Details

analyze1.8s (3.6%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
0%	0%	99.8%	0.2%	0%	0%	0%	1
0%	0%	99.8%	0.2%	0%	0%	0%	2
0%	0%	99.8%	0.2%	0%	0%	0%	3
0%	0%	99.8%	0.2%	0%	0%	0%	4
0%	0%	99.8%	0.2%	0%	0%	0%	5
0%	0%	99.8%	0.2%	0%	0%	0%	6
0%	0%	98.2%	0.2%	0%	1.6%	0%	7
0%	0%	92%	0.2%	0%	7.8%	0%	8
0%	0%	91.2%	0.2%	0%	8.6%	0%	9
0%	0%	89.7%	0.2%	0%	10.1%	0%	10
1.5%	1.3%	85.5%	0.2%	0%	13.1%	0%	11
3%	2.4%	80%	0.2%	0%	17.3%	0%	12

Compiler

Compiled 45 to 33 computations (26.7% saved)

sample6.4s (13%)

Results

2.0s	6075×	body	256	valid
869.0ms	3273×	body	256	invalid
845.0ms	888×	body	1024	valid
703.0ms	627×	body	2048	valid
623.0ms	830×	body	1024	invalid
589.0ms	588×	body	2048	invalid
483.0ms	664×	body	512	valid
272.0ms	580×	body	512	invalid
2.0ms	2×	body	4096	valid

Bogosity

preprocess58.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

1114×	`associate-r`
1088×	`associate-l`
920×	`+-commutative`
778×	`distribute-lft-in`
768×	`distribute-lft-neg-out`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	111	847
1	324	679
2	1112	679
3	4755	679
0	4	4

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2
3

Outputs
0
1
2
3

Call 2

Inputs
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 (-.f64 (pow.f64 B 2) (.f64 (.f64 4 A) C)) F)) (-.f64 (+.f64 A C) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2))))))) (-.f64 (pow.f64 B 2) (.f64 (*.f64 4 A) C)))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 (-.f64 (pow.f64 A 2) (.f64 (.f64 4 B) C)) F)) (-.f64 (+.f64 B C) (sqrt.f64 (+.f64 (pow.f64 (-.f64 B C) 2) (pow.f64 A 2))))))) (-.f64 (pow.f64 A 2) (.f64 (*.f64 4 B) C)))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 (-.f64 (pow.f64 B 2) (.f64 (.f64 4 C) A)) F)) (-.f64 (+.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 C A) 2) (pow.f64 B 2))))))) (-.f64 (pow.f64 B 2) (.f64 (*.f64 4 C) A)))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 (-.f64 (pow.f64 B 2) (.f64 (.f64 4 F) C)) A)) (-.f64 (+.f64 F C) (sqrt.f64 (+.f64 (pow.f64 (-.f64 F C) 2) (pow.f64 B 2))))))) (-.f64 (pow.f64 B 2) (.f64 (*.f64 4 F) C)))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 (-.f64 (pow.f64 C 2) (.f64 (.f64 4 A) B)) F)) (-.f64 (+.f64 A B) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A B) 2) (pow.f64 C 2))))))) (-.f64 (pow.f64 C 2) (.f64 (*.f64 4 A) B)))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 (-.f64 (pow.f64 F 2) (.f64 (.f64 4 A) C)) B)) (-.f64 (+.f64 A C) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 F 2))))))) (-.f64 (pow.f64 F 2) (.f64 (*.f64 4 A) C)))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 (-.f64 (pow.f64 B 2) (.f64 (.f64 4 A) F)) C)) (-.f64 (+.f64 A F) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A F) 2) (pow.f64 B 2))))))) (-.f64 (pow.f64 B 2) (.f64 (*.f64 4 A) F)))

Outputs
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 (-.f64 (pow.f64 B 2) (.f64 (.f64 4 A) C)) F)) (-.f64 (+.f64 A C) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2))))))) (-.f64 (pow.f64 B 2) (.f64 (*.f64 4 A) C)))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 (-.f64 (.f64 B B) (.f64 (.f64 4 A) C)) F)) (-.f64 (+.f64 A C) (sqrt.f64 (+.f64 (.f64 B B) (pow.f64 (-.f64 A C) 2))))))) (-.f64 (.f64 B B) (.f64 (.f64 4 A) C)))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) F) (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 C (.f64 A -4))) F)) (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))) (fma.f64 B B (.f64 C (*.f64 A -4))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 C (.f64 A -4))) (.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))))) (fma.f64 B B (.f64 C (*.f64 A -4))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 (-.f64 (pow.f64 A 2) (.f64 (.f64 4 B) C)) F)) (-.f64 (+.f64 B C) (sqrt.f64 (+.f64 (pow.f64 (-.f64 B C) 2) (pow.f64 A 2))))))) (-.f64 (pow.f64 A 2) (.f64 (*.f64 4 B) C)))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 F (-.f64 (.f64 A A) (.f64 4 (.f64 B C)))) (+.f64 B (-.f64 C (sqrt.f64 (+.f64 (.f64 A A) (pow.f64 (-.f64 B C) 2))))))))) (-.f64 (.f64 A A) (.f64 4 (.f64 B C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 F (fma.f64 A A (.f64 C (.f64 B -4)))) (.f64 2 (+.f64 B (-.f64 C (hypot.f64 A (-.f64 B C)))))))) (fma.f64 A A (.f64 C (*.f64 B -4))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 F (fma.f64 A A (.f64 C (.f64 B -4)))) (+.f64 B (-.f64 C (hypot.f64 A (-.f64 B C)))))))) (fma.f64 A A (.f64 C (*.f64 B -4))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 (-.f64 (pow.f64 B 2) (.f64 (.f64 4 C) A)) F)) (-.f64 (+.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 C A) 2) (pow.f64 B 2))))))) (-.f64 (pow.f64 B 2) (.f64 (*.f64 4 C) A)))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 F (-.f64 (.f64 B B) (.f64 4 (.f64 C A)))) (+.f64 C (-.f64 A (sqrt.f64 (+.f64 (.f64 B B) (pow.f64 (-.f64 C A) 2))))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 C A))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 C A))))))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 C (.f64 A -4))) (.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 C A))))))))) (fma.f64 B B (.f64 C (*.f64 A -4))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 (-.f64 (pow.f64 B 2) (.f64 (.f64 4 F) C)) A)) (-.f64 (+.f64 F C) (sqrt.f64 (+.f64 (pow.f64 (-.f64 F C) 2) (pow.f64 B 2))))))) (-.f64 (pow.f64 B 2) (.f64 (*.f64 4 F) C)))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 A (-.f64 (.f64 B B) (.f64 4 (.f64 F C)))) (+.f64 F (-.f64 C (sqrt.f64 (+.f64 (.f64 B B) (pow.f64 (-.f64 F C) 2))))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 F C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 A (.f64 (fma.f64 B B (.f64 C (.f64 F -4))) (+.f64 C (-.f64 F (hypot.f64 B (-.f64 F C))))))))) (fma.f64 B B (.f64 C (*.f64 F -4))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 A (.f64 (fma.f64 C (.f64 F -4) (.f64 B B)) (-.f64 (+.f64 C F) (hypot.f64 B (-.f64 F C)))))))) (fma.f64 C (.f64 F -4) (*.f64 B B)))
(neg.f64 (/.f64 (sqrt.f64 (.f64 2 (.f64 A (.f64 (fma.f64 -4 (.f64 C F) (.f64 B B)) (+.f64 C (-.f64 F (hypot.f64 B (-.f64 F C)))))))) (fma.f64 -4 (.f64 C F) (*.f64 B B))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 (-.f64 (pow.f64 C 2) (.f64 (.f64 4 A) B)) F)) (-.f64 (+.f64 A B) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A B) 2) (pow.f64 C 2))))))) (-.f64 (pow.f64 C 2) (.f64 (*.f64 4 A) B)))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 F (-.f64 (.f64 C C) (.f64 B (.f64 4 A))))) (-.f64 (+.f64 B A) (sqrt.f64 (+.f64 (.f64 C C) (pow.f64 (-.f64 A B) 2))))))) (-.f64 (.f64 C C) (.f64 B (.f64 4 A))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 (fma.f64 C C (.f64 B (.f64 A -4))) (.f64 F 2)) (+.f64 B (-.f64 A (hypot.f64 C (-.f64 A B))))))) (fma.f64 C C (.f64 B (*.f64 A -4))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 F (.f64 (+.f64 A (-.f64 B (hypot.f64 C (-.f64 A B)))) (fma.f64 2 (.f64 C C) (.f64 -8 (.f64 B A))))))) (fma.f64 B (.f64 A -4) (*.f64 C C)))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 F (fma.f64 B (.f64 A -4) (.f64 C C))) (+.f64 B (-.f64 A (hypot.f64 C (-.f64 A B)))))))) (fma.f64 B (.f64 A -4) (*.f64 C C)))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 (-.f64 (pow.f64 F 2) (.f64 (.f64 4 A) C)) B)) (-.f64 (+.f64 A C) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 F 2))))))) (-.f64 (pow.f64 F 2) (.f64 (*.f64 4 A) C)))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 B (-.f64 (.f64 F F) (.f64 (.f64 4 A) C))) (+.f64 A (-.f64 C (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (.f64 F F))))))))) (-.f64 (.f64 F F) (.f64 (.f64 4 A) C)))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 B (.f64 (fma.f64 F F (.f64 A (.f64 C -4))) (+.f64 C (-.f64 A (hypot.f64 F (-.f64 A C))))))))) (fma.f64 F F (.f64 A (*.f64 C -4))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 B (.f64 (+.f64 C (-.f64 A (hypot.f64 F (-.f64 A C)))) (.f64 2 (fma.f64 A (.f64 C -4) (.f64 F F))))))) (fma.f64 A (.f64 C -4) (*.f64 F F)))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 F F (.f64 C (.f64 A -4))) (.f64 (.f64 2 B) (+.f64 C (-.f64 A (hypot.f64 F (-.f64 A C)))))))) (fma.f64 F F (.f64 C (*.f64 A -4))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 (-.f64 (pow.f64 B 2) (.f64 (.f64 4 A) F)) C)) (-.f64 (+.f64 A F) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A F) 2) (pow.f64 B 2))))))) (-.f64 (pow.f64 B 2) (.f64 (*.f64 4 A) F)))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 C (-.f64 (.f64 B B) (.f64 4 (.f64 A F)))) (+.f64 A (-.f64 F (sqrt.f64 (+.f64 (.f64 B B) (pow.f64 (-.f64 A F) 2))))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A F))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 C (.f64 (fma.f64 B B (.f64 -4 (.f64 A F))) (+.f64 A (-.f64 F (hypot.f64 B (-.f64 A F))))))))) (fma.f64 B B (.f64 -4 (*.f64 A F))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 C (.f64 (fma.f64 B B (.f64 F (.f64 A -4))) (+.f64 A (-.f64 F (hypot.f64 B (-.f64 A F))))))))) (fma.f64 B B (.f64 F (*.f64 A -4))))
(neg.f64 (/.f64 (sqrt.f64 (.f64 2 (.f64 C (.f64 (fma.f64 B B (.f64 F (.f64 A -4))) (+.f64 A (-.f64 F (hypot.f64 B (-.f64 A F)))))))) (fma.f64 B B (.f64 F (*.f64 A -4)))))

Compiler

Compiled 48 to 36 computations (25% saved)

simplify44.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1570×	`associate-+r+`
1126×	`associate-+l+`
902×	`associate-r`
838×	`associate-l`
772×	`distribute-lft-neg-out`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	121
1	63	97
2	192	97
3	722	97
4	3092	97

Stop Event

1×	node limit

Counts

1 → 6

Calls

Call 1

Inputs

(/.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 2 (*.f64 (-.f64 (pow.f64 B 2) (*.f64 (*.f64 4 A) C)) F)) (-.f64 (+.f64 A C) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2))))))) (-.f64 (pow.f64 B 2) (*.f64 (*.f64 4 A) C)))

Outputs
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 (-.f64 (pow.f64 B 2) (.f64 (.f64 4 A) C)) F)) (-.f64 (+.f64 A C) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2))))))) (-.f64 (pow.f64 B 2) (.f64 (*.f64 4 A) C)))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (sqrt.f64 (+.f64 (.f64 B B) (pow.f64 (-.f64 A C) 2))))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 C (.f64 A -4))) (.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))))) (fma.f64 B B (.f64 C (*.f64 A -4))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) (.f64 F (-.f64 C (-.f64 (hypot.f64 B (-.f64 A C)) A))))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 2 F))))) (fma.f64 A (.f64 C -4) (*.f64 B B)))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 2 F))))) (fma.f64 B B (.f64 A (*.f64 C -4))))

eval3.0ms (0%)

Compiler: Compiled 216 to 116 computations (46.3% saved)

prune3.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	3	3	6
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	4	3	7

Error

47.7b

Counts

7 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	48.6b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 2 F))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
▶	48.5b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) (.f64 F (-.f64 C (-.f64 (hypot.f64 B (-.f64 A C)) A))))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
▶	51.1b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (sqrt.f64 (+.f64 (.f64 B B) (pow.f64 (-.f64 A C) 2))))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))

Status

Error

Program

▶

48.6b

(/.f64 (neg.f64 (sqrt.f64 (*.f64 (fma.f64 B B (*.f64 A (*.f64 C -4))) (*.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (*.f64 2 F))))) (fma.f64 B B (*.f64 A (*.f64 C -4))))

▶

48.5b

(/.f64 (neg.f64 (sqrt.f64 (*.f64 2 (*.f64 (fma.f64 B B (*.f64 A (*.f64 -4 C))) (*.f64 F (-.f64 C (-.f64 (hypot.f64 B (-.f64 A C)) A))))))) (fma.f64 B B (*.f64 A (*.f64 -4 C))))

▶

51.1b

(/.f64 (neg.f64 (sqrt.f64 (*.f64 2 (*.f64 (*.f64 (-.f64 (*.f64 B B) (*.f64 4 (*.f64 A C))) F) (+.f64 A (-.f64 C (sqrt.f64 (+.f64 (*.f64 B B) (pow.f64 (-.f64 A C) 2))))))))) (-.f64 (*.f64 B B) (*.f64 4 (*.f64 A C))))

Compiler

Compiled 118 to 72 computations (39% saved)

localize67.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	5.0b	(.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F)
✓	18.2b	(sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (sqrt.f64 (+.f64 (*.f64 B B) (pow.f64 (-.f64 A C) 2))))))))
✓	24.6b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (sqrt.f64 (+.f64 (.f64 B B) (pow.f64 (-.f64 A C) 2))))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
✓	34.7b	(sqrt.f64 (+.f64 (*.f64 B B) (pow.f64 (-.f64 A C) 2)))

Compiler

Compiled 247 to 110 computations (55.5% saved)

series86.0ms (0.2%)

Counts

4 → 124

Calls

45 calls:

Time	Variable		Point	Expression
6.0ms	C	@	0	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (sqrt.f64 (+.f64 (.f64 B B) (pow.f64 (-.f64 A C) 2))))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
6.0ms	C	@	inf	(.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F)
5.0ms	A	@	0	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (sqrt.f64 (+.f64 (.f64 B B) (pow.f64 (-.f64 A C) 2))))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
5.0ms	A	@	inf	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (sqrt.f64 (+.f64 (.f64 B B) (pow.f64 (-.f64 A C) 2))))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
5.0ms	C	@	-inf	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (sqrt.f64 (+.f64 (.f64 B B) (pow.f64 (-.f64 A C) 2))))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))

rewrite80.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

600×	`add-sqr-sqrt`
586×	`*-un-lft-identity`
584×	`pow1`
558×	`add-exp-log`
556×	`add-cbrt-cube`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	256
1	578	236

Stop Event

1×	node limit

Counts

4 → 126

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 (*.f64 B B) (pow.f64 (-.f64 A C) 2)))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (sqrt.f64 (+.f64 (.f64 B B) (pow.f64 (-.f64 A C) 2))))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (sqrt.f64 (+.f64 (*.f64 B B) (pow.f64 (-.f64 A C) 2))))))))
(.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F)

Outputs
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simplify204.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1136×	`associate-/l*`
986×	`associate-/r*`
934×	`associate-*r/`
856×	`*-commutative`
676×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1001	32594
1	3179	32572

Stop Event

1×	node limit

Counts

250 → 392

Calls

Call 1

Inputs
(-.f64 A C)
(-.f64 (+.f64 A (*.f64 1/2 (/.f64 (pow.f64 B 2) (-.f64 A C)))) C)
(-.f64 (+.f64 A (+.f64 (.f64 1/2 (/.f64 (pow.f64 B 2) (-.f64 A C))) (.f64 -1/8 (/.f64 (pow.f64 B 4) (pow.f64 (-.f64 A C) 3))))) C)
(-.f64 (+.f64 A (+.f64 (.f64 1/16 (/.f64 (pow.f64 B 6) (pow.f64 (-.f64 A C) 5))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 B 2) (-.f64 A C))) (*.f64 -1/8 (/.f64 (pow.f64 B 4) (pow.f64 (-.f64 A C) 3)))))) C)
B
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B)) B)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (-.f64 A C) 4) (pow.f64 B 3))) B))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B)) (+.f64 (.f64 1/16 (/.f64 (pow.f64 (-.f64 A C) 6) (pow.f64 B 5))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 (-.f64 A C) 4) (pow.f64 B 3))) B)))
(*.f64 -1 B)
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B)) (.f64 -1 B))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B)) (+.f64 (.f64 1/8 (/.f64 (pow.f64 (-.f64 A C) 4) (pow.f64 B 3))) (*.f64 -1 B)))
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(sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))
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A
(+.f64 A (*.f64 -1 C))
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(*.f64 -1 A)
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(sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))
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C
(+.f64 C (*.f64 -1 A))
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(*.f64 -1 C)
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(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 2 (.f64 (.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) F) (+.f64 A (-.f64 C (sqrt.f64 (fma.f64 B B (pow.f64 (-.f64 A C) 2)))))))) 2) 1/2) (pow.f64 (cbrt.f64 (.f64 2 (.f64 (.f64 (fma.f64 B B (.f64 (*.f64 A C) -4)) F) (+.f64 A (-.f64 C (sqrt.f64 (fma.f64 B B (pow.f64 (-.f64 A C) 2)))))))) 1/2))
(.f64 (pow.f64 (.f64 (.f64 2 F) (fma.f64 B B (.f64 (*.f64 A C) -4))) 1/2) (sqrt.f64 (+.f64 A (-.f64 C (sqrt.f64 (fma.f64 B B (pow.f64 (-.f64 A C) 2)))))))
(/.f64 (-.f64 0 (.f64 2 (.f64 (.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) F) (+.f64 A (-.f64 C (sqrt.f64 (fma.f64 B B (pow.f64 (-.f64 A C) 2)))))))) (sqrt.f64 (.f64 2 (.f64 (.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) F) (+.f64 A (-.f64 C (sqrt.f64 (fma.f64 B B (pow.f64 (-.f64 A C) 2)))))))))
(/.f64 (-.f64 0 (pow.f64 (.f64 2 (.f64 (.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) F) (+.f64 A (-.f64 C (sqrt.f64 (fma.f64 B B (pow.f64 (-.f64 A C) 2))))))) 3/2)) (+.f64 0 (+.f64 (.f64 2 (.f64 (.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) F) (+.f64 A (-.f64 C (sqrt.f64 (fma.f64 B B (pow.f64 (-.f64 A C) 2))))))) (.f64 0 (sqrt.f64 (.f64 2 (.f64 (.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) F) (+.f64 A (-.f64 C (sqrt.f64 (fma.f64 B B (pow.f64 (-.f64 A C) 2))))))))))))
(pow.f64 (.f64 2 (.f64 (.f64 (fma.f64 B B (.f64 (*.f64 A C) -4)) F) (+.f64 A (-.f64 C (sqrt.f64 (fma.f64 B B (pow.f64 (-.f64 A C) 2))))))) 1/2)
(pow.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (fma.f64 B B (.f64 (*.f64 A C) -4)) F) (+.f64 A (-.f64 C (sqrt.f64 (fma.f64 B B (pow.f64 (-.f64 A C) 2)))))))) 1)
(pow.f64 (pow.f64 (.f64 2 (.f64 (.f64 (fma.f64 B B (.f64 (*.f64 A C) -4)) F) (+.f64 A (-.f64 C (sqrt.f64 (fma.f64 B B (pow.f64 (-.f64 A C) 2))))))) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (fma.f64 B B (.f64 (*.f64 A C) -4)) F) (+.f64 A (-.f64 C (sqrt.f64 (fma.f64 B B (pow.f64 (-.f64 A C) 2))))))))) 3)
(pow.f64 (pow.f64 (.f64 2 (.f64 (.f64 (fma.f64 B B (.f64 (*.f64 A C) -4)) F) (+.f64 A (-.f64 C (sqrt.f64 (fma.f64 B B (pow.f64 (-.f64 A C) 2))))))) 3/2) 1/3)
(neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (fma.f64 B B (.f64 (*.f64 A C) -4)) F) (+.f64 A (-.f64 C (sqrt.f64 (fma.f64 B B (pow.f64 (-.f64 A C) 2)))))))))
(fabs.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (fma.f64 B B (.f64 (*.f64 A C) -4)) F) (+.f64 A (-.f64 C (sqrt.f64 (fma.f64 B B (pow.f64 (-.f64 A C) 2)))))))))
(log.f64 (exp.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (fma.f64 B B (.f64 (*.f64 A C) -4)) F) (+.f64 A (-.f64 C (sqrt.f64 (fma.f64 B B (pow.f64 (-.f64 A C) 2))))))))))
(cbrt.f64 (pow.f64 (.f64 2 (.f64 (.f64 (fma.f64 B B (.f64 (*.f64 A C) -4)) F) (+.f64 A (-.f64 C (sqrt.f64 (fma.f64 B B (pow.f64 (-.f64 A C) 2))))))) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (fma.f64 B B (.f64 (*.f64 A C) -4)) F) (+.f64 A (-.f64 C (sqrt.f64 (fma.f64 B B (pow.f64 (-.f64 A C) 2))))))))))
(exp.f64 (log.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (fma.f64 B B (.f64 (*.f64 A C) -4)) F) (+.f64 A (-.f64 C (sqrt.f64 (fma.f64 B B (pow.f64 (-.f64 A C) 2))))))))))
(exp.f64 (.f64 (log.f64 (.f64 2 (.f64 (.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) F) (+.f64 A (-.f64 C (sqrt.f64 (fma.f64 B B (pow.f64 (-.f64 A C) 2)))))))) 1/2))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) F) (+.f64 A (-.f64 C (sqrt.f64 (fma.f64 B B (pow.f64 (-.f64 A C) 2))))))))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (fma.f64 B B (.f64 (*.f64 A C) -4)) F) (+.f64 A (-.f64 C (sqrt.f64 (fma.f64 B B (pow.f64 (-.f64 A C) 2))))))))))
(+.f64 (.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) F) (.f64 F (fma.f64 (.f64 C (neg.f64 A)) 4 (.f64 A (*.f64 C 4)))))
(+.f64 (.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) F) (.f64 (fma.f64 (.f64 C (neg.f64 A)) 4 (.f64 A (*.f64 C 4))) F))
(+.f64 (.f64 F (.f64 B B)) (.f64 F (.f64 (*.f64 A C) -4)))
(+.f64 (.f64 (.f64 B B) F) (.f64 (.f64 (*.f64 A C) -4) F))
(/.f64 (.f64 F (-.f64 (pow.f64 B 4) (.f64 (pow.f64 (.f64 A C) 2) 16))) (+.f64 (.f64 B B) (.f64 A (.f64 C 4))))
(/.f64 (.f64 F (-.f64 (pow.f64 B 6) (.f64 (pow.f64 (.f64 A C) 3) 64))) (+.f64 (pow.f64 B 4) (.f64 (.f64 A (.f64 C 4)) (+.f64 (.f64 B B) (.f64 A (*.f64 C 4))))))
(/.f64 (.f64 (-.f64 (pow.f64 B 4) (.f64 (pow.f64 (.f64 A C) 2) 16)) F) (+.f64 (.f64 B B) (.f64 A (.f64 C 4))))
(/.f64 (.f64 (-.f64 (pow.f64 B 6) (.f64 (pow.f64 (.f64 A C) 3) 64)) F) (+.f64 (pow.f64 B 4) (.f64 (.f64 A (.f64 C 4)) (+.f64 (.f64 B B) (.f64 A (*.f64 C 4))))))
(pow.f64 (.f64 (fma.f64 B B (.f64 (*.f64 A C) -4)) F) 1)
(pow.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 (*.f64 A C) -4)) F)) 2)
(pow.f64 (cbrt.f64 (.f64 (fma.f64 B B (.f64 (*.f64 A C) -4)) F)) 3)
(pow.f64 (pow.f64 (.f64 (fma.f64 B B (.f64 (*.f64 A C) -4)) F) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 (fma.f64 B B (.f64 (*.f64 A C) -4)) F) 2))
(log.f64 (pow.f64 (exp.f64 F) (fma.f64 B B (.f64 (.f64 A C) -4))))
(cbrt.f64 (pow.f64 (.f64 (fma.f64 B B (.f64 (*.f64 A C) -4)) F) 3))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 B B (.f64 (*.f64 A C) -4)) 3) (pow.f64 F 3)))
(cbrt.f64 (.f64 (pow.f64 F 3) (pow.f64 (fma.f64 B B (.f64 (*.f64 A C) -4)) 3)))
(expm1.f64 (log1p.f64 (.f64 (fma.f64 B B (.f64 (*.f64 A C) -4)) F)))
(exp.f64 (log.f64 (.f64 (fma.f64 B B (.f64 (*.f64 A C) -4)) F)))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) F)) 1))
(log1p.f64 (expm1.f64 (.f64 (fma.f64 B B (.f64 (*.f64 A C) -4)) F)))

Outputs
(-.f64 A C)
(-.f64 (+.f64 A (*.f64 1/2 (/.f64 (pow.f64 B 2) (-.f64 A C)))) C)
(+.f64 A (-.f64 (.f64 1/2 (/.f64 (.f64 B B) (-.f64 A C))) C))
(+.f64 (.f64 1/2 (/.f64 (.f64 B B) (-.f64 A C))) (-.f64 A C))
(-.f64 (+.f64 A (+.f64 (.f64 1/2 (/.f64 (pow.f64 B 2) (-.f64 A C))) (.f64 -1/8 (/.f64 (pow.f64 B 4) (pow.f64 (-.f64 A C) 3))))) C)
(+.f64 A (-.f64 (fma.f64 1/2 (/.f64 (.f64 B B) (-.f64 A C)) (/.f64 (.f64 -1/8 (pow.f64 B 4)) (pow.f64 (-.f64 A C) 3))) C))
(-.f64 (+.f64 A (+.f64 (.f64 1/16 (/.f64 (pow.f64 B 6) (pow.f64 (-.f64 A C) 5))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 B 2) (-.f64 A C))) (*.f64 -1/8 (/.f64 (pow.f64 B 4) (pow.f64 (-.f64 A C) 3)))))) C)
(+.f64 A (-.f64 (fma.f64 1/16 (/.f64 (pow.f64 B 6) (pow.f64 (-.f64 A C) 5)) (fma.f64 1/2 (/.f64 (.f64 B B) (-.f64 A C)) (/.f64 (.f64 -1/8 (pow.f64 B 4)) (pow.f64 (-.f64 A C) 3)))) C))
B
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B)) B)
(fma.f64 1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B) B)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (-.f64 A C) 4) (pow.f64 B 3))) B))
(fma.f64 1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B) (fma.f64 -1/8 (/.f64 (pow.f64 (-.f64 A C) 4) (pow.f64 B 3)) B))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B)) (+.f64 (.f64 1/16 (/.f64 (pow.f64 (-.f64 A C) 6) (pow.f64 B 5))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 (-.f64 A C) 4) (pow.f64 B 3))) B)))
(fma.f64 1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B) (fma.f64 1/16 (/.f64 (pow.f64 (-.f64 A C) 6) (pow.f64 B 5)) (fma.f64 -1/8 (/.f64 (pow.f64 (-.f64 A C) 4) (pow.f64 B 3)) B)))
(*.f64 -1 B)
(neg.f64 B)
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B)) (.f64 -1 B))
(fma.f64 -1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B) (neg.f64 B))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B)) (+.f64 (.f64 1/8 (/.f64 (pow.f64 (-.f64 A C) 4) (pow.f64 B 3))) (*.f64 -1 B)))
(fma.f64 -1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B) (fma.f64 1/8 (/.f64 (pow.f64 (-.f64 A C) 4) (pow.f64 B 3)) (neg.f64 B)))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B)) (+.f64 (.f64 1/8 (/.f64 (pow.f64 (-.f64 A C) 4) (pow.f64 B 3))) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 (-.f64 A C) 6) (pow.f64 B 5))) (.f64 -1 B))))
(fma.f64 -1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B) (fma.f64 1/8 (/.f64 (pow.f64 (-.f64 A C) 4) (pow.f64 B 3)) (fma.f64 -1/16 (/.f64 (pow.f64 (-.f64 A C) 6) (pow.f64 B 5)) (neg.f64 B))))
(sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))
(sqrt.f64 (+.f64 (.f64 B B) (.f64 C C)))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2))) (.f64 -1 (.f64 (*.f64 A C) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))))))
(+.f64 (sqrt.f64 (+.f64 (.f64 B B) (.f64 C C))) (neg.f64 (.f64 (.f64 A C) (sqrt.f64 (/.f64 1 (+.f64 (.f64 B B) (.f64 C C)))))))
(+.f64 (.f64 1/2 (.f64 (.f64 (pow.f64 A 2) (-.f64 1 (pow.f64 (.f64 -1 (.f64 C (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))))) 2))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2))) (.f64 -1 (.f64 (.f64 A C) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2))))))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 B B) (.f64 C C)))) (.f64 (.f64 A A) (-.f64 1 (pow.f64 (.f64 (neg.f64 C) (sqrt.f64 (/.f64 1 (+.f64 (.f64 B B) (.f64 C C))))) 2)))) (+.f64 (sqrt.f64 (+.f64 (.f64 B B) (.f64 C C))) (neg.f64 (.f64 (.f64 A C) (sqrt.f64 (/.f64 1 (+.f64 (.f64 B B) (.f64 C C))))))))
(+.f64 (.f64 1/2 (.f64 (.f64 (pow.f64 A 3) (.f64 C (-.f64 1 (pow.f64 (.f64 -1 (.f64 C (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))))) 2)))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)) 3))))) (+.f64 (.f64 1/2 (.f64 (.f64 (pow.f64 A 2) (-.f64 1 (pow.f64 (.f64 -1 (.f64 C (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))))) 2))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2))) (.f64 -1 (.f64 (.f64 A C) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))))))))
(fma.f64 1/2 (.f64 (.f64 (.f64 (pow.f64 A 3) C) (-.f64 1 (pow.f64 (.f64 (neg.f64 C) (sqrt.f64 (/.f64 1 (+.f64 (.f64 B B) (.f64 C C))))) 2))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 B B) (.f64 C C)) 3)))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 B B) (.f64 C C)))) (.f64 (.f64 A A) (-.f64 1 (pow.f64 (.f64 (neg.f64 C) (sqrt.f64 (/.f64 1 (+.f64 (.f64 B B) (.f64 C C))))) 2)))) (+.f64 (sqrt.f64 (+.f64 (.f64 B B) (.f64 C C))) (neg.f64 (.f64 (.f64 A C) (sqrt.f64 (/.f64 1 (+.f64 (.f64 B B) (.f64 C C)))))))))
A
(+.f64 A (*.f64 -1 C))
(-.f64 A C)
(+.f64 A (+.f64 (.f64 -1 C) (.f64 1/2 (/.f64 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)) (pow.f64 (*.f64 -1 C) 2)) A))))
(+.f64 (-.f64 A C) (.f64 1/2 (/.f64 (+.f64 (.f64 B B) (-.f64 (*.f64 C C) (pow.f64 (neg.f64 C) 2))) A)))
(+.f64 (-.f64 A C) (.f64 1/2 (/.f64 (+.f64 (.f64 C C) (-.f64 (*.f64 B B) (pow.f64 (neg.f64 C) 2))) A)))
(+.f64 A (+.f64 (.f64 -1 C) (+.f64 (.f64 1/2 (/.f64 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)) (pow.f64 (.f64 -1 C) 2)) A)) (.f64 1/2 (/.f64 (.f64 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)) (pow.f64 (.f64 -1 C) 2)) C) (pow.f64 A 2))))))
(+.f64 (-.f64 A C) (.f64 1/2 (+.f64 (/.f64 (+.f64 (.f64 B B) (-.f64 (.f64 C C) (pow.f64 (neg.f64 C) 2))) A) (/.f64 (+.f64 (.f64 B B) (-.f64 (.f64 C C) (pow.f64 (neg.f64 C) 2))) (/.f64 (.f64 A A) C)))))
(+.f64 (-.f64 A C) (.f64 1/2 (+.f64 (/.f64 (+.f64 (.f64 C C) (-.f64 (.f64 B B) (pow.f64 (neg.f64 C) 2))) A) (.f64 (/.f64 (+.f64 (.f64 C C) (-.f64 (.f64 B B) (pow.f64 (neg.f64 C) 2))) (*.f64 A A)) C))))
(*.f64 -1 A)
(neg.f64 A)
(+.f64 C (*.f64 -1 A))
(+.f64 C (neg.f64 A))
(+.f64 C (+.f64 (.f64 -1/2 (/.f64 (pow.f64 B 2) A)) (.f64 -1 A)))
(+.f64 C (fma.f64 -1/2 (/.f64 (*.f64 B B) A) (neg.f64 A)))
(+.f64 C (+.f64 (.f64 -1/2 (/.f64 (.f64 C (pow.f64 B 2)) (pow.f64 A 2))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 B 2) A)) (.f64 -1 A))))
(+.f64 C (fma.f64 -1/2 (/.f64 C (/.f64 (.f64 A A) (.f64 B B))) (fma.f64 -1/2 (/.f64 (*.f64 B B) A) (neg.f64 A))))
(+.f64 C (fma.f64 -1/2 (.f64 (/.f64 C (.f64 A A)) (.f64 B B)) (fma.f64 -1/2 (/.f64 (.f64 B B) A) (neg.f64 A))))
(sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))
(sqrt.f64 (+.f64 (.f64 B B) (.f64 A A)))
(+.f64 (.f64 -1 (.f64 (*.f64 A C) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))))) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))
(fma.f64 -1 (.f64 (.f64 A C) (sqrt.f64 (/.f64 1 (+.f64 (.f64 B B) (.f64 A A))))) (sqrt.f64 (+.f64 (.f64 B B) (.f64 A A))))
(fma.f64 -1 (.f64 A (.f64 C (sqrt.f64 (/.f64 1 (+.f64 (.f64 B B) (.f64 A A)))))) (sqrt.f64 (+.f64 (.f64 B B) (.f64 A A))))
(+.f64 (.f64 -1 (.f64 (.f64 A C) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))) (.f64 1/2 (.f64 (.f64 (-.f64 1 (pow.f64 (.f64 -1 (.f64 A (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))))) 2)) (pow.f64 C 2)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))))))
(+.f64 (fma.f64 -1 (.f64 (.f64 A C) (sqrt.f64 (/.f64 1 (+.f64 (.f64 B B) (.f64 A A))))) (sqrt.f64 (+.f64 (.f64 B B) (.f64 A A)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 B B) (.f64 A A)))) (.f64 (.f64 C C) (-.f64 1 (pow.f64 (.f64 (neg.f64 A) (sqrt.f64 (/.f64 1 (+.f64 (.f64 B B) (*.f64 A A))))) 2))))))
(+.f64 (fma.f64 -1 (.f64 A (.f64 C (sqrt.f64 (/.f64 1 (+.f64 (.f64 B B) (.f64 A A)))))) (sqrt.f64 (+.f64 (.f64 B B) (.f64 A A)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 B B) (.f64 A A)))) (.f64 (.f64 C C) (-.f64 1 (pow.f64 (.f64 (neg.f64 A) (sqrt.f64 (/.f64 1 (+.f64 (.f64 B B) (*.f64 A A))))) 2))))))
(+.f64 (.f64 -1 (.f64 (.f64 A C) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))))) (+.f64 (.f64 1/2 (.f64 (.f64 A (.f64 (pow.f64 C 3) (-.f64 1 (pow.f64 (.f64 -1 (.f64 A (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))))) 2)))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)) 3))))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))) (.f64 1/2 (.f64 (.f64 (-.f64 1 (pow.f64 (.f64 -1 (.f64 A (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))))) 2)) (pow.f64 C 2)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))))))))
(fma.f64 -1 (.f64 (.f64 A C) (sqrt.f64 (/.f64 1 (+.f64 (.f64 B B) (.f64 A A))))) (fma.f64 1/2 (.f64 A (.f64 (.f64 (-.f64 1 (pow.f64 (.f64 (neg.f64 A) (sqrt.f64 (/.f64 1 (+.f64 (.f64 B B) (.f64 A A))))) 2)) (pow.f64 C 3)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 B B) (.f64 A A)) 3))))) (+.f64 (sqrt.f64 (+.f64 (.f64 B B) (.f64 A A))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 B B) (.f64 A A)))) (.f64 (.f64 C C) (-.f64 1 (pow.f64 (.f64 (neg.f64 A) (sqrt.f64 (/.f64 1 (+.f64 (.f64 B B) (*.f64 A A))))) 2))))))))
(fma.f64 -1 (.f64 A (.f64 C (sqrt.f64 (/.f64 1 (+.f64 (.f64 B B) (.f64 A A)))))) (fma.f64 1/2 (.f64 (.f64 A (.f64 (-.f64 1 (pow.f64 (.f64 (neg.f64 A) (sqrt.f64 (/.f64 1 (+.f64 (.f64 B B) (.f64 A A))))) 2)) (pow.f64 C 3))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 B B) (.f64 A A)) 3)))) (+.f64 (sqrt.f64 (+.f64 (.f64 B B) (.f64 A A))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 B B) (.f64 A A)))) (.f64 (.f64 C C) (-.f64 1 (pow.f64 (.f64 (neg.f64 A) (sqrt.f64 (/.f64 1 (+.f64 (.f64 B B) (*.f64 A A))))) 2))))))))
C
(+.f64 C (*.f64 -1 A))
(+.f64 C (neg.f64 A))
(+.f64 C (+.f64 (.f64 1/2 (/.f64 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)) (pow.f64 (.f64 -1 A) 2)) C)) (*.f64 -1 A)))
(+.f64 C (fma.f64 1/2 (/.f64 (-.f64 (+.f64 (.f64 B B) (.f64 A A)) (pow.f64 (neg.f64 A) 2)) C) (neg.f64 A)))
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(cbrt.f64 (pow.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (*.f64 F (+.f64 A (-.f64 C (sqrt.f64 (fma.f64 B B (pow.f64 (-.f64 A C) 2)))))))) 3/2))
(cbrt.f64 (pow.f64 (.f64 2 (.f64 (.f64 F (fma.f64 B B (.f64 A (*.f64 C -4)))) (+.f64 A (-.f64 C (sqrt.f64 (fma.f64 B B (pow.f64 (-.f64 A C) 2))))))) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (fma.f64 B B (.f64 (*.f64 A C) -4)) F) (+.f64 A (-.f64 C (sqrt.f64 (fma.f64 B B (pow.f64 (-.f64 A C) 2))))))))))
(sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (*.f64 F (+.f64 A (-.f64 C (sqrt.f64 (fma.f64 B B (pow.f64 (-.f64 A C) 2)))))))))
(sqrt.f64 (.f64 2 (.f64 (.f64 F (fma.f64 B B (.f64 A (*.f64 C -4)))) (+.f64 A (-.f64 C (sqrt.f64 (fma.f64 B B (pow.f64 (-.f64 A C) 2))))))))
(exp.f64 (log.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (fma.f64 B B (.f64 (*.f64 A C) -4)) F) (+.f64 A (-.f64 C (sqrt.f64 (fma.f64 B B (pow.f64 (-.f64 A C) 2))))))))))
(sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (*.f64 F (+.f64 A (-.f64 C (sqrt.f64 (fma.f64 B B (pow.f64 (-.f64 A C) 2)))))))))
(sqrt.f64 (.f64 2 (.f64 (.f64 F (fma.f64 B B (.f64 A (*.f64 C -4)))) (+.f64 A (-.f64 C (sqrt.f64 (fma.f64 B B (pow.f64 (-.f64 A C) 2))))))))
(exp.f64 (.f64 (log.f64 (.f64 2 (.f64 (.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) F) (+.f64 A (-.f64 C (sqrt.f64 (fma.f64 B B (pow.f64 (-.f64 A C) 2)))))))) 1/2))
(sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (*.f64 F (+.f64 A (-.f64 C (sqrt.f64 (fma.f64 B B (pow.f64 (-.f64 A C) 2)))))))))
(sqrt.f64 (.f64 2 (.f64 (.f64 F (fma.f64 B B (.f64 A (*.f64 C -4)))) (+.f64 A (-.f64 C (sqrt.f64 (fma.f64 B B (pow.f64 (-.f64 A C) 2))))))))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) F) (+.f64 A (-.f64 C (sqrt.f64 (fma.f64 B B (pow.f64 (-.f64 A C) 2))))))))) 1))
(sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (*.f64 F (+.f64 A (-.f64 C (sqrt.f64 (fma.f64 B B (pow.f64 (-.f64 A C) 2)))))))))
(sqrt.f64 (.f64 2 (.f64 (.f64 F (fma.f64 B B (.f64 A (*.f64 C -4)))) (+.f64 A (-.f64 C (sqrt.f64 (fma.f64 B B (pow.f64 (-.f64 A C) 2))))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (fma.f64 B B (.f64 (*.f64 A C) -4)) F) (+.f64 A (-.f64 C (sqrt.f64 (fma.f64 B B (pow.f64 (-.f64 A C) 2))))))))))
(sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (*.f64 F (+.f64 A (-.f64 C (sqrt.f64 (fma.f64 B B (pow.f64 (-.f64 A C) 2)))))))))
(sqrt.f64 (.f64 2 (.f64 (.f64 F (fma.f64 B B (.f64 A (*.f64 C -4)))) (+.f64 A (-.f64 C (sqrt.f64 (fma.f64 B B (pow.f64 (-.f64 A C) 2))))))))
(+.f64 (.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) F) (.f64 F (fma.f64 (.f64 C (neg.f64 A)) 4 (.f64 A (*.f64 C 4)))))
(.f64 F (+.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (fma.f64 (.f64 C (neg.f64 A)) 4 (.f64 A (.f64 C 4)))))
(.f64 F (+.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (fma.f64 (.f64 C (neg.f64 A)) 4 (.f64 4 (.f64 A C)))))
(+.f64 (.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) F) (.f64 (fma.f64 (.f64 C (neg.f64 A)) 4 (.f64 A (*.f64 C 4))) F))
(.f64 F (+.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (fma.f64 (.f64 C (neg.f64 A)) 4 (.f64 A (.f64 C 4)))))
(.f64 F (+.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (fma.f64 (.f64 C (neg.f64 A)) 4 (.f64 4 (.f64 A C)))))
(+.f64 (.f64 F (.f64 B B)) (.f64 F (.f64 (*.f64 A C) -4)))
(.f64 F (fma.f64 B B (.f64 A (*.f64 C -4))))
(+.f64 (.f64 (.f64 B B) F) (.f64 (.f64 (*.f64 A C) -4) F))
(.f64 F (fma.f64 B B (.f64 A (*.f64 C -4))))
(/.f64 (.f64 F (-.f64 (pow.f64 B 4) (.f64 (pow.f64 (.f64 A C) 2) 16))) (+.f64 (.f64 B B) (.f64 A (.f64 C 4))))
(/.f64 (-.f64 (pow.f64 B 4) (.f64 (pow.f64 (.f64 A C) 2) 16)) (/.f64 (fma.f64 B B (.f64 A (.f64 C 4))) F))
(.f64 (/.f64 (-.f64 (pow.f64 B 4) (.f64 (pow.f64 (.f64 A C) 2) 16)) (fma.f64 B B (.f64 4 (*.f64 A C)))) F)
(/.f64 (.f64 F (-.f64 (pow.f64 B 6) (.f64 (pow.f64 (.f64 A C) 3) 64))) (+.f64 (pow.f64 B 4) (.f64 (.f64 A (.f64 C 4)) (+.f64 (.f64 B B) (.f64 A (*.f64 C 4))))))
(/.f64 F (/.f64 (+.f64 (pow.f64 B 4) (.f64 (.f64 A (.f64 C 4)) (fma.f64 B B (.f64 A (.f64 C 4))))) (-.f64 (pow.f64 B 6) (.f64 (pow.f64 (*.f64 A C) 3) 64))))
(.f64 (/.f64 (-.f64 (pow.f64 B 6) (.f64 (pow.f64 (.f64 A C) 3) 64)) (+.f64 (pow.f64 B 4) (.f64 (.f64 4 (.f64 A C)) (fma.f64 B B (.f64 4 (.f64 A C)))))) F)
(/.f64 (.f64 (-.f64 (pow.f64 B 4) (.f64 (pow.f64 (.f64 A C) 2) 16)) F) (+.f64 (.f64 B B) (.f64 A (.f64 C 4))))
(/.f64 (-.f64 (pow.f64 B 4) (.f64 (pow.f64 (.f64 A C) 2) 16)) (/.f64 (fma.f64 B B (.f64 A (.f64 C 4))) F))
(.f64 (/.f64 (-.f64 (pow.f64 B 4) (.f64 (pow.f64 (.f64 A C) 2) 16)) (fma.f64 B B (.f64 4 (*.f64 A C)))) F)
(/.f64 (.f64 (-.f64 (pow.f64 B 6) (.f64 (pow.f64 (.f64 A C) 3) 64)) F) (+.f64 (pow.f64 B 4) (.f64 (.f64 A (.f64 C 4)) (+.f64 (.f64 B B) (.f64 A (*.f64 C 4))))))
(/.f64 F (/.f64 (+.f64 (pow.f64 B 4) (.f64 (.f64 A (.f64 C 4)) (fma.f64 B B (.f64 A (.f64 C 4))))) (-.f64 (pow.f64 B 6) (.f64 (pow.f64 (*.f64 A C) 3) 64))))
(.f64 (/.f64 (-.f64 (pow.f64 B 6) (.f64 (pow.f64 (.f64 A C) 3) 64)) (+.f64 (pow.f64 B 4) (.f64 (.f64 4 (.f64 A C)) (fma.f64 B B (.f64 4 (.f64 A C)))))) F)
(pow.f64 (.f64 (fma.f64 B B (.f64 (*.f64 A C) -4)) F) 1)
(.f64 F (fma.f64 B B (.f64 A (*.f64 C -4))))
(pow.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 (*.f64 A C) -4)) F)) 2)
(pow.f64 (sqrt.f64 (.f64 F (fma.f64 B B (.f64 A (*.f64 C -4))))) 2)
(pow.f64 (cbrt.f64 (.f64 (fma.f64 B B (.f64 (*.f64 A C) -4)) F)) 3)
(.f64 F (fma.f64 B B (.f64 A (*.f64 C -4))))
(pow.f64 (pow.f64 (.f64 (fma.f64 B B (.f64 (*.f64 A C) -4)) F) 3) 1/3)
(.f64 F (fma.f64 B B (.f64 A (*.f64 C -4))))
(sqrt.f64 (pow.f64 (.f64 (fma.f64 B B (.f64 (*.f64 A C) -4)) F) 2))
(sqrt.f64 (pow.f64 (.f64 F (fma.f64 B B (.f64 A (*.f64 C -4)))) 2))
(log.f64 (pow.f64 (exp.f64 F) (fma.f64 B B (.f64 (.f64 A C) -4))))
(.f64 (fma.f64 B B (.f64 A (*.f64 C -4))) (log.f64 (exp.f64 F)))
(log.f64 (pow.f64 (exp.f64 F) (fma.f64 B B (.f64 A (.f64 C -4)))))
(cbrt.f64 (pow.f64 (.f64 (fma.f64 B B (.f64 (*.f64 A C) -4)) F) 3))
(.f64 F (fma.f64 B B (.f64 A (*.f64 C -4))))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 B B (.f64 (*.f64 A C) -4)) 3) (pow.f64 F 3)))
(.f64 F (fma.f64 B B (.f64 A (*.f64 C -4))))
(cbrt.f64 (.f64 (pow.f64 F 3) (pow.f64 (fma.f64 B B (.f64 (*.f64 A C) -4)) 3)))
(.f64 F (fma.f64 B B (.f64 A (*.f64 C -4))))
(expm1.f64 (log1p.f64 (.f64 (fma.f64 B B (.f64 (*.f64 A C) -4)) F)))
(.f64 F (fma.f64 B B (.f64 A (*.f64 C -4))))
(exp.f64 (log.f64 (.f64 (fma.f64 B B (.f64 (*.f64 A C) -4)) F)))
(.f64 F (fma.f64 B B (.f64 A (*.f64 C -4))))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) F)) 1))
(.f64 F (fma.f64 B B (.f64 A (*.f64 C -4))))
(log1p.f64 (expm1.f64 (.f64 (fma.f64 B B (.f64 (*.f64 A C) -4)) F)))
(.f64 F (fma.f64 B B (.f64 A (*.f64 C -4))))

localize48.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(-.f64 C (-.f64 (hypot.f64 B (-.f64 A C)) A))
✓	2.8b	(.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) (.f64 F (-.f64 C (-.f64 (hypot.f64 B (-.f64 A C)) A))))
✓	17.8b	(sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) (*.f64 F (-.f64 C (-.f64 (hypot.f64 B (-.f64 A C)) A))))))
✓	24.3b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) (.f64 F (-.f64 C (-.f64 (hypot.f64 B (-.f64 A C)) A))))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))

Compiler

Compiled 183 to 63 computations (65.6% saved)

series51.0ms (0.1%)

Counts

4 → 124

Calls

45 calls:

Time	Variable		Point	Expression
8.0ms	B	@	0	(.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) (.f64 F (-.f64 C (-.f64 (hypot.f64 B (-.f64 A C)) A))))
3.0ms	A	@	0	(sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) (*.f64 F (-.f64 C (-.f64 (hypot.f64 B (-.f64 A C)) A))))))
3.0ms	C	@	0	(sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) (*.f64 F (-.f64 C (-.f64 (hypot.f64 B (-.f64 A C)) A))))))
3.0ms	F	@	-inf	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) (.f64 F (-.f64 C (-.f64 (hypot.f64 B (-.f64 A C)) A))))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
2.0ms	B	@	0	(sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) (*.f64 F (-.f64 C (-.f64 (hypot.f64 B (-.f64 A C)) A))))))

rewrite134.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

530×	`add-sqr-sqrt`
514×	`*-un-lft-identity`
512×	`pow1`
496×	`associate-+l+`
488×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	246
1	507	242
2	7073	242

Stop Event

1×	node limit

Counts

4 → 204

Calls

Call 1

Inputs
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) (.f64 F (-.f64 C (-.f64 (hypot.f64 B (-.f64 A C)) A))))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
(sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) (*.f64 F (-.f64 C (-.f64 (hypot.f64 B (-.f64 A C)) A))))))
(.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) (.f64 F (-.f64 C (-.f64 (hypot.f64 B (-.f64 A C)) A))))
(-.f64 C (-.f64 (hypot.f64 B (-.f64 A C)) A))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (sqrt.f64 (.f64 2 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) F)))) (fma.f64 B B (.f64 A (.f64 -4 C)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 (.f64 2 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) F)))) (fma.f64 B B (.f64 A (.f64 -4 C)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (fma.f64 B B (.f64 A (.f64 -4 C)))) (/.f64 (sqrt.f64 (.f64 2 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) F)))) (fma.f64 B B (.f64 A (.f64 -4 C)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 2 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) F)))) (/.f64 1 (fma.f64 B B (.f64 A (.f64 -4 C)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 2 (.f64 (+.f64 A (-.f64 C 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simplify273.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1280×	`+-commutative`
1114×	`associate-/r*`
1038×	`*-commutative`
1010×	`associate-+r+`
950×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1346	43328
1	4316	43248

Stop Event

1×	node limit

Counts

328 → 604

Calls

Call 1

Inputs
(.f64 -1 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1/2)) (sqrt.f64 (/.f64 F A))))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1/2)) (sqrt.f64 (/.f64 F A)))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 A F)) (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 B 2) (-.f64 (.f64 1/8 (/.f64 F (.f64 A (.f64 (-.f64 A C) C)))) (.f64 1/8 (/.f64 F (.f64 (pow.f64 A 2) C)))))) (sqrt.f64 -1/2)))))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1/2)) (sqrt.f64 (/.f64 F A)))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 A F)) (/.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (.f64 -1/32 (/.f64 F (.f64 A (.f64 (pow.f64 (-.f64 A C) 3) C)))) (+.f64 (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 A F)) (/.f64 (-.f64 (.f64 1/8 (/.f64 F (.f64 (-.f64 A C) (.f64 A C)))) (.f64 1/8 (/.f64 F (.f64 (pow.f64 A 2) C)))) (sqrt.f64 -1/2)))) 2) (.f64 -1/4 (/.f64 (-.f64 (.f64 1/8 (/.f64 F (.f64 (-.f64 A C) (.f64 A C)))) (.f64 1/8 (/.f64 F (.f64 (pow.f64 A 2) C)))) (.f64 A C))))) (pow.f64 B 4))) (sqrt.f64 -1/2)))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 A F)) (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 B 2) (-.f64 (.f64 1/8 (/.f64 F (.f64 A (.f64 (-.f64 A C) C)))) (.f64 1/8 (/.f64 F (*.f64 (pow.f64 A 2) C)))))) (sqrt.f64 -1/2))))))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1/2)) (sqrt.f64 (/.f64 F A)))) (+.f64 (.f64 -1/2 (.f64 (/.f64 (.f64 (-.f64 (.f64 1/64 (/.f64 F (.f64 A (.f64 (pow.f64 (-.f64 A C) 5) C)))) (+.f64 (.f64 1/2 (/.f64 (.f64 A (.f64 (-.f64 (.f64 -1/32 (/.f64 F (.f64 (pow.f64 (-.f64 A C) 3) (.f64 A C)))) (+.f64 (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 A F)) (/.f64 (-.f64 (.f64 1/8 (/.f64 F (.f64 A (.f64 (-.f64 A C) C)))) (.f64 1/8 (/.f64 F (.f64 (pow.f64 A 2) C)))) (sqrt.f64 -1/2)))) 2) (.f64 -1/4 (/.f64 (-.f64 (.f64 1/8 (/.f64 F (.f64 A (.f64 (-.f64 A C) C)))) (.f64 1/8 (/.f64 F (.f64 (pow.f64 A 2) C)))) (.f64 A C))))) (-.f64 (.f64 1/8 (/.f64 F (.f64 (-.f64 A C) (.f64 A C)))) (.f64 1/8 (/.f64 F (.f64 (pow.f64 A 2) C)))))) (.f64 F (pow.f64 (sqrt.f64 -1/2) 2)))) (.f64 -1/4 (/.f64 (-.f64 (.f64 -1/32 (/.f64 F (.f64 (pow.f64 (-.f64 A C) 3) (.f64 A C)))) (.f64 -1/4 (/.f64 (-.f64 (.f64 1/8 (/.f64 F (.f64 A (.f64 (-.f64 A C) C)))) (.f64 1/8 (/.f64 F (.f64 (pow.f64 A 2) C)))) (.f64 A C)))) (.f64 A C))))) (.f64 (sqrt.f64 2) (pow.f64 B 6))) (sqrt.f64 -1/2)) (sqrt.f64 (/.f64 A F)))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 A F)) (/.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (.f64 -1/32 (/.f64 F (.f64 A (.f64 (pow.f64 (-.f64 A C) 3) C)))) (+.f64 (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 A F)) (/.f64 (-.f64 (.f64 1/8 (/.f64 F (.f64 (-.f64 A C) (.f64 A C)))) (.f64 1/8 (/.f64 F (.f64 (pow.f64 A 2) C)))) (sqrt.f64 -1/2)))) 2) (.f64 -1/4 (/.f64 (-.f64 (.f64 1/8 (/.f64 F (.f64 (-.f64 A C) (.f64 A C)))) (.f64 1/8 (/.f64 F (.f64 (pow.f64 A 2) C)))) (.f64 A C))))) (pow.f64 B 4))) (sqrt.f64 -1/2)))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 A F)) (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 B 2) (-.f64 (.f64 1/8 (/.f64 F (.f64 A (.f64 (-.f64 A C) C)))) (.f64 1/8 (/.f64 F (.f64 (pow.f64 A 2) C)))))) (sqrt.f64 -1/2)))))))
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(-.f64 (+.f64 A (+.f64 (.f64 -1/2 (/.f64 (.f64 A (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)) (pow.f64 (.f64 -1 A) 2))) (pow.f64 C 2))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (pow.f64 (.f64 1/2 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)) (pow.f64 (.f64 -1 A) 2))) 2) (.f64 -1 (.f64 (pow.f64 A 2) (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)) (pow.f64 (.f64 -1 A) 2))))) (pow.f64 C 3))) (.f64 -1/2 (/.f64 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)) (pow.f64 (.f64 -1 A) 2)) C))))) (.f64 -1 A))
(*.f64 2 C)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 B 2) C)) (.f64 2 C))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 B 2) C)) (+.f64 (.f64 1/2 (/.f64 (.f64 A (pow.f64 B 2)) (pow.f64 C 2))) (.f64 2 C)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 B 2) C)) (+.f64 (.f64 1/2 (/.f64 (.f64 A (pow.f64 B 2)) (pow.f64 C 2))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 A 2) (pow.f64 B 2))) (pow.f64 (.f64 1/2 (pow.f64 B 2)) 2)) (pow.f64 C 3))) (.f64 2 C))))
(*.f64 2 C)
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 B 2) (-.f64 A C))) (.f64 2 C))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 B 2) (-.f64 A C))) (+.f64 (.f64 2 C) (*.f64 1/8 (/.f64 (pow.f64 B 4) (pow.f64 (-.f64 A C) 3)))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 B 2) (-.f64 A C))) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 B 6) (pow.f64 (-.f64 A C) 5))) (+.f64 (.f64 2 C) (.f64 1/8 (/.f64 (pow.f64 B 4) (pow.f64 (-.f64 A C) 3))))))
(*.f64 -1 B)
(+.f64 A (+.f64 C (*.f64 -1 B)))
(+.f64 A (+.f64 C (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B)) (.f64 -1 B))))
(+.f64 A (+.f64 C (+.f64 (.f64 1/8 (/.f64 (pow.f64 (-.f64 A C) 4) (pow.f64 B 3))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B)) (*.f64 -1 B)))))
B
(+.f64 A (+.f64 C B))
(+.f64 A (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B)) (+.f64 C B)))
(+.f64 A (+.f64 (.f64 1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (-.f64 A C) 4) (pow.f64 B 3))) (+.f64 C B))))
(-.f64 C (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2))))
(-.f64 (+.f64 (.f64 A (-.f64 1 (.f64 -1 (*.f64 C (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))))))) C) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2))))
(-.f64 (+.f64 (.f64 A (-.f64 1 (.f64 -1 (.f64 C (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))))))) (+.f64 C (.f64 -1/2 (.f64 (.f64 (pow.f64 A 2) (-.f64 1 (pow.f64 (.f64 -1 (.f64 C (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))))) 2))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))))))) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2))))
(-.f64 (+.f64 (.f64 A (-.f64 1 (.f64 -1 (.f64 C (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))))))) (+.f64 (.f64 -1/2 (.f64 (.f64 (pow.f64 A 3) (.f64 C (-.f64 1 (pow.f64 (.f64 -1 (.f64 C (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))))) 2)))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)) 3))))) (+.f64 C (.f64 -1/2 (.f64 (.f64 (pow.f64 A 2) (-.f64 1 (pow.f64 (.f64 -1 (.f64 C (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))))) 2))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2))))))))) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2))))
(-.f64 C (*.f64 -1 C))
(-.f64 (+.f64 C (.f64 -1/2 (/.f64 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)) (pow.f64 (.f64 -1 C) 2)) A))) (*.f64 -1 C))
(-.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)) (pow.f64 (.f64 -1 C) 2)) C) (pow.f64 A 2))) (+.f64 C (.f64 -1/2 (/.f64 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)) (pow.f64 (.f64 -1 C) 2)) A)))) (.f64 -1 C))
(-.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)) (pow.f64 (.f64 -1 C) 2)) C) (pow.f64 A 2))) (+.f64 C (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -1 (.f64 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)) (pow.f64 (.f64 -1 C) 2)) (pow.f64 C 2))) (pow.f64 (.f64 1/2 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)) (pow.f64 (.f64 -1 C) 2))) 2)) (pow.f64 A 3))) (.f64 -1/2 (/.f64 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)) (pow.f64 (.f64 -1 C) 2)) A))))) (.f64 -1 C))
(*.f64 2 A)
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(+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 C 2) (pow.f64 B 2))) (pow.f64 (.f64 1/2 (pow.f64 B 2)) 2)) (pow.f64 A 3))) (+.f64 (.f64 2 A) (+.f64 (.f64 1/2 (/.f64 (.f64 C (pow.f64 B 2)) (pow.f64 A 2))) (.f64 1/2 (/.f64 (pow.f64 B 2) A)))))
(-.f64 0 (/.f64 (sqrt.f64 (.f64 2 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) F)))) (fma.f64 B B (.f64 A (*.f64 -4 C)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 (.f64 2 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) F)))) (fma.f64 B B (.f64 A (*.f64 -4 C)))))) 1)
(-.f64 (/.f64 0 (fma.f64 B B (.f64 A (.f64 -4 C)))) (/.f64 (sqrt.f64 (.f64 2 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) F)))) (fma.f64 B B (.f64 A (*.f64 -4 C)))))
(.f64 (sqrt.f64 (.f64 2 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) F)))) (/.f64 1 (fma.f64 B B (.f64 A (.f64 -4 C)))))
(.f64 (sqrt.f64 (.f64 2 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) F)))) (/.f64 1 (neg.f64 (fma.f64 B B (.f64 A (.f64 -4 C))))))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) F)))) (fma.f64 B B (.f64 A (.f64 -4 C)))) 1)
(.f64 1 (/.f64 (sqrt.f64 (.f64 2 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) F)))) (fma.f64 B B (.f64 A (.f64 -4 C)))))
(.f64 (/.f64 (pow.f64 (.f64 2 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) F))) 1/4) (hypot.f64 B (sqrt.f64 (.f64 A (.f64 -4 C))))) (/.f64 (pow.f64 (.f64 2 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) F))) 1/4) (hypot.f64 B (sqrt.f64 (.f64 A (*.f64 -4 C))))))
(.f64 (pow.f64 (.f64 2 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) F))) 1/4) (.f64 (pow.f64 (.f64 2 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) F))) 1/4) (/.f64 1 (fma.f64 B B (.f64 A (.f64 -4 C))))))
(.f64 (cbrt.f64 (.f64 2 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) F)))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 2 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) F))))) (/.f64 1 (fma.f64 B B (.f64 A (.f64 -4 C))))))
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 2 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) F)))) (fma.f64 B B (.f64 A (.f64 -4 C))))) (cbrt.f64 (/.f64 (.f64 2 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) F))) (pow.f64 (fma.f64 B B (.f64 A (*.f64 -4 C))) 2))))
(.f64 (cbrt.f64 (/.f64 (.f64 2 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) F))) (pow.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) 2))) (cbrt.f64 (/.f64 (sqrt.f64 (.f64 2 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) F)))) (fma.f64 B B (.f64 A (*.f64 -4 C))))))
(.f64 -1 (/.f64 (sqrt.f64 (.f64 2 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) F)))) (fma.f64 B B (.f64 A (.f64 -4 C)))))
(.f64 (/.f64 1 (fma.f64 B B (.f64 A (.f64 -4 C)))) (sqrt.f64 (.f64 2 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) F)))))
(.f64 (/.f64 1 (hypot.f64 B (sqrt.f64 (.f64 A (.f64 -4 C))))) (/.f64 (sqrt.f64 (.f64 2 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) F)))) (hypot.f64 B (sqrt.f64 (.f64 A (.f64 -4 C))))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 B B (.f64 A (.f64 -4 C)))) 2)) (/.f64 (sqrt.f64 (.f64 2 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) F)))) (cbrt.f64 (fma.f64 B B (.f64 A (.f64 -4 C))))))
(.f64 (/.f64 (sqrt.f64 2) 1) (/.f64 (sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) F))) (fma.f64 B B (.f64 A (*.f64 -4 C)))))
(.f64 (/.f64 (sqrt.f64 2) (hypot.f64 B (sqrt.f64 (.f64 A (.f64 -4 C))))) (/.f64 (sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) F))) (hypot.f64 B (sqrt.f64 (.f64 A (*.f64 -4 C))))))
(.f64 (/.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 (fma.f64 B B (.f64 A (.f64 -4 C)))) 2)) (/.f64 (sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) F))) (cbrt.f64 (fma.f64 B B (.f64 A (*.f64 -4 C))))))
(.f64 (/.f64 (cbrt.f64 (.f64 2 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) F)))) 1) (/.f64 (cbrt.f64 (sqrt.f64 (.f64 2 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) F))))) (fma.f64 B B (.f64 A (*.f64 -4 C)))))
(.f64 (/.f64 (cbrt.f64 (.f64 2 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) F)))) (hypot.f64 B (sqrt.f64 (.f64 A (.f64 -4 C))))) (/.f64 (cbrt.f64 (sqrt.f64 (.f64 2 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) F))))) (hypot.f64 B (sqrt.f64 (.f64 A (*.f64 -4 C))))))
(.f64 (/.f64 (cbrt.f64 (.f64 2 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) F)))) (pow.f64 (cbrt.f64 (fma.f64 B B (.f64 A (.f64 -4 C)))) 2)) (cbrt.f64 (/.f64 (sqrt.f64 (.f64 2 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) F)))) (fma.f64 B B (.f64 A (*.f64 -4 C))))))
(.f64 (/.f64 (pow.f64 (.f64 2 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) F))) 1/4) 1) (/.f64 (pow.f64 (.f64 2 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) F))) 1/4) (fma.f64 B B (.f64 A (*.f64 -4 C)))))
(.f64 (/.f64 (pow.f64 (.f64 2 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) F))) 1/4) (pow.f64 (cbrt.f64 (fma.f64 B B (.f64 A (.f64 -4 C)))) 2)) (/.f64 (pow.f64 (.f64 2 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) F))) 1/4) (cbrt.f64 (fma.f64 B B (.f64 A (*.f64 -4 C))))))
(.f64 (/.f64 -1 (hypot.f64 B (sqrt.f64 (.f64 A (.f64 -4 C))))) (/.f64 (sqrt.f64 (.f64 2 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) F)))) (hypot.f64 B (sqrt.f64 (.f64 A (.f64 -4 C))))))
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(pow.f64 (/.f64 (pow.f64 (.f64 2 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) F))) 1/4) (hypot.f64 B (sqrt.f64 (.f64 A (*.f64 -4 C))))) 2)
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 2 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) F)))) (fma.f64 B B (.f64 A (*.f64 -4 C))))) 3)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 2 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) F)))) (fma.f64 B B (.f64 A (*.f64 -4 C)))) 3) 1/3)
(pow.f64 (/.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) (sqrt.f64 (.f64 2 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 (fma.f64 B B (.f64 A (*.f64 -4 C))) F))))) -1)
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(sqrt.f64 (/.f64 (.f64 2 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) F))) (pow.f64 (fma.f64 B B (.f64 A (*.f64 -4 C))) 2)))
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(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 2 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 (fma.f64 B B (.f64 A (*.f64 -4 C))) F)))))) 1)
(.f64 (sqrt.f64 (.f64 2 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) F)))) 1)
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(+.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A))) (sqrt.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A)) (-.f64 (hypot.f64 B (-.f64 A C)) A)) (fma.f64 (neg.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A)) 1 (-.f64 (hypot.f64 B (-.f64 A C)) A))))
(+.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A))) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A)) 2) (-.f64 (hypot.f64 B (-.f64 A C)) A)) (fma.f64 (neg.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A)) 1 (-.f64 (hypot.f64 B (-.f64 A C)) A))))
(+.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (+.f64 (fma.f64 (neg.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A)) 1 (-.f64 (hypot.f64 B (-.f64 A C)) A)) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A))) (sqrt.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A)) (-.f64 (hypot.f64 B (-.f64 A C)) A))))
(+.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A))) (sqrt.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A)) (-.f64 (hypot.f64 B (-.f64 A C)) A)) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A))) (sqrt.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A)) (-.f64 (hypot.f64 B (-.f64 A C)) A))))
(+.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A))) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A)) 2) (-.f64 (hypot.f64 B (-.f64 A C)) A)) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A))) (sqrt.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A)) (-.f64 (hypot.f64 B (-.f64 A C)) A))))
(+.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (+.f64 (fma.f64 (neg.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A)) 1 (-.f64 (hypot.f64 B (-.f64 A C)) A)) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A))) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A)) 2) (-.f64 (hypot.f64 B (-.f64 A C)) A))))
(+.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A))) (sqrt.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A)) (-.f64 (hypot.f64 B (-.f64 A C)) A)) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A))) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A)) 2) (-.f64 (hypot.f64 B (-.f64 A C)) A))))
(+.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A))) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A)) 2) (-.f64 (hypot.f64 B (-.f64 A C)) A)) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A))) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A)) 2) (-.f64 (hypot.f64 B (-.f64 A C)) A))))
(+.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) A)
(+.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) (neg.f64 (neg.f64 A)))
(+.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) (+.f64 A (fma.f64 (neg.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A)) 1 (-.f64 (hypot.f64 B (-.f64 A C)) A))))
(+.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) (+.f64 A (fma.f64 (neg.f64 (sqrt.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A))) (sqrt.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A)) (-.f64 (hypot.f64 B (-.f64 A C)) A))))
(+.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) (+.f64 A (fma.f64 (neg.f64 (cbrt.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A))) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A)) 2) (-.f64 (hypot.f64 B (-.f64 A C)) A))))
(+.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) (+.f64 (fma.f64 (neg.f64 (hypot.f64 B (-.f64 A C))) 1 (hypot.f64 B (-.f64 A C))) A))
(+.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (hypot.f64 B (-.f64 A C)))) (sqrt.f64 (hypot.f64 B (-.f64 A C))) (hypot.f64 B (-.f64 A C))) A))
(+.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 B (-.f64 A C)))) (pow.f64 (cbrt.f64 (hypot.f64 B (-.f64 A C))) 2) (hypot.f64 B (-.f64 A C))) A))
(+.f64 (+.f64 A C) (neg.f64 (hypot.f64 B (-.f64 A C))))
(+.f64 (+.f64 A C) (*.f64 -1 (hypot.f64 B (-.f64 A C))))
(+.f64 (+.f64 A C) (*.f64 (neg.f64 (sqrt.f64 (hypot.f64 B (-.f64 A C)))) (sqrt.f64 (hypot.f64 B (-.f64 A C)))))
(+.f64 (+.f64 A C) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (hypot.f64 B (-.f64 A C))) 2)) (cbrt.f64 (hypot.f64 B (-.f64 A C)))))
(+.f64 (neg.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A)) C)
(+.f64 (neg.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A)) (+.f64 C (fma.f64 (neg.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A)) 1 (-.f64 (hypot.f64 B (-.f64 A C)) A))))
(+.f64 (neg.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A)) (+.f64 C (fma.f64 (neg.f64 (sqrt.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A))) (sqrt.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A)) (-.f64 (hypot.f64 B (-.f64 A C)) A))))
(+.f64 (neg.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A)) (+.f64 C (fma.f64 (neg.f64 (cbrt.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A))) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A)) 2) (-.f64 (hypot.f64 B (-.f64 A C)) A))))
(+.f64 (*.f64 (neg.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A)) 1) C)
(+.f64 (*.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) 1) A)
(+.f64 (*.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) 1) (+.f64 A (fma.f64 (neg.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A)) 1 (-.f64 (hypot.f64 B (-.f64 A C)) A))))
(+.f64 (*.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) 1) (+.f64 A (fma.f64 (neg.f64 (sqrt.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A))) (sqrt.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A)) (-.f64 (hypot.f64 B (-.f64 A C)) A))))
(+.f64 (*.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) 1) (+.f64 A (fma.f64 (neg.f64 (cbrt.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A))) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A)) 2) (-.f64 (hypot.f64 B (-.f64 A C)) A))))
(+.f64 (neg.f64 (hypot.f64 B (-.f64 A C))) (+.f64 (neg.f64 (neg.f64 A)) C))
(+.f64 (fma.f64 (neg.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A)) 1 (-.f64 (hypot.f64 B (-.f64 A C)) A)) (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A))) (sqrt.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A)) (-.f64 (hypot.f64 B (-.f64 A C)) A)) (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A))) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A)) 2) (-.f64 (hypot.f64 B (-.f64 A C)) A)) (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))
(*.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) 1)
(*.f64 1 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))
(*.f64 (sqrt.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))) (sqrt.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))
(*.f64 (cbrt.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))) (pow.f64 (cbrt.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))) 2) (cbrt.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))
(.f64 (-.f64 (.f64 C C) (pow.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A) 2)) (/.f64 1 (+.f64 C (-.f64 (hypot.f64 B (-.f64 A C)) A))))
(.f64 (-.f64 (pow.f64 C 3) (pow.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A) 3)) (/.f64 1 (fma.f64 C C (.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A) (+.f64 C (-.f64 (hypot.f64 B (-.f64 A C)) A))))))
(*.f64 (+.f64 (sqrt.f64 C) (sqrt.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A))) (-.f64 (sqrt.f64 C) (sqrt.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A))))
(/.f64 1 (/.f64 (+.f64 C (-.f64 (hypot.f64 B (-.f64 A C)) A)) (-.f64 (*.f64 C C) (pow.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A) 2))))
(/.f64 1 (/.f64 (fma.f64 C C (*.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A) (+.f64 C (-.f64 (hypot.f64 B (-.f64 A C)) A)))) (-.f64 (pow.f64 C 3) (pow.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A) 3))))
(/.f64 (-.f64 (*.f64 C C) (pow.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A) 2)) (+.f64 C (-.f64 (hypot.f64 B (-.f64 A C)) A)))
(/.f64 (-.f64 (pow.f64 C 3) (pow.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A) 3)) (fma.f64 C C (*.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A) (+.f64 C (-.f64 (hypot.f64 B (-.f64 A C)) A)))))
(/.f64 (-.f64 (.f64 C C) (.f64 (neg.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A)) (neg.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A)))) (-.f64 C (neg.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A))))
(/.f64 (-.f64 (.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 A A)) (-.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) A))
(/.f64 (+.f64 (pow.f64 C 3) (pow.f64 (neg.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A)) 3)) (+.f64 (.f64 C C) (-.f64 (.f64 (neg.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A)) (neg.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A))) (*.f64 C (neg.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A))))))
(/.f64 (+.f64 (pow.f64 A 3) (pow.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) 3)) (+.f64 (.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) (-.f64 C (hypot.f64 B (-.f64 A C)))) (-.f64 (.f64 A A) (*.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) A))))
(/.f64 (neg.f64 (-.f64 (*.f64 C C) (pow.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A) 2))) (neg.f64 (+.f64 C (-.f64 (hypot.f64 B (-.f64 A C)) A))))
(/.f64 (neg.f64 (-.f64 (pow.f64 C 3) (pow.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A) 3))) (neg.f64 (fma.f64 C C (*.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A) (+.f64 C (-.f64 (hypot.f64 B (-.f64 A C)) A))))))
(pow.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) 1)
(pow.f64 (sqrt.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))) 2)
(pow.f64 (cbrt.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))) 3)
(pow.f64 (pow.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) 2))
(log.f64 (exp.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))))
(cbrt.f64 (pow.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) 3))
(expm1.f64 (log1p.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))
(exp.f64 (log.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))
(exp.f64 (*.f64 (log.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))) 1))
(log1p.f64 (expm1.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))
(fma.f64 1 C (neg.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A)))
(fma.f64 (sqrt.f64 C) (sqrt.f64 C) (neg.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A)))
(fma.f64 (pow.f64 (cbrt.f64 C) 2) (cbrt.f64 C) (neg.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A)))

Outputs
(.f64 -1 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1/2)) (sqrt.f64 (/.f64 F A))))
(neg.f64 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1/2)) (sqrt.f64 (/.f64 F A))))
(neg.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1/2) (sqrt.f64 (/.f64 F A)))))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1/2)) (sqrt.f64 (/.f64 F A)))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 A F)) (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 B 2) (-.f64 (.f64 1/8 (/.f64 F (.f64 A (.f64 (-.f64 A C) C)))) (.f64 1/8 (/.f64 F (.f64 (pow.f64 A 2) C)))))) (sqrt.f64 -1/2)))))
(fma.f64 -1 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1/2)) (sqrt.f64 (/.f64 F A))) (.f64 (.f64 -1/2 (sqrt.f64 (/.f64 A F))) (/.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 B B)) (.f64 1/8 (-.f64 (/.f64 (/.f64 F A) (.f64 C (-.f64 A C))) (/.f64 (/.f64 F (.f64 A A)) C)))) (sqrt.f64 -1/2))))
(fma.f64 -1 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1/2) (sqrt.f64 (/.f64 F A)))) (.f64 -1/2 (/.f64 (.f64 (sqrt.f64 (/.f64 A F)) (sqrt.f64 2)) (/.f64 (/.f64 (sqrt.f64 -1/2) (.f64 B B)) (.f64 1/8 (-.f64 (/.f64 F (.f64 A (.f64 C (-.f64 A C)))) (/.f64 F (.f64 C (.f64 A A)))))))))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1/2)) (sqrt.f64 (/.f64 F A)))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 A F)) (/.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (.f64 -1/32 (/.f64 F (.f64 A (.f64 (pow.f64 (-.f64 A C) 3) C)))) (+.f64 (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 A F)) (/.f64 (-.f64 (.f64 1/8 (/.f64 F (.f64 (-.f64 A C) (.f64 A C)))) (.f64 1/8 (/.f64 F (.f64 (pow.f64 A 2) C)))) (sqrt.f64 -1/2)))) 2) (.f64 -1/4 (/.f64 (-.f64 (.f64 1/8 (/.f64 F (.f64 (-.f64 A C) (.f64 A C)))) (.f64 1/8 (/.f64 F (.f64 (pow.f64 A 2) C)))) (.f64 A C))))) (pow.f64 B 4))) (sqrt.f64 -1/2)))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 A F)) (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 B 2) (-.f64 (.f64 1/8 (/.f64 F (.f64 A (.f64 (-.f64 A C) C)))) (.f64 1/8 (/.f64 F (*.f64 (pow.f64 A 2) C)))))) (sqrt.f64 -1/2))))))
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(fma.f64 1/2 (/.f64 (.f64 B B) C) (fma.f64 1/2 (/.f64 (.f64 A (.f64 B B)) (.f64 C C)) (fma.f64 -1/2 (/.f64 (fma.f64 -1 (.f64 (.f64 B B) (.f64 A A)) (pow.f64 (.f64 (.f64 B B) 1/2) 2)) (pow.f64 C 3)) (.f64 2 C))))
(*.f64 2 C)
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 B 2) (-.f64 A C))) (.f64 2 C))
(fma.f64 -1/2 (/.f64 (.f64 B B) (-.f64 A C)) (.f64 2 C))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 B 2) (-.f64 A C))) (+.f64 (.f64 2 C) (*.f64 1/8 (/.f64 (pow.f64 B 4) (pow.f64 (-.f64 A C) 3)))))
(fma.f64 -1/2 (/.f64 (.f64 B B) (-.f64 A C)) (fma.f64 2 C (/.f64 (.f64 1/8 (pow.f64 B 4)) (pow.f64 (-.f64 A C) 3))))
(fma.f64 -1/2 (/.f64 (.f64 B B) (-.f64 A C)) (fma.f64 2 C (.f64 1/8 (/.f64 (pow.f64 B 4) (pow.f64 (-.f64 A C) 3)))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 B 2) (-.f64 A C))) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 B 6) (pow.f64 (-.f64 A C) 5))) (+.f64 (.f64 2 C) (.f64 1/8 (/.f64 (pow.f64 B 4) (pow.f64 (-.f64 A C) 3))))))
(fma.f64 -1/2 (/.f64 (.f64 B B) (-.f64 A C)) (fma.f64 -1/16 (/.f64 (pow.f64 B 6) (pow.f64 (-.f64 A C) 5)) (fma.f64 2 C (/.f64 (.f64 1/8 (pow.f64 B 4)) (pow.f64 (-.f64 A C) 3)))))
(fma.f64 -1/2 (/.f64 (.f64 B B) (-.f64 A C)) (fma.f64 -1/16 (/.f64 (pow.f64 B 6) (pow.f64 (-.f64 A C) 5)) (fma.f64 2 C (.f64 1/8 (/.f64 (pow.f64 B 4) (pow.f64 (-.f64 A C) 3))))))
(*.f64 -1 B)
(neg.f64 B)
(+.f64 A (+.f64 C (*.f64 -1 B)))
(+.f64 (+.f64 A C) (neg.f64 B))
(+.f64 A (+.f64 C (neg.f64 B)))
(+.f64 A (+.f64 C (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B)) (.f64 -1 B))))
(+.f64 (+.f64 A C) (fma.f64 -1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B) (neg.f64 B)))
(+.f64 A (+.f64 C (fma.f64 -1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B) (neg.f64 B))))
(+.f64 A (+.f64 C (+.f64 (.f64 1/8 (/.f64 (pow.f64 (-.f64 A C) 4) (pow.f64 B 3))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B)) (*.f64 -1 B)))))
(+.f64 (+.f64 A C) (fma.f64 1/8 (/.f64 (pow.f64 (-.f64 A C) 4) (pow.f64 B 3)) (fma.f64 -1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B) (neg.f64 B))))
(+.f64 A (+.f64 C (fma.f64 1/8 (/.f64 (pow.f64 (-.f64 A C) 4) (pow.f64 B 3)) (fma.f64 -1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B) (neg.f64 B)))))
B
(+.f64 A (+.f64 C B))
(+.f64 (+.f64 A C) B)
(+.f64 A (+.f64 B C))
(+.f64 A (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B)) (+.f64 C B)))
(+.f64 A (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B) (+.f64 B C)))
(+.f64 A (+.f64 (.f64 1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (-.f64 A C) 4) (pow.f64 B 3))) (+.f64 C B))))
(+.f64 A (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B) (fma.f64 -1/8 (/.f64 (pow.f64 (-.f64 A C) 4) (pow.f64 B 3)) (+.f64 B C))))
(-.f64 C (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2))))
(-.f64 C (sqrt.f64 (+.f64 (.f64 B B) (.f64 C C))))
(-.f64 (+.f64 (.f64 A (-.f64 1 (.f64 -1 (*.f64 C (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))))))) C) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2))))
(-.f64 (fma.f64 A (-.f64 1 (.f64 (neg.f64 C) (sqrt.f64 (/.f64 1 (+.f64 (.f64 B B) (.f64 C C)))))) C) (sqrt.f64 (+.f64 (.f64 B B) (*.f64 C C))))
(-.f64 (+.f64 (.f64 A (-.f64 1 (.f64 -1 (.f64 C (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))))))) (+.f64 C (.f64 -1/2 (.f64 (.f64 (pow.f64 A 2) (-.f64 1 (pow.f64 (.f64 -1 (.f64 C (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))))) 2))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))))))) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2))))
(-.f64 (+.f64 (fma.f64 A (-.f64 1 (.f64 (neg.f64 C) (sqrt.f64 (/.f64 1 (+.f64 (.f64 B B) (.f64 C C)))))) C) (.f64 -1/2 (.f64 (.f64 A A) (.f64 (-.f64 1 (pow.f64 (.f64 (neg.f64 C) (sqrt.f64 (/.f64 1 (+.f64 (.f64 B B) (.f64 C C))))) 2)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 B B) (.f64 C C)))))))) (sqrt.f64 (+.f64 (.f64 B B) (.f64 C C))))
(+.f64 (fma.f64 A (-.f64 1 (.f64 (neg.f64 C) (sqrt.f64 (/.f64 1 (+.f64 (.f64 B B) (.f64 C C)))))) C) (-.f64 (.f64 -1/2 (.f64 (.f64 A A) (.f64 (-.f64 1 (pow.f64 (.f64 (neg.f64 C) (sqrt.f64 (/.f64 1 (+.f64 (.f64 B B) (.f64 C C))))) 2)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 B B) (.f64 C C))))))) (sqrt.f64 (+.f64 (.f64 B B) (.f64 C C)))))
(-.f64 (+.f64 (.f64 A (-.f64 1 (.f64 -1 (.f64 C (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))))))) (+.f64 (.f64 -1/2 (.f64 (.f64 (pow.f64 A 3) (.f64 C (-.f64 1 (pow.f64 (.f64 -1 (.f64 C (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))))) 2)))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)) 3))))) (+.f64 C (.f64 -1/2 (.f64 (.f64 (pow.f64 A 2) (-.f64 1 (pow.f64 (.f64 -1 (.f64 C (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))))) 2))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2))))))))) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2))))
(-.f64 (fma.f64 A (-.f64 1 (.f64 (neg.f64 C) (sqrt.f64 (/.f64 1 (+.f64 (.f64 B B) (.f64 C C)))))) (fma.f64 -1/2 (.f64 (pow.f64 A 3) (.f64 (.f64 C (-.f64 1 (pow.f64 (.f64 (neg.f64 C) (sqrt.f64 (/.f64 1 (+.f64 (.f64 B B) (.f64 C C))))) 2))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 B B) (.f64 C C)) 3))))) (+.f64 C (.f64 -1/2 (.f64 (.f64 A A) (.f64 (-.f64 1 (pow.f64 (.f64 (neg.f64 C) (sqrt.f64 (/.f64 1 (+.f64 (.f64 B B) (.f64 C C))))) 2)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 B B) (.f64 C C)))))))))) (sqrt.f64 (+.f64 (.f64 B B) (.f64 C C))))
(-.f64 (fma.f64 A (-.f64 1 (.f64 (neg.f64 C) (sqrt.f64 (/.f64 1 (+.f64 (.f64 B B) (.f64 C C)))))) (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 B B) (.f64 C C)) 3))) (.f64 (.f64 (pow.f64 A 3) C) (-.f64 1 (pow.f64 (.f64 (neg.f64 C) (sqrt.f64 (/.f64 1 (+.f64 (.f64 B B) (.f64 C C))))) 2)))) (+.f64 C (.f64 -1/2 (.f64 (.f64 A A) (.f64 (-.f64 1 (pow.f64 (.f64 (neg.f64 C) (sqrt.f64 (/.f64 1 (+.f64 (.f64 B B) (.f64 C C))))) 2)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 B B) (.f64 C C)))))))))) (sqrt.f64 (+.f64 (.f64 B B) (.f64 C C))))
(-.f64 C (*.f64 -1 C))
(-.f64 C (neg.f64 C))
(-.f64 (+.f64 C (.f64 -1/2 (/.f64 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)) (pow.f64 (.f64 -1 C) 2)) A))) (*.f64 -1 C))
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(-.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)) (pow.f64 (.f64 -1 C) 2)) C) (pow.f64 A 2))) (+.f64 C (.f64 -1/2 (/.f64 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)) (pow.f64 (.f64 -1 C) 2)) A)))) (.f64 -1 C))
(-.f64 (fma.f64 -1/2 (/.f64 (+.f64 (.f64 B B) (-.f64 (.f64 C C) (pow.f64 (neg.f64 C) 2))) (/.f64 (.f64 A A) C)) (+.f64 C (.f64 -1/2 (/.f64 (+.f64 (.f64 B B) (-.f64 (.f64 C C) (pow.f64 (neg.f64 C) 2))) A)))) (neg.f64 C))
(-.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)) (pow.f64 (.f64 -1 C) 2)) C) (pow.f64 A 2))) (+.f64 C (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -1 (.f64 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)) (pow.f64 (.f64 -1 C) 2)) (pow.f64 C 2))) (pow.f64 (.f64 1/2 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)) (pow.f64 (.f64 -1 C) 2))) 2)) (pow.f64 A 3))) (.f64 -1/2 (/.f64 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)) (pow.f64 (.f64 -1 C) 2)) A))))) (.f64 -1 C))
(-.f64 (fma.f64 -1/2 (/.f64 (+.f64 (.f64 B B) (-.f64 (.f64 C C) (pow.f64 (neg.f64 C) 2))) (/.f64 (.f64 A A) C)) (+.f64 C (fma.f64 1/2 (/.f64 (fma.f64 -1 (.f64 (.f64 C C) (+.f64 (.f64 B B) (-.f64 (.f64 C C) (pow.f64 (neg.f64 C) 2)))) (pow.f64 (.f64 1/2 (+.f64 (.f64 B B) (-.f64 (.f64 C C) (pow.f64 (neg.f64 C) 2)))) 2)) (pow.f64 A 3)) (.f64 -1/2 (/.f64 (+.f64 (.f64 B B) (-.f64 (*.f64 C C) (pow.f64 (neg.f64 C) 2))) A))))) (neg.f64 C))
(*.f64 2 A)
(+.f64 (.f64 2 A) (.f64 1/2 (/.f64 (pow.f64 B 2) A)))
(fma.f64 2 A (.f64 1/2 (/.f64 (.f64 B B) A)))
(+.f64 (.f64 2 A) (+.f64 (.f64 1/2 (/.f64 (.f64 C (pow.f64 B 2)) (pow.f64 A 2))) (.f64 1/2 (/.f64 (pow.f64 B 2) A))))
(fma.f64 2 A (.f64 1/2 (+.f64 (/.f64 C (/.f64 (.f64 A A) (.f64 B B))) (/.f64 (.f64 B B) A))))
(fma.f64 2 A (.f64 1/2 (+.f64 (/.f64 (.f64 B B) A) (/.f64 (.f64 (.f64 B B) C) (*.f64 A A)))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 C 2) (pow.f64 B 2))) (pow.f64 (.f64 1/2 (pow.f64 B 2)) 2)) (pow.f64 A 3))) (+.f64 (.f64 2 A) (+.f64 (.f64 1/2 (/.f64 (.f64 C (pow.f64 B 2)) (pow.f64 A 2))) (.f64 1/2 (/.f64 (pow.f64 B 2) A)))))
(fma.f64 -1/2 (/.f64 (fma.f64 -1 (.f64 (.f64 B B) (.f64 C C)) (pow.f64 (.f64 (.f64 B B) 1/2) 2)) (pow.f64 A 3)) (fma.f64 2 A (.f64 1/2 (+.f64 (/.f64 C (/.f64 (.f64 A A) (.f64 B B))) (/.f64 (*.f64 B B) A)))))
(fma.f64 -1/2 (/.f64 (fma.f64 -1 (.f64 (.f64 B B) (.f64 C C)) (pow.f64 (.f64 (.f64 B B) 1/2) 2)) (pow.f64 A 3)) (fma.f64 2 A (.f64 1/2 (+.f64 (/.f64 (.f64 B B) A) (/.f64 (.f64 (.f64 B B) C) (.f64 A A))))))
(-.f64 0 (/.f64 (sqrt.f64 (.f64 2 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) F)))) (fma.f64 B B (.f64 A (*.f64 -4 C)))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 2 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))) (.f64 F (fma.f64 B B (.f64 A (.f64 C -4))))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 F (fma.f64 B B (.f64 A (.f64 C -4)))))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 (.f64 2 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) F)))) (fma.f64 B B (.f64 A (*.f64 -4 C)))))) 1)
(/.f64 (sqrt.f64 (.f64 (.f64 2 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))) (.f64 F (fma.f64 B B (.f64 A (.f64 C -4)))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
(/.f64 (sqrt.f64 (.f64 2 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 F (fma.f64 B B (.f64 A (.f64 C -4))))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
(-.f64 (/.f64 0 (fma.f64 B B (.f64 A (.f64 -4 C)))) (/.f64 (sqrt.f64 (.f64 2 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) F)))) (fma.f64 B B (.f64 A (*.f64 -4 C)))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 2 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))) (.f64 F (fma.f64 B B (.f64 A (.f64 C -4))))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 F (fma.f64 B B (.f64 A (.f64 C -4)))))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
(.f64 (sqrt.f64 (.f64 2 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) F)))) (/.f64 1 (fma.f64 B B (.f64 A (.f64 -4 C)))))
(/.f64 (sqrt.f64 (.f64 (.f64 2 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))) (.f64 F (fma.f64 B B (.f64 A (.f64 C -4)))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
(/.f64 (sqrt.f64 (.f64 2 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 F (fma.f64 B B (.f64 A (.f64 C -4))))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
(.f64 (sqrt.f64 (.f64 2 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) F)))) (/.f64 1 (neg.f64 (fma.f64 B B (.f64 A (.f64 -4 C))))))
(/.f64 (sqrt.f64 (.f64 (.f64 2 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))) (.f64 F (fma.f64 B B (.f64 A (.f64 C -4)))))) (neg.f64 (fma.f64 B B (.f64 A (*.f64 C -4)))))
(/.f64 (sqrt.f64 (.f64 2 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 F (fma.f64 B B (.f64 A (.f64 C -4))))))) (neg.f64 (fma.f64 B B (.f64 A (*.f64 C -4)))))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) F)))) (fma.f64 B B (.f64 A (.f64 -4 C)))) 1)
(/.f64 (sqrt.f64 (.f64 (.f64 2 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))) (.f64 F (fma.f64 B B (.f64 A (.f64 C -4)))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
(/.f64 (sqrt.f64 (.f64 2 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 F (fma.f64 B B (.f64 A (.f64 C -4))))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
(.f64 1 (/.f64 (sqrt.f64 (.f64 2 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) F)))) (fma.f64 B B (.f64 A (.f64 -4 C)))))
(/.f64 (sqrt.f64 (.f64 (.f64 2 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))) (.f64 F (fma.f64 B B (.f64 A (.f64 C -4)))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
(/.f64 (sqrt.f64 (.f64 2 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 F (fma.f64 B B (.f64 A (.f64 C -4))))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
(.f64 (/.f64 (pow.f64 (.f64 2 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) F))) 1/4) (hypot.f64 B (sqrt.f64 (.f64 A (.f64 -4 C))))) (/.f64 (pow.f64 (.f64 2 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) F))) 1/4) (hypot.f64 B (sqrt.f64 (.f64 A (*.f64 -4 C))))))
(pow.f64 (/.f64 (pow.f64 (.f64 (.f64 2 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))) (.f64 F (fma.f64 B B (.f64 A (.f64 C -4))))) 1/4) (hypot.f64 B (sqrt.f64 (.f64 A (*.f64 C -4))))) 2)
(pow.f64 (/.f64 (pow.f64 (.f64 2 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 F (fma.f64 B B (.f64 A (.f64 C -4)))))) 1/4) (hypot.f64 B (sqrt.f64 (.f64 A (*.f64 C -4))))) 2)
(.f64 (pow.f64 (.f64 2 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) F))) 1/4) (.f64 (pow.f64 (.f64 2 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) F))) 1/4) (/.f64 1 (fma.f64 B B (.f64 A (.f64 -4 C))))))
(/.f64 (sqrt.f64 (.f64 (.f64 2 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))) (.f64 F (fma.f64 B B (.f64 A (.f64 C -4)))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
(/.f64 (sqrt.f64 (.f64 2 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 F (fma.f64 B B (.f64 A (.f64 C -4))))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
(.f64 (cbrt.f64 (.f64 2 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) F)))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 2 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) F))))) (/.f64 1 (fma.f64 B B (.f64 A (.f64 -4 C))))))
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(+.f64 (*.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) 1) (+.f64 A (fma.f64 (neg.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A)) 1 (-.f64 (hypot.f64 B (-.f64 A C)) A))))
(+.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (+.f64 (neg.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A)) (-.f64 (hypot.f64 B (-.f64 A C)) A)))
(-.f64 (+.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (-.f64 (hypot.f64 B (-.f64 A C)) A)) (-.f64 (hypot.f64 B (-.f64 A C)) A))
(+.f64 (*.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) 1) (+.f64 A (fma.f64 (neg.f64 (sqrt.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A))) (sqrt.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A)) (-.f64 (hypot.f64 B (-.f64 A C)) A))))
(+.f64 A (+.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A))) (sqrt.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A)) (-.f64 (hypot.f64 B (-.f64 A C)) A))))
(+.f64 (*.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) 1) (+.f64 A (fma.f64 (neg.f64 (cbrt.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A))) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A)) 2) (-.f64 (hypot.f64 B (-.f64 A C)) A))))
(+.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A))) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A)) 2) (-.f64 (hypot.f64 B (-.f64 A C)) A)))
(+.f64 A (+.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A))) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A)) 2) (-.f64 (hypot.f64 B (-.f64 A C)) A))))
(+.f64 (neg.f64 (hypot.f64 B (-.f64 A C))) (+.f64 (neg.f64 (neg.f64 A)) C))
(-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))
(+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))
(+.f64 (fma.f64 (neg.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A)) 1 (-.f64 (hypot.f64 B (-.f64 A C)) A)) (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))
(+.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (+.f64 (neg.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A)) (-.f64 (hypot.f64 B (-.f64 A C)) A)))
(-.f64 (+.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (-.f64 (hypot.f64 B (-.f64 A C)) A)) (-.f64 (hypot.f64 B (-.f64 A C)) A))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A))) (sqrt.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A)) (-.f64 (hypot.f64 B (-.f64 A C)) A)) (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))
(+.f64 A (+.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A))) (sqrt.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A)) (-.f64 (hypot.f64 B (-.f64 A C)) A))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A))) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A)) 2) (-.f64 (hypot.f64 B (-.f64 A C)) A)) (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))
(+.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A))) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A)) 2) (-.f64 (hypot.f64 B (-.f64 A C)) A)))
(+.f64 A (+.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A))) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A)) 2) (-.f64 (hypot.f64 B (-.f64 A C)) A))))
(*.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) 1)
(-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))
(+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))
(*.f64 1 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))
(-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))
(+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))
(*.f64 (sqrt.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))) (sqrt.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))
(-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))
(+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))
(*.f64 (cbrt.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))) (pow.f64 (cbrt.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))) 2))
(-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))
(+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))) 2) (cbrt.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))
(-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))
(+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))
(.f64 (-.f64 (.f64 C C) (pow.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A) 2)) (/.f64 1 (+.f64 C (-.f64 (hypot.f64 B (-.f64 A C)) A))))
(/.f64 (.f64 (-.f64 (.f64 C C) (pow.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A) 2)) 1) (+.f64 C (-.f64 (hypot.f64 B (-.f64 A C)) A)))
(.f64 (-.f64 (pow.f64 C 3) (pow.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A) 3)) (/.f64 1 (fma.f64 C C (.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A) (+.f64 C (-.f64 (hypot.f64 B (-.f64 A C)) A))))))
(/.f64 1 (/.f64 (fma.f64 C C (*.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A) (+.f64 C (-.f64 (hypot.f64 B (-.f64 A C)) A)))) (-.f64 (pow.f64 C 3) (pow.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A) 3))))
(*.f64 (+.f64 (sqrt.f64 C) (sqrt.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A))) (-.f64 (sqrt.f64 C) (sqrt.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A))))
(*.f64 (+.f64 (sqrt.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A)) (sqrt.f64 C)) (-.f64 (sqrt.f64 C) (sqrt.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A))))
(/.f64 1 (/.f64 (+.f64 C (-.f64 (hypot.f64 B (-.f64 A C)) A)) (-.f64 (*.f64 C C) (pow.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A) 2))))
(/.f64 (.f64 (-.f64 (.f64 C C) (pow.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A) 2)) 1) (+.f64 C (-.f64 (hypot.f64 B (-.f64 A C)) A)))
(.f64 (-.f64 (.f64 C C) (pow.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A) 2)) (/.f64 1 (+.f64 C (-.f64 (hypot.f64 B (-.f64 A C)) A))))
(/.f64 1 (/.f64 (fma.f64 C C (*.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A) (+.f64 C (-.f64 (hypot.f64 B (-.f64 A C)) A)))) (-.f64 (pow.f64 C 3) (pow.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A) 3))))
(.f64 (-.f64 (pow.f64 C 3) (pow.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A) 3)) (/.f64 1 (fma.f64 C C (.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A) (+.f64 C (-.f64 (hypot.f64 B (-.f64 A C)) A))))))
(/.f64 (-.f64 (*.f64 C C) (pow.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A) 2)) (+.f64 C (-.f64 (hypot.f64 B (-.f64 A C)) A)))
(/.f64 (-.f64 (pow.f64 C 3) (pow.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A) 3)) (fma.f64 C C (*.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A) (+.f64 C (-.f64 (hypot.f64 B (-.f64 A C)) A)))))
(/.f64 (-.f64 (.f64 C C) (.f64 (neg.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A)) (neg.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A)))) (-.f64 C (neg.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A))))
(/.f64 (-.f64 (*.f64 C C) (pow.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A) 2)) (-.f64 C (neg.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A))))
(/.f64 (-.f64 (*.f64 C C) (pow.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A) 2)) (-.f64 C (fma.f64 -1 (hypot.f64 B (-.f64 A C)) A)))
(/.f64 (-.f64 (.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 A A)) (-.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) A))
(/.f64 (-.f64 (.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 A A)) (-.f64 C (+.f64 (hypot.f64 B (-.f64 A C)) A)))
(/.f64 (-.f64 (.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 A A)) (-.f64 C (+.f64 A (hypot.f64 B (-.f64 A C)))))
(/.f64 (+.f64 (pow.f64 C 3) (pow.f64 (neg.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A)) 3)) (+.f64 (.f64 C C) (-.f64 (.f64 (neg.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A)) (neg.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A))) (*.f64 C (neg.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A))))))
(/.f64 (-.f64 (pow.f64 C 3) (pow.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A) 3)) (fma.f64 C C (*.f64 (neg.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A)) (-.f64 (neg.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A)) C))))
(/.f64 (-.f64 (pow.f64 C 3) (pow.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A) 3)) (fma.f64 C C (*.f64 (fma.f64 -1 (hypot.f64 B (-.f64 A C)) A) (-.f64 (fma.f64 -1 (hypot.f64 B (-.f64 A C)) A) C))))
(/.f64 (+.f64 (pow.f64 A 3) (pow.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) 3)) (+.f64 (.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) (-.f64 C (hypot.f64 B (-.f64 A C)))) (-.f64 (.f64 A A) (*.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) A))))
(/.f64 (+.f64 (pow.f64 A 3) (pow.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) 3)) (fma.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) (-.f64 C (hypot.f64 B (-.f64 A C))) (*.f64 A (-.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))))
(/.f64 (+.f64 (pow.f64 A 3) (pow.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) 3)) (fma.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) (-.f64 C (hypot.f64 B (-.f64 A C))) (*.f64 A (+.f64 (-.f64 A C) (hypot.f64 B (-.f64 A C))))))
(/.f64 (neg.f64 (-.f64 (*.f64 C C) (pow.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A) 2))) (neg.f64 (+.f64 C (-.f64 (hypot.f64 B (-.f64 A C)) A))))
(/.f64 (neg.f64 (-.f64 (*.f64 C C) (pow.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A) 2))) (-.f64 (fma.f64 -1 (hypot.f64 B (-.f64 A C)) A) C))
(/.f64 (neg.f64 (-.f64 (pow.f64 C 3) (pow.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A) 3))) (neg.f64 (fma.f64 C C (*.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A) (+.f64 C (-.f64 (hypot.f64 B (-.f64 A C)) A))))))
(pow.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) 1)
(-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))
(+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))
(pow.f64 (sqrt.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))) 2)
(-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))
(+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))
(pow.f64 (cbrt.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))) 3)
(-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))
(+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))
(pow.f64 (pow.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) 3) 1/3)
(-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))
(+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))
(sqrt.f64 (pow.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) 2))
(sqrt.f64 (pow.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) 2))
(log.f64 (exp.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))
(-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))
(+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))))
(-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))
(+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))
(cbrt.f64 (pow.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) 3))
(-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))
(+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))
(expm1.f64 (log1p.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))
(-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))
(+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))
(exp.f64 (log.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))
(-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))
(+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))
(exp.f64 (*.f64 (log.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))) 1))
(-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))
(+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))
(log1p.f64 (expm1.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))
(-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))
(+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))
(fma.f64 1 C (neg.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A)))
(fma.f64 1 C (fma.f64 -1 (hypot.f64 B (-.f64 A C)) A))
(fma.f64 (sqrt.f64 C) (sqrt.f64 C) (neg.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A)))
(fma.f64 (sqrt.f64 C) (sqrt.f64 C) (fma.f64 -1 (hypot.f64 B (-.f64 A C)) A))
(fma.f64 (pow.f64 (cbrt.f64 C) 2) (cbrt.f64 C) (neg.f64 (-.f64 (hypot.f64 B (-.f64 A C)) A)))
(fma.f64 (pow.f64 (cbrt.f64 C) 2) (cbrt.f64 C) (fma.f64 -1 (hypot.f64 B (-.f64 A C)) A))

localize52.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(-.f64 C (hypot.f64 B (-.f64 A C)))
✓	3.5b	(.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (*.f64 2 F)))
✓	18.2b	(sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (*.f64 2 F))))
✓	24.6b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 2 F))))) (fma.f64 B B (.f64 A (*.f64 C -4))))

Compiler

Compiled 168 to 66 computations (60.7% saved)

series34.0ms (0.1%)

Counts

4 → 124

Calls

45 calls:

Time	Variable		Point	Expression
4.0ms	A	@	inf	(sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (*.f64 2 F))))
3.0ms	C	@	0	(sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (*.f64 2 F))))
3.0ms	A	@	0	(sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (*.f64 2 F))))
3.0ms	C	@	inf	(.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (*.f64 2 F)))
1.0ms	C	@	0	(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 2 F))))) (fma.f64 B B (.f64 A (*.f64 C -4))))

rewrite124.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

524×	`add-sqr-sqrt`
508×	`*-un-lft-identity`
506×	`pow1`
482×	`add-exp-log`
482×	`log1p-expm1-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	246
1	504	242
2	6946	242

Stop Event

1×	node limit

Counts

4 → 166

Calls

Call 1

Inputs
(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 2 F))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
(sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (*.f64 2 F))))
(.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (*.f64 2 F)))
(-.f64 C (hypot.f64 B (-.f64 A C)))

Outputs
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B (-.f64 A C)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 C (hypot.f64 B (-.f64 A C)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 C (neg.f64 (hypot.f64 B (-.f64 A C))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 C) (sqrt.f64 C) (neg.f64 (hypot.f64 B (-.f64 A C))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 C) 2) (cbrt.f64 C) (neg.f64 (hypot.f64 B (-.f64 A C))))))))

simplify250.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1158×	`associate-/l*`
1046×	`*-commutative`
1028×	`associate-/r*`
1018×	`+-commutative`
860×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1249	39794
1	4001	39742

