Details

analyze3.0ms (0%)

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 10 to 5 computations (50% saved)

sample966.0ms (13.3%)

Results

952.0ms	8256×	body	256	valid
2.0ms	2×	body	256	infinite

Bogosity

preprocess3.0ms (0%)

Algorithm

2×	egg-herbie

Rules

6×	`rational.json-simplify-50`
4×	`rational.json-simplify-76`
4×	`rational.json-simplify-44`
2×	`rational.json-simplify-16`
2×	`rational.json-simplify-53`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	10	17
2	13	17
3	16	17
4	21	17
5	21	17
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))

Outputs
(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))
(sqrt.f64 (*.f64 x (+.f64 x x)))

Compiler

Compiled 10 to 5 computations (50% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

6×	`rational.json-simplify-50`
4×	`rational.json-simplify-76`
4×	`rational.json-simplify-44`
2×	`rational.json-simplify-16`
2×	`rational.json-simplify-53`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	10	17
2	13	17
3	16	17
4	21	17
5	21	17

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))

Outputs
(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))
(sqrt.f64 (*.f64 x (+.f64 x x)))

eval0.0ms (0%)

Compiler: Compiled 15 to 7 computations (53.3% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

28.7b

Counts

3 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 4 computations (42.9% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	27.8b	(sqrt.f64 (*.f64 x (+.f64 x x)))

Compiler

Compiled 16 to 4 computations (75% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite55.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

926×	`rational.json-1`
926×	`rational.json-2`
926×	`rational.json-3`
922×	`rational.json-4`
760×	`rational.json-simplify-67`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	40	17
2	124	17
3	566	17
4	4250	17

Stop Event

1×	node limit

Counts

1 → 52

Calls

Call 1

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

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

simplify74.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1376×	`rational.json-simplify-1`
982×	`rational.json-simplify-4`
870×	`rational.json-simplify-3`
726×	`rational.json-simplify-2`
692×	`rational.json-simplify-6`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	103	1040
1	267	1032
2	1076	1032
3	7163	1032

Stop Event

1×	node limit

Counts

64 → 58

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

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

eval10.0ms (0.1%)

Compiler: Compiled 1017 to 332 computations (67.4% saved)

prune11.0ms (0.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	54	4	58
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	54	5	59

Error

0.2b

Counts

59 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	29.0b	(-.f64 (.f64 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 2) 2) (.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 3))
▶	29.0b	(.f64 (-.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 3)) -1/2)
▶	32.7b	(*.f64 (sqrt.f64 2) (neg.f64 x))
▶	30.2b	(*.f64 (sqrt.f64 2) x)
✓	28.7b	(sqrt.f64 (*.f64 x (+.f64 x x)))

Compiler

Compiled 56 to 33 computations (41.1% saved)

localize4.0ms (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)

rewrite69.0ms (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
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Outputs

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-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)))))))

simplify73.0ms (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))
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(+.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)
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(+.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))))
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(*.f64 (sqrt.f64 2) x)
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(*.f64 (sqrt.f64 2) x)
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(*.f64 (sqrt.f64 2) x)
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(*.f64 (sqrt.f64 2) x)
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(*.f64 (sqrt.f64 2) x)
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(*.f64 (sqrt.f64 2) x)
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(*.f64 (sqrt.f64 2) x)
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(*.f64 (sqrt.f64 2) x)
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(*.f64 (sqrt.f64 2) x)
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(*.f64 (sqrt.f64 2) x)
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(*.f64 (sqrt.f64 2) x)
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(*.f64 (sqrt.f64 2) x)
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(*.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))
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(*.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)))))
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(-.f64 (.f64 (sqrt.f64 2) x) (-.f64 (.f64 0 (-.f64 x (sqrt.f64 2))) (*.f64 (sqrt.f64 2) 0)))
(*.f64 (sqrt.f64 2) x)
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(*.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))))
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(-.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) (/.f64 (+.f64 x x) (/.f64 -1 (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) x)
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(*.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)))
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(-.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)
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(*.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)
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(*.f64 (sqrt.f64 2) x)
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(*.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)))
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(-.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)))
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(-.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))))
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(-.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)))
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(+.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)

localize6.0ms (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))

rewrite64.0ms (0.9%)

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

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(#(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))))))

simplify78.0ms (1.1%)

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)))
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(.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))
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(-.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))
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(-.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)))
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(.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))

localize16.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 3)
✓	0.7b	(-.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 3))
	27.8b	(sqrt.f64 (*.f64 x (+.f64 x x)))

Compiler

Compiled 58 to 16 computations (72.4% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite64.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1338×	`rational.json-1`
1338×	`rational.json-2`
984×	`rational.json-simplify-4`
916×	`rational.json-simplify-6`
878×	`rational.json-simplify-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	68
1	59	68
2	182	46
3	885	46
4	7276	46

Stop Event

1×	node limit

Counts

2 → 97

Calls

Call 1

Inputs
(-.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))) 3)

Outputs

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

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

simplify72.0ms (1%)

Algorithm

1×	egg-herbie

Rules

976×	`rational.json-simplify-13`
892×	`rational.json-simplify-14`
780×	`rational.json-simplify-42`
652×	`rational.json-simplify-21`
642×	`rational.json-simplify-29`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	184	4917
1	529	3655
2	2050	2727

Stop Event

1×	node limit

Counts

121 → 112

Calls

Call 1

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

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

localize14.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.3b	(.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 3)
✓	0.8b	(-.f64 (.f64 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 2) 2) (.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 3))
	27.8b	(sqrt.f64 (*.f64 x (+.f64 x x)))

Compiler

Compiled 63 to 21 computations (66.7% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

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

0.0ms

inf

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

0.0ms

-inf

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

rewrite49.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1046×	`rational.json-simplify-4`
1028×	`rational.json-simplify-6`
950×	`rational.json-simplify-3`
948×	`rational.json-simplify-5`
700×	`rational.json-simplify-12`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	13	57
1	76	51
2	227	27
3	1071	17

Stop Event

1×	node limit

Counts

1 → 68

Calls

Call 1

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

Outputs

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

simplify130.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1456×	`rational.json-simplify-6`
1222×	`rational.json-simplify-4`
1010×	`rational.json-simplify-37`
706×	`rational.json-simplify-44`
668×	`rational.json-simplify-21`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	162	3752
1	490	1376
2	2451	1304

Stop Event

1×	node limit

Counts

80 → 76

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

eval377.0ms (5.2%)

Compiler: Compiled 16964 to 8490 computations (50% saved)

prune235.0ms (3.2%)

