Details

analyze8.0ms (0.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	50%	0%	0%	50%	0%	3
50%	25%	25%	0%	0%	50%	0%	4
75%	37.5%	12.5%	0%	0%	50%	0%	5
87.5%	43.7%	6.2%	0%	0%	50%	0%	6
93.8%	46.9%	3.1%	0%	0%	50%	0%	7
96.9%	48.4%	1.6%	0%	0%	50%	0%	8
98.4%	49.2%	0.8%	0%	0%	50%	0%	9
99.2%	49.6%	0.4%	0%	0%	50%	0%	10
99.6%	49.8%	0.2%	0%	0%	50%	0%	11
99.8%	49.9%	0.1%	0%	0%	50%	0%	12

Compiler

Compiled 21 to 16 computations (23.8% saved)

sample3.9s (39%)

Results

3.9s	8256×	body	256	valid
1.0ms	9×	body	256	invalid

Bogosity

preprocess13.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

24×	`rational.json-simplify-2`
8×	`rational.json-simplify-43`
4×	`rational.json-simplify-54`
4×	`rational.json-simplify-55`
2×	`rational.json-simplify-73`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	57
1	23	57
2	31	57
3	39	57
4	45	57
5	45	57
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

Outputs

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

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

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

Compiler

Compiled 21 to 16 computations (23.8% saved)

simplify32.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

24×	`rational.json-simplify-2`
8×	`rational.json-simplify-43`
4×	`rational.json-simplify-54`
4×	`rational.json-simplify-55`
2×	`rational.json-simplify-73`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	57
1	23	57
2	31	57
3	39	57
4	45	57
5	45	57

Stop Event

1×

saturated

Counts

1 → 3

Calls

Call 1

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

Outputs

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

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

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

eval3.0ms (0%)

Compiler: Compiled 58 to 43 computations (25.9% saved)

prune3.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

4 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (-.f64 1 (.f64 v (.f64 3 v)))) (-.f64 1 (*.f64 v v))))
▶	0.0b	(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 v (.f64 v 3))))) (-.f64 1 (*.f64 v v)))

Status

Error

Program

▶

0.0b

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

▶

0.0b

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

Compiler

Compiled 40 to 32 computations (20% saved)

localize164.0ms (1.6%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 v (*.f64 v 3)))))
✓	0.0b	(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 v (.f64 v 3))))) (-.f64 1 (*.f64 v v)))
✓	0.2b	(.f64 v (.f64 v 3))

Compiler

Compiled 75 to 55 computations (26.7% saved)

series11.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	v	@	inf	(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 v (.f64 v 3))))) (-.f64 1 (*.f64 v v)))
2.0ms	v	@	inf	(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 v (*.f64 v 3)))))
2.0ms	v	@	0	(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 v (.f64 v 3))))) (-.f64 1 (*.f64 v v)))
1.0ms	v	@	0	(.f64 v (.f64 v 3))
1.0ms	v	@	0	(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 v (*.f64 v 3)))))

rewrite252.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1142×	`rational.json-simplify-49`
1080×	`rational.json-simplify-47`
716×	`rational.json-simplify-55`
710×	`exponential.json-3`
710×	`rational.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	109
1	147	109
2	422	109
3	1574	109
4	6439	109

Stop Event

1×	node limit

Counts

3 → 62

Calls

Call 1

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

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

Outputs

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

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

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

simplify216.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1378×	`rational.json-simplify-47`
1242×	`rational.json-simplify-54`
1196×	`rational.json-simplify-49`
990×	`rational.json-simplify-2`
834×	`rational.json-simplify-1`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	264	3744
1	586	3600
2	1150	3534
3	2404	3512
4	4488	3492

Stop Event

1×	node limit

Counts

98 → 189

Calls

Call 1

Inputs
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 1/4 (sqrt.f64 2))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 1/4 (.f64 (pow.f64 v 2) (+.f64 (.f64 -1 (sqrt.f64 2)) (*.f64 -3/2 (sqrt.f64 2))))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (.f64 1/4 (.f64 (pow.f64 v 4) (+.f64 (.f64 -9/8 (sqrt.f64 2)) (.f64 3/2 (sqrt.f64 2))))) (.f64 1/4 (.f64 (pow.f64 v 2) (+.f64 (.f64 -1 (sqrt.f64 2)) (*.f64 -3/2 (sqrt.f64 2)))))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (.f64 1/4 (.f64 (pow.f64 v 4) (+.f64 (.f64 -9/8 (sqrt.f64 2)) (.f64 3/2 (sqrt.f64 2))))) (+.f64 (.f64 1/4 (.f64 (pow.f64 v 2) (+.f64 (.f64 -1 (sqrt.f64 2)) (.f64 -3/2 (sqrt.f64 2))))) (.f64 1/4 (.f64 (pow.f64 v 6) (+.f64 (.f64 9/8 (sqrt.f64 2)) (*.f64 -27/16 (sqrt.f64 2))))))))
(.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))
(+.f64 (.f64 1/4 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))))
(+.f64 (.f64 1/4 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (+.f64 (.f64 1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (.f64 -1/4 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -3))))))
(+.f64 (.f64 1/4 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (+.f64 (.f64 1/4 (/.f64 (+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 -1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)))) (pow.f64 v 3))) (+.f64 (.f64 1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))))))
(.f64 1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))
(+.f64 (.f64 -1/4 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (.f64 1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))))
(+.f64 (.f64 -1/4 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (+.f64 (.f64 -1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (.f64 1/4 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -3))))))
(+.f64 (.f64 -1/4 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (+.f64 (.f64 -1/4 (/.f64 (+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 -1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)))) (pow.f64 v 3))) (+.f64 (.f64 -1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (.f64 1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))))))
(*.f64 1/4 (sqrt.f64 2))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (.f64 -9/32 (.f64 (sqrt.f64 2) (pow.f64 v 4))) (+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))))
(+.f64 (.f64 -9/32 (.f64 (sqrt.f64 2) (pow.f64 v 4))) (+.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (.f64 -27/64 (.f64 (sqrt.f64 2) (pow.f64 v 6))) (.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))))
(.f64 1/4 (.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))))
(+.f64 (.f64 1/4 (.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (.f64 1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))))
(+.f64 (.f64 1/4 (.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (+.f64 (.f64 -1/32 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (.f64 1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))))))
(+.f64 (.f64 1/64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5)))) (+.f64 (.f64 1/4 (.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (+.f64 (.f64 -1/32 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (.f64 1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))))))
(.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))))
(+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))))
(+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (.f64 1/32 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))))))
(+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (+.f64 (.f64 -1/64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5)))) (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (.f64 1/32 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))))))
(+.f64 (.f64 3 (.f64 v v)) 0)
(+.f64 (.f64 v v) (.f64 v (+.f64 v v)))
(+.f64 0 (.f64 3 (.f64 v v)))
(+.f64 (.f64 v (+.f64 v v)) (.f64 v v))
(-.f64 (.f64 3 (.f64 v v)) 0)
(-.f64 0 (neg.f64 (.f64 3 (.f64 v v))))
(-.f64 (-.f64 0 (-.f64 -1 (.f64 3 (.f64 v v)))) 1)
(/.f64 (.f64 3 (.f64 v v)) 1)
(/.f64 (.f64 3 (.f64 v v)) (/.f64 (.f64 (.f64 v v) 6) (.f64 (.f64 v v) 6)))
(pow.f64 (.f64 3 (.f64 v v)) 1)
(neg.f64 (neg.f64 (.f64 3 (.f64 v v))))
(fabs.f64 (.f64 3 (.f64 v v)))
(fabs.f64 (neg.f64 (.f64 3 (.f64 v v))))
(fabs.f64 (/.f64 (.f64 3 (.f64 v v)) (fabs.f64 (/.f64 (.f64 (.f64 v v) 6) (.f64 (.f64 v v) 6)))))
(fabs.f64 (.f64 (fabs.f64 v) (.f64 v 3)))
(fabs.f64 (.f64 (.f64 3 (fabs.f64 v)) v))
(fabs.f64 (.f64 v (neg.f64 (.f64 v 3))))
(fabs.f64 (.f64 v (.f64 3 (fabs.f64 v))))
(fabs.f64 (.f64 v (/.f64 (.f64 v 3) (fabs.f64 (/.f64 (.f64 v 3) (.f64 v 3))))))
(fabs.f64 (.f64 (fabs.f64 v) (neg.f64 (.f64 v 3))))
(fabs.f64 (.f64 (fabs.f64 v) (/.f64 (.f64 v 3) (fabs.f64 (/.f64 (.f64 v 3) (.f64 v 3))))))
(fabs.f64 (.f64 (neg.f64 v) (.f64 v 3)))
(fabs.f64 (.f64 (neg.f64 v) (neg.f64 (.f64 v 3))))
(fabs.f64 (.f64 (neg.f64 v) (.f64 3 (fabs.f64 v))))
(fabs.f64 (.f64 (neg.f64 v) (/.f64 (.f64 v 3) (fabs.f64 (/.f64 (.f64 v 3) (.f64 v 3))))))
(fabs.f64 (.f64 (/.f64 v (fabs.f64 (/.f64 v v))) (.f64 v 3)))
(fabs.f64 (.f64 (/.f64 v (fabs.f64 (/.f64 v v))) (neg.f64 (.f64 v 3))))
(fabs.f64 (.f64 (/.f64 v (fabs.f64 (/.f64 v v))) (.f64 3 (fabs.f64 v))))
(fabs.f64 (.f64 (/.f64 v (fabs.f64 (/.f64 v v))) (/.f64 (.f64 v 3) (fabs.f64 (/.f64 (.f64 v 3) (.f64 v 3))))))
(fabs.f64 (.f64 (.f64 v 3) (fabs.f64 v)))
(fabs.f64 (.f64 (.f64 v 3) (neg.f64 v)))
(fabs.f64 (.f64 (.f64 v 3) (/.f64 v (fabs.f64 (/.f64 v v)))))
(fabs.f64 (.f64 (neg.f64 (.f64 v 3)) v))
(fabs.f64 (.f64 (neg.f64 (.f64 v 3)) (fabs.f64 v)))
(fabs.f64 (.f64 (neg.f64 (.f64 v 3)) (neg.f64 v)))
(fabs.f64 (.f64 (neg.f64 (.f64 v 3)) (/.f64 v (fabs.f64 (/.f64 v v)))))
(fabs.f64 (.f64 (.f64 3 (fabs.f64 v)) (neg.f64 v)))
(fabs.f64 (.f64 (.f64 3 (fabs.f64 v)) (/.f64 v (fabs.f64 (/.f64 v v)))))
(fabs.f64 (.f64 (/.f64 (.f64 v 3) (fabs.f64 (/.f64 (.f64 v 3) (.f64 v 3)))) v))
(fabs.f64 (.f64 (/.f64 (.f64 v 3) (fabs.f64 (/.f64 (.f64 v 3) (.f64 v 3)))) (fabs.f64 v)))
(fabs.f64 (.f64 (/.f64 (.f64 v 3) (fabs.f64 (/.f64 (.f64 v 3) (.f64 v 3)))) (neg.f64 v)))
(fabs.f64 (.f64 (/.f64 (.f64 v 3) (fabs.f64 (/.f64 (.f64 v 3) (.f64 v 3)))) (/.f64 v (fabs.f64 (/.f64 v v)))))
(fabs.f64 (/.f64 (neg.f64 (.f64 3 (.f64 v v))) (fabs.f64 (/.f64 (.f64 (.f64 v v) 6) (.f64 (.f64 v v) 6)))))
(fabs.f64 (/.f64 (.f64 3 (.f64 v v)) (neg.f64 (/.f64 (.f64 (.f64 v v) 6) (.f64 (.f64 v v) 6)))))
(+.f64 (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (.f64 (/.f64 (sqrt.f64 2) 4) (-.f64 1 (*.f64 v v)))) 0)
(+.f64 0 (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (.f64 (/.f64 (sqrt.f64 2) 4) (-.f64 1 (*.f64 v v)))))
(-.f64 (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (.f64 (/.f64 (sqrt.f64 2) 4) (-.f64 1 (*.f64 v v)))) 0)
(-.f64 0 (neg.f64 (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (.f64 (/.f64 (sqrt.f64 2) 4) (-.f64 1 (*.f64 v v))))))
(-.f64 (-.f64 0 (-.f64 -1 (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (.f64 (/.f64 (sqrt.f64 2) 4) (-.f64 1 (*.f64 v v)))))) 1)
(/.f64 (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (.f64 (/.f64 (sqrt.f64 2) 4) (-.f64 1 (*.f64 v v)))) 1)
(/.f64 (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (.f64 (/.f64 (sqrt.f64 2) 4) (-.f64 1 (.f64 v v)))) (/.f64 (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (.f64 (/.f64 (sqrt.f64 2) 4) (-.f64 1 (.f64 v v)))) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (.f64 (/.f64 (sqrt.f64 2) 4) (-.f64 1 (*.f64 v v))))))
(pow.f64 (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (.f64 (/.f64 (sqrt.f64 2) 4) (-.f64 1 (*.f64 v v)))) 1)
(neg.f64 (neg.f64 (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (.f64 (/.f64 (sqrt.f64 2) 4) (-.f64 1 (*.f64 v v))))))
(+.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v))))) 0)
(+.f64 0 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v))))))
(-.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v))))) 0)
(-.f64 0 (neg.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))))
(-.f64 (-.f64 0 (-.f64 -1 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v))))))) 1)
(/.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v))))) 1)
(/.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (/.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))))
(pow.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v))))) 1)
(neg.f64 (neg.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))))

