 x (/.f64 (sqrt.f64 2) -2)) (.f64 (*.f64 -1/2 x) 0))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x -1/2)) (/.f64 -1 (/.f64 (/.f64 1 (sqrt.f64 2)) 0)))
(*.f64 (sqrt.f64 2) (/.f64 x -2))
(.f64 (sqrt.f64 2) (.f64 -1/2 x))
(*.f64 x (/.f64 (sqrt.f64 2) -2))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x -1/2)) (/.f64 -1 (/.f64 1 (*.f64 (sqrt.f64 2) 0))))
(*.f64 (sqrt.f64 2) (/.f64 x -2))
(.f64 (sqrt.f64 2) (.f64 -1/2 x))
(*.f64 x (/.f64 (sqrt.f64 2) -2))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x -1/2)) (/.f64 -1 (/.f64 (/.f64 -2 x) 0)))
(*.f64 (sqrt.f64 2) (/.f64 x -2))
(.f64 (sqrt.f64 2) (.f64 -1/2 x))
(*.f64 x (/.f64 (sqrt.f64 2) -2))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x -1/2)) (/.f64 -1 (/.f64 1 (-.f64 x x))))
(+.f64 x (-.f64 (*.f64 (sqrt.f64 2) (/.f64 x -2)) x))
(+.f64 x (-.f64 (.f64 (sqrt.f64 2) (.f64 -1/2 x)) x))
(+.f64 x (-.f64 (*.f64 x (/.f64 (sqrt.f64 2) -2)) x))
(+.f64 0 (.f64 (sqrt.f64 2) (.f64 x -1/2)))
(*.f64 (sqrt.f64 2) (/.f64 x -2))
(.f64 (sqrt.f64 2) (.f64 -1/2 x))
(*.f64 x (/.f64 (sqrt.f64 2) -2))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 1/2)) (*.f64 (sqrt.f64 2) (neg.f64 x)))
(*.f64 (sqrt.f64 2) (/.f64 x -2))
(.f64 (sqrt.f64 2) (.f64 -1/2 x))
(*.f64 x (/.f64 (sqrt.f64 2) -2))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 1/2)) (/.f64 -1 (/.f64 (/.f64 1 (sqrt.f64 2)) x)))
(*.f64 (sqrt.f64 2) (/.f64 x -2))
(.f64 (sqrt.f64 2) (.f64 -1/2 x))
(*.f64 x (/.f64 (sqrt.f64 2) -2))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 1/2)) (/.f64 -1 (/.f64 1 (*.f64 (sqrt.f64 2) x))))
(*.f64 (sqrt.f64 2) (/.f64 x -2))
(.f64 (sqrt.f64 2) (.f64 -1/2 x))
(*.f64 x (/.f64 (sqrt.f64 2) -2))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 1/2)) (/.f64 -1 (/.f64 -1 (*.f64 (sqrt.f64 2) (neg.f64 x)))))
(*.f64 (sqrt.f64 2) (/.f64 x -2))
(.f64 (sqrt.f64 2) (.f64 -1/2 x))
(*.f64 x (/.f64 (sqrt.f64 2) -2))
(+.f64 (.f64 (sqrt.f64 2) 0) (.f64 (sqrt.f64 2) (*.f64 x -1/2)))
(*.f64 (sqrt.f64 2) (/.f64 x -2))
(.f64 (sqrt.f64 2) (.f64 -1/2 x))
(*.f64 x (/.f64 (sqrt.f64 2) -2))
(+.f64 (*.f64 (sqrt.f64 2) 0) (/.f64 -1 (/.f64 (/.f64 2 x) (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) (/.f64 x -2))
(.f64 (sqrt.f64 2) (.f64 -1/2 x))
(*.f64 x (/.f64 (sqrt.f64 2) -2))
(+.f64 (.f64 (sqrt.f64 2) 0) (/.f64 -1 (/.f64 (/.f64 -1 (sqrt.f64 2)) (.f64 x -1/2))))
(*.f64 (sqrt.f64 2) (/.f64 x -2))
(.f64 (sqrt.f64 2) (.f64 -1/2 x))
(*.f64 x (/.f64 (sqrt.f64 2) -2))
(+.f64 (*.f64 (sqrt.f64 2) 0) (/.f64 -1 (neg.f64 (/.f64 (/.f64 -2 x) (sqrt.f64 2)))))
(*.f64 (sqrt.f64 2) (/.f64 x -2))
(.f64 (sqrt.f64 2) (.f64 -1/2 x))
(*.f64 x (/.f64 (sqrt.f64 2) -2))
(+.f64 (-.f64 x x) (.f64 (sqrt.f64 2) (.f64 x -1/2)))
(+.f64 x (-.f64 (*.f64 (sqrt.f64 2) (/.f64 x -2)) x))
(+.f64 x (-.f64 (.f64 (sqrt.f64 2) (.f64 -1/2 x)) x))
(+.f64 x (-.f64 (*.f64 x (/.f64 (sqrt.f64 2) -2)) x))
(+.f64 (-.f64 x x) (/.f64 -1 (/.f64 (/.f64 2 x) (sqrt.f64 2))))
(+.f64 x (-.f64 (*.f64 (sqrt.f64 2) (/.f64 x -2)) x))
(+.f64 x (-.f64 (.f64 (sqrt.f64 2) (.f64 -1/2 x)) x))
(+.f64 x (-.f64 (*.f64 x (/.f64 (sqrt.f64 2) -2)) x))
(+.f64 (-.f64 x x) (/.f64 -1 (/.f64 (/.f64 -1 (sqrt.f64 2)) (*.f64 x -1/2))))
(+.f64 x (-.f64 (*.f64 (sqrt.f64 2) (/.f64 x -2)) x))
(+.f64 x (-.f64 (.f64 (sqrt.f64 2) (.f64 -1/2 x)) x))
(+.f64 x (-.f64 (*.f64 x (/.f64 (sqrt.f64 2) -2)) x))
(+.f64 (-.f64 x x) (/.f64 -1 (neg.f64 (/.f64 (/.f64 -2 x) (sqrt.f64 2)))))
(+.f64 x (-.f64 (*.f64 (sqrt.f64 2) (/.f64 x -2)) x))
(+.f64 x (-.f64 (.f64 (sqrt.f64 2) (.f64 -1/2 x)) x))
(+.f64 x (-.f64 (*.f64 x (/.f64 (sqrt.f64 2) -2)) x))
(+.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 (sqrt.f64 2) (*.f64 x 1/2)))
(*.f64 (sqrt.f64 2) (/.f64 x -2))
(.f64 (sqrt.f64 2) (.f64 -1/2 x))
(*.f64 x (/.f64 (sqrt.f64 2) -2))
(+.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (/.f64 -1 (.f64 (/.f64 1 x) (/.f64 -2 (sqrt.f64 2)))))
(*.f64 (sqrt.f64 2) (/.f64 x -2))
(.f64 (sqrt.f64 2) (.f64 -1/2 x))
(*.f64 x (/.f64 (sqrt.f64 2) -2))
(+.f64 (.f64 0 (-.f64 (.f64 x -1/2) (sqrt.f64 2))) (.f64 (sqrt.f64 2) (.f64 x -1/2)))
(+.f64 (.f64 (sqrt.f64 2) (/.f64 x -2)) (.f64 0 (-.f64 (*.f64 -1/2 x) (sqrt.f64 2))))
(+.f64 (.f64 (.f64 -1/2 x) 0) (.f64 (sqrt.f64 2) (.f64 -1/2 x)))
(+.f64 (.f64 x (/.f64 (sqrt.f64 2) -2)) (.f64 (*.f64 -1/2 x) 0))
(+.f64 (.f64 (sqrt.f64 2) (-.f64 x x)) (.f64 (sqrt.f64 2) (*.f64 x -1/2)))
(*.f64 (sqrt.f64 2) (/.f64 x -2))
(.f64 (sqrt.f64 2) (.f64 -1/2 x))
(*.f64 x (/.f64 (sqrt.f64 2) -2))
(+.f64 (.f64 2 (.f64 (sqrt.f64 2) (neg.f64 x))) (neg.f64 (.f64 (sqrt.f64 2) (.f64 x -3/2))))
(*.f64 (sqrt.f64 2) (/.f64 x -2))
(.f64 (sqrt.f64 2) (.f64 -1/2 x))
(*.f64 x (/.f64 (sqrt.f64 2) -2))
(+.f64 (.f64 2 (.f64 (sqrt.f64 2) (neg.f64 x))) (-.f64 (.f64 (sqrt.f64 2) 0) (.f64 (sqrt.f64 2) (*.f64 x -3/2))))
(*.f64 (sqrt.f64 2) (/.f64 x -2))
(.f64 (sqrt.f64 2) (.f64 -1/2 x))
(*.f64 x (/.f64 (sqrt.f64 2) -2))
(+.f64 (.f64 2 (.f64 (sqrt.f64 2) (neg.f64 x))) (-.f64 (-.f64 x x) (.f64 (sqrt.f64 2) (.f64 x -3/2))))
(+.f64 x (-.f64 (*.f64 (sqrt.f64 2) (/.f64 x -2)) x))
(+.f64 x (-.f64 (.f64 (sqrt.f64 2) (.f64 -1/2 x)) x))
(+.f64 x (-.f64 (*.f64 x (/.f64 (sqrt.f64 2) -2)) x))
(+.f64 (+.f64 (.f64 (sqrt.f64 2) 0) (.f64 0 (-.f64 (.f64 x -1/2) (sqrt.f64 2)))) (.f64 (sqrt.f64 2) (*.f64 x -1/2)))
(+.f64 (.f64 (sqrt.f64 2) (/.f64 x -2)) (.f64 0 (-.f64 (*.f64 -1/2 x) (sqrt.f64 2))))
(+.f64 (.f64 (.f64 -1/2 x) 0) (.f64 (sqrt.f64 2) (.f64 -1/2 x)))
(+.f64 (.f64 x (/.f64 (sqrt.f64 2) -2)) (.f64 (*.f64 -1/2 x) 0))
(+.f64 (+.f64 (-.f64 x x) (.f64 0 (-.f64 (.f64 x -1/2) (sqrt.f64 2)))) (.f64 (sqrt.f64 2) (.f64 x -1/2)))
(+.f64 (.f64 (sqrt.f64 2) (/.f64 x -2)) (+.f64 (-.f64 x x) (.f64 0 (-.f64 (*.f64 -1/2 x) (sqrt.f64 2)))))
(+.f64 (-.f64 x x) (+.f64 (.f64 (.f64 -1/2 x) 0) (.f64 (sqrt.f64 2) (.f64 -1/2 x))))
(+.f64 (-.f64 x x) (+.f64 (.f64 x (/.f64 (sqrt.f64 2) -2)) (.f64 (*.f64 -1/2 x) 0)))
(+.f64 (neg.f64 (.f64 (sqrt.f64 2) (.f64 x -3/2))) (.f64 2 (.f64 (sqrt.f64 2) (neg.f64 x))))
(*.f64 (sqrt.f64 2) (/.f64 x -2))
(.f64 (sqrt.f64 2) (.f64 -1/2 x))
(*.f64 x (/.f64 (sqrt.f64 2) -2))
(+.f64 (-.f64 (.f64 (sqrt.f64 2) 0) (.f64 (sqrt.f64 2) (.f64 x -3/2))) (.f64 2 (*.f64 (sqrt.f64 2) (neg.f64 x))))
(*.f64 (sqrt.f64 2) (/.f64 x -2))
(.f64 (sqrt.f64 2) (.f64 -1/2 x))
(*.f64 x (/.f64 (sqrt.f64 2) -2))
(+.f64 (-.f64 (-.f64 x x) (.f64 (sqrt.f64 2) (.f64 x -3/2))) (.f64 2 (.f64 (sqrt.f64 2) (neg.f64 x))))
(+.f64 x (-.f64 (*.f64 (sqrt.f64 2) (/.f64 x -2)) x))
(+.f64 x (-.f64 (.f64 (sqrt.f64 2) (.f64 -1/2 x)) x))
(+.f64 x (-.f64 (*.f64 x (/.f64 (sqrt.f64 2) -2)) x))
(+.f64 (-.f64 (.f64 0 (-.f64 (.f64 x -1/2) (sqrt.f64 2))) (.f64 (sqrt.f64 2) 0)) (.f64 (sqrt.f64 2) (*.f64 x -1/2)))
(+.f64 (.f64 (sqrt.f64 2) (/.f64 x -2)) (.f64 0 (-.f64 (*.f64 -1/2 x) (sqrt.f64 2))))
(+.f64 (.f64 (.f64 -1/2 x) 0) (.f64 (sqrt.f64 2) (.f64 -1/2 x)))
(+.f64 (.f64 x (/.f64 (sqrt.f64 2) -2)) (.f64 (*.f64 -1/2 x) 0))
(+.f64 (-.f64 (.f64 0 (-.f64 (.f64 x -1/2) (sqrt.f64 2))) (-.f64 x x)) (.f64 (sqrt.f64 2) (.f64 x -1/2)))
(+.f64 (.f64 (sqrt.f64 2) (/.f64 x -2)) (+.f64 (-.f64 x x) (.f64 0 (-.f64 (*.f64 -1/2 x) (sqrt.f64 2)))))
(+.f64 (-.f64 x x) (+.f64 (.f64 (.f64 -1/2 x) 0) (.f64 (sqrt.f64 2) (.f64 -1/2 x))))
(+.f64 (-.f64 x x) (+.f64 (.f64 x (/.f64 (sqrt.f64 2) -2)) (.f64 (*.f64 -1/2 x) 0)))
(+.f64 (-.f64 (.f64 0 (-.f64 (.f64 x -1/2) (sqrt.f64 2))) (.f64 (sqrt.f64 2) (-.f64 x x))) (.f64 (sqrt.f64 2) (*.f64 x -1/2)))
(+.f64 (.f64 (sqrt.f64 2) (/.f64 x -2)) (.f64 0 (-.f64 (*.f64 -1/2 x) (sqrt.f64 2))))
(+.f64 (.f64 (.f64 -1/2 x) 0) (.f64 (sqrt.f64 2) (.f64 -1/2 x)))
(+.f64 (.f64 x (/.f64 (sqrt.f64 2) -2)) (.f64 (*.f64 -1/2 x) 0))
(+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 x -1/2)) 1/2) (.f64 (.f64 (sqrt.f64 2) (.f64 x -1/2)) 1/2))
(*.f64 (sqrt.f64 2) (/.f64 x -2))
(.f64 (sqrt.f64 2) (.f64 -1/2 x))
(*.f64 x (/.f64 (sqrt.f64 2) -2))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x -1/2)) 0)
(*.f64 (sqrt.f64 2) (/.f64 x -2))
(.f64 (sqrt.f64 2) (.f64 -1/2 x))
(*.f64 x (/.f64 (sqrt.f64 2) -2))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x -1/2)) (*.f64 (sqrt.f64 2) 0))
(*.f64 (sqrt.f64 2) (/.f64 x -2))
(.f64 (sqrt.f64 2) (.f64 -1/2 x))
(*.f64 x (/.f64 (sqrt.f64 2) -2))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x -1/2)) (-.f64 x x))
(+.f64 x (-.f64 (*.f64 (sqrt.f64 2) (/.f64 x -2)) x))
(+.f64 x (-.f64 (.f64 (sqrt.f64 2) (.f64 -1/2 x)) x))
(+.f64 x (-.f64 (*.f64 x (/.f64 (sqrt.f64 2) -2)) x))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x -1/2)) (.f64 0 (-.f64 (.f64 x -1/2) (sqrt.f64 2))))
(-.f64 (.f64 (sqrt.f64 2) (/.f64 x -2)) (.f64 0 (-.f64 (*.f64 -1/2 x) (sqrt.f64 2))))
(-.f64 (.f64 (sqrt.f64 2) (.f64 -1/2 x)) (.f64 0 (-.f64 (.f64 -1/2 x) (sqrt.f64 2))))
(-.f64 (.f64 x (/.f64 (sqrt.f64 2) -2)) (.f64 0 (-.f64 (*.f64 -1/2 x) (sqrt.f64 2))))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x -1/2)) (*.f64 (sqrt.f64 2) (-.f64 x x)))
(*.f64 (sqrt.f64 2) (/.f64 x -2))
(.f64 (sqrt.f64 2) (.f64 -1/2 x))
(*.f64 x (/.f64 (sqrt.f64 2) -2))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x -1/2)) (+.f64 (.f64 (sqrt.f64 2) 0) (.f64 0 (-.f64 (*.f64 x -1/2) (sqrt.f64 2)))))
(-.f64 (.f64 (sqrt.f64 2) (/.f64 x -2)) (.f64 0 (-.f64 (*.f64 -1/2 x) (sqrt.f64 2))))
(-.f64 (.f64 (sqrt.f64 2) (.f64 -1/2 x)) (.f64 0 (-.f64 (.f64 -1/2 x) (sqrt.f64 2))))
(-.f64 (.f64 x (/.f64 (sqrt.f64 2) -2)) (.f64 0 (-.f64 (*.f64 -1/2 x) (sqrt.f64 2))))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x -1/2)) (+.f64 (-.f64 x x) (.f64 0 (-.f64 (.f64 x -1/2) (sqrt.f64 2)))))
(-.f64 (.f64 (sqrt.f64 2) (/.f64 x -2)) (+.f64 (-.f64 x x) (.f64 0 (-.f64 (*.f64 -1/2 x) (sqrt.f64 2)))))
(-.f64 (.f64 (sqrt.f64 2) (.f64 -1/2 x)) (+.f64 x (-.f64 (.f64 0 (-.f64 (.f64 -1/2 x) (sqrt.f64 2))) x)))
(-.f64 (.f64 x (/.f64 (sqrt.f64 2) -2)) (-.f64 x (-.f64 x (.f64 0 (-.f64 (*.f64 -1/2 x) (sqrt.f64 2))))))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x -1/2)) (-.f64 (.f64 0 (-.f64 (.f64 x -1/2) (sqrt.f64 2))) (*.f64 (sqrt.f64 2) 0)))
(-.f64 (.f64 (sqrt.f64 2) (/.f64 x -2)) (.f64 0 (-.f64 (*.f64 -1/2 x) (sqrt.f64 2))))
(-.f64 (.f64 (sqrt.f64 2) (.f64 -1/2 x)) (.f64 0 (-.f64 (.f64 -1/2 x) (sqrt.f64 2))))
(-.f64 (.f64 x (/.f64 (sqrt.f64 2) -2)) (.f64 0 (-.f64 (*.f64 -1/2 x) (sqrt.f64 2))))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x -1/2)) (-.f64 (.f64 0 (-.f64 (.f64 x -1/2) (sqrt.f64 2))) (-.f64 x x)))
(-.f64 (.f64 (sqrt.f64 2) (/.f64 x -2)) (+.f64 (-.f64 x x) (.f64 0 (-.f64 (*.f64 -1/2 x) (sqrt.f64 2)))))
(-.f64 (.f64 (sqrt.f64 2) (.f64 -1/2 x)) (+.f64 x (-.f64 (.f64 0 (-.f64 (.f64 -1/2 x) (sqrt.f64 2))) x)))
(-.f64 (.f64 x (/.f64 (sqrt.f64 2) -2)) (-.f64 x (-.f64 x (.f64 0 (-.f64 (*.f64 -1/2 x) (sqrt.f64 2))))))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x -1/2)) (-.f64 (.f64 0 (-.f64 (.f64 x -1/2) (sqrt.f64 2))) (*.f64 (sqrt.f64 2) (-.f64 x x))))
(-.f64 (.f64 (sqrt.f64 2) (/.f64 x -2)) (.f64 0 (-.f64 (*.f64 -1/2 x) (sqrt.f64 2))))
(-.f64 (.f64 (sqrt.f64 2) (.f64 -1/2 x)) (.f64 0 (-.f64 (.f64 -1/2 x) (sqrt.f64 2))))
(-.f64 (.f64 x (/.f64 (sqrt.f64 2) -2)) (.f64 0 (-.f64 (*.f64 -1/2 x) (sqrt.f64 2))))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x -1/2)) (+.f64 (.f64 (sqrt.f64 2) (-.f64 x x)) (.f64 (sqrt.f64 2) (-.f64 x x))))
(*.f64 (sqrt.f64 2) (/.f64 x -2))
(.f64 (sqrt.f64 2) (.f64 -1/2 x))
(*.f64 x (/.f64 (sqrt.f64 2) -2))
(-.f64 0 (.f64 (sqrt.f64 2) (.f64 x 1/2)))
(*.f64 (sqrt.f64 2) (/.f64 x -2))
(.f64 (sqrt.f64 2) (.f64 -1/2 x))
(*.f64 x (/.f64 (sqrt.f64 2) -2))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x 1/2)) (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (/.f64 x -2))
(.f64 (sqrt.f64 2) (.f64 -1/2 x))
(*.f64 x (/.f64 (sqrt.f64 2) -2))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x 1/2)) (/.f64 (*.f64 2 (sqrt.f64 2)) (/.f64 2 x)))
(*.f64 (sqrt.f64 2) (/.f64 x -2))
(.f64 (sqrt.f64 2) (.f64 -1/2 x))
(*.f64 x (/.f64 (sqrt.f64 2) -2))
(-.f64 (.f64 (sqrt.f64 2) 0) (.f64 (sqrt.f64 2) (*.f64 x 1/2)))
(*.f64 (sqrt.f64 2) (/.f64 x -2))
(.f64 (sqrt.f64 2) (.f64 -1/2 x))
(*.f64 x (/.f64 (sqrt.f64 2) -2))
(-.f64 (-.f64 x x) (.f64 (sqrt.f64 2) (.f64 x 1/2)))
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 (sqrt.f64 2) (*.f64 x -1/2)))
(*.f64 (sqrt.f64 2) (/.f64 x -2))
(.f64 (sqrt.f64 2) (.f64 -1/2 x))
(*.f64 x (/.f64 (sqrt.f64 2) -2))
(-.f64 (.f64 0 (-.f64 (.f64 x -1/2) (sqrt.f64 2))) (.f64 (sqrt.f64 2) (.f64 x 1/2)))
(-.f64 (.f64 0 (-.f64 (.f64 -1/2 x) (sqrt.f64 2))) (.f64 (sqrt.f64 2) (.f64 x 1/2)))
(-.f64 (.f64 (sqrt.f64 2) (-.f64 x x)) (.f64 (sqrt.f64 2) (*.f64 x 1/2)))
(*.f64 (sqrt.f64 2) (/.f64 x -2))
(.f64 (sqrt.f64 2) (.f64 -1/2 x))
(*.f64 x (/.f64 (sqrt.f64 2) -2))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x -3/2)) (*.f64 (sqrt.f64 2) (neg.f64 x)))
(*.f64 (sqrt.f64 2) (/.f64 x -2))
(.f64 (sqrt.f64 2) (.f64 -1/2 x))
(*.f64 x (/.f64 (sqrt.f64 2) -2))
(-.f64 (.f64 2 (.f64 (sqrt.f64 2) (neg.f64 x))) (.f64 (sqrt.f64 2) (.f64 x -3/2)))
(*.f64 (sqrt.f64 2) (/.f64 x -2))
(.f64 (sqrt.f64 2) (.f64 -1/2 x))
(*.f64 x (/.f64 (sqrt.f64 2) -2))
(-.f64 (-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 (sqrt.f64 2) x)) (.f64 (sqrt.f64 2) (.f64 x -3/2)))
(*.f64 (sqrt.f64 2) (/.f64 x -2))
(.f64 (sqrt.f64 2) (.f64 -1/2 x))
(*.f64 x (/.f64 (sqrt.f64 2) -2))
(-.f64 (+.f64 (.f64 (sqrt.f64 2) 0) (.f64 2 (.f64 (sqrt.f64 2) (neg.f64 x)))) (.f64 (sqrt.f64 2) (*.f64 x -3/2)))
(*.f64 (sqrt.f64 2) (/.f64 x -2))
(.f64 (sqrt.f64 2) (.f64 -1/2 x))
(*.f64 x (/.f64 (sqrt.f64 2) -2))
(-.f64 (+.f64 (-.f64 x x) (.f64 2 (.f64 (sqrt.f64 2) (neg.f64 x)))) (.f64 (sqrt.f64 2) (.f64 x -3/2)))
(+.f64 x (-.f64 (*.f64 (sqrt.f64 2) (/.f64 x -2)) x))
(+.f64 x (-.f64 (.f64 (sqrt.f64 2) (.f64 -1/2 x)) x))
(+.f64 x (-.f64 (*.f64 x (/.f64 (sqrt.f64 2) -2)) x))
(-.f64 (/.f64 (+.f64 x (.f64 x 3)) (/.f64 -2 (sqrt.f64 2))) (/.f64 (.f64 x 3) (/.f64 -2 (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) (/.f64 x -2))
(.f64 (sqrt.f64 2) (.f64 -1/2 x))
(*.f64 x (/.f64 (sqrt.f64 2) -2))
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 (+.f64 x x))) (.f64 (sqrt.f64 2) (*.f64 x -3/2)))
(*.f64 (sqrt.f64 2) (/.f64 x -2))
(.f64 (sqrt.f64 2) (.f64 -1/2 x))
(*.f64 x (/.f64 (sqrt.f64 2) -2))
(-.f64 (.f64 (.f64 x -1/2) (.f64 2 (.f64 2 (sqrt.f64 2)))) (.f64 (sqrt.f64 2) (.f64 x -3/2)))
(*.f64 (sqrt.f64 2) (/.f64 x -2))
(.f64 (sqrt.f64 2) (.f64 -1/2 x))
(*.f64 x (/.f64 (sqrt.f64 2) -2))
(-.f64 (.f64 (.f64 (sqrt.f64 2) -1/2) (+.f64 x (.f64 x 3))) (.f64 (sqrt.f64 2) (*.f64 x -3/2)))
(*.f64 (sqrt.f64 2) (/.f64 x -2))
(.f64 (sqrt.f64 2) (.f64 -1/2 x))
(*.f64 x (/.f64 (sqrt.f64 2) -2))
(-.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 x -3/2))) (.f64 (.f64 (sqrt.f64 2) (.f64 x -1/2)) 1/2))
(*.f64 (sqrt.f64 2) (/.f64 x -2))
(.f64 (sqrt.f64 2) (.f64 -1/2 x))
(*.f64 x (/.f64 (sqrt.f64 2) -2))
(-.f64 (+.f64 (.f64 2 (.f64 (sqrt.f64 2) (neg.f64 x))) (.f64 2 (.f64 (sqrt.f64 2) (neg.f64 x)))) (+.f64 (.f64 (sqrt.f64 2) (.f64 x -3/2)) (.f64 2 (.f64 (sqrt.f64 2) (neg.f64 x)))))
(*.f64 (sqrt.f64 2) (/.f64 x -2))
(.f64 (sqrt.f64 2) (.f64 -1/2 x))
(*.f64 x (/.f64 (sqrt.f64 2) -2))
(/.f64 (sqrt.f64 2) (/.f64 -2 x))
(*.f64 (sqrt.f64 2) (/.f64 x -2))
(.f64 (sqrt.f64 2) (.f64 -1/2 x))
(*.f64 x (/.f64 (sqrt.f64 2) -2))
(/.f64 x (/.f64 -2 (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) (/.f64 x -2))
(.f64 (sqrt.f64 2) (.f64 -1/2 x))
(*.f64 x (/.f64 (sqrt.f64 2) -2))
(/.f64 x (*.f64 (/.f64 1 (sqrt.f64 2)) -2))
(*.f64 (sqrt.f64 2) (/.f64 x -2))
(.f64 (sqrt.f64 2) (.f64 -1/2 x))
(*.f64 x (/.f64 (sqrt.f64 2) -2))
(/.f64 -1/2 (/.f64 (/.f64 1 x) (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) (/.f64 x -2))
(.f64 (sqrt.f64 2) (.f64 -1/2 x))
(*.f64 x (/.f64 (sqrt.f64 2) -2))
(/.f64 -1/2 (/.f64 (/.f64 1 (sqrt.f64 2)) x))
(*.f64 (sqrt.f64 2) (/.f64 x -2))
(.f64 (sqrt.f64 2) (.f64 -1/2 x))
(*.f64 x (/.f64 (sqrt.f64 2) -2))
(/.f64 -1/2 (/.f64 1 (*.f64 (sqrt.f64 2) x)))
(*.f64 (sqrt.f64 2) (/.f64 x -2))
(.f64 (sqrt.f64 2) (.f64 -1/2 x))
(*.f64 x (/.f64 (sqrt.f64 2) -2))
(/.f64 -1/2 (/.f64 -1 (*.f64 (sqrt.f64 2) (neg.f64 x))))
(*.f64 (sqrt.f64 2) (/.f64 x -2))
(.f64 (sqrt.f64 2) (.f64 -1/2 x))
(*.f64 x (/.f64 (sqrt.f64 2) -2))
(/.f64 (*.f64 x -1/2) (/.f64 1 (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) (/.f64 x -2))
(.f64 (sqrt.f64 2) (.f64 -1/2 x))
(*.f64 x (/.f64 (sqrt.f64 2) -2))
(/.f64 (.f64 (sqrt.f64 2) (.f64 x -1/2)) 1)
(*.f64 (sqrt.f64 2) (/.f64 x -2))
(.f64 (sqrt.f64 2) (.f64 -1/2 x))
(*.f64 x (/.f64 (sqrt.f64 2) -2))
(/.f64 1 (/.f64 (/.f64 -2 x) (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) (/.f64 x -2))
(.f64 (sqrt.f64 2) (.f64 -1/2 x))
(*.f64 x (/.f64 (sqrt.f64 2) -2))
(/.f64 1 (*.f64 (/.f64 1 x) (/.f64 -2 (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) (/.f64 x -2))
(.f64 (sqrt.f64 2) (.f64 -1/2 x))
(*.f64 x (/.f64 (sqrt.f64 2) -2))
(/.f64 (*.f64 (sqrt.f64 2) -1/2) (/.f64 1 x))
(*.f64 (sqrt.f64 2) (/.f64 x -2))
(.f64 (sqrt.f64 2) (.f64 -1/2 x))
(*.f64 x (/.f64 (sqrt.f64 2) -2))
(/.f64 -1 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 x 1/2))))
(*.f64 (sqrt.f64 2) (/.f64 x -2))
(.f64 (sqrt.f64 2) (.f64 -1/2 x))
(*.f64 x (/.f64 (sqrt.f64 2) -2))
(/.f64 (.f64 (sqrt.f64 2) (.f64 x 1/2)) -1)
(*.f64 (sqrt.f64 2) (/.f64 x -2))
(.f64 (sqrt.f64 2) (.f64 -1/2 x))
(*.f64 x (/.f64 (sqrt.f64 2) -2))
(/.f64 (*.f64 x 1/2) (/.f64 -1 (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) (/.f64 x -2))
(.f64 (sqrt.f64 2) (.f64 -1/2 x))
(*.f64 x (/.f64 (sqrt.f64 2) -2))
(/.f64 (neg.f64 (sqrt.f64 2)) (/.f64 2 x))
(*.f64 (sqrt.f64 2) (/.f64 x -2))
(.f64 (sqrt.f64 2) (.f64 -1/2 x))
(*.f64 x (/.f64 (sqrt.f64 2) -2))
(/.f64 (*.f64 (sqrt.f64 2) x) -2)
(*.f64 (sqrt.f64 2) (/.f64 x -2))
(.f64 (sqrt.f64 2) (.f64 -1/2 x))
(*.f64 x (/.f64 (sqrt.f64 2) -2))
(/.f64 1/2 (/.f64 (/.f64 -1 x) (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) (/.f64 x -2))
(.f64 (sqrt.f64 2) (.f64 -1/2 x))
(*.f64 x (/.f64 (sqrt.f64 2) -2))
(/.f64 1/2 (/.f64 (/.f64 1/2 (sqrt.f64 2)) (*.f64 x -1/2)))
(*.f64 (sqrt.f64 2) (/.f64 x -2))
(.f64 (sqrt.f64 2) (.f64 -1/2 x))
(*.f64 x (/.f64 (sqrt.f64 2) -2))
(/.f64 1/2 (/.f64 (/.f64 1/2 x) (*.f64 (sqrt.f64 2) -1/2)))
(*.f64 (sqrt.f64 2) (/.f64 x -2))
(.f64 (sqrt.f64 2) (.f64 -1/2 x))
(*.f64 x (/.f64 (sqrt.f64 2) -2))
(/.f64 1/2 (/.f64 (/.f64 -1 (sqrt.f64 2)) x))
(*.f64 (sqrt.f64 2) (/.f64 x -2))
(.f64 (sqrt.f64 2) (.f64 -1/2 x))
(*.f64 x (/.f64 (sqrt.f64 2) -2))
(/.f64 1/2 (/.f64 (/.f64 -2 x) (*.f64 2 (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) (/.f64 x -2))
(.f64 (sqrt.f64 2) (.f64 -1/2 x))
(*.f64 x (/.f64 (sqrt.f64 2) -2))
(/.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (neg.f64 x))))
(*.f64 (sqrt.f64 2) (/.f64 x -2))
(.f64 (sqrt.f64 2) (.f64 -1/2 x))
(*.f64 x (/.f64 (sqrt.f64 2) -2))
(/.f64 1/2 (/.f64 -1 (-.f64 (.f64 (sqrt.f64 2) (-.f64 x x)) (.f64 (sqrt.f64 2) (neg.f64 x)))))
(*.f64 (sqrt.f64 2) (/.f64 x -2))
(.f64 (sqrt.f64 2) (.f64 -1/2 x))
(*.f64 x (/.f64 (sqrt.f64 2) -2))
(/.f64 (neg.f64 x) (/.f64 (/.f64 1 (sqrt.f64 2)) 1/2))
(*.f64 (sqrt.f64 2) (/.f64 x -2))
(.f64 (sqrt.f64 2) (.f64 -1/2 x))
(*.f64 x (/.f64 (sqrt.f64 2) -2))
(/.f64 (neg.f64 x) (/.f64 2 (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) (/.f64 x -2))
(.f64 (sqrt.f64 2) (.f64 -1/2 x))
(*.f64 x (/.f64 (sqrt.f64 2) -2))
(/.f64 (neg.f64 x) (/.f64 -1 (*.f64 (sqrt.f64 2) -1/2)))
(*.f64 (sqrt.f64 2) (/.f64 x -2))
(.f64 (sqrt.f64 2) (.f64 -1/2 x))
(*.f64 x (/.f64 (sqrt.f64 2) -2))
(/.f64 (neg.f64 x) (neg.f64 (/.f64 -2 (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) (/.f64 x -2))
(.f64 (sqrt.f64 2) (.f64 -1/2 x))
(*.f64 x (/.f64 (sqrt.f64 2) -2))
(/.f64 (*.f64 2 (sqrt.f64 2)) (/.f64 (/.f64 -2 x) 1/2))
(*.f64 (sqrt.f64 2) (/.f64 x -2))
(.f64 (sqrt.f64 2) (.f64 -1/2 x))
(*.f64 x (/.f64 (sqrt.f64 2) -2))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 2) -1/2)) (/.f64 -1 x))
(*.f64 (sqrt.f64 2) (/.f64 x -2))
(.f64 (sqrt.f64 2) (.f64 -1/2 x))
(*.f64 x (/.f64 (sqrt.f64 2) -2))
(/.f64 (*.f64 (sqrt.f64 2) 1/2) (/.f64 -1 x))
(*.f64 (sqrt.f64 2) (/.f64 x -2))
(.f64 (sqrt.f64 2) (.f64 -1/2 x))
(*.f64 x (/.f64 (sqrt.f64 2) -2))
(/.f64 (*.f64 -1/2 (neg.f64 (sqrt.f64 2))) (/.f64 -1 x))
(*.f64 (sqrt.f64 2) (/.f64 x -2))
(.f64 (sqrt.f64 2) (.f64 -1/2 x))
(*.f64 x (/.f64 (sqrt.f64 2) -2))
(/.f64 (/.f64 x -4) (/.f64 1/2 (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) (/.f64 x -2))
(.f64 (sqrt.f64 2) (.f64 -1/2 x))
(*.f64 x (/.f64 (sqrt.f64 2) -2))
(/.f64 (/.f64 (*.f64 (sqrt.f64 2) -1/2) 2) (/.f64 1/2 x))
(*.f64 (sqrt.f64 2) (/.f64 x -2))
(.f64 (sqrt.f64 2) (.f64 -1/2 x))
(*.f64 x (/.f64 (sqrt.f64 2) -2))
(/.f64 (-.f64 (.f64 (sqrt.f64 2) -1/2) (+.f64 (.f64 (sqrt.f64 2) -1/2) (neg.f64 (sqrt.f64 2)))) (/.f64 -2 x))
(*.f64 (sqrt.f64 2) (/.f64 x -2))
(.f64 (sqrt.f64 2) (.f64 -1/2 x))
(*.f64 x (/.f64 (sqrt.f64 2) -2))
(/.f64 (-.f64 (neg.f64 (.f64 (sqrt.f64 2) 3)) (neg.f64 (.f64 2 (*.f64 2 (sqrt.f64 2))))) (/.f64 -2 x))
(.f64 (-.f64 (neg.f64 (.f64 (sqrt.f64 2) 3)) (neg.f64 (.f64 2 (.f64 2 (sqrt.f64 2))))) (/.f64 x -2))
(.f64 x (/.f64 (-.f64 (.f64 (sqrt.f64 2) -3) (neg.f64 (*.f64 (sqrt.f64 2) 4))) -2))
(.f64 (-.f64 (.f64 (sqrt.f64 2) 4) (neg.f64 (*.f64 (sqrt.f64 2) -3))) (/.f64 x -2))
(/.f64 (-.f64 (neg.f64 (.f64 x -3/2)) (.f64 x 1/2)) (/.f64 -2 (sqrt.f64 2)))
(.f64 (-.f64 (neg.f64 (.f64 x -3/2)) (*.f64 x 1/2)) (/.f64 (sqrt.f64 2) -2))
(.f64 (-.f64 (.f64 x 3/2) (*.f64 x 1/2)) (/.f64 (sqrt.f64 2) -2))
(/.f64 (-.f64 (.f64 x -3/2) (+.f64 (.f64 x -1/2) (neg.f64 (+.f64 x x)))) (/.f64 -2 (sqrt.f64 2)))
(.f64 (-.f64 (.f64 x -3/2) (+.f64 (*.f64 -1/2 x) (neg.f64 (+.f64 x x)))) (/.f64 (sqrt.f64 2) -2))
(/.f64 (+.f64 (.f64 -1/2 x) (-.f64 (.f64 x 3/2) (+.f64 x x))) (/.f64 2 (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (/.f64 (-.f64 (.f64 x -3/2) (-.f64 (*.f64 -1/2 x) (+.f64 x x))) -2))
(/.f64 (-.f64 (neg.f64 (.f64 x 3)) (neg.f64 (+.f64 x (.f64 x 3)))) (/.f64 -2 (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) (/.f64 x -2))
(.f64 (sqrt.f64 2) (.f64 -1/2 x))
(*.f64 x (/.f64 (sqrt.f64 2) -2))
(/.f64 (-.f64 (neg.f64 (+.f64 x x)) (+.f64 (.f64 x -3/2) (.f64 x -3/2))) (/.f64 -2 (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) (/.f64 x -2))
(.f64 (sqrt.f64 2) (.f64 -1/2 x))
(*.f64 x (/.f64 (sqrt.f64 2) -2))
(/.f64 (-.f64 (.f64 (sqrt.f64 2) 3) (-.f64 (.f64 2 (sqrt.f64 2)) (neg.f64 (*.f64 2 (sqrt.f64 2))))) (/.f64 2 x))
(*.f64 (sqrt.f64 2) (/.f64 x -2))
(.f64 (sqrt.f64 2) (.f64 -1/2 x))
(*.f64 x (/.f64 (sqrt.f64 2) -2))
(/.f64 (-.f64 (.f64 (sqrt.f64 2) 1/2) (.f64 1/2 (*.f64 (sqrt.f64 2) 3))) (/.f64 2 x))
(*.f64 (sqrt.f64 2) (/.f64 x -2))
(.f64 (sqrt.f64 2) (.f64 -1/2 x))
(*.f64 x (/.f64 (sqrt.f64 2) -2))
(/.f64 (-.f64 (+.f64 (.f64 2 (.f64 2 (sqrt.f64 2))) (.f64 (sqrt.f64 2) 3)) (+.f64 (.f64 2 (.f64 2 (sqrt.f64 2))) (.f64 2 (*.f64 2 (sqrt.f64 2))))) (/.f64 2 x))
(.f64 (+.f64 (.f64 2 (.f64 2 (sqrt.f64 2))) (-.f64 (.f64 (sqrt.f64 2) 3) (+.f64 (.f64 2 (.f64 2 (sqrt.f64 2))) (.f64 2 (.f64 2 (sqrt.f64 2)))))) (/.f64 x 2))
(/.f64 (-.f64 (.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 2) 3)) (/.f64 -2 x))
(/.f64 (-.f64 (/.f64 (.f64 x 3) -2) (/.f64 (+.f64 x (.f64 x 3)) -2)) (/.f64 -1 (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) (/.f64 x -2))
(.f64 (sqrt.f64 2) (.f64 -1/2 x))
(*.f64 x (/.f64 (sqrt.f64 2) -2))
(/.f64 (-.f64 (.f64 x -3/2) (.f64 -1/2 (+.f64 x (*.f64 x 3)))) (/.f64 -1 (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) (/.f64 x -2))
(.f64 (sqrt.f64 2) (.f64 -1/2 x))
(*.f64 x (/.f64 (sqrt.f64 2) -2))
(/.f64 (-.f64 (/.f64 x -4) (.f64 1/2 (.f64 x -3/2))) (/.f64 -1 (sqrt.f64 2)))
(.f64 (-.f64 (/.f64 x -4) (.f64 x -3/4)) (neg.f64 (sqrt.f64 2)))
(.f64 (neg.f64 (sqrt.f64 2)) (-.f64 (/.f64 x -4) (.f64 x -3/4)))
(.f64 (sqrt.f64 2) (neg.f64 (-.f64 (/.f64 x -4) (.f64 x -3/4))))
(/.f64 (-.f64 (+.f64 (*.f64 x -3/2) (neg.f64 (+.f64 x x))) (+.f64 (neg.f64 (+.f64 x x)) (neg.f64 (+.f64 x x)))) (/.f64 -1 (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) (/.f64 x -2))
(.f64 (sqrt.f64 2) (.f64 -1/2 x))
(*.f64 x (/.f64 (sqrt.f64 2) -2))
(/.f64 (-.f64 (neg.f64 (*.f64 x -3/2)) (+.f64 x x)) (/.f64 1 (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) (/.f64 x -2))
(.f64 (sqrt.f64 2) (.f64 -1/2 x))
(*.f64 x (/.f64 (sqrt.f64 2) -2))
(/.f64 (-.f64 (.f64 1/2 (.f64 x 3)) (+.f64 x x)) (/.f64 1 (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) (/.f64 x -2))
(.f64 (sqrt.f64 2) (.f64 -1/2 x))
(*.f64 x (/.f64 (sqrt.f64 2) -2))
(neg.f64 (.f64 (sqrt.f64 2) (.f64 x 1/2)))
(*.f64 (sqrt.f64 2) (/.f64 x -2))
(.f64 (sqrt.f64 2) (.f64 -1/2 x))
(*.f64 x (/.f64 (sqrt.f64 2) -2))