Pruning

20 alts after pruning (17 fresh and 3 done)

	Pruned	Kept	Total
New	759	17	776
Fresh	0	0	0
Picked	1	0	1
Done	1	3	4
Total	761	20	781

Error

Counts

781 → 20

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)))
	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 (sqrt.f64 2) (-.f64 x (*.f64 3 x))) -1/2)
▶	30.4b	(.f64 (sqrt.f64 2) (-.f64 (+.f64 x (.f64 x 3)) (*.f64 x 3)))
	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)
▶	32.7b	(.f64 -1 (.f64 (-.f64 (.f64 4 (sqrt.f64 2)) (.f64 (sqrt.f64 2) 3)) x))
✓	28.7b	(sqrt.f64 (*.f64 x (+.f64 x x)))

Compiler

Compiled 418 to 355 computations (15.1% saved)

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)

series19.0ms (0.3%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
19.0ms	x	@	-inf	(/.f64 (sqrt.f64 2) (/.f64 1 x))
0.0ms	x	@	0	(/.f64 (sqrt.f64 2) (/.f64 1 x))
0.0ms	x	@	inf	(/.f64 (sqrt.f64 2) (/.f64 1 x))

rewrite82.0ms (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 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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) 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#<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)) 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(*.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)))))))

simplify65.0ms (0.9%)

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)

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))

rewrite71.0ms (1%)

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)))))) 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(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 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-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))))))

simplify63.0ms (0.9%)

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)))

localize30.0ms (0.4%)

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 (*.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	@	-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))

rewrite73.0ms (1%)

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 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(#(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 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(#(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))))))))

simplify111.0ms (1.5%)

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))
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(+.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)))

localize14.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 35 to 25 computations (28.6% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(.f64 (sqrt.f64 2) (-.f64 (+.f64 x (.f64 x 3)) (*.f64 x 3)))
1.0ms	x	@	-inf	(.f64 (sqrt.f64 2) (-.f64 (+.f64 x (.f64 x 3)) (*.f64 x 3)))
0.0ms	x	@	inf	(-.f64 (+.f64 x (.f64 x 3)) (.f64 x 3))
0.0ms	x	@	0	(-.f64 (+.f64 x (.f64 x 3)) (.f64 x 3))
0.0ms	x	@	-inf	(-.f64 (+.f64 x (.f64 x 3)) (.f64 x 3))

rewrite60.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

936×	`rational.json-simplify-42`
930×	`rational.json-simplify-29`
708×	`rational.json-simplify-24`
658×	`rational.json-simplify-21`
632×	`rational.json-simplify-23`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	60
1	71	36
2	257	12
3	1490	12

Stop Event

1×	node limit

Counts

2 → 183

Calls

Call 1

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

Outputs

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

simplify86.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1240×	`rational.json-simplify-1`
942×	`rational.json-simplify-24`
508×	`rational.json-simplify-50`
494×	`rational.json-simplify-43`
486×	`rational.json-simplify-67`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	391	2567
1	1329	2247
2	7562	2247

Stop Event

1×	node limit

Counts

207 → 217

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

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

localize29.0ms (0.4%)

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 49 to 46 computations (6.1% saved)

series1.0ms (0%)

Counts

3 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	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)

rewrite66.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

858×	`rational.json-simplify-29`
816×	`rational.json-simplify-24`
802×	`rational.json-simplify-2`
688×	`rational.json-simplify-21`
676×	`rational.json-simplify-23`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	27
1	70	27
2	212	27
3	1234	27

Stop Event

1×	node limit

Counts

3 → 288

Calls

Call 1

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

Outputs

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((x -.f64 (+.f64 (*.f64 x (*.f64 (sqrt.f64 2) -7)) (*.f64 x (*.f64 (sqrt.f64 2) -7))) (+.f64 (*.f64 x (*.f64 (sqrt.f64 2) -7)) (*.f64 x (*.f64 (sqrt.f64 2) -8))))))) (#(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 (/.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 (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 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 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 (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) (neg.f64 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 (neg.f64 (*.f64 2 (sqrt.f64 2))) (neg.f64 (sqrt.f64 2))) (/.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 (sqrt.f64 2) 32)) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (sqrt.f64 2) 15) (*.f64 (sqrt.f64 2) 14)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (sqrt.f64 2) 15) (*.f64 (sqrt.f64 2) 14)) (neg.f64 (/.f64 -1 x)))))) (#(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 x x) x) (/.f64 -1 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 3 x) (+.f64 x (*.f64 3 x))) (/.f64 -1 (sqrt.f64 2)))))) (#(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 neg.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)))))))

simplify84.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

844×	`rational.json-simplify-43`
606×	`rational.json-simplify-28`
606×	`rational.json-simplify-29`
576×	`rational.json-simplify-1`
566×	`rational.json-simplify-2`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	605	7920
1	1959	4286