Outputs
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 1/4 (sqrt.f64 2))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 1/4 (.f64 (pow.f64 v 2) (+.f64 (.f64 -1 (sqrt.f64 2)) (*.f64 -3/2 (sqrt.f64 2))))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 1/4 (.f64 (pow.f64 v 2) (+.f64 (.f64 (sqrt.f64 2) -1) (*.f64 (sqrt.f64 2) -3/2)))))
(.f64 1/4 (+.f64 (.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 2) -5/2)) (sqrt.f64 2)))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 2) -5/8)))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (.f64 1/4 (.f64 (pow.f64 v 4) (+.f64 (.f64 -9/8 (sqrt.f64 2)) (.f64 3/2 (sqrt.f64 2))))) (.f64 1/4 (.f64 (pow.f64 v 2) (+.f64 (.f64 -1 (sqrt.f64 2)) (*.f64 -3/2 (sqrt.f64 2)))))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (.f64 1/4 (.f64 (pow.f64 v 2) (+.f64 (.f64 (sqrt.f64 2) -1) (.f64 (sqrt.f64 2) -3/2)))) (.f64 1/4 (.f64 (pow.f64 v 4) (+.f64 (.f64 (sqrt.f64 2) -9/8) (*.f64 (sqrt.f64 2) 3/2))))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 1/4 (+.f64 (.f64 (pow.f64 v 4) (.f64 (sqrt.f64 2) 3/8)) (.f64 (pow.f64 v 2) (.f64 (sqrt.f64 2) -5/2)))))
(+.f64 (+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 (pow.f64 v 2) (.f64 (sqrt.f64 2) -5/8))) (.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 2) 3/32)))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (.f64 (pow.f64 v 2) (.f64 (sqrt.f64 2) -5/8)) (.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 2) 3/32))))
(.f64 1/4 (+.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 v 4) 3/8) (.f64 (pow.f64 v 2) -5/2)))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (.f64 1/4 (.f64 (pow.f64 v 4) (+.f64 (.f64 -9/8 (sqrt.f64 2)) (.f64 3/2 (sqrt.f64 2))))) (+.f64 (.f64 1/4 (.f64 (pow.f64 v 2) (+.f64 (.f64 -1 (sqrt.f64 2)) (.f64 -3/2 (sqrt.f64 2))))) (.f64 1/4 (.f64 (pow.f64 v 6) (+.f64 (.f64 9/8 (sqrt.f64 2)) (*.f64 -27/16 (sqrt.f64 2))))))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (.f64 1/4 (.f64 (pow.f64 v 4) (+.f64 (.f64 (sqrt.f64 2) -9/8) (.f64 (sqrt.f64 2) 3/2)))) (+.f64 (.f64 1/4 (.f64 (pow.f64 v 2) (+.f64 (.f64 (sqrt.f64 2) -1) (.f64 (sqrt.f64 2) -3/2)))) (.f64 1/4 (.f64 (pow.f64 v 6) (+.f64 (.f64 (sqrt.f64 2) 9/8) (*.f64 (sqrt.f64 2) -27/16)))))))
(+.f64 (.f64 1/4 (+.f64 (.f64 (pow.f64 v 6) (.f64 (sqrt.f64 2) -9/16)) (.f64 (pow.f64 v 2) (.f64 (sqrt.f64 2) -5/2)))) (+.f64 (.f64 (pow.f64 v 4) (.f64 1/4 (.f64 (sqrt.f64 2) 3/8))) (*.f64 1/4 (sqrt.f64 2))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (.f64 (pow.f64 v 2) (.f64 (sqrt.f64 2) -5/8)) (+.f64 (.f64 (pow.f64 v 4) (.f64 (sqrt.f64 2) 3/32)) (.f64 (pow.f64 v 6) (*.f64 (sqrt.f64 2) -9/64)))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (.f64 (pow.f64 v 4) (.f64 (sqrt.f64 2) 3/32)) (+.f64 (.f64 (pow.f64 v 2) (.f64 (sqrt.f64 2) -5/8)) (.f64 (pow.f64 v 6) (*.f64 (sqrt.f64 2) -9/64)))))
(.f64 1/4 (+.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 v 6) -9/16) (.f64 (pow.f64 v 4) 3/8))) (+.f64 (sqrt.f64 2) (.f64 (pow.f64 v 2) (.f64 (sqrt.f64 2) -5/2)))))
(.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))
(.f64 -1/4 (.f64 (pow.f64 v 3) (sqrt.f64 -6)))
(.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -6) -1/4))
(.f64 (pow.f64 v 3) (.f64 -1/4 (sqrt.f64 -6)))
(+.f64 (.f64 1/4 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (.f64 1/4 (.f64 v (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6)))))
(+.f64 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -6) -1/4)) (.f64 (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6)) (*.f64 1/4 v)))
(+.f64 (.f64 (pow.f64 v 3) (.f64 -1/4 (sqrt.f64 -6))) (.f64 (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6)) (*.f64 v 1/4)))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (.f64 v (.f64 1/4 (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6)))))
(+.f64 (.f64 1/4 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (+.f64 (.f64 1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (.f64 -1/4 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -3))))))
(+.f64 (.f64 1/4 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6)))) (+.f64 (.f64 -1/4 (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (.f64 1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v))))
(+.f64 (+.f64 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -6) -1/4)) (.f64 (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6)) (.f64 1/4 v))) (.f64 1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v)))
(+.f64 (.f64 (pow.f64 v 3) (.f64 -1/4 (sqrt.f64 -6))) (.f64 1/4 (+.f64 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6))) (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v))))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (.f64 1/4 (+.f64 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6))) (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v))))
(+.f64 (.f64 1/4 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (+.f64 (.f64 1/4 (/.f64 (+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 -1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)))) (pow.f64 v 3))) (+.f64 (.f64 1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))))))
(+.f64 (.f64 1/4 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6)))) (+.f64 (+.f64 (.f64 -1/4 (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (.f64 1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v))) (.f64 1/4 (/.f64 (+.f64 (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -27)) -1/8) (*.f64 -1/16 (/.f64 (sqrt.f64 2) (sqrt.f64 -243)))) (pow.f64 v 3)))))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6)) (.f64 1/4 v)) (+.f64 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -6) -1/4)) (+.f64 (.f64 1/4 (/.f64 (+.f64 (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -27)) -1/8) (.f64 -1/16 (/.f64 (sqrt.f64 2) (sqrt.f64 -243)))) (pow.f64 v 3))) (.f64 1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v)))))
(+.f64 (.f64 (pow.f64 v 3) (.f64 -1/4 (sqrt.f64 -6))) (+.f64 (.f64 1/4 (+.f64 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v) (/.f64 (+.f64 (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -27)) -1/8) (.f64 -1/16 (/.f64 (sqrt.f64 2) (sqrt.f64 -243)))) (pow.f64 v 3)))) (.f64 (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6)) (.f64 v 1/4))))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (.f64 1/4 (+.f64 (/.f64 (+.f64 (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -27)) -1/8) (.f64 -1/16 (/.f64 (sqrt.f64 2) (sqrt.f64 -243)))) (pow.f64 v 3)) (+.f64 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6))) (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v)))))
(+.f64 (.f64 (pow.f64 v 3) (.f64 -1/4 (sqrt.f64 -6))) (.f64 1/4 (+.f64 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6))) (+.f64 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v) (/.f64 (+.f64 (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -27)) -1/8) (*.f64 -1/16 (/.f64 (sqrt.f64 2) (sqrt.f64 -243)))) (pow.f64 v 3))))))
(.f64 1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))
(.f64 1/4 (.f64 (pow.f64 v 3) (sqrt.f64 -6)))
(.f64 (pow.f64 v 3) (.f64 1/4 (sqrt.f64 -6)))
(+.f64 (.f64 -1/4 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (.f64 1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))))
(+.f64 (.f64 1/4 (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (.f64 v (.f64 (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6)) -1/4)))
(+.f64 (.f64 1/4 (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (.f64 (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6)) (*.f64 -1/4 v)))
(+.f64 (.f64 1/4 (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (.f64 (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6)) (*.f64 v -1/4)))
(+.f64 (.f64 (pow.f64 v 3) (.f64 1/4 (sqrt.f64 -6))) (.f64 v (.f64 -1/4 (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6)))))
(+.f64 (.f64 -1/4 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (+.f64 (.f64 -1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (.f64 1/4 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -3))))))
(+.f64 (.f64 v (.f64 (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6)) -1/4)) (+.f64 (.f64 1/4 (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (.f64 -1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v))))
(+.f64 (+.f64 (.f64 1/4 (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (.f64 (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6)) (.f64 -1/4 v))) (.f64 -1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v)))
(+.f64 (.f64 1/4 (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (.f64 -1/4 (+.f64 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6))) (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v))))
(+.f64 (.f64 (pow.f64 v 3) (.f64 1/4 (sqrt.f64 -6))) (.f64 -1/4 (+.f64 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6))) (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v))))
(+.f64 (.f64 -1/4 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (+.f64 (.f64 -1/4 (/.f64 (+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 -1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)))) (pow.f64 v 3))) (+.f64 (.f64 -1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (.f64 1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))))))
(+.f64 (.f64 v (.f64 (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6)) -1/4)) (+.f64 (+.f64 (.f64 1/4 (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (.f64 -1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v))) (.f64 -1/4 (/.f64 (+.f64 (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -27)) -1/8) (*.f64 -1/16 (/.f64 (sqrt.f64 2) (sqrt.f64 -243)))) (pow.f64 v 3)))))
(+.f64 (.f64 -1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v)) (+.f64 (+.f64 (.f64 1/4 (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (.f64 (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6)) (.f64 -1/4 v))) (.f64 -1/4 (/.f64 (+.f64 (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -27)) -1/8) (*.f64 -1/16 (/.f64 (sqrt.f64 2) (sqrt.f64 -243)))) (pow.f64 v 3)))))
(+.f64 (.f64 1/4 (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (+.f64 (.f64 -1/4 (+.f64 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6))) (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v))) (.f64 -1/4 (/.f64 (+.f64 (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -27)) -1/8) (.f64 -1/16 (/.f64 (sqrt.f64 2) (sqrt.f64 -243)))) (pow.f64 v 3)))))
(+.f64 (.f64 1/4 (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (.f64 -1/4 (+.f64 (/.f64 (+.f64 (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -27)) -1/8) (.f64 -1/16 (/.f64 (sqrt.f64 2) (sqrt.f64 -243)))) (pow.f64 v 3)) (+.f64 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6))) (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v)))))
(+.f64 (.f64 (pow.f64 v 3) (.f64 1/4 (sqrt.f64 -6))) (.f64 -1/4 (+.f64 (/.f64 (+.f64 (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -27)) -1/8) (.f64 -1/16 (/.f64 (sqrt.f64 2) (sqrt.f64 -243)))) (pow.f64 v 3)) (+.f64 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6))) (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v)))))
(*.f64 1/4 (sqrt.f64 2))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) -3/8)))
(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 (pow.f64 v 2) -3/8)))
(+.f64 (.f64 -9/32 (.f64 (sqrt.f64 2) (pow.f64 v 4))) (+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 2) -3/8)) (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 4) -9/32))))
(+.f64 (.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 (pow.f64 v 2) -3/8))) (.f64 (pow.f64 v 4) (.f64 -9/32 (sqrt.f64 2))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 v 4) -9/32) (+.f64 1/4 (*.f64 (pow.f64 v 2) -3/8))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 v 2) -3/8) (+.f64 1/4 (*.f64 (pow.f64 v 4) -9/32))))
(+.f64 (.f64 -9/32 (.f64 (sqrt.f64 2) (pow.f64 v 4))) (+.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (.f64 -27/64 (.f64 (sqrt.f64 2) (pow.f64 v 6))) (.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 2) -3/8)) (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 6) -27/64))) (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 4) -9/32))))
(+.f64 (.f64 (pow.f64 v 4) (.f64 -9/32 (sqrt.f64 2))) (+.f64 (.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 (pow.f64 v 2) -3/8))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 6) -27/64))))
(+.f64 (.f64 (pow.f64 v 4) (.f64 (sqrt.f64 2) -9/32)) (.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 v 6) -27/64) (+.f64 1/4 (*.f64 (pow.f64 v 2) -3/8)))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 v 4) -9/32) (+.f64 (.f64 (pow.f64 v 2) -3/8) (+.f64 1/4 (.f64 (pow.f64 v 6) -27/64)))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 v 6) -27/64) (+.f64 (.f64 (pow.f64 v 2) -3/8) (+.f64 1/4 (.f64 (pow.f64 v 4) -9/32)))))
(.f64 1/4 (.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))))
(.f64 1/4 (.f64 v (sqrt.f64 -6)))
(.f64 v (.f64 (sqrt.f64 -6) 1/4))
(.f64 v (.f64 1/4 (sqrt.f64 -6)))
(+.f64 (.f64 1/4 (.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (.f64 1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))))
(+.f64 (.f64 1/4 (.f64 v (sqrt.f64 -6))) (.f64 1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))))
(+.f64 (.f64 v (.f64 (sqrt.f64 -6) 1/4)) (.f64 1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))))
(+.f64 (.f64 v (.f64 1/4 (sqrt.f64 -6))) (.f64 1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))))
(+.f64 (.f64 1/4 (.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (+.f64 (.f64 -1/32 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (.f64 1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))))))
(+.f64 (.f64 1/4 (.f64 v (sqrt.f64 -6))) (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (.f64 -1/32 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -27))))))
(+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (+.f64 (.f64 v (.f64 (sqrt.f64 -6) 1/4)) (.f64 -1/32 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -27))))))
(+.f64 (.f64 v (.f64 1/4 (sqrt.f64 -6))) (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (.f64 -1/32 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -27))))))
(+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (+.f64 (.f64 v (.f64 1/4 (sqrt.f64 -6))) (.f64 -1/32 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -27))))))
(+.f64 (.f64 1/64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5)))) (+.f64 (.f64 1/4 (.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (+.f64 (.f64 -1/32 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (.f64 1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))))))
(+.f64 (.f64 1/4 (.f64 v (sqrt.f64 -6))) (+.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (.f64 -1/32 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -27))))) (.f64 1/64 (/.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -243) (pow.f64 v 5))))))
(+.f64 (.f64 v (.f64 (sqrt.f64 -6) 1/4)) (+.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (.f64 -1/32 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -27))))) (.f64 1/64 (/.f64 (sqrt.f64 2) (pow.f64 (.f64 v (sqrt.f64 -3)) 5)))))
(+.f64 (.f64 v (.f64 1/4 (sqrt.f64 -6))) (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (+.f64 (.f64 -1/32 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -27)))) (.f64 1/64 (/.f64 (sqrt.f64 2) (pow.f64 (.f64 v (sqrt.f64 -3)) 5))))))
(+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (+.f64 (.f64 -1/32 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -27)))) (+.f64 (.f64 v (.f64 1/4 (sqrt.f64 -6))) (.f64 1/64 (/.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -243) (pow.f64 v 5)))))))
(+.f64 (.f64 -1/32 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -27)))) (+.f64 (.f64 v (.f64 1/4 (sqrt.f64 -6))) (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (.f64 1/64 (/.f64 (sqrt.f64 2) (pow.f64 (.f64 v (sqrt.f64 -3)) 5))))))
(.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))))
(.f64 -1/4 (.f64 v (sqrt.f64 -6)))
(.f64 v (.f64 (sqrt.f64 -6) -1/4))
(.f64 v (.f64 -1/4 (sqrt.f64 -6)))
(+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))))
(+.f64 (.f64 -1/4 (.f64 v (sqrt.f64 -6))) (.f64 -1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))))
(+.f64 (.f64 v (.f64 (sqrt.f64 -6) -1/4)) (.f64 -1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))))
(+.f64 (.f64 v (.f64 -1/4 (sqrt.f64 -6))) (.f64 -1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))))
(+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (.f64 1/32 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))))))
(+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (+.f64 (.f64 -1/4 (.f64 v (sqrt.f64 -6))) (.f64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -27))) 1/32)))
(+.f64 (.f64 v (.f64 (sqrt.f64 -6) -1/4)) (+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (.f64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -27))) 1/32)))
(+.f64 (.f64 v (.f64 -1/4 (sqrt.f64 -6))) (+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (.f64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -27))) 1/32)))
(+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (+.f64 (.f64 v (.f64 -1/4 (sqrt.f64 -6))) (.f64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -27))) 1/32)))
(+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (+.f64 (.f64 -1/64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5)))) (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (.f64 1/32 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))))))
(+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (+.f64 (+.f64 (.f64 -1/4 (.f64 v (sqrt.f64 -6))) (.f64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -27))) 1/32)) (.f64 (/.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -243) (pow.f64 v 5))) -1/64)))
(+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (+.f64 (.f64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -27))) 1/32) (+.f64 (.f64 v (.f64 (sqrt.f64 -6) -1/4)) (.f64 (/.f64 (sqrt.f64 2) (pow.f64 (.f64 v (sqrt.f64 -3)) 5)) -1/64))))
(+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (+.f64 (.f64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -27))) 1/32) (+.f64 (.f64 v (.f64 -1/4 (sqrt.f64 -6))) (.f64 (/.f64 (sqrt.f64 2) (pow.f64 (.f64 v (sqrt.f64 -3)) 5)) -1/64))))
(+.f64 (.f64 v (.f64 -1/4 (sqrt.f64 -6))) (+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (+.f64 (.f64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -27))) 1/32) (.f64 (/.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -243) (pow.f64 v 5))) -1/64))))
(+.f64 (.f64 v (.f64 -1/4 (sqrt.f64 -6))) (+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (+.f64 (.f64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -27))) 1/32) (.f64 (/.f64 (sqrt.f64 2) (pow.f64 (.f64 v (sqrt.f64 -3)) 5)) -1/64))))
(+.f64 (.f64 3 (.f64 v v)) 0)
(.f64 3 (.f64 v v))
(+.f64 (.f64 v v) (.f64 v (+.f64 v v)))
(*.f64 v (+.f64 v (+.f64 v v)))
(+.f64 0 (.f64 3 (.f64 v v)))
(.f64 3 (.f64 v v))
(+.f64 (.f64 v (+.f64 v v)) (.f64 v v))
(*.f64 v (+.f64 v (+.f64 v v)))
(-.f64 (.f64 3 (.f64 v v)) 0)
(.f64 3 (.f64 v v))
(-.f64 0 (neg.f64 (.f64 3 (.f64 v v))))
(.f64 3 (.f64 v v))
(-.f64 (-.f64 0 (-.f64 -1 (.f64 3 (.f64 v v)))) 1)
(.f64 3 (.f64 v v))
(/.f64 (.f64 3 (.f64 v v)) 1)
(.f64 3 (.f64 v v))
(/.f64 (.f64 3 (.f64 v v)) (/.f64 (.f64 (.f64 v v) 6) (.f64 (.f64 v v) 6)))
(/.f64 (.f64 3 (.f64 v v)) (/.f64 (.f64 6 (.f64 v v)) (.f64 6 (.f64 v v))))
(/.f64 (.f64 3 (.f64 v v)) (/.f64 (.f64 (.f64 v v) 12) (.f64 (.f64 v v) 12)))
(/.f64 (.f64 3 (.f64 v v)) (/.f64 (.f64 v (.f64 v 6)) (.f64 v (.f64 v 6))))
(pow.f64 (.f64 3 (.f64 v v)) 1)
(.f64 3 (.f64 v v))
(neg.f64 (neg.f64 (.f64 3 (.f64 v v))))
(.f64 3 (.f64 v v))
(fabs.f64 (.f64 3 (.f64 v v)))
(.f64 3 (.f64 v v))
(fabs.f64 (neg.f64 (.f64 3 (.f64 v v))))
(.f64 3 (.f64 v v))
(fabs.f64 (/.f64 (.f64 3 (.f64 v v)) (fabs.f64 (/.f64 (.f64 (.f64 v v) 6) (.f64 (.f64 v v) 6)))))
(fabs.f64 (/.f64 (.f64 3 (.f64 v v)) (/.f64 (.f64 6 (.f64 v v)) (.f64 6 (.f64 v v)))))
(fabs.f64 (/.f64 (.f64 3 (.f64 v v)) (/.f64 (.f64 (.f64 v v) 12) (.f64 (.f64 v v) 12))))
(fabs.f64 (/.f64 (.f64 3 (.f64 v v)) (/.f64 (.f64 v (.f64 v 6)) (.f64 v (.f64 v 6)))))
(fabs.f64 (.f64 (fabs.f64 v) (.f64 v 3)))
(.f64 3 (.f64 v v))
(fabs.f64 (.f64 (.f64 3 (fabs.f64 v)) v))
(.f64 3 (.f64 v v))
(fabs.f64 (.f64 v (neg.f64 (.f64 v 3))))
(.f64 3 (.f64 v v))
(fabs.f64 (.f64 v (.f64 3 (fabs.f64 v))))
(.f64 3 (.f64 v v))
(fabs.f64 (.f64 v (/.f64 (.f64 v 3) (fabs.f64 (/.f64 (.f64 v 3) (.f64 v 3))))))
(.f64 3 (.f64 v v))
(fabs.f64 (.f64 (fabs.f64 v) (neg.f64 (.f64 v 3))))
(.f64 3 (.f64 v v))
(fabs.f64 (.f64 (fabs.f64 v) (/.f64 (.f64 v 3) (fabs.f64 (/.f64 (.f64 v 3) (.f64 v 3))))))
(.f64 3 (.f64 v v))
(fabs.f64 (.f64 (neg.f64 v) (.f64 v 3)))
(.f64 3 (.f64 v v))
(fabs.f64 (.f64 (neg.f64 v) (neg.f64 (.f64 v 3))))
(.f64 3 (.f64 v v))
(fabs.f64 (.f64 (neg.f64 v) (.f64 3 (fabs.f64 v))))
(.f64 3 (.f64 v v))
(fabs.f64 (.f64 (neg.f64 v) (/.f64 (.f64 v 3) (fabs.f64 (/.f64 (.f64 v 3) (.f64 v 3))))))
(.f64 3 (.f64 v v))
(fabs.f64 (.f64 (/.f64 v (fabs.f64 (/.f64 v v))) (.f64 v 3)))
(.f64 3 (.f64 v v))
(fabs.f64 (.f64 (/.f64 v (fabs.f64 (/.f64 v v))) (neg.f64 (.f64 v 3))))
(.f64 3 (.f64 v v))
(fabs.f64 (.f64 (/.f64 v (fabs.f64 (/.f64 v v))) (.f64 3 (fabs.f64 v))))
(.f64 3 (.f64 v v))
(fabs.f64 (.f64 (/.f64 v (fabs.f64 (/.f64 v v))) (/.f64 (.f64 v 3) (fabs.f64 (/.f64 (.f64 v 3) (.f64 v 3))))))
(.f64 3 (.f64 v v))
(fabs.f64 (.f64 (.f64 v 3) (fabs.f64 v)))
(.f64 3 (.f64 v v))
(fabs.f64 (.f64 (.f64 v 3) (neg.f64 v)))
(.f64 3 (.f64 v v))
(fabs.f64 (.f64 (.f64 v 3) (/.f64 v (fabs.f64 (/.f64 v v)))))
(.f64 3 (.f64 v v))
(fabs.f64 (.f64 (neg.f64 (.f64 v 3)) v))
(.f64 3 (.f64 v v))
(fabs.f64 (.f64 (neg.f64 (.f64 v 3)) (fabs.f64 v)))
(.f64 3 (.f64 v v))
(fabs.f64 (.f64 (neg.f64 (.f64 v 3)) (neg.f64 v)))
(.f64 3 (.f64 v v))
(fabs.f64 (.f64 (neg.f64 (.f64 v 3)) (/.f64 v (fabs.f64 (/.f64 v v)))))
(.f64 3 (.f64 v v))
(fabs.f64 (.f64 (.f64 3 (fabs.f64 v)) (neg.f64 v)))
(.f64 3 (.f64 v v))
(fabs.f64 (.f64 (.f64 3 (fabs.f64 v)) (/.f64 v (fabs.f64 (/.f64 v v)))))
(.f64 3 (.f64 v v))
(fabs.f64 (.f64 (/.f64 (.f64 v 3) (fabs.f64 (/.f64 (.f64 v 3) (.f64 v 3)))) v))
(.f64 3 (.f64 v v))
(fabs.f64 (.f64 (/.f64 (.f64 v 3) (fabs.f64 (/.f64 (.f64 v 3) (.f64 v 3)))) (fabs.f64 v)))
(.f64 3 (.f64 v v))
(fabs.f64 (.f64 (/.f64 (.f64 v 3) (fabs.f64 (/.f64 (.f64 v 3) (.f64 v 3)))) (neg.f64 v)))
(.f64 3 (.f64 v v))
(fabs.f64 (.f64 (/.f64 (.f64 v 3) (fabs.f64 (/.f64 (.f64 v 3) (.f64 v 3)))) (/.f64 v (fabs.f64 (/.f64 v v)))))
(.f64 3 (.f64 v v))
(fabs.f64 (/.f64 (neg.f64 (.f64 3 (.f64 v v))) (fabs.f64 (/.f64 (.f64 (.f64 v v) 6) (.f64 (.f64 v v) 6)))))
(fabs.f64 (/.f64 (neg.f64 (.f64 3 (.f64 v v))) (/.f64 (.f64 6 (.f64 v v)) (.f64 6 (.f64 v v)))))
(fabs.f64 (/.f64 (neg.f64 (.f64 3 (.f64 v v))) (/.f64 (.f64 (.f64 v v) 12) (.f64 (.f64 v v) 12))))
(fabs.f64 (/.f64 (.f64 v (.f64 v -3)) (/.f64 (.f64 (.f64 v v) 12) (.f64 (.f64 v v) 12))))
(fabs.f64 (/.f64 (.f64 v (.f64 v -3)) (/.f64 (.f64 v (.f64 v 6)) (.f64 v (.f64 v 6)))))
(fabs.f64 (/.f64 (.f64 3 (.f64 v v)) (neg.f64 (/.f64 (.f64 (.f64 v v) 6) (.f64 (.f64 v v) 6)))))
(fabs.f64 (/.f64 (.f64 3 (.f64 v v)) (/.f64 (.f64 6 (.f64 v v)) (.f64 6 (.f64 v v)))))
(fabs.f64 (/.f64 (.f64 3 (.f64 v v)) (/.f64 (.f64 (.f64 v v) 12) (.f64 (.f64 v v) 12))))
(fabs.f64 (/.f64 (.f64 3 (.f64 v v)) (/.f64 (.f64 v (.f64 v 6)) (.f64 v (.f64 v 6)))))
(+.f64 (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (.f64 (/.f64 (sqrt.f64 2) 4) (-.f64 1 (*.f64 v v)))) 0)
(.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (.f64 (/.f64 (sqrt.f64 2) 4) (-.f64 1 (*.f64 v v))))
(.f64 (sqrt.f64 (-.f64 (.f64 v (.f64 v -3)) -1)) (.f64 (/.f64 (sqrt.f64 2) 4) (-.f64 1 (*.f64 v v))))
(.f64 (sqrt.f64 (+.f64 (.f64 v (.f64 v -3)) 1)) (.f64 (/.f64 (sqrt.f64 2) 4) (-.f64 1 (*.f64 v v))))
(+.f64 0 (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (.f64 (/.f64 (sqrt.f64 2) 4) (-.f64 1 (*.f64 v v)))))
(.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (.f64 (/.f64 (sqrt.f64 2) 4) (-.f64 1 (*.f64 v v))))
(.f64 (sqrt.f64 (-.f64 (.f64 v (.f64 v -3)) -1)) (.f64 (/.f64 (sqrt.f64 2) 4) (-.f64 1 (*.f64 v v))))
(.f64 (sqrt.f64 (+.f64 (.f64 v (.f64 v -3)) 1)) (.f64 (/.f64 (sqrt.f64 2) 4) (-.f64 1 (*.f64 v v))))
(-.f64 (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (.f64 (/.f64 (sqrt.f64 2) 4) (-.f64 1 (*.f64 v v)))) 0)
(.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (.f64 (/.f64 (sqrt.f64 2) 4) (-.f64 1 (*.f64 v v))))
(.f64 (sqrt.f64 (-.f64 (.f64 v (.f64 v -3)) -1)) (.f64 (/.f64 (sqrt.f64 2) 4) (-.f64 1 (*.f64 v v))))
(.f64 (sqrt.f64 (+.f64 (.f64 v (.f64 v -3)) 1)) (.f64 (/.f64 (sqrt.f64 2) 4) (-.f64 1 (*.f64 v v))))
(-.f64 0 (neg.f64 (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (.f64 (/.f64 (sqrt.f64 2) 4) (-.f64 1 (*.f64 v v))))))
(.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (.f64 (/.f64 (sqrt.f64 2) 4) (-.f64 1 (*.f64 v v))))
(.f64 (sqrt.f64 (-.f64 (.f64 v (.f64 v -3)) -1)) (.f64 (/.f64 (sqrt.f64 2) 4) (-.f64 1 (*.f64 v v))))
(.f64 (sqrt.f64 (+.f64 (.f64 v (.f64 v -3)) 1)) (.f64 (/.f64 (sqrt.f64 2) 4) (-.f64 1 (*.f64 v v))))
(-.f64 (-.f64 0 (-.f64 -1 (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (.f64 (/.f64 (sqrt.f64 2) 4) (-.f64 1 (*.f64 v v)))))) 1)
(.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (.f64 (/.f64 (sqrt.f64 2) 4) (-.f64 1 (*.f64 v v))))
(.f64 (sqrt.f64 (-.f64 (.f64 v (.f64 v -3)) -1)) (.f64 (/.f64 (sqrt.f64 2) 4) (-.f64 1 (*.f64 v v))))
(.f64 (sqrt.f64 (+.f64 (.f64 v (.f64 v -3)) 1)) (.f64 (/.f64 (sqrt.f64 2) 4) (-.f64 1 (*.f64 v v))))
(/.f64 (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (.f64 (/.f64 (sqrt.f64 2) 4) (-.f64 1 (*.f64 v v)))) 1)
(.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (.f64 (/.f64 (sqrt.f64 2) 4) (-.f64 1 (*.f64 v v))))
(.f64 (sqrt.f64 (-.f64 (.f64 v (.f64 v -3)) -1)) (.f64 (/.f64 (sqrt.f64 2) 4) (-.f64 1 (*.f64 v v))))
(.f64 (sqrt.f64 (+.f64 (.f64 v (.f64 v -3)) 1)) (.f64 (/.f64 (sqrt.f64 2) 4) (-.f64 1 (*.f64 v v))))
(/.f64 (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (.f64 (/.f64 (sqrt.f64 2) 4) (-.f64 1 (.f64 v v)))) (/.f64 (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (.f64 (/.f64 (sqrt.f64 2) 4) (-.f64 1 (.f64 v v)))) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (.f64 (/.f64 (sqrt.f64 2) 4) (-.f64 1 (*.f64 v v))))))
(.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (.f64 (/.f64 (sqrt.f64 2) 4) (-.f64 1 (*.f64 v v))))
(.f64 (sqrt.f64 (-.f64 (.f64 v (.f64 v -3)) -1)) (.f64 (/.f64 (sqrt.f64 2) 4) (-.f64 1 (*.f64 v v))))
(.f64 (sqrt.f64 (+.f64 (.f64 v (.f64 v -3)) 1)) (.f64 (/.f64 (sqrt.f64 2) 4) (-.f64 1 (*.f64 v v))))
(pow.f64 (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (.f64 (/.f64 (sqrt.f64 2) 4) (-.f64 1 (*.f64 v v)))) 1)
(.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (.f64 (/.f64 (sqrt.f64 2) 4) (-.f64 1 (*.f64 v v))))
(.f64 (sqrt.f64 (-.f64 (.f64 v (.f64 v -3)) -1)) (.f64 (/.f64 (sqrt.f64 2) 4) (-.f64 1 (*.f64 v v))))
(.f64 (sqrt.f64 (+.f64 (.f64 v (.f64 v -3)) 1)) (.f64 (/.f64 (sqrt.f64 2) 4) (-.f64 1 (*.f64 v v))))
(neg.f64 (neg.f64 (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (.f64 (/.f64 (sqrt.f64 2) 4) (-.f64 1 (*.f64 v v))))))
(.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (.f64 (/.f64 (sqrt.f64 2) 4) (-.f64 1 (*.f64 v v))))
(.f64 (sqrt.f64 (-.f64 (.f64 v (.f64 v -3)) -1)) (.f64 (/.f64 (sqrt.f64 2) 4) (-.f64 1 (*.f64 v v))))
(.f64 (sqrt.f64 (+.f64 (.f64 v (.f64 v -3)) 1)) (.f64 (/.f64 (sqrt.f64 2) 4) (-.f64 1 (*.f64 v v))))
(+.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v))))) 0)
(.f64 (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))) (/.f64 (sqrt.f64 2) 4))
(.f64 (sqrt.f64 (-.f64 (.f64 v (*.f64 v -3)) -1)) (/.f64 (sqrt.f64 2) 4))
(.f64 (sqrt.f64 (+.f64 (.f64 v (*.f64 v -3)) 1)) (/.f64 (sqrt.f64 2) 4))
(+.f64 0 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v))))))
(.f64 (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))) (/.f64 (sqrt.f64 2) 4))
(.f64 (sqrt.f64 (-.f64 (.f64 v (*.f64 v -3)) -1)) (/.f64 (sqrt.f64 2) 4))
(.f64 (sqrt.f64 (+.f64 (.f64 v (*.f64 v -3)) 1)) (/.f64 (sqrt.f64 2) 4))
(-.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v))))) 0)
(.f64 (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))) (/.f64 (sqrt.f64 2) 4))
(.f64 (sqrt.f64 (-.f64 (.f64 v (*.f64 v -3)) -1)) (/.f64 (sqrt.f64 2) 4))
(.f64 (sqrt.f64 (+.f64 (.f64 v (*.f64 v -3)) 1)) (/.f64 (sqrt.f64 2) 4))
(-.f64 0 (neg.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))))
(.f64 (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))) (/.f64 (sqrt.f64 2) 4))
(.f64 (sqrt.f64 (-.f64 (.f64 v (*.f64 v -3)) -1)) (/.f64 (sqrt.f64 2) 4))
(.f64 (sqrt.f64 (+.f64 (.f64 v (*.f64 v -3)) 1)) (/.f64 (sqrt.f64 2) 4))
(-.f64 (-.f64 0 (-.f64 -1 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v))))))) 1)
(.f64 (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))) (/.f64 (sqrt.f64 2) 4))
(.f64 (sqrt.f64 (-.f64 (.f64 v (*.f64 v -3)) -1)) (/.f64 (sqrt.f64 2) 4))
(.f64 (sqrt.f64 (+.f64 (.f64 v (*.f64 v -3)) 1)) (/.f64 (sqrt.f64 2) 4))
(/.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v))))) 1)
(.f64 (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))) (/.f64 (sqrt.f64 2) 4))
(.f64 (sqrt.f64 (-.f64 (.f64 v (*.f64 v -3)) -1)) (/.f64 (sqrt.f64 2) 4))
(.f64 (sqrt.f64 (+.f64 (.f64 v (*.f64 v -3)) 1)) (/.f64 (sqrt.f64 2) 4))
(/.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (/.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))))
(.f64 (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))) (/.f64 (sqrt.f64 2) 4))
(.f64 (sqrt.f64 (-.f64 (.f64 v (*.f64 v -3)) -1)) (/.f64 (sqrt.f64 2) 4))
(.f64 (sqrt.f64 (+.f64 (.f64 v (*.f64 v -3)) 1)) (/.f64 (sqrt.f64 2) 4))
(pow.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v))))) 1)
(.f64 (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))) (/.f64 (sqrt.f64 2) 4))
(.f64 (sqrt.f64 (-.f64 (.f64 v (*.f64 v -3)) -1)) (/.f64 (sqrt.f64 2) 4))
(.f64 (sqrt.f64 (+.f64 (.f64 v (*.f64 v -3)) 1)) (/.f64 (sqrt.f64 2) 4))
(neg.f64 (neg.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))))
(.f64 (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))) (/.f64 (sqrt.f64 2) 4))
(.f64 (sqrt.f64 (-.f64 (.f64 v (*.f64 v -3)) -1)) (/.f64 (sqrt.f64 2) 4))
(.f64 (sqrt.f64 (+.f64 (.f64 v (*.f64 v -3)) 1)) (/.f64 (sqrt.f64 2) 4))

localize58.0ms (0.6%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (-.f64 1 (.f64 v (.f64 3 v)))) (-.f64 1 (*.f64 v v))))
✓	0.2b	(.f64 v (.f64 3 v))

Compiler

Compiled 76 to 53 computations (30.3% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	v	@	inf	(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (-.f64 1 (.f64 v (.f64 3 v)))) (-.f64 1 (*.f64 v v))))
0.0ms	v	@	-inf	(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (-.f64 1 (.f64 v (.f64 3 v)))) (-.f64 1 (*.f64 v v))))
0.0ms	v	@	0	(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (-.f64 1 (.f64 v (.f64 3 v)))) (-.f64 1 (*.f64 v v))))
0.0ms	v	@	0	(.f64 v (.f64 3 v))
0.0ms	v	@	inf	(.f64 v (.f64 3 v))

rewrite171.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1172×	`rational.json-simplify-47`
730×	`exponential.json-3`
730×	`rational.json-1`
730×	`rational.json-2`
730×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	70
1	150	70
2	438	70
3	1629	70
4	6673	70

Stop Event

1×	node limit

Counts

2 → 53

Calls

Call 1

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

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

Outputs

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

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

simplify186.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1686×	`rational.json-simplify-47`
1362×	`rational.json-simplify-49`
964×	`rational.json-simplify-111`
924×	`rational.json-simplify-2`
798×	`rational.json-simplify-41`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	207	2721
1	450	2607
2	889	2533
3	2045	2521
4	4122	2501

Stop Event

1×	node limit

Counts

77 → 115

Calls

Call 1

Inputs
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 1/4 (sqrt.f64 2))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 1/4 (.f64 (pow.f64 v 2) (+.f64 (.f64 -1 (sqrt.f64 2)) (*.f64 -3/2 (sqrt.f64 2))))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (.f64 1/4 (.f64 (pow.f64 v 4) (+.f64 (.f64 -9/8 (sqrt.f64 2)) (.f64 3/2 (sqrt.f64 2))))) (.f64 1/4 (.f64 (pow.f64 v 2) (+.f64 (.f64 -1 (sqrt.f64 2)) (*.f64 -3/2 (sqrt.f64 2)))))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (.f64 1/4 (.f64 (pow.f64 v 4) (+.f64 (.f64 -9/8 (sqrt.f64 2)) (.f64 3/2 (sqrt.f64 2))))) (+.f64 (.f64 1/4 (.f64 (pow.f64 v 2) (+.f64 (.f64 -1 (sqrt.f64 2)) (.f64 -3/2 (sqrt.f64 2))))) (.f64 1/4 (.f64 (pow.f64 v 6) (+.f64 (.f64 9/8 (sqrt.f64 2)) (*.f64 -27/16 (sqrt.f64 2))))))))
(.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))
(+.f64 (.f64 1/4 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))))
(+.f64 (.f64 1/4 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (+.f64 (.f64 1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (.f64 -1/4 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -3))))))
(+.f64 (.f64 1/4 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (+.f64 (.f64 1/4 (/.f64 (+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 -1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)))) (pow.f64 v 3))) (+.f64 (.f64 1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))))))
(.f64 1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))
(+.f64 (.f64 -1/4 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (.f64 1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))))
(+.f64 (.f64 -1/4 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (+.f64 (.f64 -1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (.f64 1/4 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -3))))))
(+.f64 (.f64 -1/4 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (+.f64 (.f64 -1/4 (/.f64 (+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 -1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)))) (pow.f64 v 3))) (+.f64 (.f64 -1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (.f64 1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))))))
(+.f64 (.f64 3 (.f64 v v)) 0)
(+.f64 (.f64 v v) (.f64 v (+.f64 v v)))
(+.f64 0 (.f64 3 (.f64 v v)))
(+.f64 (.f64 v (+.f64 v v)) (.f64 v v))
(-.f64 (.f64 3 (.f64 v v)) 0)
(-.f64 0 (neg.f64 (.f64 3 (.f64 v v))))
(-.f64 (-.f64 0 (-.f64 -1 (.f64 3 (.f64 v v)))) 1)
(/.f64 (.f64 3 (.f64 v v)) 1)
(/.f64 (.f64 3 (.f64 v v)) (/.f64 (.f64 3 (.f64 v v)) (.f64 3 (.f64 v v))))
(pow.f64 (.f64 3 (.f64 v v)) 1)
(neg.f64 (neg.f64 (.f64 3 (.f64 v v))))
(fabs.f64 (.f64 3 (.f64 v v)))
(fabs.f64 (neg.f64 (.f64 3 (.f64 v v))))
(fabs.f64 (/.f64 (.f64 3 (.f64 v v)) (fabs.f64 (/.f64 (.f64 3 (.f64 v v)) (.f64 3 (.f64 v v))))))
(fabs.f64 (.f64 (.f64 3 (fabs.f64 v)) v))
(fabs.f64 (.f64 (fabs.f64 v) (.f64 v 3)))
(fabs.f64 (.f64 v (neg.f64 (.f64 v 3))))
(fabs.f64 (.f64 v (.f64 3 (fabs.f64 v))))
(fabs.f64 (.f64 v (/.f64 (.f64 v 3) (fabs.f64 (/.f64 (.f64 v 6) (.f64 v 6))))))
(fabs.f64 (.f64 (fabs.f64 v) (neg.f64 (.f64 v 3))))
(fabs.f64 (.f64 (fabs.f64 v) (/.f64 (.f64 v 3) (fabs.f64 (/.f64 (.f64 v 6) (.f64 v 6))))))
(fabs.f64 (.f64 (neg.f64 v) (.f64 v 3)))
(fabs.f64 (.f64 (neg.f64 v) (neg.f64 (.f64 v 3))))
(fabs.f64 (.f64 (neg.f64 v) (.f64 3 (fabs.f64 v))))
(fabs.f64 (.f64 (neg.f64 v) (/.f64 (.f64 v 3) (fabs.f64 (/.f64 (.f64 v 6) (.f64 v 6))))))
(fabs.f64 (.f64 (/.f64 v (fabs.f64 (/.f64 v v))) (.f64 v 3)))
(fabs.f64 (.f64 (/.f64 v (fabs.f64 (/.f64 v v))) (neg.f64 (.f64 v 3))))
(fabs.f64 (.f64 (/.f64 v (fabs.f64 (/.f64 v v))) (.f64 3 (fabs.f64 v))))
(fabs.f64 (.f64 (/.f64 v (fabs.f64 (/.f64 v v))) (/.f64 (.f64 v 3) (fabs.f64 (/.f64 (.f64 v 6) (.f64 v 6))))))
(fabs.f64 (.f64 (.f64 v 3) (fabs.f64 v)))
(fabs.f64 (.f64 (.f64 v 3) (neg.f64 v)))
(fabs.f64 (.f64 (.f64 v 3) (/.f64 v (fabs.f64 (/.f64 v v)))))
(fabs.f64 (.f64 (neg.f64 (.f64 v 3)) v))
(fabs.f64 (.f64 (neg.f64 (.f64 v 3)) (fabs.f64 v)))
(fabs.f64 (.f64 (neg.f64 (.f64 v 3)) (neg.f64 v)))
(fabs.f64 (.f64 (neg.f64 (.f64 v 3)) (/.f64 v (fabs.f64 (/.f64 v v)))))
(fabs.f64 (.f64 (.f64 3 (fabs.f64 v)) (neg.f64 v)))
(fabs.f64 (.f64 (.f64 3 (fabs.f64 v)) (/.f64 v (fabs.f64 (/.f64 v v)))))
(fabs.f64 (.f64 (/.f64 (.f64 v 3) (fabs.f64 (/.f64 (.f64 v 6) (.f64 v 6)))) v))
(fabs.f64 (.f64 (/.f64 (.f64 v 3) (fabs.f64 (/.f64 (.f64 v 6) (.f64 v 6)))) (fabs.f64 v)))
(fabs.f64 (.f64 (/.f64 (.f64 v 3) (fabs.f64 (/.f64 (.f64 v 6) (.f64 v 6)))) (neg.f64 v)))
(fabs.f64 (.f64 (/.f64 (.f64 v 3) (fabs.f64 (/.f64 (.f64 v 6) (.f64 v 6)))) (/.f64 v (fabs.f64 (/.f64 v v)))))
(fabs.f64 (/.f64 (neg.f64 (.f64 3 (.f64 v v))) (fabs.f64 (/.f64 (.f64 3 (.f64 v v)) (.f64 3 (.f64 v v))))))
(fabs.f64 (/.f64 (.f64 3 (.f64 v v)) (neg.f64 (/.f64 (.f64 3 (.f64 v v)) (.f64 3 (.f64 v v))))))
(+.f64 (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (.f64 (/.f64 (sqrt.f64 2) 4) (-.f64 1 (*.f64 v v)))) 0)
(+.f64 0 (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (.f64 (/.f64 (sqrt.f64 2) 4) (-.f64 1 (*.f64 v v)))))
(-.f64 (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (.f64 (/.f64 (sqrt.f64 2) 4) (-.f64 1 (*.f64 v v)))) 0)
(-.f64 0 (neg.f64 (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (.f64 (/.f64 (sqrt.f64 2) 4) (-.f64 1 (*.f64 v v))))))
(-.f64 (-.f64 0 (-.f64 -1 (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (.f64 (/.f64 (sqrt.f64 2) 4) (-.f64 1 (*.f64 v v)))))) 1)
(/.f64 (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (.f64 (/.f64 (sqrt.f64 2) 4) (-.f64 1 (*.f64 v v)))) 1)
(/.f64 (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (.f64 (/.f64 (sqrt.f64 2) 4) (-.f64 1 (.f64 v v)))) (/.f64 (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (.f64 (/.f64 (sqrt.f64 2) 4) (-.f64 1 (.f64 v v)))) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (.f64 (/.f64 (sqrt.f64 2) 4) (-.f64 1 (*.f64 v v))))))
(pow.f64 (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (.f64 (/.f64 (sqrt.f64 2) 4) (-.f64 1 (*.f64 v v)))) 1)
(neg.f64 (neg.f64 (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (.f64 (/.f64 (sqrt.f64 2) 4) (-.f64 1 (*.f64 v v))))))