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(-.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) x)
	0.4b	(*.f64 (sqrt.f64 2) (neg.f64 x))
✓	0.5b	(+.f64 x (-.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) x))

Compiler

Compiled 28 to 17 computations (39.3% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite120.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

1942×	`rational.json-1`
1942×	`rational.json-2`
1892×	`rational.json-3`
1888×	`rational.json-4`
426×	`rational.json-simplify-69`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	10	48
1	65	48
2	219	44
3	1124	32
4	5839	32

Stop Event

1×	node limit

Counts

2 → 221

Calls

Call 1

Inputs
(+.f64 x (-.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) x))
(-.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) x)

Outputs

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

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

simplify124.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1374×	`rational.json-simplify-67`
780×	`rational.json-simplify-24`
572×	`rational.json-simplify-63`
532×	`rational.json-simplify-50`
478×	`rational.json-simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	453	5669
1	1515	5107
2	7231	5043

Stop Event

1×	node limit

Counts

245 → 281

Calls

Call 1

Inputs
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 (-.f64 (.f64 -1 (sqrt.f64 2)) 1) x)
(.f64 (-.f64 (.f64 -1 (sqrt.f64 2)) 1) x)
(.f64 (-.f64 (.f64 -1 (sqrt.f64 2)) 1) x)
(.f64 (-.f64 (.f64 -1 (sqrt.f64 2)) 1) x)
(.f64 (-.f64 (.f64 -1 (sqrt.f64 2)) 1) x)
(.f64 (-.f64 (.f64 -1 (sqrt.f64 2)) 1) x)
(.f64 (-.f64 (.f64 -1 (sqrt.f64 2)) 1) x)
(.f64 (-.f64 (.f64 -1 (sqrt.f64 2)) 1) x)
(.f64 -1 (.f64 (+.f64 (sqrt.f64 2) 1) x))
(.f64 -1 (.f64 (+.f64 (sqrt.f64 2) 1) x))
(.f64 -1 (.f64 (+.f64 (sqrt.f64 2) 1) x))
(.f64 -1 (.f64 (+.f64 (sqrt.f64 2) 1) x))
(-.f64 x (+.f64 x (*.f64 x (sqrt.f64 2))))
(-.f64 x (+.f64 (-.f64 x x) (+.f64 x (*.f64 x (sqrt.f64 2)))))
(-.f64 x (+.f64 (+.f64 x (.f64 x (sqrt.f64 2))) (.f64 (sqrt.f64 2) 0)))
(-.f64 x (+.f64 (+.f64 x (*.f64 x (sqrt.f64 2))) (-.f64 x x)))
(-.f64 (neg.f64 x) (*.f64 x (+.f64 -1 (sqrt.f64 2))))
(-.f64 (neg.f64 x) (.f64 -1 (+.f64 x (.f64 x (neg.f64 (sqrt.f64 2))))))
(-.f64 (neg.f64 x) (+.f64 (-.f64 x x) (*.f64 x (+.f64 -1 (sqrt.f64 2)))))
(-.f64 (neg.f64 x) (+.f64 (.f64 x (+.f64 -1 (sqrt.f64 2))) (.f64 (sqrt.f64 2) 0)))
(-.f64 (neg.f64 x) (+.f64 (*.f64 x (+.f64 -1 (sqrt.f64 2))) (-.f64 x x)))
(-.f64 (neg.f64 x) (+.f64 (.f64 x (+.f64 -1 (sqrt.f64 2))) (.f64 (sqrt.f64 2) (-.f64 x x))))
(-.f64 (*.f64 x (neg.f64 (sqrt.f64 2))) 0)
(-.f64 (*.f64 x (neg.f64 (sqrt.f64 2))) (-.f64 x x))
(-.f64 (.f64 x (neg.f64 (sqrt.f64 2))) (.f64 (sqrt.f64 2) 0))
(-.f64 (.f64 x (neg.f64 (sqrt.f64 2))) (.f64 0 (+.f64 x (sqrt.f64 2))))
(-.f64 (.f64 x (neg.f64 (sqrt.f64 2))) (.f64 (sqrt.f64 2) (-.f64 x x)))
(-.f64 (.f64 x (neg.f64 (sqrt.f64 2))) (.f64 0 (-.f64 x (sqrt.f64 2))))
(-.f64 (.f64 x (neg.f64 (sqrt.f64 2))) (.f64 0 (-.f64 (sqrt.f64 2) (neg.f64 x))))
(-.f64 (.f64 x (neg.f64 (sqrt.f64 2))) (+.f64 (.f64 (sqrt.f64 2) (-.f64 x x)) (*.f64 (sqrt.f64 2) 0)))
(-.f64 (.f64 x (neg.f64 (sqrt.f64 2))) (+.f64 (.f64 (sqrt.f64 2) (-.f64 x x)) (-.f64 x x)))
(-.f64 (.f64 x (neg.f64 (sqrt.f64 2))) (+.f64 0 (.f64 (sqrt.f64 2) (-.f64 x x))))
(-.f64 (.f64 x (neg.f64 (sqrt.f64 2))) (+.f64 (.f64 (sqrt.f64 2) 0) (*.f64 (sqrt.f64 2) (-.f64 x x))))
(-.f64 (.f64 x (neg.f64 (sqrt.f64 2))) (+.f64 (-.f64 x x) (.f64 (sqrt.f64 2) (-.f64 x x))))
(-.f64 (.f64 x (neg.f64 (sqrt.f64 2))) (+.f64 (.f64 (sqrt.f64 2) (-.f64 x x)) (*.f64 (sqrt.f64 2) (-.f64 x x))))
(-.f64 (.f64 x (neg.f64 (sqrt.f64 2))) (+.f64 (.f64 x (.f64 (sqrt.f64 2) -2)) (.f64 (sqrt.f64 2) (+.f64 x x))))
(-.f64 (*.f64 x (-.f64 -1 (sqrt.f64 2))) (neg.f64 x))
(-.f64 0 (*.f64 x (sqrt.f64 2)))
(-.f64 (-.f64 x x) (*.f64 x (sqrt.f64 2)))
(-.f64 (+.f64 x (*.f64 x (neg.f64 (sqrt.f64 2)))) x)
(-.f64 (+.f64 x (.f64 x (neg.f64 (sqrt.f64 2)))) (-.f64 (+.f64 x (.f64 x (.f64 (sqrt.f64 2) -2))) (.f64 x (*.f64 (sqrt.f64 2) -2))))
(-.f64 (.f64 x (.f64 (sqrt.f64 2) -2)) (*.f64 x (neg.f64 (sqrt.f64 2))))
(-.f64 (+.f64 x (.f64 x (sqrt.f64 2))) (-.f64 x (.f64 x (*.f64 (sqrt.f64 2) -2))))
(-.f64 (+.f64 x (.f64 x (sqrt.f64 2))) (+.f64 x (.f64 (sqrt.f64 2) (+.f64 x x))))
(-.f64 (+.f64 x (.f64 x (.f64 (sqrt.f64 2) -2))) (+.f64 x (*.f64 x (neg.f64 (sqrt.f64 2)))))
(-.f64 (.f64 (sqrt.f64 2) 0) (.f64 x (sqrt.f64 2)))
(-.f64 (.f64 x (sqrt.f64 2)) (.f64 (sqrt.f64 2) (+.f64 x x)))
(-.f64 (.f64 x -2) (/.f64 (.f64 x (+.f64 (neg.f64 (sqrt.f64 2)) 2)) -1))
(-.f64 (.f64 x -2) (.f64 -1 (*.f64 x (+.f64 (neg.f64 (sqrt.f64 2)) 2))))
(-.f64 (.f64 x -2) (+.f64 (neg.f64 x) (.f64 x (+.f64 -1 (sqrt.f64 2)))))
(-.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 x -2) 2)) (.f64 (sqrt.f64 2) (*.f64 x -3)))
(-.f64 (+.f64 x x) (+.f64 x (+.f64 x (*.f64 x (sqrt.f64 2)))))
(-.f64 (.f64 (+.f64 x (.f64 x (neg.f64 (sqrt.f64 2)))) 2) (*.f64 x (+.f64 (neg.f64 (sqrt.f64 2)) 2)))
(-.f64 (.f64 (+.f64 x (.f64 x (neg.f64 (sqrt.f64 2)))) 2) (+.f64 (+.f64 x (.f64 x (neg.f64 (sqrt.f64 2)))) (-.f64 (+.f64 x (.f64 x (.f64 (sqrt.f64 2) -2))) (.f64 x (*.f64 (sqrt.f64 2) -2)))))
(-.f64 (*.f64 x (+.f64 (neg.f64 (sqrt.f64 2)) 2)) (+.f64 x x))
(-.f64 (.f64 x (+.f64 (neg.f64 (sqrt.f64 2)) 2)) (-.f64 (+.f64 x (.f64 x (neg.f64 (sqrt.f64 2)))) (*.f64 x (-.f64 -1 (sqrt.f64 2)))))
(-.f64 (.f64 0 (+.f64 x (sqrt.f64 2))) (.f64 x (sqrt.f64 2)))
(-.f64 (.f64 x (+.f64 -1 (sqrt.f64 2))) (/.f64 (+.f64 x (.f64 x (*.f64 (sqrt.f64 2) -2))) -1))
(-.f64 (.f64 x (+.f64 -1 (sqrt.f64 2))) (.f64 -1 (+.f64 x (.f64 x (.f64 (sqrt.f64 2) -2)))))
(-.f64 (.f64 0 (-.f64 x (sqrt.f64 2))) (.f64 x (sqrt.f64 2)))
(-.f64 (.f64 0 (-.f64 (sqrt.f64 2) (neg.f64 x))) (.f64 x (sqrt.f64 2)))
(-.f64 (.f64 (sqrt.f64 2) (+.f64 x x)) (+.f64 (.f64 x (sqrt.f64 2)) (*.f64 (sqrt.f64 2) (+.f64 x x))))
(-.f64 (+.f64 x (.f64 2 (.f64 x (-.f64 -1 (sqrt.f64 2))))) (*.f64 x (-.f64 -1 (sqrt.f64 2))))
(-.f64 (+.f64 x (.f64 (sqrt.f64 2) (.f64 (.f64 x -2) 2))) (+.f64 x (.f64 (sqrt.f64 2) (*.f64 x -3))))
(-.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 x -2) 2)) (.f64 (sqrt.f64 2) (.f64 (.f64 x -2) 2))) (+.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 x -2) 2)) (.f64 (sqrt.f64 2) (*.f64 x -3))))
(-.f64 (+.f64 (+.f64 x (.f64 x (.f64 (sqrt.f64 2) -2))) (+.f64 x (.f64 x (.f64 (sqrt.f64 2) -2)))) (+.f64 (+.f64 x (.f64 x (neg.f64 (sqrt.f64 2)))) (+.f64 x (.f64 x (*.f64 (sqrt.f64 2) -2)))))
(-.f64 (+.f64 (.f64 (+.f64 x (.f64 x (neg.f64 (sqrt.f64 2)))) 2) (.f64 (+.f64 x (.f64 x (neg.f64 (sqrt.f64 2)))) 2)) (+.f64 (.f64 (+.f64 x (.f64 x (neg.f64 (sqrt.f64 2)))) 2) (*.f64 x (+.f64 (neg.f64 (sqrt.f64 2)) 2))))
(-.f64 (/.f64 (.f64 x (+.f64 (neg.f64 (sqrt.f64 2)) 2)) -1) (/.f64 (.f64 (+.f64 x (*.f64 x (neg.f64 (sqrt.f64 2)))) 2) -1))
(-.f64 (/.f64 (.f64 (+.f64 x x) 2) (/.f64 -1 (sqrt.f64 2))) (/.f64 (.f64 x 3) (/.f64 -1 (sqrt.f64 2))))
(-.f64 (.f64 (.f64 (sqrt.f64 2) 0) -1) (*.f64 x (sqrt.f64 2)))
(-.f64 (.f64 (.f64 x (neg.f64 (sqrt.f64 2))) 1/2) (.f64 1/2 (.f64 x (sqrt.f64 2))))
(-.f64 (.f64 (+.f64 x (.f64 x (.f64 (sqrt.f64 2) -2))) 1/2) (.f64 x 1/2))
(-.f64 (.f64 (.f64 (.f64 x -2) 2) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (*.f64 x -3)))
(-.f64 (.f64 (.f64 (.f64 2 (sqrt.f64 2)) 2) (neg.f64 x)) (.f64 (sqrt.f64 2) (*.f64 x -3)))
(-.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 x x)) -1) (*.f64 x (neg.f64 (sqrt.f64 2))))
(-.f64 (.f64 (.f64 (+.f64 x x) 2) (neg.f64 (sqrt.f64 2))) (.f64 (neg.f64 (sqrt.f64 2)) (.f64 x 3)))
(-.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 x -3)) 1/2) (.f64 1/2 (*.f64 x (neg.f64 (sqrt.f64 2)))))
(-.f64 (.f64 (.f64 x (+.f64 (neg.f64 (sqrt.f64 2)) 2)) -1) (.f64 -1 (.f64 (+.f64 x (*.f64 x (neg.f64 (sqrt.f64 2)))) 2)))
(-.f64 (.f64 (+.f64 x (.f64 (sqrt.f64 2) (.f64 x -3))) 1/2) (.f64 1/2 (+.f64 x (*.f64 x (neg.f64 (sqrt.f64 2))))))
(-.f64 (.f64 (+.f64 (.f64 x (neg.f64 (sqrt.f64 2))) (.f64 (+.f64 x (.f64 x (neg.f64 (sqrt.f64 2)))) 2)) 1/2) (.f64 1/2 (.f64 x (+.f64 (neg.f64 (sqrt.f64 2)) 2))))
(-.f64 (+.f64 (.f64 0 (-.f64 (sqrt.f64 2) (neg.f64 x))) (.f64 0 (-.f64 (sqrt.f64 2) (neg.f64 x)))) (+.f64 (.f64 0 (-.f64 (sqrt.f64 2) (neg.f64 x))) (.f64 x (sqrt.f64 2))))
(-.f64 (+.f64 (.f64 x (+.f64 (neg.f64 (sqrt.f64 2)) 2)) (.f64 x (+.f64 (neg.f64 (sqrt.f64 2)) 2))) (+.f64 (.f64 x (+.f64 (neg.f64 (sqrt.f64 2)) 2)) (-.f64 (+.f64 x (.f64 x (neg.f64 (sqrt.f64 2)))) (*.f64 x (-.f64 -1 (sqrt.f64 2))))))
(-.f64 (+.f64 (.f64 x (+.f64 (neg.f64 (sqrt.f64 2)) 2)) (.f64 x (+.f64 (neg.f64 (sqrt.f64 2)) 2))) (+.f64 (*.f64 x (+.f64 (neg.f64 (sqrt.f64 2)) 2)) (+.f64 x x)))
(-.f64 (+.f64 (.f64 0 (+.f64 x (sqrt.f64 2))) (.f64 0 (+.f64 x (sqrt.f64 2)))) (+.f64 (.f64 0 (+.f64 x (sqrt.f64 2))) (.f64 x (sqrt.f64 2))))
(-.f64 (+.f64 (+.f64 x (.f64 2 (.f64 x (-.f64 -1 (sqrt.f64 2))))) (+.f64 x (.f64 2 (.f64 x (-.f64 -1 (sqrt.f64 2)))))) (+.f64 (+.f64 x (.f64 2 (.f64 x (-.f64 -1 (sqrt.f64 2))))) (*.f64 x (-.f64 -1 (sqrt.f64 2)))))
(-.f64 (+.f64 (+.f64 x (.f64 (sqrt.f64 2) (.f64 (.f64 x -2) 2))) (+.f64 x (.f64 (sqrt.f64 2) (.f64 (.f64 x -2) 2)))) (+.f64 (+.f64 x (.f64 (sqrt.f64 2) (.f64 (.f64 x -2) 2))) (+.f64 x (.f64 (sqrt.f64 2) (*.f64 x -3)))))
(-.f64 (+.f64 (+.f64 (+.f64 x (.f64 x (.f64 (sqrt.f64 2) -2))) (+.f64 x (.f64 x (.f64 (sqrt.f64 2) -2)))) (+.f64 (+.f64 x (.f64 x (.f64 (sqrt.f64 2) -2))) (+.f64 x (.f64 x (.f64 (sqrt.f64 2) -2))))) (+.f64 (+.f64 (+.f64 x (.f64 x (.f64 (sqrt.f64 2) -2))) (+.f64 x (.f64 x (.f64 (sqrt.f64 2) -2)))) (+.f64 (+.f64 x (.f64 x (neg.f64 (sqrt.f64 2)))) (+.f64 x (.f64 x (*.f64 (sqrt.f64 2) -2))))))
(-.f64 (+.f64 (+.f64 (.f64 (+.f64 x (.f64 x (neg.f64 (sqrt.f64 2)))) 2) (.f64 (+.f64 x (.f64 x (neg.f64 (sqrt.f64 2)))) 2)) (+.f64 (.f64 (+.f64 x (.f64 x (neg.f64 (sqrt.f64 2)))) 2) (.f64 (+.f64 x (.f64 x (neg.f64 (sqrt.f64 2)))) 2))) (+.f64 (+.f64 (.f64 (+.f64 x (.f64 x (neg.f64 (sqrt.f64 2)))) 2) (.f64 (+.f64 x (.f64 x (neg.f64 (sqrt.f64 2)))) 2)) (+.f64 (.f64 (+.f64 x (.f64 x (neg.f64 (sqrt.f64 2)))) 2) (*.f64 x (+.f64 (neg.f64 (sqrt.f64 2)) 2)))))
(-.f64 (-.f64 (.f64 x (neg.f64 (sqrt.f64 2))) (.f64 x -2)) (+.f64 x x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(*.f64 x (-.f64 1 (-.f64 1 (neg.f64 (sqrt.f64 2)))))
(*.f64 x (+.f64 1 (+.f64 -1 (neg.f64 (sqrt.f64 2)))))
(*.f64 2 (/.f64 1/2 (/.f64 (/.f64 -1 x) (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 (neg.f64 x) (sqrt.f64 2))
(*.f64 (neg.f64 x) (+.f64 -1 (+.f64 (sqrt.f64 2) 1)))
(.f64 (.f64 x (neg.f64 (sqrt.f64 2))) 1)
(.f64 1 (.f64 x (neg.f64 (sqrt.f64 2))))
(.f64 -1 (.f64 x (sqrt.f64 2)))
(.f64 (.f64 x (*.f64 (sqrt.f64 2) -2)) 1/2)
(*.f64 (neg.f64 (sqrt.f64 2)) x)
(.f64 (.f64 x (sqrt.f64 2)) -1)
(.f64 (.f64 2 (sqrt.f64 2)) (/.f64 x -2))
(.f64 (.f64 2 (sqrt.f64 2)) (.f64 -1 (.f64 x 1/2)))
(.f64 (.f64 2 (sqrt.f64 2)) (-.f64 (neg.f64 x) (/.f64 x -2)))
(.f64 (.f64 2 (sqrt.f64 2)) (+.f64 (neg.f64 x) (*.f64 x 1/2)))
(.f64 (.f64 x -2) (*.f64 (sqrt.f64 2) 1/2))
(.f64 (.f64 x -2) (*.f64 (neg.f64 (sqrt.f64 2)) -1/2))
(.f64 (.f64 x -2) (-.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 2) 1/2)))
(.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 x -2) 2)) 1/4)
(.f64 (+.f64 x x) (.f64 (sqrt.f64 2) -1/2))
(.f64 (+.f64 x x) (.f64 (neg.f64 (sqrt.f64 2)) 1/2))
(.f64 (+.f64 x x) (.f64 1 (*.f64 (sqrt.f64 2) -1/2)))
(.f64 (+.f64 x x) (.f64 1 (*.f64 (neg.f64 (sqrt.f64 2)) 1/2)))
(.f64 (+.f64 x x) (.f64 -1 (*.f64 (sqrt.f64 2) 1/2)))
(*.f64 (+.f64 x x) (/.f64 1/2 (/.f64 -1 (sqrt.f64 2))))
(*.f64 (+.f64 x x) (/.f64 -1/2 (/.f64 1 (sqrt.f64 2))))
(.f64 1/2 (.f64 x (*.f64 (sqrt.f64 2) -2)))
(.f64 1/2 (-.f64 (.f64 (+.f64 x (*.f64 x (neg.f64 (sqrt.f64 2)))) 2) (+.f64 x x)))
(.f64 1/2 (+.f64 (+.f64 x x) (.f64 2 (*.f64 x (-.f64 -1 (sqrt.f64 2))))))
(.f64 1/2 (+.f64 (.f64 2 (*.f64 x (-.f64 -1 (sqrt.f64 2)))) (+.f64 x x)))
(.f64 1/2 (+.f64 (.f64 (+.f64 x (.f64 x (neg.f64 (sqrt.f64 2)))) 2) (.f64 x -2)))
(.f64 -1/2 (.f64 (sqrt.f64 2) (+.f64 x x)))
(.f64 -1/2 (-.f64 x (+.f64 x (.f64 x (*.f64 (sqrt.f64 2) -2)))))
(.f64 -1/2 (-.f64 (+.f64 x (.f64 x (neg.f64 (sqrt.f64 2)))) (+.f64 x (.f64 (sqrt.f64 2) (.f64 x -3)))))
(.f64 -1/2 (-.f64 (.f64 x (+.f64 (neg.f64 (sqrt.f64 2)) 2)) (+.f64 (.f64 x (neg.f64 (sqrt.f64 2))) (.f64 (+.f64 x (*.f64 x (neg.f64 (sqrt.f64 2)))) 2))))
(.f64 -1/2 (+.f64 (.f64 (+.f64 x (.f64 x (sqrt.f64 2))) 2) (.f64 x -2)))
(.f64 (.f64 (sqrt.f64 2) (+.f64 x x)) -1/2)
(.f64 (.f64 x 1/2) (*.f64 (sqrt.f64 2) -2))
(.f64 (.f64 (sqrt.f64 2) -1/2) (+.f64 x x))
(.f64 (.f64 (neg.f64 (sqrt.f64 2)) 1/2) (+.f64 x x))
(.f64 (.f64 (sqrt.f64 2) -2) (*.f64 (neg.f64 x) -1/2))
(.f64 (.f64 (sqrt.f64 2) -2) (/.f64 1/2 (/.f64 1 x)))
(.f64 (/.f64 x -2) (.f64 2 (sqrt.f64 2)))
(.f64 (.f64 (sqrt.f64 2) 1/2) (*.f64 x -2))
(/.f64 x (/.f64 -1 (sqrt.f64 2)))
(/.f64 (sqrt.f64 2) (/.f64 -1 x))
(/.f64 (neg.f64 x) (/.f64 1 (sqrt.f64 2)))
(/.f64 (neg.f64 x) (neg.f64 (/.f64 -1 (sqrt.f64 2))))
(/.f64 (*.f64 x (neg.f64 (sqrt.f64 2))) 1)
(/.f64 1 (/.f64 (/.f64 -1 x) (sqrt.f64 2)))
(/.f64 -1 (/.f64 (/.f64 1 x) (sqrt.f64 2)))
(/.f64 -1 (/.f64 (/.f64 1 (sqrt.f64 2)) x))
(/.f64 -1 (*.f64 (/.f64 1 x) (/.f64 1 (sqrt.f64 2))))
(/.f64 -1 (/.f64 -1 (*.f64 x (neg.f64 (sqrt.f64 2)))))
(/.f64 -1 (/.f64 1 (*.f64 x (sqrt.f64 2))))
(/.f64 (neg.f64 (sqrt.f64 2)) (/.f64 1 x))
(/.f64 (*.f64 x (sqrt.f64 2)) -1)
(/.f64 (*.f64 2 (sqrt.f64 2)) (/.f64 (/.f64 -1 x) 1/2))
(/.f64 (*.f64 x -2) (/.f64 (/.f64 1 (sqrt.f64 2)) 1/2))
(/.f64 1/2 (/.f64 (/.f64 -1/2 x) (sqrt.f64 2)))
(/.f64 1/2 (/.f64 (/.f64 1/2 (sqrt.f64 2)) (neg.f64 x)))
(/.f64 1/2 (/.f64 (/.f64 -1 x) (*.f64 2 (sqrt.f64 2))))
(/.f64 1/2 (/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 x -2)))
(/.f64 1/2 (/.f64 1 (.f64 x (.f64 (sqrt.f64 2) -2))))
(/.f64 1/2 (/.f64 -1 (*.f64 (sqrt.f64 2) (+.f64 x x))))
(/.f64 -1/2 (/.f64 (/.f64 1/2 x) (sqrt.f64 2)))
(/.f64 -1/2 (/.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 x x)))
(/.f64 (/.f64 x -2) (/.f64 1/2 (sqrt.f64 2)))
(/.f64 (*.f64 (sqrt.f64 2) 1/2) (/.f64 -1/2 x))
(/.f64 (/.f64 (sqrt.f64 2) -2) (/.f64 1/2 x))
(neg.f64 (*.f64 x (sqrt.f64 2)))
(+.f64 (neg.f64 x) (*.f64 x (neg.f64 (sqrt.f64 2))))
(+.f64 (*.f64 x (neg.f64 (sqrt.f64 2))) (neg.f64 x))
(+.f64 (.f64 x (neg.f64 (sqrt.f64 2))) (-.f64 (.f64 (sqrt.f64 2) (-.f64 x x)) x))
(+.f64 (.f64 x (neg.f64 (sqrt.f64 2))) (-.f64 (.f64 (sqrt.f64 2) 0) x))
(+.f64 (*.f64 x (-.f64 -1 (sqrt.f64 2))) 0)
(+.f64 (.f64 x (-.f64 -1 (sqrt.f64 2))) (.f64 (sqrt.f64 2) (-.f64 x x)))
(+.f64 0 (*.f64 x (-.f64 -1 (sqrt.f64 2))))
(+.f64 (+.f64 x (.f64 x (neg.f64 (sqrt.f64 2)))) (.f64 x -2))
(+.f64 (.f64 x (.f64 (sqrt.f64 2) -2)) (*.f64 x (+.f64 -1 (sqrt.f64 2))))
(+.f64 (.f64 x (.f64 (sqrt.f64 2) -2)) (.f64 1/2 (-.f64 (.f64 x (-.f64 (neg.f64 (sqrt.f64 2)) 2)) (.f64 (sqrt.f64 2) (.f64 x -3)))))
(+.f64 (-.f64 (.f64 (sqrt.f64 2) (-.f64 x x)) x) (.f64 x (neg.f64 (sqrt.f64 2))))
(+.f64 (+.f64 x (.f64 x (sqrt.f64 2))) (.f64 2 (*.f64 x (-.f64 -1 (sqrt.f64 2)))))
(+.f64 (.f64 x (sqrt.f64 2)) (.f64 -1 (-.f64 x (.f64 x (.f64 (sqrt.f64 2) -2)))))
(+.f64 (.f64 x (sqrt.f64 2)) (/.f64 (-.f64 x (.f64 x (*.f64 (sqrt.f64 2) -2))) -1))
(+.f64 (.f64 x -2) (+.f64 x (.f64 x (neg.f64 (sqrt.f64 2)))))
(+.f64 (.f64 2 (.f64 x (-.f64 -1 (sqrt.f64 2)))) (+.f64 x (*.f64 x (sqrt.f64 2))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 x -2) 2)) (neg.f64 (+.f64 x (.f64 (sqrt.f64 2) (*.f64 x -3)))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 x -2) 2)) (.f64 1 (neg.f64 (+.f64 x (.f64 (sqrt.f64 2) (.f64 x -3))))))
(+.f64 (.f64 x (+.f64 -1 (sqrt.f64 2))) (.f64 x (*.f64 (sqrt.f64 2) -2)))
(+.f64 (neg.f64 (+.f64 x (.f64 (sqrt.f64 2) (.f64 x -3)))) (.f64 (sqrt.f64 2) (.f64 (*.f64 x -2) 2)))
(+.f64 (.f64 (sqrt.f64 2) (-.f64 x x)) (.f64 x (-.f64 -1 (sqrt.f64 2))))
(+.f64 (-.f64 (.f64 (sqrt.f64 2) 0) x) (.f64 x (neg.f64 (sqrt.f64 2))))
(+.f64 (.f64 (.f64 x (neg.f64 (sqrt.f64 2))) 1/2) (.f64 1/2 (+.f64 (.f64 x (-.f64 -1 (sqrt.f64 2))) (-.f64 (*.f64 (sqrt.f64 2) (-.f64 x x)) x))))
(+.f64 (.f64 (.f64 x (neg.f64 (sqrt.f64 2))) 1/2) (.f64 1/2 (.f64 x (-.f64 (neg.f64 (sqrt.f64 2)) 2))))
(+.f64 (.f64 (.f64 x (-.f64 -1 (sqrt.f64 2))) 1/2) (.f64 1/2 (.f64 x (-.f64 -1 (sqrt.f64 2)))))
(*.f64 x (+.f64 -1 (neg.f64 (sqrt.f64 2))))
(.f64 x (.f64 1 (+.f64 -1 (neg.f64 (sqrt.f64 2)))))
(.f64 x (.f64 -1 (-.f64 1 (neg.f64 (sqrt.f64 2)))))
(*.f64 x (-.f64 -1 (sqrt.f64 2)))
(.f64 2 (/.f64 1/2 (/.f64 -1 (+.f64 x (.f64 x (sqrt.f64 2))))))
(*.f64 (neg.f64 x) (-.f64 1 (neg.f64 (sqrt.f64 2))))
(*.f64 (neg.f64 x) (+.f64 (sqrt.f64 2) 1))
(.f64 (neg.f64 x) (.f64 1 (+.f64 (sqrt.f64 2) 1)))
(.f64 (.f64 x (-.f64 -1 (sqrt.f64 2))) 1)
(.f64 1 (.f64 x (-.f64 -1 (sqrt.f64 2))))
(.f64 -1 (+.f64 x (.f64 x (sqrt.f64 2))))
(.f64 (+.f64 x (.f64 x (sqrt.f64 2))) -1)
(.f64 (.f64 x -2) (+.f64 1/2 (*.f64 (sqrt.f64 2) 1/2)))
(.f64 (.f64 2 (*.f64 x (-.f64 -1 (sqrt.f64 2)))) 1/2)
(.f64 (+.f64 x x) (-.f64 -1/2 (.f64 (sqrt.f64 2) 1/2)))
(.f64 (+.f64 x x) (+.f64 -1/2 (.f64 (sqrt.f64 2) -1/2)))
(.f64 (+.f64 x x) (+.f64 -1/2 (.f64 (neg.f64 (sqrt.f64 2)) 1/2)))
(.f64 1/2 (.f64 2 (*.f64 x (-.f64 -1 (sqrt.f64 2)))))
(.f64 1/2 (-.f64 (.f64 x (*.f64 (sqrt.f64 2) -2)) (+.f64 x x)))
(.f64 1/2 (+.f64 (.f64 x -2) (.f64 x (.f64 (sqrt.f64 2) -2))))
(.f64 1/2 (+.f64 (.f64 x (.f64 (sqrt.f64 2) -2)) (.f64 x -2)))
(.f64 -1/2 (neg.f64 (.f64 2 (*.f64 x (-.f64 -1 (sqrt.f64 2))))))
(.f64 -1/2 (.f64 (+.f64 x (*.f64 x (sqrt.f64 2))) 2))
(.f64 -1/2 (-.f64 (+.f64 x (.f64 x (sqrt.f64 2))) (*.f64 x (-.f64 -1 (sqrt.f64 2)))))
(.f64 -1/2 (-.f64 x (+.f64 (.f64 x (neg.f64 (sqrt.f64 2))) (*.f64 x (-.f64 -1 (sqrt.f64 2))))))
(.f64 -1/2 (-.f64 (+.f64 x (.f64 x (neg.f64 (sqrt.f64 2)))) (+.f64 (.f64 x (-.f64 -1 (sqrt.f64 2))) (.f64 x (*.f64 (sqrt.f64 2) -2)))))
(.f64 -1/2 (-.f64 (.f64 x (-.f64 -1 (sqrt.f64 2))) (.f64 (.f64 x (-.f64 -1 (sqrt.f64 2))) 3)))
(.f64 -1/2 (-.f64 (+.f64 x (.f64 (sqrt.f64 2) (.f64 x -3))) (+.f64 (.f64 x (-.f64 -1 (sqrt.f64 2))) (.f64 (sqrt.f64 2) (.f64 (*.f64 x -2) 2)))))
(.f64 -1/2 (-.f64 (.f64 (sqrt.f64 2) (+.f64 x x)) (*.f64 x -2)))
(.f64 -1/2 (+.f64 (+.f64 x x) (.f64 (sqrt.f64 2) (+.f64 x x))))
(.f64 -1/2 (+.f64 (.f64 (sqrt.f64 2) (+.f64 x x)) (+.f64 x x)))
(*.f64 (-.f64 1 (neg.f64 (sqrt.f64 2))) (neg.f64 x))
(*.f64 (+.f64 (sqrt.f64 2) 1) (neg.f64 x))
(*.f64 (+.f64 -1 (neg.f64 (sqrt.f64 2))) x)
(.f64 (.f64 (+.f64 x (*.f64 x (sqrt.f64 2))) 2) -1/2)
(/.f64 (*.f64 x (-.f64 -1 (sqrt.f64 2))) 1)
(/.f64 1 (/.f64 -1 (+.f64 x (*.f64 x (sqrt.f64 2)))))
(/.f64 -1 (/.f64 -1 (*.f64 x (-.f64 -1 (sqrt.f64 2)))))
(/.f64 -1 (/.f64 1 (+.f64 x (*.f64 x (sqrt.f64 2)))))
(/.f64 (+.f64 x (*.f64 x (sqrt.f64 2))) -1)
(/.f64 1/2 (/.f64 1 (.f64 2 (.f64 x (-.f64 -1 (sqrt.f64 2))))))
(/.f64 1/2 (/.f64 -1 (.f64 (+.f64 x (.f64 x (sqrt.f64 2))) 2)))
(/.f64 (+.f64 (sqrt.f64 2) 1) (/.f64 -1 x))
(/.f64 (+.f64 -1 (neg.f64 (sqrt.f64 2))) (/.f64 1 x))
(/.f64 (-.f64 -1 (sqrt.f64 2)) (/.f64 1 x))
(neg.f64 (+.f64 x (*.f64 x (sqrt.f64 2))))