Stop Event

1×	node limit

Counts

300 → 338

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 2 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -5)))
(+.f64 (.f64 4 (sqrt.f64 2)) (.f64 1/2 (*.f64 (sqrt.f64 2) -6)))
(+.f64 (.f64 (sqrt.f64 2) 3) (+.f64 (.f64 2 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -4)))
(+.f64 0 (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) -3) (.f64 4 (sqrt.f64 2)))
(+.f64 (neg.f64 (sqrt.f64 2)) (*.f64 2 (sqrt.f64 2)))
(+.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 (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 (.f64 (sqrt.f64 2) -3) (neg.f64 (*.f64 (sqrt.f64 2) 12))))
(+.f64 (.f64 (sqrt.f64 2) 16) (+.f64 (.f64 (sqrt.f64 2) -3) (*.f64 (sqrt.f64 2) -12)))
(+.f64 (.f64 (sqrt.f64 2) 16) (.f64 1 (neg.f64 (*.f64 (sqrt.f64 2) 15))))
(+.f64 (.f64 (sqrt.f64 2) 32) (+.f64 (.f64 (sqrt.f64 2) -3) (neg.f64 (*.f64 (sqrt.f64 2) 28))))
(+.f64 (*.f64 2 (sqrt.f64 2)) (neg.f64 (sqrt.f64 2)))
(+.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 (sqrt.f64 2) 1/2) (.f64 (sqrt.f64 2) 1/2))
(.f64 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 (.f64 (sqrt.f64 2) 8) (*.f64 (sqrt.f64 2) 6)))
(.f64 (.f64 (sqrt.f64 2) -2) -1/2)
(.f64 -1/2 (.f64 (sqrt.f64 2) -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 (neg.f64 (*.f64 2 (sqrt.f64 2))) (neg.f64 (sqrt.f64 2))) -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 (sqrt.f64 2) 32)) -1)
(/.f64 (-.f64 (.f64 (sqrt.f64 2) 15) (.f64 (sqrt.f64 2) 14)) 1)
(/.f64 (-.f64 (*.f64 (sqrt.f64 2) 0) (sqrt.f64 2)) -1)
(neg.f64 (neg.f64 (sqrt.f64 2)))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 2 (sqrt.f64 2)))
(+.f64 (.f64 4 (sqrt.f64 2)) (+.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2) -2)))
(+.f64 (.f64 4 (sqrt.f64 2)) (+.f64 (.f64 2 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -3)))
(+.f64 (*.f64 (sqrt.f64 2) 3) 0)
(+.f64 (.f64 (sqrt.f64 2) 3) (.f64 (sqrt.f64 2) 0))
(+.f64 0 (*.f64 (sqrt.f64 2) 3))
(+.f64 (.f64 (sqrt.f64 2) 8) (+.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2) -6)))
(+.f64 (.f64 (sqrt.f64 2) 8) (+.f64 (.f64 2 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) -7)))
(+.f64 (.f64 (sqrt.f64 2) -3) (.f64 (sqrt.f64 2) 6))
(+.f64 (.f64 (sqrt.f64 2) -3) (+.f64 (.f64 2 (sqrt.f64 2)) (*.f64 4 (sqrt.f64 2))))
(+.f64 (.f64 (sqrt.f64 2) 0) (.f64 (sqrt.f64 2) 3))
(+.f64 (.f64 (sqrt.f64 2) 24) (neg.f64 (.f64 (sqrt.f64 2) 21)))
(+.f64 (.f64 (sqrt.f64 2) 24) (+.f64 0 (neg.f64 (.f64 (sqrt.f64 2) 21))))
(+.f64 (.f64 (sqrt.f64 2) 24) (.f64 3 (*.f64 (sqrt.f64 2) -7)))
(+.f64 (.f64 (sqrt.f64 2) 24) (.f64 1 (neg.f64 (*.f64 (sqrt.f64 2) 21))))
(+.f64 (.f64 (sqrt.f64 2) 16) (+.f64 (sqrt.f64 2) (-.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2) 15))))
(+.f64 (.f64 (sqrt.f64 2) 16) (+.f64 (.f64 2 (sqrt.f64 2)) (neg.f64 (*.f64 (sqrt.f64 2) 15))))
(+.f64 (.f64 (sqrt.f64 2) 12) (neg.f64 (.f64 (sqrt.f64 2) 9)))
(+.f64 (.f64 (sqrt.f64 2) 12) (.f64 (sqrt.f64 2) -9))
(+.f64 (.f64 (sqrt.f64 2) 12) (+.f64 0 (neg.f64 (.f64 (sqrt.f64 2) 9))))
(+.f64 (.f64 (sqrt.f64 2) 12) (/.f64 (.f64 (sqrt.f64 2) -3) 1/3))
(+.f64 (.f64 (sqrt.f64 2) 12) (.f64 1 (neg.f64 (*.f64 (sqrt.f64 2) 9))))
(+.f64 (.f64 (sqrt.f64 2) 12) (.f64 1/2 (*.f64 (sqrt.f64 2) -18)))
(+.f64 (*.f64 2 (sqrt.f64 2)) (sqrt.f64 2))
(+.f64 (.f64 (sqrt.f64 2) 6) (.f64 (sqrt.f64 2) -3))
(+.f64 (.f64 (sqrt.f64 2) 6) (.f64 1/2 (*.f64 (sqrt.f64 2) -6)))
(+.f64 (neg.f64 (.f64 (sqrt.f64 2) 9)) (.f64 (sqrt.f64 2) 12))
(+.f64 (neg.f64 (.f64 (sqrt.f64 2) 21)) (.f64 (sqrt.f64 2) 24))
(+.f64 (.f64 (sqrt.f64 2) -12) (.f64 -3 (*.f64 (sqrt.f64 2) -5)))
(+.f64 (.f64 (sqrt.f64 2) -9) (.f64 (sqrt.f64 2) 12))
(+.f64 (.f64 (.f64 (sqrt.f64 2) 7) -3) (.f64 -3 (.f64 (sqrt.f64 2) -8)))
(+.f64 (.f64 3 (.f64 (sqrt.f64 2) 16)) (.f64 3 (neg.f64 (.f64 (sqrt.f64 2) 15))))
(+.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) 1/3) (.f64 (sqrt.f64 2) 12))
(+.f64 (.f64 (.f64 (sqrt.f64 2) 3) 1/2) (.f64 1/2 (.f64 (sqrt.f64 2) 3)))
(-.f64 (*.f64 (sqrt.f64 2) 3) 0)
(-.f64 (.f64 (sqrt.f64 2) 3) (.f64 (sqrt.f64 2) 0))
(-.f64 0 (*.f64 (sqrt.f64 2) -3))
(-.f64 (.f64 (sqrt.f64 2) 7) (.f64 4 (sqrt.f64 2)))
(-.f64 (.f64 (sqrt.f64 2) -3) (/.f64 (neg.f64 (.f64 2 (sqrt.f64 2))) 1/3))
(-.f64 (.f64 (sqrt.f64 2) -3) (/.f64 (.f64 (sqrt.f64 2) 6) -1))
(-.f64 (.f64 (sqrt.f64 2) 9) (.f64 (sqrt.f64 2) 6))
(-.f64 (.f64 (sqrt.f64 2) 24) (.f64 (sqrt.f64 2) 21))
(-.f64 (.f64 (sqrt.f64 2) 21) (.f64 3 (*.f64 (sqrt.f64 2) 6)))
(-.f64 (.f64 (sqrt.f64 2) 21) (/.f64 (.f64 (sqrt.f64 2) 6) 1/3))
(-.f64 (.f64 (sqrt.f64 2) 12) (.f64 (sqrt.f64 2) 9))
(-.f64 (.f64 (sqrt.f64 2) 6) (.f64 (sqrt.f64 2) 3))
(-.f64 (.f64 (sqrt.f64 2) -9) (.f64 (sqrt.f64 2) -12))