Outputs
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 1/4 (sqrt.f64 2))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 1/4 (.f64 (pow.f64 v 2) (+.f64 (.f64 -1 (sqrt.f64 2)) (*.f64 -3/2 (sqrt.f64 2))))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 1/4 (.f64 (pow.f64 v 2) (+.f64 (.f64 (sqrt.f64 2) -1) (*.f64 (sqrt.f64 2) -3/2)))))
(.f64 1/4 (+.f64 (.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 2) -5/2)) (sqrt.f64 2)))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 2) -5/8)))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (.f64 1/4 (.f64 (pow.f64 v 4) (+.f64 (.f64 -9/8 (sqrt.f64 2)) (.f64 3/2 (sqrt.f64 2))))) (.f64 1/4 (.f64 (pow.f64 v 2) (+.f64 (.f64 -1 (sqrt.f64 2)) (*.f64 -3/2 (sqrt.f64 2)))))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (.f64 1/4 (.f64 (pow.f64 v 2) (+.f64 (.f64 (sqrt.f64 2) -1) (.f64 (sqrt.f64 2) -3/2)))) (.f64 1/4 (.f64 (pow.f64 v 4) (+.f64 (.f64 (sqrt.f64 2) -9/8) (*.f64 (sqrt.f64 2) 3/2))))))
(+.f64 (.f64 1/4 (+.f64 (.f64 (pow.f64 v 2) (.f64 (sqrt.f64 2) -5/2)) (sqrt.f64 2))) (.f64 (pow.f64 v 4) (.f64 1/4 (.f64 (sqrt.f64 2) 3/8))))
(+.f64 (.f64 (pow.f64 v 2) (.f64 (sqrt.f64 2) -5/8)) (+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 2) 3/32))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (.f64 (pow.f64 v 2) (.f64 (sqrt.f64 2) -5/8)) (.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 2) 3/32))))
(.f64 1/4 (+.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 v 4) 3/8) (.f64 (pow.f64 v 2) -5/2)))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (.f64 1/4 (.f64 (pow.f64 v 4) (+.f64 (.f64 -9/8 (sqrt.f64 2)) (.f64 3/2 (sqrt.f64 2))))) (+.f64 (.f64 1/4 (.f64 (pow.f64 v 2) (+.f64 (.f64 -1 (sqrt.f64 2)) (.f64 -3/2 (sqrt.f64 2))))) (.f64 1/4 (.f64 (pow.f64 v 6) (+.f64 (.f64 9/8 (sqrt.f64 2)) (*.f64 -27/16 (sqrt.f64 2))))))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (.f64 1/4 (.f64 (pow.f64 v 4) (+.f64 (.f64 (sqrt.f64 2) -9/8) (.f64 (sqrt.f64 2) 3/2)))) (+.f64 (.f64 1/4 (.f64 (pow.f64 v 2) (+.f64 (.f64 (sqrt.f64 2) -1) (.f64 (sqrt.f64 2) -3/2)))) (.f64 1/4 (.f64 (pow.f64 v 6) (+.f64 (.f64 (sqrt.f64 2) 9/8) (*.f64 (sqrt.f64 2) -27/16)))))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (.f64 (pow.f64 v 4) (.f64 1/4 (.f64 (sqrt.f64 2) 3/8))) (.f64 1/4 (+.f64 (.f64 (pow.f64 v 6) (.f64 (sqrt.f64 2) -9/16)) (.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 2) -5/2))))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (.f64 (pow.f64 v 4) (.f64 (sqrt.f64 2) 3/32)) (+.f64 (.f64 (pow.f64 v 2) (.f64 (sqrt.f64 2) -5/8)) (.f64 (pow.f64 v 6) (*.f64 (sqrt.f64 2) -9/64)))))
(.f64 1/4 (+.f64 (sqrt.f64 2) (+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 2) -5/2)) (.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 v 6) -9/16) (.f64 (pow.f64 v 4) 3/8))))))
(.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))
(.f64 -1/4 (.f64 (pow.f64 v 3) (sqrt.f64 -6)))
(.f64 (pow.f64 v 3) (.f64 -1/4 (sqrt.f64 -6)))
(+.f64 (.f64 1/4 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (.f64 1/4 (.f64 v (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6)))))
(+.f64 (.f64 (pow.f64 v 3) (.f64 -1/4 (sqrt.f64 -6))) (.f64 (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6)) (*.f64 v 1/4)))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (.f64 (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6)) (*.f64 v 1/4)))
(+.f64 (.f64 1/4 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (+.f64 (.f64 1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (.f64 -1/4 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -3))))))
(+.f64 (.f64 1/4 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6)))) (+.f64 (.f64 -1/4 (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (.f64 1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v))))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (+.f64 (.f64 1/4 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6)))) (.f64 1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v))))
(+.f64 (.f64 (pow.f64 v 3) (.f64 -1/4 (sqrt.f64 -6))) (.f64 1/4 (+.f64 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v) (.f64 v (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6))))))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (.f64 1/4 (+.f64 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6))) (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v))))
(+.f64 (.f64 1/4 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (+.f64 (.f64 1/4 (/.f64 (+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 -1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)))) (pow.f64 v 3))) (+.f64 (.f64 1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))))))
(+.f64 (.f64 1/4 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6)))) (+.f64 (+.f64 (.f64 -1/4 (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (.f64 1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v))) (.f64 1/4 (/.f64 (+.f64 (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -27)) -1/8) (*.f64 -1/16 (/.f64 (sqrt.f64 2) (sqrt.f64 -243)))) (pow.f64 v 3)))))
(+.f64 (.f64 1/4 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6)))) (+.f64 (.f64 -1/4 (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (+.f64 (.f64 1/4 (/.f64 (+.f64 (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -27)) -1/8) (.f64 -1/16 (/.f64 (sqrt.f64 2) (sqrt.f64 -243)))) (pow.f64 v 3))) (.f64 1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v)))))
(+.f64 (.f64 (pow.f64 v 3) (.f64 -1/4 (sqrt.f64 -6))) (+.f64 (.f64 1/4 (+.f64 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v) (/.f64 (+.f64 (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -27)) -1/8) (.f64 -1/16 (/.f64 (sqrt.f64 2) (sqrt.f64 -243)))) (pow.f64 v 3)))) (.f64 (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6)) (.f64 v 1/4))))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (.f64 1/4 (+.f64 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6))) (+.f64 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v) (/.f64 (+.f64 (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -27)) -1/8) (*.f64 -1/16 (/.f64 (sqrt.f64 2) (sqrt.f64 -243)))) (pow.f64 v 3))))))
(.f64 1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))
(.f64 1/4 (.f64 (pow.f64 v 3) (sqrt.f64 -6)))
(.f64 (sqrt.f64 -6) (.f64 1/4 (pow.f64 v 3)))
(+.f64 (.f64 -1/4 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (.f64 1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))))
(+.f64 (.f64 1/4 (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (.f64 v (.f64 (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6)) -1/4)))
(+.f64 (.f64 1/4 (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (.f64 (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6)) (*.f64 -1/4 v)))
(+.f64 (.f64 1/4 (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (.f64 (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6)) (*.f64 v -1/4)))
(+.f64 (.f64 (sqrt.f64 -6) (.f64 1/4 (pow.f64 v 3))) (.f64 (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6)) (*.f64 v -1/4)))
(+.f64 (.f64 -1/4 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (+.f64 (.f64 -1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (.f64 1/4 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -3))))))
(+.f64 (.f64 v (.f64 (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6)) -1/4)) (+.f64 (.f64 1/4 (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (.f64 -1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v))))
(+.f64 (.f64 1/4 (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (+.f64 (.f64 -1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v)) (.f64 (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6)) (.f64 -1/4 v))))
(+.f64 (.f64 1/4 (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (.f64 -1/4 (+.f64 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v) (.f64 v (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6))))))
(+.f64 (.f64 1/4 (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (.f64 -1/4 (+.f64 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6))) (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v))))
(+.f64 (.f64 (sqrt.f64 -6) (.f64 1/4 (pow.f64 v 3))) (.f64 -1/4 (+.f64 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6))) (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v))))
(+.f64 (.f64 -1/4 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (+.f64 (.f64 -1/4 (/.f64 (+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 -1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)))) (pow.f64 v 3))) (+.f64 (.f64 -1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (.f64 1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))))))
(+.f64 (.f64 v (.f64 (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6)) -1/4)) (+.f64 (.f64 -1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v)) (+.f64 (.f64 1/4 (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (.f64 -1/4 (/.f64 (+.f64 (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -27)) -1/8) (*.f64 -1/16 (/.f64 (sqrt.f64 2) (sqrt.f64 -243)))) (pow.f64 v 3))))))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6)) (.f64 -1/4 v)) (+.f64 (.f64 1/4 (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (+.f64 (.f64 -1/4 (/.f64 (+.f64 (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -27)) -1/8) (.f64 -1/16 (/.f64 (sqrt.f64 2) (sqrt.f64 -243)))) (pow.f64 v 3))) (.f64 -1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v)))))
(+.f64 (.f64 1/4 (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (+.f64 (.f64 -1/4 (+.f64 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v) (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6))))) (.f64 -1/4 (/.f64 (+.f64 (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -27)) -1/8) (.f64 -1/16 (/.f64 (sqrt.f64 2) (sqrt.f64 -243)))) (pow.f64 v 3)))))
(+.f64 (.f64 1/4 (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (.f64 -1/4 (+.f64 (/.f64 (+.f64 (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -27)) -1/8) (.f64 -1/16 (/.f64 (sqrt.f64 2) (sqrt.f64 -243)))) (pow.f64 v 3)) (+.f64 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6))) (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v)))))
(+.f64 (.f64 (sqrt.f64 -6) (.f64 1/4 (pow.f64 v 3))) (.f64 -1/4 (+.f64 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6))) (+.f64 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v) (/.f64 (+.f64 (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -27)) -1/8) (*.f64 -1/16 (/.f64 (sqrt.f64 2) (sqrt.f64 -243)))) (pow.f64 v 3))))))
(+.f64 (.f64 3 (.f64 v v)) 0)
(.f64 3 (.f64 v v))
(+.f64 (.f64 v v) (.f64 v (+.f64 v v)))
(*.f64 v (+.f64 v (+.f64 v v)))
(+.f64 0 (.f64 3 (.f64 v v)))
(.f64 3 (.f64 v v))
(+.f64 (.f64 v (+.f64 v v)) (.f64 v v))
(*.f64 v (+.f64 v (+.f64 v v)))
(-.f64 (.f64 3 (.f64 v v)) 0)
(.f64 3 (.f64 v v))
(-.f64 0 (neg.f64 (.f64 3 (.f64 v v))))
(.f64 3 (.f64 v v))
(-.f64 (-.f64 0 (-.f64 -1 (.f64 3 (.f64 v v)))) 1)
(.f64 3 (.f64 v v))
(/.f64 (.f64 3 (.f64 v v)) 1)
(.f64 3 (.f64 v v))
(/.f64 (.f64 3 (.f64 v v)) (/.f64 (.f64 3 (.f64 v v)) (.f64 3 (.f64 v v))))
(.f64 3 (.f64 v v))
(pow.f64 (.f64 3 (.f64 v v)) 1)
(.f64 3 (.f64 v v))
(neg.f64 (neg.f64 (.f64 3 (.f64 v v))))
(.f64 3 (.f64 v v))
(fabs.f64 (.f64 3 (.f64 v v)))
(.f64 3 (.f64 v v))
(fabs.f64 (neg.f64 (.f64 3 (.f64 v v))))
(.f64 3 (.f64 v v))
(fabs.f64 (/.f64 (.f64 3 (.f64 v v)) (fabs.f64 (/.f64 (.f64 3 (.f64 v v)) (.f64 3 (.f64 v v))))))
(.f64 3 (.f64 v v))
(fabs.f64 (.f64 (.f64 3 (fabs.f64 v)) v))
(.f64 3 (.f64 v v))
(fabs.f64 (.f64 (fabs.f64 v) (.f64 v 3)))
(.f64 3 (.f64 v v))
(fabs.f64 (.f64 v (neg.f64 (.f64 v 3))))
(.f64 3 (.f64 v v))
(fabs.f64 (.f64 v (.f64 3 (fabs.f64 v))))
(.f64 3 (.f64 v v))
(fabs.f64 (.f64 v (/.f64 (.f64 v 3) (fabs.f64 (/.f64 (.f64 v 6) (.f64 v 6))))))
(fabs.f64 (.f64 v (/.f64 (.f64 3 v) (fabs.f64 (/.f64 (.f64 v 6) (.f64 v 6))))))
(fabs.f64 (.f64 (/.f64 (.f64 3 v) (/.f64 (.f64 v 6) (.f64 v 6))) v))
(fabs.f64 (.f64 v (/.f64 (.f64 3 v) (/.f64 (.f64 v 6) (.f64 v 6)))))
(fabs.f64 (.f64 (fabs.f64 v) (neg.f64 (.f64 v 3))))
(.f64 3 (.f64 v v))
(fabs.f64 (.f64 (fabs.f64 v) (/.f64 (.f64 v 3) (fabs.f64 (/.f64 (.f64 v 6) (.f64 v 6))))))
(fabs.f64 (.f64 v (/.f64 (.f64 3 v) (fabs.f64 (/.f64 (.f64 v 6) (.f64 v 6))))))
(fabs.f64 (.f64 (/.f64 (.f64 3 v) (/.f64 (.f64 v 6) (.f64 v 6))) v))
(fabs.f64 (.f64 v (/.f64 (.f64 3 v) (/.f64 (.f64 v 6) (.f64 v 6)))))
(fabs.f64 (.f64 (neg.f64 v) (.f64 v 3)))
(.f64 3 (.f64 v v))
(fabs.f64 (.f64 (neg.f64 v) (neg.f64 (.f64 v 3))))
(.f64 3 (.f64 v v))
(fabs.f64 (.f64 (neg.f64 v) (.f64 3 (fabs.f64 v))))
(.f64 3 (.f64 v v))
(fabs.f64 (.f64 (neg.f64 v) (/.f64 (.f64 v 3) (fabs.f64 (/.f64 (.f64 v 6) (.f64 v 6))))))
(fabs.f64 (.f64 v (/.f64 (.f64 3 v) (fabs.f64 (/.f64 (.f64 v 6) (.f64 v 6))))))
(fabs.f64 (.f64 (/.f64 (.f64 3 v) (/.f64 (.f64 v 6) (.f64 v 6))) v))
(fabs.f64 (.f64 v (/.f64 (.f64 3 v) (/.f64 (.f64 v 6) (.f64 v 6)))))
(fabs.f64 (.f64 (/.f64 v (fabs.f64 (/.f64 v v))) (.f64 v 3)))
(.f64 3 (.f64 v v))
(fabs.f64 (.f64 (/.f64 v (fabs.f64 (/.f64 v v))) (neg.f64 (.f64 v 3))))
(.f64 3 (.f64 v v))
(fabs.f64 (.f64 (/.f64 v (fabs.f64 (/.f64 v v))) (.f64 3 (fabs.f64 v))))
(.f64 3 (.f64 v v))
(fabs.f64 (.f64 (/.f64 v (fabs.f64 (/.f64 v v))) (/.f64 (.f64 v 3) (fabs.f64 (/.f64 (.f64 v 6) (.f64 v 6))))))
(fabs.f64 (.f64 v (/.f64 (.f64 3 v) (fabs.f64 (/.f64 (.f64 v 6) (.f64 v 6))))))
(fabs.f64 (.f64 (/.f64 (.f64 3 v) (/.f64 (.f64 v 6) (.f64 v 6))) v))
(fabs.f64 (.f64 v (/.f64 (.f64 3 v) (/.f64 (.f64 v 6) (.f64 v 6)))))
(fabs.f64 (.f64 (.f64 v 3) (fabs.f64 v)))
(.f64 3 (.f64 v v))
(fabs.f64 (.f64 (.f64 v 3) (neg.f64 v)))
(.f64 3 (.f64 v v))
(fabs.f64 (.f64 (.f64 v 3) (/.f64 v (fabs.f64 (/.f64 v v)))))
(.f64 3 (.f64 v v))
(fabs.f64 (.f64 (neg.f64 (.f64 v 3)) v))
(.f64 3 (.f64 v v))
(fabs.f64 (.f64 (neg.f64 (.f64 v 3)) (fabs.f64 v)))
(.f64 3 (.f64 v v))
(fabs.f64 (.f64 (neg.f64 (.f64 v 3)) (neg.f64 v)))
(.f64 3 (.f64 v v))
(fabs.f64 (.f64 (neg.f64 (.f64 v 3)) (/.f64 v (fabs.f64 (/.f64 v v)))))
(.f64 3 (.f64 v v))
(fabs.f64 (.f64 (.f64 3 (fabs.f64 v)) (neg.f64 v)))
(.f64 3 (.f64 v v))
(fabs.f64 (.f64 (.f64 3 (fabs.f64 v)) (/.f64 v (fabs.f64 (/.f64 v v)))))
(.f64 3 (.f64 v v))
(fabs.f64 (.f64 (/.f64 (.f64 v 3) (fabs.f64 (/.f64 (.f64 v 6) (.f64 v 6)))) v))
(fabs.f64 (.f64 v (/.f64 (.f64 3 v) (fabs.f64 (/.f64 (.f64 v 6) (.f64 v 6))))))
(fabs.f64 (.f64 (/.f64 (.f64 3 v) (/.f64 (.f64 v 6) (.f64 v 6))) v))
(fabs.f64 (.f64 v (/.f64 (.f64 3 v) (/.f64 (.f64 v 6) (.f64 v 6)))))
(fabs.f64 (.f64 (/.f64 (.f64 v 3) (fabs.f64 (/.f64 (.f64 v 6) (.f64 v 6)))) (fabs.f64 v)))
(fabs.f64 (.f64 v (/.f64 (.f64 3 v) (fabs.f64 (/.f64 (.f64 v 6) (.f64 v 6))))))
(fabs.f64 (.f64 (/.f64 (.f64 3 v) (/.f64 (.f64 v 6) (.f64 v 6))) v))
(fabs.f64 (.f64 v (/.f64 (.f64 3 v) (/.f64 (.f64 v 6) (.f64 v 6)))))
(fabs.f64 (.f64 (/.f64 (.f64 v 3) (fabs.f64 (/.f64 (.f64 v 6) (.f64 v 6)))) (neg.f64 v)))
(fabs.f64 (.f64 v (/.f64 (.f64 3 v) (fabs.f64 (/.f64 (.f64 v 6) (.f64 v 6))))))
(fabs.f64 (.f64 (/.f64 (.f64 3 v) (/.f64 (.f64 v 6) (.f64 v 6))) v))
(fabs.f64 (.f64 v (/.f64 (.f64 3 v) (/.f64 (.f64 v 6) (.f64 v 6)))))
(fabs.f64 (.f64 (/.f64 (.f64 v 3) (fabs.f64 (/.f64 (.f64 v 6) (.f64 v 6)))) (/.f64 v (fabs.f64 (/.f64 v v)))))
(fabs.f64 (.f64 v (/.f64 (.f64 3 v) (fabs.f64 (/.f64 (.f64 v 6) (.f64 v 6))))))
(fabs.f64 (.f64 (/.f64 (.f64 3 v) (/.f64 (.f64 v 6) (.f64 v 6))) v))
(fabs.f64 (.f64 v (/.f64 (.f64 3 v) (/.f64 (.f64 v 6) (.f64 v 6)))))
(fabs.f64 (/.f64 (neg.f64 (.f64 3 (.f64 v v))) (fabs.f64 (/.f64 (.f64 3 (.f64 v v)) (.f64 3 (.f64 v v))))))
(.f64 3 (.f64 v v))
(fabs.f64 (/.f64 (.f64 3 (.f64 v v)) (neg.f64 (/.f64 (.f64 3 (.f64 v v)) (.f64 3 (.f64 v v))))))
(.f64 3 (.f64 v v))
(+.f64 (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (.f64 (/.f64 (sqrt.f64 2) 4) (-.f64 1 (*.f64 v v)))) 0)
(.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (.f64 (/.f64 (sqrt.f64 2) 4) (-.f64 1 (*.f64 v v))))
(.f64 (sqrt.f64 (-.f64 (.f64 v (.f64 v -3)) -1)) (.f64 (/.f64 (sqrt.f64 2) 4) (-.f64 1 (*.f64 v v))))
(.f64 (sqrt.f64 (+.f64 (.f64 v (.f64 v -3)) 1)) (.f64 (/.f64 (sqrt.f64 2) 4) (-.f64 1 (*.f64 v v))))
(+.f64 0 (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (.f64 (/.f64 (sqrt.f64 2) 4) (-.f64 1 (*.f64 v v)))))
(.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (.f64 (/.f64 (sqrt.f64 2) 4) (-.f64 1 (*.f64 v v))))
(.f64 (sqrt.f64 (-.f64 (.f64 v (.f64 v -3)) -1)) (.f64 (/.f64 (sqrt.f64 2) 4) (-.f64 1 (*.f64 v v))))
(.f64 (sqrt.f64 (+.f64 (.f64 v (.f64 v -3)) 1)) (.f64 (/.f64 (sqrt.f64 2) 4) (-.f64 1 (*.f64 v v))))
(-.f64 (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (.f64 (/.f64 (sqrt.f64 2) 4) (-.f64 1 (*.f64 v v)))) 0)
(.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (.f64 (/.f64 (sqrt.f64 2) 4) (-.f64 1 (*.f64 v v))))
(.f64 (sqrt.f64 (-.f64 (.f64 v (.f64 v -3)) -1)) (.f64 (/.f64 (sqrt.f64 2) 4) (-.f64 1 (*.f64 v v))))
(.f64 (sqrt.f64 (+.f64 (.f64 v (.f64 v -3)) 1)) (.f64 (/.f64 (sqrt.f64 2) 4) (-.f64 1 (*.f64 v v))))
(-.f64 0 (neg.f64 (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (.f64 (/.f64 (sqrt.f64 2) 4) (-.f64 1 (*.f64 v v))))))
(.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (.f64 (/.f64 (sqrt.f64 2) 4) (-.f64 1 (*.f64 v v))))
(.f64 (sqrt.f64 (-.f64 (.f64 v (.f64 v -3)) -1)) (.f64 (/.f64 (sqrt.f64 2) 4) (-.f64 1 (*.f64 v v))))
(.f64 (sqrt.f64 (+.f64 (.f64 v (.f64 v -3)) 1)) (.f64 (/.f64 (sqrt.f64 2) 4) (-.f64 1 (*.f64 v v))))
(-.f64 (-.f64 0 (-.f64 -1 (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (.f64 (/.f64 (sqrt.f64 2) 4) (-.f64 1 (*.f64 v v)))))) 1)
(.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (.f64 (/.f64 (sqrt.f64 2) 4) (-.f64 1 (*.f64 v v))))
(.f64 (sqrt.f64 (-.f64 (.f64 v (.f64 v -3)) -1)) (.f64 (/.f64 (sqrt.f64 2) 4) (-.f64 1 (*.f64 v v))))
(.f64 (sqrt.f64 (+.f64 (.f64 v (.f64 v -3)) 1)) (.f64 (/.f64 (sqrt.f64 2) 4) (-.f64 1 (*.f64 v v))))
(/.f64 (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (.f64 (/.f64 (sqrt.f64 2) 4) (-.f64 1 (*.f64 v v)))) 1)
(.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (.f64 (/.f64 (sqrt.f64 2) 4) (-.f64 1 (*.f64 v v))))
(.f64 (sqrt.f64 (-.f64 (.f64 v (.f64 v -3)) -1)) (.f64 (/.f64 (sqrt.f64 2) 4) (-.f64 1 (*.f64 v v))))
(.f64 (sqrt.f64 (+.f64 (.f64 v (.f64 v -3)) 1)) (.f64 (/.f64 (sqrt.f64 2) 4) (-.f64 1 (*.f64 v v))))
(/.f64 (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (.f64 (/.f64 (sqrt.f64 2) 4) (-.f64 1 (.f64 v v)))) (/.f64 (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (.f64 (/.f64 (sqrt.f64 2) 4) (-.f64 1 (.f64 v v)))) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (.f64 (/.f64 (sqrt.f64 2) 4) (-.f64 1 (*.f64 v v))))))
(.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (.f64 (/.f64 (sqrt.f64 2) 4) (-.f64 1 (*.f64 v v))))
(.f64 (sqrt.f64 (-.f64 (.f64 v (.f64 v -3)) -1)) (.f64 (/.f64 (sqrt.f64 2) 4) (-.f64 1 (*.f64 v v))))
(.f64 (sqrt.f64 (+.f64 (.f64 v (.f64 v -3)) 1)) (.f64 (/.f64 (sqrt.f64 2) 4) (-.f64 1 (*.f64 v v))))
(pow.f64 (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (.f64 (/.f64 (sqrt.f64 2) 4) (-.f64 1 (*.f64 v v)))) 1)
(.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (.f64 (/.f64 (sqrt.f64 2) 4) (-.f64 1 (*.f64 v v))))
(.f64 (sqrt.f64 (-.f64 (.f64 v (.f64 v -3)) -1)) (.f64 (/.f64 (sqrt.f64 2) 4) (-.f64 1 (*.f64 v v))))
(.f64 (sqrt.f64 (+.f64 (.f64 v (.f64 v -3)) 1)) (.f64 (/.f64 (sqrt.f64 2) 4) (-.f64 1 (*.f64 v v))))
(neg.f64 (neg.f64 (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (.f64 (/.f64 (sqrt.f64 2) 4) (-.f64 1 (*.f64 v v))))))
(.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (.f64 (/.f64 (sqrt.f64 2) 4) (-.f64 1 (*.f64 v v))))
(.f64 (sqrt.f64 (-.f64 (.f64 v (.f64 v -3)) -1)) (.f64 (/.f64 (sqrt.f64 2) 4) (-.f64 1 (*.f64 v v))))
(.f64 (sqrt.f64 (+.f64 (.f64 v (.f64 v -3)) 1)) (.f64 (/.f64 (sqrt.f64 2) 4) (-.f64 1 (*.f64 v v))))

eval384.0ms (3.8%)

Compiler: Compiled 9020 to 7363 computations (18.4% saved)

prune75.0ms (0.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	301	3	304
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	301	5	306

Error

Counts

306 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (-.f64 1 (.f64 v (.f64 3 v)))) (-.f64 1 (*.f64 v v))))
▶	1.0b	(.f64 (-.f64 (-.f64 0 (-.f64 -1 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))))) 1) (-.f64 1 (*.f64 v v)))
✓	0.0b	(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 v (.f64 v 3))))) (-.f64 1 (*.f64 v v)))
▶	0.3b	(.f64 (.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 (pow.f64 v 2) -3/8))) (-.f64 1 (.f64 v v)))
▶	0.5b	(*.f64 1/4 (sqrt.f64 2))

Compiler

Compiled 88 to 72 computations (18.2% saved)

localize8.0ms (0.1%)

Compiler: Compiled 9 to 9 computations (0% saved)

localize42.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 (pow.f64 v 2) -3/8)))
✓	0.2b	(*.f64 (pow.f64 v 2) -3/8)

Compiler

Compiled 57 to 43 computations (24.6% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	v	@	inf	(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 (pow.f64 v 2) -3/8)))
1.0ms	v	@	0	(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 (pow.f64 v 2) -3/8)))
1.0ms	v	@	inf	(*.f64 (pow.f64 v 2) -3/8)
0.0ms	v	@	0	(*.f64 (pow.f64 v 2) -3/8)
0.0ms	v	@	-inf	(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 (pow.f64 v 2) -3/8)))

rewrite107.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1860×	`exponential.json-3`
1860×	`rational.json-1`
1860×	`rational.json-2`
1860×	`rational.json-4`
1860×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	42
1	98	42
2	283	42
3	1015	42
4	3815	42

Stop Event

1×	node limit

Counts

2 → 12

Calls

Call 1

Inputs
(*.f64 (pow.f64 v 2) -3/8)
(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 (pow.f64 v 2) -3/8)))

Outputs

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

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

simplify221.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1276×	`rational.json-simplify-49`
994×	`rational.json-simplify-47`
992×	`rational.json-simplify-2`
780×	`rational.json-simplify-79`
766×	`rational.json-simplify-104`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	914
1	58	774
2	142	774
3	355	774
4	1186	774
5	2616	774
6	5802	774
7	7398	774

Stop Event

1×	node limit

Counts

36 → 24

Calls

Call 1

Inputs
(*.f64 -3/8 (pow.f64 v 2))
(*.f64 -3/8 (pow.f64 v 2))
(*.f64 -3/8 (pow.f64 v 2))
(*.f64 -3/8 (pow.f64 v 2))
(*.f64 -3/8 (pow.f64 v 2))
(*.f64 -3/8 (pow.f64 v 2))
(*.f64 -3/8 (pow.f64 v 2))
(*.f64 -3/8 (pow.f64 v 2))
(*.f64 -3/8 (pow.f64 v 2))
(*.f64 -3/8 (pow.f64 v 2))
(*.f64 -3/8 (pow.f64 v 2))
(*.f64 -3/8 (pow.f64 v 2))
(*.f64 1/4 (sqrt.f64 2))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(.f64 -3/8 (.f64 (sqrt.f64 2) (pow.f64 v 2)))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(.f64 -3/8 (.f64 (sqrt.f64 2) (pow.f64 v 2)))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (*.f64 (pow.f64 v 2) -3/8) 0)
(+.f64 0 (*.f64 (pow.f64 v 2) -3/8))
(-.f64 (*.f64 (pow.f64 v 2) -3/8) 0)
(/.f64 (*.f64 (pow.f64 v 2) -3/8) 1)
(/.f64 (.f64 (pow.f64 v 2) -3/8) (/.f64 (.f64 (pow.f64 v 2) -3/8) (*.f64 (pow.f64 v 2) -3/8)))
(pow.f64 (*.f64 (pow.f64 v 2) -3/8) 1)
(+.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 v 2) -3/8) 1/4)) 0)
(+.f64 0 (.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 v 2) -3/8) 1/4)))
(-.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 v 2) -3/8) 1/4)) 0)
(/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 v 2) -3/8) 1/4)) 1)
(/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 v 2) -3/8) 1/4)) (/.f64 (+.f64 (.f64 (pow.f64 v 2) -3/8) 1/4) (+.f64 (.f64 (pow.f64 v 2) -3/8) 1/4)))
(pow.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 v 2) -3/8) 1/4)) 1)