Stop Event

1×	node limit

Counts

290 → 486

Calls

Call 1

Inputs
(.f64 -1 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1/2)) (sqrt.f64 (/.f64 F A))))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1/2)) (sqrt.f64 (/.f64 F A)))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 A F)) (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 B 2) (-.f64 (.f64 1/8 (/.f64 F (.f64 A (.f64 (-.f64 A C) C)))) (.f64 1/8 (/.f64 F (.f64 (pow.f64 A 2) C)))))) (sqrt.f64 -1/2)))))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1/2)) (sqrt.f64 (/.f64 F A)))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 A F)) (/.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (.f64 -1/32 (/.f64 F (.f64 A (.f64 (pow.f64 (-.f64 A C) 3) C)))) (+.f64 (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 A F)) (/.f64 (-.f64 (.f64 1/8 (/.f64 F (.f64 (-.f64 A C) (.f64 A C)))) (.f64 1/8 (/.f64 F (.f64 (pow.f64 A 2) C)))) (sqrt.f64 -1/2)))) 2) (.f64 -1/4 (/.f64 (-.f64 (.f64 1/8 (/.f64 F (.f64 (-.f64 A C) (.f64 A C)))) (.f64 1/8 (/.f64 F (.f64 (pow.f64 A 2) C)))) (.f64 A C))))) (pow.f64 B 4))) (sqrt.f64 -1/2)))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 A F)) (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 B 2) (-.f64 (.f64 1/8 (/.f64 F (.f64 A (.f64 (-.f64 A C) C)))) (.f64 1/8 (/.f64 F (*.f64 (pow.f64 A 2) C)))))) (sqrt.f64 -1/2))))))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1/2)) (sqrt.f64 (/.f64 F A)))) (+.f64 (.f64 -1/2 (.f64 (/.f64 (.f64 (-.f64 (.f64 1/64 (/.f64 F (.f64 A (.f64 (pow.f64 (-.f64 A C) 5) C)))) (+.f64 (.f64 1/2 (/.f64 (.f64 A (.f64 (-.f64 (.f64 -1/32 (/.f64 F (.f64 (pow.f64 (-.f64 A C) 3) (.f64 A C)))) (+.f64 (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 A F)) (/.f64 (-.f64 (.f64 1/8 (/.f64 F (.f64 A (.f64 (-.f64 A C) C)))) (.f64 1/8 (/.f64 F (.f64 (pow.f64 A 2) C)))) (sqrt.f64 -1/2)))) 2) (.f64 -1/4 (/.f64 (-.f64 (.f64 1/8 (/.f64 F (.f64 A (.f64 (-.f64 A C) C)))) (.f64 1/8 (/.f64 F (.f64 (pow.f64 A 2) C)))) (.f64 A C))))) (-.f64 (.f64 1/8 (/.f64 F (.f64 (-.f64 A C) (.f64 A C)))) (.f64 1/8 (/.f64 F (.f64 (pow.f64 A 2) C)))))) (.f64 F (pow.f64 (sqrt.f64 -1/2) 2)))) (.f64 -1/4 (/.f64 (-.f64 (.f64 -1/32 (/.f64 F (.f64 (pow.f64 (-.f64 A C) 3) (.f64 A C)))) (.f64 -1/4 (/.f64 (-.f64 (.f64 1/8 (/.f64 F (.f64 A (.f64 (-.f64 A C) C)))) (.f64 1/8 (/.f64 F (.f64 (pow.f64 A 2) C)))) (.f64 A C)))) (.f64 A C))))) (.f64 (sqrt.f64 2) (pow.f64 B 6))) (sqrt.f64 -1/2)) (sqrt.f64 (/.f64 A F)))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 A F)) (/.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (.f64 -1/32 (/.f64 F (.f64 A (.f64 (pow.f64 (-.f64 A C) 3) C)))) (+.f64 (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 A F)) (/.f64 (-.f64 (.f64 1/8 (/.f64 F (.f64 (-.f64 A C) (.f64 A C)))) (.f64 1/8 (/.f64 F (.f64 (pow.f64 A 2) C)))) (sqrt.f64 -1/2)))) 2) (.f64 -1/4 (/.f64 (-.f64 (.f64 1/8 (/.f64 F (.f64 (-.f64 A C) (.f64 A C)))) (.f64 1/8 (/.f64 F (.f64 (pow.f64 A 2) C)))) (.f64 A C))))) (pow.f64 B 4))) (sqrt.f64 -1/2)))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 A F)) (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 B 2) (-.f64 (.f64 1/8 (/.f64 F (.f64 A (.f64 (-.f64 A C) C)))) (.f64 1/8 (/.f64 F (.f64 (pow.f64 A 2) C)))))) (sqrt.f64 -1/2)))))))
(.f64 -1 (.f64 (/.f64 (sqrt.f64 2) B) (sqrt.f64 (*.f64 (-.f64 C (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))) F))))
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A
(+.f64 A (.f64 -1/2 (/.f64 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)) (pow.f64 (.f64 -1 A) 2)) C)))
(+.f64 A (+.f64 (.f64 -1/2 (/.f64 (.f64 A (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)) (pow.f64 (.f64 -1 A) 2))) (pow.f64 C 2))) (.f64 -1/2 (/.f64 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)) (pow.f64 (*.f64 -1 A) 2)) C))))
(+.f64 A (+.f64 (.f64 -1/2 (/.f64 (.f64 A (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)) (pow.f64 (.f64 -1 A) 2))) (pow.f64 C 2))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (pow.f64 (.f64 1/2 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)) (pow.f64 (.f64 -1 A) 2))) 2) (.f64 -1 (.f64 (pow.f64 A 2) (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)) (pow.f64 (.f64 -1 A) 2))))) (pow.f64 C 3))) (.f64 -1/2 (/.f64 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)) (pow.f64 (*.f64 -1 A) 2)) C)))))
(*.f64 2 C)
(+.f64 (.f64 2 C) (.f64 -1 A))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 B 2) C)) (+.f64 (.f64 2 C) (*.f64 -1 A)))
(+.f64 (.f64 1/2 (/.f64 (.f64 A (pow.f64 B 2)) (pow.f64 C 2))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 B 2) C)) (+.f64 (.f64 2 C) (*.f64 -1 A))))
(-.f64 (*.f64 2 C) A)
(-.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 B 2) (-.f64 A C))) (.f64 2 C)) A)
(-.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 B 2) (-.f64 A C))) (+.f64 (.f64 2 C) (*.f64 1/8 (/.f64 (pow.f64 B 4) (pow.f64 (-.f64 A C) 3))))) A)
(-.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 B 2) (-.f64 A C))) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 B 6) (pow.f64 (-.f64 A C) 5))) (+.f64 (.f64 2 C) (.f64 1/8 (/.f64 (pow.f64 B 4) (pow.f64 (-.f64 A C) 3)))))) A)
(*.f64 -1 B)
(+.f64 C (*.f64 -1 B))
(+.f64 C (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B)) (.f64 -1 B)))
(+.f64 C (+.f64 (.f64 1/8 (/.f64 (pow.f64 (-.f64 A C) 4) (pow.f64 B 3))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B)) (*.f64 -1 B))))
B
(+.f64 C B)
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B)) (+.f64 C B))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (-.f64 A C) 4) (pow.f64 B 3))) (+.f64 C B)))
(-.f64 C (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2))))
(-.f64 (+.f64 C (.f64 (.f64 A C) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))))) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2))))
(-.f64 (+.f64 C (+.f64 (.f64 -1/2 (.f64 (.f64 (pow.f64 A 2) (-.f64 1 (pow.f64 (.f64 -1 (.f64 C (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))))) 2))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))))) (.f64 (*.f64 A C) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2))))))) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2))))
(-.f64 (+.f64 (.f64 -1/2 (.f64 (.f64 (pow.f64 A 3) (.f64 C (-.f64 1 (pow.f64 (.f64 -1 (.f64 C (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))))) 2)))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)) 3))))) (+.f64 C (+.f64 (.f64 -1/2 (.f64 (.f64 (pow.f64 A 2) (-.f64 1 (pow.f64 (.f64 -1 (.f64 C (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))))) 2))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))))) (.f64 (*.f64 A C) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))))))) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2))))
(*.f64 -1 A)
(-.f64 (+.f64 C (.f64 -1 A)) (.f64 -1 C))
(-.f64 (+.f64 C (+.f64 (.f64 -1/2 (/.f64 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)) (pow.f64 (.f64 -1 C) 2)) A)) (.f64 -1 A))) (.f64 -1 C))
(-.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)) (pow.f64 (.f64 -1 C) 2)) C) (pow.f64 A 2))) (+.f64 C (+.f64 (.f64 -1/2 (/.f64 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)) (pow.f64 (.f64 -1 C) 2)) A)) (.f64 -1 A)))) (*.f64 -1 C))
A
(+.f64 A (*.f64 1/2 (/.f64 (pow.f64 B 2) A)))
(+.f64 A (+.f64 (.f64 1/2 (/.f64 (.f64 C (pow.f64 B 2)) (pow.f64 A 2))) (*.f64 1/2 (/.f64 (pow.f64 B 2) A))))
(+.f64 A (+.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (.f64 1/2 (pow.f64 B 2)) 2) (.f64 -1 (.f64 (pow.f64 C 2) (pow.f64 B 2)))) (pow.f64 A 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 C (pow.f64 B 2)) (pow.f64 A 2))) (*.f64 1/2 (/.f64 (pow.f64 B 2) A)))))
(-.f64 0 (/.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 F)))) (fma.f64 B B (.f64 A (*.f64 C -4)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 F)))) (fma.f64 B B (.f64 A (*.f64 C -4)))))) 1)
(-.f64 (/.f64 0 (fma.f64 B B (.f64 A (.f64 C -4)))) (/.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 F)))) (fma.f64 B B (.f64 A (*.f64 C -4)))))
(.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 F)))) (/.f64 1 (fma.f64 B B (.f64 A (.f64 C -4)))))
(.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 F)))) (/.f64 1 (neg.f64 (fma.f64 B B (.f64 A (.f64 C -4))))))
(.f64 (/.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 F)))) (fma.f64 B B (.f64 A (.f64 C -4)))) 1)
(.f64 1 (/.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 F)))) (fma.f64 B B (.f64 A (.f64 C -4)))))
(.f64 (/.f64 (pow.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 F))) 1/4) (hypot.f64 B (sqrt.f64 (.f64 A (.f64 C -4))))) (/.f64 (pow.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 F))) 1/4) (hypot.f64 B (sqrt.f64 (.f64 A (*.f64 C -4))))))
(.f64 (pow.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 F))) 1/4) (.f64 (pow.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 F))) 1/4) (/.f64 1 (fma.f64 B B (.f64 A (.f64 C -4))))))
(.f64 (cbrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 F)))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 F))))) (/.f64 1 (fma.f64 B B (.f64 A (.f64 C -4))))))
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 F)))) (fma.f64 B B (.f64 A (.f64 C -4))))) (cbrt.f64 (/.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 F))) (pow.f64 (fma.f64 B B (.f64 A (*.f64 C -4))) 2))))
(.f64 (cbrt.f64 (/.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 F))) (pow.f64 (fma.f64 B B (.f64 A (.f64 C -4))) 2))) (cbrt.f64 (/.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 F)))) (fma.f64 B B (.f64 A (*.f64 C -4))))))
(.f64 -1 (/.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 F)))) (fma.f64 B B (.f64 A (.f64 C -4)))))
(.f64 (/.f64 1 (fma.f64 B B (.f64 A (.f64 C -4)))) (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 F)))))
(.f64 (/.f64 1 (hypot.f64 B (sqrt.f64 (.f64 A (.f64 C -4))))) (/.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 F)))) (hypot.f64 B (sqrt.f64 (.f64 A (.f64 C -4))))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 B B (.f64 A (.f64 C -4)))) 2)) (/.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 F)))) (cbrt.f64 (fma.f64 B B (.f64 A (.f64 C -4))))))
(.f64 (/.f64 (hypot.f64 B (sqrt.f64 (.f64 A (.f64 C -4)))) 1) (/.f64 (sqrt.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 F))) (fma.f64 B B (.f64 A (*.f64 C -4)))))
(.f64 (/.f64 (hypot.f64 B (sqrt.f64 (.f64 A (.f64 C -4)))) (hypot.f64 B (sqrt.f64 (.f64 A (.f64 C -4))))) (/.f64 (sqrt.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 F))) (hypot.f64 B (sqrt.f64 (.f64 A (*.f64 C -4))))))
(.f64 (/.f64 (hypot.f64 B (sqrt.f64 (.f64 A (.f64 C -4)))) (pow.f64 (cbrt.f64 (fma.f64 B B (.f64 A (.f64 C -4)))) 2)) (/.f64 (sqrt.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 F))) (cbrt.f64 (fma.f64 B B (.f64 A (*.f64 C -4))))))
(.f64 (/.f64 (cbrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 F)))) 1) (/.f64 (cbrt.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 F))))) (fma.f64 B B (.f64 A (*.f64 C -4)))))
(.f64 (/.f64 (cbrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 F)))) (hypot.f64 B (sqrt.f64 (.f64 A (.f64 C -4))))) (/.f64 (cbrt.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 F))))) (hypot.f64 B (sqrt.f64 (.f64 A (*.f64 C -4))))))
(.f64 (/.f64 (cbrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 F)))) (pow.f64 (cbrt.f64 (fma.f64 B B (.f64 A (.f64 C -4)))) 2)) (cbrt.f64 (/.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 F)))) (fma.f64 B B (.f64 A (*.f64 C -4))))))
(.f64 (/.f64 (pow.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 F))) 1/4) 1) (/.f64 (pow.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 F))) 1/4) (fma.f64 B B (.f64 A (*.f64 C -4)))))
(.f64 (/.f64 (pow.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 F))) 1/4) (pow.f64 (cbrt.f64 (fma.f64 B B (.f64 A (.f64 C -4)))) 2)) (/.f64 (pow.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 F))) 1/4) (cbrt.f64 (fma.f64 B B (.f64 A (*.f64 C -4))))))
(.f64 (/.f64 -1 (hypot.f64 B (sqrt.f64 (.f64 A (.f64 C -4))))) (/.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 F)))) (hypot.f64 B (sqrt.f64 (.f64 A (.f64 C -4))))))
(.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (fma.f64 B B (.f64 A (.f64 C -4)))) 2)) (/.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 F)))) (cbrt.f64 (fma.f64 B B (.f64 A (.f64 C -4))))))
(pow.f64 (/.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 F)))) (fma.f64 B B (.f64 A (*.f64 C -4)))) 1)
(pow.f64 (/.f64 (pow.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 F))) 1/4) (hypot.f64 B (sqrt.f64 (.f64 A (*.f64 C -4))))) 2)
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 F)))) (fma.f64 B B (.f64 A (*.f64 C -4))))) 3)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 F)))) (fma.f64 B B (.f64 A (*.f64 C -4)))) 3) 1/3)
(pow.f64 (/.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (*.f64 2 F))))) -1)
(neg.f64 (/.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 F)))) (fma.f64 B B (.f64 A (*.f64 C -4)))))
(sqrt.f64 (/.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 F))) (pow.f64 (fma.f64 B B (.f64 A (*.f64 C -4))) 2)))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 F)))) (fma.f64 B B (.f64 A (*.f64 C -4))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 F)))) (fma.f64 B B (.f64 A (*.f64 C -4)))))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 F)))) (fma.f64 B B (.f64 A (*.f64 C -4)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 F))) 3/2) (pow.f64 (fma.f64 B B (.f64 A (*.f64 C -4))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 F)))) (fma.f64 B B (.f64 A (*.f64 C -4))))))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 F)))) (fma.f64 B B (.f64 A (*.f64 C -4))))))
(exp.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 F)))) (fma.f64 B B (.f64 A (.f64 C -4))))) 1))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 F)))) (fma.f64 B B (.f64 A (*.f64 C -4))))))
(+.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (*.f64 2 F)))) 0)
(+.f64 0 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (*.f64 2 F)))))
(-.f64 0 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (*.f64 2 F)))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (*.f64 2 F)))))) 1)
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (*.f64 2 F))))))) 1)
(.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 F)))) 1)
(.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 F)))) -1)
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(+.f64 (*.f64 (neg.f64 (hypot.f64 B (-.f64 A C))) 1) C)
(+.f64 (fma.f64 (neg.f64 (hypot.f64 B (-.f64 A C))) 1 (hypot.f64 B (-.f64 A C))) (-.f64 C (hypot.f64 B (-.f64 A C))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (hypot.f64 B (-.f64 A C)))) (sqrt.f64 (hypot.f64 B (-.f64 A C))) (hypot.f64 B (-.f64 A C))) (-.f64 C (hypot.f64 B (-.f64 A C))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 B (-.f64 A C)))) (pow.f64 (cbrt.f64 (hypot.f64 B (-.f64 A C))) 2) (hypot.f64 B (-.f64 A C))) (-.f64 C (hypot.f64 B (-.f64 A C))))
(*.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) 1)
(*.f64 1 (-.f64 C (hypot.f64 B (-.f64 A C))))
(*.f64 (sqrt.f64 (-.f64 C (hypot.f64 B (-.f64 A C)))) (sqrt.f64 (-.f64 C (hypot.f64 B (-.f64 A C)))))
(*.f64 (cbrt.f64 (-.f64 C (hypot.f64 B (-.f64 A C)))) (pow.f64 (cbrt.f64 (-.f64 C (hypot.f64 B (-.f64 A C)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 C (hypot.f64 B (-.f64 A C)))) 2) (cbrt.f64 (-.f64 C (hypot.f64 B (-.f64 A C)))))
(.f64 (-.f64 (.f64 C C) (pow.f64 (hypot.f64 B (-.f64 A C)) 2)) (/.f64 1 (+.f64 C (hypot.f64 B (-.f64 A C)))))
(.f64 (-.f64 (pow.f64 C 3) (pow.f64 (hypot.f64 B (-.f64 A C)) 3)) (/.f64 1 (fma.f64 C C (.f64 (hypot.f64 B (-.f64 A C)) (+.f64 C (hypot.f64 B (-.f64 A C)))))))
(*.f64 (+.f64 (sqrt.f64 (hypot.f64 B (-.f64 A C))) (sqrt.f64 C)) (-.f64 (sqrt.f64 C) (sqrt.f64 (hypot.f64 B (-.f64 A C)))))
(/.f64 1 (/.f64 (+.f64 C (hypot.f64 B (-.f64 A C))) (-.f64 (*.f64 C C) (pow.f64 (hypot.f64 B (-.f64 A C)) 2))))
(/.f64 1 (/.f64 (fma.f64 C C (*.f64 (hypot.f64 B (-.f64 A C)) (+.f64 C (hypot.f64 B (-.f64 A C))))) (-.f64 (pow.f64 C 3) (pow.f64 (hypot.f64 B (-.f64 A C)) 3))))
(/.f64 (-.f64 (*.f64 C C) (pow.f64 (hypot.f64 B (-.f64 A C)) 2)) (+.f64 C (hypot.f64 B (-.f64 A C))))
(/.f64 (-.f64 (pow.f64 C 3) (pow.f64 (hypot.f64 B (-.f64 A C)) 3)) (fma.f64 C C (*.f64 (hypot.f64 B (-.f64 A C)) (+.f64 C (hypot.f64 B (-.f64 A C))))))
(/.f64 (-.f64 (.f64 C C) (.f64 (neg.f64 (hypot.f64 B (-.f64 A C))) (neg.f64 (hypot.f64 B (-.f64 A C))))) (-.f64 C (neg.f64 (hypot.f64 B (-.f64 A C)))))
(/.f64 (+.f64 (pow.f64 C 3) (pow.f64 (neg.f64 (hypot.f64 B (-.f64 A C))) 3)) (-.f64 (+.f64 (.f64 C C) (.f64 (neg.f64 (hypot.f64 B (-.f64 A C))) (neg.f64 (hypot.f64 B (-.f64 A C))))) (*.f64 C (neg.f64 (hypot.f64 B (-.f64 A C))))))
(/.f64 (neg.f64 (-.f64 (*.f64 C C) (pow.f64 (hypot.f64 B (-.f64 A C)) 2))) (neg.f64 (+.f64 C (hypot.f64 B (-.f64 A C)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 C 3) (pow.f64 (hypot.f64 B (-.f64 A C)) 3))) (neg.f64 (fma.f64 C C (*.f64 (hypot.f64 B (-.f64 A C)) (+.f64 C (hypot.f64 B (-.f64 A C)))))))
(pow.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) 1)
(pow.f64 (sqrt.f64 (-.f64 C (hypot.f64 B (-.f64 A C)))) 2)
(pow.f64 (cbrt.f64 (-.f64 C (hypot.f64 B (-.f64 A C)))) 3)
(pow.f64 (pow.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) 2))
(log.f64 (exp.f64 (-.f64 C (hypot.f64 B (-.f64 A C)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 C (hypot.f64 B (-.f64 A C))))))
(cbrt.f64 (pow.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) 3))
(expm1.f64 (log1p.f64 (-.f64 C (hypot.f64 B (-.f64 A C)))))
(exp.f64 (log.f64 (-.f64 C (hypot.f64 B (-.f64 A C)))))
(exp.f64 (*.f64 (log.f64 (-.f64 C (hypot.f64 B (-.f64 A C)))) 1))
(log1p.f64 (expm1.f64 (-.f64 C (hypot.f64 B (-.f64 A C)))))
(fma.f64 1 C (neg.f64 (hypot.f64 B (-.f64 A C))))
(fma.f64 (sqrt.f64 C) (sqrt.f64 C) (neg.f64 (hypot.f64 B (-.f64 A C))))
(fma.f64 (pow.f64 (cbrt.f64 C) 2) (cbrt.f64 C) (neg.f64 (hypot.f64 B (-.f64 A C))))

Outputs
(.f64 -1 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1/2)) (sqrt.f64 (/.f64 F A))))
(neg.f64 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1/2)) (sqrt.f64 (/.f64 F A))))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1/2)) (sqrt.f64 (/.f64 F A)))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 A F)) (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 B 2) (-.f64 (.f64 1/8 (/.f64 F (.f64 A (.f64 (-.f64 A C) C)))) (.f64 1/8 (/.f64 F (.f64 (pow.f64 A 2) C)))))) (sqrt.f64 -1/2)))))
(fma.f64 -1 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1/2)) (sqrt.f64 (/.f64 F A))) (.f64 (.f64 -1/2 (sqrt.f64 (/.f64 A F))) (/.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 -1/2) (.f64 (.f64 B B) (.f64 1/8 (-.f64 (/.f64 F (.f64 (.f64 A (-.f64 A C)) C)) (/.f64 F (.f64 C (*.f64 A A))))))))))
(fma.f64 -1 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1/2)) (sqrt.f64 (/.f64 F A))) (.f64 (.f64 -1/2 (sqrt.f64 (/.f64 A F))) (/.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 -1/2) (.f64 (.f64 B B) (.f64 1/8 (-.f64 (/.f64 F (.f64 (.f64 A (-.f64 A C)) C)) (/.f64 (/.f64 F C) (.f64 A A)))))))))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1/2)) (sqrt.f64 (/.f64 F A)))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 A F)) (/.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (.f64 -1/32 (/.f64 F (.f64 A (.f64 (pow.f64 (-.f64 A C) 3) C)))) (+.f64 (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 A F)) (/.f64 (-.f64 (.f64 1/8 (/.f64 F (.f64 (-.f64 A C) (.f64 A C)))) (.f64 1/8 (/.f64 F (.f64 (pow.f64 A 2) C)))) (sqrt.f64 -1/2)))) 2) (.f64 -1/4 (/.f64 (-.f64 (.f64 1/8 (/.f64 F (.f64 (-.f64 A C) (.f64 A C)))) (.f64 1/8 (/.f64 F (.f64 (pow.f64 A 2) C)))) (.f64 A C))))) (pow.f64 B 4))) (sqrt.f64 -1/2)))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 A F)) (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 B 2) (-.f64 (.f64 1/8 (/.f64 F (.f64 A (.f64 (-.f64 A C) C)))) (.f64 1/8 (/.f64 F (*.f64 (pow.f64 A 2) C)))))) (sqrt.f64 -1/2))))))
(fma.f64 -1 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1/2)) (sqrt.f64 (/.f64 F A))) (.f64 -1/2 (+.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 A F)) (.f64 (.f64 (sqrt.f64 2) (-.f64 (.f64 -1/32 (/.f64 (/.f64 F A) (.f64 C (pow.f64 (-.f64 A C) 3)))) (+.f64 (pow.f64 (.f64 (.f64 1/2 (sqrt.f64 (/.f64 A F))) (/.f64 (.f64 1/8 (-.f64 (/.f64 F (.f64 (-.f64 A C) (.f64 A C))) (/.f64 F (.f64 C (.f64 A A))))) (sqrt.f64 -1/2))) 2) (/.f64 (.f64 -1/4 (.f64 1/8 (-.f64 (/.f64 F (.f64 (-.f64 A C) (.f64 A C))) (/.f64 F (.f64 C (.f64 A A)))))) (.f64 A C))))) (pow.f64 B 4))) (sqrt.f64 -1/2)) (.f64 (sqrt.f64 (/.f64 A F)) (/.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 -1/2) (.f64 (.f64 B B) (.f64 1/8 (-.f64 (/.f64 F (.f64 (.f64 A (-.f64 A C)) C)) (/.f64 F (.f64 C (.f64 A A))))))))))))
(fma.f64 -1 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1/2)) (sqrt.f64 (/.f64 F A))) (.f64 -1/2 (+.f64 (.f64 (sqrt.f64 (/.f64 A F)) (/.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 -1/2) (.f64 (.f64 B B) (.f64 1/8 (-.f64 (/.f64 F (.f64 (.f64 A (-.f64 A C)) C)) (/.f64 (/.f64 F C) (.f64 A A)))))))) (.f64 (sqrt.f64 (/.f64 A F)) (/.f64 (sqrt.f64 2) (/.f64 (/.f64 (sqrt.f64 -1/2) (pow.f64 B 4)) (-.f64 (-.f64 (.f64 -1/32 (/.f64 (/.f64 F A) (.f64 C (pow.f64 (-.f64 A C) 3)))) (/.f64 -1/4 (/.f64 (.f64 A C) (.f64 1/8 (-.f64 (/.f64 F (.f64 (-.f64 A C) (.f64 A C))) (/.f64 (/.f64 F C) (.f64 A A))))))) (pow.f64 (.f64 1/2 (/.f64 (sqrt.f64 (/.f64 A F)) (/.f64 (sqrt.f64 -1/2) (.f64 1/8 (-.f64 (/.f64 F (.f64 (-.f64 A C) (.f64 A C))) (/.f64 (/.f64 F C) (*.f64 A A))))))) 2))))))))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1/2)) (sqrt.f64 (/.f64 F A)))) (+.f64 (.f64 -1/2 (.f64 (/.f64 (.f64 (-.f64 (.f64 1/64 (/.f64 F (.f64 A (.f64 (pow.f64 (-.f64 A C) 5) C)))) (+.f64 (.f64 1/2 (/.f64 (.f64 A (.f64 (-.f64 (.f64 -1/32 (/.f64 F (.f64 (pow.f64 (-.f64 A C) 3) (.f64 A C)))) (+.f64 (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 A F)) (/.f64 (-.f64 (.f64 1/8 (/.f64 F (.f64 A (.f64 (-.f64 A C) C)))) (.f64 1/8 (/.f64 F (.f64 (pow.f64 A 2) C)))) (sqrt.f64 -1/2)))) 2) (.f64 -1/4 (/.f64 (-.f64 (.f64 1/8 (/.f64 F (.f64 A (.f64 (-.f64 A C) C)))) (.f64 1/8 (/.f64 F (.f64 (pow.f64 A 2) C)))) (.f64 A C))))) (-.f64 (.f64 1/8 (/.f64 F (.f64 (-.f64 A C) (.f64 A C)))) (.f64 1/8 (/.f64 F (.f64 (pow.f64 A 2) C)))))) (.f64 F (pow.f64 (sqrt.f64 -1/2) 2)))) (.f64 -1/4 (/.f64 (-.f64 (.f64 -1/32 (/.f64 F (.f64 (pow.f64 (-.f64 A C) 3) (.f64 A C)))) (.f64 -1/4 (/.f64 (-.f64 (.f64 1/8 (/.f64 F (.f64 A (.f64 (-.f64 A C) C)))) (.f64 1/8 (/.f64 F (.f64 (pow.f64 A 2) C)))) (.f64 A C)))) (.f64 A C))))) (.f64 (sqrt.f64 2) (pow.f64 B 6))) (sqrt.f64 -1/2)) (sqrt.f64 (/.f64 A F)))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 A F)) (/.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (.f64 -1/32 (/.f64 F (.f64 A (.f64 (pow.f64 (-.f64 A C) 3) C)))) (+.f64 (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 A F)) (/.f64 (-.f64 (.f64 1/8 (/.f64 F (.f64 (-.f64 A C) (.f64 A C)))) (.f64 1/8 (/.f64 F (.f64 (pow.f64 A 2) C)))) (sqrt.f64 -1/2)))) 2) (.f64 -1/4 (/.f64 (-.f64 (.f64 1/8 (/.f64 F (.f64 (-.f64 A C) (.f64 A C)))) (.f64 1/8 (/.f64 F (.f64 (pow.f64 A 2) C)))) (.f64 A C))))) (pow.f64 B 4))) (sqrt.f64 -1/2)))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 A F)) (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 B 2) (-.f64 (.f64 1/8 (/.f64 F (.f64 A (.f64 (-.f64 A C) C)))) (.f64 1/8 (/.f64 F (.f64 (pow.f64 A 2) C)))))) (sqrt.f64 -1/2)))))))
(fma.f64 -1 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1/2)) (sqrt.f64 (/.f64 F A))) (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 A F)) (/.f64 (-.f64 (/.f64 (.f64 1/64 F) (.f64 (.f64 A (pow.f64 (-.f64 A C) 5)) C)) (fma.f64 1/2 (/.f64 A (/.f64 (.f64 F (pow.f64 (sqrt.f64 -1/2) 2)) (.f64 (.f64 1/8 (-.f64 (/.f64 F (.f64 (-.f64 A C) (.f64 A C))) (/.f64 F (.f64 C (.f64 A A))))) (-.f64 (-.f64 (.f64 -1/32 (/.f64 (/.f64 F (pow.f64 (-.f64 A C) 3)) (.f64 A C))) (pow.f64 (.f64 (.f64 1/2 (sqrt.f64 (/.f64 A F))) (/.f64 (.f64 1/8 (-.f64 (/.f64 F (.f64 (.f64 A (-.f64 A C)) C)) (/.f64 F (.f64 C (.f64 A A))))) (sqrt.f64 -1/2))) 2)) (/.f64 (.f64 -1/4 (.f64 1/8 (-.f64 (/.f64 F (.f64 (.f64 A (-.f64 A C)) C)) (/.f64 F (.f64 C (.f64 A A)))))) (.f64 A C)))))) (.f64 -1/4 (/.f64 (+.f64 (.f64 -1/32 (/.f64 (/.f64 F (pow.f64 (-.f64 A C) 3)) (.f64 A C))) (.f64 1/4 (/.f64 (.f64 1/8 (-.f64 (/.f64 F (.f64 (.f64 A (-.f64 A C)) C)) (/.f64 F (.f64 C (.f64 A A))))) (.f64 A C)))) (.f64 A C))))) (/.f64 (sqrt.f64 -1/2) (.f64 (sqrt.f64 2) (pow.f64 B 6))))) (.f64 -1/2 (+.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 A F)) (.f64 (.f64 (sqrt.f64 2) (-.f64 (.f64 -1/32 (/.f64 (/.f64 F A) (.f64 C (pow.f64 (-.f64 A C) 3)))) (+.f64 (pow.f64 (.f64 (.f64 1/2 (sqrt.f64 (/.f64 A F))) (/.f64 (.f64 1/8 (-.f64 (/.f64 F (.f64 (-.f64 A C) (.f64 A C))) (/.f64 F (.f64 C (.f64 A A))))) (sqrt.f64 -1/2))) 2) (/.f64 (.f64 -1/4 (.f64 1/8 (-.f64 (/.f64 F (.f64 (-.f64 A C) (.f64 A C))) (/.f64 F (.f64 C (.f64 A A)))))) (.f64 A C))))) (pow.f64 B 4))) (sqrt.f64 -1/2)) (.f64 (sqrt.f64 (/.f64 A F)) (/.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 -1/2) (.f64 (.f64 B B) (.f64 1/8 (-.f64 (/.f64 F (.f64 (.f64 A (-.f64 A C)) C)) (/.f64 F (.f64 C (*.f64 A A)))))))))))))
(fma.f64 -1 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1/2)) (sqrt.f64 (/.f64 F A))) (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 A F)) (/.f64 (-.f64 (/.f64 (.f64 1/64 F) (.f64 (.f64 A (pow.f64 (-.f64 A C) 5)) C)) (fma.f64 1/2 (/.f64 A (/.f64 (/.f64 (.f64 F (pow.f64 (sqrt.f64 -1/2) 2)) (.f64 1/8 (-.f64 (/.f64 F (.f64 (-.f64 A C) (.f64 A C))) (/.f64 (/.f64 F C) (.f64 A A))))) (-.f64 (+.f64 (.f64 -1/32 (/.f64 (/.f64 F (pow.f64 (-.f64 A C) 3)) (.f64 A C))) (.f64 1/4 (/.f64 (.f64 1/8 (-.f64 (/.f64 F (.f64 (.f64 A (-.f64 A C)) C)) (/.f64 (/.f64 F C) (.f64 A A)))) (.f64 A C)))) (pow.f64 (.f64 1/2 (/.f64 (sqrt.f64 (/.f64 A F)) (/.f64 (sqrt.f64 -1/2) (.f64 1/8 (-.f64 (/.f64 F (.f64 (.f64 A (-.f64 A C)) C)) (/.f64 (/.f64 F C) (.f64 A A))))))) 2)))) (/.f64 -1/4 (/.f64 (.f64 A C) (+.f64 (.f64 -1/32 (/.f64 (/.f64 F (pow.f64 (-.f64 A C) 3)) (.f64 A C))) (.f64 1/4 (/.f64 (.f64 1/8 (-.f64 (/.f64 F (.f64 (.f64 A (-.f64 A C)) C)) (/.f64 (/.f64 F C) (.f64 A A)))) (.f64 A C)))))))) (/.f64 (sqrt.f64 -1/2) (.f64 (sqrt.f64 2) (pow.f64 B 6))))) (.f64 -1/2 (+.f64 (.f64 (sqrt.f64 (/.f64 A F)) (/.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 -1/2) (.f64 (.f64 B B) (.f64 1/8 (-.f64 (/.f64 F (.f64 (.f64 A (-.f64 A C)) C)) (/.f64 (/.f64 F C) (.f64 A A)))))))) (.f64 (sqrt.f64 (/.f64 A F)) (/.f64 (sqrt.f64 2) (/.f64 (/.f64 (sqrt.f64 -1/2) (pow.f64 B 4)) (-.f64 (-.f64 (.f64 -1/32 (/.f64 (/.f64 F A) (.f64 C (pow.f64 (-.f64 A C) 3)))) (/.f64 -1/4 (/.f64 (.f64 A C) (.f64 1/8 (-.f64 (/.f64 F (.f64 (-.f64 A C) (.f64 A C))) (/.f64 (/.f64 F C) (.f64 A A))))))) (pow.f64 (.f64 1/2 (/.f64 (sqrt.f64 (/.f64 A F)) (/.f64 (sqrt.f64 -1/2) (.f64 1/8 (-.f64 (/.f64 F (.f64 (-.f64 A C) (.f64 A C))) (/.f64 (/.f64 F C) (*.f64 A A))))))) 2)))))))))
(.f64 -1 (.f64 (/.f64 (sqrt.f64 2) B) (sqrt.f64 (*.f64 (-.f64 C (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))) F))))
(neg.f64 (.f64 (/.f64 (sqrt.f64 2) B) (sqrt.f64 (.f64 F (-.f64 C (sqrt.f64 (+.f64 (.f64 B B) (.f64 C C))))))))
(+.f64 (.f64 -1 (.f64 (/.f64 (sqrt.f64 2) B) (sqrt.f64 (.f64 (-.f64 C (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))) F)))) (.f64 -1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 A (.f64 (-.f64 (/.f64 (.f64 F (-.f64 1 (.f64 -1 (.f64 C (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))))))) (pow.f64 B 2)) (.f64 -4 (/.f64 (.f64 (-.f64 C (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))) (.f64 C F)) (pow.f64 B 4)))) B))) (sqrt.f64 (/.f64 1 (*.f64 (-.f64 C (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))) F))))))
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(.f64 2 (.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) F) (+.f64 A (-.f64 C (sqrt.f64 (+.f64 (.f64 B B) (pow.f64 (-.f64 A C) 2)))))))
(.f64 2 (.f64 (+.f64 (pow.f64 B 2) (.f64 -4 (.f64 A C))) (*.f64 F (-.f64 (+.f64 A C) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 (-.f64 A C) 2)))))))
(.f64 2 (.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) F) (+.f64 A (-.f64 C (sqrt.f64 (+.f64 (.f64 B B) (pow.f64 (-.f64 A C) 2)))))))
(.f64 2 (.f64 (+.f64 (pow.f64 B 2) (.f64 -4 (.f64 A C))) (*.f64 F (-.f64 (+.f64 A C) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 (-.f64 A C) 2)))))))
(.f64 2 (.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) F) (+.f64 A (-.f64 C (sqrt.f64 (+.f64 (.f64 B B) (pow.f64 (-.f64 A C) 2)))))))
(.f64 2 (.f64 (+.f64 (pow.f64 B 2) (.f64 -4 (.f64 A C))) (*.f64 F (-.f64 (+.f64 A C) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 (-.f64 A C) 2)))))))
(.f64 2 (.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) F) (+.f64 A (-.f64 C (sqrt.f64 (+.f64 (.f64 B B) (pow.f64 (-.f64 A C) 2)))))))
(.f64 2 (.f64 (+.f64 (pow.f64 B 2) (.f64 -4 (.f64 A C))) (*.f64 F (-.f64 (+.f64 A C) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 (-.f64 A C) 2)))))))
(.f64 2 (.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) F) (+.f64 A (-.f64 C (sqrt.f64 (+.f64 (.f64 B B) (pow.f64 (-.f64 A C) 2)))))))
(.f64 2 (.f64 (+.f64 (pow.f64 B 2) (.f64 -4 (.f64 A C))) (*.f64 F (-.f64 (+.f64 A C) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 (-.f64 A C) 2)))))))
(.f64 2 (.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) F) (+.f64 A (-.f64 C (sqrt.f64 (+.f64 (.f64 B B) (pow.f64 (-.f64 A C) 2)))))))
(.f64 2 (.f64 (+.f64 (pow.f64 B 2) (.f64 -4 (.f64 A C))) (*.f64 F (-.f64 (+.f64 A C) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 (-.f64 A C) 2)))))))
(.f64 2 (.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) F) (+.f64 A (-.f64 C (sqrt.f64 (+.f64 (.f64 B B) (pow.f64 (-.f64 A C) 2)))))))
(.f64 2 (.f64 (+.f64 (pow.f64 B 2) (.f64 -4 (.f64 A C))) (*.f64 F (-.f64 (+.f64 A C) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 (-.f64 A C) 2)))))))
(.f64 2 (.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) F) (+.f64 A (-.f64 C (sqrt.f64 (+.f64 (.f64 B B) (pow.f64 (-.f64 A C) 2)))))))
(.f64 2 (.f64 (+.f64 (pow.f64 B 2) (.f64 -4 (.f64 A C))) (*.f64 F (-.f64 (+.f64 A C) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 (-.f64 A C) 2)))))))
(.f64 2 (.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) F) (+.f64 A (-.f64 C (sqrt.f64 (+.f64 (.f64 B B) (pow.f64 (-.f64 A C) 2)))))))
(.f64 2 (.f64 (+.f64 (pow.f64 B 2) (.f64 -4 (.f64 A C))) (*.f64 F (-.f64 (+.f64 A C) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 (-.f64 A C) 2)))))))
(.f64 2 (.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) F) (+.f64 A (-.f64 C (sqrt.f64 (+.f64 (.f64 B B) (pow.f64 (-.f64 A C) 2)))))))
(*.f64 -1 (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))
(neg.f64 (sqrt.f64 (+.f64 (.f64 B B) (.f64 A A))))
(+.f64 (.f64 C (-.f64 1 (.f64 -1 (.f64 A (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))))))) (.f64 -1 (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))))
(fma.f64 C (-.f64 1 (.f64 (neg.f64 A) (sqrt.f64 (/.f64 1 (+.f64 (.f64 B B) (.f64 A A)))))) (neg.f64 (sqrt.f64 (+.f64 (.f64 B B) (*.f64 A A)))))
(+.f64 (.f64 C (-.f64 1 (.f64 -1 (.f64 A (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))))))) (+.f64 (.f64 -1 (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))) (.f64 -1/2 (.f64 (.f64 (-.f64 1 (pow.f64 (.f64 -1 (*.f64 A (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))))) 2)) (pow.f64 C 2)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))))))
(fma.f64 C (-.f64 1 (.f64 (neg.f64 A) (sqrt.f64 (/.f64 1 (+.f64 (.f64 B B) (.f64 A A)))))) (fma.f64 -1 (sqrt.f64 (+.f64 (.f64 B B) (.f64 A A))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 B B) (.f64 A A)))) (.f64 (.f64 C C) (-.f64 1 (pow.f64 (.f64 (neg.f64 A) (sqrt.f64 (/.f64 1 (+.f64 (.f64 B B) (.f64 A A))))) 2)))))))
(+.f64 (.f64 C (-.f64 1 (.f64 -1 (.f64 A (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))))))) (+.f64 (.f64 -1 (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))) (+.f64 (.f64 -1/2 (.f64 (.f64 A (.f64 (pow.f64 C 3) (-.f64 1 (pow.f64 (.f64 -1 (.f64 A (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))))) 2)))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)) 3))))) (.f64 -1/2 (.f64 (.f64 (-.f64 1 (pow.f64 (.f64 -1 (*.f64 A (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))))) 2)) (pow.f64 C 2)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))))))))
(fma.f64 C (-.f64 1 (.f64 (neg.f64 A) (sqrt.f64 (/.f64 1 (+.f64 (.f64 B B) (.f64 A A)))))) (fma.f64 -1 (sqrt.f64 (+.f64 (.f64 B B) (.f64 A A))) (.f64 -1/2 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 B B) (.f64 A A)) 3))) (.f64 (.f64 A (pow.f64 C 3)) (-.f64 1 (pow.f64 (.f64 (neg.f64 A) (sqrt.f64 (/.f64 1 (+.f64 (.f64 B B) (.f64 A A))))) 2)))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 B B) (.f64 A A)))) (.f64 (.f64 C C) (-.f64 1 (pow.f64 (.f64 (neg.f64 A) (sqrt.f64 (/.f64 1 (+.f64 (.f64 B B) (.f64 A A))))) 2))))))))
(fma.f64 C (-.f64 1 (.f64 (neg.f64 A) (sqrt.f64 (/.f64 1 (+.f64 (.f64 B B) (.f64 A A)))))) (fma.f64 -1 (sqrt.f64 (+.f64 (.f64 B B) (.f64 A A))) (.f64 -1/2 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 B B) (.f64 A A)))) (.f64 (.f64 C C) (-.f64 1 (pow.f64 (.f64 (neg.f64 A) (sqrt.f64 (/.f64 1 (+.f64 (.f64 B B) (.f64 A A))))) 2)))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 B B) (.f64 A A)) 3))) (.f64 (.f64 A (pow.f64 C 3)) (-.f64 1 (pow.f64 (.f64 (neg.f64 A) (sqrt.f64 (/.f64 1 (+.f64 (.f64 B B) (.f64 A A))))) 2))))))))
A
(+.f64 A (.f64 -1/2 (/.f64 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)) (pow.f64 (.f64 -1 A) 2)) C)))
(+.f64 A (.f64 -1/2 (/.f64 (+.f64 (.f64 B B) (-.f64 (*.f64 A A) (pow.f64 (neg.f64 A) 2))) C)))
(+.f64 A (/.f64 -1/2 (/.f64 C (+.f64 (.f64 B B) (-.f64 (.f64 A A) (pow.f64 (neg.f64 A) 2))))))
(+.f64 A (+.f64 (.f64 -1/2 (/.f64 (.f64 A (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)) (pow.f64 (.f64 -1 A) 2))) (pow.f64 C 2))) (.f64 -1/2 (/.f64 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)) (pow.f64 (*.f64 -1 A) 2)) C))))
(+.f64 A (.f64 -1/2 (+.f64 (/.f64 A (/.f64 (.f64 C C) (+.f64 (.f64 B B) (-.f64 (.f64 A A) (pow.f64 (neg.f64 A) 2))))) (/.f64 (+.f64 (.f64 B B) (-.f64 (.f64 A A) (pow.f64 (neg.f64 A) 2))) C))))
(+.f64 A (.f64 -1/2 (+.f64 (/.f64 (+.f64 (.f64 B B) (-.f64 (.f64 A A) (pow.f64 (neg.f64 A) 2))) C) (/.f64 (+.f64 (.f64 B B) (-.f64 (.f64 A A) (pow.f64 (neg.f64 A) 2))) (/.f64 (.f64 C C) A)))))
(+.f64 A (+.f64 (.f64 -1/2 (/.f64 (.f64 A (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)) (pow.f64 (.f64 -1 A) 2))) (pow.f64 C 2))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (pow.f64 (.f64 1/2 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)) (pow.f64 (.f64 -1 A) 2))) 2) (.f64 -1 (.f64 (pow.f64 A 2) (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)) (pow.f64 (.f64 -1 A) 2))))) (pow.f64 C 3))) (.f64 -1/2 (/.f64 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)) (pow.f64 (*.f64 -1 A) 2)) C)))))
(+.f64 A (fma.f64 -1/2 (/.f64 A (/.f64 (.f64 C C) (+.f64 (.f64 B B) (-.f64 (.f64 A A) (pow.f64 (neg.f64 A) 2))))) (fma.f64 1/2 (/.f64 (fma.f64 -1 (.f64 (.f64 A A) (+.f64 (.f64 B B) (-.f64 (.f64 A A) (pow.f64 (neg.f64 A) 2)))) (pow.f64 (.f64 1/2 (+.f64 (.f64 B B) (-.f64 (.f64 A A) (pow.f64 (neg.f64 A) 2)))) 2)) (pow.f64 C 3)) (.f64 -1/2 (/.f64 (+.f64 (.f64 B B) (-.f64 (*.f64 A A) (pow.f64 (neg.f64 A) 2))) C)))))
(+.f64 A (fma.f64 -1/2 (/.f64 (+.f64 (.f64 B B) (-.f64 (.f64 A A) (pow.f64 (neg.f64 A) 2))) (/.f64 (.f64 C C) A)) (fma.f64 1/2 (/.f64 (fma.f64 -1 (.f64 (.f64 A A) (+.f64 (.f64 B B) (-.f64 (.f64 A A) (pow.f64 (neg.f64 A) 2)))) (pow.f64 (.f64 1/2 (+.f64 (.f64 B B) (-.f64 (.f64 A A) (pow.f64 (neg.f64 A) 2)))) 2)) (pow.f64 C 3)) (/.f64 -1/2 (/.f64 C (+.f64 (.f64 B B) (-.f64 (.f64 A A) (pow.f64 (neg.f64 A) 2))))))))
(*.f64 2 C)
(+.f64 (.f64 2 C) (.f64 -1 A))
(-.f64 (*.f64 2 C) A)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 B 2) C)) (+.f64 (.f64 2 C) (*.f64 -1 A)))
(fma.f64 1/2 (/.f64 (.f64 B B) C) (-.f64 (.f64 2 C) A))
(fma.f64 1/2 (/.f64 B (/.f64 C B)) (-.f64 (*.f64 2 C) A))
(+.f64 (.f64 1/2 (/.f64 (.f64 A (pow.f64 B 2)) (pow.f64 C 2))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 B 2) C)) (+.f64 (.f64 2 C) (*.f64 -1 A))))
(fma.f64 1/2 (/.f64 A (/.f64 (.f64 C C) (.f64 B B))) (fma.f64 1/2 (/.f64 (.f64 B B) C) (-.f64 (.f64 2 C) A)))
(fma.f64 1/2 (/.f64 A (/.f64 C (/.f64 B (/.f64 C B)))) (fma.f64 1/2 (/.f64 B (/.f64 C B)) (-.f64 (*.f64 2 C) A)))
(-.f64 (*.f64 2 C) A)
(-.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 B 2) (-.f64 A C))) (.f64 2 C)) A)
(-.f64 (fma.f64 -1/2 (/.f64 (.f64 B B) (-.f64 A C)) (.f64 2 C)) A)
(-.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 B 2) (-.f64 A C))) (+.f64 (.f64 2 C) (*.f64 1/8 (/.f64 (pow.f64 B 4) (pow.f64 (-.f64 A C) 3))))) A)
(-.f64 (fma.f64 -1/2 (/.f64 (.f64 B B) (-.f64 A C)) (fma.f64 2 C (/.f64 (.f64 1/8 (pow.f64 B 4)) (pow.f64 (-.f64 A C) 3)))) A)
(-.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 B 2) (-.f64 A C))) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 B 6) (pow.f64 (-.f64 A C) 5))) (+.f64 (.f64 2 C) (.f64 1/8 (/.f64 (pow.f64 B 4) (pow.f64 (-.f64 A C) 3)))))) A)
(-.f64 (fma.f64 -1/2 (/.f64 (.f64 B B) (-.f64 A C)) (fma.f64 -1/16 (/.f64 (pow.f64 B 6) (pow.f64 (-.f64 A C) 5)) (fma.f64 2 C (/.f64 (.f64 1/8 (pow.f64 B 4)) (pow.f64 (-.f64 A C) 3))))) A)
(*.f64 -1 B)
(neg.f64 B)
(+.f64 C (*.f64 -1 B))
(+.f64 C (neg.f64 B))
(+.f64 C (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B)) (.f64 -1 B)))
(+.f64 C (fma.f64 -1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B) (neg.f64 B)))
(+.f64 C (+.f64 (.f64 1/8 (/.f64 (pow.f64 (-.f64 A C) 4) (pow.f64 B 3))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B)) (*.f64 -1 B))))
(+.f64 C (fma.f64 1/8 (/.f64 (pow.f64 (-.f64 A C) 4) (pow.f64 B 3)) (fma.f64 -1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B) (neg.f64 B))))
B
(+.f64 C B)
(+.f64 B C)
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B)) (+.f64 C B))
(fma.f64 1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B) (+.f64 B C))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (-.f64 A C) 4) (pow.f64 B 3))) (+.f64 C B)))
(fma.f64 1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B) (fma.f64 -1/8 (/.f64 (pow.f64 (-.f64 A C) 4) (pow.f64 B 3)) (+.f64 B C)))
(-.f64 C (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2))))
(-.f64 C (sqrt.f64 (+.f64 (.f64 B B) (.f64 C C))))
(-.f64 (+.f64 C (.f64 (.f64 A C) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))))) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2))))
(+.f64 C (-.f64 (.f64 (.f64 A C) (sqrt.f64 (/.f64 1 (+.f64 (.f64 B B) (.f64 C C))))) (sqrt.f64 (+.f64 (.f64 B B) (.f64 C C)))))
(+.f64 (.f64 (.f64 A C) (sqrt.f64 (/.f64 1 (+.f64 (.f64 B B) (.f64 C C))))) (-.f64 C (sqrt.f64 (+.f64 (.f64 B B) (.f64 C C)))))
(-.f64 (+.f64 C (+.f64 (.f64 -1/2 (.f64 (.f64 (pow.f64 A 2) (-.f64 1 (pow.f64 (.f64 -1 (.f64 C (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))))) 2))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))))) (.f64 (*.f64 A C) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2))))))) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2))))
(+.f64 C (-.f64 (fma.f64 -1/2 (.f64 (.f64 A A) (.f64 (-.f64 1 (pow.f64 (.f64 (neg.f64 C) (sqrt.f64 (/.f64 1 (+.f64 (.f64 B B) (.f64 C C))))) 2)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 B B) (.f64 C C)))))) (.f64 (.f64 A C) (sqrt.f64 (/.f64 1 (+.f64 (.f64 B B) (.f64 C C)))))) (sqrt.f64 (+.f64 (.f64 B B) (.f64 C C)))))
(+.f64 (fma.f64 -1/2 (.f64 (.f64 A A) (.f64 (-.f64 1 (pow.f64 (.f64 (neg.f64 C) (sqrt.f64 (/.f64 1 (+.f64 (.f64 B B) (.f64 C C))))) 2)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 B B) (.f64 C C)))))) (.f64 (.f64 A C) (sqrt.f64 (/.f64 1 (+.f64 (.f64 B B) (.f64 C C)))))) (-.f64 C (sqrt.f64 (+.f64 (.f64 B B) (.f64 C C)))))
(-.f64 (+.f64 (.f64 -1/2 (.f64 (.f64 (pow.f64 A 3) (.f64 C (-.f64 1 (pow.f64 (.f64 -1 (.f64 C (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))))) 2)))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)) 3))))) (+.f64 C (+.f64 (.f64 -1/2 (.f64 (.f64 (pow.f64 A 2) (-.f64 1 (pow.f64 (.f64 -1 (.f64 C (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))))) 2))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))))) (.f64 (*.f64 A C) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))))))) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2))))
(-.f64 (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 B B) (.f64 C C)) 3))) (.f64 (pow.f64 A 3) (.f64 C (-.f64 1 (pow.f64 (.f64 (neg.f64 C) (sqrt.f64 (/.f64 1 (+.f64 (.f64 B B) (.f64 C C))))) 2))))) (+.f64 C (fma.f64 -1/2 (.f64 (.f64 A A) (.f64 (-.f64 1 (pow.f64 (.f64 (neg.f64 C) (sqrt.f64 (/.f64 1 (+.f64 (.f64 B B) (.f64 C C))))) 2)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 B B) (.f64 C C)))))) (.f64 (.f64 A C) (sqrt.f64 (/.f64 1 (+.f64 (.f64 B B) (.f64 C C)))))))) (sqrt.f64 (+.f64 (.f64 B B) (.f64 C C))))
(*.f64 -1 A)
(neg.f64 A)
(-.f64 (+.f64 C (.f64 -1 A)) (.f64 -1 C))
(+.f64 C (-.f64 (neg.f64 A) (neg.f64 C)))
(-.f64 (+.f64 C (+.f64 (.f64 -1/2 (/.f64 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)) (pow.f64 (.f64 -1 C) 2)) A)) (.f64 -1 A))) (.f64 -1 C))
(+.f64 C (-.f64 (fma.f64 -1/2 (/.f64 (+.f64 (.f64 B B) (-.f64 (.f64 C C) (pow.f64 (neg.f64 C) 2))) A) (neg.f64 A)) (neg.f64 C)))
(+.f64 (fma.f64 -1/2 (/.f64 (+.f64 (.f64 B B) (-.f64 (.f64 C C) (pow.f64 (neg.f64 C) 2))) A) (neg.f64 A)) (-.f64 C (neg.f64 C)))
(-.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)) (pow.f64 (.f64 -1 C) 2)) C) (pow.f64 A 2))) (+.f64 C (+.f64 (.f64 -1/2 (/.f64 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)) (pow.f64 (.f64 -1 C) 2)) A)) (.f64 -1 A)))) (*.f64 -1 C))
(-.f64 (fma.f64 -1/2 (/.f64 (+.f64 (.f64 B B) (-.f64 (.f64 C C) (pow.f64 (neg.f64 C) 2))) (/.f64 (.f64 A A) C)) (+.f64 C (fma.f64 -1/2 (/.f64 (+.f64 (.f64 B B) (-.f64 (*.f64 C C) (pow.f64 (neg.f64 C) 2))) A) (neg.f64 A)))) (neg.f64 C))
(-.f64 (fma.f64 -1/2 (/.f64 (+.f64 (.f64 B B) (-.f64 (.f64 C C) (pow.f64 (neg.f64 C) 2))) (/.f64 A (/.f64 C A))) (+.f64 C (fma.f64 -1/2 (/.f64 (+.f64 (.f64 B B) (-.f64 (.f64 C C) (pow.f64 (neg.f64 C) 2))) A) (neg.f64 A)))) (neg.f64 C))
A
(+.f64 A (*.f64 1/2 (/.f64 (pow.f64 B 2) A)))
(+.f64 A (.f64 1/2 (/.f64 (.f64 B B) A)))
(+.f64 A (+.f64 (.f64 1/2 (/.f64 (.f64 C (pow.f64 B 2)) (pow.f64 A 2))) (*.f64 1/2 (/.f64 (pow.f64 B 2) A))))
(+.f64 A (.f64 1/2 (+.f64 (/.f64 C (/.f64 (.f64 A A) (.f64 B B))) (/.f64 (.f64 B B) A))))
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(+.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) (+.f64 (+.f64 (neg.f64 (hypot.f64 B (-.f64 A C))) (hypot.f64 B (-.f64 A C))) (fma.f64 (neg.f64 (sqrt.f64 (hypot.f64 B (-.f64 A C)))) (sqrt.f64 (hypot.f64 B (-.f64 A C))) (hypot.f64 B (-.f64 A C)))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (hypot.f64 B (-.f64 A C)))) (sqrt.f64 (hypot.f64 B (-.f64 A C))) (hypot.f64 B (-.f64 A C))) (-.f64 (+.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) (hypot.f64 B (-.f64 A C))) (hypot.f64 B (-.f64 A C))))
(+.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 B (-.f64 A C)))) (pow.f64 (cbrt.f64 (hypot.f64 B (-.f64 A C))) 2) (hypot.f64 B (-.f64 A C))) (fma.f64 (neg.f64 (hypot.f64 B (-.f64 A C))) 1 (hypot.f64 B (-.f64 A C)))))
(+.f64 (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 B (-.f64 A C)))) (pow.f64 (cbrt.f64 (hypot.f64 B (-.f64 A C))) 2) (hypot.f64 B (-.f64 A C))) (-.f64 C (hypot.f64 B (-.f64 A C)))) (+.f64 (neg.f64 (hypot.f64 B (-.f64 A C))) (hypot.f64 B (-.f64 A C))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 B (-.f64 A C)))) (pow.f64 (cbrt.f64 (hypot.f64 B (-.f64 A C))) 2) (hypot.f64 B (-.f64 A C))) (-.f64 (+.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) (hypot.f64 B (-.f64 A C))) (hypot.f64 B (-.f64 A C))))
(+.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) (+.f64 (fma.f64 (neg.f64 (hypot.f64 B (-.f64 A C))) 1 (hypot.f64 B (-.f64 A C))) (fma.f64 (neg.f64 (sqrt.f64 (hypot.f64 B (-.f64 A C)))) (sqrt.f64 (hypot.f64 B (-.f64 A C))) (hypot.f64 B (-.f64 A C)))))
(+.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) (+.f64 (+.f64 (neg.f64 (hypot.f64 B (-.f64 A C))) (hypot.f64 B (-.f64 A C))) (fma.f64 (neg.f64 (sqrt.f64 (hypot.f64 B (-.f64 A C)))) (sqrt.f64 (hypot.f64 B (-.f64 A C))) (hypot.f64 B (-.f64 A C)))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (hypot.f64 B (-.f64 A C)))) (sqrt.f64 (hypot.f64 B (-.f64 A C))) (hypot.f64 B (-.f64 A C))) (-.f64 (+.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) (hypot.f64 B (-.f64 A C))) (hypot.f64 B (-.f64 A C))))
(+.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (hypot.f64 B (-.f64 A C)))) (sqrt.f64 (hypot.f64 B (-.f64 A C))) (hypot.f64 B (-.f64 A C))) (fma.f64 (neg.f64 (sqrt.f64 (hypot.f64 B (-.f64 A C)))) (sqrt.f64 (hypot.f64 B (-.f64 A C))) (hypot.f64 B (-.f64 A C)))))
(+.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) (*.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (hypot.f64 B (-.f64 A C)))) (sqrt.f64 (hypot.f64 B (-.f64 A C))) (hypot.f64 B (-.f64 A C)))))
(+.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 B (-.f64 A C)))) (pow.f64 (cbrt.f64 (hypot.f64 B (-.f64 A C))) 2) (hypot.f64 B (-.f64 A C))) (fma.f64 (neg.f64 (sqrt.f64 (hypot.f64 B (-.f64 A C)))) (sqrt.f64 (hypot.f64 B (-.f64 A C))) (hypot.f64 B (-.f64 A C)))))
(+.f64 (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 B (-.f64 A C)))) (pow.f64 (cbrt.f64 (hypot.f64 B (-.f64 A C))) 2) (hypot.f64 B (-.f64 A C))) (-.f64 C (hypot.f64 B (-.f64 A C)))) (fma.f64 (neg.f64 (sqrt.f64 (hypot.f64 B (-.f64 A C)))) (sqrt.f64 (hypot.f64 B (-.f64 A C))) (hypot.f64 B (-.f64 A C))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (hypot.f64 B (-.f64 A C)))) (sqrt.f64 (hypot.f64 B (-.f64 A C))) (hypot.f64 B (-.f64 A C))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 B (-.f64 A C)))) (pow.f64 (cbrt.f64 (hypot.f64 B (-.f64 A C))) 2) (hypot.f64 B (-.f64 A C))) (-.f64 C (hypot.f64 B (-.f64 A C)))))
(+.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) (+.f64 (fma.f64 (neg.f64 (hypot.f64 B (-.f64 A C))) 1 (hypot.f64 B (-.f64 A C))) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 B (-.f64 A C)))) (pow.f64 (cbrt.f64 (hypot.f64 B (-.f64 A C))) 2) (hypot.f64 B (-.f64 A C)))))
(+.f64 (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 B (-.f64 A C)))) (pow.f64 (cbrt.f64 (hypot.f64 B (-.f64 A C))) 2) (hypot.f64 B (-.f64 A C))) (-.f64 C (hypot.f64 B (-.f64 A C)))) (+.f64 (neg.f64 (hypot.f64 B (-.f64 A C))) (hypot.f64 B (-.f64 A C))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 B (-.f64 A C)))) (pow.f64 (cbrt.f64 (hypot.f64 B (-.f64 A C))) 2) (hypot.f64 B (-.f64 A C))) (-.f64 (+.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) (hypot.f64 B (-.f64 A C))) (hypot.f64 B (-.f64 A C))))
(+.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (hypot.f64 B (-.f64 A C)))) (sqrt.f64 (hypot.f64 B (-.f64 A C))) (hypot.f64 B (-.f64 A C))) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 B (-.f64 A C)))) (pow.f64 (cbrt.f64 (hypot.f64 B (-.f64 A C))) 2) (hypot.f64 B (-.f64 A C)))))
(+.f64 (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 B (-.f64 A C)))) (pow.f64 (cbrt.f64 (hypot.f64 B (-.f64 A C))) 2) (hypot.f64 B (-.f64 A C))) (-.f64 C (hypot.f64 B (-.f64 A C)))) (fma.f64 (neg.f64 (sqrt.f64 (hypot.f64 B (-.f64 A C)))) (sqrt.f64 (hypot.f64 B (-.f64 A C))) (hypot.f64 B (-.f64 A C))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (hypot.f64 B (-.f64 A C)))) (sqrt.f64 (hypot.f64 B (-.f64 A C))) (hypot.f64 B (-.f64 A C))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 B (-.f64 A C)))) (pow.f64 (cbrt.f64 (hypot.f64 B (-.f64 A C))) 2) (hypot.f64 B (-.f64 A C))) (-.f64 C (hypot.f64 B (-.f64 A C)))))
(+.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 B (-.f64 A C)))) (pow.f64 (cbrt.f64 (hypot.f64 B (-.f64 A C))) 2) (hypot.f64 B (-.f64 A C))) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 B (-.f64 A C)))) (pow.f64 (cbrt.f64 (hypot.f64 B (-.f64 A C))) 2) (hypot.f64 B (-.f64 A C)))))
(+.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) (*.f64 2 (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 B (-.f64 A C)))) (pow.f64 (cbrt.f64 (hypot.f64 B (-.f64 A C))) 2) (hypot.f64 B (-.f64 A C)))))
(+.f64 (neg.f64 (hypot.f64 B (-.f64 A C))) C)
(-.f64 C (hypot.f64 B (-.f64 A C)))
(+.f64 (neg.f64 (hypot.f64 B (-.f64 A C))) (+.f64 C (fma.f64 (neg.f64 (hypot.f64 B (-.f64 A C))) 1 (hypot.f64 B (-.f64 A C)))))
(+.f64 (+.f64 (neg.f64 (hypot.f64 B (-.f64 A C))) (hypot.f64 B (-.f64 A C))) (-.f64 C (hypot.f64 B (-.f64 A C))))
(-.f64 (+.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) (hypot.f64 B (-.f64 A C))) (hypot.f64 B (-.f64 A C)))
(+.f64 (neg.f64 (hypot.f64 B (-.f64 A C))) (+.f64 C (fma.f64 (neg.f64 (sqrt.f64 (hypot.f64 B (-.f64 A C)))) (sqrt.f64 (hypot.f64 B (-.f64 A C))) (hypot.f64 B (-.f64 A C)))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (hypot.f64 B (-.f64 A C)))) (sqrt.f64 (hypot.f64 B (-.f64 A C))) (hypot.f64 B (-.f64 A C))) (-.f64 C (hypot.f64 B (-.f64 A C))))
(+.f64 (neg.f64 (hypot.f64 B (-.f64 A C))) (+.f64 C (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 B (-.f64 A C)))) (pow.f64 (cbrt.f64 (hypot.f64 B (-.f64 A C))) 2) (hypot.f64 B (-.f64 A C)))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 B (-.f64 A C)))) (pow.f64 (cbrt.f64 (hypot.f64 B (-.f64 A C))) 2) (hypot.f64 B (-.f64 A C))) (-.f64 C (hypot.f64 B (-.f64 A C))))
(+.f64 (*.f64 (neg.f64 (hypot.f64 B (-.f64 A C))) 1) C)
(-.f64 C (hypot.f64 B (-.f64 A C)))
(+.f64 (fma.f64 (neg.f64 (hypot.f64 B (-.f64 A C))) 1 (hypot.f64 B (-.f64 A C))) (-.f64 C (hypot.f64 B (-.f64 A C))))
(+.f64 (+.f64 (neg.f64 (hypot.f64 B (-.f64 A C))) (hypot.f64 B (-.f64 A C))) (-.f64 C (hypot.f64 B (-.f64 A C))))
(-.f64 (+.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) (hypot.f64 B (-.f64 A C))) (hypot.f64 B (-.f64 A C)))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (hypot.f64 B (-.f64 A C)))) (sqrt.f64 (hypot.f64 B (-.f64 A C))) (hypot.f64 B (-.f64 A C))) (-.f64 C (hypot.f64 B (-.f64 A C))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 B (-.f64 A C)))) (pow.f64 (cbrt.f64 (hypot.f64 B (-.f64 A C))) 2) (hypot.f64 B (-.f64 A C))) (-.f64 C (hypot.f64 B (-.f64 A C))))
(*.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) 1)
(-.f64 C (hypot.f64 B (-.f64 A C)))
(*.f64 1 (-.f64 C (hypot.f64 B (-.f64 A C))))
(-.f64 C (hypot.f64 B (-.f64 A C)))
(*.f64 (sqrt.f64 (-.f64 C (hypot.f64 B (-.f64 A C)))) (sqrt.f64 (-.f64 C (hypot.f64 B (-.f64 A C)))))
(-.f64 C (hypot.f64 B (-.f64 A C)))
(*.f64 (cbrt.f64 (-.f64 C (hypot.f64 B (-.f64 A C)))) (pow.f64 (cbrt.f64 (-.f64 C (hypot.f64 B (-.f64 A C)))) 2))
(-.f64 C (hypot.f64 B (-.f64 A C)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 C (hypot.f64 B (-.f64 A C)))) 2) (cbrt.f64 (-.f64 C (hypot.f64 B (-.f64 A C)))))
(-.f64 C (hypot.f64 B (-.f64 A C)))
(.f64 (-.f64 (.f64 C C) (pow.f64 (hypot.f64 B (-.f64 A C)) 2)) (/.f64 1 (+.f64 C (hypot.f64 B (-.f64 A C)))))
(.f64 (-.f64 (pow.f64 C 3) (pow.f64 (hypot.f64 B (-.f64 A C)) 3)) (/.f64 1 (fma.f64 C C (.f64 (hypot.f64 B (-.f64 A C)) (+.f64 C (hypot.f64 B (-.f64 A C)))))))
(/.f64 (.f64 (-.f64 (pow.f64 C 3) (pow.f64 (hypot.f64 B (-.f64 A C)) 3)) 1) (fma.f64 C C (.f64 (hypot.f64 B (-.f64 A C)) (+.f64 C (hypot.f64 B (-.f64 A C))))))
(/.f64 (-.f64 (pow.f64 C 3) (pow.f64 (hypot.f64 B (-.f64 A C)) 3)) (/.f64 (fma.f64 C C (*.f64 (hypot.f64 B (-.f64 A C)) (+.f64 C (hypot.f64 B (-.f64 A C))))) 1))
(*.f64 (+.f64 (sqrt.f64 (hypot.f64 B (-.f64 A C))) (sqrt.f64 C)) (-.f64 (sqrt.f64 C) (sqrt.f64 (hypot.f64 B (-.f64 A C)))))
(/.f64 1 (/.f64 (+.f64 C (hypot.f64 B (-.f64 A C))) (-.f64 (*.f64 C C) (pow.f64 (hypot.f64 B (-.f64 A C)) 2))))
(.f64 (-.f64 (.f64 C C) (pow.f64 (hypot.f64 B (-.f64 A C)) 2)) (/.f64 1 (+.f64 C (hypot.f64 B (-.f64 A C)))))
(/.f64 1 (/.f64 (fma.f64 C C (*.f64 (hypot.f64 B (-.f64 A C)) (+.f64 C (hypot.f64 B (-.f64 A C))))) (-.f64 (pow.f64 C 3) (pow.f64 (hypot.f64 B (-.f64 A C)) 3))))
(/.f64 (.f64 (-.f64 (pow.f64 C 3) (pow.f64 (hypot.f64 B (-.f64 A C)) 3)) 1) (fma.f64 C C (.f64 (hypot.f64 B (-.f64 A C)) (+.f64 C (hypot.f64 B (-.f64 A C))))))
(/.f64 (-.f64 (pow.f64 C 3) (pow.f64 (hypot.f64 B (-.f64 A C)) 3)) (/.f64 (fma.f64 C C (*.f64 (hypot.f64 B (-.f64 A C)) (+.f64 C (hypot.f64 B (-.f64 A C))))) 1))
(/.f64 (-.f64 (*.f64 C C) (pow.f64 (hypot.f64 B (-.f64 A C)) 2)) (+.f64 C (hypot.f64 B (-.f64 A C))))
(/.f64 (-.f64 (pow.f64 C 3) (pow.f64 (hypot.f64 B (-.f64 A C)) 3)) (fma.f64 C C (*.f64 (hypot.f64 B (-.f64 A C)) (+.f64 C (hypot.f64 B (-.f64 A C))))))
(/.f64 (-.f64 (.f64 C C) (.f64 (neg.f64 (hypot.f64 B (-.f64 A C))) (neg.f64 (hypot.f64 B (-.f64 A C))))) (-.f64 C (neg.f64 (hypot.f64 B (-.f64 A C)))))
(/.f64 (-.f64 (*.f64 C C) (pow.f64 (hypot.f64 B (-.f64 A C)) 2)) (-.f64 C (neg.f64 (hypot.f64 B (-.f64 A C)))))
(/.f64 (+.f64 (pow.f64 C 3) (pow.f64 (neg.f64 (hypot.f64 B (-.f64 A C))) 3)) (-.f64 (+.f64 (.f64 C C) (.f64 (neg.f64 (hypot.f64 B (-.f64 A C))) (neg.f64 (hypot.f64 B (-.f64 A C))))) (*.f64 C (neg.f64 (hypot.f64 B (-.f64 A C))))))
(/.f64 (-.f64 (pow.f64 C 3) (pow.f64 (hypot.f64 B (-.f64 A C)) 3)) (-.f64 (fma.f64 C C (pow.f64 (hypot.f64 B (-.f64 A C)) 2)) (*.f64 C (neg.f64 (hypot.f64 B (-.f64 A C))))))
(/.f64 (neg.f64 (-.f64 (*.f64 C C) (pow.f64 (hypot.f64 B (-.f64 A C)) 2))) (neg.f64 (+.f64 C (hypot.f64 B (-.f64 A C)))))
(/.f64 (neg.f64 (-.f64 (*.f64 C C) (pow.f64 (hypot.f64 B (-.f64 A C)) 2))) (-.f64 (neg.f64 (hypot.f64 B (-.f64 A C))) C))
(/.f64 (neg.f64 (-.f64 (pow.f64 C 3) (pow.f64 (hypot.f64 B (-.f64 A C)) 3))) (neg.f64 (fma.f64 C C (*.f64 (hypot.f64 B (-.f64 A C)) (+.f64 C (hypot.f64 B (-.f64 A C)))))))
(pow.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) 1)
(-.f64 C (hypot.f64 B (-.f64 A C)))
(pow.f64 (sqrt.f64 (-.f64 C (hypot.f64 B (-.f64 A C)))) 2)
(-.f64 C (hypot.f64 B (-.f64 A C)))
(pow.f64 (cbrt.f64 (-.f64 C (hypot.f64 B (-.f64 A C)))) 3)
(-.f64 C (hypot.f64 B (-.f64 A C)))
(pow.f64 (pow.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) 3) 1/3)
(-.f64 C (hypot.f64 B (-.f64 A C)))
(sqrt.f64 (pow.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) 2))
(log.f64 (exp.f64 (-.f64 C (hypot.f64 B (-.f64 A C)))))
(-.f64 C (hypot.f64 B (-.f64 A C)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 C (hypot.f64 B (-.f64 A C))))))
(-.f64 C (hypot.f64 B (-.f64 A C)))
(cbrt.f64 (pow.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) 3))
(-.f64 C (hypot.f64 B (-.f64 A C)))
(expm1.f64 (log1p.f64 (-.f64 C (hypot.f64 B (-.f64 A C)))))
(-.f64 C (hypot.f64 B (-.f64 A C)))
(exp.f64 (log.f64 (-.f64 C (hypot.f64 B (-.f64 A C)))))
(-.f64 C (hypot.f64 B (-.f64 A C)))
(exp.f64 (*.f64 (log.f64 (-.f64 C (hypot.f64 B (-.f64 A C)))) 1))
(-.f64 C (hypot.f64 B (-.f64 A C)))
(log1p.f64 (expm1.f64 (-.f64 C (hypot.f64 B (-.f64 A C)))))
(-.f64 C (hypot.f64 B (-.f64 A C)))
(fma.f64 1 C (neg.f64 (hypot.f64 B (-.f64 A C))))
(fma.f64 (sqrt.f64 C) (sqrt.f64 C) (neg.f64 (hypot.f64 B (-.f64 A C))))
(fma.f64 (pow.f64 (cbrt.f64 C) 2) (cbrt.f64 C) (neg.f64 (hypot.f64 B (-.f64 A C))))

eval1.6s (3.3%)

Compiler: Compiled 113148 to 58458 computations (48.3% saved)

prune786.0ms (1.6%)

Pruning

59 alts after pruning (59 fresh and 0 done)

	Pruned	Kept	Total
New	1423	59	1482
Fresh	0	0	0
Picked	1	0	1
Done	2	0	2
Total	1426	59	1485

Error

33.0b

Counts

1485 → 59

Alt Table

Click to see full alt table

Status	Error	Program
	57.8b	(fma.f64 -1 (.f64 (/.f64 (sqrt.f64 2) B) (sqrt.f64 (.f64 F (-.f64 A (sqrt.f64 (+.f64 (.f64 B B) (.f64 A A))))))) (.f64 (.f64 -1/2 (sqrt.f64 (/.f64 (/.f64 1 F) (-.f64 A (sqrt.f64 (+.f64 (.f64 B B) (.f64 A A))))))) (.f64 (.f64 (sqrt.f64 2) C) (.f64 B (+.f64 (/.f64 (-.f64 1 (.f64 (neg.f64 A) (sqrt.f64 (/.f64 1 (+.f64 (.f64 B B) (.f64 A A)))))) (/.f64 B (/.f64 F B))) (/.f64 (.f64 4 A) (/.f64 (/.f64 (pow.f64 B 4) F) (-.f64 A (sqrt.f64 (+.f64 (.f64 B B) (*.f64 A A)))))))))))
	63.4b	(pow.f64 (/.f64 (pow.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 F))) 1/4) (hypot.f64 B (sqrt.f64 (.f64 A (*.f64 C -4))))) 2)
	53.4b	(/.f64 (/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 2 F))))) (hypot.f64 B (sqrt.f64 (.f64 A (.f64 C -4))))) (hypot.f64 B (sqrt.f64 (.f64 A (*.f64 C -4)))))
	57.3b	(/.f64 (neg.f64 (fma.f64 (sqrt.f64 (.f64 F (-.f64 C (sqrt.f64 (+.f64 (.f64 B B) (.f64 C C)))))) (.f64 B (sqrt.f64 2)) (.f64 1/2 (/.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 F (-.f64 C (sqrt.f64 (+.f64 (.f64 B B) (.f64 C C))))))) A) (/.f64 (/.f64 B (sqrt.f64 2)) (fma.f64 F (.f64 (.f64 B B) (-.f64 1 (.f64 (neg.f64 C) (sqrt.f64 (/.f64 1 (+.f64 (.f64 B B) (.f64 C C))))))) (.f64 -4 (.f64 (-.f64 C (sqrt.f64 (+.f64 (.f64 B B) (.f64 C C)))) (.f64 C F))))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
	57.4b	(/.f64 (neg.f64 (fma.f64 (sqrt.f64 (.f64 F (-.f64 A (sqrt.f64 (+.f64 (.f64 B B) (.f64 A A)))))) (.f64 B (sqrt.f64 2)) (.f64 1/2 (/.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 F (-.f64 A (sqrt.f64 (+.f64 (.f64 B B) (.f64 A A))))))) (sqrt.f64 2)) (/.f64 (/.f64 B C) (fma.f64 F (.f64 (.f64 B B) (-.f64 1 (.f64 (neg.f64 A) (sqrt.f64 (/.f64 1 (+.f64 (.f64 B B) (.f64 A A))))))) (.f64 -4 (.f64 (-.f64 A (sqrt.f64 (+.f64 (.f64 B B) (.f64 A A)))) (.f64 A F))))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
	48.8b	(/.f64 (neg.f64 (.f64 (hypot.f64 B (sqrt.f64 (.f64 A (.f64 C -4)))) (sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 2 F))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
	61.8b	(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))) (sqrt.f64 (.f64 2 F)))) (fma.f64 B B (.f64 A (*.f64 C -4))))
	48.7b	(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) F))) (sqrt.f64 2))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
	56.4b	(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (-.f64 C (sqrt.f64 (+.f64 (.f64 B B) (.f64 C C)))))) (.f64 B (sqrt.f64 2)))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
▶	56.6b	(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (-.f64 A (sqrt.f64 (+.f64 (.f64 B B) (.f64 A A)))))) (.f64 B (sqrt.f64 2)))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
▶	45.0b	(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))) (sqrt.f64 (.f64 2 (fma.f64 B B (.f64 A (.f64 C -4))))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
	60.4b	(/.f64 (neg.f64 (sqrt.f64 (fma.f64 -16 (.f64 A (.f64 F (.f64 C C))) (.f64 (.f64 2 F) (.f64 (.f64 B B) (.f64 2 (+.f64 (/.f64 (.f64 A C) (-.f64 A C)) C))))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
	50.7b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (+.f64 A (+.f64 (.f64 (.f64 A C) (sqrt.f64 (/.f64 1 (+.f64 (.f64 B B) (.f64 C C))))) (-.f64 C (sqrt.f64 (+.f64 (.f64 B B) (.f64 C C)))))) (.f64 2 F))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
	59.6b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (+.f64 A (+.f64 (.f64 1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B)) (+.f64 C B))) (.f64 2 F))))) (fma.f64 B B (.f64 A (.f64 C -4))))
	59.6b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (+.f64 A (+.f64 C (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B)) (.f64 -1 B)))) (.f64 2 F))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
	58.3b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (+.f64 A (+.f64 A (.f64 1/2 (/.f64 (.f64 B B) A)))) (.f64 2 F))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
	57.0b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (+.f64 A (+.f64 A (.f64 -1/2 (/.f64 (+.f64 (.f64 B B) (-.f64 (.f64 A A) (pow.f64 (neg.f64 A) 2))) C)))) (.f64 2 F))))) (fma.f64 B B (.f64 A (.f64 C -4))))
	62.7b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (+.f64 A (neg.f64 A)) (.f64 2 F))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
	57.1b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (+.f64 A A) (.f64 2 F))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
	63.5b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (neg.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 2 F)))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
	59.4b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 -2 F) (pow.f64 B 3)))) (fma.f64 B B (.f64 A (.f64 C -4))))
	59.0b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 -8 A) (.f64 (.f64 F C) (-.f64 C (neg.f64 C)))))) (fma.f64 B B (.f64 A (.f64 C -4))))
	58.9b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 -8 A) (.f64 (.f64 F C) (-.f64 A (neg.f64 A)))))) (fma.f64 B B (.f64 A (.f64 C -4))))
	59.5b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 -16 (.f64 A A)) (.f64 F C)))) (fma.f64 B B (.f64 A (.f64 C -4))))
	60.4b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 -16 A) (.f64 F (.f64 C C))))) (fma.f64 B B (.f64 A (.f64 C -4))))
	59.8b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (fma.f64 2 (.f64 (.f64 F C) (+.f64 (.f64 B B) (-.f64 (.f64 C C) (pow.f64 (neg.f64 C) 2)))) (fma.f64 (-.f64 C (neg.f64 C)) (.f64 F (.f64 B B)) (fma.f64 2 (/.f64 (+.f64 (.f64 B B) (-.f64 (.f64 C C) (pow.f64 (neg.f64 C) 2))) (/.f64 A (.f64 F (.f64 C C)))) (fma.f64 -4 (.f64 (.f64 A C) (.f64 F (-.f64 C (neg.f64 C)))) (.f64 -1/2 (/.f64 (+.f64 (.f64 B B) (-.f64 (.f64 C C) (pow.f64 (neg.f64 C) 2))) (/.f64 A (.f64 F (.f64 B B)))))))))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
	60.2b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (+.f64 (.f64 F (pow.f64 B 3)) (+.f64 (.f64 F (.f64 (+.f64 A C) (pow.f64 B 2))) (.f64 -1 (.f64 (+.f64 (.f64 4 (.f64 A (.f64 C F))) (.f64 -1/2 (.f64 (pow.f64 (-.f64 A C) 2) F))) B))))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
	59.5b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (+.f64 (.f64 -4 (.f64 A (.f64 (-.f64 A (.f64 -1 A)) (.f64 C F)))) (+.f64 (/.f64 (.f64 F (+.f64 (.f64 2 (.f64 (pow.f64 A 2) (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)) (pow.f64 (.f64 -1 A) 2)))) (.f64 -1/2 (.f64 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)) (pow.f64 (.f64 -1 A) 2)) (pow.f64 B 2))))) C) (.f64 F (+.f64 (.f64 (-.f64 A (.f64 -1 A)) (pow.f64 B 2)) (.f64 2 (.f64 A (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)) (pow.f64 (.f64 -1 A) 2))))))))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
	58.1b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) (.f64 F (fma.f64 1/2 (/.f64 (.f64 B B) C) (.f64 2 C))))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
	57.0b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) (.f64 F (fma.f64 -1/2 (/.f64 (.f64 B B) (-.f64 A C)) (.f64 2 C))))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
	57.3b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) (.f64 F (.f64 2 C)))))) (fma.f64 B B (.f64 A (.f64 -4 C))))
	59.0b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) (.f64 F (neg.f64 B)))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
	59.1b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) (.f64 F B))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
	54.5b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (-.f64 C (sqrt.f64 (+.f64 (.f64 B B) (.f64 C C)))) (.f64 F (.f64 B B)))))) (fma.f64 B B (.f64 A (.f64 C -4))))
	51.1b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (pow.f64 (pow.f64 (fma.f64 B B (pow.f64 (-.f64 A C) 2)) 1/4) 2))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
	61.8b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (+.f64 (-.f64 A C) (.f64 1/2 (/.f64 (+.f64 (.f64 B B) (-.f64 (.f64 C C) (pow.f64 (neg.f64 C) 2))) A))))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
	60.4b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (+.f64 (-.f64 A C) (.f64 -1/2 (/.f64 (.f64 B B) C))))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
▶	59.5b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (+.f64 (.f64 1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B)) B))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
	59.6b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B)) (.f64 -1 B)))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
	60.0b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (+.f64 C (fma.f64 -1/2 (/.f64 (.f64 B B) A) (neg.f64 A))))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
	59.8b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (neg.f64 C))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
	58.3b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (neg.f64 B))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
	59.8b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (neg.f64 A))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
	62.2b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C C)))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
	58.3b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C B)))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
▶	62.5b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C A)))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
	59.6b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 -4 (.f64 (.f64 A C) F)) (+.f64 A (-.f64 C (sqrt.f64 (+.f64 (.f64 B B) (pow.f64 (-.f64 A C) 2))))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
	59.6b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 F (pow.f64 B 3))))) (fma.f64 B B (.f64 A (.f64 C -4))))
	59.8b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 F (+.f64 (pow.f64 B 3) (.f64 (.f64 B B) (+.f64 A C))))))) (fma.f64 B B (.f64 A (.f64 -4 C))))
	57.6b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 -4 (.f64 (.f64 A C) (.f64 F (-.f64 C (neg.f64 C)))))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
	60.4b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 -8 (.f64 A (.f64 F (.f64 C C))))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
	63.3b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (log.f64 (pow.f64 (exp.f64 (fma.f64 B B (.f64 A (.f64 -4 C)))) (.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))))))) (fma.f64 B B (.f64 A (.f64 -4 C))))
	62.3b	(/.f64 (neg.f64 (sqrt.f64 (log.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 F) 2) (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))) (fma.f64 B B (.f64 A (.f64 C -4))))))) (fma.f64 B B (.f64 A (.f64 C -4))))
	63.1b	(/.f64 1 (/.f64 (hypot.f64 B (sqrt.f64 (.f64 A (.f64 C -4)))) (sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 2 F)))))
	48.8b	(.f64 (/.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 2 F)))) (cbrt.f64 (fma.f64 B B (.f64 A (.f64 C -4))))) (/.f64 -1 (pow.f64 (cbrt.f64 (fma.f64 B B (.f64 A (.f64 C -4)))) 2)))
	56.4b	(.f64 (/.f64 (neg.f64 (sqrt.f64 2)) B) (sqrt.f64 (.f64 F (-.f64 C (sqrt.f64 (+.f64 (.f64 B B) (.f64 C C)))))))
	56.4b	(.f64 (/.f64 (neg.f64 (sqrt.f64 2)) B) (sqrt.f64 (.f64 F (-.f64 A (sqrt.f64 (+.f64 (.f64 B B) (.f64 A A)))))))
	49.0b	(.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 F)))) (/.f64 1 (neg.f64 (fma.f64 B B (.f64 A (.f64 C -4))))))
▶	61.9b	(sqrt.f64 (/.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 F))) (pow.f64 (fma.f64 B B (.f64 A (*.f64 C -4))) 2)))

Compiler

Compiled 4928 to 3058 computations (37.9% saved)

localize65.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.0b	(-.f64 C (hypot.f64 B (-.f64 A C)))
✓	10.8b	(sqrt.f64 (*.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))
✓	19.2b	(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))) (sqrt.f64 (.f64 2 (fma.f64 B B (.f64 A (.f64 C -4))))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
✓	20.6b	(sqrt.f64 (.f64 2 (fma.f64 B B (.f64 A (*.f64 C -4)))))

Compiler

Compiled 193 to 74 computations (61.7% saved)

series33.0ms (0.1%)

Counts

3 → 60

Calls

33 calls:

Time	Variable		Point	Expression
4.0ms	B	@	inf	(sqrt.f64 (.f64 2 (fma.f64 B B (.f64 A (*.f64 C -4)))))
3.0ms	A	@	inf	(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))) (sqrt.f64 (.f64 2 (fma.f64 B B (.f64 A (.f64 C -4))))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
2.0ms	C	@	0	(sqrt.f64 (*.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))
2.0ms	F	@	-inf	(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))) (sqrt.f64 (.f64 2 (fma.f64 B B (.f64 A (.f64 C -4))))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
1.0ms	A	@	0	(sqrt.f64 (*.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))

rewrite118.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

558×	`add-sqr-sqrt`
542×	`*-un-lft-identity`
538×	`pow1`
512×	`add-exp-log`
512×	`log1p-expm1-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	163
1	599	159
2	7495	159

Stop Event

1×	node limit

Counts

3 → 102

Calls

Call 1

Inputs

(sqrt.f64 (*.f64 2 (fma.f64 B B (*.f64 A (*.f64 C -4)))))

(/.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))) (sqrt.f64 (*.f64 2 (fma.f64 B B (*.f64 A (*.f64 C -4))))))) (fma.f64 B B (*.f64 A (*.f64 -4 C))))

(sqrt.f64 (*.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))) 1/4) (pow.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 F) (sqrt.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))) (sqrt.f64 F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))) (cbrt.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))) (cbrt.f64 (sqrt.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))))))))

simplify166.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1736×	`associate-r`
1394×	`associate-l`
1010×	`associate-/l*`
844×	`associate-/r*`
716×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	851	25472
1	2610	25420

Stop Event

1×	node limit

Counts

162 → 298

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 A C)) (*.f64 (sqrt.f64 2) (sqrt.f64 -4)))
(+.f64 (.f64 1/2 (.f64 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 B 2)) (sqrt.f64 -4)) (sqrt.f64 (/.f64 1 (.f64 A C))))) (.f64 (sqrt.f64 (.f64 A C)) (*.f64 (sqrt.f64 2) (sqrt.f64 -4))))
(+.f64 (.f64 -1/8 (.f64 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 B 4)) (pow.f64 (sqrt.f64 -4) 3)) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 A 3) (pow.f64 C 3)))))) (+.f64 (.f64 1/2 (.f64 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 B 2)) (sqrt.f64 -4)) (sqrt.f64 (/.f64 1 (.f64 A C))))) (.f64 (sqrt.f64 (.f64 A C)) (*.f64 (sqrt.f64 2) (sqrt.f64 -4)))))
(+.f64 (.f64 -1/8 (.f64 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 B 4)) (pow.f64 (sqrt.f64 -4) 3)) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 A 3) (pow.f64 C 3)))))) (+.f64 (.f64 1/2 (.f64 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 B 2)) (sqrt.f64 -4)) (sqrt.f64 (/.f64 1 (.f64 A C))))) (+.f64 (.f64 1/16 (.f64 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 B 6)) (pow.f64 (sqrt.f64 -4) 5)) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 A 5) (pow.f64 C 5)))))) (.f64 (sqrt.f64 (.f64 A C)) (*.f64 (sqrt.f64 2) (sqrt.f64 -4))))))
(*.f64 (sqrt.f64 2) B)
(+.f64 (.f64 -2 (/.f64 (.f64 A (.f64 (sqrt.f64 2) C)) B)) (.f64 (sqrt.f64 2) B))
(+.f64 (.f64 -2 (/.f64 (.f64 A (.f64 (sqrt.f64 2) C)) B)) (+.f64 (.f64 (sqrt.f64 2) B) (.f64 -2 (/.f64 (.f64 (pow.f64 A 2) (*.f64 (sqrt.f64 2) (pow.f64 C 2))) (pow.f64 B 3)))))
(+.f64 (.f64 -2 (/.f64 (.f64 A (.f64 (sqrt.f64 2) C)) B)) (+.f64 (.f64 (sqrt.f64 2) B) (+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 A 2) (.f64 (sqrt.f64 2) (pow.f64 C 2))) (pow.f64 B 3))) (.f64 -4 (/.f64 (.f64 (pow.f64 A 3) (.f64 (sqrt.f64 2) (pow.f64 C 3))) (pow.f64 B 5))))))
(.f64 -1 (.f64 (sqrt.f64 2) B))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 2) B)) (.f64 2 (/.f64 (.f64 A (*.f64 (sqrt.f64 2) C)) B)))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 2) B)) (+.f64 (.f64 2 (/.f64 (.f64 A (.f64 (sqrt.f64 2) C)) B)) (.f64 2 (/.f64 (.f64 (pow.f64 A 2) (.f64 (sqrt.f64 2) (pow.f64 C 2))) (pow.f64 B 3)))))
(+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 A 3) (.f64 (sqrt.f64 2) (pow.f64 C 3))) (pow.f64 B 5))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 2) B)) (+.f64 (.f64 2 (/.f64 (.f64 A (.f64 (sqrt.f64 2) C)) B)) (.f64 2 (/.f64 (.f64 (pow.f64 A 2) (*.f64 (sqrt.f64 2) (pow.f64 C 2))) (pow.f64 B 3))))))
(*.f64 (sqrt.f64 2) B)
(+.f64 (.f64 (sqrt.f64 2) B) (.f64 -2 (/.f64 (.f64 (sqrt.f64 2) (.f64 A C)) B)))
(+.f64 (.f64 (sqrt.f64 2) B) (+.f64 (.f64 -2 (/.f64 (.f64 (sqrt.f64 2) (.f64 A C)) B)) (.f64 -2 (/.f64 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 A 2) (pow.f64 C 2))) (pow.f64 B 3)))))
(+.f64 (.f64 (sqrt.f64 2) B) (+.f64 (.f64 -2 (/.f64 (.f64 (sqrt.f64 2) (.f64 A C)) B)) (+.f64 (.f64 -2 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 A 2) (pow.f64 C 2))) (pow.f64 B 3))) (.f64 -4 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 A 3) (pow.f64 C 3))) (pow.f64 B 5))))))
(*.f64 (sqrt.f64 2) B)
(+.f64 (.f64 -2 (/.f64 (.f64 A (.f64 (sqrt.f64 2) C)) B)) (.f64 (sqrt.f64 2) B))
(+.f64 (.f64 -2 (/.f64 (.f64 A (.f64 (sqrt.f64 2) C)) B)) (+.f64 (.f64 (sqrt.f64 2) B) (.f64 -2 (/.f64 (.f64 (pow.f64 A 2) (*.f64 (sqrt.f64 2) (pow.f64 C 2))) (pow.f64 B 3)))))
(+.f64 (.f64 -2 (/.f64 (.f64 A (.f64 (sqrt.f64 2) C)) B)) (+.f64 (.f64 (sqrt.f64 2) B) (+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 A 2) (.f64 (sqrt.f64 2) (pow.f64 C 2))) (pow.f64 B 3))) (.f64 -4 (/.f64 (.f64 (pow.f64 A 3) (.f64 (sqrt.f64 2) (pow.f64 C 3))) (pow.f64 B 5))))))
(.f64 -1 (.f64 (/.f64 (sqrt.f64 2) B) (sqrt.f64 (*.f64 (-.f64 C (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))) F))))
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(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (.f64 F (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 (fma.f64 B B (.f64 A (.f64 C -4))))))) (fma.f64 B B (.f64 A (*.f64 C -4))))))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (.f64 F (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 (fma.f64 B B (.f64 A (.f64 C -4))))))) (fma.f64 B B (.f64 A (*.f64 C -4))))))
(exp.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 (.f64 F (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 (fma.f64 B B (.f64 A (.f64 C -4))))))) (fma.f64 B B (.f64 A (.f64 C -4))))) 1))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (.f64 F (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 (fma.f64 B B (.f64 A (.f64 C -4))))))) (fma.f64 B B (.f64 A (*.f64 C -4))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))))) 1)
(.f64 (sqrt.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))) 1)
(.f64 1 (sqrt.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))))
(.f64 (pow.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))) 1/4) (pow.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))) 1/4))
(*.f64 (sqrt.f64 F) (sqrt.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))
(*.f64 (sqrt.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))) (sqrt.f64 F))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))) (cbrt.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))))
(.f64 (cbrt.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))) (cbrt.f64 (sqrt.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))) 1/2))
(pow.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))) 1/2)
(pow.f64 (sqrt.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))) 1)
(pow.f64 (pow.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))) 3)
(pow.f64 (pow.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))))))
(cbrt.f64 (pow.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))))
(exp.f64 (.f64 (log.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))) 1/2))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))))

Outputs
(.f64 (sqrt.f64 (.f64 A C)) (*.f64 (sqrt.f64 2) (sqrt.f64 -4)))
(+.f64 (.f64 1/2 (.f64 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 B 2)) (sqrt.f64 -4)) (sqrt.f64 (/.f64 1 (.f64 A C))))) (.f64 (sqrt.f64 (.f64 A C)) (*.f64 (sqrt.f64 2) (sqrt.f64 -4))))
(fma.f64 1/2 (.f64 (/.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 -4) (.f64 B B))) (sqrt.f64 (/.f64 1 (.f64 A C)))) (.f64 (sqrt.f64 (.f64 A C)) (.f64 (sqrt.f64 2) (sqrt.f64 -4))))
(fma.f64 1/2 (.f64 (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -4)) (.f64 B B)) (sqrt.f64 (/.f64 (/.f64 1 A) C))) (.f64 (sqrt.f64 (.f64 A C)) (.f64 (sqrt.f64 2) (sqrt.f64 -4))))
(+.f64 (.f64 -1/8 (.f64 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 B 4)) (pow.f64 (sqrt.f64 -4) 3)) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 A 3) (pow.f64 C 3)))))) (+.f64 (.f64 1/2 (.f64 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 B 2)) (sqrt.f64 -4)) (sqrt.f64 (/.f64 1 (.f64 A C))))) (.f64 (sqrt.f64 (.f64 A C)) (*.f64 (sqrt.f64 2) (sqrt.f64 -4)))))
(fma.f64 -1/8 (/.f64 (.f64 (.f64 (sqrt.f64 2) (pow.f64 B 4)) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 A 3) (pow.f64 C 3))))) (pow.f64 (sqrt.f64 -4) 3)) (fma.f64 1/2 (.f64 (/.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 -4) (.f64 B B))) (sqrt.f64 (/.f64 1 (.f64 A C)))) (.f64 (sqrt.f64 (.f64 A C)) (*.f64 (sqrt.f64 2) (sqrt.f64 -4)))))
(fma.f64 -1/8 (/.f64 (.f64 (.f64 (sqrt.f64 2) (pow.f64 B 4)) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 A 3) (pow.f64 C 3))))) (pow.f64 (sqrt.f64 -4) 3)) (fma.f64 1/2 (.f64 (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -4)) (.f64 B B)) (sqrt.f64 (/.f64 (/.f64 1 A) C))) (.f64 (sqrt.f64 (.f64 A C)) (*.f64 (sqrt.f64 2) (sqrt.f64 -4)))))
(+.f64 (.f64 -1/8 (.f64 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 B 4)) (pow.f64 (sqrt.f64 -4) 3)) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 A 3) (pow.f64 C 3)))))) (+.f64 (.f64 1/2 (.f64 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 B 2)) (sqrt.f64 -4)) (sqrt.f64 (/.f64 1 (.f64 A C))))) (+.f64 (.f64 1/16 (.f64 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 B 6)) (pow.f64 (sqrt.f64 -4) 5)) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 A 5) (pow.f64 C 5)))))) (.f64 (sqrt.f64 (.f64 A C)) (*.f64 (sqrt.f64 2) (sqrt.f64 -4))))))
(fma.f64 -1/8 (/.f64 (.f64 (.f64 (sqrt.f64 2) (pow.f64 B 4)) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 A 3) (pow.f64 C 3))))) (pow.f64 (sqrt.f64 -4) 3)) (fma.f64 1/2 (.f64 (/.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 -4) (.f64 B B))) (sqrt.f64 (/.f64 1 (.f64 A C)))) (fma.f64 1/16 (.f64 (/.f64 (sqrt.f64 2) (/.f64 (pow.f64 (sqrt.f64 -4) 5) (pow.f64 B 6))) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 A 5) (pow.f64 C 5))))) (.f64 (sqrt.f64 (.f64 A C)) (*.f64 (sqrt.f64 2) (sqrt.f64 -4))))))
(fma.f64 -1/8 (/.f64 (.f64 (.f64 (sqrt.f64 2) (pow.f64 B 4)) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 A 3) (pow.f64 C 3))))) (pow.f64 (sqrt.f64 -4) 3)) (fma.f64 1/2 (.f64 (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -4)) (.f64 B B)) (sqrt.f64 (/.f64 (/.f64 1 A) C))) (fma.f64 1/16 (.f64 (/.f64 (sqrt.f64 2) (/.f64 (pow.f64 (sqrt.f64 -4) 5) (pow.f64 B 6))) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 A 5) (pow.f64 C 5))))) (.f64 (sqrt.f64 (.f64 A C)) (*.f64 (sqrt.f64 2) (sqrt.f64 -4))))))
(*.f64 (sqrt.f64 2) B)
(+.f64 (.f64 -2 (/.f64 (.f64 A (.f64 (sqrt.f64 2) C)) B)) (.f64 (sqrt.f64 2) B))
(fma.f64 -2 (/.f64 A (/.f64 B (.f64 C (sqrt.f64 2)))) (.f64 (sqrt.f64 2) B))
(fma.f64 (sqrt.f64 2) B (.f64 -2 (.f64 (/.f64 (sqrt.f64 2) B) (*.f64 A C))))
(+.f64 (.f64 -2 (/.f64 (.f64 A (.f64 (sqrt.f64 2) C)) B)) (+.f64 (.f64 (sqrt.f64 2) B) (.f64 -2 (/.f64 (.f64 (pow.f64 A 2) (*.f64 (sqrt.f64 2) (pow.f64 C 2))) (pow.f64 B 3)))))
(fma.f64 -2 (/.f64 A (/.f64 B (.f64 C (sqrt.f64 2)))) (fma.f64 (sqrt.f64 2) B (.f64 -2 (/.f64 (.f64 A A) (/.f64 (pow.f64 B 3) (.f64 (sqrt.f64 2) (*.f64 C C)))))))
(fma.f64 (sqrt.f64 2) B (.f64 -2 (+.f64 (.f64 (/.f64 (sqrt.f64 2) B) (.f64 A C)) (.f64 (/.f64 (sqrt.f64 2) (pow.f64 B 3)) (.f64 A (.f64 A (*.f64 C C)))))))
(+.f64 (.f64 -2 (/.f64 (.f64 A (.f64 (sqrt.f64 2) C)) B)) (+.f64 (.f64 (sqrt.f64 2) B) (+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 A 2) (.f64 (sqrt.f64 2) (pow.f64 C 2))) (pow.f64 B 3))) (.f64 -4 (/.f64 (.f64 (pow.f64 A 3) (.f64 (sqrt.f64 2) (pow.f64 C 3))) (pow.f64 B 5))))))
(fma.f64 -2 (/.f64 A (/.f64 B (.f64 C (sqrt.f64 2)))) (fma.f64 (sqrt.f64 2) B (fma.f64 -2 (/.f64 (.f64 A A) (/.f64 (pow.f64 B 3) (.f64 (sqrt.f64 2) (.f64 C C)))) (.f64 -4 (/.f64 (pow.f64 A 3) (/.f64 (pow.f64 B 5) (.f64 (sqrt.f64 2) (pow.f64 C 3))))))))
(fma.f64 (sqrt.f64 2) B (fma.f64 -2 (.f64 (/.f64 (sqrt.f64 2) B) (.f64 A C)) (fma.f64 -2 (.f64 (/.f64 (sqrt.f64 2) (pow.f64 B 3)) (.f64 A (.f64 A (.f64 C C)))) (.f64 -4 (.f64 (/.f64 (sqrt.f64 2) (pow.f64 B 5)) (*.f64 (pow.f64 A 3) (pow.f64 C 3)))))))
(.f64 -1 (.f64 (sqrt.f64 2) B))
(neg.f64 (*.f64 (sqrt.f64 2) B))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 2) B)) (.f64 2 (/.f64 (.f64 A (*.f64 (sqrt.f64 2) C)) B)))
(fma.f64 -1 (.f64 (sqrt.f64 2) B) (.f64 2 (/.f64 A (/.f64 B (*.f64 C (sqrt.f64 2))))))
(fma.f64 -1 (.f64 (sqrt.f64 2) B) (.f64 2 (.f64 (/.f64 (sqrt.f64 2) B) (.f64 A C))))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 2) B)) (+.f64 (.f64 2 (/.f64 (.f64 A (.f64 (sqrt.f64 2) C)) B)) (.f64 2 (/.f64 (.f64 (pow.f64 A 2) (.f64 (sqrt.f64 2) (pow.f64 C 2))) (pow.f64 B 3)))))
(fma.f64 -1 (.f64 (sqrt.f64 2) B) (.f64 2 (+.f64 (/.f64 A (/.f64 B (.f64 C (sqrt.f64 2)))) (/.f64 (.f64 A A) (/.f64 (pow.f64 B 3) (.f64 (sqrt.f64 2) (.f64 C C)))))))
(fma.f64 -1 (.f64 (sqrt.f64 2) B) (.f64 2 (+.f64 (.f64 (/.f64 (sqrt.f64 2) B) (.f64 A C)) (.f64 (/.f64 (sqrt.f64 2) (pow.f64 B 3)) (.f64 A (.f64 A (.f64 C C)))))))
(+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 A 3) (.f64 (sqrt.f64 2) (pow.f64 C 3))) (pow.f64 B 5))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 2) B)) (+.f64 (.f64 2 (/.f64 (.f64 A (.f64 (sqrt.f64 2) C)) B)) (.f64 2 (/.f64 (.f64 (pow.f64 A 2) (*.f64 (sqrt.f64 2) (pow.f64 C 2))) (pow.f64 B 3))))))
(fma.f64 4 (/.f64 (pow.f64 A 3) (/.f64 (pow.f64 B 5) (.f64 (sqrt.f64 2) (pow.f64 C 3)))) (fma.f64 -1 (.f64 (sqrt.f64 2) B) (.f64 2 (+.f64 (/.f64 A (/.f64 B (.f64 C (sqrt.f64 2)))) (/.f64 (.f64 A A) (/.f64 (pow.f64 B 3) (.f64 (sqrt.f64 2) (*.f64 C C))))))))
(fma.f64 4 (.f64 (/.f64 (sqrt.f64 2) (pow.f64 B 5)) (.f64 (pow.f64 A 3) (pow.f64 C 3))) (fma.f64 -1 (.f64 (sqrt.f64 2) B) (.f64 2 (+.f64 (.f64 (/.f64 (sqrt.f64 2) B) (.f64 A C)) (.f64 (/.f64 (sqrt.f64 2) (pow.f64 B 3)) (.f64 A (.f64 A (.f64 C C))))))))
(*.f64 (sqrt.f64 2) B)
(+.f64 (.f64 (sqrt.f64 2) B) (.f64 -2 (/.f64 (.f64 (sqrt.f64 2) (.f64 A C)) B)))
(fma.f64 -2 (/.f64 A (/.f64 B (.f64 C (sqrt.f64 2)))) (.f64 (sqrt.f64 2) B))
(fma.f64 (sqrt.f64 2) B (.f64 -2 (.f64 (/.f64 (sqrt.f64 2) B) (*.f64 A C))))
(+.f64 (.f64 (sqrt.f64 2) B) (+.f64 (.f64 -2 (/.f64 (.f64 (sqrt.f64 2) (.f64 A C)) B)) (.f64 -2 (/.f64 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 A 2) (pow.f64 C 2))) (pow.f64 B 3)))))
(fma.f64 -2 (/.f64 A (/.f64 B (.f64 C (sqrt.f64 2)))) (fma.f64 (sqrt.f64 2) B (.f64 -2 (/.f64 (.f64 A A) (/.f64 (pow.f64 B 3) (.f64 (sqrt.f64 2) (*.f64 C C)))))))
(fma.f64 (sqrt.f64 2) B (.f64 -2 (+.f64 (.f64 (/.f64 (sqrt.f64 2) B) (.f64 A C)) (.f64 (/.f64 (sqrt.f64 2) (pow.f64 B 3)) (.f64 A (.f64 A (*.f64 C C)))))))
(+.f64 (.f64 (sqrt.f64 2) B) (+.f64 (.f64 -2 (/.f64 (.f64 (sqrt.f64 2) (.f64 A C)) B)) (+.f64 (.f64 -2 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 A 2) (pow.f64 C 2))) (pow.f64 B 3))) (.f64 -4 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 A 3) (pow.f64 C 3))) (pow.f64 B 5))))))
(fma.f64 -2 (/.f64 A (/.f64 B (.f64 C (sqrt.f64 2)))) (fma.f64 (sqrt.f64 2) B (fma.f64 -2 (/.f64 (.f64 A A) (/.f64 (pow.f64 B 3) (.f64 (sqrt.f64 2) (.f64 C C)))) (.f64 -4 (/.f64 (pow.f64 A 3) (/.f64 (pow.f64 B 5) (.f64 (sqrt.f64 2) (pow.f64 C 3))))))))
(fma.f64 (sqrt.f64 2) B (fma.f64 -2 (.f64 (/.f64 (sqrt.f64 2) B) (.f64 A C)) (fma.f64 -2 (.f64 (/.f64 (sqrt.f64 2) (pow.f64 B 3)) (.f64 A (.f64 A (.f64 C C)))) (.f64 -4 (.f64 (/.f64 (sqrt.f64 2) (pow.f64 B 5)) (*.f64 (pow.f64 A 3) (pow.f64 C 3)))))))
(*.f64 (sqrt.f64 2) B)
(+.f64 (.f64 -2 (/.f64 (.f64 A (.f64 (sqrt.f64 2) C)) B)) (.f64 (sqrt.f64 2) B))
(fma.f64 -2 (/.f64 A (/.f64 B (.f64 C (sqrt.f64 2)))) (.f64 (sqrt.f64 2) B))
(fma.f64 (sqrt.f64 2) B (.f64 -2 (.f64 (/.f64 (sqrt.f64 2) B) (*.f64 A C))))
(+.f64 (.f64 -2 (/.f64 (.f64 A (.f64 (sqrt.f64 2) C)) B)) (+.f64 (.f64 (sqrt.f64 2) B) (.f64 -2 (/.f64 (.f64 (pow.f64 A 2) (*.f64 (sqrt.f64 2) (pow.f64 C 2))) (pow.f64 B 3)))))
(fma.f64 -2 (/.f64 A (/.f64 B (.f64 C (sqrt.f64 2)))) (fma.f64 (sqrt.f64 2) B (.f64 -2 (/.f64 (.f64 A A) (/.f64 (pow.f64 B 3) (.f64 (sqrt.f64 2) (*.f64 C C)))))))
(fma.f64 (sqrt.f64 2) B (.f64 -2 (+.f64 (.f64 (/.f64 (sqrt.f64 2) B) (.f64 A C)) (.f64 (/.f64 (sqrt.f64 2) (pow.f64 B 3)) (.f64 A (.f64 A (*.f64 C C)))))))
(+.f64 (.f64 -2 (/.f64 (.f64 A (.f64 (sqrt.f64 2) C)) B)) (+.f64 (.f64 (sqrt.f64 2) B) (+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 A 2) (.f64 (sqrt.f64 2) (pow.f64 C 2))) (pow.f64 B 3))) (.f64 -4 (/.f64 (.f64 (pow.f64 A 3) (.f64 (sqrt.f64 2) (pow.f64 C 3))) (pow.f64 B 5))))))
(fma.f64 -2 (/.f64 A (/.f64 B (.f64 C (sqrt.f64 2)))) (fma.f64 (sqrt.f64 2) B (fma.f64 -2 (/.f64 (.f64 A A) (/.f64 (pow.f64 B 3) (.f64 (sqrt.f64 2) (.f64 C C)))) (.f64 -4 (/.f64 (pow.f64 A 3) (/.f64 (pow.f64 B 5) (.f64 (sqrt.f64 2) (pow.f64 C 3))))))))
(fma.f64 (sqrt.f64 2) B (fma.f64 -2 (.f64 (/.f64 (sqrt.f64 2) B) (.f64 A C)) (fma.f64 -2 (.f64 (/.f64 (sqrt.f64 2) (pow.f64 B 3)) (.f64 A (.f64 A (.f64 C C)))) (.f64 -4 (.f64 (/.f64 (sqrt.f64 2) (pow.f64 B 5)) (*.f64 (pow.f64 A 3) (pow.f64 C 3)))))))
(.f64 -1 (.f64 (/.f64 (sqrt.f64 2) B) (sqrt.f64 (*.f64 (-.f64 C (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))) F))))
(neg.f64 (.f64 (/.f64 (sqrt.f64 2) B) (sqrt.f64 (.f64 (-.f64 C (sqrt.f64 (+.f64 (.f64 B B) (.f64 C C)))) F))))
(+.f64 (.f64 -1 (.f64 (/.f64 (sqrt.f64 2) B) (sqrt.f64 (.f64 (-.f64 C (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))) F)))) (.f64 -1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 A (.f64 (-.f64 (/.f64 (.f64 F (-.f64 1 (.f64 -1 (.f64 C (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))))))) (pow.f64 B 2)) (.f64 -4 (/.f64 (.f64 (-.f64 C (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))) (.f64 C F)) (pow.f64 B 4)))) B))) (sqrt.f64 (/.f64 1 (*.f64 (-.f64 C (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))) F))))))
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(log.f64 (exp.f64 (sqrt.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))))
(sqrt.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))
(sqrt.f64 (*.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))))))
(sqrt.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))
(sqrt.f64 (*.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))
(cbrt.f64 (pow.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))) 3/2))
(cbrt.f64 (pow.f64 (*.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))))
(sqrt.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))
(sqrt.f64 (*.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))))
(sqrt.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))
(sqrt.f64 (*.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))
(exp.f64 (.f64 (log.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))) 1/2))
(sqrt.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))
(sqrt.f64 (*.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))) 1))
(sqrt.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))
(sqrt.f64 (*.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))))
(sqrt.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))
(sqrt.f64 (*.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))

localize48.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	5.0b	(.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F)
✓	9.8b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C A)))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
✓	10.3b	(sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C A)))))
✓	11.7b	(.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))) F) (+.f64 A (-.f64 C A)))

Compiler

Compiled 157 to 61 computations (61.1% saved)

series46.0ms (0.1%)

Counts

3 → 96

Calls

36 calls:

Time	Variable		Point	Expression
14.0ms	C	@	0	(.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))) F) (+.f64 A (-.f64 C A)))
4.0ms	B	@	inf	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C A)))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
2.0ms	B	@	0	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C A)))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
2.0ms	C	@	0	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C A)))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
2.0ms	C	@	inf	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C A)))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))

rewrite115.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

686×	`associate-+l+`
496×	`add-sqr-sqrt`
482×	`pow1`
482×	`*-un-lft-identity`
462×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	201
1	478	181
2	6960	181

Stop Event

1×	node limit

Counts

3 → 120

Calls

Call 1

Inputs

(*.f64 (*.f64 (-.f64 (*.f64 B B) (*.f64 4 (*.f64 A C))) F) (+.f64 A (-.f64 C A)))

(sqrt.f64 (*.f64 2 (*.f64 (*.f64 (-.f64 (*.f64 B B) (*.f64 4 (*.f64 A C))) F) (+.f64 A (-.f64 C A)))))

(/.f64 (neg.f64 (sqrt.f64 (*.f64 2 (*.f64 (*.f64 (-.f64 (*.f64 B B) (*.f64 4 (*.f64 A C))) F) (+.f64 A (-.f64 C A)))))) (-.f64 (*.f64 B B) (*.f64 4 (*.f64 A C))))

Outputs

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simplify153.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1308×	`associate-r`
1084×	`associate-l`
976×	`*-commutative`
854×	`fma-def`
592×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	628	17696
1	1864	16744