(-.f64 (.f64 (.f64 (sqrt.f64 2) 7) -3) (*.f64 (sqrt.f64 2) -24))
(-.f64 (.f64 (sqrt.f64 2) 14) (.f64 (sqrt.f64 2) 11))
(-.f64 (.f64 3 (.f64 (sqrt.f64 2) 16)) (.f64 3 (.f64 (sqrt.f64 2) 15)))
(-.f64 (/.f64 (.f64 (sqrt.f64 2) 9) -1) (.f64 (sqrt.f64 2) -12))
(-.f64 (/.f64 (.f64 (sqrt.f64 2) 21) -1) (/.f64 (.f64 (sqrt.f64 2) 24) -1))
(-.f64 (/.f64 (.f64 (sqrt.f64 2) 8) 1/3) (.f64 (sqrt.f64 2) 21))
(-.f64 (/.f64 (.f64 (sqrt.f64 2) 9) 1/3) (/.f64 (.f64 (sqrt.f64 2) 8) 1/3))
(-.f64 (/.f64 (.f64 (sqrt.f64 2) 21) 1/3) (/.f64 (.f64 (*.f64 (sqrt.f64 2) 8) 5/2) 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) 5) 1/3) (.f64 (sqrt.f64 2) 12))
(-.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 2) 16) (.f64 (sqrt.f64 2) 3)) 1/3) (/.f64 (*.f64 (sqrt.f64 2) 12) 1/3))
(-.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 2) 32) (.f64 (sqrt.f64 2) 3)) 1/3) (/.f64 (*.f64 (sqrt.f64 2) 28) 1/3))
(-.f64 (/.f64 (.f64 (sqrt.f64 2) -3) 1/3) (/.f64 (.f64 (sqrt.f64 2) -4) 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) 32) 1/3) (/.f64 (+.f64 (.f64 (sqrt.f64 2) 16) (*.f64 (sqrt.f64 2) 15)) 1/3))
(-.f64 (+.f64 (.f64 (sqrt.f64 2) 21) (.f64 (sqrt.f64 2) 21)) (+.f64 (.f64 (sqrt.f64 2) 21) (.f64 3 (*.f64 (sqrt.f64 2) 6))))
(-.f64 (+.f64 (.f64 (sqrt.f64 2) 9) (.f64 (sqrt.f64 2) 9)) (+.f64 (.f64 (sqrt.f64 2) 9) (.f64 (sqrt.f64 2) 6)))
(-.f64 (+.f64 (.f64 (sqrt.f64 2) -9) (.f64 (sqrt.f64 2) -9)) (+.f64 (.f64 (sqrt.f64 2) -9) (.f64 (sqrt.f64 2) -12)))
(-.f64 (+.f64 (.f64 (.f64 (sqrt.f64 2) 7) -3) (.f64 (.f64 (sqrt.f64 2) 7) -3)) (+.f64 (.f64 (.f64 (sqrt.f64 2) 7) -3) (*.f64 (sqrt.f64 2) -24)))
(-.f64 (+.f64 (.f64 3 (.f64 (sqrt.f64 2) 16)) (.f64 3 (.f64 (sqrt.f64 2) 16))) (+.f64 (.f64 3 (.f64 (sqrt.f64 2) 16)) (.f64 3 (.f64 (sqrt.f64 2) 15))))
(/.f64 (sqrt.f64 2) 1/3)
(/.f64 3 (/.f64 1 (sqrt.f64 2)))
(/.f64 (*.f64 (sqrt.f64 2) 3) 1)
(/.f64 1 (/.f64 1/3 (sqrt.f64 2)))
(/.f64 (*.f64 (sqrt.f64 2) -3) -1)
(/.f64 -1 (/.f64 1 (*.f64 (sqrt.f64 2) -3)))
(/.f64 (neg.f64 (sqrt.f64 2)) -1/3)
(/.f64 -3 (/.f64 -1 (sqrt.f64 2)))
(/.f64 1/2 (/.f64 (/.f64 1/2 (sqrt.f64 2)) 3))
(/.f64 1/2 (/.f64 (/.f64 1 (sqrt.f64 2)) 6))
(/.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) 6)))
(/.f64 1/2 (/.f64 -1 (+.f64 (.f64 (sqrt.f64 2) -3) (.f64 (sqrt.f64 2) -3))))
(/.f64 3/2 (/.f64 1/2 (sqrt.f64 2)))
(/.f64 6 (/.f64 (/.f64 1 (sqrt.f64 2)) 1/2))
(/.f64 (-.f64 (neg.f64 (*.f64 2 (sqrt.f64 2))) (neg.f64 (sqrt.f64 2))) -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 (sqrt.f64 2) 32)) -1/3)
(/.f64 (-.f64 (.f64 (sqrt.f64 2) 0) (.f64 (sqrt.f64 2) 3)) -1)
(/.f64 (-.f64 (.f64 3 (.f64 (sqrt.f64 2) 6)) (*.f64 (sqrt.f64 2) 21)) -1)
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(/.f64 (-.f64 (.f64 (sqrt.f64 2) -24) (.f64 (*.f64 (sqrt.f64 2) 7) -3)) -1)
(/.f64 (-.f64 (.f64 (sqrt.f64 2) -7) (.f64 (sqrt.f64 2) -4)) -1)
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(/.f64 (+.f64 (*.f64 (sqrt.f64 2) -2) (neg.f64 (sqrt.f64 2))) -1)
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(neg.f64 (*.f64 (sqrt.f64 2) -3))
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(+.f64 (.f64 (sqrt.f64 2) (+.f64 x x)) (.f64 (sqrt.f64 2) (neg.f64 x)))
(+.f64 (.f64 (sqrt.f64 2) (+.f64 x x)) (.f64 1/2 (.f64 x (.f64 (sqrt.f64 2) -2))))
(+.f64 (neg.f64 (.f64 (sqrt.f64 2) 0)) (.f64 (sqrt.f64 2) x))
(+.f64 (neg.f64 (-.f64 x x)) (*.f64 (sqrt.f64 2) x))
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(-.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) (neg.f64 (.f64 (sqrt.f64 2) 0)))
(-.f64 (*.f64 (sqrt.f64 2) x) (neg.f64 (-.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 0 (-.f64 (sqrt.f64 2) x)))
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(-.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 (neg.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 (.f64 2 (sqrt.f64 2)) (/.f64 -1 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 x 4)) (.f64 (sqrt.f64 2) (.f64 3 x)))
(-.f64 (.f64 (sqrt.f64 2) (.f64 3 x)) (*.f64 (sqrt.f64 2) (+.f64 x x)))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x 8)) (.f64 (sqrt.f64 2) (.f64 x 7)))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x 7)) (.f64 x (.f64 (sqrt.f64 2) 6)))
(-.f64 (.f64 (sqrt.f64 2) (+.f64 x x)) (.f64 (sqrt.f64 2) x))
(-.f64 (.f64 x (.f64 (sqrt.f64 2) 5)) (.f64 (sqrt.f64 2) (.f64 x 4)))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x 9)) (.f64 (sqrt.f64 2) (.f64 x 8)))
(-.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 (sqrt.f64 2) (.f64 x -3)) (.f64 x (.f64 (sqrt.f64 2) -4)))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x -3)) (/.f64 (*.f64 (sqrt.f64 2) -4) (/.f64 1 x)))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x -3)) (/.f64 (*.f64 4 (sqrt.f64 2)) (/.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 x (.f64 (sqrt.f64 2) -7)) (/.f64 (*.f64 (sqrt.f64 2) 8) (/.f64 -1 x)))