Outputs
(*.f64 -3/8 (pow.f64 v 2))
(*.f64 -3/8 (pow.f64 v 2))
(*.f64 -3/8 (pow.f64 v 2))
(*.f64 -3/8 (pow.f64 v 2))
(*.f64 -3/8 (pow.f64 v 2))
(*.f64 -3/8 (pow.f64 v 2))
(*.f64 -3/8 (pow.f64 v 2))
(*.f64 -3/8 (pow.f64 v 2))
(*.f64 -3/8 (pow.f64 v 2))
(*.f64 -3/8 (pow.f64 v 2))
(*.f64 -3/8 (pow.f64 v 2))
(*.f64 -3/8 (pow.f64 v 2))
(*.f64 1/4 (sqrt.f64 2))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -3/8 (*.f64 (pow.f64 v 2) (sqrt.f64 2))))
(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 -3/8 (pow.f64 v 2))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -3/8 (*.f64 (pow.f64 v 2) (sqrt.f64 2))))
(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 -3/8 (pow.f64 v 2))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -3/8 (*.f64 (pow.f64 v 2) (sqrt.f64 2))))
(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 -3/8 (pow.f64 v 2))))
(.f64 -3/8 (.f64 (sqrt.f64 2) (pow.f64 v 2)))
(.f64 -3/8 (.f64 (pow.f64 v 2) (sqrt.f64 2)))
(.f64 (pow.f64 v 2) (.f64 -3/8 (sqrt.f64 2)))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -3/8 (*.f64 (pow.f64 v 2) (sqrt.f64 2))))
(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 -3/8 (pow.f64 v 2))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -3/8 (*.f64 (pow.f64 v 2) (sqrt.f64 2))))
(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 -3/8 (pow.f64 v 2))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -3/8 (*.f64 (pow.f64 v 2) (sqrt.f64 2))))
(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 -3/8 (pow.f64 v 2))))
(.f64 -3/8 (.f64 (sqrt.f64 2) (pow.f64 v 2)))
(.f64 -3/8 (.f64 (pow.f64 v 2) (sqrt.f64 2)))
(.f64 (pow.f64 v 2) (.f64 -3/8 (sqrt.f64 2)))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -3/8 (*.f64 (pow.f64 v 2) (sqrt.f64 2))))
(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 -3/8 (pow.f64 v 2))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -3/8 (*.f64 (pow.f64 v 2) (sqrt.f64 2))))
(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 -3/8 (pow.f64 v 2))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -3/8 (*.f64 (pow.f64 v 2) (sqrt.f64 2))))
(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 -3/8 (pow.f64 v 2))))
(+.f64 (*.f64 (pow.f64 v 2) -3/8) 0)
(*.f64 -3/8 (pow.f64 v 2))
(+.f64 0 (*.f64 (pow.f64 v 2) -3/8))
(*.f64 -3/8 (pow.f64 v 2))
(-.f64 (*.f64 (pow.f64 v 2) -3/8) 0)
(*.f64 -3/8 (pow.f64 v 2))
(/.f64 (*.f64 (pow.f64 v 2) -3/8) 1)
(*.f64 -3/8 (pow.f64 v 2))
(/.f64 (.f64 (pow.f64 v 2) -3/8) (/.f64 (.f64 (pow.f64 v 2) -3/8) (*.f64 (pow.f64 v 2) -3/8)))
(*.f64 -3/8 (pow.f64 v 2))
(pow.f64 (*.f64 (pow.f64 v 2) -3/8) 1)
(*.f64 -3/8 (pow.f64 v 2))
(+.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 v 2) -3/8) 1/4)) 0)
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -3/8 (*.f64 (pow.f64 v 2) (sqrt.f64 2))))
(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 -3/8 (pow.f64 v 2))))
(+.f64 0 (.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 v 2) -3/8) 1/4)))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -3/8 (*.f64 (pow.f64 v 2) (sqrt.f64 2))))
(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 -3/8 (pow.f64 v 2))))
(-.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 v 2) -3/8) 1/4)) 0)
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -3/8 (*.f64 (pow.f64 v 2) (sqrt.f64 2))))
(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 -3/8 (pow.f64 v 2))))
(/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 v 2) -3/8) 1/4)) 1)
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -3/8 (*.f64 (pow.f64 v 2) (sqrt.f64 2))))
(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 -3/8 (pow.f64 v 2))))
(/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 v 2) -3/8) 1/4)) (/.f64 (+.f64 (.f64 (pow.f64 v 2) -3/8) 1/4) (+.f64 (.f64 (pow.f64 v 2) -3/8) 1/4)))
(/.f64 (.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 -3/8 (pow.f64 v 2)))) (/.f64 (+.f64 1/4 (.f64 -3/8 (pow.f64 v 2))) (+.f64 1/4 (.f64 -3/8 (pow.f64 v 2)))))
(.f64 (.f64 (+.f64 1/4 (.f64 -3/8 (pow.f64 v 2))) (+.f64 1/4 (.f64 -3/8 (pow.f64 v 2)))) (/.f64 (sqrt.f64 2) (+.f64 1/4 (*.f64 -3/8 (pow.f64 v 2)))))
(.f64 (.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 -3/8 (pow.f64 v 2)))) (/.f64 (+.f64 1/4 (.f64 -3/8 (pow.f64 v 2))) (+.f64 1/4 (*.f64 -3/8 (pow.f64 v 2)))))
(.f64 (+.f64 1/4 (.f64 -3/8 (pow.f64 v 2))) (.f64 (+.f64 1/4 (.f64 -3/8 (pow.f64 v 2))) (/.f64 (sqrt.f64 2) (+.f64 1/4 (*.f64 -3/8 (pow.f64 v 2))))))
(pow.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 v 2) -3/8) 1/4)) 1)
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -3/8 (*.f64 (pow.f64 v 2) (sqrt.f64 2))))
(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 -3/8 (pow.f64 v 2))))

localize330.0ms (3.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (-.f64 (-.f64 0 (-.f64 -1 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))))) 1) (-.f64 1 (*.f64 v v)))
✓	0.0b	(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
✓	0.2b	(.f64 3 (.f64 v v))
✓	1.0b	(-.f64 (-.f64 0 (-.f64 -1 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v))))))) 1)

Compiler

Compiled 131 to 98 computations (25.2% saved)

series3.0ms (0%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	v	@	inf	(.f64 (-.f64 (-.f64 0 (-.f64 -1 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))))) 1) (-.f64 1 (*.f64 v v)))
0.0ms	v	@	-inf	(.f64 (-.f64 (-.f64 0 (-.f64 -1 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))))) 1) (-.f64 1 (*.f64 v v)))
0.0ms	v	@	inf	(-.f64 (-.f64 0 (-.f64 -1 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v))))))) 1)
0.0ms	v	@	0	(-.f64 (-.f64 0 (-.f64 -1 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v))))))) 1)
0.0ms	v	@	-inf	(-.f64 (-.f64 0 (-.f64 -1 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v))))))) 1)

rewrite192.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

816×	`exponential.json-3`
816×	`rational.json-1`
816×	`rational.json-2`
816×	`rational.json-4`
816×	`rational.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	184
1	195	148
2	556	148
3	1851	148
4	7321	148

Stop Event

1×	node limit

Counts

4 → 88

Calls

Call 1

Inputs
(-.f64 (-.f64 0 (-.f64 -1 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v))))))) 1)
(.f64 3 (.f64 v v))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
(.f64 (-.f64 (-.f64 0 (-.f64 -1 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))))) 1) (-.f64 1 (*.f64 v v)))

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

simplify516.0ms (5.1%)

Algorithm

1×	egg-herbie

Rules

1382×	`rational.json-simplify-111`
782×	`rational.json-simplify-43`
726×	`rational.json-simplify-54`
710×	`rational.json-simplify-41`
666×	`rational.json-simplify-44`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	282	6044
1	606	5870
2	1478	5788
3	3407	5756
4	6439	5754

Stop Event

1×	node limit

Counts

136 → 191

Calls

Call 1

Inputs
(*.f64 1/4 (sqrt.f64 2))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (.f64 -9/32 (.f64 (sqrt.f64 2) (pow.f64 v 4))) (+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))))
(+.f64 (.f64 -9/32 (.f64 (sqrt.f64 2) (pow.f64 v 4))) (+.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (.f64 -27/64 (.f64 (sqrt.f64 2) (pow.f64 v 6))) (.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))))
(.f64 1/4 (.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))))
(+.f64 (.f64 1/4 (.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (.f64 1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))))
(+.f64 (.f64 1/4 (.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (+.f64 (.f64 -1/32 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (.f64 1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))))))
(+.f64 (.f64 1/64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5)))) (+.f64 (.f64 1/4 (.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (+.f64 (.f64 -1/32 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (.f64 1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))))))
(.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))))
(+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))))
(+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (.f64 1/32 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))))))
(+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (+.f64 (.f64 -1/64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5)))) (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (.f64 1/32 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))))))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 1/4 (sqrt.f64 2))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (.f64 -9/32 (.f64 (sqrt.f64 2) (pow.f64 v 4))) (+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))))
(+.f64 (.f64 -9/32 (.f64 (sqrt.f64 2) (pow.f64 v 4))) (+.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (.f64 -27/64 (.f64 (sqrt.f64 2) (pow.f64 v 6))) (.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))))
(.f64 1/4 (.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))))
(+.f64 (.f64 1/4 (.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (.f64 1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))))
(+.f64 (.f64 1/4 (.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (+.f64 (.f64 -1/32 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (.f64 1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))))))
(+.f64 (.f64 1/64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5)))) (+.f64 (.f64 1/4 (.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (+.f64 (.f64 -1/32 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (.f64 1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))))))
(.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))))
(+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))))
(+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (.f64 1/32 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))))))
(+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (+.f64 (.f64 -1/64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5)))) (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (.f64 1/32 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))))))
(*.f64 1/4 (sqrt.f64 2))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 1/4 (.f64 (pow.f64 v 2) (+.f64 (.f64 -1 (sqrt.f64 2)) (*.f64 -3/2 (sqrt.f64 2))))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (.f64 1/4 (.f64 (pow.f64 v 4) (+.f64 (.f64 -9/8 (sqrt.f64 2)) (.f64 3/2 (sqrt.f64 2))))) (.f64 1/4 (.f64 (pow.f64 v 2) (+.f64 (.f64 -1 (sqrt.f64 2)) (*.f64 -3/2 (sqrt.f64 2)))))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (.f64 1/4 (.f64 (pow.f64 v 4) (+.f64 (.f64 -9/8 (sqrt.f64 2)) (.f64 3/2 (sqrt.f64 2))))) (+.f64 (.f64 1/4 (.f64 (pow.f64 v 2) (+.f64 (.f64 -1 (sqrt.f64 2)) (.f64 -3/2 (sqrt.f64 2))))) (.f64 1/4 (.f64 (pow.f64 v 6) (+.f64 (.f64 9/8 (sqrt.f64 2)) (*.f64 -27/16 (sqrt.f64 2))))))))
(.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))
(+.f64 (.f64 1/4 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))))
(+.f64 (.f64 1/4 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (+.f64 (.f64 1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (.f64 -1/4 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -3))))))
(+.f64 (.f64 1/4 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (+.f64 (.f64 1/4 (/.f64 (+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 -1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)))) (pow.f64 v 3))) (+.f64 (.f64 1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))))))
(.f64 1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))
(+.f64 (.f64 -1/4 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (.f64 1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))))
(+.f64 (.f64 -1/4 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (+.f64 (.f64 -1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (.f64 1/4 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -3))))))
(+.f64 (.f64 -1/4 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (+.f64 (.f64 -1/4 (/.f64 (+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 -1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)))) (pow.f64 v 3))) (+.f64 (.f64 -1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (.f64 1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))))))
(+.f64 0 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v))))))
(+.f64 -1 (+.f64 1 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))))
(+.f64 1 (+.f64 -1 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))))
(+.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v))))) 0)
(+.f64 (+.f64 1 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))) -1)
(+.f64 (+.f64 -1 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))) 1)
(.f64 -1 (neg.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
(.f64 1 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))))
(.f64 (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))) (/.f64 (sqrt.f64 2) 4))
(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) 1)
(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (/.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))))))
(.f64 (neg.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))))) -1)
(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (.f64 (+.f64 -1 (.f64 3 (.f64 v v))) (+.f64 -1 (.f64 3 (.f64 v v))))))) (/.f64 1 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))))
(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (.f64 (+.f64 -1 (.f64 3 (.f64 v v))) (+.f64 -1 (.f64 3 (.f64 v v))))))) (.f64 (/.f64 1 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))))) 1))
(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (.f64 (+.f64 -1 (.f64 3 (.f64 v v))) (+.f64 -1 (.f64 3 (.f64 v v))))))) (/.f64 -1 (neg.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v))))))))
(.f64 (sqrt.f64 (.f64 (+.f64 -1 (.f64 3 (.f64 v v))) (+.f64 -1 (.f64 3 (.f64 v v))))) (.f64 (/.f64 1 (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v))))) (/.f64 (sqrt.f64 2) 4)))
(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (/.f64 (sqrt.f64 2) 4)) (.f64 (/.f64 1 (/.f64 (sqrt.f64 2) 4)) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v))))))
(.f64 (/.f64 1 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))))) (.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (.f64 (+.f64 -1 (.f64 3 (.f64 v v))) (+.f64 -1 (.f64 3 (*.f64 v v))))))))
(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (.f64 (+.f64 -1 (.f64 3 (.f64 v v))) (+.f64 -1 (.f64 3 (.f64 v v)))))) (.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (.f64 (+.f64 -1 (.f64 3 (.f64 v v))) (+.f64 -1 (.f64 3 (.f64 v v))))))))) (/.f64 (/.f64 1 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))))) (.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (.f64 (+.f64 -1 (.f64 3 (.f64 v v))) (+.f64 -1 (.f64 3 (.f64 v v)))))))))
(/.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v))))) 1)
(/.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (/.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))))
(/.f64 (neg.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))) -1)
(pow.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v))))) 1)
(neg.f64 (neg.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))))
(+.f64 0 (.f64 3 (.f64 v v)))
(+.f64 (.f64 3 (.f64 v v)) 0)
(-.f64 0 (neg.f64 (.f64 3 (.f64 v v))))
(-.f64 (.f64 3 (.f64 v v)) 0)
(/.f64 (.f64 3 (.f64 v v)) 1)
(/.f64 (.f64 3 (.f64 v v)) (/.f64 (.f64 3 (.f64 v v)) (.f64 3 (.f64 v v))))
(pow.f64 (.f64 3 (.f64 v v)) 1)
(neg.f64 (neg.f64 (.f64 3 (.f64 v v))))
(fabs.f64 (.f64 3 (.f64 v v)))
(fabs.f64 (neg.f64 (.f64 3 (.f64 v v))))
(fabs.f64 (/.f64 (.f64 3 (.f64 v v)) (fabs.f64 (/.f64 (.f64 3 (.f64 v v)) (.f64 3 (.f64 v v))))))
(fabs.f64 (.f64 (fabs.f64 v) (.f64 3 v)))
(fabs.f64 (.f64 (neg.f64 v) (.f64 3 v)))
(fabs.f64 (.f64 (/.f64 v (fabs.f64 (/.f64 v v))) (.f64 3 v)))
(fabs.f64 (.f64 (.f64 3 v) (fabs.f64 v)))
(fabs.f64 (.f64 (.f64 3 v) (neg.f64 v)))
(fabs.f64 (.f64 (.f64 3 v) (/.f64 v (fabs.f64 (/.f64 v v)))))
(fabs.f64 (/.f64 (neg.f64 (.f64 3 (.f64 v v))) (fabs.f64 (/.f64 (.f64 3 (.f64 v v)) (.f64 3 (.f64 v v))))))
(fabs.f64 (/.f64 (.f64 3 (.f64 v v)) (neg.f64 (/.f64 (.f64 3 (.f64 v v)) (.f64 3 (.f64 v v))))))
(+.f64 0 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v))))))
(+.f64 -1 (+.f64 1 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))))
(+.f64 1 (+.f64 -1 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))))
(+.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v))))) 0)
(+.f64 (+.f64 1 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))) -1)
(+.f64 (+.f64 -1 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))) 1)
(-.f64 0 (neg.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))))
(-.f64 0 (+.f64 (-.f64 2 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))) -2))
(-.f64 0 (+.f64 (+.f64 -2 (-.f64 1 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v))))))) 1))
(-.f64 0 (+.f64 (+.f64 2 (-.f64 -1 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v))))))) -1))
(-.f64 -1 (-.f64 -1 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))))
(-.f64 -1 (+.f64 -2 (-.f64 1 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v))))))))
(-.f64 -1 (+.f64 (+.f64 (neg.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))) -2) 1))
(-.f64 -1 (+.f64 (+.f64 -1 (-.f64 -2 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v))))))) 2))
(-.f64 2 (+.f64 2 (neg.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v))))))))
(-.f64 2 (-.f64 2 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))))
(-.f64 1 (-.f64 1 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))))
(-.f64 1 (+.f64 2 (-.f64 -1 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v))))))))
(-.f64 1 (+.f64 (+.f64 2 (neg.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v))))))) -1))
(-.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v))))) 0)
(-.f64 (+.f64 1 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))) 1)
(-.f64 (+.f64 -1 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))) -1)
(-.f64 (+.f64 2 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))) 2)
(-.f64 -2 (-.f64 -2 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))))
(-.f64 -2 (+.f64 (neg.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))) -2))
(-.f64 -2 (+.f64 (+.f64 (-.f64 -1 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))) -2) 1))
(-.f64 (-.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v))))) 2) -2)
(-.f64 -3 (+.f64 (-.f64 -1 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))) -2))
(-.f64 -3 (+.f64 -1 (-.f64 -2 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v))))))))
(-.f64 (-.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v))))) -3) 3)
(-.f64 (-.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v))))) 3) -3)
(/.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v))))) 1)
(/.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (/.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))))
(/.f64 (neg.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))) -1)
(pow.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v))))) 1)
(neg.f64 (neg.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))))
(+.f64 0 (.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (*.f64 v v)))))
(+.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (*.f64 v v)))) 0)
(-.f64 0 (neg.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (*.f64 v v))))))
(-.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (*.f64 v v)))) 0)
(/.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (*.f64 v v)))) 1)
(/.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (.f64 v v)))) (/.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (.f64 v v)))) (.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (*.f64 v v))))))
(pow.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (*.f64 v v)))) 1)
(neg.f64 (neg.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (*.f64 v v))))))