Stop Event

1×	node limit

Counts

216 → 310

Calls

Call 1

Inputs
(.f64 -4 (.f64 A (*.f64 (pow.f64 C 2) F)))
(+.f64 (.f64 C (.f64 F (pow.f64 B 2))) (.f64 -4 (.f64 A (*.f64 (pow.f64 C 2) F))))
(+.f64 (.f64 C (.f64 F (pow.f64 B 2))) (.f64 -4 (.f64 A (*.f64 (pow.f64 C 2) F))))
(+.f64 (.f64 C (.f64 F (pow.f64 B 2))) (.f64 -4 (.f64 A (*.f64 (pow.f64 C 2) F))))
(.f64 C (.f64 F (pow.f64 B 2)))
(+.f64 (.f64 C (.f64 F (pow.f64 B 2))) (.f64 -4 (.f64 A (*.f64 (pow.f64 C 2) F))))
(+.f64 (.f64 C (.f64 F (pow.f64 B 2))) (.f64 -4 (.f64 A (*.f64 (pow.f64 C 2) F))))
(+.f64 (.f64 C (.f64 F (pow.f64 B 2))) (.f64 -4 (.f64 A (*.f64 (pow.f64 C 2) F))))
(.f64 C (.f64 F (pow.f64 B 2)))
(+.f64 (.f64 C (.f64 F (pow.f64 B 2))) (.f64 -4 (.f64 A (*.f64 (pow.f64 C 2) F))))
(+.f64 (.f64 C (.f64 F (pow.f64 B 2))) (.f64 -4 (.f64 A (*.f64 (pow.f64 C 2) F))))
(+.f64 (.f64 C (.f64 F (pow.f64 B 2))) (.f64 -4 (.f64 A (*.f64 (pow.f64 C 2) F))))
(.f64 C (.f64 F (pow.f64 B 2)))
(+.f64 (.f64 C (.f64 F (pow.f64 B 2))) (.f64 -4 (.f64 A (*.f64 (pow.f64 C 2) F))))
(+.f64 (.f64 C (.f64 F (pow.f64 B 2))) (.f64 -4 (.f64 A (*.f64 (pow.f64 C 2) F))))
(+.f64 (.f64 C (.f64 F (pow.f64 B 2))) (.f64 -4 (.f64 A (*.f64 (pow.f64 C 2) F))))
(.f64 -4 (.f64 A (*.f64 (pow.f64 C 2) F)))
(+.f64 (.f64 C (.f64 F (pow.f64 B 2))) (.f64 -4 (.f64 A (*.f64 (pow.f64 C 2) F))))
(+.f64 (.f64 C (.f64 F (pow.f64 B 2))) (.f64 -4 (.f64 A (*.f64 (pow.f64 C 2) F))))
(+.f64 (.f64 C (.f64 F (pow.f64 B 2))) (.f64 -4 (.f64 A (*.f64 (pow.f64 C 2) F))))
(.f64 -4 (.f64 A (*.f64 (pow.f64 C 2) F)))
(+.f64 (.f64 C (.f64 F (pow.f64 B 2))) (.f64 -4 (.f64 A (*.f64 (pow.f64 C 2) F))))
(+.f64 (.f64 C (.f64 F (pow.f64 B 2))) (.f64 -4 (.f64 A (*.f64 (pow.f64 C 2) F))))
(+.f64 (.f64 C (.f64 F (pow.f64 B 2))) (.f64 -4 (.f64 A (*.f64 (pow.f64 C 2) F))))
(.f64 C (.f64 F (pow.f64 B 2)))
(+.f64 (.f64 C (.f64 F (pow.f64 B 2))) (.f64 -4 (.f64 A (*.f64 (pow.f64 C 2) F))))
(+.f64 (.f64 C (.f64 F (pow.f64 B 2))) (.f64 -4 (.f64 A (*.f64 (pow.f64 C 2) F))))
(+.f64 (.f64 C (.f64 F (pow.f64 B 2))) (.f64 -4 (.f64 A (*.f64 (pow.f64 C 2) F))))
(.f64 -4 (.f64 A (*.f64 (pow.f64 C 2) F)))
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(+.f64 (.f64 C (.f64 F (pow.f64 B 2))) (.f64 -4 (.f64 A (*.f64 (pow.f64 C 2) F))))
(+.f64 (.f64 C (.f64 F (pow.f64 B 2))) (.f64 -4 (.f64 A (*.f64 (pow.f64 C 2) F))))
(.f64 -4 (.f64 A (*.f64 (pow.f64 C 2) F)))
(+.f64 (.f64 C (.f64 F (pow.f64 B 2))) (.f64 -4 (.f64 A (*.f64 (pow.f64 C 2) F))))
(+.f64 (.f64 C (.f64 F (pow.f64 B 2))) (.f64 -4 (.f64 A (*.f64 (pow.f64 C 2) F))))
(+.f64 (.f64 C (.f64 F (pow.f64 B 2))) (.f64 -4 (.f64 A (*.f64 (pow.f64 C 2) F))))
(.f64 C (.f64 F (-.f64 (pow.f64 B 2) (.f64 4 (.f64 A C)))))
(.f64 C (.f64 F (-.f64 (pow.f64 B 2) (.f64 4 (.f64 A C)))))
(.f64 C (.f64 F (-.f64 (pow.f64 B 2) (.f64 4 (.f64 A C)))))
(.f64 C (.f64 F (-.f64 (pow.f64 B 2) (.f64 4 (.f64 A C)))))
(.f64 C (.f64 F (-.f64 (pow.f64 B 2) (.f64 4 (.f64 A C)))))
(.f64 C (.f64 F (-.f64 (pow.f64 B 2) (.f64 4 (.f64 A C)))))
(.f64 C (.f64 F (-.f64 (pow.f64 B 2) (.f64 4 (.f64 A C)))))
(.f64 C (.f64 F (-.f64 (pow.f64 B 2) (.f64 4 (.f64 A C)))))
(.f64 C (.f64 F (-.f64 (pow.f64 B 2) (.f64 4 (.f64 A C)))))
(.f64 C (.f64 F (-.f64 (pow.f64 B 2) (.f64 4 (.f64 A C)))))
(.f64 C (.f64 F (-.f64 (pow.f64 B 2) (.f64 4 (.f64 A C)))))
(.f64 C (.f64 F (-.f64 (pow.f64 B 2) (.f64 4 (.f64 A C)))))
(.f64 (sqrt.f64 (.f64 A F)) (.f64 (sqrt.f64 2) (.f64 C (sqrt.f64 -4))))
(+.f64 (.f64 1/2 (.f64 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 B 2)) (sqrt.f64 -4)) (sqrt.f64 (/.f64 F A)))) (.f64 (sqrt.f64 (.f64 A F)) (.f64 (sqrt.f64 2) (*.f64 C (sqrt.f64 -4)))))
(+.f64 (.f64 1/2 (.f64 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 B 2)) (sqrt.f64 -4)) (sqrt.f64 (/.f64 F A)))) (+.f64 (.f64 -1/8 (.f64 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 B 4)) (.f64 C (pow.f64 (sqrt.f64 -4) 3))) (sqrt.f64 (/.f64 F (pow.f64 A 3))))) (.f64 (sqrt.f64 (.f64 A F)) (.f64 (sqrt.f64 2) (*.f64 C (sqrt.f64 -4))))))
(+.f64 (.f64 1/2 (.f64 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 B 2)) (sqrt.f64 -4)) (sqrt.f64 (/.f64 F A)))) (+.f64 (.f64 -1/8 (.f64 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 B 4)) (.f64 C (pow.f64 (sqrt.f64 -4) 3))) (sqrt.f64 (/.f64 F (pow.f64 A 3))))) (+.f64 (.f64 (sqrt.f64 (.f64 A F)) (.f64 (sqrt.f64 2) (.f64 C (sqrt.f64 -4)))) (.f64 1/16 (.f64 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 B 6)) (*.f64 (pow.f64 C 2) (pow.f64 (sqrt.f64 -4) 5))) (sqrt.f64 (/.f64 F (pow.f64 A 5))))))))
(.f64 (.f64 (sqrt.f64 2) B) (sqrt.f64 (*.f64 C F)))
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(+.f64 (.f64 -2 (.f64 (/.f64 (.f64 (sqrt.f64 2) A) B) (sqrt.f64 (.f64 (pow.f64 C 3) F)))) (+.f64 (.f64 -2 (.f64 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 A 2)) (pow.f64 B 3)) (sqrt.f64 (.f64 (pow.f64 C 5) F)))) (.f64 (.f64 (sqrt.f64 2) B) (sqrt.f64 (*.f64 C F)))))
(+.f64 (.f64 -2 (.f64 (/.f64 (.f64 (sqrt.f64 2) A) B) (sqrt.f64 (.f64 (pow.f64 C 3) F)))) (+.f64 (.f64 -2 (.f64 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 A 2)) (pow.f64 B 3)) (sqrt.f64 (.f64 (pow.f64 C 5) F)))) (+.f64 (.f64 (.f64 (sqrt.f64 2) B) (sqrt.f64 (.f64 C F))) (.f64 -4 (.f64 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 A 3)) (pow.f64 B 5)) (sqrt.f64 (*.f64 (pow.f64 C 7) F)))))))
(.f64 -1 (.f64 (.f64 (sqrt.f64 2) B) (sqrt.f64 (.f64 C F))))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 2) B) (sqrt.f64 (.f64 C F)))) (.f64 2 (.f64 (/.f64 (.f64 (sqrt.f64 2) A) B) (sqrt.f64 (.f64 (pow.f64 C 3) F)))))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 2) B) (sqrt.f64 (.f64 C F)))) (+.f64 (.f64 2 (.f64 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 A 2)) (pow.f64 B 3)) (sqrt.f64 (.f64 (pow.f64 C 5) F)))) (.f64 2 (.f64 (/.f64 (.f64 (sqrt.f64 2) A) B) (sqrt.f64 (.f64 (pow.f64 C 3) F))))))
(+.f64 (.f64 4 (.f64 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 A 3)) (pow.f64 B 5)) (sqrt.f64 (.f64 (pow.f64 C 7) F)))) (+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 2) B) (sqrt.f64 (.f64 C F)))) (+.f64 (.f64 2 (.f64 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 A 2)) (pow.f64 B 3)) (sqrt.f64 (.f64 (pow.f64 C 5) F)))) (.f64 2 (.f64 (/.f64 (.f64 (sqrt.f64 2) A) B) (sqrt.f64 (.f64 (pow.f64 C 3) F)))))))
(.f64 (.f64 (sqrt.f64 2) B) (sqrt.f64 (*.f64 C F)))
(+.f64 (.f64 -2 (.f64 (/.f64 (.f64 A (sqrt.f64 2)) B) (sqrt.f64 (.f64 (pow.f64 C 3) F)))) (.f64 (.f64 (sqrt.f64 2) B) (sqrt.f64 (*.f64 C F))))
(+.f64 (.f64 -2 (.f64 (/.f64 (.f64 A (sqrt.f64 2)) B) (sqrt.f64 (.f64 (pow.f64 C 3) F)))) (+.f64 (.f64 -2 (.f64 (/.f64 (.f64 (pow.f64 A 2) (sqrt.f64 2)) (pow.f64 B 3)) (sqrt.f64 (.f64 (pow.f64 C 5) F)))) (.f64 (.f64 (sqrt.f64 2) B) (sqrt.f64 (*.f64 C F)))))
(+.f64 (.f64 -4 (.f64 (/.f64 (.f64 (pow.f64 A 3) (sqrt.f64 2)) (pow.f64 B 5)) (sqrt.f64 (.f64 (pow.f64 C 7) F)))) (+.f64 (.f64 -2 (.f64 (/.f64 (.f64 A (sqrt.f64 2)) B) (sqrt.f64 (.f64 (pow.f64 C 3) F)))) (+.f64 (.f64 -2 (.f64 (/.f64 (.f64 (pow.f64 A 2) (sqrt.f64 2)) (pow.f64 B 3)) (sqrt.f64 (.f64 (pow.f64 C 5) F)))) (.f64 (.f64 (sqrt.f64 2) B) (sqrt.f64 (*.f64 C F))))))
(.f64 (sqrt.f64 (.f64 A F)) (.f64 (sqrt.f64 2) (.f64 C (sqrt.f64 -4))))
(+.f64 (.f64 1/2 (.f64 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 B 2)) (sqrt.f64 -4)) (sqrt.f64 (/.f64 F A)))) (.f64 (sqrt.f64 (.f64 A F)) (.f64 (sqrt.f64 2) (*.f64 C (sqrt.f64 -4)))))
(+.f64 (.f64 1/2 (.f64 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 B 2)) (sqrt.f64 -4)) (sqrt.f64 (/.f64 F A)))) (+.f64 (.f64 -1/8 (.f64 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 B 4)) (.f64 C (pow.f64 (sqrt.f64 -4) 3))) (sqrt.f64 (/.f64 F (pow.f64 A 3))))) (.f64 (sqrt.f64 (.f64 A F)) (.f64 (sqrt.f64 2) (*.f64 C (sqrt.f64 -4))))))
(+.f64 (.f64 1/2 (.f64 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 B 2)) (sqrt.f64 -4)) (sqrt.f64 (/.f64 F A)))) (+.f64 (.f64 -1/8 (.f64 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 B 4)) (.f64 C (pow.f64 (sqrt.f64 -4) 3))) (sqrt.f64 (/.f64 F (pow.f64 A 3))))) (+.f64 (.f64 (sqrt.f64 (.f64 A F)) (.f64 (sqrt.f64 2) (.f64 C (sqrt.f64 -4)))) (.f64 1/16 (.f64 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 B 6)) (*.f64 (pow.f64 C 2) (pow.f64 (sqrt.f64 -4) 5))) (sqrt.f64 (/.f64 F (pow.f64 A 5))))))))
(.f64 -2 (.f64 (sqrt.f64 (.f64 A F)) (.f64 C (sqrt.f64 -2))))
(+.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 F A)) (.f64 (sqrt.f64 -2) (pow.f64 B 2)))) (.f64 -2 (.f64 (sqrt.f64 (.f64 A F)) (*.f64 C (sqrt.f64 -2)))))
(+.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 F A)) (.f64 (sqrt.f64 -2) (pow.f64 B 2)))) (+.f64 (.f64 1/64 (.f64 (sqrt.f64 (/.f64 F (pow.f64 A 3))) (/.f64 (.f64 (sqrt.f64 -2) (pow.f64 B 4)) C))) (.f64 -2 (.f64 (sqrt.f64 (.f64 A F)) (.f64 C (sqrt.f64 -2))))))
(+.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 F A)) (.f64 (sqrt.f64 -2) (pow.f64 B 2)))) (+.f64 (.f64 1/512 (.f64 (sqrt.f64 (/.f64 F (pow.f64 A 5))) (/.f64 (.f64 (sqrt.f64 -2) (pow.f64 B 6)) (pow.f64 C 2)))) (+.f64 (.f64 1/64 (.f64 (sqrt.f64 (/.f64 F (pow.f64 A 3))) (/.f64 (.f64 (sqrt.f64 -2) (pow.f64 B 4)) C))) (.f64 -2 (.f64 (sqrt.f64 (.f64 A F)) (*.f64 C (sqrt.f64 -2)))))))
(.f64 -1 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1/4)) (sqrt.f64 (/.f64 F A))))
(+.f64 (.f64 1/32 (.f64 (sqrt.f64 (/.f64 F (pow.f64 A 3))) (/.f64 (.f64 (sqrt.f64 2) (pow.f64 B 2)) (.f64 (sqrt.f64 -1/4) C)))) (.f64 -1 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1/4)) (sqrt.f64 (/.f64 F A)))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 A F)) (/.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 (.f64 -1/32 (.f64 (sqrt.f64 (/.f64 F (pow.f64 A 3))) (/.f64 1 (.f64 (sqrt.f64 -1/4) C)))) 2) (.f64 1/64 (/.f64 F (.f64 (pow.f64 A 3) (pow.f64 C 2))))) (pow.f64 B 4))) (sqrt.f64 -1/4)))) (+.f64 (.f64 1/32 (.f64 (sqrt.f64 (/.f64 F (pow.f64 A 3))) (/.f64 (.f64 (sqrt.f64 2) (pow.f64 B 2)) (.f64 (sqrt.f64 -1/4) C)))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1/4)) (sqrt.f64 (/.f64 F A))))))
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(.f64 -1 (.f64 (/.f64 (sqrt.f64 2) B) (sqrt.f64 (*.f64 C F))))
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(.f64 (neg.f64 (pow.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) (.f64 (.f64 F (-.f64 C (-.f64 A A))) 2)) 1/4)) (pow.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) (.f64 (*.f64 F (-.f64 C (-.f64 A A))) 2)) 1/4))
(.f64 (neg.f64 (sqrt.f64 2)) (sqrt.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) (*.f64 F (-.f64 C (-.f64 A A))))))
(.f64 (neg.f64 (cbrt.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) (.f64 (.f64 F (-.f64 C (-.f64 A A))) 2)))) (cbrt.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) (.f64 (*.f64 F (-.f64 C (-.f64 A A))) 2)))))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) (.f64 (.f64 F (-.f64 C (-.f64 A A))) 2))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) (.f64 (.f64 F (-.f64 C (-.f64 A A))) 2))) 2) 1/2) (pow.f64 (cbrt.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) (.f64 (*.f64 F (-.f64 C (-.f64 A A))) 2))) 1/2))
(.f64 (pow.f64 (.f64 (.f64 (fma.f64 B B (.f64 (*.f64 -4 A) C)) F) 2) 1/2) (sqrt.f64 (-.f64 C (-.f64 A A))))
(/.f64 (-.f64 0 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) (.f64 (.f64 F (-.f64 C (-.f64 A A))) 2))) (sqrt.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) (.f64 (.f64 F (-.f64 C (-.f64 A A))) 2))))
(/.f64 (-.f64 0 (pow.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) (.f64 (.f64 F (-.f64 C (-.f64 A A))) 2)) 3/2)) (+.f64 (+.f64 0 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) (.f64 (.f64 F (-.f64 C (-.f64 A A))) 2))) (.f64 0 (sqrt.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) (.f64 (.f64 F (-.f64 C (-.f64 A A))) 2))))))
(pow.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) (.f64 (*.f64 F (-.f64 C (-.f64 A A))) 2)) 1/2)
(pow.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) (.f64 (*.f64 F (-.f64 C (-.f64 A A))) 2))) 1)
(pow.f64 (pow.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) (.f64 (*.f64 F (-.f64 C (-.f64 A A))) 2)) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) (.f64 (*.f64 F (-.f64 C (-.f64 A A))) 2)))) 3)
(pow.f64 (pow.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) (.f64 (*.f64 F (-.f64 C (-.f64 A A))) 2)) 3/2) 1/3)
(neg.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) (.f64 (*.f64 F (-.f64 C (-.f64 A A))) 2))))
(fabs.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) (.f64 (*.f64 F (-.f64 C (-.f64 A A))) 2))))
(log.f64 (exp.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) (.f64 (*.f64 F (-.f64 C (-.f64 A A))) 2)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) (.f64 (*.f64 F (-.f64 C (-.f64 A A))) 2))))))
(cbrt.f64 (pow.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) (.f64 (*.f64 F (-.f64 C (-.f64 A A))) 2)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) (.f64 (*.f64 F (-.f64 C (-.f64 A A))) 2)))))
(exp.f64 (log.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) (.f64 (*.f64 F (-.f64 C (-.f64 A A))) 2)))))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) (.f64 (.f64 F (-.f64 C (-.f64 A A))) 2))) 1/2))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) (.f64 (.f64 F (-.f64 C (-.f64 A A))) 2)))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) (.f64 (*.f64 F (-.f64 C (-.f64 A A))) 2)))))
(-.f64 0 (/.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) (.f64 (.f64 F (-.f64 C (-.f64 A A))) 2))) (fma.f64 B B (.f64 (*.f64 -4 A) C))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) (.f64 (.f64 F (-.f64 C (-.f64 A A))) 2))) (fma.f64 B B (.f64 (*.f64 -4 A) C))))) 1)
(-.f64 (/.f64 0 (fma.f64 B B (.f64 (.f64 -4 A) C))) (/.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) (.f64 (.f64 F (-.f64 C (-.f64 A A))) 2))) (fma.f64 B B (.f64 (*.f64 -4 A) C))))
(.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) (.f64 (.f64 F (-.f64 C (-.f64 A A))) 2))) (/.f64 1 (fma.f64 B B (.f64 (.f64 -4 A) C))))
(.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) (.f64 (.f64 F (-.f64 C (-.f64 A A))) 2))) (/.f64 1 (neg.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)))))
(.f64 (/.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) (.f64 (.f64 F (-.f64 C (-.f64 A A))) 2))) (fma.f64 B B (.f64 (.f64 -4 A) C))) 1)
(.f64 1 (/.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) (.f64 (.f64 F (-.f64 C (-.f64 A A))) 2))) (fma.f64 B B (.f64 (.f64 -4 A) C))))
(.f64 (sqrt.f64 (/.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) (.f64 (.f64 F (-.f64 C (-.f64 A A))) 2))) (fma.f64 B B (.f64 (.f64 -4 A) C)))) (sqrt.f64 (/.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) (.f64 (.f64 F (-.f64 C (-.f64 A A))) 2))) (fma.f64 B B (.f64 (*.f64 -4 A) C)))))
(.f64 (pow.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) (.f64 (.f64 F (-.f64 C (-.f64 A A))) 2)) 1/4) (.f64 (pow.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) (.f64 (.f64 F (-.f64 C (-.f64 A A))) 2)) 1/4) (/.f64 1 (fma.f64 B B (.f64 (.f64 -4 A) C)))))
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) (.f64 (.f64 F (-.f64 C (-.f64 A A))) 2))) (fma.f64 B B (.f64 (.f64 -4 A) C)))) (cbrt.f64 (/.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) (.f64 (.f64 F (-.f64 C (-.f64 A A))) 2)) (pow.f64 (fma.f64 B B (.f64 (*.f64 -4 A) C)) 2))))
(.f64 (cbrt.f64 (/.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) (.f64 (.f64 F (-.f64 C (-.f64 A A))) 2)) (pow.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) 2))) (cbrt.f64 (/.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) (.f64 (.f64 F (-.f64 C (-.f64 A A))) 2))) (fma.f64 B B (.f64 (*.f64 -4 A) C)))))
(.f64 (cbrt.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) (.f64 (.f64 F (-.f64 C (-.f64 A A))) 2))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) (.f64 (.f64 F (-.f64 C (-.f64 A A))) 2)))) (/.f64 1 (fma.f64 B B (.f64 (.f64 -4 A) C)))))
(.f64 -1 (/.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) (.f64 (.f64 F (-.f64 C (-.f64 A A))) 2))) (fma.f64 B B (.f64 (.f64 -4 A) C))))
(.f64 (/.f64 1 (fma.f64 B B (.f64 (.f64 -4 A) C))) (sqrt.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) (.f64 (.f64 F (-.f64 C (-.f64 A A))) 2))))
(.f64 (/.f64 1 (sqrt.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)))) (/.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) (.f64 (.f64 F (-.f64 C (-.f64 A A))) 2))) (sqrt.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 B B (.f64 (.f64 -4 A) C))) 2)) (/.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) (.f64 (.f64 F (-.f64 C (-.f64 A A))) 2))) (cbrt.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)))))
(.f64 (/.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) (.f64 (.f64 F (-.f64 C (-.f64 A A))) 2))) (-.f64 (pow.f64 B 4) (.f64 (pow.f64 (.f64 A C) 2) 16))) (fma.f64 B B (.f64 C (.f64 4 A))))
(.f64 (/.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) (.f64 (.f64 F (-.f64 C (-.f64 A A))) 2))) (-.f64 (pow.f64 B 6) (pow.f64 (.f64 C (.f64 4 A)) 3))) (+.f64 (pow.f64 B 4) (.f64 (.f64 C (.f64 4 A)) (fma.f64 B B (.f64 C (*.f64 4 A))))))
(.f64 (/.f64 (sqrt.f64 2) 1) (/.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) (.f64 F (-.f64 C (-.f64 A A))))) (fma.f64 B B (.f64 (*.f64 -4 A) C))))
(.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)))) (/.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) (.f64 F (-.f64 C (-.f64 A A))))) (sqrt.f64 (fma.f64 B B (.f64 (*.f64 -4 A) C)))))
(.f64 (/.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 (fma.f64 B B (.f64 (.f64 -4 A) C))) 2)) (/.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) (.f64 F (-.f64 C (-.f64 A A))))) (cbrt.f64 (fma.f64 B B (.f64 (*.f64 -4 A) C)))))
(.f64 (/.f64 (cbrt.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) (.f64 (.f64 F (-.f64 C (-.f64 A A))) 2))) 1) (/.f64 (cbrt.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) (.f64 (.f64 F (-.f64 C (-.f64 A A))) 2)))) (fma.f64 B B (.f64 (*.f64 -4 A) C))))
(.f64 (/.f64 (cbrt.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) (.f64 (.f64 F (-.f64 C (-.f64 A A))) 2))) (sqrt.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)))) (/.f64 (cbrt.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) (.f64 (.f64 F (-.f64 C (-.f64 A A))) 2)))) (sqrt.f64 (fma.f64 B B (.f64 (*.f64 -4 A) C)))))
(.f64 (/.f64 (cbrt.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) (.f64 (.f64 F (-.f64 C (-.f64 A A))) 2))) (pow.f64 (cbrt.f64 (fma.f64 B B (.f64 (.f64 -4 A) C))) 2)) (cbrt.f64 (/.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) (.f64 (.f64 F (-.f64 C (-.f64 A A))) 2))) (fma.f64 B B (.f64 (*.f64 -4 A) C)))))
(.f64 (/.f64 (pow.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) (.f64 (.f64 F (-.f64 C (-.f64 A A))) 2)) 1/4) 1) (/.f64 (pow.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) (.f64 (.f64 F (-.f64 C (-.f64 A A))) 2)) 1/4) (fma.f64 B B (.f64 (*.f64 -4 A) C))))
(.f64 (/.f64 (pow.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) (.f64 (.f64 F (-.f64 C (-.f64 A A))) 2)) 1/4) (pow.f64 (cbrt.f64 (fma.f64 B B (.f64 (.f64 -4 A) C))) 2)) (/.f64 (pow.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) (.f64 (.f64 F (-.f64 C (-.f64 A A))) 2)) 1/4) (cbrt.f64 (fma.f64 B B (.f64 (*.f64 -4 A) C)))))
(.f64 (/.f64 -1 (sqrt.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)))) (/.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) (.f64 (.f64 F (-.f64 C (-.f64 A A))) 2))) (sqrt.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)))))
(.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (fma.f64 B B (.f64 (.f64 -4 A) C))) 2)) (/.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) (.f64 (.f64 F (-.f64 C (-.f64 A A))) 2))) (cbrt.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)))))
(pow.f64 (/.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) (.f64 (.f64 F (-.f64 C (-.f64 A A))) 2))) (fma.f64 B B (.f64 (*.f64 -4 A) C))) 1)
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) (.f64 (.f64 F (-.f64 C (-.f64 A A))) 2))) (fma.f64 B B (.f64 (*.f64 -4 A) C)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) (.f64 (.f64 F (-.f64 C (-.f64 A A))) 2))) (fma.f64 B B (.f64 (*.f64 -4 A) C)))) 3)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) (.f64 (.f64 F (-.f64 C (-.f64 A A))) 2))) (fma.f64 B B (.f64 (*.f64 -4 A) C))) 3) 1/3)
(pow.f64 (/.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) (sqrt.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) (.f64 (*.f64 F (-.f64 C (-.f64 A A))) 2)))) -1)
(neg.f64 (/.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) (.f64 (.f64 F (-.f64 C (-.f64 A A))) 2))) (fma.f64 B B (.f64 (*.f64 -4 A) C))))
(sqrt.f64 (/.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) (.f64 (.f64 F (-.f64 C (-.f64 A A))) 2)) (pow.f64 (fma.f64 B B (.f64 (*.f64 -4 A) C)) 2)))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) (.f64 (.f64 F (-.f64 C (-.f64 A A))) 2))) (fma.f64 B B (.f64 (*.f64 -4 A) C)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) (.f64 (.f64 F (-.f64 C (-.f64 A A))) 2))) (fma.f64 B B (.f64 (*.f64 -4 A) C))))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) (.f64 (.f64 F (-.f64 C (-.f64 A A))) 2))) (fma.f64 B B (.f64 (*.f64 -4 A) C))) 3))
(cbrt.f64 (/.f64 (pow.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) (.f64 (.f64 F (-.f64 C (-.f64 A A))) 2)) 3/2) (pow.f64 (fma.f64 B B (.f64 (*.f64 -4 A) C)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) (.f64 (.f64 F (-.f64 C (-.f64 A A))) 2))) (fma.f64 B B (.f64 (*.f64 -4 A) C)))))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) (.f64 (.f64 F (-.f64 C (-.f64 A A))) 2))) (fma.f64 B B (.f64 (*.f64 -4 A) C)))))
(exp.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) (.f64 (.f64 F (-.f64 C (-.f64 A A))) 2))) (fma.f64 B B (.f64 (.f64 -4 A) C)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) (.f64 (.f64 F (-.f64 C (-.f64 A A))) 2))) (fma.f64 B B (.f64 (*.f64 -4 A) C)))))

Outputs
(.f64 -4 (.f64 A (*.f64 (pow.f64 C 2) F)))
(.f64 -4 (.f64 A (.f64 (.f64 C C) F)))
(.f64 A (.f64 -4 (.f64 C (.f64 C F))))
(+.f64 (.f64 C (.f64 F (pow.f64 B 2))) (.f64 -4 (.f64 A (*.f64 (pow.f64 C 2) F))))
(fma.f64 C (.f64 F (.f64 B B)) (.f64 -4 (.f64 A (.f64 (.f64 C C) F))))
(fma.f64 C (.f64 F (.f64 B B)) (.f64 A (.f64 -4 (.f64 C (.f64 C F)))))
(+.f64 (.f64 C (.f64 F (pow.f64 B 2))) (.f64 -4 (.f64 A (*.f64 (pow.f64 C 2) F))))
(fma.f64 C (.f64 F (.f64 B B)) (.f64 -4 (.f64 A (.f64 (.f64 C C) F))))
(fma.f64 C (.f64 F (.f64 B B)) (.f64 A (.f64 -4 (.f64 C (.f64 C F)))))
(+.f64 (.f64 C (.f64 F (pow.f64 B 2))) (.f64 -4 (.f64 A (*.f64 (pow.f64 C 2) F))))
(fma.f64 C (.f64 F (.f64 B B)) (.f64 -4 (.f64 A (.f64 (.f64 C C) F))))
(fma.f64 C (.f64 F (.f64 B B)) (.f64 A (.f64 -4 (.f64 C (.f64 C F)))))
(.f64 C (.f64 F (pow.f64 B 2)))
(.f64 C (.f64 F (*.f64 B B)))
(.f64 F (.f64 C (*.f64 B B)))
(+.f64 (.f64 C (.f64 F (pow.f64 B 2))) (.f64 -4 (.f64 A (*.f64 (pow.f64 C 2) F))))
(fma.f64 C (.f64 F (.f64 B B)) (.f64 -4 (.f64 A (.f64 (.f64 C C) F))))
(fma.f64 C (.f64 F (.f64 B B)) (.f64 A (.f64 -4 (.f64 C (.f64 C F)))))
(+.f64 (.f64 C (.f64 F (pow.f64 B 2))) (.f64 -4 (.f64 A (*.f64 (pow.f64 C 2) F))))
(fma.f64 C (.f64 F (.f64 B B)) (.f64 -4 (.f64 A (.f64 (.f64 C C) F))))
(fma.f64 C (.f64 F (.f64 B B)) (.f64 A (.f64 -4 (.f64 C (.f64 C F)))))
(+.f64 (.f64 C (.f64 F (pow.f64 B 2))) (.f64 -4 (.f64 A (*.f64 (pow.f64 C 2) F))))
(fma.f64 C (.f64 F (.f64 B B)) (.f64 -4 (.f64 A (.f64 (.f64 C C) F))))
(fma.f64 C (.f64 F (.f64 B B)) (.f64 A (.f64 -4 (.f64 C (.f64 C F)))))
(.f64 C (.f64 F (pow.f64 B 2)))
(.f64 C (.f64 F (*.f64 B B)))
(.f64 F (.f64 C (*.f64 B B)))
(+.f64 (.f64 C (.f64 F (pow.f64 B 2))) (.f64 -4 (.f64 A (*.f64 (pow.f64 C 2) F))))
(fma.f64 C (.f64 F (.f64 B B)) (.f64 -4 (.f64 A (.f64 (.f64 C C) F))))
(fma.f64 C (.f64 F (.f64 B B)) (.f64 A (.f64 -4 (.f64 C (.f64 C F)))))
(+.f64 (.f64 C (.f64 F (pow.f64 B 2))) (.f64 -4 (.f64 A (*.f64 (pow.f64 C 2) F))))
(fma.f64 C (.f64 F (.f64 B B)) (.f64 -4 (.f64 A (.f64 (.f64 C C) F))))
(fma.f64 C (.f64 F (.f64 B B)) (.f64 A (.f64 -4 (.f64 C (.f64 C F)))))
(+.f64 (.f64 C (.f64 F (pow.f64 B 2))) (.f64 -4 (.f64 A (*.f64 (pow.f64 C 2) F))))
(fma.f64 C (.f64 F (.f64 B B)) (.f64 -4 (.f64 A (.f64 (.f64 C C) F))))
(fma.f64 C (.f64 F (.f64 B B)) (.f64 A (.f64 -4 (.f64 C (.f64 C F)))))
(.f64 C (.f64 F (pow.f64 B 2)))
(.f64 C (.f64 F (*.f64 B B)))
(.f64 F (.f64 C (*.f64 B B)))
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(/.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 -4 (.f64 A C))) (.f64 2 (.f64 F (+.f64 C 0))))) (fma.f64 B B (.f64 -4 (*.f64 A C))))
(/.f64 (sqrt.f64 (.f64 2 (.f64 F (.f64 C (fma.f64 B B (.f64 -4 (.f64 A C))))))) (fma.f64 B B (.f64 -4 (*.f64 A C))))
(.f64 (/.f64 (pow.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) (.f64 (.f64 F (-.f64 C (-.f64 A A))) 2)) 1/4) (pow.f64 (cbrt.f64 (fma.f64 B B (.f64 (.f64 -4 A) C))) 2)) (/.f64 (pow.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) (.f64 (.f64 F (-.f64 C (-.f64 A A))) 2)) 1/4) (cbrt.f64 (fma.f64 B B (.f64 (*.f64 -4 A) C)))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 B B (.f64 -4 (.f64 A C)))) 2)) (/.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 -4 (.f64 A C))) (.f64 2 (.f64 F (+.f64 C 0))))) (cbrt.f64 (fma.f64 B B (.f64 -4 (.f64 A C))))))
(/.f64 (/.f64 (sqrt.f64 (.f64 2 (.f64 F (.f64 C (fma.f64 B B (.f64 -4 (.f64 A C))))))) (cbrt.f64 (fma.f64 B B (.f64 -4 (.f64 A C))))) (pow.f64 (cbrt.f64 (fma.f64 B B (.f64 -4 (*.f64 A C)))) 2))
(.f64 (/.f64 -1 (sqrt.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)))) (/.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) (.f64 (.f64 F (-.f64 C (-.f64 A A))) 2))) (sqrt.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)))))
(.f64 (/.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 -4 (.f64 A C))) (.f64 2 (.f64 F (+.f64 C 0))))) (sqrt.f64 (fma.f64 B B (.f64 -4 (.f64 A C))))) (/.f64 -1 (sqrt.f64 (fma.f64 B B (.f64 -4 (.f64 A C))))))
(/.f64 (/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 F (.f64 C (fma.f64 B B (.f64 -4 (.f64 A C)))))))) (sqrt.f64 (fma.f64 B B (.f64 -4 (.f64 A C))))) (sqrt.f64 (fma.f64 B B (.f64 -4 (*.f64 A C)))))
(.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (fma.f64 B B (.f64 (.f64 -4 A) C))) 2)) (/.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) (.f64 (.f64 F (-.f64 C (-.f64 A A))) 2))) (cbrt.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)))))
(.f64 (/.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 -4 (.f64 A C))) (.f64 2 (.f64 F (+.f64 C 0))))) (cbrt.f64 (fma.f64 B B (.f64 -4 (.f64 A C))))) (/.f64 -1 (pow.f64 (cbrt.f64 (fma.f64 B B (.f64 -4 (.f64 A C)))) 2)))
(/.f64 (/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 F (.f64 C (fma.f64 B B (.f64 -4 (.f64 A C)))))))) (cbrt.f64 (fma.f64 B B (.f64 -4 (.f64 A C))))) (pow.f64 (cbrt.f64 (fma.f64 B B (.f64 -4 (*.f64 A C)))) 2))
(pow.f64 (/.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) (.f64 (.f64 F (-.f64 C (-.f64 A A))) 2))) (fma.f64 B B (.f64 (*.f64 -4 A) C))) 1)
(/.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 -4 (.f64 A C))) (.f64 2 (.f64 F (+.f64 C 0))))) (fma.f64 B B (.f64 -4 (*.f64 A C))))
(/.f64 (sqrt.f64 (.f64 2 (.f64 F (.f64 C (fma.f64 B B (.f64 -4 (.f64 A C))))))) (fma.f64 B B (.f64 -4 (*.f64 A C))))
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) (.f64 (.f64 F (-.f64 C (-.f64 A A))) 2))) (fma.f64 B B (.f64 (*.f64 -4 A) C)))) 2)
(/.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 -4 (.f64 A C))) (.f64 2 (.f64 F (+.f64 C 0))))) (fma.f64 B B (.f64 -4 (*.f64 A C))))
(/.f64 (sqrt.f64 (.f64 2 (.f64 F (.f64 C (fma.f64 B B (.f64 -4 (.f64 A C))))))) (fma.f64 B B (.f64 -4 (*.f64 A C))))
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) (.f64 (.f64 F (-.f64 C (-.f64 A A))) 2))) (fma.f64 B B (.f64 (*.f64 -4 A) C)))) 3)
(/.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 -4 (.f64 A C))) (.f64 2 (.f64 F (+.f64 C 0))))) (fma.f64 B B (.f64 -4 (*.f64 A C))))
(/.f64 (sqrt.f64 (.f64 2 (.f64 F (.f64 C (fma.f64 B B (.f64 -4 (.f64 A C))))))) (fma.f64 B B (.f64 -4 (*.f64 A C))))
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) (.f64 (.f64 F (-.f64 C (-.f64 A A))) 2))) (fma.f64 B B (.f64 (*.f64 -4 A) C))) 3) 1/3)
(/.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 -4 (.f64 A C))) (.f64 2 (.f64 F (+.f64 C 0))))) (fma.f64 B B (.f64 -4 (*.f64 A C))))
(/.f64 (sqrt.f64 (.f64 2 (.f64 F (.f64 C (fma.f64 B B (.f64 -4 (.f64 A C))))))) (fma.f64 B B (.f64 -4 (*.f64 A C))))
(pow.f64 (/.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) (sqrt.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) (.f64 (*.f64 F (-.f64 C (-.f64 A A))) 2)))) -1)
(/.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 -4 (.f64 A C))) (.f64 2 (.f64 F (+.f64 C 0))))) (fma.f64 B B (.f64 -4 (*.f64 A C))))
(/.f64 (sqrt.f64 (.f64 2 (.f64 F (.f64 C (fma.f64 B B (.f64 -4 (.f64 A C))))))) (fma.f64 B B (.f64 -4 (*.f64 A C))))
(neg.f64 (/.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) (.f64 (.f64 F (-.f64 C (-.f64 A A))) 2))) (fma.f64 B B (.f64 (*.f64 -4 A) C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 -4 (.f64 A C))) (.f64 2 (.f64 F (+.f64 C 0)))))) (fma.f64 B B (.f64 -4 (*.f64 A C))))
(/.f64 (sqrt.f64 (.f64 2 (.f64 F (.f64 C (fma.f64 B B (.f64 -4 (.f64 A C))))))) (neg.f64 (fma.f64 B B (.f64 -4 (*.f64 A C)))))
(sqrt.f64 (/.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) (.f64 (.f64 F (-.f64 C (-.f64 A A))) 2)) (pow.f64 (fma.f64 B B (.f64 (*.f64 -4 A) C)) 2)))
(sqrt.f64 (/.f64 (fma.f64 B B (.f64 -4 (.f64 A C))) (/.f64 (pow.f64 (fma.f64 B B (.f64 -4 (.f64 A C))) 2) (.f64 2 (.f64 F (+.f64 C 0))))))
(sqrt.f64 (.f64 (/.f64 (fma.f64 B B (.f64 -4 (.f64 A C))) (pow.f64 (fma.f64 B B (.f64 -4 (.f64 A C))) 2)) (.f64 C (*.f64 2 F))))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) (.f64 (.f64 F (-.f64 C (-.f64 A A))) 2))) (fma.f64 B B (.f64 (*.f64 -4 A) C)))))
(/.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 -4 (.f64 A C))) (.f64 2 (.f64 F (+.f64 C 0))))) (fma.f64 B B (.f64 -4 (*.f64 A C))))
(/.f64 (sqrt.f64 (.f64 2 (.f64 F (.f64 C (fma.f64 B B (.f64 -4 (.f64 A C))))))) (fma.f64 B B (.f64 -4 (*.f64 A C))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) (.f64 (.f64 F (-.f64 C (-.f64 A A))) 2))) (fma.f64 B B (.f64 (*.f64 -4 A) C))))))
(/.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 -4 (.f64 A C))) (.f64 2 (.f64 F (+.f64 C 0))))) (fma.f64 B B (.f64 -4 (*.f64 A C))))
(/.f64 (sqrt.f64 (.f64 2 (.f64 F (.f64 C (fma.f64 B B (.f64 -4 (.f64 A C))))))) (fma.f64 B B (.f64 -4 (*.f64 A C))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) (.f64 (.f64 F (-.f64 C (-.f64 A A))) 2))) (fma.f64 B B (.f64 (*.f64 -4 A) C))) 3))
(/.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 -4 (.f64 A C))) (.f64 2 (.f64 F (+.f64 C 0))))) (fma.f64 B B (.f64 -4 (*.f64 A C))))
(/.f64 (sqrt.f64 (.f64 2 (.f64 F (.f64 C (fma.f64 B B (.f64 -4 (.f64 A C))))))) (fma.f64 B B (.f64 -4 (*.f64 A C))))
(cbrt.f64 (/.f64 (pow.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) (.f64 (.f64 F (-.f64 C (-.f64 A A))) 2)) 3/2) (pow.f64 (fma.f64 B B (.f64 (*.f64 -4 A) C)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (.f64 (fma.f64 B B (.f64 -4 (.f64 A C))) (.f64 2 (.f64 F (+.f64 C 0)))) 3/2) (pow.f64 (fma.f64 B B (.f64 -4 (*.f64 A C))) 3)))
(cbrt.f64 (/.f64 (pow.f64 (.f64 2 (.f64 F (.f64 C (fma.f64 B B (.f64 -4 (.f64 A C)))))) 3/2) (pow.f64 (fma.f64 B B (.f64 -4 (*.f64 A C))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) (.f64 (.f64 F (-.f64 C (-.f64 A A))) 2))) (fma.f64 B B (.f64 (*.f64 -4 A) C)))))
(/.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 -4 (.f64 A C))) (.f64 2 (.f64 F (+.f64 C 0))))) (fma.f64 B B (.f64 -4 (*.f64 A C))))
(/.f64 (sqrt.f64 (.f64 2 (.f64 F (.f64 C (fma.f64 B B (.f64 -4 (.f64 A C))))))) (fma.f64 B B (.f64 -4 (*.f64 A C))))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) (.f64 (.f64 F (-.f64 C (-.f64 A A))) 2))) (fma.f64 B B (.f64 (*.f64 -4 A) C)))))
(/.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 -4 (.f64 A C))) (.f64 2 (.f64 F (+.f64 C 0))))) (fma.f64 B B (.f64 -4 (*.f64 A C))))
(/.f64 (sqrt.f64 (.f64 2 (.f64 F (.f64 C (fma.f64 B B (.f64 -4 (.f64 A C))))))) (fma.f64 B B (.f64 -4 (*.f64 A C))))
(exp.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) (.f64 (.f64 F (-.f64 C (-.f64 A A))) 2))) (fma.f64 B B (.f64 (.f64 -4 A) C)))) 1))
(/.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 -4 (.f64 A C))) (.f64 2 (.f64 F (+.f64 C 0))))) (fma.f64 B B (.f64 -4 (*.f64 A C))))
(/.f64 (sqrt.f64 (.f64 2 (.f64 F (.f64 C (fma.f64 B B (.f64 -4 (.f64 A C))))))) (fma.f64 B B (.f64 -4 (*.f64 A C))))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) (.f64 (.f64 F (-.f64 C (-.f64 A A))) 2))) (fma.f64 B B (.f64 (*.f64 -4 A) C)))))
(/.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 -4 (.f64 A C))) (.f64 2 (.f64 F (+.f64 C 0))))) (fma.f64 B B (.f64 -4 (*.f64 A C))))
(/.f64 (sqrt.f64 (.f64 2 (.f64 F (.f64 C (fma.f64 B B (.f64 -4 (.f64 A C))))))) (fma.f64 B B (.f64 -4 (*.f64 A C))))

localize82.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	5.0b	(.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F)
✓	6.7b	(/.f64 (pow.f64 (-.f64 A C) 2) B)
✓	13.2b	(sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B)) B))))))
✓	15.3b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (+.f64 (.f64 1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B)) B))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))

Compiler

Compiled 263 to 132 computations (49.8% saved)

series73.0ms (0.1%)

Counts

3 → 40

Calls

33 calls:

Time	Variable		Point	Expression
18.0ms	C	@	0	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (+.f64 (.f64 1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B)) B))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
4.0ms	A	@	0	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (+.f64 (.f64 1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B)) B))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
3.0ms	A	@	-inf	(sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B)) B))))))
3.0ms	A	@	inf	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (+.f64 (.f64 1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B)) B))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
3.0ms	A	@	0	(sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B)) B))))))

rewrite75.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

654×	`add-sqr-sqrt`
638×	`*-un-lft-identity`
636×	`pow1`
610×	`add-exp-log`
608×	`add-cbrt-cube`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	223
1	631	211

Stop Event

1×	node limit

Counts

3 → 87

Calls

Call 1

Inputs

(/.f64 (neg.f64 (sqrt.f64 (*.f64 2 (*.f64 (*.f64 (-.f64 (*.f64 B B) (*.f64 4 (*.f64 A C))) F) (+.f64 A (-.f64 C (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B)) B))))))) (-.f64 (*.f64 B B) (*.f64 4 (*.f64 A C))))

(sqrt.f64 (*.f64 2 (*.f64 (*.f64 (-.f64 (*.f64 B B) (*.f64 4 (*.f64 A C))) F) (+.f64 A (-.f64 C (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B)) B))))))

(/.f64 (pow.f64 (-.f64 A C) 2) B)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (sqrt.f64 (*.f64 2 (*.f64 F (*.f64 (fma.f64 B B (*.f64 (*.f64 A C) -4)) (+.f64 A (-.f64 C (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B) B))))))) (fma.f64 B B (*.f64 (*.f64 A C) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (fma.f64 B B (*.f64 (*.f64 A C) -4))) (/.f64 (sqrt.f64 (*.f64 2 (*.f64 F (*.f64 (fma.f64 B B (*.f64 (*.f64 A C) -4)) (+.f64 A (-.f64 C (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B) B))))))) (fma.f64 B B (*.f64 (*.f64 A C) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 2 (*.f64 F (*.f64 (fma.f64 B B (*.f64 (*.f64 A C) -4)) (+.f64 A (-.f64 C (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B) B))))))) (/.f64 1 (neg.f64 (fma.f64 B B (*.f64 (*.f64 A C) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (*.f64 2 (*.f64 F (*.f64 (fma.f64 B B (*.f64 (*.f64 A C) -4)) (+.f64 A (-.f64 C (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B) B)))))))) (/.f64 1 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simplify177.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1132×	`associate-/r/`
926×	`associate-r`
850×	`*-commutative`
778×	`associate-/l/`
766×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	476	17039
1	1461	16353
2	5880	16343

Stop Event

1×	node limit

Counts

127 → 226

Calls

Call 1

Inputs
(.f64 -1 (.f64 (/.f64 (sqrt.f64 2) B) (sqrt.f64 (.f64 F (-.f64 C (+.f64 (.f64 1/2 (/.f64 (pow.f64 C 2) B)) B))))))
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(.f64 -1 (.f64 (/.f64 (sqrt.f64 2) B) (sqrt.f64 (.f64 F (-.f64 A (+.f64 (.f64 1/2 (/.f64 (pow.f64 A 2) B)) B))))))
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(.f64 (-.f64 A C) (.f64 (-.f64 A C) (/.f64 1 B)))
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(*.f64 (/.f64 1 (sqrt.f64 B)) (/.f64 (pow.f64 (-.f64 A C) 2) (sqrt.f64 B)))
(.f64 (/.f64 1 (cbrt.f64 (.f64 B B))) (/.f64 (pow.f64 (-.f64 A C) 2) (cbrt.f64 B)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 A C) 2) B) 1/2) (pow.f64 (/.f64 (pow.f64 (-.f64 A C) 2) B) 1/2))
(*.f64 (/.f64 (-.f64 A C) 1) (/.f64 (-.f64 A C) B))
(*.f64 (/.f64 (-.f64 A C) (sqrt.f64 B)) (/.f64 (-.f64 A C) (sqrt.f64 B)))
(.f64 (/.f64 (-.f64 A C) (cbrt.f64 (.f64 B B))) (/.f64 (-.f64 A C) (cbrt.f64 B)))
(*.f64 (/.f64 (fabs.f64 (-.f64 A C)) 1) (/.f64 (fabs.f64 (-.f64 A C)) B))
(*.f64 (/.f64 (fabs.f64 (-.f64 A C)) (sqrt.f64 B)) (/.f64 (fabs.f64 (-.f64 A C)) (sqrt.f64 B)))
(.f64 (/.f64 (fabs.f64 (-.f64 A C)) (cbrt.f64 (.f64 B B))) (/.f64 (fabs.f64 (-.f64 A C)) (cbrt.f64 B)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 A C) 4)) 1) (/.f64 (cbrt.f64 (pow.f64 (-.f64 A C) 2)) B))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 A C) 4)) (sqrt.f64 B)) (/.f64 (cbrt.f64 (pow.f64 (-.f64 A C) 2)) (sqrt.f64 B)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 A C) 4)) (cbrt.f64 (.f64 B B))) (/.f64 (cbrt.f64 (pow.f64 (-.f64 A C) 2)) (cbrt.f64 B)))
(pow.f64 (/.f64 (pow.f64 (-.f64 A C) 2) B) 1)
(neg.f64 (/.f64 (pow.f64 (-.f64 A C) 2) (neg.f64 B)))
(log.f64 (exp.f64 (/.f64 (pow.f64 (-.f64 A C) 2) B)))
(cbrt.f64 (.f64 (/.f64 (pow.f64 (-.f64 A C) 2) B) (/.f64 (pow.f64 (-.f64 A C) 4) (.f64 B B))))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (-.f64 A C) 2) B)))
(exp.f64 (log.f64 (/.f64 (pow.f64 (-.f64 A C) 2) B)))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (-.f64 A C) 2) B)))

Outputs
(.f64 -1 (.f64 (/.f64 (sqrt.f64 2) B) (sqrt.f64 (.f64 F (-.f64 C (+.f64 (.f64 1/2 (/.f64 (pow.f64 C 2) B)) B))))))
(neg.f64 (.f64 (/.f64 (sqrt.f64 2) B) (sqrt.f64 (.f64 F (-.f64 C (fma.f64 1/2 (/.f64 (*.f64 C C) B) B))))))
(.f64 (/.f64 (sqrt.f64 2) B) (neg.f64 (sqrt.f64 (.f64 F (-.f64 C (fma.f64 1/2 (/.f64 (*.f64 C C) B) B))))))
(.f64 (/.f64 (sqrt.f64 2) B) (neg.f64 (sqrt.f64 (.f64 F (-.f64 C (fma.f64 1/2 (*.f64 (/.f64 C B) C) B))))))
(+.f64 (.f64 -1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 A (.f64 (-.f64 (/.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 C B))) F) (pow.f64 B 2)) (.f64 -4 (/.f64 (.f64 C (.f64 F (-.f64 C (+.f64 (.f64 1/2 (/.f64 (pow.f64 C 2) B)) B)))) (pow.f64 B 4)))) B))) (sqrt.f64 (/.f64 1 (.f64 F (-.f64 C (+.f64 (.f64 1/2 (/.f64 (pow.f64 C 2) B)) B))))))) (.f64 -1 (.f64 (/.f64 (sqrt.f64 2) B) (sqrt.f64 (.f64 F (-.f64 C (+.f64 (*.f64 1/2 (/.f64 (pow.f64 C 2) B)) B)))))))
(fma.f64 -1/2 (.f64 (sqrt.f64 2) (.f64 (.f64 A (.f64 B (+.f64 (/.f64 F (/.f64 (.f64 B B) (-.f64 1 (neg.f64 (/.f64 C B))))) (.f64 4 (/.f64 C (/.f64 (pow.f64 B 4) (.f64 F (-.f64 C (fma.f64 1/2 (/.f64 (.f64 C C) B) B))))))))) (sqrt.f64 (/.f64 (/.f64 1 F) (-.f64 C (fma.f64 1/2 (/.f64 (.f64 C C) B) B)))))) (neg.f64 (.f64 (/.f64 (sqrt.f64 2) B) (sqrt.f64 (.f64 F (-.f64 C (fma.f64 1/2 (/.f64 (.f64 C C) B) B)))))))
(-.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 F (-.f64 C (fma.f64 1/2 (/.f64 (.f64 C C) B) B))))) (.f64 -1/2 (.f64 (.f64 B (+.f64 (.f64 (/.f64 F B) (/.f64 (+.f64 1 (/.f64 C B)) B)) (/.f64 (.f64 4 C) (/.f64 (/.f64 (pow.f64 B 4) F) (-.f64 C (fma.f64 1/2 (/.f64 (.f64 C C) B) B)))))) (.f64 (sqrt.f64 2) A)))) (.f64 (/.f64 (sqrt.f64 2) B) (sqrt.f64 (.f64 F (-.f64 C (fma.f64 1/2 (/.f64 (*.f64 C C) B) B))))))
(-.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 F (-.f64 C (fma.f64 1/2 (.f64 (/.f64 C B) C) B))))) (.f64 -1/2 (.f64 (.f64 B (+.f64 (.f64 (/.f64 F B) (/.f64 (+.f64 1 (/.f64 C B)) B)) (.f64 (/.f64 (.f64 4 C) (/.f64 (pow.f64 B 4) F)) (-.f64 C (fma.f64 1/2 (.f64 (/.f64 C B) C) B))))) (.f64 (sqrt.f64 2) A)))) (.f64 (/.f64 (sqrt.f64 2) B) (sqrt.f64 (.f64 F (-.f64 C (fma.f64 1/2 (.f64 (/.f64 C B) C) B))))))
(+.f64 (.f64 -1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 A 2) (.f64 (-.f64 (.f64 -1/2 (/.f64 F (pow.f64 B 3))) (+.f64 (.f64 -4 (/.f64 (.f64 (-.f64 (/.f64 (.f64 F (-.f64 1 (.f64 -1 (/.f64 C B)))) (pow.f64 B 2)) (.f64 -4 (/.f64 (.f64 C (.f64 F (-.f64 C (+.f64 (.f64 1/2 (/.f64 (pow.f64 C 2) B)) B)))) (pow.f64 B 4)))) C) (pow.f64 B 2))) (pow.f64 (.f64 1/2 (.f64 (.f64 (-.f64 (/.f64 (.f64 F (-.f64 1 (.f64 -1 (/.f64 C B)))) (pow.f64 B 2)) (.f64 -4 (/.f64 (.f64 C (.f64 F (-.f64 C (+.f64 (.f64 1/2 (/.f64 (pow.f64 C 2) B)) B)))) (pow.f64 B 4)))) B) (sqrt.f64 (/.f64 1 (.f64 F (-.f64 C (+.f64 (.f64 1/2 (/.f64 (pow.f64 C 2) B)) B))))))) 2))) B))) (sqrt.f64 (/.f64 1 (.f64 F (-.f64 C (+.f64 (.f64 1/2 (/.f64 (pow.f64 C 2) B)) B))))))) (+.f64 (.f64 -1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 A (.f64 (-.f64 (/.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 C B))) F) (pow.f64 B 2)) (.f64 -4 (/.f64 (.f64 C (.f64 F (-.f64 C (+.f64 (.f64 1/2 (/.f64 (pow.f64 C 2) B)) B)))) (pow.f64 B 4)))) B))) (sqrt.f64 (/.f64 1 (.f64 F (-.f64 C (+.f64 (.f64 1/2 (/.f64 (pow.f64 C 2) B)) B))))))) (.f64 -1 (.f64 (/.f64 (sqrt.f64 2) B) (sqrt.f64 (.f64 F (-.f64 C (+.f64 (.f64 1/2 (/.f64 (pow.f64 C 2) B)) B))))))))
(fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 (/.f64 1 F) (-.f64 C (fma.f64 1/2 (/.f64 (.f64 C C) B) B)))) (.f64 (.f64 (sqrt.f64 2) (.f64 A A)) (.f64 B (-.f64 (/.f64 (.f64 -1/2 F) (pow.f64 B 3)) (fma.f64 -4 (/.f64 C (/.f64 (.f64 B B) (+.f64 (/.f64 F (/.f64 (.f64 B B) (-.f64 1 (neg.f64 (/.f64 C B))))) (.f64 4 (/.f64 C (/.f64 (pow.f64 B 4) (.f64 F (-.f64 C (fma.f64 1/2 (/.f64 (.f64 C C) B) B))))))))) (pow.f64 (.f64 1/2 (.f64 (+.f64 (/.f64 F (/.f64 (.f64 B B) (-.f64 1 (neg.f64 (/.f64 C B))))) (.f64 4 (/.f64 C (/.f64 (pow.f64 B 4) (.f64 F (-.f64 C (fma.f64 1/2 (/.f64 (.f64 C C) B) B))))))) (.f64 B (sqrt.f64 (/.f64 (/.f64 1 F) (-.f64 C (fma.f64 1/2 (/.f64 (.f64 C C) B) B))))))) 2)))))) (fma.f64 -1/2 (.f64 (sqrt.f64 2) (.f64 (.f64 A (.f64 B (+.f64 (/.f64 F (/.f64 (.f64 B B) (-.f64 1 (neg.f64 (/.f64 C B))))) (.f64 4 (/.f64 C (/.f64 (pow.f64 B 4) (.f64 F (-.f64 C (fma.f64 1/2 (/.f64 (.f64 C C) B) B))))))))) (sqrt.f64 (/.f64 (/.f64 1 F) (-.f64 C (fma.f64 1/2 (/.f64 (.f64 C C) B) B)))))) (neg.f64 (.f64 (/.f64 (sqrt.f64 2) B) (sqrt.f64 (.f64 F (-.f64 C (fma.f64 1/2 (/.f64 (.f64 C C) B) B))))))))
(-.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 F (-.f64 C (fma.f64 1/2 (/.f64 (.f64 C C) B) B))))) (+.f64 (.f64 (.f64 -1/2 (sqrt.f64 2)) (.f64 (-.f64 (fma.f64 -1/2 (/.f64 F (pow.f64 B 3)) (.f64 4 (.f64 (/.f64 C (.f64 B B)) (+.f64 (.f64 (/.f64 F B) (/.f64 (+.f64 1 (/.f64 C B)) B)) (/.f64 (.f64 4 C) (/.f64 (/.f64 (pow.f64 B 4) F) (-.f64 C (fma.f64 1/2 (/.f64 (.f64 C C) B) B)))))))) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 F (-.f64 C (fma.f64 1/2 (/.f64 (.f64 C C) B) B))))) (.f64 1/2 (.f64 B (+.f64 (.f64 (/.f64 F B) (/.f64 (+.f64 1 (/.f64 C B)) B)) (/.f64 (.f64 4 C) (/.f64 (/.f64 (pow.f64 B 4) F) (-.f64 C (fma.f64 1/2 (/.f64 (.f64 C C) B) B)))))))) 2)) (.f64 B (.f64 A A)))) (.f64 -1/2 (.f64 (.f64 B (+.f64 (.f64 (/.f64 F B) (/.f64 (+.f64 1 (/.f64 C B)) B)) (/.f64 (.f64 4 C) (/.f64 (/.f64 (pow.f64 B 4) F) (-.f64 C (fma.f64 1/2 (/.f64 (.f64 C C) B) B)))))) (.f64 (sqrt.f64 2) A))))) (.f64 (/.f64 (sqrt.f64 2) B) (sqrt.f64 (.f64 F (-.f64 C (fma.f64 1/2 (/.f64 (.f64 C C) B) B))))))
(-.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 F (-.f64 C (fma.f64 1/2 (.f64 (/.f64 C B) C) B))))) (+.f64 (.f64 -1/2 (.f64 (.f64 B (+.f64 (.f64 (/.f64 F B) (/.f64 (+.f64 1 (/.f64 C B)) B)) (.f64 (/.f64 (.f64 4 C) (/.f64 (pow.f64 B 4) F)) (-.f64 C (fma.f64 1/2 (.f64 (/.f64 C B) C) B))))) (.f64 (sqrt.f64 2) A))) (.f64 (.f64 -1/2 (sqrt.f64 2)) (.f64 (-.f64 (fma.f64 -1/2 (/.f64 F (pow.f64 B 3)) (.f64 4 (.f64 (/.f64 C (.f64 B B)) (+.f64 (.f64 (/.f64 F B) (/.f64 (+.f64 1 (/.f64 C B)) B)) (.f64 (/.f64 (.f64 4 C) (/.f64 (pow.f64 B 4) F)) (-.f64 C (fma.f64 1/2 (.f64 (/.f64 C B) C) B))))))) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 F (-.f64 C (fma.f64 1/2 (.f64 (/.f64 C B) C) B))))) (.f64 1/2 (.f64 B (+.f64 (.f64 (/.f64 F B) (/.f64 (+.f64 1 (/.f64 C B)) B)) (.f64 (/.f64 (.f64 4 C) (/.f64 (pow.f64 B 4) F)) (-.f64 C (fma.f64 1/2 (.f64 (/.f64 C B) C) B))))))) 2)) (.f64 B (.f64 A A)))))) (.f64 (/.f64 (sqrt.f64 2) B) (sqrt.f64 (.f64 F (-.f64 C (fma.f64 1/2 (*.f64 (/.f64 C B) C) B))))))
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(*.f64 (/.f64 1 (sqrt.f64 B)) (/.f64 (pow.f64 (-.f64 A C) 2) (sqrt.f64 B)))
(/.f64 (/.f64 (pow.f64 (-.f64 A C) 2) (sqrt.f64 B)) (sqrt.f64 B))
(/.f64 (pow.f64 (-.f64 A C) 2) (*.f64 (sqrt.f64 B) (sqrt.f64 B)))
(.f64 (/.f64 1 (cbrt.f64 (.f64 B B))) (/.f64 (pow.f64 (-.f64 A C) 2) (cbrt.f64 B)))
(/.f64 (.f64 1 (/.f64 (pow.f64 (-.f64 A C) 2) (cbrt.f64 B))) (cbrt.f64 (.f64 B B)))
(/.f64 (/.f64 (pow.f64 (-.f64 A C) 2) (cbrt.f64 B)) (cbrt.f64 (*.f64 B B)))
(/.f64 (pow.f64 (-.f64 A C) 2) (.f64 (cbrt.f64 B) (cbrt.f64 (.f64 B B))))
(*.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 A C) 2) B) 1/2) (pow.f64 (/.f64 (pow.f64 (-.f64 A C) 2) B) 1/2))
(/.f64 (pow.f64 (-.f64 A C) 2) B)
(*.f64 (/.f64 (-.f64 A C) 1) (/.f64 (-.f64 A C) B))
(/.f64 (pow.f64 (-.f64 A C) 2) B)
(*.f64 (/.f64 (-.f64 A C) (sqrt.f64 B)) (/.f64 (-.f64 A C) (sqrt.f64 B)))
(*.f64 (/.f64 1 (sqrt.f64 B)) (/.f64 (pow.f64 (-.f64 A C) 2) (sqrt.f64 B)))
(/.f64 (/.f64 (pow.f64 (-.f64 A C) 2) (sqrt.f64 B)) (sqrt.f64 B))
(/.f64 (pow.f64 (-.f64 A C) 2) (*.f64 (sqrt.f64 B) (sqrt.f64 B)))
(.f64 (/.f64 (-.f64 A C) (cbrt.f64 (.f64 B B))) (/.f64 (-.f64 A C) (cbrt.f64 B)))
(/.f64 (.f64 1 (/.f64 (pow.f64 (-.f64 A C) 2) (cbrt.f64 B))) (cbrt.f64 (.f64 B B)))
(/.f64 (/.f64 (pow.f64 (-.f64 A C) 2) (cbrt.f64 B)) (cbrt.f64 (*.f64 B B)))
(/.f64 (pow.f64 (-.f64 A C) 2) (.f64 (cbrt.f64 B) (cbrt.f64 (.f64 B B))))
(*.f64 (/.f64 (fabs.f64 (-.f64 A C)) 1) (/.f64 (fabs.f64 (-.f64 A C)) B))
(/.f64 (pow.f64 (-.f64 A C) 2) B)
(*.f64 (/.f64 (fabs.f64 (-.f64 A C)) (sqrt.f64 B)) (/.f64 (fabs.f64 (-.f64 A C)) (sqrt.f64 B)))
(*.f64 (/.f64 1 (sqrt.f64 B)) (/.f64 (pow.f64 (-.f64 A C) 2) (sqrt.f64 B)))
(/.f64 (/.f64 (pow.f64 (-.f64 A C) 2) (sqrt.f64 B)) (sqrt.f64 B))
(/.f64 (pow.f64 (-.f64 A C) 2) (*.f64 (sqrt.f64 B) (sqrt.f64 B)))
(.f64 (/.f64 (fabs.f64 (-.f64 A C)) (cbrt.f64 (.f64 B B))) (/.f64 (fabs.f64 (-.f64 A C)) (cbrt.f64 B)))
(/.f64 (.f64 1 (/.f64 (pow.f64 (-.f64 A C) 2) (cbrt.f64 B))) (cbrt.f64 (.f64 B B)))
(/.f64 (/.f64 (pow.f64 (-.f64 A C) 2) (cbrt.f64 B)) (cbrt.f64 (*.f64 B B)))
(/.f64 (pow.f64 (-.f64 A C) 2) (.f64 (cbrt.f64 B) (cbrt.f64 (.f64 B B))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 A C) 4)) 1) (/.f64 (cbrt.f64 (pow.f64 (-.f64 A C) 2)) B))
(.f64 (cbrt.f64 (pow.f64 (-.f64 A C) 4)) (.f64 (/.f64 1 B) (cbrt.f64 (pow.f64 (-.f64 A C) 2))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 A C) 4)) (/.f64 (cbrt.f64 (pow.f64 (-.f64 A C) 2)) B))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 A C) 4)) B) (cbrt.f64 (pow.f64 (-.f64 A C) 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 A C) 4)) (sqrt.f64 B)) (/.f64 (cbrt.f64 (pow.f64 (-.f64 A C) 2)) (sqrt.f64 B)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 A C) 2)) (/.f64 (cbrt.f64 (pow.f64 (-.f64 A C) 4)) (sqrt.f64 B))) (sqrt.f64 B))
(*.f64 (/.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 A C) 4)) (sqrt.f64 B)) (sqrt.f64 B)) (cbrt.f64 (pow.f64 (-.f64 A C) 2)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 A C) 4)) (cbrt.f64 (.f64 B B))) (/.f64 (cbrt.f64 (pow.f64 (-.f64 A C) 2)) (cbrt.f64 B)))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 A C) 4)) (cbrt.f64 (*.f64 B B))) (/.f64 (cbrt.f64 B) (cbrt.f64 (pow.f64 (-.f64 A C) 2))))
(pow.f64 (/.f64 (pow.f64 (-.f64 A C) 2) B) 1)
(/.f64 (pow.f64 (-.f64 A C) 2) B)
(neg.f64 (/.f64 (pow.f64 (-.f64 A C) 2) (neg.f64 B)))
(/.f64 (pow.f64 (-.f64 A C) 2) B)
(log.f64 (exp.f64 (/.f64 (pow.f64 (-.f64 A C) 2) B)))
(/.f64 (pow.f64 (-.f64 A C) 2) B)
(cbrt.f64 (.f64 (/.f64 (pow.f64 (-.f64 A C) 2) B) (/.f64 (pow.f64 (-.f64 A C) 4) (.f64 B B))))
(cbrt.f64 (/.f64 (*.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 (-.f64 A C) 4)) (pow.f64 B 3)))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (-.f64 A C) 2) B)))
(/.f64 (pow.f64 (-.f64 A C) 2) B)
(exp.f64 (log.f64 (/.f64 (pow.f64 (-.f64 A C) 2) B)))
(/.f64 (pow.f64 (-.f64 A C) 2) B)
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (-.f64 A C) 2) B)))
(/.f64 (pow.f64 (-.f64 A C) 2) B)

localize40.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.9b	(-.f64 (.f64 B B) (.f64 4 (*.f64 A C)))
✓	9.0b	(sqrt.f64 (.f64 F (-.f64 A (sqrt.f64 (+.f64 (.f64 B B) (*.f64 A A))))))
✓	18.3b	(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (-.f64 A (sqrt.f64 (+.f64 (.f64 B B) (.f64 A A)))))) (.f64 B (sqrt.f64 2)))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
✓	29.9b	(sqrt.f64 (+.f64 (.f64 B B) (.f64 A A)))

Compiler

Compiled 155 to 42 computations (72.9% saved)

series37.0ms (0.1%)

Counts

4 → 88

Calls

36 calls:

Time	Variable		Point	Expression
10.0ms	B	@	0	(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (-.f64 A (sqrt.f64 (+.f64 (.f64 B B) (.f64 A A)))))) (.f64 B (sqrt.f64 2)))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
3.0ms	A	@	inf	(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (-.f64 A (sqrt.f64 (+.f64 (.f64 B B) (.f64 A A)))))) (.f64 B (sqrt.f64 2)))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
3.0ms	A	@	-inf	(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (-.f64 A (sqrt.f64 (+.f64 (.f64 B B) (.f64 A A)))))) (.f64 B (sqrt.f64 2)))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
2.0ms	A	@	0	(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (-.f64 A (sqrt.f64 (+.f64 (.f64 B B) (.f64 A A)))))) (.f64 B (sqrt.f64 2)))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
2.0ms	F	@	0	(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (-.f64 A (sqrt.f64 (+.f64 (.f64 B B) (.f64 A A)))))) (.f64 B (sqrt.f64 2)))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))

rewrite121.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

540×	`add-sqr-sqrt`
526×	`pow1`
526×	`*-un-lft-identity`
500×	`add-exp-log`
500×	`log1p-expm1-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	128
1	530	116
2	7498	116

Stop Event

1×	node limit

Counts

4 → 171

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 (.f64 B B) (.f64 A A)))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (-.f64 A (sqrt.f64 (+.f64 (.f64 B B) (.f64 A A)))))) (.f64 B (sqrt.f64 2)))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(sqrt.f64 (.f64 F (-.f64 A (sqrt.f64 (+.f64 (.f64 B B) (*.f64 A A))))))
(-.f64 (.f64 B B) (.f64 4 (*.f64 A C)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 B A))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (hypot.f64 B A) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (hypot.f64 B A))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (hypot.f64 B A)) (sqrt.f64 (hypot.f64 B A)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (hypot.f64 B A)) (pow.f64 (cbrt.f64 (hypot.f64 B A)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (hypot.f64 B A)) 2) (cbrt.f64 (hypot.f64 B A)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 B A) 2) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 B A)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/2) (hypot.f64 B A))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 B A) 2) 2)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 B A)) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (pow.f64 B 6) (pow.f64 A 6))) (sqrt.f64 (-.f64 (+.f64 (pow.f64 B 4) (pow.f64 A 4)) (pow.f64 (.f64 B A) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 B 4) (pow.f64 A 4))) (sqrt.f64 (-.f64 (.f64 B B) (.f64 A A))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 B A) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 B A) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (hypot.f64 B A)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 B A)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 B A) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (hypot.f64 B A))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 B A)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 B A))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (hypot.f64 B A) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 B A)))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 B A)))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 A B)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 B A)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (hypot.f64 B A) 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 B A)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 B A)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (sqrt.f64 (.f64 F (-.f64 A (hypot.f64 B A)))) (/.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) (.f64 B (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 (.f64 F (-.f64 A (hypot.f64 B A)))) (/.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) (.f64 B (sqrt.f64 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (fma.f64 B B (.f64 (.f64 A C) -4))) (/.f64 (sqrt.f64 (.f64 F (-.f64 A (hypot.f64 B A)))) (/.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) (.f64 B (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 F (-.f64 A (hypot.f64 B A)))) (.f64 (.f64 B (neg.f64 (sqrt.f64 2))) (/.f64 1 (fma.f64 B B (.f64 (.f64 A C) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 B (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 F (-.f64 A (hypot.f64 B A)))))) (/.f64 1 (fma.f64 B B (.f64 (.f64 A C) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 B (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 F (-.f64 A (hypot.f64 B A)))))) (/.f64 1 (neg.f64 (fma.f64 B B (.f64 (.f64 A C) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 F (-.f64 A (hypot.f64 B A)))) (/.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) (.f64 B (sqrt.f64 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (sqrt.f64 (.f64 F (-.f64 A (hypot.f64 B A)))) (/.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) (.f64 B (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (sqrt.f64 (.f64 F (-.f64 A (hypot.f64 B A)))) (/.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) (.f64 B (sqrt.f64 2))))) (sqrt.f64 (/.f64 (sqrt.f64 (.f64 F (-.f64 A (hypot.f64 B A)))) (/.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) (.f64 B (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 B (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 F (-.f64 A (hypot.f64 B A))))))) (.f64 (sqrt.f64 (.f64 B (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 F (-.f64 A (hypot.f64 B A))))))) (/.f64 1 (fma.f64 B B (.f64 (.f64 A C) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 F (-.f64 A (hypot.f64 B A)))) (/.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) (.f64 B (sqrt.f64 2))))) (cbrt.f64 (/.f64 (.f64 (.f64 F (-.f64 A (hypot.f64 B A))) (.f64 (.f64 B B) 2)) (pow.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (.f64 (.f64 F (-.f64 A (hypot.f64 B A))) (.f64 (.f64 B B) 2)) (pow.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) 2))) (cbrt.f64 (/.f64 (sqrt.f64 (.f64 F (-.f64 A (hypot.f64 B A)))) (/.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) (.f64 B (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (.f64 F (-.f64 A (hypot.f64 B A))) (.f64 (.f64 B B) 2))) (.f64 (cbrt.f64 (.f64 B (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 F (-.f64 A (hypot.f64 B A))))))) (/.f64 1 (fma.f64 B B (.f64 (.f64 A C) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (sqrt.f64 (.f64 F (-.f64 A (hypot.f64 B 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(.f64 A C) -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 B B (.f64 (.f64 A C) -4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 B B (.f64 (.f64 A C) -4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 B B (.f64 (.f64 A C) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 B B (.f64 (.f64 A C) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 B B (.f64 (.f64 A C) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 B B (.f64 (.f64 A C) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 B B (.f64 (.f64 A C) -4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 B B (.f64 (.f64 A C) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 B B (.f64 (.f64 A C) -4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 B B) (.f64 (.f64 A C) -4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 B B (.f64 (.f64 A C) -4)) (+.f64 (.f64 A (.f64 C 4)) (.f64 (.f64 A C) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 B B (.f64 (.f64 A C) -4))) (sqrt.f64 (fma.f64 B B (.f64 (.f64 A C) -4))) (+.f64 (.f64 A (.f64 C 4)) (.f64 (.f64 A C) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 B B (.f64 (.f64 A C) -4))) 2) (cbrt.f64 (fma.f64 B B (.f64 (.f64 A C) -4))) (+.f64 (.f64 A (.f64 C 4)) (.f64 (.f64 A C) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 B 4)) (pow.f64 (cbrt.f64 B) 2) (.f64 (.f64 A C) -4))))))

simplify127.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1380×	`associate-r`
1244×	`associate-l`
1048×	`*-commutative`
816×	`associate-/r*`
806×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	763	16821
1	2203	15937

Stop Event

1×	node limit

Counts

259 → 345

Calls

Call 1

Inputs
A
(+.f64 A (*.f64 1/2 (/.f64 (pow.f64 B 2) A)))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 B 4) (pow.f64 A 3))) (+.f64 A (.f64 1/2 (/.f64 (pow.f64 B 2) A))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 B 4) (pow.f64 A 3))) (+.f64 A (+.f64 (.f64 1/16 (/.f64 (pow.f64 B 6) (pow.f64 A 5))) (*.f64 1/2 (/.f64 (pow.f64 B 2) A)))))
B
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 A 2) B)) B)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 A 2) B)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 A 4) (pow.f64 B 3))) B))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 A 2) B)) (+.f64 (.f64 1/16 (/.f64 (pow.f64 A 6) (pow.f64 B 5))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 A 4) (pow.f64 B 3))) B)))
(*.f64 -1 B)
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 A 2) B)) (.f64 -1 B))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 A 2) B)) (+.f64 (.f64 -1 B) (*.f64 1/8 (/.f64 (pow.f64 A 4) (pow.f64 B 3)))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 A 2) B)) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 A 6) (pow.f64 B 5))) (+.f64 (.f64 -1 B) (.f64 1/8 (/.f64 (pow.f64 A 4) (pow.f64 B 3))))))
B
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 A 2) B)) B)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 A 2) B)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 A 4) (pow.f64 B 3))) B))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 A 2) B)) (+.f64 (.f64 1/16 (/.f64 (pow.f64 A 6) (pow.f64 B 5))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 A 4) (pow.f64 B 3))) B)))
A
(+.f64 A (*.f64 1/2 (/.f64 (pow.f64 B 2) A)))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 B 4) (pow.f64 A 3))) (+.f64 A (.f64 1/2 (/.f64 (pow.f64 B 2) A))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 B 4) (pow.f64 A 3))) (+.f64 A (+.f64 (.f64 1/16 (/.f64 (pow.f64 B 6) (pow.f64 A 5))) (*.f64 1/2 (/.f64 (pow.f64 B 2) A)))))
(*.f64 -1 A)
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 B 2) A)) (.f64 -1 A))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 B 4) (pow.f64 A 3))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 B 2) A)) (*.f64 -1 A)))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 B 4) (pow.f64 A 3))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 B 2) A)) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 B 6) (pow.f64 A 5))) (.f64 -1 A))))
(.f64 -1 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (/.f64 F B))))
(+.f64 (.f64 -1 (.f64 A (+.f64 (.f64 4 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) C)) (sqrt.f64 (/.f64 F (pow.f64 B 5))))) (.f64 1/2 (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (/.f64 F (pow.f64 B 3)))))))) (.f64 -1 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (/.f64 F B)))))
(+.f64 (.f64 -1 (.f64 A (+.f64 (.f64 4 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) C)) (sqrt.f64 (/.f64 F (pow.f64 B 5))))) (.f64 1/2 (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (/.f64 F (pow.f64 B 3)))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 A 2) (+.f64 (.f64 16 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (pow.f64 C 2))) (sqrt.f64 (/.f64 F (pow.f64 B 9))))) (+.f64 (.f64 1/2 (.f64 (/.f64 (.f64 (sqrt.f64 2) (-.f64 (.f64 -1/2 (/.f64 F B)) (pow.f64 (.f64 1/2 (.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 F B)))) 2))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (.f64 F (pow.f64 B 3)))))) (.f64 2 (.f64 (/.f64 (.f64 (sqrt.f64 2) C) (sqrt.f64 -1)) (sqrt.f64 (/.f64 F (pow.f64 B 7))))))))) (.f64 -1 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (/.f64 F B))))))
(+.f64 (.f64 -1 (.f64 (pow.f64 A 3) (+.f64 (.f64 -1/4 (.f64 (/.f64 (.f64 (sqrt.f64 2) (-.f64 (.f64 -1/2 (/.f64 F B)) (pow.f64 (.f64 1/2 (.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 F B)))) 2))) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (.f64 F (pow.f64 B 5)))))) (+.f64 (.f64 2 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 C (-.f64 (.f64 -1/2 (/.f64 F B)) (pow.f64 (.f64 1/2 (.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 F B)))) 2)))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (.f64 F (pow.f64 B 7)))))) (+.f64 (.f64 64 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (pow.f64 C 3))) (sqrt.f64 (/.f64 F (pow.f64 B 13))))) (.f64 8 (.f64 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 C 2)) (sqrt.f64 -1)) (sqrt.f64 (/.f64 F (pow.f64 B 11)))))))))) (+.f64 (.f64 -1 (.f64 A (+.f64 (.f64 4 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) C)) (sqrt.f64 (/.f64 F (pow.f64 B 5))))) (.f64 1/2 (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (/.f64 F (pow.f64 B 3)))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 A 2) (+.f64 (.f64 16 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (pow.f64 C 2))) (sqrt.f64 (/.f64 F (pow.f64 B 9))))) (+.f64 (.f64 1/2 (.f64 (/.f64 (.f64 (sqrt.f64 2) (-.f64 (.f64 -1/2 (/.f64 F B)) (pow.f64 (.f64 1/2 (.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 F B)))) 2))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (.f64 F (pow.f64 B 3)))))) (.f64 2 (.f64 (/.f64 (.f64 (sqrt.f64 2) C) (sqrt.f64 -1)) (sqrt.f64 (/.f64 F (pow.f64 B 7))))))))) (.f64 -1 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (/.f64 F B)))))))
(.f64 1/4 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1/2) (pow.f64 B 2))) C) (sqrt.f64 (/.f64 F (pow.f64 A 3)))))
(+.f64 (.f64 1/4 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1/2) (pow.f64 B 2))) C) (sqrt.f64 (/.f64 F (pow.f64 A 3))))) (.f64 -1 (.f64 (+.f64 (.f64 -1/64 (.f64 (/.f64 (sqrt.f64 2) (.f64 C (sqrt.f64 -1/2))) (sqrt.f64 (/.f64 F (pow.f64 A 7))))) (.f64 -1/16 (.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1/2)) (pow.f64 C 2)) (sqrt.f64 (/.f64 F (pow.f64 A 5)))))) (pow.f64 B 4))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/8 (.f64 (/.f64 (.f64 (sqrt.f64 2) (-.f64 (.f64 -1/16 (/.f64 F (pow.f64 A 5))) (pow.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 F (pow.f64 A 5))) (/.f64 1 (sqrt.f64 -1/2)))) 2))) (.f64 C (sqrt.f64 -1/2))) (sqrt.f64 (/.f64 1 (.f64 A F))))) (+.f64 (.f64 -1/256 (.f64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 C 2) (sqrt.f64 -1/2))) (sqrt.f64 (/.f64 F (pow.f64 A 9))))) (.f64 -1/64 (.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1/2)) (pow.f64 C 3)) (sqrt.f64 (/.f64 F (pow.f64 A 7))))))) (pow.f64 B 6))) (+.f64 (.f64 1/4 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1/2) (pow.f64 B 2))) C) (sqrt.f64 (/.f64 F (pow.f64 A 3))))) (.f64 -1 (.f64 (+.f64 (.f64 -1/64 (.f64 (/.f64 (sqrt.f64 2) (.f64 C (sqrt.f64 -1/2))) (sqrt.f64 (/.f64 F (pow.f64 A 7))))) (.f64 -1/16 (.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1/2)) (pow.f64 C 2)) (sqrt.f64 (/.f64 F (pow.f64 A 5)))))) (pow.f64 B 4)))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/8 (.f64 (/.f64 (.f64 (sqrt.f64 2) (-.f64 (.f64 -1/16 (/.f64 F (pow.f64 A 5))) (pow.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 F (pow.f64 A 5))) (/.f64 1 (sqrt.f64 -1/2)))) 2))) (.f64 C (sqrt.f64 -1/2))) (sqrt.f64 (/.f64 1 (.f64 A F))))) (+.f64 (.f64 -1/256 (.f64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 C 2) (sqrt.f64 -1/2))) (sqrt.f64 (/.f64 F (pow.f64 A 9))))) (.f64 -1/64 (.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1/2)) (pow.f64 C 3)) (sqrt.f64 (/.f64 F (pow.f64 A 7))))))) (pow.f64 B 6))) (+.f64 (.f64 1/4 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1/2) (pow.f64 B 2))) C) (sqrt.f64 (/.f64 F (pow.f64 A 3))))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/32 (.f64 (/.f64 (.f64 (sqrt.f64 2) (-.f64 (.f64 -1/16 (/.f64 F (pow.f64 A 5))) (pow.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 F (pow.f64 A 5))) (/.f64 1 (sqrt.f64 -1/2)))) 2))) (.f64 (pow.f64 C 2) (sqrt.f64 -1/2))) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 A 3) F))))) (+.f64 (.f64 -1/1024 (.f64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 C 3) (sqrt.f64 -1/2))) (sqrt.f64 (/.f64 F (pow.f64 A 11))))) (+.f64 (.f64 -1/256 (.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1/2)) (pow.f64 C 4)) (sqrt.f64 (/.f64 F (pow.f64 A 9))))) (.f64 -1/8 (.f64 (/.f64 (.f64 (sqrt.f64 2) (-.f64 (.f64 1/2 (/.f64 (.f64 F (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 A 6))) (pow.f64 (/.f64 -1/8 (pow.f64 A 3)) 2))) A)) (.f64 1/16 (/.f64 (-.f64 (.f64 -1/16 (/.f64 F (pow.f64 A 5))) (pow.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 F (pow.f64 A 5))) (/.f64 1 (sqrt.f64 -1/2)))) 2)) (.f64 (pow.f64 A 2) (pow.f64 (sqrt.f64 -1/2) 2)))))) (.f64 C (sqrt.f64 -1/2))) (sqrt.f64 (/.f64 1 (.f64 A F)))))))) (pow.f64 B 8))) (.f64 -1 (.f64 (+.f64 (.f64 -1/64 (.f64 (/.f64 (sqrt.f64 2) (.f64 C (sqrt.f64 -1/2))) (sqrt.f64 (/.f64 F (pow.f64 A 7))))) (.f64 -1/16 (.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1/2)) (pow.f64 C 2)) (sqrt.f64 (/.f64 F (pow.f64 A 5)))))) (pow.f64 B 4))))))
(.f64 -1 (.f64 (sqrt.f64 (*.f64 (-.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))) F)) (/.f64 (sqrt.f64 2) B)))
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(.f64 (/.f64 (.f64 B (sqrt.f64 (.f64 F (-.f64 A (hypot.f64 B A))))) 1) (/.f64 (sqrt.f64 2) (fma.f64 B B (.f64 (*.f64 A C) -4))))
(.f64 (/.f64 (.f64 B (sqrt.f64 (.f64 F (-.f64 A (hypot.f64 B A))))) (sqrt.f64 (fma.f64 B B (.f64 (.f64 A C) -4)))) (/.f64 (sqrt.f64 2) (sqrt.f64 (fma.f64 B B (.f64 (*.f64 A C) -4)))))
(.f64 (/.f64 (.f64 B (sqrt.f64 (.f64 F (-.f64 A (hypot.f64 B A))))) (pow.f64 (cbrt.f64 (fma.f64 B B (.f64 (.f64 A C) -4))) 2)) (/.f64 (sqrt.f64 2) (cbrt.f64 (fma.f64 B B (.f64 (*.f64 A C) -4)))))
(.f64 (/.f64 (sqrt.f64 (.f64 B (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 F (-.f64 A (hypot.f64 B A))))))) 1) (/.f64 (sqrt.f64 (.f64 B (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 F (-.f64 A (hypot.f64 B A))))))) (fma.f64 B B (.f64 (*.f64 A C) -4))))
(.f64 (/.f64 (sqrt.f64 (.f64 B (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 F (-.f64 A (hypot.f64 B A))))))) (pow.f64 (cbrt.f64 (fma.f64 B B (.f64 (.f64 A C) -4))) 2)) (/.f64 (sqrt.f64 (.f64 B (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 F (-.f64 A (hypot.f64 B A))))))) (cbrt.f64 (fma.f64 B B (.f64 (*.f64 A C) -4)))))
(.f64 (/.f64 (cbrt.f64 (.f64 (.f64 F (-.f64 A (hypot.f64 B A))) (.f64 (.f64 B B) 2))) 1) (/.f64 (cbrt.f64 (.f64 B (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 F (-.f64 A (hypot.f64 B A))))))) (fma.f64 B B (.f64 (.f64 A C) -4))))
(.f64 (/.f64 (cbrt.f64 (.f64 (.f64 F (-.f64 A (hypot.f64 B A))) (.f64 (.f64 B B) 2))) (sqrt.f64 (fma.f64 B B (.f64 (.f64 A C) -4)))) (/.f64 (cbrt.f64 (.f64 B (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 F (-.f64 A (hypot.f64 B A))))))) (sqrt.f64 (fma.f64 B B (.f64 (.f64 A C) -4)))))
(.f64 (/.f64 (cbrt.f64 (.f64 (.f64 F (-.f64 A (hypot.f64 B A))) (.f64 (.f64 B B) 2))) (pow.f64 (cbrt.f64 (fma.f64 B B (.f64 (.f64 A C) -4))) 2)) (cbrt.f64 (/.f64 (sqrt.f64 (.f64 F (-.f64 A (hypot.f64 B A)))) (/.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) (*.f64 B (sqrt.f64 2))))))
(.f64 (/.f64 (neg.f64 (sqrt.f64 (.f64 F (-.f64 A (hypot.f64 B A))))) 1) (/.f64 (.f64 B (sqrt.f64 2)) (fma.f64 B B (.f64 (*.f64 A C) -4))))
(.f64 (/.f64 (neg.f64 (sqrt.f64 (.f64 F (-.f64 A (hypot.f64 B A))))) (sqrt.f64 (fma.f64 B B (.f64 (.f64 A C) -4)))) (/.f64 (.f64 B (sqrt.f64 2)) (sqrt.f64 (fma.f64 B B (.f64 (*.f64 A C) -4)))))
(.f64 (/.f64 (neg.f64 (sqrt.f64 (.f64 F (-.f64 A (hypot.f64 B A))))) (pow.f64 (cbrt.f64 (fma.f64 B B (.f64 (.f64 A C) -4))) 2)) (/.f64 (.f64 B (sqrt.f64 2)) (cbrt.f64 (fma.f64 B B (.f64 (*.f64 A C) -4)))))
(.f64 (/.f64 -1 (sqrt.f64 (fma.f64 B B (.f64 (.f64 A C) -4)))) (/.f64 (.f64 B (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 F (-.f64 A (hypot.f64 B A)))))) (sqrt.f64 (fma.f64 B B (.f64 (.f64 A C) -4)))))
(.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (fma.f64 B B (.f64 (.f64 A C) -4))) 2)) (/.f64 (.f64 B (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 F (-.f64 A (hypot.f64 B A)))))) (cbrt.f64 (fma.f64 B B (.f64 (.f64 A C) -4)))))
(pow.f64 (/.f64 (sqrt.f64 (.f64 F (-.f64 A (hypot.f64 B A)))) (/.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) (.f64 B (sqrt.f64 2)))) 1)
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (.f64 F (-.f64 A (hypot.f64 B A)))) (/.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) (.f64 B (sqrt.f64 2))))) 2)
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 F (-.f64 A (hypot.f64 B A)))) (/.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) (.f64 B (sqrt.f64 2))))) 3)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 F (-.f64 A (hypot.f64 B A)))) (/.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) (.f64 B (sqrt.f64 2)))) 3) 1/3)
(pow.f64 (/.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) (.f64 B (.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 F (-.f64 A (hypot.f64 B A))))))) -1)
(neg.f64 (/.f64 (sqrt.f64 (.f64 F (-.f64 A (hypot.f64 B A)))) (/.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) (.f64 B (sqrt.f64 2)))))
(sqrt.f64 (/.f64 (.f64 (.f64 F (-.f64 A (hypot.f64 B A))) (.f64 (.f64 B B) 2)) (pow.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) 2)))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 (.f64 F (-.f64 A (hypot.f64 B A)))) (/.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) (.f64 B (sqrt.f64 2))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (.f64 F (-.f64 A (hypot.f64 B A)))) (/.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) (.f64 B (sqrt.f64 2)))))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 F (-.f64 A (hypot.f64 B A)))) (/.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) (.f64 B (sqrt.f64 2)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (.f64 B (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 F (-.f64 A (hypot.f64 B A)))))) 3) (pow.f64 (fma.f64 B B (.f64 (*.f64 A C) -4)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (.f64 F (-.f64 A (hypot.f64 B A)))) (/.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) (.f64 B (sqrt.f64 2))))))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (.f64 F (-.f64 A (hypot.f64 B A)))) (/.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) (.f64 B (sqrt.f64 2))))))
(exp.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 (.f64 F (-.f64 A (hypot.f64 B A)))) (/.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) (*.f64 B (sqrt.f64 2))))) 1))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (.f64 F (-.f64 A (hypot.f64 B A)))) (/.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) (.f64 B (sqrt.f64 2))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 F (-.f64 A (hypot.f64 B A)))))) 1)
(.f64 (sqrt.f64 (.f64 F (-.f64 A (hypot.f64 B A)))) 1)
(.f64 1 (sqrt.f64 (.f64 F (-.f64 A (hypot.f64 B A)))))
(*.f64 (sqrt.f64 (-.f64 A (hypot.f64 B A))) (sqrt.f64 F))
(.f64 (pow.f64 (.f64 F (-.f64 A (hypot.f64 B A))) 1/4) (pow.f64 (*.f64 F (-.f64 A (hypot.f64 B A))) 1/4))
(*.f64 (sqrt.f64 F) (sqrt.f64 (-.f64 A (hypot.f64 B A))))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 F (-.f64 A (hypot.f64 B A))))) (cbrt.f64 (*.f64 F (-.f64 A (hypot.f64 B A)))))
(.f64 (cbrt.f64 (.f64 F (-.f64 A (hypot.f64 B A)))) (cbrt.f64 (sqrt.f64 (*.f64 F (-.f64 A (hypot.f64 B A))))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 F (-.f64 A (hypot.f64 B A)))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 F (-.f64 A (hypot.f64 B A))))))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 F (-.f64 A (hypot.f64 B A)))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 F (-.f64 A (hypot.f64 B A)))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 F (-.f64 A (hypot.f64 B A)))) 1/2))
(pow.f64 (*.f64 F (-.f64 A (hypot.f64 B A))) 1/2)
(pow.f64 (sqrt.f64 (*.f64 F (-.f64 A (hypot.f64 B A)))) 1)
(pow.f64 (pow.f64 (*.f64 F (-.f64 A (hypot.f64 B A))) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 F (-.f64 A (hypot.f64 B A))))) 3)
(pow.f64 (pow.f64 (*.f64 F (-.f64 A (hypot.f64 B A))) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (*.f64 F (-.f64 A (hypot.f64 B A)))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 F (-.f64 A (hypot.f64 B A))))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 F (-.f64 A (hypot.f64 B A)))))))
(cbrt.f64 (pow.f64 (*.f64 F (-.f64 A (hypot.f64 B A))) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 F (-.f64 A (hypot.f64 B A))))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 F (-.f64 A (hypot.f64 B A))))))
(exp.f64 (.f64 (log.f64 (.f64 F (-.f64 A (hypot.f64 B A)))) 1/2))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 F (-.f64 A (hypot.f64 B A))))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 F (-.f64 A (hypot.f64 B A))))))
(+.f64 (.f64 B B) (.f64 (*.f64 A C) -4))
(+.f64 (.f64 B B) (+.f64 (.f64 (.f64 A C) -4) (+.f64 (.f64 A (.f64 C 4)) (.f64 (*.f64 A C) -4))))
(+.f64 (.f64 B B) (.f64 (.f64 (.f64 A C) -4) 1))
(+.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) (+.f64 (.f64 A (.f64 C 4)) (.f64 (.f64 A C) -4)))
(+.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) (+.f64 (+.f64 (.f64 A (.f64 C 4)) (.f64 (.f64 A C) -4)) (+.f64 (.f64 A (.f64 C 4)) (.f64 (.f64 A C) -4))))
(+.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) (.f64 (+.f64 (.f64 A (.f64 C 4)) (.f64 (*.f64 A C) -4)) 1))
(+.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) (fma.f64 -4 (.f64 A C) (.f64 A (*.f64 C 4))))
(+.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) (fma.f64 (.f64 (.f64 A C) -4) 1 (.f64 A (.f64 C 4))))
(+.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 A (.f64 C 4)))) (sqrt.f64 (.f64 A (.f64 C 4))) (.f64 A (.f64 C 4))))
(+.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 A (.f64 C 4)))) (cbrt.f64 (.f64 (pow.f64 (.f64 A C) 2) 16)) (.f64 A (.f64 C 4))))
(+.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) (fma.f64 (neg.f64 C) (.f64 A 4) (.f64 A (*.f64 C 4))))
(+.f64 (.f64 (.f64 A C) -4) (*.f64 B B))
(+.f64 (+.f64 (.f64 A (.f64 C 4)) (.f64 (.f64 A C) -4)) (fma.f64 B B (.f64 (.f64 A C) -4)))
(+.f64 (+.f64 (.f64 (.f64 A C) -4) (+.f64 (.f64 A (.f64 C 4)) (.f64 (.f64 A C) -4))) (*.f64 B B))
(+.f64 (+.f64 (+.f64 (.f64 A (.f64 C 4)) (.f64 (.f64 A C) -4)) (+.f64 (.f64 A (.f64 C 4)) (.f64 (.f64 A C) -4))) (fma.f64 B B (.f64 (.f64 A C) -4)))
(+.f64 (.f64 (.f64 (.f64 A C) -4) 1) (.f64 B B))
(+.f64 (.f64 (+.f64 (.f64 A (.f64 C 4)) (.f64 (.f64 A C) -4)) 1) (fma.f64 B B (.f64 (*.f64 A C) -4)))
(+.f64 (fma.f64 -4 (.f64 A C) (.f64 A (.f64 C 4))) (fma.f64 B B (.f64 (*.f64 A C) -4)))
(+.f64 (fma.f64 (.f64 (.f64 A C) -4) 1 (.f64 A (.f64 C 4))) (fma.f64 B B (.f64 (.f64 A C) -4)))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (.f64 A (.f64 C 4)))) (sqrt.f64 (.f64 A (.f64 C 4))) (.f64 A (.f64 C 4))) (fma.f64 B B (.f64 (.f64 A C) -4)))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 A (.f64 C 4)))) (cbrt.f64 (.f64 (pow.f64 (.f64 A C) 2) 16)) (.f64 A (.f64 C 4))) (fma.f64 B B (.f64 (.f64 A C) -4)))
(+.f64 (fma.f64 (neg.f64 C) (.f64 A 4) (.f64 A (.f64 C 4))) (fma.f64 B B (.f64 (*.f64 A C) -4)))
(+.f64 (+.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) (.f64 (.f64 A C) -4)) (.f64 A (.f64 C 4)))
(+.f64 (+.f64 (+.f64 (.f64 A (.f64 C 4)) (.f64 (.f64 A C) -4)) (.f64 B B)) (.f64 (*.f64 A C) -4))
(+.f64 (+.f64 (+.f64 (.f64 A (.f64 C 4)) (.f64 (.f64 A C) -4)) (.f64 B B)) (+.f64 (.f64 (.f64 A C) -4) (+.f64 (.f64 A (.f64 C 4)) (.f64 (*.f64 A C) -4))))
(+.f64 (+.f64 (+.f64 (.f64 A (.f64 C 4)) (.f64 (.f64 A C) -4)) (.f64 B B)) (.f64 (.f64 (.f64 A C) -4) 1))
(.f64 (fma.f64 B B (.f64 (*.f64 A C) -4)) 1)
(.f64 1 (fma.f64 B B (.f64 (*.f64 A C) -4)))
(.f64 (sqrt.f64 (fma.f64 B B (.f64 (.f64 A C) -4))) (sqrt.f64 (fma.f64 B B (.f64 (*.f64 A C) -4))))
(.f64 (cbrt.f64 (fma.f64 B B (.f64 (.f64 A C) -4))) (pow.f64 (cbrt.f64 (fma.f64 B B (.f64 (*.f64 A C) -4))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 B B (.f64 (.f64 A C) -4))) 2) (cbrt.f64 (fma.f64 B B (.f64 (*.f64 A C) -4))))
(.f64 (-.f64 (pow.f64 B 4) (.f64 (pow.f64 (.f64 A C) 2) 16)) (/.f64 1 (fma.f64 B B (.f64 A (*.f64 C 4)))))
(.f64 (-.f64 (pow.f64 B 6) (.f64 (pow.f64 (.f64 A C) 3) 64)) (/.f64 1 (+.f64 (pow.f64 B 4) (.f64 (.f64 A (.f64 C 4)) (fma.f64 B B (.f64 A (.f64 C 4)))))))
(.f64 (+.f64 B (sqrt.f64 (.f64 A (.f64 C 4)))) (-.f64 B (sqrt.f64 (.f64 A (*.f64 C 4)))))
(/.f64 1 (/.f64 (fma.f64 B B (.f64 A (.f64 C 4))) (-.f64 (pow.f64 B 4) (.f64 (pow.f64 (.f64 A C) 2) 16))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 B 4) (.f64 (.f64 A (.f64 C 4)) (fma.f64 B B (.f64 A (.f64 C 4))))) (-.f64 (pow.f64 B 6) (.f64 (pow.f64 (*.f64 A C) 3) 64))))
(/.f64 (-.f64 (pow.f64 B 4) (.f64 (pow.f64 (.f64 A C) 2) 16)) (fma.f64 B B (.f64 A (.f64 C 4))))
(/.f64 (-.f64 (pow.f64 B 6) (.f64 (pow.f64 (.f64 A C) 3) 64)) (+.f64 (pow.f64 B 4) (.f64 (.f64 A (.f64 C 4)) (fma.f64 B B (.f64 A (*.f64 C 4))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 B 4) (.f64 (pow.f64 (.f64 A C) 2) 16))) (neg.f64 (fma.f64 B B (.f64 A (.f64 C 4)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 B 6) (.f64 (pow.f64 (.f64 A C) 3) 64))) (neg.f64 (+.f64 (pow.f64 B 4) (.f64 (.f64 A (.f64 C 4)) (fma.f64 B B (.f64 A (*.f64 C 4)))))))
(/.f64 (-.f64 (pow.f64 B 4) (.f64 (.f64 (.f64 A C) -4) (.f64 (.f64 A C) -4))) (-.f64 (.f64 B B) (.f64 (.f64 A C) -4)))
(/.f64 (-.f64 (pow.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) 2) (.f64 (+.f64 (.f64 A (.f64 C 4)) (.f64 (.f64 A C) -4)) (+.f64 (.f64 A (.f64 C 4)) (.f64 (.f64 A C) -4)))) (-.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) (+.f64 (.f64 A (.f64 C 4)) (.f64 (*.f64 A C) -4))))
(/.f64 (+.f64 (pow.f64 B 6) (pow.f64 (.f64 (.f64 A C) -4) 3)) (+.f64 (pow.f64 B 4) (-.f64 (.f64 (.f64 (.f64 A C) -4) (.f64 (.f64 A C) -4)) (.f64 (.f64 B B) (.f64 (*.f64 A C) -4)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) 3) (pow.f64 (+.f64 (.f64 A (.f64 C 4)) (.f64 (.f64 A C) -4)) 3)) (+.f64 (pow.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) 2) (-.f64 (.f64 (+.f64 (.f64 A (.f64 C 4)) (.f64 (.f64 A C) -4)) (+.f64 (.f64 A (.f64 C 4)) (.f64 (.f64 A C) -4))) (.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) (+.f64 (.f64 A (.f64 C 4)) (.f64 (.f64 A C) -4))))))
(pow.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) 1)
(pow.f64 (sqrt.f64 (fma.f64 B B (.f64 (.f64 A C) -4))) 2)
(pow.f64 (cbrt.f64 (fma.f64 B B (.f64 (.f64 A C) -4))) 3)
(pow.f64 (pow.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) 2))
(log.f64 (exp.f64 (fma.f64 B B (.f64 (.f64 A C) -4))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 B B (.f64 (.f64 A C) -4)))))
(cbrt.f64 (pow.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) 3))
(expm1.f64 (log1p.f64 (fma.f64 B B (.f64 (.f64 A C) -4))))
(exp.f64 (log.f64 (fma.f64 B B (.f64 (.f64 A C) -4))))
(exp.f64 (.f64 (log.f64 (fma.f64 B B (.f64 (*.f64 A C) -4))) 1))
(log1p.f64 (expm1.f64 (fma.f64 B B (.f64 (.f64 A C) -4))))
(fma.f64 B B (.f64 (.f64 A C) -4))
(fma.f64 1 (.f64 B B) (.f64 (*.f64 A C) -4))
(fma.f64 1 (fma.f64 B B (.f64 (.f64 A C) -4)) (+.f64 (.f64 A (.f64 C 4)) (.f64 (.f64 A C) -4)))
(fma.f64 (sqrt.f64 (fma.f64 B B (.f64 (.f64 A C) -4))) (sqrt.f64 (fma.f64 B B (.f64 (.f64 A C) -4))) (+.f64 (.f64 A (.f64 C 4)) (.f64 (.f64 A C) -4)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 B B (.f64 (.f64 A C) -4))) 2) (cbrt.f64 (fma.f64 B B (.f64 (.f64 A C) -4))) (+.f64 (.f64 A (.f64 C 4)) (.f64 (.f64 A C) -4)))
(fma.f64 (cbrt.f64 (pow.f64 B 4)) (pow.f64 (cbrt.f64 B) 2) (.f64 (.f64 A C) -4))

Outputs
A
(+.f64 A (*.f64 1/2 (/.f64 (pow.f64 B 2) A)))
(+.f64 A (.f64 1/2 (/.f64 (.f64 B B) A)))
(+.f64 A (*.f64 1/2 (/.f64 B (/.f64 A B))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 B 4) (pow.f64 A 3))) (+.f64 A (.f64 1/2 (/.f64 (pow.f64 B 2) A))))
(fma.f64 -1/8 (/.f64 (pow.f64 B 4) (pow.f64 A 3)) (+.f64 A (.f64 1/2 (/.f64 (.f64 B B) A))))
(fma.f64 -1/8 (/.f64 (pow.f64 B 4) (pow.f64 A 3)) (+.f64 A (*.f64 1/2 (/.f64 B (/.f64 A B)))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 B 4) (pow.f64 A 3))) (+.f64 A (+.f64 (.f64 1/16 (/.f64 (pow.f64 B 6) (pow.f64 A 5))) (*.f64 1/2 (/.f64 (pow.f64 B 2) A)))))
(fma.f64 -1/8 (/.f64 (pow.f64 B 4) (pow.f64 A 3)) (+.f64 A (fma.f64 1/16 (/.f64 (pow.f64 B 6) (pow.f64 A 5)) (.f64 1/2 (/.f64 (.f64 B B) A)))))
(fma.f64 -1/8 (/.f64 (pow.f64 B 4) (pow.f64 A 3)) (+.f64 A (fma.f64 1/16 (/.f64 (pow.f64 B 6) (pow.f64 A 5)) (*.f64 1/2 (/.f64 B (/.f64 A B))))))
B
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 A 2) B)) B)
(fma.f64 1/2 (/.f64 (*.f64 A A) B) B)
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(fma.f64 1/2 (/.f64 (*.f64 A A) B) (fma.f64 -1/8 (/.f64 (pow.f64 A 4) (pow.f64 B 3)) B))
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(*.f64 -1 B)
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(fma.f64 -1/2 (/.f64 (.f64 A A) B) (fma.f64 -1 B (.f64 (/.f64 (pow.f64 A 4) (pow.f64 B 3)) 1/8)))
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B
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(fma.f64 1/2 (/.f64 (*.f64 A A) B) B)
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A
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(*.f64 -1 A)
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(/.f64 (-.f64 (pow.f64 (fma.f64 B B (.f64 A (.f64 C -4))) 2) (.f64 (fma.f64 A (.f64 4 C) (.f64 A (.f64 C -4))) (fma.f64 A (.f64 4 C) (.f64 A (.f64 C -4))))) (-.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (fma.f64 A (.f64 4 C) (.f64 A (.f64 C -4)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 B B (.f64 A (.f64 C -4))) 2) (.f64 (.f64 (.f64 A C) 0) (.f64 (.f64 A C) 0))) (-.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (*.f64 A C) 0)))
(/.f64 (+.f64 (pow.f64 B 6) (pow.f64 (.f64 (.f64 A C) -4) 3)) (+.f64 (pow.f64 B 4) (-.f64 (.f64 (.f64 (.f64 A C) -4) (.f64 (.f64 A C) -4)) (.f64 (.f64 B B) (.f64 (*.f64 A C) -4)))))
(/.f64 (+.f64 (pow.f64 B 6) (.f64 (pow.f64 (.f64 A C) 3) -64)) (+.f64 (pow.f64 B 4) (.f64 (.f64 A (.f64 C -4)) (-.f64 (.f64 A (.f64 C -4)) (.f64 B B)))))
(/.f64 (+.f64 (pow.f64 B 6) (pow.f64 (.f64 A (.f64 C -4)) 3)) (+.f64 (pow.f64 B 4) (.f64 A (.f64 (.f64 C -4) (-.f64 (.f64 A (.f64 C -4)) (.f64 B B))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) 3) (pow.f64 (+.f64 (.f64 A (.f64 C 4)) (.f64 (.f64 A C) -4)) 3)) (+.f64 (pow.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) 2) (-.f64 (.f64 (+.f64 (.f64 A (.f64 C 4)) (.f64 (.f64 A C) -4)) (+.f64 (.f64 A (.f64 C 4)) (.f64 (.f64 A C) -4))) (.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) (+.f64 (.f64 A (.f64 C 4)) (.f64 (.f64 A C) -4))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 B B (.f64 A (.f64 C -4))) 3) (pow.f64 (fma.f64 A (.f64 4 C) (.f64 A (.f64 C -4))) 3)) (+.f64 (pow.f64 (fma.f64 B B (.f64 A (.f64 C -4))) 2) (.f64 (fma.f64 A (.f64 4 C) (.f64 A (.f64 C -4))) (-.f64 (fma.f64 A (.f64 4 C) (.f64 A (.f64 C -4))) (fma.f64 B B (.f64 A (.f64 C -4)))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 B B (.f64 A (.f64 C -4))) 3) (pow.f64 (.f64 (.f64 A C) 0) 3)) (+.f64 (pow.f64 (fma.f64 B B (.f64 A (.f64 C -4))) 2) (.f64 (.f64 (.f64 A C) 0) (-.f64 (.f64 (.f64 A C) 0) (fma.f64 B B (.f64 A (*.f64 C -4)))))))
(pow.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) 1)
(fma.f64 B B (.f64 A (.f64 C -4)))
(pow.f64 (sqrt.f64 (fma.f64 B B (.f64 (.f64 A C) -4))) 2)
(fma.f64 B B (.f64 A (.f64 C -4)))
(pow.f64 (cbrt.f64 (fma.f64 B B (.f64 (.f64 A C) -4))) 3)
(fma.f64 B B (.f64 A (.f64 C -4)))
(pow.f64 (pow.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) 3) 1/3)
(fma.f64 B B (.f64 A (.f64 C -4)))
(sqrt.f64 (pow.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) 2))
(sqrt.f64 (pow.f64 (fma.f64 B B (.f64 A (.f64 C -4))) 2))
(log.f64 (exp.f64 (fma.f64 B B (.f64 (.f64 A C) -4))))
(fma.f64 B B (.f64 A (.f64 C -4)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 B B (.f64 (.f64 A C) -4)))))
(fma.f64 B B (.f64 A (.f64 C -4)))
(cbrt.f64 (pow.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) 3))
(fma.f64 B B (.f64 A (.f64 C -4)))
(expm1.f64 (log1p.f64 (fma.f64 B B (.f64 (.f64 A C) -4))))
(fma.f64 B B (.f64 A (.f64 C -4)))
(exp.f64 (log.f64 (fma.f64 B B (.f64 (.f64 A C) -4))))
(fma.f64 B B (.f64 A (.f64 C -4)))
(exp.f64 (.f64 (log.f64 (fma.f64 B B (.f64 (*.f64 A C) -4))) 1))
(fma.f64 B B (.f64 A (.f64 C -4)))
(log1p.f64 (expm1.f64 (fma.f64 B B (.f64 (.f64 A C) -4))))
(fma.f64 B B (.f64 A (.f64 C -4)))
(fma.f64 B B (.f64 (.f64 A C) -4))
(fma.f64 B B (.f64 A (.f64 C -4)))
(fma.f64 1 (.f64 B B) (.f64 (*.f64 A C) -4))
(fma.f64 B B (.f64 A (.f64 C -4)))
(fma.f64 1 (fma.f64 B B (.f64 (.f64 A C) -4)) (+.f64 (.f64 A (.f64 C 4)) (.f64 (.f64 A C) -4)))
(fma.f64 B B (fma.f64 (.f64 A C) -4 (fma.f64 A (.f64 4 C) (.f64 A (.f64 C -4)))))
(fma.f64 B B (fma.f64 (.f64 A C) -4 (.f64 (*.f64 A C) 0)))
(fma.f64 (sqrt.f64 (fma.f64 B B (.f64 (.f64 A C) -4))) (sqrt.f64 (fma.f64 B B (.f64 (.f64 A C) -4))) (+.f64 (.f64 A (.f64 C 4)) (.f64 (.f64 A C) -4)))
(fma.f64 B B (fma.f64 (.f64 A C) -4 (fma.f64 A (.f64 4 C) (.f64 A (.f64 C -4)))))
(fma.f64 B B (fma.f64 (.f64 A C) -4 (.f64 (*.f64 A C) 0)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 B B (.f64 (.f64 A C) -4))) 2) (cbrt.f64 (fma.f64 B B (.f64 (.f64 A C) -4))) (+.f64 (.f64 A (.f64 C 4)) (.f64 (.f64 A C) -4)))
(fma.f64 B B (fma.f64 (.f64 A C) -4 (fma.f64 A (.f64 4 C) (.f64 A (.f64 C -4)))))
(fma.f64 B B (fma.f64 (.f64 A C) -4 (.f64 (*.f64 A C) 0)))
(fma.f64 (cbrt.f64 (pow.f64 B 4)) (pow.f64 (cbrt.f64 B) 2) (.f64 (.f64 A C) -4))
(fma.f64 (cbrt.f64 (pow.f64 B 4)) (pow.f64 (cbrt.f64 B) 2) (.f64 A (.f64 C -4)))

localize51.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.5b	(-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))
✓	4.2b	(.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (*.f64 2 F)))
✓	10.3b	(sqrt.f64 (/.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 F))) (pow.f64 (fma.f64 B B (.f64 A (*.f64 C -4))) 2)))
✓	33.4b	(/.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 F))) (pow.f64 (fma.f64 B B (.f64 A (*.f64 C -4))) 2))

Compiler

Compiled 161 to 69 computations (57.1% saved)

series32.0ms (0.1%)

Counts

4 → 152

Calls

45 calls:

Time	Variable		Point	Expression
3.0ms	C	@	inf	(sqrt.f64 (/.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 F))) (pow.f64 (fma.f64 B B (.f64 A (*.f64 C -4))) 2)))
2.0ms	C	@	0	(sqrt.f64 (/.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 F))) (pow.f64 (fma.f64 B B (.f64 A (*.f64 C -4))) 2)))
2.0ms	F	@	0	(/.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 F))) (pow.f64 (fma.f64 B B (.f64 A (*.f64 C -4))) 2))
2.0ms	A	@	0	(sqrt.f64 (/.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 F))) (pow.f64 (fma.f64 B B (.f64 A (*.f64 C -4))) 2)))
2.0ms	B	@	0	(sqrt.f64 (/.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 F))) (pow.f64 (fma.f64 B B (.f64 A (*.f64 C -4))) 2)))

rewrite133.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

514×	`add-sqr-sqrt`
502×	`*-un-lft-identity`
498×	`pow1`
488×	`associate-+l+`
472×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	282
1	501	276
2	6899	276