(-.f64 (/.f64 (.f64 (sqrt.f64 2) -7) (/.f64 1 x)) (/.f64 (.f64 (sqrt.f64 2) -8) (/.f64 1 x)))
(-.f64 (/.f64 (.f64 (sqrt.f64 2) 21) (/.f64 1 x)) (/.f64 (.f64 (*.f64 (sqrt.f64 2) 8) 5/2) (/.f64 1 x)))
(-.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 2) 16) (.f64 (sqrt.f64 2) 3)) (/.f64 1 x)) (.f64 x (.f64 (sqrt.f64 2) 12)))
(-.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 2) 32) (.f64 (sqrt.f64 2) 3)) (/.f64 1 x)) (/.f64 (*.f64 (sqrt.f64 2) 28) (/.f64 1 x)))
(-.f64 (/.f64 (.f64 (sqrt.f64 2) 32) (/.f64 1 x)) (/.f64 (+.f64 (.f64 (sqrt.f64 2) 16) (*.f64 (sqrt.f64 2) 15)) (/.f64 1 x)))
(-.f64 (/.f64 (.f64 2 (sqrt.f64 2)) (/.f64 -1 x)) (.f64 (sqrt.f64 2) (*.f64 x -3)))
(-.f64 (/.f64 (.f64 4 (sqrt.f64 2)) (/.f64 -1 x)) (/.f64 (.f64 (sqrt.f64 2) 5) (/.f64 -1 x)))
(-.f64 (/.f64 (.f64 (sqrt.f64 2) 8) (/.f64 -1 x)) (/.f64 (.f64 (sqrt.f64 2) 9) (/.f64 -1 x)))
(-.f64 (/.f64 (.f64 (sqrt.f64 2) 12) (/.f64 -1 x)) (/.f64 (-.f64 (.f64 (sqrt.f64 2) 16) (*.f64 (sqrt.f64 2) 3)) (/.f64 -1 x)))
(-.f64 (/.f64 (.f64 (sqrt.f64 2) 28) (/.f64 -1 x)) (/.f64 (-.f64 (.f64 (sqrt.f64 2) 32) (*.f64 (sqrt.f64 2) 3)) (/.f64 -1 x)))
(-.f64 (/.f64 (.f64 (sqrt.f64 2) 6) (/.f64 -1 x)) (.f64 x (*.f64 (sqrt.f64 2) -7)))
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(-.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 x 7)) (.f64 (sqrt.f64 2) (.f64 x 7))) (+.f64 (.f64 (sqrt.f64 2) (.f64 x 7)) (.f64 x (.f64 (sqrt.f64 2) 6))))
(-.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 3 x)) (.f64 (sqrt.f64 2) (.f64 3 x))) (+.f64 (.f64 (sqrt.f64 2) (.f64 3 x)) (*.f64 (sqrt.f64 2) (+.f64 x x))))
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(/.f64 (sqrt.f64 2) (/.f64 1 x))
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(/.f64 1 (/.f64 (/.f64 1 x) (sqrt.f64 2)))
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(/.f64 1/2 (/.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 x x)))
(/.f64 1/2 (/.f64 (/.f64 1/2 x) (sqrt.f64 2)))
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(/.f64 (/.f64 x 2) (/.f64 1/2 (sqrt.f64 2)))
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(/.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 (sqrt.f64 2) 32)) (/.f64 -1 x))
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(/.f64 (-.f64 (.f64 (sqrt.f64 2) (-.f64 x x)) (.f64 (sqrt.f64 2) x)) -1)
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(/.f64 (-.f64 (*.f64 (sqrt.f64 2) 0) (sqrt.f64 2)) (/.f64 -1 x))
(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)
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(-.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) 0) (.f64 (sqrt.f64 2) (neg.f64 x)))
(*.f64 (sqrt.f64 2) (-.f64 0 (neg.f64 x)))
(-.f64 (-.f64 x x) (*.f64 (sqrt.f64 2) (neg.f64 x)))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x 4)) (.f64 (sqrt.f64 2) (.f64 3 x)))
(-.f64 (.f64 (sqrt.f64 2) (.f64 4 x)) (.f64 (sqrt.f64 2) (.f64 3 x)))
(.f64 (sqrt.f64 2) (-.f64 (.f64 4 x) (*.f64 3 x)))
(-.f64 (.f64 (sqrt.f64 2) (.f64 3 x)) (*.f64 (sqrt.f64 2) (+.f64 x x)))
(.f64 (sqrt.f64 2) (-.f64 (.f64 3 x) (+.f64 x x)))
(-.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 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 (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) 5)) (.f64 (sqrt.f64 2) (.f64 x 4)))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x 5)) (.f64 (sqrt.f64 2) (.f64 4 x)))
(.f64 x (-.f64 (.f64 (sqrt.f64 2) 5) (*.f64 4 (sqrt.f64 2))))
(-.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) 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 (sqrt.f64 2) (.f64 x -3)) (.f64 x (.f64 (sqrt.f64 2) -4)))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x -3)) (.f64 (sqrt.f64 2) (.f64 x -4)))
(.f64 (sqrt.f64 2) (-.f64 (.f64 x -3) (*.f64 x -4)))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x -3)) (/.f64 (*.f64 (sqrt.f64 2) -4) (/.f64 1 x)))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x -3)) (.f64 (sqrt.f64 2) (.f64 x -4)))
(.f64 (sqrt.f64 2) (-.f64 (.f64 x -3) (*.f64 x -4)))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x -3)) (/.f64 (*.f64 4 (sqrt.f64 2)) (/.f64 -1 x)))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x -3)) (.f64 (sqrt.f64 2) (.f64 x -4)))
(.f64 (sqrt.f64 2) (-.f64 (.f64 x -3) (*.f64 x -4)))
(-.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 x (.f64 (sqrt.f64 2) -7)) (/.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 (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 (sqrt.f64 2) 21) (/.f64 1 x)) (/.f64 (.f64 (*.f64 (sqrt.f64 2) 8) 5/2) (/.f64 1 x)))