Outputs
(*.f64 1/4 (sqrt.f64 2))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) -3/8)))
(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 -3/8 (pow.f64 v 2))))
(+.f64 (.f64 -9/32 (.f64 (sqrt.f64 2) (pow.f64 v 4))) (+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 2) -3/8)) (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 4) -9/32))))
(+.f64 (.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 -3/8 (pow.f64 v 2)))) (.f64 (sqrt.f64 2) (.f64 -9/32 (pow.f64 v 4))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 -9/32 (pow.f64 v 4)) (+.f64 1/4 (*.f64 -3/8 (pow.f64 v 2)))))
(.f64 (sqrt.f64 2) (+.f64 1/4 (+.f64 (.f64 -3/8 (pow.f64 v 2)) (*.f64 -9/32 (pow.f64 v 4)))))
(+.f64 (.f64 -9/32 (.f64 (sqrt.f64 2) (pow.f64 v 4))) (+.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (.f64 -27/64 (.f64 (sqrt.f64 2) (pow.f64 v 6))) (.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 4) -9/32)) (+.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 2) -3/8)) (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 6) -27/64)))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 -9/32 (pow.f64 v 4))) (+.f64 (.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 -3/8 (pow.f64 v 2)))) (.f64 (sqrt.f64 2) (.f64 -27/64 (pow.f64 v 6)))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 -9/32 (pow.f64 v 4))) (.f64 (sqrt.f64 2) (+.f64 (.f64 -27/64 (pow.f64 v 6)) (+.f64 1/4 (*.f64 -3/8 (pow.f64 v 2))))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 -27/64 (pow.f64 v 6)) (+.f64 1/4 (+.f64 (.f64 -3/8 (pow.f64 v 2)) (.f64 -9/32 (pow.f64 v 4))))))
(.f64 1/4 (.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))))
(.f64 1/4 (.f64 v (sqrt.f64 -6)))
(.f64 v (.f64 (sqrt.f64 -6) 1/4))
(.f64 v (.f64 1/4 (sqrt.f64 -6)))
(+.f64 (.f64 1/4 (.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (.f64 1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))))
(+.f64 (.f64 1/4 (.f64 v (sqrt.f64 -6))) (.f64 1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))))
(+.f64 (.f64 v (.f64 (sqrt.f64 -6) 1/4)) (.f64 1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))))
(+.f64 (.f64 v (.f64 1/4 (sqrt.f64 -6))) (.f64 1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))))
(+.f64 (.f64 1/4 (.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (+.f64 (.f64 -1/32 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (.f64 1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))))))
(+.f64 (.f64 1/4 (.f64 v (sqrt.f64 -6))) (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (.f64 -1/32 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -27))))))
(+.f64 (.f64 v (.f64 (sqrt.f64 -6) 1/4)) (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (.f64 -1/32 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -27))))))
(+.f64 (.f64 v (.f64 1/4 (sqrt.f64 -6))) (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (.f64 -1/32 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -27))))))
(+.f64 (.f64 1/64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5)))) (+.f64 (.f64 1/4 (.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (+.f64 (.f64 -1/32 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (.f64 1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))))))
(+.f64 (+.f64 (.f64 1/4 (.f64 v (sqrt.f64 -6))) (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (.f64 -1/32 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -27)))))) (.f64 1/64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 5) (sqrt.f64 -243)))))
(+.f64 (.f64 -1/32 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -27)))) (+.f64 (+.f64 (.f64 v (.f64 (sqrt.f64 -6) 1/4)) (.f64 1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3))))) (.f64 1/64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 5) (sqrt.f64 -243))))))
(+.f64 (.f64 1/4 (.f64 v (sqrt.f64 -6))) (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (+.f64 (.f64 -1/32 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -27)))) (.f64 1/64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 5) (sqrt.f64 -243)))))))
(+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (+.f64 (+.f64 (.f64 -1/32 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -27)))) (.f64 1/64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 5) (sqrt.f64 -243))))) (.f64 v (.f64 1/4 (sqrt.f64 -6)))))
(.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))))
(.f64 (.f64 v (sqrt.f64 -6)) -1/4)
(.f64 v (.f64 (sqrt.f64 -6) -1/4))
(.f64 (sqrt.f64 -6) (.f64 v -1/4))
(.f64 v (.f64 -1/4 (sqrt.f64 -6)))
(+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))))
(+.f64 (.f64 (.f64 v (sqrt.f64 -6)) -1/4) (.f64 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3))) -1/8))
(+.f64 (.f64 v (.f64 (sqrt.f64 -6) -1/4)) (.f64 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3))) -1/8))
(+.f64 (.f64 (sqrt.f64 -6) (.f64 v -1/4)) (.f64 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3))) -1/8))
(+.f64 (.f64 v (.f64 -1/4 (sqrt.f64 -6))) (.f64 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3))) -1/8))
(+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (.f64 1/32 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))))))
(+.f64 (.f64 (.f64 v (sqrt.f64 -6)) -1/4) (+.f64 (.f64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -27))) 1/32) (.f64 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3))) -1/8)))
(+.f64 (.f64 v (.f64 (sqrt.f64 -6) -1/4)) (+.f64 (.f64 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3))) -1/8) (.f64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -27))) 1/32)))
(+.f64 (.f64 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3))) -1/8) (+.f64 (.f64 (sqrt.f64 -6) (.f64 v -1/4)) (.f64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -27))) 1/32)))
(+.f64 (+.f64 (.f64 v (.f64 -1/4 (sqrt.f64 -6))) (.f64 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3))) -1/8)) (.f64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -27))) 1/32))
(+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (+.f64 (.f64 -1/64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5)))) (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (.f64 1/32 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))))))
(+.f64 (.f64 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3))) -1/8) (+.f64 (.f64 (.f64 v (sqrt.f64 -6)) -1/4) (+.f64 (.f64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -27))) 1/32) (.f64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 5) (sqrt.f64 -243))) -1/64))))
(+.f64 (.f64 v (.f64 (sqrt.f64 -6) -1/4)) (+.f64 (+.f64 (.f64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -27))) 1/32) (.f64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 5) (sqrt.f64 -243))) -1/64)) (.f64 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3))) -1/8)))
(+.f64 (.f64 (sqrt.f64 -6) (.f64 v -1/4)) (+.f64 (.f64 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3))) -1/8) (+.f64 (.f64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -27))) 1/32) (.f64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 5) (sqrt.f64 -243))) -1/64))))
(+.f64 (.f64 v (.f64 -1/4 (sqrt.f64 -6))) (+.f64 (.f64 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3))) -1/8) (+.f64 (.f64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -27))) 1/32) (.f64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 5) (sqrt.f64 -243))) -1/64))))
(*.f64 3 (pow.f64 v 2))
(*.f64 (pow.f64 v 2) 3)
(*.f64 3 (pow.f64 v 2))
(*.f64 (pow.f64 v 2) 3)
(*.f64 3 (pow.f64 v 2))
(*.f64 (pow.f64 v 2) 3)
(*.f64 3 (pow.f64 v 2))
(*.f64 (pow.f64 v 2) 3)
(*.f64 3 (pow.f64 v 2))
(*.f64 (pow.f64 v 2) 3)
(*.f64 3 (pow.f64 v 2))
(*.f64 (pow.f64 v 2) 3)
(*.f64 3 (pow.f64 v 2))
(*.f64 (pow.f64 v 2) 3)
(*.f64 3 (pow.f64 v 2))
(*.f64 (pow.f64 v 2) 3)
(*.f64 3 (pow.f64 v 2))
(*.f64 (pow.f64 v 2) 3)
(*.f64 3 (pow.f64 v 2))
(*.f64 (pow.f64 v 2) 3)
(*.f64 3 (pow.f64 v 2))
(*.f64 (pow.f64 v 2) 3)
(*.f64 3 (pow.f64 v 2))
(*.f64 (pow.f64 v 2) 3)
(*.f64 1/4 (sqrt.f64 2))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) -3/8)))
(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 -3/8 (pow.f64 v 2))))
(+.f64 (.f64 -9/32 (.f64 (sqrt.f64 2) (pow.f64 v 4))) (+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 2) -3/8)) (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 4) -9/32))))
(+.f64 (.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 -3/8 (pow.f64 v 2)))) (.f64 (sqrt.f64 2) (.f64 -9/32 (pow.f64 v 4))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 -9/32 (pow.f64 v 4)) (+.f64 1/4 (*.f64 -3/8 (pow.f64 v 2)))))
(.f64 (sqrt.f64 2) (+.f64 1/4 (+.f64 (.f64 -3/8 (pow.f64 v 2)) (*.f64 -9/32 (pow.f64 v 4)))))
(+.f64 (.f64 -9/32 (.f64 (sqrt.f64 2) (pow.f64 v 4))) (+.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (.f64 -27/64 (.f64 (sqrt.f64 2) (pow.f64 v 6))) (.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 4) -9/32)) (+.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 2) -3/8)) (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 6) -27/64)))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 -9/32 (pow.f64 v 4))) (+.f64 (.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 -3/8 (pow.f64 v 2)))) (.f64 (sqrt.f64 2) (.f64 -27/64 (pow.f64 v 6)))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 -9/32 (pow.f64 v 4))) (.f64 (sqrt.f64 2) (+.f64 (.f64 -27/64 (pow.f64 v 6)) (+.f64 1/4 (*.f64 -3/8 (pow.f64 v 2))))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 -27/64 (pow.f64 v 6)) (+.f64 1/4 (+.f64 (.f64 -3/8 (pow.f64 v 2)) (.f64 -9/32 (pow.f64 v 4))))))
(.f64 1/4 (.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))))
(.f64 1/4 (.f64 v (sqrt.f64 -6)))
(.f64 v (.f64 (sqrt.f64 -6) 1/4))
(.f64 v (.f64 1/4 (sqrt.f64 -6)))
(+.f64 (.f64 1/4 (.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (.f64 1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))))
(+.f64 (.f64 1/4 (.f64 v (sqrt.f64 -6))) (.f64 1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))))
(+.f64 (.f64 v (.f64 (sqrt.f64 -6) 1/4)) (.f64 1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))))
(+.f64 (.f64 v (.f64 1/4 (sqrt.f64 -6))) (.f64 1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))))
(+.f64 (.f64 1/4 (.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (+.f64 (.f64 -1/32 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (.f64 1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))))))
(+.f64 (.f64 1/4 (.f64 v (sqrt.f64 -6))) (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (.f64 -1/32 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -27))))))
(+.f64 (.f64 v (.f64 (sqrt.f64 -6) 1/4)) (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (.f64 -1/32 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -27))))))
(+.f64 (.f64 v (.f64 1/4 (sqrt.f64 -6))) (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (.f64 -1/32 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -27))))))
(+.f64 (.f64 1/64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5)))) (+.f64 (.f64 1/4 (.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (+.f64 (.f64 -1/32 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (.f64 1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))))))
(+.f64 (+.f64 (.f64 1/4 (.f64 v (sqrt.f64 -6))) (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (.f64 -1/32 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -27)))))) (.f64 1/64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 5) (sqrt.f64 -243)))))
(+.f64 (.f64 -1/32 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -27)))) (+.f64 (+.f64 (.f64 v (.f64 (sqrt.f64 -6) 1/4)) (.f64 1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3))))) (.f64 1/64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 5) (sqrt.f64 -243))))))
(+.f64 (.f64 1/4 (.f64 v (sqrt.f64 -6))) (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (+.f64 (.f64 -1/32 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -27)))) (.f64 1/64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 5) (sqrt.f64 -243)))))))
(+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (+.f64 (+.f64 (.f64 -1/32 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -27)))) (.f64 1/64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 5) (sqrt.f64 -243))))) (.f64 v (.f64 1/4 (sqrt.f64 -6)))))
(.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))))
(.f64 (.f64 v (sqrt.f64 -6)) -1/4)
(.f64 v (.f64 (sqrt.f64 -6) -1/4))
(.f64 (sqrt.f64 -6) (.f64 v -1/4))
(.f64 v (.f64 -1/4 (sqrt.f64 -6)))
(+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))))
(+.f64 (.f64 (.f64 v (sqrt.f64 -6)) -1/4) (.f64 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3))) -1/8))
(+.f64 (.f64 v (.f64 (sqrt.f64 -6) -1/4)) (.f64 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3))) -1/8))
(+.f64 (.f64 (sqrt.f64 -6) (.f64 v -1/4)) (.f64 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3))) -1/8))
(+.f64 (.f64 v (.f64 -1/4 (sqrt.f64 -6))) (.f64 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3))) -1/8))
(+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (.f64 1/32 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))))))
(+.f64 (.f64 (.f64 v (sqrt.f64 -6)) -1/4) (+.f64 (.f64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -27))) 1/32) (.f64 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3))) -1/8)))
(+.f64 (.f64 v (.f64 (sqrt.f64 -6) -1/4)) (+.f64 (.f64 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3))) -1/8) (.f64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -27))) 1/32)))
(+.f64 (.f64 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3))) -1/8) (+.f64 (.f64 (sqrt.f64 -6) (.f64 v -1/4)) (.f64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -27))) 1/32)))
(+.f64 (+.f64 (.f64 v (.f64 -1/4 (sqrt.f64 -6))) (.f64 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3))) -1/8)) (.f64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -27))) 1/32))
(+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (+.f64 (.f64 -1/64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5)))) (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (.f64 1/32 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))))))
(+.f64 (.f64 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3))) -1/8) (+.f64 (.f64 (.f64 v (sqrt.f64 -6)) -1/4) (+.f64 (.f64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -27))) 1/32) (.f64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 5) (sqrt.f64 -243))) -1/64))))
(+.f64 (.f64 v (.f64 (sqrt.f64 -6) -1/4)) (+.f64 (+.f64 (.f64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -27))) 1/32) (.f64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 5) (sqrt.f64 -243))) -1/64)) (.f64 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3))) -1/8)))
(+.f64 (.f64 (sqrt.f64 -6) (.f64 v -1/4)) (+.f64 (.f64 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3))) -1/8) (+.f64 (.f64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -27))) 1/32) (.f64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 5) (sqrt.f64 -243))) -1/64))))
(+.f64 (.f64 v (.f64 -1/4 (sqrt.f64 -6))) (+.f64 (.f64 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3))) -1/8) (+.f64 (.f64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -27))) 1/32) (.f64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 5) (sqrt.f64 -243))) -1/64))))
(*.f64 1/4 (sqrt.f64 2))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 1/4 (.f64 (pow.f64 v 2) (+.f64 (.f64 -1 (sqrt.f64 2)) (*.f64 -3/2 (sqrt.f64 2))))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 1/4 (.f64 (pow.f64 v 2) (+.f64 (.f64 (sqrt.f64 2) -1) (*.f64 (sqrt.f64 2) -3/2)))))
(.f64 1/4 (+.f64 (.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 2) -5/2)) (sqrt.f64 2)))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 2) -5/8)))
(.f64 1/4 (+.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2) (*.f64 -5/2 (pow.f64 v 2)))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (.f64 1/4 (.f64 (pow.f64 v 4) (+.f64 (.f64 -9/8 (sqrt.f64 2)) (.f64 3/2 (sqrt.f64 2))))) (.f64 1/4 (.f64 (pow.f64 v 2) (+.f64 (.f64 -1 (sqrt.f64 2)) (*.f64 -3/2 (sqrt.f64 2)))))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (.f64 1/4 (.f64 (pow.f64 v 2) (+.f64 (.f64 (sqrt.f64 2) -1) (.f64 (sqrt.f64 2) -3/2)))) (.f64 1/4 (.f64 (pow.f64 v 4) (+.f64 (.f64 (sqrt.f64 2) -9/8) (*.f64 (sqrt.f64 2) 3/2))))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 1/4 (+.f64 (.f64 (pow.f64 v 4) (.f64 (sqrt.f64 2) 3/8)) (.f64 (pow.f64 v 2) (.f64 (sqrt.f64 2) -5/2)))))
(+.f64 (.f64 (pow.f64 v 2) (.f64 (sqrt.f64 2) -5/8)) (+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 2) 3/32))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (.f64 1/4 (.f64 (pow.f64 v 4) (+.f64 (.f64 -9/8 (sqrt.f64 2)) (.f64 3/2 (sqrt.f64 2))))) (+.f64 (.f64 1/4 (.f64 (pow.f64 v 2) (+.f64 (.f64 -1 (sqrt.f64 2)) (.f64 -3/2 (sqrt.f64 2))))) (.f64 1/4 (.f64 (pow.f64 v 6) (+.f64 (.f64 9/8 (sqrt.f64 2)) (*.f64 -27/16 (sqrt.f64 2))))))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (.f64 1/4 (.f64 (pow.f64 v 4) (+.f64 (.f64 (sqrt.f64 2) -9/8) (.f64 (sqrt.f64 2) 3/2)))) (+.f64 (.f64 1/4 (.f64 (pow.f64 v 2) (+.f64 (.f64 (sqrt.f64 2) -1) (.f64 (sqrt.f64 2) -3/2)))) (.f64 1/4 (.f64 (pow.f64 v 6) (+.f64 (.f64 (sqrt.f64 2) 9/8) (*.f64 (sqrt.f64 2) -27/16)))))))
(+.f64 (.f64 1/4 (+.f64 (.f64 (pow.f64 v 6) (.f64 (sqrt.f64 2) -9/16)) (.f64 (pow.f64 v 2) (.f64 (sqrt.f64 2) -5/2)))) (+.f64 (.f64 (.f64 (sqrt.f64 2) 3/8) (.f64 (pow.f64 v 4) 1/4)) (*.f64 1/4 (sqrt.f64 2))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (.f64 (pow.f64 v 4) (.f64 (sqrt.f64 2) 3/32)) (+.f64 (.f64 (pow.f64 v 2) (.f64 (sqrt.f64 2) -5/8)) (.f64 (pow.f64 v 6) (*.f64 (sqrt.f64 2) -9/64)))))
(.f64 1/4 (+.f64 (sqrt.f64 2) (+.f64 (.f64 (sqrt.f64 2) (.f64 -5/2 (pow.f64 v 2))) (+.f64 (.f64 (sqrt.f64 2) (.f64 3/8 (pow.f64 v 4))) (.f64 (sqrt.f64 2) (*.f64 -9/16 (pow.f64 v 6)))))))
(+.f64 (.f64 (pow.f64 v 2) (.f64 (sqrt.f64 2) -5/8)) (+.f64 (.f64 (pow.f64 v 4) (.f64 (sqrt.f64 2) 3/32)) (+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 (pow.f64 v 6) (*.f64 (sqrt.f64 2) -9/64)))))
(.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))
(.f64 -1/4 (.f64 (pow.f64 v 3) (sqrt.f64 -6)))
(.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -6) -1/4))
(.f64 (sqrt.f64 -6) (.f64 (pow.f64 v 3) -1/4))
(+.f64 (.f64 1/4 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (.f64 1/4 (.f64 v (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6)))))
(+.f64 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -6) -1/4)) (.f64 v (.f64 1/4 (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6)))))
(+.f64 (.f64 (sqrt.f64 -6) (.f64 (pow.f64 v 3) -1/4)) (.f64 (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6)) (*.f64 1/4 v)))
(+.f64 (.f64 1/4 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (+.f64 (.f64 1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (.f64 -1/4 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -3))))))
(+.f64 (.f64 1/4 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6)))) (+.f64 (.f64 -1/4 (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (.f64 1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v))))
(+.f64 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -6) -1/4)) (+.f64 (.f64 v (.f64 1/4 (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6)))) (.f64 1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v))))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (.f64 1/4 (+.f64 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6))) (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v))))
(+.f64 (.f64 (sqrt.f64 -6) (.f64 (pow.f64 v 3) -1/4)) (.f64 1/4 (+.f64 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6))) (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v))))
(+.f64 (.f64 1/4 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (+.f64 (.f64 1/4 (/.f64 (+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 -1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)))) (pow.f64 v 3))) (+.f64 (.f64 1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))))))
(+.f64 (.f64 1/4 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6)))) (+.f64 (.f64 1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v)) (+.f64 (.f64 -1/4 (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (.f64 1/4 (/.f64 (+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (*.f64 -1/16 (/.f64 (sqrt.f64 2) (sqrt.f64 -243)))) (pow.f64 v 3))))))
(+.f64 (.f64 v (.f64 1/4 (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6)))) (+.f64 (.f64 1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v)) (+.f64 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -6) -1/4)) (.f64 1/4 (/.f64 (+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (*.f64 -1/16 (/.f64 (sqrt.f64 2) (sqrt.f64 -243)))) (pow.f64 v 3))))))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (+.f64 (.f64 1/4 (+.f64 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6))) (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v))) (.f64 1/4 (/.f64 (+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (.f64 -1/16 (/.f64 (sqrt.f64 2) (sqrt.f64 -243)))) (pow.f64 v 3)))))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (.f64 1/4 (+.f64 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6))) (+.f64 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v) (/.f64 (+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (*.f64 -1/16 (/.f64 (sqrt.f64 2) (sqrt.f64 -243)))) (pow.f64 v 3))))))
(+.f64 (.f64 (sqrt.f64 -6) (.f64 (pow.f64 v 3) -1/4)) (.f64 1/4 (+.f64 (/.f64 (+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (.f64 -1/16 (/.f64 (sqrt.f64 2) (sqrt.f64 -243)))) (pow.f64 v 3)) (+.f64 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6))) (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v)))))
(.f64 1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))
(.f64 1/4 (.f64 (pow.f64 v 3) (sqrt.f64 -6)))
(+.f64 (.f64 -1/4 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (.f64 1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))))
(+.f64 (.f64 1/4 (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (.f64 v (.f64 (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6)) -1/4)))
(+.f64 (.f64 1/4 (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (.f64 v (.f64 -1/4 (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6)))))
(+.f64 (.f64 1/4 (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (.f64 -1/4 (.f64 v (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6)))))
(+.f64 (.f64 1/4 (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (.f64 (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6)) (*.f64 v -1/4)))
(+.f64 (.f64 -1/4 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (+.f64 (.f64 -1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (.f64 1/4 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -3))))))
(+.f64 (.f64 v (.f64 (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6)) -1/4)) (+.f64 (.f64 1/4 (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (.f64 -1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v))))
(+.f64 (+.f64 (.f64 1/4 (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (.f64 v (.f64 -1/4 (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6))))) (.f64 -1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v)))
(+.f64 (.f64 1/4 (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (.f64 -1/4 (+.f64 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v) (.f64 v (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6))))))
(+.f64 (.f64 1/4 (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (.f64 -1/4 (+.f64 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6))) (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v))))
(+.f64 (.f64 -1/4 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (+.f64 (.f64 -1/4 (/.f64 (+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 -1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)))) (pow.f64 v 3))) (+.f64 (.f64 -1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (.f64 1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))))))
(+.f64 (.f64 v (.f64 (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6)) -1/4)) (+.f64 (.f64 -1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v)) (+.f64 (.f64 1/4 (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (.f64 -1/4 (/.f64 (+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (*.f64 -1/16 (/.f64 (sqrt.f64 2) (sqrt.f64 -243)))) (pow.f64 v 3))))))
(+.f64 (.f64 -1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v)) (+.f64 (+.f64 (.f64 1/4 (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (.f64 -1/4 (/.f64 (+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (.f64 -1/16 (/.f64 (sqrt.f64 2) (sqrt.f64 -243)))) (pow.f64 v 3)))) (.f64 v (.f64 -1/4 (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6))))))
(+.f64 (.f64 -1/4 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6)))) (+.f64 (.f64 1/4 (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (.f64 -1/4 (+.f64 (/.f64 (+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (.f64 -1/16 (/.f64 (sqrt.f64 2) (sqrt.f64 -243)))) (pow.f64 v 3)) (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v)))))
(+.f64 (.f64 1/4 (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (.f64 -1/4 (+.f64 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6))) (+.f64 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v) (/.f64 (+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (*.f64 -1/16 (/.f64 (sqrt.f64 2) (sqrt.f64 -243)))) (pow.f64 v 3))))))
(+.f64 0 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v))))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 v (*.f64 v 3)))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (+.f64 1 (.f64 v (*.f64 v -3)))))
(+.f64 -1 (+.f64 1 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 v (*.f64 v 3)))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (+.f64 1 (.f64 v (*.f64 v -3)))))
(+.f64 1 (+.f64 -1 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 v (*.f64 v 3)))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (+.f64 1 (.f64 v (*.f64 v -3)))))
(+.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v))))) 0)
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 v (*.f64 v 3)))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (+.f64 1 (.f64 v (*.f64 v -3)))))
(+.f64 (+.f64 1 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))) -1)
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 v (*.f64 v 3)))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (+.f64 1 (.f64 v (*.f64 v -3)))))
(+.f64 (+.f64 -1 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))) 1)
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 v (*.f64 v 3)))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (+.f64 1 (.f64 v (*.f64 v -3)))))
(.f64 -1 (neg.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 v (*.f64 v 3)))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (+.f64 1 (.f64 v (*.f64 v -3)))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 v (*.f64 v 3)))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (+.f64 1 (.f64 v (*.f64 v -3)))))
(.f64 1 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 v (*.f64 v 3)))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (+.f64 1 (.f64 v (*.f64 v -3)))))
(.f64 (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))) (/.f64 (sqrt.f64 2) 4))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 v (*.f64 v 3)))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (+.f64 1 (.f64 v (*.f64 v -3)))))
(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) 1)
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 v (*.f64 v 3)))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (+.f64 1 (.f64 v (*.f64 v -3)))))
(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (/.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 v (*.f64 v 3)))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (+.f64 1 (.f64 v (*.f64 v -3)))))
(.f64 (neg.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))))) -1)
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 v (*.f64 v 3)))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (+.f64 1 (.f64 v (*.f64 v -3)))))
(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (.f64 (+.f64 -1 (.f64 3 (.f64 v v))) (+.f64 -1 (.f64 3 (.f64 v v))))))) (/.f64 1 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 v (*.f64 v 3)))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (+.f64 1 (.f64 v (*.f64 v -3)))))
(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (.f64 (+.f64 -1 (.f64 3 (.f64 v v))) (+.f64 -1 (.f64 3 (.f64 v v))))))) (.f64 (/.f64 1 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))))) 1))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 v (*.f64 v 3)))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (+.f64 1 (.f64 v (*.f64 v -3)))))
(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (.f64 (+.f64 -1 (.f64 3 (.f64 v v))) (+.f64 -1 (.f64 3 (.f64 v v))))))) (/.f64 -1 (neg.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v))))))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 v (*.f64 v 3)))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (+.f64 1 (.f64 v (*.f64 v -3)))))
(.f64 (sqrt.f64 (.f64 (+.f64 -1 (.f64 3 (.f64 v v))) (+.f64 -1 (.f64 3 (.f64 v v))))) (.f64 (/.f64 1 (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v))))) (/.f64 (sqrt.f64 2) 4)))
(.f64 (sqrt.f64 (.f64 (+.f64 -1 (.f64 v (.f64 v 3))) (+.f64 -1 (.f64 v (.f64 v 3))))) (.f64 (/.f64 (sqrt.f64 2) 4) (/.f64 1 (sqrt.f64 (-.f64 1 (.f64 v (*.f64 v 3)))))))
(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (/.f64 1 (sqrt.f64 (-.f64 1 (.f64 v (.f64 v 3))))) (sqrt.f64 (.f64 (+.f64 -1 (.f64 v (.f64 v 3))) (+.f64 -1 (.f64 v (*.f64 v 3)))))))
(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (.f64 (-.f64 1 (.f64 v (.f64 v 3))) (-.f64 1 (.f64 v (.f64 v 3))))) (/.f64 1 (sqrt.f64 (-.f64 1 (.f64 v (*.f64 v 3)))))))
(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (.f64 (+.f64 1 (.f64 v (.f64 v -3))) (+.f64 1 (.f64 v (.f64 v -3))))) (/.f64 1 (sqrt.f64 (+.f64 1 (.f64 v (*.f64 v -3)))))))
(.f64 (sqrt.f64 (+.f64 1 (.f64 v (.f64 v -3)))) (/.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (+.f64 1 (.f64 v (.f64 v -3))))) (sqrt.f64 (+.f64 1 (.f64 v (.f64 v -3))))))
(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (/.f64 (sqrt.f64 2) 4)) (.f64 (/.f64 1 (/.f64 (sqrt.f64 2) 4)) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v))))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 v (*.f64 v 3)))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (+.f64 1 (.f64 v (*.f64 v -3)))))
(.f64 (/.f64 1 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))))) (.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (.f64 (+.f64 -1 (.f64 3 (.f64 v v))) (+.f64 -1 (.f64 3 (*.f64 v v))))))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 v (*.f64 v 3)))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (+.f64 1 (.f64 v (*.f64 v -3)))))
(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (.f64 (+.f64 -1 (.f64 3 (.f64 v v))) (+.f64 -1 (.f64 3 (.f64 v v)))))) (.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (.f64 (+.f64 -1 (.f64 3 (.f64 v v))) (+.f64 -1 (.f64 3 (.f64 v v))))))))) (/.f64 (/.f64 1 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))))) (.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (.f64 (+.f64 -1 (.f64 3 (.f64 v v))) (+.f64 -1 (.f64 3 (.f64 v v)))))))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 v (*.f64 v 3)))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (+.f64 1 (.f64 v (*.f64 v -3)))))
(/.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v))))) 1)
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 v (*.f64 v 3)))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (+.f64 1 (.f64 v (*.f64 v -3)))))
(/.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (/.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 v (*.f64 v 3)))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (+.f64 1 (.f64 v (*.f64 v -3)))))
(/.f64 (neg.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))) -1)
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 v (*.f64 v 3)))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (+.f64 1 (.f64 v (*.f64 v -3)))))
(pow.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v))))) 1)
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 v (*.f64 v 3)))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (+.f64 1 (.f64 v (*.f64 v -3)))))
(neg.f64 (neg.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 v (*.f64 v 3)))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (+.f64 1 (.f64 v (*.f64 v -3)))))
(+.f64 0 (.f64 3 (.f64 v v)))
(.f64 v (.f64 v 3))
(+.f64 (.f64 3 (.f64 v v)) 0)
(.f64 v (.f64 v 3))
(-.f64 0 (neg.f64 (.f64 3 (.f64 v v))))
(.f64 v (.f64 v 3))
(-.f64 (.f64 3 (.f64 v v)) 0)
(.f64 v (.f64 v 3))
(/.f64 (.f64 3 (.f64 v v)) 1)
(.f64 v (.f64 v 3))
(/.f64 (.f64 3 (.f64 v v)) (/.f64 (.f64 3 (.f64 v v)) (.f64 3 (.f64 v v))))
(.f64 v (.f64 v 3))
(pow.f64 (.f64 3 (.f64 v v)) 1)
(.f64 v (.f64 v 3))
(neg.f64 (neg.f64 (.f64 3 (.f64 v v))))
(.f64 v (.f64 v 3))
(fabs.f64 (.f64 3 (.f64 v v)))
(.f64 v (.f64 v 3))
(fabs.f64 (neg.f64 (.f64 3 (.f64 v v))))
(.f64 v (.f64 v 3))
(fabs.f64 (/.f64 (.f64 3 (.f64 v v)) (fabs.f64 (/.f64 (.f64 3 (.f64 v v)) (.f64 3 (.f64 v v))))))
(.f64 v (.f64 v 3))
(fabs.f64 (.f64 (fabs.f64 v) (.f64 3 v)))
(.f64 v (.f64 v 3))
(fabs.f64 (.f64 (neg.f64 v) (.f64 3 v)))
(.f64 v (.f64 v 3))
(fabs.f64 (.f64 (/.f64 v (fabs.f64 (/.f64 v v))) (.f64 3 v)))
(.f64 v (.f64 v 3))
(fabs.f64 (.f64 (.f64 3 v) (fabs.f64 v)))
(.f64 v (.f64 v 3))
(fabs.f64 (.f64 (.f64 3 v) (neg.f64 v)))
(.f64 v (.f64 v 3))
(fabs.f64 (.f64 (.f64 3 v) (/.f64 v (fabs.f64 (/.f64 v v)))))
(.f64 v (.f64 v 3))
(fabs.f64 (/.f64 (neg.f64 (.f64 3 (.f64 v v))) (fabs.f64 (/.f64 (.f64 3 (.f64 v v)) (.f64 3 (.f64 v v))))))
(.f64 v (.f64 v 3))
(fabs.f64 (/.f64 (.f64 3 (.f64 v v)) (neg.f64 (/.f64 (.f64 3 (.f64 v v)) (.f64 3 (.f64 v v))))))
(.f64 v (.f64 v 3))
(+.f64 0 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v))))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 v (*.f64 v 3)))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (+.f64 1 (.f64 v (*.f64 v -3)))))
(+.f64 -1 (+.f64 1 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 v (*.f64 v 3)))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (+.f64 1 (.f64 v (*.f64 v -3)))))
(+.f64 1 (+.f64 -1 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 v (*.f64 v 3)))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (+.f64 1 (.f64 v (*.f64 v -3)))))
(+.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v))))) 0)
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 v (*.f64 v 3)))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (+.f64 1 (.f64 v (*.f64 v -3)))))
(+.f64 (+.f64 1 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))) -1)
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 v (*.f64 v 3)))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (+.f64 1 (.f64 v (*.f64 v -3)))))
(+.f64 (+.f64 -1 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))) 1)
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 v (*.f64 v 3)))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (+.f64 1 (.f64 v (*.f64 v -3)))))
(-.f64 0 (neg.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 v (*.f64 v 3)))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (+.f64 1 (.f64 v (*.f64 v -3)))))
(-.f64 0 (+.f64 (-.f64 2 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))) -2))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 v (*.f64 v 3)))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (+.f64 1 (.f64 v (*.f64 v -3)))))
(-.f64 0 (+.f64 (+.f64 -2 (-.f64 1 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v))))))) 1))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 v (*.f64 v 3)))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (+.f64 1 (.f64 v (*.f64 v -3)))))
(-.f64 0 (+.f64 (+.f64 2 (-.f64 -1 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v))))))) -1))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 v (*.f64 v 3)))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (+.f64 1 (.f64 v (*.f64 v -3)))))
(-.f64 -1 (-.f64 -1 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 v (*.f64 v 3)))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (+.f64 1 (.f64 v (*.f64 v -3)))))
(-.f64 -1 (+.f64 -2 (-.f64 1 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v))))))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 v (*.f64 v 3)))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (+.f64 1 (.f64 v (*.f64 v -3)))))
(-.f64 -1 (+.f64 (+.f64 (neg.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))) -2) 1))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 v (*.f64 v 3)))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (+.f64 1 (.f64 v (*.f64 v -3)))))
(-.f64 -1 (+.f64 (+.f64 -1 (-.f64 -2 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v))))))) 2))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 v (*.f64 v 3)))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (+.f64 1 (.f64 v (*.f64 v -3)))))
(-.f64 2 (+.f64 2 (neg.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v))))))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 v (*.f64 v 3)))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (+.f64 1 (.f64 v (*.f64 v -3)))))
(-.f64 2 (-.f64 2 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 v (*.f64 v 3)))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (+.f64 1 (.f64 v (*.f64 v -3)))))
(-.f64 1 (-.f64 1 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 v (*.f64 v 3)))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (+.f64 1 (.f64 v (*.f64 v -3)))))
(-.f64 1 (+.f64 2 (-.f64 -1 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v))))))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 v (*.f64 v 3)))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (+.f64 1 (.f64 v (*.f64 v -3)))))
(-.f64 1 (+.f64 (+.f64 2 (neg.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v))))))) -1))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 v (*.f64 v 3)))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (+.f64 1 (.f64 v (*.f64 v -3)))))
(-.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v))))) 0)
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 v (*.f64 v 3)))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (+.f64 1 (.f64 v (*.f64 v -3)))))
(-.f64 (+.f64 1 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))) 1)
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 v (*.f64 v 3)))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (+.f64 1 (.f64 v (*.f64 v -3)))))
(-.f64 (+.f64 -1 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))) -1)
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 v (*.f64 v 3)))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (+.f64 1 (.f64 v (*.f64 v -3)))))
(-.f64 (+.f64 2 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))) 2)
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 v (*.f64 v 3)))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (+.f64 1 (.f64 v (*.f64 v -3)))))
(-.f64 -2 (-.f64 -2 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 v (*.f64 v 3)))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (+.f64 1 (.f64 v (*.f64 v -3)))))
(-.f64 -2 (+.f64 (neg.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))) -2))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 v (*.f64 v 3)))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (+.f64 1 (.f64 v (*.f64 v -3)))))
(-.f64 -2 (+.f64 (+.f64 (-.f64 -1 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))) -2) 1))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 v (*.f64 v 3)))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (+.f64 1 (.f64 v (*.f64 v -3)))))
(-.f64 (-.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v))))) 2) -2)
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 v (*.f64 v 3)))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (+.f64 1 (.f64 v (*.f64 v -3)))))
(-.f64 -3 (+.f64 (-.f64 -1 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))) -2))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 v (*.f64 v 3)))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (+.f64 1 (.f64 v (*.f64 v -3)))))
(-.f64 -3 (+.f64 -1 (-.f64 -2 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v))))))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 v (*.f64 v 3)))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (+.f64 1 (.f64 v (*.f64 v -3)))))
(-.f64 (-.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v))))) -3) 3)
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 v (*.f64 v 3)))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (+.f64 1 (.f64 v (*.f64 v -3)))))
(-.f64 (-.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v))))) 3) -3)
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 v (*.f64 v 3)))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (+.f64 1 (.f64 v (*.f64 v -3)))))
(/.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v))))) 1)
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 v (*.f64 v 3)))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (+.f64 1 (.f64 v (*.f64 v -3)))))
(/.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (/.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 v (*.f64 v 3)))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (+.f64 1 (.f64 v (*.f64 v -3)))))
(/.f64 (neg.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))) -1)
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 v (*.f64 v 3)))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (+.f64 1 (.f64 v (*.f64 v -3)))))
(pow.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v))))) 1)
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 v (*.f64 v 3)))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (+.f64 1 (.f64 v (*.f64 v -3)))))
(neg.f64 (neg.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 v (*.f64 v 3)))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (+.f64 1 (.f64 v (*.f64 v -3)))))
(+.f64 0 (.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (*.f64 v v)))))
(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (-.f64 1 (.f64 v (.f64 v 3)))) (-.f64 1 (*.f64 v v))))
(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (+.f64 1 (.f64 v (.f64 v -3)))) (-.f64 1 (*.f64 v v))))
(+.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (*.f64 v v)))) 0)
(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (-.f64 1 (.f64 v (.f64 v 3)))) (-.f64 1 (*.f64 v v))))
(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (+.f64 1 (.f64 v (.f64 v -3)))) (-.f64 1 (*.f64 v v))))
(-.f64 0 (neg.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (*.f64 v v))))))
(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (-.f64 1 (.f64 v (.f64 v 3)))) (-.f64 1 (*.f64 v v))))
(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (+.f64 1 (.f64 v (.f64 v -3)))) (-.f64 1 (*.f64 v v))))
(-.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (*.f64 v v)))) 0)
(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (-.f64 1 (.f64 v (.f64 v 3)))) (-.f64 1 (*.f64 v v))))
(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (+.f64 1 (.f64 v (.f64 v -3)))) (-.f64 1 (*.f64 v v))))
(/.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (*.f64 v v)))) 1)
(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (-.f64 1 (.f64 v (.f64 v 3)))) (-.f64 1 (*.f64 v v))))
(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (+.f64 1 (.f64 v (.f64 v -3)))) (-.f64 1 (*.f64 v v))))
(/.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (.f64 v v)))) (/.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (.f64 v v)))) (.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (*.f64 v v))))))
(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (-.f64 1 (.f64 v (.f64 v 3)))) (-.f64 1 (*.f64 v v))))
(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (+.f64 1 (.f64 v (.f64 v -3)))) (-.f64 1 (*.f64 v v))))
(pow.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (*.f64 v v)))) 1)
(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (-.f64 1 (.f64 v (.f64 v 3)))) (-.f64 1 (*.f64 v v))))
(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (+.f64 1 (.f64 v (.f64 v -3)))) (-.f64 1 (*.f64 v v))))
(neg.f64 (neg.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (*.f64 v v))))))
(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (-.f64 1 (.f64 v (.f64 v 3)))) (-.f64 1 (*.f64 v v))))
(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (+.f64 1 (.f64 v (.f64 v -3)))) (-.f64 1 (*.f64 v v))))

eval408.0ms (4%)

Compiler: Compiled 6492 to 5343 computations (17.7% saved)

prune59.0ms (0.6%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	213	2	215
Fresh	0	0	0
Picked	1	0	1
Done	0	4	4
Total	214	6	220

Error

Counts

220 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (-.f64 1 (.f64 v (.f64 3 v)))) (-.f64 1 (*.f64 v v))))
▶	1.0b	(.f64 (+.f64 (+.f64 1 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))))) -1) (-.f64 1 (*.f64 v v)))
✓	0.0b	(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 v (.f64 v 3))))) (-.f64 1 (*.f64 v v)))
✓	0.3b	(.f64 (.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 (pow.f64 v 2) -3/8))) (-.f64 1 (.f64 v v)))
▶	0.5b	(.f64 (.f64 1/4 (sqrt.f64 2)) (-.f64 1 (*.f64 v v)))
✓	0.5b	(*.f64 1/4 (sqrt.f64 2))