Stop Event

1×	node limit

Counts

4 → 192

Calls

Call 1

Inputs
(/.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 F))) (pow.f64 (fma.f64 B B (.f64 A (*.f64 C -4))) 2))
(sqrt.f64 (/.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 F))) (pow.f64 (fma.f64 B B (.f64 A (*.f64 C -4))) 2)))
(.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (*.f64 2 F)))
(-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))

Outputs
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(hypot.f64 B (-.f64 A C)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 A (-.f64 C (hypot.f64 B (-.f64 A C))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 A C) (neg.f64 (hypot.f64 B (-.f64 A C))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 A C)) (sqrt.f64 (+.f64 A C)) (neg.f64 (hypot.f64 B (-.f64 A C))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 A) (sqrt.f64 A) (-.f64 C (hypot.f64 B (-.f64 A C))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 A C)) 2) (cbrt.f64 (+.f64 A C)) (neg.f64 (hypot.f64 B (-.f64 A C))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 A) 2) (cbrt.f64 A) (-.f64 C (hypot.f64 B (-.f64 A C))))))))

simplify282.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1288×	`+-commutative`
1256×	`associate-/r*`
1024×	`*-commutative`
936×	`associate-*r/`
926×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1334	44976
1	4361	44450

Stop Event

1×	node limit

Counts

344 → 566

Calls

Call 1

Inputs
(*.f64 -1 (/.f64 F A))
(+.f64 (.f64 2 (.f64 (-.f64 (.f64 1/8 (/.f64 F (.f64 A (.f64 (-.f64 A C) C)))) (.f64 1/8 (/.f64 F (.f64 (pow.f64 A 2) C)))) (pow.f64 B 2))) (.f64 -1 (/.f64 F A)))
(+.f64 (.f64 2 (.f64 (-.f64 (.f64 1/8 (/.f64 F (.f64 A (.f64 (-.f64 A C) C)))) (.f64 1/8 (/.f64 F (.f64 (pow.f64 A 2) C)))) (pow.f64 B 2))) (+.f64 (.f64 2 (.f64 (-.f64 (.f64 -1/32 (/.f64 F (.f64 A (.f64 (pow.f64 (-.f64 A C) 3) C)))) (.f64 -1/4 (/.f64 (-.f64 (.f64 1/8 (/.f64 F (.f64 (-.f64 A C) (.f64 A C)))) (.f64 1/8 (/.f64 F (.f64 (pow.f64 A 2) C)))) (.f64 A C)))) (pow.f64 B 4))) (.f64 -1 (/.f64 F A))))
(+.f64 (.f64 2 (.f64 (-.f64 (.f64 1/8 (/.f64 F (.f64 A (.f64 (-.f64 A C) C)))) (.f64 1/8 (/.f64 F (.f64 (pow.f64 A 2) C)))) (pow.f64 B 2))) (+.f64 (.f64 2 (.f64 (-.f64 (.f64 -1/32 (/.f64 F (.f64 A (.f64 (pow.f64 (-.f64 A C) 3) C)))) (.f64 -1/4 (/.f64 (-.f64 (.f64 1/8 (/.f64 F (.f64 (-.f64 A C) (.f64 A C)))) (.f64 1/8 (/.f64 F (.f64 (pow.f64 A 2) C)))) (.f64 A C)))) (pow.f64 B 4))) (+.f64 (.f64 2 (.f64 (-.f64 (.f64 1/64 (/.f64 F (.f64 A (.f64 (pow.f64 (-.f64 A C) 5) C)))) (.f64 -1/4 (/.f64 (-.f64 (.f64 -1/32 (/.f64 F (.f64 (pow.f64 (-.f64 A C) 3) (.f64 A C)))) (.f64 -1/4 (/.f64 (-.f64 (.f64 1/8 (/.f64 F (.f64 A (.f64 (-.f64 A C) C)))) (.f64 1/8 (/.f64 F (.f64 (pow.f64 A 2) C)))) (.f64 A C)))) (.f64 A C)))) (pow.f64 B 6))) (*.f64 -1 (/.f64 F A)))))
(*.f64 -2 (/.f64 F B))
(+.f64 (.f64 2 (/.f64 (.f64 F (+.f64 A C)) (pow.f64 B 2))) (*.f64 -2 (/.f64 F B)))
(+.f64 (.f64 2 (/.f64 (.f64 F (+.f64 A C)) (pow.f64 B 2))) (+.f64 (.f64 -2 (/.f64 F B)) (.f64 2 (/.f64 (-.f64 (.f64 -1/2 (.f64 (pow.f64 (-.f64 A C) 2) F)) (.f64 4 (.f64 A (*.f64 C F)))) (pow.f64 B 3)))))
(+.f64 (.f64 8 (/.f64 (.f64 A (.f64 C (.f64 F (+.f64 A C)))) (pow.f64 B 4))) (+.f64 (.f64 2 (/.f64 (.f64 F (+.f64 A C)) (pow.f64 B 2))) (+.f64 (.f64 -2 (/.f64 F B)) (.f64 2 (/.f64 (-.f64 (.f64 -1/2 (.f64 (pow.f64 (-.f64 A C) 2) F)) (.f64 4 (.f64 A (*.f64 C F)))) (pow.f64 B 3))))))
(*.f64 2 (/.f64 F B))
(+.f64 (.f64 2 (/.f64 (.f64 F (+.f64 A C)) (pow.f64 B 2))) (*.f64 2 (/.f64 F B)))
(+.f64 (.f64 2 (/.f64 (.f64 F (+.f64 A C)) (pow.f64 B 2))) (+.f64 (.f64 2 (/.f64 F B)) (.f64 -2 (/.f64 (-.f64 (.f64 -1/2 (.f64 (pow.f64 (-.f64 A C) 2) F)) (.f64 4 (.f64 A (*.f64 C F)))) (pow.f64 B 3)))))
(+.f64 (.f64 8 (/.f64 (.f64 A (.f64 C (.f64 F (+.f64 A C)))) (pow.f64 B 4))) (+.f64 (.f64 2 (/.f64 (.f64 F (+.f64 A C)) (pow.f64 B 2))) (+.f64 (.f64 2 (/.f64 F B)) (.f64 -2 (/.f64 (-.f64 (.f64 -1/2 (.f64 (pow.f64 (-.f64 A C) 2) F)) (.f64 4 (.f64 A (*.f64 C F)))) (pow.f64 B 3))))))
(.f64 2 (/.f64 (.f64 (-.f64 C (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))) F) (pow.f64 B 2)))
(+.f64 (.f64 2 (/.f64 (.f64 (-.f64 C (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))) F) (pow.f64 B 2))) (.f64 2 (.f64 A (-.f64 (/.f64 (.f64 F (-.f64 1 (.f64 -1 (.f64 C (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))))))) (pow.f64 B 2)) (.f64 -4 (/.f64 (.f64 (-.f64 C (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))) (.f64 C F)) (pow.f64 B 4)))))))
(+.f64 (.f64 2 (/.f64 (.f64 (-.f64 C (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))) F) (pow.f64 B 2))) (+.f64 (.f64 2 (.f64 A (-.f64 (/.f64 (.f64 F (-.f64 1 (.f64 -1 (.f64 C (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))))))) (pow.f64 B 2)) (.f64 -4 (/.f64 (.f64 (-.f64 C (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))) (.f64 C F)) (pow.f64 B 4)))))) (.f64 2 (.f64 (pow.f64 A 2) (-.f64 (.f64 -1/2 (.f64 (/.f64 (.f64 F (-.f64 1 (pow.f64 (.f64 -1 (.f64 C (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))))) 2))) (pow.f64 B 2)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))))) (.f64 -4 (/.f64 (.f64 C (-.f64 (/.f64 (.f64 F (-.f64 1 (.f64 -1 (.f64 C (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))))))) (pow.f64 B 2)) (.f64 -4 (/.f64 (.f64 (-.f64 C (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))) (*.f64 C F)) (pow.f64 B 4))))) (pow.f64 B 2))))))))
(+.f64 (.f64 2 (.f64 (pow.f64 A 3) (-.f64 (.f64 -1/2 (.f64 (/.f64 (.f64 C (.f64 F (-.f64 1 (pow.f64 (.f64 -1 (.f64 C (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))))) 2)))) (pow.f64 B 2)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)) 3))))) (.f64 -4 (/.f64 (.f64 C (-.f64 (.f64 -1/2 (.f64 (/.f64 (.f64 F (-.f64 1 (pow.f64 (.f64 -1 (.f64 C (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))))) 2))) (pow.f64 B 2)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))))) (.f64 -4 (/.f64 (.f64 (-.f64 (/.f64 (.f64 F (-.f64 1 (.f64 -1 (.f64 C (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))))))) (pow.f64 B 2)) (.f64 -4 (/.f64 (.f64 (-.f64 C (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))) (.f64 C F)) (pow.f64 B 4)))) C) (pow.f64 B 2))))) (pow.f64 B 2)))))) (+.f64 (.f64 2 (/.f64 (.f64 (-.f64 C (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))) F) (pow.f64 B 2))) (+.f64 (.f64 2 (.f64 A (-.f64 (/.f64 (.f64 F (-.f64 1 (.f64 -1 (.f64 C (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))))))) (pow.f64 B 2)) (.f64 -4 (/.f64 (.f64 (-.f64 C (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))) (.f64 C F)) (pow.f64 B 4)))))) (.f64 2 (.f64 (pow.f64 A 2) (-.f64 (.f64 -1/2 (.f64 (/.f64 (.f64 F (-.f64 1 (pow.f64 (.f64 -1 (.f64 C (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))))) 2))) (pow.f64 B 2)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))))) (.f64 -4 (/.f64 (.f64 C (-.f64 (/.f64 (.f64 F (-.f64 1 (.f64 -1 (.f64 C (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))))))) (pow.f64 B 2)) (.f64 -4 (/.f64 (.f64 (-.f64 C (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))) (.f64 C F)) (pow.f64 B 4))))) (pow.f64 B 2)))))))))
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(*.f64 2 A)
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(-.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))
(-.f64 (+.f64 A (.f64 C (-.f64 1 (.f64 -1 (*.f64 A (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))))))) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))
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(-.f64 A (*.f64 -1 A))
(-.f64 (+.f64 A (.f64 -1/2 (/.f64 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)) (pow.f64 (.f64 -1 A) 2)) C))) (*.f64 -1 A))
(-.f64 (+.f64 A (+.f64 (.f64 -1/2 (/.f64 (.f64 A (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)) (pow.f64 (.f64 -1 A) 2))) (pow.f64 C 2))) (.f64 -1/2 (/.f64 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)) (pow.f64 (.f64 -1 A) 2)) C)))) (.f64 -1 A))
(-.f64 (+.f64 A (+.f64 (.f64 -1/2 (/.f64 (.f64 A (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)) (pow.f64 (.f64 -1 A) 2))) (pow.f64 C 2))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (pow.f64 (.f64 1/2 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)) (pow.f64 (.f64 -1 A) 2))) 2) (.f64 -1 (.f64 (pow.f64 A 2) (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)) (pow.f64 (.f64 -1 A) 2))))) (pow.f64 C 3))) (.f64 -1/2 (/.f64 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)) (pow.f64 (.f64 -1 A) 2)) C))))) (.f64 -1 A))
(*.f64 2 C)
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(*.f64 2 C)
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(+.f64 (.f64 -1/2 (/.f64 (pow.f64 B 2) (-.f64 A C))) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 B 6) (pow.f64 (-.f64 A C) 5))) (+.f64 (.f64 2 C) (.f64 1/8 (/.f64 (pow.f64 B 4) (pow.f64 (-.f64 A C) 3))))))
(*.f64 -1 B)
(+.f64 A (+.f64 C (*.f64 -1 B)))
(+.f64 A (+.f64 C (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B)) (.f64 -1 B))))
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B
(+.f64 A (+.f64 C B))
(+.f64 A (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B)) (+.f64 C B)))
(+.f64 A (+.f64 (.f64 1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (-.f64 A C) 4) (pow.f64 B 3))) (+.f64 C B))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 (.f64 2 F) (fma.f64 B B (.f64 C (.f64 -4 A))))) (pow.f64 (fma.f64 B B (.f64 C (.f64 -4 A))) -2)))) 1)
(.f64 (fma.f64 B B (.f64 C (.f64 -4 A))) (.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 2 F)) (pow.f64 (fma.f64 B B (.f64 C (.f64 -4 A))) -2)))
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(.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 2 F)) (.f64 (fma.f64 B B (.f64 C (.f64 -4 A))) (pow.f64 (fma.f64 B B (.f64 C (.f64 -4 A))) -2)))
(.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 (.f64 2 F) (fma.f64 B B (.f64 C (.f64 -4 A))))) (pow.f64 (fma.f64 B B (.f64 C (.f64 -4 A))) -2))
(.f64 (.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 (.f64 2 F) (fma.f64 B B (.f64 C (.f64 -4 A))))) (pow.f64 (fma.f64 B B (.f64 C (*.f64 -4 A))) -2)) 1)
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(+.f64 (+.f64 A C) (+.f64 (neg.f64 (hypot.f64 B (-.f64 A C))) (fma.f64 (neg.f64 (sqrt.f64 (hypot.f64 B (-.f64 A C)))) (sqrt.f64 (hypot.f64 B (-.f64 A C))) (hypot.f64 B (-.f64 A C)))))
(+.f64 (+.f64 A C) (+.f64 (*.f64 (neg.f64 (hypot.f64 B (-.f64 A C))) 1) (fma.f64 (neg.f64 (sqrt.f64 (hypot.f64 B (-.f64 A C)))) (sqrt.f64 (hypot.f64 B (-.f64 A C))) (hypot.f64 B (-.f64 A C)))))
(+.f64 (+.f64 A C) (+.f64 (neg.f64 (hypot.f64 B (-.f64 A C))) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 B (-.f64 A C)))) (pow.f64 (cbrt.f64 (hypot.f64 B (-.f64 A C))) 2) (hypot.f64 B (-.f64 A C)))))
(+.f64 (+.f64 A C) (+.f64 (*.f64 (neg.f64 (hypot.f64 B (-.f64 A C))) 1) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 B (-.f64 A C)))) (pow.f64 (cbrt.f64 (hypot.f64 B (-.f64 A C))) 2) (hypot.f64 B (-.f64 A C)))))
(+.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (fma.f64 (neg.f64 (hypot.f64 B (-.f64 A C))) 1 (hypot.f64 B (-.f64 A C))))
(+.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (fma.f64 (neg.f64 (sqrt.f64 (hypot.f64 B (-.f64 A C)))) (sqrt.f64 (hypot.f64 B (-.f64 A C))) (hypot.f64 B (-.f64 A C))))
(+.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 B (-.f64 A C)))) (pow.f64 (cbrt.f64 (hypot.f64 B (-.f64 A C))) 2) (hypot.f64 B (-.f64 A C))))
(+.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (+.f64 (fma.f64 (neg.f64 (hypot.f64 B (-.f64 A C))) 1 (hypot.f64 B (-.f64 A C))) (fma.f64 (neg.f64 (hypot.f64 B (-.f64 A C))) 1 (hypot.f64 B (-.f64 A C)))))
(+.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (hypot.f64 B (-.f64 A C)))) (sqrt.f64 (hypot.f64 B (-.f64 A C))) (hypot.f64 B (-.f64 A C))) (fma.f64 (neg.f64 (hypot.f64 B (-.f64 A C))) 1 (hypot.f64 B (-.f64 A C)))))
(+.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 B (-.f64 A C)))) (pow.f64 (cbrt.f64 (hypot.f64 B (-.f64 A C))) 2) (hypot.f64 B (-.f64 A C))) (fma.f64 (neg.f64 (hypot.f64 B (-.f64 A C))) 1 (hypot.f64 B (-.f64 A C)))))
(+.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (+.f64 (fma.f64 (neg.f64 (hypot.f64 B (-.f64 A C))) 1 (hypot.f64 B (-.f64 A C))) (fma.f64 (neg.f64 (sqrt.f64 (hypot.f64 B (-.f64 A C)))) (sqrt.f64 (hypot.f64 B (-.f64 A C))) (hypot.f64 B (-.f64 A C)))))
(+.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (hypot.f64 B (-.f64 A C)))) (sqrt.f64 (hypot.f64 B (-.f64 A C))) (hypot.f64 B (-.f64 A C))) (fma.f64 (neg.f64 (sqrt.f64 (hypot.f64 B (-.f64 A C)))) (sqrt.f64 (hypot.f64 B (-.f64 A C))) (hypot.f64 B (-.f64 A C)))))
(+.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 B (-.f64 A C)))) (pow.f64 (cbrt.f64 (hypot.f64 B (-.f64 A C))) 2) (hypot.f64 B (-.f64 A C))) (fma.f64 (neg.f64 (sqrt.f64 (hypot.f64 B (-.f64 A C)))) (sqrt.f64 (hypot.f64 B (-.f64 A C))) (hypot.f64 B (-.f64 A C)))))
(+.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (+.f64 (fma.f64 (neg.f64 (hypot.f64 B (-.f64 A C))) 1 (hypot.f64 B (-.f64 A C))) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 B (-.f64 A C)))) (pow.f64 (cbrt.f64 (hypot.f64 B (-.f64 A C))) 2) (hypot.f64 B (-.f64 A C)))))
(+.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (hypot.f64 B (-.f64 A C)))) (sqrt.f64 (hypot.f64 B (-.f64 A C))) (hypot.f64 B (-.f64 A C))) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 B (-.f64 A C)))) (pow.f64 (cbrt.f64 (hypot.f64 B (-.f64 A C))) 2) (hypot.f64 B (-.f64 A C)))))
(+.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 B (-.f64 A C)))) (pow.f64 (cbrt.f64 (hypot.f64 B (-.f64 A C))) 2) (hypot.f64 B (-.f64 A C))) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 B (-.f64 A C)))) (pow.f64 (cbrt.f64 (hypot.f64 B (-.f64 A C))) 2) (hypot.f64 B (-.f64 A C)))))
(+.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) A)
(+.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) (+.f64 A (fma.f64 (neg.f64 (hypot.f64 B (-.f64 A C))) 1 (hypot.f64 B (-.f64 A C)))))
(+.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) (+.f64 A (fma.f64 (neg.f64 (sqrt.f64 (hypot.f64 B (-.f64 A C)))) (sqrt.f64 (hypot.f64 B (-.f64 A C))) (hypot.f64 B (-.f64 A C)))))
(+.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) (+.f64 A (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 B (-.f64 A C)))) (pow.f64 (cbrt.f64 (hypot.f64 B (-.f64 A C))) 2) (hypot.f64 B (-.f64 A C)))))
(+.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) (+.f64 (fma.f64 (neg.f64 (hypot.f64 B (-.f64 A C))) 1 (hypot.f64 B (-.f64 A C))) A))
(+.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (hypot.f64 B (-.f64 A C)))) (sqrt.f64 (hypot.f64 B (-.f64 A C))) (hypot.f64 B (-.f64 A C))) A))
(+.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 B (-.f64 A C)))) (pow.f64 (cbrt.f64 (hypot.f64 B (-.f64 A C))) 2) (hypot.f64 B (-.f64 A C))) A))
(+.f64 (neg.f64 (hypot.f64 B (-.f64 A C))) (+.f64 A C))
(+.f64 (neg.f64 (hypot.f64 B (-.f64 A C))) (+.f64 (+.f64 A C) (fma.f64 (neg.f64 (hypot.f64 B (-.f64 A C))) 1 (hypot.f64 B (-.f64 A C)))))
(+.f64 (neg.f64 (hypot.f64 B (-.f64 A C))) (+.f64 (+.f64 A C) (fma.f64 (neg.f64 (sqrt.f64 (hypot.f64 B (-.f64 A C)))) (sqrt.f64 (hypot.f64 B (-.f64 A C))) (hypot.f64 B (-.f64 A C)))))
(+.f64 (neg.f64 (hypot.f64 B (-.f64 A C))) (+.f64 (+.f64 A C) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 B (-.f64 A C)))) (pow.f64 (cbrt.f64 (hypot.f64 B (-.f64 A C))) 2) (hypot.f64 B (-.f64 A C)))))
(+.f64 (+.f64 A (neg.f64 (hypot.f64 B (-.f64 A C)))) C)
(+.f64 (-.f64 A (hypot.f64 B (-.f64 A C))) C)
(+.f64 (*.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) 1) A)
(+.f64 (*.f64 (neg.f64 (hypot.f64 B (-.f64 A C))) 1) (+.f64 A C))
(+.f64 (fma.f64 (neg.f64 (hypot.f64 B (-.f64 A C))) 1 (hypot.f64 B (-.f64 A C))) (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (hypot.f64 B (-.f64 A C)))) (sqrt.f64 (hypot.f64 B (-.f64 A C))) (hypot.f64 B (-.f64 A C))) (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 B (-.f64 A C)))) (pow.f64 (cbrt.f64 (hypot.f64 B (-.f64 A C))) 2) (hypot.f64 B (-.f64 A C))) (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))
(*.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) 1)
(*.f64 1 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))
(*.f64 (sqrt.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))) (sqrt.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))
(*.f64 (cbrt.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))) (pow.f64 (cbrt.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))) 2) (cbrt.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))
(*.f64 (-.f64 (pow.f64 (+.f64 A C) 2) (pow.f64 (hypot.f64 B (-.f64 A C)) 2)) (/.f64 1 (+.f64 C (+.f64 A (hypot.f64 B (-.f64 A C))))))
(.f64 (-.f64 (pow.f64 (+.f64 A C) 3) (pow.f64 (hypot.f64 B (-.f64 A C)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 A C) 2) (.f64 (hypot.f64 B (-.f64 A C)) (+.f64 C (+.f64 A (hypot.f64 B (-.f64 A C))))))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 A C)) (sqrt.f64 (hypot.f64 B (-.f64 A C)))) (-.f64 (sqrt.f64 (+.f64 A C)) (sqrt.f64 (hypot.f64 B (-.f64 A C)))))
(/.f64 1 (/.f64 (+.f64 C (+.f64 A (hypot.f64 B (-.f64 A C)))) (-.f64 (pow.f64 (+.f64 A C) 2) (pow.f64 (hypot.f64 B (-.f64 A C)) 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 A C) 2) (*.f64 (hypot.f64 B (-.f64 A C)) (+.f64 C (+.f64 A (hypot.f64 B (-.f64 A C)))))) (-.f64 (pow.f64 (+.f64 A C) 3) (pow.f64 (hypot.f64 B (-.f64 A C)) 3))))
(/.f64 (-.f64 (pow.f64 (+.f64 A C) 2) (pow.f64 (hypot.f64 B (-.f64 A C)) 2)) (+.f64 C (+.f64 A (hypot.f64 B (-.f64 A C)))))
(/.f64 (-.f64 (pow.f64 (+.f64 A C) 3) (pow.f64 (hypot.f64 B (-.f64 A C)) 3)) (+.f64 (pow.f64 (+.f64 A C) 2) (*.f64 (hypot.f64 B (-.f64 A C)) (+.f64 C (+.f64 A (hypot.f64 B (-.f64 A C)))))))
(/.f64 (-.f64 (.f64 A A) (.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) (-.f64 C (hypot.f64 B (-.f64 A C))))) (-.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))
(/.f64 (-.f64 (pow.f64 (+.f64 A C) 2) (*.f64 (neg.f64 (hypot.f64 B (-.f64 A C))) (neg.f64 (hypot.f64 B (-.f64 A C))))) (-.f64 (+.f64 A C) (neg.f64 (hypot.f64 B (-.f64 A C)))))
(/.f64 (+.f64 (pow.f64 A 3) (pow.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) 3)) (+.f64 (.f64 A A) (-.f64 (.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) (-.f64 C (hypot.f64 B (-.f64 A C)))) (*.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))))
(/.f64 (+.f64 (pow.f64 (+.f64 A C) 3) (pow.f64 (neg.f64 (hypot.f64 B (-.f64 A C))) 3)) (+.f64 (pow.f64 (+.f64 A C) 2) (-.f64 (.f64 (neg.f64 (hypot.f64 B (-.f64 A C))) (neg.f64 (hypot.f64 B (-.f64 A C)))) (.f64 (+.f64 A C) (neg.f64 (hypot.f64 B (-.f64 A C)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 A C) 2) (pow.f64 (hypot.f64 B (-.f64 A C)) 2))) (neg.f64 (+.f64 C (+.f64 A (hypot.f64 B (-.f64 A C))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 A C) 3) (pow.f64 (hypot.f64 B (-.f64 A C)) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 A C) 2) (*.f64 (hypot.f64 B (-.f64 A C)) (+.f64 C (+.f64 A (hypot.f64 B (-.f64 A C))))))))
(pow.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) 1)
(pow.f64 (sqrt.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))) 2)
(pow.f64 (cbrt.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))) 3)
(pow.f64 (pow.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) 2))
(log.f64 (exp.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))))
(cbrt.f64 (pow.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) 3))
(expm1.f64 (log1p.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))
(exp.f64 (log.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))
(exp.f64 (*.f64 (log.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))) 1))
(log1p.f64 (expm1.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))
(fma.f64 1 A (-.f64 C (hypot.f64 B (-.f64 A C))))
(fma.f64 1 (+.f64 A C) (neg.f64 (hypot.f64 B (-.f64 A C))))
(fma.f64 (sqrt.f64 (+.f64 A C)) (sqrt.f64 (+.f64 A C)) (neg.f64 (hypot.f64 B (-.f64 A C))))
(fma.f64 (sqrt.f64 A) (sqrt.f64 A) (-.f64 C (hypot.f64 B (-.f64 A C))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 A C)) 2) (cbrt.f64 (+.f64 A C)) (neg.f64 (hypot.f64 B (-.f64 A C))))
(fma.f64 (pow.f64 (cbrt.f64 A) 2) (cbrt.f64 A) (-.f64 C (hypot.f64 B (-.f64 A C))))

Outputs
(*.f64 -1 (/.f64 F A))
(neg.f64 (/.f64 F A))
(+.f64 (.f64 2 (.f64 (-.f64 (.f64 1/8 (/.f64 F (.f64 A (.f64 (-.f64 A C) C)))) (.f64 1/8 (/.f64 F (.f64 (pow.f64 A 2) C)))) (pow.f64 B 2))) (.f64 -1 (/.f64 F A)))
(fma.f64 2 (.f64 (.f64 1/8 (-.f64 (/.f64 (/.f64 F A) (.f64 C (-.f64 A C))) (/.f64 F (.f64 C (.f64 A A))))) (.f64 B B)) (neg.f64 (/.f64 F A)))
(+.f64 (.f64 2 (.f64 (-.f64 (.f64 1/8 (/.f64 F (.f64 A (.f64 (-.f64 A C) C)))) (.f64 1/8 (/.f64 F (.f64 (pow.f64 A 2) C)))) (pow.f64 B 2))) (+.f64 (.f64 2 (.f64 (-.f64 (.f64 -1/32 (/.f64 F (.f64 A (.f64 (pow.f64 (-.f64 A C) 3) C)))) (.f64 -1/4 (/.f64 (-.f64 (.f64 1/8 (/.f64 F (.f64 (-.f64 A C) (.f64 A C)))) (.f64 1/8 (/.f64 F (.f64 (pow.f64 A 2) C)))) (.f64 A C)))) (pow.f64 B 4))) (.f64 -1 (/.f64 F A))))
(fma.f64 2 (.f64 (.f64 1/8 (-.f64 (/.f64 (/.f64 F A) (.f64 C (-.f64 A C))) (/.f64 F (.f64 C (.f64 A A))))) (.f64 B B)) (fma.f64 2 (.f64 (+.f64 (/.f64 (.f64 -1/32 F) (.f64 (.f64 A (pow.f64 (-.f64 A C) 3)) C)) (.f64 1/4 (/.f64 (.f64 1/8 (-.f64 (/.f64 (/.f64 F (-.f64 A C)) (.f64 A C)) (/.f64 F (.f64 C (.f64 A A))))) (.f64 A C)))) (pow.f64 B 4)) (neg.f64 (/.f64 F A))))
(fma.f64 2 (.f64 (.f64 1/8 (-.f64 (/.f64 (/.f64 F A) (.f64 C (-.f64 A C))) (/.f64 F (.f64 C (.f64 A A))))) (.f64 B B)) (fma.f64 2 (.f64 (-.f64 (/.f64 (.f64 -1/32 F) (.f64 (.f64 A (pow.f64 (-.f64 A C) 3)) C)) (/.f64 (.f64 (.f64 1/8 (-.f64 (/.f64 (/.f64 F (-.f64 A C)) (.f64 A C)) (/.f64 F (.f64 C (.f64 A A))))) -1/4) (.f64 A C))) (pow.f64 B 4)) (neg.f64 (/.f64 F A))))
(+.f64 (.f64 2 (.f64 (-.f64 (.f64 1/8 (/.f64 F (.f64 A (.f64 (-.f64 A C) C)))) (.f64 1/8 (/.f64 F (.f64 (pow.f64 A 2) C)))) (pow.f64 B 2))) (+.f64 (.f64 2 (.f64 (-.f64 (.f64 -1/32 (/.f64 F (.f64 A (.f64 (pow.f64 (-.f64 A C) 3) C)))) (.f64 -1/4 (/.f64 (-.f64 (.f64 1/8 (/.f64 F (.f64 (-.f64 A C) (.f64 A C)))) (.f64 1/8 (/.f64 F (.f64 (pow.f64 A 2) C)))) (.f64 A C)))) (pow.f64 B 4))) (+.f64 (.f64 2 (.f64 (-.f64 (.f64 1/64 (/.f64 F (.f64 A (.f64 (pow.f64 (-.f64 A C) 5) C)))) (.f64 -1/4 (/.f64 (-.f64 (.f64 -1/32 (/.f64 F (.f64 (pow.f64 (-.f64 A C) 3) (.f64 A C)))) (.f64 -1/4 (/.f64 (-.f64 (.f64 1/8 (/.f64 F (.f64 A (.f64 (-.f64 A C) C)))) (.f64 1/8 (/.f64 F (.f64 (pow.f64 A 2) C)))) (.f64 A C)))) (.f64 A C)))) (pow.f64 B 6))) (*.f64 -1 (/.f64 F A)))))
(fma.f64 2 (.f64 (.f64 1/8 (-.f64 (/.f64 (/.f64 F A) (.f64 C (-.f64 A C))) (/.f64 F (.f64 C (.f64 A A))))) (.f64 B B)) (fma.f64 2 (.f64 (+.f64 (/.f64 (.f64 -1/32 F) (.f64 (.f64 A (pow.f64 (-.f64 A C) 3)) C)) (.f64 1/4 (/.f64 (.f64 1/8 (-.f64 (/.f64 (/.f64 F (-.f64 A C)) (.f64 A C)) (/.f64 F (.f64 C (.f64 A A))))) (.f64 A C)))) (pow.f64 B 4)) (fma.f64 2 (.f64 (+.f64 (/.f64 (.f64 1/64 F) (.f64 (.f64 A (pow.f64 (-.f64 A C) 5)) C)) (.f64 1/4 (/.f64 (+.f64 (/.f64 (.f64 -1/32 F) (.f64 (pow.f64 (-.f64 A C) 3) (.f64 A C))) (.f64 1/4 (/.f64 (.f64 1/8 (-.f64 (/.f64 (/.f64 F A) (.f64 C (-.f64 A C))) (/.f64 F (.f64 C (.f64 A A))))) (.f64 A C)))) (*.f64 A C)))) (pow.f64 B 6)) (neg.f64 (/.f64 F A)))))
(fma.f64 2 (.f64 (.f64 1/8 (-.f64 (/.f64 (/.f64 F A) (.f64 C (-.f64 A C))) (/.f64 F (.f64 C (.f64 A A))))) (.f64 B B)) (fma.f64 2 (.f64 (-.f64 (/.f64 (.f64 -1/32 F) (.f64 (.f64 A (pow.f64 (-.f64 A C) 3)) C)) (/.f64 (.f64 (.f64 1/8 (-.f64 (/.f64 (/.f64 F (-.f64 A C)) (.f64 A C)) (/.f64 F (.f64 C (.f64 A A))))) -1/4) (.f64 A C))) (pow.f64 B 4)) (fma.f64 2 (.f64 (+.f64 (/.f64 (.f64 1/64 F) (.f64 (.f64 A (pow.f64 (-.f64 A C) 5)) C)) (.f64 1/4 (/.f64 (+.f64 (/.f64 (.f64 -1/32 F) (.f64 (pow.f64 (-.f64 A C) 3) (.f64 A C))) (.f64 1/4 (/.f64 (.f64 1/8 (-.f64 (/.f64 (/.f64 F A) (.f64 C (-.f64 A C))) (/.f64 F (.f64 C (.f64 A A))))) (.f64 A C)))) (*.f64 A C)))) (pow.f64 B 6)) (neg.f64 (/.f64 F A)))))
(*.f64 -2 (/.f64 F B))
(/.f64 (*.f64 -2 F) B)
(+.f64 (.f64 2 (/.f64 (.f64 F (+.f64 A C)) (pow.f64 B 2))) (*.f64 -2 (/.f64 F B)))
(fma.f64 2 (/.f64 F (/.f64 (.f64 B B) (+.f64 A C))) (/.f64 (.f64 -2 F) B))
(+.f64 (.f64 2 (/.f64 (.f64 F (+.f64 A C)) (pow.f64 B 2))) (+.f64 (.f64 -2 (/.f64 F B)) (.f64 2 (/.f64 (-.f64 (.f64 -1/2 (.f64 (pow.f64 (-.f64 A C) 2) F)) (.f64 4 (.f64 A (*.f64 C F)))) (pow.f64 B 3)))))
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(-.f64 A (*.f64 -1 A))
(-.f64 A (neg.f64 A))
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(*.f64 2 C)
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(fma.f64 1/2 (/.f64 (.f64 B B) C) (.f64 2 C))
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(fma.f64 1/2 (/.f64 (.f64 B B) C) (fma.f64 1/2 (/.f64 A (/.f64 (.f64 C C) (.f64 B B))) (.f64 2 C)))
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(fma.f64 1/2 (/.f64 (.f64 B B) C) (fma.f64 1/2 (/.f64 A (/.f64 (.f64 C C) (.f64 B B))) (fma.f64 -1/2 (/.f64 (fma.f64 -1 (.f64 (.f64 A A) (.f64 B B)) (pow.f64 (.f64 (.f64 B B) 1/2) 2)) (pow.f64 C 3)) (*.f64 2 C))))
(*.f64 2 C)
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(fma.f64 -1/2 (/.f64 (.f64 B B) (-.f64 A C)) (.f64 2 C))
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(fma.f64 -1/2 (/.f64 (.f64 B B) (-.f64 A C)) (fma.f64 2 C (.f64 1/8 (/.f64 (pow.f64 B 4) (pow.f64 (-.f64 A C) 3)))))
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(fma.f64 -1/2 (/.f64 (.f64 B B) (-.f64 A C)) (fma.f64 -1/16 (/.f64 (pow.f64 B 6) (pow.f64 (-.f64 A C) 5)) (fma.f64 2 C (.f64 1/8 (/.f64 (pow.f64 B 4) (pow.f64 (-.f64 A C) 3))))))
(*.f64 -1 B)
(neg.f64 B)
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(+.f64 (+.f64 A C) (neg.f64 B))
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B
(+.f64 A (+.f64 C B))
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(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 (.f64 2 F) (fma.f64 B B (.f64 C (.f64 -4 A))))) (pow.f64 (fma.f64 B B (.f64 C (.f64 -4 A))) -2)))) 1)
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(/.f64 (-.f64 A (-.f64 (hypot.f64 B (-.f64 A C)) C)) (/.f64 (fma.f64 B B (.f64 C (.f64 A -4))) (*.f64 F 2)))
(.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 2 F)) (.f64 (fma.f64 B B (.f64 C (.f64 -4 A))) (pow.f64 (fma.f64 B B (.f64 C (.f64 -4 A))) -2)))
(.f64 (.f64 (-.f64 A (-.f64 (hypot.f64 B (-.f64 A C)) C)) (.f64 2 (.f64 F (fma.f64 B B (.f64 C (.f64 A -4)))))) (pow.f64 (fma.f64 B B (.f64 C (.f64 A -4))) -2))
(.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 (.f64 2 F) (fma.f64 B B (.f64 C (.f64 -4 A))))) (pow.f64 (fma.f64 B B (.f64 C (.f64 -4 A))) -2))
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(.f64 (.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 (.f64 2 F) (fma.f64 B B (.f64 C (.f64 -4 A))))) (pow.f64 (fma.f64 B B (.f64 C (*.f64 -4 A))) -2)) 1)
(.f64 (.f64 (-.f64 A (-.f64 (hypot.f64 B (-.f64 A C)) C)) (.f64 2 (.f64 F (fma.f64 B B (.f64 C (.f64 A -4)))))) (pow.f64 (fma.f64 B B (.f64 C (.f64 A -4))) -2))
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(.f64 (.f64 (-.f64 A (-.f64 (hypot.f64 B (-.f64 A C)) C)) (.f64 2 (.f64 F (fma.f64 B B (.f64 C (.f64 A -4)))))) (pow.f64 (fma.f64 B B (.f64 C (.f64 A -4))) -2))
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(*.f64 (-.f64 (pow.f64 (+.f64 A C) 2) (pow.f64 (hypot.f64 B (-.f64 A C)) 2)) (/.f64 1 (+.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))
(.f64 (-.f64 (pow.f64 (+.f64 A C) 3) (pow.f64 (hypot.f64 B (-.f64 A C)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 A C) 2) (.f64 (hypot.f64 B (-.f64 A C)) (+.f64 C (+.f64 A (hypot.f64 B (-.f64 A C))))))))
(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 A C) 3) (pow.f64 (hypot.f64 B (-.f64 A C)) 3)) 1) (+.f64 (pow.f64 (+.f64 A C) 2) (.f64 (hypot.f64 B (-.f64 A C)) (+.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 A C)) (sqrt.f64 (hypot.f64 B (-.f64 A C)))) (-.f64 (sqrt.f64 (+.f64 A C)) (sqrt.f64 (hypot.f64 B (-.f64 A C)))))
(*.f64 (+.f64 (sqrt.f64 (hypot.f64 B (-.f64 A C))) (sqrt.f64 (+.f64 A C))) (-.f64 (sqrt.f64 (+.f64 A C)) (sqrt.f64 (hypot.f64 B (-.f64 A C)))))
(/.f64 1 (/.f64 (+.f64 C (+.f64 A (hypot.f64 B (-.f64 A C)))) (-.f64 (pow.f64 (+.f64 A C) 2) (pow.f64 (hypot.f64 B (-.f64 A C)) 2))))
(*.f64 (-.f64 (pow.f64 (+.f64 A C) 2) (pow.f64 (hypot.f64 B (-.f64 A C)) 2)) (/.f64 1 (+.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 A C) 2) (*.f64 (hypot.f64 B (-.f64 A C)) (+.f64 C (+.f64 A (hypot.f64 B (-.f64 A C)))))) (-.f64 (pow.f64 (+.f64 A C) 3) (pow.f64 (hypot.f64 B (-.f64 A C)) 3))))
(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 A C) 3) (pow.f64 (hypot.f64 B (-.f64 A C)) 3)) 1) (+.f64 (pow.f64 (+.f64 A C) 2) (.f64 (hypot.f64 B (-.f64 A C)) (+.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))))
(/.f64 (-.f64 (pow.f64 (+.f64 A C) 2) (pow.f64 (hypot.f64 B (-.f64 A C)) 2)) (+.f64 C (+.f64 A (hypot.f64 B (-.f64 A C)))))
(/.f64 (-.f64 (pow.f64 (+.f64 A C) 2) (pow.f64 (hypot.f64 B (-.f64 A C)) 2)) (+.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))
(/.f64 (-.f64 (pow.f64 (+.f64 A C) 3) (pow.f64 (hypot.f64 B (-.f64 A C)) 3)) (+.f64 (pow.f64 (+.f64 A C) 2) (*.f64 (hypot.f64 B (-.f64 A C)) (+.f64 C (+.f64 A (hypot.f64 B (-.f64 A C)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 A C) 3) (pow.f64 (hypot.f64 B (-.f64 A C)) 3)) (+.f64 (pow.f64 (+.f64 A C) 2) (*.f64 (hypot.f64 B (-.f64 A C)) (+.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))))
(/.f64 (-.f64 (.f64 A A) (.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) (-.f64 C (hypot.f64 B (-.f64 A C))))) (-.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))
(/.f64 (*.f64 (-.f64 A (-.f64 (hypot.f64 B (-.f64 A C)) C)) (+.f64 (-.f64 A C) (hypot.f64 B (-.f64 A C)))) (+.f64 (-.f64 A C) (hypot.f64 B (-.f64 A C))))
(/.f64 (-.f64 (pow.f64 (+.f64 A C) 2) (*.f64 (neg.f64 (hypot.f64 B (-.f64 A C))) (neg.f64 (hypot.f64 B (-.f64 A C))))) (-.f64 (+.f64 A C) (neg.f64 (hypot.f64 B (-.f64 A C)))))
(/.f64 (-.f64 (pow.f64 (+.f64 A C) 2) (pow.f64 (hypot.f64 B (-.f64 A C)) 2)) (+.f64 A (-.f64 C (neg.f64 (hypot.f64 B (-.f64 A C))))))
(/.f64 (+.f64 (pow.f64 A 3) (pow.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) 3)) (+.f64 (.f64 A A) (-.f64 (.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) (-.f64 C (hypot.f64 B (-.f64 A C)))) (*.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))))
(/.f64 (+.f64 (pow.f64 A 3) (pow.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) 3)) (fma.f64 A A (*.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) (-.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) A))))
(/.f64 (+.f64 (pow.f64 A 3) (pow.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) 3)) (fma.f64 A A (*.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) (-.f64 C (+.f64 A (hypot.f64 B (-.f64 A C)))))))
(/.f64 (+.f64 (pow.f64 (+.f64 A C) 3) (pow.f64 (neg.f64 (hypot.f64 B (-.f64 A C))) 3)) (+.f64 (pow.f64 (+.f64 A C) 2) (-.f64 (.f64 (neg.f64 (hypot.f64 B (-.f64 A C))) (neg.f64 (hypot.f64 B (-.f64 A C)))) (.f64 (+.f64 A C) (neg.f64 (hypot.f64 B (-.f64 A C)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 A C) 3) (pow.f64 (hypot.f64 B (-.f64 A C)) 3)) (+.f64 (pow.f64 (+.f64 A C) 2) (*.f64 (neg.f64 (hypot.f64 B (-.f64 A C))) (-.f64 (neg.f64 (hypot.f64 B (-.f64 A C))) (+.f64 A C)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 A C) 2) (pow.f64 (hypot.f64 B (-.f64 A C)) 2))) (neg.f64 (+.f64 C (+.f64 A (hypot.f64 B (-.f64 A C))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 A C) 2) (pow.f64 (hypot.f64 B (-.f64 A C)) 2))) (neg.f64 (+.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 A C) 2) (pow.f64 (hypot.f64 B (-.f64 A C)) 2))) (-.f64 (neg.f64 (hypot.f64 B (-.f64 A C))) (+.f64 A C)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 A C) 3) (pow.f64 (hypot.f64 B (-.f64 A C)) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 A C) 2) (*.f64 (hypot.f64 B (-.f64 A C)) (+.f64 C (+.f64 A (hypot.f64 B (-.f64 A C))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 A C) 3) (pow.f64 (hypot.f64 B (-.f64 A C)) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 A C) 2) (*.f64 (hypot.f64 B (-.f64 A C)) (+.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))))
(pow.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) 1)
(-.f64 A (-.f64 (hypot.f64 B (-.f64 A C)) C))
(pow.f64 (sqrt.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))) 2)
(-.f64 A (-.f64 (hypot.f64 B (-.f64 A C)) C))
(pow.f64 (cbrt.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))) 3)
(-.f64 A (-.f64 (hypot.f64 B (-.f64 A C)) C))
(pow.f64 (pow.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) 3) 1/3)
(-.f64 A (-.f64 (hypot.f64 B (-.f64 A C)) C))
(sqrt.f64 (pow.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) 2))
(sqrt.f64 (pow.f64 (-.f64 A (-.f64 (hypot.f64 B (-.f64 A C)) C)) 2))
(log.f64 (exp.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))
(-.f64 A (-.f64 (hypot.f64 B (-.f64 A C)) C))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))))
(-.f64 A (-.f64 (hypot.f64 B (-.f64 A C)) C))
(cbrt.f64 (pow.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) 3))
(-.f64 A (-.f64 (hypot.f64 B (-.f64 A C)) C))
(expm1.f64 (log1p.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))
(-.f64 A (-.f64 (hypot.f64 B (-.f64 A C)) C))
(exp.f64 (log.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))
(-.f64 A (-.f64 (hypot.f64 B (-.f64 A C)) C))
(exp.f64 (*.f64 (log.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))) 1))
(-.f64 A (-.f64 (hypot.f64 B (-.f64 A C)) C))
(log1p.f64 (expm1.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))
(-.f64 A (-.f64 (hypot.f64 B (-.f64 A C)) C))
(fma.f64 1 A (-.f64 C (hypot.f64 B (-.f64 A C))))
(-.f64 A (-.f64 (hypot.f64 B (-.f64 A C)) C))
(fma.f64 1 (+.f64 A C) (neg.f64 (hypot.f64 B (-.f64 A C))))
(fma.f64 (sqrt.f64 (+.f64 A C)) (sqrt.f64 (+.f64 A C)) (neg.f64 (hypot.f64 B (-.f64 A C))))
(fma.f64 (sqrt.f64 A) (sqrt.f64 A) (-.f64 C (hypot.f64 B (-.f64 A C))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 A C)) 2) (cbrt.f64 (+.f64 A C)) (neg.f64 (hypot.f64 B (-.f64 A C))))
(fma.f64 (pow.f64 (cbrt.f64 A) 2) (cbrt.f64 A) (-.f64 C (hypot.f64 B (-.f64 A C))))

eval2.3s (4.6%)

Compiler: Compiled 125908 to 66709 computations (47% saved)

prune963.0ms (2%)

Pruning

86 alts after pruning (86 fresh and 0 done)

	Pruned	Kept	Total
New	1923	56	1979
Fresh	24	30	54
Picked	1	0	1
Done	4	0	4
Total	1952	86	2038

Error

19.9b

Counts

2038 → 86

Alt Table

Click to see full alt table

Status	Error	Program
	55.1b	(/.f64 (.f64 (sqrt.f64 2) (.f64 B (sqrt.f64 (.f64 F (-.f64 A (hypot.f64 B A)))))) (neg.f64 (fma.f64 B B (.f64 A (*.f64 C -4)))))
	62.8b	(/.f64 (sqrt.f64 2) (/.f64 B (sqrt.f64 (*.f64 C F))))
	57.8b	(/.f64 (neg.f64 (.f64 (pow.f64 (pow.f64 (.f64 F (-.f64 A (hypot.f64 B A))) 3/2) 1/3) (.f64 B (sqrt.f64 2)))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
	48.8b	(/.f64 (neg.f64 (.f64 (hypot.f64 B (sqrt.f64 (.f64 A (.f64 C -4)))) (sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 2 F))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
	59.9b	(/.f64 (neg.f64 (.f64 (+.f64 (sqrt.f64 (.f64 F (-.f64 A (neg.f64 A)))) (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 F (-.f64 A (neg.f64 A)))) (/.f64 (-.f64 (+.f64 (.f64 B B) (.f64 A A)) (pow.f64 (neg.f64 A) 2)) C)))) (sqrt.f64 (.f64 2 (fma.f64 B B (.f64 A (.f64 C -4))))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
	62.9b	(/.f64 (neg.f64 (.f64 (.f64 B (sqrt.f64 2)) (neg.f64 (sqrt.f64 (.f64 C F))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
	61.8b	(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))) (sqrt.f64 (.f64 2 F)))) (fma.f64 B B (.f64 A (*.f64 C -4))))
	58.5b	(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (-.f64 C (neg.f64 C)))) (sqrt.f64 (.f64 2 (fma.f64 B B (.f64 A (.f64 C -4))))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
	57.0b	(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (-.f64 A (fma.f64 1/2 (/.f64 (.f64 A A) B) B)))) (.f64 B (sqrt.f64 2)))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
	55.4b	(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (-.f64 A (pow.f64 (cbrt.f64 (hypot.f64 B A)) 3)))) (.f64 B (sqrt.f64 2)))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
	58.7b	(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (-.f64 A (sqrt.f64 (+.f64 (.f64 B B) (.f64 A A)))))) (.f64 B (sqrt.f64 2)))) (/.f64 1 (/.f64 (fma.f64 B B (.f64 A (.f64 C 4))) (-.f64 (pow.f64 B 4) (.f64 (pow.f64 (*.f64 A C) 2) 16)))))
	57.1b	(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (-.f64 A (sqrt.f64 (+.f64 (.f64 B B) (.f64 A A)))))) (.f64 B (sqrt.f64 2)))) (expm1.f64 (log1p.f64 (fma.f64 B B (.f64 (*.f64 A C) -4)))))
	61.9b	(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (-.f64 A (neg.f64 A)))) (.f64 B (sqrt.f64 2)))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
	55.8b	(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (-.f64 A (expm1.f64 (log1p.f64 (hypot.f64 B A)))))) (.f64 B (sqrt.f64 2)))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
	56.7b	(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (-.f64 A B))) (.f64 B (sqrt.f64 2)))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
	61.7b	(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (-.f64 A A))) (.f64 B (sqrt.f64 2)))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
▶	54.6b	(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))) (.f64 (sqrt.f64 2) B))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
	57.1b	(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))) (neg.f64 (.f64 (sqrt.f64 2) B)))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
	57.5b	(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (+.f64 A (+.f64 A (/.f64 -1/2 (/.f64 C (+.f64 (.f64 B B) (-.f64 (.f64 A A) (pow.f64 (neg.f64 A) 2))))))))) (sqrt.f64 (.f64 2 (fma.f64 B B (.f64 A (.f64 C -4))))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
	57.6b	(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (+.f64 A B))) (sqrt.f64 (.f64 2 (fma.f64 B B (.f64 A (.f64 C -4))))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
	57.1b	(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (+.f64 A A))) (sqrt.f64 (.f64 2 (fma.f64 B B (.f64 A (.f64 C -4))))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
	63.4b	(/.f64 (neg.f64 (.f64 (sqrt.f64 C) (sqrt.f64 (.f64 F (.f64 (fma.f64 B B (.f64 -4 (.f64 A C))) 2))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
	55.6b	(/.f64 (neg.f64 (.f64 (exp.f64 (.f64 (log.f64 (.f64 F (-.f64 A (hypot.f64 B A)))) 1/2)) (.f64 B (sqrt.f64 2)))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
	62.7b	(/.f64 (neg.f64 (.f64 B (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 C F))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
	60.4b	(/.f64 (neg.f64 (sqrt.f64 (fma.f64 -16 (.f64 A (.f64 F (.f64 C C))) (.f64 (.f64 2 F) (.f64 (.f64 B B) (.f64 2 (+.f64 (/.f64 (.f64 A C) (-.f64 A C)) C))))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
	50.7b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (+.f64 A (+.f64 (.f64 (.f64 A C) (sqrt.f64 (/.f64 1 (+.f64 (.f64 B B) (.f64 C C))))) (-.f64 C (sqrt.f64 (+.f64 (.f64 B B) (.f64 C C)))))) (.f64 2 F))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
	58.3b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (+.f64 A (+.f64 A (.f64 1/2 (/.f64 (.f64 B B) A)))) (.f64 2 F))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
	57.0b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (+.f64 A (+.f64 A (.f64 -1/2 (/.f64 (+.f64 (.f64 B B) (-.f64 (.f64 A A) (pow.f64 (neg.f64 A) 2))) C)))) (.f64 2 F))))) (fma.f64 B B (.f64 A (.f64 C -4))))
	57.1b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (+.f64 A A) (.f64 2 F))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
	63.5b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (neg.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 2 F)))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
	59.4b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 -2 F) (pow.f64 B 3)))) (fma.f64 B B (.f64 A (.f64 C -4))))
	59.0b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 -8 A) (.f64 (.f64 F C) (-.f64 C (neg.f64 C)))))) (fma.f64 B B (.f64 A (.f64 C -4))))
	58.9b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 -8 A) (.f64 (.f64 F C) (-.f64 A (neg.f64 A)))))) (fma.f64 B B (.f64 A (.f64 C -4))))
	59.5b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 -16 (.f64 A A)) (.f64 F C)))) (fma.f64 B B (.f64 A (.f64 C -4))))
	60.4b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 -16 A) (.f64 F (.f64 C C))))) (fma.f64 B B (.f64 A (.f64 C -4))))
	54.9b	(/.f64 (neg.f64 (sqrt.f64 (.f64 F (-.f64 A (hypot.f64 B A))))) (/.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 B (sqrt.f64 2))))
	59.8b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (fma.f64 2 (.f64 (.f64 F C) (+.f64 (.f64 B B) (-.f64 (.f64 C C) (pow.f64 (neg.f64 C) 2)))) (fma.f64 (-.f64 C (neg.f64 C)) (.f64 F (.f64 B B)) (fma.f64 2 (/.f64 (+.f64 (.f64 B B) (-.f64 (.f64 C C) (pow.f64 (neg.f64 C) 2))) (/.f64 A (.f64 F (.f64 C C)))) (fma.f64 -4 (.f64 (.f64 A C) (.f64 F (-.f64 C (neg.f64 C)))) (.f64 -1/2 (/.f64 (+.f64 (.f64 B B) (-.f64 (.f64 C C) (pow.f64 (neg.f64 C) 2))) (/.f64 A (.f64 F (.f64 B B)))))))))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
	57.0b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) (.f64 F (fma.f64 -1/2 (/.f64 (.f64 B B) (-.f64 A C)) (.f64 2 C))))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
	57.3b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) (.f64 F (.f64 2 C)))))) (fma.f64 B B (.f64 A (.f64 -4 C))))
	59.0b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) (.f64 F (neg.f64 B)))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
	59.1b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) (.f64 F B))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
	61.8b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (+.f64 (-.f64 A C) (.f64 1/2 (/.f64 (+.f64 (.f64 B B) (-.f64 (.f64 C C) (pow.f64 (neg.f64 C) 2))) A))))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
▶	60.4b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (+.f64 (-.f64 A C) (.f64 -1/2 (/.f64 (.f64 B B) C))))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
	58.9b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (+.f64 (.f64 1/2 (/.f64 (.f64 C C) B)) B))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
	59.6b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B)) (.f64 -1 B)))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
	60.0b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (+.f64 C (fma.f64 -1/2 (/.f64 (.f64 B B) A) (neg.f64 A))))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
	59.8b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (neg.f64 C))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
	58.3b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (neg.f64 B))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
	59.8b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (neg.f64 A))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
	62.2b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C C)))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
	58.3b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C B)))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
	62.5b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 B (.f64 B F)) (+.f64 A (-.f64 C A)))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
	62.1b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 -4 (.f64 (.f64 A C) F)) (+.f64 A (-.f64 C A)))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
	59.8b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 F (+.f64 (pow.f64 B 3) (.f64 (.f64 B B) (+.f64 A C))))))) (fma.f64 B B (.f64 A (.f64 -4 C))))
	62.8b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 F (.f64 C (.f64 B B)))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
	62.7b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 C (.f64 F (.f64 B B)))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
	62.0b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 A (.f64 -4 (.f64 C (.f64 C F))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
	57.6b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 -4 (.f64 (.f64 A C) (.f64 F (-.f64 C (neg.f64 C)))))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
	62.3b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 -4 (.f64 A (.f64 (.f64 C C) F)))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
	61.7b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (fabs.f64 (.f64 F (.f64 C (fma.f64 B B (.f64 -4 (.f64 A C))))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
	56.9b	(.f64 (/.f64 (sqrt.f64 (.f64 F (-.f64 A (hypot.f64 B A)))) (/.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) (*.f64 B (sqrt.f64 2)))) 1)
	57.8b	(.f64 (/.f64 (sqrt.f64 2) B) (sqrt.f64 (.f64 F (-.f64 A (sqrt.f64 (+.f64 (.f64 A A) (.f64 B B)))))))
	62.8b	(.f64 (/.f64 (sqrt.f64 2) B) (sqrt.f64 (.f64 C F)))
	53.3b	(.f64 (/.f64 (sqrt.f64 2) B) (neg.f64 (sqrt.f64 (.f64 F (-.f64 C (fma.f64 1/2 (*.f64 (/.f64 C B) C) B))))))
	62.7b	(.f64 (/.f64 (sqrt.f64 2) B) (neg.f64 (sqrt.f64 (.f64 C F))))
	56.4b	(.f64 (/.f64 (neg.f64 (sqrt.f64 2)) B) (sqrt.f64 (.f64 F (-.f64 A (sqrt.f64 (+.f64 (.f64 B B) (.f64 A A)))))))
	57.1b	(.f64 (/.f64 1 (fma.f64 B B (.f64 (.f64 A C) -4))) (.f64 B (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 F (-.f64 A (hypot.f64 B A)))))))
	55.5b	(.f64 (/.f64 -1 (sqrt.f64 (fma.f64 B B (.f64 (.f64 A C) -4)))) (/.f64 (.f64 B (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 F (-.f64 A (hypot.f64 B A)))))) (sqrt.f64 (fma.f64 B B (.f64 (.f64 A C) -4)))))
	57.1b	(.f64 (.f64 B (sqrt.f64 2)) (/.f64 (sqrt.f64 (.f64 F (-.f64 A (hypot.f64 B A)))) (fma.f64 B B (.f64 A (*.f64 C -4)))))
▶	45.4b	(.f64 (sqrt.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))) (.f64 (neg.f64 (sqrt.f64 (.f64 2 (fma.f64 B B (.f64 A (.f64 C -4)))))) (/.f64 1 (fma.f64 B B (.f64 A (.f64 C -4))))))
	58.1b	(.f64 (sqrt.f64 (.f64 F (-.f64 C (sqrt.f64 (+.f64 (.f64 B B) (.f64 C C)))))) (/.f64 (sqrt.f64 2) B))
▶	53.3b	(.f64 (sqrt.f64 (.f64 F (-.f64 A (fma.f64 1/2 (*.f64 (/.f64 A B) A) B)))) (neg.f64 (/.f64 (sqrt.f64 2) B)))
	63.1b	(.f64 (sqrt.f64 (.f64 F (-.f64 A (sqrt.f64 (+.f64 (.f64 A A) (.f64 B B)))))) (.f64 1/4 (.f64 (/.f64 (sqrt.f64 2) (*.f64 A C)) B)))
	51.1b	(.f64 (sqrt.f64 (.f64 F (.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) 2) (fma.f64 B B (.f64 A (.f64 C -4)))))) (/.f64 -1 (fma.f64 B B (.f64 A (.f64 C -4)))))
	57.1b	(.f64 B (.f64 (sqrt.f64 (.f64 F (-.f64 A (hypot.f64 B A)))) (/.f64 (sqrt.f64 2) (fma.f64 B B (.f64 A (*.f64 C -4))))))
	60.7b	(sqrt.f64 (fma.f64 -1/4 (.f64 (/.f64 F (.f64 A A)) (/.f64 (.f64 B B) C)) (fma.f64 2 (/.f64 (-.f64 (/.f64 (.f64 -1/8 (.f64 F (.f64 B B))) A) (/.f64 (.f64 1/32 (.f64 F (pow.f64 B 4))) (pow.f64 A 3))) (.f64 C C)) (fma.f64 -2 (/.f64 (-.f64 (.f64 1/8 (.f64 F (.f64 B B))) (/.f64 (.f64 1/4 (.f64 (.f64 B B) (-.f64 (/.f64 (.f64 -1/8 (.f64 F (.f64 B B))) A) (/.f64 (.f64 1/32 (.f64 F (pow.f64 B 4))) (pow.f64 A 3))))) A)) (pow.f64 C 3)) (neg.f64 (/.f64 F A))))))
	62.8b	(sqrt.f64 (/.f64 (*.f64 -2 F) B))
	63.5b	(sqrt.f64 (.f64 2 (/.f64 (-.f64 C (sqrt.f64 (+.f64 (.f64 B B) (.f64 C C)))) (/.f64 (.f64 B B) F))))
	62.9b	(sqrt.f64 (*.f64 2 (/.f64 F B)))
	63.3b	(sqrt.f64 (.f64 2 (+.f64 (/.f64 F (/.f64 (.f64 B B) (+.f64 A C))) (/.f64 F B))))
	59.3b	(sqrt.f64 (.f64 -1/2 (/.f64 (-.f64 C (neg.f64 C)) (/.f64 (.f64 A C) F))))
	58.9b	(sqrt.f64 (.f64 -1/2 (/.f64 (-.f64 A (neg.f64 A)) (/.f64 (.f64 A C) F))))
	59.5b	(sqrt.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 C (.f64 -1 C)) F) (.f64 A C))))
	60.4b	(sqrt.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 A (.f64 -1 A)) F) (.f64 A C))))
	57.1b	(sqrt.f64 (neg.f64 (/.f64 F C)))
▶	56.5b	(sqrt.f64 (neg.f64 (/.f64 F A)))

Compiler

Compiled 5430 to 3522 computations (35.1% saved)

localize96.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.5b	(-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))
✓	9.8b	(sqrt.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))
✓	18.6b	(.f64 (neg.f64 (sqrt.f64 (.f64 2 (fma.f64 B B (.f64 A (.f64 C -4)))))) (/.f64 1 (fma.f64 B B (.f64 A (.f64 C -4)))))
	20.6b	(sqrt.f64 (.f64 2 (fma.f64 B B (.f64 A (*.f64 C -4)))))

Compiler

Compiled 172 to 80 computations (53.5% saved)

series78.0ms (0.2%)

Counts

2 → 40

Calls

21 calls:

Time	Variable		Point	Expression
34.0ms	A	@	0	(.f64 (neg.f64 (sqrt.f64 (.f64 2 (fma.f64 B B (.f64 A (.f64 C -4)))))) (/.f64 1 (fma.f64 B B (.f64 A (.f64 C -4)))))
30.0ms	C	@	-inf	(.f64 (neg.f64 (sqrt.f64 (.f64 2 (fma.f64 B B (.f64 A (.f64 C -4)))))) (/.f64 1 (fma.f64 B B (.f64 A (.f64 C -4)))))
2.0ms	B	@	0	(.f64 (neg.f64 (sqrt.f64 (.f64 2 (fma.f64 B B (.f64 A (.f64 C -4)))))) (/.f64 1 (fma.f64 B B (.f64 A (.f64 C -4)))))
2.0ms	A	@	inf	(.f64 (neg.f64 (sqrt.f64 (.f64 2 (fma.f64 B B (.f64 A (.f64 C -4)))))) (/.f64 1 (fma.f64 B B (.f64 A (.f64 C -4)))))
2.0ms	C	@	inf	(.f64 (neg.f64 (sqrt.f64 (.f64 2 (fma.f64 B B (.f64 A (.f64 C -4)))))) (/.f64 1 (fma.f64 B B (.f64 A (.f64 C -4)))))

rewrite95.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

534×	`add-sqr-sqrt`
518×	`*-un-lft-identity`
516×	`pow1`
488×	`add-exp-log`
488×	`add-cbrt-cube`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	96
1	530	92
2	6900	92

Stop Event

1×	node limit

Counts

2 → 53

Calls

Call 1

Inputs
(.f64 (neg.f64 (sqrt.f64 (.f64 2 (fma.f64 B B (.f64 A (.f64 C -4)))))) (/.f64 1 (fma.f64 B B (.f64 A (.f64 C -4)))))
(sqrt.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (sqrt.f64 (*.f64 2 (fma.f64 B B (*.f64 A (*.f64 C -4))))) (fma.f64 B B (*.f64 A (*.f64 C -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 (*.f64 2 (fma.f64 B B (*.f64 A (*.f64 C -4))))) (fma.f64 B B (*.f64 A (*.f64 C -4)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (fma.f64 B B (*.f64 A (*.f64 C -4)))) (/.f64 (sqrt.f64 (*.f64 2 (fma.f64 B B (*.f64 A (*.f64 C -4))))) (fma.f64 B B (*.f64 A (*.f64 C -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 2 (fma.f64 B B (*.f64 A (*.f64 C -4))))) (fma.f64 B B (*.f64 A (*.f64 C -4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 2 (fma.f64 B B (*.f64 A (*.f64 C -4))))) (neg.f64 (fma.f64 B B (*.f64 A (*.f64 C -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 B B (*.f64 A (*.f64 C -4))) (sqrt.f64 (*.f64 2 (fma.f64 B B (*.f64 A (*.f64 C -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (*.f64 2 (fma.f64 B B (*.f64 A (*.f64 C -4)))) 1/4) (/.f64 (fma.f64 B B (*.f64 A (*.f64 C -4))) (pow.f64 (*.f64 2 (fma.f64 B B (*.f64 A (*.f64 C -4)))) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 2 (fma.f64 B B (*.f64 A (*.f64 C -4))))) (/.f64 (fma.f64 B B (*.f64 A (*.f64 C -4))) (cbrt.f64 (sqrt.f64 (*.f64 2 (fma.f64 B B (*.f64 A (*.f64 C -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (fma.f64 B B (*.f64 A (*.f64 C -4))) (sqrt.f64 (*.f64 2 (fma.f64 B B (*.f64 A (*.f64 C -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sqrt.f64 (*.f64 2 (fma.f64 B B (*.f64 A (*.f64 C -4))))) 1) (fma.f64 B B (*.f64 A (*.f64 C -4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sqrt.f64 (*.f64 2 (fma.f64 B B (*.f64 A (*.f64 C -4))))) (hypot.f64 B (sqrt.f64 (*.f64 A (*.f64 C -4))))) (hypot.f64 B (sqrt.f64 (*.f64 A (*.f64 C -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sqrt.f64 (*.f64 2 (fma.f64 B B (*.f64 A (*.f64 C -4))))) (cbrt.f64 (pow.f64 (fma.f64 B B (*.f64 A (*.f64 C -4))) 2))) (cbrt.f64 (fma.f64 B B (*.f64 A (*.f64 C -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (*.f64 2 (fma.f64 B B (*.f64 A (*.f64 C -4))))) (fma.f64 B B (*.f64 A (*.f64 C -4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 2 (fma.f64 B B (*.f64 A (*.f64 C -4)))) 1/4) (hypot.f64 B (sqrt.f64 (*.f64 A (*.f64 C -4))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 2 (fma.f64 B B (*.f64 A (*.f64 C -4))))) (fma.f64 B B (*.f64 A (*.f64 C -4))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 2 (fma.f64 B B (*.f64 A (*.f64 C -4))))) (fma.f64 B B (*.f64 A (*.f64 C -4)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sqrt.f64 (*.f64 2 (fma.f64 B B (*.f64 A (*.f64 C -4))))) (fma.f64 B B (*.f64 A (*.f64 C -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 2 (fma.f64 B B (*.f64 A (*.f64 C -4)))) (pow.f64 (fma.f64 B B (*.f64 A (*.f64 C -4))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sqrt.f64 (*.f64 2 (fma.f64 B B (*.f64 A (*.f64 C -4))))) (fma.f64 B B (*.f64 A (*.f64 C -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (*.f64 2 (fma.f64 B B (*.f64 A (*.f64 C -4))))) (fma.f64 B B (*.f64 A (*.f64 C -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 2 (fma.f64 B B (*.f64 A (*.f64 C -4))))) (fma.f64 B B (*.f64 A (*.f64 C -4)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 2 (fma.f64 B B (*.f64 A (*.f64 C -4)))) 3/2) (pow.f64 (/.f64 1 (fma.f64 B B (*.f64 A (*.f64 C -4)))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (fma.f64 B B (*.f64 A (*.f64 C -4)))) 3) (pow.f64 (*.f64 2 (fma.f64 B B (*.f64 A (*.f64 C -4)))) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 2 (fma.f64 B B (*.f64 A (*.f64 C -4)))) 3/2) (pow.f64 (fma.f64 B B (*.f64 A (*.f64 C -4))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (*.f64 2 (fma.f64 B B (*.f64 A (*.f64 C -4))))) (fma.f64 B B (*.f64 A (*.f64 C -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 2 (fma.f64 B B (*.f64 A (*.f64 C -4))))) (fma.f64 B B (*.f64 A (*.f64 C -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 2 (fma.f64 B B (*.f64 A (*.f64 C -4))))) (fma.f64 B B (*.f64 A (*.f64 C -4))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (*.f64 2 (fma.f64 B B (*.f64 A (*.f64 C -4))))) (fma.f64 B B (*.f64 A (*.f64 C -4))))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))) (sqrt.f64 F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))) 1/4) (pow.f64 (*.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 F) (sqrt.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))) (cbrt.f64 (sqrt.f64 (*.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))) (cbrt.f64 (*.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))) 2))) (sqrt.f64 (cbrt.f64 (*.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))) 2)) 1/2) (pow.f64 (cbrt.f64 (*.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))))))))

simplify207.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1668×	`associate-*r/`
942×	`+-commutative`
912×	`associate-r`
782×	`*-commutative`
598×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	525	11397
1	1513	10205
2	6290	10205

Stop Event

1×	node limit

Counts

93 → 198

Calls

Call 1

Inputs
(.f64 -1 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1/4)) (sqrt.f64 (/.f64 1 (.f64 A C)))))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1/4)) (sqrt.f64 (/.f64 1 (.f64 A C))))) (.f64 1/32 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 A 3) (pow.f64 C 3)))) (/.f64 (.f64 (sqrt.f64 2) (pow.f64 B 2)) (sqrt.f64 -1/4)))))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1/4)) (sqrt.f64 (/.f64 1 (.f64 A C))))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (.f64 A C)) (/.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 (.f64 -1/32 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 A 3) (pow.f64 C 3)))) (/.f64 1 (sqrt.f64 -1/4)))) 2) (.f64 1/64 (/.f64 1 (.f64 (pow.f64 A 3) (pow.f64 C 3))))) (pow.f64 B 4))) (sqrt.f64 -1/4)))) (.f64 1/32 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 A 3) (pow.f64 C 3)))) (/.f64 (.f64 (sqrt.f64 2) (pow.f64 B 2)) (sqrt.f64 -1/4))))))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1/4)) (sqrt.f64 (/.f64 1 (.f64 A C))))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (.f64 A C)) (/.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 (.f64 -1/32 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 A 3) (pow.f64 C 3)))) (/.f64 1 (sqrt.f64 -1/4)))) 2) (.f64 1/64 (/.f64 1 (.f64 (pow.f64 A 3) (pow.f64 C 3))))) (pow.f64 B 4))) (sqrt.f64 -1/4)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (.f64 A C)) (/.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 1/256 (/.f64 1 (.f64 (pow.f64 A 4) (pow.f64 C 4)))) (.f64 1/32 (/.f64 (+.f64 (pow.f64 (.f64 -1/32 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 A 3) (pow.f64 C 3)))) (/.f64 1 (sqrt.f64 -1/4)))) 2) (.f64 1/64 (/.f64 1 (.f64 (pow.f64 A 3) (pow.f64 C 3))))) (.f64 A (.f64 (pow.f64 (sqrt.f64 -1/4) 2) C))))) (pow.f64 B 6))) (sqrt.f64 -1/4)))) (.f64 1/32 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 A 3) (pow.f64 C 3)))) (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 B 2)) (sqrt.f64 -1/4)))))))
(*.f64 -1 (/.f64 (sqrt.f64 2) B))
(+.f64 (.f64 -2 (/.f64 (.f64 (sqrt.f64 2) (.f64 A C)) (pow.f64 B 3))) (.f64 -1 (/.f64 (sqrt.f64 2) B)))
(+.f64 (.f64 -2 (/.f64 (.f64 (sqrt.f64 2) (.f64 A C)) (pow.f64 B 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -16 (.f64 (pow.f64 A 2) (pow.f64 C 2))) (pow.f64 (.f64 2 (.f64 A C)) 2))) (pow.f64 B 5))) (.f64 -1 (/.f64 (sqrt.f64 2) B))))
(+.f64 (.f64 -2 (/.f64 (.f64 (sqrt.f64 2) (.f64 A C)) (pow.f64 B 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -2 (.f64 A (.f64 C (+.f64 (.f64 -16 (.f64 (pow.f64 A 2) (pow.f64 C 2))) (pow.f64 (.f64 2 (.f64 A C)) 2))))) (.f64 -64 (.f64 (pow.f64 A 3) (pow.f64 C 3))))) (pow.f64 B 7))) (+.f64 (.f64 1/2 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -16 (.f64 (pow.f64 A 2) (pow.f64 C 2))) (pow.f64 (.f64 2 (.f64 A C)) 2))) (pow.f64 B 5))) (*.f64 -1 (/.f64 (sqrt.f64 2) B)))))
(/.f64 (sqrt.f64 2) B)
(+.f64 (/.f64 (sqrt.f64 2) B) (.f64 2 (/.f64 (.f64 (sqrt.f64 2) (*.f64 A C)) (pow.f64 B 3))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -16 (.f64 (pow.f64 A 2) (pow.f64 C 2))) (pow.f64 (.f64 2 (.f64 A C)) 2))) (pow.f64 B 5))) (+.f64 (/.f64 (sqrt.f64 2) B) (.f64 2 (/.f64 (.f64 (sqrt.f64 2) (*.f64 A C)) (pow.f64 B 3)))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -16 (.f64 (pow.f64 A 2) (pow.f64 C 2))) (pow.f64 (.f64 2 (.f64 A C)) 2))) (pow.f64 B 5))) (+.f64 (/.f64 (sqrt.f64 2) B) (+.f64 (.f64 2 (/.f64 (.f64 (sqrt.f64 2) (.f64 A C)) (pow.f64 B 3))) (.f64 -1/2 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -2 (.f64 A (.f64 C (+.f64 (.f64 -16 (.f64 (pow.f64 A 2) (pow.f64 C 2))) (pow.f64 (.f64 2 (.f64 A C)) 2))))) (.f64 -64 (.f64 (pow.f64 A 3) (pow.f64 C 3))))) (pow.f64 B 7))))))
(*.f64 -1 (/.f64 (sqrt.f64 2) B))
(+.f64 (.f64 -2 (/.f64 (.f64 (sqrt.f64 2) (.f64 A C)) (pow.f64 B 3))) (.f64 -1 (/.f64 (sqrt.f64 2) B)))
(+.f64 (.f64 -2 (/.f64 (.f64 (sqrt.f64 2) (.f64 A C)) (pow.f64 B 3))) (+.f64 (.f64 1/2 (.f64 (pow.f64 A 2) (.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 (.f64 2 (/.f64 C (pow.f64 B 3))) 2) (.f64 -16 (/.f64 (pow.f64 C 2) (pow.f64 B 6)))) B)))) (.f64 -1 (/.f64 (sqrt.f64 2) B))))
(+.f64 (.f64 -2 (/.f64 (.f64 (sqrt.f64 2) (.f64 A C)) (pow.f64 B 3))) (+.f64 (.f64 1/2 (.f64 (pow.f64 A 3) (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 -2 (/.f64 (.f64 (+.f64 (pow.f64 (.f64 2 (/.f64 C (pow.f64 B 3))) 2) (.f64 -16 (/.f64 (pow.f64 C 2) (pow.f64 B 6)))) C) (pow.f64 B 2))) (.f64 -64 (/.f64 (pow.f64 C 3) (pow.f64 B 8)))) B)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 A 2) (.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 (.f64 2 (/.f64 C (pow.f64 B 3))) 2) (.f64 -16 (/.f64 (pow.f64 C 2) (pow.f64 B 6)))) B)))) (*.f64 -1 (/.f64 (sqrt.f64 2) B)))))
(*.f64 -1 (/.f64 (sqrt.f64 2) B))
(+.f64 (.f64 -2 (/.f64 (.f64 A (.f64 (sqrt.f64 2) C)) (pow.f64 B 3))) (.f64 -1 (/.f64 (sqrt.f64 2) B)))
(+.f64 (.f64 -2 (/.f64 (.f64 A (.f64 (sqrt.f64 2) C)) (pow.f64 B 3))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 (.f64 2 (/.f64 A (pow.f64 B 3))) 2) (.f64 -16 (/.f64 (pow.f64 A 2) (pow.f64 B 6)))) (.f64 (pow.f64 C 2) B)))) (.f64 -1 (/.f64 (sqrt.f64 2) B))))
(+.f64 (.f64 -2 (/.f64 (.f64 A (.f64 (sqrt.f64 2) C)) (pow.f64 B 3))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 C 3) (.f64 (+.f64 (.f64 -64 (/.f64 (pow.f64 A 3) (pow.f64 B 8))) (.f64 -2 (/.f64 (.f64 A (+.f64 (pow.f64 (.f64 2 (/.f64 A (pow.f64 B 3))) 2) (.f64 -16 (/.f64 (pow.f64 A 2) (pow.f64 B 6))))) (pow.f64 B 2)))) B)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 (.f64 2 (/.f64 A (pow.f64 B 3))) 2) (.f64 -16 (/.f64 (pow.f64 A 2) (pow.f64 B 6)))) (.f64 (pow.f64 C 2) B)))) (*.f64 -1 (/.f64 (sqrt.f64 2) B)))))
(sqrt.f64 (*.f64 (-.f64 C (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))) F))
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(.f64 (pow.f64 (.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))) 1/4) (pow.f64 (*.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))) 1/4))
(*.f64 (sqrt.f64 F) (sqrt.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))
(.f64 (cbrt.f64 (.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))) (cbrt.f64 (sqrt.f64 (*.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))) (cbrt.f64 (*.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))))
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))) 2))) (sqrt.f64 (cbrt.f64 (*.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))) 2)) 1/2) (pow.f64 (cbrt.f64 (*.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))) 1/2))
(pow.f64 (*.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))) 1/2)
(pow.f64 (sqrt.f64 (*.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))) 1)
(pow.f64 (pow.f64 (*.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))) 3)
(pow.f64 (pow.f64 (*.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (*.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))))))
(cbrt.f64 (pow.f64 (*.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))))
(exp.f64 (.f64 (log.f64 (.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))) 1/2))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))))

Outputs
(.f64 -1 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1/4)) (sqrt.f64 (/.f64 1 (.f64 A C)))))
(neg.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1/4) (sqrt.f64 (/.f64 1 (*.f64 A C))))))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1/4)) (neg.f64 (sqrt.f64 (/.f64 1 (*.f64 A C)))))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1/4)) (sqrt.f64 (/.f64 1 (.f64 A C))))) (.f64 1/32 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 A 3) (pow.f64 C 3)))) (/.f64 (.f64 (sqrt.f64 2) (pow.f64 B 2)) (sqrt.f64 -1/4)))))
(fma.f64 -1 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1/4) (sqrt.f64 (/.f64 1 (.f64 A C))))) (.f64 1/32 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 A 3) (pow.f64 C 3)))) (/.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 -1/4) (*.f64 B B))))))
(fma.f64 1/32 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 A 3) (pow.f64 C 3)))) (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -1/4)) (.f64 B B))) (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1/4)) (neg.f64 (sqrt.f64 (/.f64 1 (*.f64 A C))))))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1/4)) (sqrt.f64 (/.f64 1 (.f64 A C))))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (.f64 A C)) (/.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 (.f64 -1/32 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 A 3) (pow.f64 C 3)))) (/.f64 1 (sqrt.f64 -1/4)))) 2) (.f64 1/64 (/.f64 1 (.f64 (pow.f64 A 3) (pow.f64 C 3))))) (pow.f64 B 4))) (sqrt.f64 -1/4)))) (.f64 1/32 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 A 3) (pow.f64 C 3)))) (/.f64 (.f64 (sqrt.f64 2) (pow.f64 B 2)) (sqrt.f64 -1/4))))))
(fma.f64 -1 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1/4) (sqrt.f64 (/.f64 1 (.f64 A C))))) (fma.f64 1/2 (.f64 (sqrt.f64 (.f64 A C)) (/.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 -1/4) (.f64 (+.f64 (pow.f64 (.f64 (.f64 -1/32 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 A 3) (pow.f64 C 3))))) (/.f64 1 (sqrt.f64 -1/4))) 2) (/.f64 1/64 (.f64 (pow.f64 A 3) (pow.f64 C 3)))) (pow.f64 B 4))))) (.f64 1/32 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 A 3) (pow.f64 C 3)))) (/.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 -1/4) (.f64 B B)))))))
(-.f64 (fma.f64 1/32 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 A 3) (pow.f64 C 3)))) (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -1/4)) (.f64 B B))) (.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 (sqrt.f64 -1/4) (pow.f64 B 4)) (+.f64 (pow.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 A 3) (pow.f64 C 3)))) -1/32) (sqrt.f64 -1/4)) 2) (/.f64 (/.f64 1/64 (pow.f64 C 3)) (pow.f64 A 3))))) (.f64 1/2 (sqrt.f64 (.f64 A C))))) (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1/4) (sqrt.f64 (/.f64 1 (.f64 A C))))))
(-.f64 (fma.f64 1/32 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 A 3) (pow.f64 C 3)))) (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -1/4)) (.f64 B B))) (.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 (sqrt.f64 -1/4) (pow.f64 B 4)) (+.f64 (pow.f64 (.f64 (/.f64 -1/32 (sqrt.f64 -1/4)) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 A 3) (pow.f64 C 3))))) 2) (/.f64 (/.f64 1/64 (pow.f64 C 3)) (pow.f64 A 3))))) (.f64 1/2 (sqrt.f64 (.f64 A C))))) (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1/4) (sqrt.f64 (/.f64 1 (.f64 A C))))))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1/4)) (sqrt.f64 (/.f64 1 (.f64 A C))))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (.f64 A C)) (/.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 (.f64 -1/32 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 A 3) (pow.f64 C 3)))) (/.f64 1 (sqrt.f64 -1/4)))) 2) (.f64 1/64 (/.f64 1 (.f64 (pow.f64 A 3) (pow.f64 C 3))))) (pow.f64 B 4))) (sqrt.f64 -1/4)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (.f64 A C)) (/.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 1/256 (/.f64 1 (.f64 (pow.f64 A 4) (pow.f64 C 4)))) (.f64 1/32 (/.f64 (+.f64 (pow.f64 (.f64 -1/32 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 A 3) (pow.f64 C 3)))) (/.f64 1 (sqrt.f64 -1/4)))) 2) (.f64 1/64 (/.f64 1 (.f64 (pow.f64 A 3) (pow.f64 C 3))))) (.f64 A (.f64 (pow.f64 (sqrt.f64 -1/4) 2) C))))) (pow.f64 B 6))) (sqrt.f64 -1/4)))) (.f64 1/32 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 A 3) (pow.f64 C 3)))) (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 B 2)) (sqrt.f64 -1/4)))))))
(fma.f64 -1 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1/4) (sqrt.f64 (/.f64 1 (.f64 A C))))) (fma.f64 1/2 (.f64 (sqrt.f64 (.f64 A C)) (/.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 -1/4) (.f64 (+.f64 (pow.f64 (.f64 (.f64 -1/32 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 A 3) (pow.f64 C 3))))) (/.f64 1 (sqrt.f64 -1/4))) 2) (/.f64 1/64 (.f64 (pow.f64 A 3) (pow.f64 C 3)))) (pow.f64 B 4))))) (fma.f64 1/2 (.f64 (sqrt.f64 (.f64 A C)) (/.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 -1/4) (.f64 (+.f64 (/.f64 1/256 (.f64 (pow.f64 A 4) (pow.f64 C 4))) (.f64 1/32 (/.f64 (+.f64 (pow.f64 (.f64 (.f64 -1/32 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 A 3) (pow.f64 C 3))))) (/.f64 1 (sqrt.f64 -1/4))) 2) (/.f64 1/64 (.f64 (pow.f64 A 3) (pow.f64 C 3)))) (.f64 A (.f64 C (pow.f64 (sqrt.f64 -1/4) 2)))))) (pow.f64 B 6))))) (.f64 1/32 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 A 3) (pow.f64 C 3)))) (/.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 -1/4) (*.f64 B B))))))))
(+.f64 (.f64 (.f64 1/2 (sqrt.f64 (.f64 A C))) (+.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 (sqrt.f64 -1/4) (pow.f64 B 4)) (+.f64 (pow.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 A 3) (pow.f64 C 3)))) -1/32) (sqrt.f64 -1/4)) 2) (/.f64 (/.f64 1/64 (pow.f64 C 3)) (pow.f64 A 3))))) (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -1/4)) (.f64 (fma.f64 1/32 (/.f64 (+.f64 (pow.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 A 3) (pow.f64 C 3)))) -1/32) (sqrt.f64 -1/4)) 2) (/.f64 (/.f64 1/64 (pow.f64 C 3)) (pow.f64 A 3))) (.f64 -1/4 (.f64 A C))) (/.f64 1/256 (.f64 (pow.f64 A 4) (pow.f64 C 4)))) (pow.f64 B 6))))) (fma.f64 1/32 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 A 3) (pow.f64 C 3)))) (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -1/4)) (.f64 B B))) (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1/4)) (neg.f64 (sqrt.f64 (/.f64 1 (*.f64 A C)))))))
(+.f64 (fma.f64 1/32 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 A 3) (pow.f64 C 3)))) (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -1/4)) (.f64 B B))) (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1/4)) (neg.f64 (sqrt.f64 (/.f64 1 (.f64 A C)))))) (.f64 (.f64 1/2 (sqrt.f64 (.f64 A C))) (+.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 (sqrt.f64 -1/4) (pow.f64 B 4)) (+.f64 (pow.f64 (.f64 (/.f64 -1/32 (sqrt.f64 -1/4)) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 A 3) (pow.f64 C 3))))) 2) (/.f64 (/.f64 1/64 (pow.f64 C 3)) (pow.f64 A 3))))) (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -1/4)) (.f64 (fma.f64 1/32 (/.f64 (+.f64 (pow.f64 (.f64 (/.f64 -1/32 (sqrt.f64 -1/4)) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 A 3) (pow.f64 C 3))))) 2) (/.f64 (/.f64 1/64 (pow.f64 C 3)) (pow.f64 A 3))) (.f64 -1/4 (.f64 A C))) (/.f64 1/256 (*.f64 (pow.f64 A 4) (pow.f64 C 4)))) (pow.f64 B 6))))))
(*.f64 -1 (/.f64 (sqrt.f64 2) B))
(neg.f64 (/.f64 (sqrt.f64 2) B))
(/.f64 (neg.f64 (sqrt.f64 2)) B)
(+.f64 (.f64 -2 (/.f64 (.f64 (sqrt.f64 2) (.f64 A C)) (pow.f64 B 3))) (.f64 -1 (/.f64 (sqrt.f64 2) B)))
(fma.f64 -2 (/.f64 (sqrt.f64 2) (/.f64 (pow.f64 B 3) (*.f64 A C))) (neg.f64 (/.f64 (sqrt.f64 2) B)))
(-.f64 (.f64 -2 (.f64 (/.f64 A (pow.f64 B 3)) (*.f64 (sqrt.f64 2) C))) (/.f64 (sqrt.f64 2) B))
(+.f64 (.f64 -2 (/.f64 (.f64 (sqrt.f64 2) (.f64 A C)) (pow.f64 B 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -16 (.f64 (pow.f64 A 2) (pow.f64 C 2))) (pow.f64 (.f64 2 (.f64 A C)) 2))) (pow.f64 B 5))) (.f64 -1 (/.f64 (sqrt.f64 2) B))))
(fma.f64 -2 (/.f64 (sqrt.f64 2) (/.f64 (pow.f64 B 3) (.f64 A C))) (fma.f64 1/2 (/.f64 (sqrt.f64 2) (/.f64 (pow.f64 B 5) (fma.f64 -16 (.f64 (.f64 A A) (.f64 C C)) (pow.f64 (.f64 2 (.f64 A C)) 2)))) (neg.f64 (/.f64 (sqrt.f64 2) B))))
(fma.f64 -2 (.f64 (/.f64 A (pow.f64 B 3)) (.f64 (sqrt.f64 2) C)) (fma.f64 1/2 (.f64 (/.f64 (sqrt.f64 2) (pow.f64 B 5)) (fma.f64 -16 (.f64 A (.f64 A (.f64 C C))) (pow.f64 (.f64 2 (.f64 A C)) 2))) (/.f64 (neg.f64 (sqrt.f64 2)) B)))
(+.f64 (.f64 -2 (/.f64 (.f64 (sqrt.f64 2) (.f64 A C)) (pow.f64 B 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -2 (.f64 A (.f64 C (+.f64 (.f64 -16 (.f64 (pow.f64 A 2) (pow.f64 C 2))) (pow.f64 (.f64 2 (.f64 A C)) 2))))) (.f64 -64 (.f64 (pow.f64 A 3) (pow.f64 C 3))))) (pow.f64 B 7))) (+.f64 (.f64 1/2 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -16 (.f64 (pow.f64 A 2) (pow.f64 C 2))) (pow.f64 (.f64 2 (.f64 A C)) 2))) (pow.f64 B 5))) (*.f64 -1 (/.f64 (sqrt.f64 2) B)))))
(fma.f64 -2 (/.f64 (sqrt.f64 2) (/.f64 (pow.f64 B 3) (.f64 A C))) (fma.f64 1/2 (/.f64 (sqrt.f64 2) (/.f64 (pow.f64 B 7) (fma.f64 -2 (.f64 A (.f64 C (fma.f64 -16 (.f64 (.f64 A A) (.f64 C C)) (pow.f64 (.f64 2 (.f64 A C)) 2)))) (.f64 (.f64 (pow.f64 A 3) (pow.f64 C 3)) -64)))) (fma.f64 1/2 (/.f64 (sqrt.f64 2) (/.f64 (pow.f64 B 5) (fma.f64 -16 (.f64 (.f64 A A) (.f64 C C)) (pow.f64 (.f64 2 (*.f64 A C)) 2)))) (neg.f64 (/.f64 (sqrt.f64 2) B)))))
(fma.f64 -2 (.f64 (/.f64 A (pow.f64 B 3)) (.f64 (sqrt.f64 2) C)) (-.f64 (.f64 1/2 (+.f64 (.f64 (/.f64 (sqrt.f64 2) (pow.f64 B 7)) (fma.f64 (.f64 A -2) (.f64 C (fma.f64 -16 (.f64 A (.f64 A (.f64 C C))) (pow.f64 (.f64 2 (.f64 A C)) 2))) (.f64 (pow.f64 A 3) (.f64 (pow.f64 C 3) -64)))) (.f64 (/.f64 (sqrt.f64 2) (pow.f64 B 5)) (fma.f64 -16 (.f64 A (.f64 A (.f64 C C))) (pow.f64 (.f64 2 (*.f64 A C)) 2))))) (/.f64 (sqrt.f64 2) B)))
(fma.f64 -2 (.f64 (/.f64 A (pow.f64 B 3)) (.f64 (sqrt.f64 2) C)) (-.f64 (.f64 1/2 (+.f64 (.f64 (/.f64 (sqrt.f64 2) (pow.f64 B 5)) (fma.f64 -16 (.f64 A (.f64 A (.f64 C C))) (pow.f64 (.f64 2 (.f64 A C)) 2))) (.f64 (/.f64 (sqrt.f64 2) (pow.f64 B 7)) (fma.f64 (.f64 A -2) (.f64 C (fma.f64 -16 (.f64 A (.f64 A (.f64 C C))) (pow.f64 (.f64 2 (.f64 A C)) 2))) (.f64 (pow.f64 A 3) (*.f64 (pow.f64 C 3) -64)))))) (/.f64 (sqrt.f64 2) B)))
(/.f64 (sqrt.f64 2) B)
(+.f64 (/.f64 (sqrt.f64 2) B) (.f64 2 (/.f64 (.f64 (sqrt.f64 2) (*.f64 A C)) (pow.f64 B 3))))
(+.f64 (/.f64 (sqrt.f64 2) B) (.f64 2 (/.f64 (sqrt.f64 2) (/.f64 (pow.f64 B 3) (.f64 A C)))))
(fma.f64 2 (.f64 (/.f64 A (pow.f64 B 3)) (.f64 (sqrt.f64 2) C)) (/.f64 (sqrt.f64 2) B))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -16 (.f64 (pow.f64 A 2) (pow.f64 C 2))) (pow.f64 (.f64 2 (.f64 A C)) 2))) (pow.f64 B 5))) (+.f64 (/.f64 (sqrt.f64 2) B) (.f64 2 (/.f64 (.f64 (sqrt.f64 2) (*.f64 A C)) (pow.f64 B 3)))))
(fma.f64 -1/2 (/.f64 (sqrt.f64 2) (/.f64 (pow.f64 B 5) (fma.f64 -16 (.f64 (.f64 A A) (.f64 C C)) (pow.f64 (.f64 2 (.f64 A C)) 2)))) (+.f64 (/.f64 (sqrt.f64 2) B) (.f64 2 (/.f64 (sqrt.f64 2) (/.f64 (pow.f64 B 3) (*.f64 A C))))))
(fma.f64 (.f64 (/.f64 (sqrt.f64 2) (pow.f64 B 5)) (fma.f64 -16 (.f64 A (.f64 A (.f64 C C))) (pow.f64 (.f64 2 (.f64 A C)) 2))) -1/2 (fma.f64 2 (.f64 (/.f64 A (pow.f64 B 3)) (.f64 (sqrt.f64 2) C)) (/.f64 (sqrt.f64 2) B)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -16 (.f64 (pow.f64 A 2) (pow.f64 C 2))) (pow.f64 (.f64 2 (.f64 A C)) 2))) (pow.f64 B 5))) (+.f64 (/.f64 (sqrt.f64 2) B) (+.f64 (.f64 2 (/.f64 (.f64 (sqrt.f64 2) (.f64 A C)) (pow.f64 B 3))) (.f64 -1/2 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -2 (.f64 A (.f64 C (+.f64 (.f64 -16 (.f64 (pow.f64 A 2) (pow.f64 C 2))) (pow.f64 (.f64 2 (.f64 A C)) 2))))) (.f64 -64 (.f64 (pow.f64 A 3) (pow.f64 C 3))))) (pow.f64 B 7))))))
(fma.f64 -1/2 (/.f64 (sqrt.f64 2) (/.f64 (pow.f64 B 5) (fma.f64 -16 (.f64 (.f64 A A) (.f64 C C)) (pow.f64 (.f64 2 (.f64 A C)) 2)))) (+.f64 (/.f64 (sqrt.f64 2) B) (fma.f64 2 (/.f64 (sqrt.f64 2) (/.f64 (pow.f64 B 3) (.f64 A C))) (.f64 (/.f64 (sqrt.f64 2) (/.f64 (pow.f64 B 7) (fma.f64 -2 (.f64 A (.f64 C (fma.f64 -16 (.f64 (.f64 A A) (.f64 C C)) (pow.f64 (.f64 2 (.f64 A C)) 2)))) (.f64 (.f64 (pow.f64 A 3) (pow.f64 C 3)) -64)))) -1/2))))
(+.f64 (fma.f64 (.f64 (/.f64 (sqrt.f64 2) (pow.f64 B 5)) (fma.f64 -16 (.f64 A (.f64 A (.f64 C C))) (pow.f64 (.f64 2 (.f64 A C)) 2))) -1/2 (fma.f64 2 (.f64 (/.f64 A (pow.f64 B 3)) (.f64 (sqrt.f64 2) C)) (/.f64 (sqrt.f64 2) B))) (/.f64 (.f64 (.f64 -1/2 (sqrt.f64 2)) (fma.f64 (.f64 A -2) (.f64 C (fma.f64 -16 (.f64 A (.f64 A (.f64 C C))) (pow.f64 (.f64 2 (.f64 A C)) 2))) (.f64 (pow.f64 A 3) (*.f64 (pow.f64 C 3) -64)))) (pow.f64 B 7)))
(*.f64 -1 (/.f64 (sqrt.f64 2) B))
(neg.f64 (/.f64 (sqrt.f64 2) B))
(/.f64 (neg.f64 (sqrt.f64 2)) B)
(+.f64 (.f64 -2 (/.f64 (.f64 (sqrt.f64 2) (.f64 A C)) (pow.f64 B 3))) (.f64 -1 (/.f64 (sqrt.f64 2) B)))
(fma.f64 -2 (/.f64 (sqrt.f64 2) (/.f64 (pow.f64 B 3) (*.f64 A C))) (neg.f64 (/.f64 (sqrt.f64 2) B)))
(-.f64 (.f64 -2 (.f64 (/.f64 A (pow.f64 B 3)) (*.f64 (sqrt.f64 2) C))) (/.f64 (sqrt.f64 2) B))
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(pow.f64 (/.f64 (pow.f64 (.f64 2 (fma.f64 B B (.f64 (.f64 A C) -4))) 1/4) (hypot.f64 B (sqrt.f64 (.f64 (*.f64 A C) -4)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 2 (fma.f64 B B (.f64 A (.f64 C -4))))) (fma.f64 B B (.f64 A (*.f64 C -4))))) 3)
(/.f64 (sqrt.f64 (.f64 2 (fma.f64 B B (.f64 (.f64 A C) -4)))) (fma.f64 B B (.f64 (*.f64 A C) -4)))
(/.f64 (sqrt.f64 (.f64 2 (fma.f64 B B (.f64 A (.f64 C -4))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 2 (fma.f64 B B (.f64 A (.f64 C -4))))) (fma.f64 B B (.f64 A (*.f64 C -4)))) 3) 1/3)
(/.f64 (sqrt.f64 (.f64 2 (fma.f64 B B (.f64 (.f64 A C) -4)))) (fma.f64 B B (.f64 (*.f64 A C) -4)))
(/.f64 (sqrt.f64 (.f64 2 (fma.f64 B B (.f64 A (.f64 C -4))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
(neg.f64 (/.f64 (sqrt.f64 (.f64 2 (fma.f64 B B (.f64 A (.f64 C -4))))) (fma.f64 B B (.f64 A (*.f64 C -4)))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (fma.f64 B B (.f64 (.f64 A C) -4))))) (fma.f64 B B (.f64 (*.f64 A C) -4)))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (fma.f64 B B (.f64 A (.f64 C -4)))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
(sqrt.f64 (.f64 (.f64 2 (fma.f64 B B (.f64 A (.f64 C -4)))) (pow.f64 (fma.f64 B B (.f64 A (.f64 C -4))) -2)))
(sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) (pow.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) -2))))
(sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (pow.f64 (fma.f64 B B (.f64 A (.f64 C -4))) -2))))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 (.f64 2 (fma.f64 B B (.f64 A (.f64 C -4))))) (fma.f64 B B (.f64 A (*.f64 C -4))))))
(/.f64 (sqrt.f64 (.f64 2 (fma.f64 B B (.f64 (.f64 A C) -4)))) (fma.f64 B B (.f64 (*.f64 A C) -4)))
(/.f64 (sqrt.f64 (.f64 2 (fma.f64 B B (.f64 A (.f64 C -4))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (.f64 2 (fma.f64 B B (.f64 A (.f64 C -4))))) (fma.f64 B B (.f64 A (*.f64 C -4)))))))
(/.f64 (sqrt.f64 (.f64 2 (fma.f64 B B (.f64 (.f64 A C) -4)))) (fma.f64 B B (.f64 (*.f64 A C) -4)))
(/.f64 (sqrt.f64 (.f64 2 (fma.f64 B B (.f64 A (.f64 C -4))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 2 (fma.f64 B B (.f64 A (.f64 C -4))))) (fma.f64 B B (.f64 A (*.f64 C -4)))) 3))
(/.f64 (sqrt.f64 (.f64 2 (fma.f64 B B (.f64 (.f64 A C) -4)))) (fma.f64 B B (.f64 (*.f64 A C) -4)))
(/.f64 (sqrt.f64 (.f64 2 (fma.f64 B B (.f64 A (.f64 C -4))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
(cbrt.f64 (.f64 (pow.f64 (.f64 2 (fma.f64 B B (.f64 A (.f64 C -4)))) 3/2) (pow.f64 (/.f64 1 (fma.f64 B B (.f64 A (.f64 C -4)))) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 2 (fma.f64 B B (.f64 (.f64 A C) -4))) 3/2) (/.f64 1 (pow.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) 3))))
(cbrt.f64 (.f64 (pow.f64 (.f64 2 (fma.f64 B B (.f64 A (.f64 C -4)))) 3/2) (/.f64 1 (pow.f64 (fma.f64 B B (.f64 A (.f64 C -4))) 3))))
(cbrt.f64 (.f64 (pow.f64 (/.f64 1 (fma.f64 B B (.f64 A (.f64 C -4)))) 3) (pow.f64 (.f64 2 (fma.f64 B B (.f64 A (.f64 C -4)))) 3/2)))
(cbrt.f64 (.f64 (pow.f64 (.f64 2 (fma.f64 B B (.f64 (.f64 A C) -4))) 3/2) (/.f64 1 (pow.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) 3))))
(cbrt.f64 (.f64 (pow.f64 (.f64 2 (fma.f64 B B (.f64 A (.f64 C -4)))) 3/2) (/.f64 1 (pow.f64 (fma.f64 B B (.f64 A (.f64 C -4))) 3))))
(cbrt.f64 (/.f64 (pow.f64 (.f64 2 (fma.f64 B B (.f64 A (.f64 C -4)))) 3/2) (pow.f64 (fma.f64 B B (.f64 A (*.f64 C -4))) 3)))
(cbrt.f64 (/.f64 (pow.f64 (.f64 2 (fma.f64 B B (.f64 (.f64 A C) -4))) 3/2) (pow.f64 (fma.f64 B B (.f64 (*.f64 A C) -4)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (.f64 2 (fma.f64 B B (.f64 A (.f64 C -4))))) (fma.f64 B B (.f64 A (*.f64 C -4))))))
(/.f64 (sqrt.f64 (.f64 2 (fma.f64 B B (.f64 (.f64 A C) -4)))) (fma.f64 B B (.f64 (*.f64 A C) -4)))
(/.f64 (sqrt.f64 (.f64 2 (fma.f64 B B (.f64 A (.f64 C -4))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (.f64 2 (fma.f64 B B (.f64 A (.f64 C -4))))) (fma.f64 B B (.f64 A (*.f64 C -4))))))
(/.f64 (sqrt.f64 (.f64 2 (fma.f64 B B (.f64 (.f64 A C) -4)))) (fma.f64 B B (.f64 (*.f64 A C) -4)))
(/.f64 (sqrt.f64 (.f64 2 (fma.f64 B B (.f64 A (.f64 C -4))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
(exp.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 (.f64 2 (fma.f64 B B (.f64 A (.f64 C -4))))) (fma.f64 B B (.f64 A (.f64 C -4))))) 1))
(/.f64 (sqrt.f64 (.f64 2 (fma.f64 B B (.f64 (.f64 A C) -4)))) (fma.f64 B B (.f64 (*.f64 A C) -4)))
(/.f64 (sqrt.f64 (.f64 2 (fma.f64 B B (.f64 A (.f64 C -4))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (.f64 2 (fma.f64 B B (.f64 A (.f64 C -4))))) (fma.f64 B B (.f64 A (*.f64 C -4))))))
(/.f64 (sqrt.f64 (.f64 2 (fma.f64 B B (.f64 (.f64 A C) -4)))) (fma.f64 B B (.f64 (*.f64 A C) -4)))
(/.f64 (sqrt.f64 (.f64 2 (fma.f64 B B (.f64 A (.f64 C -4))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))))) 1)
(sqrt.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))
(sqrt.f64 (*.f64 F (+.f64 C (-.f64 A (hypot.f64 B (-.f64 A C))))))
(.f64 1 (sqrt.f64 (.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))))
(sqrt.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))
(sqrt.f64 (*.f64 F (+.f64 C (-.f64 A (hypot.f64 B (-.f64 A C))))))
(.f64 (sqrt.f64 (.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))) 1)
(sqrt.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))
(sqrt.f64 (*.f64 F (+.f64 C (-.f64 A (hypot.f64 B (-.f64 A C))))))
(*.f64 (sqrt.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))) (sqrt.f64 F))
(*.f64 (sqrt.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))) (sqrt.f64 F))
(*.f64 (sqrt.f64 (+.f64 C (-.f64 A (hypot.f64 B (-.f64 A C))))) (sqrt.f64 F))
(.f64 (pow.f64 (.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))) 1/4) (pow.f64 (*.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))) 1/4))
(sqrt.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))
(sqrt.f64 (*.f64 F (+.f64 C (-.f64 A (hypot.f64 B (-.f64 A C))))))
(*.f64 (sqrt.f64 F) (sqrt.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))
(*.f64 (sqrt.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))) (sqrt.f64 F))
(*.f64 (sqrt.f64 (+.f64 C (-.f64 A (hypot.f64 B (-.f64 A C))))) (sqrt.f64 F))
(.f64 (cbrt.f64 (.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))) (cbrt.f64 (sqrt.f64 (*.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))))
(.f64 (cbrt.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))) (cbrt.f64 (sqrt.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))))
(.f64 (cbrt.f64 (.f64 F (+.f64 C (-.f64 A (hypot.f64 B (-.f64 A C)))))) (cbrt.f64 (sqrt.f64 (*.f64 F (+.f64 C (-.f64 A (hypot.f64 B (-.f64 A C))))))))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))) (cbrt.f64 (*.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))))
(.f64 (cbrt.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))) (cbrt.f64 (sqrt.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))))
(.f64 (cbrt.f64 (.f64 F (+.f64 C (-.f64 A (hypot.f64 B (-.f64 A C)))))) (cbrt.f64 (sqrt.f64 (*.f64 F (+.f64 C (-.f64 A (hypot.f64 B (-.f64 A C))))))))
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))) 2))) (sqrt.f64 (cbrt.f64 (*.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))))
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))) 2))) (sqrt.f64 (cbrt.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))))
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (.f64 F (+.f64 C (-.f64 A (hypot.f64 B (-.f64 A C))))) 2))) (sqrt.f64 (cbrt.f64 (*.f64 F (+.f64 C (-.f64 A (hypot.f64 B (-.f64 A C))))))))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))))
(sqrt.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))
(sqrt.f64 (*.f64 F (+.f64 C (-.f64 A (hypot.f64 B (-.f64 A C))))))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))) 2)) 1/2) (pow.f64 (cbrt.f64 (*.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))) 1/2))
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))) 2))) (sqrt.f64 (cbrt.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))))
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (.f64 F (+.f64 C (-.f64 A (hypot.f64 B (-.f64 A C))))) 2))) (sqrt.f64 (cbrt.f64 (*.f64 F (+.f64 C (-.f64 A (hypot.f64 B (-.f64 A C))))))))
(pow.f64 (*.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))) 1/2)
(sqrt.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))
(sqrt.f64 (*.f64 F (+.f64 C (-.f64 A (hypot.f64 B (-.f64 A C))))))
(pow.f64 (sqrt.f64 (*.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))) 1)
(sqrt.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))
(sqrt.f64 (*.f64 F (+.f64 C (-.f64 A (hypot.f64 B (-.f64 A C))))))
(pow.f64 (pow.f64 (*.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))) 1/4) 2)
(sqrt.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))
(sqrt.f64 (*.f64 F (+.f64 C (-.f64 A (hypot.f64 B (-.f64 A C))))))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))) 3)
(sqrt.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))
(sqrt.f64 (*.f64 F (+.f64 C (-.f64 A (hypot.f64 B (-.f64 A C))))))
(pow.f64 (pow.f64 (*.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))) 3/2) 1/3)
(cbrt.f64 (pow.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))) 3/2))
(cbrt.f64 (pow.f64 (*.f64 F (+.f64 C (-.f64 A (hypot.f64 B (-.f64 A C))))) 3/2))
(fabs.f64 (sqrt.f64 (*.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))))
(sqrt.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))
(sqrt.f64 (*.f64 F (+.f64 C (-.f64 A (hypot.f64 B (-.f64 A C))))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))))
(sqrt.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))
(sqrt.f64 (*.f64 F (+.f64 C (-.f64 A (hypot.f64 B (-.f64 A C))))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))))))
(sqrt.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))
(sqrt.f64 (*.f64 F (+.f64 C (-.f64 A (hypot.f64 B (-.f64 A C))))))
(cbrt.f64 (pow.f64 (*.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))) 3/2))
(cbrt.f64 (pow.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))) 3/2))
(cbrt.f64 (pow.f64 (*.f64 F (+.f64 C (-.f64 A (hypot.f64 B (-.f64 A C))))) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))))
(sqrt.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))
(sqrt.f64 (*.f64 F (+.f64 C (-.f64 A (hypot.f64 B (-.f64 A C))))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))))
(sqrt.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))
(sqrt.f64 (*.f64 F (+.f64 C (-.f64 A (hypot.f64 B (-.f64 A C))))))
(exp.f64 (.f64 (log.f64 (.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))) 1/2))
(sqrt.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))
(sqrt.f64 (*.f64 F (+.f64 C (-.f64 A (hypot.f64 B (-.f64 A C))))))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))) 1))
(sqrt.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))
(sqrt.f64 (*.f64 F (+.f64 C (-.f64 A (hypot.f64 B (-.f64 A C))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))))
(sqrt.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))
(sqrt.f64 (*.f64 F (+.f64 C (-.f64 A (hypot.f64 B (-.f64 A C))))))

localize11.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	9.9b	(sqrt.f64 (neg.f64 (/.f64 F A)))

Compiler

Compiled 18 to 7 computations (61.1% saved)

series3.0ms (0%)

Counts

1 → 0

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	F	@	0	(sqrt.f64 (neg.f64 (/.f64 F A)))
1.0ms	A	@	0	(sqrt.f64 (neg.f64 (/.f64 F A)))
0.0ms	F	@	inf	(sqrt.f64 (neg.f64 (/.f64 F A)))
0.0ms	A	@	inf	(sqrt.f64 (neg.f64 (/.f64 F A)))
0.0ms	A	@	-inf	(sqrt.f64 (neg.f64 (/.f64 F A)))

rewrite54.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1506×	`add-sqr-sqrt`
1490×	`*-un-lft-identity`
1388×	`add-cube-cbrt`
1372×	`add-cbrt-cube`
1358×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	165	11
2	2172	11

Stop Event

1×	node limit

Counts

1 → 29

Calls

Call 1

Inputs
(sqrt.f64 (neg.f64 (/.f64 F A)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (/.f64 F A))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 F A)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (/.f64 F A)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 F A) 1/4) (pow.f64 (/.f64 F A) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 F) (sqrt.f64 (/.f64 1 A)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (/.f64 F A))) (cbrt.f64 (/.f64 F A)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 F A)) (cbrt.f64 (sqrt.f64 (/.f64 F A))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 F A)) 2)) (sqrt.f64 (cbrt.f64 (/.f64 F A))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 F A)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 F A)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 F A)) 2) 1/2) (pow.f64 (cbrt.f64 (/.f64 F A)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 -1 1/2) (sqrt.f64 (/.f64 F A)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (/.f64 A F)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 F) (sqrt.f64 A))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (neg.f64 F)) (sqrt.f64 A))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (neg.f64 F)) (sqrt.f64 (neg.f64 A)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 F A) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 F A)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 F A) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 F A))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 F A) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (/.f64 F A)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (/.f64 F A))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 F A) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 F A))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (/.f64 F A))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 F A)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 F A))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 F A))))))))

simplify68.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1008×	`unswap-sqr`
714×	`fma-def`
704×	`*-commutative`
676×	`distribute-lft-in`
644×	`+-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	74	683
1	136	575
2	362	471
3	1349	443
4	3527	443
5	7157	443

Stop Event

1×	node limit

Counts

29 → 37

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (sqrt.f64 (/.f64 F A))) 1)
(*.f64 (sqrt.f64 (/.f64 F A)) 1)
(*.f64 1 (sqrt.f64 (/.f64 F A)))
(*.f64 (pow.f64 (/.f64 F A) 1/4) (pow.f64 (/.f64 F A) 1/4))
(*.f64 (sqrt.f64 F) (sqrt.f64 (/.f64 1 A)))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 F A))) (cbrt.f64 (/.f64 F A)))
(*.f64 (cbrt.f64 (/.f64 F A)) (cbrt.f64 (sqrt.f64 (/.f64 F A))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 F A)) 2)) (sqrt.f64 (cbrt.f64 (/.f64 F A))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 F A)))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 F A)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 F A)) 2) 1/2) (pow.f64 (cbrt.f64 (/.f64 F A)) 1/2))
(*.f64 (pow.f64 -1 1/2) (sqrt.f64 (/.f64 F A)))
(/.f64 1 (sqrt.f64 (/.f64 A F)))
(/.f64 (sqrt.f64 F) (sqrt.f64 A))
(/.f64 (sqrt.f64 (neg.f64 F)) (sqrt.f64 A))
(/.f64 (sqrt.f64 (neg.f64 F)) (sqrt.f64 (neg.f64 A)))
(pow.f64 (/.f64 F A) 1/2)
(pow.f64 (sqrt.f64 (/.f64 F A)) 1)
(pow.f64 (pow.f64 (/.f64 F A) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 F A))) 3)
(pow.f64 (pow.f64 (/.f64 F A) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (/.f64 F A)))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 F A))))
(cbrt.f64 (pow.f64 (/.f64 F A) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 F A))))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 F A))))
(exp.f64 (*.f64 (log.f64 (/.f64 F A)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 F A))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 F A))))