(/.f64 (-.f64 (.f64 (sqrt.f64 2) 21) (.f64 (*.f64 (sqrt.f64 2) 8) 5/2)) (/.f64 1 x))
(.f64 (-.f64 (.f64 (sqrt.f64 2) 21) (.f64 (.f64 (sqrt.f64 2) 8) 5/2)) x)
(-.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 2) 16) (.f64 (sqrt.f64 2) 3)) (/.f64 1 x)) (.f64 x (.f64 (sqrt.f64 2) 12)))
(-.f64 (.f64 (-.f64 (.f64 (sqrt.f64 2) 16) (.f64 (sqrt.f64 2) 3)) (/.f64 x 1)) (.f64 (sqrt.f64 2) (*.f64 x 12)))
(-.f64 (.f64 (.f64 (sqrt.f64 2) 13) x) (.f64 (sqrt.f64 2) (.f64 x 12)))
(-.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 2) 32) (.f64 (sqrt.f64 2) 3)) (/.f64 1 x)) (/.f64 (*.f64 (sqrt.f64 2) 28) (/.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) 32) (/.f64 1 x)) (/.f64 (+.f64 (.f64 (sqrt.f64 2) 16) (*.f64 (sqrt.f64 2) 15)) (/.f64 1 x)))
(/.f64 (-.f64 (.f64 (sqrt.f64 2) 32) (+.f64 (.f64 (sqrt.f64 2) 15) (*.f64 (sqrt.f64 2) 16))) (/.f64 1 x))
(.f64 x (-.f64 (.f64 (sqrt.f64 2) 32) (*.f64 (sqrt.f64 2) 31)))
(-.f64 (/.f64 (.f64 2 (sqrt.f64 2)) (/.f64 -1 x)) (.f64 (sqrt.f64 2) (*.f64 x -3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 2)) (neg.f64 x)) (.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 4 (sqrt.f64 2)) (/.f64 -1 x)) (/.f64 (.f64 (sqrt.f64 2) 5) (/.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) 8) (/.f64 -1 x)) (/.f64 (.f64 (sqrt.f64 2) 9) (/.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) 12) (/.f64 -1 x)) (/.f64 (-.f64 (.f64 (sqrt.f64 2) 16) (*.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) 28) (/.f64 -1 x)) (/.f64 (-.f64 (.f64 (sqrt.f64 2) 32) (*.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) 6) (/.f64 -1 x)) (.f64 x (*.f64 (sqrt.f64 2) -7)))
(-.f64 (.f64 (.f64 (sqrt.f64 2) 6) (neg.f64 x)) (.f64 (sqrt.f64 2) (.f64 x -7)))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x -6)) (.f64 (sqrt.f64 2) (.f64 x -7)))
(-.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) 8) 5/2) (/.f64 -1 x)) (/.f64 (*.f64 (sqrt.f64 2) 21) (/.f64 -1 x)))
(/.f64 (-.f64 (.f64 (sqrt.f64 2) 21) (.f64 (*.f64 (sqrt.f64 2) 8) 5/2)) (/.f64 1 x))
(.f64 (-.f64 (.f64 (sqrt.f64 2) 21) (.f64 (.f64 (sqrt.f64 2) 8) 5/2)) x)
(-.f64 (/.f64 (.f64 (sqrt.f64 2) 14) (/.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 (+.f64 (.f64 (sqrt.f64 2) (.f64 x 7)) (.f64 (sqrt.f64 2) (.f64 x 7))) (+.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 (.f64 (sqrt.f64 2) (.f64 3 x)) (.f64 (sqrt.f64 2) (.f64 3 x))) (+.f64 (.f64 (sqrt.f64 2) (.f64 3 x)) (*.f64 (sqrt.f64 2) (+.f64 x x))))
(-.f64 (.f64 (sqrt.f64 2) (.f64 3 x)) (*.f64 (sqrt.f64 2) (+.f64 x x)))
(.f64 (sqrt.f64 2) (-.f64 (.f64 3 x) (+.f64 x x)))
(-.f64 (+.f64 (.f64 x (.f64 (sqrt.f64 2) 16)) (.f64 x (.f64 (sqrt.f64 2) 16))) (+.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 (.f64 (sqrt.f64 2) (.f64 x -3)) (.f64 (sqrt.f64 2) (.f64 x -3))) (+.f64 (.f64 (sqrt.f64 2) (.f64 x -3)) (.f64 x (.f64 (sqrt.f64 2) -4))))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x -3)) (.f64 (sqrt.f64 2) (.f64 x -4)))
(.f64 (sqrt.f64 2) (-.f64 (.f64 x -3) (*.f64 x -4)))
(-.f64 (+.f64 (.f64 x (.f64 (sqrt.f64 2) -7)) (.f64 x (.f64 (sqrt.f64 2) -7))) (+.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 (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 (/.f64 1 (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 -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 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 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 (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 1/2 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 (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) (neg.f64 x)))))
(.f64 (-.f64 (.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 3)) x)
(*.f64 (sqrt.f64 2) x)
(/.f64 (/.f64 x 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 (neg.f64 (*.f64 2 (sqrt.f64 2))) (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 (-.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 (sqrt.f64 2) 32)) (/.f64 -1 x))
(/.f64 (-.f64 (.f64 (sqrt.f64 2) 32) (+.f64 (.f64 (sqrt.f64 2) 15) (*.f64 (sqrt.f64 2) 16))) (/.f64 1 x))
(.f64 x (-.f64 (.f64 (sqrt.f64 2) 32) (*.f64 (sqrt.f64 2) 31)))
(/.f64 (-.f64 (.f64 (sqrt.f64 2) 15) (.f64 (sqrt.f64 2) 14)) (/.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 (sqrt.f64 2) 14)) (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) (-.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 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 3 x) (+.f64 x (.f64 3 x))) (/.f64 -1 (sqrt.f64 2)))
(.f64 (-.f64 (.f64 3 x) (+.f64 x (*.f64 3 x))) (neg.f64 (sqrt.f64 2)))
(.f64 (-.f64 (+.f64 x (.f64 3 x)) (*.f64 3 x)) (sqrt.f64 2))
(/.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)
(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)