Outputs
(.f64 -1 (.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(.f64 (-.f64 (.f64 -1 (sqrt.f64 2)) 1) x)
(*.f64 x (+.f64 -1 (neg.f64 (sqrt.f64 2))))
(*.f64 x (-.f64 -1 (sqrt.f64 2)))
(.f64 (-.f64 (.f64 -1 (sqrt.f64 2)) 1) x)
(*.f64 x (+.f64 -1 (neg.f64 (sqrt.f64 2))))
(*.f64 x (-.f64 -1 (sqrt.f64 2)))
(.f64 (-.f64 (.f64 -1 (sqrt.f64 2)) 1) x)
(*.f64 x (+.f64 -1 (neg.f64 (sqrt.f64 2))))
(*.f64 x (-.f64 -1 (sqrt.f64 2)))
(.f64 (-.f64 (.f64 -1 (sqrt.f64 2)) 1) x)
(*.f64 x (+.f64 -1 (neg.f64 (sqrt.f64 2))))
(*.f64 x (-.f64 -1 (sqrt.f64 2)))
(.f64 (-.f64 (.f64 -1 (sqrt.f64 2)) 1) x)
(*.f64 x (+.f64 -1 (neg.f64 (sqrt.f64 2))))
(*.f64 x (-.f64 -1 (sqrt.f64 2)))
(.f64 (-.f64 (.f64 -1 (sqrt.f64 2)) 1) x)
(*.f64 x (+.f64 -1 (neg.f64 (sqrt.f64 2))))
(*.f64 x (-.f64 -1 (sqrt.f64 2)))
(.f64 (-.f64 (.f64 -1 (sqrt.f64 2)) 1) x)
(*.f64 x (+.f64 -1 (neg.f64 (sqrt.f64 2))))
(*.f64 x (-.f64 -1 (sqrt.f64 2)))
(.f64 (-.f64 (.f64 -1 (sqrt.f64 2)) 1) x)
(*.f64 x (+.f64 -1 (neg.f64 (sqrt.f64 2))))
(*.f64 x (-.f64 -1 (sqrt.f64 2)))
(.f64 -1 (.f64 (+.f64 (sqrt.f64 2) 1) x))
(*.f64 x (+.f64 -1 (neg.f64 (sqrt.f64 2))))
(*.f64 x (-.f64 -1 (sqrt.f64 2)))
(.f64 -1 (.f64 (+.f64 (sqrt.f64 2) 1) x))
(*.f64 x (+.f64 -1 (neg.f64 (sqrt.f64 2))))
(*.f64 x (-.f64 -1 (sqrt.f64 2)))
(.f64 -1 (.f64 (+.f64 (sqrt.f64 2) 1) x))
(*.f64 x (+.f64 -1 (neg.f64 (sqrt.f64 2))))
(*.f64 x (-.f64 -1 (sqrt.f64 2)))
(.f64 -1 (.f64 (+.f64 (sqrt.f64 2) 1) x))
(*.f64 x (+.f64 -1 (neg.f64 (sqrt.f64 2))))
(*.f64 x (-.f64 -1 (sqrt.f64 2)))
(-.f64 x (+.f64 x (*.f64 x (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(-.f64 x (+.f64 (-.f64 x x) (+.f64 x (*.f64 x (sqrt.f64 2)))))
(-.f64 x (+.f64 x (+.f64 (-.f64 x x) (*.f64 (sqrt.f64 2) x))))
(-.f64 x (+.f64 (*.f64 (sqrt.f64 2) x) (+.f64 (-.f64 x x) x)))
(-.f64 x (+.f64 (+.f64 x (.f64 x (sqrt.f64 2))) (.f64 (sqrt.f64 2) 0)))
(-.f64 x (+.f64 (+.f64 x (.f64 (sqrt.f64 2) x)) (.f64 (sqrt.f64 2) 0)))
(-.f64 x (+.f64 x (*.f64 (sqrt.f64 2) (+.f64 0 x))))
(-.f64 x (+.f64 (+.f64 x (*.f64 x (sqrt.f64 2))) (-.f64 x x)))
(-.f64 x (+.f64 x (+.f64 (-.f64 x x) (*.f64 (sqrt.f64 2) x))))
(-.f64 x (+.f64 (*.f64 (sqrt.f64 2) x) (+.f64 (-.f64 x x) x)))
(-.f64 (neg.f64 x) (*.f64 x (+.f64 -1 (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(-.f64 (neg.f64 x) (.f64 -1 (+.f64 x (.f64 x (neg.f64 (sqrt.f64 2))))))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(-.f64 (neg.f64 x) (+.f64 (-.f64 x x) (*.f64 x (+.f64 -1 (sqrt.f64 2)))))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(-.f64 (neg.f64 x) (+.f64 (.f64 x (+.f64 -1 (sqrt.f64 2))) (.f64 (sqrt.f64 2) 0)))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(-.f64 (neg.f64 x) (+.f64 (*.f64 x (+.f64 -1 (sqrt.f64 2))) (-.f64 x x)))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(-.f64 (neg.f64 x) (+.f64 (.f64 x (+.f64 -1 (sqrt.f64 2))) (.f64 (sqrt.f64 2) (-.f64 x x))))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(-.f64 (*.f64 x (neg.f64 (sqrt.f64 2))) 0)
(*.f64 (sqrt.f64 2) (neg.f64 x))
(-.f64 (*.f64 x (neg.f64 (sqrt.f64 2))) (-.f64 x x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(-.f64 (.f64 x (neg.f64 (sqrt.f64 2))) (.f64 (sqrt.f64 2) 0))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(-.f64 (.f64 x (neg.f64 (sqrt.f64 2))) (.f64 0 (+.f64 x (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(-.f64 (.f64 x (neg.f64 (sqrt.f64 2))) (.f64 (sqrt.f64 2) (-.f64 x x)))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(-.f64 (.f64 x (neg.f64 (sqrt.f64 2))) (.f64 0 (-.f64 x (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(-.f64 (.f64 x (neg.f64 (sqrt.f64 2))) (.f64 0 (-.f64 (sqrt.f64 2) (neg.f64 x))))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(-.f64 (.f64 x (neg.f64 (sqrt.f64 2))) (+.f64 (.f64 (sqrt.f64 2) (-.f64 x x)) (*.f64 (sqrt.f64 2) 0)))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(-.f64 (.f64 x (neg.f64 (sqrt.f64 2))) (+.f64 (.f64 (sqrt.f64 2) (-.f64 x x)) (-.f64 x x)))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(-.f64 (.f64 x (neg.f64 (sqrt.f64 2))) (+.f64 0 (.f64 (sqrt.f64 2) (-.f64 x x))))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(-.f64 (.f64 x (neg.f64 (sqrt.f64 2))) (+.f64 (.f64 (sqrt.f64 2) 0) (*.f64 (sqrt.f64 2) (-.f64 x x))))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(-.f64 (.f64 x (neg.f64 (sqrt.f64 2))) (+.f64 (-.f64 x x) (.f64 (sqrt.f64 2) (-.f64 x x))))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(-.f64 (.f64 x (neg.f64 (sqrt.f64 2))) (+.f64 (.f64 (sqrt.f64 2) (-.f64 x x)) (*.f64 (sqrt.f64 2) (-.f64 x x))))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(-.f64 (.f64 x (neg.f64 (sqrt.f64 2))) (+.f64 (.f64 x (.f64 (sqrt.f64 2) -2)) (.f64 (sqrt.f64 2) (+.f64 x x))))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(-.f64 (*.f64 x (-.f64 -1 (sqrt.f64 2))) (neg.f64 x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(-.f64 0 (*.f64 x (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(-.f64 (-.f64 x x) (*.f64 x (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(-.f64 (+.f64 x (*.f64 x (neg.f64 (sqrt.f64 2)))) x)
(*.f64 (sqrt.f64 2) (neg.f64 x))
(-.f64 (+.f64 x (.f64 x (neg.f64 (sqrt.f64 2)))) (-.f64 (+.f64 x (.f64 x (.f64 (sqrt.f64 2) -2))) (.f64 x (*.f64 (sqrt.f64 2) -2))))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(-.f64 (.f64 x (.f64 (sqrt.f64 2) -2)) (*.f64 x (neg.f64 (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(-.f64 (+.f64 x (.f64 x (sqrt.f64 2))) (-.f64 x (.f64 x (*.f64 (sqrt.f64 2) -2))))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(-.f64 (+.f64 x (.f64 x (sqrt.f64 2))) (+.f64 x (.f64 (sqrt.f64 2) (+.f64 x x))))
(+.f64 x (-.f64 (.f64 (sqrt.f64 2) x) (+.f64 x (.f64 (sqrt.f64 2) (+.f64 x x)))))
(+.f64 x (-.f64 (.f64 (sqrt.f64 2) x) (+.f64 x (.f64 (sqrt.f64 2) (/.f64 x 1/2)))))
(+.f64 x (-.f64 (.f64 (sqrt.f64 2) x) (+.f64 x (.f64 x (/.f64 (sqrt.f64 2) 1/2)))))
(-.f64 (+.f64 x (.f64 x (.f64 (sqrt.f64 2) -2))) (+.f64 x (*.f64 x (neg.f64 (sqrt.f64 2)))))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(-.f64 (.f64 (sqrt.f64 2) 0) (.f64 x (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(-.f64 (.f64 x (sqrt.f64 2)) (.f64 (sqrt.f64 2) (+.f64 x x)))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(-.f64 (.f64 x -2) (/.f64 (.f64 x (+.f64 (neg.f64 (sqrt.f64 2)) 2)) -1))
(-.f64 (.f64 x -2) (.f64 (+.f64 2 (neg.f64 (sqrt.f64 2))) (neg.f64 x)))
(*.f64 x (-.f64 -2 (+.f64 (sqrt.f64 2) -2)))
(-.f64 (.f64 x -2) (.f64 -1 (*.f64 x (+.f64 (neg.f64 (sqrt.f64 2)) 2))))
(-.f64 (.f64 x -2) (.f64 (+.f64 2 (neg.f64 (sqrt.f64 2))) (neg.f64 x)))
(*.f64 x (-.f64 -2 (+.f64 (sqrt.f64 2) -2)))
(-.f64 (.f64 x -2) (+.f64 (neg.f64 x) (.f64 x (+.f64 -1 (sqrt.f64 2)))))
(-.f64 (.f64 x -2) (.f64 x (+.f64 (+.f64 -1 (sqrt.f64 2)) -1)))
(-.f64 (.f64 x -2) (-.f64 (.f64 x (+.f64 -1 (sqrt.f64 2))) x))
(-.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 x -2) 2)) (.f64 (sqrt.f64 2) (*.f64 x -3)))
(.f64 (sqrt.f64 2) (-.f64 (.f64 2 (.f64 x -2)) (.f64 x -3)))
(.f64 (sqrt.f64 2) (-.f64 (.f64 x -4) (*.f64 x -3)))
(-.f64 (+.f64 x x) (+.f64 x (+.f64 x (*.f64 x (sqrt.f64 2)))))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(-.f64 (.f64 (+.f64 x (.f64 x (neg.f64 (sqrt.f64 2)))) 2) (*.f64 x (+.f64 (neg.f64 (sqrt.f64 2)) 2)))
(-.f64 (.f64 2 (+.f64 x (.f64 (sqrt.f64 2) (neg.f64 x)))) (*.f64 x (+.f64 2 (neg.f64 (sqrt.f64 2)))))
(-.f64 (.f64 2 (+.f64 x (.f64 (sqrt.f64 2) (neg.f64 x)))) (*.f64 x (-.f64 2 (sqrt.f64 2))))
(-.f64 (.f64 x (+.f64 (sqrt.f64 2) -2)) (.f64 2 (*.f64 x (+.f64 -1 (sqrt.f64 2)))))
(-.f64 (.f64 (+.f64 x (.f64 x (neg.f64 (sqrt.f64 2)))) 2) (+.f64 (+.f64 x (.f64 x (neg.f64 (sqrt.f64 2)))) (-.f64 (+.f64 x (.f64 x (.f64 (sqrt.f64 2) -2))) (.f64 x (*.f64 (sqrt.f64 2) -2)))))
(-.f64 (.f64 2 (+.f64 x (.f64 (sqrt.f64 2) (neg.f64 x)))) (+.f64 (+.f64 x (.f64 (sqrt.f64 2) (.f64 x -2))) (-.f64 (+.f64 x (.f64 (sqrt.f64 2) (neg.f64 x))) (.f64 (sqrt.f64 2) (*.f64 x -2)))))
(-.f64 (.f64 2 (+.f64 x (.f64 (sqrt.f64 2) (neg.f64 x)))) (+.f64 x (+.f64 (+.f64 x (.f64 (sqrt.f64 2) (neg.f64 x))) (.f64 (sqrt.f64 2) (-.f64 x x)))))
(-.f64 (.f64 2 (-.f64 x (.f64 (sqrt.f64 2) x))) (+.f64 x (+.f64 (-.f64 x (.f64 (sqrt.f64 2) x)) (.f64 (sqrt.f64 2) (-.f64 x x)))))
(-.f64 (*.f64 x (+.f64 (neg.f64 (sqrt.f64 2)) 2)) (+.f64 x x))
(-.f64 (*.f64 x (+.f64 2 (neg.f64 (sqrt.f64 2)))) (+.f64 x x))
(-.f64 (*.f64 x (-.f64 2 (sqrt.f64 2))) (+.f64 x x))
(-.f64 (.f64 x (+.f64 (neg.f64 (sqrt.f64 2)) 2)) (-.f64 (+.f64 x (.f64 x (neg.f64 (sqrt.f64 2)))) (*.f64 x (-.f64 -1 (sqrt.f64 2)))))
(-.f64 (.f64 x (+.f64 2 (neg.f64 (sqrt.f64 2)))) (+.f64 x (-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (*.f64 x (-.f64 -1 (sqrt.f64 2))))))
(-.f64 (.f64 x (-.f64 2 (sqrt.f64 2))) (+.f64 x (-.f64 (.f64 (sqrt.f64 2) (-.f64 x x)) (neg.f64 x))))
(-.f64 (.f64 0 (+.f64 x (sqrt.f64 2))) (.f64 x (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(-.f64 (.f64 x (+.f64 -1 (sqrt.f64 2))) (/.f64 (+.f64 x (.f64 x (*.f64 (sqrt.f64 2) -2))) -1))
(-.f64 (.f64 x (+.f64 -1 (sqrt.f64 2))) (neg.f64 (+.f64 x (.f64 (sqrt.f64 2) (*.f64 x -2)))))
(-.f64 (.f64 x (+.f64 -1 (sqrt.f64 2))) (neg.f64 (+.f64 x (.f64 (sqrt.f64 2) (/.f64 x -1/2)))))
(-.f64 (.f64 x (+.f64 -1 (sqrt.f64 2))) (.f64 -1 (+.f64 x (.f64 x (.f64 (sqrt.f64 2) -2)))))
(-.f64 (.f64 x (+.f64 -1 (sqrt.f64 2))) (neg.f64 (+.f64 x (.f64 (sqrt.f64 2) (*.f64 x -2)))))
(-.f64 (.f64 x (+.f64 -1 (sqrt.f64 2))) (neg.f64 (+.f64 x (.f64 (sqrt.f64 2) (/.f64 x -1/2)))))
(-.f64 (.f64 0 (-.f64 x (sqrt.f64 2))) (.f64 x (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(-.f64 (.f64 0 (-.f64 (sqrt.f64 2) (neg.f64 x))) (.f64 x (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(-.f64 (.f64 (sqrt.f64 2) (+.f64 x x)) (+.f64 (.f64 x (sqrt.f64 2)) (*.f64 (sqrt.f64 2) (+.f64 x x))))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(-.f64 (+.f64 x (.f64 2 (.f64 x (-.f64 -1 (sqrt.f64 2))))) (*.f64 x (-.f64 -1 (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(-.f64 (+.f64 x (.f64 (sqrt.f64 2) (.f64 (.f64 x -2) 2))) (+.f64 x (.f64 (sqrt.f64 2) (*.f64 x -3))))
(+.f64 x (-.f64 (.f64 (sqrt.f64 2) (.f64 2 (.f64 x -2))) (+.f64 x (.f64 (sqrt.f64 2) (*.f64 x -3)))))
(+.f64 x (-.f64 (.f64 (sqrt.f64 2) (.f64 x -4)) (+.f64 x (.f64 (sqrt.f64 2) (.f64 x -3)))))
(-.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 x -2) 2)) (.f64 (sqrt.f64 2) (.f64 (.f64 x -2) 2))) (+.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 x -2) 2)) (.f64 (sqrt.f64 2) (*.f64 x -3))))
(.f64 (sqrt.f64 2) (-.f64 (.f64 2 (.f64 x -2)) (.f64 x -3)))
(.f64 (sqrt.f64 2) (-.f64 (.f64 x -4) (*.f64 x -3)))
(-.f64 (+.f64 (+.f64 x (.f64 x (.f64 (sqrt.f64 2) -2))) (+.f64 x (.f64 x (.f64 (sqrt.f64 2) -2)))) (+.f64 (+.f64 x (.f64 x (neg.f64 (sqrt.f64 2)))) (+.f64 x (.f64 x (*.f64 (sqrt.f64 2) -2)))))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(-.f64 (+.f64 (.f64 (+.f64 x (.f64 x (neg.f64 (sqrt.f64 2)))) 2) (.f64 (+.f64 x (.f64 x (neg.f64 (sqrt.f64 2)))) 2)) (+.f64 (.f64 (+.f64 x (.f64 x (neg.f64 (sqrt.f64 2)))) 2) (*.f64 x (+.f64 (neg.f64 (sqrt.f64 2)) 2))))
(-.f64 (.f64 2 (+.f64 x (.f64 (sqrt.f64 2) (neg.f64 x)))) (*.f64 x (+.f64 2 (neg.f64 (sqrt.f64 2)))))
(-.f64 (.f64 2 (+.f64 x (.f64 (sqrt.f64 2) (neg.f64 x)))) (*.f64 x (-.f64 2 (sqrt.f64 2))))
(-.f64 (.f64 x (+.f64 (sqrt.f64 2) -2)) (.f64 2 (*.f64 x (+.f64 -1 (sqrt.f64 2)))))
(-.f64 (/.f64 (.f64 x (+.f64 (neg.f64 (sqrt.f64 2)) 2)) -1) (/.f64 (.f64 (+.f64 x (*.f64 x (neg.f64 (sqrt.f64 2)))) 2) -1))
(-.f64 (.f64 2 (+.f64 x (.f64 (sqrt.f64 2) (neg.f64 x)))) (*.f64 x (+.f64 2 (neg.f64 (sqrt.f64 2)))))
(-.f64 (.f64 2 (+.f64 x (.f64 (sqrt.f64 2) (neg.f64 x)))) (*.f64 x (-.f64 2 (sqrt.f64 2))))
(-.f64 (.f64 x (+.f64 (sqrt.f64 2) -2)) (.f64 2 (*.f64 x (+.f64 -1 (sqrt.f64 2)))))
(-.f64 (/.f64 (.f64 (+.f64 x x) 2) (/.f64 -1 (sqrt.f64 2))) (/.f64 (.f64 x 3) (/.f64 -1 (sqrt.f64 2))))
(.f64 (sqrt.f64 2) (-.f64 (.f64 2 (.f64 x -2)) (.f64 x -3)))
(.f64 (sqrt.f64 2) (-.f64 (.f64 x -4) (*.f64 x -3)))
(-.f64 (.f64 (.f64 (sqrt.f64 2) 0) -1) (*.f64 x (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(-.f64 (.f64 (.f64 x (neg.f64 (sqrt.f64 2))) 1/2) (.f64 1/2 (.f64 x (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(-.f64 (.f64 (+.f64 x (.f64 x (.f64 (sqrt.f64 2) -2))) 1/2) (.f64 x 1/2))
(-.f64 (.f64 (+.f64 x (.f64 (sqrt.f64 2) (.f64 x -2))) 1/2) (.f64 x 1/2))
(-.f64 (.f64 x -1/2) (+.f64 (.f64 (sqrt.f64 2) x) (*.f64 x -1/2)))
(-.f64 (-.f64 (.f64 x 1/2) (.f64 (sqrt.f64 2) x)) (*.f64 x 1/2))
(-.f64 (.f64 (.f64 (.f64 x -2) 2) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (*.f64 x -3)))
(.f64 (sqrt.f64 2) (-.f64 (.f64 2 (.f64 x -2)) (.f64 x -3)))
(.f64 (sqrt.f64 2) (-.f64 (.f64 x -4) (*.f64 x -3)))
(-.f64 (.f64 (.f64 (.f64 2 (sqrt.f64 2)) 2) (neg.f64 x)) (.f64 (sqrt.f64 2) (*.f64 x -3)))
(.f64 (sqrt.f64 2) (-.f64 (.f64 2 (.f64 x -2)) (.f64 x -3)))
(.f64 (sqrt.f64 2) (-.f64 (.f64 x -4) (*.f64 x -3)))
(-.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 x x)) -1) (*.f64 x (neg.f64 (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(-.f64 (.f64 (.f64 (+.f64 x x) 2) (neg.f64 (sqrt.f64 2))) (.f64 (neg.f64 (sqrt.f64 2)) (.f64 x 3)))
(.f64 (sqrt.f64 2) (-.f64 (.f64 2 (.f64 x -2)) (.f64 x -3)))
(.f64 (sqrt.f64 2) (-.f64 (.f64 x -4) (*.f64 x -3)))
(-.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 x -3)) 1/2) (.f64 1/2 (*.f64 x (neg.f64 (sqrt.f64 2)))))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(-.f64 (.f64 (.f64 x (+.f64 (neg.f64 (sqrt.f64 2)) 2)) -1) (.f64 -1 (.f64 (+.f64 x (*.f64 x (neg.f64 (sqrt.f64 2)))) 2)))
(-.f64 (.f64 2 (+.f64 x (.f64 (sqrt.f64 2) (neg.f64 x)))) (*.f64 x (+.f64 2 (neg.f64 (sqrt.f64 2)))))
(-.f64 (.f64 2 (+.f64 x (.f64 (sqrt.f64 2) (neg.f64 x)))) (*.f64 x (-.f64 2 (sqrt.f64 2))))
(-.f64 (.f64 x (+.f64 (sqrt.f64 2) -2)) (.f64 2 (*.f64 x (+.f64 -1 (sqrt.f64 2)))))
(-.f64 (.f64 (+.f64 x (.f64 (sqrt.f64 2) (.f64 x -3))) 1/2) (.f64 1/2 (+.f64 x (*.f64 x (neg.f64 (sqrt.f64 2))))))
(.f64 1/2 (-.f64 (+.f64 x (.f64 (sqrt.f64 2) (.f64 x -3))) (+.f64 x (.f64 (sqrt.f64 2) (neg.f64 x)))))
(.f64 -1/2 (+.f64 x (-.f64 (.f64 x (-.f64 -1 (sqrt.f64 2))) (.f64 (sqrt.f64 2) (.f64 x -3)))))
(.f64 1/2 (+.f64 (.f64 (sqrt.f64 2) (.f64 x -3)) (-.f64 x (-.f64 x (.f64 (sqrt.f64 2) x)))))
(-.f64 (.f64 (+.f64 (.f64 x (neg.f64 (sqrt.f64 2))) (.f64 (+.f64 x (.f64 x (neg.f64 (sqrt.f64 2)))) 2)) 1/2) (.f64 1/2 (.f64 x (+.f64 (neg.f64 (sqrt.f64 2)) 2))))
(.f64 1/2 (-.f64 (+.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 2 (+.f64 x (.f64 (sqrt.f64 2) (neg.f64 x))))) (*.f64 x (+.f64 2 (neg.f64 (sqrt.f64 2))))))
(.f64 1/2 (+.f64 (.f64 2 (+.f64 x (.f64 (sqrt.f64 2) (neg.f64 x)))) (-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (*.f64 x (-.f64 2 (sqrt.f64 2))))))
(.f64 1/2 (-.f64 (-.f64 (.f64 2 (-.f64 x (.f64 (sqrt.f64 2) x))) (.f64 (sqrt.f64 2) x)) (*.f64 x (-.f64 2 (sqrt.f64 2)))))
(-.f64 (+.f64 (.f64 0 (-.f64 (sqrt.f64 2) (neg.f64 x))) (.f64 0 (-.f64 (sqrt.f64 2) (neg.f64 x)))) (+.f64 (.f64 0 (-.f64 (sqrt.f64 2) (neg.f64 x))) (.f64 x (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(-.f64 (+.f64 (.f64 x (+.f64 (neg.f64 (sqrt.f64 2)) 2)) (.f64 x (+.f64 (neg.f64 (sqrt.f64 2)) 2))) (+.f64 (.f64 x (+.f64 (neg.f64 (sqrt.f64 2)) 2)) (-.f64 (+.f64 x (.f64 x (neg.f64 (sqrt.f64 2)))) (*.f64 x (-.f64 -1 (sqrt.f64 2))))))
(-.f64 (.f64 x (+.f64 2 (neg.f64 (sqrt.f64 2)))) (+.f64 x (-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (*.f64 x (-.f64 -1 (sqrt.f64 2))))))
(-.f64 (.f64 x (-.f64 2 (sqrt.f64 2))) (+.f64 x (-.f64 (.f64 (sqrt.f64 2) (-.f64 x x)) (neg.f64 x))))
(-.f64 (+.f64 (.f64 x (+.f64 (neg.f64 (sqrt.f64 2)) 2)) (.f64 x (+.f64 (neg.f64 (sqrt.f64 2)) 2))) (+.f64 (*.f64 x (+.f64 (neg.f64 (sqrt.f64 2)) 2)) (+.f64 x x)))
(-.f64 (*.f64 x (+.f64 2 (neg.f64 (sqrt.f64 2)))) (+.f64 x x))
(-.f64 (*.f64 x (-.f64 2 (sqrt.f64 2))) (+.f64 x x))
(-.f64 (+.f64 (.f64 0 (+.f64 x (sqrt.f64 2))) (.f64 0 (+.f64 x (sqrt.f64 2)))) (+.f64 (.f64 0 (+.f64 x (sqrt.f64 2))) (.f64 x (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(-.f64 (+.f64 (+.f64 x (.f64 2 (.f64 x (-.f64 -1 (sqrt.f64 2))))) (+.f64 x (.f64 2 (.f64 x (-.f64 -1 (sqrt.f64 2)))))) (+.f64 (+.f64 x (.f64 2 (.f64 x (-.f64 -1 (sqrt.f64 2))))) (*.f64 x (-.f64 -1 (sqrt.f64 2)))))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(-.f64 (+.f64 (+.f64 x (.f64 (sqrt.f64 2) (.f64 (.f64 x -2) 2))) (+.f64 x (.f64 (sqrt.f64 2) (.f64 (.f64 x -2) 2)))) (+.f64 (+.f64 x (.f64 (sqrt.f64 2) (.f64 (.f64 x -2) 2))) (+.f64 x (.f64 (sqrt.f64 2) (*.f64 x -3)))))
(+.f64 x (-.f64 (.f64 (sqrt.f64 2) (.f64 2 (.f64 x -2))) (+.f64 x (.f64 (sqrt.f64 2) (*.f64 x -3)))))
(+.f64 x (-.f64 (.f64 (sqrt.f64 2) (.f64 x -4)) (+.f64 x (.f64 (sqrt.f64 2) (.f64 x -3)))))
(-.f64 (+.f64 (+.f64 (+.f64 x (.f64 x (.f64 (sqrt.f64 2) -2))) (+.f64 x (.f64 x (.f64 (sqrt.f64 2) -2)))) (+.f64 (+.f64 x (.f64 x (.f64 (sqrt.f64 2) -2))) (+.f64 x (.f64 x (.f64 (sqrt.f64 2) -2))))) (+.f64 (+.f64 (+.f64 x (.f64 x (.f64 (sqrt.f64 2) -2))) (+.f64 x (.f64 x (.f64 (sqrt.f64 2) -2)))) (+.f64 (+.f64 x (.f64 x (neg.f64 (sqrt.f64 2)))) (+.f64 x (.f64 x (*.f64 (sqrt.f64 2) -2))))))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(-.f64 (+.f64 (+.f64 (.f64 (+.f64 x (.f64 x (neg.f64 (sqrt.f64 2)))) 2) (.f64 (+.f64 x (.f64 x (neg.f64 (sqrt.f64 2)))) 2)) (+.f64 (.f64 (+.f64 x (.f64 x (neg.f64 (sqrt.f64 2)))) 2) (.f64 (+.f64 x (.f64 x (neg.f64 (sqrt.f64 2)))) 2))) (+.f64 (+.f64 (.f64 (+.f64 x (.f64 x (neg.f64 (sqrt.f64 2)))) 2) (.f64 (+.f64 x (.f64 x (neg.f64 (sqrt.f64 2)))) 2)) (+.f64 (.f64 (+.f64 x (.f64 x (neg.f64 (sqrt.f64 2)))) 2) (*.f64 x (+.f64 (neg.f64 (sqrt.f64 2)) 2)))))
(-.f64 (.f64 2 (+.f64 x (.f64 (sqrt.f64 2) (neg.f64 x)))) (*.f64 x (+.f64 2 (neg.f64 (sqrt.f64 2)))))
(-.f64 (.f64 2 (+.f64 x (.f64 (sqrt.f64 2) (neg.f64 x)))) (*.f64 x (-.f64 2 (sqrt.f64 2))))
(-.f64 (.f64 x (+.f64 (sqrt.f64 2) -2)) (.f64 2 (*.f64 x (+.f64 -1 (sqrt.f64 2)))))
(-.f64 (-.f64 (.f64 x (neg.f64 (sqrt.f64 2))) (.f64 x -2)) (+.f64 x x))
(-.f64 (-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 x -2)) (+.f64 x x))
(-.f64 (.f64 x (-.f64 -2 (sqrt.f64 2))) (.f64 x -2))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (-.f64 1 (-.f64 1 (neg.f64 (sqrt.f64 2)))))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (+.f64 1 (+.f64 -1 (neg.f64 (sqrt.f64 2)))))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 2 (/.f64 1/2 (/.f64 (/.f64 -1 x) (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 (neg.f64 x) (sqrt.f64 2))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 (neg.f64 x) (+.f64 -1 (+.f64 (sqrt.f64 2) 1)))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(.f64 (.f64 x (neg.f64 (sqrt.f64 2))) 1)
(*.f64 (sqrt.f64 2) (neg.f64 x))
(.f64 1 (.f64 x (neg.f64 (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(.f64 -1 (.f64 x (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(.f64 (.f64 x (*.f64 (sqrt.f64 2) -2)) 1/2)
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 (neg.f64 (sqrt.f64 2)) x)
(*.f64 (sqrt.f64 2) (neg.f64 x))
(.f64 (.f64 x (sqrt.f64 2)) -1)
(*.f64 (sqrt.f64 2) (neg.f64 x))