Outputs
(-.f64 (+.f64 1 (sqrt.f64 (/.f64 F A))) 1)
(+.f64 (+.f64 1 (sqrt.f64 (/.f64 F A))) -1)
(+.f64 (sqrt.f64 (/.f64 F A)) 0)
(sqrt.f64 (/.f64 F A))
(*.f64 (sqrt.f64 (/.f64 F A)) 1)
(+.f64 (+.f64 1 (sqrt.f64 (/.f64 F A))) -1)
(+.f64 (sqrt.f64 (/.f64 F A)) 0)
(sqrt.f64 (/.f64 F A))
(*.f64 1 (sqrt.f64 (/.f64 F A)))
(+.f64 (+.f64 1 (sqrt.f64 (/.f64 F A))) -1)
(+.f64 (sqrt.f64 (/.f64 F A)) 0)
(sqrt.f64 (/.f64 F A))
(*.f64 (pow.f64 (/.f64 F A) 1/4) (pow.f64 (/.f64 F A) 1/4))
(+.f64 (+.f64 1 (sqrt.f64 (/.f64 F A))) -1)
(+.f64 (sqrt.f64 (/.f64 F A)) 0)
(sqrt.f64 (/.f64 F A))
(*.f64 (sqrt.f64 F) (sqrt.f64 (/.f64 1 A)))
(*.f64 (sqrt.f64 F) (sqrt.f64 (pow.f64 A -1)))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 F A))) (cbrt.f64 (/.f64 F A)))
(*.f64 (cbrt.f64 (/.f64 F A)) (cbrt.f64 (sqrt.f64 (/.f64 F A))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 F A))) (cbrt.f64 (/.f64 F A)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 F A)) 2)) (sqrt.f64 (cbrt.f64 (/.f64 F A))))
(*.f64 (fabs.f64 (cbrt.f64 (/.f64 F A))) (sqrt.f64 (cbrt.f64 (/.f64 F A))))
(*.f64 (cbrt.f64 (/.f64 F A)) (sqrt.f64 (cbrt.f64 (/.f64 F A))))
(pow.f64 (cbrt.f64 (/.f64 F A)) 3/2)
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 F A)))
(*.f64 (sqrt.f64 (/.f64 F A)) (sqrt.f64 -1))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 F A)))
(+.f64 (+.f64 1 (sqrt.f64 (/.f64 F A))) -1)
(+.f64 (sqrt.f64 (/.f64 F A)) 0)
(sqrt.f64 (/.f64 F A))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 F A)) 2) 1/2) (pow.f64 (cbrt.f64 (/.f64 F A)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 F A)) 2)) (sqrt.f64 (cbrt.f64 (/.f64 F A))))
(*.f64 (fabs.f64 (cbrt.f64 (/.f64 F A))) (sqrt.f64 (cbrt.f64 (/.f64 F A))))
(*.f64 (cbrt.f64 (/.f64 F A)) (sqrt.f64 (cbrt.f64 (/.f64 F A))))
(pow.f64 (cbrt.f64 (/.f64 F A)) 3/2)
(*.f64 (pow.f64 -1 1/2) (sqrt.f64 (/.f64 F A)))
(*.f64 (sqrt.f64 (/.f64 F A)) (sqrt.f64 -1))
(/.f64 1 (sqrt.f64 (/.f64 A F)))
(/.f64 (sqrt.f64 F) (sqrt.f64 A))
(/.f64 (sqrt.f64 (neg.f64 F)) (sqrt.f64 A))
(/.f64 (sqrt.f64 (neg.f64 F)) (sqrt.f64 (neg.f64 A)))
(pow.f64 (/.f64 F A) 1/2)
(+.f64 (+.f64 1 (sqrt.f64 (/.f64 F A))) -1)
(+.f64 (sqrt.f64 (/.f64 F A)) 0)
(sqrt.f64 (/.f64 F A))
(pow.f64 (sqrt.f64 (/.f64 F A)) 1)
(+.f64 (+.f64 1 (sqrt.f64 (/.f64 F A))) -1)
(+.f64 (sqrt.f64 (/.f64 F A)) 0)
(sqrt.f64 (/.f64 F A))
(pow.f64 (pow.f64 (/.f64 F A) 1/4) 2)
(+.f64 (+.f64 1 (sqrt.f64 (/.f64 F A))) -1)
(+.f64 (sqrt.f64 (/.f64 F A)) 0)
(sqrt.f64 (/.f64 F A))
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 F A))) 3)
(+.f64 (+.f64 1 (sqrt.f64 (/.f64 F A))) -1)
(+.f64 (sqrt.f64 (/.f64 F A)) 0)
(sqrt.f64 (/.f64 F A))
(pow.f64 (pow.f64 (/.f64 F A) 3/2) 1/3)
(cbrt.f64 (pow.f64 (/.f64 F A) 3/2))
(fabs.f64 (sqrt.f64 (/.f64 F A)))
(+.f64 (+.f64 1 (sqrt.f64 (/.f64 F A))) -1)
(+.f64 (sqrt.f64 (/.f64 F A)) 0)
(sqrt.f64 (/.f64 F A))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 F A))))
(+.f64 (+.f64 1 (sqrt.f64 (/.f64 F A))) -1)
(+.f64 (sqrt.f64 (/.f64 F A)) 0)
(sqrt.f64 (/.f64 F A))
(cbrt.f64 (pow.f64 (/.f64 F A) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 F A))))
(+.f64 (+.f64 1 (sqrt.f64 (/.f64 F A))) -1)
(+.f64 (sqrt.f64 (/.f64 F A)) 0)
(sqrt.f64 (/.f64 F A))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 F A))))
(+.f64 (+.f64 1 (sqrt.f64 (/.f64 F A))) -1)
(+.f64 (sqrt.f64 (/.f64 F A)) 0)
(sqrt.f64 (/.f64 F A))
(exp.f64 (*.f64 (log.f64 (/.f64 F A)) 1/2))
(+.f64 (+.f64 1 (sqrt.f64 (/.f64 F A))) -1)
(+.f64 (sqrt.f64 (/.f64 F A)) 0)
(sqrt.f64 (/.f64 F A))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 F A))) 1))
(+.f64 (+.f64 1 (sqrt.f64 (/.f64 F A))) -1)
(+.f64 (sqrt.f64 (/.f64 F A)) 0)
(sqrt.f64 (/.f64 F A))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 F A))))
(+.f64 (+.f64 1 (sqrt.f64 (/.f64 F A))) -1)
(+.f64 (sqrt.f64 (/.f64 F A)) 0)
(sqrt.f64 (/.f64 F A))

localize159.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	5.0b	(.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F)
✓	7.0b	(/.f64 (*.f64 B B) C)
✓	10.5b	(sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (+.f64 (-.f64 A C) (.f64 -1/2 (/.f64 (.f64 B B) C))))))))
✓	15.9b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (+.f64 (-.f64 A C) (.f64 -1/2 (/.f64 (.f64 B B) C))))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))

Compiler

Compiled 254 to 101 computations (60.2% saved)

series46.0ms (0.1%)

Counts

3 → 72

Calls

30 calls:

Time	Variable		Point	Expression
5.0ms	F	@	0	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (+.f64 (-.f64 A C) (.f64 -1/2 (/.f64 (.f64 B B) C))))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
4.0ms	A	@	0	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (+.f64 (-.f64 A C) (.f64 -1/2 (/.f64 (.f64 B B) C))))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
3.0ms	B	@	0	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (+.f64 (-.f64 A C) (.f64 -1/2 (/.f64 (.f64 B B) C))))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
3.0ms	A	@	inf	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (+.f64 (-.f64 A C) (.f64 -1/2 (/.f64 (.f64 B B) C))))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
3.0ms	C	@	0	(sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (+.f64 (-.f64 A C) (.f64 -1/2 (/.f64 (.f64 B B) C))))))))

rewrite80.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

638×	`add-sqr-sqrt`
620×	`pow1`
620×	`*-un-lft-identity`
596×	`add-exp-log`
596×	`log1p-expm1-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	225
1	611	213

Stop Event

1×	node limit

Counts

3 → 87

Calls

Call 1

Inputs

(/.f64 (neg.f64 (sqrt.f64 (*.f64 2 (*.f64 (*.f64 (-.f64 (*.f64 B B) (*.f64 4 (*.f64 A C))) F) (+.f64 A (-.f64 C (+.f64 (-.f64 A C) (*.f64 -1/2 (/.f64 (*.f64 B B) C))))))))) (-.f64 (*.f64 B B) (*.f64 4 (*.f64 A C))))

(sqrt.f64 (*.f64 2 (*.f64 (*.f64 (-.f64 (*.f64 B B) (*.f64 4 (*.f64 A C))) F) (+.f64 A (-.f64 C (+.f64 (-.f64 A C) (*.f64 -1/2 (/.f64 (*.f64 B B) C))))))))

(/.f64 (*.f64 B B) C)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (sqrt.f64 (*.f64 2 (*.f64 F (*.f64 (fma.f64 B B (*.f64 (*.f64 A C) -4)) (+.f64 A (+.f64 (+.f64 (-.f64 C A) C) (*.f64 1/2 (/.f64 (*.f64 B B) C)))))))) (fma.f64 B B (*.f64 (*.f64 A C) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (fma.f64 B B (*.f64 (*.f64 A C) -4))) (/.f64 (sqrt.f64 (*.f64 2 (*.f64 F (*.f64 (fma.f64 B B (*.f64 (*.f64 A C) -4)) (+.f64 A (+.f64 (+.f64 (-.f64 C A) C) (*.f64 1/2 (/.f64 (*.f64 B B) C)))))))) (fma.f64 B B (*.f64 (*.f64 A C) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 2 (*.f64 F (*.f64 (fma.f64 B B (*.f64 (*.f64 A C) -4)) (+.f64 A (+.f64 (+.f64 (-.f64 C A) C) (*.f64 1/2 (/.f64 (*.f64 B B) C)))))))) (/.f64 1 (neg.f64 (fma.f64 B B (*.f64 (*.f64 A C) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (*.f64 2 (*.f64 F (*.f64 (fma.f64 B B (*.f64 (*.f64 A C) -4)) (+.f64 A (+.f64 (+.f64 (-.f64 C A) C) (*.f64 1/2 (/.f64 (*.f64 B B) C))))))))) (/.f64 1 (fma.f64 B B (*.f64 (*.f64 A C) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 2 (*.f64 F (*.f64 (fma.f64 B B (*.f64 (*.f64 A C) -4)) (+.f64 A (+.f64 (+.f64 (-.f64 C A) C) (*.f64 1/2 (/.f64 (*.f64 B B) C)))))))) (neg.f64 (fma.f64 B B (*.f64 (*.f64 A C) -4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sqrt.f64 (*.f64 2 (*.f64 F (*.f64 (fma.f64 B B (*.f64 (*.f64 A C) -4)) (+.f64 A (+.f64 (+.f64 (-.f64 C A) C) (*.f64 1/2 (/.f64 (*.f64 B B) C)))))))) (neg.f64 (fma.f64 B B (*.f64 (*.f64 A C) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 2 (*.f64 F (*.f64 (fma.f64 B B (*.f64 (*.f64 A C) -4)) (+.f64 A (+.f64 (+.f64 (-.f64 C A) C) (*.f64 1/2 (/.f64 (*.f64 B B) C)))))))) (neg.f64 (fma.f64 B B (*.f64 (*.f64 A C) -4))))) (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 2 (*.f64 F (*.f64 (fma.f64 B B (*.f64 (*.f64 A C) -4)) (+.f64 A (+.f64 (+.f64 (-.f64 C A) C) (*.f64 1/2 (/.f64 (*.f64 B B) 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((#(struct:change #<rule egg-rr> (2) ((x *.f64 B (*.f64 B (/.f64 1 C)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 B (/.f64 1 (/.f64 C B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 B B) (/.f64 1 C))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 B B) C) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (*.f64 B B) C))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 B (sqrt.f64 (/.f64 1 C))) (*.f64 B (sqrt.f64 (/.f64 1 C))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 B 4)) (*.f64 (cbrt.f64 (*.f64 B B)) (/.f64 1 C)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 B B) C)) (cbrt.f64 (/.f64 (pow.f64 B 4) (*.f64 C C))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 B 4) (*.f64 C C))) (cbrt.f64 (/.f64 (*.f64 B B) C)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 C) (*.f64 B B))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 B B)) (/.f64 1 (neg.f64 C)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 C)) (/.f64 (*.f64 B B) (sqrt.f64 C)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 C C))) (/.f64 (*.f64 B B) (cbrt.f64 C)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 B C) B)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 B (sqrt.f64 C)) (/.f64 B (sqrt.f64 C)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (*.f64 B B) C) 1/2) (pow.f64 (/.f64 (*.f64 B B) C) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 B 1) (/.f64 B C))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 B (cbrt.f64 (*.f64 C C))) (/.f64 B (cbrt.f64 C)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 B 4)) 1) (/.f64 (cbrt.f64 (*.f64 B B)) C))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 B 4)) (sqrt.f64 C)) (/.f64 (cbrt.f64 (*.f64 B B)) (sqrt.f64 C)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 B 4)) (cbrt.f64 (*.f64 C C))) (/.f64 (cbrt.f64 (*.f64 B B)) (cbrt.f64 C)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 B B) C) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 B B) (neg.f64 C)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (*.f64 B B) C)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (/.f64 (*.f64 B B) C) (/.f64 (pow.f64 B 4) (*.f64 C C))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 B B) C)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 B B) C)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 B B) C)))))))

simplify144.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1414×	`associate-r`
1194×	`*-commutative`
1040×	`associate-l`
910×	`associate-/l*`
736×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	651	21033
1	2052	20039

Stop Event

1×	node limit

Counts

159 → 258

Calls

Call 1

Inputs
(.f64 -1 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1/2)) (sqrt.f64 (/.f64 F A))))
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(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1/2)) (sqrt.f64 (/.f64 F A)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 A F)) (/.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 -1/4 (/.f64 (-.f64 (.f64 -1/8 (/.f64 F (.f64 A (pow.f64 C 2)))) (.f64 1/8 (/.f64 F (.f64 (pow.f64 A 2) C)))) (.f64 A C))) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 A F)) (/.f64 (-.f64 (.f64 -1/8 (/.f64 F (.f64 A (pow.f64 C 2)))) (.f64 1/8 (/.f64 F (.f64 (pow.f64 A 2) C)))) (sqrt.f64 -1/2)))) 2)) (pow.f64 B 4))) (sqrt.f64 -1/2)))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 A F)) (/.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (.f64 -1/8 (/.f64 F (.f64 A (pow.f64 C 2)))) (.f64 1/8 (/.f64 F (*.f64 (pow.f64 A 2) C)))) (pow.f64 B 2))) (sqrt.f64 -1/2))))))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1/2)) (sqrt.f64 (/.f64 F A)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 A F)) (/.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 A (.f64 (+.f64 (.f64 -1/4 (/.f64 (-.f64 (.f64 -1/8 (/.f64 F (.f64 A (pow.f64 C 2)))) (.f64 1/8 (/.f64 F (.f64 (pow.f64 A 2) C)))) (.f64 A C))) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 A F)) (/.f64 (-.f64 (.f64 -1/8 (/.f64 F (.f64 A (pow.f64 C 2)))) (.f64 1/8 (/.f64 F (.f64 (pow.f64 A 2) C)))) (sqrt.f64 -1/2)))) 2)) (-.f64 (.f64 -1/8 (/.f64 F (.f64 A (pow.f64 C 2)))) (.f64 1/8 (/.f64 F (.f64 (pow.f64 A 2) C)))))) (.f64 F (pow.f64 (sqrt.f64 -1/2) 2)))) (.f64 -1/16 (/.f64 (-.f64 (.f64 -1/8 (/.f64 F (.f64 A (pow.f64 C 2)))) (.f64 1/8 (/.f64 F (.f64 (pow.f64 A 2) C)))) (.f64 (pow.f64 A 2) (pow.f64 C 2))))) (pow.f64 B 6))) (sqrt.f64 -1/2)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 A F)) (/.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 -1/4 (/.f64 (-.f64 (.f64 -1/8 (/.f64 F (.f64 A (pow.f64 C 2)))) (.f64 1/8 (/.f64 F (.f64 (pow.f64 A 2) C)))) (.f64 A C))) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 A F)) (/.f64 (-.f64 (.f64 -1/8 (/.f64 F (.f64 A (pow.f64 C 2)))) (.f64 1/8 (/.f64 F (.f64 (pow.f64 A 2) C)))) (sqrt.f64 -1/2)))) 2)) (pow.f64 B 4))) (sqrt.f64 -1/2)))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 A F)) (/.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (.f64 -1/8 (/.f64 F (.f64 A (pow.f64 C 2)))) (.f64 1/8 (/.f64 F (*.f64 (pow.f64 A 2) C)))) (pow.f64 B 2))) (sqrt.f64 -1/2)))))))
(.f64 -1 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 1/2)) (sqrt.f64 (/.f64 F C))))
(+.f64 (.f64 -1/2 (.f64 (/.f64 (.f64 (-.f64 (.f64 2 (.f64 C F)) (.f64 -2 (.f64 A F))) (sqrt.f64 2)) (.f64 (sqrt.f64 1/2) (pow.f64 B 2))) (sqrt.f64 (/.f64 C F)))) (.f64 -1 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 1/2)) (sqrt.f64 (/.f64 F C)))))
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(.f64 -1 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 1/2)) (sqrt.f64 (/.f64 F C))))
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(.f64 -1 (.f64 (/.f64 (sqrt.f64 2) B) (sqrt.f64 (.f64 F (-.f64 (.f64 2 C) (*.f64 -1/2 (/.f64 (pow.f64 B 2) C)))))))
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(.f64 (sqrt.f64 (cbrt.f64 (.f64 4 (pow.f64 (.f64 F (.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) (+.f64 A (+.f64 (+.f64 (-.f64 C A) C) (.f64 1/2 (/.f64 (.f64 B B) C)))))) 2)))) (sqrt.f64 (cbrt.f64 (.f64 2 (.f64 F (.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) (+.f64 A (+.f64 (+.f64 (-.f64 C A) C) (.f64 1/2 (/.f64 (*.f64 B B) C))))))))))
(.f64 (neg.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 F (.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) (+.f64 A (+.f64 (+.f64 (-.f64 C A) C) (.f64 1/2 (/.f64 (.f64 B B) C))))))))))) (sqrt.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 F (.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) (+.f64 A (+.f64 (+.f64 (-.f64 C A) C) (.f64 1/2 (/.f64 (*.f64 B B) C)))))))))))
(.f64 (neg.f64 (cbrt.f64 (.f64 2 (.f64 F (.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) (+.f64 A (+.f64 (+.f64 (-.f64 C A) C) (.f64 1/2 (/.f64 (.f64 B B) C))))))))) (cbrt.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 F (.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) (+.f64 A (+.f64 (+.f64 (-.f64 C A) C) (.f64 1/2 (/.f64 (*.f64 B B) C)))))))))))
(.f64 (pow.f64 (.f64 2 (.f64 F (.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) (+.f64 A (+.f64 (+.f64 (-.f64 C A) C) (.f64 1/2 (/.f64 (.f64 B B) C))))))) 1/4) (pow.f64 (.f64 2 (.f64 F (.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) (+.f64 A (+.f64 (+.f64 (-.f64 C A) C) (.f64 1/2 (/.f64 (*.f64 B B) C))))))) 1/4))
(.f64 (pow.f64 (sqrt.f64 (.f64 2 (.f64 F (.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) (+.f64 A (+.f64 (+.f64 (-.f64 C A) C) (.f64 1/2 (/.f64 (.f64 B B) C)))))))) 1/2) (pow.f64 (sqrt.f64 (.f64 2 (.f64 F (.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) (+.f64 A (+.f64 (+.f64 (-.f64 C A) C) (.f64 1/2 (/.f64 (*.f64 B B) C)))))))) 1/2))
(pow.f64 (.f64 2 (.f64 F (.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) (+.f64 A (+.f64 (+.f64 (-.f64 C A) C) (.f64 1/2 (/.f64 (*.f64 B B) C))))))) 1/2)
(pow.f64 (sqrt.f64 (.f64 2 (.f64 F (.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) (+.f64 A (+.f64 (+.f64 (-.f64 C A) C) (.f64 1/2 (/.f64 (*.f64 B B) C)))))))) 1)
(neg.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 F (.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) (+.f64 A (+.f64 (+.f64 (-.f64 C A) C) (.f64 1/2 (/.f64 (*.f64 B B) C))))))))))
(fabs.f64 (sqrt.f64 (.f64 2 (.f64 F (.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) (+.f64 A (+.f64 (+.f64 (-.f64 C A) C) (.f64 1/2 (/.f64 (*.f64 B B) C)))))))))
(log.f64 (exp.f64 (sqrt.f64 (.f64 2 (.f64 F (.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) (+.f64 A (+.f64 (+.f64 (-.f64 C A) C) (.f64 1/2 (/.f64 (*.f64 B B) C))))))))))
(cbrt.f64 (.f64 (.f64 F (.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) (+.f64 A (+.f64 (+.f64 (-.f64 C A) C) (.f64 1/2 (/.f64 (.f64 B B) C)))))) (.f64 2 (sqrt.f64 (.f64 2 (.f64 F (.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) (+.f64 A (+.f64 (+.f64 (-.f64 C A) C) (.f64 1/2 (/.f64 (*.f64 B B) C)))))))))))
(expm1.f64 (log1p.f64 (sqrt.f64 (.f64 2 (.f64 F (.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) (+.f64 A (+.f64 (+.f64 (-.f64 C A) C) (.f64 1/2 (/.f64 (*.f64 B B) C))))))))))
(exp.f64 (log.f64 (sqrt.f64 (.f64 2 (.f64 F (.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) (+.f64 A (+.f64 (+.f64 (-.f64 C A) C) (.f64 1/2 (/.f64 (*.f64 B B) C))))))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (.f64 2 (.f64 F (.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) (+.f64 A (+.f64 (+.f64 (-.f64 C A) C) (.f64 1/2 (/.f64 (*.f64 B B) C))))))))))
(.f64 B (.f64 B (/.f64 1 C)))
(*.f64 B (/.f64 1 (/.f64 C B)))
(.f64 (.f64 B B) (/.f64 1 C))
(.f64 (/.f64 (.f64 B B) C) 1)
(.f64 1 (/.f64 (.f64 B B) C))
(.f64 (.f64 B (sqrt.f64 (/.f64 1 C))) (*.f64 B (sqrt.f64 (/.f64 1 C))))
(.f64 (cbrt.f64 (pow.f64 B 4)) (.f64 (cbrt.f64 (*.f64 B B)) (/.f64 1 C)))
(.f64 (cbrt.f64 (/.f64 (.f64 B B) C)) (cbrt.f64 (/.f64 (pow.f64 B 4) (*.f64 C C))))
(.f64 (cbrt.f64 (/.f64 (pow.f64 B 4) (.f64 C C))) (cbrt.f64 (/.f64 (*.f64 B B) C)))
(.f64 (/.f64 1 C) (.f64 B B))
(.f64 (neg.f64 (.f64 B B)) (/.f64 1 (neg.f64 C)))
(.f64 (/.f64 1 (sqrt.f64 C)) (/.f64 (.f64 B B) (sqrt.f64 C)))
(.f64 (/.f64 1 (cbrt.f64 (.f64 C C))) (/.f64 (*.f64 B B) (cbrt.f64 C)))
(*.f64 (/.f64 B C) B)
(*.f64 (/.f64 B (sqrt.f64 C)) (/.f64 B (sqrt.f64 C)))
(.f64 (pow.f64 (/.f64 (.f64 B B) C) 1/2) (pow.f64 (/.f64 (*.f64 B B) C) 1/2))
(*.f64 (/.f64 B 1) (/.f64 B C))
(.f64 (/.f64 B (cbrt.f64 (.f64 C C))) (/.f64 B (cbrt.f64 C)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 B 4)) 1) (/.f64 (cbrt.f64 (.f64 B B)) C))
(.f64 (/.f64 (cbrt.f64 (pow.f64 B 4)) (sqrt.f64 C)) (/.f64 (cbrt.f64 (.f64 B B)) (sqrt.f64 C)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 B 4)) (cbrt.f64 (.f64 C C))) (/.f64 (cbrt.f64 (*.f64 B B)) (cbrt.f64 C)))
(pow.f64 (/.f64 (*.f64 B B) C) 1)
(neg.f64 (/.f64 (*.f64 B B) (neg.f64 C)))
(log.f64 (exp.f64 (/.f64 (*.f64 B B) C)))
(cbrt.f64 (.f64 (/.f64 (.f64 B B) C) (/.f64 (pow.f64 B 4) (*.f64 C C))))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 B B) C)))
(exp.f64 (log.f64 (/.f64 (*.f64 B B) C)))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 B B) C)))

Outputs
(.f64 -1 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1/2)) (sqrt.f64 (/.f64 F A))))
(neg.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1/2) (sqrt.f64 (/.f64 F A)))))
(.f64 (sqrt.f64 2) (neg.f64 (.f64 (sqrt.f64 -1/2) (sqrt.f64 (/.f64 F A)))))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1/2)) (sqrt.f64 (/.f64 F A)))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 A F)) (/.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (.f64 -1/8 (/.f64 F (.f64 A (pow.f64 C 2)))) (.f64 1/8 (/.f64 F (*.f64 (pow.f64 A 2) C)))) (pow.f64 B 2))) (sqrt.f64 -1/2)))))
(fma.f64 -1 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1/2) (sqrt.f64 (/.f64 F A)))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 A F)) (/.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 -1/8 (/.f64 F (.f64 A (.f64 C C)))) (.f64 -1/8 (/.f64 F (.f64 C (.f64 A A))))) (*.f64 B B))) (sqrt.f64 -1/2)))))
(-.f64 (.f64 -1/2 (/.f64 (.f64 (sqrt.f64 (/.f64 A F)) (.f64 (.f64 -1/8 (+.f64 (/.f64 (/.f64 F A) (.f64 C C)) (/.f64 F (.f64 C (.f64 A A))))) (.f64 (sqrt.f64 2) (.f64 B B)))) (sqrt.f64 -1/2))) (.f64 (sqrt.f64 -1/2) (*.f64 (sqrt.f64 2) (sqrt.f64 (/.f64 F A)))))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1/2)) (sqrt.f64 (/.f64 F A)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 A F)) (/.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 -1/4 (/.f64 (-.f64 (.f64 -1/8 (/.f64 F (.f64 A (pow.f64 C 2)))) (.f64 1/8 (/.f64 F (.f64 (pow.f64 A 2) C)))) (.f64 A C))) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 A F)) (/.f64 (-.f64 (.f64 -1/8 (/.f64 F (.f64 A (pow.f64 C 2)))) (.f64 1/8 (/.f64 F (.f64 (pow.f64 A 2) C)))) (sqrt.f64 -1/2)))) 2)) (pow.f64 B 4))) (sqrt.f64 -1/2)))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 A F)) (/.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (.f64 -1/8 (/.f64 F (.f64 A (pow.f64 C 2)))) (.f64 1/8 (/.f64 F (*.f64 (pow.f64 A 2) C)))) (pow.f64 B 2))) (sqrt.f64 -1/2))))))
(fma.f64 -1 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1/2) (sqrt.f64 (/.f64 F A)))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 A F)) (/.f64 (.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/4 (/.f64 (+.f64 (.f64 -1/8 (/.f64 F (.f64 A (.f64 C C)))) (.f64 -1/8 (/.f64 F (.f64 C (.f64 A A))))) (.f64 A C)) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 A F)) (/.f64 (+.f64 (.f64 -1/8 (/.f64 F (.f64 A (.f64 C C)))) (.f64 -1/8 (/.f64 F (.f64 C (.f64 A A))))) (sqrt.f64 -1/2)))) 2)) (pow.f64 B 4))) (sqrt.f64 -1/2))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 A F)) (/.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 -1/8 (/.f64 F (.f64 A (.f64 C C)))) (.f64 -1/8 (/.f64 F (.f64 C (.f64 A A))))) (*.f64 B B))) (sqrt.f64 -1/2))))))
(-.f64 (fma.f64 1/2 (/.f64 (sqrt.f64 (/.f64 A F)) (/.f64 (sqrt.f64 -1/2) (.f64 (fma.f64 -1/4 (/.f64 (.f64 -1/8 (+.f64 (/.f64 (/.f64 F A) (.f64 C C)) (/.f64 F (.f64 C (.f64 A A))))) (.f64 A C)) (pow.f64 (.f64 (/.f64 (.f64 -1/8 (+.f64 (/.f64 (/.f64 F A) (.f64 C C)) (/.f64 F (.f64 C (.f64 A A))))) (sqrt.f64 -1/2)) (.f64 (sqrt.f64 (/.f64 A F)) 1/2)) 2)) (.f64 (pow.f64 B 4) (sqrt.f64 2))))) (.f64 -1/2 (/.f64 (.f64 (sqrt.f64 (/.f64 A F)) (.f64 (.f64 -1/8 (+.f64 (/.f64 (/.f64 F A) (.f64 C C)) (/.f64 F (.f64 C (.f64 A A))))) (.f64 (sqrt.f64 2) (.f64 B B)))) (sqrt.f64 -1/2)))) (.f64 (sqrt.f64 -1/2) (.f64 (sqrt.f64 2) (sqrt.f64 (/.f64 F A)))))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1/2)) (sqrt.f64 (/.f64 F A)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 A F)) (/.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 A (.f64 (+.f64 (.f64 -1/4 (/.f64 (-.f64 (.f64 -1/8 (/.f64 F (.f64 A (pow.f64 C 2)))) (.f64 1/8 (/.f64 F (.f64 (pow.f64 A 2) C)))) (.f64 A C))) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 A F)) (/.f64 (-.f64 (.f64 -1/8 (/.f64 F (.f64 A (pow.f64 C 2)))) (.f64 1/8 (/.f64 F (.f64 (pow.f64 A 2) C)))) (sqrt.f64 -1/2)))) 2)) (-.f64 (.f64 -1/8 (/.f64 F (.f64 A (pow.f64 C 2)))) (.f64 1/8 (/.f64 F (.f64 (pow.f64 A 2) C)))))) (.f64 F (pow.f64 (sqrt.f64 -1/2) 2)))) (.f64 -1/16 (/.f64 (-.f64 (.f64 -1/8 (/.f64 F (.f64 A (pow.f64 C 2)))) (.f64 1/8 (/.f64 F (.f64 (pow.f64 A 2) C)))) (.f64 (pow.f64 A 2) (pow.f64 C 2))))) (pow.f64 B 6))) (sqrt.f64 -1/2)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 A F)) (/.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 -1/4 (/.f64 (-.f64 (.f64 -1/8 (/.f64 F (.f64 A (pow.f64 C 2)))) (.f64 1/8 (/.f64 F (.f64 (pow.f64 A 2) C)))) (.f64 A C))) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 A F)) (/.f64 (-.f64 (.f64 -1/8 (/.f64 F (.f64 A (pow.f64 C 2)))) (.f64 1/8 (/.f64 F (.f64 (pow.f64 A 2) C)))) (sqrt.f64 -1/2)))) 2)) (pow.f64 B 4))) (sqrt.f64 -1/2)))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 A F)) (/.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (.f64 -1/8 (/.f64 F (.f64 A (pow.f64 C 2)))) (.f64 1/8 (/.f64 F (*.f64 (pow.f64 A 2) C)))) (pow.f64 B 2))) (sqrt.f64 -1/2)))))))
(fma.f64 -1 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1/2) (sqrt.f64 (/.f64 F A)))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 A F)) (/.f64 (.f64 (.f64 (sqrt.f64 2) (fma.f64 -1/2 (.f64 (/.f64 A F) (/.f64 (.f64 (+.f64 (.f64 -1/8 (/.f64 F (.f64 A (.f64 C C)))) (.f64 -1/8 (/.f64 F (.f64 C (.f64 A A))))) (fma.f64 -1/4 (/.f64 (+.f64 (.f64 -1/8 (/.f64 F (.f64 A (.f64 C C)))) (.f64 -1/8 (/.f64 F (.f64 C (.f64 A A))))) (.f64 A C)) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 A F)) (/.f64 (+.f64 (.f64 -1/8 (/.f64 F (.f64 A (.f64 C C)))) (.f64 -1/8 (/.f64 F (.f64 C (.f64 A A))))) (sqrt.f64 -1/2)))) 2))) (pow.f64 (sqrt.f64 -1/2) 2))) (.f64 -1/16 (/.f64 (+.f64 (.f64 -1/8 (/.f64 F (.f64 A (.f64 C C)))) (.f64 -1/8 (/.f64 F (.f64 C (.f64 A A))))) (.f64 (.f64 C C) (.f64 A A)))))) (pow.f64 B 6)) (sqrt.f64 -1/2))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 A F)) (/.f64 (.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/4 (/.f64 (+.f64 (.f64 -1/8 (/.f64 F (.f64 A (.f64 C C)))) (.f64 -1/8 (/.f64 F (.f64 C (.f64 A A))))) (.f64 A C)) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 A F)) (/.f64 (+.f64 (.f64 -1/8 (/.f64 F (.f64 A (.f64 C C)))) (.f64 -1/8 (/.f64 F (.f64 C (.f64 A A))))) (sqrt.f64 -1/2)))) 2)) (pow.f64 B 4))) (sqrt.f64 -1/2))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 A F)) (/.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 -1/8 (/.f64 F (.f64 A (.f64 C C)))) (.f64 -1/8 (/.f64 F (.f64 C (.f64 A A))))) (*.f64 B B))) (sqrt.f64 -1/2)))))))
(+.f64 (.f64 (.f64 (sqrt.f64 (/.f64 A F)) 1/2) (+.f64 (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -1/2)) (.f64 (fma.f64 -1/2 (.f64 (/.f64 A F) (/.f64 (.f64 -1/8 (+.f64 (/.f64 (/.f64 F A) (.f64 C C)) (/.f64 F (.f64 C (.f64 A A))))) (/.f64 (pow.f64 (sqrt.f64 -1/2) 2) (fma.f64 -1/4 (/.f64 (.f64 -1/8 (+.f64 (/.f64 (/.f64 F A) (.f64 C C)) (/.f64 F (.f64 C (.f64 A A))))) (.f64 A C)) (pow.f64 (.f64 (/.f64 (.f64 -1/8 (+.f64 (/.f64 (/.f64 F A) (.f64 C C)) (/.f64 F (.f64 C (.f64 A A))))) (sqrt.f64 -1/2)) (.f64 (sqrt.f64 (/.f64 A F)) 1/2)) 2))))) (/.f64 (.f64 (.f64 -1/8 (+.f64 (/.f64 (/.f64 F A) (.f64 C C)) (/.f64 F (.f64 C (.f64 A A))))) -1/16) (pow.f64 (.f64 A C) 2))) (pow.f64 B 6))) (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -1/2)) (.f64 (fma.f64 -1/4 (/.f64 (.f64 -1/8 (+.f64 (/.f64 (/.f64 F A) (.f64 C C)) (/.f64 F (.f64 C (.f64 A A))))) (.f64 A C)) (pow.f64 (.f64 (/.f64 (.f64 -1/8 (+.f64 (/.f64 (/.f64 F A) (.f64 C C)) (/.f64 F (.f64 C (.f64 A A))))) (sqrt.f64 -1/2)) (.f64 (sqrt.f64 (/.f64 A F)) 1/2)) 2)) (pow.f64 B 4))))) (-.f64 (.f64 -1/2 (/.f64 (.f64 (sqrt.f64 (/.f64 A F)) (.f64 (.f64 -1/8 (+.f64 (/.f64 (/.f64 F A) (.f64 C C)) (/.f64 F (.f64 C (.f64 A A))))) (.f64 (sqrt.f64 2) (.f64 B B)))) (sqrt.f64 -1/2))) (.f64 (sqrt.f64 -1/2) (.f64 (sqrt.f64 2) (sqrt.f64 (/.f64 F A))))))
(.f64 -1 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 1/2)) (sqrt.f64 (/.f64 F C))))
(neg.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) (sqrt.f64 (/.f64 F C)))))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 1/2)) (neg.f64 (sqrt.f64 (/.f64 F C))))
(+.f64 (.f64 -1/2 (.f64 (/.f64 (.f64 (-.f64 (.f64 2 (.f64 C F)) (.f64 -2 (.f64 A F))) (sqrt.f64 2)) (.f64 (sqrt.f64 1/2) (pow.f64 B 2))) (sqrt.f64 (/.f64 C F)))) (.f64 -1 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 1/2)) (sqrt.f64 (/.f64 F C)))))
(fma.f64 -1/2 (/.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 2 (.f64 F C)) (.f64 2 (.f64 F A)))) (sqrt.f64 (/.f64 C F))) (.f64 (.f64 B B) (sqrt.f64 1/2))) (neg.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) (sqrt.f64 (/.f64 F C))))))
(fma.f64 -1/2 (.f64 (/.f64 (.f64 2 (+.f64 (.f64 F C) (.f64 F A))) (sqrt.f64 1/2)) (.f64 (/.f64 (sqrt.f64 2) (.f64 B B)) (sqrt.f64 (/.f64 C F)))) (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 1/2)) (neg.f64 (sqrt.f64 (/.f64 F C)))))
(+.f64 (.f64 1/2 (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -4 (.f64 A (.f64 (-.f64 (.f64 2 (.f64 C F)) (.f64 -2 (.f64 A F))) C))) (pow.f64 (.f64 1/2 (.f64 (/.f64 (-.f64 (.f64 2 (.f64 C F)) (.f64 -2 (.f64 A F))) (sqrt.f64 1/2)) (sqrt.f64 (/.f64 C F)))) 2))) (.f64 (sqrt.f64 1/2) (pow.f64 B 4))) (sqrt.f64 (/.f64 C F)))) (+.f64 (.f64 -1/2 (.f64 (/.f64 (.f64 (-.f64 (.f64 2 (.f64 C F)) (.f64 -2 (.f64 A F))) (sqrt.f64 2)) (.f64 (sqrt.f64 1/2) (pow.f64 B 2))) (sqrt.f64 (/.f64 C F)))) (.f64 -1 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 1/2)) (sqrt.f64 (/.f64 F C))))))
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(.f64 1 (/.f64 (.f64 B B) C))
(/.f64 B (/.f64 C B))
(.f64 (.f64 B (sqrt.f64 (/.f64 1 C))) (*.f64 B (sqrt.f64 (/.f64 1 C))))
(.f64 B (.f64 B (*.f64 (sqrt.f64 (/.f64 1 C)) (sqrt.f64 (/.f64 1 C)))))
(.f64 (cbrt.f64 (pow.f64 B 4)) (.f64 (cbrt.f64 (*.f64 B B)) (/.f64 1 C)))
(.f64 (cbrt.f64 (pow.f64 B 4)) (.f64 (/.f64 1 C) (cbrt.f64 (*.f64 B B))))
(.f64 (cbrt.f64 (pow.f64 B 4)) (/.f64 (cbrt.f64 (.f64 B B)) C))
(.f64 (cbrt.f64 (/.f64 (.f64 B B) C)) (cbrt.f64 (/.f64 (pow.f64 B 4) (*.f64 C C))))
(.f64 (cbrt.f64 (/.f64 B (/.f64 C B))) (cbrt.f64 (/.f64 (pow.f64 B 4) (.f64 C C))))
(.f64 (cbrt.f64 (/.f64 (pow.f64 B 4) (.f64 C C))) (cbrt.f64 (/.f64 (*.f64 B B) C)))
(.f64 (cbrt.f64 (/.f64 B (/.f64 C B))) (cbrt.f64 (/.f64 (pow.f64 B 4) (.f64 C C))))
(.f64 (/.f64 1 C) (.f64 B B))
(/.f64 B (/.f64 C B))
(.f64 (neg.f64 (.f64 B B)) (/.f64 1 (neg.f64 C)))
(/.f64 (neg.f64 (*.f64 B B)) (neg.f64 C))
(.f64 (/.f64 1 (sqrt.f64 C)) (/.f64 (.f64 B B) (sqrt.f64 C)))
(*.f64 (/.f64 B (sqrt.f64 C)) (/.f64 B (sqrt.f64 C)))
(.f64 (/.f64 1 (cbrt.f64 (.f64 C C))) (/.f64 (*.f64 B B) (cbrt.f64 C)))
(/.f64 (.f64 1 (/.f64 (.f64 B B) (cbrt.f64 C))) (cbrt.f64 (*.f64 C C)))
(.f64 (/.f64 B (cbrt.f64 (.f64 C C))) (/.f64 B (cbrt.f64 C)))
(*.f64 (/.f64 B C) B)
(/.f64 B (/.f64 C B))
(*.f64 (/.f64 B (sqrt.f64 C)) (/.f64 B (sqrt.f64 C)))
(.f64 (/.f64 1 (sqrt.f64 C)) (/.f64 (.f64 B B) (sqrt.f64 C)))
(.f64 (pow.f64 (/.f64 (.f64 B B) C) 1/2) (pow.f64 (/.f64 (*.f64 B B) C) 1/2))
(/.f64 B (/.f64 C B))
(*.f64 (/.f64 B 1) (/.f64 B C))
(/.f64 B (/.f64 C B))
(.f64 (/.f64 B (cbrt.f64 (.f64 C C))) (/.f64 B (cbrt.f64 C)))
(/.f64 (.f64 1 (/.f64 (.f64 B B) (cbrt.f64 C))) (cbrt.f64 (*.f64 C C)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 B 4)) 1) (/.f64 (cbrt.f64 (.f64 B B)) C))
(.f64 (cbrt.f64 (pow.f64 B 4)) (.f64 (/.f64 1 C) (cbrt.f64 (*.f64 B B))))
(.f64 (cbrt.f64 (pow.f64 B 4)) (/.f64 (cbrt.f64 (.f64 B B)) C))
(.f64 (/.f64 (cbrt.f64 (pow.f64 B 4)) (sqrt.f64 C)) (/.f64 (cbrt.f64 (.f64 B B)) (sqrt.f64 C)))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 B 4)) (sqrt.f64 C)) (/.f64 (sqrt.f64 C) (cbrt.f64 (*.f64 B B))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 B 4)) (cbrt.f64 (.f64 C C))) (/.f64 (cbrt.f64 (*.f64 B B)) (cbrt.f64 C)))
(pow.f64 (/.f64 (*.f64 B B) C) 1)
(/.f64 B (/.f64 C B))
(neg.f64 (/.f64 (*.f64 B B) (neg.f64 C)))
(.f64 (neg.f64 (.f64 B B)) (/.f64 1 (neg.f64 C)))
(/.f64 (neg.f64 (*.f64 B B)) (neg.f64 C))
(log.f64 (exp.f64 (/.f64 (*.f64 B B) C)))
(/.f64 B (/.f64 C B))
(cbrt.f64 (.f64 (/.f64 (.f64 B B) C) (/.f64 (pow.f64 B 4) (*.f64 C C))))
(cbrt.f64 (/.f64 (.f64 (/.f64 B (/.f64 C B)) (pow.f64 B 4)) (.f64 C C)))
(cbrt.f64 (/.f64 (/.f64 (pow.f64 B 6) C) (*.f64 C C)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 B B) C)))
(/.f64 B (/.f64 C B))
(exp.f64 (log.f64 (/.f64 (*.f64 B B) C)))
(/.f64 B (/.f64 C B))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 B B) C)))
(/.f64 B (/.f64 C B))

localize33.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(fma.f64 1/2 (*.f64 (/.f64 A B) A) B)
✓	0.5b	(/.f64 (sqrt.f64 2) B)
✓	2.4b	(.f64 F (-.f64 A (fma.f64 1/2 (.f64 (/.f64 A B) A) B)))
✓	10.3b	(sqrt.f64 (.f64 F (-.f64 A (fma.f64 1/2 (.f64 (/.f64 A B) A) B))))

Compiler

Compiled 90 to 41 computations (54.4% saved)

series22.0ms (0%)

Counts

4 → 72

Calls

27 calls:

Time	Variable		Point	Expression
10.0ms	B	@	-inf	(sqrt.f64 (.f64 F (-.f64 A (fma.f64 1/2 (.f64 (/.f64 A B) A) B))))
1.0ms	A	@	-inf	(sqrt.f64 (.f64 F (-.f64 A (fma.f64 1/2 (.f64 (/.f64 A B) A) B))))
1.0ms	B	@	0	(sqrt.f64 (.f64 F (-.f64 A (fma.f64 1/2 (.f64 (/.f64 A B) A) B))))
1.0ms	F	@	0	(.f64 F (-.f64 A (fma.f64 1/2 (.f64 (/.f64 A B) A) B)))
1.0ms	F	@	0	(sqrt.f64 (.f64 F (-.f64 A (fma.f64 1/2 (.f64 (/.f64 A B) A) B))))

rewrite105.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1628×	`associate-/r*`
1242×	`associate-/l*`
832×	`distribute-lft-in`
362×	`add-sqr-sqrt`
352×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	102
1	357	102
2	4582	102

Stop Event

1×	node limit

Counts

4 → 135

Calls

Call 1

Inputs
(sqrt.f64 (.f64 F (-.f64 A (fma.f64 1/2 (.f64 (/.f64 A B) A) B))))
(.f64 F (-.f64 A (fma.f64 1/2 (.f64 (/.f64 A B) A) B)))
(/.f64 (sqrt.f64 2) B)
(fma.f64 1/2 (*.f64 (/.f64 A B) A) B)

Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 F (-.f64 A (fma.f64 1/2 (.f64 A (/.f64 A B)) B))) (.f64 F (fma.f64 (neg.f64 (fma.f64 1/2 (.f64 A (/.f64 A B)) B)) 1 (fma.f64 1/2 (.f64 A (/.f64 A B)) B))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 F (-.f64 A (fma.f64 1/2 (.f64 A (/.f64 A B)) B))) (.f64 F (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 1/2 (.f64 A (/.f64 A B)) B))) (sqrt.f64 (fma.f64 1/2 (.f64 A (/.f64 A B)) B)) (fma.f64 1/2 (.f64 A (/.f64 A B)) B))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 F (-.f64 A (fma.f64 1/2 (.f64 A (/.f64 A B)) B))) (.f64 F (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 1/2 (.f64 A (/.f64 A B)) B))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 A (/.f64 A B)) B)) 2) (fma.f64 1/2 (.f64 A (/.f64 A B)) B))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 F A) (.f64 F (neg.f64 (fma.f64 1/2 (.f64 A (/.f64 A B)) B))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 F A) (.f64 F (.f64 (neg.f64 (fma.f64 1/2 (.f64 A (/.f64 A B)) B)) 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 2) B))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 2) (/.f64 1 B))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 2) B) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (sqrt.f64 2) B))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (sqrt.f64 2) B)) (sqrt.f64 (/.f64 (sqrt.f64 2) B)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 2 1/4) (.f64 (pow.f64 2 1/4) (/.f64 1 B)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (sqrt.f64 2) B)) (cbrt.f64 (/.f64 (/.f64 2 B) B)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (/.f64 2 B) B)) (cbrt.f64 (/.f64 (sqrt.f64 2) B)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 2) (.f64 (cbrt.f64 (sqrt.f64 2)) (/.f64 1 B)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 B) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (sqrt.f64 2)) (/.f64 -1 B))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 B)) (/.f64 (sqrt.f64 2) (sqrt.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 B) 2)) (/.f64 (sqrt.f64 2) (cbrt.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 B) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 2 1/4) 1) (/.f64 (pow.f64 2 1/4) B))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 2 1/4) B) (pow.f64 2 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 2 1/4) (pow.f64 (cbrt.f64 B) 2)) (/.f64 (pow.f64 2 1/4) (cbrt.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 2) 1) (/.f64 (cbrt.f64 (sqrt.f64 2)) B))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 2) (sqrt.f64 B)) (/.f64 (cbrt.f64 (sqrt.f64 2)) (sqrt.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 2) (pow.f64 (cbrt.f64 B) 2)) (cbrt.f64 (/.f64 (sqrt.f64 2) B)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 2) B) (cbrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (/.f64 B (cbrt.f64 2))) (cbrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 2) B) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) B)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) B)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 2) B) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 B (sqrt.f64 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sqrt.f64 2) (neg.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (/.f64 2 B) B))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sqrt.f64 2) B)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 2) B))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 2) B) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (.f64 2 (sqrt.f64 2)) (pow.f64 B 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 2) B)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sqrt.f64 2) B)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 2) B)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 2) B)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 B (.f64 1/2 (.f64 A (/.f64 A B))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 B (.f64 (.f64 1/2 (.f64 A (/.f64 A B))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/2 (.f64 A (/.f64 A B))) B)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 1/2 (.f64 A (/.f64 A B))) 1) B)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1 (.f64 (.f64 1/2 (.f64 A (/.f64 A B))) 1)) B)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 (.f64 A (/.f64 A B)) B))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 B)) (-.f64 1 (.f64 1/2 (.f64 A (/.f64 A B)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 1/2 (.f64 A (/.f64 A B))) (exp.f64 (log1p.f64 B))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 (.f64 1/2 (.f64 A (/.f64 A B))) 1) (exp.f64 (log1p.f64 B))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 1/2 (.f64 A (/.f64 A B)) B) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 1/2 (.f64 A (/.f64 A B)) B))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 1/2 (.f64 A (/.f64 A B)) B)) (sqrt.f64 (fma.f64 1/2 (.f64 A (/.f64 A B)) B)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 1/2 (.f64 A (/.f64 A B)) B)) (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 A (/.f64 A B)) B)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 A (/.f64 A B)) B)) 2) (cbrt.f64 (fma.f64 1/2 (.f64 A (/.f64 A B)) B)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 1/2 (.f64 A (/.f64 A B))) (.f64 1/2 (.f64 A (/.f64 A B)))) (.f64 B B)) (-.f64 (.f64 1/2 (.f64 A (/.f64 A B))) B))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 B 3) (pow.f64 (.f64 1/2 (.f64 A (/.f64 A B))) 3)) (+.f64 (.f64 (.f64 1/2 (.f64 A (/.f64 A B))) (.f64 1/2 (.f64 A (/.f64 A B)))) (-.f64 (.f64 B B) (.f64 (.f64 1/2 (.f64 A (/.f64 A B))) B))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/2 (.f64 A (/.f64 A B)) B) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/2 (.f64 A (/.f64 A B)) B)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 A (/.f64 A B)) B)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/2 (.f64 A (/.f64 A B)) B) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/2 (.f64 A (/.f64 A B)) B) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/2 (.f64 A (/.f64 A B)) B)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 (.f64 A (/.f64 A B)) B))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/2 (.f64 A (/.f64 A B)) B) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/2 (.f64 A (/.f64 A B)) B)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/2 (.f64 A (/.f64 A B)) B)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 1/2 (.f64 A (/.f64 A B)) B)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/2 (*.f64 A (/.f64 A B)) B)))))))

simplify114.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1712×	`associate-*r/`
1568×	`associate-/r*`
1420×	`associate-*l/`
524×	`associate-r`
512×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	416	8781
1	1078	8423
2	4393	8411

Stop Event

1×	node limit

Counts

207 → 253

Calls

Call 1

Inputs
(.f64 (sqrt.f64 -1) (sqrt.f64 (.f64 F B)))
(+.f64 (.f64 1/2 (.f64 (/.f64 A (sqrt.f64 -1)) (sqrt.f64 (/.f64 F B)))) (.f64 (sqrt.f64 -1) (sqrt.f64 (.f64 F B))))
(+.f64 (.f64 1/2 (.f64 (/.f64 (.f64 (pow.f64 A 2) (-.f64 (.f64 -1/2 (/.f64 F B)) (pow.f64 (.f64 1/2 (.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 F B)))) 2))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (.f64 F B))))) (+.f64 (.f64 1/2 (.f64 (/.f64 A (sqrt.f64 -1)) (sqrt.f64 (/.f64 F B)))) (.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 F B)))))
(+.f64 (.f64 1/2 (.f64 (/.f64 (.f64 (pow.f64 A 2) (-.f64 (.f64 -1/2 (/.f64 F B)) (pow.f64 (.f64 1/2 (.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 F B)))) 2))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (.f64 F B))))) (+.f64 (.f64 -1/4 (.f64 (/.f64 (.f64 (pow.f64 A 3) (-.f64 (.f64 -1/2 (/.f64 F B)) (pow.f64 (.f64 1/2 (.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 F B)))) 2))) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (.f64 F (pow.f64 B 3)))))) (+.f64 (.f64 1/2 (.f64 (/.f64 A (sqrt.f64 -1)) (sqrt.f64 (/.f64 F B)))) (.f64 (sqrt.f64 -1) (sqrt.f64 (.f64 F B))))))
(.f64 (.f64 A (sqrt.f64 -1/2)) (sqrt.f64 (/.f64 F B)))
(+.f64 (.f64 (.f64 A (sqrt.f64 -1/2)) (sqrt.f64 (/.f64 F B))) (.f64 1/2 (.f64 (sqrt.f64 (*.f64 F B)) (/.f64 1 (sqrt.f64 -1/2)))))
(+.f64 (.f64 (.f64 A (sqrt.f64 -1/2)) (sqrt.f64 (/.f64 F B))) (+.f64 (.f64 1/2 (.f64 (/.f64 (-.f64 (.f64 -1 (.f64 F B)) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (.f64 F B)) (/.f64 1 (sqrt.f64 -1/2)))) 2)) (.f64 A (sqrt.f64 -1/2))) (sqrt.f64 (/.f64 B F)))) (.f64 1/2 (.f64 (sqrt.f64 (*.f64 F B)) (/.f64 1 (sqrt.f64 -1/2))))))
(+.f64 (.f64 -1/4 (.f64 (/.f64 (-.f64 (.f64 -1 (.f64 F B)) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (.f64 F B)) (/.f64 1 (sqrt.f64 -1/2)))) 2)) (.f64 (pow.f64 A 2) (pow.f64 (sqrt.f64 -1/2) 3))) (sqrt.f64 (/.f64 (pow.f64 B 3) F)))) (+.f64 (.f64 (.f64 A (sqrt.f64 -1/2)) (sqrt.f64 (/.f64 F B))) (+.f64 (.f64 1/2 (.f64 (/.f64 (-.f64 (.f64 -1 (.f64 F B)) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (.f64 F B)) (/.f64 1 (sqrt.f64 -1/2)))) 2)) (.f64 A (sqrt.f64 -1/2))) (sqrt.f64 (/.f64 B F)))) (.f64 1/2 (.f64 (sqrt.f64 (*.f64 F B)) (/.f64 1 (sqrt.f64 -1/2)))))))
(.f64 -1 (.f64 (.f64 A (.f64 (sqrt.f64 -1) (sqrt.f64 1/2))) (sqrt.f64 (/.f64 F B))))
(+.f64 (.f64 -1 (.f64 (.f64 A (.f64 (sqrt.f64 -1) (sqrt.f64 1/2))) (sqrt.f64 (/.f64 F B)))) (.f64 1/2 (.f64 (/.f64 (sqrt.f64 -1) (sqrt.f64 1/2)) (sqrt.f64 (*.f64 F B)))))
(+.f64 (.f64 -1/2 (.f64 (/.f64 (.f64 (-.f64 (.f64 F B) (pow.f64 (.f64 1/2 (.f64 (/.f64 1 (sqrt.f64 1/2)) (sqrt.f64 (.f64 F B)))) 2)) (sqrt.f64 -1)) (.f64 A (sqrt.f64 1/2))) (sqrt.f64 (/.f64 B F)))) (+.f64 (.f64 -1 (.f64 (.f64 A (.f64 (sqrt.f64 -1) (sqrt.f64 1/2))) (sqrt.f64 (/.f64 F B)))) (.f64 1/2 (.f64 (/.f64 (sqrt.f64 -1) (sqrt.f64 1/2)) (sqrt.f64 (*.f64 F B))))))
(+.f64 (.f64 -1/4 (.f64 (/.f64 (.f64 (-.f64 (.f64 F B) (pow.f64 (.f64 1/2 (.f64 (/.f64 1 (sqrt.f64 1/2)) (sqrt.f64 (.f64 F B)))) 2)) (sqrt.f64 -1)) (.f64 (pow.f64 A 2) (pow.f64 (sqrt.f64 1/2) 3))) (sqrt.f64 (/.f64 (pow.f64 B 3) F)))) (+.f64 (.f64 -1/2 (.f64 (/.f64 (.f64 (-.f64 (.f64 F B) (pow.f64 (.f64 1/2 (.f64 (/.f64 1 (sqrt.f64 1/2)) (sqrt.f64 (.f64 F B)))) 2)) (sqrt.f64 -1)) (.f64 A (sqrt.f64 1/2))) (sqrt.f64 (/.f64 B F)))) (+.f64 (.f64 -1 (.f64 (.f64 A (.f64 (sqrt.f64 -1) (sqrt.f64 1/2))) (sqrt.f64 (/.f64 F B)))) (.f64 1/2 (.f64 (/.f64 (sqrt.f64 -1) (sqrt.f64 1/2)) (sqrt.f64 (*.f64 F B)))))))
(.f64 F (-.f64 A (+.f64 (.f64 1/2 (/.f64 (pow.f64 A 2) B)) B)))
(.f64 F (-.f64 A (+.f64 (.f64 1/2 (/.f64 (pow.f64 A 2) B)) B)))
(.f64 F (-.f64 A (+.f64 (.f64 1/2 (/.f64 (pow.f64 A 2) B)) B)))
(.f64 F (-.f64 A (+.f64 (.f64 1/2 (/.f64 (pow.f64 A 2) B)) B)))
(.f64 F (-.f64 A (+.f64 (.f64 1/2 (/.f64 (pow.f64 A 2) B)) B)))
(.f64 F (-.f64 A (+.f64 (.f64 1/2 (/.f64 (pow.f64 A 2) B)) B)))
(.f64 F (-.f64 A (+.f64 (.f64 1/2 (/.f64 (pow.f64 A 2) B)) B)))
(.f64 F (-.f64 A (+.f64 (.f64 1/2 (/.f64 (pow.f64 A 2) B)) B)))
(.f64 F (-.f64 A (+.f64 (.f64 1/2 (/.f64 (pow.f64 A 2) B)) B)))
(.f64 F (-.f64 A (+.f64 (.f64 1/2 (/.f64 (pow.f64 A 2) B)) B)))
(.f64 F (-.f64 A (+.f64 (.f64 1/2 (/.f64 (pow.f64 A 2) B)) B)))
(.f64 F (-.f64 A (+.f64 (.f64 1/2 (/.f64 (pow.f64 A 2) B)) B)))
(.f64 -1 (.f64 F B))
(+.f64 (.f64 -1 (.f64 F B)) (*.f64 A F))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 A 2) F) B)) (+.f64 (.f64 -1 (.f64 F B)) (*.f64 A F)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 A 2) F) B)) (+.f64 (.f64 -1 (.f64 F B)) (*.f64 A F)))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 A 2) F) B))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 A 2) F) B)) (*.f64 A F))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 A 2) F) B)) (+.f64 (.f64 -1 (.f64 F B)) (*.f64 A F)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 A 2) F) B)) (+.f64 (.f64 -1 (.f64 F B)) (*.f64 A F)))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 A 2) F) B))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 A 2) F) B)) (*.f64 A F))
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B
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B
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B
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(-.f64 (+.f64 (.f64 1/2 (.f64 A (/.f64 A B))) (exp.f64 (log1p.f64 B))) 1)
(-.f64 (+.f64 (.f64 (.f64 1/2 (*.f64 A (/.f64 A B))) 1) (exp.f64 (log1p.f64 B))) 1)
(.f64 (fma.f64 1/2 (.f64 A (/.f64 A B)) B) 1)
(.f64 1 (fma.f64 1/2 (.f64 A (/.f64 A B)) B))
(.f64 (sqrt.f64 (fma.f64 1/2 (.f64 A (/.f64 A B)) B)) (sqrt.f64 (fma.f64 1/2 (*.f64 A (/.f64 A B)) B)))
(.f64 (cbrt.f64 (fma.f64 1/2 (.f64 A (/.f64 A B)) B)) (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 A (/.f64 A B)) B)) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 A (/.f64 A B)) B)) 2) (cbrt.f64 (fma.f64 1/2 (*.f64 A (/.f64 A B)) B)))
(/.f64 (-.f64 (.f64 (.f64 1/2 (.f64 A (/.f64 A B))) (.f64 1/2 (.f64 A (/.f64 A B)))) (.f64 B B)) (-.f64 (.f64 1/2 (.f64 A (/.f64 A B))) B))
(/.f64 (+.f64 (pow.f64 B 3) (pow.f64 (.f64 1/2 (.f64 A (/.f64 A B))) 3)) (+.f64 (.f64 (.f64 1/2 (.f64 A (/.f64 A B))) (.f64 1/2 (.f64 A (/.f64 A B)))) (-.f64 (.f64 B B) (.f64 (.f64 1/2 (*.f64 A (/.f64 A B))) B))))
(pow.f64 (fma.f64 1/2 (*.f64 A (/.f64 A B)) B) 1)
(pow.f64 (sqrt.f64 (fma.f64 1/2 (*.f64 A (/.f64 A B)) B)) 2)
(pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 A (/.f64 A B)) B)) 3)
(pow.f64 (pow.f64 (fma.f64 1/2 (*.f64 A (/.f64 A B)) B) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 A (/.f64 A B)) B) 2))
(log.f64 (exp.f64 (fma.f64 1/2 (*.f64 A (/.f64 A B)) B)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 (*.f64 A (/.f64 A B)) B))))
(cbrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 A (/.f64 A B)) B) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/2 (*.f64 A (/.f64 A B)) B)))
(exp.f64 (log.f64 (fma.f64 1/2 (*.f64 A (/.f64 A B)) B)))
(exp.f64 (.f64 (log.f64 (fma.f64 1/2 (.f64 A (/.f64 A B)) B)) 1))
(log1p.f64 (expm1.f64 (fma.f64 1/2 (*.f64 A (/.f64 A B)) B)))

Outputs
(.f64 (sqrt.f64 -1) (sqrt.f64 (.f64 F B)))
(+.f64 (.f64 1/2 (.f64 (/.f64 A (sqrt.f64 -1)) (sqrt.f64 (/.f64 F B)))) (.f64 (sqrt.f64 -1) (sqrt.f64 (.f64 F B))))
(fma.f64 1/2 (.f64 (/.f64 A (sqrt.f64 -1)) (sqrt.f64 (/.f64 F B))) (.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 F B))))
(fma.f64 (sqrt.f64 -1) (sqrt.f64 (.f64 F B)) (.f64 1/2 (/.f64 (*.f64 A (sqrt.f64 (/.f64 F B))) (sqrt.f64 -1))))
(fma.f64 (sqrt.f64 -1) (sqrt.f64 (.f64 F B)) (.f64 (sqrt.f64 (/.f64 F B)) (*.f64 1/2 (/.f64 A (sqrt.f64 -1)))))
(+.f64 (.f64 1/2 (.f64 (/.f64 (.f64 (pow.f64 A 2) (-.f64 (.f64 -1/2 (/.f64 F B)) (pow.f64 (.f64 1/2 (.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 F B)))) 2))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (.f64 F B))))) (+.f64 (.f64 1/2 (.f64 (/.f64 A (sqrt.f64 -1)) (sqrt.f64 (/.f64 F B)))) (.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 F B)))))
(fma.f64 1/2 (.f64 (/.f64 (.f64 A A) (/.f64 (sqrt.f64 -1) (-.f64 (.f64 (/.f64 F B) -1/2) (pow.f64 (.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (sqrt.f64 (/.f64 F B))) 2)))) (sqrt.f64 (/.f64 1 (.f64 F B)))) (fma.f64 1/2 (.f64 (/.f64 A (sqrt.f64 -1)) (sqrt.f64 (/.f64 F B))) (.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 F B)))))
(fma.f64 (/.f64 (.f64 1/2 (.f64 A A)) (/.f64 (sqrt.f64 -1) (-.f64 (.f64 (/.f64 F B) -1/2) (pow.f64 (.f64 1/2 (/.f64 (sqrt.f64 (/.f64 F B)) (sqrt.f64 -1))) 2)))) (sqrt.f64 (/.f64 1 (.f64 F B))) (fma.f64 (sqrt.f64 -1) (sqrt.f64 (.f64 F B)) (.f64 1/2 (/.f64 (.f64 A (sqrt.f64 (/.f64 F B))) (sqrt.f64 -1)))))
(fma.f64 1/2 (/.f64 (.f64 (.f64 A A) (sqrt.f64 (/.f64 1 (.f64 F B)))) (/.f64 (sqrt.f64 -1) (-.f64 (.f64 (/.f64 F B) -1/2) (pow.f64 (.f64 (sqrt.f64 (/.f64 F B)) (/.f64 1/2 (sqrt.f64 -1))) 2)))) (fma.f64 (sqrt.f64 -1) (sqrt.f64 (.f64 F B)) (.f64 (sqrt.f64 (/.f64 F B)) (.f64 1/2 (/.f64 A (sqrt.f64 -1))))))
(+.f64 (.f64 1/2 (.f64 (/.f64 (.f64 (pow.f64 A 2) (-.f64 (.f64 -1/2 (/.f64 F B)) (pow.f64 (.f64 1/2 (.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 F B)))) 2))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (.f64 F B))))) (+.f64 (.f64 -1/4 (.f64 (/.f64 (.f64 (pow.f64 A 3) (-.f64 (.f64 -1/2 (/.f64 F B)) (pow.f64 (.f64 1/2 (.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 F B)))) 2))) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (.f64 F (pow.f64 B 3)))))) (+.f64 (.f64 1/2 (.f64 (/.f64 A (sqrt.f64 -1)) (sqrt.f64 (/.f64 F B)))) (.f64 (sqrt.f64 -1) (sqrt.f64 (.f64 F B))))))
(fma.f64 1/2 (.f64 (/.f64 (.f64 A A) (/.f64 (sqrt.f64 -1) (-.f64 (.f64 (/.f64 F B) -1/2) (pow.f64 (.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (sqrt.f64 (/.f64 F B))) 2)))) (sqrt.f64 (/.f64 1 (.f64 F B)))) (fma.f64 -1/4 (.f64 (/.f64 (pow.f64 A 3) (/.f64 (pow.f64 (sqrt.f64 -1) 3) (-.f64 (.f64 (/.f64 F B) -1/2) (pow.f64 (.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (sqrt.f64 (/.f64 F B))) 2)))) (sqrt.f64 (/.f64 (/.f64 1 F) (pow.f64 B 3)))) (fma.f64 1/2 (.f64 (/.f64 A (sqrt.f64 -1)) (sqrt.f64 (/.f64 F B))) (.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 F B))))))
(fma.f64 1/2 (/.f64 (.f64 A (.f64 A (-.f64 (.f64 (/.f64 F B) -1/2) (pow.f64 (.f64 1/2 (/.f64 (sqrt.f64 (/.f64 F B)) (sqrt.f64 -1))) 2)))) (/.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (.f64 F B))))) (fma.f64 -1/4 (.f64 (.f64 (/.f64 (pow.f64 A 3) (.f64 -1 (sqrt.f64 -1))) (-.f64 (.f64 (/.f64 F B) -1/2) (pow.f64 (.f64 1/2 (/.f64 (sqrt.f64 (/.f64 F B)) (sqrt.f64 -1))) 2))) (sqrt.f64 (/.f64 1 (.f64 F (pow.f64 B 3))))) (fma.f64 (sqrt.f64 -1) (sqrt.f64 (.f64 F B)) (.f64 1/2 (/.f64 (.f64 A (sqrt.f64 (/.f64 F B))) (sqrt.f64 -1))))))
(fma.f64 1/2 (/.f64 (.f64 (.f64 A A) (sqrt.f64 (/.f64 1 (.f64 F B)))) (/.f64 (sqrt.f64 -1) (-.f64 (.f64 (/.f64 F B) -1/2) (pow.f64 (.f64 (sqrt.f64 (/.f64 F B)) (/.f64 1/2 (sqrt.f64 -1))) 2)))) (fma.f64 (/.f64 (.f64 -1/4 (-.f64 (.f64 (/.f64 F B) -1/2) (pow.f64 (.f64 (sqrt.f64 (/.f64 F B)) (/.f64 1/2 (sqrt.f64 -1))) 2))) (/.f64 (.f64 -1 (sqrt.f64 -1)) (pow.f64 A 3))) (sqrt.f64 (/.f64 (/.f64 1 F) (pow.f64 B 3))) (fma.f64 (sqrt.f64 -1) (sqrt.f64 (.f64 F B)) (.f64 (sqrt.f64 (/.f64 F B)) (.f64 1/2 (/.f64 A (sqrt.f64 -1)))))))
(.f64 (.f64 A (sqrt.f64 -1/2)) (sqrt.f64 (/.f64 F B)))
(.f64 A (.f64 (sqrt.f64 -1/2) (sqrt.f64 (/.f64 F B))))
(.f64 A (.f64 (sqrt.f64 (/.f64 F B)) (sqrt.f64 -1/2)))
(.f64 (sqrt.f64 (/.f64 F B)) (.f64 A (sqrt.f64 -1/2)))
(+.f64 (.f64 (.f64 A (sqrt.f64 -1/2)) (sqrt.f64 (/.f64 F B))) (.f64 1/2 (.f64 (sqrt.f64 (*.f64 F B)) (/.f64 1 (sqrt.f64 -1/2)))))
(fma.f64 (.f64 A (sqrt.f64 -1/2)) (sqrt.f64 (/.f64 F B)) (.f64 1/2 (.f64 (sqrt.f64 (.f64 F B)) (/.f64 1 (sqrt.f64 -1/2)))))
(fma.f64 1/2 (/.f64 (sqrt.f64 (.f64 F B)) (sqrt.f64 -1/2)) (.f64 A (*.f64 (sqrt.f64 (/.f64 F B)) (sqrt.f64 -1/2))))
(fma.f64 1/2 (/.f64 (sqrt.f64 (.f64 F B)) (sqrt.f64 -1/2)) (.f64 (sqrt.f64 (/.f64 F B)) (*.f64 A (sqrt.f64 -1/2))))
(+.f64 (.f64 (.f64 A (sqrt.f64 -1/2)) (sqrt.f64 (/.f64 F B))) (+.f64 (.f64 1/2 (.f64 (/.f64 (-.f64 (.f64 -1 (.f64 F B)) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (.f64 F B)) (/.f64 1 (sqrt.f64 -1/2)))) 2)) (.f64 A (sqrt.f64 -1/2))) (sqrt.f64 (/.f64 B F)))) (.f64 1/2 (.f64 (sqrt.f64 (*.f64 F B)) (/.f64 1 (sqrt.f64 -1/2))))))
(fma.f64 (.f64 A (sqrt.f64 -1/2)) (sqrt.f64 (/.f64 F B)) (.f64 1/2 (+.f64 (/.f64 (.f64 (-.f64 (neg.f64 (.f64 F B)) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (.f64 F B)) (/.f64 1 (sqrt.f64 -1/2)))) 2)) (sqrt.f64 (/.f64 B F))) (.f64 A (sqrt.f64 -1/2))) (.f64 (sqrt.f64 (.f64 F B)) (/.f64 1 (sqrt.f64 -1/2))))))
(fma.f64 1/2 (fma.f64 (/.f64 (-.f64 (.f64 F (neg.f64 B)) (pow.f64 (.f64 1/2 (/.f64 (sqrt.f64 (.f64 F B)) (sqrt.f64 -1/2))) 2)) (.f64 A (sqrt.f64 -1/2))) (sqrt.f64 (/.f64 B F)) (/.f64 (sqrt.f64 (.f64 F B)) (sqrt.f64 -1/2))) (.f64 A (*.f64 (sqrt.f64 (/.f64 F B)) (sqrt.f64 -1/2))))
(fma.f64 1/2 (fma.f64 (/.f64 (-.f64 (.f64 B (neg.f64 F)) (pow.f64 (.f64 (sqrt.f64 (.f64 F B)) (/.f64 1/2 (sqrt.f64 -1/2))) 2)) (.f64 A (sqrt.f64 -1/2))) (sqrt.f64 (/.f64 B F)) (/.f64 (sqrt.f64 (.f64 F B)) (sqrt.f64 -1/2))) (.f64 (sqrt.f64 (/.f64 F B)) (*.f64 A (sqrt.f64 -1/2))))
(+.f64 (.f64 -1/4 (.f64 (/.f64 (-.f64 (.f64 -1 (.f64 F B)) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (.f64 F B)) (/.f64 1 (sqrt.f64 -1/2)))) 2)) (.f64 (pow.f64 A 2) (pow.f64 (sqrt.f64 -1/2) 3))) (sqrt.f64 (/.f64 (pow.f64 B 3) F)))) (+.f64 (.f64 (.f64 A (sqrt.f64 -1/2)) (sqrt.f64 (/.f64 F B))) (+.f64 (.f64 1/2 (.f64 (/.f64 (-.f64 (.f64 -1 (.f64 F B)) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (.f64 F B)) (/.f64 1 (sqrt.f64 -1/2)))) 2)) (.f64 A (sqrt.f64 -1/2))) (sqrt.f64 (/.f64 B F)))) (.f64 1/2 (.f64 (sqrt.f64 (*.f64 F B)) (/.f64 1 (sqrt.f64 -1/2)))))))
(fma.f64 -1/4 (/.f64 (.f64 (-.f64 (neg.f64 (.f64 F B)) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (.f64 F B)) (/.f64 1 (sqrt.f64 -1/2)))) 2)) (sqrt.f64 (/.f64 (pow.f64 B 3) F))) (.f64 (.f64 A A) (pow.f64 (sqrt.f64 -1/2) 3))) (fma.f64 (.f64 A (sqrt.f64 -1/2)) (sqrt.f64 (/.f64 F B)) (.f64 1/2 (+.f64 (/.f64 (.f64 (-.f64 (neg.f64 (.f64 F B)) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (.f64 F B)) (/.f64 1 (sqrt.f64 -1/2)))) 2)) (sqrt.f64 (/.f64 B F))) (.f64 A (sqrt.f64 -1/2))) (.f64 (sqrt.f64 (*.f64 F B)) (/.f64 1 (sqrt.f64 -1/2)))))))
(fma.f64 -1/4 (.f64 (/.f64 (-.f64 (.f64 F (neg.f64 B)) (pow.f64 (.f64 1/2 (/.f64 (sqrt.f64 (.f64 F B)) (sqrt.f64 -1/2))) 2)) (.f64 A A)) (/.f64 (sqrt.f64 (/.f64 (pow.f64 B 3) F)) (.f64 -1/2 (sqrt.f64 -1/2)))) (fma.f64 1/2 (fma.f64 (/.f64 (-.f64 (.f64 F (neg.f64 B)) (pow.f64 (.f64 1/2 (/.f64 (sqrt.f64 (.f64 F B)) (sqrt.f64 -1/2))) 2)) (.f64 A (sqrt.f64 -1/2))) (sqrt.f64 (/.f64 B F)) (/.f64 (sqrt.f64 (.f64 F B)) (sqrt.f64 -1/2))) (.f64 A (*.f64 (sqrt.f64 (/.f64 F B)) (sqrt.f64 -1/2)))))
(fma.f64 -1/4 (.f64 (/.f64 (-.f64 (.f64 B (neg.f64 F)) (pow.f64 (.f64 (sqrt.f64 (.f64 F B)) (/.f64 1/2 (sqrt.f64 -1/2))) 2)) (.f64 A A)) (/.f64 (sqrt.f64 (/.f64 (pow.f64 B 3) F)) (.f64 -1/2 (sqrt.f64 -1/2)))) (fma.f64 1/2 (fma.f64 (/.f64 (-.f64 (.f64 B (neg.f64 F)) (pow.f64 (.f64 (sqrt.f64 (.f64 F B)) (/.f64 1/2 (sqrt.f64 -1/2))) 2)) (.f64 A (sqrt.f64 -1/2))) (sqrt.f64 (/.f64 B F)) (/.f64 (sqrt.f64 (.f64 F B)) (sqrt.f64 -1/2))) (.f64 (sqrt.f64 (/.f64 F B)) (*.f64 A (sqrt.f64 -1/2)))))
(.f64 -1 (.f64 (.f64 A (.f64 (sqrt.f64 -1) (sqrt.f64 1/2))) (sqrt.f64 (/.f64 F B))))
(neg.f64 (.f64 (sqrt.f64 (/.f64 F B)) (.f64 (*.f64 A (sqrt.f64 -1)) (sqrt.f64 1/2))))
(neg.f64 (.f64 (sqrt.f64 (/.f64 F B)) (.f64 (sqrt.f64 1/2) (*.f64 (sqrt.f64 -1) A))))
(.f64 (sqrt.f64 (/.f64 F B)) (neg.f64 (.f64 (sqrt.f64 -1) (*.f64 A (sqrt.f64 1/2)))))
(+.f64 (.f64 -1 (.f64 (.f64 A (.f64 (sqrt.f64 -1) (sqrt.f64 1/2))) (sqrt.f64 (/.f64 F B)))) (.f64 1/2 (.f64 (/.f64 (sqrt.f64 -1) (sqrt.f64 1/2)) (sqrt.f64 (*.f64 F B)))))
(fma.f64 -1 (.f64 (sqrt.f64 (/.f64 F B)) (.f64 (.f64 A (sqrt.f64 -1)) (sqrt.f64 1/2))) (.f64 (.f64 1/2 (/.f64 (sqrt.f64 -1) (sqrt.f64 1/2))) (sqrt.f64 (.f64 F B))))
(-.f64 (.f64 (sqrt.f64 (.f64 F B)) (.f64 1/2 (/.f64 (sqrt.f64 -1) (sqrt.f64 1/2)))) (.f64 (sqrt.f64 (/.f64 F B)) (.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 -1) A))))
(-.f64 (/.f64 (.f64 (sqrt.f64 (.f64 F B)) (.f64 1/2 (sqrt.f64 -1))) (sqrt.f64 1/2)) (.f64 (sqrt.f64 (/.f64 F B)) (.f64 (sqrt.f64 -1) (.f64 A (sqrt.f64 1/2)))))
(+.f64 (.f64 -1/2 (.f64 (/.f64 (.f64 (-.f64 (.f64 F B) (pow.f64 (.f64 1/2 (.f64 (/.f64 1 (sqrt.f64 1/2)) (sqrt.f64 (.f64 F B)))) 2)) (sqrt.f64 -1)) (.f64 A (sqrt.f64 1/2))) (sqrt.f64 (/.f64 B F)))) (+.f64 (.f64 -1 (.f64 (.f64 A (.f64 (sqrt.f64 -1) (sqrt.f64 1/2))) (sqrt.f64 (/.f64 F B)))) (.f64 1/2 (.f64 (/.f64 (sqrt.f64 -1) (sqrt.f64 1/2)) (sqrt.f64 (*.f64 F B))))))
(fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 B F)) (.f64 (/.f64 (-.f64 (.f64 F B) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (.f64 F B)) (/.f64 1 (sqrt.f64 1/2)))) 2)) A) (/.f64 (sqrt.f64 -1) (sqrt.f64 1/2)))) (fma.f64 -1 (.f64 (sqrt.f64 (/.f64 F B)) (.f64 (.f64 A (sqrt.f64 -1)) (sqrt.f64 1/2))) (.f64 (.f64 1/2 (/.f64 (sqrt.f64 -1) (sqrt.f64 1/2))) (sqrt.f64 (.f64 F B)))))
(fma.f64 -1/2 (.f64 (/.f64 (-.f64 (.f64 F B) (pow.f64 (.f64 (sqrt.f64 (.f64 F B)) (/.f64 1/2 (sqrt.f64 1/2))) 2)) A) (.f64 (/.f64 (sqrt.f64 -1) (sqrt.f64 1/2)) (sqrt.f64 (/.f64 B F)))) (-.f64 (.f64 (sqrt.f64 (.f64 F B)) (.f64 1/2 (/.f64 (sqrt.f64 -1) (sqrt.f64 1/2)))) (.f64 (sqrt.f64 (/.f64 F B)) (.f64 (sqrt.f64 1/2) (*.f64 (sqrt.f64 -1) A)))))
(fma.f64 -1/2 (.f64 (.f64 (/.f64 (-.f64 (.f64 F B) (pow.f64 (.f64 (sqrt.f64 (.f64 F B)) (/.f64 1/2 (sqrt.f64 1/2))) 2)) A) (sqrt.f64 -1)) (/.f64 (sqrt.f64 (/.f64 B F)) (sqrt.f64 1/2))) (-.f64 (/.f64 (.f64 (sqrt.f64 (.f64 F B)) (.f64 1/2 (sqrt.f64 -1))) (sqrt.f64 1/2)) (.f64 (sqrt.f64 (/.f64 F B)) (.f64 (sqrt.f64 -1) (*.f64 A (sqrt.f64 1/2))))))
(+.f64 (.f64 -1/4 (.f64 (/.f64 (.f64 (-.f64 (.f64 F B) (pow.f64 (.f64 1/2 (.f64 (/.f64 1 (sqrt.f64 1/2)) (sqrt.f64 (.f64 F B)))) 2)) (sqrt.f64 -1)) (.f64 (pow.f64 A 2) (pow.f64 (sqrt.f64 1/2) 3))) (sqrt.f64 (/.f64 (pow.f64 B 3) F)))) (+.f64 (.f64 -1/2 (.f64 (/.f64 (.f64 (-.f64 (.f64 F B) (pow.f64 (.f64 1/2 (.f64 (/.f64 1 (sqrt.f64 1/2)) (sqrt.f64 (.f64 F B)))) 2)) (sqrt.f64 -1)) (.f64 A (sqrt.f64 1/2))) (sqrt.f64 (/.f64 B F)))) (+.f64 (.f64 -1 (.f64 (.f64 A (.f64 (sqrt.f64 -1) (sqrt.f64 1/2))) (sqrt.f64 (/.f64 F B)))) (.f64 1/2 (.f64 (/.f64 (sqrt.f64 -1) (sqrt.f64 1/2)) (sqrt.f64 (*.f64 F B)))))))
(fma.f64 -1/4 (.f64 (sqrt.f64 (/.f64 (pow.f64 B 3) F)) (.f64 (/.f64 (-.f64 (.f64 F B) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (.f64 F B)) (/.f64 1 (sqrt.f64 1/2)))) 2)) (.f64 A A)) (/.f64 (sqrt.f64 -1) (pow.f64 (sqrt.f64 1/2) 3)))) (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 B F)) (.f64 (/.f64 (-.f64 (.f64 F B) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (.f64 F B)) (/.f64 1 (sqrt.f64 1/2)))) 2)) A) (/.f64 (sqrt.f64 -1) (sqrt.f64 1/2)))) (fma.f64 -1 (.f64 (sqrt.f64 (/.f64 F B)) (.f64 (.f64 A (sqrt.f64 -1)) (sqrt.f64 1/2))) (.f64 (.f64 1/2 (/.f64 (sqrt.f64 -1) (sqrt.f64 1/2))) (sqrt.f64 (*.f64 F B))))))
(fma.f64 -1/4 (.f64 (/.f64 (-.f64 (.f64 F B) (pow.f64 (.f64 (sqrt.f64 (.f64 F B)) (/.f64 1/2 (sqrt.f64 1/2))) 2)) (/.f64 (.f64 A A) (sqrt.f64 -1))) (/.f64 (sqrt.f64 (/.f64 (pow.f64 B 3) F)) (.f64 1/2 (sqrt.f64 1/2)))) (fma.f64 -1/2 (.f64 (/.f64 (-.f64 (.f64 F B) (pow.f64 (.f64 (sqrt.f64 (.f64 F B)) (/.f64 1/2 (sqrt.f64 1/2))) 2)) A) (.f64 (/.f64 (sqrt.f64 -1) (sqrt.f64 1/2)) (sqrt.f64 (/.f64 B F)))) (-.f64 (.f64 (sqrt.f64 (.f64 F B)) (.f64 1/2 (/.f64 (sqrt.f64 -1) (sqrt.f64 1/2)))) (.f64 (sqrt.f64 (/.f64 F B)) (.f64 (sqrt.f64 1/2) (*.f64 (sqrt.f64 -1) A))))))
(fma.f64 -1/4 (.f64 (.f64 (/.f64 (-.f64 (.f64 F B) (pow.f64 (.f64 (sqrt.f64 (.f64 F B)) (/.f64 1/2 (sqrt.f64 1/2))) 2)) A) (/.f64 (sqrt.f64 -1) A)) (/.f64 (sqrt.f64 (/.f64 (pow.f64 B 3) F)) (.f64 1/2 (sqrt.f64 1/2)))) (fma.f64 -1/2 (.f64 (.f64 (/.f64 (-.f64 (.f64 F B) (pow.f64 (.f64 (sqrt.f64 (.f64 F B)) (/.f64 1/2 (sqrt.f64 1/2))) 2)) A) (sqrt.f64 -1)) (/.f64 (sqrt.f64 (/.f64 B F)) (sqrt.f64 1/2))) (-.f64 (/.f64 (.f64 (sqrt.f64 (.f64 F B)) (.f64 1/2 (sqrt.f64 -1))) (sqrt.f64 1/2)) (.f64 (sqrt.f64 (/.f64 F B)) (.f64 (sqrt.f64 -1) (*.f64 A (sqrt.f64 1/2)))))))
(.f64 F (-.f64 A (+.f64 (.f64 1/2 (/.f64 (pow.f64 A 2) B)) B)))
(.f64 F (-.f64 A (fma.f64 1/2 (.f64 A (/.f64 A B)) B)))
(*.f64 F (-.f64 A (fma.f64 1/2 (/.f64 A (/.f64 B A)) B)))
(.f64 F (-.f64 A (+.f64 (.f64 1/2 (/.f64 (pow.f64 A 2) B)) B)))
(.f64 F (-.f64 A (fma.f64 1/2 (.f64 A (/.f64 A B)) B)))
(*.f64 F (-.f64 A (fma.f64 1/2 (/.f64 A (/.f64 B A)) B)))
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B
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B
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B
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(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 2) B)) 1))
(/.f64 (sqrt.f64 2) B)
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 2) B)))
(/.f64 (sqrt.f64 2) B)
(+.f64 B (.f64 1/2 (.f64 A (/.f64 A B))))
(fma.f64 1/2 (*.f64 A (/.f64 A B)) B)
(fma.f64 1/2 (/.f64 A (/.f64 B A)) B)
(+.f64 B (.f64 (.f64 1/2 (*.f64 A (/.f64 A B))) 1))
(fma.f64 1/2 (*.f64 A (/.f64 A B)) B)
(fma.f64 1/2 (/.f64 A (/.f64 B A)) B)
(+.f64 (.f64 1/2 (.f64 A (/.f64 A B))) B)
(fma.f64 1/2 (*.f64 A (/.f64 A B)) B)
(fma.f64 1/2 (/.f64 A (/.f64 B A)) B)
(+.f64 (.f64 (.f64 1/2 (*.f64 A (/.f64 A B))) 1) B)
(fma.f64 1/2 (*.f64 A (/.f64 A B)) B)
(fma.f64 1/2 (/.f64 A (/.f64 B A)) B)
(+.f64 (.f64 1 (.f64 (.f64 1/2 (.f64 A (/.f64 A B))) 1)) B)
(fma.f64 1/2 (*.f64 A (/.f64 A B)) B)
(fma.f64 1/2 (/.f64 A (/.f64 B A)) B)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 (*.f64 A (/.f64 A B)) B))) 1)
(fma.f64 1/2 (*.f64 A (/.f64 A B)) B)
(fma.f64 1/2 (/.f64 A (/.f64 B A)) B)
(-.f64 (exp.f64 (log1p.f64 B)) (-.f64 1 (.f64 1/2 (.f64 A (/.f64 A B)))))
(+.f64 (-.f64 (exp.f64 (log1p.f64 B)) 1) (.f64 1/2 (.f64 A (/.f64 A B))))
(fma.f64 1/2 (*.f64 A (/.f64 A B)) (expm1.f64 (log1p.f64 B)))
(fma.f64 1/2 (/.f64 A (/.f64 B A)) (expm1.f64 (log1p.f64 B)))
(-.f64 (+.f64 (.f64 1/2 (.f64 A (/.f64 A B))) (exp.f64 (log1p.f64 B))) 1)
(+.f64 (-.f64 (exp.f64 (log1p.f64 B)) 1) (.f64 1/2 (.f64 A (/.f64 A B))))
(fma.f64 1/2 (*.f64 A (/.f64 A B)) (expm1.f64 (log1p.f64 B)))
(fma.f64 1/2 (/.f64 A (/.f64 B A)) (expm1.f64 (log1p.f64 B)))
(-.f64 (+.f64 (.f64 (.f64 1/2 (*.f64 A (/.f64 A B))) 1) (exp.f64 (log1p.f64 B))) 1)
(+.f64 (-.f64 (exp.f64 (log1p.f64 B)) 1) (.f64 1/2 (.f64 A (/.f64 A B))))
(fma.f64 1/2 (*.f64 A (/.f64 A B)) (expm1.f64 (log1p.f64 B)))
(fma.f64 1/2 (/.f64 A (/.f64 B A)) (expm1.f64 (log1p.f64 B)))
(.f64 (fma.f64 1/2 (.f64 A (/.f64 A B)) B) 1)
(fma.f64 1/2 (*.f64 A (/.f64 A B)) B)
(fma.f64 1/2 (/.f64 A (/.f64 B A)) B)
(.f64 1 (fma.f64 1/2 (.f64 A (/.f64 A B)) B))
(fma.f64 1/2 (*.f64 A (/.f64 A B)) B)
(fma.f64 1/2 (/.f64 A (/.f64 B A)) B)
(.f64 (sqrt.f64 (fma.f64 1/2 (.f64 A (/.f64 A B)) B)) (sqrt.f64 (fma.f64 1/2 (*.f64 A (/.f64 A B)) B)))
(fma.f64 1/2 (*.f64 A (/.f64 A B)) B)
(fma.f64 1/2 (/.f64 A (/.f64 B A)) B)
(.f64 (cbrt.f64 (fma.f64 1/2 (.f64 A (/.f64 A B)) B)) (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 A (/.f64 A B)) B)) 2))
(fma.f64 1/2 (*.f64 A (/.f64 A B)) B)
(fma.f64 1/2 (/.f64 A (/.f64 B A)) B)
(.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 A (/.f64 A B)) B)) 2) (cbrt.f64 (fma.f64 1/2 (*.f64 A (/.f64 A B)) B)))
(fma.f64 1/2 (*.f64 A (/.f64 A B)) B)
(fma.f64 1/2 (/.f64 A (/.f64 B A)) B)
(/.f64 (-.f64 (.f64 (.f64 1/2 (.f64 A (/.f64 A B))) (.f64 1/2 (.f64 A (/.f64 A B)))) (.f64 B B)) (-.f64 (.f64 1/2 (.f64 A (/.f64 A B))) B))
(/.f64 (-.f64 (.f64 1/4 (.f64 (.f64 A (/.f64 A B)) (.f64 A (/.f64 A B)))) (.f64 B B)) (-.f64 (.f64 1/2 (*.f64 A (/.f64 A B))) B))
(/.f64 (-.f64 (.f64 (.f64 1/4 (.f64 A (/.f64 A B))) (.f64 A (/.f64 A B))) (.f64 B B)) (-.f64 (.f64 (/.f64 A B) (*.f64 1/2 A)) B))
(/.f64 (-.f64 (/.f64 (.f64 1/4 (/.f64 (pow.f64 A 3) (/.f64 B A))) B) (.f64 B B)) (fma.f64 1/2 (/.f64 A (/.f64 B A)) (neg.f64 B)))
(/.f64 (+.f64 (pow.f64 B 3) (pow.f64 (.f64 1/2 (.f64 A (/.f64 A B))) 3)) (+.f64 (.f64 (.f64 1/2 (.f64 A (/.f64 A B))) (.f64 1/2 (.f64 A (/.f64 A B)))) (-.f64 (.f64 B B) (.f64 (.f64 1/2 (*.f64 A (/.f64 A B))) B))))
(/.f64 (+.f64 (pow.f64 B 3) (.f64 1/8 (pow.f64 (.f64 A (/.f64 A B)) 3))) (+.f64 (.f64 1/4 (.f64 (.f64 A (/.f64 A B)) (.f64 A (/.f64 A B)))) (.f64 B (-.f64 B (.f64 1/2 (*.f64 A (/.f64 A B)))))))
(/.f64 (fma.f64 1/8 (pow.f64 (.f64 A (/.f64 A B)) 3) (pow.f64 B 3)) (fma.f64 B (-.f64 B (.f64 (/.f64 A B) (.f64 1/2 A))) (.f64 (.f64 1/4 (.f64 A (/.f64 A B))) (*.f64 A (/.f64 A B)))))
(/.f64 (fma.f64 1/8 (pow.f64 (/.f64 A (/.f64 B A)) 3) (pow.f64 B 3)) (fma.f64 B (+.f64 B (.f64 -1/2 (/.f64 A (/.f64 B A)))) (/.f64 (.f64 1/4 (/.f64 (pow.f64 A 3) (/.f64 B A))) B)))
(pow.f64 (fma.f64 1/2 (*.f64 A (/.f64 A B)) B) 1)
(fma.f64 1/2 (*.f64 A (/.f64 A B)) B)
(fma.f64 1/2 (/.f64 A (/.f64 B A)) B)
(pow.f64 (sqrt.f64 (fma.f64 1/2 (*.f64 A (/.f64 A B)) B)) 2)
(fma.f64 1/2 (*.f64 A (/.f64 A B)) B)
(fma.f64 1/2 (/.f64 A (/.f64 B A)) B)
(pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 A (/.f64 A B)) B)) 3)
(fma.f64 1/2 (*.f64 A (/.f64 A B)) B)
(fma.f64 1/2 (/.f64 A (/.f64 B A)) B)
(pow.f64 (pow.f64 (fma.f64 1/2 (*.f64 A (/.f64 A B)) B) 3) 1/3)
(fma.f64 1/2 (*.f64 A (/.f64 A B)) B)
(fma.f64 1/2 (/.f64 A (/.f64 B A)) B)
(sqrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 A (/.f64 A B)) B) 2))
(fabs.f64 (fma.f64 1/2 (*.f64 A (/.f64 A B)) B))
(fabs.f64 (fma.f64 1/2 (/.f64 A (/.f64 B A)) B))
(log.f64 (exp.f64 (fma.f64 1/2 (*.f64 A (/.f64 A B)) B)))
(fma.f64 1/2 (*.f64 A (/.f64 A B)) B)
(fma.f64 1/2 (/.f64 A (/.f64 B A)) B)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 (*.f64 A (/.f64 A B)) B))))
(fma.f64 1/2 (*.f64 A (/.f64 A B)) B)
(fma.f64 1/2 (/.f64 A (/.f64 B A)) B)
(cbrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 A (/.f64 A B)) B) 3))
(fma.f64 1/2 (*.f64 A (/.f64 A B)) B)
(fma.f64 1/2 (/.f64 A (/.f64 B A)) B)
(expm1.f64 (log1p.f64 (fma.f64 1/2 (*.f64 A (/.f64 A B)) B)))
(fma.f64 1/2 (*.f64 A (/.f64 A B)) B)
(fma.f64 1/2 (/.f64 A (/.f64 B A)) B)
(exp.f64 (log.f64 (fma.f64 1/2 (*.f64 A (/.f64 A B)) B)))
(fma.f64 1/2 (*.f64 A (/.f64 A B)) B)
(fma.f64 1/2 (/.f64 A (/.f64 B A)) B)
(exp.f64 (.f64 (log.f64 (fma.f64 1/2 (.f64 A (/.f64 A B)) B)) 1))
(fma.f64 1/2 (*.f64 A (/.f64 A B)) B)
(fma.f64 1/2 (/.f64 A (/.f64 B A)) B)
(log1p.f64 (expm1.f64 (fma.f64 1/2 (*.f64 A (/.f64 A B)) B)))
(fma.f64 1/2 (*.f64 A (/.f64 A B)) B)
(fma.f64 1/2 (/.f64 A (/.f64 B A)) B)

localize37.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.8b	(fma.f64 B B (.f64 A (.f64 -4 C)))
	1.0b	(-.f64 C (hypot.f64 B (-.f64 A C)))
	10.8b	(sqrt.f64 (*.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))
✓	17.8b	(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))) (.f64 (sqrt.f64 2) B))) (fma.f64 B B (.f64 A (*.f64 -4 C))))

Compiler

Compiled 141 to 45 computations (68.1% saved)

series29.0ms (0.1%)

Counts

2 → 56

Calls

21 calls:

Time	Variable		Point	Expression
4.0ms	C	@	-inf	(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))) (.f64 (sqrt.f64 2) B))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
3.0ms	C	@	inf	(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))) (.f64 (sqrt.f64 2) B))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
3.0ms	A	@	0	(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))) (.f64 (sqrt.f64 2) B))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
3.0ms	C	@	0	(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))) (.f64 (sqrt.f64 2) B))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
3.0ms	A	@	inf	(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))) (.f64 (sqrt.f64 2) B))) (fma.f64 B B (.f64 A (*.f64 -4 C))))

rewrite108.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

552×	`add-sqr-sqrt`
536×	`*-un-lft-identity`
534×	`pow1`
508×	`add-exp-log`
508×	`log1p-expm1-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	102
1	531	94
2	7444	94

Stop Event

1×	node limit

Counts

2 → 79

Calls

Call 1

Inputs
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))) (.f64 (sqrt.f64 2) B))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
(fma.f64 B B (.f64 A (.f64 -4 C)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (sqrt.f64 (*.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))) 2)) (/.f64 (fma.f64 B B (*.f64 A (*.f64 C -4))) B)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))) 2)) (/.f64 (fma.f64 B B (*.f64 A (*.f64 C -4))) B)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (fma.f64 B B (*.f64 A (*.f64 C -4)))) (/.f64 (sqrt.f64 (*.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))) 2)) (/.f64 (fma.f64 B B (*.f64 A (*.f64 C -4))) B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))) (*.f64 (*.f64 B (neg.f64 (sqrt.f64 2))) (/.f64 1 (fma.f64 B B (*.f64 A (*.f64 C -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 B (sqrt.f64 (*.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))) 2))) (/.f64 1 (fma.f64 B B (*.f64 A (*.f64 C -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 B (sqrt.f64 (*.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))) 2))) (/.f64 1 (neg.f64 (fma.f64 B B (*.f64 A (*.f64 C -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))) 2)) (/.f64 (fma.f64 B B (*.f64 A (*.f64 C -4))) B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sqrt.f64 (*.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))) 2)) (/.f64 (fma.f64 B B (*.f64 A (*.f64 C -4))) B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))) 2)) (/.f64 (fma.f64 B B (*.f64 A (*.f64 C -4))) B))) (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))) 2)) (/.f64 (fma.f64 B B (*.f64 A (*.f64 C -4))) B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 B (sqrt.f64 (*.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))) 2)))) (*.f64 (sqrt.f64 (*.f64 B (sqrt.f64 (*.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))) 2)))) (/.f64 1 (fma.f64 B B (*.f64 A (*.f64 C -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))) 2)) (/.f64 (fma.f64 B B (*.f64 A (*.f64 C -4))) B))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))) 2)) (/.f64 (fma.f64 B B (*.f64 A (*.f64 C -4))) B)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))) 2)) (/.f64 (fma.f64 B B (*.f64 A (*.f64 C -4))) B)) 2)) (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))) 2)) (/.f64 (fma.f64 B B (*.f64 A (*.f64 C -4))) B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))) (*.f64 2 (*.f64 B B)))) (*.f64 (cbrt.f64 (*.f64 B (sqrt.f64 (*.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))) 2)))) (/.f64 1 (fma.f64 B B (*.f64 A (*.f64 C -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))) (*.f64 (*.f64 B (sqrt.f64 2)) (/.f64 1 (fma.f64 B B (*.f64 A (*.f64 C -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (sqrt.f64 (*.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))) 2)) (/.f64 (fma.f64 B B (*.f64 A (*.f64 C -4))) B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 B B (*.f64 A (*.f64 C -4)))) (*.f64 B (sqrt.f64 (*.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 B (sqrt.f64 (*.f64 A (*.f64 C -4))))) (/.f64 (*.f64 B (sqrt.f64 (*.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))) 2))) (hypot.f64 B (sqrt.f64 (*.f64 A (*.f64 C -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 B B (*.f64 A (*.f64 C -4)))) 2)) (/.f64 (*.f64 B (sqrt.f64 (*.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))) 2))) (cbrt.f64 (fma.f64 B B (*.f64 A (*.f64 C -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))) 1) (/.f64 (*.f64 B (neg.f64 (sqrt.f64 2))) (fma.f64 B B (*.f64 A (*.f64 C -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))) 1) (/.f64 (*.f64 B (sqrt.f64 2)) (fma.f64 B B (*.f64 A (*.f64 C -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))) (hypot.f64 B (sqrt.f64 (*.f64 A (*.f64 C -4))))) (/.f64 (*.f64 B (neg.f64 (sqrt.f64 2))) (hypot.f64 B (sqrt.f64 (*.f64 A (*.f64 C -4))))))))) (#(struct:change #<rule egg-rr> (2) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 A (*.f64 C -4)) (*.f64 B B))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 A (*.f64 C -4)) (*.f64 (*.f64 B B) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 B B) (*.f64 A (*.f64 C -4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 B B) 1) (*.f64 A (*.f64 C -4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 B B (*.f64 A (*.f64 C -4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 B B (*.f64 A (*.f64 C -4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 B B (*.f64 A (*.f64 C -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 B (sqrt.f64 (*.f64 A (*.f64 C -4)))) (hypot.f64 B (sqrt.f64 (*.f64 A (*.f64 C -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 B B (*.f64 A (*.f64 C -4)))) (pow.f64 (cbrt.f64 (fma.f64 B B (*.f64 A (*.f64 C -4)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 B B (*.f64 A (*.f64 C -4)))) 2) (cbrt.f64 (fma.f64 B B (*.f64 A (*.f64 C -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 B B) (*.f64 B B)) (pow.f64 (*.f64 A (*.f64 C -4)) 2)) (-.f64 (*.f64 B B) (*.f64 A (*.f64 C -4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 A (*.f64 C -4)) 3) (pow.f64 (*.f64 B B) 3)) (+.f64 (*.f64 (*.f64 B B) (*.f64 B B)) (-.f64 (pow.f64 (*.f64 A (*.f64 C -4)) 2) (*.f64 (*.f64 B B) (*.f64 A (*.f64 C -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 B B (*.f64 A (*.f64 C -4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 B (sqrt.f64 (*.f64 A (*.f64 C -4)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 B B (*.f64 A (*.f64 C -4)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 B B (*.f64 A (*.f64 C -4))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 B B (*.f64 A (*.f64 C -4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 B B (*.f64 A (*.f64 C -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 B B (*.f64 A (*.f64 C -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 B B (*.f64 A (*.f64 C -4))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 B B (*.f64 A (*.f64 C -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 B B (*.f64 A (*.f64 C -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 B B (*.f64 A (*.f64 C -4)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 B B (*.f64 A (*.f64 C -4)))))))))

simplify132.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1312×	`associate-r`
1212×	`associate-l`
860×	`associate-/r*`
812×	`associate-*r/`
752×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	676	17983
1	2125	17919

Stop Event

1×	node limit

Counts

135 → 192

Calls

Call 1

Inputs
(.f64 -1 (.f64 (/.f64 (sqrt.f64 2) B) (sqrt.f64 (*.f64 (-.f64 C (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))) F))))
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(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 B B (.f64 A (.f64 C -4)))) 2)) (/.f64 (.f64 B (sqrt.f64 (.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))) 2))) (cbrt.f64 (fma.f64 B B (.f64 A (.f64 C -4))))))
(.f64 (/.f64 (sqrt.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))) 1) (/.f64 (.f64 B (neg.f64 (sqrt.f64 2))) (fma.f64 B B (.f64 A (*.f64 C -4)))))
(.f64 (/.f64 (sqrt.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))) 1) (/.f64 (.f64 B (sqrt.f64 2)) (fma.f64 B B (.f64 A (*.f64 C -4)))))
(.f64 (/.f64 (sqrt.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))) (hypot.f64 B (sqrt.f64 (.f64 A (.f64 C -4))))) (/.f64 (.f64 B (neg.f64 (sqrt.f64 2))) (hypot.f64 B (sqrt.f64 (.f64 A (*.f64 C -4))))))
(.f64 (/.f64 (sqrt.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))) (hypot.f64 B (sqrt.f64 (.f64 A (.f64 C -4))))) (/.f64 (.f64 B (sqrt.f64 2)) (hypot.f64 B (sqrt.f64 (.f64 A (*.f64 C -4))))))
(.f64 (/.f64 (sqrt.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))) (pow.f64 (cbrt.f64 (fma.f64 B B (.f64 A (.f64 C -4)))) 2)) (/.f64 (.f64 B (neg.f64 (sqrt.f64 2))) (cbrt.f64 (fma.f64 B B (.f64 A (*.f64 C -4))))))
(.f64 (/.f64 (sqrt.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))) (pow.f64 (cbrt.f64 (fma.f64 B B (.f64 A (.f64 C -4)))) 2)) (/.f64 (.f64 B (sqrt.f64 2)) (cbrt.f64 (fma.f64 B B (.f64 A (*.f64 C -4))))))
(.f64 (/.f64 (sqrt.f64 (.f64 B (sqrt.f64 (.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))) 2)))) 1) (/.f64 (sqrt.f64 (.f64 B (sqrt.f64 (.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))) 2)))) (fma.f64 B B (.f64 A (*.f64 C -4)))))
(.f64 (/.f64 (sqrt.f64 (.f64 B (sqrt.f64 (.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))) 2)))) (pow.f64 (cbrt.f64 (fma.f64 B B (.f64 A (.f64 C -4)))) 2)) (/.f64 (sqrt.f64 (.f64 B (sqrt.f64 (.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))) 2)))) (cbrt.f64 (fma.f64 B B (.f64 A (*.f64 C -4))))))
(.f64 (/.f64 (cbrt.f64 (.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))) (.f64 2 (.f64 B B)))) 1) (/.f64 (cbrt.f64 (.f64 B (sqrt.f64 (.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))) 2)))) (fma.f64 B B (.f64 A (.f64 C -4)))))
(.f64 (/.f64 (cbrt.f64 (.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))) (.f64 2 (.f64 B B)))) (hypot.f64 B (sqrt.f64 (.f64 A (.f64 C -4))))) (/.f64 (cbrt.f64 (.f64 B (sqrt.f64 (.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))) 2)))) (hypot.f64 B (sqrt.f64 (.f64 A (.f64 C -4))))))
(.f64 (/.f64 (cbrt.f64 (.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))) (.f64 2 (.f64 B B)))) (pow.f64 (cbrt.f64 (fma.f64 B B (.f64 A (.f64 C -4)))) 2)) (cbrt.f64 (/.f64 (sqrt.f64 (.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))) 2)) (/.f64 (fma.f64 B B (.f64 A (*.f64 C -4))) B))))
(.f64 (/.f64 (neg.f64 (sqrt.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))) 1) (/.f64 (.f64 B (sqrt.f64 2)) (fma.f64 B B (.f64 A (*.f64 C -4)))))
(.f64 (/.f64 (neg.f64 (sqrt.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))) (hypot.f64 B (sqrt.f64 (.f64 A (.f64 C -4))))) (/.f64 (.f64 B (sqrt.f64 2)) (hypot.f64 B (sqrt.f64 (.f64 A (*.f64 C -4))))))
(.f64 (/.f64 (.f64 B (sqrt.f64 2)) (hypot.f64 B (sqrt.f64 (.f64 A (.f64 C -4))))) (/.f64 (sqrt.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))) (hypot.f64 B (sqrt.f64 (.f64 A (*.f64 C -4))))))
(.f64 (/.f64 (neg.f64 (sqrt.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))) (pow.f64 (cbrt.f64 (fma.f64 B B (.f64 A (.f64 C -4)))) 2)) (/.f64 (.f64 B (sqrt.f64 2)) (cbrt.f64 (fma.f64 B B (.f64 A (*.f64 C -4))))))
(.f64 (/.f64 -1 (hypot.f64 B (sqrt.f64 (.f64 A (.f64 C -4))))) (/.f64 (.f64 B (sqrt.f64 (.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))) 2))) (hypot.f64 B (sqrt.f64 (.f64 A (.f64 C -4))))))
(.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (fma.f64 B B (.f64 A (.f64 C -4)))) 2)) (/.f64 (.f64 B (sqrt.f64 (.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))) 2))) (cbrt.f64 (fma.f64 B B (.f64 A (.f64 C -4))))))
(.f64 (/.f64 (.f64 B (sqrt.f64 2)) 1) (/.f64 (sqrt.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))) (fma.f64 B B (.f64 A (*.f64 C -4)))))
(.f64 (/.f64 (.f64 B (sqrt.f64 2)) (pow.f64 (cbrt.f64 (fma.f64 B B (.f64 A (.f64 C -4)))) 2)) (/.f64 (sqrt.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))) (cbrt.f64 (fma.f64 B B (.f64 A (*.f64 C -4))))))
(.f64 (/.f64 (sqrt.f64 (.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))) 2)) 1) (/.f64 B (fma.f64 B B (.f64 A (*.f64 C -4)))))
(.f64 (/.f64 (sqrt.f64 (.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))) 2)) (hypot.f64 B (sqrt.f64 (.f64 A (.f64 C -4))))) (/.f64 B (hypot.f64 B (sqrt.f64 (.f64 A (*.f64 C -4))))))
(.f64 (/.f64 (sqrt.f64 (.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))) 2)) (pow.f64 (cbrt.f64 (fma.f64 B B (.f64 A (.f64 C -4)))) 2)) (/.f64 B (cbrt.f64 (fma.f64 B B (.f64 A (*.f64 C -4))))))
(pow.f64 (/.f64 (sqrt.f64 (.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))) 2)) (/.f64 (fma.f64 B B (.f64 A (.f64 C -4))) B)) 1)
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))) 2)) (/.f64 (fma.f64 B B (.f64 A (.f64 C -4))) B))) 2)
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))) 2)) (/.f64 (fma.f64 B B (.f64 A (.f64 C -4))) B))) 3)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))) 2)) (/.f64 (fma.f64 B B (.f64 A (.f64 C -4))) B)) 3) 1/3)
(pow.f64 (/.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 B (sqrt.f64 (.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))) 2)))) -1)
(neg.f64 (/.f64 (sqrt.f64 (.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))) 2)) (/.f64 (fma.f64 B B (.f64 A (.f64 C -4))) B)))
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))) 2)) (/.f64 (fma.f64 B B (.f64 A (.f64 C -4))) B)) 2))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 (.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))) 2)) (/.f64 (fma.f64 B B (.f64 A (.f64 C -4))) B))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))) 2)) (/.f64 (fma.f64 B B (.f64 A (.f64 C -4))) B)))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))) 2)) (/.f64 (fma.f64 B B (.f64 A (.f64 C -4))) B)) 3))
(cbrt.f64 (/.f64 (pow.f64 (.f64 B (sqrt.f64 (.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))) 2))) 3) (pow.f64 (fma.f64 B B (.f64 A (*.f64 C -4))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))) 2)) (/.f64 (fma.f64 B B (.f64 A (.f64 C -4))) B))))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))) 2)) (/.f64 (fma.f64 B B (.f64 A (.f64 C -4))) B))))
(exp.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 (.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))) 2)) (/.f64 (fma.f64 B B (.f64 A (*.f64 C -4))) B))) 1))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))) 2)) (/.f64 (fma.f64 B B (.f64 A (.f64 C -4))) B))))
(+.f64 (.f64 A (.f64 C -4)) (*.f64 B B))
(+.f64 (.f64 A (.f64 C -4)) (.f64 (.f64 B B) 1))
(+.f64 (.f64 B B) (.f64 A (*.f64 C -4)))
(+.f64 (.f64 (.f64 B B) 1) (.f64 A (.f64 C -4)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 B B (.f64 A (.f64 C -4))))) 1)
(.f64 (fma.f64 B B (.f64 A (*.f64 C -4))) 1)
(.f64 1 (fma.f64 B B (.f64 A (*.f64 C -4))))
(.f64 (hypot.f64 B (sqrt.f64 (.f64 A (.f64 C -4)))) (hypot.f64 B (sqrt.f64 (.f64 A (*.f64 C -4)))))
(.f64 (cbrt.f64 (fma.f64 B B (.f64 A (.f64 C -4)))) (pow.f64 (cbrt.f64 (fma.f64 B B (.f64 A (*.f64 C -4)))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 B B (.f64 A (.f64 C -4)))) 2) (cbrt.f64 (fma.f64 B B (.f64 A (*.f64 C -4)))))
(/.f64 (-.f64 (.f64 (.f64 B B) (.f64 B B)) (pow.f64 (.f64 A (.f64 C -4)) 2)) (-.f64 (.f64 B B) (.f64 A (.f64 C -4))))
(/.f64 (+.f64 (pow.f64 (.f64 A (.f64 C -4)) 3) (pow.f64 (.f64 B B) 3)) (+.f64 (.f64 (.f64 B B) (.f64 B B)) (-.f64 (pow.f64 (.f64 A (.f64 C -4)) 2) (.f64 (.f64 B B) (.f64 A (.f64 C -4))))))
(pow.f64 (fma.f64 B B (.f64 A (.f64 C -4))) 1)
(pow.f64 (hypot.f64 B (sqrt.f64 (.f64 A (.f64 C -4)))) 2)
(pow.f64 (cbrt.f64 (fma.f64 B B (.f64 A (.f64 C -4)))) 3)
(pow.f64 (pow.f64 (fma.f64 B B (.f64 A (.f64 C -4))) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 B B (.f64 A (.f64 C -4))) 2))
(log.f64 (exp.f64 (fma.f64 B B (.f64 A (.f64 C -4)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 B B (.f64 A (.f64 C -4))))))
(cbrt.f64 (pow.f64 (fma.f64 B B (.f64 A (.f64 C -4))) 3))
(expm1.f64 (log1p.f64 (fma.f64 B B (.f64 A (.f64 C -4)))))
(exp.f64 (log.f64 (fma.f64 B B (.f64 A (.f64 C -4)))))
(exp.f64 (.f64 (log.f64 (fma.f64 B B (.f64 A (*.f64 C -4)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 B B (.f64 A (.f64 C -4)))))