Compiler

Compiled 97 to 79 computations (18.6% saved)

localize22.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (.f64 1/4 (sqrt.f64 2)) (-.f64 1 (*.f64 v v)))

Compiler

Compiled 29 to 20 computations (31% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	v	@	0	(.f64 (.f64 1/4 (sqrt.f64 2)) (-.f64 1 (*.f64 v v)))
1.0ms	v	@	inf	(.f64 (.f64 1/4 (sqrt.f64 2)) (-.f64 1 (*.f64 v v)))
0.0ms	v	@	-inf	(.f64 (.f64 1/4 (sqrt.f64 2)) (-.f64 1 (*.f64 v v)))

rewrite132.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

764×	`rational.json-simplify-54`
740×	`rational.json-simplify-79`
678×	`rational.json-simplify-47`
662×	`rational.json-simplify-49`
660×	`rational.json-simplify-58`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	29
1	98	29
2	284	29
3	1065	29
4	4304	29

Stop Event

1×	node limit

Counts

1 → 9

Calls

Call 1

Inputs
(.f64 (.f64 1/4 (sqrt.f64 2)) (-.f64 1 (*.f64 v v)))

Outputs

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

simplify214.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1372×	`rational.json-simplify-79`
1342×	`rational.json-simplify-43`
1102×	`rational.json-simplify-104`
946×	`rational.json-simplify-76`
850×	`rational.json-simplify-47`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	33	725
1	64	635
2	131	635
3	307	621
4	877	621
5	3443	621
6	5200	621
7	6883	621

Stop Event

1×	node limit

Counts

21 → 22

Calls

Call 1

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

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

localize73.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
✓	0.0b	(.f64 (+.f64 (+.f64 1 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))))) -1) (-.f64 1 (*.f64 v v)))
	0.2b	(.f64 3 (.f64 v v))
✓	1.0b	(+.f64 (+.f64 1 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))) -1)

Compiler

Compiled 109 to 79 computations (27.5% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	v	@	inf	(.f64 (+.f64 (+.f64 1 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))))) -1) (-.f64 1 (*.f64 v v)))
0.0ms	v	@	-inf	(.f64 (+.f64 (+.f64 1 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))))) -1) (-.f64 1 (*.f64 v v)))
0.0ms	v	@	inf	(+.f64 (+.f64 1 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))) -1)
0.0ms	v	@	0	(+.f64 (+.f64 1 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))) -1)
0.0ms	v	@	0	(.f64 (+.f64 (+.f64 1 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))))) -1) (-.f64 1 (*.f64 v v)))

rewrite170.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1110×	`rational.json-simplify-47`
748×	`exponential.json-3`
748×	`rational.json-1`
748×	`rational.json-2`
748×	`rational.json-4`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	120
1	170	96
2	499	96
3	1721	96
4	6804	96

Stop Event

1×	node limit

Counts

2 → 39

Calls

Call 1

Inputs

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

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

Outputs

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

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

simplify269.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

1378×	`rational.json-simplify-111`
1104×	`rational.json-simplify-2`
1020×	`rational.json-simplify-1`
738×	`rational.json-simplify-55`
658×	`rational.json-simplify-104`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	212	3721
1	451	3577
2	1159	3515
3	2593	3493
4	5539	3491

Stop Event

1×	node limit

Counts

63 → 156

Calls

Call 1

Inputs
(*.f64 1/4 (sqrt.f64 2))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (.f64 -9/32 (.f64 (sqrt.f64 2) (pow.f64 v 4))) (+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))))
(+.f64 (.f64 -9/32 (.f64 (sqrt.f64 2) (pow.f64 v 4))) (+.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (.f64 -27/64 (.f64 (sqrt.f64 2) (pow.f64 v 6))) (.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))))
(.f64 1/4 (.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))))
(+.f64 (.f64 1/4 (.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (.f64 1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))))
(+.f64 (.f64 1/4 (.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (+.f64 (.f64 -1/32 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (.f64 1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))))))
(+.f64 (.f64 1/64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5)))) (+.f64 (.f64 1/4 (.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (+.f64 (.f64 -1/32 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (.f64 1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))))))
(.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))))
(+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))))
(+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (.f64 1/32 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))))))
(+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (+.f64 (.f64 -1/64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5)))) (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (.f64 1/32 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))))))
(*.f64 1/4 (sqrt.f64 2))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 1/4 (.f64 (pow.f64 v 2) (+.f64 (.f64 -1 (sqrt.f64 2)) (*.f64 -3/2 (sqrt.f64 2))))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (.f64 1/4 (.f64 (pow.f64 v 4) (+.f64 (.f64 -9/8 (sqrt.f64 2)) (.f64 3/2 (sqrt.f64 2))))) (.f64 1/4 (.f64 (pow.f64 v 2) (+.f64 (.f64 -1 (sqrt.f64 2)) (*.f64 -3/2 (sqrt.f64 2)))))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (.f64 1/4 (.f64 (pow.f64 v 4) (+.f64 (.f64 -9/8 (sqrt.f64 2)) (.f64 3/2 (sqrt.f64 2))))) (+.f64 (.f64 1/4 (.f64 (pow.f64 v 2) (+.f64 (.f64 -1 (sqrt.f64 2)) (.f64 -3/2 (sqrt.f64 2))))) (.f64 1/4 (.f64 (pow.f64 v 6) (+.f64 (.f64 9/8 (sqrt.f64 2)) (*.f64 -27/16 (sqrt.f64 2))))))))
(.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))
(+.f64 (.f64 1/4 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))))
(+.f64 (.f64 1/4 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (+.f64 (.f64 1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (.f64 -1/4 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -3))))))
(+.f64 (.f64 1/4 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (+.f64 (.f64 1/4 (/.f64 (+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 -1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)))) (pow.f64 v 3))) (+.f64 (.f64 1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))))))
(.f64 1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))
(+.f64 (.f64 -1/4 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (.f64 1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))))
(+.f64 (.f64 -1/4 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (+.f64 (.f64 -1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (.f64 1/4 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -3))))))
(+.f64 (.f64 -1/4 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (+.f64 (.f64 -1/4 (/.f64 (+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 -1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)))) (pow.f64 v 3))) (+.f64 (.f64 -1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (.f64 1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))))))
(-.f64 1 (-.f64 1 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))))
(-.f64 2 (-.f64 2 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))))
(-.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v))))) 0)
(-.f64 (+.f64 1 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))) 1)
(-.f64 -1 (-.f64 -1 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))))
(-.f64 0 (neg.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))))
(-.f64 (+.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v))))) -1) -1)
(-.f64 (+.f64 2 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))) 2)
(-.f64 (-.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v))))) 2) -2)
(-.f64 -2 (-.f64 -2 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))))
(-.f64 (-.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v))))) 3) -3)
(-.f64 (-.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v))))) -3) 3)
(-.f64 (-.f64 0 (-.f64 -2 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v))))))) 2)
(.f64 1 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
(.f64 (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))) (/.f64 (sqrt.f64 2) 4))
(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) 1)
(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (/.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))))))
(.f64 (neg.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))))) -1)
(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (/.f64 (sqrt.f64 2) 4)) (.f64 (/.f64 1 (/.f64 (sqrt.f64 2) 4)) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v))))))
(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (.f64 (+.f64 (.f64 3 (.f64 v v)) -1) (+.f64 (.f64 3 (.f64 v v)) -1))))) (/.f64 1 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))))
(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (.f64 (+.f64 (.f64 3 (.f64 v v)) -1) (+.f64 (.f64 3 (.f64 v v)) -1))))) (.f64 (/.f64 1 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))))) 1))
(.f64 (sqrt.f64 (.f64 (+.f64 (.f64 3 (.f64 v v)) -1) (+.f64 (.f64 3 (.f64 v v)) -1))) (.f64 (/.f64 1 (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v))))) (/.f64 (sqrt.f64 2) 4)))
(.f64 (/.f64 1 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))))) (.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (.f64 (+.f64 (.f64 3 (.f64 v v)) -1) (+.f64 (.f64 3 (*.f64 v v)) -1))))))
(.f64 (.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (.f64 (+.f64 (.f64 3 (.f64 v v)) -1) (+.f64 (.f64 3 (.f64 v v)) -1))))) (.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (.f64 (+.f64 (.f64 3 (.f64 v v)) -1) (+.f64 (.f64 3 (.f64 v v)) -1)))))) (/.f64 (/.f64 1 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))))) (.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (.f64 (+.f64 (.f64 3 (.f64 v v)) -1) (+.f64 (.f64 3 (.f64 v v)) -1)))))))
(/.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v))))) 1)
(/.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (/.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))))
(/.f64 (neg.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))) -1)
(pow.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v))))) 1)
(neg.f64 (neg.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))))
(+.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (*.f64 v v)))) 0)
(+.f64 0 (.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (*.f64 v v)))))
(-.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (*.f64 v v)))) 0)
(-.f64 0 (neg.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (*.f64 v v))))))
(-.f64 (-.f64 0 (-.f64 -1 (.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (*.f64 v v)))))) 1)
(/.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (*.f64 v v)))) 1)
(/.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (.f64 v v)))) (/.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (.f64 v v)))) (.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (*.f64 v v))))))
(pow.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (*.f64 v v)))) 1)
(neg.f64 (neg.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (*.f64 v v))))))

Outputs
(*.f64 1/4 (sqrt.f64 2))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) -3/8)))
(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 -3/8 (pow.f64 v 2))))
(+.f64 (.f64 -9/32 (.f64 (sqrt.f64 2) (pow.f64 v 4))) (+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 2) -3/8)) (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 4) -9/32))))
(+.f64 (.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 -3/8 (pow.f64 v 2)))) (.f64 (sqrt.f64 2) (.f64 -9/32 (pow.f64 v 4))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 -9/32 (pow.f64 v 4)) (+.f64 1/4 (*.f64 -3/8 (pow.f64 v 2)))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 -3/8 (pow.f64 v 2)) (+.f64 1/4 (*.f64 -9/32 (pow.f64 v 4)))))
(+.f64 (.f64 -9/32 (.f64 (sqrt.f64 2) (pow.f64 v 4))) (+.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (.f64 -27/64 (.f64 (sqrt.f64 2) (pow.f64 v 6))) (.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 2) -3/8)) (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 6) -27/64))) (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 4) -9/32))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 -9/32 (pow.f64 v 4))) (+.f64 (.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 -3/8 (pow.f64 v 2)))) (.f64 (sqrt.f64 2) (.f64 -27/64 (pow.f64 v 6)))))
(+.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -27/64 (pow.f64 v 6)) (.f64 -3/8 (pow.f64 v 2)))) (.f64 (sqrt.f64 2) (+.f64 1/4 (*.f64 -9/32 (pow.f64 v 4)))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 -27/64 (pow.f64 v 6)) (+.f64 (.f64 -3/8 (pow.f64 v 2)) (+.f64 1/4 (.f64 -9/32 (pow.f64 v 4))))))
(.f64 1/4 (.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))))
(.f64 1/4 (.f64 v (sqrt.f64 -6)))
(.f64 (sqrt.f64 -6) (.f64 1/4 v))
(+.f64 (.f64 1/4 (.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (.f64 1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))))
(+.f64 (.f64 1/4 (.f64 v (sqrt.f64 -6))) (.f64 1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))))
(+.f64 (.f64 (sqrt.f64 -6) (.f64 1/4 v)) (.f64 1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))))
(+.f64 (.f64 1/4 (.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (+.f64 (.f64 -1/32 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (.f64 1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))))))
(+.f64 (.f64 1/4 (.f64 v (sqrt.f64 -6))) (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (.f64 -1/32 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -27))))))
(+.f64 (.f64 (sqrt.f64 -6) (.f64 1/4 v)) (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (.f64 -1/32 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -27))))))
(+.f64 (.f64 1/64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5)))) (+.f64 (.f64 1/4 (.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (+.f64 (.f64 -1/32 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (.f64 1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))))))
(+.f64 (.f64 1/4 (.f64 v (sqrt.f64 -6))) (+.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (.f64 -1/32 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -27))))) (.f64 1/64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 5) (sqrt.f64 -243))))))
(+.f64 (.f64 (sqrt.f64 -6) (.f64 1/4 v)) (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (+.f64 (.f64 -1/32 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -27)))) (.f64 1/64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 5) (sqrt.f64 -243)))))))
(+.f64 (+.f64 (.f64 (sqrt.f64 -6) (.f64 1/4 v)) (.f64 1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3))))) (+.f64 (.f64 -1/32 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -27)))) (.f64 1/64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 5) (sqrt.f64 -243))))))
(+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (+.f64 (.f64 1/64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 5) (sqrt.f64 -243)))) (+.f64 (.f64 (sqrt.f64 -6) (.f64 1/4 v)) (.f64 -1/32 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -27)))))))
(.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))))
(.f64 (.f64 v (sqrt.f64 -6)) -1/4)
(.f64 v (.f64 (sqrt.f64 -6) -1/4))
(.f64 v (.f64 -1/4 (sqrt.f64 -6)))
(.f64 (sqrt.f64 -6) (.f64 v -1/4))
(+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))))
(+.f64 (.f64 (.f64 v (sqrt.f64 -6)) -1/4) (.f64 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3))) -1/8))
(+.f64 (.f64 v (.f64 (sqrt.f64 -6) -1/4)) (.f64 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3))) -1/8))
(+.f64 (.f64 v (.f64 -1/4 (sqrt.f64 -6))) (.f64 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3))) -1/8))
(+.f64 (.f64 (sqrt.f64 -6) (.f64 v -1/4)) (.f64 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3))) -1/8))
(+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (.f64 1/32 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))))))
(+.f64 (.f64 (.f64 v (sqrt.f64 -6)) -1/4) (+.f64 (.f64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -27))) 1/32) (.f64 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3))) -1/8)))
(+.f64 (.f64 v (.f64 (sqrt.f64 -6) -1/4)) (+.f64 (.f64 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3))) -1/8) (.f64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -27))) 1/32)))
(+.f64 (.f64 v (.f64 -1/4 (sqrt.f64 -6))) (+.f64 (.f64 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3))) -1/8) (.f64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -27))) 1/32)))
(+.f64 (.f64 (sqrt.f64 -6) (.f64 v -1/4)) (+.f64 (.f64 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3))) -1/8) (.f64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -27))) 1/32)))
(+.f64 (+.f64 (.f64 (sqrt.f64 -6) (.f64 v -1/4)) (.f64 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3))) -1/8)) (.f64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -27))) 1/32))
(+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (+.f64 (.f64 -1/64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5)))) (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (.f64 1/32 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))))))
(+.f64 (.f64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 5) (sqrt.f64 -243))) -1/64) (+.f64 (.f64 (.f64 v (sqrt.f64 -6)) -1/4) (+.f64 (.f64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -27))) 1/32) (.f64 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3))) -1/8))))
(+.f64 (.f64 v (.f64 (sqrt.f64 -6) -1/4)) (+.f64 (+.f64 (.f64 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3))) -1/8) (.f64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -27))) 1/32)) (.f64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 5) (sqrt.f64 -243))) -1/64)))
(+.f64 (.f64 v (.f64 -1/4 (sqrt.f64 -6))) (+.f64 (.f64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 5) (sqrt.f64 -243))) -1/64) (+.f64 (.f64 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3))) -1/8) (.f64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -27))) 1/32))))
(+.f64 (.f64 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3))) -1/8) (+.f64 (.f64 (sqrt.f64 -6) (.f64 v -1/4)) (+.f64 (.f64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -27))) 1/32) (.f64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 5) (sqrt.f64 -243))) -1/64))))
(*.f64 1/4 (sqrt.f64 2))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 1/4 (.f64 (pow.f64 v 2) (+.f64 (.f64 -1 (sqrt.f64 2)) (*.f64 -3/2 (sqrt.f64 2))))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 1/4 (.f64 (pow.f64 v 2) (+.f64 (.f64 (sqrt.f64 2) -1) (*.f64 (sqrt.f64 2) -3/2)))))
(.f64 1/4 (+.f64 (.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 2) -5/2)) (sqrt.f64 2)))
(.f64 1/4 (+.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2) (*.f64 -5/2 (pow.f64 v 2)))))
(.f64 1/4 (+.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) -5/2))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 2) -5/8)))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (.f64 1/4 (.f64 (pow.f64 v 4) (+.f64 (.f64 -9/8 (sqrt.f64 2)) (.f64 3/2 (sqrt.f64 2))))) (.f64 1/4 (.f64 (pow.f64 v 2) (+.f64 (.f64 -1 (sqrt.f64 2)) (*.f64 -3/2 (sqrt.f64 2)))))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (.f64 1/4 (.f64 (pow.f64 v 2) (+.f64 (.f64 (sqrt.f64 2) -1) (.f64 (sqrt.f64 2) -3/2)))) (.f64 1/4 (.f64 (pow.f64 v 4) (+.f64 (.f64 (sqrt.f64 2) -9/8) (*.f64 (sqrt.f64 2) 3/2))))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 1/4 (+.f64 (.f64 (pow.f64 v 4) (.f64 (sqrt.f64 2) 3/8)) (.f64 (pow.f64 v 2) (.f64 (sqrt.f64 2) -5/2)))))
(+.f64 (.f64 (pow.f64 v 2) (.f64 (sqrt.f64 2) -5/8)) (.f64 1/4 (+.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2) (*.f64 3/8 (pow.f64 v 4))))))
(+.f64 (.f64 1/4 (+.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 2) -5/2)))) (.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 2) 3/32)))
(+.f64 (.f64 (pow.f64 v 2) (.f64 (sqrt.f64 2) -5/8)) (+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 2) 3/32))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (.f64 1/4 (.f64 (pow.f64 v 4) (+.f64 (.f64 -9/8 (sqrt.f64 2)) (.f64 3/2 (sqrt.f64 2))))) (+.f64 (.f64 1/4 (.f64 (pow.f64 v 2) (+.f64 (.f64 -1 (sqrt.f64 2)) (.f64 -3/2 (sqrt.f64 2))))) (.f64 1/4 (.f64 (pow.f64 v 6) (+.f64 (.f64 9/8 (sqrt.f64 2)) (*.f64 -27/16 (sqrt.f64 2))))))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (.f64 1/4 (.f64 (pow.f64 v 2) (+.f64 (.f64 (sqrt.f64 2) -1) (.f64 (sqrt.f64 2) -3/2)))) (+.f64 (.f64 1/4 (.f64 (pow.f64 v 6) (+.f64 (.f64 (sqrt.f64 2) 9/8) (.f64 (sqrt.f64 2) -27/16)))) (.f64 1/4 (.f64 (pow.f64 v 4) (+.f64 (.f64 (sqrt.f64 2) -9/8) (*.f64 (sqrt.f64 2) 3/2)))))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (.f64 1/4 (.f64 (pow.f64 v 2) (.f64 (sqrt.f64 2) -5/2))) (.f64 1/4 (+.f64 (.f64 (pow.f64 v 4) (.f64 (sqrt.f64 2) 3/8)) (.f64 (pow.f64 v 6) (*.f64 (sqrt.f64 2) -9/16))))))
(+.f64 (.f64 (pow.f64 v 4) (.f64 (sqrt.f64 2) 3/32)) (+.f64 (.f64 (pow.f64 v 2) (.f64 (sqrt.f64 2) -5/8)) (+.f64 (.f64 (pow.f64 v 6) (.f64 (sqrt.f64 2) -9/64)) (*.f64 1/4 (sqrt.f64 2)))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (.f64 (pow.f64 v 2) (.f64 (sqrt.f64 2) -5/8)) (+.f64 (.f64 (pow.f64 v 4) (.f64 (sqrt.f64 2) 3/32)) (.f64 (pow.f64 v 6) (*.f64 (sqrt.f64 2) -9/64)))))
(+.f64 (.f64 (pow.f64 v 2) (.f64 (sqrt.f64 2) -5/8)) (+.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (.f64 (pow.f64 v 4) (.f64 (sqrt.f64 2) 3/32)) (.f64 (pow.f64 v 6) (*.f64 (sqrt.f64 2) -9/64)))))
(.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))
(.f64 -1/4 (.f64 (pow.f64 v 3) (sqrt.f64 -6)))
(.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -6) -1/4))
(.f64 (sqrt.f64 -6) (.f64 -1/4 (pow.f64 v 3)))
(.f64 (sqrt.f64 -6) (.f64 (pow.f64 v 3) -1/4))
(+.f64 (.f64 1/4 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (.f64 1/4 (.f64 v (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6)))))
(+.f64 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -6) -1/4)) (.f64 1/4 (.f64 v (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6)))))
(+.f64 (.f64 (sqrt.f64 -6) (.f64 -1/4 (pow.f64 v 3))) (.f64 v (.f64 1/4 (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6)))))
(+.f64 (.f64 (sqrt.f64 -6) (.f64 (pow.f64 v 3) -1/4)) (.f64 (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6)) (*.f64 1/4 v)))
(+.f64 (.f64 1/4 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (+.f64 (.f64 1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (.f64 -1/4 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -3))))))
(+.f64 (.f64 1/4 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6)))) (+.f64 (.f64 -1/4 (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (.f64 1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v))))
(+.f64 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -6) -1/4)) (+.f64 (.f64 1/4 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6)))) (.f64 1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v))))
(+.f64 (.f64 (sqrt.f64 -6) (.f64 -1/4 (pow.f64 v 3))) (.f64 1/4 (+.f64 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6))) (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v))))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (.f64 1/4 (+.f64 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6))) (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v))))
(+.f64 (.f64 (sqrt.f64 -6) (.f64 (pow.f64 v 3) -1/4)) (.f64 1/4 (+.f64 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6))) (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v))))
(+.f64 (.f64 1/4 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (+.f64 (.f64 1/4 (/.f64 (+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 -1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)))) (pow.f64 v 3))) (+.f64 (.f64 1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))))))
(+.f64 (.f64 1/4 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6)))) (+.f64 (.f64 1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v)) (+.f64 (.f64 -1/4 (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (.f64 1/4 (/.f64 (+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (*.f64 -1/16 (/.f64 (sqrt.f64 2) (sqrt.f64 -243)))) (pow.f64 v 3))))))
(+.f64 (.f64 1/4 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6)))) (+.f64 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -6) -1/4)) (+.f64 (.f64 1/4 (/.f64 (+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (.f64 -1/16 (/.f64 (sqrt.f64 2) (sqrt.f64 -243)))) (pow.f64 v 3))) (.f64 1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v)))))
(+.f64 (.f64 (sqrt.f64 -6) (.f64 -1/4 (pow.f64 v 3))) (+.f64 (.f64 1/4 (+.f64 (/.f64 (+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (.f64 -1/16 (/.f64 (sqrt.f64 2) (sqrt.f64 -243)))) (pow.f64 v 3)) (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v))) (.f64 v (.f64 1/4 (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6))))))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (.f64 1/4 (+.f64 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6))) (+.f64 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v) (/.f64 (+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (*.f64 -1/16 (/.f64 (sqrt.f64 2) (sqrt.f64 -243)))) (pow.f64 v 3))))))
(+.f64 (.f64 (sqrt.f64 -6) (.f64 (pow.f64 v 3) -1/4)) (.f64 1/4 (+.f64 (/.f64 (+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (.f64 -1/16 (/.f64 (sqrt.f64 2) (sqrt.f64 -243)))) (pow.f64 v 3)) (+.f64 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6))) (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v)))))
(.f64 1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))
(.f64 1/4 (.f64 (pow.f64 v 3) (sqrt.f64 -6)))
(.f64 (sqrt.f64 -6) (.f64 1/4 (pow.f64 v 3)))
(+.f64 (.f64 -1/4 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (.f64 1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))))
(+.f64 (.f64 1/4 (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (.f64 v (.f64 (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6)) -1/4)))
(+.f64 (.f64 1/4 (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (.f64 v (.f64 -1/4 (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6)))))
(+.f64 (.f64 1/4 (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (.f64 -1/4 (.f64 v (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6)))))
(+.f64 (.f64 (sqrt.f64 -6) (.f64 1/4 (pow.f64 v 3))) (.f64 (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6)) (*.f64 v -1/4)))
(+.f64 (.f64 -1/4 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (+.f64 (.f64 -1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (.f64 1/4 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -3))))))
(+.f64 (.f64 v (.f64 (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6)) -1/4)) (+.f64 (.f64 1/4 (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (.f64 -1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v))))
(+.f64 (.f64 1/4 (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (+.f64 (.f64 -1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v)) (.f64 v (.f64 -1/4 (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6))))))
(+.f64 (.f64 1/4 (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (.f64 -1/4 (+.f64 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6))) (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v))))
(+.f64 (.f64 (sqrt.f64 -6) (.f64 1/4 (pow.f64 v 3))) (.f64 -1/4 (+.f64 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6))) (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v))))
(+.f64 (.f64 -1/4 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (+.f64 (.f64 -1/4 (/.f64 (+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 -1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)))) (pow.f64 v 3))) (+.f64 (.f64 -1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (.f64 1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))))))
(+.f64 (.f64 v (.f64 (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6)) -1/4)) (+.f64 (.f64 -1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v)) (+.f64 (.f64 1/4 (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (.f64 -1/4 (/.f64 (+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (*.f64 -1/16 (/.f64 (sqrt.f64 2) (sqrt.f64 -243)))) (pow.f64 v 3))))))
(+.f64 (.f64 -1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v)) (+.f64 (+.f64 (.f64 1/4 (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (.f64 v (.f64 -1/4 (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6))))) (.f64 -1/4 (/.f64 (+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (*.f64 -1/16 (/.f64 (sqrt.f64 2) (sqrt.f64 -243)))) (pow.f64 v 3)))))
(+.f64 (+.f64 (.f64 1/4 (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (.f64 -1/4 (/.f64 (+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (.f64 -1/16 (/.f64 (sqrt.f64 2) (sqrt.f64 -243)))) (pow.f64 v 3)))) (.f64 -1/4 (+.f64 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6))) (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v))))
(+.f64 (.f64 1/4 (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (.f64 -1/4 (+.f64 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6))) (+.f64 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v) (/.f64 (+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (*.f64 -1/16 (/.f64 (sqrt.f64 2) (sqrt.f64 -243)))) (pow.f64 v 3))))))
(+.f64 (.f64 (sqrt.f64 -6) (.f64 1/4 (pow.f64 v 3))) (.f64 -1/4 (+.f64 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (sqrt.f64 -6))) (+.f64 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v) (/.f64 (+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (*.f64 -1/16 (/.f64 (sqrt.f64 2) (sqrt.f64 -243)))) (pow.f64 v 3))))))
(-.f64 1 (-.f64 1 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 v (*.f64 v 3)))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
(-.f64 2 (-.f64 2 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 v (*.f64 v 3)))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
(-.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v))))) 0)
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 v (*.f64 v 3)))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
(-.f64 (+.f64 1 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))) 1)
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 v (*.f64 v 3)))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
(-.f64 -1 (-.f64 -1 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 v (*.f64 v 3)))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
(-.f64 0 (neg.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 v (*.f64 v 3)))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
(-.f64 (+.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v))))) -1) -1)
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 v (*.f64 v 3)))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
(-.f64 (+.f64 2 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))) 2)
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 v (*.f64 v 3)))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
(-.f64 (-.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v))))) 2) -2)
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 v (*.f64 v 3)))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
(-.f64 -2 (-.f64 -2 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 v (*.f64 v 3)))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
(-.f64 (-.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v))))) 3) -3)
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 v (*.f64 v 3)))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
(-.f64 (-.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v))))) -3) 3)
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 v (*.f64 v 3)))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
(-.f64 (-.f64 0 (-.f64 -2 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v))))))) 2)
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 v (*.f64 v 3)))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
(.f64 1 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 v (*.f64 v 3)))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 v (*.f64 v 3)))))
(.f64 (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))) (/.f64 (sqrt.f64 2) 4))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 v (*.f64 v 3)))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) 1)
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 v (*.f64 v 3)))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (/.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 v (*.f64 v 3)))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
(.f64 (neg.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))))) -1)
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 v (*.f64 v 3)))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (/.f64 (sqrt.f64 2) 4)) (.f64 (/.f64 1 (/.f64 (sqrt.f64 2) 4)) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v))))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 v (*.f64 v 3)))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (.f64 (+.f64 (.f64 3 (.f64 v v)) -1) (+.f64 (.f64 3 (.f64 v v)) -1))))) (/.f64 1 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 v (*.f64 v 3)))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (.f64 (+.f64 (.f64 3 (.f64 v v)) -1) (+.f64 (.f64 3 (.f64 v v)) -1))))) (.f64 (/.f64 1 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))))) 1))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 v (*.f64 v 3)))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
(.f64 (sqrt.f64 (.f64 (+.f64 (.f64 3 (.f64 v v)) -1) (+.f64 (.f64 3 (.f64 v v)) -1))) (.f64 (/.f64 1 (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v))))) (/.f64 (sqrt.f64 2) 4)))
(.f64 (sqrt.f64 (.f64 (+.f64 -1 (.f64 v (.f64 v 3))) (+.f64 -1 (.f64 v (.f64 v 3))))) (.f64 (/.f64 (sqrt.f64 2) 4) (/.f64 1 (sqrt.f64 (-.f64 1 (.f64 v (*.f64 v 3)))))))
(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (.f64 (-.f64 1 (.f64 v (.f64 v 3))) (-.f64 1 (.f64 v (.f64 v 3))))) (/.f64 1 (sqrt.f64 (-.f64 1 (.f64 v (*.f64 v 3)))))))
(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (.f64 (-.f64 1 (.f64 v (.f64 v 3))) (-.f64 1 (.f64 v (.f64 v 3)))))) (/.f64 1 (sqrt.f64 (-.f64 1 (.f64 v (*.f64 v 3))))))
(.f64 (sqrt.f64 (.f64 (-.f64 1 (.f64 3 (.f64 v v))) (-.f64 1 (.f64 3 (.f64 v v))))) (.f64 (/.f64 (sqrt.f64 2) 4) (/.f64 1 (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))))
(.f64 (sqrt.f64 (-.f64 1 (.f64 v (.f64 v 3)))) (/.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 v (.f64 v 3))))) (sqrt.f64 (-.f64 1 (.f64 v (.f64 v 3))))))
(.f64 (/.f64 1 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))))) (.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (.f64 (+.f64 (.f64 3 (.f64 v v)) -1) (+.f64 (.f64 3 (*.f64 v v)) -1))))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 v (*.f64 v 3)))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
(.f64 (.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (.f64 (+.f64 (.f64 3 (.f64 v v)) -1) (+.f64 (.f64 3 (.f64 v v)) -1))))) (.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (.f64 (+.f64 (.f64 3 (.f64 v v)) -1) (+.f64 (.f64 3 (.f64 v v)) -1)))))) (/.f64 (/.f64 1 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))))) (.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (.f64 (+.f64 (.f64 3 (.f64 v v)) -1) (+.f64 (.f64 3 (.f64 v v)) -1)))))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 v (*.f64 v 3)))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
(/.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v))))) 1)
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 v (*.f64 v 3)))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
(/.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (/.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 v (*.f64 v 3)))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
(/.f64 (neg.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))) -1)
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 v (*.f64 v 3)))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
(pow.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v))))) 1)
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 v (*.f64 v 3)))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
(neg.f64 (neg.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 v (*.f64 v 3)))))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
(+.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (*.f64 v v)))) 0)
(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (-.f64 1 (.f64 v (.f64 v 3)))) (-.f64 1 (*.f64 v v))))
(.f64 (sqrt.f64 (-.f64 1 (.f64 v (.f64 v 3)))) (.f64 (/.f64 (sqrt.f64 2) 4) (-.f64 1 (*.f64 v v))))
(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (*.f64 v v))))
(+.f64 0 (.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (*.f64 v v)))))
(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (-.f64 1 (.f64 v (.f64 v 3)))) (-.f64 1 (*.f64 v v))))
(.f64 (sqrt.f64 (-.f64 1 (.f64 v (.f64 v 3)))) (.f64 (/.f64 (sqrt.f64 2) 4) (-.f64 1 (*.f64 v v))))
(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (*.f64 v v))))
(-.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (*.f64 v v)))) 0)
(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (-.f64 1 (.f64 v (.f64 v 3)))) (-.f64 1 (*.f64 v v))))
(.f64 (sqrt.f64 (-.f64 1 (.f64 v (.f64 v 3)))) (.f64 (/.f64 (sqrt.f64 2) 4) (-.f64 1 (*.f64 v v))))
(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (*.f64 v v))))
(-.f64 0 (neg.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (*.f64 v v))))))
(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (-.f64 1 (.f64 v (.f64 v 3)))) (-.f64 1 (*.f64 v v))))
(.f64 (sqrt.f64 (-.f64 1 (.f64 v (.f64 v 3)))) (.f64 (/.f64 (sqrt.f64 2) 4) (-.f64 1 (*.f64 v v))))
(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (*.f64 v v))))
(-.f64 (-.f64 0 (-.f64 -1 (.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (*.f64 v v)))))) 1)
(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (-.f64 1 (.f64 v (.f64 v 3)))) (-.f64 1 (*.f64 v v))))
(.f64 (sqrt.f64 (-.f64 1 (.f64 v (.f64 v 3)))) (.f64 (/.f64 (sqrt.f64 2) 4) (-.f64 1 (*.f64 v v))))
(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (*.f64 v v))))
(/.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (*.f64 v v)))) 1)
(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (-.f64 1 (.f64 v (.f64 v 3)))) (-.f64 1 (*.f64 v v))))
(.f64 (sqrt.f64 (-.f64 1 (.f64 v (.f64 v 3)))) (.f64 (/.f64 (sqrt.f64 2) 4) (-.f64 1 (*.f64 v v))))
(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (*.f64 v v))))
(/.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (.f64 v v)))) (/.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (.f64 v v)))) (.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (*.f64 v v))))))
(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (-.f64 1 (.f64 v (.f64 v 3)))) (-.f64 1 (*.f64 v v))))
(.f64 (sqrt.f64 (-.f64 1 (.f64 v (.f64 v 3)))) (.f64 (/.f64 (sqrt.f64 2) 4) (-.f64 1 (*.f64 v v))))
(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (*.f64 v v))))
(pow.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (*.f64 v v)))) 1)
(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (-.f64 1 (.f64 v (.f64 v 3)))) (-.f64 1 (*.f64 v v))))
(.f64 (sqrt.f64 (-.f64 1 (.f64 v (.f64 v 3)))) (.f64 (/.f64 (sqrt.f64 2) 4) (-.f64 1 (*.f64 v v))))
(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (*.f64 v v))))
(neg.f64 (neg.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (*.f64 v v))))))
(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (-.f64 1 (.f64 v (.f64 v 3)))) (-.f64 1 (*.f64 v v))))
(.f64 (sqrt.f64 (-.f64 1 (.f64 v (.f64 v 3)))) (.f64 (/.f64 (sqrt.f64 2) 4) (-.f64 1 (*.f64 v v))))
(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (*.f64 v v))))