(.f64 (.f64 2 (sqrt.f64 2)) (/.f64 x -2))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(.f64 (.f64 2 (sqrt.f64 2)) (.f64 -1 (.f64 x 1/2)))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(.f64 (.f64 2 (sqrt.f64 2)) (-.f64 (neg.f64 x) (/.f64 x -2)))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(.f64 (.f64 2 (sqrt.f64 2)) (+.f64 (neg.f64 x) (*.f64 x 1/2)))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(.f64 (.f64 x -2) (*.f64 (sqrt.f64 2) 1/2))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(.f64 (.f64 x -2) (*.f64 (neg.f64 (sqrt.f64 2)) -1/2))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(.f64 (.f64 x -2) (-.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 2) 1/2)))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 x -2) 2)) 1/4)
(.f64 (.f64 (sqrt.f64 2) (.f64 2 (.f64 x -2))) 1/4)
(.f64 (sqrt.f64 2) (.f64 1/4 (*.f64 x -4)))
(.f64 (+.f64 x x) (.f64 (sqrt.f64 2) -1/2))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(.f64 (+.f64 x x) (.f64 (neg.f64 (sqrt.f64 2)) 1/2))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(.f64 (+.f64 x x) (.f64 1 (*.f64 (sqrt.f64 2) -1/2)))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(.f64 (+.f64 x x) (.f64 1 (*.f64 (neg.f64 (sqrt.f64 2)) 1/2)))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(.f64 (+.f64 x x) (.f64 -1 (*.f64 (sqrt.f64 2) 1/2)))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 (+.f64 x x) (/.f64 1/2 (/.f64 -1 (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 (+.f64 x x) (/.f64 -1/2 (/.f64 1 (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(.f64 1/2 (.f64 x (*.f64 (sqrt.f64 2) -2)))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(.f64 1/2 (-.f64 (.f64 (+.f64 x (*.f64 x (neg.f64 (sqrt.f64 2)))) 2) (+.f64 x x)))
(.f64 1/2 (-.f64 (.f64 2 (+.f64 x (*.f64 (sqrt.f64 2) (neg.f64 x)))) (+.f64 x x)))
(-.f64 (.f64 (.f64 2 (+.f64 x (*.f64 (sqrt.f64 2) (neg.f64 x)))) 1/2) x)
(-.f64 (.f64 (.f64 2 (-.f64 x (*.f64 (sqrt.f64 2) x))) 1/2) x)
(.f64 1/2 (+.f64 (+.f64 x x) (.f64 2 (*.f64 x (-.f64 -1 (sqrt.f64 2))))))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(.f64 1/2 (+.f64 (.f64 2 (*.f64 x (-.f64 -1 (sqrt.f64 2)))) (+.f64 x x)))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(.f64 1/2 (+.f64 (.f64 (+.f64 x (.f64 x (neg.f64 (sqrt.f64 2)))) 2) (.f64 x -2)))
(.f64 1/2 (+.f64 (.f64 x -2) (.f64 2 (+.f64 x (.f64 (sqrt.f64 2) (neg.f64 x))))))
(+.f64 (neg.f64 x) (.f64 (.f64 2 (+.f64 x (*.f64 (sqrt.f64 2) (neg.f64 x)))) 1/2))
(+.f64 (neg.f64 x) (.f64 (.f64 2 (-.f64 x (*.f64 (sqrt.f64 2) x))) 1/2))
(.f64 -1/2 (.f64 (sqrt.f64 2) (+.f64 x x)))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(.f64 -1/2 (-.f64 x (+.f64 x (.f64 x (*.f64 (sqrt.f64 2) -2)))))
(-.f64 (.f64 (+.f64 x (.f64 (sqrt.f64 2) (.f64 x -2))) 1/2) (.f64 x 1/2))
(-.f64 (.f64 x -1/2) (+.f64 (.f64 (sqrt.f64 2) x) (*.f64 x -1/2)))
(-.f64 (-.f64 (.f64 x 1/2) (.f64 (sqrt.f64 2) x)) (*.f64 x 1/2))
(.f64 -1/2 (-.f64 (+.f64 x (.f64 x (neg.f64 (sqrt.f64 2)))) (+.f64 x (.f64 (sqrt.f64 2) (.f64 x -3)))))
(.f64 1/2 (-.f64 (+.f64 x (.f64 (sqrt.f64 2) (.f64 x -3))) (+.f64 x (.f64 (sqrt.f64 2) (neg.f64 x)))))
(.f64 -1/2 (+.f64 x (-.f64 (.f64 x (-.f64 -1 (sqrt.f64 2))) (.f64 (sqrt.f64 2) (.f64 x -3)))))
(.f64 1/2 (+.f64 (.f64 (sqrt.f64 2) (.f64 x -3)) (-.f64 x (-.f64 x (.f64 (sqrt.f64 2) x)))))
(.f64 -1/2 (-.f64 (.f64 x (+.f64 (neg.f64 (sqrt.f64 2)) 2)) (+.f64 (.f64 x (neg.f64 (sqrt.f64 2))) (.f64 (+.f64 x (*.f64 x (neg.f64 (sqrt.f64 2)))) 2))))
(.f64 1/2 (-.f64 (+.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 2 (+.f64 x (.f64 (sqrt.f64 2) (neg.f64 x))))) (*.f64 x (+.f64 2 (neg.f64 (sqrt.f64 2))))))
(.f64 1/2 (+.f64 (.f64 2 (+.f64 x (.f64 (sqrt.f64 2) (neg.f64 x)))) (-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (*.f64 x (-.f64 2 (sqrt.f64 2))))))
(.f64 1/2 (-.f64 (-.f64 (.f64 2 (-.f64 x (.f64 (sqrt.f64 2) x))) (.f64 (sqrt.f64 2) x)) (*.f64 x (-.f64 2 (sqrt.f64 2)))))
(.f64 -1/2 (+.f64 (.f64 (+.f64 x (.f64 x (sqrt.f64 2))) 2) (.f64 x -2)))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(.f64 (.f64 (sqrt.f64 2) (+.f64 x x)) -1/2)
(*.f64 (sqrt.f64 2) (neg.f64 x))
(.f64 (.f64 x 1/2) (*.f64 (sqrt.f64 2) -2))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(.f64 (.f64 (sqrt.f64 2) -1/2) (+.f64 x x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(.f64 (.f64 (neg.f64 (sqrt.f64 2)) 1/2) (+.f64 x x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(.f64 (.f64 (sqrt.f64 2) -2) (*.f64 (neg.f64 x) -1/2))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(.f64 (.f64 (sqrt.f64 2) -2) (/.f64 1/2 (/.f64 1 x)))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(.f64 (/.f64 x -2) (.f64 2 (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(.f64 (.f64 (sqrt.f64 2) 1/2) (*.f64 x -2))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(/.f64 x (/.f64 -1 (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(/.f64 (sqrt.f64 2) (/.f64 -1 x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(/.f64 (neg.f64 x) (/.f64 1 (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(/.f64 (neg.f64 x) (neg.f64 (/.f64 -1 (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(/.f64 (*.f64 x (neg.f64 (sqrt.f64 2))) 1)
(*.f64 (sqrt.f64 2) (neg.f64 x))
(/.f64 1 (/.f64 (/.f64 -1 x) (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(/.f64 -1 (/.f64 (/.f64 1 x) (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(/.f64 -1 (/.f64 (/.f64 1 (sqrt.f64 2)) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(/.f64 -1 (*.f64 (/.f64 1 x) (/.f64 1 (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(/.f64 -1 (/.f64 -1 (*.f64 x (neg.f64 (sqrt.f64 2)))))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(/.f64 -1 (/.f64 1 (*.f64 x (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(/.f64 (neg.f64 (sqrt.f64 2)) (/.f64 1 x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(/.f64 (*.f64 x (sqrt.f64 2)) -1)
(*.f64 (sqrt.f64 2) (neg.f64 x))
(/.f64 (*.f64 2 (sqrt.f64 2)) (/.f64 (/.f64 -1 x) 1/2))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(/.f64 (*.f64 x -2) (/.f64 (/.f64 1 (sqrt.f64 2)) 1/2))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(/.f64 1/2 (/.f64 (/.f64 -1/2 x) (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(/.f64 1/2 (/.f64 (/.f64 1/2 (sqrt.f64 2)) (neg.f64 x)))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(/.f64 1/2 (/.f64 (/.f64 -1 x) (*.f64 2 (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(/.f64 1/2 (/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 x -2)))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(/.f64 1/2 (/.f64 1 (.f64 x (.f64 (sqrt.f64 2) -2))))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(/.f64 1/2 (/.f64 -1 (*.f64 (sqrt.f64 2) (+.f64 x x))))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(/.f64 -1/2 (/.f64 (/.f64 1/2 x) (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(/.f64 -1/2 (/.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 x x)))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(/.f64 (/.f64 x -2) (/.f64 1/2 (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(/.f64 (*.f64 (sqrt.f64 2) 1/2) (/.f64 -1/2 x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(/.f64 (/.f64 (sqrt.f64 2) -2) (/.f64 1/2 x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(neg.f64 (*.f64 x (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(+.f64 (neg.f64 x) (*.f64 x (neg.f64 (sqrt.f64 2))))
(*.f64 x (+.f64 -1 (neg.f64 (sqrt.f64 2))))
(*.f64 x (-.f64 -1 (sqrt.f64 2)))
(+.f64 (*.f64 x (neg.f64 (sqrt.f64 2))) (neg.f64 x))
(*.f64 x (+.f64 -1 (neg.f64 (sqrt.f64 2))))
(*.f64 x (-.f64 -1 (sqrt.f64 2)))
(+.f64 (.f64 x (neg.f64 (sqrt.f64 2))) (-.f64 (.f64 (sqrt.f64 2) (-.f64 x x)) x))
(*.f64 x (+.f64 -1 (neg.f64 (sqrt.f64 2))))
(*.f64 x (-.f64 -1 (sqrt.f64 2)))
(+.f64 (.f64 x (neg.f64 (sqrt.f64 2))) (-.f64 (.f64 (sqrt.f64 2) 0) x))
(*.f64 x (+.f64 -1 (neg.f64 (sqrt.f64 2))))
(*.f64 x (-.f64 -1 (sqrt.f64 2)))
(+.f64 (*.f64 x (-.f64 -1 (sqrt.f64 2))) 0)
(*.f64 x (+.f64 -1 (neg.f64 (sqrt.f64 2))))
(*.f64 x (-.f64 -1 (sqrt.f64 2)))
(+.f64 (.f64 x (-.f64 -1 (sqrt.f64 2))) (.f64 (sqrt.f64 2) (-.f64 x x)))
(*.f64 x (+.f64 -1 (neg.f64 (sqrt.f64 2))))
(*.f64 x (-.f64 -1 (sqrt.f64 2)))
(+.f64 0 (*.f64 x (-.f64 -1 (sqrt.f64 2))))
(*.f64 x (+.f64 -1 (neg.f64 (sqrt.f64 2))))
(*.f64 x (-.f64 -1 (sqrt.f64 2)))
(+.f64 (+.f64 x (.f64 x (neg.f64 (sqrt.f64 2)))) (.f64 x -2))
(+.f64 x (+.f64 (.f64 x -2) (.f64 (sqrt.f64 2) (neg.f64 x))))
(+.f64 x (*.f64 x (+.f64 (neg.f64 (sqrt.f64 2)) -2)))
(+.f64 (.f64 x (.f64 (sqrt.f64 2) -2)) (*.f64 x (+.f64 -1 (sqrt.f64 2))))
(*.f64 x (+.f64 -1 (neg.f64 (sqrt.f64 2))))
(*.f64 x (-.f64 -1 (sqrt.f64 2)))
(+.f64 (.f64 x (.f64 (sqrt.f64 2) -2)) (.f64 1/2 (-.f64 (.f64 x (-.f64 (neg.f64 (sqrt.f64 2)) 2)) (.f64 (sqrt.f64 2) (.f64 x -3)))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x -2)) (.f64 -1/2 (-.f64 (.f64 (sqrt.f64 2) (.f64 x -3)) (.f64 x (-.f64 (neg.f64 (sqrt.f64 2)) 2)))))
(+.f64 (.f64 1/2 (.f64 x (-.f64 (-.f64 -2 (sqrt.f64 2)) (.f64 (sqrt.f64 2) -3)))) (.f64 (sqrt.f64 2) (/.f64 x -1/2)))
(+.f64 (-.f64 (.f64 (sqrt.f64 2) (-.f64 x x)) x) (.f64 x (neg.f64 (sqrt.f64 2))))
(*.f64 x (+.f64 -1 (neg.f64 (sqrt.f64 2))))
(*.f64 x (-.f64 -1 (sqrt.f64 2)))
(+.f64 (+.f64 x (.f64 x (sqrt.f64 2))) (.f64 2 (*.f64 x (-.f64 -1 (sqrt.f64 2)))))
(+.f64 (+.f64 x (.f64 (sqrt.f64 2) x)) (.f64 2 (*.f64 x (-.f64 -1 (sqrt.f64 2)))))
(+.f64 (.f64 (sqrt.f64 2) x) (+.f64 x (.f64 (+.f64 (sqrt.f64 2) 1) (/.f64 x -1/2))))
(+.f64 (.f64 x (sqrt.f64 2)) (.f64 -1 (-.f64 x (.f64 x (.f64 (sqrt.f64 2) -2)))))
(*.f64 x (+.f64 -1 (neg.f64 (sqrt.f64 2))))
(*.f64 x (-.f64 -1 (sqrt.f64 2)))
(+.f64 (.f64 x (sqrt.f64 2)) (/.f64 (-.f64 x (.f64 x (*.f64 (sqrt.f64 2) -2))) -1))
(*.f64 x (+.f64 -1 (neg.f64 (sqrt.f64 2))))
(*.f64 x (-.f64 -1 (sqrt.f64 2)))
(+.f64 (.f64 x -2) (+.f64 x (.f64 x (neg.f64 (sqrt.f64 2)))))
(+.f64 x (+.f64 (.f64 x -2) (.f64 (sqrt.f64 2) (neg.f64 x))))
(+.f64 x (*.f64 x (+.f64 (neg.f64 (sqrt.f64 2)) -2)))
(+.f64 (.f64 2 (.f64 x (-.f64 -1 (sqrt.f64 2)))) (+.f64 x (*.f64 x (sqrt.f64 2))))
(+.f64 (+.f64 x (.f64 (sqrt.f64 2) x)) (.f64 2 (*.f64 x (-.f64 -1 (sqrt.f64 2)))))
(+.f64 (.f64 (sqrt.f64 2) x) (+.f64 x (.f64 (+.f64 (sqrt.f64 2) 1) (/.f64 x -1/2))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 x -2) 2)) (neg.f64 (+.f64 x (.f64 (sqrt.f64 2) (*.f64 x -3)))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 2 (.f64 x -2))) (neg.f64 (+.f64 x (.f64 (sqrt.f64 2) (*.f64 x -3)))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x -4)) (neg.f64 (+.f64 x (.f64 (sqrt.f64 2) (.f64 x -3)))))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x -4)) (+.f64 x (.f64 (sqrt.f64 2) (.f64 x -3))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 x -2) 2)) (.f64 1 (neg.f64 (+.f64 x (.f64 (sqrt.f64 2) (.f64 x -3))))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 2 (.f64 x -2))) (neg.f64 (+.f64 x (.f64 (sqrt.f64 2) (*.f64 x -3)))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x -4)) (neg.f64 (+.f64 x (.f64 (sqrt.f64 2) (.f64 x -3)))))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x -4)) (+.f64 x (.f64 (sqrt.f64 2) (.f64 x -3))))
(+.f64 (.f64 x (+.f64 -1 (sqrt.f64 2))) (.f64 x (*.f64 (sqrt.f64 2) -2)))
(*.f64 x (+.f64 -1 (neg.f64 (sqrt.f64 2))))
(*.f64 x (-.f64 -1 (sqrt.f64 2)))
(+.f64 (neg.f64 (+.f64 x (.f64 (sqrt.f64 2) (.f64 x -3)))) (.f64 (sqrt.f64 2) (.f64 (*.f64 x -2) 2)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 2 (.f64 x -2))) (neg.f64 (+.f64 x (.f64 (sqrt.f64 2) (*.f64 x -3)))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x -4)) (neg.f64 (+.f64 x (.f64 (sqrt.f64 2) (.f64 x -3)))))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x -4)) (+.f64 x (.f64 (sqrt.f64 2) (.f64 x -3))))
(+.f64 (.f64 (sqrt.f64 2) (-.f64 x x)) (.f64 x (-.f64 -1 (sqrt.f64 2))))
(*.f64 x (+.f64 -1 (neg.f64 (sqrt.f64 2))))
(*.f64 x (-.f64 -1 (sqrt.f64 2)))
(+.f64 (-.f64 (.f64 (sqrt.f64 2) 0) x) (.f64 x (neg.f64 (sqrt.f64 2))))
(*.f64 x (+.f64 -1 (neg.f64 (sqrt.f64 2))))
(*.f64 x (-.f64 -1 (sqrt.f64 2)))
(+.f64 (.f64 (.f64 x (neg.f64 (sqrt.f64 2))) 1/2) (.f64 1/2 (+.f64 (.f64 x (-.f64 -1 (sqrt.f64 2))) (-.f64 (*.f64 (sqrt.f64 2) (-.f64 x x)) x))))
(*.f64 x (+.f64 -1 (neg.f64 (sqrt.f64 2))))
(*.f64 x (-.f64 -1 (sqrt.f64 2)))
(+.f64 (.f64 (.f64 x (neg.f64 (sqrt.f64 2))) 1/2) (.f64 1/2 (.f64 x (-.f64 (neg.f64 (sqrt.f64 2)) 2))))
(*.f64 x (+.f64 -1 (neg.f64 (sqrt.f64 2))))
(*.f64 x (-.f64 -1 (sqrt.f64 2)))
(+.f64 (.f64 (.f64 x (-.f64 -1 (sqrt.f64 2))) 1/2) (.f64 1/2 (.f64 x (-.f64 -1 (sqrt.f64 2)))))
(*.f64 x (+.f64 -1 (neg.f64 (sqrt.f64 2))))
(*.f64 x (-.f64 -1 (sqrt.f64 2)))
(*.f64 x (+.f64 -1 (neg.f64 (sqrt.f64 2))))
(*.f64 x (-.f64 -1 (sqrt.f64 2)))
(.f64 x (.f64 1 (+.f64 -1 (neg.f64 (sqrt.f64 2)))))
(*.f64 x (+.f64 -1 (neg.f64 (sqrt.f64 2))))
(*.f64 x (-.f64 -1 (sqrt.f64 2)))
(.f64 x (.f64 -1 (-.f64 1 (neg.f64 (sqrt.f64 2)))))
(*.f64 x (+.f64 -1 (neg.f64 (sqrt.f64 2))))
(*.f64 x (-.f64 -1 (sqrt.f64 2)))
(*.f64 x (-.f64 -1 (sqrt.f64 2)))
(*.f64 x (+.f64 -1 (neg.f64 (sqrt.f64 2))))
(.f64 2 (/.f64 1/2 (/.f64 -1 (+.f64 x (.f64 x (sqrt.f64 2))))))
(*.f64 x (+.f64 -1 (neg.f64 (sqrt.f64 2))))
(*.f64 x (-.f64 -1 (sqrt.f64 2)))
(*.f64 (neg.f64 x) (-.f64 1 (neg.f64 (sqrt.f64 2))))
(*.f64 x (+.f64 -1 (neg.f64 (sqrt.f64 2))))
(*.f64 x (-.f64 -1 (sqrt.f64 2)))
(*.f64 (neg.f64 x) (+.f64 (sqrt.f64 2) 1))
(*.f64 x (+.f64 -1 (neg.f64 (sqrt.f64 2))))
(*.f64 x (-.f64 -1 (sqrt.f64 2)))
(.f64 (neg.f64 x) (.f64 1 (+.f64 (sqrt.f64 2) 1)))
(*.f64 x (+.f64 -1 (neg.f64 (sqrt.f64 2))))
(*.f64 x (-.f64 -1 (sqrt.f64 2)))
(.f64 (.f64 x (-.f64 -1 (sqrt.f64 2))) 1)
(*.f64 x (+.f64 -1 (neg.f64 (sqrt.f64 2))))
(*.f64 x (-.f64 -1 (sqrt.f64 2)))
(.f64 1 (.f64 x (-.f64 -1 (sqrt.f64 2))))
(*.f64 x (+.f64 -1 (neg.f64 (sqrt.f64 2))))
(*.f64 x (-.f64 -1 (sqrt.f64 2)))
(.f64 -1 (+.f64 x (.f64 x (sqrt.f64 2))))
(*.f64 x (+.f64 -1 (neg.f64 (sqrt.f64 2))))
(*.f64 x (-.f64 -1 (sqrt.f64 2)))
(.f64 (+.f64 x (.f64 x (sqrt.f64 2))) -1)
(*.f64 x (+.f64 -1 (neg.f64 (sqrt.f64 2))))
(*.f64 x (-.f64 -1 (sqrt.f64 2)))
(.f64 (.f64 x -2) (+.f64 1/2 (*.f64 (sqrt.f64 2) 1/2)))
(*.f64 x (+.f64 -1 (neg.f64 (sqrt.f64 2))))
(*.f64 x (-.f64 -1 (sqrt.f64 2)))
(.f64 (.f64 2 (*.f64 x (-.f64 -1 (sqrt.f64 2)))) 1/2)
(*.f64 x (+.f64 -1 (neg.f64 (sqrt.f64 2))))
(*.f64 x (-.f64 -1 (sqrt.f64 2)))
(.f64 (+.f64 x x) (-.f64 -1/2 (.f64 (sqrt.f64 2) 1/2)))
(*.f64 x (+.f64 -1 (neg.f64 (sqrt.f64 2))))
(*.f64 x (-.f64 -1 (sqrt.f64 2)))
(.f64 (+.f64 x x) (+.f64 -1/2 (.f64 (sqrt.f64 2) -1/2)))
(*.f64 x (+.f64 -1 (neg.f64 (sqrt.f64 2))))
(*.f64 x (-.f64 -1 (sqrt.f64 2)))
(.f64 (+.f64 x x) (+.f64 -1/2 (.f64 (neg.f64 (sqrt.f64 2)) 1/2)))
(*.f64 x (+.f64 -1 (neg.f64 (sqrt.f64 2))))
(*.f64 x (-.f64 -1 (sqrt.f64 2)))
(.f64 1/2 (.f64 2 (*.f64 x (-.f64 -1 (sqrt.f64 2)))))
(*.f64 x (+.f64 -1 (neg.f64 (sqrt.f64 2))))
(*.f64 x (-.f64 -1 (sqrt.f64 2)))
(.f64 1/2 (-.f64 (.f64 x (*.f64 (sqrt.f64 2) -2)) (+.f64 x x)))
(*.f64 x (+.f64 -1 (neg.f64 (sqrt.f64 2))))
(*.f64 x (-.f64 -1 (sqrt.f64 2)))
(.f64 1/2 (+.f64 (.f64 x -2) (.f64 x (.f64 (sqrt.f64 2) -2))))
(*.f64 x (+.f64 -1 (neg.f64 (sqrt.f64 2))))
(*.f64 x (-.f64 -1 (sqrt.f64 2)))
(.f64 1/2 (+.f64 (.f64 x (.f64 (sqrt.f64 2) -2)) (.f64 x -2)))
(*.f64 x (+.f64 -1 (neg.f64 (sqrt.f64 2))))
(*.f64 x (-.f64 -1 (sqrt.f64 2)))
(.f64 -1/2 (neg.f64 (.f64 2 (*.f64 x (-.f64 -1 (sqrt.f64 2))))))
(*.f64 x (+.f64 -1 (neg.f64 (sqrt.f64 2))))
(*.f64 x (-.f64 -1 (sqrt.f64 2)))
(.f64 -1/2 (.f64 (+.f64 x (*.f64 x (sqrt.f64 2))) 2))
(*.f64 x (+.f64 -1 (neg.f64 (sqrt.f64 2))))
(*.f64 x (-.f64 -1 (sqrt.f64 2)))
(.f64 -1/2 (-.f64 (+.f64 x (.f64 x (sqrt.f64 2))) (*.f64 x (-.f64 -1 (sqrt.f64 2)))))
(*.f64 x (+.f64 -1 (neg.f64 (sqrt.f64 2))))
(*.f64 x (-.f64 -1 (sqrt.f64 2)))
(.f64 -1/2 (-.f64 x (+.f64 (.f64 x (neg.f64 (sqrt.f64 2))) (*.f64 x (-.f64 -1 (sqrt.f64 2))))))
(*.f64 x (+.f64 -1 (neg.f64 (sqrt.f64 2))))
(*.f64 x (-.f64 -1 (sqrt.f64 2)))
(.f64 -1/2 (-.f64 (+.f64 x (.f64 x (neg.f64 (sqrt.f64 2)))) (+.f64 (.f64 x (-.f64 -1 (sqrt.f64 2))) (.f64 x (*.f64 (sqrt.f64 2) -2)))))
(*.f64 x (+.f64 -1 (neg.f64 (sqrt.f64 2))))
(*.f64 x (-.f64 -1 (sqrt.f64 2)))
(.f64 -1/2 (-.f64 (.f64 x (-.f64 -1 (sqrt.f64 2))) (.f64 (.f64 x (-.f64 -1 (sqrt.f64 2))) 3)))
(*.f64 x (+.f64 -1 (neg.f64 (sqrt.f64 2))))
(*.f64 x (-.f64 -1 (sqrt.f64 2)))
(.f64 -1/2 (-.f64 (+.f64 x (.f64 (sqrt.f64 2) (.f64 x -3))) (+.f64 (.f64 x (-.f64 -1 (sqrt.f64 2))) (.f64 (sqrt.f64 2) (.f64 (*.f64 x -2) 2)))))
(.f64 1/2 (-.f64 (+.f64 (.f64 x (-.f64 -1 (sqrt.f64 2))) (.f64 (sqrt.f64 2) (.f64 2 (.f64 x -2)))) (+.f64 x (.f64 (sqrt.f64 2) (*.f64 x -3)))))
(.f64 1/2 (+.f64 (.f64 x (-.f64 -1 (sqrt.f64 2))) (-.f64 (.f64 (sqrt.f64 2) (.f64 x -4)) (+.f64 x (.f64 (sqrt.f64 2) (.f64 x -3))))))
(.f64 -1/2 (-.f64 (.f64 (sqrt.f64 2) (+.f64 x x)) (*.f64 x -2)))
(*.f64 x (+.f64 -1 (neg.f64 (sqrt.f64 2))))
(*.f64 x (-.f64 -1 (sqrt.f64 2)))
(.f64 -1/2 (+.f64 (+.f64 x x) (.f64 (sqrt.f64 2) (+.f64 x x))))
(*.f64 x (+.f64 -1 (neg.f64 (sqrt.f64 2))))
(*.f64 x (-.f64 -1 (sqrt.f64 2)))
(.f64 -1/2 (+.f64 (.f64 (sqrt.f64 2) (+.f64 x x)) (+.f64 x x)))
(*.f64 x (+.f64 -1 (neg.f64 (sqrt.f64 2))))
(*.f64 x (-.f64 -1 (sqrt.f64 2)))
(*.f64 (-.f64 1 (neg.f64 (sqrt.f64 2))) (neg.f64 x))
(*.f64 x (+.f64 -1 (neg.f64 (sqrt.f64 2))))
(*.f64 x (-.f64 -1 (sqrt.f64 2)))
(*.f64 (+.f64 (sqrt.f64 2) 1) (neg.f64 x))
(*.f64 x (+.f64 -1 (neg.f64 (sqrt.f64 2))))
(*.f64 x (-.f64 -1 (sqrt.f64 2)))
(*.f64 (+.f64 -1 (neg.f64 (sqrt.f64 2))) x)
(*.f64 x (+.f64 -1 (neg.f64 (sqrt.f64 2))))
(*.f64 x (-.f64 -1 (sqrt.f64 2)))
(.f64 (.f64 (+.f64 x (*.f64 x (sqrt.f64 2))) 2) -1/2)
(*.f64 x (+.f64 -1 (neg.f64 (sqrt.f64 2))))
(*.f64 x (-.f64 -1 (sqrt.f64 2)))
(/.f64 (*.f64 x (-.f64 -1 (sqrt.f64 2))) 1)
(*.f64 x (+.f64 -1 (neg.f64 (sqrt.f64 2))))
(*.f64 x (-.f64 -1 (sqrt.f64 2)))
(/.f64 1 (/.f64 -1 (+.f64 x (*.f64 x (sqrt.f64 2)))))
(*.f64 x (+.f64 -1 (neg.f64 (sqrt.f64 2))))
(*.f64 x (-.f64 -1 (sqrt.f64 2)))
(/.f64 -1 (/.f64 -1 (*.f64 x (-.f64 -1 (sqrt.f64 2)))))
(*.f64 x (+.f64 -1 (neg.f64 (sqrt.f64 2))))
(*.f64 x (-.f64 -1 (sqrt.f64 2)))
(/.f64 -1 (/.f64 1 (+.f64 x (*.f64 x (sqrt.f64 2)))))
(*.f64 x (+.f64 -1 (neg.f64 (sqrt.f64 2))))
(*.f64 x (-.f64 -1 (sqrt.f64 2)))
(/.f64 (+.f64 x (*.f64 x (sqrt.f64 2))) -1)
(*.f64 x (+.f64 -1 (neg.f64 (sqrt.f64 2))))
(*.f64 x (-.f64 -1 (sqrt.f64 2)))
(/.f64 1/2 (/.f64 1 (.f64 2 (.f64 x (-.f64 -1 (sqrt.f64 2))))))
(*.f64 x (+.f64 -1 (neg.f64 (sqrt.f64 2))))
(*.f64 x (-.f64 -1 (sqrt.f64 2)))
(/.f64 1/2 (/.f64 -1 (.f64 (+.f64 x (.f64 x (sqrt.f64 2))) 2)))
(*.f64 x (+.f64 -1 (neg.f64 (sqrt.f64 2))))
(*.f64 x (-.f64 -1 (sqrt.f64 2)))
(/.f64 (+.f64 (sqrt.f64 2) 1) (/.f64 -1 x))
(*.f64 x (+.f64 -1 (neg.f64 (sqrt.f64 2))))
(*.f64 x (-.f64 -1 (sqrt.f64 2)))
(/.f64 (+.f64 -1 (neg.f64 (sqrt.f64 2))) (/.f64 1 x))
(*.f64 x (+.f64 -1 (neg.f64 (sqrt.f64 2))))
(*.f64 x (-.f64 -1 (sqrt.f64 2)))
(/.f64 (-.f64 -1 (sqrt.f64 2)) (/.f64 1 x))
(*.f64 x (+.f64 -1 (neg.f64 (sqrt.f64 2))))
(*.f64 x (-.f64 -1 (sqrt.f64 2)))
(neg.f64 (+.f64 x (*.f64 x (sqrt.f64 2))))
(*.f64 x (+.f64 -1 (neg.f64 (sqrt.f64 2))))
(*.f64 x (-.f64 -1 (sqrt.f64 2)))