Outputs
(.f64 -1 (.f64 (/.f64 (sqrt.f64 2) B) (sqrt.f64 (*.f64 (-.f64 C (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))) F))))
(neg.f64 (.f64 (/.f64 (sqrt.f64 2) B) (sqrt.f64 (.f64 (-.f64 C (sqrt.f64 (+.f64 (.f64 C C) (.f64 B B)))) F))))
(.f64 (/.f64 (neg.f64 (sqrt.f64 2)) B) (sqrt.f64 (.f64 (-.f64 C (sqrt.f64 (+.f64 (.f64 C C) (.f64 B B)))) F)))
(+.f64 (.f64 -1 (.f64 A (+.f64 (.f64 4 (.f64 (sqrt.f64 (.f64 (-.f64 C (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))) F)) (/.f64 (.f64 (sqrt.f64 2) C) (pow.f64 B 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 F (-.f64 C (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))))) (/.f64 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 -1 (.f64 C (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))))))) B)))))) (.f64 -1 (.f64 (/.f64 (sqrt.f64 2) B) (sqrt.f64 (.f64 (-.f64 C (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))) F)))))
(.f64 -1 (+.f64 (.f64 A (fma.f64 4 (.f64 (sqrt.f64 (.f64 (-.f64 C (sqrt.f64 (+.f64 (.f64 C C) (.f64 B B)))) F)) (/.f64 (sqrt.f64 2) (/.f64 (pow.f64 B 3) C))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 F (-.f64 C (sqrt.f64 (+.f64 (.f64 C C) (.f64 B B)))))) (/.f64 (sqrt.f64 2) (/.f64 B (-.f64 1 (.f64 (neg.f64 C) (sqrt.f64 (/.f64 1 (+.f64 (.f64 C C) (.f64 B B)))))))))))) (.f64 (/.f64 (sqrt.f64 2) B) (sqrt.f64 (.f64 (-.f64 C (sqrt.f64 (+.f64 (.f64 C C) (*.f64 B B)))) F)))))
(fma.f64 -1 (.f64 A (fma.f64 4 (.f64 (sqrt.f64 (.f64 (-.f64 C (sqrt.f64 (+.f64 (.f64 C C) (.f64 B B)))) F)) (.f64 (/.f64 (sqrt.f64 2) (pow.f64 B 3)) C)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 F (-.f64 C (sqrt.f64 (+.f64 (.f64 C C) (.f64 B B)))))) (.f64 (/.f64 (sqrt.f64 2) B) (-.f64 1 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 C C) (.f64 B B)))) (neg.f64 C)))))))) (.f64 (/.f64 (neg.f64 (sqrt.f64 2)) B) (sqrt.f64 (.f64 (-.f64 C (sqrt.f64 (+.f64 (.f64 C C) (.f64 B B)))) F))))
(+.f64 (.f64 -1 (.f64 A (+.f64 (.f64 4 (.f64 (sqrt.f64 (.f64 (-.f64 C (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))) F)) (/.f64 (.f64 (sqrt.f64 2) C) (pow.f64 B 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 F (-.f64 C (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))))) (/.f64 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 -1 (.f64 C (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))))))) B)))))) (+.f64 (.f64 -1 (.f64 (/.f64 (sqrt.f64 2) B) (sqrt.f64 (.f64 (-.f64 C (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))) F)))) (.f64 -1 (.f64 (pow.f64 A 2) (+.f64 (.f64 1/2 (.f64 (/.f64 (.f64 (-.f64 (.f64 -1/2 (.f64 (.f64 F (-.f64 1 (pow.f64 (.f64 -1 (.f64 C (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))))) 2))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))))) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 F (-.f64 C (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))))) (-.f64 1 (.f64 -1 (.f64 C (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2))))))))) 2)) (sqrt.f64 2)) B) (sqrt.f64 (/.f64 1 (.f64 (-.f64 C (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))) F))))) (+.f64 (.f64 16 (.f64 (sqrt.f64 (.f64 (-.f64 C (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))) F)) (/.f64 (.f64 (sqrt.f64 2) (pow.f64 C 2)) (pow.f64 B 5)))) (.f64 2 (.f64 (sqrt.f64 (/.f64 F (-.f64 C (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))))) (/.f64 (.f64 (sqrt.f64 2) (.f64 C (-.f64 1 (.f64 -1 (*.f64 C (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2))))))))) (pow.f64 B 3))))))))))
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(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 F (-.f64 (+.f64 C A) (hypot.f64 B (-.f64 A C))))))) (/.f64 (fma.f64 B B (.f64 A (.f64 C -4))) B))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 F (+.f64 C (-.f64 A (hypot.f64 B (-.f64 A C)))))))) (/.f64 (fma.f64 B B (.f64 A (.f64 C -4))) B))
(.f64 (/.f64 (.f64 B (sqrt.f64 2)) 1) (/.f64 (sqrt.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))) (fma.f64 B B (.f64 A (*.f64 C -4)))))
(.f64 (sqrt.f64 (.f64 F (-.f64 (+.f64 C A) (hypot.f64 B (-.f64 A C))))) (/.f64 B (/.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (sqrt.f64 2))))
(.f64 (sqrt.f64 (.f64 F (+.f64 C (-.f64 A (hypot.f64 B (-.f64 A C)))))) (.f64 (/.f64 B (fma.f64 B B (.f64 A (*.f64 C -4)))) (sqrt.f64 2)))
(.f64 (/.f64 (.f64 B (sqrt.f64 2)) (pow.f64 (cbrt.f64 (fma.f64 B B (.f64 A (.f64 C -4)))) 2)) (/.f64 (sqrt.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))) (cbrt.f64 (fma.f64 B B (.f64 A (*.f64 C -4))))))
(.f64 (sqrt.f64 (.f64 F (-.f64 (+.f64 C A) (hypot.f64 B (-.f64 A C))))) (/.f64 B (/.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (sqrt.f64 2))))
(.f64 (sqrt.f64 (.f64 F (+.f64 C (-.f64 A (hypot.f64 B (-.f64 A C)))))) (.f64 (/.f64 B (fma.f64 B B (.f64 A (*.f64 C -4)))) (sqrt.f64 2)))
(.f64 (/.f64 (sqrt.f64 (.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))) 2)) 1) (/.f64 B (fma.f64 B B (.f64 A (*.f64 C -4)))))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (.f64 F (-.f64 (+.f64 C A) (hypot.f64 B (-.f64 A C)))))) (fma.f64 B B (.f64 A (*.f64 C -4)))) B)
(.f64 (sqrt.f64 (.f64 2 (.f64 F (+.f64 C (-.f64 A (hypot.f64 B (-.f64 A C))))))) (/.f64 B (fma.f64 B B (.f64 A (*.f64 C -4)))))
(.f64 (/.f64 (sqrt.f64 (.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))) 2)) (hypot.f64 B (sqrt.f64 (.f64 A (.f64 C -4))))) (/.f64 B (hypot.f64 B (sqrt.f64 (.f64 A (*.f64 C -4))))))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (.f64 F (-.f64 (+.f64 C A) (hypot.f64 B (-.f64 A C)))))) (hypot.f64 B (sqrt.f64 (.f64 A (.f64 C -4))))) (/.f64 B (hypot.f64 B (sqrt.f64 (.f64 A (*.f64 C -4))))))
(/.f64 (sqrt.f64 (.f64 2 (.f64 F (+.f64 C (-.f64 A (hypot.f64 B (-.f64 A C))))))) (/.f64 (hypot.f64 B (sqrt.f64 (.f64 A (.f64 C -4)))) (/.f64 B (hypot.f64 B (sqrt.f64 (.f64 A (.f64 C -4)))))))
(.f64 (/.f64 (sqrt.f64 (.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))) 2)) (pow.f64 (cbrt.f64 (fma.f64 B B (.f64 A (.f64 C -4)))) 2)) (/.f64 B (cbrt.f64 (fma.f64 B B (.f64 A (*.f64 C -4))))))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (.f64 F (-.f64 (+.f64 C A) (hypot.f64 B (-.f64 A C)))))) (fma.f64 B B (.f64 A (*.f64 C -4)))) B)
(.f64 (sqrt.f64 (.f64 2 (.f64 F (+.f64 C (-.f64 A (hypot.f64 B (-.f64 A C))))))) (/.f64 B (fma.f64 B B (.f64 A (*.f64 C -4)))))
(pow.f64 (/.f64 (sqrt.f64 (.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))) 2)) (/.f64 (fma.f64 B B (.f64 A (.f64 C -4))) B)) 1)
(.f64 (/.f64 (sqrt.f64 (.f64 2 (.f64 F (-.f64 (+.f64 C A) (hypot.f64 B (-.f64 A C)))))) (fma.f64 B B (.f64 A (*.f64 C -4)))) B)
(.f64 (sqrt.f64 (.f64 2 (.f64 F (+.f64 C (-.f64 A (hypot.f64 B (-.f64 A C))))))) (/.f64 B (fma.f64 B B (.f64 A (*.f64 C -4)))))
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))) 2)) (/.f64 (fma.f64 B B (.f64 A (.f64 C -4))) B))) 2)
(.f64 (/.f64 (sqrt.f64 (.f64 2 (.f64 F (-.f64 (+.f64 C A) (hypot.f64 B (-.f64 A C)))))) (fma.f64 B B (.f64 A (*.f64 C -4)))) B)
(.f64 (sqrt.f64 (.f64 2 (.f64 F (+.f64 C (-.f64 A (hypot.f64 B (-.f64 A C))))))) (/.f64 B (fma.f64 B B (.f64 A (*.f64 C -4)))))
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))) 2)) (/.f64 (fma.f64 B B (.f64 A (.f64 C -4))) B))) 3)
(.f64 (/.f64 (sqrt.f64 (.f64 2 (.f64 F (-.f64 (+.f64 C A) (hypot.f64 B (-.f64 A C)))))) (fma.f64 B B (.f64 A (*.f64 C -4)))) B)
(.f64 (sqrt.f64 (.f64 2 (.f64 F (+.f64 C (-.f64 A (hypot.f64 B (-.f64 A C))))))) (/.f64 B (fma.f64 B B (.f64 A (*.f64 C -4)))))
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))) 2)) (/.f64 (fma.f64 B B (.f64 A (.f64 C -4))) B)) 3) 1/3)
(.f64 (/.f64 (sqrt.f64 (.f64 2 (.f64 F (-.f64 (+.f64 C A) (hypot.f64 B (-.f64 A C)))))) (fma.f64 B B (.f64 A (*.f64 C -4)))) B)
(.f64 (sqrt.f64 (.f64 2 (.f64 F (+.f64 C (-.f64 A (hypot.f64 B (-.f64 A C))))))) (/.f64 B (fma.f64 B B (.f64 A (*.f64 C -4)))))
(pow.f64 (/.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 B (sqrt.f64 (.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))) 2)))) -1)
(.f64 (/.f64 (sqrt.f64 (.f64 2 (.f64 F (-.f64 (+.f64 C A) (hypot.f64 B (-.f64 A C)))))) (fma.f64 B B (.f64 A (*.f64 C -4)))) B)
(.f64 (sqrt.f64 (.f64 2 (.f64 F (+.f64 C (-.f64 A (hypot.f64 B (-.f64 A C))))))) (/.f64 B (fma.f64 B B (.f64 A (*.f64 C -4)))))
(neg.f64 (/.f64 (sqrt.f64 (.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))) 2)) (/.f64 (fma.f64 B B (.f64 A (.f64 C -4))) B)))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 F (-.f64 (+.f64 C A) (hypot.f64 B (-.f64 A C))))))) (/.f64 (fma.f64 B B (.f64 A (.f64 C -4))) B))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 F (+.f64 C (-.f64 A (hypot.f64 B (-.f64 A C)))))))) (/.f64 (fma.f64 B B (.f64 A (.f64 C -4))) B))
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))) 2)) (/.f64 (fma.f64 B B (.f64 A (.f64 C -4))) B)) 2))
(sqrt.f64 (pow.f64 (.f64 (/.f64 (sqrt.f64 (.f64 2 (.f64 F (-.f64 (+.f64 C A) (hypot.f64 B (-.f64 A C)))))) (fma.f64 B B (.f64 A (*.f64 C -4)))) B) 2))
(sqrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 2 (.f64 F (+.f64 C (-.f64 A (hypot.f64 B (-.f64 A C))))))) (/.f64 B (fma.f64 B B (.f64 A (*.f64 C -4))))) 2))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 (.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))) 2)) (/.f64 (fma.f64 B B (.f64 A (.f64 C -4))) B))))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (.f64 F (-.f64 (+.f64 C A) (hypot.f64 B (-.f64 A C)))))) (fma.f64 B B (.f64 A (*.f64 C -4)))) B)
(.f64 (sqrt.f64 (.f64 2 (.f64 F (+.f64 C (-.f64 A (hypot.f64 B (-.f64 A C))))))) (/.f64 B (fma.f64 B B (.f64 A (*.f64 C -4)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))) 2)) (/.f64 (fma.f64 B B (.f64 A (.f64 C -4))) B)))))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (.f64 F (-.f64 (+.f64 C A) (hypot.f64 B (-.f64 A C)))))) (fma.f64 B B (.f64 A (*.f64 C -4)))) B)
(.f64 (sqrt.f64 (.f64 2 (.f64 F (+.f64 C (-.f64 A (hypot.f64 B (-.f64 A C))))))) (/.f64 B (fma.f64 B B (.f64 A (*.f64 C -4)))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))) 2)) (/.f64 (fma.f64 B B (.f64 A (.f64 C -4))) B)) 3))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (.f64 F (-.f64 (+.f64 C A) (hypot.f64 B (-.f64 A C)))))) (fma.f64 B B (.f64 A (*.f64 C -4)))) B)
(.f64 (sqrt.f64 (.f64 2 (.f64 F (+.f64 C (-.f64 A (hypot.f64 B (-.f64 A C))))))) (/.f64 B (fma.f64 B B (.f64 A (*.f64 C -4)))))
(cbrt.f64 (/.f64 (pow.f64 (.f64 B (sqrt.f64 (.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))) 2))) 3) (pow.f64 (fma.f64 B B (.f64 A (*.f64 C -4))) 3)))
(cbrt.f64 (/.f64 (pow.f64 (.f64 B (sqrt.f64 (.f64 2 (.f64 F (-.f64 (+.f64 C A) (hypot.f64 B (-.f64 A C))))))) 3) (pow.f64 (fma.f64 B B (.f64 A (*.f64 C -4))) 3)))
(cbrt.f64 (/.f64 (pow.f64 (.f64 B (sqrt.f64 (.f64 2 (.f64 F (+.f64 C (-.f64 A (hypot.f64 B (-.f64 A C)))))))) 3) (pow.f64 (fma.f64 B B (.f64 A (*.f64 C -4))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))) 2)) (/.f64 (fma.f64 B B (.f64 A (.f64 C -4))) B))))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (.f64 F (-.f64 (+.f64 C A) (hypot.f64 B (-.f64 A C)))))) (fma.f64 B B (.f64 A (*.f64 C -4)))) B)
(.f64 (sqrt.f64 (.f64 2 (.f64 F (+.f64 C (-.f64 A (hypot.f64 B (-.f64 A C))))))) (/.f64 B (fma.f64 B B (.f64 A (*.f64 C -4)))))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))) 2)) (/.f64 (fma.f64 B B (.f64 A (.f64 C -4))) B))))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (.f64 F (-.f64 (+.f64 C A) (hypot.f64 B (-.f64 A C)))))) (fma.f64 B B (.f64 A (*.f64 C -4)))) B)
(.f64 (sqrt.f64 (.f64 2 (.f64 F (+.f64 C (-.f64 A (hypot.f64 B (-.f64 A C))))))) (/.f64 B (fma.f64 B B (.f64 A (*.f64 C -4)))))
(exp.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 (.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))) 2)) (/.f64 (fma.f64 B B (.f64 A (*.f64 C -4))) B))) 1))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (.f64 F (-.f64 (+.f64 C A) (hypot.f64 B (-.f64 A C)))))) (fma.f64 B B (.f64 A (*.f64 C -4)))) B)
(.f64 (sqrt.f64 (.f64 2 (.f64 F (+.f64 C (-.f64 A (hypot.f64 B (-.f64 A C))))))) (/.f64 B (fma.f64 B B (.f64 A (*.f64 C -4)))))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))) 2)) (/.f64 (fma.f64 B B (.f64 A (.f64 C -4))) B))))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (.f64 F (-.f64 (+.f64 C A) (hypot.f64 B (-.f64 A C)))))) (fma.f64 B B (.f64 A (*.f64 C -4)))) B)
(.f64 (sqrt.f64 (.f64 2 (.f64 F (+.f64 C (-.f64 A (hypot.f64 B (-.f64 A C))))))) (/.f64 B (fma.f64 B B (.f64 A (*.f64 C -4)))))
(+.f64 (.f64 A (.f64 C -4)) (*.f64 B B))
(fma.f64 B B (.f64 A (.f64 C -4)))
(+.f64 (.f64 A (.f64 C -4)) (.f64 (.f64 B B) 1))
(fma.f64 B B (.f64 A (.f64 C -4)))
(+.f64 (.f64 B B) (.f64 A (*.f64 C -4)))
(fma.f64 B B (.f64 A (.f64 C -4)))
(+.f64 (.f64 (.f64 B B) 1) (.f64 A (.f64 C -4)))
(fma.f64 B B (.f64 A (.f64 C -4)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 B B (.f64 A (.f64 C -4))))) 1)
(fma.f64 B B (.f64 A (.f64 C -4)))
(.f64 (fma.f64 B B (.f64 A (*.f64 C -4))) 1)
(fma.f64 B B (.f64 A (.f64 C -4)))
(.f64 1 (fma.f64 B B (.f64 A (*.f64 C -4))))
(fma.f64 B B (.f64 A (.f64 C -4)))
(.f64 (hypot.f64 B (sqrt.f64 (.f64 A (.f64 C -4)))) (hypot.f64 B (sqrt.f64 (.f64 A (*.f64 C -4)))))
(pow.f64 (hypot.f64 B (sqrt.f64 (.f64 A (.f64 C -4)))) 2)
(.f64 (cbrt.f64 (fma.f64 B B (.f64 A (.f64 C -4)))) (pow.f64 (cbrt.f64 (fma.f64 B B (.f64 A (*.f64 C -4)))) 2))
(fma.f64 B B (.f64 A (.f64 C -4)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 B B (.f64 A (.f64 C -4)))) 2) (cbrt.f64 (fma.f64 B B (.f64 A (*.f64 C -4)))))
(fma.f64 B B (.f64 A (.f64 C -4)))
(/.f64 (-.f64 (.f64 (.f64 B B) (.f64 B B)) (pow.f64 (.f64 A (.f64 C -4)) 2)) (-.f64 (.f64 B B) (.f64 A (.f64 C -4))))
(/.f64 (-.f64 (.f64 B (pow.f64 B 3)) (pow.f64 (.f64 A (.f64 C -4)) 2)) (-.f64 (.f64 B B) (.f64 A (.f64 C -4))))
(/.f64 (-.f64 (.f64 B (pow.f64 B 3)) (pow.f64 (.f64 A (.f64 C -4)) 2)) (fma.f64 B B (neg.f64 (.f64 A (*.f64 C -4)))))
(/.f64 (+.f64 (pow.f64 (.f64 A (.f64 C -4)) 3) (pow.f64 (.f64 B B) 3)) (+.f64 (.f64 (.f64 B B) (.f64 B B)) (-.f64 (pow.f64 (.f64 A (.f64 C -4)) 2) (.f64 (.f64 B B) (.f64 A (.f64 C -4))))))
(/.f64 (+.f64 (pow.f64 (.f64 A (.f64 C -4)) 3) (pow.f64 (.f64 B B) 3)) (+.f64 (.f64 B (pow.f64 B 3)) (-.f64 (pow.f64 (.f64 A (.f64 C -4)) 2) (.f64 B (.f64 B (.f64 A (.f64 C -4)))))))
(pow.f64 (fma.f64 B B (.f64 A (.f64 C -4))) 1)
(fma.f64 B B (.f64 A (.f64 C -4)))
(pow.f64 (hypot.f64 B (sqrt.f64 (.f64 A (.f64 C -4)))) 2)
(pow.f64 (cbrt.f64 (fma.f64 B B (.f64 A (.f64 C -4)))) 3)
(fma.f64 B B (.f64 A (.f64 C -4)))
(pow.f64 (pow.f64 (fma.f64 B B (.f64 A (.f64 C -4))) 3) 1/3)
(fma.f64 B B (.f64 A (.f64 C -4)))
(sqrt.f64 (pow.f64 (fma.f64 B B (.f64 A (.f64 C -4))) 2))
(log.f64 (exp.f64 (fma.f64 B B (.f64 A (.f64 C -4)))))
(fma.f64 B B (.f64 A (.f64 C -4)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 B B (.f64 A (.f64 C -4))))))
(fma.f64 B B (.f64 A (.f64 C -4)))
(cbrt.f64 (pow.f64 (fma.f64 B B (.f64 A (.f64 C -4))) 3))
(fma.f64 B B (.f64 A (.f64 C -4)))
(expm1.f64 (log1p.f64 (fma.f64 B B (.f64 A (.f64 C -4)))))
(fma.f64 B B (.f64 A (.f64 C -4)))
(exp.f64 (log.f64 (fma.f64 B B (.f64 A (.f64 C -4)))))
(fma.f64 B B (.f64 A (.f64 C -4)))
(exp.f64 (.f64 (log.f64 (fma.f64 B B (.f64 A (*.f64 C -4)))) 1))
(fma.f64 B B (.f64 A (.f64 C -4)))
(log1p.f64 (expm1.f64 (fma.f64 B B (.f64 A (.f64 C -4)))))
(fma.f64 B B (.f64 A (.f64 C -4)))

eval1.6s (3.1%)

Compiler: Compiled 87481 to 46235 computations (47.1% saved)

prune710.0ms (1.4%)

Pruning

111 alts after pruning (110 fresh and 1 done)

	Pruned	Kept	Total
New	1425	52	1477
Fresh	23	58	81
Picked	1	0	1
Done	3	1	4
Total	1452	111	1563

Error

14.4b

Counts

1563 → 111

Alt Table

Click to see full alt table

Status	Error	Program
	63.3b	(pow.f64 (pow.f64 (/.f64 F A) 3/2) 1/3)
	63.3b	(pow.f64 (cbrt.f64 (/.f64 F A)) 3/2)
	56.6b	(/.f64 (sqrt.f64 (.f64 F (+.f64 C (-.f64 A (hypot.f64 B (-.f64 A C)))))) (/.f64 (hypot.f64 B (sqrt.f64 (.f64 A (.f64 C -4)))) (.f64 (/.f64 B (hypot.f64 B (sqrt.f64 (.f64 A (.f64 C -4))))) (sqrt.f64 2))))
	56.7b	(/.f64 (sqrt.f64 (.f64 2 (.f64 F (+.f64 C (-.f64 A (hypot.f64 B (-.f64 A C))))))) (/.f64 (hypot.f64 B (sqrt.f64 (.f64 A (.f64 C -4)))) (/.f64 B (hypot.f64 B (sqrt.f64 (.f64 A (.f64 C -4)))))))
	58.6b	(/.f64 (sqrt.f64 (neg.f64 F)) (sqrt.f64 A))
	62.8b	(/.f64 (sqrt.f64 2) (/.f64 B (sqrt.f64 (*.f64 C F))))
	57.8b	(/.f64 (neg.f64 (.f64 (pow.f64 (pow.f64 (.f64 F (-.f64 A (hypot.f64 B A))) 3/2) 1/3) (.f64 B (sqrt.f64 2)))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
	63.5b	(/.f64 (neg.f64 (.f64 (+.f64 (sqrt.f64 (.f64 F (-.f64 A (neg.f64 A)))) (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 F (-.f64 A (neg.f64 A)))) (/.f64 (-.f64 (+.f64 (.f64 B B) (.f64 A A)) (pow.f64 (neg.f64 A) 2)) C)))) (.f64 (sqrt.f64 2) B))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
	62.9b	(/.f64 (neg.f64 (.f64 (.f64 B (sqrt.f64 2)) (neg.f64 (sqrt.f64 (.f64 C F))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
	61.8b	(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))) (sqrt.f64 (.f64 2 F)))) (fma.f64 B B (.f64 A (*.f64 C -4))))
	62.2b	(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (-.f64 C (neg.f64 C)))) (.f64 (sqrt.f64 2) B))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
	58.5b	(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (-.f64 C (neg.f64 C)))) (sqrt.f64 (.f64 2 (fma.f64 B B (.f64 A (.f64 C -4))))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
	57.0b	(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (-.f64 A (fma.f64 1/2 (/.f64 (.f64 A A) B) B)))) (.f64 B (sqrt.f64 2)))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
	61.9b	(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (-.f64 A (neg.f64 A)))) (.f64 B (sqrt.f64 2)))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
	56.7b	(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (-.f64 A B))) (.f64 B (sqrt.f64 2)))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
	61.7b	(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (-.f64 A A))) (.f64 B (sqrt.f64 2)))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
	62.8b	(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (+.f64 (.f64 2 C) (.f64 1/2 (/.f64 B (/.f64 C B)))))) (.f64 (sqrt.f64 2) B))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
	62.8b	(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))) (.f64 (sqrt.f64 2) B))) (.f64 A (*.f64 C -4)))
	62.8b	(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (+.f64 A (+.f64 A (/.f64 -1/2 (/.f64 C (+.f64 (.f64 B B) (-.f64 (.f64 A A) (pow.f64 (neg.f64 A) 2))))))))) (.f64 (sqrt.f64 2) B))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
	57.5b	(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (+.f64 A (+.f64 A (/.f64 -1/2 (/.f64 C (+.f64 (.f64 B B) (-.f64 (.f64 A A) (pow.f64 (neg.f64 A) 2))))))))) (sqrt.f64 (.f64 2 (fma.f64 B B (.f64 A (.f64 C -4))))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
	57.6b	(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (+.f64 A B))) (sqrt.f64 (.f64 2 (fma.f64 B B (.f64 A (.f64 C -4))))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
	57.1b	(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (+.f64 A A))) (sqrt.f64 (.f64 2 (fma.f64 B B (.f64 A (.f64 C -4))))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
	60.4b	(/.f64 (neg.f64 (sqrt.f64 (fma.f64 -16 (.f64 A (.f64 F (.f64 C C))) (.f64 (.f64 2 F) (.f64 (.f64 B B) (.f64 2 (+.f64 (/.f64 (.f64 A C) (-.f64 A C)) C))))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
	58.3b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (+.f64 A (+.f64 A (.f64 1/2 (/.f64 (.f64 B B) A)))) (.f64 2 F))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
	57.0b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (+.f64 A (+.f64 A (.f64 -1/2 (/.f64 (+.f64 (.f64 B B) (-.f64 (.f64 A A) (pow.f64 (neg.f64 A) 2))) C)))) (.f64 2 F))))) (fma.f64 B B (.f64 A (.f64 C -4))))
	57.1b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (+.f64 A A) (.f64 2 F))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
	63.5b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (neg.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 2 F)))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
	61.3b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (+.f64 (.f64 1/2 (/.f64 B (/.f64 C B))) (+.f64 (+.f64 A C) (-.f64 C A)))) (.f64 2 F)))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
	59.4b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 -2 F) (pow.f64 B 3)))) (fma.f64 B B (.f64 A (.f64 C -4))))
	59.0b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 -8 A) (.f64 (.f64 F C) (-.f64 C (neg.f64 C)))))) (fma.f64 B B (.f64 A (.f64 C -4))))
	58.9b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 -8 A) (.f64 (.f64 F C) (-.f64 A (neg.f64 A)))))) (fma.f64 B B (.f64 A (.f64 C -4))))
	59.5b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 -16 (.f64 A A)) (.f64 F C)))) (fma.f64 B B (.f64 A (.f64 C -4))))
	60.4b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 -16 A) (.f64 F (.f64 C C))))) (fma.f64 B B (.f64 A (.f64 C -4))))
	57.0b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) (.f64 F (fma.f64 -1/2 (/.f64 (.f64 B B) (-.f64 A C)) (.f64 2 C))))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
	57.3b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) (.f64 F (.f64 2 C)))))) (fma.f64 B B (.f64 A (.f64 -4 C))))
	59.0b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) (.f64 F (neg.f64 B)))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
	59.1b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) (.f64 F B))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
▶	61.8b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (+.f64 (-.f64 A C) (.f64 1/2 (/.f64 (+.f64 (.f64 B B) (-.f64 (.f64 C C) (pow.f64 (neg.f64 C) 2))) A))))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
	58.9b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (+.f64 (.f64 1/2 (/.f64 (.f64 C C) B)) B))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
	59.6b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B)) (.f64 -1 B)))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
	60.0b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (+.f64 C (fma.f64 -1/2 (/.f64 (.f64 B B) A) (neg.f64 A))))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
	59.8b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (neg.f64 C))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
	58.3b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (neg.f64 B))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
	59.8b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (neg.f64 A))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
	62.2b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C C)))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
	58.3b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C B)))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
	62.3b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 B (.f64 B F)) (+.f64 A (-.f64 C (+.f64 (-.f64 A C) (.f64 -1/2 (/.f64 (.f64 B B) C))))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
	62.5b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 B (.f64 B F)) (+.f64 A (-.f64 C A)))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
	60.9b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 -4 (.f64 (.f64 A C) F)) (+.f64 A (-.f64 C (+.f64 (-.f64 A C) (.f64 -1/2 (/.f64 (.f64 B B) C))))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
	62.1b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 -4 (.f64 (.f64 A C) F)) (+.f64 A (-.f64 C A)))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
	54.2b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 F (-.f64 (+.f64 C A) (hypot.f64 B (-.f64 A C))))))) (/.f64 (fma.f64 B B (.f64 A (.f64 C -4))) B))
	61.4b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 F (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (+.f64 A (+.f64 (+.f64 C (-.f64 C A)) (.f64 1/2 (/.f64 B (/.f64 C B)))))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
	62.8b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 F (.f64 C (.f64 B B)))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
	62.7b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 C (.f64 F (.f64 B B)))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
	62.0b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 A (.f64 -4 (.f64 C (.f64 C F))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
	57.6b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 -4 (.f64 (.f64 A C) (.f64 F (-.f64 C (neg.f64 C)))))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
	62.3b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 -4 (.f64 A (.f64 (.f64 C C) F)))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
	61.7b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (fabs.f64 (.f64 F (.f64 C (fma.f64 B B (.f64 -4 (.f64 A C))))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
	63.5b	(/.f64 1 (sqrt.f64 (/.f64 A F)))
	63.2b	(-.f64 (+.f64 1 (sqrt.f64 (/.f64 F A))) 1)
	56.4b	(.f64 (pow.f64 (pow.f64 (.f64 F (-.f64 A (fma.f64 1/2 (*.f64 A (/.f64 A B)) B))) 3/2) 1/3) (neg.f64 (/.f64 (sqrt.f64 2) B)))
	53.3b	(.f64 (pow.f64 (pow.f64 (.f64 F (-.f64 A (fma.f64 1/2 (*.f64 A (/.f64 A B)) B))) 1/4) 2) (neg.f64 (/.f64 (sqrt.f64 2) B)))
	56.9b	(.f64 (/.f64 (sqrt.f64 (.f64 F (-.f64 A (hypot.f64 B A)))) (/.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) (*.f64 B (sqrt.f64 2)))) 1)
	56.9b	(.f64 (/.f64 (sqrt.f64 (.f64 2 (.f64 F (-.f64 (+.f64 C A) (hypot.f64 B (-.f64 A C)))))) (fma.f64 B B (.f64 A (*.f64 C -4)))) B)
	57.8b	(.f64 (/.f64 (sqrt.f64 2) B) (sqrt.f64 (.f64 F (-.f64 A (sqrt.f64 (+.f64 (.f64 A A) (.f64 B B)))))))
▶	62.8b	(.f64 (/.f64 (sqrt.f64 2) B) (sqrt.f64 (.f64 C F)))
	53.3b	(.f64 (/.f64 (sqrt.f64 2) B) (neg.f64 (sqrt.f64 (.f64 F (-.f64 C (fma.f64 1/2 (*.f64 (/.f64 C B) C) B))))))
	62.7b	(.f64 (/.f64 (sqrt.f64 2) B) (neg.f64 (sqrt.f64 (.f64 C F))))
	53.9b	(.f64 (/.f64 B (/.f64 (hypot.f64 B (sqrt.f64 (.f64 A (.f64 C -4)))) (sqrt.f64 (.f64 2 (.f64 F (-.f64 (+.f64 C A) (hypot.f64 B (-.f64 A C)))))))) (/.f64 -1 (hypot.f64 B (sqrt.f64 (.f64 A (*.f64 C -4))))))
	56.7b	(.f64 (/.f64 1 (hypot.f64 B (sqrt.f64 (.f64 A (.f64 C -4))))) (/.f64 B (/.f64 (hypot.f64 B (sqrt.f64 (.f64 A (.f64 C -4)))) (sqrt.f64 (.f64 2 (*.f64 F (-.f64 (+.f64 C A) (hypot.f64 B (-.f64 A C)))))))))
	62.5b	(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 1/2)) (neg.f64 (sqrt.f64 (/.f64 F C))))
	54.4b	(.f64 (.f64 B (sqrt.f64 (.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))) 2))) (/.f64 1 (neg.f64 (fma.f64 B B (.f64 A (.f64 C -4))))))
	57.1b	(.f64 (.f64 B (sqrt.f64 2)) (/.f64 (sqrt.f64 (.f64 F (-.f64 A (hypot.f64 B A)))) (fma.f64 B B (.f64 A (*.f64 C -4)))))
	63.2b	(.f64 (.f64 1/4 (/.f64 (pow.f64 (sqrt.f64 2) 2) (/.f64 A B))) (sqrt.f64 (/.f64 F C)))
	57.8b	(.f64 (sqrt.f64 (.f64 F (fma.f64 -1/2 (/.f64 (.f64 B B) (-.f64 A C)) (.f64 2 C)))) (.f64 (neg.f64 (sqrt.f64 (.f64 2 (fma.f64 B B (.f64 A (.f64 C -4)))))) (/.f64 1 (fma.f64 B B (.f64 A (.f64 C -4))))))
	52.8b	(.f64 (sqrt.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))) (/.f64 (sqrt.f64 2) B))
▶	50.1b	(.f64 (sqrt.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))) (/.f64 (neg.f64 (sqrt.f64 2)) B))
	58.1b	(.f64 (sqrt.f64 (.f64 F (-.f64 C (sqrt.f64 (+.f64 (.f64 B B) (.f64 C C)))))) (/.f64 (sqrt.f64 2) B))
▶	53.3b	(.f64 (sqrt.f64 (.f64 F (-.f64 A (fma.f64 1/2 (*.f64 (/.f64 A B) A) B)))) (neg.f64 (pow.f64 (/.f64 B (sqrt.f64 2)) -1)))
	53.3b	(.f64 (sqrt.f64 (.f64 F (-.f64 A (fma.f64 1/2 (.f64 (/.f64 A B) A) B)))) (neg.f64 (.f64 (/.f64 (pow.f64 2 1/4) B) (pow.f64 2 1/4))))
	53.3b	(.f64 (sqrt.f64 (.f64 F (-.f64 A (fma.f64 1/2 (.f64 (/.f64 A B) A) B)))) (neg.f64 (.f64 (/.f64 1 B) (sqrt.f64 2))))
	57.1b	(.f64 (sqrt.f64 (.f64 F (-.f64 A (fma.f64 1/2 (*.f64 (/.f64 A B) A) B)))) (neg.f64 (sqrt.f64 (/.f64 (/.f64 2 B) B))))
	63.2b	(.f64 (sqrt.f64 (.f64 F (-.f64 A (fma.f64 1/2 (*.f64 (/.f64 A B) A) B)))) (neg.f64 (log.f64 (exp.f64 (/.f64 (sqrt.f64 2) B)))))
	55.2b	(.f64 (sqrt.f64 (.f64 F (-.f64 A (-.f64 (+.f64 (.f64 1/2 (.f64 A (/.f64 A B))) (exp.f64 (log1p.f64 B))) 1)))) (neg.f64 (/.f64 (sqrt.f64 2) B)))
	53.3b	(.f64 (sqrt.f64 (.f64 F (-.f64 A (+.f64 (.f64 1/2 (.f64 A (/.f64 A B))) B)))) (neg.f64 (/.f64 (sqrt.f64 2) B)))
	62.9b	(.f64 (sqrt.f64 (.f64 F (-.f64 A (.f64 (/.f64 A B) (.f64 1/2 A))))) (neg.f64 (/.f64 (sqrt.f64 2) B)))
	63.1b	(.f64 (sqrt.f64 (.f64 F (-.f64 A (sqrt.f64 (+.f64 (.f64 A A) (.f64 B B)))))) (.f64 1/4 (.f64 (/.f64 (sqrt.f64 2) (*.f64 A C)) B)))
	53.0b	(.f64 (sqrt.f64 (.f64 F (-.f64 A B))) (neg.f64 (/.f64 (sqrt.f64 2) B)))
	58.5b	(.f64 (sqrt.f64 (.f64 F (+.f64 C C))) (.f64 (neg.f64 (sqrt.f64 (.f64 2 (fma.f64 B B (.f64 A (.f64 C -4)))))) (/.f64 1 (fma.f64 B B (.f64 A (.f64 C -4))))))
	57.1b	(.f64 (sqrt.f64 (.f64 F (+.f64 A A))) (.f64 (neg.f64 (sqrt.f64 (.f64 2 (fma.f64 B B (.f64 A (.f64 C -4)))))) (/.f64 1 (fma.f64 B B (.f64 A (.f64 C -4))))))
	52.8b	(.f64 (sqrt.f64 (.f64 F (neg.f64 B))) (neg.f64 (/.f64 (sqrt.f64 2) B)))
	58.3b	(.f64 (sqrt.f64 (.f64 F B)) (.f64 (neg.f64 (sqrt.f64 (.f64 2 (fma.f64 B B (.f64 A (.f64 C -4)))))) (/.f64 1 (fma.f64 B B (.f64 A (.f64 C -4))))))
	56.9b	(.f64 (sqrt.f64 (.f64 2 (.f64 F (+.f64 C (-.f64 A (hypot.f64 B (-.f64 A C))))))) (/.f64 B (fma.f64 B B (.f64 A (*.f64 C -4)))))
	62.6b	(.f64 (sqrt.f64 (.f64 -1/2 (/.f64 (*.f64 A A) (/.f64 B F)))) (neg.f64 (/.f64 (sqrt.f64 2) B)))
	62.4b	(.f64 (sqrt.f64 (.f64 -1/2 (.f64 (.f64 A (/.f64 A B)) F))) (neg.f64 (/.f64 (sqrt.f64 2) B)))
	53.9b	(.f64 (exp.f64 (.f64 (log.f64 (.f64 F (-.f64 A (fma.f64 1/2 (.f64 A (/.f64 A B)) B)))) 1/2)) (neg.f64 (/.f64 (sqrt.f64 2) B)))
	56.0b	(.f64 (cbrt.f64 (pow.f64 (.f64 F (-.f64 A (fma.f64 1/2 (/.f64 A (/.f64 B A)) B))) 3/2)) (neg.f64 (/.f64 (sqrt.f64 2) B)))
	63.4b	(.f64 1/4 (.f64 (/.f64 (.f64 (sqrt.f64 2) B) (.f64 A C)) (sqrt.f64 (.f64 (-.f64 C (.f64 -1 C)) F))))
	63.3b	(.f64 1/4 (.f64 (/.f64 (.f64 (sqrt.f64 2) B) (.f64 A C)) (sqrt.f64 (.f64 (-.f64 A (.f64 -1 A)) F))))
	63.2b	(.f64 1/4 (.f64 (.f64 (/.f64 (sqrt.f64 2) A) (/.f64 B C)) (sqrt.f64 (.f64 F (-.f64 A (neg.f64 A))))))
	62.8b	(sqrt.f64 (/.f64 (*.f64 -2 F) B))
▶	63.3b	(sqrt.f64 (/.f64 F A))
	62.9b	(sqrt.f64 (*.f64 2 (/.f64 F B)))
	63.3b	(sqrt.f64 (.f64 2 (+.f64 (/.f64 F (/.f64 (.f64 B B) (+.f64 A C))) (/.f64 F B))))
	59.3b	(sqrt.f64 (.f64 -1/2 (/.f64 (-.f64 C (neg.f64 C)) (/.f64 (.f64 A C) F))))
	58.9b	(sqrt.f64 (.f64 -1/2 (/.f64 (-.f64 A (neg.f64 A)) (/.f64 (.f64 A C) F))))
	60.4b	(sqrt.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 A (.f64 -1 A)) F) (.f64 A C))))
	57.1b	(sqrt.f64 (neg.f64 (/.f64 F C)))
✓	56.5b	(sqrt.f64 (neg.f64 (/.f64 F A)))
	62.8b	(neg.f64 (.f64 (/.f64 (sqrt.f64 2) B) (sqrt.f64 (.f64 F (+.f64 (.f64 2 C) (.f64 1/2 (/.f64 B (/.f64 C B))))))))
	62.5b	(neg.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) (sqrt.f64 (/.f64 F C)))))

Compiler

Compiled 6161 to 4157 computations (32.5% saved)

localize22.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 (sqrt.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))) (/.f64 (neg.f64 (sqrt.f64 2)) B))
✓	0.5b	(/.f64 (neg.f64 (sqrt.f64 2)) B)
	1.5b	(-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))
	9.8b	(sqrt.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))

Compiler

Compiled 80 to 25 computations (68.8% saved)

series16.0ms (0%)

Counts

2 → 32

Calls

15 calls:

Time	Variable		Point	Expression
3.0ms	C	@	inf	(.f64 (sqrt.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))) (/.f64 (neg.f64 (sqrt.f64 2)) B))
2.0ms	A	@	inf	(.f64 (sqrt.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))) (/.f64 (neg.f64 (sqrt.f64 2)) B))
2.0ms	A	@	0	(.f64 (sqrt.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))) (/.f64 (neg.f64 (sqrt.f64 2)) B))
2.0ms	C	@	0	(.f64 (sqrt.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))) (/.f64 (neg.f64 (sqrt.f64 2)) B))
1.0ms	F	@	-inf	(.f64 (sqrt.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))) (/.f64 (neg.f64 (sqrt.f64 2)) B))

rewrite85.0ms (0.2%)

Algorithm

2×	egg-rewrite-iter-limit
2×	egg-rewrite
1×	batch-egg-rewrite

Rules

414×	`add-sqr-sqrt`
414×	`add-sqr-sqrt`
402×	`*-un-lft-identity`
402×	`*-un-lft-identity`
400×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	70
1	396	70
2	5562	70
0	8	15
1	168	15
2	2183	15
0	8	15
0	18	55
1	396	55
2	5562	55
0	18	55

Stop Event

1×	iter limit
1×	unsound
1×	iter limit
1×	unsound
1×	unsound

Counts

2 → 18

Calls

Call 1

Inputs
(/.f64 (neg.f64 (sqrt.f64 2)) B)
(.f64 (sqrt.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))) (/.f64 (neg.f64 (sqrt.f64 2)) B))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 2)) (/.f64 1 B))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (neg.f64 (sqrt.f64 2)) B))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (neg.f64 (sqrt.f64 2)) B)) (sqrt.f64 (/.f64 (neg.f64 (sqrt.f64 2)) B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (/.f64 (neg.f64 (sqrt.f64 2)) B)) (cbrt.f64 (/.f64 (neg.f64 (sqrt.f64 2)) B))) (cbrt.f64 (/.f64 (neg.f64 (sqrt.f64 2)) B)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (neg.f64 (sqrt.f64 2)) B) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sqrt.f64 2) B))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (neg.f64 (sqrt.f64 2)) B)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (/.f64 (neg.f64 (sqrt.f64 2)) B) (/.f64 (neg.f64 (sqrt.f64 2)) B)) (/.f64 (neg.f64 (sqrt.f64 2)) B)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (neg.f64 (sqrt.f64 2)) B)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (neg.f64 (sqrt.f64 2)) B)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (neg.f64 (sqrt.f64 2)) B)))))))

((#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))) (neg.f64 (sqrt.f64 2))) B)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (*.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))) (/.f64 (neg.f64 (sqrt.f64 2)) B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (sqrt.f64 (*.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))) (/.f64 (neg.f64 (sqrt.f64 2)) B))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))) (/.f64 (neg.f64 (sqrt.f64 2)) B)) (*.f64 (sqrt.f64 (*.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))) (/.f64 (neg.f64 (sqrt.f64 2)) B))) (*.f64 (sqrt.f64 (*.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))) (/.f64 (neg.f64 (sqrt.f64 2)) B))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))) (/.f64 (neg.f64 (sqrt.f64 2)) B))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))) (/.f64 (neg.f64 (sqrt.f64 2)) B))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))) (/.f64 (neg.f64 (sqrt.f64 2)) B))))))))

simplify94.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1830×	`associate-*r/`
1574×	`associate-*l/`
672×	`+-commutative`
628×	`associate-r`
594×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	325	7328
1	1018	6008
2	4538	6008

Stop Event

1×	node limit

Counts

50 → 100

Calls

Call 1

Inputs
(*.f64 -1 (/.f64 (sqrt.f64 2) B))
(*.f64 -1 (/.f64 (sqrt.f64 2) B))
(*.f64 -1 (/.f64 (sqrt.f64 2) B))
(*.f64 -1 (/.f64 (sqrt.f64 2) B))
(*.f64 -1 (/.f64 (sqrt.f64 2) B))
(*.f64 -1 (/.f64 (sqrt.f64 2) B))
(*.f64 -1 (/.f64 (sqrt.f64 2) B))
(*.f64 -1 (/.f64 (sqrt.f64 2) B))
(*.f64 -1 (/.f64 (sqrt.f64 2) B))
(*.f64 -1 (/.f64 (sqrt.f64 2) B))
(*.f64 -1 (/.f64 (sqrt.f64 2) B))
(*.f64 -1 (/.f64 (sqrt.f64 2) B))
(.f64 -1 (.f64 (/.f64 (sqrt.f64 2) B) (sqrt.f64 (*.f64 (-.f64 C (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))) F))))
(+.f64 (.f64 -1 (.f64 (/.f64 (sqrt.f64 2) B) (sqrt.f64 (.f64 (-.f64 C (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))) F)))) (.f64 -1/2 (.f64 (/.f64 (.f64 A (.f64 (sqrt.f64 2) (-.f64 1 (.f64 -1 (*.f64 C (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2))))))))) B) (sqrt.f64 (/.f64 F (-.f64 C (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))))))))
(+.f64 (.f64 -1 (.f64 (/.f64 (sqrt.f64 2) B) (sqrt.f64 (.f64 (-.f64 C (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))) F)))) (+.f64 (.f64 -1/2 (.f64 (/.f64 (.f64 (pow.f64 A 2) (.f64 (sqrt.f64 2) (-.f64 (.f64 -1/2 (.f64 (.f64 F (-.f64 1 (pow.f64 (.f64 -1 (.f64 C (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))))) 2))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))))) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 F (-.f64 C (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))))) (-.f64 1 (.f64 -1 (.f64 C (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2))))))))) 2)))) B) (sqrt.f64 (/.f64 1 (.f64 (-.f64 C (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))) F))))) (.f64 -1/2 (.f64 (/.f64 (.f64 A (.f64 (sqrt.f64 2) (-.f64 1 (.f64 -1 (*.f64 C (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2))))))))) B) (sqrt.f64 (/.f64 F (-.f64 C (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2))))))))))
(+.f64 (.f64 -1 (.f64 (/.f64 (sqrt.f64 2) B) (sqrt.f64 (.f64 (-.f64 C (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))) F)))) (+.f64 (.f64 -1/2 (.f64 (/.f64 (.f64 (pow.f64 A 2) (.f64 (sqrt.f64 2) (-.f64 (.f64 -1/2 (.f64 (.f64 F (-.f64 1 (pow.f64 (.f64 -1 (.f64 C (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))))) 2))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))))) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 F (-.f64 C (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))))) (-.f64 1 (.f64 -1 (.f64 C (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2))))))))) 2)))) B) (sqrt.f64 (/.f64 1 (.f64 (-.f64 C (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))) F))))) (+.f64 (.f64 -1/2 (.f64 (/.f64 (.f64 A (.f64 (sqrt.f64 2) (-.f64 1 (.f64 -1 (.f64 C (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2))))))))) B) (sqrt.f64 (/.f64 F (-.f64 C (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))))))) (.f64 -1/2 (.f64 (/.f64 (.f64 (pow.f64 A 3) (.f64 (sqrt.f64 2) (-.f64 (.f64 -1/2 (.f64 (.f64 C (.f64 F (-.f64 1 (pow.f64 (.f64 -1 (.f64 C (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))))) 2)))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)) 3))))) (.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 -1/2 (.f64 (.f64 F (-.f64 1 (pow.f64 (.f64 -1 (.f64 C (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))))) 2))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))))) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 F (-.f64 C (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))))) (-.f64 1 (.f64 -1 (.f64 C (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2))))))))) 2)) (-.f64 1 (.f64 -1 (.f64 C (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))))))) (-.f64 C (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2))))))))) B) (sqrt.f64 (/.f64 1 (*.f64 (-.f64 C (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))) F))))))))
(.f64 -1 (.f64 (/.f64 (sqrt.f64 2) B) (sqrt.f64 (.f64 (-.f64 C (.f64 -1 C)) F))))
(+.f64 (.f64 1/4 (.f64 (/.f64 (.f64 (sqrt.f64 2) (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)) (pow.f64 (.f64 -1 C) 2))) (.f64 A B)) (sqrt.f64 (/.f64 F (-.f64 C (.f64 -1 C)))))) (.f64 -1 (.f64 (/.f64 (sqrt.f64 2) B) (sqrt.f64 (.f64 (-.f64 C (.f64 -1 C)) F)))))
(+.f64 (.f64 1/4 (.f64 (/.f64 (.f64 (sqrt.f64 2) (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)) (pow.f64 (.f64 -1 C) 2))) (.f64 A B)) (sqrt.f64 (/.f64 F (-.f64 C (.f64 -1 C)))))) (+.f64 (.f64 -1/2 (.f64 (/.f64 (.f64 (sqrt.f64 2) (-.f64 (.f64 -1/2 (.f64 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)) (pow.f64 (.f64 -1 C) 2)) (.f64 C F))) (pow.f64 (.f64 -1/4 (.f64 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)) (pow.f64 (.f64 -1 C) 2)) (sqrt.f64 (/.f64 F (-.f64 C (.f64 -1 C)))))) 2))) (.f64 (pow.f64 A 2) B)) (sqrt.f64 (/.f64 1 (.f64 (-.f64 C (.f64 -1 C)) F))))) (.f64 -1 (.f64 (/.f64 (sqrt.f64 2) B) (sqrt.f64 (.f64 (-.f64 C (.f64 -1 C)) F))))))
(+.f64 (.f64 1/4 (.f64 (/.f64 (.f64 (sqrt.f64 2) (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)) (pow.f64 (.f64 -1 C) 2))) (.f64 A B)) (sqrt.f64 (/.f64 F (-.f64 C (.f64 -1 C)))))) (+.f64 (.f64 -1/2 (.f64 (/.f64 (.f64 (sqrt.f64 2) (-.f64 (.f64 1/2 (.f64 F (+.f64 (.f64 -1 (.f64 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)) (pow.f64 (.f64 -1 C) 2)) (pow.f64 C 2))) (pow.f64 (.f64 1/2 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)) (pow.f64 (.f64 -1 C) 2))) 2)))) (.f64 -1/4 (/.f64 (.f64 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)) (pow.f64 (.f64 -1 C) 2)) (-.f64 (.f64 -1/2 (.f64 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)) (pow.f64 (.f64 -1 C) 2)) (.f64 C F))) (pow.f64 (.f64 -1/4 (.f64 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)) (pow.f64 (.f64 -1 C) 2)) (sqrt.f64 (/.f64 F (-.f64 C (.f64 -1 C)))))) 2))) (-.f64 C (.f64 -1 C)))))) (.f64 (pow.f64 A 3) B)) (sqrt.f64 (/.f64 1 (.f64 (-.f64 C (.f64 -1 C)) F))))) (+.f64 (.f64 -1/2 (.f64 (/.f64 (.f64 (sqrt.f64 2) (-.f64 (.f64 -1/2 (.f64 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)) (pow.f64 (.f64 -1 C) 2)) (.f64 C F))) (pow.f64 (.f64 -1/4 (.f64 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)) (pow.f64 (.f64 -1 C) 2)) (sqrt.f64 (/.f64 F (-.f64 C (.f64 -1 C)))))) 2))) (.f64 (pow.f64 A 2) B)) (sqrt.f64 (/.f64 1 (.f64 (-.f64 C (.f64 -1 C)) F))))) (.f64 -1 (.f64 (/.f64 (sqrt.f64 2) B) (sqrt.f64 (.f64 (-.f64 C (*.f64 -1 C)) F)))))))
(.f64 -1 (.f64 (/.f64 (sqrt.f64 2) B) (sqrt.f64 (*.f64 (-.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))) F))))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 F (-.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))))) (/.f64 (.f64 (sqrt.f64 2) (.f64 C (-.f64 1 (.f64 -1 (.f64 A (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))))))) B))) (.f64 -1 (.f64 (/.f64 (sqrt.f64 2) B) (sqrt.f64 (*.f64 (-.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))) F)))))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 F (-.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))))) (/.f64 (.f64 (sqrt.f64 2) (.f64 C (-.f64 1 (.f64 -1 (.f64 A (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))))))) B))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (-.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))) F))) (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 C 2) (-.f64 (.f64 -1/2 (.f64 (.f64 (-.f64 1 (pow.f64 (.f64 -1 (.f64 A (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))))) 2)) F) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))))) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 F (-.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))))) (-.f64 1 (.f64 -1 (.f64 A (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))))))) 2)))) B))) (.f64 -1 (.f64 (/.f64 (sqrt.f64 2) B) (sqrt.f64 (*.f64 (-.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))) F))))))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 F (-.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))))) (/.f64 (.f64 (sqrt.f64 2) (.f64 C (-.f64 1 (.f64 -1 (.f64 A (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))))))) B))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (-.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))) F))) (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 C 2) (-.f64 (.f64 -1/2 (.f64 (.f64 (-.f64 1 (pow.f64 (.f64 -1 (.f64 A (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))))) 2)) F) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))))) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 F (-.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))))) (-.f64 1 (.f64 -1 (.f64 A (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))))))) 2)))) B))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (-.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))) F))) (/.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (.f64 -1/2 (.f64 (.f64 A (.f64 (-.f64 1 (pow.f64 (.f64 -1 (.f64 A (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))))) 2)) F)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)) 3))))) (.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 -1/2 (.f64 (.f64 (-.f64 1 (pow.f64 (.f64 -1 (.f64 A (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))))) 2)) F) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))))) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 F (-.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))))) (-.f64 1 (.f64 -1 (.f64 A (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))))))) 2)) (-.f64 1 (.f64 -1 (.f64 A (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))))))) (-.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))))) (pow.f64 C 3))) B))) (.f64 -1 (.f64 (/.f64 (sqrt.f64 2) B) (sqrt.f64 (*.f64 (-.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))) F)))))))
(.f64 -1 (.f64 (/.f64 (sqrt.f64 2) B) (sqrt.f64 (.f64 (-.f64 A (.f64 -1 A)) F))))
(+.f64 (.f64 1/4 (.f64 (/.f64 (.f64 (sqrt.f64 2) (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)) (pow.f64 (.f64 -1 A) 2))) (.f64 C B)) (sqrt.f64 (/.f64 F (-.f64 A (.f64 -1 A)))))) (.f64 -1 (.f64 (/.f64 (sqrt.f64 2) B) (sqrt.f64 (.f64 (-.f64 A (.f64 -1 A)) F)))))
(+.f64 (.f64 1/4 (.f64 (/.f64 (.f64 (sqrt.f64 2) (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)) (pow.f64 (.f64 -1 A) 2))) (.f64 C B)) (sqrt.f64 (/.f64 F (-.f64 A (.f64 -1 A)))))) (+.f64 (.f64 -1 (.f64 (/.f64 (sqrt.f64 2) B) (sqrt.f64 (.f64 (-.f64 A (.f64 -1 A)) F)))) (.f64 -1/2 (.f64 (/.f64 (.f64 (sqrt.f64 2) (-.f64 (.f64 -1/2 (.f64 A (.f64 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)) (pow.f64 (.f64 -1 A) 2)) F))) (pow.f64 (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 F (-.f64 A (.f64 -1 A)))) (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)) (pow.f64 (.f64 -1 A) 2)))) 2))) (.f64 (pow.f64 C 2) B)) (sqrt.f64 (/.f64 1 (.f64 (-.f64 A (.f64 -1 A)) F)))))))
(+.f64 (.f64 1/4 (.f64 (/.f64 (.f64 (sqrt.f64 2) (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)) (pow.f64 (.f64 -1 A) 2))) (.f64 C B)) (sqrt.f64 (/.f64 F (-.f64 A (.f64 -1 A)))))) (+.f64 (.f64 -1 (.f64 (/.f64 (sqrt.f64 2) B) (sqrt.f64 (.f64 (-.f64 A (.f64 -1 A)) F)))) (+.f64 (.f64 -1/2 (.f64 (/.f64 (.f64 (sqrt.f64 2) (-.f64 (.f64 -1/2 (.f64 A (.f64 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)) (pow.f64 (.f64 -1 A) 2)) F))) (pow.f64 (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 F (-.f64 A (.f64 -1 A)))) (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)) (pow.f64 (.f64 -1 A) 2)))) 2))) (.f64 (pow.f64 C 2) B)) (sqrt.f64 (/.f64 1 (.f64 (-.f64 A (.f64 -1 A)) F))))) (.f64 -1/2 (.f64 (/.f64 (.f64 (sqrt.f64 2) (-.f64 (.f64 1/2 (.f64 (+.f64 (pow.f64 (.f64 1/2 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)) (pow.f64 (.f64 -1 A) 2))) 2) (.f64 -1 (.f64 (pow.f64 A 2) (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)) (pow.f64 (.f64 -1 A) 2))))) F)) (.f64 -1/4 (/.f64 (.f64 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)) (pow.f64 (.f64 -1 A) 2)) (-.f64 (.f64 -1/2 (.f64 A (.f64 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)) (pow.f64 (.f64 -1 A) 2)) F))) (pow.f64 (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 F (-.f64 A (.f64 -1 A)))) (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)) (pow.f64 (.f64 -1 A) 2)))) 2))) (-.f64 A (.f64 -1 A)))))) (.f64 (pow.f64 C 3) B)) (sqrt.f64 (/.f64 1 (.f64 (-.f64 A (*.f64 -1 A)) F))))))))
(.f64 -1 (.f64 (/.f64 (pow.f64 (sqrt.f64 2) 2) B) (sqrt.f64 (*.f64 C F))))
(+.f64 (.f64 1/4 (.f64 (/.f64 B (-.f64 A C)) (sqrt.f64 (/.f64 F C)))) (.f64 -1 (.f64 (/.f64 (pow.f64 (sqrt.f64 2) 2) B) (sqrt.f64 (*.f64 C F)))))
(+.f64 (.f64 1/4 (.f64 (/.f64 B (-.f64 A C)) (sqrt.f64 (/.f64 F C)))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 C F))) (.f64 (-.f64 (.f64 1/8 (/.f64 F (pow.f64 (-.f64 A C) 3))) (pow.f64 (.f64 -1/4 (.f64 (/.f64 1 (.f64 (sqrt.f64 2) (-.f64 A C))) (sqrt.f64 (/.f64 F C)))) 2)) (pow.f64 B 3)))) (.f64 -1 (.f64 (/.f64 (pow.f64 (sqrt.f64 2) 2) B) (sqrt.f64 (*.f64 C F))))))
(+.f64 (.f64 1/4 (.f64 (/.f64 B (-.f64 A C)) (sqrt.f64 (/.f64 F C)))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 C F))) (.f64 (-.f64 (.f64 -1/16 (/.f64 F (pow.f64 (-.f64 A C) 5))) (.f64 -1/4 (/.f64 (-.f64 (.f64 1/8 (/.f64 F (pow.f64 (-.f64 A C) 3))) (pow.f64 (.f64 -1/4 (.f64 (/.f64 1 (.f64 (sqrt.f64 2) (-.f64 A C))) (sqrt.f64 (/.f64 F C)))) 2)) (.f64 (-.f64 A C) (.f64 (pow.f64 (sqrt.f64 2) 2) C))))) (pow.f64 B 5)))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 C F))) (.f64 (-.f64 (.f64 1/8 (/.f64 F (pow.f64 (-.f64 A C) 3))) (pow.f64 (.f64 -1/4 (.f64 (/.f64 1 (.f64 (sqrt.f64 2) (-.f64 A C))) (sqrt.f64 (/.f64 F C)))) 2)) (pow.f64 B 3)))) (.f64 -1 (.f64 (/.f64 (pow.f64 (sqrt.f64 2) 2) B) (sqrt.f64 (*.f64 C F)))))))
(*.f64 (neg.f64 (sqrt.f64 2)) (/.f64 1 B))
(*.f64 1 (/.f64 (neg.f64 (sqrt.f64 2)) B))
(*.f64 (sqrt.f64 (/.f64 (neg.f64 (sqrt.f64 2)) B)) (sqrt.f64 (/.f64 (neg.f64 (sqrt.f64 2)) B)))
(.f64 (.f64 (cbrt.f64 (/.f64 (neg.f64 (sqrt.f64 2)) B)) (cbrt.f64 (/.f64 (neg.f64 (sqrt.f64 2)) B))) (cbrt.f64 (/.f64 (neg.f64 (sqrt.f64 2)) B)))
(pow.f64 (/.f64 (neg.f64 (sqrt.f64 2)) B) 1)
(neg.f64 (/.f64 (sqrt.f64 2) B))
(log.f64 (exp.f64 (/.f64 (neg.f64 (sqrt.f64 2)) B)))
(cbrt.f64 (.f64 (.f64 (/.f64 (neg.f64 (sqrt.f64 2)) B) (/.f64 (neg.f64 (sqrt.f64 2)) B)) (/.f64 (neg.f64 (sqrt.f64 2)) B)))
(expm1.f64 (log1p.f64 (/.f64 (neg.f64 (sqrt.f64 2)) B)))
(exp.f64 (log.f64 (/.f64 (neg.f64 (sqrt.f64 2)) B)))
(log1p.f64 (expm1.f64 (/.f64 (neg.f64 (sqrt.f64 2)) B)))
(/.f64 (.f64 (sqrt.f64 (.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))) (neg.f64 (sqrt.f64 2))) B)
(pow.f64 (.f64 (sqrt.f64 (.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))) (/.f64 (neg.f64 (sqrt.f64 2)) B)) 1)
(log.f64 (exp.f64 (.f64 (sqrt.f64 (.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))) (/.f64 (neg.f64 (sqrt.f64 2)) B))))
(cbrt.f64 (.f64 (.f64 (.f64 (sqrt.f64 (.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))) (/.f64 (neg.f64 (sqrt.f64 2)) B)) (.f64 (sqrt.f64 (.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))) (/.f64 (neg.f64 (sqrt.f64 2)) B))) (.f64 (sqrt.f64 (.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))) (/.f64 (neg.f64 (sqrt.f64 2)) B))))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))) (/.f64 (neg.f64 (sqrt.f64 2)) B))))
(exp.f64 (log.f64 (.f64 (sqrt.f64 (.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))) (/.f64 (neg.f64 (sqrt.f64 2)) B))))
(log1p.f64 (expm1.f64 (.f64 (sqrt.f64 (.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))) (/.f64 (neg.f64 (sqrt.f64 2)) B))))

Outputs
(*.f64 -1 (/.f64 (sqrt.f64 2) B))
(neg.f64 (/.f64 (sqrt.f64 2) B))
(/.f64 (neg.f64 (sqrt.f64 2)) B)
(*.f64 -1 (/.f64 (sqrt.f64 2) B))
(neg.f64 (/.f64 (sqrt.f64 2) B))
(/.f64 (neg.f64 (sqrt.f64 2)) B)
(*.f64 -1 (/.f64 (sqrt.f64 2) B))
(neg.f64 (/.f64 (sqrt.f64 2) B))
(/.f64 (neg.f64 (sqrt.f64 2)) B)
(*.f64 -1 (/.f64 (sqrt.f64 2) B))
(neg.f64 (/.f64 (sqrt.f64 2) B))
(/.f64 (neg.f64 (sqrt.f64 2)) B)
(*.f64 -1 (/.f64 (sqrt.f64 2) B))
(neg.f64 (/.f64 (sqrt.f64 2) B))
(/.f64 (neg.f64 (sqrt.f64 2)) B)
(*.f64 -1 (/.f64 (sqrt.f64 2) B))
(neg.f64 (/.f64 (sqrt.f64 2) B))
(/.f64 (neg.f64 (sqrt.f64 2)) B)
(*.f64 -1 (/.f64 (sqrt.f64 2) B))
(neg.f64 (/.f64 (sqrt.f64 2) B))
(/.f64 (neg.f64 (sqrt.f64 2)) B)
(*.f64 -1 (/.f64 (sqrt.f64 2) B))
(neg.f64 (/.f64 (sqrt.f64 2) B))
(/.f64 (neg.f64 (sqrt.f64 2)) B)
(*.f64 -1 (/.f64 (sqrt.f64 2) B))
(neg.f64 (/.f64 (sqrt.f64 2) B))
(/.f64 (neg.f64 (sqrt.f64 2)) B)
(*.f64 -1 (/.f64 (sqrt.f64 2) B))
(neg.f64 (/.f64 (sqrt.f64 2) B))
(/.f64 (neg.f64 (sqrt.f64 2)) B)
(*.f64 -1 (/.f64 (sqrt.f64 2) B))
(neg.f64 (/.f64 (sqrt.f64 2) B))
(/.f64 (neg.f64 (sqrt.f64 2)) B)
(*.f64 -1 (/.f64 (sqrt.f64 2) B))
(neg.f64 (/.f64 (sqrt.f64 2) B))
(/.f64 (neg.f64 (sqrt.f64 2)) B)
(.f64 -1 (.f64 (/.f64 (sqrt.f64 2) B) (sqrt.f64 (*.f64 (-.f64 C (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))) F))))
(.f64 (neg.f64 (/.f64 (sqrt.f64 2) B)) (sqrt.f64 (.f64 (-.f64 C (sqrt.f64 (+.f64 (.f64 B B) (.f64 C C)))) F)))
(.f64 (sqrt.f64 (.f64 (-.f64 C (hypot.f64 B C)) F)) (/.f64 (neg.f64 (sqrt.f64 2)) B))
(+.f64 (.f64 -1 (.f64 (/.f64 (sqrt.f64 2) B) (sqrt.f64 (.f64 (-.f64 C (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))) F)))) (.f64 -1/2 (.f64 (/.f64 (.f64 A (.f64 (sqrt.f64 2) (-.f64 1 (.f64 -1 (*.f64 C (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2))))))))) B) (sqrt.f64 (/.f64 F (-.f64 C (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))))))))
(fma.f64 -1 (.f64 (/.f64 (sqrt.f64 2) B) (sqrt.f64 (.f64 (-.f64 C (sqrt.f64 (+.f64 (.f64 B B) (.f64 C C)))) F))) (.f64 -1/2 (.f64 (/.f64 A (/.f64 B (.f64 (sqrt.f64 2) (-.f64 1 (.f64 (neg.f64 C) (sqrt.f64 (/.f64 1 (+.f64 (.f64 B B) (.f64 C C))))))))) (sqrt.f64 (/.f64 F (-.f64 C (sqrt.f64 (+.f64 (.f64 B B) (.f64 C C)))))))))
(fma.f64 -1/2 (/.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 1 (.f64 C (sqrt.f64 (/.f64 1 (fma.f64 B B (.f64 C C)))))) A)) (/.f64 B (sqrt.f64 (/.f64 F (-.f64 C (hypot.f64 B C)))))) (.f64 (sqrt.f64 (.f64 (-.f64 C (hypot.f64 B C)) F)) (/.f64 (neg.f64 (sqrt.f64 2)) B)))
(-.f64 (/.f64 (.f64 -1/2 (.f64 (sqrt.f64 2) (.f64 (+.f64 1 (.f64 C (sqrt.f64 (/.f64 1 (fma.f64 B B (.f64 C C)))))) A))) (/.f64 B (sqrt.f64 (/.f64 F (-.f64 C (hypot.f64 B C)))))) (.f64 (/.f64 (sqrt.f64 2) B) (sqrt.f64 (*.f64 (-.f64 C (hypot.f64 B C)) F))))
(+.f64 (.f64 -1 (.f64 (/.f64 (sqrt.f64 2) B) (sqrt.f64 (.f64 (-.f64 C (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))) F)))) (+.f64 (.f64 -1/2 (.f64 (/.f64 (.f64 (pow.f64 A 2) (.f64 (sqrt.f64 2) (-.f64 (.f64 -1/2 (.f64 (.f64 F (-.f64 1 (pow.f64 (.f64 -1 (.f64 C (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))))) 2))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))))) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 F (-.f64 C (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))))) (-.f64 1 (.f64 -1 (.f64 C (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2))))))))) 2)))) B) (sqrt.f64 (/.f64 1 (.f64 (-.f64 C (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))) F))))) (.f64 -1/2 (.f64 (/.f64 (.f64 A (.f64 (sqrt.f64 2) (-.f64 1 (.f64 -1 (*.f64 C (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2))))))))) B) (sqrt.f64 (/.f64 F (-.f64 C (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2))))))))))
(fma.f64 -1 (.f64 (/.f64 (sqrt.f64 2) B) (sqrt.f64 (.f64 (-.f64 C (sqrt.f64 (+.f64 (.f64 B B) (.f64 C C)))) F))) (.f64 -1/2 (+.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 A A) (sqrt.f64 2)) (-.f64 (.f64 -1/2 (.f64 F (.f64 (-.f64 1 (pow.f64 (.f64 (neg.f64 C) (sqrt.f64 (/.f64 1 (+.f64 (.f64 B B) (.f64 C C))))) 2)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 B B) (.f64 C C))))))) (pow.f64 (.f64 1/2 (.f64 (-.f64 1 (.f64 (neg.f64 C) (sqrt.f64 (/.f64 1 (+.f64 (.f64 B B) (.f64 C C)))))) (sqrt.f64 (/.f64 F (-.f64 C (sqrt.f64 (+.f64 (.f64 B B) (.f64 C C)))))))) 2))) B) (sqrt.f64 (/.f64 (/.f64 1 (-.f64 C (sqrt.f64 (+.f64 (.f64 B B) (.f64 C C))))) F))) (.f64 (/.f64 A (/.f64 B (.f64 (sqrt.f64 2) (-.f64 1 (.f64 (neg.f64 C) (sqrt.f64 (/.f64 1 (+.f64 (.f64 B B) (.f64 C C))))))))) (sqrt.f64 (/.f64 F (-.f64 C (sqrt.f64 (+.f64 (.f64 B B) (*.f64 C C))))))))))
(fma.f64 -1/2 (fma.f64 (.f64 (/.f64 (.f64 A A) B) (.f64 (sqrt.f64 2) (-.f64 (.f64 F (.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 B B (.f64 C C)))) (-.f64 1 (pow.f64 (.f64 C (neg.f64 (sqrt.f64 (/.f64 1 (fma.f64 B B (.f64 C C)))))) 2))) -1/2)) (pow.f64 (.f64 (+.f64 1 (.f64 C (sqrt.f64 (/.f64 1 (fma.f64 B B (.f64 C C)))))) (.f64 (sqrt.f64 (/.f64 F (-.f64 C (hypot.f64 B C)))) 1/2)) 2)))) (sqrt.f64 (/.f64 1 (.f64 (-.f64 C (hypot.f64 B C)) F))) (/.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 1 (.f64 C (sqrt.f64 (/.f64 1 (fma.f64 B B (.f64 C C)))))) A)) (/.f64 B (sqrt.f64 (/.f64 F (-.f64 C (hypot.f64 B C))))))) (.f64 (sqrt.f64 (.f64 (-.f64 C (hypot.f64 B C)) F)) (/.f64 (neg.f64 (sqrt.f64 2)) B)))
(fma.f64 -1/2 (fma.f64 (.f64 (/.f64 (.f64 A A) B) (.f64 (sqrt.f64 2) (-.f64 (.f64 F (.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 B B (.f64 C C)))) (-.f64 1 (pow.f64 (.f64 C (neg.f64 (sqrt.f64 (/.f64 1 (fma.f64 B B (.f64 C C)))))) 2))) -1/2)) (pow.f64 (.f64 (+.f64 1 (.f64 C (sqrt.f64 (/.f64 1 (fma.f64 B B (.f64 C C)))))) (.f64 (sqrt.f64 (/.f64 F (-.f64 C (hypot.f64 B C)))) 1/2)) 2)))) (sqrt.f64 (/.f64 1 (.f64 (-.f64 C (hypot.f64 B C)) F))) (.f64 (/.f64 (.f64 A (sqrt.f64 (/.f64 F (-.f64 C (hypot.f64 B C))))) B) (.f64 (sqrt.f64 2) (+.f64 1 (.f64 C (sqrt.f64 (/.f64 1 (fma.f64 B B (.f64 C C))))))))) (.f64 (sqrt.f64 (*.f64 (-.f64 C (hypot.f64 B C)) F)) (/.f64 (neg.f64 (sqrt.f64 2)) B)))
(+.f64 (.f64 -1 (.f64 (/.f64 (sqrt.f64 2) B) (sqrt.f64 (.f64 (-.f64 C (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))) F)))) (+.f64 (.f64 -1/2 (.f64 (/.f64 (.f64 (pow.f64 A 2) (.f64 (sqrt.f64 2) (-.f64 (.f64 -1/2 (.f64 (.f64 F (-.f64 1 (pow.f64 (.f64 -1 (.f64 C (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))))) 2))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))))) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 F (-.f64 C (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))))) (-.f64 1 (.f64 -1 (.f64 C (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2))))))))) 2)))) B) (sqrt.f64 (/.f64 1 (.f64 (-.f64 C (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))) F))))) (+.f64 (.f64 -1/2 (.f64 (/.f64 (.f64 A (.f64 (sqrt.f64 2) (-.f64 1 (.f64 -1 (.f64 C (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2))))))))) B) (sqrt.f64 (/.f64 F (-.f64 C (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))))))) (.f64 -1/2 (.f64 (/.f64 (.f64 (pow.f64 A 3) (.f64 (sqrt.f64 2) (-.f64 (.f64 -1/2 (.f64 (.f64 C (.f64 F (-.f64 1 (pow.f64 (.f64 -1 (.f64 C (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))))) 2)))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)) 3))))) (.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 -1/2 (.f64 (.f64 F (-.f64 1 (pow.f64 (.f64 -1 (.f64 C (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))))) 2))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))))) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 F (-.f64 C (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))))) (-.f64 1 (.f64 -1 (.f64 C (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2))))))))) 2)) (-.f64 1 (.f64 -1 (.f64 C (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))))))) (-.f64 C (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2))))))))) B) (sqrt.f64 (/.f64 1 (*.f64 (-.f64 C (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))) F))))))))
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(.f64 (sqrt.f64 (.f64 C F)) (/.f64 -2 B))
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(fma.f64 1/4 (.f64 (/.f64 B (-.f64 A C)) (sqrt.f64 (/.f64 F C))) (.f64 (sqrt.f64 (*.f64 C F)) (/.f64 -2 B)))
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(fma.f64 1/4 (/.f64 (.f64 B (sqrt.f64 (/.f64 F C))) (-.f64 A C)) (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 C F))) (.f64 (-.f64 (/.f64 (.f64 1/8 F) (pow.f64 (-.f64 A C) 3)) (pow.f64 (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 F C)) (/.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 A C)))) 2)) (pow.f64 B 3))) (neg.f64 (.f64 (/.f64 (pow.f64 (sqrt.f64 2) 2) B) (sqrt.f64 (*.f64 C F))))))
(fma.f64 1/4 (.f64 (/.f64 B (-.f64 A C)) (sqrt.f64 (/.f64 F C))) (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 (/.f64 1 C) F)) (.f64 (-.f64 (/.f64 (.f64 F 1/8) (pow.f64 (-.f64 A C) 3)) (pow.f64 (.f64 -1/4 (/.f64 (sqrt.f64 (/.f64 F C)) (.f64 (sqrt.f64 2) (-.f64 A C)))) 2)) (pow.f64 B 3))) (.f64 (sqrt.f64 (.f64 C F)) (/.f64 -2 B))))
(fma.f64 1/4 (.f64 (/.f64 B (-.f64 A C)) (sqrt.f64 (/.f64 F C))) (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 (/.f64 1 C) F)) (.f64 (-.f64 (/.f64 (.f64 F 1/8) (pow.f64 (-.f64 A C) 3)) (pow.f64 (.f64 (sqrt.f64 (/.f64 F C)) (/.f64 (/.f64 -1/4 (sqrt.f64 2)) (-.f64 A C))) 2)) (pow.f64 B 3))) (.f64 (sqrt.f64 (*.f64 C F)) (/.f64 -2 B))))
(+.f64 (.f64 1/4 (.f64 (/.f64 B (-.f64 A C)) (sqrt.f64 (/.f64 F C)))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 C F))) (.f64 (-.f64 (.f64 -1/16 (/.f64 F (pow.f64 (-.f64 A C) 5))) (.f64 -1/4 (/.f64 (-.f64 (.f64 1/8 (/.f64 F (pow.f64 (-.f64 A C) 3))) (pow.f64 (.f64 -1/4 (.f64 (/.f64 1 (.f64 (sqrt.f64 2) (-.f64 A C))) (sqrt.f64 (/.f64 F C)))) 2)) (.f64 (-.f64 A C) (.f64 (pow.f64 (sqrt.f64 2) 2) C))))) (pow.f64 B 5)))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 C F))) (.f64 (-.f64 (.f64 1/8 (/.f64 F (pow.f64 (-.f64 A C) 3))) (pow.f64 (.f64 -1/4 (.f64 (/.f64 1 (.f64 (sqrt.f64 2) (-.f64 A C))) (sqrt.f64 (/.f64 F C)))) 2)) (pow.f64 B 3)))) (.f64 -1 (.f64 (/.f64 (pow.f64 (sqrt.f64 2) 2) B) (sqrt.f64 (*.f64 C F)))))))
(fma.f64 1/4 (/.f64 (.f64 B (sqrt.f64 (/.f64 F C))) (-.f64 A C)) (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 C F))) (.f64 (+.f64 (/.f64 (.f64 -1/16 F) (pow.f64 (-.f64 A C) 5)) (.f64 1/4 (/.f64 (-.f64 (/.f64 (.f64 1/8 F) (pow.f64 (-.f64 A C) 3)) (pow.f64 (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 F C)) (/.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 A C)))) 2)) (.f64 (-.f64 A C) (.f64 C (pow.f64 (sqrt.f64 2) 2)))))) (pow.f64 B 5))) (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 C F))) (.f64 (-.f64 (/.f64 (.f64 1/8 F) (pow.f64 (-.f64 A C) 3)) (pow.f64 (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 F C)) (/.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 A C)))) 2)) (pow.f64 B 3))) (neg.f64 (.f64 (/.f64 (pow.f64 (sqrt.f64 2) 2) B) (sqrt.f64 (*.f64 C F)))))))
(+.f64 (.f64 (.f64 -1/2 (sqrt.f64 (/.f64 (/.f64 1 C) F))) (+.f64 (.f64 (fma.f64 -1/16 (/.f64 F (pow.f64 (-.f64 A C) 5)) (/.f64 (.f64 1/4 (-.f64 (/.f64 (.f64 F 1/8) (pow.f64 (-.f64 A C) 3)) (pow.f64 (.f64 -1/4 (/.f64 (sqrt.f64 (/.f64 F C)) (.f64 (sqrt.f64 2) (-.f64 A C)))) 2))) (.f64 2 (.f64 C (-.f64 A C))))) (pow.f64 B 5)) (.f64 (-.f64 (/.f64 (.f64 F 1/8) (pow.f64 (-.f64 A C) 3)) (pow.f64 (.f64 -1/4 (/.f64 (sqrt.f64 (/.f64 F C)) (.f64 (sqrt.f64 2) (-.f64 A C)))) 2)) (pow.f64 B 3)))) (fma.f64 1/4 (.f64 (/.f64 B (-.f64 A C)) (sqrt.f64 (/.f64 F C))) (.f64 (sqrt.f64 (.f64 C F)) (/.f64 -2 B))))
(+.f64 (fma.f64 1/4 (.f64 (/.f64 B (-.f64 A C)) (sqrt.f64 (/.f64 F C))) (.f64 (sqrt.f64 (.f64 C F)) (/.f64 -2 B))) (.f64 (.f64 -1/2 (sqrt.f64 (/.f64 (/.f64 1 C) F))) (+.f64 (.f64 (-.f64 (/.f64 (.f64 F 1/8) (pow.f64 (-.f64 A C) 3)) (pow.f64 (.f64 (sqrt.f64 (/.f64 F C)) (/.f64 (/.f64 -1/4 (sqrt.f64 2)) (-.f64 A C))) 2)) (pow.f64 B 3)) (.f64 (fma.f64 -1/16 (/.f64 F (pow.f64 (-.f64 A C) 5)) (/.f64 (.f64 1/4 (-.f64 (/.f64 (.f64 F 1/8) (pow.f64 (-.f64 A C) 3)) (pow.f64 (.f64 (sqrt.f64 (/.f64 F C)) (/.f64 (/.f64 -1/4 (sqrt.f64 2)) (-.f64 A C))) 2))) (.f64 2 (.f64 C (-.f64 A C))))) (pow.f64 B 5)))))
(*.f64 (neg.f64 (sqrt.f64 2)) (/.f64 1 B))
(neg.f64 (/.f64 (sqrt.f64 2) B))
(/.f64 (neg.f64 (sqrt.f64 2)) B)
(*.f64 1 (/.f64 (neg.f64 (sqrt.f64 2)) B))
(neg.f64 (/.f64 (sqrt.f64 2) B))
(/.f64 (neg.f64 (sqrt.f64 2)) B)
(*.f64 (sqrt.f64 (/.f64 (neg.f64 (sqrt.f64 2)) B)) (sqrt.f64 (/.f64 (neg.f64 (sqrt.f64 2)) B)))
(neg.f64 (/.f64 (sqrt.f64 2) B))
(/.f64 (neg.f64 (sqrt.f64 2)) B)
(.f64 (.f64 (cbrt.f64 (/.f64 (neg.f64 (sqrt.f64 2)) B)) (cbrt.f64 (/.f64 (neg.f64 (sqrt.f64 2)) B))) (cbrt.f64 (/.f64 (neg.f64 (sqrt.f64 2)) B)))
(neg.f64 (/.f64 (sqrt.f64 2) B))
(/.f64 (neg.f64 (sqrt.f64 2)) B)
(pow.f64 (/.f64 (neg.f64 (sqrt.f64 2)) B) 1)
(neg.f64 (/.f64 (sqrt.f64 2) B))
(/.f64 (neg.f64 (sqrt.f64 2)) B)
(neg.f64 (/.f64 (sqrt.f64 2) B))
(/.f64 (neg.f64 (sqrt.f64 2)) B)
(log.f64 (exp.f64 (/.f64 (neg.f64 (sqrt.f64 2)) B)))
(neg.f64 (/.f64 (sqrt.f64 2) B))
(/.f64 (neg.f64 (sqrt.f64 2)) B)
(cbrt.f64 (.f64 (.f64 (/.f64 (neg.f64 (sqrt.f64 2)) B) (/.f64 (neg.f64 (sqrt.f64 2)) B)) (/.f64 (neg.f64 (sqrt.f64 2)) B)))
(cbrt.f64 (.f64 (neg.f64 (/.f64 (sqrt.f64 2) B)) (.f64 (neg.f64 (/.f64 (sqrt.f64 2) B)) (neg.f64 (/.f64 (sqrt.f64 2) B)))))
(cbrt.f64 (pow.f64 (/.f64 (neg.f64 (sqrt.f64 2)) B) 3))
(expm1.f64 (log1p.f64 (/.f64 (neg.f64 (sqrt.f64 2)) B)))
(neg.f64 (/.f64 (sqrt.f64 2) B))
(/.f64 (neg.f64 (sqrt.f64 2)) B)
(exp.f64 (log.f64 (/.f64 (neg.f64 (sqrt.f64 2)) B)))
(neg.f64 (/.f64 (sqrt.f64 2) B))
(/.f64 (neg.f64 (sqrt.f64 2)) B)
(log1p.f64 (expm1.f64 (/.f64 (neg.f64 (sqrt.f64 2)) B)))
(neg.f64 (/.f64 (sqrt.f64 2) B))
(/.f64 (neg.f64 (sqrt.f64 2)) B)
(/.f64 (.f64 (sqrt.f64 (.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))) (neg.f64 (sqrt.f64 2))) B)
(.f64 (neg.f64 (/.f64 (sqrt.f64 2) B)) (sqrt.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))))
(.f64 (/.f64 (neg.f64 (sqrt.f64 2)) B) (sqrt.f64 (.f64 F (-.f64 C (-.f64 (hypot.f64 B (-.f64 A C)) A)))))
(pow.f64 (.f64 (sqrt.f64 (.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))) (/.f64 (neg.f64 (sqrt.f64 2)) B)) 1)
(.f64 (neg.f64 (/.f64 (sqrt.f64 2) B)) (sqrt.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))))
(.f64 (/.f64 (neg.f64 (sqrt.f64 2)) B) (sqrt.f64 (.f64 F (-.f64 C (-.f64 (hypot.f64 B (-.f64 A C)) A)))))
(log.f64 (exp.f64 (.f64 (sqrt.f64 (.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))) (/.f64 (neg.f64 (sqrt.f64 2)) B))))
(.f64 (neg.f64 (/.f64 (sqrt.f64 2) B)) (sqrt.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))))
(.f64 (/.f64 (neg.f64 (sqrt.f64 2)) B) (sqrt.f64 (.f64 F (-.f64 C (-.f64 (hypot.f64 B (-.f64 A C)) A)))))
(cbrt.f64 (.f64 (.f64 (.f64 (sqrt.f64 (.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))) (/.f64 (neg.f64 (sqrt.f64 2)) B)) (.f64 (sqrt.f64 (.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))) (/.f64 (neg.f64 (sqrt.f64 2)) B))) (.f64 (sqrt.f64 (.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))) (/.f64 (neg.f64 (sqrt.f64 2)) B))))
(cbrt.f64 (.f64 (.f64 (neg.f64 (/.f64 (sqrt.f64 2) B)) (sqrt.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))) (.f64 (.f64 (sqrt.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))) (sqrt.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))) (.f64 (neg.f64 (/.f64 (sqrt.f64 2) B)) (neg.f64 (/.f64 (sqrt.f64 2) B))))))
(cbrt.f64 (pow.f64 (.f64 (/.f64 (neg.f64 (sqrt.f64 2)) B) (sqrt.f64 (.f64 F (-.f64 C (-.f64 (hypot.f64 B (-.f64 A C)) A))))) 3))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))) (/.f64 (neg.f64 (sqrt.f64 2)) B))))
(.f64 (neg.f64 (/.f64 (sqrt.f64 2) B)) (sqrt.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))))
(.f64 (/.f64 (neg.f64 (sqrt.f64 2)) B) (sqrt.f64 (.f64 F (-.f64 C (-.f64 (hypot.f64 B (-.f64 A C)) A)))))
(exp.f64 (log.f64 (.f64 (sqrt.f64 (.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))) (/.f64 (neg.f64 (sqrt.f64 2)) B))))
(.f64 (neg.f64 (/.f64 (sqrt.f64 2) B)) (sqrt.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))))
(.f64 (/.f64 (neg.f64 (sqrt.f64 2)) B) (sqrt.f64 (.f64 F (-.f64 C (-.f64 (hypot.f64 B (-.f64 A C)) A)))))
(log1p.f64 (expm1.f64 (.f64 (sqrt.f64 (.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))) (/.f64 (neg.f64 (sqrt.f64 2)) B))))
(.f64 (neg.f64 (/.f64 (sqrt.f64 2) B)) (sqrt.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))))
(.f64 (/.f64 (neg.f64 (sqrt.f64 2)) B) (sqrt.f64 (.f64 F (-.f64 C (-.f64 (hypot.f64 B (-.f64 A C)) A)))))

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	8.4b	(sqrt.f64 (/.f64 F A))

Compiler

Compiled 13 to 6 computations (53.8% saved)

series2.0ms (0%)

Counts

1 → 0

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	A	@	-inf	(sqrt.f64 (/.f64 F A))
0.0ms	F	@	0	(sqrt.f64 (/.f64 F A))
0.0ms	F	@	-inf	(sqrt.f64 (/.f64 F A))
0.0ms	F	@	inf	(sqrt.f64 (/.f64 F A))
0.0ms	A	@	0	(sqrt.f64 (/.f64 F A))

rewrite56.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1450×	`add-sqr-sqrt`
1434×	`*-un-lft-identity`
1334×	`add-cube-cbrt`
1318×	`add-cbrt-cube`
1306×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	142	11
2	1808	11

Stop Event

1×	node limit

Counts

1 → 30

Calls

Call 1

Inputs
(sqrt.f64 (/.f64 F A))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (/.f64 F A))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 F A)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (/.f64 F A)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 F A) 1/4) (pow.f64 (/.f64 F A) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 F) (sqrt.f64 (/.f64 1 A)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 F) (/.f64 1 (sqrt.f64 A)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 F) (pow.f64 (/.f64 1 A) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 F A)) (cbrt.f64 (sqrt.f64 (/.f64 F A))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (/.f64 F A))) (cbrt.f64 (/.f64 F A)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 F A)) 2)) (sqrt.f64 (cbrt.f64 (/.f64 F A))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 F A)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 F A)) 2) 1/2) (pow.f64 (cbrt.f64 (/.f64 F A)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (/.f64 A F)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 A) (sqrt.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 F) (sqrt.f64 A))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (neg.f64 F)) (sqrt.f64 (neg.f64 A)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 F)) (neg.f64 (sqrt.f64 A)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 F A) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 F A)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 F A) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 F A))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 F A) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (/.f64 F A)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (/.f64 F A))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 F A) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 F A))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (/.f64 F A))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 F A)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 F A))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 F A))))))))

simplify51.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

966×	`*-commutative`
910×	`associate-r`
864×	`associate-l`
728×	`fma-def`
636×	`associate-/l*`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	77	712
1	148	580
2	345	476
3	958	448
4	3738	448

Stop Event

1×	node limit

Counts

30 → 36

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (sqrt.f64 (/.f64 F A))) 1)
(*.f64 (sqrt.f64 (/.f64 F A)) 1)
(*.f64 1 (sqrt.f64 (/.f64 F A)))
(*.f64 (pow.f64 (/.f64 F A) 1/4) (pow.f64 (/.f64 F A) 1/4))
(*.f64 (sqrt.f64 F) (sqrt.f64 (/.f64 1 A)))
(*.f64 (sqrt.f64 F) (/.f64 1 (sqrt.f64 A)))
(*.f64 (sqrt.f64 F) (pow.f64 (/.f64 1 A) 1/2))
(*.f64 (cbrt.f64 (/.f64 F A)) (cbrt.f64 (sqrt.f64 (/.f64 F A))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 F A))) (cbrt.f64 (/.f64 F A)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 F A)) 2)) (sqrt.f64 (cbrt.f64 (/.f64 F A))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 F A)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 F A)) 2) 1/2) (pow.f64 (cbrt.f64 (/.f64 F A)) 1/2))
(/.f64 1 (sqrt.f64 (/.f64 A F)))
(/.f64 1 (/.f64 (sqrt.f64 A) (sqrt.f64 F)))
(/.f64 (sqrt.f64 F) (sqrt.f64 A))
(/.f64 (sqrt.f64 (neg.f64 F)) (sqrt.f64 (neg.f64 A)))
(/.f64 (neg.f64 (sqrt.f64 F)) (neg.f64 (sqrt.f64 A)))
(pow.f64 (/.f64 F A) 1/2)
(pow.f64 (sqrt.f64 (/.f64 F A)) 1)
(pow.f64 (pow.f64 (/.f64 F A) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 F A))) 3)
(pow.f64 (pow.f64 (/.f64 F A) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (/.f64 F A)))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 F A))))
(cbrt.f64 (pow.f64 (/.f64 F A) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 F A))))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 F A))))
(exp.f64 (*.f64 (log.f64 (/.f64 F A)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 F A))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 F A))))

Outputs
(-.f64 (+.f64 1 (sqrt.f64 (/.f64 F A))) 1)
(+.f64 (+.f64 1 (sqrt.f64 (/.f64 F A))) -1)
(+.f64 (sqrt.f64 (/.f64 F A)) 0)
(sqrt.f64 (/.f64 F A))
(*.f64 (sqrt.f64 (/.f64 F A)) 1)
(+.f64 (+.f64 1 (sqrt.f64 (/.f64 F A))) -1)
(+.f64 (sqrt.f64 (/.f64 F A)) 0)
(sqrt.f64 (/.f64 F A))
(*.f64 1 (sqrt.f64 (/.f64 F A)))
(+.f64 (+.f64 1 (sqrt.f64 (/.f64 F A))) -1)
(+.f64 (sqrt.f64 (/.f64 F A)) 0)
(sqrt.f64 (/.f64 F A))
(*.f64 (pow.f64 (/.f64 F A) 1/4) (pow.f64 (/.f64 F A) 1/4))
(+.f64 (+.f64 1 (sqrt.f64 (/.f64 F A))) -1)
(+.f64 (sqrt.f64 (/.f64 F A)) 0)
(sqrt.f64 (/.f64 F A))
(*.f64 (sqrt.f64 F) (sqrt.f64 (/.f64 1 A)))
(*.f64 (sqrt.f64 F) (/.f64 1 (sqrt.f64 A)))
(/.f64 (sqrt.f64 F) (sqrt.f64 A))
(*.f64 (sqrt.f64 F) (pow.f64 (/.f64 1 A) 1/2))
(*.f64 (sqrt.f64 F) (sqrt.f64 (/.f64 1 A)))
(*.f64 (cbrt.f64 (/.f64 F A)) (cbrt.f64 (sqrt.f64 (/.f64 F A))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 F A))) (cbrt.f64 (/.f64 F A)))
(*.f64 (cbrt.f64 (/.f64 F A)) (cbrt.f64 (sqrt.f64 (/.f64 F A))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 F A)) 2)) (sqrt.f64 (cbrt.f64 (/.f64 F A))))
(*.f64 (fabs.f64 (cbrt.f64 (/.f64 F A))) (sqrt.f64 (cbrt.f64 (/.f64 F A))))
(*.f64 (cbrt.f64 (/.f64 F A)) (sqrt.f64 (cbrt.f64 (/.f64 F A))))
(pow.f64 (cbrt.f64 (/.f64 F A)) 3/2)
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 F A)))
(+.f64 (+.f64 1 (sqrt.f64 (/.f64 F A))) -1)
(+.f64 (sqrt.f64 (/.f64 F A)) 0)
(sqrt.f64 (/.f64 F A))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 F A)) 2) 1/2) (pow.f64 (cbrt.f64 (/.f64 F A)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 F A)) 2)) (sqrt.f64 (cbrt.f64 (/.f64 F A))))
(*.f64 (fabs.f64 (cbrt.f64 (/.f64 F A))) (sqrt.f64 (cbrt.f64 (/.f64 F A))))
(*.f64 (cbrt.f64 (/.f64 F A)) (sqrt.f64 (cbrt.f64 (/.f64 F A))))
(pow.f64 (cbrt.f64 (/.f64 F A)) 3/2)
(/.f64 1 (sqrt.f64 (/.f64 A F)))
(/.f64 1 (/.f64 (sqrt.f64 A) (sqrt.f64 F)))
(*.f64 (sqrt.f64 F) (/.f64 1 (sqrt.f64 A)))
(/.f64 (sqrt.f64 F) (sqrt.f64 A))
(/.f64 (sqrt.f64 F) (sqrt.f64 A))
(*.f64 (sqrt.f64 F) (/.f64 1 (sqrt.f64 A)))
(/.f64 (sqrt.f64 (neg.f64 F)) (sqrt.f64 (neg.f64 A)))
(/.f64 (neg.f64 (sqrt.f64 F)) (neg.f64 (sqrt.f64 A)))
(*.f64 (sqrt.f64 F) (/.f64 1 (sqrt.f64 A)))
(/.f64 (sqrt.f64 F) (sqrt.f64 A))
(pow.f64 (/.f64 F A) 1/2)
(+.f64 (+.f64 1 (sqrt.f64 (/.f64 F A))) -1)
(+.f64 (sqrt.f64 (/.f64 F A)) 0)
(sqrt.f64 (/.f64 F A))
(pow.f64 (sqrt.f64 (/.f64 F A)) 1)
(+.f64 (+.f64 1 (sqrt.f64 (/.f64 F A))) -1)
(+.f64 (sqrt.f64 (/.f64 F A)) 0)
(sqrt.f64 (/.f64 F A))
(pow.f64 (pow.f64 (/.f64 F A) 1/4) 2)
(+.f64 (+.f64 1 (sqrt.f64 (/.f64 F A))) -1)
(+.f64 (sqrt.f64 (/.f64 F A)) 0)
(sqrt.f64 (/.f64 F A))
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 F A))) 3)
(+.f64 (+.f64 1 (sqrt.f64 (/.f64 F A))) -1)
(+.f64 (sqrt.f64 (/.f64 F A)) 0)
(sqrt.f64 (/.f64 F A))
(pow.f64 (pow.f64 (/.f64 F A) 3/2) 1/3)
(cbrt.f64 (pow.f64 (/.f64 F A) 3/2))
(fabs.f64 (sqrt.f64 (/.f64 F A)))
(+.f64 (+.f64 1 (sqrt.f64 (/.f64 F A))) -1)
(+.f64 (sqrt.f64 (/.f64 F A)) 0)
(sqrt.f64 (/.f64 F A))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 F A))))
(+.f64 (+.f64 1 (sqrt.f64 (/.f64 F A))) -1)
(+.f64 (sqrt.f64 (/.f64 F A)) 0)
(sqrt.f64 (/.f64 F A))
(cbrt.f64 (pow.f64 (/.f64 F A) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 F A))))
(+.f64 (+.f64 1 (sqrt.f64 (/.f64 F A))) -1)
(+.f64 (sqrt.f64 (/.f64 F A)) 0)
(sqrt.f64 (/.f64 F A))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 F A))))
(+.f64 (+.f64 1 (sqrt.f64 (/.f64 F A))) -1)
(+.f64 (sqrt.f64 (/.f64 F A)) 0)
(sqrt.f64 (/.f64 F A))
(exp.f64 (*.f64 (log.f64 (/.f64 F A)) 1/2))
(+.f64 (+.f64 1 (sqrt.f64 (/.f64 F A))) -1)
(+.f64 (sqrt.f64 (/.f64 F A)) 0)
(sqrt.f64 (/.f64 F A))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 F A))) 1))
(+.f64 (+.f64 1 (sqrt.f64 (/.f64 F A))) -1)
(+.f64 (sqrt.f64 (/.f64 F A)) 0)
(sqrt.f64 (/.f64 F A))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 F A))))
(+.f64 (+.f64 1 (sqrt.f64 (/.f64 F A))) -1)
(+.f64 (sqrt.f64 (/.f64 F A)) 0)
(sqrt.f64 (/.f64 F A))

localize12.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (/.f64 (sqrt.f64 2) B) (sqrt.f64 (.f64 C F)))
	0.5b	(/.f64 (sqrt.f64 2) B)
✓	11.4b	(sqrt.f64 (*.f64 C F))

Compiler

Compiled 30 to 16 computations (46.7% saved)

series8.0ms (0%)

Counts

2 → 0

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	F	@	-inf	(.f64 (/.f64 (sqrt.f64 2) B) (sqrt.f64 (.f64 C F)))
1.0ms	C	@	-inf	(.f64 (/.f64 (sqrt.f64 2) B) (sqrt.f64 (.f64 C F)))
1.0ms	F	@	0	(.f64 (/.f64 (sqrt.f64 2) B) (sqrt.f64 (.f64 C F)))
1.0ms	B	@	0	(.f64 (/.f64 (sqrt.f64 2) B) (sqrt.f64 (.f64 C F)))
1.0ms	C	@	0	(.f64 (/.f64 (sqrt.f64 2) B) (sqrt.f64 (.f64 C F)))

rewrite77.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1144×	`*-commutative`
890×	`associate-*r/`
840×	`unswap-sqr`
828×	`associate-/r*`
694×	`swap-sqr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	38
1	242	34
2	2963	34

Stop Event

1×	node limit

Counts

2 → 144

Calls

Call 1

Inputs
(sqrt.f64 (*.f64 C F))
(.f64 (/.f64 (sqrt.f64 2) B) (sqrt.f64 (.f64 C F)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 C F)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 C F)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 C F)) (pow.f64 1 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 C F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 F) (sqrt.f64 C))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 C F) 1/4) (pow.f64 (*.f64 C F) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 C) (sqrt.f64 F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 C F))) (cbrt.f64 (*.f64 C F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 C F)) (cbrt.f64 (sqrt.f64 (*.f64 C F))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 C F)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 C F))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 C F))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 C F)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 C F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 C F)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 C F)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 C F)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 C F)) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (*.f64 C F)))) (cbrt.f64 (sqrt.f64 (*.f64 C F)))) (*.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (*.f64 C F)))) (cbrt.f64 (sqrt.f64 (*.f64 C F)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 C F) 1/4)) (sqrt.f64 (cbrt.f64 (*.f64 C F)))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 C F) 1/4)) (sqrt.f64 (cbrt.f64 (*.f64 C F)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 C F))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (*.f64 C F))))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 C F))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (*.f64 C F))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 C F))) (cbrt.f64 (pow.f64 (*.f64 C F) 1/4))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 C F))) (cbrt.f64 (pow.f64 (*.f64 C F) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 C F) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 C F)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 C F) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 C F))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 C F) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 C F)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 C F))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 C F)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 C F) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 C F))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 C F))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 C F))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 C F) 2)) B))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 C F)) (/.f64 B (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 2) (/.f64 B (sqrt.f64 (*.f64 C F))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 C F) 2)) B) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 B (sqrt.f64 (*.f64 (*.f64 C F) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 F) (/.f64 (/.f64 B (sqrt.f64 2)) (sqrt.f64 C)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 2 1/4) (/.f64 (/.f64 B (sqrt.f64 (*.f64 C F))) (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 2 1/4) (/.f64 B (*.f64 (sqrt.f64 (*.f64 C F)) (pow.f64 2 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (*.f64 C F) 1/4) (/.f64 (/.f64 B (sqrt.f64 2)) (pow.f64 (*.f64 C F) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 C) (/.f64 (/.f64 B (sqrt.f64 2)) (sqrt.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (sqrt.f64 2)) (/.f64 (/.f64 B (sqrt.f64 (*.f64 C F))) (cbrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 2) (/.f64 (/.f64 B (sqrt.f64 (*.f64 C F))) (cbrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 2) (/.f64 B (*.f64 (sqrt.f64 (*.f64 C F)) (cbrt.f64 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (sqrt.f64 (*.f64 C F))) (/.f64 (/.f64 B (sqrt.f64 2)) (cbrt.f64 (*.f64 C F))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 C F)) (/.f64 (/.f64 B (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 (*.f64 C F)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 (*.f64 C F) 2)) B)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 (*.f64 C F) 2)) (/.f64 B 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 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(2) ((x exp.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 C F) 2)) B)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 C F) 2)) B)))))))

simplify80.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1126×	`associate-/l*`
592×	`distribute-rgt-in`
584×	`distribute-lft-in`
540×	`unswap-sqr`
454×	`associate-/l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	361	4908
1	840	4824
2	4403	4764