eval360.0ms (3.6%)

Compiler: Compiled 6489 to 5331 computations (17.8% saved)

prune156.0ms (1.5%)

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	223	2	225
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	223	8	231

Error

Counts

231 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.5b	(-.f64 (-.f64 0 (-.f64 -1 (.f64 (.f64 1/4 (sqrt.f64 2)) (-.f64 1 (*.f64 v v))))) 1)
✓	0.0b	(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (-.f64 1 (.f64 v (.f64 3 v)))) (-.f64 1 (*.f64 v v))))
✓	1.0b	(.f64 (+.f64 (+.f64 1 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))))) -1) (-.f64 1 (*.f64 v v)))
✓	0.0b	(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 v (.f64 v 3))))) (-.f64 1 (*.f64 v v)))
▶	1.5b	(.f64 (.f64 (-.f64 1 (.f64 v v)) (.f64 2 (-.f64 1 (.f64 v v)))) (/.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v)))))
✓	0.3b	(.f64 (.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 (pow.f64 v 2) -3/8))) (-.f64 1 (.f64 v v)))
✓	0.5b	(.f64 (.f64 1/4 (sqrt.f64 2)) (-.f64 1 (*.f64 v v)))
✓	0.5b	(*.f64 1/4 (sqrt.f64 2))

Compiler

Compiled 139 to 111 computations (20.1% saved)

localize27.0ms (0.3%)

Local error

Found 3 expressions with local error:

New

Error

Program

✓

0.0b

(*.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v)))

✓

0.0b

(*.f64 (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 2 (-.f64 1 (*.f64 v v)))) (/.f64 1/4 (*.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v)))))

✓

1.0b

(/.f64 1/4 (*.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v))))

Compiler

Compiled 77 to 47 computations (39% saved)

series4.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	v	@	0	(.f64 (.f64 (-.f64 1 (.f64 v v)) (.f64 2 (-.f64 1 (.f64 v v)))) (/.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v)))))
1.0ms	v	@	inf	(.f64 (.f64 (-.f64 1 (.f64 v v)) (.f64 2 (-.f64 1 (.f64 v v)))) (/.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v)))))
0.0ms	v	@	0	(/.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v))))
0.0ms	v	@	inf	(/.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v))))
0.0ms	v	@	-inf	(/.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v))))

rewrite166.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1180×	`rational.json-simplify-47`
1128×	`rational.json-simplify-58`
690×	`rational.json-simplify-55`
678×	`rational.json-simplify-43`
614×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	123
1	126	123
2	377	123
3	1433	123
4	5952	123

Stop Event

1×	node limit

Counts

3 → 36

Calls

Call 1

Inputs

(/.f64 1/4 (*.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v))))

(*.f64 (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 2 (-.f64 1 (*.f64 v v)))) (/.f64 1/4 (*.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v)))))

(*.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v)))

Outputs

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

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

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

simplify452.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

1088×	`rational.json-simplify-47`
1078×	`rational.json-simplify-2`
874×	`rational.json-simplify-1`
806×	`rational.json-simplify-41`
718×	`rational.json-simplify-54`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	127	3138
1	266	3050
2	536	3026
3	1679	3008
4	5466	3008

Stop Event

1×	node limit

Counts

72 → 87

Calls

Call 1

Inputs
(/.f64 1/4 (sqrt.f64 2))
(+.f64 (.f64 1/4 (/.f64 (pow.f64 v 2) (sqrt.f64 2))) (.f64 1/4 (/.f64 1 (sqrt.f64 2))))
(+.f64 (.f64 1/4 (/.f64 (pow.f64 v 4) (sqrt.f64 2))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 v 2) (sqrt.f64 2))) (*.f64 1/4 (/.f64 1 (sqrt.f64 2)))))
(+.f64 (.f64 1/4 (/.f64 (pow.f64 v 4) (sqrt.f64 2))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 v 2) (sqrt.f64 2))) (+.f64 (.f64 1/4 (/.f64 1 (sqrt.f64 2))) (.f64 1/4 (/.f64 (pow.f64 v 6) (sqrt.f64 2))))))
(/.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))
(neg.f64 (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 2) (pow.f64 v 2)))) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 2) (pow.f64 v 4))))))
(neg.f64 (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 2) (pow.f64 v 2)))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 2) (pow.f64 v 4)))) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 2) (pow.f64 v 6)))))))
(neg.f64 (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 2) (pow.f64 v 2)))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 2) (pow.f64 v 4)))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 2) (pow.f64 v 8)))) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 2) (pow.f64 v 6))))))))
(/.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))
(neg.f64 (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 2) (pow.f64 v 2)))) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 2) (pow.f64 v 4))))))
(neg.f64 (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 2) (pow.f64 v 2)))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 2) (pow.f64 v 4)))) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 2) (pow.f64 v 6)))))))
(neg.f64 (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 2) (pow.f64 v 2)))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 2) (pow.f64 v 4)))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 2) (pow.f64 v 8)))) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 2) (pow.f64 v 6))))))))
(/.f64 1/2 (sqrt.f64 2))
(+.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 2))) (.f64 -1/2 (/.f64 (pow.f64 v 2) (sqrt.f64 2))))
(+.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 2))) (.f64 -1/2 (/.f64 (pow.f64 v 2) (sqrt.f64 2))))
(+.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 2))) (.f64 -1/2 (/.f64 (pow.f64 v 2) (sqrt.f64 2))))
(*.f64 -1/2 (/.f64 (pow.f64 v 2) (sqrt.f64 2)))
(+.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 2))) (.f64 -1/2 (/.f64 (pow.f64 v 2) (sqrt.f64 2))))
(+.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 2))) (.f64 -1/2 (/.f64 (pow.f64 v 2) (sqrt.f64 2))))
(+.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 2))) (.f64 -1/2 (/.f64 (pow.f64 v 2) (sqrt.f64 2))))
(*.f64 -1/2 (/.f64 (pow.f64 v 2) (sqrt.f64 2)))
(+.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 2))) (.f64 -1/2 (/.f64 (pow.f64 v 2) (sqrt.f64 2))))
(+.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 2))) (.f64 -1/2 (/.f64 (pow.f64 v 2) (sqrt.f64 2))))
(+.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 2))) (.f64 -1/2 (/.f64 (pow.f64 v 2) (sqrt.f64 2))))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (.f64 -1 (.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (sqrt.f64 2) (.f64 -1 (.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (sqrt.f64 2) (.f64 -1 (.f64 (sqrt.f64 2) (pow.f64 v 2))))
(.f64 -1 (.f64 (sqrt.f64 2) (pow.f64 v 2)))
(+.f64 (sqrt.f64 2) (.f64 -1 (.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (sqrt.f64 2) (.f64 -1 (.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (sqrt.f64 2) (.f64 -1 (.f64 (sqrt.f64 2) (pow.f64 v 2))))
(.f64 -1 (.f64 (sqrt.f64 2) (pow.f64 v 2)))
(+.f64 (sqrt.f64 2) (.f64 -1 (.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (sqrt.f64 2) (.f64 -1 (.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (sqrt.f64 2) (.f64 -1 (.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (/.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))) 0)
(+.f64 0 (/.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))))
(-.f64 (/.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))) 0)
(-.f64 0 (neg.f64 (/.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v))))))
(-.f64 (-.f64 0 (-.f64 -1 (/.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))))) 1)
(.f64 1 (/.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v)))))
(.f64 (/.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v)))) 1)
(.f64 (/.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))) (/.f64 (/.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))) (/.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v))))))
(.f64 (.f64 (/.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))) (/.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v))))) (/.f64 1 (/.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v))))))
(.f64 (.f64 (/.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))) (/.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v))))) (.f64 (/.f64 1 (/.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v))))) 1))
(.f64 (.f64 (/.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))) (/.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v))))) (/.f64 (/.f64 (/.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))) (/.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v))))) (/.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v))))))
(.f64 (/.f64 1 (/.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v))))) (.f64 (/.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))) (/.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v))))))
(.f64 (.f64 (/.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))) (.f64 (/.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))) (.f64 (/.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))) (/.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v))))))) (/.f64 (/.f64 1 (/.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v))))) (.f64 (/.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))) (/.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v)))))))
(.f64 (.f64 (/.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))) (.f64 (/.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))) (.f64 (/.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))) (/.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v))))))) (/.f64 (.f64 (/.f64 1 (/.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v))))) 1) (.f64 (/.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))) (/.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))))))
(.f64 (.f64 (.f64 (/.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))) (.f64 (/.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))) (.f64 (/.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))) (/.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v))))))) (.f64 (/.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))) (.f64 (/.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))) (.f64 (/.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))) (/.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))))))) (/.f64 (/.f64 (/.f64 1 (/.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v))))) (.f64 (/.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))) (/.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))))) (.f64 (/.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))) (.f64 (/.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))) (.f64 (/.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))) (/.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))))))))
(pow.f64 (/.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))) 1)
(neg.f64 (neg.f64 (/.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v))))))
(+.f64 (.f64 2 (.f64 (-.f64 1 (.f64 v v)) (.f64 (-.f64 1 (.f64 v v)) (/.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v))))))) 0)
(+.f64 0 (.f64 2 (.f64 (-.f64 1 (.f64 v v)) (.f64 (-.f64 1 (.f64 v v)) (/.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v))))))))
(+.f64 (.f64 (-.f64 1 (.f64 v v)) (.f64 (-.f64 1 (.f64 v v)) (/.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))))) (.f64 (-.f64 1 (.f64 v v)) (.f64 (-.f64 1 (.f64 v v)) (/.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))))))
(-.f64 (.f64 2 (.f64 (-.f64 1 (.f64 v v)) (.f64 (-.f64 1 (.f64 v v)) (/.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v))))))) 0)
(-.f64 0 (neg.f64 (.f64 2 (.f64 (-.f64 1 (.f64 v v)) (.f64 (-.f64 1 (.f64 v v)) (/.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v)))))))))
(-.f64 (-.f64 0 (-.f64 -1 (.f64 2 (.f64 (-.f64 1 (.f64 v v)) (.f64 (-.f64 1 (.f64 v v)) (/.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v))))))))) 1)
(/.f64 (.f64 2 (.f64 (-.f64 1 (.f64 v v)) (.f64 (-.f64 1 (.f64 v v)) (/.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v))))))) 1)
(/.f64 (.f64 2 (.f64 (-.f64 1 (.f64 v v)) (.f64 (-.f64 1 (.f64 v v)) (/.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v))))))) (/.f64 (.f64 (-.f64 1 (.f64 v v)) (.f64 (-.f64 1 (.f64 v v)) (/.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))))) (.f64 (-.f64 1 (.f64 v v)) (.f64 (-.f64 1 (.f64 v v)) (/.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v))))))))
(pow.f64 (.f64 2 (.f64 (-.f64 1 (.f64 v v)) (.f64 (-.f64 1 (.f64 v v)) (/.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v))))))) 1)
(neg.f64 (neg.f64 (.f64 2 (.f64 (-.f64 1 (.f64 v v)) (.f64 (-.f64 1 (.f64 v v)) (/.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v)))))))))
(+.f64 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v))) 0)
(+.f64 0 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v))))
(-.f64 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v))) 0)
(-.f64 0 (neg.f64 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))))
(-.f64 (-.f64 0 (-.f64 -1 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v))))) 1)
(/.f64 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v))) 1)
(/.f64 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v))) (/.f64 (-.f64 1 (.f64 v v)) (-.f64 1 (.f64 v v))))
(pow.f64 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v))) 1)
(neg.f64 (neg.f64 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))))

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

localize28.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(.f64 (.f64 1/4 (sqrt.f64 2)) (-.f64 1 (*.f64 v v)))
✓	1.0b	(-.f64 (-.f64 0 (-.f64 -1 (.f64 (.f64 1/4 (sqrt.f64 2)) (-.f64 1 (*.f64 v v))))) 1)

Compiler

Compiled 73 to 55 computations (24.7% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

(-.f64 (-.f64 0 (-.f64 -1 (*.f64 (*.f64 1/4 (sqrt.f64 2)) (-.f64 1 (*.f64 v v))))) 1)

0.0ms

inf

(-.f64 (-.f64 0 (-.f64 -1 (*.f64 (*.f64 1/4 (sqrt.f64 2)) (-.f64 1 (*.f64 v v))))) 1)

0.0ms

-inf

(-.f64 (-.f64 0 (-.f64 -1 (*.f64 (*.f64 1/4 (sqrt.f64 2)) (-.f64 1 (*.f64 v v))))) 1)

rewrite141.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

872×	`rational.json-simplify-47`
780×	`rational.json-simplify-49`
662×	`rational.json-simplify-50`
624×	`exponential.json-3`
624×	`rational.json-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	41
1	153	29
2	431	29
3	1420	29
4	5607	29

Stop Event

1×	node limit

Counts

1 → 52

Calls

Call 1

Inputs
(-.f64 (-.f64 0 (-.f64 -1 (.f64 (.f64 1/4 (sqrt.f64 2)) (-.f64 1 (*.f64 v v))))) 1)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/4 (*.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (*.f64 1/4 (*.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 -1 (*.f64 1/4 (*.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/4 (*.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (*.f64 1/4 (*.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (*.f64 1/4 (*.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (*.f64 1/4 (*.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (*.f64 1/4 (-.f64 1 (*.f64 v v))) (/.f64 1 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (*.f64 1/4 (-.f64 1 (*.f64 v v))) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 2) (*.f64 1/4 (-.f64 1 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/4 (sqrt.f64 2)) (-.f64 1 (*.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/4 (sqrt.f64 2)) (-.f64 -1 (-.f64 (*.f64 v v) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/4 (*.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (*.f64 v v)) (*.f64 1/4 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (*.f64 v v)) (-.f64 -1 (-.f64 -1 (*.f64 1/4 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/4 (*.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/4 (*.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v)))) (/.f64 (*.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v))) (*.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/4 (*.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v)))) (/.f64 (*.f64 -1 (*.f64 1/4 (*.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v))))) (neg.f64 (*.f64 1/4 (*.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v))) (*.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v)))) (*.f64 1/4 (*.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 1/4 (*.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/4 (-.f64 1 (*.f64 v v))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (*.f64 v v)) (neg.f64 (*.f64 1/4 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 1/4 (sqrt.f64 2))) (+.f64 -1 (*.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/16 (*.f64 (-.f64 1 (*.f64 v v)) (/.f64 (sqrt.f64 2) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/16 (/.f64 (*.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/16 (*.f64 (*.f64 (-.f64 1 (*.f64 v v)) (/.f64 (sqrt.f64 2) 1/4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/16 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v))) 1/4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 2) 1/4) (*.f64 1/16 (-.f64 1 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 2) 1/4) (*.f64 (-.f64 1 (*.f64 v v)) 1/16))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (-.f64 1 (*.f64 v v)) 1/8)) (/.f64 1 (*.f64 1/4 (*.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (-.f64 1 (*.f64 v v)) 1/8)) (*.f64 (/.f64 1 (*.f64 1/4 (*.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (-.f64 1 (*.f64 v v)) 1/8)) (/.f64 -1 (neg.f64 (*.f64 1/4 (*.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (-.f64 1 (*.f64 v v)) 1/8)) (/.f64 (/.f64 (*.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v))) (*.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v)))) (*.f64 1/4 (*.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 (-.f64 1 (*.f64 v v)) (/.f64 1 (*.f64 1/4 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (*.f64 v v)) (-.f64 1 (*.f64 v v))) (*.f64 (*.f64 1/4 (sqrt.f64 2)) (/.f64 1 (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (*.f64 v v)) (/.f64 (sqrt.f64 2) 1/4)) 1/16)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 (*.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v))) (*.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v))))) (neg.f64 (*.f64 1/4 (*.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v))) 1/4) 1/16)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 1/4 (*.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v))))) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (-.f64 1 (*.f64 v v)) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (-.f64 1 (*.f64 v v)) 1/8)) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (-.f64 1 (*.f64 v v)) 1/8))) (/.f64 (/.f64 1 (*.f64 1/4 (*.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v))))) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (-.f64 1 (*.f64 v v)) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (-.f64 1 (*.f64 v v)) 1/8)) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (-.f64 1 (*.f64 v v)) 1/8))) (/.f64 (*.f64 (/.f64 1 (*.f64 1/4 (*.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v))))) 1) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (-.f64 1 (*.f64 v v)) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (-.f64 1 (*.f64 v v)) 1/8)) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (-.f64 1 (*.f64 v v)) 1/8))) (/.f64 (/.f64 -1 (neg.f64 (*.f64 1/4 (*.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v)))))) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (-.f64 1 (*.f64 v v)) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/256 (/.f64 (*.f64 (-.f64 1 (*.f64 v v)) (/.f64 (sqrt.f64 2) 1/4)) 1/16))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/256 (/.f64 (/.f64 (*.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v))) 1/4) 1/16))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (-.f64 1 (*.f64 v v)) 1/8)) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (-.f64 1 (*.f64 v v)) 1/8))) (*.f64 (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (-.f64 1 (*.f64 v v)) 1/8)) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (-.f64 1 (*.f64 v v)) 1/8)))) (/.f64 (/.f64 (/.f64 1 (*.f64 1/4 (*.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v))))) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (-.f64 1 (*.f64 v v)) 1/8))) (*.f64 (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (-.f64 1 (*.f64 v v)) 1/8)) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (-.f64 1 (*.f64 v v)) 1/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/4 (*.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/4 (*.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v)))) (/.f64 (*.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v))) (*.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 1/4 (*.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/4 (*.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.f64 1/4 (*.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v))))))))))

simplify241.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1258×	`rational.json-simplify-2`
992×	`rational.json-simplify-47`
866×	`rational.json-simplify-54`
780×	`rational.json-simplify-50`
774×	`rational.json-simplify-43`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	117	2490
1	223	2392
2	494	2392
3	1442	2392
4	2963	2372
5	5381	2372
6	7202	2372

Stop Event

1×	node limit

Counts

64 → 76

Calls

Call 1

Inputs
(*.f64 1/4 (sqrt.f64 2))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 v 2)))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 v 2)))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 0 (.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v)))))
(+.f64 -1 (+.f64 1 (.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v))))))
(+.f64 1 (+.f64 -1 (.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v))))))
(+.f64 (.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v)))) 0)
(+.f64 (+.f64 1 (.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v))))) -1)
(+.f64 (+.f64 -1 (.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v))))) 1)
(.f64 -1 (neg.f64 (.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v))))))
(.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v))))
(.f64 2 (.f64 (.f64 1/4 (-.f64 1 (.f64 v v))) (/.f64 1 (sqrt.f64 2))))
(.f64 2 (/.f64 (.f64 1/4 (-.f64 1 (*.f64 v v))) (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 1/4 (-.f64 1 (*.f64 v v))))
(.f64 (.f64 1/4 (sqrt.f64 2)) (-.f64 1 (*.f64 v v)))
(.f64 (.f64 1/4 (sqrt.f64 2)) (-.f64 -1 (-.f64 (*.f64 v v) 2)))
(.f64 1 (.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))))
(.f64 (-.f64 1 (.f64 v v)) (*.f64 1/4 (sqrt.f64 2)))
(.f64 (-.f64 1 (.f64 v v)) (-.f64 -1 (-.f64 -1 (*.f64 1/4 (sqrt.f64 2)))))
(.f64 (.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))) 1)
(.f64 (.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))) (/.f64 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v))) (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))))
(.f64 (.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))) (/.f64 (.f64 -1 (.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v))))) (neg.f64 (.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v)))))))
(.f64 (/.f64 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v))) (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))) (.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))))
(.f64 (neg.f64 (.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v))))) -1)
(.f64 (.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v))) 1/4)
(.f64 (.f64 1/4 (-.f64 1 (*.f64 v v))) (sqrt.f64 2))
(.f64 (+.f64 -1 (.f64 v v)) (neg.f64 (*.f64 1/4 (sqrt.f64 2))))
(.f64 (neg.f64 (.f64 1/4 (sqrt.f64 2))) (+.f64 -1 (*.f64 v v)))
(.f64 1/16 (.f64 (-.f64 1 (*.f64 v v)) (/.f64 (sqrt.f64 2) 1/4)))
(.f64 1/16 (/.f64 (.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v))) 1/4))
(.f64 1/16 (.f64 (.f64 (-.f64 1 (.f64 v v)) (/.f64 (sqrt.f64 2) 1/4)) 1))
(.f64 1/16 (.f64 (/.f64 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v))) 1/4) 1))
(.f64 (/.f64 (sqrt.f64 2) 1/4) (.f64 1/16 (-.f64 1 (*.f64 v v))))
(.f64 (/.f64 (sqrt.f64 2) 1/4) (.f64 (-.f64 1 (*.f64 v v)) 1/16))
(.f64 (.f64 (-.f64 1 (.f64 v v)) (.f64 (-.f64 1 (.f64 v v)) 1/8)) (/.f64 1 (.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v))))))
(.f64 (.f64 (-.f64 1 (.f64 v v)) (.f64 (-.f64 1 (.f64 v v)) 1/8)) (.f64 (/.f64 1 (.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v))))) 1))
(.f64 (.f64 (-.f64 1 (.f64 v v)) (.f64 (-.f64 1 (.f64 v v)) 1/8)) (/.f64 -1 (neg.f64 (.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))))))
(.f64 (.f64 (-.f64 1 (.f64 v v)) (.f64 (-.f64 1 (.f64 v v)) 1/8)) (/.f64 (/.f64 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v))) (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))) (.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v))))))
(.f64 1/8 (.f64 (-.f64 1 (.f64 v v)) (/.f64 1 (.f64 1/4 (sqrt.f64 2)))))
(.f64 (.f64 (-.f64 1 (.f64 v v)) (-.f64 1 (.f64 v v))) (.f64 (.f64 1/4 (sqrt.f64 2)) (/.f64 1 (-.f64 1 (*.f64 v v)))))
(.f64 (.f64 (-.f64 1 (*.f64 v v)) (/.f64 (sqrt.f64 2) 1/4)) 1/16)
(.f64 (neg.f64 (/.f64 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v))) (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v))))) (neg.f64 (.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v))))))
(.f64 (/.f64 (.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v))) 1/4) 1/16)
(.f64 (/.f64 1 (.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v))))) (.f64 (-.f64 1 (.f64 v v)) (.f64 (-.f64 1 (.f64 v v)) 1/8)))
(.f64 (.f64 (.f64 (-.f64 1 (.f64 v v)) (.f64 (-.f64 1 (.f64 v v)) 1/8)) (.f64 (-.f64 1 (.f64 v v)) (.f64 (-.f64 1 (.f64 v v)) 1/8))) (/.f64 (/.f64 1 (.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v))))) (.f64 (-.f64 1 (.f64 v v)) (.f64 (-.f64 1 (*.f64 v v)) 1/8))))
(.f64 (.f64 (.f64 (-.f64 1 (.f64 v v)) (.f64 (-.f64 1 (.f64 v v)) 1/8)) (.f64 (-.f64 1 (.f64 v v)) (.f64 (-.f64 1 (.f64 v v)) 1/8))) (/.f64 (.f64 (/.f64 1 (.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v))))) 1) (.f64 (-.f64 1 (.f64 v v)) (.f64 (-.f64 1 (.f64 v v)) 1/8))))
(.f64 (.f64 (.f64 (-.f64 1 (.f64 v v)) (.f64 (-.f64 1 (.f64 v v)) 1/8)) (.f64 (-.f64 1 (.f64 v v)) (.f64 (-.f64 1 (.f64 v v)) 1/8))) (/.f64 (/.f64 -1 (neg.f64 (.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))))) (.f64 (-.f64 1 (.f64 v v)) (.f64 (-.f64 1 (*.f64 v v)) 1/8))))
(.f64 1/256 (/.f64 (.f64 (-.f64 1 (*.f64 v v)) (/.f64 (sqrt.f64 2) 1/4)) 1/16))
(.f64 1/256 (/.f64 (/.f64 (.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v))) 1/4) 1/16))
(.f64 (.f64 (.f64 (.f64 (-.f64 1 (.f64 v v)) (.f64 (-.f64 1 (.f64 v v)) 1/8)) (.f64 (-.f64 1 (.f64 v v)) (.f64 (-.f64 1 (.f64 v v)) 1/8))) (.f64 (.f64 (-.f64 1 (.f64 v v)) (.f64 (-.f64 1 (.f64 v v)) 1/8)) (.f64 (-.f64 1 (.f64 v v)) (.f64 (-.f64 1 (.f64 v v)) 1/8)))) (/.f64 (/.f64 (/.f64 1 (.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v))))) (.f64 (-.f64 1 (.f64 v v)) (.f64 (-.f64 1 (.f64 v v)) 1/8))) (.f64 (.f64 (-.f64 1 (.f64 v v)) (.f64 (-.f64 1 (.f64 v v)) 1/8)) (.f64 (-.f64 1 (.f64 v v)) (.f64 (-.f64 1 (.f64 v v)) 1/8)))))
(/.f64 (.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v)))) 1)
(/.f64 (.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))) (/.f64 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v))) (.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v)))))
(/.f64 (neg.f64 (.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v))))) -1)
(pow.f64 (.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v)))) 1)
(neg.f64 (neg.f64 (.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v))))))