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 (+.f64 (.f64 4 x) (*.f64 -3 x)) (sqrt.f64 2))
✓	0.8b	(+.f64 (.f64 4 x) (.f64 -3 x))

Compiler

Compiled 30 to 23 computations (23.3% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(+.f64 (.f64 4 x) (.f64 -3 x))
0.0ms	x	@	0	(.f64 (+.f64 (.f64 4 x) (*.f64 -3 x)) (sqrt.f64 2))
0.0ms	x	@	inf	(.f64 (+.f64 (.f64 4 x) (*.f64 -3 x)) (sqrt.f64 2))
0.0ms	x	@	-inf	(.f64 (+.f64 (.f64 4 x) (*.f64 -3 x)) (sqrt.f64 2))
0.0ms	x	@	inf	(+.f64 (.f64 4 x) (.f64 -3 x))

rewrite80.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1906×	`rational.json-1`
630×	`rational.json-simplify-6`
614×	`rational.json-simplify-24`
600×	`rational.json-simplify-3`
596×	`rational.json-simplify-5`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	48
1	66	12
2	181	12
3	824	12
4	7497	12

Stop Event

1×	node limit

Counts

2 → 146

Calls

Call 1

Inputs
(+.f64 (.f64 4 x) (.f64 -3 x))
(.f64 (+.f64 (.f64 4 x) (*.f64 -3 x)) (sqrt.f64 2))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 4 x) (*.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 4 x) (-.f64 (*.f64 x 5) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 4 x) (-.f64 (*.f64 x 8) (*.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 -3 x) (*.f64 x -4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 -3 x) (-.f64 (*.f64 x -2) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 -3 x) (-.f64 (*.f64 x -6) (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 x 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 x (-.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 x) (-.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 x) (-.f64 0 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 x) (*.f64 -1 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x -4) (-.f64 0 (*.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x 3) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 x x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x x) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x 8) (*.f64 x 7))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x -2) (*.f64 -3 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x 5) (*.f64 4 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x 12) (-.f64 (*.f64 x 16) (*.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x -9) (-.f64 (*.f64 x -12) (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 4 x) (*.f64 x -12)) (*.f64 x -9))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 -3 x) (*.f64 x 16)) (*.f64 x 12))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 x 3) 1/2) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 x -2) (*.f64 x -2)) (+.f64 (*.f64 x -2) (*.f64 -3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 x 5) (*.f64 x 5)) (+.f64 (*.f64 x 5) (*.f64 4 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 x 8) (*.f64 x -6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 x -6) (*.f64 x 8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (neg.f64 x) x) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (*.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (-.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (-.f64 0 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x . x)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (sqrt.f64 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (sqrt.f64 2)) (-.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (sqrt.f64 2)) (*.f64 0 (-.f64 (sqrt.f64 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (sqrt.f64 2)) (*.f64 0 (-.f64 x (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (sqrt.f64 2)) (*.f64 (sqrt.f64 2) (-.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (sqrt.f64 2)) (+.f64 0 (*.f64 0 (-.f64 (sqrt.f64 2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (sqrt.f64 2)) (+.f64 0 (*.f64 0 (-.f64 x (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (sqrt.f64 2)) (+.f64 (-.f64 x x) (*.f64 0 (-.f64 (sqrt.f64 2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (sqrt.f64 2)) (+.f64 (-.f64 x x) (*.f64 0 (-.f64 x (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (sqrt.f64 2)) (+.f64 (*.f64 (sqrt.f64 2) 0) (*.f64 0 (-.f64 (sqrt.f64 2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (sqrt.f64 2)) (+.f64 (*.f64 (sqrt.f64 2) 0) (*.f64 0 (-.f64 x (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (sqrt.f64 2)) (-.f64 (*.f64 0 (-.f64 (sqrt.f64 2) x)) (-.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (sqrt.f64 2)) (-.f64 (*.f64 0 (-.f64 x (sqrt.f64 2))) (-.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (sqrt.f64 2)) (-.f64 (*.f64 0 (-.f64 (sqrt.f64 2) x)) (*.f64 (sqrt.f64 2) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (sqrt.f64 2)) (-.f64 (*.f64 0 (-.f64 x (sqrt.f64 2))) (*.f64 (sqrt.f64 2) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (sqrt.f64 2)) (-.f64 (*.f64 0 (-.f64 (sqrt.f64 2) x)) (*.f64 (sqrt.f64 2) (-.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (sqrt.f64 2)) (-.f64 (*.f64 0 (-.f64 x (sqrt.f64 2))) (*.f64 (sqrt.f64 2) (-.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (sqrt.f64 2)) (*.f64 1 (*.f64 0 (-.f64 (sqrt.f64 2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (sqrt.f64 2)) (*.f64 1 (*.f64 0 (-.f64 x (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) (*.f64 x (*.f64 2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x x) (*.f64 x (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 4 x) (sqrt.f64 2)) (*.f64 (*.f64 -3 x) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 4 x) (sqrt.f64 2)) (-.f64 (*.f64 (sqrt.f64 2) (*.f64 x -2)) (*.f64 x (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -3 x) (sqrt.f64 2)) (*.f64 (*.f64 4 x) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -3 x) (sqrt.f64 2)) (-.f64 (*.f64 (sqrt.f64 2) (*.f64 x 5)) (*.f64 x (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) 0) (*.f64 x (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 2 (sqrt.f64 2))) (*.f64 (sqrt.f64 2) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 2 (sqrt.f64 2))) (*.f64 1/2 (*.f64 (sqrt.f64 2) (*.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (-.f64 (sqrt.f64 2) x)) (*.f64 x (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (-.f64 x (sqrt.f64 2))) (*.f64 x (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) (-.f64 x x)) (*.f64 x (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) (*.f64 x -6)) (-.f64 (*.f64 (*.f64 4 x) (sqrt.f64 2)) (*.f64 (*.f64 -3 x) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) (*.f64 x -6)) (*.f64 (sqrt.f64 2) (*.f64 x 7)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) (*.f64 x -6)) (/.f64 (*.f64 x 7) (/.f64 1 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) (*.f64 x 8)) (-.f64 (*.f64 (*.f64 -3 x) (sqrt.f64 2)) (*.f64 (*.f64 4 x) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) (*.f64 x 8)) (*.f64 (sqrt.f64 2) (*.f64 x -7)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) (*.f64 x 8)) (/.f64 (*.f64 x -7) (/.f64 1 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (sqrt.f64 2)) 1/2) (*.f64 1/2 (*.f64 x (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 -3 x) (sqrt.f64 2)) 1/2) (*.f64 1/2 (*.f64 (sqrt.f64 2) (*.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (sqrt.f64 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (sqrt.f64 2)) (-.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (sqrt.f64 2)) (*.f64 0 (-.f64 (sqrt.f64 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (sqrt.f64 2)) (*.f64 0 (-.f64 x (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (sqrt.f64 2)) (*.f64 (sqrt.f64 2) (-.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (sqrt.f64 2)) (+.f64 (*.f64 (sqrt.f64 2) (-.f64 x x)) (-.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (sqrt.f64 2)) (+.f64 (*.f64 (sqrt.f64 2) (-.f64 x x)) (*.f64 (sqrt.f64 2) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (sqrt.f64 2)) (+.f64 (*.f64 (sqrt.f64 2) (-.f64 x x)) (*.f64 (sqrt.f64 2) (-.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (sqrt.f64 2) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) (-.f64 0 (*.f64 x (*.f64 2 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) (-.f64 (-.f64 x x) (*.f64 x (*.f64 2 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) (-.f64 (*.f64 (sqrt.f64 2) 0) (*.f64 x (*.f64 2 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) (/.f64 (*.f64 x (*.f64 2 (sqrt.f64 2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) (/.f64 (*.f64 2 (sqrt.f64 2)) (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) (/.f64 (+.f64 x x) (/.f64 -1 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) (*.f64 (neg.f64 (sqrt.f64 2)) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) (*.f64 (neg.f64 x) (*.f64 2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) (*.f64 -1 (*.f64 x (*.f64 2 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 x x) (*.f64 (sqrt.f64 2) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 4 x) (sqrt.f64 2)) (*.f64 (sqrt.f64 2) (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) 0) (*.f64 (sqrt.f64 2) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (*.f64 2 (sqrt.f64 2))) (*.f64 x (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) (*.f64 x -2)) (*.f64 (*.f64 -3 x) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) (*.f64 x 5)) (*.f64 (*.f64 4 x) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 0 (-.f64 (sqrt.f64 2) x)) (*.f64 (sqrt.f64 2) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 0 (-.f64 x (sqrt.f64 2))) (*.f64 (sqrt.f64 2) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) (-.f64 x x)) (*.f64 (sqrt.f64 2) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) (*.f64 x 3)) (*.f64 x (*.f64 2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (*.f64 4 x) (sqrt.f64 2)) (*.f64 (sqrt.f64 2) (*.f64 x -6))) (*.f64 (*.f64 -3 x) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (*.f64 -3 x) (sqrt.f64 2)) (*.f64 (sqrt.f64 2) (*.f64 x 8))) (*.f64 (*.f64 4 x) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 x -2) (sqrt.f64 2)) (*.f64 (*.f64 -3 x) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 x 5) (sqrt.f64 2)) (*.f64 (*.f64 4 x) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (-.f64 x x) -1) (*.f64 (sqrt.f64 2) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 (sqrt.f64 2) 0) -1) (*.f64 (sqrt.f64 2) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 x 3)) 1/2) (*.f64 1/2 (*.f64 x (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (*.f64 4 x) (sqrt.f64 2)) (*.f64 (*.f64 4 x) (sqrt.f64 2))) (+.f64 (*.f64 (*.f64 4 x) (sqrt.f64 2)) (*.f64 (sqrt.f64 2) (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 1 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (neg.f64 (/.f64 -1 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 2) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 2) (neg.f64 (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 1 x) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 1 (*.f64 (sqrt.f64 2) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 2)) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (/.f64 -1 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (sqrt.f64 2)) (/.f64 (/.f64 1 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x x) (/.f64 (/.f64 1 (sqrt.f64 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 (/.f64 1 x) (*.f64 2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 (/.f64 1/2 (sqrt.f64 2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 (/.f64 1/2 x) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 1 (*.f64 x (*.f64 2 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 -1 (-.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) (*.f64 x (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 1/2) (/.f64 1/2 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) 1/2) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 4 (sqrt.f64 2)) (*.f64 -3 (sqrt.f64 2))) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 -3 (sqrt.f64 2)) (*.f64 4 (sqrt.f64 2))) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)))))))

simplify87.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1214×	`rational.json-simplify-1`
844×	`rational.json-simplify-24`
556×	`rational.json-simplify-57`
478×	`rational.json-simplify-3`
454×	`rational.json-simplify-6`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	299	1604
1	916	1518
2	6697	1518