Stop Event

1×	node limit

Counts

144 → 205

Calls

Call 1

Inputs
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 C F)))) 1)
(.f64 (sqrt.f64 (.f64 C F)) 1)
(.f64 (sqrt.f64 (.f64 C F)) (pow.f64 1 1/2))
(.f64 1 (sqrt.f64 (.f64 C F)))
(*.f64 (sqrt.f64 F) (sqrt.f64 C))
(.f64 (pow.f64 (.f64 C F) 1/4) (pow.f64 (*.f64 C F) 1/4))
(*.f64 (sqrt.f64 C) (sqrt.f64 F))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 C F))) (cbrt.f64 (*.f64 C F)))
(.f64 (cbrt.f64 (.f64 C F)) (cbrt.f64 (sqrt.f64 (*.f64 C F))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 C F)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 C F))))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 C F))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 C F)) 2)))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 C F)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 C F)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 C F)) 1/2))
(.f64 (pow.f64 (cbrt.f64 (.f64 C F)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 C F)) 2) 1/2))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (.f64 C F)))) (cbrt.f64 (sqrt.f64 (.f64 C F)))) (.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (.f64 C F)))) (cbrt.f64 (sqrt.f64 (*.f64 C F)))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 C F) 1/4)) (sqrt.f64 (cbrt.f64 (.f64 C F)))) (.f64 (cbrt.f64 (pow.f64 (.f64 C F) 1/4)) (sqrt.f64 (cbrt.f64 (*.f64 C F)))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 C F))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (.f64 C F))))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 C F))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (*.f64 C F))))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 C F))) (cbrt.f64 (pow.f64 (.f64 C F) 1/4))) (.f64 (sqrt.f64 (cbrt.f64 (.f64 C F))) (cbrt.f64 (pow.f64 (*.f64 C F) 1/4))))
(pow.f64 (*.f64 C F) 1/2)
(pow.f64 (sqrt.f64 (*.f64 C F)) 1)
(pow.f64 (pow.f64 (*.f64 C F) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 C F))) 3)
(pow.f64 (pow.f64 (*.f64 C F) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (*.f64 C F)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 C F))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 C F)))))
(cbrt.f64 (pow.f64 (*.f64 C F) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 C F))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 C F))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 C F))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 (.f64 (.f64 C F) 2)) B))) 1)
(/.f64 (sqrt.f64 (*.f64 C F)) (/.f64 B (sqrt.f64 2)))
(/.f64 (sqrt.f64 2) (/.f64 B (sqrt.f64 (*.f64 C F))))
(/.f64 (/.f64 (sqrt.f64 (.f64 (.f64 C F) 2)) B) 1)
(/.f64 1 (/.f64 B (sqrt.f64 (.f64 (.f64 C F) 2))))
(/.f64 (sqrt.f64 F) (/.f64 (/.f64 B (sqrt.f64 2)) (sqrt.f64 C)))
(/.f64 (pow.f64 2 1/4) (/.f64 (/.f64 B (sqrt.f64 (*.f64 C F))) (pow.f64 2 1/4)))
(/.f64 (pow.f64 2 1/4) (/.f64 B (.f64 (sqrt.f64 (.f64 C F)) (pow.f64 2 1/4))))
(/.f64 (pow.f64 (.f64 C F) 1/4) (/.f64 (/.f64 B (sqrt.f64 2)) (pow.f64 (.f64 C F) 1/4)))
(/.f64 (sqrt.f64 C) (/.f64 (/.f64 B (sqrt.f64 2)) (sqrt.f64 F)))
(/.f64 (cbrt.f64 (sqrt.f64 2)) (/.f64 (/.f64 B (sqrt.f64 (*.f64 C F))) (cbrt.f64 2)))
(/.f64 (cbrt.f64 2) (/.f64 (/.f64 B (sqrt.f64 (*.f64 C F))) (cbrt.f64 (sqrt.f64 2))))
(/.f64 (cbrt.f64 2) (/.f64 B (.f64 (sqrt.f64 (.f64 C F)) (cbrt.f64 (sqrt.f64 2)))))
(/.f64 (cbrt.f64 (sqrt.f64 (.f64 C F))) (/.f64 (/.f64 B (sqrt.f64 2)) (cbrt.f64 (.f64 C F))))
(/.f64 (cbrt.f64 (.f64 C F)) (/.f64 (/.f64 B (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 (.f64 C F)))))
(/.f64 (sqrt.f64 (.f64 (.f64 C F) 2)) B)
(/.f64 (sqrt.f64 (.f64 (.f64 C F) 2)) (/.f64 B 1))
(/.f64 (neg.f64 (sqrt.f64 2)) (/.f64 (neg.f64 B) (sqrt.f64 (*.f64 C F))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 C F)) 2)) (/.f64 (/.f64 B (sqrt.f64 2)) (sqrt.f64 (cbrt.f64 (.f64 C F)))))
(/.f64 (sqrt.f64 (sqrt.f64 (.f64 (.f64 C F) 2))) (/.f64 B (sqrt.f64 (sqrt.f64 (.f64 (.f64 C F) 2)))))
(/.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 (.f64 C F) 2))) (cbrt.f64 (sqrt.f64 (.f64 (.f64 C F) 2)))) (/.f64 B (cbrt.f64 (sqrt.f64 (.f64 (*.f64 C F) 2)))))
(/.f64 (.f64 (sqrt.f64 2) (pow.f64 (.f64 C F) 1/4)) (/.f64 B (pow.f64 (*.f64 C F) 1/4)))
(/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 C)) (/.f64 B (sqrt.f64 F)))
(/.f64 (.f64 (sqrt.f64 2) (cbrt.f64 (.f64 C F))) (/.f64 B (cbrt.f64 (sqrt.f64 (*.f64 C F)))))
(/.f64 (.f64 (sqrt.f64 (.f64 C F)) (sqrt.f64 (/.f64 (sqrt.f64 2) B))) (sqrt.f64 (/.f64 B (sqrt.f64 2))))
(/.f64 (.f64 (sqrt.f64 (.f64 C F)) (pow.f64 2 1/4)) (/.f64 B (pow.f64 2 1/4)))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 C F) 2))) (neg.f64 B))
(/.f64 (/.f64 (sqrt.f64 (.f64 (.f64 C F) 2)) 1) B)
(/.f64 (/.f64 (sqrt.f64 (.f64 (.f64 C F) 2)) (sqrt.f64 B)) (sqrt.f64 B))
(/.f64 (/.f64 (sqrt.f64 (.f64 (.f64 C F) 2)) (cbrt.f64 (*.f64 B B))) (cbrt.f64 B))
(/.f64 (.f64 (pow.f64 2 1/4) (pow.f64 (.f64 C F) 1/4)) (/.f64 B (.f64 (pow.f64 2 1/4) (pow.f64 (.f64 C F) 1/4))))
(/.f64 (/.f64 (sqrt.f64 (*.f64 C F)) B) (/.f64 1 (sqrt.f64 2)))
(/.f64 (/.f64 (sqrt.f64 (*.f64 C F)) (sqrt.f64 B)) (/.f64 (sqrt.f64 B) (sqrt.f64 2)))
(/.f64 (pow.f64 1 1/2) (/.f64 B (sqrt.f64 (.f64 (.f64 C F) 2))))
(/.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 C F)) 2) 1/2) (/.f64 (/.f64 B (sqrt.f64 2)) (pow.f64 (cbrt.f64 (.f64 C F)) 1/2)))
(/.f64 (.f64 (sqrt.f64 (.f64 C F)) (cbrt.f64 2)) (/.f64 B (cbrt.f64 (sqrt.f64 2))))
(/.f64 (.f64 (sqrt.f64 (.f64 C F)) (/.f64 (sqrt.f64 2) 1)) B)
(/.f64 (.f64 (sqrt.f64 (.f64 C F)) (/.f64 (sqrt.f64 2) (sqrt.f64 B))) (sqrt.f64 B))
(/.f64 (.f64 (sqrt.f64 (.f64 C F)) (/.f64 (sqrt.f64 2) (cbrt.f64 (*.f64 B B)))) (cbrt.f64 B))
(/.f64 (.f64 (sqrt.f64 (.f64 C F)) -1) (/.f64 (neg.f64 B) (sqrt.f64 2)))
(/.f64 (.f64 1 (/.f64 (sqrt.f64 (.f64 (*.f64 C F) 2)) 1)) B)
(/.f64 (.f64 1 (/.f64 (sqrt.f64 (.f64 (*.f64 C F) 2)) (sqrt.f64 B))) (sqrt.f64 B))
(/.f64 (.f64 1 (/.f64 (sqrt.f64 (.f64 (.f64 C F) 2)) (cbrt.f64 (.f64 B B)))) (cbrt.f64 B))
(/.f64 (.f64 (sqrt.f64 (/.f64 (sqrt.f64 (.f64 (.f64 C F) 2)) B)) (sqrt.f64 (sqrt.f64 (.f64 (*.f64 C F) 2)))) (sqrt.f64 B))
(/.f64 (.f64 (cbrt.f64 (/.f64 (.f64 (.f64 C F) 2) (.f64 B B))) (cbrt.f64 (sqrt.f64 (.f64 (.f64 C F) 2)))) (cbrt.f64 B))
(/.f64 (.f64 (sqrt.f64 (.f64 (*.f64 C F) 2)) (/.f64 1 (sqrt.f64 B))) (sqrt.f64 B))
(/.f64 (.f64 (sqrt.f64 (.f64 (.f64 C F) 2)) (/.f64 1 (cbrt.f64 (.f64 B B)))) (cbrt.f64 B))
(/.f64 (.f64 (sqrt.f64 (.f64 (*.f64 C F) 2)) -1) (neg.f64 B))
(/.f64 (.f64 (.f64 (sqrt.f64 (*.f64 C F)) (sqrt.f64 (/.f64 (sqrt.f64 2) B))) 1) (sqrt.f64 (/.f64 B (sqrt.f64 2))))
(/.f64 (.f64 (.f64 (sqrt.f64 (*.f64 C F)) (sqrt.f64 (/.f64 (sqrt.f64 2) B))) (pow.f64 2 1/4)) (sqrt.f64 B))
(/.f64 (.f64 (.f64 (sqrt.f64 (*.f64 C F)) (sqrt.f64 (/.f64 (sqrt.f64 2) B))) (sqrt.f64 (neg.f64 (sqrt.f64 2)))) (sqrt.f64 (neg.f64 B)))
(/.f64 (.f64 (.f64 (sqrt.f64 (.f64 C F)) (cbrt.f64 (/.f64 2 (.f64 B B)))) 1) (cbrt.f64 (/.f64 B (sqrt.f64 2))))
(/.f64 (.f64 (.f64 (sqrt.f64 (.f64 C F)) (cbrt.f64 (/.f64 2 (.f64 B B)))) (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 B))
(/.f64 (.f64 (.f64 (sqrt.f64 (.f64 C F)) (cbrt.f64 (/.f64 2 (.f64 B B)))) (cbrt.f64 (neg.f64 (sqrt.f64 2)))) (cbrt.f64 (neg.f64 B)))
(/.f64 (.f64 (/.f64 (sqrt.f64 2) 1) (sqrt.f64 (.f64 C F))) B)
(/.f64 (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 B)) (sqrt.f64 (.f64 C F))) (sqrt.f64 B))
(/.f64 (.f64 (/.f64 (sqrt.f64 2) (cbrt.f64 (.f64 B B))) (sqrt.f64 (*.f64 C F))) (cbrt.f64 B))
(/.f64 (.f64 (cbrt.f64 2) (sqrt.f64 (.f64 C F))) (/.f64 B (cbrt.f64 (sqrt.f64 2))))
(/.f64 (.f64 -1 (sqrt.f64 (.f64 C F))) (/.f64 (neg.f64 B) (sqrt.f64 2)))
(/.f64 (.f64 (neg.f64 (sqrt.f64 (.f64 (*.f64 C F) 2))) 1) (neg.f64 B))
(/.f64 (.f64 (/.f64 (sqrt.f64 (.f64 (*.f64 C F) 2)) 1) 1) B)
(/.f64 (.f64 (/.f64 (sqrt.f64 (.f64 (*.f64 C F) 2)) (sqrt.f64 B)) 1) (sqrt.f64 B))
(/.f64 (.f64 (/.f64 (sqrt.f64 (.f64 (.f64 C F) 2)) (cbrt.f64 (.f64 B B))) 1) (cbrt.f64 B))
(/.f64 (.f64 1 (.f64 (sqrt.f64 (*.f64 C F)) (sqrt.f64 (/.f64 (sqrt.f64 2) B)))) (sqrt.f64 (/.f64 B (sqrt.f64 2))))
(/.f64 (.f64 (pow.f64 2 1/4) (.f64 (sqrt.f64 (*.f64 C F)) (sqrt.f64 (/.f64 (sqrt.f64 2) B)))) (sqrt.f64 B))
(/.f64 (.f64 (sqrt.f64 (neg.f64 (sqrt.f64 2))) (.f64 (sqrt.f64 (*.f64 C F)) (sqrt.f64 (/.f64 (sqrt.f64 2) B)))) (sqrt.f64 (neg.f64 B)))
(/.f64 (.f64 (sqrt.f64 (sqrt.f64 (.f64 (.f64 C F) 2))) (sqrt.f64 (/.f64 (sqrt.f64 (.f64 (*.f64 C F) 2)) B))) (sqrt.f64 B))
(/.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 (.f64 C F) 2))) (cbrt.f64 (/.f64 (.f64 (.f64 C F) 2) (.f64 B B)))) (cbrt.f64 B))
(/.f64 (.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 (.f64 C F)) (sqrt.f64 B))) (sqrt.f64 B))
(/.f64 (.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 (.f64 C F)) (cbrt.f64 B))) (cbrt.f64 (*.f64 B B)))
(/.f64 (/.f64 (sqrt.f64 (.f64 (.f64 C F) 2)) (cbrt.f64 B)) (cbrt.f64 (*.f64 B B)))
(/.f64 (/.f64 (sqrt.f64 (*.f64 C F)) 1) (/.f64 B (sqrt.f64 2)))
(/.f64 (/.f64 (sqrt.f64 (.f64 C F)) (.f64 (cbrt.f64 (/.f64 B (sqrt.f64 2))) (cbrt.f64 (/.f64 B (sqrt.f64 2))))) (cbrt.f64 (/.f64 B (sqrt.f64 2))))
(/.f64 (/.f64 (sqrt.f64 (*.f64 C F)) (/.f64 1 (pow.f64 2 1/4))) (/.f64 B (pow.f64 2 1/4)))
(/.f64 (/.f64 (sqrt.f64 (*.f64 C F)) (/.f64 1 (cbrt.f64 2))) (/.f64 B (cbrt.f64 (sqrt.f64 2))))
(/.f64 (/.f64 (sqrt.f64 (*.f64 C F)) (/.f64 (sqrt.f64 B) (pow.f64 2 1/4))) (/.f64 (sqrt.f64 B) (pow.f64 2 1/4)))
(/.f64 (/.f64 (sqrt.f64 (*.f64 C F)) (/.f64 (sqrt.f64 B) (cbrt.f64 2))) (/.f64 (sqrt.f64 B) (cbrt.f64 (sqrt.f64 2))))
(/.f64 (/.f64 (sqrt.f64 (.f64 C F)) (/.f64 (cbrt.f64 (.f64 B B)) 1)) (/.f64 (cbrt.f64 B) (sqrt.f64 2)))
(/.f64 (/.f64 (sqrt.f64 (.f64 C F)) (/.f64 (cbrt.f64 (.f64 B B)) (pow.f64 2 1/4))) (/.f64 (cbrt.f64 B) (pow.f64 2 1/4)))
(/.f64 (/.f64 (sqrt.f64 (.f64 C F)) (/.f64 (cbrt.f64 (.f64 B B)) (cbrt.f64 2))) (/.f64 (cbrt.f64 B) (cbrt.f64 (sqrt.f64 2))))
(/.f64 (/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 C F) 2))) 1) (neg.f64 B))
(/.f64 (/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 C F) 2))) (sqrt.f64 B)) (neg.f64 (sqrt.f64 B)))
(/.f64 (/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 C F) 2))) (cbrt.f64 (*.f64 B B))) (neg.f64 (cbrt.f64 B)))
(/.f64 (/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 C F) 2))) (sqrt.f64 (neg.f64 B))) (sqrt.f64 (neg.f64 B)))
(/.f64 (/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 C F) 2))) (*.f64 (cbrt.f64 (neg.f64 B)) (cbrt.f64 (neg.f64 B)))) (cbrt.f64 (neg.f64 B)))
(/.f64 (/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 C F) 2))) -1) B)
(/.f64 (/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 C F) 2))) (neg.f64 (sqrt.f64 B))) (sqrt.f64 B))
(/.f64 (/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 C F) 2))) (neg.f64 (cbrt.f64 (*.f64 B B)))) (cbrt.f64 B))
(/.f64 (/.f64 (/.f64 (sqrt.f64 (.f64 (.f64 C F) 2)) 1) 1) B)
(/.f64 (/.f64 (/.f64 (sqrt.f64 (.f64 (.f64 C F) 2)) 1) (cbrt.f64 B)) (cbrt.f64 (*.f64 B B)))
(/.f64 (/.f64 (/.f64 (sqrt.f64 (.f64 (.f64 C F) 2)) (sqrt.f64 B)) 1) (sqrt.f64 B))
(/.f64 (/.f64 (/.f64 (sqrt.f64 (.f64 (.f64 C F) 2)) (sqrt.f64 B)) (cbrt.f64 B)) (cbrt.f64 (sqrt.f64 B)))
(/.f64 (/.f64 (/.f64 (sqrt.f64 (.f64 (.f64 C F) 2)) (sqrt.f64 B)) (sqrt.f64 (cbrt.f64 (*.f64 B B)))) (sqrt.f64 (cbrt.f64 B)))
(/.f64 (/.f64 (/.f64 (sqrt.f64 (.f64 (.f64 C F) 2)) (sqrt.f64 B)) (sqrt.f64 (sqrt.f64 B))) (sqrt.f64 (sqrt.f64 B)))
(/.f64 (/.f64 (/.f64 (sqrt.f64 (.f64 (.f64 C F) 2)) (cbrt.f64 (*.f64 B B))) 1) (cbrt.f64 B))
(/.f64 (/.f64 (/.f64 (sqrt.f64 (.f64 (.f64 C F) 2)) (cbrt.f64 (*.f64 B B))) (sqrt.f64 (cbrt.f64 B))) (sqrt.f64 (cbrt.f64 B)))
(/.f64 (/.f64 (/.f64 (sqrt.f64 (.f64 (.f64 C F) 2)) (cbrt.f64 (.f64 B B))) (.f64 (cbrt.f64 (cbrt.f64 B)) (cbrt.f64 (cbrt.f64 B)))) (cbrt.f64 (cbrt.f64 B)))
(/.f64 (/.f64 (/.f64 (sqrt.f64 (.f64 (.f64 C F) 2)) (cbrt.f64 (.f64 B B))) (cbrt.f64 (cbrt.f64 (.f64 B B)))) (cbrt.f64 (cbrt.f64 B)))
(/.f64 (/.f64 (/.f64 (sqrt.f64 (.f64 (.f64 C F) 2)) (cbrt.f64 (*.f64 B B))) (cbrt.f64 (sqrt.f64 B))) (cbrt.f64 (sqrt.f64 B)))
(pow.f64 (/.f64 (sqrt.f64 (.f64 (.f64 C F) 2)) B) 1)
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (.f64 (.f64 C F) 2)) B)) 2)
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 (.f64 C F) 2)) B)) 3)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 (.f64 C F) 2)) B) 3) 1/3)
(neg.f64 (.f64 (/.f64 (sqrt.f64 2) (neg.f64 B)) (sqrt.f64 (.f64 C F))))
(neg.f64 (.f64 (sqrt.f64 (.f64 C F)) (/.f64 (sqrt.f64 2) (neg.f64 B))))
(neg.f64 (/.f64 (sqrt.f64 (.f64 (.f64 C F) 2)) (neg.f64 B)))
(sqrt.f64 (/.f64 (.f64 (.f64 C F) 2) (*.f64 B B)))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 (.f64 (.f64 C F) 2)) B)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (.f64 (.f64 C F) 2)) B))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 (.f64 C F) 2)) B) 3))
(cbrt.f64 (.f64 (pow.f64 (/.f64 (sqrt.f64 2) B) 3) (pow.f64 (.f64 C F) 3/2)))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (.f64 (.f64 C F) 2)) B)))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (.f64 (.f64 C F) 2)) B)))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (.f64 (.f64 C F) 2)) B)))

Outputs
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 C F)))) 1)
(sqrt.f64 (*.f64 C F))
(.f64 (sqrt.f64 (.f64 C F)) 1)
(sqrt.f64 (*.f64 C F))
(.f64 (sqrt.f64 (.f64 C F)) (pow.f64 1 1/2))
(sqrt.f64 (*.f64 C F))
(.f64 1 (sqrt.f64 (.f64 C F)))
(sqrt.f64 (*.f64 C F))
(*.f64 (sqrt.f64 F) (sqrt.f64 C))
(.f64 (pow.f64 (.f64 C F) 1/4) (pow.f64 (*.f64 C F) 1/4))
(sqrt.f64 (*.f64 C F))
(*.f64 (sqrt.f64 C) (sqrt.f64 F))
(*.f64 (sqrt.f64 F) (sqrt.f64 C))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 C F))) (cbrt.f64 (*.f64 C F)))
(.f64 (cbrt.f64 (.f64 C F)) (cbrt.f64 (sqrt.f64 (*.f64 C F))))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 C F))) (cbrt.f64 (*.f64 C F)))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 C F)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 C F))))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 C F))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 C F)) 2)))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 C F))) (fabs.f64 (cbrt.f64 (*.f64 C F))))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 C F))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 C F)) 2)))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 C F))) (fabs.f64 (cbrt.f64 (*.f64 C F))))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 C F)))
(sqrt.f64 (*.f64 C F))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 C F)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 C F)) 1/2))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 C F))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 C F)) 2)))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 C F))) (fabs.f64 (cbrt.f64 (*.f64 C F))))
(.f64 (pow.f64 (cbrt.f64 (.f64 C F)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 C F)) 2) 1/2))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 C F))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 C F)) 2)))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 C F))) (fabs.f64 (cbrt.f64 (*.f64 C F))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (.f64 C F)))) (cbrt.f64 (sqrt.f64 (.f64 C F)))) (.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (.f64 C F)))) (cbrt.f64 (sqrt.f64 (*.f64 C F)))))
(sqrt.f64 (*.f64 C F))
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 C F) 1/4)) (sqrt.f64 (cbrt.f64 (.f64 C F)))) (.f64 (cbrt.f64 (pow.f64 (.f64 C F) 1/4)) (sqrt.f64 (cbrt.f64 (*.f64 C F)))))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 C F))) (.f64 (cbrt.f64 (pow.f64 (.f64 C F) 1/4)) (.f64 (sqrt.f64 (cbrt.f64 (.f64 C F))) (cbrt.f64 (pow.f64 (*.f64 C F) 1/4)))))
(.f64 (cbrt.f64 (pow.f64 (.f64 C F) 1/4)) (.f64 (cbrt.f64 (.f64 C F)) (cbrt.f64 (pow.f64 (*.f64 C F) 1/4))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 C F))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (.f64 C F))))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 C F))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (*.f64 C F))))))
(sqrt.f64 (*.f64 C F))
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(/.f64 (.f64 (cbrt.f64 2) (sqrt.f64 (.f64 C F))) (/.f64 B (cbrt.f64 (sqrt.f64 2))))
(.f64 (/.f64 (cbrt.f64 2) (/.f64 B (sqrt.f64 (.f64 C F)))) (cbrt.f64 (sqrt.f64 2)))
(.f64 (cbrt.f64 (sqrt.f64 2)) (.f64 (/.f64 (cbrt.f64 2) B) (sqrt.f64 (*.f64 C F))))
(/.f64 (.f64 -1 (sqrt.f64 (.f64 C F))) (/.f64 (neg.f64 B) (sqrt.f64 2)))
(.f64 (/.f64 (sqrt.f64 2) B) (sqrt.f64 (.f64 C F)))
(.f64 (sqrt.f64 (.f64 C F)) (/.f64 (sqrt.f64 2) B))
(/.f64 (.f64 (neg.f64 (sqrt.f64 (.f64 (*.f64 C F) 2))) 1) (neg.f64 B))
(/.f64 (sqrt.f64 (.f64 C (.f64 F 2))) B)
(/.f64 (.f64 (/.f64 (sqrt.f64 (.f64 (*.f64 C F) 2)) 1) 1) B)
(/.f64 (sqrt.f64 (.f64 C (.f64 F 2))) B)
(/.f64 (.f64 (/.f64 (sqrt.f64 (.f64 (*.f64 C F) 2)) (sqrt.f64 B)) 1) (sqrt.f64 B))
(/.f64 (sqrt.f64 (.f64 C (.f64 F 2))) B)
(/.f64 (.f64 (/.f64 (sqrt.f64 (.f64 (.f64 C F) 2)) (cbrt.f64 (.f64 B B))) 1) (cbrt.f64 B))
(/.f64 (sqrt.f64 (.f64 C (.f64 F 2))) (.f64 (cbrt.f64 B) (cbrt.f64 (.f64 B B))))
(/.f64 (sqrt.f64 (.f64 C (.f64 F 2))) (.f64 (cbrt.f64 (.f64 B B)) (cbrt.f64 B)))
(/.f64 (.f64 1 (.f64 (sqrt.f64 (*.f64 C F)) (sqrt.f64 (/.f64 (sqrt.f64 2) B)))) (sqrt.f64 (/.f64 B (sqrt.f64 2))))
(/.f64 (sqrt.f64 (*.f64 C F)) (/.f64 (sqrt.f64 (/.f64 B (sqrt.f64 2))) (sqrt.f64 (/.f64 (sqrt.f64 2) B))))
(.f64 (/.f64 (sqrt.f64 (.f64 C F)) (sqrt.f64 (/.f64 B (sqrt.f64 2)))) (sqrt.f64 (/.f64 (sqrt.f64 2) B)))
(/.f64 (.f64 (pow.f64 2 1/4) (.f64 (sqrt.f64 (*.f64 C F)) (sqrt.f64 (/.f64 (sqrt.f64 2) B)))) (sqrt.f64 B))
(/.f64 (pow.f64 2 1/4) (/.f64 (sqrt.f64 B) (.f64 (sqrt.f64 (.f64 C F)) (sqrt.f64 (/.f64 (sqrt.f64 2) B)))))
(/.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) B)) (/.f64 (/.f64 (sqrt.f64 B) (pow.f64 2 1/4)) (sqrt.f64 (*.f64 C F))))
(/.f64 (.f64 (sqrt.f64 (neg.f64 (sqrt.f64 2))) (.f64 (sqrt.f64 (*.f64 C F)) (sqrt.f64 (/.f64 (sqrt.f64 2) B)))) (sqrt.f64 (neg.f64 B)))
(/.f64 (.f64 (sqrt.f64 (.f64 C F)) (sqrt.f64 (/.f64 (sqrt.f64 2) B))) (/.f64 (sqrt.f64 (neg.f64 B)) (sqrt.f64 (neg.f64 (sqrt.f64 2)))))
(.f64 (/.f64 (sqrt.f64 (neg.f64 (sqrt.f64 2))) (sqrt.f64 (neg.f64 B))) (.f64 (sqrt.f64 (*.f64 C F)) (sqrt.f64 (/.f64 (sqrt.f64 2) B))))
(/.f64 (.f64 (sqrt.f64 (sqrt.f64 (.f64 (.f64 C F) 2))) (sqrt.f64 (/.f64 (sqrt.f64 (.f64 (*.f64 C F) 2)) B))) (sqrt.f64 B))
(/.f64 (sqrt.f64 (/.f64 (sqrt.f64 (.f64 C (.f64 F 2))) B)) (/.f64 (sqrt.f64 B) (sqrt.f64 (sqrt.f64 (.f64 C (.f64 F 2))))))
(.f64 (/.f64 (sqrt.f64 (sqrt.f64 (.f64 C (.f64 F 2)))) (sqrt.f64 B)) (sqrt.f64 (/.f64 (sqrt.f64 (.f64 C (*.f64 F 2))) B)))
(/.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 (.f64 C F) 2))) (cbrt.f64 (/.f64 (.f64 (.f64 C F) 2) (.f64 B B)))) (cbrt.f64 B))
(/.f64 (cbrt.f64 (sqrt.f64 (.f64 C (.f64 F 2)))) (/.f64 (cbrt.f64 B) (cbrt.f64 (.f64 (/.f64 (.f64 C F) B) (/.f64 2 B)))))
(.f64 (/.f64 (cbrt.f64 (sqrt.f64 (.f64 C (.f64 F 2)))) (cbrt.f64 B)) (cbrt.f64 (.f64 (/.f64 2 B) (/.f64 C (/.f64 B F)))))
(/.f64 (.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 (.f64 C F)) (sqrt.f64 B))) (sqrt.f64 B))
(.f64 (/.f64 (sqrt.f64 2) B) (sqrt.f64 (.f64 C F)))
(.f64 (sqrt.f64 (.f64 C F)) (/.f64 (sqrt.f64 2) B))
(/.f64 (.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 (.f64 C F)) (cbrt.f64 B))) (cbrt.f64 (*.f64 B B)))
(/.f64 (/.f64 (sqrt.f64 2) (cbrt.f64 (.f64 B B))) (/.f64 (cbrt.f64 B) (sqrt.f64 (.f64 C F))))
(/.f64 (sqrt.f64 2) (/.f64 (cbrt.f64 (.f64 B B)) (/.f64 (sqrt.f64 (.f64 C F)) (cbrt.f64 B))))
(/.f64 (/.f64 (sqrt.f64 (.f64 (.f64 C F) 2)) (cbrt.f64 B)) (cbrt.f64 (*.f64 B B)))
(/.f64 (sqrt.f64 (.f64 C (.f64 F 2))) (.f64 (cbrt.f64 B) (cbrt.f64 (.f64 B B))))
(/.f64 (sqrt.f64 (.f64 C (.f64 F 2))) (.f64 (cbrt.f64 (.f64 B B)) (cbrt.f64 B)))
(/.f64 (/.f64 (sqrt.f64 (*.f64 C F)) 1) (/.f64 B (sqrt.f64 2)))
(.f64 (/.f64 (sqrt.f64 2) B) (sqrt.f64 (.f64 C F)))
(.f64 (sqrt.f64 (.f64 C F)) (/.f64 (sqrt.f64 2) B))
(/.f64 (/.f64 (sqrt.f64 (.f64 C F)) (.f64 (cbrt.f64 (/.f64 B (sqrt.f64 2))) (cbrt.f64 (/.f64 B (sqrt.f64 2))))) (cbrt.f64 (/.f64 B (sqrt.f64 2))))
(.f64 (/.f64 (sqrt.f64 2) B) (sqrt.f64 (.f64 C F)))
(.f64 (sqrt.f64 (.f64 C F)) (/.f64 (sqrt.f64 2) B))
(/.f64 (/.f64 (sqrt.f64 (*.f64 C F)) (/.f64 1 (pow.f64 2 1/4))) (/.f64 B (pow.f64 2 1/4)))
(.f64 (/.f64 (pow.f64 2 1/4) B) (.f64 (sqrt.f64 (*.f64 C F)) (pow.f64 2 1/4)))
(.f64 (.f64 (sqrt.f64 (*.f64 C F)) (pow.f64 2 1/4)) (/.f64 (pow.f64 2 1/4) B))
(/.f64 (.f64 (sqrt.f64 (.f64 C F)) (pow.f64 2 1/2)) B)
(/.f64 (/.f64 (sqrt.f64 (*.f64 C F)) (/.f64 1 (cbrt.f64 2))) (/.f64 B (cbrt.f64 (sqrt.f64 2))))
(.f64 (/.f64 (cbrt.f64 2) (/.f64 B (sqrt.f64 (.f64 C F)))) (cbrt.f64 (sqrt.f64 2)))
(.f64 (cbrt.f64 (sqrt.f64 2)) (.f64 (/.f64 (cbrt.f64 2) B) (sqrt.f64 (*.f64 C F))))
(/.f64 (/.f64 (sqrt.f64 (*.f64 C F)) (/.f64 (sqrt.f64 B) (pow.f64 2 1/4))) (/.f64 (sqrt.f64 B) (pow.f64 2 1/4)))
(/.f64 (sqrt.f64 (.f64 C F)) (.f64 (/.f64 (sqrt.f64 B) (pow.f64 2 1/4)) (/.f64 (sqrt.f64 B) (pow.f64 2 1/4))))
(/.f64 (/.f64 (sqrt.f64 (*.f64 C F)) (/.f64 (sqrt.f64 B) (cbrt.f64 2))) (/.f64 (sqrt.f64 B) (cbrt.f64 (sqrt.f64 2))))
(.f64 (/.f64 (/.f64 (sqrt.f64 (.f64 C F)) (/.f64 (sqrt.f64 B) (cbrt.f64 2))) (sqrt.f64 B)) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (sqrt.f64 (.f64 C F)) (.f64 (/.f64 (sqrt.f64 B) (cbrt.f64 2)) (/.f64 (sqrt.f64 B) (cbrt.f64 (sqrt.f64 2)))))
(/.f64 (/.f64 (sqrt.f64 (.f64 C F)) (/.f64 (cbrt.f64 (.f64 B B)) 1)) (/.f64 (cbrt.f64 B) (sqrt.f64 2)))
(/.f64 (/.f64 (sqrt.f64 2) (cbrt.f64 (.f64 B B))) (/.f64 (cbrt.f64 B) (sqrt.f64 (.f64 C F))))
(/.f64 (sqrt.f64 2) (/.f64 (cbrt.f64 (.f64 B B)) (/.f64 (sqrt.f64 (.f64 C F)) (cbrt.f64 B))))
(/.f64 (/.f64 (sqrt.f64 (.f64 C F)) (/.f64 (cbrt.f64 (.f64 B B)) (pow.f64 2 1/4))) (/.f64 (cbrt.f64 B) (pow.f64 2 1/4)))
(/.f64 (.f64 (/.f64 (sqrt.f64 (.f64 C F)) (cbrt.f64 (*.f64 B B))) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 B) (pow.f64 2 1/4)))
(/.f64 (sqrt.f64 (.f64 C F)) (/.f64 (.f64 (/.f64 (cbrt.f64 B) (pow.f64 2 1/4)) (cbrt.f64 (*.f64 B B))) (pow.f64 2 1/4)))
(/.f64 (/.f64 (sqrt.f64 (.f64 C F)) (/.f64 (cbrt.f64 (.f64 B B)) (cbrt.f64 2))) (/.f64 (cbrt.f64 B) (cbrt.f64 (sqrt.f64 2))))
(/.f64 (sqrt.f64 (.f64 C F)) (.f64 (/.f64 (cbrt.f64 B) (cbrt.f64 (sqrt.f64 2))) (/.f64 (cbrt.f64 (*.f64 B B)) (cbrt.f64 2))))
(.f64 (cbrt.f64 (sqrt.f64 2)) (/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 C F)) (cbrt.f64 2)) (cbrt.f64 (.f64 B B))) (cbrt.f64 B)))
(/.f64 (/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 C F) 2))) 1) (neg.f64 B))
(/.f64 (sqrt.f64 (.f64 C (.f64 F 2))) B)
(/.f64 (/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 C F) 2))) (sqrt.f64 B)) (neg.f64 (sqrt.f64 B)))
(/.f64 (sqrt.f64 (.f64 C (.f64 F 2))) B)
(/.f64 (/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 C F) 2))) (cbrt.f64 (*.f64 B B))) (neg.f64 (cbrt.f64 B)))
(/.f64 (sqrt.f64 (.f64 C (.f64 F 2))) (.f64 (cbrt.f64 B) (cbrt.f64 (.f64 B B))))
(/.f64 (sqrt.f64 (.f64 C (.f64 F 2))) (.f64 (cbrt.f64 (.f64 B B)) (cbrt.f64 B)))
(/.f64 (/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 C F) 2))) (sqrt.f64 (neg.f64 B))) (sqrt.f64 (neg.f64 B)))
(/.f64 (sqrt.f64 (.f64 C (.f64 F 2))) B)
(/.f64 (/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 C F) 2))) (*.f64 (cbrt.f64 (neg.f64 B)) (cbrt.f64 (neg.f64 B)))) (cbrt.f64 (neg.f64 B)))
(/.f64 (sqrt.f64 (.f64 C (.f64 F 2))) B)
(/.f64 (/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 C F) 2))) -1) B)
(/.f64 (sqrt.f64 (.f64 C (.f64 F 2))) B)
(/.f64 (/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 C F) 2))) (neg.f64 (sqrt.f64 B))) (sqrt.f64 B))
(/.f64 (sqrt.f64 (.f64 C (.f64 F 2))) B)
(/.f64 (/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 C F) 2))) (neg.f64 (cbrt.f64 (*.f64 B B)))) (cbrt.f64 B))
(/.f64 (sqrt.f64 (.f64 C (.f64 F 2))) (.f64 (cbrt.f64 B) (cbrt.f64 (.f64 B B))))
(/.f64 (sqrt.f64 (.f64 C (.f64 F 2))) (.f64 (cbrt.f64 (.f64 B B)) (cbrt.f64 B)))
(/.f64 (/.f64 (/.f64 (sqrt.f64 (.f64 (.f64 C F) 2)) 1) 1) B)
(/.f64 (sqrt.f64 (.f64 C (.f64 F 2))) B)
(/.f64 (/.f64 (/.f64 (sqrt.f64 (.f64 (.f64 C F) 2)) 1) (cbrt.f64 B)) (cbrt.f64 (*.f64 B B)))
(/.f64 (sqrt.f64 (.f64 C (.f64 F 2))) (.f64 (cbrt.f64 B) (cbrt.f64 (.f64 B B))))
(/.f64 (sqrt.f64 (.f64 C (.f64 F 2))) (.f64 (cbrt.f64 (.f64 B B)) (cbrt.f64 B)))
(/.f64 (/.f64 (/.f64 (sqrt.f64 (.f64 (.f64 C F) 2)) (sqrt.f64 B)) 1) (sqrt.f64 B))
(/.f64 (sqrt.f64 (.f64 C (.f64 F 2))) B)
(/.f64 (/.f64 (/.f64 (sqrt.f64 (.f64 (.f64 C F) 2)) (sqrt.f64 B)) (cbrt.f64 B)) (cbrt.f64 (sqrt.f64 B)))
(/.f64 (/.f64 (sqrt.f64 (.f64 C (.f64 F 2))) (sqrt.f64 B)) (*.f64 (cbrt.f64 (sqrt.f64 B)) (cbrt.f64 B)))
(/.f64 (sqrt.f64 (.f64 C (.f64 F 2))) (.f64 (.f64 (cbrt.f64 B) (cbrt.f64 (sqrt.f64 B))) (sqrt.f64 B)))
(/.f64 (/.f64 (/.f64 (sqrt.f64 (.f64 (.f64 C F) 2)) (sqrt.f64 B)) (sqrt.f64 (cbrt.f64 (*.f64 B B)))) (sqrt.f64 (cbrt.f64 B)))
(/.f64 (/.f64 (sqrt.f64 (.f64 C (.f64 F 2))) (sqrt.f64 B)) (.f64 (sqrt.f64 (cbrt.f64 B)) (sqrt.f64 (cbrt.f64 (.f64 B B)))))
(/.f64 (/.f64 (sqrt.f64 (.f64 C (.f64 F 2))) (sqrt.f64 B)) (.f64 (sqrt.f64 (cbrt.f64 (.f64 B B))) (sqrt.f64 (cbrt.f64 B))))
(/.f64 (/.f64 (/.f64 (sqrt.f64 (.f64 (.f64 C F) 2)) (sqrt.f64 B)) (sqrt.f64 (sqrt.f64 B))) (sqrt.f64 (sqrt.f64 B)))
(/.f64 (sqrt.f64 (.f64 C (.f64 F 2))) B)
(/.f64 (/.f64 (/.f64 (sqrt.f64 (.f64 (.f64 C F) 2)) (cbrt.f64 (*.f64 B B))) 1) (cbrt.f64 B))
(/.f64 (sqrt.f64 (.f64 C (.f64 F 2))) (.f64 (cbrt.f64 B) (cbrt.f64 (.f64 B B))))
(/.f64 (sqrt.f64 (.f64 C (.f64 F 2))) (.f64 (cbrt.f64 (.f64 B B)) (cbrt.f64 B)))
(/.f64 (/.f64 (/.f64 (sqrt.f64 (.f64 (.f64 C F) 2)) (cbrt.f64 (*.f64 B B))) (sqrt.f64 (cbrt.f64 B))) (sqrt.f64 (cbrt.f64 B)))
(/.f64 (sqrt.f64 (.f64 C (.f64 F 2))) (.f64 (cbrt.f64 B) (cbrt.f64 (.f64 B B))))
(/.f64 (sqrt.f64 (.f64 C (.f64 F 2))) (.f64 (cbrt.f64 (.f64 B B)) (cbrt.f64 B)))
(/.f64 (/.f64 (/.f64 (sqrt.f64 (.f64 (.f64 C F) 2)) (cbrt.f64 (.f64 B B))) (.f64 (cbrt.f64 (cbrt.f64 B)) (cbrt.f64 (cbrt.f64 B)))) (cbrt.f64 (cbrt.f64 B)))
(/.f64 (sqrt.f64 (.f64 C (.f64 F 2))) (.f64 (cbrt.f64 B) (cbrt.f64 (.f64 B B))))
(/.f64 (sqrt.f64 (.f64 C (.f64 F 2))) (.f64 (cbrt.f64 (.f64 B B)) (cbrt.f64 B)))
(/.f64 (/.f64 (/.f64 (sqrt.f64 (.f64 (.f64 C F) 2)) (cbrt.f64 (.f64 B B))) (cbrt.f64 (cbrt.f64 (.f64 B B)))) (cbrt.f64 (cbrt.f64 B)))
(/.f64 (/.f64 (sqrt.f64 (.f64 C (.f64 F 2))) (cbrt.f64 (.f64 B B))) (.f64 (cbrt.f64 (cbrt.f64 B)) (cbrt.f64 (cbrt.f64 (*.f64 B B)))))
(/.f64 (sqrt.f64 (.f64 C (.f64 F 2))) (.f64 (.f64 (cbrt.f64 (cbrt.f64 B)) (cbrt.f64 (cbrt.f64 (.f64 B B)))) (cbrt.f64 (.f64 B B))))
(/.f64 (/.f64 (/.f64 (sqrt.f64 (.f64 (.f64 C F) 2)) (cbrt.f64 (*.f64 B B))) (cbrt.f64 (sqrt.f64 B))) (cbrt.f64 (sqrt.f64 B)))
(/.f64 (/.f64 (sqrt.f64 (.f64 C (.f64 F 2))) (cbrt.f64 (.f64 B B))) (.f64 (cbrt.f64 (sqrt.f64 B)) (cbrt.f64 (sqrt.f64 B))))
(/.f64 (sqrt.f64 (.f64 C (.f64 F 2))) (.f64 (.f64 (cbrt.f64 (sqrt.f64 B)) (cbrt.f64 (sqrt.f64 B))) (cbrt.f64 (*.f64 B B))))
(pow.f64 (/.f64 (sqrt.f64 (.f64 (.f64 C F) 2)) B) 1)
(/.f64 (sqrt.f64 (.f64 C (.f64 F 2))) B)
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (.f64 (.f64 C F) 2)) B)) 2)
(/.f64 (sqrt.f64 (.f64 C (.f64 F 2))) B)
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 (.f64 C F) 2)) B)) 3)
(/.f64 (sqrt.f64 (.f64 C (.f64 F 2))) B)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 (.f64 C F) 2)) B) 3) 1/3)
(/.f64 (sqrt.f64 (.f64 C (.f64 F 2))) B)
(neg.f64 (.f64 (/.f64 (sqrt.f64 2) (neg.f64 B)) (sqrt.f64 (.f64 C F))))
(.f64 (/.f64 (sqrt.f64 2) B) (sqrt.f64 (.f64 C F)))
(.f64 (sqrt.f64 (.f64 C F)) (/.f64 (sqrt.f64 2) B))
(neg.f64 (.f64 (sqrt.f64 (.f64 C F)) (/.f64 (sqrt.f64 2) (neg.f64 B))))
(.f64 (/.f64 (sqrt.f64 2) B) (sqrt.f64 (.f64 C F)))
(.f64 (sqrt.f64 (.f64 C F)) (/.f64 (sqrt.f64 2) B))
(neg.f64 (/.f64 (sqrt.f64 (.f64 (.f64 C F) 2)) (neg.f64 B)))
(/.f64 (sqrt.f64 (.f64 C (.f64 F 2))) B)
(sqrt.f64 (/.f64 (.f64 (.f64 C F) 2) (*.f64 B B)))
(sqrt.f64 (.f64 (/.f64 (.f64 C F) B) (/.f64 2 B)))
(sqrt.f64 (*.f64 (/.f64 2 B) (/.f64 C (/.f64 B F))))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 (.f64 (.f64 C F) 2)) B)))
(/.f64 (sqrt.f64 (.f64 C (.f64 F 2))) B)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (.f64 (.f64 C F) 2)) B))))
(/.f64 (sqrt.f64 (.f64 C (.f64 F 2))) B)
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 (.f64 C F) 2)) B) 3))
(/.f64 (sqrt.f64 (.f64 C (.f64 F 2))) B)
(cbrt.f64 (.f64 (pow.f64 (/.f64 (sqrt.f64 2) B) 3) (pow.f64 (.f64 C F) 3/2)))
(cbrt.f64 (.f64 (pow.f64 (.f64 C F) 3/2) (pow.f64 (/.f64 (sqrt.f64 2) B) 3)))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (.f64 (.f64 C F) 2)) B)))
(/.f64 (sqrt.f64 (.f64 C (.f64 F 2))) B)
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (.f64 (.f64 C F) 2)) B)))
(/.f64 (sqrt.f64 (.f64 C (.f64 F 2))) B)
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (.f64 (.f64 C F) 2)) B)))
(/.f64 (sqrt.f64 (.f64 C (.f64 F 2))) B)

localize110.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	7.2b	(/.f64 (+.f64 (.f64 B B) (-.f64 (.f64 C C) (pow.f64 (neg.f64 C) 2))) A)
✓	11.5b	(sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (+.f64 (-.f64 A C) (.f64 1/2 (/.f64 (+.f64 (.f64 B B) (-.f64 (*.f64 C C) (pow.f64 (neg.f64 C) 2))) A))))))))
✓	13.8b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (+.f64 (-.f64 A C) (.f64 1/2 (/.f64 (+.f64 (.f64 B B) (-.f64 (.f64 C C) (pow.f64 (neg.f64 C) 2))) A))))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
✓	16.5b	(-.f64 (*.f64 C C) (pow.f64 (neg.f64 C) 2))

Compiler

Compiled 373 to 161 computations (56.8% saved)

series64.0ms (0.1%)

Counts

4 → 96

Calls

36 calls:

Time	Variable		Point	Expression
29.0ms	B	@	0	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (+.f64 (-.f64 A C) (.f64 1/2 (/.f64 (+.f64 (.f64 B B) (-.f64 (.f64 C C) (pow.f64 (neg.f64 C) 2))) A))))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
3.0ms	F	@	-inf	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (+.f64 (-.f64 A C) (.f64 1/2 (/.f64 (+.f64 (.f64 B B) (-.f64 (.f64 C C) (pow.f64 (neg.f64 C) 2))) A))))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
2.0ms	C	@	inf	(sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (+.f64 (-.f64 A C) (.f64 1/2 (/.f64 (+.f64 (.f64 B B) (-.f64 (*.f64 C C) (pow.f64 (neg.f64 C) 2))) A))))))))
2.0ms	C	@	0	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (+.f64 (-.f64 A C) (.f64 1/2 (/.f64 (+.f64 (.f64 B B) (-.f64 (.f64 C C) (pow.f64 (neg.f64 C) 2))) A))))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
2.0ms	F	@	0	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (+.f64 (-.f64 A C) (.f64 1/2 (/.f64 (+.f64 (.f64 B B) (-.f64 (.f64 C C) (pow.f64 (neg.f64 C) 2))) A))))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))

rewrite84.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

766×	`add-sqr-sqrt`
750×	`*-un-lft-identity`
748×	`pow1`
714×	`add-exp-log`
712×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	320
1	735	320

Stop Event

1×	node limit

Counts

4 → 64

Calls

Call 1

Inputs
(-.f64 (*.f64 C C) (pow.f64 (neg.f64 C) 2))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (+.f64 (-.f64 A C) (.f64 1/2 (/.f64 (+.f64 (.f64 B B) (-.f64 (.f64 C C) (pow.f64 (neg.f64 C) 2))) A))))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (+.f64 (-.f64 A C) (.f64 1/2 (/.f64 (+.f64 (.f64 B B) (-.f64 (*.f64 C C) (pow.f64 (neg.f64 C) 2))) A))))))))
(/.f64 (+.f64 (.f64 B B) (-.f64 (.f64 C C) (pow.f64 (neg.f64 C) 2))) A)

Outputs
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simplify132.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1460×	`distribute-lft-in`
884×	`associate-r`
746×	`associate-/r/`
634×	`associate-l`
564×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	350	11184
1	1061	10810
2	5122	10802

Stop Event

1×	node limit

Counts

160 → 160

Calls

Call 1

Inputs
0
0
0
0
0
0
0
0
0
0
0
0
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(log1p.f64 (expm1.f64 (/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (-.f64 (.f64 B B) (.f64 C (.f64 4 A))) (.f64 F (+.f64 A (+.f64 (-.f64 C A) (-.f64 C (.f64 1/2 (/.f64 (fma.f64 B B (-.f64 (.f64 C C) (pow.f64 (neg.f64 C) 2))) A)))))))))) (-.f64 (.f64 B B) (.f64 C (*.f64 4 A))))))
(.f64 (sqrt.f64 (.f64 2 (.f64 (-.f64 (.f64 B B) (.f64 C (.f64 4 A))) (.f64 F (+.f64 A (+.f64 (-.f64 C A) (-.f64 C (.f64 1/2 (/.f64 (fma.f64 B B (-.f64 (*.f64 C C) (pow.f64 (neg.f64 C) 2))) A))))))))) 1)
(.f64 1 (sqrt.f64 (.f64 2 (.f64 (-.f64 (.f64 B B) (.f64 C (.f64 4 A))) (.f64 F (+.f64 A (+.f64 (-.f64 C A) (-.f64 C (.f64 1/2 (/.f64 (fma.f64 B B (-.f64 (*.f64 C C) (pow.f64 (neg.f64 C) 2))) A))))))))))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 2 (.f64 (-.f64 (.f64 B B) (.f64 C (.f64 4 A))) (.f64 F (+.f64 A (+.f64 (-.f64 C A) (-.f64 C (.f64 1/2 (/.f64 (fma.f64 B B (-.f64 (.f64 C C) (pow.f64 (neg.f64 C) 2))) A)))))))))) (sqrt.f64 (sqrt.f64 (.f64 2 (.f64 (-.f64 (.f64 B B) (.f64 C (.f64 4 A))) (.f64 F (+.f64 A (+.f64 (-.f64 C A) (-.f64 C (.f64 1/2 (/.f64 (fma.f64 B B (-.f64 (*.f64 C C) (pow.f64 (neg.f64 C) 2))) A)))))))))))
(.f64 (sqrt.f64 (.f64 (-.f64 (.f64 B B) (.f64 C (.f64 4 A))) (.f64 F (+.f64 A (+.f64 (-.f64 C A) (-.f64 C (.f64 1/2 (/.f64 (fma.f64 B B (-.f64 (.f64 C C) (pow.f64 (neg.f64 C) 2))) A)))))))) (sqrt.f64 2))
(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (-.f64 (.f64 B B) (.f64 C (.f64 4 A))) (.f64 F (+.f64 A (+.f64 (-.f64 C A) (-.f64 C (.f64 1/2 (/.f64 (fma.f64 B B (-.f64 (.f64 C C) (pow.f64 (neg.f64 C) 2))) A)))))))))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 2 (.f64 (-.f64 (.f64 B B) (.f64 C (.f64 4 A))) (.f64 F (+.f64 A (+.f64 (-.f64 C A) (-.f64 C (.f64 1/2 (/.f64 (fma.f64 B B (-.f64 (.f64 C C) (pow.f64 (neg.f64 C) 2))) A)))))))))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 2 (.f64 (-.f64 (.f64 B B) (.f64 C (.f64 4 A))) (.f64 F (+.f64 A (+.f64 (-.f64 C A) (-.f64 C (.f64 1/2 (/.f64 (fma.f64 B B (-.f64 (.f64 C C) (pow.f64 (neg.f64 C) 2))) A)))))))))) (cbrt.f64 (sqrt.f64 (.f64 2 (.f64 (-.f64 (.f64 B B) (.f64 C (.f64 4 A))) (.f64 F (+.f64 A (+.f64 (-.f64 C A) (-.f64 C (.f64 1/2 (/.f64 (fma.f64 B B (-.f64 (.f64 C C) (pow.f64 (neg.f64 C) 2))) A))))))))))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 2 (.f64 (-.f64 (.f64 B B) (.f64 C (.f64 4 A))) (.f64 F (+.f64 A (+.f64 (-.f64 C A) (-.f64 C (.f64 1/2 (/.f64 (fma.f64 B B (-.f64 (.f64 C C) (pow.f64 (neg.f64 C) 2))) A)))))))))) (cbrt.f64 (sqrt.f64 (.f64 2 (.f64 (-.f64 (.f64 B B) (.f64 C (.f64 4 A))) (.f64 F (+.f64 A (+.f64 (-.f64 C A) (-.f64 C (.f64 1/2 (/.f64 (fma.f64 B B (-.f64 (.f64 C C) (pow.f64 (neg.f64 C) 2))) A))))))))))) (cbrt.f64 (sqrt.f64 (.f64 2 (.f64 (-.f64 (.f64 B B) (.f64 C (.f64 4 A))) (.f64 F (+.f64 A (+.f64 (-.f64 C A) (-.f64 C (.f64 1/2 (/.f64 (fma.f64 B B (-.f64 (.f64 C C) (pow.f64 (neg.f64 C) 2))) A)))))))))))
(pow.f64 (.f64 2 (.f64 (-.f64 (.f64 B B) (.f64 C (.f64 4 A))) (.f64 F (+.f64 A (+.f64 (-.f64 C A) (-.f64 C (.f64 1/2 (/.f64 (fma.f64 B B (-.f64 (.f64 C C) (pow.f64 (neg.f64 C) 2))) A)))))))) 1/2)
(pow.f64 (sqrt.f64 (.f64 2 (.f64 (-.f64 (.f64 B B) (.f64 C (.f64 4 A))) (.f64 F (+.f64 A (+.f64 (-.f64 C A) (-.f64 C (.f64 1/2 (/.f64 (fma.f64 B B (-.f64 (.f64 C C) (pow.f64 (neg.f64 C) 2))) A))))))))) 1)
(log.f64 (exp.f64 (sqrt.f64 (.f64 2 (.f64 (-.f64 (.f64 B B) (.f64 C (.f64 4 A))) (.f64 F (+.f64 A (+.f64 (-.f64 C A) (-.f64 C (.f64 1/2 (/.f64 (fma.f64 B B (-.f64 (.f64 C C) (pow.f64 (neg.f64 C) 2))) A)))))))))))
(cbrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 C (.f64 4 A))) (.f64 F (+.f64 A (+.f64 (-.f64 C A) (-.f64 C (.f64 1/2 (/.f64 (fma.f64 B B (-.f64 (.f64 C C) (pow.f64 (neg.f64 C) 2))) A))))))) (sqrt.f64 (.f64 2 (.f64 (-.f64 (.f64 B B) (.f64 C (.f64 4 A))) (.f64 F (+.f64 A (+.f64 (-.f64 C A) (-.f64 C (.f64 1/2 (/.f64 (fma.f64 B B (-.f64 (*.f64 C C) (pow.f64 (neg.f64 C) 2))) A))))))))))))
(expm1.f64 (log1p.f64 (sqrt.f64 (.f64 2 (.f64 (-.f64 (.f64 B B) (.f64 C (.f64 4 A))) (.f64 F (+.f64 A (+.f64 (-.f64 C A) (-.f64 C (.f64 1/2 (/.f64 (fma.f64 B B (-.f64 (.f64 C C) (pow.f64 (neg.f64 C) 2))) A)))))))))))
(exp.f64 (log.f64 (sqrt.f64 (.f64 2 (.f64 (-.f64 (.f64 B B) (.f64 C (.f64 4 A))) (.f64 F (+.f64 A (+.f64 (-.f64 C A) (-.f64 C (.f64 1/2 (/.f64 (fma.f64 B B (-.f64 (.f64 C C) (pow.f64 (neg.f64 C) 2))) A)))))))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (.f64 2 (.f64 (-.f64 (.f64 B B) (.f64 C (.f64 4 A))) (.f64 F (+.f64 A (+.f64 (-.f64 C A) (-.f64 C (.f64 1/2 (/.f64 (fma.f64 B B (-.f64 (.f64 C C) (pow.f64 (neg.f64 C) 2))) A)))))))))))
(.f64 (fma.f64 B B (-.f64 (.f64 C C) (pow.f64 (neg.f64 C) 2))) (/.f64 1 A))
(.f64 (/.f64 (fma.f64 B B (-.f64 (.f64 C C) (pow.f64 (neg.f64 C) 2))) A) 1)
(.f64 1 (/.f64 (fma.f64 B B (-.f64 (.f64 C C) (pow.f64 (neg.f64 C) 2))) A))
(.f64 (sqrt.f64 (fma.f64 B B (-.f64 (.f64 C C) (pow.f64 (neg.f64 C) 2)))) (.f64 (sqrt.f64 (fma.f64 B B (-.f64 (.f64 C C) (pow.f64 (neg.f64 C) 2)))) (/.f64 1 A)))
(.f64 (sqrt.f64 (/.f64 (fma.f64 B B (-.f64 (.f64 C C) (pow.f64 (neg.f64 C) 2))) A)) (sqrt.f64 (/.f64 (fma.f64 B B (-.f64 (*.f64 C C) (pow.f64 (neg.f64 C) 2))) A)))
(.f64 (.f64 (cbrt.f64 (fma.f64 B B (-.f64 (.f64 C C) (pow.f64 (neg.f64 C) 2)))) (cbrt.f64 (fma.f64 B B (-.f64 (.f64 C C) (pow.f64 (neg.f64 C) 2))))) (.f64 (cbrt.f64 (fma.f64 B B (-.f64 (.f64 C C) (pow.f64 (neg.f64 C) 2)))) (/.f64 1 A)))
(.f64 (cbrt.f64 (/.f64 (fma.f64 B B (-.f64 (.f64 C C) (pow.f64 (neg.f64 C) 2))) A)) (.f64 (cbrt.f64 (/.f64 (fma.f64 B B (-.f64 (.f64 C C) (pow.f64 (neg.f64 C) 2))) A)) (cbrt.f64 (/.f64 (fma.f64 B B (-.f64 (*.f64 C C) (pow.f64 (neg.f64 C) 2))) A))))
(.f64 (.f64 (cbrt.f64 (/.f64 (fma.f64 B B (-.f64 (.f64 C C) (pow.f64 (neg.f64 C) 2))) A)) (cbrt.f64 (/.f64 (fma.f64 B B (-.f64 (.f64 C C) (pow.f64 (neg.f64 C) 2))) A))) (cbrt.f64 (/.f64 (fma.f64 B B (-.f64 (*.f64 C C) (pow.f64 (neg.f64 C) 2))) A)))
(.f64 (/.f64 1 A) (fma.f64 B B (-.f64 (.f64 C C) (pow.f64 (neg.f64 C) 2))))
(pow.f64 (/.f64 (fma.f64 B B (-.f64 (*.f64 C C) (pow.f64 (neg.f64 C) 2))) A) 1)
(log.f64 (exp.f64 (/.f64 (fma.f64 B B (-.f64 (*.f64 C C) (pow.f64 (neg.f64 C) 2))) A)))
(cbrt.f64 (.f64 (/.f64 (fma.f64 B B (-.f64 (.f64 C C) (pow.f64 (neg.f64 C) 2))) A) (.f64 (/.f64 (fma.f64 B B (-.f64 (.f64 C C) (pow.f64 (neg.f64 C) 2))) A) (/.f64 (fma.f64 B B (-.f64 (*.f64 C C) (pow.f64 (neg.f64 C) 2))) A))))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 B B (-.f64 (*.f64 C C) (pow.f64 (neg.f64 C) 2))) A)))
(exp.f64 (log.f64 (/.f64 (fma.f64 B B (-.f64 (*.f64 C C) (pow.f64 (neg.f64 C) 2))) A)))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 B B (-.f64 (*.f64 C C) (pow.f64 (neg.f64 C) 2))) A)))

Outputs
0
0
0
0
0
0
0
0
0
0
0
0
(.f64 -1 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1/2)) (sqrt.f64 (/.f64 F A))))
(neg.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1/2) (sqrt.f64 (/.f64 F A)))))
(.f64 (neg.f64 (sqrt.f64 2)) (.f64 (sqrt.f64 -1/2) (sqrt.f64 (/.f64 F A))))
(.f64 -1 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1/2)) (sqrt.f64 (/.f64 F A))))
(neg.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1/2) (sqrt.f64 (/.f64 F A)))))
(.f64 (neg.f64 (sqrt.f64 2)) (.f64 (sqrt.f64 -1/2) (sqrt.f64 (/.f64 F A))))
(.f64 -1 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1/2)) (sqrt.f64 (/.f64 F A))))
(neg.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1/2) (sqrt.f64 (/.f64 F A)))))
(.f64 (neg.f64 (sqrt.f64 2)) (.f64 (sqrt.f64 -1/2) (sqrt.f64 (/.f64 F A))))
(.f64 -1 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1/2)) (sqrt.f64 (/.f64 F A))))
(neg.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1/2) (sqrt.f64 (/.f64 F A)))))
(.f64 (neg.f64 (sqrt.f64 2)) (.f64 (sqrt.f64 -1/2) (sqrt.f64 (/.f64 F A))))
(.f64 -1 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1/2)) (sqrt.f64 (/.f64 F A))))
(neg.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1/2) (sqrt.f64 (/.f64 F A)))))
(.f64 (neg.f64 (sqrt.f64 2)) (.f64 (sqrt.f64 -1/2) (sqrt.f64 (/.f64 F A))))
(.f64 -1 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1/2)) (sqrt.f64 (/.f64 F A))))
(neg.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1/2) (sqrt.f64 (/.f64 F A)))))
(.f64 (neg.f64 (sqrt.f64 2)) (.f64 (sqrt.f64 -1/2) (sqrt.f64 (/.f64 F A))))
(.f64 -1 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1/2)) (sqrt.f64 (/.f64 F A))))
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(.f64 -1 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1/2)) (sqrt.f64 (/.f64 F A))))
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(.f64 -1 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1/2)) (sqrt.f64 (/.f64 F A))))
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(.f64 (neg.f64 (sqrt.f64 2)) (.f64 (sqrt.f64 -1/2) (sqrt.f64 (/.f64 F A))))
(.f64 -1 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1/2)) (sqrt.f64 (/.f64 F A))))
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(.f64 -1 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1/2)) (sqrt.f64 (/.f64 F A))))
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(.f64 -1 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1/2)) (sqrt.f64 (/.f64 F A))))
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(.f64 (neg.f64 (sqrt.f64 2)) (.f64 (sqrt.f64 -1/2) (sqrt.f64 (/.f64 F A))))
(.f64 -1 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1/2)) (sqrt.f64 (/.f64 F A))))
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(.f64 -1 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1/2)) (sqrt.f64 (/.f64 F A))))
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(.f64 (neg.f64 (sqrt.f64 2)) (.f64 (sqrt.f64 -1/2) (sqrt.f64 (/.f64 F A))))
(.f64 -1 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1/2)) (sqrt.f64 (/.f64 F A))))
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(.f64 -1 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1/2)) (sqrt.f64 (/.f64 F A))))
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(.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 -2)) (neg.f64 (sqrt.f64 (/.f64 F A))))
(.f64 (sqrt.f64 (.f64 A F)) (.f64 (sqrt.f64 2) (.f64 C (sqrt.f64 -8))))
(.f64 (sqrt.f64 (.f64 F A)) (.f64 (.f64 (sqrt.f64 2) C) (sqrt.f64 -8)))
(.f64 (sqrt.f64 2) (.f64 (.f64 C (sqrt.f64 -8)) (sqrt.f64 (.f64 F A))))
(+.f64 (.f64 2 (.f64 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 B 2)) (sqrt.f64 -8)) (sqrt.f64 (/.f64 F A)))) (.f64 (sqrt.f64 (.f64 A F)) (.f64 (sqrt.f64 2) (*.f64 C (sqrt.f64 -8)))))
(fma.f64 2 (.f64 (sqrt.f64 (/.f64 F A)) (/.f64 (.f64 (sqrt.f64 2) (.f64 B B)) (sqrt.f64 -8))) (.f64 (sqrt.f64 (.f64 F A)) (.f64 (*.f64 (sqrt.f64 2) C) (sqrt.f64 -8))))
(fma.f64 2 (/.f64 (.f64 (sqrt.f64 2) (.f64 B B)) (/.f64 (sqrt.f64 -8) (sqrt.f64 (/.f64 F A)))) (.f64 (sqrt.f64 2) (.f64 (.f64 C (sqrt.f64 -8)) (sqrt.f64 (.f64 F A)))))
(+.f64 (.f64 2 (.f64 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 B 2)) (sqrt.f64 -8)) (sqrt.f64 (/.f64 F A)))) (+.f64 (.f64 (sqrt.f64 (.f64 A F)) (.f64 (sqrt.f64 2) (.f64 C (sqrt.f64 -8)))) (.f64 1/2 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (.f64 -1/2 (/.f64 F A)) (pow.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 F A)) (/.f64 1 (sqrt.f64 -8)))) 2)) (pow.f64 B 4))) (.f64 C (sqrt.f64 -8))) (sqrt.f64 (/.f64 1 (.f64 A F)))))))
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(/.f64 (fma.f64 B B (-.f64 (*.f64 C C) (pow.f64 (neg.f64 C) 2))) A)
(/.f64 (fma.f64 B B (-.f64 (.f64 C C) (.f64 C C))) A)
(cbrt.f64 (.f64 (/.f64 (fma.f64 B B (-.f64 (.f64 C C) (pow.f64 (neg.f64 C) 2))) A) (.f64 (/.f64 (fma.f64 B B (-.f64 (.f64 C C) (pow.f64 (neg.f64 C) 2))) A) (/.f64 (fma.f64 B B (-.f64 (*.f64 C C) (pow.f64 (neg.f64 C) 2))) A))))
(/.f64 (fma.f64 B B (-.f64 (*.f64 C C) (pow.f64 (neg.f64 C) 2))) A)
(/.f64 (fma.f64 B B (-.f64 (.f64 C C) (.f64 C C))) A)
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 B B (-.f64 (*.f64 C C) (pow.f64 (neg.f64 C) 2))) A)))
(/.f64 (fma.f64 B B (-.f64 (*.f64 C C) (pow.f64 (neg.f64 C) 2))) A)
(/.f64 (fma.f64 B B (-.f64 (.f64 C C) (.f64 C C))) A)
(exp.f64 (log.f64 (/.f64 (fma.f64 B B (-.f64 (*.f64 C C) (pow.f64 (neg.f64 C) 2))) A)))
(/.f64 (fma.f64 B B (-.f64 (*.f64 C C) (pow.f64 (neg.f64 C) 2))) A)
(/.f64 (fma.f64 B B (-.f64 (.f64 C C) (.f64 C C))) A)
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 B B (-.f64 (*.f64 C C) (pow.f64 (neg.f64 C) 2))) A)))
(/.f64 (fma.f64 B B (-.f64 (*.f64 C C) (pow.f64 (neg.f64 C) 2))) A)
(/.f64 (fma.f64 B B (-.f64 (.f64 C C) (.f64 C C))) A)

localize37.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(pow.f64 (/.f64 B (sqrt.f64 2)) -1)
✓	0.4b	(/.f64 B (sqrt.f64 2))
	2.4b	(.f64 F (-.f64 A (fma.f64 1/2 (.f64 (/.f64 A B) A) B)))
	10.3b	(sqrt.f64 (.f64 F (-.f64 A (fma.f64 1/2 (.f64 (/.f64 A B) A) B))))

Compiler

Compiled 101 to 51 computations (49.5% saved)

series2.0ms (0%)

Counts

2 → 12

Calls

6 calls:

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

rewrite64.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1692×	`add-sqr-sqrt`
1666×	`*-un-lft-identity`
1556×	`add-cube-cbrt`
1540×	`add-cbrt-cube`
170×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	28
1	187	22
2	2174	22

Stop Event

1×	node limit

Counts

2 → 74

Calls

Call 1

Inputs
(/.f64 B (sqrt.f64 2))
(pow.f64 (/.f64 B (sqrt.f64 2)) -1)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 B (sqrt.f64 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 B (pow.f64 2 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 B (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 B (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 B) (*.f64 (sqrt.f64 B) (pow.f64 2 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 B (sqrt.f64 2))) (sqrt.f64 (/.f64 B (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 B) 2) (*.f64 (cbrt.f64 B) (pow.f64 2 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 B (sqrt.f64 2))) (cbrt.f64 (/.f64 (*.f64 B B) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 B B) 2)) (cbrt.f64 (/.f64 B (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 2 -1/2) B)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 B) (/.f64 1 (neg.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 B (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 B (cbrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 B) 1) (/.f64 (sqrt.f64 B) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 B) (cbrt.f64 2)) (/.f64 (sqrt.f64 B) (cbrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 B) 2) 1) (/.f64 (cbrt.f64 B) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 B) 2) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 B) (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 B) 2) (cbrt.f64 2)) (cbrt.f64 (/.f64 B (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 B (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 2) B) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 B (sqrt.f64 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 B (sqrt.f64 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 B (sqrt.f64 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 B (neg.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 B B) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 B (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 B (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 B (sqrt.f64 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 B (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 B (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 B (sqrt.f64 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 B (sqrt.f64 2))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 2) B))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 2) (/.f64 1 B))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 2) B) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sqrt.f64 2) B))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) B)) (sqrt.f64 (/.f64 (sqrt.f64 2) B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) B)) (pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) B)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) B)) 2) (cbrt.f64 (/.f64 (sqrt.f64 2) B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 B) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 B)) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 B)) (/.f64 (sqrt.f64 2) (sqrt.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 B) 2)) (/.f64 (sqrt.f64 2) (cbrt.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 2 1/4) 1) (/.f64 (pow.f64 2 1/4) B))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 2 1/4) (sqrt.f64 B)) (/.f64 (pow.f64 2 1/4) (sqrt.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 2 1/4) (pow.f64 (cbrt.f64 B) 2)) (/.f64 (pow.f64 2 1/4) (cbrt.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 2) 1) (/.f64 (cbrt.f64 (sqrt.f64 2)) B))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 2) (sqrt.f64 B)) (/.f64 (cbrt.f64 (sqrt.f64 2)) (sqrt.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 2) (pow.f64 (cbrt.f64 B) 2)) (/.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 B -1) (pow.f64 (pow.f64 2 -1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 B (sqrt.f64 2))) -1) (pow.f64 (sqrt.f64 (/.f64 B (sqrt.f64 2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 B B) 2)) -1) (pow.f64 (cbrt.f64 (/.f64 B (sqrt.f64 2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 2) B)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 B (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 B (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 B (sqrt.f64 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) B)) (sqrt.f64 (/.f64 B (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 2 1/4) (/.f64 B (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 2) (/.f64 B (cbrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 2)) (neg.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 B) (pow.f64 2 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (cbrt.f64 (/.f64 (*.f64 B B) 2))) (cbrt.f64 (/.f64 B (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sqrt.f64 2) 1) B)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 B)) (sqrt.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 B) 2)) (cbrt.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 B (sqrt.f64 2)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sqrt.f64 2) B)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 2) B))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 2) B) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 2) B)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sqrt.f64 2) B)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (sqrt.f64 2)) (log.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 2) B)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 2) B)))))))

simplify64.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1444×	`associate-+l+`
1122×	`associate-*r/`
844×	`associate-*l/`
766×	`associate-/l*`
752×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	169	1266
1	390	1254
2	1449	1230
3	6349	1230

Stop Event

1×	node limit

Counts

86 → 89

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 2) B)
(/.f64 (sqrt.f64 2) B)
(/.f64 (sqrt.f64 2) B)
(/.f64 (sqrt.f64 2) B)
(/.f64 (sqrt.f64 2) B)
(/.f64 (sqrt.f64 2) B)
(/.f64 (sqrt.f64 2) B)
(/.f64 (sqrt.f64 2) B)
(/.f64 (sqrt.f64 2) B)
(/.f64 (sqrt.f64 2) B)
(/.f64 (sqrt.f64 2) B)
(/.f64 (sqrt.f64 2) B)
(-.f64 (exp.f64 (log1p.f64 (/.f64 B (sqrt.f64 2)))) 1)
(*.f64 B (pow.f64 2 -1/2))
(*.f64 (/.f64 B (sqrt.f64 2)) 1)
(*.f64 1 (/.f64 B (sqrt.f64 2)))
(.f64 (sqrt.f64 B) (.f64 (sqrt.f64 B) (pow.f64 2 -1/2)))
(*.f64 (sqrt.f64 (/.f64 B (sqrt.f64 2))) (sqrt.f64 (/.f64 B (sqrt.f64 2))))
(.f64 (pow.f64 (cbrt.f64 B) 2) (.f64 (cbrt.f64 B) (pow.f64 2 -1/2)))
(.f64 (cbrt.f64 (/.f64 B (sqrt.f64 2))) (cbrt.f64 (/.f64 (.f64 B B) 2)))
(.f64 (cbrt.f64 (/.f64 (.f64 B B) 2)) (cbrt.f64 (/.f64 B (sqrt.f64 2))))
(*.f64 (pow.f64 2 -1/2) B)
(*.f64 (neg.f64 B) (/.f64 1 (neg.f64 (sqrt.f64 2))))
(*.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 B (pow.f64 2 1/4)))
(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 B (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 (sqrt.f64 B) 1) (/.f64 (sqrt.f64 B) (sqrt.f64 2)))
(*.f64 (/.f64 (sqrt.f64 B) (cbrt.f64 2)) (/.f64 (sqrt.f64 B) (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 B) 2) 1) (/.f64 (cbrt.f64 B) (sqrt.f64 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 B) 2) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 B) (pow.f64 2 1/4)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 B) 2) (cbrt.f64 2)) (cbrt.f64 (/.f64 B (sqrt.f64 2))))
(pow.f64 (/.f64 B (sqrt.f64 2)) 1)
(pow.f64 (/.f64 (sqrt.f64 2) B) -1)
(pow.f64 (sqrt.f64 (/.f64 B (sqrt.f64 2))) 2)
(pow.f64 (cbrt.f64 (/.f64 B (sqrt.f64 2))) 3)
(pow.f64 (pow.f64 (/.f64 B (sqrt.f64 2)) 3) 1/3)
(neg.f64 (/.f64 B (neg.f64 (sqrt.f64 2))))
(sqrt.f64 (/.f64 (*.f64 B B) 2))
(log.f64 (exp.f64 (/.f64 B (sqrt.f64 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 B (sqrt.f64 2)))))
(cbrt.f64 (pow.f64 (/.f64 B (sqrt.f64 2)) 3))
(expm1.f64 (log1p.f64 (/.f64 B (sqrt.f64 2))))
(exp.f64 (log.f64 (/.f64 B (sqrt.f64 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 B (sqrt.f64 2))) 1))
(log1p.f64 (expm1.f64 (/.f64 B (sqrt.f64 2))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 2) B))) 1)
(*.f64 (sqrt.f64 2) (/.f64 1 B))
(*.f64 (/.f64 (sqrt.f64 2) B) 1)
(*.f64 1 (/.f64 (sqrt.f64 2) B))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) B)) (sqrt.f64 (/.f64 (sqrt.f64 2) B)))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) B)) (pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) B)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) B)) 2) (cbrt.f64 (/.f64 (sqrt.f64 2) B)))
(*.f64 (/.f64 1 B) (sqrt.f64 2))
(*.f64 (/.f64 1 (neg.f64 B)) (neg.f64 (sqrt.f64 2)))
(*.f64 (/.f64 1 (sqrt.f64 B)) (/.f64 (sqrt.f64 2) (sqrt.f64 B)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 B) 2)) (/.f64 (sqrt.f64 2) (cbrt.f64 B)))
(*.f64 (/.f64 (pow.f64 2 1/4) 1) (/.f64 (pow.f64 2 1/4) B))
(*.f64 (/.f64 (pow.f64 2 1/4) (sqrt.f64 B)) (/.f64 (pow.f64 2 1/4) (sqrt.f64 B)))
(*.f64 (/.f64 (pow.f64 2 1/4) (pow.f64 (cbrt.f64 B) 2)) (/.f64 (pow.f64 2 1/4) (cbrt.f64 B)))
(*.f64 (/.f64 (cbrt.f64 2) 1) (/.f64 (cbrt.f64 (sqrt.f64 2)) B))
(*.f64 (/.f64 (cbrt.f64 2) (sqrt.f64 B)) (/.f64 (cbrt.f64 (sqrt.f64 2)) (sqrt.f64 B)))
(*.f64 (/.f64 (cbrt.f64 2) (pow.f64 (cbrt.f64 B) 2)) (/.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 B)))
(*.f64 (pow.f64 B -1) (pow.f64 (pow.f64 2 -1/2) -1))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 B (sqrt.f64 2))) -1) (pow.f64 (sqrt.f64 (/.f64 B (sqrt.f64 2))) -1))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 B B) 2)) -1) (pow.f64 (cbrt.f64 (/.f64 B (sqrt.f64 2))) -1))
(/.f64 (sqrt.f64 2) B)
(/.f64 -1 (neg.f64 (/.f64 B (sqrt.f64 2))))
(/.f64 1 (/.f64 B (sqrt.f64 2)))
(/.f64 1 (/.f64 (/.f64 B (sqrt.f64 2)) 1))
(/.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) B)) (sqrt.f64 (/.f64 B (sqrt.f64 2))))
(/.f64 (pow.f64 2 1/4) (/.f64 B (pow.f64 2 1/4)))
(/.f64 (cbrt.f64 2) (/.f64 B (cbrt.f64 (sqrt.f64 2))))
(/.f64 (neg.f64 (sqrt.f64 2)) (neg.f64 B))
(/.f64 (/.f64 1 B) (pow.f64 2 -1/2))
(/.f64 (/.f64 1 (cbrt.f64 (/.f64 (*.f64 B B) 2))) (cbrt.f64 (/.f64 B (sqrt.f64 2))))
(/.f64 (/.f64 (sqrt.f64 2) 1) B)
(/.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 B)) (sqrt.f64 B))
(/.f64 (/.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 B) 2)) (cbrt.f64 B))
(sqrt.f64 (pow.f64 (/.f64 B (sqrt.f64 2)) -2))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 2) B)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 2) B))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 2) B) 3))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 2) B)))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 2) B)))
(exp.f64 (-.f64 (log.f64 (sqrt.f64 2)) (log.f64 B)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 2) B)) 1))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 2) B)))

Outputs
(/.f64 (sqrt.f64 2) B)
(/.f64 (sqrt.f64 2) B)
(/.f64 (sqrt.f64 2) B)
(/.f64 (sqrt.f64 2) B)
(/.f64 (sqrt.f64 2) B)
(/.f64 (sqrt.f64 2) B)
(/.f64 (sqrt.f64 2) B)
(/.f64 (sqrt.f64 2) B)
(/.f64 (sqrt.f64 2) B)
(/.f64 (sqrt.f64 2) B)
(/.f64 (sqrt.f64 2) B)
(/.f64 (sqrt.f64 2) B)
(-.f64 (exp.f64 (log1p.f64 (/.f64 B (sqrt.f64 2)))) 1)
(/.f64 B (sqrt.f64 2))
(*.f64 B (pow.f64 2 -1/2))
(*.f64 (/.f64 B (sqrt.f64 2)) 1)
(/.f64 B (sqrt.f64 2))
(*.f64 1 (/.f64 B (sqrt.f64 2)))
(/.f64 B (sqrt.f64 2))
(.f64 (sqrt.f64 B) (.f64 (sqrt.f64 B) (pow.f64 2 -1/2)))
(*.f64 B (pow.f64 2 -1/2))
(*.f64 (sqrt.f64 (/.f64 B (sqrt.f64 2))) (sqrt.f64 (/.f64 B (sqrt.f64 2))))
(/.f64 B (sqrt.f64 2))
(.f64 (pow.f64 (cbrt.f64 B) 2) (.f64 (cbrt.f64 B) (pow.f64 2 -1/2)))
(*.f64 B (pow.f64 2 -1/2))
(.f64 (cbrt.f64 (/.f64 B (sqrt.f64 2))) (cbrt.f64 (/.f64 (.f64 B B) 2)))
(.f64 (cbrt.f64 (/.f64 B (sqrt.f64 2))) (cbrt.f64 (.f64 (/.f64 B 2) B)))
(.f64 (cbrt.f64 (/.f64 B (sqrt.f64 2))) (cbrt.f64 (.f64 B (/.f64 B 2))))
(.f64 (cbrt.f64 (/.f64 (.f64 B B) 2)) (cbrt.f64 (/.f64 B (sqrt.f64 2))))
(.f64 (cbrt.f64 (/.f64 B (sqrt.f64 2))) (cbrt.f64 (/.f64 (.f64 B B) 2)))
(.f64 (cbrt.f64 (/.f64 B (sqrt.f64 2))) (cbrt.f64 (.f64 (/.f64 B 2) B)))
(.f64 (cbrt.f64 (/.f64 B (sqrt.f64 2))) (cbrt.f64 (.f64 B (/.f64 B 2))))
(*.f64 (pow.f64 2 -1/2) B)
(*.f64 B (pow.f64 2 -1/2))
(*.f64 (neg.f64 B) (/.f64 1 (neg.f64 (sqrt.f64 2))))
(/.f64 B (sqrt.f64 2))
(*.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 B (pow.f64 2 1/4)))
(/.f64 B (sqrt.f64 2))
(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 B (cbrt.f64 (sqrt.f64 2))))
(/.f64 (/.f64 B (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))
(*.f64 (/.f64 (sqrt.f64 B) 1) (/.f64 (sqrt.f64 B) (sqrt.f64 2)))
(/.f64 B (sqrt.f64 2))
(*.f64 (/.f64 (sqrt.f64 B) (cbrt.f64 2)) (/.f64 (sqrt.f64 B) (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 B (cbrt.f64 (sqrt.f64 2))))
(/.f64 (/.f64 B (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 B) 2) 1) (/.f64 (cbrt.f64 B) (sqrt.f64 2)))
(/.f64 B (sqrt.f64 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 B) 2) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 B) (pow.f64 2 1/4)))
(/.f64 B (sqrt.f64 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 B) 2) (cbrt.f64 2)) (cbrt.f64 (/.f64 B (sqrt.f64 2))))
(*.f64 (cbrt.f64 (/.f64 B (sqrt.f64 2))) (/.f64 (pow.f64 (cbrt.f64 B) 2) (cbrt.f64 2)))
(pow.f64 (/.f64 B (sqrt.f64 2)) 1)
(/.f64 B (sqrt.f64 2))
(pow.f64 (/.f64 (sqrt.f64 2) B) -1)
(/.f64 B (sqrt.f64 2))
(pow.f64 (sqrt.f64 (/.f64 B (sqrt.f64 2))) 2)
(/.f64 B (sqrt.f64 2))
(pow.f64 (cbrt.f64 (/.f64 B (sqrt.f64 2))) 3)
(/.f64 B (sqrt.f64 2))
(pow.f64 (pow.f64 (/.f64 B (sqrt.f64 2)) 3) 1/3)
(/.f64 B (sqrt.f64 2))
(neg.f64 (/.f64 B (neg.f64 (sqrt.f64 2))))
(/.f64 B (sqrt.f64 2))
(sqrt.f64 (/.f64 (*.f64 B B) 2))
(sqrt.f64 (*.f64 (/.f64 B 2) B))
(sqrt.f64 (*.f64 B (/.f64 B 2)))
(log.f64 (exp.f64 (/.f64 B (sqrt.f64 2))))
(/.f64 B (sqrt.f64 2))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 B (sqrt.f64 2)))))
(/.f64 B (sqrt.f64 2))
(cbrt.f64 (pow.f64 (/.f64 B (sqrt.f64 2)) 3))
(/.f64 B (sqrt.f64 2))
(expm1.f64 (log1p.f64 (/.f64 B (sqrt.f64 2))))
(/.f64 B (sqrt.f64 2))
(exp.f64 (log.f64 (/.f64 B (sqrt.f64 2))))
(/.f64 B (sqrt.f64 2))
(exp.f64 (*.f64 (log.f64 (/.f64 B (sqrt.f64 2))) 1))
(/.f64 B (sqrt.f64 2))
(log1p.f64 (expm1.f64 (/.f64 B (sqrt.f64 2))))
(/.f64 B (sqrt.f64 2))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 2) B))) 1)
(/.f64 (sqrt.f64 2) B)
(*.f64 (sqrt.f64 2) (/.f64 1 B))
(/.f64 (sqrt.f64 2) B)
(*.f64 (/.f64 (sqrt.f64 2) B) 1)
(/.f64 (sqrt.f64 2) B)
(*.f64 1 (/.f64 (sqrt.f64 2) B))
(/.f64 (sqrt.f64 2) B)
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) B)) (sqrt.f64 (/.f64 (sqrt.f64 2) B)))
(/.f64 (sqrt.f64 2) B)
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) B)) (pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) B)) 2))
(/.f64 (sqrt.f64 2) B)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) B)) 2) (cbrt.f64 (/.f64 (sqrt.f64 2) B)))
(/.f64 (sqrt.f64 2) B)
(*.f64 (/.f64 1 B) (sqrt.f64 2))
(/.f64 (sqrt.f64 2) B)
(*.f64 (/.f64 1 (neg.f64 B)) (neg.f64 (sqrt.f64 2)))
(/.f64 (sqrt.f64 2) B)
(*.f64 (/.f64 1 (sqrt.f64 B)) (/.f64 (sqrt.f64 2) (sqrt.f64 B)))
(/.f64 (sqrt.f64 2) B)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 B) 2)) (/.f64 (sqrt.f64 2) (cbrt.f64 B)))
(/.f64 (sqrt.f64 2) B)
(*.f64 (/.f64 (pow.f64 2 1/4) 1) (/.f64 (pow.f64 2 1/4) B))
(/.f64 (sqrt.f64 2) B)
(*.f64 (/.f64 (pow.f64 2 1/4) (sqrt.f64 B)) (/.f64 (pow.f64 2 1/4) (sqrt.f64 B)))
(/.f64 (sqrt.f64 2) B)
(*.f64 (/.f64 (pow.f64 2 1/4) (pow.f64 (cbrt.f64 B) 2)) (/.f64 (pow.f64 2 1/4) (cbrt.f64 B)))
(/.f64 (sqrt.f64 2) B)
(*.f64 (/.f64 (cbrt.f64 2) 1) (/.f64 (cbrt.f64 (sqrt.f64 2)) B))
(/.f64 (*.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2))) B)
(*.f64 (cbrt.f64 (sqrt.f64 2)) (/.f64 (cbrt.f64 2) B))
(*.f64 (/.f64 (cbrt.f64 2) (sqrt.f64 B)) (/.f64 (cbrt.f64 (sqrt.f64 2)) (sqrt.f64 B)))
(/.f64 (*.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2))) B)
(*.f64 (cbrt.f64 (sqrt.f64 2)) (/.f64 (cbrt.f64 2) B))
(*.f64 (/.f64 (cbrt.f64 2) (pow.f64 (cbrt.f64 B) 2)) (/.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 B)))
(/.f64 (*.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2))) B)
(*.f64 (cbrt.f64 (sqrt.f64 2)) (/.f64 (cbrt.f64 2) B))
(*.f64 (pow.f64 B -1) (pow.f64 (pow.f64 2 -1/2) -1))
(*.f64 (pow.f64 B -1) (/.f64 1 (pow.f64 2 -1/2)))
(*.f64 (/.f64 1 B) (/.f64 1 (pow.f64 2 -1/2)))
(/.f64 1 (*.f64 B (pow.f64 2 -1/2)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 B (sqrt.f64 2))) -1) (pow.f64 (sqrt.f64 (/.f64 B (sqrt.f64 2))) -1))
(/.f64 (sqrt.f64 2) B)
(.f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 B B) 2)) -1) (pow.f64 (cbrt.f64 (/.f64 B (sqrt.f64 2))) -1))
(.f64 (/.f64 1 (cbrt.f64 (/.f64 (.f64 B B) 2))) (/.f64 1 (cbrt.f64 (/.f64 B (sqrt.f64 2)))))
(.f64 (/.f64 1 (cbrt.f64 (.f64 (/.f64 B 2) B))) (/.f64 1 (cbrt.f64 (/.f64 B (sqrt.f64 2)))))
(/.f64 1 (.f64 (cbrt.f64 (/.f64 B (sqrt.f64 2))) (cbrt.f64 (.f64 B (/.f64 B 2)))))
(/.f64 (sqrt.f64 2) B)
(/.f64 -1 (neg.f64 (/.f64 B (sqrt.f64 2))))
(/.f64 (sqrt.f64 2) B)
(/.f64 1 (/.f64 B (sqrt.f64 2)))
(/.f64 (sqrt.f64 2) B)
(/.f64 1 (/.f64 (/.f64 B (sqrt.f64 2)) 1))
(/.f64 (sqrt.f64 2) B)
(/.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) B)) (sqrt.f64 (/.f64 B (sqrt.f64 2))))
(/.f64 (pow.f64 2 1/4) (/.f64 B (pow.f64 2 1/4)))
(/.f64 (sqrt.f64 2) B)
(/.f64 (cbrt.f64 2) (/.f64 B (cbrt.f64 (sqrt.f64 2))))
(/.f64 (*.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2))) B)
(*.f64 (cbrt.f64 (sqrt.f64 2)) (/.f64 (cbrt.f64 2) B))
(/.f64 (neg.f64 (sqrt.f64 2)) (neg.f64 B))
(/.f64 (sqrt.f64 2) B)
(/.f64 (/.f64 1 B) (pow.f64 2 -1/2))
(*.f64 (pow.f64 B -1) (/.f64 1 (pow.f64 2 -1/2)))
(*.f64 (/.f64 1 B) (/.f64 1 (pow.f64 2 -1/2)))
(/.f64 1 (*.f64 B (pow.f64 2 -1/2)))
(/.f64 (/.f64 1 (cbrt.f64 (/.f64 (*.f64 B B) 2))) (cbrt.f64 (/.f64 B (sqrt.f64 2))))
(.f64 (/.f64 1 (cbrt.f64 (/.f64 (.f64 B B) 2))) (/.f64 1 (cbrt.f64 (/.f64 B (sqrt.f64 2)))))
(.f64 (/.f64 1 (cbrt.f64 (.f64 (/.f64 B 2) B))) (/.f64 1 (cbrt.f64 (/.f64 B (sqrt.f64 2)))))
(/.f64 1 (.f64 (cbrt.f64 (/.f64 B (sqrt.f64 2))) (cbrt.f64 (.f64 B (/.f64 B 2)))))
(/.f64 (/.f64 (sqrt.f64 2) 1) B)
(/.f64 (sqrt.f64 2) B)
(/.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 B)) (sqrt.f64 B))
(/.f64 (sqrt.f64 2) B)
(/.f64 (/.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 B) 2)) (cbrt.f64 B))
(/.f64 (sqrt.f64 2) B)
(sqrt.f64 (pow.f64 (/.f64 B (sqrt.f64 2)) -2))
(/.f64 (sqrt.f64 2) B)
(log.f64 (exp.f64 (/.f64 (sqrt.f64 2) B)))
(/.f64 (sqrt.f64 2) B)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 2) B))))
(/.f64 (sqrt.f64 2) B)
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 2) B) 3))
(/.f64 (sqrt.f64 2) B)
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 2) B)))
(/.f64 (sqrt.f64 2) B)
(exp.f64 (log.f64 (/.f64 (sqrt.f64 2) B)))
(/.f64 (sqrt.f64 2) B)
(exp.f64 (-.f64 (log.f64 (sqrt.f64 2)) (log.f64 B)))
(/.f64 (sqrt.f64 2) B)
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 2) B)) 1))
(/.f64 (sqrt.f64 2) B)
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 2) B)))
(/.f64 (sqrt.f64 2) B)

eval620.0ms (1.3%)

Compiler: Compiled 46041 to 24095 computations (47.7% saved)

prune439.0ms (0.9%)

Pruning

127 alts after pruning (124 fresh and 3 done)

	Pruned	Kept	Total
New	1060	33	1093
Fresh	14	91	105
Picked	1	0	1
Done	2	3	5
Total	1077	127	1204

Error

14.4b

Counts

1204 → 127

Alt Table

Click to see full alt table

Status	Error	Program
	63.3b	(pow.f64 (pow.f64 (/.f64 F A) 3/2) 1/3)
	62.8b	(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 (.f64 C F) 2)) B)) 3)
	63.3b	(pow.f64 (cbrt.f64 (/.f64 F A)) 3/2)
	62.8b	(/.f64 (pow.f64 (.f64 C F) 1/4) (/.f64 (/.f64 B (sqrt.f64 2)) (pow.f64 (.f64 C F) 1/4)))
	62.8b	(/.f64 (/.f64 (sqrt.f64 (*.f64 C F)) B) (/.f64 1 (sqrt.f64 2)))
	50.3b	(/.f64 (.f64 (sqrt.f64 (.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))) (neg.f64 (sqrt.f64 2))) B)
	62.8b	(/.f64 (.f64 (sqrt.f64 (.f64 C F)) (pow.f64 2 1/2)) B)
	56.6b	(/.f64 (sqrt.f64 (.f64 F (+.f64 C (-.f64 A (hypot.f64 B (-.f64 A C)))))) (/.f64 (hypot.f64 B (sqrt.f64 (.f64 A (.f64 C -4)))) (.f64 (/.f64 B (hypot.f64 B (sqrt.f64 (.f64 A (.f64 C -4))))) (sqrt.f64 2))))
	62.8b	(/.f64 (sqrt.f64 (.f64 C (.f64 F 2))) B)
	62.8b	(/.f64 (sqrt.f64 (*.f64 C F)) (/.f64 B (sqrt.f64 2)))
	56.7b	(/.f64 (sqrt.f64 (.f64 2 (.f64 F (+.f64 C (-.f64 A (hypot.f64 B (-.f64 A C))))))) (/.f64 (hypot.f64 B (sqrt.f64 (.f64 A (.f64 C -4)))) (/.f64 B (hypot.f64 B (sqrt.f64 (.f64 A (.f64 C -4)))))))
	58.6b	(/.f64 (sqrt.f64 (neg.f64 F)) (sqrt.f64 A))
	62.8b	(/.f64 (sqrt.f64 2) (/.f64 B (sqrt.f64 (*.f64 C F))))
	57.8b	(/.f64 (neg.f64 (.f64 (pow.f64 (pow.f64 (.f64 F (-.f64 A (hypot.f64 B A))) 3/2) 1/3) (.f64 B (sqrt.f64 2)))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
	62.9b	(/.f64 (neg.f64 (.f64 (.f64 B (sqrt.f64 2)) (neg.f64 (sqrt.f64 (.f64 C F))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
	61.8b	(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))) (sqrt.f64 (.f64 2 F)))) (fma.f64 B B (.f64 A (*.f64 C -4))))
	58.5b	(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (-.f64 C (neg.f64 C)))) (sqrt.f64 (.f64 2 (fma.f64 B B (.f64 A (.f64 C -4))))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
	57.0b	(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (-.f64 A (fma.f64 1/2 (/.f64 (.f64 A A) B) B)))) (.f64 B (sqrt.f64 2)))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
	61.9b	(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (-.f64 A (neg.f64 A)))) (.f64 B (sqrt.f64 2)))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
	56.7b	(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (-.f64 A B))) (.f64 B (sqrt.f64 2)))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
	61.7b	(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (-.f64 A A))) (.f64 B (sqrt.f64 2)))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
	62.8b	(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))) (.f64 (sqrt.f64 2) B))) (.f64 A (*.f64 C -4)))
	57.5b	(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (+.f64 A (+.f64 A (/.f64 -1/2 (/.f64 C (+.f64 (.f64 B B) (-.f64 (.f64 A A) (pow.f64 (neg.f64 A) 2))))))))) (sqrt.f64 (.f64 2 (fma.f64 B B (.f64 A (.f64 C -4))))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
	57.6b	(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (+.f64 A B))) (sqrt.f64 (.f64 2 (fma.f64 B B (.f64 A (.f64 C -4))))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
	57.1b	(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (+.f64 A A))) (sqrt.f64 (.f64 2 (fma.f64 B B (.f64 A (.f64 C -4))))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
	61.2b	(/.f64 (neg.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 C (.f64 A 4))) F) (+.f64 (+.f64 A (-.f64 C A)) (+.f64 C (.f64 -1/2 (/.f64 (fma.f64 B B (-.f64 (.f64 C C) (pow.f64 (neg.f64 C) 2))) A)))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
	60.4b	(/.f64 (neg.f64 (sqrt.f64 (fma.f64 -16 (.f64 A (.f64 F (.f64 C C))) (.f64 (.f64 2 F) (.f64 (.f64 B B) (.f64 2 (+.f64 (/.f64 (.f64 A C) (-.f64 A C)) C))))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
	58.3b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (+.f64 A (+.f64 A (.f64 1/2 (/.f64 (.f64 B B) A)))) (.f64 2 F))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
	57.0b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (+.f64 A (+.f64 A (.f64 -1/2 (/.f64 (+.f64 (.f64 B B) (-.f64 (.f64 A A) (pow.f64 (neg.f64 A) 2))) C)))) (.f64 2 F))))) (fma.f64 B B (.f64 A (.f64 C -4))))
	57.1b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (+.f64 A A) (.f64 2 F))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
	63.5b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (neg.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 2 F)))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
	61.3b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (+.f64 (.f64 1/2 (/.f64 B (/.f64 C B))) (+.f64 (+.f64 A C) (-.f64 C A)))) (.f64 2 F)))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
	59.4b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 -2 F) (pow.f64 B 3)))) (fma.f64 B B (.f64 A (.f64 C -4))))
	59.0b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 -8 A) (.f64 (.f64 F C) (-.f64 C (neg.f64 C)))))) (fma.f64 B B (.f64 A (.f64 C -4))))
	58.9b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 -8 A) (.f64 (.f64 F C) (-.f64 A (neg.f64 A)))))) (fma.f64 B B (.f64 A (.f64 C -4))))
	59.5b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 -16 (.f64 A A)) (.f64 F C)))) (fma.f64 B B (.f64 A (.f64 C -4))))
	60.4b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 -16 A) (.f64 F (.f64 C C))))) (fma.f64 B B (.f64 A (.f64 C -4))))
	57.3b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) (.f64 F (.f64 2 C)))))) (fma.f64 B B (.f64 A (.f64 -4 C))))
	59.0b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) (.f64 F (neg.f64 B)))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
	59.1b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) (.f64 F B))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
	61.2b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 C (.f64 A 4))) F) (+.f64 (+.f64 A (-.f64 C A)) (+.f64 C (.f64 -1/2 (/.f64 (fma.f64 B B (-.f64 (.f64 C C) (pow.f64 (neg.f64 C) 2))) A)))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
	61.1b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (+.f64 (-.f64 A C) (.f64 1/2 (/.f64 (.f64 B B) A))))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
	58.9b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (+.f64 (.f64 1/2 (/.f64 (.f64 C C) B)) B))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
	59.6b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B)) (.f64 -1 B)))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
	60.0b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (+.f64 C (fma.f64 -1/2 (/.f64 (.f64 B B) A) (neg.f64 A))))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
	59.8b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (neg.f64 C))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
	58.3b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (neg.f64 B))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
	59.8b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (neg.f64 A))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
	62.2b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C C)))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
	58.3b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C B)))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
	62.3b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 B (.f64 B F)) (+.f64 A (-.f64 C (+.f64 (-.f64 A C) (.f64 -1/2 (/.f64 (.f64 B B) C))))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
	62.5b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 B (.f64 B F)) (+.f64 A (-.f64 C A)))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
	60.9b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 -4 (.f64 (.f64 A C) F)) (+.f64 A (-.f64 C (+.f64 (-.f64 A C) (.f64 -1/2 (/.f64 (.f64 B B) C))))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
	62.1b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 -4 (.f64 (.f64 A C) F)) (+.f64 A (-.f64 C A)))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
	54.2b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 F (-.f64 (+.f64 C A) (hypot.f64 B (-.f64 A C))))))) (/.f64 (fma.f64 B B (.f64 A (.f64 C -4))) B))
	61.4b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 F (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (+.f64 A (+.f64 (+.f64 C (-.f64 C A)) (.f64 1/2 (/.f64 B (/.f64 C B)))))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
	62.8b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 F (.f64 C (.f64 B B)))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
	62.7b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 C (.f64 F (.f64 B B)))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
	62.0b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 A (.f64 -4 (.f64 C (.f64 C F))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
	57.6b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 -4 (.f64 (.f64 A C) (.f64 F (-.f64 C (neg.f64 C)))))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
	62.3b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 -4 (.f64 A (.f64 (.f64 C C) F)))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
	61.7b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (fabs.f64 (.f64 F (.f64 C (fma.f64 B B (.f64 -4 (.f64 A C))))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
	62.8b	(/.f64 (cbrt.f64 (.f64 C F)) (/.f64 (/.f64 B (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 (.f64 C F)))))
	62.8b	(/.f64 1 (/.f64 B (sqrt.f64 (.f64 (.f64 C F) 2))))
	63.5b	(/.f64 1 (sqrt.f64 (/.f64 A F)))
	63.2b	(-.f64 (+.f64 1 (sqrt.f64 (/.f64 F A))) 1)
	50.3b	(.f64 (pow.f64 (pow.f64 (.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))) 1/4) 2) (/.f64 (neg.f64 (sqrt.f64 2)) B))
	56.9b	(.f64 (/.f64 (sqrt.f64 (.f64 F (-.f64 A (hypot.f64 B A)))) (/.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) (*.f64 B (sqrt.f64 2)))) 1)
	56.9b	(.f64 (/.f64 (sqrt.f64 (.f64 2 (.f64 F (-.f64 (+.f64 C A) (hypot.f64 B (-.f64 A C)))))) (fma.f64 B B (.f64 A (*.f64 C -4)))) B)
	62.9b	(.f64 (/.f64 (sqrt.f64 2) B) (pow.f64 (pow.f64 (.f64 C F) 3/2) 1/3))
	57.8b	(.f64 (/.f64 (sqrt.f64 2) B) (sqrt.f64 (.f64 F (-.f64 A (sqrt.f64 (+.f64 (.f64 A A) (.f64 B B)))))))
✓	62.8b	(.f64 (/.f64 (sqrt.f64 2) B) (sqrt.f64 (.f64 C F)))
	53.3b	(.f64 (/.f64 (sqrt.f64 2) B) (neg.f64 (sqrt.f64 (.f64 F (-.f64 C (fma.f64 1/2 (*.f64 (/.f64 C B) C) B))))))
	50.9b	(.f64 (/.f64 (sqrt.f64 2) B) (neg.f64 (sqrt.f64 (.f64 F (-.f64 A (hypot.f64 B A))))))
	62.7b	(.f64 (/.f64 (sqrt.f64 2) B) (neg.f64 (sqrt.f64 (.f64 C F))))
	56.7b	(.f64 (/.f64 1 (hypot.f64 B (sqrt.f64 (.f64 A (.f64 C -4))))) (/.f64 B (/.f64 (hypot.f64 B (sqrt.f64 (.f64 A (.f64 C -4)))) (sqrt.f64 (.f64 2 (*.f64 F (-.f64 (+.f64 C A) (hypot.f64 B (-.f64 A C)))))))))
	63.5b	(.f64 (+.f64 (sqrt.f64 (.f64 F (-.f64 A (neg.f64 A)))) (.f64 (.f64 -1/4 (sqrt.f64 (/.f64 F (-.f64 A (neg.f64 A))))) (/.f64 (+.f64 (.f64 B B) (-.f64 (.f64 A A) (pow.f64 (neg.f64 A) 2))) C))) (/.f64 (neg.f64 (sqrt.f64 2)) B))
	62.8b	(.f64 (.f64 (/.f64 1 B) (sqrt.f64 2)) (sqrt.f64 (*.f64 C F)))
	62.5b	(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 1/2)) (neg.f64 (sqrt.f64 (/.f64 F C))))
	54.4b	(.f64 (.f64 B (sqrt.f64 (.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))) 2))) (/.f64 1 (neg.f64 (fma.f64 B B (.f64 A (.f64 C -4))))))
	57.1b	(.f64 (.f64 B (sqrt.f64 2)) (/.f64 (sqrt.f64 (.f64 F (-.f64 A (hypot.f64 B A)))) (fma.f64 B B (.f64 A (*.f64 C -4)))))
	63.2b	(.f64 (.f64 1/4 (/.f64 (pow.f64 (sqrt.f64 2) 2) (/.f64 A B))) (sqrt.f64 (/.f64 F C)))
	62.6b	(.f64 (sqrt.f64 (.f64 (.f64 A A) (.f64 (/.f64 F B) -1/2))) (neg.f64 (pow.f64 (/.f64 B (sqrt.f64 2)) -1)))
	62.4b	(.f64 (sqrt.f64 (.f64 F (fma.f64 -1/2 (/.f64 (.f64 B B) (-.f64 A C)) (.f64 2 C)))) (/.f64 (neg.f64 (sqrt.f64 2)) B))
	57.8b	(.f64 (sqrt.f64 (.f64 F (fma.f64 -1/2 (/.f64 (.f64 B B) (-.f64 A C)) (.f64 2 C)))) (.f64 (neg.f64 (sqrt.f64 (.f64 2 (fma.f64 B B (.f64 A (.f64 C -4)))))) (/.f64 1 (fma.f64 B B (.f64 A (.f64 C -4))))))
	52.8b	(.f64 (sqrt.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))) (/.f64 (sqrt.f64 2) B))
	50.1b	(.f64 (sqrt.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))) (*.f64 (neg.f64 (sqrt.f64 2)) (/.f64 1 B)))
	58.1b	(.f64 (sqrt.f64 (.f64 F (-.f64 C (sqrt.f64 (+.f64 (.f64 B B) (.f64 C C)))))) (/.f64 (sqrt.f64 2) B))
	53.3b	(.f64 (sqrt.f64 (.f64 F (-.f64 A (fma.f64 1/2 (*.f64 (/.f64 A B) A) B)))) (neg.f64 (/.f64 (/.f64 1 B) (pow.f64 2 -1/2))))
	53.3b	(.f64 (sqrt.f64 (.f64 F (-.f64 A (fma.f64 1/2 (.f64 (/.f64 A B) A) B)))) (neg.f64 (/.f64 1 (.f64 B (pow.f64 2 -1/2)))))
	57.1b	(.f64 (sqrt.f64 (.f64 F (-.f64 A (fma.f64 1/2 (*.f64 (/.f64 A B) A) B)))) (neg.f64 (sqrt.f64 (/.f64 (/.f64 2 B) B))))
	63.2b	(.f64 (sqrt.f64 (.f64 F (-.f64 A (fma.f64 1/2 (*.f64 (/.f64 A B) A) B)))) (neg.f64 (log.f64 (exp.f64 (/.f64 (sqrt.f64 2) B)))))
	54.2b	(.f64 (sqrt.f64 (.f64 F (-.f64 A (fma.f64 1/2 (*.f64 (/.f64 A B) A) B)))) (neg.f64 (exp.f64 (-.f64 (log.f64 (sqrt.f64 2)) (log.f64 B)))))
	55.2b	(.f64 (sqrt.f64 (.f64 F (-.f64 A (-.f64 (+.f64 (.f64 1/2 (.f64 A (/.f64 A B))) (exp.f64 (log1p.f64 B))) 1)))) (neg.f64 (/.f64 (sqrt.f64 2) B)))
	53.3b	(.f64 (sqrt.f64 (.f64 F (-.f64 A (+.f64 (.f64 1/2 (.f64 A (/.f64 A B))) B)))) (neg.f64 (/.f64 (sqrt.f64 2) B)))
	62.9b	(.f64 (sqrt.f64 (.f64 F (-.f64 A (.f64 (/.f64 A B) (.f64 1/2 A))))) (neg.f64 (/.f64 (sqrt.f64 2) B)))
	63.1b	(.f64 (sqrt.f64 (.f64 F (-.f64 A (sqrt.f64 (+.f64 (.f64 A A) (.f64 B B)))))) (.f64 1/4 (.f64 (/.f64 (sqrt.f64 2) (*.f64 A C)) B)))
	53.0b	(.f64 (sqrt.f64 (.f64 F (-.f64 A B))) (neg.f64 (/.f64 (sqrt.f64 2) B)))
	53.1b	(.f64 (sqrt.f64 (.f64 F (+.f64 (+.f64 A C) (neg.f64 B)))) (/.f64 (neg.f64 (sqrt.f64 2)) B))
	62.3b	(.f64 (sqrt.f64 (.f64 F (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 A A) (-.f64 (*.f64 B B) (pow.f64 (neg.f64 A) 2))) C)) (-.f64 A (neg.f64 A))))) (/.f64 (neg.f64 (sqrt.f64 2)) B))
	62.1b	(.f64 (sqrt.f64 (.f64 F (+.f64 C C))) (/.f64 (neg.f64 (sqrt.f64 2)) B))
	58.5b	(.f64 (sqrt.f64 (.f64 F (+.f64 C C))) (.f64 (neg.f64 (sqrt.f64 (.f64 2 (fma.f64 B B (.f64 A (.f64 C -4)))))) (/.f64 1 (fma.f64 B B (.f64 A (.f64 C -4))))))
	61.6b	(.f64 (sqrt.f64 (.f64 F (+.f64 A A))) (/.f64 (neg.f64 (sqrt.f64 2)) B))
	57.1b	(.f64 (sqrt.f64 (.f64 F (+.f64 A A))) (.f64 (neg.f64 (sqrt.f64 (.f64 2 (fma.f64 B B (.f64 A (.f64 C -4)))))) (/.f64 1 (fma.f64 B B (.f64 A (.f64 C -4))))))
	52.8b	(.f64 (sqrt.f64 (.f64 F (neg.f64 B))) (/.f64 (neg.f64 (sqrt.f64 2)) B))
	52.8b	(.f64 (sqrt.f64 (.f64 F (neg.f64 B))) (neg.f64 (pow.f64 (/.f64 B (sqrt.f64 2)) -1)))
	58.3b	(.f64 (sqrt.f64 (.f64 F B)) (.f64 (neg.f64 (sqrt.f64 (.f64 2 (fma.f64 B B (.f64 A (.f64 C -4)))))) (/.f64 1 (fma.f64 B B (.f64 A (.f64 C -4))))))
	62.1b	(.f64 (sqrt.f64 (.f64 C F)) (/.f64 -2 B))
	56.9b	(.f64 (sqrt.f64 (.f64 2 (.f64 F (+.f64 C (-.f64 A (hypot.f64 B (-.f64 A C))))))) (/.f64 B (fma.f64 B B (.f64 A (*.f64 C -4)))))
	62.6b	(.f64 (sqrt.f64 (.f64 -1/2 (/.f64 (*.f64 A A) (/.f64 B F)))) (neg.f64 (/.f64 (sqrt.f64 2) B)))
	62.4b	(.f64 (sqrt.f64 (.f64 -1/2 (.f64 (.f64 A (/.f64 A B)) F))) (neg.f64 (/.f64 (sqrt.f64 2) B)))
	53.9b	(.f64 (exp.f64 (.f64 (log.f64 (.f64 F (-.f64 A (fma.f64 1/2 (.f64 A (/.f64 A B)) B)))) 1/2)) (neg.f64 (/.f64 (sqrt.f64 2) B)))
	53.4b	(.f64 (cbrt.f64 (pow.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))) 3/2)) (/.f64 (neg.f64 (sqrt.f64 2)) B))
	63.3b	(.f64 1/4 (.f64 (/.f64 (.f64 (sqrt.f64 2) B) (.f64 A C)) (sqrt.f64 (.f64 (-.f64 A (.f64 -1 A)) F))))
	63.2b	(.f64 1/4 (.f64 (.f64 (/.f64 (sqrt.f64 2) A) (/.f64 B C)) (sqrt.f64 (.f64 F (-.f64 A (neg.f64 A))))))
	62.8b	(sqrt.f64 (/.f64 (*.f64 -2 F) B))
✓	63.3b	(sqrt.f64 (/.f64 F A))
	62.9b	(sqrt.f64 (*.f64 (/.f64 2 B) (/.f64 C (/.f64 B F))))
	62.9b	(sqrt.f64 (*.f64 2 (/.f64 F B)))
	63.3b	(sqrt.f64 (.f64 2 (+.f64 (/.f64 F (/.f64 (.f64 B B) (+.f64 A C))) (/.f64 F B))))
	59.3b	(sqrt.f64 (.f64 -1/2 (/.f64 (-.f64 C (neg.f64 C)) (/.f64 (.f64 A C) F))))
	58.9b	(sqrt.f64 (.f64 -1/2 (/.f64 (-.f64 A (neg.f64 A)) (/.f64 (.f64 A C) F))))
	60.4b	(sqrt.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 A (.f64 -1 A)) F) (.f64 A C))))
	57.1b	(sqrt.f64 (neg.f64 (/.f64 F C)))
✓	56.5b	(sqrt.f64 (neg.f64 (/.f64 F A)))
	62.1b	(neg.f64 (.f64 (/.f64 (pow.f64 (sqrt.f64 2) 2) B) (sqrt.f64 (.f64 C F))))
	62.5b	(neg.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) (sqrt.f64 (/.f64 F C)))))

Compiler

Compiled 3303 to 2248 computations (31.9% saved)

regimes2.1s (4.2%)