eval429.0ms (5.9%)

Compiler: Compiled 18821 to 15101 computations (19.8% saved)

prune316.0ms (4.4%)

Pruning

15 alts after pruning (10 fresh and 5 done)

	Pruned	Kept	Total
New	1241	6	1247
Fresh	8	4	12
Picked	1	0	1
Done	2	5	7
Total	1252	15	1267

Error

Counts

1267 → 15

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)))
✓	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)))
▶	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))))
▶	30.4b	(.f64 (/.f64 (sqrt.f64 2) -2) (-.f64 x (.f64 x 3)))
	30.3b	(.f64 (-.f64 (.f64 (sqrt.f64 2) 4) (*.f64 (sqrt.f64 2) 3)) x)
	30.4b	(.f64 (sqrt.f64 2) (-.f64 (/.f64 x 1/4) (.f64 x 3)))
✓	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 x x)))

Compiler

Compiled 250 to 213 computations (14.8% saved)

localize21.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 x (/.f64 1 (-.f64 (.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 2) 3))))
	1.0b	(*.f64 (sqrt.f64 2) 3)
✓	1.0b	(/.f64 1 (-.f64 (.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 2) 3)))
✓	2.0b	(-.f64 (.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 2) 3))

Compiler

Compiled 49 to 47 computations (4.1% saved)

series1.0ms (0%)

Counts

3 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

(/.f64 x (/.f64 1 (-.f64 (*.f64 (sqrt.f64 2) 4) (*.f64 (sqrt.f64 2) 3))))

0.0ms

inf

(/.f64 x (/.f64 1 (-.f64 (*.f64 (sqrt.f64 2) 4) (*.f64 (sqrt.f64 2) 3))))

0.0ms

-inf

(/.f64 x (/.f64 1 (-.f64 (*.f64 (sqrt.f64 2) 4) (*.f64 (sqrt.f64 2) 3))))

rewrite98.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

894×	`rational.json-simplify-61`
808×	`rational.json-1`
808×	`rational.json-2`
808×	`rational.json-4`
808×	`rational.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	93
1	90	27
2	325	27
3	1863	27

Stop Event

1×	node limit

Counts

3 → 319

Calls

Call 1

Inputs
(-.f64 (.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 2) 3))
(/.f64 1 (-.f64 (.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 2) 3)))
(/.f64 x (/.f64 1 (-.f64 (.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 2) 3))))

Outputs

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*.f64 x (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (-.f64 (*.f64 (sqrt.f64 2) 15) (*.f64 (sqrt.f64 2) 14)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (-.f64 (/.f64 13 (/.f64 1 (sqrt.f64 2))) (*.f64 (sqrt.f64 2) 12)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 2) 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 (sqrt.f64 2)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 2)) (-.f64 (*.f64 3 x) (+.f64 x (*.f64 3 x))))))) (#(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 1/2 (*.f64 2 (*.f64 (sqrt.f64 2) x)))))) (#(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 -2 (/.f64 1/2 (/.f64 (/.f64 -1 (sqrt.f64 2)) x)))))) (#(struct:change #<rule 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egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) -1)))) (#(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 2 (sqrt.f64 2)) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (sqrt.f64 2)) (/.f64 1/2 (/.f64 1/2 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (+.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) (*.f64 (sqrt.f64 2) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 (sqrt.f64 2) x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 (sqrt.f64 2) 1/2)) (/.f64 (neg.f64 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (/.f64 2 (sqrt.f64 2))) (+.f64 x (*.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (*.f64 3 x)) (/.f64 1/2 (/.f64 2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (*.f64 3 x)) (-.f64 (*.f64 (sqrt.f64 2) 1/2) (/.f64 1/2 (/.f64 2 (sqrt.f64 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 (sqrt.f64 2) -2) (/.f64 1/2 (/.f64 -1/2 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 x) 1/2) (neg.f64 (*.f64 (sqrt.f64 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 x) 1/2) (/.f64 -1/2 (/.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) (neg.f64 x))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (/.f64 (/.f64 1 (sqrt.f64 2)) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (/.f64 -1 x)) (*.f64 (sqrt.f64 2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 (/.f64 1 (sqrt.f64 2))) (/.f64 (neg.f64 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 (neg.f64 x) 1/2) (/.f64 (neg.f64 x) 1/2)) (/.f64 1/2 (neg.f64 (/.f64 2 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 x -2) (/.f64 x -2)) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 x (*.f64 (sqrt.f64 2) -2)) (*.f64 x (*.f64 (sqrt.f64 2) -2))) -1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (neg.f64 (*.f64 x 1/2)) (neg.f64 (*.f64 x 1/2))) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)))))))

simplify125.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1466×	`rational.json-simplify-24`
950×	`rational.json-simplify-2`
808×	`rational.json-simplify-13`
768×	`rational.json-simplify-28`
662×	`rational.json-simplify-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	621	8231
1	1848	7871

Stop Event

1×	node limit

Counts

331 → 414

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

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 x (-.f64 -1 (sqrt.f64 2)))
✓	0.5b	(+.f64 x (*.f64 x (-.f64 -1 (sqrt.f64 2))))

Compiler

Compiled 24 to 20 computations (16.7% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite93.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1464×	`rational.json-simplify-67`
912×	`rational.json-simplify-2`
560×	`rational.json-simplify-40`
514×	`rational.json-simplify-42`
494×	`rational.json-simplify-23`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	40
1	64	40
2	216	32
3	1130	32
4	6919	32

Stop Event

1×	node limit

Counts

2 → 357

Calls

Call 1

Inputs
(+.f64 x (*.f64 x (-.f64 -1 (sqrt.f64 2))))
(*.f64 x (-.f64 -1 (sqrt.f64 2)))

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

simplify151.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1208×	`rational.json-simplify-3`
1100×	`rational.json-simplify-12`
944×	`rational.json-simplify-1`
938×	`rational.json-simplify-2`
830×	`rational.json-simplify-13`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	796	14211
1	3285	13849

Stop Event

1×	node limit

Counts

381 → 621

Calls

Call 1

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

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

localize10.0ms (0.1%)

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 24 to 20 computations (16.7% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite209.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

888×	`rational.json-simplify-24`
886×	`rational.json-simplify-21`
696×	`rational.json-simplify-6`
622×	`rational.json-simplify-5`
590×	`rational.json-simplify-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	34
1	73	34
2	261	32
3	1446	32

Stop Event

1×	node limit

Counts

2 → 346

Calls

Call 1

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

Outputs

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

simplify119.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1034×	`rational.json-simplify-24`
764×	`rational.json-simplify-41`
624×	`rational.json-simplify-13`
618×	`rational.json-simplify-50`
612×	`rational.json-simplify-48`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	635	6936
1	1968	6722

Stop Event

1×	node limit

Counts

370 → 381

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

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

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.4b	(*.f64 (neg.f64 x) (+.f64 -1 (+.f64 (sqrt.f64 2) 1)))
✓	1.0b	(+.f64 -1 (+.f64 (sqrt.f64 2) 1))