Stop Event

1×	node limit

Counts

170 → 165

Calls

Call 1

Inputs
x
x
x
x
x
x
x
x
x
x
x
x
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(-.f64 (.f64 4 x) (.f64 x 3))
(-.f64 (.f64 4 x) (-.f64 (.f64 x 5) (+.f64 x x)))
(-.f64 (.f64 4 x) (-.f64 (.f64 x 8) (*.f64 x 5)))
(-.f64 (.f64 -3 x) (.f64 x -4))
(-.f64 (.f64 -3 x) (-.f64 (.f64 x -2) (+.f64 x x)))
(-.f64 (.f64 -3 x) (-.f64 (.f64 x -6) (*.f64 x -2)))
(-.f64 x 0)
(-.f64 x (-.f64 x x))
(-.f64 0 (neg.f64 x))
(-.f64 (neg.f64 x) (-.f64 (neg.f64 x) x))
(-.f64 (neg.f64 x) (-.f64 0 (+.f64 x x)))
(-.f64 (neg.f64 x) (*.f64 -1 (+.f64 x x)))
(-.f64 (.f64 x -4) (-.f64 0 (.f64 x 5)))
(-.f64 (*.f64 x 3) (+.f64 x x))
(-.f64 (-.f64 x x) (neg.f64 x))
(-.f64 (+.f64 x x) x)
(-.f64 (.f64 x 8) (.f64 x 7))
(-.f64 (.f64 x -2) (.f64 -3 x))
(-.f64 (.f64 x 5) (.f64 4 x))
(-.f64 (.f64 x 12) (-.f64 (.f64 x 16) (*.f64 x 5)))
(-.f64 (.f64 x -9) (-.f64 (.f64 x -12) (*.f64 x -2)))
(-.f64 (+.f64 (.f64 4 x) (.f64 x -12)) (*.f64 x -9))
(-.f64 (+.f64 (.f64 -3 x) (.f64 x 16)) (*.f64 x 12))
(-.f64 (.f64 (.f64 x 3) 1/2) (*.f64 x 1/2))
(-.f64 (+.f64 (.f64 x -2) (.f64 x -2)) (+.f64 (.f64 x -2) (.f64 -3 x)))
(-.f64 (+.f64 (.f64 x 5) (.f64 x 5)) (+.f64 (.f64 x 5) (.f64 4 x)))
(*.f64 x 1)
(.f64 2 (.f64 x 1/2))
(*.f64 1 x)
(*.f64 -1 (neg.f64 x))
(*.f64 (neg.f64 x) -1)
(*.f64 (+.f64 x x) 1/2)
(*.f64 1/2 (+.f64 x x))
(.f64 1/2 (+.f64 (.f64 x 8) (*.f64 x -6)))
(.f64 1/2 (+.f64 (.f64 x -6) (*.f64 x 8)))
(*.f64 (-.f64 (neg.f64 x) x) -1/2)
(.f64 -1/2 (.f64 x -2))
(*.f64 -1/2 (-.f64 (neg.f64 x) x))
(*.f64 -1/2 (-.f64 0 (+.f64 x x)))
(/.f64 x 1)
(/.f64 1 (/.f64 1 x))
(/.f64 -1 (/.f64 -1 x))
(/.f64 (neg.f64 x) -1)
(/.f64 1/2 (/.f64 1/2 x))
(neg.f64 (neg.f64 x))
(+.f64 (*.f64 x (sqrt.f64 2)) 0)
(+.f64 (*.f64 x (sqrt.f64 2)) (-.f64 x x))
(+.f64 (.f64 x (sqrt.f64 2)) (.f64 (sqrt.f64 2) 0))
(+.f64 (.f64 x (sqrt.f64 2)) (.f64 0 (-.f64 (sqrt.f64 2) x)))
(+.f64 (.f64 x (sqrt.f64 2)) (.f64 0 (-.f64 x (sqrt.f64 2))))
(+.f64 (.f64 x (sqrt.f64 2)) (.f64 (sqrt.f64 2) (-.f64 x x)))
(+.f64 (.f64 x (sqrt.f64 2)) (+.f64 0 (.f64 0 (-.f64 (sqrt.f64 2) x))))
(+.f64 (.f64 x (sqrt.f64 2)) (+.f64 0 (.f64 0 (-.f64 x (sqrt.f64 2)))))
(+.f64 (.f64 x (sqrt.f64 2)) (+.f64 (-.f64 x x) (.f64 0 (-.f64 (sqrt.f64 2) x))))
(+.f64 (.f64 x (sqrt.f64 2)) (+.f64 (-.f64 x x) (.f64 0 (-.f64 x (sqrt.f64 2)))))
(+.f64 (.f64 x (sqrt.f64 2)) (+.f64 (.f64 (sqrt.f64 2) 0) (*.f64 0 (-.f64 (sqrt.f64 2) x))))
(+.f64 (.f64 x (sqrt.f64 2)) (+.f64 (.f64 (sqrt.f64 2) 0) (*.f64 0 (-.f64 x (sqrt.f64 2)))))
(+.f64 (.f64 x (sqrt.f64 2)) (-.f64 (.f64 0 (-.f64 (sqrt.f64 2) x)) (-.f64 x x)))
(+.f64 (.f64 x (sqrt.f64 2)) (-.f64 (.f64 0 (-.f64 x (sqrt.f64 2))) (-.f64 x x)))
(+.f64 (.f64 x (sqrt.f64 2)) (-.f64 (.f64 0 (-.f64 (sqrt.f64 2) x)) (*.f64 (sqrt.f64 2) 0)))
(+.f64 (.f64 x (sqrt.f64 2)) (-.f64 (.f64 0 (-.f64 x (sqrt.f64 2))) (*.f64 (sqrt.f64 2) 0)))
(+.f64 (.f64 x (sqrt.f64 2)) (-.f64 (.f64 0 (-.f64 (sqrt.f64 2) x)) (*.f64 (sqrt.f64 2) (-.f64 x x))))
(+.f64 (.f64 x (sqrt.f64 2)) (-.f64 (.f64 0 (-.f64 x (sqrt.f64 2))) (*.f64 (sqrt.f64 2) (-.f64 x x))))
(+.f64 (.f64 x (sqrt.f64 2)) (.f64 1 (*.f64 0 (-.f64 (sqrt.f64 2) x))))
(+.f64 (.f64 x (sqrt.f64 2)) (.f64 1 (*.f64 0 (-.f64 x (sqrt.f64 2)))))
(+.f64 0 (*.f64 x (sqrt.f64 2)))
(+.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 x (*.f64 2 (sqrt.f64 2))))
(+.f64 (-.f64 x x) (*.f64 x (sqrt.f64 2)))
(+.f64 (.f64 (.f64 4 x) (sqrt.f64 2)) (.f64 (.f64 -3 x) (sqrt.f64 2)))
(+.f64 (.f64 (.f64 4 x) (sqrt.f64 2)) (-.f64 (.f64 (sqrt.f64 2) (.f64 x -2)) (*.f64 x (sqrt.f64 2))))
(+.f64 (.f64 (.f64 -3 x) (sqrt.f64 2)) (.f64 (.f64 4 x) (sqrt.f64 2)))
(+.f64 (.f64 (.f64 -3 x) (sqrt.f64 2)) (-.f64 (.f64 (sqrt.f64 2) (.f64 x 5)) (*.f64 x (sqrt.f64 2))))
(+.f64 (.f64 (sqrt.f64 2) 0) (.f64 x (sqrt.f64 2)))
(+.f64 (.f64 x (.f64 2 (sqrt.f64 2))) (*.f64 (sqrt.f64 2) (neg.f64 x)))
(+.f64 (.f64 x (.f64 2 (sqrt.f64 2))) (.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 x -2))))
(+.f64 (.f64 0 (-.f64 (sqrt.f64 2) x)) (.f64 x (sqrt.f64 2)))
(+.f64 (.f64 0 (-.f64 x (sqrt.f64 2))) (.f64 x (sqrt.f64 2)))
(+.f64 (.f64 (sqrt.f64 2) (-.f64 x x)) (.f64 x (sqrt.f64 2)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x -6)) (-.f64 (.f64 (.f64 4 x) (sqrt.f64 2)) (.f64 (.f64 -3 x) (sqrt.f64 2))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x -6)) (.f64 (sqrt.f64 2) (.f64 x 7)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x -6)) (/.f64 (*.f64 x 7) (/.f64 1 (sqrt.f64 2))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 8)) (-.f64 (.f64 (.f64 -3 x) (sqrt.f64 2)) (.f64 (.f64 4 x) (sqrt.f64 2))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 8)) (.f64 (sqrt.f64 2) (.f64 x -7)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 8)) (/.f64 (*.f64 x -7) (/.f64 1 (sqrt.f64 2))))
(+.f64 (.f64 (.f64 x (sqrt.f64 2)) 1/2) (.f64 1/2 (.f64 x (sqrt.f64 2))))
(+.f64 (.f64 (.f64 (.f64 -3 x) (sqrt.f64 2)) 1/2) (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 x 5))))
(-.f64 (*.f64 x (sqrt.f64 2)) 0)
(-.f64 (*.f64 x (sqrt.f64 2)) (-.f64 x x))
(-.f64 (.f64 x (sqrt.f64 2)) (.f64 (sqrt.f64 2) 0))
(-.f64 (.f64 x (sqrt.f64 2)) (.f64 0 (-.f64 (sqrt.f64 2) x)))
(-.f64 (.f64 x (sqrt.f64 2)) (.f64 0 (-.f64 x (sqrt.f64 2))))
(-.f64 (.f64 x (sqrt.f64 2)) (.f64 (sqrt.f64 2) (-.f64 x x)))
(-.f64 (.f64 x (sqrt.f64 2)) (+.f64 (.f64 (sqrt.f64 2) (-.f64 x x)) (-.f64 x x)))
(-.f64 (.f64 x (sqrt.f64 2)) (+.f64 (.f64 (sqrt.f64 2) (-.f64 x x)) (*.f64 (sqrt.f64 2) 0)))
(-.f64 (.f64 x (sqrt.f64 2)) (+.f64 (.f64 (sqrt.f64 2) (-.f64 x x)) (*.f64 (sqrt.f64 2) (-.f64 x x))))
(-.f64 0 (*.f64 (sqrt.f64 2) (neg.f64 x)))
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (-.f64 0 (.f64 x (*.f64 2 (sqrt.f64 2)))))
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (-.f64 (-.f64 x x) (.f64 x (*.f64 2 (sqrt.f64 2)))))
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (-.f64 (.f64 (sqrt.f64 2) 0) (.f64 x (.f64 2 (sqrt.f64 2)))))
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (/.f64 (.f64 x (*.f64 2 (sqrt.f64 2))) -1))
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (/.f64 (.f64 2 (sqrt.f64 2)) (/.f64 -1 x)))
(-.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) (/.f64 (+.f64 x x) (/.f64 -1 (sqrt.f64 2))))
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 (neg.f64 (sqrt.f64 2)) (+.f64 x x)))
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 (neg.f64 x) (*.f64 2 (sqrt.f64 2))))
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 -1 (.f64 x (.f64 2 (sqrt.f64 2)))))
(-.f64 (-.f64 x x) (*.f64 (sqrt.f64 2) (neg.f64 x)))
(-.f64 (.f64 (.f64 4 x) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (.f64 x 3)))
(-.f64 (.f64 (sqrt.f64 2) 0) (.f64 (sqrt.f64 2) (neg.f64 x)))
(-.f64 (.f64 x (.f64 2 (sqrt.f64 2))) (*.f64 x (sqrt.f64 2)))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x -2)) (.f64 (.f64 -3 x) (sqrt.f64 2)))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x 5)) (.f64 (.f64 4 x) (sqrt.f64 2)))
(-.f64 (.f64 0 (-.f64 (sqrt.f64 2) x)) (.f64 (sqrt.f64 2) (neg.f64 x)))
(-.f64 (.f64 0 (-.f64 x (sqrt.f64 2))) (.f64 (sqrt.f64 2) (neg.f64 x)))
(-.f64 (.f64 (sqrt.f64 2) (-.f64 x x)) (.f64 (sqrt.f64 2) (neg.f64 x)))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x 3)) (.f64 x (.f64 2 (sqrt.f64 2))))
(-.f64 (+.f64 (.f64 (.f64 4 x) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (.f64 x -6))) (.f64 (.f64 -3 x) (sqrt.f64 2)))
(-.f64 (+.f64 (.f64 (.f64 -3 x) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (.f64 x 8))) (.f64 (.f64 4 x) (sqrt.f64 2)))
(-.f64 (.f64 (.f64 x -2) (sqrt.f64 2)) (.f64 (.f64 -3 x) (sqrt.f64 2)))
(-.f64 (.f64 (.f64 x 5) (sqrt.f64 2)) (.f64 (.f64 4 x) (sqrt.f64 2)))
(-.f64 (.f64 (-.f64 x x) -1) (.f64 (sqrt.f64 2) (neg.f64 x)))
(-.f64 (.f64 (.f64 (sqrt.f64 2) 0) -1) (*.f64 (sqrt.f64 2) (neg.f64 x)))
(-.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 x 3)) 1/2) (.f64 1/2 (*.f64 x (sqrt.f64 2))))
(-.f64 (+.f64 (.f64 (.f64 4 x) (sqrt.f64 2)) (.f64 (.f64 4 x) (sqrt.f64 2))) (+.f64 (.f64 (.f64 4 x) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (.f64 x 3))))
(/.f64 x (/.f64 1 (sqrt.f64 2)))
(/.f64 x (neg.f64 (/.f64 -1 (sqrt.f64 2))))
(/.f64 (sqrt.f64 2) (/.f64 1 x))
(/.f64 (sqrt.f64 2) (neg.f64 (/.f64 -1 x)))
(/.f64 (*.f64 x (sqrt.f64 2)) 1)
(/.f64 1 (/.f64 (/.f64 1 x) (sqrt.f64 2)))
(/.f64 -1 (/.f64 1 (*.f64 (sqrt.f64 2) (neg.f64 x))))
(/.f64 (neg.f64 (sqrt.f64 2)) (/.f64 -1 x))
(/.f64 (neg.f64 x) (/.f64 -1 (sqrt.f64 2)))
(/.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) -1)
(/.f64 (*.f64 2 (sqrt.f64 2)) (/.f64 (/.f64 1 x) 1/2))
(/.f64 (+.f64 x x) (/.f64 (/.f64 1 (sqrt.f64 2)) 1/2))
(/.f64 1/2 (/.f64 (/.f64 1 x) (*.f64 2 (sqrt.f64 2))))
(/.f64 1/2 (/.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 x x)))
(/.f64 1/2 (/.f64 (/.f64 1/2 (sqrt.f64 2)) x))
(/.f64 1/2 (/.f64 (/.f64 1/2 x) (sqrt.f64 2)))
(/.f64 1/2 (/.f64 1 (.f64 x (.f64 2 (sqrt.f64 2)))))
(/.f64 1/2 (/.f64 -1 (-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 x (sqrt.f64 2)))))
(/.f64 (*.f64 x 1/2) (/.f64 1/2 (sqrt.f64 2)))
(/.f64 (*.f64 (sqrt.f64 2) 1/2) (/.f64 1/2 x))
(/.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (.f64 -3 (sqrt.f64 2))) (/.f64 1 x))
(/.f64 (+.f64 (.f64 -3 (sqrt.f64 2)) (.f64 4 (sqrt.f64 2))) (/.f64 1 x))
(neg.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)))

Outputs
x
x
x
x
x
x
x
x
x
x
x
x
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(-.f64 (.f64 4 x) (.f64 x 3))
x
(-.f64 (.f64 4 x) (-.f64 (.f64 x 5) (+.f64 x x)))
x
(-.f64 (.f64 4 x) (-.f64 (.f64 x 8) (*.f64 x 5)))
x
(-.f64 (.f64 -3 x) (.f64 x -4))
x
(-.f64 (.f64 -3 x) (-.f64 (.f64 x -2) (+.f64 x x)))
x
(-.f64 (.f64 -3 x) (-.f64 (.f64 x -6) (*.f64 x -2)))
x
(-.f64 x 0)
x
(-.f64 x (-.f64 x x))
x
(-.f64 0 (neg.f64 x))
x
(-.f64 (neg.f64 x) (-.f64 (neg.f64 x) x))
x
(-.f64 (neg.f64 x) (-.f64 0 (+.f64 x x)))
x
(-.f64 (neg.f64 x) (*.f64 -1 (+.f64 x x)))
x
(-.f64 (.f64 x -4) (-.f64 0 (.f64 x 5)))
x
(-.f64 (*.f64 x 3) (+.f64 x x))
(-.f64 (-.f64 x x) (neg.f64 x))
x
(-.f64 (+.f64 x x) x)
x
(-.f64 (.f64 x 8) (.f64 x 7))
x
(-.f64 (.f64 x -2) (.f64 -3 x))
x
(-.f64 (.f64 x 5) (.f64 4 x))
x
(-.f64 (.f64 x 12) (-.f64 (.f64 x 16) (*.f64 x 5)))
x
(-.f64 (.f64 x -9) (-.f64 (.f64 x -12) (*.f64 x -2)))
x
(-.f64 (+.f64 (.f64 4 x) (.f64 x -12)) (*.f64 x -9))
x
(-.f64 (+.f64 (.f64 -3 x) (.f64 x 16)) (*.f64 x 12))
x
(-.f64 (.f64 (.f64 x 3) 1/2) (*.f64 x 1/2))
(-.f64 (.f64 x 3/2) (.f64 x 1/2))
(-.f64 (+.f64 (.f64 x -2) (.f64 x -2)) (+.f64 (.f64 x -2) (.f64 -3 x)))
x
(-.f64 (+.f64 (.f64 x 5) (.f64 x 5)) (+.f64 (.f64 x 5) (.f64 4 x)))
x
(*.f64 x 1)
x
(.f64 2 (.f64 x 1/2))
x
(*.f64 1 x)
x
(*.f64 -1 (neg.f64 x))
x
(*.f64 (neg.f64 x) -1)
x
(*.f64 (+.f64 x x) 1/2)
x
(*.f64 1/2 (+.f64 x x))
x
(.f64 1/2 (+.f64 (.f64 x 8) (*.f64 x -6)))
x
(.f64 1/2 (+.f64 (.f64 x -6) (*.f64 x 8)))
x
(*.f64 (-.f64 (neg.f64 x) x) -1/2)
x
(.f64 -1/2 (.f64 x -2))
x
(*.f64 -1/2 (-.f64 (neg.f64 x) x))
x
(*.f64 -1/2 (-.f64 0 (+.f64 x x)))
x
(/.f64 x 1)
x
(/.f64 1 (/.f64 1 x))
x
(/.f64 -1 (/.f64 -1 x))
x
(/.f64 (neg.f64 x) -1)
x
(/.f64 1/2 (/.f64 1/2 x))
x
(neg.f64 (neg.f64 x))
x
(+.f64 (*.f64 x (sqrt.f64 2)) 0)
(*.f64 x (sqrt.f64 2))
(+.f64 (*.f64 x (sqrt.f64 2)) (-.f64 x x))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 x (sqrt.f64 2)) (.f64 (sqrt.f64 2) 0))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 x (sqrt.f64 2)) (.f64 0 (-.f64 (sqrt.f64 2) x)))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 x (sqrt.f64 2)) (.f64 0 (-.f64 x (sqrt.f64 2))))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 x (sqrt.f64 2)) (.f64 (sqrt.f64 2) (-.f64 x x)))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 x (sqrt.f64 2)) (+.f64 0 (.f64 0 (-.f64 (sqrt.f64 2) x))))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 x (sqrt.f64 2)) (+.f64 0 (.f64 0 (-.f64 x (sqrt.f64 2)))))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 x (sqrt.f64 2)) (+.f64 (-.f64 x x) (.f64 0 (-.f64 (sqrt.f64 2) x))))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 x (sqrt.f64 2)) (+.f64 (-.f64 x x) (.f64 0 (-.f64 x (sqrt.f64 2)))))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 x (sqrt.f64 2)) (+.f64 (.f64 (sqrt.f64 2) 0) (*.f64 0 (-.f64 (sqrt.f64 2) x))))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 x (sqrt.f64 2)) (+.f64 (.f64 (sqrt.f64 2) 0) (*.f64 0 (-.f64 x (sqrt.f64 2)))))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 x (sqrt.f64 2)) (-.f64 (.f64 0 (-.f64 (sqrt.f64 2) x)) (-.f64 x x)))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 x (sqrt.f64 2)) (-.f64 (.f64 0 (-.f64 x (sqrt.f64 2))) (-.f64 x x)))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 x (sqrt.f64 2)) (-.f64 (.f64 0 (-.f64 (sqrt.f64 2) x)) (*.f64 (sqrt.f64 2) 0)))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 x (sqrt.f64 2)) (-.f64 (.f64 0 (-.f64 x (sqrt.f64 2))) (*.f64 (sqrt.f64 2) 0)))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 x (sqrt.f64 2)) (-.f64 (.f64 0 (-.f64 (sqrt.f64 2) x)) (*.f64 (sqrt.f64 2) (-.f64 x x))))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 x (sqrt.f64 2)) (-.f64 (.f64 0 (-.f64 x (sqrt.f64 2))) (*.f64 (sqrt.f64 2) (-.f64 x x))))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 x (sqrt.f64 2)) (.f64 1 (*.f64 0 (-.f64 (sqrt.f64 2) x))))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 x (sqrt.f64 2)) (.f64 1 (*.f64 0 (-.f64 x (sqrt.f64 2)))))
(*.f64 x (sqrt.f64 2))
(+.f64 0 (*.f64 x (sqrt.f64 2)))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 x (*.f64 2 (sqrt.f64 2))))
(*.f64 x (sqrt.f64 2))
(+.f64 (-.f64 x x) (*.f64 x (sqrt.f64 2)))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 (.f64 4 x) (sqrt.f64 2)) (.f64 (.f64 -3 x) (sqrt.f64 2)))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 (.f64 4 x) (sqrt.f64 2)) (-.f64 (.f64 (sqrt.f64 2) (.f64 x -2)) (*.f64 x (sqrt.f64 2))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 4)) (-.f64 (.f64 x (.f64 (sqrt.f64 2) -2)) (*.f64 x (sqrt.f64 2))))
(+.f64 (.f64 x (.f64 (sqrt.f64 2) 4)) (.f64 (sqrt.f64 2) (-.f64 (.f64 x -2) x)))
(+.f64 (.f64 (.f64 -3 x) (sqrt.f64 2)) (.f64 (.f64 4 x) (sqrt.f64 2)))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 (.f64 -3 x) (sqrt.f64 2)) (-.f64 (.f64 (sqrt.f64 2) (.f64 x 5)) (*.f64 x (sqrt.f64 2))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x -3)) (-.f64 (.f64 x (.f64 (sqrt.f64 2) 5)) (*.f64 x (sqrt.f64 2))))
(+.f64 (.f64 x (.f64 (sqrt.f64 2) -3)) (.f64 (sqrt.f64 2) (-.f64 (.f64 x 5) x)))
(+.f64 (.f64 (sqrt.f64 2) 0) (.f64 x (sqrt.f64 2)))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 x (.f64 2 (sqrt.f64 2))) (*.f64 (sqrt.f64 2) (neg.f64 x)))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 x (.f64 2 (sqrt.f64 2))) (.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 x -2))))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 0 (-.f64 (sqrt.f64 2) x)) (.f64 x (sqrt.f64 2)))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 0 (-.f64 x (sqrt.f64 2))) (.f64 x (sqrt.f64 2)))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 (sqrt.f64 2) (-.f64 x x)) (.f64 x (sqrt.f64 2)))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x -6)) (-.f64 (.f64 (.f64 4 x) (sqrt.f64 2)) (.f64 (.f64 -3 x) (sqrt.f64 2))))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x -6)) (.f64 (sqrt.f64 2) (.f64 x 7)))
(+.f64 (.f64 x (.f64 (sqrt.f64 2) -6)) (.f64 x (.f64 (sqrt.f64 2) 7)))
(.f64 (sqrt.f64 2) (+.f64 (.f64 x -6) (*.f64 x 7)))
(.f64 (sqrt.f64 2) (+.f64 (.f64 x 7) (*.f64 x -6)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x -6)) (/.f64 (*.f64 x 7) (/.f64 1 (sqrt.f64 2))))
(+.f64 (.f64 x (.f64 (sqrt.f64 2) -6)) (.f64 x (.f64 (sqrt.f64 2) 7)))
(.f64 (sqrt.f64 2) (+.f64 (.f64 x -6) (*.f64 x 7)))
(.f64 (sqrt.f64 2) (+.f64 (.f64 x 7) (*.f64 x -6)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 8)) (-.f64 (.f64 (.f64 -3 x) (sqrt.f64 2)) (.f64 (.f64 4 x) (sqrt.f64 2))))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 8)) (.f64 (sqrt.f64 2) (.f64 x -7)))
(+.f64 (.f64 x (.f64 (sqrt.f64 2) 8)) (.f64 x (.f64 (sqrt.f64 2) -7)))
(.f64 (sqrt.f64 2) (+.f64 (.f64 x 8) (*.f64 x -7)))
(.f64 (sqrt.f64 2) (+.f64 (.f64 x -7) (*.f64 x 8)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 8)) (/.f64 (*.f64 x -7) (/.f64 1 (sqrt.f64 2))))
(+.f64 (.f64 x (.f64 (sqrt.f64 2) 8)) (.f64 x (.f64 (sqrt.f64 2) -7)))
(.f64 (sqrt.f64 2) (+.f64 (.f64 x 8) (*.f64 x -7)))
(.f64 (sqrt.f64 2) (+.f64 (.f64 x -7) (*.f64 x 8)))
(+.f64 (.f64 (.f64 x (sqrt.f64 2)) 1/2) (.f64 1/2 (.f64 x (sqrt.f64 2))))
(*.f64 x (sqrt.f64 2))
(+.f64 (.f64 (.f64 (.f64 -3 x) (sqrt.f64 2)) 1/2) (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 x 5))))
(.f64 1/2 (+.f64 (.f64 (sqrt.f64 2) (.f64 x -3)) (.f64 x (*.f64 (sqrt.f64 2) 5))))
(.f64 1/2 (.f64 (sqrt.f64 2) (+.f64 (.f64 x -3) (.f64 x 5))))
(.f64 1/2 (.f64 (sqrt.f64 2) (+.f64 (.f64 x 5) (.f64 x -3))))
(-.f64 (*.f64 x (sqrt.f64 2)) 0)
(*.f64 x (sqrt.f64 2))
(-.f64 (*.f64 x (sqrt.f64 2)) (-.f64 x x))
(*.f64 x (sqrt.f64 2))
(-.f64 (.f64 x (sqrt.f64 2)) (.f64 (sqrt.f64 2) 0))
(*.f64 x (sqrt.f64 2))
(-.f64 (.f64 x (sqrt.f64 2)) (.f64 0 (-.f64 (sqrt.f64 2) x)))
(*.f64 x (sqrt.f64 2))
(-.f64 (.f64 x (sqrt.f64 2)) (.f64 0 (-.f64 x (sqrt.f64 2))))
(*.f64 x (sqrt.f64 2))
(-.f64 (.f64 x (sqrt.f64 2)) (.f64 (sqrt.f64 2) (-.f64 x x)))
(*.f64 x (sqrt.f64 2))
(-.f64 (.f64 x (sqrt.f64 2)) (+.f64 (.f64 (sqrt.f64 2) (-.f64 x x)) (-.f64 x x)))
(*.f64 x (sqrt.f64 2))
(-.f64 (.f64 x (sqrt.f64 2)) (+.f64 (.f64 (sqrt.f64 2) (-.f64 x x)) (*.f64 (sqrt.f64 2) 0)))
(*.f64 x (sqrt.f64 2))
(-.f64 (.f64 x (sqrt.f64 2)) (+.f64 (.f64 (sqrt.f64 2) (-.f64 x x)) (*.f64 (sqrt.f64 2) (-.f64 x x))))
(*.f64 x (sqrt.f64 2))
(-.f64 0 (*.f64 (sqrt.f64 2) (neg.f64 x)))
(*.f64 x (sqrt.f64 2))
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (-.f64 0 (.f64 x (*.f64 2 (sqrt.f64 2)))))
(*.f64 x (sqrt.f64 2))
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (-.f64 (-.f64 x x) (.f64 x (*.f64 2 (sqrt.f64 2)))))
(*.f64 x (sqrt.f64 2))
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (-.f64 (.f64 (sqrt.f64 2) 0) (.f64 x (.f64 2 (sqrt.f64 2)))))
(*.f64 x (sqrt.f64 2))
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (/.f64 (.f64 x (*.f64 2 (sqrt.f64 2))) -1))
(*.f64 x (sqrt.f64 2))
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (/.f64 (.f64 2 (sqrt.f64 2)) (/.f64 -1 x)))
(*.f64 x (sqrt.f64 2))
(-.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) (/.f64 (+.f64 x x) (/.f64 -1 (sqrt.f64 2))))
(*.f64 x (sqrt.f64 2))
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 (neg.f64 (sqrt.f64 2)) (+.f64 x x)))
(*.f64 x (sqrt.f64 2))
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 (neg.f64 x) (*.f64 2 (sqrt.f64 2))))
(*.f64 x (sqrt.f64 2))
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 -1 (.f64 x (.f64 2 (sqrt.f64 2)))))
(*.f64 x (sqrt.f64 2))
(-.f64 (-.f64 x x) (*.f64 (sqrt.f64 2) (neg.f64 x)))
(*.f64 x (sqrt.f64 2))
(-.f64 (.f64 (.f64 4 x) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (.f64 x 3)))
(*.f64 x (sqrt.f64 2))
(-.f64 (.f64 (sqrt.f64 2) 0) (.f64 (sqrt.f64 2) (neg.f64 x)))
(*.f64 x (sqrt.f64 2))
(-.f64 (.f64 x (.f64 2 (sqrt.f64 2))) (*.f64 x (sqrt.f64 2)))
(*.f64 x (sqrt.f64 2))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x -2)) (.f64 (.f64 -3 x) (sqrt.f64 2)))
(*.f64 x (sqrt.f64 2))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x 5)) (.f64 (.f64 4 x) (sqrt.f64 2)))
(*.f64 x (sqrt.f64 2))
(-.f64 (.f64 0 (-.f64 (sqrt.f64 2) x)) (.f64 (sqrt.f64 2) (neg.f64 x)))
(*.f64 x (sqrt.f64 2))
(-.f64 (.f64 0 (-.f64 x (sqrt.f64 2))) (.f64 (sqrt.f64 2) (neg.f64 x)))
(*.f64 x (sqrt.f64 2))
(-.f64 (.f64 (sqrt.f64 2) (-.f64 x x)) (.f64 (sqrt.f64 2) (neg.f64 x)))
(*.f64 x (sqrt.f64 2))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x 3)) (.f64 x (.f64 2 (sqrt.f64 2))))
(*.f64 x (sqrt.f64 2))
(-.f64 (+.f64 (.f64 (.f64 4 x) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (.f64 x -6))) (.f64 (.f64 -3 x) (sqrt.f64 2)))
(*.f64 x (sqrt.f64 2))
(-.f64 (+.f64 (.f64 (.f64 -3 x) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (.f64 x 8))) (.f64 (.f64 4 x) (sqrt.f64 2)))
(*.f64 x (sqrt.f64 2))
(-.f64 (.f64 (.f64 x -2) (sqrt.f64 2)) (.f64 (.f64 -3 x) (sqrt.f64 2)))
(*.f64 x (sqrt.f64 2))
(-.f64 (.f64 (.f64 x 5) (sqrt.f64 2)) (.f64 (.f64 4 x) (sqrt.f64 2)))
(*.f64 x (sqrt.f64 2))
(-.f64 (.f64 (-.f64 x x) -1) (.f64 (sqrt.f64 2) (neg.f64 x)))
(*.f64 x (sqrt.f64 2))
(-.f64 (.f64 (.f64 (sqrt.f64 2) 0) -1) (*.f64 (sqrt.f64 2) (neg.f64 x)))
(*.f64 x (sqrt.f64 2))
(-.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 x 3)) 1/2) (.f64 1/2 (*.f64 x (sqrt.f64 2))))
(.f64 1/2 (-.f64 (.f64 (sqrt.f64 2) (.f64 x 3)) (.f64 x (sqrt.f64 2))))
(.f64 1/2 (.f64 (sqrt.f64 2) (-.f64 (*.f64 x 3) x)))
(-.f64 (+.f64 (.f64 (.f64 4 x) (sqrt.f64 2)) (.f64 (.f64 4 x) (sqrt.f64 2))) (+.f64 (.f64 (.f64 4 x) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (.f64 x 3))))
(*.f64 x (sqrt.f64 2))
(/.f64 x (/.f64 1 (sqrt.f64 2)))
(*.f64 x (sqrt.f64 2))
(/.f64 x (neg.f64 (/.f64 -1 (sqrt.f64 2))))
(*.f64 x (sqrt.f64 2))
(/.f64 (sqrt.f64 2) (/.f64 1 x))
(*.f64 x (sqrt.f64 2))
(/.f64 (sqrt.f64 2) (neg.f64 (/.f64 -1 x)))
(*.f64 x (sqrt.f64 2))
(/.f64 (*.f64 x (sqrt.f64 2)) 1)
(*.f64 x (sqrt.f64 2))
(/.f64 1 (/.f64 (/.f64 1 x) (sqrt.f64 2)))
(*.f64 x (sqrt.f64 2))
(/.f64 -1 (/.f64 1 (*.f64 (sqrt.f64 2) (neg.f64 x))))
(*.f64 x (sqrt.f64 2))
(/.f64 (neg.f64 (sqrt.f64 2)) (/.f64 -1 x))
(*.f64 x (sqrt.f64 2))
(/.f64 (neg.f64 x) (/.f64 -1 (sqrt.f64 2)))
(*.f64 x (sqrt.f64 2))
(/.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) -1)
(*.f64 x (sqrt.f64 2))
(/.f64 (*.f64 2 (sqrt.f64 2)) (/.f64 (/.f64 1 x) 1/2))
(*.f64 x (sqrt.f64 2))
(/.f64 (+.f64 x x) (/.f64 (/.f64 1 (sqrt.f64 2)) 1/2))
(*.f64 x (sqrt.f64 2))
(/.f64 1/2 (/.f64 (/.f64 1 x) (*.f64 2 (sqrt.f64 2))))
(*.f64 x (sqrt.f64 2))
(/.f64 1/2 (/.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 x x)))
(*.f64 x (sqrt.f64 2))
(/.f64 1/2 (/.f64 (/.f64 1/2 (sqrt.f64 2)) x))
(*.f64 x (sqrt.f64 2))
(/.f64 1/2 (/.f64 (/.f64 1/2 x) (sqrt.f64 2)))
(*.f64 x (sqrt.f64 2))
(/.f64 1/2 (/.f64 1 (.f64 x (.f64 2 (sqrt.f64 2)))))
(*.f64 x (sqrt.f64 2))
(/.f64 1/2 (/.f64 -1 (-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 x (sqrt.f64 2)))))
(*.f64 x (sqrt.f64 2))
(/.f64 (*.f64 x 1/2) (/.f64 1/2 (sqrt.f64 2)))
(*.f64 x (sqrt.f64 2))
(/.f64 (*.f64 (sqrt.f64 2) 1/2) (/.f64 1/2 x))
(*.f64 x (sqrt.f64 2))
(/.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (.f64 -3 (sqrt.f64 2))) (/.f64 1 x))
(*.f64 x (sqrt.f64 2))
(/.f64 (+.f64 (.f64 -3 (sqrt.f64 2)) (.f64 4 (sqrt.f64 2))) (/.f64 1 x))
(*.f64 x (sqrt.f64 2))
(neg.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)))
(*.f64 x (sqrt.f64 2))

localize15.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
	1.0b	(*.f64 (sqrt.f64 2) -3)
✓	2.0b	(+.f64 (.f64 4 (sqrt.f64 2)) (.f64 (sqrt.f64 2) -3))

Compiler

Compiled 35 to 33 computations (5.7% saved)

series0.0ms (0%)

Counts

2 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
0.0ms	x	@	inf	(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
0.0ms	x	@	-inf	(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)

rewrite47.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

764×	`rational.json-simplify-24`
696×	`rational.json-simplify-29`
684×	`rational.json-simplify-5`
658×	`rational.json-simplify-2`
656×	`rational.json-simplify-6`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	16
1	68	16
2	179	16
3	987	16