Outputs
(*.f64 1/4 (sqrt.f64 2))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) -1/4)))
(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 -1/4 (pow.f64 v 2))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) -1/4)))
(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 -1/4 (pow.f64 v 2))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) -1/4)))
(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 -1/4 (pow.f64 v 2))))
(.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 v 2)))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 v 2) -1/4))
(.f64 (pow.f64 v 2) (.f64 -1/4 (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 -1/4 (pow.f64 v 2)))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) -1/4)))
(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 -1/4 (pow.f64 v 2))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) -1/4)))
(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 -1/4 (pow.f64 v 2))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) -1/4)))
(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 -1/4 (pow.f64 v 2))))
(.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 v 2)))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 v 2) -1/4))
(.f64 (pow.f64 v 2) (.f64 -1/4 (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 -1/4 (pow.f64 v 2)))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) -1/4)))
(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 -1/4 (pow.f64 v 2))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) -1/4)))
(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 -1/4 (pow.f64 v 2))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) -1/4)))
(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 -1/4 (pow.f64 v 2))))
(+.f64 0 (.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v)))))
(.f64 (sqrt.f64 2) (.f64 1/4 (-.f64 1 (*.f64 v v))))
(+.f64 -1 (+.f64 1 (.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v))))))
(.f64 (sqrt.f64 2) (.f64 1/4 (-.f64 1 (*.f64 v v))))
(+.f64 1 (+.f64 -1 (.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v))))))
(.f64 (sqrt.f64 2) (.f64 1/4 (-.f64 1 (*.f64 v v))))
(+.f64 (.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v)))) 0)
(.f64 (sqrt.f64 2) (.f64 1/4 (-.f64 1 (*.f64 v v))))
(+.f64 (+.f64 1 (.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v))))) -1)
(.f64 (sqrt.f64 2) (.f64 1/4 (-.f64 1 (*.f64 v v))))
(+.f64 (+.f64 -1 (.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v))))) 1)
(.f64 (sqrt.f64 2) (.f64 1/4 (-.f64 1 (*.f64 v v))))
(.f64 -1 (neg.f64 (.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v))))))
(.f64 (sqrt.f64 2) (.f64 1/4 (-.f64 1 (*.f64 v v))))
(.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v))))
(.f64 (sqrt.f64 2) (.f64 1/4 (-.f64 1 (*.f64 v v))))
(.f64 2 (.f64 (.f64 1/4 (-.f64 1 (.f64 v v))) (/.f64 1 (sqrt.f64 2))))
(.f64 (sqrt.f64 2) (.f64 1/4 (-.f64 1 (*.f64 v v))))
(.f64 2 (/.f64 (.f64 1/4 (-.f64 1 (*.f64 v v))) (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 1/4 (-.f64 1 (*.f64 v v))))
(.f64 (sqrt.f64 2) (.f64 1/4 (-.f64 1 (*.f64 v v))))
(.f64 (.f64 1/4 (sqrt.f64 2)) (-.f64 1 (*.f64 v v)))
(.f64 (sqrt.f64 2) (.f64 1/4 (-.f64 1 (*.f64 v v))))
(.f64 (.f64 1/4 (sqrt.f64 2)) (-.f64 -1 (-.f64 (*.f64 v v) 2)))
(.f64 (sqrt.f64 2) (.f64 1/4 (-.f64 1 (*.f64 v v))))
(.f64 1 (.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))))
(.f64 (sqrt.f64 2) (.f64 1/4 (-.f64 1 (*.f64 v v))))
(.f64 (-.f64 1 (.f64 v v)) (*.f64 1/4 (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 1/4 (-.f64 1 (*.f64 v v))))
(.f64 (-.f64 1 (.f64 v v)) (-.f64 -1 (-.f64 -1 (*.f64 1/4 (sqrt.f64 2)))))
(.f64 (sqrt.f64 2) (.f64 1/4 (-.f64 1 (*.f64 v v))))
(.f64 (.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))) 1)
(.f64 (sqrt.f64 2) (.f64 1/4 (-.f64 1 (*.f64 v v))))
(.f64 (.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))) (/.f64 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v))) (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))))
(.f64 (sqrt.f64 2) (.f64 1/4 (-.f64 1 (*.f64 v v))))
(.f64 (.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))) (/.f64 (.f64 -1 (.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v))))) (neg.f64 (.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v)))))))
(.f64 (sqrt.f64 2) (.f64 1/4 (-.f64 1 (*.f64 v v))))
(.f64 (/.f64 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v))) (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))) (.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))))
(.f64 (sqrt.f64 2) (.f64 1/4 (-.f64 1 (*.f64 v v))))
(.f64 (neg.f64 (.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v))))) -1)
(.f64 (sqrt.f64 2) (.f64 1/4 (-.f64 1 (*.f64 v v))))
(.f64 (.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v))) 1/4)
(.f64 (sqrt.f64 2) (.f64 1/4 (-.f64 1 (*.f64 v v))))
(.f64 (.f64 1/4 (-.f64 1 (*.f64 v v))) (sqrt.f64 2))
(.f64 (sqrt.f64 2) (.f64 1/4 (-.f64 1 (*.f64 v v))))
(.f64 (+.f64 -1 (.f64 v v)) (neg.f64 (*.f64 1/4 (sqrt.f64 2))))
(.f64 (sqrt.f64 2) (.f64 1/4 (-.f64 1 (*.f64 v v))))
(.f64 (neg.f64 (.f64 1/4 (sqrt.f64 2))) (+.f64 -1 (*.f64 v v)))
(.f64 (sqrt.f64 2) (.f64 1/4 (-.f64 1 (*.f64 v v))))
(.f64 1/16 (.f64 (-.f64 1 (*.f64 v v)) (/.f64 (sqrt.f64 2) 1/4)))
(.f64 (-.f64 1 (.f64 v v)) (*.f64 (/.f64 (sqrt.f64 2) 1/4) 1/16))
(.f64 (-.f64 1 (.f64 v v)) (*.f64 1/16 (/.f64 (sqrt.f64 2) 1/4)))
(.f64 1/16 (/.f64 (.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v))) 1/4))
(.f64 1/16 (.f64 (.f64 (-.f64 1 (.f64 v v)) (/.f64 (sqrt.f64 2) 1/4)) 1))
(.f64 (-.f64 1 (.f64 v v)) (*.f64 (/.f64 (sqrt.f64 2) 1/4) 1/16))
(.f64 (-.f64 1 (.f64 v v)) (*.f64 1/16 (/.f64 (sqrt.f64 2) 1/4)))
(.f64 1/16 (.f64 (/.f64 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v))) 1/4) 1))
(.f64 1/16 (/.f64 (.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v))) 1/4))
(.f64 (/.f64 (sqrt.f64 2) 1/4) (.f64 1/16 (-.f64 1 (*.f64 v v))))
(.f64 (-.f64 1 (.f64 v v)) (*.f64 (/.f64 (sqrt.f64 2) 1/4) 1/16))
(.f64 (-.f64 1 (.f64 v v)) (*.f64 1/16 (/.f64 (sqrt.f64 2) 1/4)))
(.f64 (/.f64 (sqrt.f64 2) 1/4) (.f64 (-.f64 1 (*.f64 v v)) 1/16))
(.f64 (-.f64 1 (.f64 v v)) (*.f64 (/.f64 (sqrt.f64 2) 1/4) 1/16))
(.f64 (-.f64 1 (.f64 v v)) (*.f64 1/16 (/.f64 (sqrt.f64 2) 1/4)))
(.f64 (.f64 (-.f64 1 (.f64 v v)) (.f64 (-.f64 1 (.f64 v v)) 1/8)) (/.f64 1 (.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v))))))
(.f64 (-.f64 1 (.f64 v v)) (.f64 (.f64 (-.f64 1 (.f64 v v)) 1/8) (/.f64 1 (.f64 (sqrt.f64 2) (.f64 1/4 (-.f64 1 (.f64 v v)))))))
(.f64 (.f64 (-.f64 1 (.f64 v v)) 1/8) (.f64 (-.f64 1 (.f64 v v)) (/.f64 1 (.f64 (sqrt.f64 2) (.f64 1/4 (-.f64 1 (.f64 v v)))))))
(.f64 (.f64 (-.f64 1 (.f64 v v)) (.f64 (-.f64 1 (.f64 v v)) 1/8)) (.f64 (/.f64 1 (.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v))))) 1))
(.f64 (-.f64 1 (.f64 v v)) (.f64 (.f64 (-.f64 1 (.f64 v v)) 1/8) (/.f64 1 (.f64 (sqrt.f64 2) (.f64 1/4 (-.f64 1 (.f64 v v)))))))
(.f64 (.f64 (-.f64 1 (.f64 v v)) 1/8) (.f64 (-.f64 1 (.f64 v v)) (/.f64 1 (.f64 (sqrt.f64 2) (.f64 1/4 (-.f64 1 (.f64 v v)))))))
(.f64 (.f64 (-.f64 1 (.f64 v v)) (.f64 (-.f64 1 (.f64 v v)) 1/8)) (/.f64 -1 (neg.f64 (.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))))))
(.f64 (.f64 (-.f64 1 (.f64 v v)) (.f64 (-.f64 1 (.f64 v v)) 1/8)) (/.f64 -1 (neg.f64 (.f64 (sqrt.f64 2) (.f64 1/4 (-.f64 1 (.f64 v v)))))))
(.f64 (.f64 (-.f64 1 (.f64 v v)) (.f64 (-.f64 1 (.f64 v v)) 1/8)) (/.f64 -1 (.f64 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v))) -1/4)))
(.f64 1/8 (.f64 (.f64 (-.f64 1 (.f64 v v)) (-.f64 1 (.f64 v v))) (/.f64 -1 (.f64 -1/4 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))))))
(.f64 1/8 (.f64 (/.f64 -1 (.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (.f64 v v) -1))) (.f64 (-.f64 1 (.f64 v v)) (-.f64 1 (.f64 v v)))))
(.f64 (.f64 (-.f64 1 (.f64 v v)) (.f64 (-.f64 1 (.f64 v v)) 1/8)) (/.f64 -1 (.f64 1/4 (.f64 (sqrt.f64 2) (+.f64 (.f64 v v) -1)))))
(.f64 (.f64 (-.f64 1 (.f64 v v)) (.f64 (-.f64 1 (.f64 v v)) 1/8)) (/.f64 (/.f64 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v))) (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))) (.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v))))))
(.f64 (.f64 (-.f64 1 (.f64 v v)) (.f64 (-.f64 1 (.f64 v v)) 1/8)) (/.f64 (/.f64 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v))) (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))) (.f64 (sqrt.f64 2) (.f64 1/4 (-.f64 1 (.f64 v v))))))
(.f64 1/8 (.f64 (.f64 (-.f64 1 (.f64 v v)) (-.f64 1 (.f64 v v))) (/.f64 (/.f64 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v))) (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))) (.f64 (sqrt.f64 2) (.f64 1/4 (-.f64 1 (.f64 v v)))))))
(.f64 1/8 (.f64 (/.f64 (/.f64 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v))) (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))) (.f64 (sqrt.f64 2) (.f64 1/4 (-.f64 1 (.f64 v v))))) (.f64 (-.f64 1 (.f64 v v)) (-.f64 1 (.f64 v v)))))
(.f64 1/8 (.f64 (/.f64 (/.f64 (-.f64 1 (.f64 v v)) (-.f64 1 (.f64 v v))) (.f64 (sqrt.f64 2) (.f64 1/4 (-.f64 1 (.f64 v v))))) (.f64 (-.f64 1 (.f64 v v)) (-.f64 1 (.f64 v v)))))
(.f64 1/8 (.f64 (-.f64 1 (.f64 v v)) (/.f64 1 (.f64 1/4 (sqrt.f64 2)))))
(.f64 (-.f64 1 (.f64 v v)) (.f64 (/.f64 1 (.f64 1/4 (sqrt.f64 2))) 1/8))
(.f64 (/.f64 1 (.f64 1/4 (sqrt.f64 2))) (.f64 (-.f64 1 (.f64 v v)) 1/8))
(.f64 (.f64 (-.f64 1 (.f64 v v)) 1/8) (/.f64 1 (.f64 1/4 (sqrt.f64 2))))
(.f64 (.f64 (-.f64 1 (.f64 v v)) (-.f64 1 (.f64 v v))) (.f64 (.f64 1/4 (sqrt.f64 2)) (/.f64 1 (-.f64 1 (*.f64 v v)))))
(.f64 (sqrt.f64 2) (.f64 1/4 (-.f64 1 (*.f64 v v))))
(.f64 (.f64 (-.f64 1 (*.f64 v v)) (/.f64 (sqrt.f64 2) 1/4)) 1/16)
(.f64 (-.f64 1 (.f64 v v)) (*.f64 (/.f64 (sqrt.f64 2) 1/4) 1/16))
(.f64 (-.f64 1 (.f64 v v)) (*.f64 1/16 (/.f64 (sqrt.f64 2) 1/4)))
(.f64 (neg.f64 (/.f64 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v))) (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v))))) (neg.f64 (.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v))))))
(.f64 (sqrt.f64 2) (.f64 1/4 (-.f64 1 (*.f64 v v))))
(.f64 (/.f64 (.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v))) 1/4) 1/16)
(.f64 1/16 (/.f64 (.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v))) 1/4))
(.f64 (/.f64 1 (.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v))))) (.f64 (-.f64 1 (.f64 v v)) (.f64 (-.f64 1 (.f64 v v)) 1/8)))
(.f64 (-.f64 1 (.f64 v v)) (.f64 (.f64 (-.f64 1 (.f64 v v)) 1/8) (/.f64 1 (.f64 (sqrt.f64 2) (.f64 1/4 (-.f64 1 (.f64 v v)))))))
(.f64 (.f64 (-.f64 1 (.f64 v v)) 1/8) (.f64 (-.f64 1 (.f64 v v)) (/.f64 1 (.f64 (sqrt.f64 2) (.f64 1/4 (-.f64 1 (.f64 v v)))))))
(.f64 (.f64 (.f64 (-.f64 1 (.f64 v v)) (.f64 (-.f64 1 (.f64 v v)) 1/8)) (.f64 (-.f64 1 (.f64 v v)) (.f64 (-.f64 1 (.f64 v v)) 1/8))) (/.f64 (/.f64 1 (.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v))))) (.f64 (-.f64 1 (.f64 v v)) (.f64 (-.f64 1 (*.f64 v v)) 1/8))))
(.f64 (-.f64 1 (.f64 v v)) (.f64 (.f64 (-.f64 1 (.f64 v v)) 1/8) (/.f64 1 (.f64 (sqrt.f64 2) (.f64 1/4 (-.f64 1 (.f64 v v)))))))
(.f64 (.f64 (-.f64 1 (.f64 v v)) 1/8) (.f64 (-.f64 1 (.f64 v v)) (/.f64 1 (.f64 (sqrt.f64 2) (.f64 1/4 (-.f64 1 (.f64 v v)))))))
(.f64 (.f64 (.f64 (-.f64 1 (.f64 v v)) (.f64 (-.f64 1 (.f64 v v)) 1/8)) (.f64 (-.f64 1 (.f64 v v)) (.f64 (-.f64 1 (.f64 v v)) 1/8))) (/.f64 (.f64 (/.f64 1 (.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v))))) 1) (.f64 (-.f64 1 (.f64 v v)) (.f64 (-.f64 1 (.f64 v v)) 1/8))))
(.f64 (-.f64 1 (.f64 v v)) (.f64 (.f64 (-.f64 1 (.f64 v v)) 1/8) (/.f64 1 (.f64 (sqrt.f64 2) (.f64 1/4 (-.f64 1 (.f64 v v)))))))
(.f64 (.f64 (-.f64 1 (.f64 v v)) 1/8) (.f64 (-.f64 1 (.f64 v v)) (/.f64 1 (.f64 (sqrt.f64 2) (.f64 1/4 (-.f64 1 (.f64 v v)))))))
(.f64 (.f64 (.f64 (-.f64 1 (.f64 v v)) (.f64 (-.f64 1 (.f64 v v)) 1/8)) (.f64 (-.f64 1 (.f64 v v)) (.f64 (-.f64 1 (.f64 v v)) 1/8))) (/.f64 (/.f64 -1 (neg.f64 (.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))))) (.f64 (-.f64 1 (.f64 v v)) (.f64 (-.f64 1 (*.f64 v v)) 1/8))))
(.f64 (.f64 (-.f64 1 (.f64 v v)) (.f64 (-.f64 1 (.f64 v v)) 1/8)) (/.f64 -1 (neg.f64 (.f64 (sqrt.f64 2) (.f64 1/4 (-.f64 1 (.f64 v v)))))))
(.f64 (.f64 (-.f64 1 (.f64 v v)) (.f64 (-.f64 1 (.f64 v v)) 1/8)) (/.f64 -1 (.f64 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v))) -1/4)))
(.f64 1/8 (.f64 (.f64 (-.f64 1 (.f64 v v)) (-.f64 1 (.f64 v v))) (/.f64 -1 (.f64 -1/4 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))))))
(.f64 1/8 (.f64 (/.f64 -1 (.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (.f64 v v) -1))) (.f64 (-.f64 1 (.f64 v v)) (-.f64 1 (.f64 v v)))))
(.f64 (.f64 (-.f64 1 (.f64 v v)) (.f64 (-.f64 1 (.f64 v v)) 1/8)) (/.f64 -1 (.f64 1/4 (.f64 (sqrt.f64 2) (+.f64 (.f64 v v) -1)))))
(.f64 1/256 (/.f64 (.f64 (-.f64 1 (*.f64 v v)) (/.f64 (sqrt.f64 2) 1/4)) 1/16))
(.f64 1/256 (/.f64 (/.f64 (.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v))) 1/4) 1/16))
(.f64 (.f64 (.f64 (.f64 (-.f64 1 (.f64 v v)) (.f64 (-.f64 1 (.f64 v v)) 1/8)) (.f64 (-.f64 1 (.f64 v v)) (.f64 (-.f64 1 (.f64 v v)) 1/8))) (.f64 (.f64 (-.f64 1 (.f64 v v)) (.f64 (-.f64 1 (.f64 v v)) 1/8)) (.f64 (-.f64 1 (.f64 v v)) (.f64 (-.f64 1 (.f64 v v)) 1/8)))) (/.f64 (/.f64 (/.f64 1 (.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v))))) (.f64 (-.f64 1 (.f64 v v)) (.f64 (-.f64 1 (.f64 v v)) 1/8))) (.f64 (.f64 (-.f64 1 (.f64 v v)) (.f64 (-.f64 1 (.f64 v v)) 1/8)) (.f64 (-.f64 1 (.f64 v v)) (.f64 (-.f64 1 (.f64 v v)) 1/8)))))
(.f64 (-.f64 1 (.f64 v v)) (.f64 (.f64 (-.f64 1 (.f64 v v)) 1/8) (/.f64 1 (.f64 (sqrt.f64 2) (.f64 1/4 (-.f64 1 (.f64 v v)))))))
(.f64 (.f64 (-.f64 1 (.f64 v v)) 1/8) (.f64 (-.f64 1 (.f64 v v)) (/.f64 1 (.f64 (sqrt.f64 2) (.f64 1/4 (-.f64 1 (.f64 v v)))))))
(/.f64 (.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v)))) 1)
(.f64 (sqrt.f64 2) (.f64 1/4 (-.f64 1 (*.f64 v v))))
(/.f64 (.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))) (/.f64 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v))) (.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v)))))
(.f64 (sqrt.f64 2) (.f64 1/4 (-.f64 1 (*.f64 v v))))
(/.f64 (neg.f64 (.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v))))) -1)
(.f64 (sqrt.f64 2) (.f64 1/4 (-.f64 1 (*.f64 v v))))
(pow.f64 (.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v)))) 1)
(.f64 (sqrt.f64 2) (.f64 1/4 (-.f64 1 (*.f64 v v))))
(neg.f64 (neg.f64 (.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v))))))
(.f64 (sqrt.f64 2) (.f64 1/4 (-.f64 1 (*.f64 v v))))

eval106.0ms (1%)

Compiler: Compiled 5052 to 3642 computations (27.9% saved)

prune33.0ms (0.3%)

Pruning

10 alts after pruning (4 fresh and 6 done)

	Pruned	Kept	Total
New	181	4	185
Fresh	0	0	0
Picked	1	0	1
Done	1	6	7
Total	183	10	193

Error

Counts

193 → 10

Alt Table

Click to see full alt table

Status	Error	Program
	1.5b	(/.f64 1/2 (sqrt.f64 2))
✓	0.0b	(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (-.f64 1 (.f64 v (.f64 3 v)))) (-.f64 1 (*.f64 v v))))
	1.5b	(.f64 (/.f64 1 (.f64 1/4 (sqrt.f64 2))) (.f64 (-.f64 1 (.f64 v v)) 1/8))
✓	1.0b	(.f64 (+.f64 (+.f64 1 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))))) -1) (-.f64 1 (*.f64 v v)))
✓	0.0b	(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 v (.f64 v 3))))) (-.f64 1 (*.f64 v v)))
	1.5b	(.f64 (.f64 (-.f64 1 (.f64 v v)) (.f64 2 (-.f64 1 (*.f64 v v)))) (/.f64 1/4 (sqrt.f64 2)))
✓	0.3b	(.f64 (.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 (pow.f64 v 2) -3/8))) (-.f64 1 (.f64 v v)))
✓	0.5b	(.f64 (.f64 1/4 (sqrt.f64 2)) (-.f64 1 (*.f64 v v)))
	1.5b	(.f64 2 (/.f64 (.f64 1/4 (-.f64 1 (*.f64 v v))) (sqrt.f64 2)))
✓	0.5b	(*.f64 1/4 (sqrt.f64 2))

Compiler

Compiled 149 to 122 computations (18.1% saved)

regimes23.0ms (0.2%)

Counts

14 → 1

Calls

Call 1

Inputs
(*.f64 1/4 (sqrt.f64 2))
(/.f64 1/2 (sqrt.f64 2))
(.f64 (.f64 1/4 (sqrt.f64 2)) (-.f64 1 (*.f64 v v)))
(.f64 2 (/.f64 (.f64 1/4 (-.f64 1 (*.f64 v v))) (sqrt.f64 2)))
(.f64 (/.f64 1 (.f64 1/4 (sqrt.f64 2))) (.f64 (-.f64 1 (.f64 v v)) 1/8))
(-.f64 (-.f64 0 (-.f64 -1 (.f64 (.f64 1/4 (sqrt.f64 2)) (-.f64 1 (*.f64 v v))))) 1)
(.f64 (.f64 (-.f64 1 (.f64 v v)) (.f64 2 (-.f64 1 (*.f64 v v)))) (/.f64 1/4 (sqrt.f64 2)))
(.f64 (.f64 (-.f64 1 (.f64 v v)) (.f64 2 (-.f64 1 (.f64 v v)))) (/.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v)))))
(.f64 (.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 (pow.f64 v 2) -3/8))) (-.f64 1 (.f64 v v)))
(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))
(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 v (.f64 v 3))))) (-.f64 1 (*.f64 v v)))
(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (-.f64 1 (.f64 v (.f64 3 v)))) (-.f64 1 (*.f64 v v))))
(.f64 (+.f64 (+.f64 1 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))))) -1) (-.f64 1 (*.f64 v v)))
(.f64 (-.f64 (-.f64 0 (-.f64 -1 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))))) 1) (-.f64 1 (*.f64 v v)))

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

Calls

3 calls:

8.0ms	v
4.0ms	(*.f64 v v)
3.0ms	(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))

Results

Error	Segments	Branch
0.0b	1	`v`
0.0b	1	`(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))`
0.0b	1	`(*.f64 v v)`

Compiler

Compiled 250 to 184 computations (26.4% saved)

regimes15.0ms (0.2%)

Counts

9 → 1

Calls

Call 1

Inputs
(*.f64 1/4 (sqrt.f64 2))
(/.f64 1/2 (sqrt.f64 2))
(.f64 (.f64 1/4 (sqrt.f64 2)) (-.f64 1 (*.f64 v v)))
(.f64 2 (/.f64 (.f64 1/4 (-.f64 1 (*.f64 v v))) (sqrt.f64 2)))
(.f64 (/.f64 1 (.f64 1/4 (sqrt.f64 2))) (.f64 (-.f64 1 (.f64 v v)) 1/8))
(-.f64 (-.f64 0 (-.f64 -1 (.f64 (.f64 1/4 (sqrt.f64 2)) (-.f64 1 (*.f64 v v))))) 1)
(.f64 (.f64 (-.f64 1 (.f64 v v)) (.f64 2 (-.f64 1 (*.f64 v v)))) (/.f64 1/4 (sqrt.f64 2)))
(.f64 (.f64 (-.f64 1 (.f64 v v)) (.f64 2 (-.f64 1 (.f64 v v)))) (/.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v)))))
(.f64 (.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 (pow.f64 v 2) -3/8))) (-.f64 1 (.f64 v v)))

Outputs
(.f64 (.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 (pow.f64 v 2) -3/8))) (-.f64 1 (.f64 v v)))

Calls

2 calls:

7.0ms	v
3.0ms	(*.f64 v v)

Results

Error	Segments	Branch
0.3b	1	`v`
0.3b	1	`(*.f64 v v)`

Compiler

Compiled 125 to 92 computations (26.4% saved)

regimes15.0ms (0.1%)

Counts

8 → 1

Calls

Call 1

Inputs
(*.f64 1/4 (sqrt.f64 2))
(/.f64 1/2 (sqrt.f64 2))
(.f64 (.f64 1/4 (sqrt.f64 2)) (-.f64 1 (*.f64 v v)))
(.f64 2 (/.f64 (.f64 1/4 (-.f64 1 (*.f64 v v))) (sqrt.f64 2)))
(.f64 (/.f64 1 (.f64 1/4 (sqrt.f64 2))) (.f64 (-.f64 1 (.f64 v v)) 1/8))
(-.f64 (-.f64 0 (-.f64 -1 (.f64 (.f64 1/4 (sqrt.f64 2)) (-.f64 1 (*.f64 v v))))) 1)
(.f64 (.f64 (-.f64 1 (.f64 v v)) (.f64 2 (-.f64 1 (*.f64 v v)))) (/.f64 1/4 (sqrt.f64 2)))
(.f64 (.f64 (-.f64 1 (.f64 v v)) (.f64 2 (-.f64 1 (.f64 v v)))) (/.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v)))))

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

Calls

2 calls:

5.0ms	v
5.0ms	(*.f64 v v)

Results

Error	Segments	Branch
0.5b	1	`v`
0.5b	1	`(*.f64 v v)`

Compiler

Compiled 109 to 80 computations (26.6% saved)

regimes4.0ms (0%)

Accuracy

Total -1.0b remaining (-184.8%)

Threshold costs -1.0b (-184.8%)

Counts

2 → 1

Calls

Call 1

Inputs
(*.f64 1/4 (sqrt.f64 2))
(/.f64 1/2 (sqrt.f64 2))

Outputs
(*.f64 1/4 (sqrt.f64 2))

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
0.5b	1	`v`

Compiler

Compiled 11 to 10 computations (9.1% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	144

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))
(.f64 (.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 (pow.f64 v 2) -3/8))) (-.f64 1 (.f64 v v)))
(.f64 (.f64 1/4 (sqrt.f64 2)) (-.f64 1 (*.f64 v v)))
(*.f64 1/4 (sqrt.f64 2))

Outputs
(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))
(.f64 (.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 (pow.f64 v 2) -3/8))) (-.f64 1 (.f64 v v)))
(.f64 (.f64 1/4 (sqrt.f64 2)) (-.f64 1 (*.f64 v v)))
(*.f64 1/4 (sqrt.f64 2))

Compiler

Compiled 53 to 43 computations (18.9% saved)

soundness0.0ms (0%)

end43.0ms (0.4%)

Compiler: Compiled 50 to 38 computations (24% saved)

Details

analyze8.0ms (0.1%)

sample3.9s (39%)

preprocess13.0ms (0.1%)

simplify32.0ms (0.3%)

eval3.0ms (0%)

prune3.0ms (0%)

localize164.0ms (1.6%)

series11.0ms (0.1%)

rewrite252.0ms (2.5%)

simplify216.0ms (2.1%)

localize58.0ms (0.6%)

series2.0ms (0%)

rewrite171.0ms (1.7%)

simplify186.0ms (1.8%)

eval384.0ms (3.8%)

prune75.0ms (0.7%)

localize8.0ms (0.1%)

localize42.0ms (0.4%)

series3.0ms (0%)

rewrite107.0ms (1.1%)

simplify221.0ms (2.2%)

localize330.0ms (3.3%)

series3.0ms (0%)

rewrite192.0ms (1.9%)

simplify516.0ms (5.1%)

eval408.0ms (4%)

prune59.0ms (0.6%)

localize22.0ms (0.2%)

series2.0ms (0%)

rewrite132.0ms (1.3%)

simplify214.0ms (2.1%)

localize73.0ms (0.7%)

series2.0ms (0%)

rewrite170.0ms (1.7%)

simplify269.0ms (2.7%)

eval360.0ms (3.6%)

prune156.0ms (1.5%)

localize27.0ms (0.3%)

series4.0ms (0%)

rewrite166.0ms (1.6%)

simplify452.0ms (4.5%)

localize28.0ms (0.3%)

series0.0ms (0%)

rewrite141.0ms (1.4%)

simplify241.0ms (2.4%)

eval106.0ms (1%)

prune33.0ms (0.3%)

regimes23.0ms (0.2%)

regimes15.0ms (0.2%)

regimes15.0ms (0.1%)

regimes4.0ms (0%)

simplify3.0ms (0%)

soundness0.0ms (0%)

end43.0ms (0.4%)

Profiling