Compiler

Compiled 28 to 24 computations (14.3% saved)

series0.0ms (0%)

Counts

2 → 12

Calls

3 calls:

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

rewrite68.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

2026×	`rational.json-1`
2022×	`rational.json-2`
1986×	`rational.json-3`
622×	`rational.json-simplify-42`
588×	`rational.json-simplify-29`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	20
1	73	20
2	214	20
3	1106	20
4	6277	20

Stop Event

1×	node limit

Counts

2 → 163

Calls

Call 1

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

Outputs

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

simplify78.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1250×	`rational.json-simplify-1`
968×	`rational.json-simplify-57`
668×	`rational.json-simplify-24`
620×	`rational.json-simplify-40`
468×	`rational.json-simplify-28`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	331	2575
1	1085	2457
2	6443	2457

Stop Event

1×	node limit

Counts

175 → 177

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

localize14.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 (/.f64 (sqrt.f64 2) -2) (-.f64 x (.f64 x 3)))
✓	0.7b	(-.f64 x (*.f64 x 3))

Compiler

Compiled 29 to 23 computations (20.7% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(.f64 (/.f64 (sqrt.f64 2) -2) (-.f64 x (.f64 x 3)))
0.0ms	x	@	0	(-.f64 x (*.f64 x 3))
0.0ms	x	@	inf	(-.f64 x (*.f64 x 3))
0.0ms	x	@	inf	(.f64 (/.f64 (sqrt.f64 2) -2) (-.f64 x (.f64 x 3)))
0.0ms	x	@	-inf	(.f64 (/.f64 (sqrt.f64 2) -2) (-.f64 x (.f64 x 3)))

rewrite65.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1044×	`rational.json-simplify-29`
1032×	`rational.json-simplify-42`
1002×	`rational.json-simplify-2`
726×	`rational.json-simplify-21`
684×	`rational.json-simplify-23`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	42
1	78	40
2	267	30
3	1494	18

Stop Event

1×	node limit

Counts

2 → 262

Calls

Call 1

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

Outputs

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

simplify104.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

800×	`rational.json-simplify-13`
750×	`rational.json-simplify-24`
688×	`rational.json-simplify-28`
648×	`rational.json-simplify-27`
534×	`rational.json-simplify-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	544	5066
1	2128	4386

Stop Event

1×	node limit

Counts

286 → 324

Calls

Call 1

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

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

eval785.0ms (10.9%)

Compiler: Compiled 29961 to 24934 computations (16.8% saved)

prune673.0ms (9.3%)

Pruning

17 alts after pruning (7 fresh and 10 done)

	Pruned	Kept	Total
New	2018	2	2020
Fresh	0	5	5
Picked	0	1	1
Done	0	9	9
Total	2018	17	2035

Error

Counts

2035 → 17

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)))
	30.2b	(/.f64 (*.f64 (sqrt.f64 2) -1/4) (/.f64 1/4 (neg.f64 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)))
✓	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))))
✓	30.4b	(.f64 (/.f64 (sqrt.f64 2) -2) (-.f64 x (.f64 x 3)))
	30.4b	(.f64 (/.f64 (sqrt.f64 2) -2) (+.f64 (neg.f64 x) (+.f64 (neg.f64 (.f64 x 4)) (*.f64 x 3))))
	30.3b	(.f64 (-.f64 (.f64 (sqrt.f64 2) 4) (*.f64 (sqrt.f64 2) 3)) x)
	30.4b	(.f64 (sqrt.f64 2) (-.f64 (/.f64 x 1/4) (.f64 x 3)))
✓	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 x x)))

Compiler

Compiled 168 to 142 computations (15.5% saved)

regimes111.0ms (1.5%)

Counts

31 → 2

Calls

Call 1

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

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

Calls

4 calls:

26.0ms	x
26.0ms	(+.f64 (.f64 x x) (.f64 x x))
25.0ms	(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))
24.0ms	(*.f64 x x)

Results

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

Compiler

Compiled 347 to 254 computations (26.8% saved)

bsearch15.0ms (0.2%)

Algorithm

1×	binary-search

Steps

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

Results

12.0ms

144×

body

256

valid

Compiler

Compiled 175 to 151 computations (13.7% saved)

regimes214.0ms (3%)

Counts

13 → 2

Calls

Call 1

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

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

Calls

4 calls:

104.0ms	x
62.0ms	(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))
13.0ms	(+.f64 (.f64 x x) (.f64 x x))
13.0ms	(*.f64 x x)

Results

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

Compiler

Compiled 117 to 80 computations (31.6% saved)

bsearch16.0ms (0.2%)

Algorithm

1×	binary-search

Steps

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

Results

14.0ms

144×

body

256

valid

Compiler

Compiled 148 to 124 computations (16.2% saved)

regimes8.0ms (0.1%)

Accuracy

Total -62.1b remaining (-14853.4%)

Threshold costs -62.1b (-14853.4%)

Counts

4 → 2

Calls

Call 1

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

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

Calls

1 calls:

7.0ms

Results

Error	Segments	Branch
0.4b	2	`x`

Compiler

Compiled 24 to 17 computations (29.2% saved)

bsearch16.0ms (0.2%)

Algorithm

1×	binary-search

Steps

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

Results

14.0ms

144×

body

256

valid

Compiler

Compiled 130 to 106 computations (18.5% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	138

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 x -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (.f64 (sqrt.f64 2) (neg.f64 x)) (/.f64 (.f64 (sqrt.f64 2) -1/4) (/.f64 1/4 (neg.f64 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 (sqrt.f64 2) (neg.f64 x)) (/.f64 (.f64 (sqrt.f64 2) -1/4) (/.f64 1/4 (neg.f64 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 43 computations (20.4% saved)

soundness171.0ms (2.4%)

Algorithm

3×	egg-herbie

Rules

1376×	`rational.json-simplify-1`
982×	`rational.json-simplify-4`
870×	`rational.json-simplify-3`
726×	`rational.json-simplify-2`
692×	`rational.json-simplify-6`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	10	17
2	13	17
3	16	17
4	21	17
5	21	17
0	103	1040
1	267	1032
2	1076	1032
3	7163	1032
0	7	17
1	10	17
2	13	17
3	16	17
4	21	17
5	21	17

Stop Event

1×	saturated
1×	node limit
1×	saturated

Compiler

Compiled 54 to 34 computations (37% saved)

end36.0ms (0.5%)

Compiler: Compiled 51 to 38 computations (25.5% saved)