Stop Event

1×	node limit

Counts

2 → 152

Calls

Call 1

Inputs
(+.f64 (.f64 4 (sqrt.f64 2)) (.f64 (sqrt.f64 2) -3))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 4 (sqrt.f64 2)) (-.f64 (*.f64 (sqrt.f64 2) 5) (*.f64 2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 4 (sqrt.f64 2)) (-.f64 (*.f64 (sqrt.f64 2) 8) (*.f64 (sqrt.f64 2) 5)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) -3) (*.f64 (sqrt.f64 2) -4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) -3) (-.f64 (*.f64 (sqrt.f64 2) -2) (*.f64 2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) -3) (-.f64 (*.f64 (sqrt.f64 2) -6) (*.f64 (sqrt.f64 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) 3) (*.f64 2 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (sqrt.f64 2)) (/.f64 (*.f64 2 (sqrt.f64 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (sqrt.f64 2)) (-.f64 0 (*.f64 2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (sqrt.f64 2)) (*.f64 -1 (*.f64 2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) -4) (-.f64 0 (*.f64 (sqrt.f64 2) 5)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) 0) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 2 (sqrt.f64 2)) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) -2) (*.f64 (sqrt.f64 2) -3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) 5) (*.f64 4 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) 13) (*.f64 (sqrt.f64 2) 12))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) -8) (*.f64 (sqrt.f64 2) -9))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) -9) (-.f64 (*.f64 (sqrt.f64 2) -12) (*.f64 (sqrt.f64 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) 12) (-.f64 (*.f64 (sqrt.f64 2) 16) (*.f64 (sqrt.f64 2) 5)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 (sqrt.f64 2) 3) 1/2) (*.f64 1/2 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (sqrt.f64 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 (sqrt.f64 2) 8) (*.f64 (sqrt.f64 2) -6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 (sqrt.f64 2) -6) (*.f64 (sqrt.f64 2) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 2 (sqrt.f64 2)) -1) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (*.f64 (sqrt.f64 2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (/.f64 (*.f64 2 (sqrt.f64 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (-.f64 0 (*.f64 2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 -1 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 1/2 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (*.f64 2 (sqrt.f64 2)) -1) 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 2)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) x) (*.f64 (sqrt.f64 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) x) (-.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) x) (*.f64 0 (-.f64 x (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) x) (*.f64 0 (-.f64 (sqrt.f64 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) x) (*.f64 (sqrt.f64 2) (-.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) x) (+.f64 0 (*.f64 0 (-.f64 x (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) x) (+.f64 0 (*.f64 0 (-.f64 (sqrt.f64 2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) x) (+.f64 (*.f64 (sqrt.f64 2) 0) (*.f64 0 (-.f64 x (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) x) (+.f64 (*.f64 (sqrt.f64 2) 0) (*.f64 0 (-.f64 (sqrt.f64 2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) x) (+.f64 (-.f64 x x) (*.f64 0 (-.f64 x (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) x) (+.f64 (-.f64 x x) (*.f64 0 (-.f64 (sqrt.f64 2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) x) (-.f64 (*.f64 0 (-.f64 x (sqrt.f64 2))) (*.f64 (sqrt.f64 2) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) x) (-.f64 (*.f64 0 (-.f64 (sqrt.f64 2) x)) (*.f64 (sqrt.f64 2) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) x) (-.f64 (*.f64 0 (-.f64 x (sqrt.f64 2))) (-.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) x) (-.f64 (*.f64 0 (-.f64 (sqrt.f64 2) x)) (-.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) x) (-.f64 (*.f64 0 (-.f64 x (sqrt.f64 2))) (*.f64 (sqrt.f64 2) (-.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) x) (-.f64 (*.f64 0 (-.f64 (sqrt.f64 2) x)) (*.f64 (sqrt.f64 2) (-.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) x) (*.f64 1 (*.f64 0 (-.f64 x (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) x) (*.f64 1 (*.f64 0 (-.f64 (sqrt.f64 2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) (*.f64 (sqrt.f64 2) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) 0) (*.f64 (sqrt.f64 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x x) (*.f64 (sqrt.f64 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) (*.f64 4 x)) (*.f64 (sqrt.f64 2) (*.f64 -3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) (*.f64 4 x)) (-.f64 (*.f64 x (*.f64 (sqrt.f64 2) -2)) (*.f64 (sqrt.f64 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) (*.f64 -3 x)) (*.f64 (sqrt.f64 2) (*.f64 4 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) (*.f64 -3 x)) (-.f64 (*.f64 x (*.f64 (sqrt.f64 2) 5)) (*.f64 (sqrt.f64 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) (+.f64 x x)) (*.f64 (sqrt.f64 2) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (-.f64 x (sqrt.f64 2))) (*.f64 (sqrt.f64 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (-.f64 (sqrt.f64 2) x)) (*.f64 (sqrt.f64 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) (-.f64 x x)) (*.f64 (sqrt.f64 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) (*.f64 x -12)) (+.f64 (*.f64 (sqrt.f64 2) (*.f64 4 x)) (*.f64 (sqrt.f64 2) (*.f64 x 9))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) (*.f64 x -12)) (+.f64 (*.f64 (sqrt.f64 2) (*.f64 -3 x)) (*.f64 (sqrt.f64 2) (*.f64 x 16))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) (*.f64 x -12)) (*.f64 x (*.f64 (sqrt.f64 2) 13)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) (*.f64 x -12)) (/.f64 (*.f64 (sqrt.f64 2) 13) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) (*.f64 x 16)) (+.f64 (*.f64 (sqrt.f64 2) (*.f64 -3 x)) (*.f64 (sqrt.f64 2) (*.f64 x -12))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) (*.f64 x 16)) (*.f64 x (*.f64 (sqrt.f64 2) -15)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) (*.f64 x 16)) (/.f64 (*.f64 (sqrt.f64 2) -15) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) (*.f64 x 9)) (+.f64 (*.f64 (sqrt.f64 2) (*.f64 4 x)) (*.f64 (sqrt.f64 2) (*.f64 x -12))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) (*.f64 x 9)) (*.f64 x (*.f64 (sqrt.f64 2) -8)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) (*.f64 x 9)) (/.f64 (*.f64 (sqrt.f64 2) -8) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 (sqrt.f64 2) 8)) (-.f64 (*.f64 (sqrt.f64 2) (*.f64 -3 x)) (*.f64 (sqrt.f64 2) (*.f64 4 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 (sqrt.f64 2) 8)) (*.f64 x (*.f64 (sqrt.f64 2) -7)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 (sqrt.f64 2) 8)) (/.f64 (*.f64 (sqrt.f64 2) -7) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 (sqrt.f64 2) -6)) (-.f64 (*.f64 (sqrt.f64 2) (*.f64 4 x)) (*.f64 (sqrt.f64 2) (*.f64 -3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 (sqrt.f64 2) -6)) (*.f64 x (*.f64 (sqrt.f64 2) 7)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 (sqrt.f64 2) -6)) (/.f64 (*.f64 (sqrt.f64 2) 7) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sqrt.f64 2) x) 1/2) (*.f64 1/2 (*.f64 (sqrt.f64 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 4 x)) 1/2) (*.f64 1/2 (*.f64 x (*.f64 (sqrt.f64 2) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 -3 x)) 1/2) (*.f64 1/2 (*.f64 x (*.f64 (sqrt.f64 2) 5))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) x) (*.f64 (sqrt.f64 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) x) (-.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) x) (*.f64 0 (-.f64 x (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) x) (*.f64 0 (-.f64 (sqrt.f64 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) x) (*.f64 (sqrt.f64 2) (-.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (sqrt.f64 2) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) (-.f64 0 (*.f64 (sqrt.f64 2) (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) (-.f64 (*.f64 (sqrt.f64 2) 0) (*.f64 (sqrt.f64 2) (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) (-.f64 (-.f64 x x) (*.f64 (sqrt.f64 2) (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) (/.f64 (*.f64 (sqrt.f64 2) (+.f64 x x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) (/.f64 (+.f64 x x) (/.f64 -1 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) (/.f64 (*.f64 2 (sqrt.f64 2)) (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) (*.f64 (neg.f64 (sqrt.f64 2)) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) (*.f64 (neg.f64 x) (*.f64 2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) (*.f64 -1 (*.f64 (sqrt.f64 2) (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) 0) (*.f64 (sqrt.f64 2) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 x x) (*.f64 (sqrt.f64 2) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) (*.f64 4 x)) (*.f64 (sqrt.f64 2) (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) (+.f64 x x)) (*.f64 (sqrt.f64 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (*.f64 (sqrt.f64 2) -2)) (*.f64 (sqrt.f64 2) (*.f64 -3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (*.f64 (sqrt.f64 2) 5)) (*.f64 (sqrt.f64 2) (*.f64 4 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 0 (-.f64 x (sqrt.f64 2))) (*.f64 (sqrt.f64 2) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 0 (-.f64 (sqrt.f64 2) x)) (*.f64 (sqrt.f64 2) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) (-.f64 x x)) (*.f64 (sqrt.f64 2) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) (*.f64 x 3)) (*.f64 (sqrt.f64 2) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (sqrt.f64 2) (*.f64 4 x)) (*.f64 x (*.f64 (sqrt.f64 2) -6))) (*.f64 (sqrt.f64 2) (*.f64 -3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (sqrt.f64 2) (*.f64 -3 x)) (*.f64 x (*.f64 (sqrt.f64 2) 8))) (*.f64 (sqrt.f64 2) (*.f64 4 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 (sqrt.f64 2) -2) x) (*.f64 (sqrt.f64 2) (*.f64 -3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 (sqrt.f64 2) 5) x) (*.f64 (sqrt.f64 2) (*.f64 4 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 (sqrt.f64 2) 0) -1) (*.f64 (sqrt.f64 2) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (-.f64 x x) -1) (*.f64 (sqrt.f64 2) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 x 3)) 1/2) (*.f64 1/2 (*.f64 (sqrt.f64 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 2) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 2) (neg.f64 (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 1 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (neg.f64 (/.f64 -1 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 1 x) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 1 (*.f64 (sqrt.f64 2) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (/.f64 -1 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 2)) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x x) (/.f64 (/.f64 1 (sqrt.f64 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (sqrt.f64 2)) (/.f64 (/.f64 1 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 (/.f64 1/2 x) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 (/.f64 1/2 (sqrt.f64 2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 (/.f64 1 x) (*.f64 2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 -1 (-.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) (*.f64 (sqrt.f64 2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 x) (/.f64 1/2 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (sqrt.f64 2)) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (-.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) (*.f64 (sqrt.f64 2) x)) (*.f64 (sqrt.f64 2) (neg.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 4 x) (*.f64 -3 x)) (/.f64 1 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 -3 x) (*.f64 4 x)) (/.f64 1 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) (*.f64 (sqrt.f64 2) x)) 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)))))))

simplify118.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1580×	`rational.json-simplify-63`
1130×	`rational.json-simplify-24`
992×	`rational.json-simplify-1`
464×	`rational.json-simplify-48`
440×	`rational.json-simplify-42`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	323	4572
1	995	2412
2	6521	2406

Stop Event

1×	node limit

Counts

164 → 190

Calls

Call 1

Inputs
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 -3 (sqrt.f64 2))) x)
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 -3 (sqrt.f64 2))) x)
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 -3 (sqrt.f64 2))) x)
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 -3 (sqrt.f64 2))) x)
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 -3 (sqrt.f64 2))) x)
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 -3 (sqrt.f64 2))) x)
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 -3 (sqrt.f64 2))) x)
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 -3 (sqrt.f64 2))) x)
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 -3 (sqrt.f64 2))) x)
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 -3 (sqrt.f64 2))) x)
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 -3 (sqrt.f64 2))) x)
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 -3 (sqrt.f64 2))) x)
(-.f64 (sqrt.f64 2) 0)
(-.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 2) 0))
(-.f64 (.f64 4 (sqrt.f64 2)) (.f64 (sqrt.f64 2) 3))
(-.f64 (.f64 4 (sqrt.f64 2)) (-.f64 (.f64 (sqrt.f64 2) 5) (*.f64 2 (sqrt.f64 2))))
(-.f64 (.f64 4 (sqrt.f64 2)) (-.f64 (.f64 (sqrt.f64 2) 8) (*.f64 (sqrt.f64 2) 5)))
(-.f64 (.f64 (sqrt.f64 2) -3) (.f64 (sqrt.f64 2) -4))
(-.f64 (.f64 (sqrt.f64 2) -3) (-.f64 (.f64 (sqrt.f64 2) -2) (*.f64 2 (sqrt.f64 2))))
(-.f64 (.f64 (sqrt.f64 2) -3) (-.f64 (.f64 (sqrt.f64 2) -6) (*.f64 (sqrt.f64 2) -2)))
(-.f64 0 (neg.f64 (sqrt.f64 2)))
(-.f64 (.f64 (sqrt.f64 2) 3) (.f64 2 (sqrt.f64 2)))
(-.f64 (neg.f64 (sqrt.f64 2)) (/.f64 (*.f64 2 (sqrt.f64 2)) -1))
(-.f64 (neg.f64 (sqrt.f64 2)) (-.f64 0 (*.f64 2 (sqrt.f64 2))))
(-.f64 (neg.f64 (sqrt.f64 2)) (.f64 -1 (.f64 2 (sqrt.f64 2))))
(-.f64 (.f64 (sqrt.f64 2) -4) (-.f64 0 (.f64 (sqrt.f64 2) 5)))
(-.f64 (*.f64 (sqrt.f64 2) 0) (neg.f64 (sqrt.f64 2)))
(-.f64 (*.f64 2 (sqrt.f64 2)) (sqrt.f64 2))
(-.f64 (.f64 (sqrt.f64 2) -2) (.f64 (sqrt.f64 2) -3))
(-.f64 (.f64 (sqrt.f64 2) 5) (.f64 4 (sqrt.f64 2)))
(-.f64 (.f64 (sqrt.f64 2) 13) (.f64 (sqrt.f64 2) 12))
(-.f64 (.f64 (sqrt.f64 2) -8) (.f64 (sqrt.f64 2) -9))
(-.f64 (.f64 (sqrt.f64 2) -9) (-.f64 (.f64 (sqrt.f64 2) -12) (*.f64 (sqrt.f64 2) -2)))
(-.f64 (.f64 (sqrt.f64 2) 12) (-.f64 (.f64 (sqrt.f64 2) 16) (*.f64 (sqrt.f64 2) 5)))
(-.f64 (.f64 (.f64 (sqrt.f64 2) 3) 1/2) (*.f64 1/2 (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) 1)
(*.f64 1 (sqrt.f64 2))
(*.f64 -1 (neg.f64 (sqrt.f64 2)))
(*.f64 (neg.f64 (sqrt.f64 2)) -1)
(.f64 (.f64 2 (sqrt.f64 2)) 1/2)
(.f64 1/2 (.f64 2 (sqrt.f64 2)))
(.f64 1/2 (+.f64 (.f64 (sqrt.f64 2) 8) (*.f64 (sqrt.f64 2) -6)))
(.f64 1/2 (+.f64 (.f64 (sqrt.f64 2) -6) (*.f64 (sqrt.f64 2) 8)))
(.f64 (/.f64 (.f64 2 (sqrt.f64 2)) -1) -1/2)
(.f64 -1/2 (.f64 (sqrt.f64 2) -2))
(.f64 -1/2 (/.f64 (.f64 2 (sqrt.f64 2)) -1))
(.f64 -1/2 (-.f64 0 (.f64 2 (sqrt.f64 2))))
(/.f64 (sqrt.f64 2) 1)
(/.f64 1 (/.f64 1 (sqrt.f64 2)))
(/.f64 -1 (/.f64 -1 (sqrt.f64 2)))
(/.f64 (neg.f64 (sqrt.f64 2)) -1)
(/.f64 1/2 (/.f64 1/2 (sqrt.f64 2)))
(/.f64 (.f64 (/.f64 (.f64 2 (sqrt.f64 2)) -1) 1/2) -1)
(neg.f64 (neg.f64 (sqrt.f64 2)))
(sqrt.f64 2)
(+.f64 (*.f64 (sqrt.f64 2) x) 0)
(+.f64 (.f64 (sqrt.f64 2) x) (.f64 (sqrt.f64 2) 0))
(+.f64 (*.f64 (sqrt.f64 2) x) (-.f64 x x))
(+.f64 (.f64 (sqrt.f64 2) x) (.f64 0 (-.f64 x (sqrt.f64 2))))
(+.f64 (.f64 (sqrt.f64 2) x) (.f64 0 (-.f64 (sqrt.f64 2) x)))
(+.f64 (.f64 (sqrt.f64 2) x) (.f64 (sqrt.f64 2) (-.f64 x x)))
(+.f64 (.f64 (sqrt.f64 2) x) (+.f64 0 (.f64 0 (-.f64 x (sqrt.f64 2)))))
(+.f64 (.f64 (sqrt.f64 2) x) (+.f64 0 (.f64 0 (-.f64 (sqrt.f64 2) x))))
(+.f64 (.f64 (sqrt.f64 2) x) (+.f64 (.f64 (sqrt.f64 2) 0) (*.f64 0 (-.f64 x (sqrt.f64 2)))))
(+.f64 (.f64 (sqrt.f64 2) x) (+.f64 (.f64 (sqrt.f64 2) 0) (*.f64 0 (-.f64 (sqrt.f64 2) x))))
(+.f64 (.f64 (sqrt.f64 2) x) (+.f64 (-.f64 x x) (.f64 0 (-.f64 x (sqrt.f64 2)))))
(+.f64 (.f64 (sqrt.f64 2) x) (+.f64 (-.f64 x x) (.f64 0 (-.f64 (sqrt.f64 2) x))))
(+.f64 (.f64 (sqrt.f64 2) x) (-.f64 (.f64 0 (-.f64 x (sqrt.f64 2))) (*.f64 (sqrt.f64 2) 0)))
(+.f64 (.f64 (sqrt.f64 2) x) (-.f64 (.f64 0 (-.f64 (sqrt.f64 2) x)) (*.f64 (sqrt.f64 2) 0)))
(+.f64 (.f64 (sqrt.f64 2) x) (-.f64 (.f64 0 (-.f64 x (sqrt.f64 2))) (-.f64 x x)))
(+.f64 (.f64 (sqrt.f64 2) x) (-.f64 (.f64 0 (-.f64 (sqrt.f64 2) x)) (-.f64 x x)))
(+.f64 (.f64 (sqrt.f64 2) x) (-.f64 (.f64 0 (-.f64 x (sqrt.f64 2))) (*.f64 (sqrt.f64 2) (-.f64 x x))))
(+.f64 (.f64 (sqrt.f64 2) x) (-.f64 (.f64 0 (-.f64 (sqrt.f64 2) x)) (*.f64 (sqrt.f64 2) (-.f64 x x))))
(+.f64 (.f64 (sqrt.f64 2) x) (.f64 1 (*.f64 0 (-.f64 x (sqrt.f64 2)))))
(+.f64 (.f64 (sqrt.f64 2) x) (.f64 1 (*.f64 0 (-.f64 (sqrt.f64 2) x))))
(+.f64 0 (*.f64 (sqrt.f64 2) x))
(+.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 (sqrt.f64 2) (+.f64 x x)))
(+.f64 (.f64 (sqrt.f64 2) 0) (.f64 (sqrt.f64 2) x))
(+.f64 (-.f64 x x) (*.f64 (sqrt.f64 2) x))
(+.f64 (.f64 (sqrt.f64 2) (.f64 4 x)) (.f64 (sqrt.f64 2) (.f64 -3 x)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 4 x)) (-.f64 (.f64 x (.f64 (sqrt.f64 2) -2)) (*.f64 (sqrt.f64 2) x)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 -3 x)) (.f64 (sqrt.f64 2) (.f64 4 x)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 -3 x)) (-.f64 (.f64 x (.f64 (sqrt.f64 2) 5)) (*.f64 (sqrt.f64 2) x)))
(+.f64 (.f64 (sqrt.f64 2) (+.f64 x x)) (.f64 (sqrt.f64 2) (neg.f64 x)))
(+.f64 (.f64 0 (-.f64 x (sqrt.f64 2))) (.f64 (sqrt.f64 2) x))
(+.f64 (.f64 0 (-.f64 (sqrt.f64 2) x)) (.f64 (sqrt.f64 2) x))
(+.f64 (.f64 (sqrt.f64 2) (-.f64 x x)) (.f64 (sqrt.f64 2) x))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x -12)) (+.f64 (.f64 (sqrt.f64 2) (.f64 4 x)) (.f64 (sqrt.f64 2) (.f64 x 9))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x -12)) (+.f64 (.f64 (sqrt.f64 2) (.f64 -3 x)) (.f64 (sqrt.f64 2) (.f64 x 16))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x -12)) (.f64 x (.f64 (sqrt.f64 2) 13)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x -12)) (/.f64 (*.f64 (sqrt.f64 2) 13) (/.f64 1 x)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 16)) (+.f64 (.f64 (sqrt.f64 2) (.f64 -3 x)) (.f64 (sqrt.f64 2) (.f64 x -12))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 16)) (.f64 x (.f64 (sqrt.f64 2) -15)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 16)) (/.f64 (*.f64 (sqrt.f64 2) -15) (/.f64 1 x)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 9)) (+.f64 (.f64 (sqrt.f64 2) (.f64 4 x)) (.f64 (sqrt.f64 2) (.f64 x -12))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 9)) (.f64 x (.f64 (sqrt.f64 2) -8)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 9)) (/.f64 (*.f64 (sqrt.f64 2) -8) (/.f64 1 x)))
(+.f64 (.f64 x (.f64 (sqrt.f64 2) 8)) (-.f64 (.f64 (sqrt.f64 2) (.f64 -3 x)) (.f64 (sqrt.f64 2) (.f64 4 x))))
(+.f64 (.f64 x (.f64 (sqrt.f64 2) 8)) (.f64 x (.f64 (sqrt.f64 2) -7)))
(+.f64 (.f64 x (.f64 (sqrt.f64 2) 8)) (/.f64 (*.f64 (sqrt.f64 2) -7) (/.f64 1 x)))
(+.f64 (.f64 x (.f64 (sqrt.f64 2) -6)) (-.f64 (.f64 (sqrt.f64 2) (.f64 4 x)) (.f64 (sqrt.f64 2) (.f64 -3 x))))
(+.f64 (.f64 x (.f64 (sqrt.f64 2) -6)) (.f64 x (.f64 (sqrt.f64 2) 7)))
(+.f64 (.f64 x (.f64 (sqrt.f64 2) -6)) (/.f64 (*.f64 (sqrt.f64 2) 7) (/.f64 1 x)))
(+.f64 (.f64 (.f64 (sqrt.f64 2) x) 1/2) (.f64 1/2 (.f64 (sqrt.f64 2) x)))
(+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 4 x)) 1/2) (.f64 1/2 (.f64 x (.f64 (sqrt.f64 2) -2))))
(+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 -3 x)) 1/2) (.f64 1/2 (.f64 x (.f64 (sqrt.f64 2) 5))))
(-.f64 (*.f64 (sqrt.f64 2) x) 0)
(-.f64 (.f64 (sqrt.f64 2) x) (.f64 (sqrt.f64 2) 0))
(-.f64 (*.f64 (sqrt.f64 2) x) (-.f64 x x))
(-.f64 (.f64 (sqrt.f64 2) x) (.f64 0 (-.f64 x (sqrt.f64 2))))
(-.f64 (.f64 (sqrt.f64 2) x) (.f64 0 (-.f64 (sqrt.f64 2) x)))
(-.f64 (.f64 (sqrt.f64 2) x) (.f64 (sqrt.f64 2) (-.f64 x x)))
(-.f64 0 (*.f64 (sqrt.f64 2) (neg.f64 x)))
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (-.f64 0 (.f64 (sqrt.f64 2) (+.f64 x x))))
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (-.f64 (.f64 (sqrt.f64 2) 0) (*.f64 (sqrt.f64 2) (+.f64 x x))))
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (-.f64 (-.f64 x x) (.f64 (sqrt.f64 2) (+.f64 x x))))
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (/.f64 (.f64 (sqrt.f64 2) (+.f64 x x)) -1))
(-.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) (/.f64 (+.f64 x x) (/.f64 -1 (sqrt.f64 2))))
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (/.f64 (.f64 2 (sqrt.f64 2)) (/.f64 -1 x)))
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 (neg.f64 (sqrt.f64 2)) (+.f64 x x)))
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 (neg.f64 x) (*.f64 2 (sqrt.f64 2))))
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 -1 (*.f64 (sqrt.f64 2) (+.f64 x x))))
(-.f64 (.f64 (sqrt.f64 2) 0) (.f64 (sqrt.f64 2) (neg.f64 x)))
(-.f64 (-.f64 x x) (*.f64 (sqrt.f64 2) (neg.f64 x)))
(-.f64 (.f64 (sqrt.f64 2) (.f64 4 x)) (.f64 (sqrt.f64 2) (.f64 x 3)))
(-.f64 (.f64 (sqrt.f64 2) (+.f64 x x)) (.f64 (sqrt.f64 2) x))
(-.f64 (.f64 x (.f64 (sqrt.f64 2) -2)) (.f64 (sqrt.f64 2) (.f64 -3 x)))
(-.f64 (.f64 x (.f64 (sqrt.f64 2) 5)) (.f64 (sqrt.f64 2) (.f64 4 x)))
(-.f64 (.f64 0 (-.f64 x (sqrt.f64 2))) (.f64 (sqrt.f64 2) (neg.f64 x)))
(-.f64 (.f64 0 (-.f64 (sqrt.f64 2) x)) (.f64 (sqrt.f64 2) (neg.f64 x)))
(-.f64 (.f64 (sqrt.f64 2) (-.f64 x x)) (.f64 (sqrt.f64 2) (neg.f64 x)))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x 3)) (*.f64 (sqrt.f64 2) (+.f64 x x)))
(-.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 4 x)) (.f64 x (.f64 (sqrt.f64 2) -6))) (.f64 (sqrt.f64 2) (.f64 -3 x)))
(-.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 -3 x)) (.f64 x (.f64 (sqrt.f64 2) 8))) (.f64 (sqrt.f64 2) (.f64 4 x)))
(-.f64 (.f64 (.f64 (sqrt.f64 2) -2) x) (.f64 (sqrt.f64 2) (.f64 -3 x)))
(-.f64 (.f64 (.f64 (sqrt.f64 2) 5) x) (.f64 (sqrt.f64 2) (.f64 4 x)))
(-.f64 (.f64 (.f64 (sqrt.f64 2) 0) -1) (*.f64 (sqrt.f64 2) (neg.f64 x)))
(-.f64 (.f64 (-.f64 x x) -1) (.f64 (sqrt.f64 2) (neg.f64 x)))
(-.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 x 3)) 1/2) (.f64 1/2 (*.f64 (sqrt.f64 2) x)))
(/.f64 (sqrt.f64 2) (/.f64 1 x))
(/.f64 (sqrt.f64 2) (neg.f64 (/.f64 -1 x)))
(/.f64 x (/.f64 1 (sqrt.f64 2)))
(/.f64 x (neg.f64 (/.f64 -1 (sqrt.f64 2))))
(/.f64 (*.f64 (sqrt.f64 2) x) 1)
(/.f64 1 (/.f64 (/.f64 1 x) (sqrt.f64 2)))
(/.f64 -1 (/.f64 1 (*.f64 (sqrt.f64 2) (neg.f64 x))))
(/.f64 (neg.f64 x) (/.f64 -1 (sqrt.f64 2)))
(/.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) -1)
(/.f64 (neg.f64 (sqrt.f64 2)) (/.f64 -1 x))
(/.f64 (+.f64 x x) (/.f64 (/.f64 1 (sqrt.f64 2)) 1/2))
(/.f64 (*.f64 2 (sqrt.f64 2)) (/.f64 (/.f64 1 x) 1/2))
(/.f64 1/2 (/.f64 (/.f64 1/2 x) (sqrt.f64 2)))
(/.f64 1/2 (/.f64 (/.f64 1/2 (sqrt.f64 2)) x))
(/.f64 1/2 (/.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 x x)))
(/.f64 1/2 (/.f64 (/.f64 1 x) (*.f64 2 (sqrt.f64 2))))
(/.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (+.f64 x x))))
(/.f64 1/2 (/.f64 -1 (-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 (sqrt.f64 2) x))))
(/.f64 (*.f64 1/2 x) (/.f64 1/2 (sqrt.f64 2)))
(/.f64 (*.f64 1/2 (sqrt.f64 2)) (/.f64 1/2 x))
(/.f64 (-.f64 (-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 (sqrt.f64 2) x)) (*.f64 (sqrt.f64 2) (neg.f64 x))) -1)
(/.f64 (+.f64 (.f64 4 x) (.f64 -3 x)) (/.f64 1 (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 -3 x) (.f64 4 x)) (/.f64 1 (sqrt.f64 2)))
(/.f64 (.f64 (-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (*.f64 (sqrt.f64 2) x)) 1/2) -1)
(neg.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)))

Outputs
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 -3 (sqrt.f64 2))) x)
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 -3 (sqrt.f64 2))) x)
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 -3 (sqrt.f64 2))) x)
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 -3 (sqrt.f64 2))) x)
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 -3 (sqrt.f64 2))) x)
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 -3 (sqrt.f64 2))) x)
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 -3 (sqrt.f64 2))) x)
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 -3 (sqrt.f64 2))) x)
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 -3 (sqrt.f64 2))) x)
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 -3 (sqrt.f64 2))) x)
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 -3 (sqrt.f64 2))) x)
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 -3 (sqrt.f64 2))) x)
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(-.f64 (sqrt.f64 2) 0)
(sqrt.f64 2)
(-.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 2) 0))
(sqrt.f64 2)
(-.f64 (.f64 4 (sqrt.f64 2)) (.f64 (sqrt.f64 2) 3))
(sqrt.f64 2)
(-.f64 (.f64 4 (sqrt.f64 2)) (-.f64 (.f64 (sqrt.f64 2) 5) (*.f64 2 (sqrt.f64 2))))
(sqrt.f64 2)
(-.f64 (.f64 4 (sqrt.f64 2)) (-.f64 (.f64 (sqrt.f64 2) 8) (*.f64 (sqrt.f64 2) 5)))
(sqrt.f64 2)
(-.f64 (.f64 (sqrt.f64 2) -3) (.f64 (sqrt.f64 2) -4))
(sqrt.f64 2)
(-.f64 (.f64 (sqrt.f64 2) -3) (-.f64 (.f64 (sqrt.f64 2) -2) (*.f64 2 (sqrt.f64 2))))
(sqrt.f64 2)
(-.f64 (.f64 (sqrt.f64 2) -3) (-.f64 (.f64 (sqrt.f64 2) -6) (*.f64 (sqrt.f64 2) -2)))
(sqrt.f64 2)
(-.f64 0 (neg.f64 (sqrt.f64 2)))
(sqrt.f64 2)
(-.f64 (.f64 (sqrt.f64 2) 3) (.f64 2 (sqrt.f64 2)))
(sqrt.f64 2)
(-.f64 (neg.f64 (sqrt.f64 2)) (/.f64 (*.f64 2 (sqrt.f64 2)) -1))
(sqrt.f64 2)
(-.f64 (neg.f64 (sqrt.f64 2)) (-.f64 0 (*.f64 2 (sqrt.f64 2))))
(sqrt.f64 2)
(-.f64 (neg.f64 (sqrt.f64 2)) (.f64 -1 (.f64 2 (sqrt.f64 2))))
(sqrt.f64 2)
(-.f64 (.f64 (sqrt.f64 2) -4) (-.f64 0 (.f64 (sqrt.f64 2) 5)))
(sqrt.f64 2)
(-.f64 (*.f64 (sqrt.f64 2) 0) (neg.f64 (sqrt.f64 2)))
(sqrt.f64 2)
(-.f64 (*.f64 2 (sqrt.f64 2)) (sqrt.f64 2))
(sqrt.f64 2)
(-.f64 (.f64 (sqrt.f64 2) -2) (.f64 (sqrt.f64 2) -3))
(sqrt.f64 2)
(-.f64 (.f64 (sqrt.f64 2) 5) (.f64 4 (sqrt.f64 2)))
(sqrt.f64 2)
(-.f64 (.f64 (sqrt.f64 2) 13) (.f64 (sqrt.f64 2) 12))
(sqrt.f64 2)
(-.f64 (.f64 (sqrt.f64 2) -8) (.f64 (sqrt.f64 2) -9))
(sqrt.f64 2)
(-.f64 (.f64 (sqrt.f64 2) -9) (-.f64 (.f64 (sqrt.f64 2) -12) (*.f64 (sqrt.f64 2) -2)))
(sqrt.f64 2)
(-.f64 (.f64 (sqrt.f64 2) 12) (-.f64 (.f64 (sqrt.f64 2) 16) (*.f64 (sqrt.f64 2) 5)))
(sqrt.f64 2)
(-.f64 (.f64 (.f64 (sqrt.f64 2) 3) 1/2) (*.f64 1/2 (sqrt.f64 2)))
(sqrt.f64 2)
(*.f64 (sqrt.f64 2) 1)
(sqrt.f64 2)
(*.f64 1 (sqrt.f64 2))
(sqrt.f64 2)
(*.f64 -1 (neg.f64 (sqrt.f64 2)))
(sqrt.f64 2)
(*.f64 (neg.f64 (sqrt.f64 2)) -1)
(sqrt.f64 2)
(.f64 (.f64 2 (sqrt.f64 2)) 1/2)
(sqrt.f64 2)
(.f64 1/2 (.f64 2 (sqrt.f64 2)))
(sqrt.f64 2)
(.f64 1/2 (+.f64 (.f64 (sqrt.f64 2) 8) (*.f64 (sqrt.f64 2) -6)))
(sqrt.f64 2)
(.f64 1/2 (+.f64 (.f64 (sqrt.f64 2) -6) (*.f64 (sqrt.f64 2) 8)))
(sqrt.f64 2)
(.f64 (/.f64 (.f64 2 (sqrt.f64 2)) -1) -1/2)
(sqrt.f64 2)
(.f64 -1/2 (.f64 (sqrt.f64 2) -2))
(sqrt.f64 2)
(.f64 -1/2 (/.f64 (.f64 2 (sqrt.f64 2)) -1))
(sqrt.f64 2)
(.f64 -1/2 (-.f64 0 (.f64 2 (sqrt.f64 2))))
(sqrt.f64 2)
(/.f64 (sqrt.f64 2) 1)
(sqrt.f64 2)
(/.f64 1 (/.f64 1 (sqrt.f64 2)))
(sqrt.f64 2)
(/.f64 -1 (/.f64 -1 (sqrt.f64 2)))
(sqrt.f64 2)
(/.f64 (neg.f64 (sqrt.f64 2)) -1)
(sqrt.f64 2)
(/.f64 1/2 (/.f64 1/2 (sqrt.f64 2)))
(sqrt.f64 2)
(/.f64 (.f64 (/.f64 (.f64 2 (sqrt.f64 2)) -1) 1/2) -1)
(sqrt.f64 2)
(neg.f64 (neg.f64 (sqrt.f64 2)))
(sqrt.f64 2)
(sqrt.f64 2)
(+.f64 (*.f64 (sqrt.f64 2) x) 0)
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(+.f64 (.f64 (sqrt.f64 2) x) (.f64 (sqrt.f64 2) 0))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(+.f64 (*.f64 (sqrt.f64 2) x) (-.f64 x x))
(+.f64 x (-.f64 (*.f64 (sqrt.f64 2) x) x))
(+.f64 (.f64 (sqrt.f64 2) x) (.f64 0 (-.f64 x (sqrt.f64 2))))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(+.f64 (.f64 (sqrt.f64 2) x) (.f64 0 (-.f64 (sqrt.f64 2) x)))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(+.f64 (.f64 (sqrt.f64 2) x) (.f64 (sqrt.f64 2) (-.f64 x x)))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(+.f64 (.f64 (sqrt.f64 2) x) (+.f64 0 (.f64 0 (-.f64 x (sqrt.f64 2)))))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(+.f64 (.f64 (sqrt.f64 2) x) (+.f64 0 (.f64 0 (-.f64 (sqrt.f64 2) x))))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(+.f64 (.f64 (sqrt.f64 2) x) (+.f64 (.f64 (sqrt.f64 2) 0) (*.f64 0 (-.f64 x (sqrt.f64 2)))))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(+.f64 (.f64 (sqrt.f64 2) x) (+.f64 (.f64 (sqrt.f64 2) 0) (*.f64 0 (-.f64 (sqrt.f64 2) x))))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(+.f64 (.f64 (sqrt.f64 2) x) (+.f64 (-.f64 x x) (.f64 0 (-.f64 x (sqrt.f64 2)))))
(+.f64 x (-.f64 (*.f64 (sqrt.f64 2) x) x))
(+.f64 (.f64 (sqrt.f64 2) x) (+.f64 (-.f64 x x) (.f64 0 (-.f64 (sqrt.f64 2) x))))
(+.f64 x (-.f64 (*.f64 (sqrt.f64 2) x) x))
(+.f64 (.f64 (sqrt.f64 2) x) (-.f64 (.f64 0 (-.f64 x (sqrt.f64 2))) (*.f64 (sqrt.f64 2) 0)))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(+.f64 (.f64 (sqrt.f64 2) x) (-.f64 (.f64 0 (-.f64 (sqrt.f64 2) x)) (*.f64 (sqrt.f64 2) 0)))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(+.f64 (.f64 (sqrt.f64 2) x) (-.f64 (.f64 0 (-.f64 x (sqrt.f64 2))) (-.f64 x x)))
(+.f64 (.f64 0 (-.f64 x (sqrt.f64 2))) (-.f64 (.f64 (sqrt.f64 2) x) (-.f64 x x)))
(-.f64 (*.f64 (sqrt.f64 2) x) (-.f64 x x))
(+.f64 (.f64 (sqrt.f64 2) x) (-.f64 (.f64 0 (-.f64 (sqrt.f64 2) x)) (-.f64 x x)))
(+.f64 (.f64 0 (-.f64 x (sqrt.f64 2))) (-.f64 (.f64 (sqrt.f64 2) x) (-.f64 x x)))
(-.f64 (*.f64 (sqrt.f64 2) x) (-.f64 x x))
(+.f64 (.f64 (sqrt.f64 2) x) (-.f64 (.f64 0 (-.f64 x (sqrt.f64 2))) (*.f64 (sqrt.f64 2) (-.f64 x x))))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(+.f64 (.f64 (sqrt.f64 2) x) (-.f64 (.f64 0 (-.f64 (sqrt.f64 2) x)) (*.f64 (sqrt.f64 2) (-.f64 x x))))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(+.f64 (.f64 (sqrt.f64 2) x) (.f64 1 (*.f64 0 (-.f64 x (sqrt.f64 2)))))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(+.f64 (.f64 (sqrt.f64 2) x) (.f64 1 (*.f64 0 (-.f64 (sqrt.f64 2) x))))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(+.f64 0 (*.f64 (sqrt.f64 2) x))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(+.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 (sqrt.f64 2) (+.f64 x x)))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(+.f64 (.f64 (sqrt.f64 2) 0) (.f64 (sqrt.f64 2) x))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(+.f64 (-.f64 x x) (*.f64 (sqrt.f64 2) x))
(+.f64 x (-.f64 (*.f64 (sqrt.f64 2) x) x))
(+.f64 (.f64 (sqrt.f64 2) (.f64 4 x)) (.f64 (sqrt.f64 2) (.f64 -3 x)))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(+.f64 (.f64 (sqrt.f64 2) (.f64 4 x)) (-.f64 (.f64 x (.f64 (sqrt.f64 2) -2)) (*.f64 (sqrt.f64 2) x)))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(+.f64 (.f64 (sqrt.f64 2) (.f64 -3 x)) (.f64 (sqrt.f64 2) (.f64 4 x)))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(+.f64 (.f64 (sqrt.f64 2) (.f64 -3 x)) (-.f64 (.f64 x (.f64 (sqrt.f64 2) 5)) (*.f64 (sqrt.f64 2) x)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 -3 x)) (-.f64 (.f64 (sqrt.f64 2) (.f64 x 5)) (*.f64 (sqrt.f64 2) x)))
(-.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -3 x) (.f64 x 5))) (.f64 (sqrt.f64 2) x))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 5)) (.f64 x (.f64 (sqrt.f64 2) -4)))
(+.f64 (.f64 (sqrt.f64 2) (+.f64 x x)) (.f64 (sqrt.f64 2) (neg.f64 x)))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(+.f64 (.f64 0 (-.f64 x (sqrt.f64 2))) (.f64 (sqrt.f64 2) x))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(+.f64 (.f64 0 (-.f64 (sqrt.f64 2) x)) (.f64 (sqrt.f64 2) x))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(+.f64 (.f64 (sqrt.f64 2) (-.f64 x x)) (.f64 (sqrt.f64 2) x))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(+.f64 (.f64 (sqrt.f64 2) (.f64 x -12)) (+.f64 (.f64 (sqrt.f64 2) (.f64 4 x)) (.f64 (sqrt.f64 2) (.f64 x 9))))
(+.f64 (.f64 4 (.f64 (sqrt.f64 2) x)) (+.f64 (.f64 (sqrt.f64 2) (.f64 x -12)) (.f64 (sqrt.f64 2) (.f64 x 9))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x -12)) (.f64 (sqrt.f64 2) (+.f64 (.f64 4 x) (*.f64 x 9))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x -12)) (+.f64 (.f64 (sqrt.f64 2) (.f64 -3 x)) (.f64 (sqrt.f64 2) (.f64 x 16))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 -3 x)) (+.f64 (.f64 (sqrt.f64 2) (.f64 x -12)) (.f64 (sqrt.f64 2) (.f64 x 16))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 -3 x)) (.f64 (sqrt.f64 2) (+.f64 (.f64 x -12) (*.f64 x 16))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x -12)) (.f64 x (.f64 (sqrt.f64 2) 13)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x -12)) (.f64 (sqrt.f64 2) (.f64 x 13)))
(.f64 (sqrt.f64 2) (+.f64 (.f64 x -12) (*.f64 x 13)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x -12)) (/.f64 (*.f64 (sqrt.f64 2) 13) (/.f64 1 x)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x -12)) (.f64 (sqrt.f64 2) (.f64 x 13)))
(.f64 (sqrt.f64 2) (+.f64 (.f64 x -12) (*.f64 x 13)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 16)) (+.f64 (.f64 (sqrt.f64 2) (.f64 -3 x)) (.f64 (sqrt.f64 2) (.f64 x -12))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 -3 x)) (+.f64 (.f64 (sqrt.f64 2) (.f64 x -12)) (.f64 (sqrt.f64 2) (.f64 x 16))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 -3 x)) (.f64 (sqrt.f64 2) (+.f64 (.f64 x -12) (*.f64 x 16))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 16)) (.f64 x (.f64 (sqrt.f64 2) -15)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 16)) (.f64 (sqrt.f64 2) (.f64 x -15)))
(.f64 (sqrt.f64 2) (+.f64 (.f64 x 16) (*.f64 x -15)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 16)) (/.f64 (*.f64 (sqrt.f64 2) -15) (/.f64 1 x)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 16)) (.f64 (sqrt.f64 2) (.f64 x -15)))
(.f64 (sqrt.f64 2) (+.f64 (.f64 x 16) (*.f64 x -15)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 9)) (+.f64 (.f64 (sqrt.f64 2) (.f64 4 x)) (.f64 (sqrt.f64 2) (.f64 x -12))))
(+.f64 (.f64 4 (.f64 (sqrt.f64 2) x)) (+.f64 (.f64 (sqrt.f64 2) (.f64 x -12)) (.f64 (sqrt.f64 2) (.f64 x 9))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x -12)) (.f64 (sqrt.f64 2) (+.f64 (.f64 4 x) (*.f64 x 9))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 9)) (.f64 x (.f64 (sqrt.f64 2) -8)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 9)) (.f64 (sqrt.f64 2) (.f64 x -8)))
(.f64 (sqrt.f64 2) (+.f64 (.f64 x 9) (*.f64 x -8)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 9)) (/.f64 (*.f64 (sqrt.f64 2) -8) (/.f64 1 x)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 9)) (.f64 (sqrt.f64 2) (.f64 x -8)))
(.f64 (sqrt.f64 2) (+.f64 (.f64 x 9) (*.f64 x -8)))
(+.f64 (.f64 x (.f64 (sqrt.f64 2) 8)) (-.f64 (.f64 (sqrt.f64 2) (.f64 -3 x)) (.f64 (sqrt.f64 2) (.f64 4 x))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 -3 x)) (-.f64 (.f64 (sqrt.f64 2) (.f64 x 8)) (.f64 4 (.f64 (sqrt.f64 2) x))))
(-.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -3 x) (.f64 x 8))) (.f64 4 (*.f64 (sqrt.f64 2) x)))
(+.f64 (.f64 x (.f64 (sqrt.f64 2) 8)) (.f64 x (.f64 (sqrt.f64 2) -7)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 8)) (.f64 (sqrt.f64 2) (.f64 x -7)))
(.f64 x (+.f64 (.f64 (sqrt.f64 2) -7) (*.f64 (sqrt.f64 2) 8)))
(+.f64 (.f64 x (.f64 (sqrt.f64 2) 8)) (/.f64 (*.f64 (sqrt.f64 2) -7) (/.f64 1 x)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 8)) (.f64 (sqrt.f64 2) (.f64 x -7)))
(.f64 x (+.f64 (.f64 (sqrt.f64 2) -7) (*.f64 (sqrt.f64 2) 8)))
(+.f64 (.f64 x (.f64 (sqrt.f64 2) -6)) (-.f64 (.f64 (sqrt.f64 2) (.f64 4 x)) (.f64 (sqrt.f64 2) (.f64 -3 x))))
(+.f64 (.f64 4 (.f64 (sqrt.f64 2) x)) (-.f64 (.f64 (sqrt.f64 2) (.f64 x -6)) (.f64 (sqrt.f64 2) (.f64 -3 x))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x -6)) (.f64 (sqrt.f64 2) (-.f64 (.f64 4 x) (*.f64 -3 x))))
(+.f64 (.f64 x (.f64 (sqrt.f64 2) -6)) (.f64 x (.f64 (sqrt.f64 2) 7)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x -6)) (.f64 (sqrt.f64 2) (.f64 x 7)))
(.f64 x (+.f64 (.f64 (sqrt.f64 2) -6) (*.f64 (sqrt.f64 2) 7)))
(+.f64 (.f64 x (.f64 (sqrt.f64 2) -6)) (/.f64 (*.f64 (sqrt.f64 2) 7) (/.f64 1 x)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x -6)) (.f64 (sqrt.f64 2) (.f64 x 7)))
(.f64 x (+.f64 (.f64 (sqrt.f64 2) -6) (*.f64 (sqrt.f64 2) 7)))
(+.f64 (.f64 (.f64 (sqrt.f64 2) x) 1/2) (.f64 1/2 (.f64 (sqrt.f64 2) x)))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 4 x)) 1/2) (.f64 1/2 (.f64 x (.f64 (sqrt.f64 2) -2))))
(.f64 1/2 (+.f64 (.f64 4 (.f64 (sqrt.f64 2) x)) (.f64 (sqrt.f64 2) (*.f64 x -2))))
(.f64 1/2 (.f64 (sqrt.f64 2) (+.f64 (.f64 4 x) (.f64 x -2))))
(+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 -3 x)) 1/2) (.f64 1/2 (.f64 x (.f64 (sqrt.f64 2) 5))))
(.f64 1/2 (+.f64 (.f64 (sqrt.f64 2) (.f64 -3 x)) (.f64 (sqrt.f64 2) (*.f64 x 5))))
(.f64 1/2 (.f64 (sqrt.f64 2) (+.f64 (.f64 -3 x) (.f64 x 5))))
(-.f64 (*.f64 (sqrt.f64 2) x) 0)
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(-.f64 (.f64 (sqrt.f64 2) x) (.f64 (sqrt.f64 2) 0))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(-.f64 (*.f64 (sqrt.f64 2) x) (-.f64 x x))
(+.f64 (.f64 0 (-.f64 x (sqrt.f64 2))) (-.f64 (.f64 (sqrt.f64 2) x) (-.f64 x x)))
(-.f64 (.f64 (sqrt.f64 2) x) (.f64 0 (-.f64 x (sqrt.f64 2))))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(-.f64 (.f64 (sqrt.f64 2) x) (.f64 0 (-.f64 (sqrt.f64 2) x)))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(-.f64 (.f64 (sqrt.f64 2) x) (.f64 (sqrt.f64 2) (-.f64 x x)))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(-.f64 0 (*.f64 (sqrt.f64 2) (neg.f64 x)))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (-.f64 0 (.f64 (sqrt.f64 2) (+.f64 x x))))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (-.f64 (.f64 (sqrt.f64 2) 0) (*.f64 (sqrt.f64 2) (+.f64 x x))))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (-.f64 (-.f64 x x) (.f64 (sqrt.f64 2) (+.f64 x x))))
(-.f64 x (-.f64 (-.f64 x (.f64 2 (.f64 (sqrt.f64 2) x))) (*.f64 (sqrt.f64 2) (neg.f64 x))))
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (/.f64 (.f64 (sqrt.f64 2) (+.f64 x x)) -1))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(-.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) (/.f64 (+.f64 x x) (/.f64 -1 (sqrt.f64 2))))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (/.f64 (.f64 2 (sqrt.f64 2)) (/.f64 -1 x)))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 (neg.f64 (sqrt.f64 2)) (+.f64 x x)))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 (neg.f64 x) (*.f64 2 (sqrt.f64 2))))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 -1 (*.f64 (sqrt.f64 2) (+.f64 x x))))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(-.f64 (.f64 (sqrt.f64 2) 0) (.f64 (sqrt.f64 2) (neg.f64 x)))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(-.f64 (-.f64 x x) (*.f64 (sqrt.f64 2) (neg.f64 x)))
(-.f64 (.f64 (sqrt.f64 2) (.f64 4 x)) (.f64 (sqrt.f64 2) (.f64 x 3)))
(-.f64 (.f64 4 (.f64 (sqrt.f64 2) x)) (.f64 (sqrt.f64 2) (.f64 x 3)))
(.f64 (sqrt.f64 2) (-.f64 (.f64 4 x) (*.f64 x 3)))
(-.f64 (.f64 (sqrt.f64 2) (+.f64 x x)) (.f64 (sqrt.f64 2) x))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(-.f64 (.f64 x (.f64 (sqrt.f64 2) -2)) (.f64 (sqrt.f64 2) (.f64 -3 x)))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(-.f64 (.f64 x (.f64 (sqrt.f64 2) 5)) (.f64 (sqrt.f64 2) (.f64 4 x)))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x 5)) (.f64 4 (.f64 (sqrt.f64 2) x)))
(-.f64 (.f64 0 (-.f64 x (sqrt.f64 2))) (.f64 (sqrt.f64 2) (neg.f64 x)))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(-.f64 (.f64 0 (-.f64 (sqrt.f64 2) x)) (.f64 (sqrt.f64 2) (neg.f64 x)))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(-.f64 (.f64 (sqrt.f64 2) (-.f64 x x)) (.f64 (sqrt.f64 2) (neg.f64 x)))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(-.f64 (.f64 (sqrt.f64 2) (.f64 x 3)) (*.f64 (sqrt.f64 2) (+.f64 x x)))
(.f64 (sqrt.f64 2) (-.f64 (.f64 x 3) (+.f64 x x)))
(-.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 4 x)) (.f64 x (.f64 (sqrt.f64 2) -6))) (.f64 (sqrt.f64 2) (.f64 -3 x)))
(+.f64 (.f64 4 (.f64 (sqrt.f64 2) x)) (-.f64 (.f64 (sqrt.f64 2) (.f64 x -6)) (.f64 (sqrt.f64 2) (.f64 -3 x))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x -6)) (.f64 (sqrt.f64 2) (-.f64 (.f64 4 x) (*.f64 -3 x))))
(-.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 -3 x)) (.f64 x (.f64 (sqrt.f64 2) 8))) (.f64 (sqrt.f64 2) (.f64 4 x)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 -3 x)) (-.f64 (.f64 (sqrt.f64 2) (.f64 x 8)) (.f64 4 (.f64 (sqrt.f64 2) x))))
(-.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -3 x) (.f64 x 8))) (.f64 4 (*.f64 (sqrt.f64 2) x)))
(-.f64 (.f64 (.f64 (sqrt.f64 2) -2) x) (.f64 (sqrt.f64 2) (.f64 -3 x)))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(-.f64 (.f64 (.f64 (sqrt.f64 2) 5) x) (.f64 (sqrt.f64 2) (.f64 4 x)))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x 5)) (.f64 4 (.f64 (sqrt.f64 2) x)))
(-.f64 (.f64 (.f64 (sqrt.f64 2) 0) -1) (*.f64 (sqrt.f64 2) (neg.f64 x)))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(-.f64 (.f64 (-.f64 x x) -1) (.f64 (sqrt.f64 2) (neg.f64 x)))
(-.f64 (neg.f64 (-.f64 x x)) (*.f64 (sqrt.f64 2) (neg.f64 x)))
(-.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 x 3)) 1/2) (.f64 1/2 (*.f64 (sqrt.f64 2) x)))
(.f64 1/2 (-.f64 (.f64 (sqrt.f64 2) (.f64 x 3)) (.f64 (sqrt.f64 2) x)))
(.f64 1/2 (.f64 (sqrt.f64 2) (-.f64 (*.f64 x 3) x)))
(/.f64 (sqrt.f64 2) (/.f64 1 x))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(/.f64 (sqrt.f64 2) (neg.f64 (/.f64 -1 x)))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(/.f64 x (/.f64 1 (sqrt.f64 2)))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(/.f64 x (neg.f64 (/.f64 -1 (sqrt.f64 2))))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(/.f64 (*.f64 (sqrt.f64 2) x) 1)
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(/.f64 1 (/.f64 (/.f64 1 x) (sqrt.f64 2)))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(/.f64 -1 (/.f64 1 (*.f64 (sqrt.f64 2) (neg.f64 x))))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(/.f64 (neg.f64 x) (/.f64 -1 (sqrt.f64 2)))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(/.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) -1)
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(/.f64 (neg.f64 (sqrt.f64 2)) (/.f64 -1 x))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(/.f64 (+.f64 x x) (/.f64 (/.f64 1 (sqrt.f64 2)) 1/2))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(/.f64 (*.f64 2 (sqrt.f64 2)) (/.f64 (/.f64 1 x) 1/2))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(/.f64 1/2 (/.f64 (/.f64 1/2 x) (sqrt.f64 2)))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(/.f64 1/2 (/.f64 (/.f64 1/2 (sqrt.f64 2)) x))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(/.f64 1/2 (/.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 x x)))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(/.f64 1/2 (/.f64 (/.f64 1 x) (*.f64 2 (sqrt.f64 2))))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(/.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (+.f64 x x))))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(/.f64 1/2 (/.f64 -1 (-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 (sqrt.f64 2) x))))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(/.f64 (*.f64 1/2 x) (/.f64 1/2 (sqrt.f64 2)))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(/.f64 (*.f64 1/2 (sqrt.f64 2)) (/.f64 1/2 x))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(/.f64 (-.f64 (-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 (sqrt.f64 2) x)) (*.f64 (sqrt.f64 2) (neg.f64 x))) -1)
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(/.f64 (+.f64 (.f64 4 x) (.f64 -3 x)) (/.f64 1 (sqrt.f64 2)))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(/.f64 (+.f64 (.f64 -3 x) (.f64 4 x)) (/.f64 1 (sqrt.f64 2)))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(/.f64 (.f64 (-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (*.f64 (sqrt.f64 2) x)) 1/2) -1)
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)
(neg.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(*.f64 (sqrt.f64 2) x)

eval521.0ms (8.8%)

Compiler: Compiled 16811 to 13291 computations (20.9% saved)

prune291.0ms (4.9%)

Pruning

16 alts after pruning (6 fresh and 10 done)

	Pruned	Kept	Total
New	1159	3	1162
Fresh	7	3	10
Picked	0	1	1
Done	3	9	12
Total	1169	16	1185

Error

Counts

1185 → 16

Alt Table

Click to see full alt table

Status	Error	Program
	30.3b	(/.f64 (-.f64 (.f64 (sqrt.f64 2) -5) (.f64 (sqrt.f64 2) -4)) (/.f64 -1 x))
	30.5b	(/.f64 (-.f64 (.f64 x 3) (.f64 4 x)) (/.f64 -1 (sqrt.f64 2)))
✓	30.2b	(/.f64 (sqrt.f64 2) (/.f64 1 x))
✓	32.7b	(/.f64 (sqrt.f64 2) (/.f64 -1 x))
✓	30.2b	(/.f64 1 (/.f64 (/.f64 1 x) (sqrt.f64 2)))
	32.7b	(/.f64 1 (/.f64 (/.f64 -1 x) (sqrt.f64 2)))
	30.3b	(/.f64 1/2 (/.f64 (/.f64 1/2 (sqrt.f64 2)) x))
	32.7b	(+.f64 x (*.f64 x (-.f64 -1 (sqrt.f64 2))))
✓	30.3b	(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
✓	30.4b	(.f64 (+.f64 (.f64 4 x) (*.f64 -3 x)) (sqrt.f64 2))
✓	30.4b	(.f64 (sqrt.f64 2) (-.f64 (.f64 x 3) (*.f64 2 x)))
✓	32.7b	(*.f64 (sqrt.f64 2) (neg.f64 x))
✓	30.2b	(*.f64 (sqrt.f64 2) x)
	32.7b	(*.f64 (neg.f64 x) (+.f64 -1 (+.f64 (sqrt.f64 2) 1)))
✓	28.7b	(sqrt.f64 (/.f64 x (/.f64 1/2 x)))
✓	28.7b	(sqrt.f64 (.f64 2 (.f64 x x)))

Compiler

Compiled 146 to 124 computations (15.1% saved)

regimes130.0ms (2.2%)

Counts

34 → 2

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) (neg.f64 x))
(sqrt.f64 (.f64 2 (.f64 x x)))
(sqrt.f64 (/.f64 x (/.f64 1/2 x)))
(/.f64 (sqrt.f64 2) (/.f64 -1 x))
(/.f64 (sqrt.f64 2) (/.f64 1 x))
(sqrt.f64 (.f64 x (-.f64 (.f64 x 3) x)))
(.f64 (.f64 (sqrt.f64 2) (*.f64 x -1/2)) 2)
(+.f64 x (*.f64 x (-.f64 -1 (sqrt.f64 2))))
(/.f64 1/2 (/.f64 (/.f64 -1/2 x) (sqrt.f64 2)))
(/.f64 1/2 (/.f64 (/.f64 1/2 (sqrt.f64 2)) x))
(/.f64 1 (/.f64 (/.f64 -1 x) (sqrt.f64 2)))
(/.f64 1 (/.f64 (/.f64 1 x) (sqrt.f64 2)))
(*.f64 (neg.f64 x) (+.f64 -1 (+.f64 (sqrt.f64 2) 1)))
(+.f64 x (-.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) x))
(sqrt.f64 (.f64 x (-.f64 (.f64 x -6) (*.f64 x -8))))
(.f64 (sqrt.f64 2) (-.f64 (.f64 x -4) (*.f64 x -3)))
(.f64 (sqrt.f64 2) (-.f64 (.f64 x -3) (*.f64 x -2)))
(.f64 (sqrt.f64 2) (-.f64 (.f64 x 3) (*.f64 2 x)))
(.f64 (sqrt.f64 2) (-.f64 (.f64 x 3) (*.f64 4 x)))
(.f64 (.f64 (sqrt.f64 2) 1/2) (-.f64 x (*.f64 x 3)))
(.f64 (+.f64 (.f64 4 x) (*.f64 -3 x)) (sqrt.f64 2))
(sqrt.f64 (+.f64 (.f64 x (.f64 x 8)) (.f64 (.f64 x x) -6)))
(.f64 (sqrt.f64 2) (-.f64 (+.f64 x (.f64 x 3)) (*.f64 x 3)))
(/.f64 (-.f64 (.f64 x 3) (.f64 4 x)) (/.f64 -1 (sqrt.f64 2)))
(/.f64 (-.f64 (.f64 x 3) (-.f64 x (.f64 x -3))) (/.f64 1 (sqrt.f64 2)))
(/.f64 (-.f64 (+.f64 x (.f64 x 3)) (.f64 x 3)) (/.f64 1 (sqrt.f64 2)))
(.f64 (+.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)) x)
(.f64 x (-.f64 (.f64 (sqrt.f64 2) 4) (neg.f64 (*.f64 (sqrt.f64 2) -3))))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x -3/2)) (*.f64 (sqrt.f64 2) (/.f64 x -2)))
(/.f64 x (/.f64 1 (-.f64 (.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 2) 3))))
(/.f64 (-.f64 (.f64 (sqrt.f64 2) -5) (.f64 (sqrt.f64 2) -4)) (/.f64 -1 x))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x -4)) (neg.f64 (.f64 (sqrt.f64 2) (.f64 x -3))))
(/.f64 (-.f64 (neg.f64 (.f64 (sqrt.f64 2) 3)) (neg.f64 (.f64 2 (*.f64 2 (sqrt.f64 2))))) (/.f64 -1 x))

Outputs
(.f64 (.f64 (sqrt.f64 2) (*.f64 x -1/2)) 2)
(/.f64 (sqrt.f64 2) (/.f64 1 x))

Calls

4 calls:

37.0ms	(.f64 2 (.f64 x x))
31.0ms	x
26.0ms	(*.f64 x x)
26.0ms	(sqrt.f64 (.f64 2 (.f64 x x)))

Results

Error	Segments	Branch
0.4b	2	`x`
13.4b	3	`(sqrt.f64 (.f64 2 (.f64 x x)))`
13.4b	3	`(.f64 2 (.f64 x x))`
13.4b	3	`(*.f64 x x)`

Compiler

Compiled 354 to 283 computations (20.1% saved)

bsearch15.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
15.0ms	-2.03511748368603e-308	6.7246825924518646e-304

Results

13.0ms

144×

body

256

valid

Compiler

Compiled 173 to 152 computations (12.1% saved)

regimes47.0ms (0.8%)

Counts

7 → 2

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) (neg.f64 x))
(sqrt.f64 (.f64 2 (.f64 x x)))
(sqrt.f64 (/.f64 x (/.f64 1/2 x)))
(/.f64 (sqrt.f64 2) (/.f64 -1 x))
(/.f64 (sqrt.f64 2) (/.f64 1 x))
(sqrt.f64 (.f64 x (-.f64 (.f64 x 3) x)))

Outputs
(*.f64 (sqrt.f64 2) (neg.f64 x))
(/.f64 (sqrt.f64 2) (/.f64 1 x))

Calls

4 calls:

15.0ms	(*.f64 x x)
10.0ms	x
10.0ms	(.f64 2 (.f64 x x))
10.0ms	(sqrt.f64 (.f64 2 (.f64 x x)))

Results

Error	Segments	Branch
0.4b	2	`x`
13.5b	3	`(sqrt.f64 (.f64 2 (.f64 x x)))`
13.5b	3	`(.f64 2 (.f64 x x))`
13.5b	3	`(*.f64 x x)`

Compiler

Compiled 61 to 43 computations (29.5% saved)

bsearch17.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
17.0ms	-2.03511748368603e-308	6.7246825924518646e-304

Results

16.0ms

144×

body

256

valid

Compiler

Compiled 146 to 125 computations (14.4% saved)

regimes36.0ms (0.6%)

Accuracy

Total -62.1b remaining (-14853.4%)

Threshold costs -62.1b (-14853.4%)

Counts

5 → 2

Calls

Call 1

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

Outputs
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 (sqrt.f64 2) x)

Calls

4 calls:

9.0ms	(.f64 2 (.f64 x x))
9.0ms	(sqrt.f64 (.f64 2 (.f64 x x)))
8.0ms	(*.f64 x x)
8.0ms	x

Results

Error	Segments	Branch
0.4b	2	`x`
13.5b	3	`(sqrt.f64 (.f64 2 (.f64 x x)))`
13.5b	3	`(.f64 2 (.f64 x x))`
13.5b	3	`(*.f64 x x)`

Compiler

Compiled 47 to 33 computations (29.8% saved)

bsearch14.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
14.0ms	-2.03511748368603e-308	6.7246825924518646e-304

Results

13.0ms

144×

body

256

valid

Compiler

Compiled 128 to 107 computations (16.4% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	136

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 x -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (.f64 (.f64 (sqrt.f64 2) (*.f64 x -1/2)) 2) (/.f64 (sqrt.f64 2) (/.f64 1 x)))
(if (<=.f64 x -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (*.f64 (sqrt.f64 2) (neg.f64 x)) (/.f64 (sqrt.f64 2) (/.f64 1 x)))
(if (<=.f64 x -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) x)

Outputs
(if (<=.f64 x -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (.f64 (.f64 (sqrt.f64 2) (*.f64 x -1/2)) 2) (/.f64 (sqrt.f64 2) (/.f64 1 x)))
(if (<=.f64 x -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (*.f64 (sqrt.f64 2) (neg.f64 x)) (/.f64 (sqrt.f64 2) (/.f64 1 x)))
(if (<=.f64 x -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) x)

Compiler

Compiled 54 to 44 computations (18.5% saved)

soundness88.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1080×	`rational.json-simplify-21`
1032×	`rational.json-simplify-1`
964×	`rational.json-simplify-29`
936×	`rational.json-simplify-33`
858×	`rational.json-simplify-23`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	387	3915
1	1233	3645
2	4676	3601

Stop Event

1×	node limit

Compiler

Compiled 24 to 20 computations (16.7% saved)

end37.0ms (0.6%)

Compiler: Compiled 51 to 40 computations (21.6% saved)