Counts

204 → 6

Calls

Call 1

Inputs
(sqrt.f64 (/.f64 F A))
(sqrt.f64 (neg.f64 (/.f64 F A)))
(sqrt.f64 (neg.f64 (/.f64 F C)))
(sqrt.f64 (*.f64 2 (/.f64 F B)))
(sqrt.f64 (/.f64 (*.f64 -2 F) B))
(/.f64 1 (sqrt.f64 (/.f64 A F)))
(.f64 (sqrt.f64 (.f64 C F)) (/.f64 -2 B))
(-.f64 (+.f64 1 (sqrt.f64 (/.f64 F A))) 1)
(/.f64 (sqrt.f64 (.f64 C (.f64 F 2))) B)
(sqrt.f64 (*.f64 (/.f64 2 B) (/.f64 C (/.f64 B F))))
(/.f64 1 (/.f64 B (sqrt.f64 (.f64 (.f64 C F) 2))))
(sqrt.f64 (.f64 -1/2 (/.f64 (-.f64 A (neg.f64 A)) (/.f64 (.f64 A C) F))))
(sqrt.f64 (.f64 -1/2 (/.f64 (-.f64 C (neg.f64 C)) (/.f64 (.f64 A C) F))))
(sqrt.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 A (.f64 -1 A)) F) (.f64 A C))))
(sqrt.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 C (.f64 -1 C)) F) (.f64 A C))))
(sqrt.f64 (.f64 2 (+.f64 (/.f64 F (/.f64 (.f64 B B) (+.f64 A C))) (/.f64 F B))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 C (.f64 F (.f64 B B)))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 F (.f64 C (.f64 B B)))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 -4 (.f64 A (.f64 (.f64 C C) F)))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 A (.f64 -4 (.f64 C (.f64 C F))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 B (.f64 B F)) (+.f64 A (-.f64 C A)))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 -4 (.f64 (.f64 A C) F)) (+.f64 A (-.f64 C A)))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C A)))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C B)))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C C)))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (neg.f64 A))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (neg.f64 B))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (neg.f64 C))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 B (.f64 B F)) (+.f64 A (-.f64 C (+.f64 (-.f64 A C) (.f64 -1/2 (/.f64 (.f64 B B) C))))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 -4 (.f64 (.f64 A C) F)) (+.f64 A (-.f64 C (+.f64 (-.f64 A C) (.f64 -1/2 (/.f64 (.f64 B B) C))))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (+.f64 (.f64 1/2 (/.f64 (.f64 C C) B)) B))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (+.f64 (-.f64 A C) (.f64 -1/2 (/.f64 (.f64 B B) C))))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (+.f64 (-.f64 A C) (.f64 1/2 (/.f64 (.f64 B B) A))))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (sqrt.f64 (neg.f64 F)) (sqrt.f64 A))
(pow.f64 (cbrt.f64 (/.f64 F A)) 3/2)
(pow.f64 (pow.f64 (/.f64 F A) 3/2) 1/3)
(.f64 (/.f64 (sqrt.f64 2) B) (sqrt.f64 (.f64 C F)))
(/.f64 (sqrt.f64 2) (/.f64 B (sqrt.f64 (*.f64 C F))))
(/.f64 (sqrt.f64 (*.f64 C F)) (/.f64 B (sqrt.f64 2)))
(.f64 (/.f64 (sqrt.f64 2) B) (neg.f64 (sqrt.f64 (.f64 C F))))
(/.f64 (.f64 (sqrt.f64 (.f64 C F)) (pow.f64 2 1/2)) B)
(.f64 (sqrt.f64 (.f64 F (neg.f64 B))) (neg.f64 (/.f64 (sqrt.f64 2) B)))
(.f64 (sqrt.f64 (.f64 F (neg.f64 B))) (/.f64 (neg.f64 (sqrt.f64 2)) B))
(.f64 (.f64 (/.f64 1 B) (sqrt.f64 2)) (sqrt.f64 (*.f64 C F)))
(/.f64 (/.f64 (sqrt.f64 (*.f64 C F)) B) (/.f64 1 (sqrt.f64 2)))
(.f64 (sqrt.f64 (.f64 F (+.f64 A A))) (/.f64 (neg.f64 (sqrt.f64 2)) B))
(.f64 (sqrt.f64 (.f64 F (+.f64 C C))) (/.f64 (neg.f64 (sqrt.f64 2)) B))
(.f64 (sqrt.f64 (.f64 F (-.f64 A B))) (neg.f64 (/.f64 (sqrt.f64 2) B)))
(.f64 (sqrt.f64 (.f64 F (+.f64 (+.f64 A C) (neg.f64 B)))) (/.f64 (neg.f64 (sqrt.f64 2)) B))
(.f64 (sqrt.f64 (.f64 -1/2 (.f64 (.f64 A (/.f64 A B)) F))) (neg.f64 (/.f64 (sqrt.f64 2) B)))
(.f64 (sqrt.f64 (.f64 -1/2 (/.f64 (*.f64 A A) (/.f64 B F)))) (neg.f64 (/.f64 (sqrt.f64 2) B)))
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(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (+.f64 A (+.f64 A (/.f64 -1/2 (/.f64 C (+.f64 (.f64 B B) (-.f64 (.f64 A A) (pow.f64 (neg.f64 A) 2))))))))) (.f64 (sqrt.f64 2) B))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (+.f64 A (+.f64 (.f64 1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B)) (+.f64 C B))) (.f64 2 F))))) (fma.f64 B B (.f64 A (.f64 C -4))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (+.f64 A (+.f64 C (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B)) (.f64 -1 B)))) (.f64 2 F))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (+.f64 A (+.f64 A (.f64 -1/2 (/.f64 (+.f64 (.f64 B B) (-.f64 (.f64 A A) (pow.f64 (neg.f64 A) 2))) C)))) (.f64 2 F))))) (fma.f64 B B (.f64 A (.f64 C -4))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 C (.f64 A 4))) F) (+.f64 (+.f64 A (-.f64 C A)) (+.f64 C (.f64 -1/2 (/.f64 (fma.f64 B B (-.f64 (.f64 C C) (pow.f64 (neg.f64 C) 2))) A)))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(.f64 (sqrt.f64 (.f64 F (-.f64 A (fma.f64 1/2 (*.f64 (/.f64 A B) A) B)))) (neg.f64 (log.f64 (exp.f64 (/.f64 (sqrt.f64 2) B)))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (-.f64 A (expm1.f64 (log1p.f64 (hypot.f64 B A)))))) (.f64 B (sqrt.f64 2)))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (-.f64 A (pow.f64 (cbrt.f64 (hypot.f64 B A)) 3)))) (.f64 B (sqrt.f64 2)))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (.f64 (hypot.f64 B (sqrt.f64 (.f64 A (.f64 C -4)))) (sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 2 F))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
(sqrt.f64 (/.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 F))) (pow.f64 (fma.f64 B B (.f64 A (*.f64 C -4))) 2)))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))) (sqrt.f64 (.f64 2 (fma.f64 B B (.f64 A (.f64 C -4))))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) F))) (sqrt.f64 2))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))) (sqrt.f64 (.f64 2 F)))) (fma.f64 B B (.f64 A (*.f64 C -4))))
(.f64 (sqrt.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))) (.f64 (neg.f64 (sqrt.f64 (.f64 2 (fma.f64 B B (.f64 A (.f64 C -4)))))) (/.f64 1 (fma.f64 B B (.f64 A (.f64 C -4))))))
(.f64 (sqrt.f64 (.f64 F (fma.f64 -1/2 (/.f64 (.f64 B B) (-.f64 A C)) (.f64 2 C)))) (.f64 (neg.f64 (sqrt.f64 (.f64 2 (fma.f64 B B (.f64 A (.f64 C -4)))))) (/.f64 1 (fma.f64 B B (.f64 A (.f64 C -4))))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (pow.f64 (pow.f64 (fma.f64 B B (pow.f64 (-.f64 A C) 2)) 1/4) 2))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (+.f64 A (+.f64 A (/.f64 -1/2 (/.f64 C (+.f64 (.f64 B B) (-.f64 (.f64 A A) (pow.f64 (neg.f64 A) 2))))))))) (sqrt.f64 (.f64 2 (fma.f64 B B (.f64 A (.f64 C -4))))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
(/.f64 (neg.f64 (.f64 (+.f64 (sqrt.f64 (.f64 F (-.f64 A (neg.f64 A)))) (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 F (-.f64 A (neg.f64 A)))) (/.f64 (-.f64 (+.f64 (.f64 B B) (.f64 A A)) (pow.f64 (neg.f64 A) 2)) C)))) (.f64 (sqrt.f64 2) B))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (+.f64 (.f64 F (pow.f64 B 3)) (+.f64 (.f64 F (.f64 (+.f64 A C) (pow.f64 B 2))) (.f64 -1 (.f64 (+.f64 (.f64 4 (.f64 A (.f64 C F))) (.f64 -1/2 (.f64 (pow.f64 (-.f64 A C) 2) F))) B))))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (+.f64 A (+.f64 (.f64 (.f64 A C) (sqrt.f64 (/.f64 1 (+.f64 (.f64 B B) (.f64 C C))))) (-.f64 C (sqrt.f64 (+.f64 (.f64 B B) (.f64 C C)))))) (.f64 2 F))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
(.f64 (sqrt.f64 (.f64 F (-.f64 A (fma.f64 1/2 (*.f64 (/.f64 A B) A) B)))) (neg.f64 (exp.f64 (-.f64 (log.f64 (sqrt.f64 2)) (log.f64 B)))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (-.f64 A (sqrt.f64 (+.f64 (.f64 B B) (.f64 A A)))))) (.f64 B (sqrt.f64 2)))) (expm1.f64 (log1p.f64 (fma.f64 B B (.f64 (*.f64 A C) -4)))))
(/.f64 (sqrt.f64 (.f64 2 (.f64 F (+.f64 C (-.f64 A (hypot.f64 B (-.f64 A C))))))) (/.f64 (hypot.f64 B (sqrt.f64 (.f64 A (.f64 C -4)))) (/.f64 B (hypot.f64 B (sqrt.f64 (.f64 A (.f64 C -4)))))))
(pow.f64 (/.f64 (pow.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 F))) 1/4) (hypot.f64 B (sqrt.f64 (.f64 A (*.f64 C -4))))) 2)
(.f64 (/.f64 1 (hypot.f64 B (sqrt.f64 (.f64 A (.f64 C -4))))) (/.f64 B (/.f64 (hypot.f64 B (sqrt.f64 (.f64 A (.f64 C -4)))) (sqrt.f64 (.f64 2 (*.f64 F (-.f64 (+.f64 C A) (hypot.f64 B (-.f64 A C)))))))))
(.f64 (/.f64 B (/.f64 (hypot.f64 B (sqrt.f64 (.f64 A (.f64 C -4)))) (sqrt.f64 (.f64 2 (.f64 F (-.f64 (+.f64 C A) (hypot.f64 B (-.f64 A C)))))))) (/.f64 -1 (hypot.f64 B (sqrt.f64 (.f64 A (*.f64 C -4))))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 (-.f64 (pow.f64 B 2) (.f64 (.f64 4 A) C)) F)) (-.f64 (+.f64 A C) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2))))))) (-.f64 (pow.f64 B 2) (.f64 (*.f64 4 A) C)))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (-.f64 A (sqrt.f64 (+.f64 (.f64 B B) (.f64 A A)))))) (.f64 B (sqrt.f64 2)))) (/.f64 1 (/.f64 (fma.f64 B B (.f64 A (.f64 C 4))) (-.f64 (pow.f64 B 4) (.f64 (pow.f64 (*.f64 A C) 2) 16)))))
(/.f64 (neg.f64 (.f64 (+.f64 (sqrt.f64 (.f64 F (-.f64 A (neg.f64 A)))) (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 F (-.f64 A (neg.f64 A)))) (/.f64 (-.f64 (+.f64 (.f64 B B) (.f64 A A)) (pow.f64 (neg.f64 A) 2)) C)))) (sqrt.f64 (.f64 2 (fma.f64 B B (.f64 A (.f64 C -4))))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
(.f64 (/.f64 -1 (sqrt.f64 (fma.f64 B B (.f64 (.f64 A C) -4)))) (/.f64 (.f64 B (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 F (-.f64 A (hypot.f64 B A)))))) (sqrt.f64 (fma.f64 B B (.f64 (.f64 A C) -4)))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (log.f64 (pow.f64 (exp.f64 (fma.f64 B B (.f64 A (.f64 -4 C)))) (.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))))))) (fma.f64 B B (.f64 A (.f64 -4 C))))
(/.f64 (sqrt.f64 (.f64 F (+.f64 C (-.f64 A (hypot.f64 B (-.f64 A C)))))) (/.f64 (hypot.f64 B (sqrt.f64 (.f64 A (.f64 C -4)))) (.f64 (/.f64 B (hypot.f64 B (sqrt.f64 (.f64 A (.f64 C -4))))) (sqrt.f64 2))))
(/.f64 (/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 2 F))))) (hypot.f64 B (sqrt.f64 (.f64 A (.f64 C -4))))) (hypot.f64 B (sqrt.f64 (.f64 A (*.f64 C -4)))))
(.f64 (/.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 2 F)))) (cbrt.f64 (fma.f64 B B (.f64 A (.f64 C -4))))) (/.f64 -1 (pow.f64 (cbrt.f64 (fma.f64 B B (.f64 A (.f64 C -4)))) 2)))
(/.f64 (neg.f64 (sqrt.f64 (log.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 F) 2) (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))) (fma.f64 B B (.f64 A (.f64 C -4))))))) (fma.f64 B B (.f64 A (.f64 C -4))))
(sqrt.f64 (fma.f64 -1/4 (.f64 (/.f64 F (.f64 A A)) (/.f64 (.f64 B B) C)) (fma.f64 2 (/.f64 (-.f64 (/.f64 (.f64 -1/8 (.f64 F (.f64 B B))) A) (/.f64 (.f64 1/32 (.f64 F (pow.f64 B 4))) (pow.f64 A 3))) (.f64 C C)) (fma.f64 -2 (/.f64 (-.f64 (.f64 1/8 (.f64 F (.f64 B B))) (/.f64 (.f64 1/4 (.f64 (.f64 B B) (-.f64 (/.f64 (.f64 -1/8 (.f64 F (.f64 B B))) A) (/.f64 (.f64 1/32 (.f64 F (pow.f64 B 4))) (pow.f64 A 3))))) A)) (pow.f64 C 3)) (neg.f64 (/.f64 F A))))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (fma.f64 2 (.f64 (.f64 F C) (+.f64 (.f64 B B) (-.f64 (.f64 C C) (pow.f64 (neg.f64 C) 2)))) (fma.f64 (-.f64 C (neg.f64 C)) (.f64 F (.f64 B B)) (fma.f64 2 (/.f64 (+.f64 (.f64 B B) (-.f64 (.f64 C C) (pow.f64 (neg.f64 C) 2))) (/.f64 A (.f64 F (.f64 C C)))) (fma.f64 -4 (.f64 (.f64 A C) (.f64 F (-.f64 C (neg.f64 C)))) (.f64 -1/2 (/.f64 (+.f64 (.f64 B B) (-.f64 (.f64 C C) (pow.f64 (neg.f64 C) 2))) (/.f64 A (.f64 F (.f64 B B)))))))))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
(fma.f64 -1 (.f64 (/.f64 (sqrt.f64 2) B) (sqrt.f64 (.f64 F (-.f64 A (sqrt.f64 (+.f64 (.f64 B B) (.f64 A A))))))) (.f64 (.f64 -1/2 (sqrt.f64 (/.f64 (/.f64 1 F) (-.f64 A (sqrt.f64 (+.f64 (.f64 B B) (.f64 A A))))))) (.f64 (.f64 (sqrt.f64 2) C) (.f64 B (+.f64 (/.f64 (-.f64 1 (.f64 (neg.f64 A) (sqrt.f64 (/.f64 1 (+.f64 (.f64 B B) (.f64 A A)))))) (/.f64 B (/.f64 F B))) (/.f64 (.f64 4 A) (/.f64 (/.f64 (pow.f64 B 4) F) (-.f64 A (sqrt.f64 (+.f64 (.f64 B B) (*.f64 A A)))))))))))
(/.f64 (neg.f64 (fma.f64 (sqrt.f64 (.f64 F (-.f64 A (sqrt.f64 (+.f64 (.f64 B B) (.f64 A A)))))) (.f64 B (sqrt.f64 2)) (.f64 1/2 (/.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 F (-.f64 A (sqrt.f64 (+.f64 (.f64 B B) (.f64 A A))))))) (sqrt.f64 2)) (/.f64 (/.f64 B C) (fma.f64 F (.f64 (.f64 B B) (-.f64 1 (.f64 (neg.f64 A) (sqrt.f64 (/.f64 1 (+.f64 (.f64 B B) (.f64 A A))))))) (.f64 -4 (.f64 (-.f64 A (sqrt.f64 (+.f64 (.f64 B B) (.f64 A A)))) (.f64 A F))))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (fma.f64 (sqrt.f64 (.f64 F (-.f64 C (sqrt.f64 (+.f64 (.f64 B B) (.f64 C C)))))) (.f64 B (sqrt.f64 2)) (.f64 1/2 (/.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 F (-.f64 C (sqrt.f64 (+.f64 (.f64 B B) (.f64 C C))))))) A) (/.f64 (/.f64 B (sqrt.f64 2)) (fma.f64 F (.f64 (.f64 B B) (-.f64 1 (.f64 (neg.f64 C) (sqrt.f64 (/.f64 1 (+.f64 (.f64 B B) (.f64 C C))))))) (.f64 -4 (.f64 (-.f64 C (sqrt.f64 (+.f64 (.f64 B B) (.f64 C C)))) (.f64 C F))))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (+.f64 (.f64 -4 (.f64 A (.f64 (-.f64 A (.f64 -1 A)) (.f64 C F)))) (+.f64 (/.f64 (.f64 F (+.f64 (.f64 2 (.f64 (pow.f64 A 2) (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)) (pow.f64 (.f64 -1 A) 2)))) (.f64 -1/2 (.f64 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)) (pow.f64 (.f64 -1 A) 2)) (pow.f64 B 2))))) C) (.f64 F (+.f64 (.f64 (-.f64 A (.f64 -1 A)) (pow.f64 B 2)) (.f64 2 (.f64 A (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)) (pow.f64 (.f64 -1 A) 2))))))))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))

Outputs
(.f64 (sqrt.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))) (/.f64 (sqrt.f64 2) B))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 2 F))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))) (sqrt.f64 (.f64 2 (fma.f64 B B (.f64 A (.f64 C -4))))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
(sqrt.f64 (neg.f64 (/.f64 F A)))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))) (sqrt.f64 (.f64 2 (fma.f64 B B (.f64 A (.f64 C -4))))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
(.f64 (sqrt.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))) (*.f64 (neg.f64 (sqrt.f64 2)) (/.f64 1 B)))

Calls

6 calls:

571.0ms	B
435.0ms	F
350.0ms	C
310.0ms	A
184.0ms	(pow.f64 B 2)

Results

Error	Segments	Branch
40.2b	3	`A`
34.4b	6	`B`
40.3b	3	`C`
41.0b	4	`F`
38.8b	2	`(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 (-.f64 (pow.f64 B 2) (.f64 (.f64 4 A) C)) F)) (-.f64 (+.f64 A C) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2))))))) (-.f64 (pow.f64 B 2) (.f64 (*.f64 4 A) C)))`
39.3b	3	`(pow.f64 B 2)`

Compiler

Compiled 5599 to 2798 computations (50% saved)

bsearch300.0ms (0.6%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
32.0ms	5.762937957137875e+119	2.308163921702199e+120
59.0ms	6.132109345317609e-291	1.6697172684688533e-286
79.0ms	-1.8871786265736926e-129	-7.375991346490778e-136
71.0ms	-3.1695854020132746e-119	-8.005968624094417e-125
57.0ms	-853032065136107900.0	-265505244236816.7

Results

100.0ms	403×	body	256	valid
73.0ms	109×	body	1024	valid
67.0ms	64×	body	2048	valid
27.0ms	64×	body	512	valid
18.0ms	73×	body	256	invalid

Compiler

Compiled 2441 to 1610 computations (34% saved)

regimes2.5s (5.2%)

Counts

173 → 7

Calls

Call 1

Inputs
(sqrt.f64 (/.f64 F A))
(sqrt.f64 (neg.f64 (/.f64 F A)))
(sqrt.f64 (neg.f64 (/.f64 F C)))
(sqrt.f64 (*.f64 2 (/.f64 F B)))
(sqrt.f64 (/.f64 (*.f64 -2 F) B))
(/.f64 1 (sqrt.f64 (/.f64 A F)))
(.f64 (sqrt.f64 (.f64 C F)) (/.f64 -2 B))
(-.f64 (+.f64 1 (sqrt.f64 (/.f64 F A))) 1)
(/.f64 (sqrt.f64 (.f64 C (.f64 F 2))) B)
(sqrt.f64 (*.f64 (/.f64 2 B) (/.f64 C (/.f64 B F))))
(/.f64 1 (/.f64 B (sqrt.f64 (.f64 (.f64 C F) 2))))
(sqrt.f64 (.f64 -1/2 (/.f64 (-.f64 A (neg.f64 A)) (/.f64 (.f64 A C) F))))
(sqrt.f64 (.f64 -1/2 (/.f64 (-.f64 C (neg.f64 C)) (/.f64 (.f64 A C) F))))
(sqrt.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 A (.f64 -1 A)) F) (.f64 A C))))
(sqrt.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 C (.f64 -1 C)) F) (.f64 A C))))
(sqrt.f64 (.f64 2 (+.f64 (/.f64 F (/.f64 (.f64 B B) (+.f64 A C))) (/.f64 F B))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 C (.f64 F (.f64 B B)))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 F (.f64 C (.f64 B B)))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 -4 (.f64 A (.f64 (.f64 C C) F)))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 A (.f64 -4 (.f64 C (.f64 C F))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 B (.f64 B F)) (+.f64 A (-.f64 C A)))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 -4 (.f64 (.f64 A C) F)) (+.f64 A (-.f64 C A)))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C A)))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C B)))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C C)))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (neg.f64 A))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (neg.f64 B))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
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(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (+.f64 A A))) (sqrt.f64 (.f64 2 (fma.f64 B B (.f64 A (.f64 C -4))))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (+.f64 A B))) (sqrt.f64 (.f64 2 (fma.f64 B B (.f64 A (.f64 C -4))))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))) (neg.f64 (.f64 (sqrt.f64 2) B)))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (-.f64 C (neg.f64 C)))) (sqrt.f64 (.f64 2 (fma.f64 B B (.f64 A (.f64 C -4))))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
(.f64 (sqrt.f64 (.f64 F (+.f64 A A))) (.f64 (neg.f64 (sqrt.f64 (.f64 2 (fma.f64 B B (.f64 A (.f64 C -4)))))) (/.f64 1 (fma.f64 B B (.f64 A (.f64 C -4))))))
(.f64 (sqrt.f64 (.f64 F (+.f64 C C))) (.f64 (neg.f64 (sqrt.f64 (.f64 2 (fma.f64 B B (.f64 A (.f64 C -4)))))) (/.f64 1 (fma.f64 B B (.f64 A (.f64 C -4))))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) (.f64 F (-.f64 C (-.f64 (hypot.f64 B (-.f64 A C)) A))))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 2 F))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
(.f64 (sqrt.f64 (.f64 F (.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) 2) (fma.f64 B B (.f64 A (.f64 C -4)))))) (/.f64 -1 (fma.f64 B B (.f64 A (.f64 C -4)))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) (.f64 F (fma.f64 1/2 (/.f64 (.f64 B B) C) (.f64 2 C))))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (neg.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 2 F)))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
(.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 F)))) (/.f64 1 (neg.f64 (fma.f64 B B (.f64 A (.f64 C -4))))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) (.f64 F (fma.f64 -1/2 (/.f64 (.f64 B B) (-.f64 A C)) (.f64 2 C))))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
(.f64 (+.f64 (sqrt.f64 (.f64 F (-.f64 A (neg.f64 A)))) (.f64 (.f64 -1/4 (sqrt.f64 (/.f64 F (-.f64 A (neg.f64 A))))) (/.f64 (+.f64 (.f64 B B) (-.f64 (.f64 A A) (pow.f64 (neg.f64 A) 2))) C))) (/.f64 (neg.f64 (sqrt.f64 2)) B))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (+.f64 A (+.f64 A (/.f64 -1/2 (/.f64 C (+.f64 (.f64 B B) (-.f64 (.f64 A A) (pow.f64 (neg.f64 A) 2))))))))) (.f64 (sqrt.f64 2) B))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (+.f64 A (+.f64 (.f64 1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B)) (+.f64 C B))) (.f64 2 F))))) (fma.f64 B B (.f64 A (.f64 C -4))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (+.f64 A (+.f64 C (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B)) (.f64 -1 B)))) (.f64 2 F))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (+.f64 A (+.f64 A (.f64 -1/2 (/.f64 (+.f64 (.f64 B B) (-.f64 (.f64 A A) (pow.f64 (neg.f64 A) 2))) C)))) (.f64 2 F))))) (fma.f64 B B (.f64 A (.f64 C -4))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 C (.f64 A 4))) F) (+.f64 (+.f64 A (-.f64 C A)) (+.f64 C (.f64 -1/2 (/.f64 (fma.f64 B B (-.f64 (.f64 C C) (pow.f64 (neg.f64 C) 2))) A)))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(.f64 (sqrt.f64 (.f64 F (-.f64 A (fma.f64 1/2 (*.f64 (/.f64 A B) A) B)))) (neg.f64 (log.f64 (exp.f64 (/.f64 (sqrt.f64 2) B)))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (-.f64 A (expm1.f64 (log1p.f64 (hypot.f64 B A)))))) (.f64 B (sqrt.f64 2)))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (-.f64 A (pow.f64 (cbrt.f64 (hypot.f64 B A)) 3)))) (.f64 B (sqrt.f64 2)))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (.f64 (hypot.f64 B (sqrt.f64 (.f64 A (.f64 C -4)))) (sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 2 F))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
(sqrt.f64 (/.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 F))) (pow.f64 (fma.f64 B B (.f64 A (*.f64 C -4))) 2)))

Outputs
(.f64 (sqrt.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))) (/.f64 (sqrt.f64 2) B))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 2 F))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
(/.f64 (neg.f64 (.f64 (hypot.f64 B (sqrt.f64 (.f64 A (.f64 C -4)))) (sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 2 F))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
(sqrt.f64 (neg.f64 (/.f64 F A)))
(.f64 (sqrt.f64 (.f64 F (+.f64 A A))) (.f64 (neg.f64 (sqrt.f64 (.f64 2 (fma.f64 B B (.f64 A (.f64 C -4)))))) (/.f64 1 (fma.f64 B B (.f64 A (.f64 C -4))))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) (.f64 F (-.f64 C (-.f64 (hypot.f64 B (-.f64 A C)) A))))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
(.f64 (sqrt.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))) (/.f64 (neg.f64 (sqrt.f64 2)) B))

Calls

4 calls:

684.0ms	B
680.0ms	C
562.0ms	A
532.0ms	F

Results

Error	Segments	Branch
39.6b	7	`A`
34.3b	7	`B`
40.3b	8	`C`
42.9b	5	`F`

Compiler

Compiled 4024 to 2038 computations (49.4% saved)

bsearch575.0ms (1.2%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
61.0ms	1.5027263506561926e-109	5.517292287592437e-101
120.0ms	9.443895000925238e-140	2.607207285643919e-122
178.0ms	6.132109345317609e-291	1.6697172684688533e-286
81.0ms	-1.8871786265736926e-129	-7.375991346490778e-136
71.0ms	-3.1695854020132746e-119	-8.005968624094417e-125
61.0ms	-853032065136107900.0	-265505244236816.7

Results

166.0ms	150×	body	1024	valid
165.0ms	536×	body	256	valid
79.0ms	94×	body	2048	valid
61.0ms	68×	body	512	valid
20.0ms	95×	body	256	invalid

Compiler

Compiled 3286 to 2184 computations (33.5% saved)

regimes1.9s (3.9%)

Counts

171 → 7

Calls

Call 1

Inputs
(sqrt.f64 (/.f64 F A))
(sqrt.f64 (neg.f64 (/.f64 F A)))
(sqrt.f64 (neg.f64 (/.f64 F C)))
(sqrt.f64 (*.f64 2 (/.f64 F B)))
(sqrt.f64 (/.f64 (*.f64 -2 F) B))
(/.f64 1 (sqrt.f64 (/.f64 A F)))
(.f64 (sqrt.f64 (.f64 C F)) (/.f64 -2 B))
(-.f64 (+.f64 1 (sqrt.f64 (/.f64 F A))) 1)
(/.f64 (sqrt.f64 (.f64 C (.f64 F 2))) B)
(sqrt.f64 (*.f64 (/.f64 2 B) (/.f64 C (/.f64 B F))))
(/.f64 1 (/.f64 B (sqrt.f64 (.f64 (.f64 C F) 2))))
(sqrt.f64 (.f64 -1/2 (/.f64 (-.f64 A (neg.f64 A)) (/.f64 (.f64 A C) F))))
(sqrt.f64 (.f64 -1/2 (/.f64 (-.f64 C (neg.f64 C)) (/.f64 (.f64 A C) F))))
(sqrt.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 A (.f64 -1 A)) F) (.f64 A C))))
(sqrt.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 C (.f64 -1 C)) F) (.f64 A C))))
(sqrt.f64 (.f64 2 (+.f64 (/.f64 F (/.f64 (.f64 B B) (+.f64 A C))) (/.f64 F B))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 C (.f64 F (.f64 B B)))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 F (.f64 C (.f64 B B)))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 -4 (.f64 A (.f64 (.f64 C C) F)))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 A (.f64 -4 (.f64 C (.f64 C F))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 B (.f64 B F)) (+.f64 A (-.f64 C A)))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 -4 (.f64 (.f64 A C) F)) (+.f64 A (-.f64 C A)))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C A)))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C B)))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C C)))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (neg.f64 A))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (neg.f64 B))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (neg.f64 C))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 B (.f64 B F)) (+.f64 A (-.f64 C (+.f64 (-.f64 A C) (.f64 -1/2 (/.f64 (.f64 B B) C))))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 -4 (.f64 (.f64 A C) F)) (+.f64 A (-.f64 C (+.f64 (-.f64 A C) (.f64 -1/2 (/.f64 (.f64 B B) C))))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (+.f64 (.f64 1/2 (/.f64 (.f64 C C) B)) B))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (+.f64 (-.f64 A C) (.f64 -1/2 (/.f64 (.f64 B B) C))))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (+.f64 (-.f64 A C) (.f64 1/2 (/.f64 (.f64 B B) A))))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (sqrt.f64 (neg.f64 F)) (sqrt.f64 A))
(pow.f64 (cbrt.f64 (/.f64 F A)) 3/2)
(pow.f64 (pow.f64 (/.f64 F A) 3/2) 1/3)
(.f64 (/.f64 (sqrt.f64 2) B) (sqrt.f64 (.f64 C F)))
(/.f64 (sqrt.f64 2) (/.f64 B (sqrt.f64 (*.f64 C F))))
(/.f64 (sqrt.f64 (*.f64 C F)) (/.f64 B (sqrt.f64 2)))
(.f64 (/.f64 (sqrt.f64 2) B) (neg.f64 (sqrt.f64 (.f64 C F))))
(/.f64 (.f64 (sqrt.f64 (.f64 C F)) (pow.f64 2 1/2)) B)
(.f64 (sqrt.f64 (.f64 F (neg.f64 B))) (neg.f64 (/.f64 (sqrt.f64 2) B)))
(.f64 (sqrt.f64 (.f64 F (neg.f64 B))) (/.f64 (neg.f64 (sqrt.f64 2)) B))
(.f64 (.f64 (/.f64 1 B) (sqrt.f64 2)) (sqrt.f64 (*.f64 C F)))
(/.f64 (/.f64 (sqrt.f64 (*.f64 C F)) B) (/.f64 1 (sqrt.f64 2)))
(.f64 (sqrt.f64 (.f64 F (+.f64 A A))) (/.f64 (neg.f64 (sqrt.f64 2)) B))
(.f64 (sqrt.f64 (.f64 F (+.f64 C C))) (/.f64 (neg.f64 (sqrt.f64 2)) B))
(.f64 (sqrt.f64 (.f64 F (-.f64 A B))) (neg.f64 (/.f64 (sqrt.f64 2) B)))
(.f64 (sqrt.f64 (.f64 F (+.f64 (+.f64 A C) (neg.f64 B)))) (/.f64 (neg.f64 (sqrt.f64 2)) B))
(.f64 (sqrt.f64 (.f64 -1/2 (.f64 (.f64 A (/.f64 A B)) F))) (neg.f64 (/.f64 (sqrt.f64 2) B)))
(.f64 (sqrt.f64 (.f64 -1/2 (/.f64 (*.f64 A A) (/.f64 B F)))) (neg.f64 (/.f64 (sqrt.f64 2) B)))
(.f64 1/4 (.f64 (.f64 (/.f64 (sqrt.f64 2) A) (/.f64 B C)) (sqrt.f64 (.f64 F (-.f64 A (neg.f64 A))))))
(.f64 (sqrt.f64 (.f64 F (-.f64 A (.f64 (/.f64 A B) (.f64 1/2 A))))) (neg.f64 (/.f64 (sqrt.f64 2) B)))
(sqrt.f64 (.f64 2 (/.f64 (-.f64 C (sqrt.f64 (+.f64 (.f64 B B) (.f64 C C)))) (/.f64 (.f64 B B) F))))
(.f64 1/4 (.f64 (/.f64 (.f64 (sqrt.f64 2) B) (.f64 A C)) (sqrt.f64 (.f64 (-.f64 A (.f64 -1 A)) F))))
(.f64 1/4 (.f64 (/.f64 (.f64 (sqrt.f64 2) B) (.f64 A C)) (sqrt.f64 (.f64 (-.f64 C (.f64 -1 C)) F))))
(neg.f64 (.f64 (/.f64 (sqrt.f64 2) B) (sqrt.f64 (.f64 F (+.f64 (.f64 2 C) (.f64 1/2 (/.f64 B (/.f64 C B))))))))
(.f64 (sqrt.f64 (.f64 F (-.f64 A (+.f64 (.f64 1/2 (.f64 A (/.f64 A B))) B)))) (neg.f64 (/.f64 (sqrt.f64 2) B)))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 -16 A) (.f64 F (.f64 C C))))) (fma.f64 B B (.f64 A (.f64 C -4))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 -16 (.f64 A A)) (.f64 F C)))) (fma.f64 B B (.f64 A (.f64 C -4))))
(/.f64 (neg.f64 (.f64 B (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 C F))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (.f64 (.f64 B (sqrt.f64 2)) (neg.f64 (sqrt.f64 (.f64 C F))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 -8 (.f64 A (.f64 F (.f64 C C))))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (-.f64 A A))) (.f64 B (sqrt.f64 2)))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (-.f64 A B))) (.f64 B (sqrt.f64 2)))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 -8 A) (.f64 (.f64 F C) (-.f64 A (neg.f64 A)))))) (fma.f64 B B (.f64 A (.f64 C -4))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 -8 A) (.f64 (.f64 F C) (-.f64 C (neg.f64 C)))))) (fma.f64 B B (.f64 A (.f64 C -4))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (-.f64 A (neg.f64 A)))) (.f64 B (sqrt.f64 2)))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 -4 (.f64 (.f64 A C) (.f64 F (-.f64 C (neg.f64 C)))))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (+.f64 (.f64 2 C) (.f64 1/2 (/.f64 B (/.f64 C B)))))) (.f64 (sqrt.f64 2) B))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 F (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (+.f64 A (+.f64 (+.f64 C (-.f64 C A)) (.f64 1/2 (/.f64 B (/.f64 C B)))))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (+.f64 (.f64 1/2 (/.f64 B (/.f64 C B))) (+.f64 (+.f64 A C) (-.f64 C A)))) (.f64 2 F)))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (+.f64 C (fma.f64 -1/2 (/.f64 (.f64 B B) A) (neg.f64 A))))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (+.f64 (.f64 1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B)) B))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B)) (.f64 -1 B)))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (+.f64 (-.f64 A C) (.f64 1/2 (/.f64 (+.f64 (.f64 B B) (-.f64 (.f64 C C) (pow.f64 (neg.f64 C) 2))) A))))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(neg.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) (sqrt.f64 (/.f64 F C)))))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 1/2)) (neg.f64 (sqrt.f64 (/.f64 F C))))
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 (.f64 C F) 2)) B)) 3)
(neg.f64 (.f64 (/.f64 (pow.f64 (sqrt.f64 2) 2) B) (sqrt.f64 (.f64 C F))))
(.f64 (/.f64 (sqrt.f64 2) B) (pow.f64 (pow.f64 (.f64 C F) 3/2) 1/3))
(.f64 (sqrt.f64 (.f64 F (neg.f64 B))) (neg.f64 (pow.f64 (/.f64 B (sqrt.f64 2)) -1)))
(.f64 (/.f64 (sqrt.f64 2) B) (neg.f64 (sqrt.f64 (.f64 F (-.f64 A (hypot.f64 B A))))))
(.f64 (.f64 1/4 (/.f64 (pow.f64 (sqrt.f64 2) 2) (/.f64 A B))) (sqrt.f64 (/.f64 F C)))
(/.f64 (pow.f64 (.f64 C F) 1/4) (/.f64 (/.f64 B (sqrt.f64 2)) (pow.f64 (.f64 C F) 1/4)))
(.f64 (sqrt.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))) (/.f64 (sqrt.f64 2) B))
(.f64 (sqrt.f64 (.f64 F (-.f64 C (sqrt.f64 (+.f64 (.f64 B B) (.f64 C C)))))) (/.f64 (sqrt.f64 2) B))
(.f64 (sqrt.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))) (/.f64 (neg.f64 (sqrt.f64 2)) B))
(.f64 (sqrt.f64 (.f64 (.f64 A A) (.f64 (/.f64 F B) -1/2))) (neg.f64 (pow.f64 (/.f64 B (sqrt.f64 2)) -1)))
(.f64 (/.f64 (sqrt.f64 2) B) (sqrt.f64 (.f64 F (-.f64 A (sqrt.f64 (+.f64 (.f64 A A) (.f64 B B)))))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 F (pow.f64 B 3))))) (fma.f64 B B (.f64 A (.f64 C -4))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 -2 F) (pow.f64 B 3)))) (fma.f64 B B (.f64 A (.f64 C -4))))
(/.f64 (.f64 (sqrt.f64 (.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))) (neg.f64 (sqrt.f64 2))) B)
(.f64 (sqrt.f64 (.f64 F (-.f64 A (fma.f64 1/2 (*.f64 (/.f64 A B) A) B)))) (neg.f64 (/.f64 (sqrt.f64 2) B)))
(.f64 (/.f64 (neg.f64 (sqrt.f64 2)) B) (sqrt.f64 (.f64 F (-.f64 A (sqrt.f64 (+.f64 (.f64 B B) (.f64 A A)))))))
(.f64 (/.f64 (neg.f64 (sqrt.f64 2)) B) (sqrt.f64 (.f64 F (-.f64 C (sqrt.f64 (+.f64 (.f64 B B) (.f64 C C)))))))
(.f64 (/.f64 (sqrt.f64 2) B) (neg.f64 (sqrt.f64 (.f64 F (-.f64 C (fma.f64 1/2 (*.f64 (/.f64 C B) C) B))))))
(.f64 (sqrt.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))) (*.f64 (neg.f64 (sqrt.f64 2)) (/.f64 1 B)))
(.f64 (sqrt.f64 (.f64 F (-.f64 A (fma.f64 1/2 (*.f64 (/.f64 A B) A) B)))) (neg.f64 (sqrt.f64 (/.f64 (/.f64 2 B) B))))
(.f64 (sqrt.f64 (.f64 F (-.f64 A (fma.f64 1/2 (.f64 (/.f64 A B) A) B)))) (neg.f64 (.f64 (/.f64 1 B) (sqrt.f64 2))))
(.f64 (sqrt.f64 (.f64 F (fma.f64 -1/2 (/.f64 (.f64 B B) (-.f64 A C)) (.f64 2 C)))) (/.f64 (neg.f64 (sqrt.f64 2)) B))
(.f64 (sqrt.f64 (.f64 F (-.f64 A (fma.f64 1/2 (.f64 (/.f64 A B) A) B)))) (neg.f64 (/.f64 1 (.f64 B (pow.f64 2 -1/2)))))
(.f64 (sqrt.f64 (.f64 F (-.f64 A (fma.f64 1/2 (*.f64 (/.f64 A B) A) B)))) (neg.f64 (/.f64 (/.f64 1 B) (pow.f64 2 -1/2))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (-.f64 C (neg.f64 C)))) (.f64 (sqrt.f64 2) B))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
(.f64 (sqrt.f64 (.f64 F (-.f64 A (sqrt.f64 (+.f64 (.f64 A A) (.f64 B B)))))) (.f64 1/4 (.f64 (/.f64 (sqrt.f64 2) (*.f64 A C)) B)))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))) (.f64 (sqrt.f64 2) B))) (.f64 A (*.f64 C -4)))
(.f64 (sqrt.f64 (.f64 2 (.f64 F (+.f64 C (-.f64 A (hypot.f64 B (-.f64 A C))))))) (/.f64 B (fma.f64 B B (.f64 A (*.f64 C -4)))))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (.f64 F (-.f64 (+.f64 C A) (hypot.f64 B (-.f64 A C)))))) (fma.f64 B B (.f64 A (*.f64 C -4)))) B)
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) (.f64 F B))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 F (+.f64 (pow.f64 B 3) (.f64 (.f64 B B) (+.f64 A C))))))) (fma.f64 B B (.f64 A (.f64 -4 C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 F (-.f64 (+.f64 C A) (hypot.f64 B (-.f64 A C))))))) (/.f64 (fma.f64 B B (.f64 A (.f64 C -4))) B))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) (.f64 F (neg.f64 B)))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (fabs.f64 (.f64 F (.f64 C (fma.f64 B B (.f64 -4 (.f64 A C))))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) (.f64 F (.f64 2 C)))))) (fma.f64 B B (.f64 A (.f64 -4 C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (+.f64 A A) (.f64 2 F))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 C) (sqrt.f64 (.f64 F (.f64 (fma.f64 B B (.f64 -4 (.f64 A C))) 2))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(.f64 (.f64 B (sqrt.f64 (.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))) 2))) (/.f64 1 (neg.f64 (fma.f64 B B (.f64 A (.f64 C -4))))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (+.f64 A (neg.f64 A)) (.f64 2 F))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (-.f64 C (sqrt.f64 (+.f64 (.f64 B B) (.f64 C C)))) (.f64 F (.f64 B B)))))) (fma.f64 B B (.f64 A (.f64 C -4))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (-.f64 A (sqrt.f64 (+.f64 (.f64 B B) (.f64 A A)))))) (.f64 B (sqrt.f64 2)))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (-.f64 A (fma.f64 1/2 (/.f64 (.f64 A A) B) B)))) (.f64 B (sqrt.f64 2)))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (-.f64 C (sqrt.f64 (+.f64 (.f64 B B) (.f64 C C)))))) (.f64 B (sqrt.f64 2)))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(.f64 (sqrt.f64 (.f64 F (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 A A) (-.f64 (*.f64 B B) (pow.f64 (neg.f64 A) 2))) C)) (-.f64 A (neg.f64 A))))) (/.f64 (neg.f64 (sqrt.f64 2)) B))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (+.f64 A (+.f64 A (.f64 1/2 (/.f64 (.f64 B B) A)))) (.f64 2 F))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 -4 (.f64 (.f64 A C) F)) (+.f64 A (-.f64 C (sqrt.f64 (+.f64 (.f64 B B) (pow.f64 (-.f64 A C) 2))))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 -16 (.f64 A (.f64 F (.f64 C C))) (.f64 (.f64 2 F) (.f64 (.f64 B B) (.f64 2 (+.f64 (/.f64 (.f64 A C) (-.f64 A C)) C))))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (sqrt.f64 (+.f64 (.f64 B B) (pow.f64 (-.f64 A C) 2))))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 C (.f64 A 4))) F) (+.f64 (+.f64 A (-.f64 C A)) (+.f64 C (.f64 -1/2 (/.f64 (fma.f64 B B (-.f64 (.f64 C C) (pow.f64 (neg.f64 C) 2))) A)))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (cbrt.f64 (.f64 C F)) (/.f64 (/.f64 B (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 (.f64 C F)))))
(.f64 (cbrt.f64 (pow.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))) 3/2)) (/.f64 (neg.f64 (sqrt.f64 2)) B))
(.f64 (cbrt.f64 (pow.f64 (.f64 F (-.f64 A (fma.f64 1/2 (/.f64 A (/.f64 B A)) B))) 3/2)) (neg.f64 (/.f64 (sqrt.f64 2) B)))
(.f64 (sqrt.f64 (.f64 F (-.f64 A (fma.f64 1/2 (*.f64 (/.f64 A B) A) B)))) (neg.f64 (pow.f64 (/.f64 B (sqrt.f64 2)) -1)))
(.f64 (pow.f64 (pow.f64 (.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))) 1/4) 2) (/.f64 (neg.f64 (sqrt.f64 2)) B))
(.f64 B (.f64 (sqrt.f64 (.f64 F (-.f64 A (hypot.f64 B A)))) (/.f64 (sqrt.f64 2) (fma.f64 B B (.f64 A (*.f64 C -4))))))
(.f64 (exp.f64 (.f64 (log.f64 (.f64 F (-.f64 A (fma.f64 1/2 (.f64 A (/.f64 A B)) B)))) 1/2)) (neg.f64 (/.f64 (sqrt.f64 2) B)))
(.f64 (.f64 B (sqrt.f64 2)) (/.f64 (sqrt.f64 (.f64 F (-.f64 A (hypot.f64 B A)))) (fma.f64 B B (.f64 A (*.f64 C -4)))))
(.f64 (pow.f64 (pow.f64 (.f64 F (-.f64 A (fma.f64 1/2 (*.f64 A (/.f64 A B)) B))) 1/4) 2) (neg.f64 (/.f64 (sqrt.f64 2) B)))
(.f64 (pow.f64 (pow.f64 (.f64 F (-.f64 A (fma.f64 1/2 (*.f64 A (/.f64 A B)) B))) 3/2) 1/3) (neg.f64 (/.f64 (sqrt.f64 2) B)))
(/.f64 (neg.f64 (sqrt.f64 (.f64 F (-.f64 A (hypot.f64 B A))))) (/.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 B (sqrt.f64 2))))
(/.f64 (.f64 (sqrt.f64 2) (.f64 B (sqrt.f64 (.f64 F (-.f64 A (hypot.f64 B A)))))) (neg.f64 (fma.f64 B B (.f64 A (*.f64 C -4)))))
(.f64 (sqrt.f64 (.f64 F (-.f64 A (-.f64 (+.f64 (.f64 1/2 (.f64 A (/.f64 A B))) (exp.f64 (log1p.f64 B))) 1)))) (neg.f64 (/.f64 (sqrt.f64 2) B)))
(.f64 (sqrt.f64 (.f64 F (-.f64 A (fma.f64 1/2 (.f64 (/.f64 A B) A) B)))) (neg.f64 (.f64 (/.f64 (pow.f64 2 1/4) B) (pow.f64 2 1/4))))
(.f64 (/.f64 1 (fma.f64 B B (.f64 (.f64 A C) -4))) (.f64 B (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 F (-.f64 A (hypot.f64 B A)))))))
(.f64 (/.f64 (sqrt.f64 (.f64 F (-.f64 A (hypot.f64 B A)))) (/.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) (*.f64 B (sqrt.f64 2)))) 1)
(/.f64 1 (/.f64 (hypot.f64 B (sqrt.f64 (.f64 A (.f64 C -4)))) (sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 2 F)))))
(/.f64 (neg.f64 (.f64 (exp.f64 (.f64 (log.f64 (.f64 F (-.f64 A (hypot.f64 B A)))) 1/2)) (.f64 B (sqrt.f64 2)))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))) (.f64 (sqrt.f64 2) B))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
(/.f64 (neg.f64 (.f64 (pow.f64 (pow.f64 (.f64 F (-.f64 A (hypot.f64 B A))) 3/2) 1/3) (.f64 B (sqrt.f64 2)))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(.f64 (sqrt.f64 (.f64 F B)) (.f64 (neg.f64 (sqrt.f64 (.f64 2 (fma.f64 B B (.f64 A (.f64 C -4)))))) (/.f64 1 (fma.f64 B B (.f64 A (.f64 C -4))))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (+.f64 A A))) (sqrt.f64 (.f64 2 (fma.f64 B B (.f64 A (.f64 C -4))))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (+.f64 A B))) (sqrt.f64 (.f64 2 (fma.f64 B B (.f64 A (.f64 C -4))))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))) (neg.f64 (.f64 (sqrt.f64 2) B)))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (-.f64 C (neg.f64 C)))) (sqrt.f64 (.f64 2 (fma.f64 B B (.f64 A (.f64 C -4))))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
(.f64 (sqrt.f64 (.f64 F (+.f64 A A))) (.f64 (neg.f64 (sqrt.f64 (.f64 2 (fma.f64 B B (.f64 A (.f64 C -4)))))) (/.f64 1 (fma.f64 B B (.f64 A (.f64 C -4))))))
(.f64 (sqrt.f64 (.f64 F (+.f64 C C))) (.f64 (neg.f64 (sqrt.f64 (.f64 2 (fma.f64 B B (.f64 A (.f64 C -4)))))) (/.f64 1 (fma.f64 B B (.f64 A (.f64 C -4))))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) (.f64 F (-.f64 C (-.f64 (hypot.f64 B (-.f64 A C)) A))))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 2 F))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
(.f64 (sqrt.f64 (.f64 F (.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) 2) (fma.f64 B B (.f64 A (.f64 C -4)))))) (/.f64 -1 (fma.f64 B B (.f64 A (.f64 C -4)))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) (.f64 F (fma.f64 1/2 (/.f64 (.f64 B B) C) (.f64 2 C))))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (neg.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 2 F)))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
(.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 F)))) (/.f64 1 (neg.f64 (fma.f64 B B (.f64 A (.f64 C -4))))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) (.f64 F (fma.f64 -1/2 (/.f64 (.f64 B B) (-.f64 A C)) (.f64 2 C))))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
(.f64 (+.f64 (sqrt.f64 (.f64 F (-.f64 A (neg.f64 A)))) (.f64 (.f64 -1/4 (sqrt.f64 (/.f64 F (-.f64 A (neg.f64 A))))) (/.f64 (+.f64 (.f64 B B) (-.f64 (.f64 A A) (pow.f64 (neg.f64 A) 2))) C))) (/.f64 (neg.f64 (sqrt.f64 2)) B))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (+.f64 A (+.f64 A (/.f64 -1/2 (/.f64 C (+.f64 (.f64 B B) (-.f64 (.f64 A A) (pow.f64 (neg.f64 A) 2))))))))) (.f64 (sqrt.f64 2) B))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (+.f64 A (+.f64 (.f64 1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B)) (+.f64 C B))) (.f64 2 F))))) (fma.f64 B B (.f64 A (.f64 C -4))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (+.f64 A (+.f64 C (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B)) (.f64 -1 B)))) (.f64 2 F))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (+.f64 A (+.f64 A (.f64 -1/2 (/.f64 (+.f64 (.f64 B B) (-.f64 (.f64 A A) (pow.f64 (neg.f64 A) 2))) C)))) (.f64 2 F))))) (fma.f64 B B (.f64 A (.f64 C -4))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 C (.f64 A 4))) F) (+.f64 (+.f64 A (-.f64 C A)) (+.f64 C (.f64 -1/2 (/.f64 (fma.f64 B B (-.f64 (.f64 C C) (pow.f64 (neg.f64 C) 2))) A)))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(.f64 (sqrt.f64 (.f64 F (-.f64 A (fma.f64 1/2 (*.f64 (/.f64 A B) A) B)))) (neg.f64 (log.f64 (exp.f64 (/.f64 (sqrt.f64 2) B)))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (-.f64 A (expm1.f64 (log1p.f64 (hypot.f64 B A)))))) (.f64 B (sqrt.f64 2)))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (-.f64 A (pow.f64 (cbrt.f64 (hypot.f64 B A)) 3)))) (.f64 B (sqrt.f64 2)))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))

Outputs
(.f64 (sqrt.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))) (/.f64 (sqrt.f64 2) B))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 2 F))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (+.f64 A A))) (sqrt.f64 (.f64 2 (fma.f64 B B (.f64 A (.f64 C -4))))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
(sqrt.f64 (neg.f64 (/.f64 F A)))
(.f64 (sqrt.f64 (.f64 F (+.f64 A A))) (.f64 (neg.f64 (sqrt.f64 (.f64 2 (fma.f64 B B (.f64 A (.f64 C -4)))))) (/.f64 1 (fma.f64 B B (.f64 A (.f64 C -4))))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) (.f64 F (-.f64 C (-.f64 (hypot.f64 B (-.f64 A C)) A))))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
(.f64 (sqrt.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))) (/.f64 (neg.f64 (sqrt.f64 2)) B))

Calls

4 calls:

677.0ms	B
450.0ms	A
415.0ms	F
314.0ms	C

Results

Error	Segments	Branch
40.9b	6	`A`
34.4b	7	`B`
43.5b	4	`C`
44.5b	5	`F`

Compiler

Compiled 3957 to 2006 computations (49.3% saved)

bsearch409.0ms (0.8%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
59.0ms	1.5027263506561926e-109	5.517292287592437e-101
64.0ms	9.443895000925238e-140	2.607207285643919e-122
60.0ms	6.132109345317609e-291	1.6697172684688533e-286
79.0ms	-1.8871786265736926e-129	-7.375991346490778e-136
87.0ms	-5.47846580077891e-103	-4.688120754341725e-115
58.0ms	-853032065136107900.0	-265505244236816.7

Results

122.0ms	518×	body	256	valid
118.0ms	124×	body	2048	valid
100.0ms	153×	body	1024	valid
32.0ms	69×	body	512	valid
19.0ms	88×	body	256	invalid

Compiler

Compiled 3267 to 2176 computations (33.4% saved)

regimes1.7s (3.4%)

Counts

156 → 7

Calls

Call 1

Inputs
(sqrt.f64 (/.f64 F A))
(sqrt.f64 (neg.f64 (/.f64 F A)))
(sqrt.f64 (neg.f64 (/.f64 F C)))
(sqrt.f64 (*.f64 2 (/.f64 F B)))
(sqrt.f64 (/.f64 (*.f64 -2 F) B))
(/.f64 1 (sqrt.f64 (/.f64 A F)))
(.f64 (sqrt.f64 (.f64 C F)) (/.f64 -2 B))
(-.f64 (+.f64 1 (sqrt.f64 (/.f64 F A))) 1)
(/.f64 (sqrt.f64 (.f64 C (.f64 F 2))) B)
(sqrt.f64 (*.f64 (/.f64 2 B) (/.f64 C (/.f64 B F))))
(/.f64 1 (/.f64 B (sqrt.f64 (.f64 (.f64 C F) 2))))
(sqrt.f64 (.f64 -1/2 (/.f64 (-.f64 A (neg.f64 A)) (/.f64 (.f64 A C) F))))
(sqrt.f64 (.f64 -1/2 (/.f64 (-.f64 C (neg.f64 C)) (/.f64 (.f64 A C) F))))
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(.f64 (.f64 B (sqrt.f64 2)) (/.f64 (sqrt.f64 (.f64 F (-.f64 A (hypot.f64 B A)))) (fma.f64 B B (.f64 A (*.f64 C -4)))))
(.f64 (pow.f64 (pow.f64 (.f64 F (-.f64 A (fma.f64 1/2 (*.f64 A (/.f64 A B)) B))) 1/4) 2) (neg.f64 (/.f64 (sqrt.f64 2) B)))
(.f64 (pow.f64 (pow.f64 (.f64 F (-.f64 A (fma.f64 1/2 (*.f64 A (/.f64 A B)) B))) 3/2) 1/3) (neg.f64 (/.f64 (sqrt.f64 2) B)))
(/.f64 (neg.f64 (sqrt.f64 (.f64 F (-.f64 A (hypot.f64 B A))))) (/.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 B (sqrt.f64 2))))
(/.f64 (.f64 (sqrt.f64 2) (.f64 B (sqrt.f64 (.f64 F (-.f64 A (hypot.f64 B A)))))) (neg.f64 (fma.f64 B B (.f64 A (*.f64 C -4)))))
(.f64 (sqrt.f64 (.f64 F (-.f64 A (-.f64 (+.f64 (.f64 1/2 (.f64 A (/.f64 A B))) (exp.f64 (log1p.f64 B))) 1)))) (neg.f64 (/.f64 (sqrt.f64 2) B)))
(.f64 (sqrt.f64 (.f64 F (-.f64 A (fma.f64 1/2 (.f64 (/.f64 A B) A) B)))) (neg.f64 (.f64 (/.f64 (pow.f64 2 1/4) B) (pow.f64 2 1/4))))
(.f64 (/.f64 1 (fma.f64 B B (.f64 (.f64 A C) -4))) (.f64 B (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 F (-.f64 A (hypot.f64 B A)))))))
(.f64 (/.f64 (sqrt.f64 (.f64 F (-.f64 A (hypot.f64 B A)))) (/.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) (*.f64 B (sqrt.f64 2)))) 1)
(/.f64 1 (/.f64 (hypot.f64 B (sqrt.f64 (.f64 A (.f64 C -4)))) (sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 2 F)))))
(/.f64 (neg.f64 (.f64 (exp.f64 (.f64 (log.f64 (.f64 F (-.f64 A (hypot.f64 B A)))) 1/2)) (.f64 B (sqrt.f64 2)))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))) (.f64 (sqrt.f64 2) B))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
(/.f64 (neg.f64 (.f64 (pow.f64 (pow.f64 (.f64 F (-.f64 A (hypot.f64 B A))) 3/2) 1/3) (.f64 B (sqrt.f64 2)))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(.f64 (sqrt.f64 (.f64 F B)) (.f64 (neg.f64 (sqrt.f64 (.f64 2 (fma.f64 B B (.f64 A (.f64 C -4)))))) (/.f64 1 (fma.f64 B B (.f64 A (.f64 C -4))))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (+.f64 A A))) (sqrt.f64 (.f64 2 (fma.f64 B B (.f64 A (.f64 C -4))))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (+.f64 A B))) (sqrt.f64 (.f64 2 (fma.f64 B B (.f64 A (.f64 C -4))))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))) (neg.f64 (.f64 (sqrt.f64 2) B)))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (-.f64 C (neg.f64 C)))) (sqrt.f64 (.f64 2 (fma.f64 B B (.f64 A (.f64 C -4))))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
(.f64 (sqrt.f64 (.f64 F (+.f64 A A))) (.f64 (neg.f64 (sqrt.f64 (.f64 2 (fma.f64 B B (.f64 A (.f64 C -4)))))) (/.f64 1 (fma.f64 B B (.f64 A (.f64 C -4))))))
(.f64 (sqrt.f64 (.f64 F (+.f64 C C))) (.f64 (neg.f64 (sqrt.f64 (.f64 2 (fma.f64 B B (.f64 A (.f64 C -4)))))) (/.f64 1 (fma.f64 B B (.f64 A (.f64 C -4))))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) (.f64 F (-.f64 C (-.f64 (hypot.f64 B (-.f64 A C)) A))))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))

Outputs
(.f64 (sqrt.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))) (/.f64 (sqrt.f64 2) B))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) (.f64 F (-.f64 C (-.f64 (hypot.f64 B (-.f64 A C)) A))))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (+.f64 A A))) (sqrt.f64 (.f64 2 (fma.f64 B B (.f64 A (.f64 C -4))))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
(sqrt.f64 (neg.f64 (/.f64 F A)))
(.f64 (sqrt.f64 (.f64 F (+.f64 A A))) (.f64 (neg.f64 (sqrt.f64 (.f64 2 (fma.f64 B B (.f64 A (.f64 C -4)))))) (/.f64 1 (fma.f64 B B (.f64 A (.f64 C -4))))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) (.f64 F (-.f64 C (-.f64 (hypot.f64 B (-.f64 A C)) A))))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
(.f64 (sqrt.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))) (/.f64 (neg.f64 (sqrt.f64 2)) B))

Calls

4 calls:

604.0ms	B
377.0ms	F
351.0ms	A
283.0ms	C

Results

Error	Segments	Branch
42.0b	5	`A`
34.4b	7	`B`
44.7b	4	`C`
44.5b	5	`F`

Compiler

Compiled 3427 to 1730 computations (49.5% saved)

bsearch380.0ms (0.8%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
57.0ms	1.5027263506561926e-109	5.517292287592437e-101
68.0ms	9.443895000925238e-140	2.607207285643919e-122
57.0ms	6.132109345317609e-291	1.6697172684688533e-286
71.0ms	-1.8871786265736926e-129	-7.375991346490778e-136
78.0ms	-5.47846580077891e-103	-4.688120754341725e-115
46.0ms	-7.776691721024794e+102	-6.786310362736262e+100

Results

128.0ms	538×	body	256	valid
95.0ms	103×	body	2048	valid
85.0ms	133×	body	1024	valid
31.0ms	74×	body	512	valid
21.0ms	89×	body	256	invalid

Compiler

Compiled 3207 to 2137 computations (33.4% saved)

regimes2.0s (4.1%)

Counts

155 → 5

Calls

Call 1

Inputs
(sqrt.f64 (/.f64 F A))
(sqrt.f64 (neg.f64 (/.f64 F A)))
(sqrt.f64 (neg.f64 (/.f64 F C)))
(sqrt.f64 (*.f64 2 (/.f64 F B)))
(sqrt.f64 (/.f64 (*.f64 -2 F) B))
(/.f64 1 (sqrt.f64 (/.f64 A F)))
(.f64 (sqrt.f64 (.f64 C F)) (/.f64 -2 B))
(-.f64 (+.f64 1 (sqrt.f64 (/.f64 F A))) 1)
(/.f64 (sqrt.f64 (.f64 C (.f64 F 2))) B)
(sqrt.f64 (*.f64 (/.f64 2 B) (/.f64 C (/.f64 B F))))
(/.f64 1 (/.f64 B (sqrt.f64 (.f64 (.f64 C F) 2))))
(sqrt.f64 (.f64 -1/2 (/.f64 (-.f64 A (neg.f64 A)) (/.f64 (.f64 A C) F))))
(sqrt.f64 (.f64 -1/2 (/.f64 (-.f64 C (neg.f64 C)) (/.f64 (.f64 A C) F))))
(sqrt.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 A (.f64 -1 A)) F) (.f64 A C))))
(sqrt.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 C (.f64 -1 C)) F) (.f64 A C))))
(sqrt.f64 (.f64 2 (+.f64 (/.f64 F (/.f64 (.f64 B B) (+.f64 A C))) (/.f64 F B))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 C (.f64 F (.f64 B B)))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 F (.f64 C (.f64 B B)))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 -4 (.f64 A (.f64 (.f64 C C) F)))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 A (.f64 -4 (.f64 C (.f64 C F))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 B (.f64 B F)) (+.f64 A (-.f64 C A)))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 -4 (.f64 (.f64 A C) F)) (+.f64 A (-.f64 C A)))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C A)))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C B)))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C C)))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (neg.f64 A))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (neg.f64 B))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (neg.f64 C))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 B (.f64 B F)) (+.f64 A (-.f64 C (+.f64 (-.f64 A C) (.f64 -1/2 (/.f64 (.f64 B B) C))))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 -4 (.f64 (.f64 A C) F)) (+.f64 A (-.f64 C (+.f64 (-.f64 A C) (.f64 -1/2 (/.f64 (.f64 B B) C))))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (+.f64 (.f64 1/2 (/.f64 (.f64 C C) B)) B))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (+.f64 (-.f64 A C) (.f64 -1/2 (/.f64 (.f64 B B) C))))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (+.f64 (-.f64 A C) (.f64 1/2 (/.f64 (.f64 B B) A))))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (sqrt.f64 (neg.f64 F)) (sqrt.f64 A))
(pow.f64 (cbrt.f64 (/.f64 F A)) 3/2)
(pow.f64 (pow.f64 (/.f64 F A) 3/2) 1/3)
(.f64 (/.f64 (sqrt.f64 2) B) (sqrt.f64 (.f64 C F)))
(/.f64 (sqrt.f64 2) (/.f64 B (sqrt.f64 (*.f64 C F))))
(/.f64 (sqrt.f64 (*.f64 C F)) (/.f64 B (sqrt.f64 2)))
(.f64 (/.f64 (sqrt.f64 2) B) (neg.f64 (sqrt.f64 (.f64 C F))))
(/.f64 (.f64 (sqrt.f64 (.f64 C F)) (pow.f64 2 1/2)) B)
(.f64 (sqrt.f64 (.f64 F (neg.f64 B))) (neg.f64 (/.f64 (sqrt.f64 2) B)))
(.f64 (sqrt.f64 (.f64 F (neg.f64 B))) (/.f64 (neg.f64 (sqrt.f64 2)) B))
(.f64 (.f64 (/.f64 1 B) (sqrt.f64 2)) (sqrt.f64 (*.f64 C F)))
(/.f64 (/.f64 (sqrt.f64 (*.f64 C F)) B) (/.f64 1 (sqrt.f64 2)))
(.f64 (sqrt.f64 (.f64 F (+.f64 A A))) (/.f64 (neg.f64 (sqrt.f64 2)) B))
(.f64 (sqrt.f64 (.f64 F (+.f64 C C))) (/.f64 (neg.f64 (sqrt.f64 2)) B))
(.f64 (sqrt.f64 (.f64 F (-.f64 A B))) (neg.f64 (/.f64 (sqrt.f64 2) B)))
(.f64 (sqrt.f64 (.f64 F (+.f64 (+.f64 A C) (neg.f64 B)))) (/.f64 (neg.f64 (sqrt.f64 2)) B))
(.f64 (sqrt.f64 (.f64 -1/2 (.f64 (.f64 A (/.f64 A B)) F))) (neg.f64 (/.f64 (sqrt.f64 2) B)))
(.f64 (sqrt.f64 (.f64 -1/2 (/.f64 (*.f64 A A) (/.f64 B F)))) (neg.f64 (/.f64 (sqrt.f64 2) B)))
(.f64 1/4 (.f64 (.f64 (/.f64 (sqrt.f64 2) A) (/.f64 B C)) (sqrt.f64 (.f64 F (-.f64 A (neg.f64 A))))))
(.f64 (sqrt.f64 (.f64 F (-.f64 A (.f64 (/.f64 A B) (.f64 1/2 A))))) (neg.f64 (/.f64 (sqrt.f64 2) B)))
(sqrt.f64 (.f64 2 (/.f64 (-.f64 C (sqrt.f64 (+.f64 (.f64 B B) (.f64 C C)))) (/.f64 (.f64 B B) F))))
(.f64 1/4 (.f64 (/.f64 (.f64 (sqrt.f64 2) B) (.f64 A C)) (sqrt.f64 (.f64 (-.f64 A (.f64 -1 A)) F))))
(.f64 1/4 (.f64 (/.f64 (.f64 (sqrt.f64 2) B) (.f64 A C)) (sqrt.f64 (.f64 (-.f64 C (.f64 -1 C)) F))))
(neg.f64 (.f64 (/.f64 (sqrt.f64 2) B) (sqrt.f64 (.f64 F (+.f64 (.f64 2 C) (.f64 1/2 (/.f64 B (/.f64 C B))))))))
(.f64 (sqrt.f64 (.f64 F (-.f64 A (+.f64 (.f64 1/2 (.f64 A (/.f64 A B))) B)))) (neg.f64 (/.f64 (sqrt.f64 2) B)))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 -16 A) (.f64 F (.f64 C C))))) (fma.f64 B B (.f64 A (.f64 C -4))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 -16 (.f64 A A)) (.f64 F C)))) (fma.f64 B B (.f64 A (.f64 C -4))))
(/.f64 (neg.f64 (.f64 B (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 C F))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (.f64 (.f64 B (sqrt.f64 2)) (neg.f64 (sqrt.f64 (.f64 C F))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 -8 (.f64 A (.f64 F (.f64 C C))))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (-.f64 A A))) (.f64 B (sqrt.f64 2)))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (-.f64 A B))) (.f64 B (sqrt.f64 2)))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 -8 A) (.f64 (.f64 F C) (-.f64 A (neg.f64 A)))))) (fma.f64 B B (.f64 A (.f64 C -4))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 -8 A) (.f64 (.f64 F C) (-.f64 C (neg.f64 C)))))) (fma.f64 B B (.f64 A (.f64 C -4))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (-.f64 A (neg.f64 A)))) (.f64 B (sqrt.f64 2)))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 -4 (.f64 (.f64 A C) (.f64 F (-.f64 C (neg.f64 C)))))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (+.f64 (.f64 2 C) (.f64 1/2 (/.f64 B (/.f64 C B)))))) (.f64 (sqrt.f64 2) B))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 F (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (+.f64 A (+.f64 (+.f64 C (-.f64 C A)) (.f64 1/2 (/.f64 B (/.f64 C B)))))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (+.f64 (.f64 1/2 (/.f64 B (/.f64 C B))) (+.f64 (+.f64 A C) (-.f64 C A)))) (.f64 2 F)))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (+.f64 C (fma.f64 -1/2 (/.f64 (.f64 B B) A) (neg.f64 A))))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (+.f64 (.f64 1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B)) B))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B)) (.f64 -1 B)))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (+.f64 (-.f64 A C) (.f64 1/2 (/.f64 (+.f64 (.f64 B B) (-.f64 (.f64 C C) (pow.f64 (neg.f64 C) 2))) A))))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(neg.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) (sqrt.f64 (/.f64 F C)))))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 1/2)) (neg.f64 (sqrt.f64 (/.f64 F C))))
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 (.f64 C F) 2)) B)) 3)
(neg.f64 (.f64 (/.f64 (pow.f64 (sqrt.f64 2) 2) B) (sqrt.f64 (.f64 C F))))
(.f64 (/.f64 (sqrt.f64 2) B) (pow.f64 (pow.f64 (.f64 C F) 3/2) 1/3))
(.f64 (sqrt.f64 (.f64 F (neg.f64 B))) (neg.f64 (pow.f64 (/.f64 B (sqrt.f64 2)) -1)))
(.f64 (/.f64 (sqrt.f64 2) B) (neg.f64 (sqrt.f64 (.f64 F (-.f64 A (hypot.f64 B A))))))
(.f64 (.f64 1/4 (/.f64 (pow.f64 (sqrt.f64 2) 2) (/.f64 A B))) (sqrt.f64 (/.f64 F C)))
(/.f64 (pow.f64 (.f64 C F) 1/4) (/.f64 (/.f64 B (sqrt.f64 2)) (pow.f64 (.f64 C F) 1/4)))
(.f64 (sqrt.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))) (/.f64 (sqrt.f64 2) B))
(.f64 (sqrt.f64 (.f64 F (-.f64 C (sqrt.f64 (+.f64 (.f64 B B) (.f64 C C)))))) (/.f64 (sqrt.f64 2) B))
(.f64 (sqrt.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))) (/.f64 (neg.f64 (sqrt.f64 2)) B))
(.f64 (sqrt.f64 (.f64 (.f64 A A) (.f64 (/.f64 F B) -1/2))) (neg.f64 (pow.f64 (/.f64 B (sqrt.f64 2)) -1)))
(.f64 (/.f64 (sqrt.f64 2) B) (sqrt.f64 (.f64 F (-.f64 A (sqrt.f64 (+.f64 (.f64 A A) (.f64 B B)))))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 F (pow.f64 B 3))))) (fma.f64 B B (.f64 A (.f64 C -4))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 -2 F) (pow.f64 B 3)))) (fma.f64 B B (.f64 A (.f64 C -4))))
(/.f64 (.f64 (sqrt.f64 (.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))) (neg.f64 (sqrt.f64 2))) B)
(.f64 (sqrt.f64 (.f64 F (-.f64 A (fma.f64 1/2 (*.f64 (/.f64 A B) A) B)))) (neg.f64 (/.f64 (sqrt.f64 2) B)))
(.f64 (/.f64 (neg.f64 (sqrt.f64 2)) B) (sqrt.f64 (.f64 F (-.f64 A (sqrt.f64 (+.f64 (.f64 B B) (.f64 A A)))))))
(.f64 (/.f64 (neg.f64 (sqrt.f64 2)) B) (sqrt.f64 (.f64 F (-.f64 C (sqrt.f64 (+.f64 (.f64 B B) (.f64 C C)))))))
(.f64 (/.f64 (sqrt.f64 2) B) (neg.f64 (sqrt.f64 (.f64 F (-.f64 C (fma.f64 1/2 (*.f64 (/.f64 C B) C) B))))))
(.f64 (sqrt.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))) (*.f64 (neg.f64 (sqrt.f64 2)) (/.f64 1 B)))
(.f64 (sqrt.f64 (.f64 F (-.f64 A (fma.f64 1/2 (*.f64 (/.f64 A B) A) B)))) (neg.f64 (sqrt.f64 (/.f64 (/.f64 2 B) B))))
(.f64 (sqrt.f64 (.f64 F (-.f64 A (fma.f64 1/2 (.f64 (/.f64 A B) A) B)))) (neg.f64 (.f64 (/.f64 1 B) (sqrt.f64 2))))
(.f64 (sqrt.f64 (.f64 F (fma.f64 -1/2 (/.f64 (.f64 B B) (-.f64 A C)) (.f64 2 C)))) (/.f64 (neg.f64 (sqrt.f64 2)) B))
(.f64 (sqrt.f64 (.f64 F (-.f64 A (fma.f64 1/2 (.f64 (/.f64 A B) A) B)))) (neg.f64 (/.f64 1 (.f64 B (pow.f64 2 -1/2)))))
(.f64 (sqrt.f64 (.f64 F (-.f64 A (fma.f64 1/2 (*.f64 (/.f64 A B) A) B)))) (neg.f64 (/.f64 (/.f64 1 B) (pow.f64 2 -1/2))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (-.f64 C (neg.f64 C)))) (.f64 (sqrt.f64 2) B))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
(.f64 (sqrt.f64 (.f64 F (-.f64 A (sqrt.f64 (+.f64 (.f64 A A) (.f64 B B)))))) (.f64 1/4 (.f64 (/.f64 (sqrt.f64 2) (*.f64 A C)) B)))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))) (.f64 (sqrt.f64 2) B))) (.f64 A (*.f64 C -4)))
(.f64 (sqrt.f64 (.f64 2 (.f64 F (+.f64 C (-.f64 A (hypot.f64 B (-.f64 A C))))))) (/.f64 B (fma.f64 B B (.f64 A (*.f64 C -4)))))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (.f64 F (-.f64 (+.f64 C A) (hypot.f64 B (-.f64 A C)))))) (fma.f64 B B (.f64 A (*.f64 C -4)))) B)
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) (.f64 F B))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 F (+.f64 (pow.f64 B 3) (.f64 (.f64 B B) (+.f64 A C))))))) (fma.f64 B B (.f64 A (.f64 -4 C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 F (-.f64 (+.f64 C A) (hypot.f64 B (-.f64 A C))))))) (/.f64 (fma.f64 B B (.f64 A (.f64 C -4))) B))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) (.f64 F (neg.f64 B)))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (fabs.f64 (.f64 F (.f64 C (fma.f64 B B (.f64 -4 (.f64 A C))))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) (.f64 F (.f64 2 C)))))) (fma.f64 B B (.f64 A (.f64 -4 C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (+.f64 A A) (.f64 2 F))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 C) (sqrt.f64 (.f64 F (.f64 (fma.f64 B B (.f64 -4 (.f64 A C))) 2))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(.f64 (.f64 B (sqrt.f64 (.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))) 2))) (/.f64 1 (neg.f64 (fma.f64 B B (.f64 A (.f64 C -4))))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (+.f64 A (neg.f64 A)) (.f64 2 F))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (-.f64 C (sqrt.f64 (+.f64 (.f64 B B) (.f64 C C)))) (.f64 F (.f64 B B)))))) (fma.f64 B B (.f64 A (.f64 C -4))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (-.f64 A (sqrt.f64 (+.f64 (.f64 B B) (.f64 A A)))))) (.f64 B (sqrt.f64 2)))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (-.f64 A (fma.f64 1/2 (/.f64 (.f64 A A) B) B)))) (.f64 B (sqrt.f64 2)))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (-.f64 C (sqrt.f64 (+.f64 (.f64 B B) (.f64 C C)))))) (.f64 B (sqrt.f64 2)))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(.f64 (sqrt.f64 (.f64 F (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 A A) (-.f64 (*.f64 B B) (pow.f64 (neg.f64 A) 2))) C)) (-.f64 A (neg.f64 A))))) (/.f64 (neg.f64 (sqrt.f64 2)) B))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (+.f64 A (+.f64 A (.f64 1/2 (/.f64 (.f64 B B) A)))) (.f64 2 F))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 -4 (.f64 (.f64 A C) F)) (+.f64 A (-.f64 C (sqrt.f64 (+.f64 (.f64 B B) (pow.f64 (-.f64 A C) 2))))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 -16 (.f64 A (.f64 F (.f64 C C))) (.f64 (.f64 2 F) (.f64 (.f64 B B) (.f64 2 (+.f64 (/.f64 (.f64 A C) (-.f64 A C)) C))))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (sqrt.f64 (+.f64 (.f64 B B) (pow.f64 (-.f64 A C) 2))))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 C (.f64 A 4))) F) (+.f64 (+.f64 A (-.f64 C A)) (+.f64 C (.f64 -1/2 (/.f64 (fma.f64 B B (-.f64 (.f64 C C) (pow.f64 (neg.f64 C) 2))) A)))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (cbrt.f64 (.f64 C F)) (/.f64 (/.f64 B (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 (.f64 C F)))))
(.f64 (cbrt.f64 (pow.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))) 3/2)) (/.f64 (neg.f64 (sqrt.f64 2)) B))
(.f64 (cbrt.f64 (pow.f64 (.f64 F (-.f64 A (fma.f64 1/2 (/.f64 A (/.f64 B A)) B))) 3/2)) (neg.f64 (/.f64 (sqrt.f64 2) B)))
(.f64 (sqrt.f64 (.f64 F (-.f64 A (fma.f64 1/2 (*.f64 (/.f64 A B) A) B)))) (neg.f64 (pow.f64 (/.f64 B (sqrt.f64 2)) -1)))
(.f64 (pow.f64 (pow.f64 (.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))) 1/4) 2) (/.f64 (neg.f64 (sqrt.f64 2)) B))
(.f64 B (.f64 (sqrt.f64 (.f64 F (-.f64 A (hypot.f64 B A)))) (/.f64 (sqrt.f64 2) (fma.f64 B B (.f64 A (*.f64 C -4))))))
(.f64 (exp.f64 (.f64 (log.f64 (.f64 F (-.f64 A (fma.f64 1/2 (.f64 A (/.f64 A B)) B)))) 1/2)) (neg.f64 (/.f64 (sqrt.f64 2) B)))
(.f64 (.f64 B (sqrt.f64 2)) (/.f64 (sqrt.f64 (.f64 F (-.f64 A (hypot.f64 B A)))) (fma.f64 B B (.f64 A (*.f64 C -4)))))
(.f64 (pow.f64 (pow.f64 (.f64 F (-.f64 A (fma.f64 1/2 (*.f64 A (/.f64 A B)) B))) 1/4) 2) (neg.f64 (/.f64 (sqrt.f64 2) B)))
(.f64 (pow.f64 (pow.f64 (.f64 F (-.f64 A (fma.f64 1/2 (*.f64 A (/.f64 A B)) B))) 3/2) 1/3) (neg.f64 (/.f64 (sqrt.f64 2) B)))
(/.f64 (neg.f64 (sqrt.f64 (.f64 F (-.f64 A (hypot.f64 B A))))) (/.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 B (sqrt.f64 2))))
(/.f64 (.f64 (sqrt.f64 2) (.f64 B (sqrt.f64 (.f64 F (-.f64 A (hypot.f64 B A)))))) (neg.f64 (fma.f64 B B (.f64 A (*.f64 C -4)))))
(.f64 (sqrt.f64 (.f64 F (-.f64 A (-.f64 (+.f64 (.f64 1/2 (.f64 A (/.f64 A B))) (exp.f64 (log1p.f64 B))) 1)))) (neg.f64 (/.f64 (sqrt.f64 2) B)))
(.f64 (sqrt.f64 (.f64 F (-.f64 A (fma.f64 1/2 (.f64 (/.f64 A B) A) B)))) (neg.f64 (.f64 (/.f64 (pow.f64 2 1/4) B) (pow.f64 2 1/4))))
(.f64 (/.f64 1 (fma.f64 B B (.f64 (.f64 A C) -4))) (.f64 B (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 F (-.f64 A (hypot.f64 B A)))))))
(.f64 (/.f64 (sqrt.f64 (.f64 F (-.f64 A (hypot.f64 B A)))) (/.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) (*.f64 B (sqrt.f64 2)))) 1)
(/.f64 1 (/.f64 (hypot.f64 B (sqrt.f64 (.f64 A (.f64 C -4)))) (sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 2 F)))))
(/.f64 (neg.f64 (.f64 (exp.f64 (.f64 (log.f64 (.f64 F (-.f64 A (hypot.f64 B A)))) 1/2)) (.f64 B (sqrt.f64 2)))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))) (.f64 (sqrt.f64 2) B))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
(/.f64 (neg.f64 (.f64 (pow.f64 (pow.f64 (.f64 F (-.f64 A (hypot.f64 B A))) 3/2) 1/3) (.f64 B (sqrt.f64 2)))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(.f64 (sqrt.f64 (.f64 F B)) (.f64 (neg.f64 (sqrt.f64 (.f64 2 (fma.f64 B B (.f64 A (.f64 C -4)))))) (/.f64 1 (fma.f64 B B (.f64 A (.f64 C -4))))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (+.f64 A A))) (sqrt.f64 (.f64 2 (fma.f64 B B (.f64 A (.f64 C -4))))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (+.f64 A B))) (sqrt.f64 (.f64 2 (fma.f64 B B (.f64 A (.f64 C -4))))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))) (neg.f64 (.f64 (sqrt.f64 2) B)))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (-.f64 C (neg.f64 C)))) (sqrt.f64 (.f64 2 (fma.f64 B B (.f64 A (.f64 C -4))))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
(.f64 (sqrt.f64 (.f64 F (+.f64 A A))) (.f64 (neg.f64 (sqrt.f64 (.f64 2 (fma.f64 B B (.f64 A (.f64 C -4)))))) (/.f64 1 (fma.f64 B B (.f64 A (.f64 C -4))))))
(.f64 (sqrt.f64 (.f64 F (+.f64 C C))) (.f64 (neg.f64 (sqrt.f64 (.f64 2 (fma.f64 B B (.f64 A (.f64 C -4)))))) (/.f64 1 (fma.f64 B B (.f64 A (.f64 C -4))))))

Outputs
(.f64 (sqrt.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))) (/.f64 (sqrt.f64 2) B))
(sqrt.f64 (neg.f64 (/.f64 F A)))
(.f64 (sqrt.f64 (.f64 F (+.f64 A A))) (.f64 (neg.f64 (sqrt.f64 (.f64 2 (fma.f64 B B (.f64 A (.f64 C -4)))))) (/.f64 1 (fma.f64 B B (.f64 A (.f64 C -4))))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 -4 (.f64 (.f64 A C) (.f64 F (-.f64 C (neg.f64 C)))))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
(.f64 (sqrt.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))) (/.f64 (neg.f64 (sqrt.f64 2)) B))

Calls

4 calls:

646.0ms	F
489.0ms	C
437.0ms	B
353.0ms	A

Results

Error	Segments	Branch
42.5b	5	`A`
35.7b	5	`B`
44.2b	7	`C`
42.4b	9	`F`

Compiler

Compiled 3394 to 1713 computations (49.5% saved)

bsearch246.0ms (0.5%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
56.0ms	1.1865778968465492e-114	1.5027263506561926e-109
64.0ms	9.443895000925238e-140	2.607207285643919e-122
54.0ms	6.132109345317609e-291	1.6697172684688533e-286
69.0ms	-1.8871786265736926e-129	-7.375991346490778e-136

Results

85.0ms	366×	body	256	valid
57.0ms	95×	body	1024	valid
54.0ms	67×	body	2048	valid
20.0ms	48×	body	512	valid
15.0ms	74×	body	256	invalid

Compiler

Compiled 1826 to 1284 computations (29.7% saved)

regimes2.2s (4.5%)

Counts

153 → 5

Calls

Call 1

Inputs
(sqrt.f64 (/.f64 F A))
(sqrt.f64 (neg.f64 (/.f64 F A)))
(sqrt.f64 (neg.f64 (/.f64 F C)))
(sqrt.f64 (*.f64 2 (/.f64 F B)))
(sqrt.f64 (/.f64 (*.f64 -2 F) B))
(/.f64 1 (sqrt.f64 (/.f64 A F)))
(.f64 (sqrt.f64 (.f64 C F)) (/.f64 -2 B))
(-.f64 (+.f64 1 (sqrt.f64 (/.f64 F A))) 1)
(/.f64 (sqrt.f64 (.f64 C (.f64 F 2))) B)
(sqrt.f64 (*.f64 (/.f64 2 B) (/.f64 C (/.f64 B F))))
(/.f64 1 (/.f64 B (sqrt.f64 (.f64 (.f64 C F) 2))))
(sqrt.f64 (.f64 -1/2 (/.f64 (-.f64 A (neg.f64 A)) (/.f64 (.f64 A C) F))))
(sqrt.f64 (.f64 -1/2 (/.f64 (-.f64 C (neg.f64 C)) (/.f64 (.f64 A C) F))))
(sqrt.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 A (.f64 -1 A)) F) (.f64 A C))))
(sqrt.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 C (.f64 -1 C)) F) (.f64 A C))))
(sqrt.f64 (.f64 2 (+.f64 (/.f64 F (/.f64 (.f64 B B) (+.f64 A C))) (/.f64 F B))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 C (.f64 F (.f64 B B)))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 F (.f64 C (.f64 B B)))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 -4 (.f64 A (.f64 (.f64 C C) F)))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 A (.f64 -4 (.f64 C (.f64 C F))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 B (.f64 B F)) (+.f64 A (-.f64 C A)))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 -4 (.f64 (.f64 A C) F)) (+.f64 A (-.f64 C A)))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C A)))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C B)))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C C)))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (neg.f64 A))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (neg.f64 B))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (neg.f64 C))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 B (.f64 B F)) (+.f64 A (-.f64 C (+.f64 (-.f64 A C) (.f64 -1/2 (/.f64 (.f64 B B) C))))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 -4 (.f64 (.f64 A C) F)) (+.f64 A (-.f64 C (+.f64 (-.f64 A C) (.f64 -1/2 (/.f64 (.f64 B B) C))))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (+.f64 (.f64 1/2 (/.f64 (.f64 C C) B)) B))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (+.f64 (-.f64 A C) (.f64 -1/2 (/.f64 (.f64 B B) C))))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (+.f64 (-.f64 A C) (.f64 1/2 (/.f64 (.f64 B B) A))))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (sqrt.f64 (neg.f64 F)) (sqrt.f64 A))
(pow.f64 (cbrt.f64 (/.f64 F A)) 3/2)
(pow.f64 (pow.f64 (/.f64 F A) 3/2) 1/3)
(.f64 (/.f64 (sqrt.f64 2) B) (sqrt.f64 (.f64 C F)))
(/.f64 (sqrt.f64 2) (/.f64 B (sqrt.f64 (*.f64 C F))))
(/.f64 (sqrt.f64 (*.f64 C F)) (/.f64 B (sqrt.f64 2)))
(.f64 (/.f64 (sqrt.f64 2) B) (neg.f64 (sqrt.f64 (.f64 C F))))
(/.f64 (.f64 (sqrt.f64 (.f64 C F)) (pow.f64 2 1/2)) B)
(.f64 (sqrt.f64 (.f64 F (neg.f64 B))) (neg.f64 (/.f64 (sqrt.f64 2) B)))
(.f64 (sqrt.f64 (.f64 F (neg.f64 B))) (/.f64 (neg.f64 (sqrt.f64 2)) B))
(.f64 (.f64 (/.f64 1 B) (sqrt.f64 2)) (sqrt.f64 (*.f64 C F)))
(/.f64 (/.f64 (sqrt.f64 (*.f64 C F)) B) (/.f64 1 (sqrt.f64 2)))
(.f64 (sqrt.f64 (.f64 F (+.f64 A A))) (/.f64 (neg.f64 (sqrt.f64 2)) B))
(.f64 (sqrt.f64 (.f64 F (+.f64 C C))) (/.f64 (neg.f64 (sqrt.f64 2)) B))
(.f64 (sqrt.f64 (.f64 F (-.f64 A B))) (neg.f64 (/.f64 (sqrt.f64 2) B)))
(.f64 (sqrt.f64 (.f64 F (+.f64 (+.f64 A C) (neg.f64 B)))) (/.f64 (neg.f64 (sqrt.f64 2)) B))
(.f64 (sqrt.f64 (.f64 -1/2 (.f64 (.f64 A (/.f64 A B)) F))) (neg.f64 (/.f64 (sqrt.f64 2) B)))
(.f64 (sqrt.f64 (.f64 -1/2 (/.f64 (*.f64 A A) (/.f64 B F)))) (neg.f64 (/.f64 (sqrt.f64 2) B)))
(.f64 1/4 (.f64 (.f64 (/.f64 (sqrt.f64 2) A) (/.f64 B C)) (sqrt.f64 (.f64 F (-.f64 A (neg.f64 A))))))
(.f64 (sqrt.f64 (.f64 F (-.f64 A (.f64 (/.f64 A B) (.f64 1/2 A))))) (neg.f64 (/.f64 (sqrt.f64 2) B)))
(sqrt.f64 (.f64 2 (/.f64 (-.f64 C (sqrt.f64 (+.f64 (.f64 B B) (.f64 C C)))) (/.f64 (.f64 B B) F))))
(.f64 1/4 (.f64 (/.f64 (.f64 (sqrt.f64 2) B) (.f64 A C)) (sqrt.f64 (.f64 (-.f64 A (.f64 -1 A)) F))))
(.f64 1/4 (.f64 (/.f64 (.f64 (sqrt.f64 2) B) (.f64 A C)) (sqrt.f64 (.f64 (-.f64 C (.f64 -1 C)) F))))
(neg.f64 (.f64 (/.f64 (sqrt.f64 2) B) (sqrt.f64 (.f64 F (+.f64 (.f64 2 C) (.f64 1/2 (/.f64 B (/.f64 C B))))))))
(.f64 (sqrt.f64 (.f64 F (-.f64 A (+.f64 (.f64 1/2 (.f64 A (/.f64 A B))) B)))) (neg.f64 (/.f64 (sqrt.f64 2) B)))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 -16 A) (.f64 F (.f64 C C))))) (fma.f64 B B (.f64 A (.f64 C -4))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 -16 (.f64 A A)) (.f64 F C)))) (fma.f64 B B (.f64 A (.f64 C -4))))
(/.f64 (neg.f64 (.f64 B (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 C F))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (.f64 (.f64 B (sqrt.f64 2)) (neg.f64 (sqrt.f64 (.f64 C F))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 -8 (.f64 A (.f64 F (.f64 C C))))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (-.f64 A A))) (.f64 B (sqrt.f64 2)))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (-.f64 A B))) (.f64 B (sqrt.f64 2)))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 -8 A) (.f64 (.f64 F C) (-.f64 A (neg.f64 A)))))) (fma.f64 B B (.f64 A (.f64 C -4))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 -8 A) (.f64 (.f64 F C) (-.f64 C (neg.f64 C)))))) (fma.f64 B B (.f64 A (.f64 C -4))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (-.f64 A (neg.f64 A)))) (.f64 B (sqrt.f64 2)))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 -4 (.f64 (.f64 A C) (.f64 F (-.f64 C (neg.f64 C)))))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (+.f64 (.f64 2 C) (.f64 1/2 (/.f64 B (/.f64 C B)))))) (.f64 (sqrt.f64 2) B))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 F (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (+.f64 A (+.f64 (+.f64 C (-.f64 C A)) (.f64 1/2 (/.f64 B (/.f64 C B)))))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (+.f64 (.f64 1/2 (/.f64 B (/.f64 C B))) (+.f64 (+.f64 A C) (-.f64 C A)))) (.f64 2 F)))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (+.f64 C (fma.f64 -1/2 (/.f64 (.f64 B B) A) (neg.f64 A))))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (+.f64 (.f64 1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B)) B))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B)) (.f64 -1 B)))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (+.f64 (-.f64 A C) (.f64 1/2 (/.f64 (+.f64 (.f64 B B) (-.f64 (.f64 C C) (pow.f64 (neg.f64 C) 2))) A))))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(neg.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) (sqrt.f64 (/.f64 F C)))))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 1/2)) (neg.f64 (sqrt.f64 (/.f64 F C))))
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 (.f64 C F) 2)) B)) 3)
(neg.f64 (.f64 (/.f64 (pow.f64 (sqrt.f64 2) 2) B) (sqrt.f64 (.f64 C F))))
(.f64 (/.f64 (sqrt.f64 2) B) (pow.f64 (pow.f64 (.f64 C F) 3/2) 1/3))
(.f64 (sqrt.f64 (.f64 F (neg.f64 B))) (neg.f64 (pow.f64 (/.f64 B (sqrt.f64 2)) -1)))
(.f64 (/.f64 (sqrt.f64 2) B) (neg.f64 (sqrt.f64 (.f64 F (-.f64 A (hypot.f64 B A))))))
(.f64 (.f64 1/4 (/.f64 (pow.f64 (sqrt.f64 2) 2) (/.f64 A B))) (sqrt.f64 (/.f64 F C)))
(/.f64 (pow.f64 (.f64 C F) 1/4) (/.f64 (/.f64 B (sqrt.f64 2)) (pow.f64 (.f64 C F) 1/4)))
(.f64 (sqrt.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))) (/.f64 (sqrt.f64 2) B))
(.f64 (sqrt.f64 (.f64 F (-.f64 C (sqrt.f64 (+.f64 (.f64 B B) (.f64 C C)))))) (/.f64 (sqrt.f64 2) B))
(.f64 (sqrt.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))) (/.f64 (neg.f64 (sqrt.f64 2)) B))
(.f64 (sqrt.f64 (.f64 (.f64 A A) (.f64 (/.f64 F B) -1/2))) (neg.f64 (pow.f64 (/.f64 B (sqrt.f64 2)) -1)))
(.f64 (/.f64 (sqrt.f64 2) B) (sqrt.f64 (.f64 F (-.f64 A (sqrt.f64 (+.f64 (.f64 A A) (.f64 B B)))))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 F (pow.f64 B 3))))) (fma.f64 B B (.f64 A (.f64 C -4))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 -2 F) (pow.f64 B 3)))) (fma.f64 B B (.f64 A (.f64 C -4))))
(/.f64 (.f64 (sqrt.f64 (.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))) (neg.f64 (sqrt.f64 2))) B)
(.f64 (sqrt.f64 (.f64 F (-.f64 A (fma.f64 1/2 (*.f64 (/.f64 A B) A) B)))) (neg.f64 (/.f64 (sqrt.f64 2) B)))
(.f64 (/.f64 (neg.f64 (sqrt.f64 2)) B) (sqrt.f64 (.f64 F (-.f64 A (sqrt.f64 (+.f64 (.f64 B B) (.f64 A A)))))))
(.f64 (/.f64 (neg.f64 (sqrt.f64 2)) B) (sqrt.f64 (.f64 F (-.f64 C (sqrt.f64 (+.f64 (.f64 B B) (.f64 C C)))))))
(.f64 (/.f64 (sqrt.f64 2) B) (neg.f64 (sqrt.f64 (.f64 F (-.f64 C (fma.f64 1/2 (*.f64 (/.f64 C B) C) B))))))
(.f64 (sqrt.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))) (*.f64 (neg.f64 (sqrt.f64 2)) (/.f64 1 B)))
(.f64 (sqrt.f64 (.f64 F (-.f64 A (fma.f64 1/2 (*.f64 (/.f64 A B) A) B)))) (neg.f64 (sqrt.f64 (/.f64 (/.f64 2 B) B))))
(.f64 (sqrt.f64 (.f64 F (-.f64 A (fma.f64 1/2 (.f64 (/.f64 A B) A) B)))) (neg.f64 (.f64 (/.f64 1 B) (sqrt.f64 2))))
(.f64 (sqrt.f64 (.f64 F (fma.f64 -1/2 (/.f64 (.f64 B B) (-.f64 A C)) (.f64 2 C)))) (/.f64 (neg.f64 (sqrt.f64 2)) B))
(.f64 (sqrt.f64 (.f64 F (-.f64 A (fma.f64 1/2 (.f64 (/.f64 A B) A) B)))) (neg.f64 (/.f64 1 (.f64 B (pow.f64 2 -1/2)))))
(.f64 (sqrt.f64 (.f64 F (-.f64 A (fma.f64 1/2 (*.f64 (/.f64 A B) A) B)))) (neg.f64 (/.f64 (/.f64 1 B) (pow.f64 2 -1/2))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (-.f64 C (neg.f64 C)))) (.f64 (sqrt.f64 2) B))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
(.f64 (sqrt.f64 (.f64 F (-.f64 A (sqrt.f64 (+.f64 (.f64 A A) (.f64 B B)))))) (.f64 1/4 (.f64 (/.f64 (sqrt.f64 2) (*.f64 A C)) B)))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))) (.f64 (sqrt.f64 2) B))) (.f64 A (*.f64 C -4)))
(.f64 (sqrt.f64 (.f64 2 (.f64 F (+.f64 C (-.f64 A (hypot.f64 B (-.f64 A C))))))) (/.f64 B (fma.f64 B B (.f64 A (*.f64 C -4)))))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (.f64 F (-.f64 (+.f64 C A) (hypot.f64 B (-.f64 A C)))))) (fma.f64 B B (.f64 A (*.f64 C -4)))) B)
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) (.f64 F B))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 F (+.f64 (pow.f64 B 3) (.f64 (.f64 B B) (+.f64 A C))))))) (fma.f64 B B (.f64 A (.f64 -4 C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 F (-.f64 (+.f64 C A) (hypot.f64 B (-.f64 A C))))))) (/.f64 (fma.f64 B B (.f64 A (.f64 C -4))) B))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) (.f64 F (neg.f64 B)))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (fabs.f64 (.f64 F (.f64 C (fma.f64 B B (.f64 -4 (.f64 A C))))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) (.f64 F (.f64 2 C)))))) (fma.f64 B B (.f64 A (.f64 -4 C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (+.f64 A A) (.f64 2 F))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 C) (sqrt.f64 (.f64 F (.f64 (fma.f64 B B (.f64 -4 (.f64 A C))) 2))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(.f64 (.f64 B (sqrt.f64 (.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))) 2))) (/.f64 1 (neg.f64 (fma.f64 B B (.f64 A (.f64 C -4))))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (+.f64 A (neg.f64 A)) (.f64 2 F))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (-.f64 C (sqrt.f64 (+.f64 (.f64 B B) (.f64 C C)))) (.f64 F (.f64 B B)))))) (fma.f64 B B (.f64 A (.f64 C -4))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (-.f64 A (sqrt.f64 (+.f64 (.f64 B B) (.f64 A A)))))) (.f64 B (sqrt.f64 2)))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (-.f64 A (fma.f64 1/2 (/.f64 (.f64 A A) B) B)))) (.f64 B (sqrt.f64 2)))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (-.f64 C (sqrt.f64 (+.f64 (.f64 B B) (.f64 C C)))))) (.f64 B (sqrt.f64 2)))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(.f64 (sqrt.f64 (.f64 F (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 A A) (-.f64 (*.f64 B B) (pow.f64 (neg.f64 A) 2))) C)) (-.f64 A (neg.f64 A))))) (/.f64 (neg.f64 (sqrt.f64 2)) B))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (+.f64 A (+.f64 A (.f64 1/2 (/.f64 (.f64 B B) A)))) (.f64 2 F))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 -4 (.f64 (.f64 A C) F)) (+.f64 A (-.f64 C (sqrt.f64 (+.f64 (.f64 B B) (pow.f64 (-.f64 A C) 2))))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 -16 (.f64 A (.f64 F (.f64 C C))) (.f64 (.f64 2 F) (.f64 (.f64 B B) (.f64 2 (+.f64 (/.f64 (.f64 A C) (-.f64 A C)) C))))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (sqrt.f64 (+.f64 (.f64 B B) (pow.f64 (-.f64 A C) 2))))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 C (.f64 A 4))) F) (+.f64 (+.f64 A (-.f64 C A)) (+.f64 C (.f64 -1/2 (/.f64 (fma.f64 B B (-.f64 (.f64 C C) (pow.f64 (neg.f64 C) 2))) A)))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (cbrt.f64 (.f64 C F)) (/.f64 (/.f64 B (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 (.f64 C F)))))
(.f64 (cbrt.f64 (pow.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))) 3/2)) (/.f64 (neg.f64 (sqrt.f64 2)) B))
(.f64 (cbrt.f64 (pow.f64 (.f64 F (-.f64 A (fma.f64 1/2 (/.f64 A (/.f64 B A)) B))) 3/2)) (neg.f64 (/.f64 (sqrt.f64 2) B)))
(.f64 (sqrt.f64 (.f64 F (-.f64 A (fma.f64 1/2 (*.f64 (/.f64 A B) A) B)))) (neg.f64 (pow.f64 (/.f64 B (sqrt.f64 2)) -1)))
(.f64 (pow.f64 (pow.f64 (.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))) 1/4) 2) (/.f64 (neg.f64 (sqrt.f64 2)) B))
(.f64 B (.f64 (sqrt.f64 (.f64 F (-.f64 A (hypot.f64 B A)))) (/.f64 (sqrt.f64 2) (fma.f64 B B (.f64 A (*.f64 C -4))))))
(.f64 (exp.f64 (.f64 (log.f64 (.f64 F (-.f64 A (fma.f64 1/2 (.f64 A (/.f64 A B)) B)))) 1/2)) (neg.f64 (/.f64 (sqrt.f64 2) B)))
(.f64 (.f64 B (sqrt.f64 2)) (/.f64 (sqrt.f64 (.f64 F (-.f64 A (hypot.f64 B A)))) (fma.f64 B B (.f64 A (*.f64 C -4)))))
(.f64 (pow.f64 (pow.f64 (.f64 F (-.f64 A (fma.f64 1/2 (*.f64 A (/.f64 A B)) B))) 1/4) 2) (neg.f64 (/.f64 (sqrt.f64 2) B)))
(.f64 (pow.f64 (pow.f64 (.f64 F (-.f64 A (fma.f64 1/2 (*.f64 A (/.f64 A B)) B))) 3/2) 1/3) (neg.f64 (/.f64 (sqrt.f64 2) B)))
(/.f64 (neg.f64 (sqrt.f64 (.f64 F (-.f64 A (hypot.f64 B A))))) (/.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 B (sqrt.f64 2))))
(/.f64 (.f64 (sqrt.f64 2) (.f64 B (sqrt.f64 (.f64 F (-.f64 A (hypot.f64 B A)))))) (neg.f64 (fma.f64 B B (.f64 A (*.f64 C -4)))))
(.f64 (sqrt.f64 (.f64 F (-.f64 A (-.f64 (+.f64 (.f64 1/2 (.f64 A (/.f64 A B))) (exp.f64 (log1p.f64 B))) 1)))) (neg.f64 (/.f64 (sqrt.f64 2) B)))
(.f64 (sqrt.f64 (.f64 F (-.f64 A (fma.f64 1/2 (.f64 (/.f64 A B) A) B)))) (neg.f64 (.f64 (/.f64 (pow.f64 2 1/4) B) (pow.f64 2 1/4))))
(.f64 (/.f64 1 (fma.f64 B B (.f64 (.f64 A C) -4))) (.f64 B (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 F (-.f64 A (hypot.f64 B A)))))))
(.f64 (/.f64 (sqrt.f64 (.f64 F (-.f64 A (hypot.f64 B A)))) (/.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) (*.f64 B (sqrt.f64 2)))) 1)
(/.f64 1 (/.f64 (hypot.f64 B (sqrt.f64 (.f64 A (.f64 C -4)))) (sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 2 F)))))
(/.f64 (neg.f64 (.f64 (exp.f64 (.f64 (log.f64 (.f64 F (-.f64 A (hypot.f64 B A)))) 1/2)) (.f64 B (sqrt.f64 2)))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))) (.f64 (sqrt.f64 2) B))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
(/.f64 (neg.f64 (.f64 (pow.f64 (pow.f64 (.f64 F (-.f64 A (hypot.f64 B A))) 3/2) 1/3) (.f64 B (sqrt.f64 2)))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(.f64 (sqrt.f64 (.f64 F B)) (.f64 (neg.f64 (sqrt.f64 (.f64 2 (fma.f64 B B (.f64 A (.f64 C -4)))))) (/.f64 1 (fma.f64 B B (.f64 A (.f64 C -4))))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (+.f64 A A))) (sqrt.f64 (.f64 2 (fma.f64 B B (.f64 A (.f64 C -4))))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (+.f64 A B))) (sqrt.f64 (.f64 2 (fma.f64 B B (.f64 A (.f64 C -4))))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))) (neg.f64 (.f64 (sqrt.f64 2) B)))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (-.f64 C (neg.f64 C)))) (sqrt.f64 (.f64 2 (fma.f64 B B (.f64 A (.f64 C -4))))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))

Outputs
(.f64 (sqrt.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))) (/.f64 (sqrt.f64 2) B))
(sqrt.f64 (neg.f64 (/.f64 F A)))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (+.f64 A A))) (sqrt.f64 (.f64 2 (fma.f64 B B (.f64 A (.f64 C -4))))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 -4 (.f64 (.f64 A C) (.f64 F (-.f64 C (neg.f64 C)))))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
(.f64 (sqrt.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))) (/.f64 (neg.f64 (sqrt.f64 2)) B))

Calls

4 calls:

643.0ms	B
593.0ms	F
461.0ms	C
436.0ms	A

Results

Error	Segments	Branch
42.5b	5	`A`
35.7b	5	`B`
44.2b	7	`C`
42.4b	9	`F`

Compiler

Compiled 3334 to 1681 computations (49.6% saved)

bsearch359.0ms (0.7%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
90.0ms	1.1865778968465492e-114	1.5027263506561926e-109
67.0ms	9.443895000925238e-140	2.607207285643919e-122
116.0ms	6.132109345317609e-291	1.6697172684688533e-286
83.0ms	-1.8871786265736926e-129	-7.375991346490778e-136

Results

122.0ms	75×	body	2048	valid
106.0ms	337×	body	256	valid
70.0ms	112×	body	1024	valid
32.0ms	52×	body	512	valid
17.0ms	71×	body	256	invalid

Compiler

Compiled 1790 to 1248 computations (30.3% saved)

regimes2.2s (4.5%)

Counts

149 → 3

Calls

Call 1

Inputs
(sqrt.f64 (/.f64 F A))
(sqrt.f64 (neg.f64 (/.f64 F A)))
(sqrt.f64 (neg.f64 (/.f64 F C)))
(sqrt.f64 (*.f64 2 (/.f64 F B)))
(sqrt.f64 (/.f64 (*.f64 -2 F) B))
(/.f64 1 (sqrt.f64 (/.f64 A F)))
(.f64 (sqrt.f64 (.f64 C F)) (/.f64 -2 B))
(-.f64 (+.f64 1 (sqrt.f64 (/.f64 F A))) 1)
(/.f64 (sqrt.f64 (.f64 C (.f64 F 2))) B)
(sqrt.f64 (*.f64 (/.f64 2 B) (/.f64 C (/.f64 B F))))
(/.f64 1 (/.f64 B (sqrt.f64 (.f64 (.f64 C F) 2))))
(sqrt.f64 (.f64 -1/2 (/.f64 (-.f64 A (neg.f64 A)) (/.f64 (.f64 A C) F))))
(sqrt.f64 (.f64 -1/2 (/.f64 (-.f64 C (neg.f64 C)) (/.f64 (.f64 A C) F))))
(sqrt.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 A (.f64 -1 A)) F) (.f64 A C))))
(sqrt.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 C (.f64 -1 C)) F) (.f64 A C))))
(sqrt.f64 (.f64 2 (+.f64 (/.f64 F (/.f64 (.f64 B B) (+.f64 A C))) (/.f64 F B))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 C (.f64 F (.f64 B B)))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 F (.f64 C (.f64 B B)))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
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(/.f64 (neg.f64 (sqrt.f64 (.f64 F (-.f64 A (hypot.f64 B A))))) (/.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 B (sqrt.f64 2))))
(/.f64 (.f64 (sqrt.f64 2) (.f64 B (sqrt.f64 (.f64 F (-.f64 A (hypot.f64 B A)))))) (neg.f64 (fma.f64 B B (.f64 A (*.f64 C -4)))))
(.f64 (sqrt.f64 (.f64 F (-.f64 A (-.f64 (+.f64 (.f64 1/2 (.f64 A (/.f64 A B))) (exp.f64 (log1p.f64 B))) 1)))) (neg.f64 (/.f64 (sqrt.f64 2) B)))
(.f64 (sqrt.f64 (.f64 F (-.f64 A (fma.f64 1/2 (.f64 (/.f64 A B) A) B)))) (neg.f64 (.f64 (/.f64 (pow.f64 2 1/4) B) (pow.f64 2 1/4))))
(.f64 (/.f64 1 (fma.f64 B B (.f64 (.f64 A C) -4))) (.f64 B (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 F (-.f64 A (hypot.f64 B A)))))))
(.f64 (/.f64 (sqrt.f64 (.f64 F (-.f64 A (hypot.f64 B A)))) (/.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) (*.f64 B (sqrt.f64 2)))) 1)
(/.f64 1 (/.f64 (hypot.f64 B (sqrt.f64 (.f64 A (.f64 C -4)))) (sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 2 F)))))
(/.f64 (neg.f64 (.f64 (exp.f64 (.f64 (log.f64 (.f64 F (-.f64 A (hypot.f64 B A)))) 1/2)) (.f64 B (sqrt.f64 2)))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))) (.f64 (sqrt.f64 2) B))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
(/.f64 (neg.f64 (.f64 (pow.f64 (pow.f64 (.f64 F (-.f64 A (hypot.f64 B A))) 3/2) 1/3) (.f64 B (sqrt.f64 2)))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(.f64 (sqrt.f64 (.f64 F B)) (.f64 (neg.f64 (sqrt.f64 (.f64 2 (fma.f64 B B (.f64 A (.f64 C -4)))))) (/.f64 1 (fma.f64 B B (.f64 A (.f64 C -4))))))

Outputs

(*.f64 (sqrt.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))) (/.f64 (sqrt.f64 2) B))

(sqrt.f64 (neg.f64 (/.f64 F A)))

(*.f64 (sqrt.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))) (/.f64 (neg.f64 (sqrt.f64 2)) B))

Calls

4 calls:

715.0ms	C
554.0ms	F
528.0ms	A
313.0ms	B

Results

Error	Segments	Branch
42.7b	5	`A`
36.9b	3	`B`
45.5b	5	`C`
43.4b	7	`F`

Compiler

Compiled 3221 to 1625 computations (49.5% saved)

bsearch225.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
95.0ms	1.1865778968465492e-114	1.5027263506561926e-109
128.0ms	-1.8871786265736926e-129	-7.375991346490778e-136

Results

89.0ms	181×	body	256	valid
78.0ms	51×	body	1024	valid
35.0ms	36×	body	2048	valid
8.0ms	20×	body	512	valid
7.0ms	31×	body	256	invalid

Compiler

Compiled 636 to 461 computations (27.5% saved)

regimes1.0s (2.1%)

Counts

87 → 3

Calls

Call 1

Inputs
(sqrt.f64 (/.f64 F A))
(sqrt.f64 (neg.f64 (/.f64 F A)))
(sqrt.f64 (neg.f64 (/.f64 F C)))
(sqrt.f64 (*.f64 2 (/.f64 F B)))
(sqrt.f64 (/.f64 (*.f64 -2 F) B))
(/.f64 1 (sqrt.f64 (/.f64 A F)))
(.f64 (sqrt.f64 (.f64 C F)) (/.f64 -2 B))
(-.f64 (+.f64 1 (sqrt.f64 (/.f64 F A))) 1)
(/.f64 (sqrt.f64 (.f64 C (.f64 F 2))) B)
(sqrt.f64 (*.f64 (/.f64 2 B) (/.f64 C (/.f64 B F))))
(/.f64 1 (/.f64 B (sqrt.f64 (.f64 (.f64 C F) 2))))
(sqrt.f64 (.f64 -1/2 (/.f64 (-.f64 A (neg.f64 A)) (/.f64 (.f64 A C) F))))
(sqrt.f64 (.f64 -1/2 (/.f64 (-.f64 C (neg.f64 C)) (/.f64 (.f64 A C) F))))
(sqrt.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 A (.f64 -1 A)) F) (.f64 A C))))
(sqrt.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 C (.f64 -1 C)) F) (.f64 A C))))
(sqrt.f64 (.f64 2 (+.f64 (/.f64 F (/.f64 (.f64 B B) (+.f64 A C))) (/.f64 F B))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 C (.f64 F (.f64 B B)))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 F (.f64 C (.f64 B B)))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 -4 (.f64 A (.f64 (.f64 C C) F)))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 A (.f64 -4 (.f64 C (.f64 C F))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 B (.f64 B F)) (+.f64 A (-.f64 C A)))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 -4 (.f64 (.f64 A C) F)) (+.f64 A (-.f64 C A)))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C A)))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C B)))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C C)))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (neg.f64 A))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (neg.f64 B))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (neg.f64 C))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 B (.f64 B F)) (+.f64 A (-.f64 C (+.f64 (-.f64 A C) (.f64 -1/2 (/.f64 (.f64 B B) C))))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 -4 (.f64 (.f64 A C) F)) (+.f64 A (-.f64 C (+.f64 (-.f64 A C) (.f64 -1/2 (/.f64 (.f64 B B) C))))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (+.f64 (.f64 1/2 (/.f64 (.f64 C C) B)) B))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (+.f64 (-.f64 A C) (.f64 -1/2 (/.f64 (.f64 B B) C))))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (+.f64 (-.f64 A C) (.f64 1/2 (/.f64 (.f64 B B) A))))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (sqrt.f64 (neg.f64 F)) (sqrt.f64 A))
(pow.f64 (cbrt.f64 (/.f64 F A)) 3/2)
(pow.f64 (pow.f64 (/.f64 F A) 3/2) 1/3)
(.f64 (/.f64 (sqrt.f64 2) B) (sqrt.f64 (.f64 C F)))
(/.f64 (sqrt.f64 2) (/.f64 B (sqrt.f64 (*.f64 C F))))
(/.f64 (sqrt.f64 (*.f64 C F)) (/.f64 B (sqrt.f64 2)))
(.f64 (/.f64 (sqrt.f64 2) B) (neg.f64 (sqrt.f64 (.f64 C F))))
(/.f64 (.f64 (sqrt.f64 (.f64 C F)) (pow.f64 2 1/2)) B)
(.f64 (sqrt.f64 (.f64 F (neg.f64 B))) (neg.f64 (/.f64 (sqrt.f64 2) B)))
(.f64 (sqrt.f64 (.f64 F (neg.f64 B))) (/.f64 (neg.f64 (sqrt.f64 2)) B))
(.f64 (.f64 (/.f64 1 B) (sqrt.f64 2)) (sqrt.f64 (*.f64 C F)))
(/.f64 (/.f64 (sqrt.f64 (*.f64 C F)) B) (/.f64 1 (sqrt.f64 2)))
(.f64 (sqrt.f64 (.f64 F (+.f64 A A))) (/.f64 (neg.f64 (sqrt.f64 2)) B))
(.f64 (sqrt.f64 (.f64 F (+.f64 C C))) (/.f64 (neg.f64 (sqrt.f64 2)) B))
(.f64 (sqrt.f64 (.f64 F (-.f64 A B))) (neg.f64 (/.f64 (sqrt.f64 2) B)))
(.f64 (sqrt.f64 (.f64 F (+.f64 (+.f64 A C) (neg.f64 B)))) (/.f64 (neg.f64 (sqrt.f64 2)) B))
(.f64 (sqrt.f64 (.f64 -1/2 (.f64 (.f64 A (/.f64 A B)) F))) (neg.f64 (/.f64 (sqrt.f64 2) B)))
(.f64 (sqrt.f64 (.f64 -1/2 (/.f64 (*.f64 A A) (/.f64 B F)))) (neg.f64 (/.f64 (sqrt.f64 2) B)))
(.f64 1/4 (.f64 (.f64 (/.f64 (sqrt.f64 2) A) (/.f64 B C)) (sqrt.f64 (.f64 F (-.f64 A (neg.f64 A))))))
(.f64 (sqrt.f64 (.f64 F (-.f64 A (.f64 (/.f64 A B) (.f64 1/2 A))))) (neg.f64 (/.f64 (sqrt.f64 2) B)))
(sqrt.f64 (.f64 2 (/.f64 (-.f64 C (sqrt.f64 (+.f64 (.f64 B B) (.f64 C C)))) (/.f64 (.f64 B B) F))))
(.f64 1/4 (.f64 (/.f64 (.f64 (sqrt.f64 2) B) (.f64 A C)) (sqrt.f64 (.f64 (-.f64 A (.f64 -1 A)) F))))
(.f64 1/4 (.f64 (/.f64 (.f64 (sqrt.f64 2) B) (.f64 A C)) (sqrt.f64 (.f64 (-.f64 C (.f64 -1 C)) F))))
(neg.f64 (.f64 (/.f64 (sqrt.f64 2) B) (sqrt.f64 (.f64 F (+.f64 (.f64 2 C) (.f64 1/2 (/.f64 B (/.f64 C B))))))))
(.f64 (sqrt.f64 (.f64 F (-.f64 A (+.f64 (.f64 1/2 (.f64 A (/.f64 A B))) B)))) (neg.f64 (/.f64 (sqrt.f64 2) B)))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 -16 A) (.f64 F (.f64 C C))))) (fma.f64 B B (.f64 A (.f64 C -4))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 -16 (.f64 A A)) (.f64 F C)))) (fma.f64 B B (.f64 A (.f64 C -4))))
(/.f64 (neg.f64 (.f64 B (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 C F))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (.f64 (.f64 B (sqrt.f64 2)) (neg.f64 (sqrt.f64 (.f64 C F))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 -8 (.f64 A (.f64 F (.f64 C C))))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (-.f64 A A))) (.f64 B (sqrt.f64 2)))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (-.f64 A B))) (.f64 B (sqrt.f64 2)))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 -8 A) (.f64 (.f64 F C) (-.f64 A (neg.f64 A)))))) (fma.f64 B B (.f64 A (.f64 C -4))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 -8 A) (.f64 (.f64 F C) (-.f64 C (neg.f64 C)))))) (fma.f64 B B (.f64 A (.f64 C -4))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (-.f64 A (neg.f64 A)))) (.f64 B (sqrt.f64 2)))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 -4 (.f64 (.f64 A C) (.f64 F (-.f64 C (neg.f64 C)))))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (+.f64 (.f64 2 C) (.f64 1/2 (/.f64 B (/.f64 C B)))))) (.f64 (sqrt.f64 2) B))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 F (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (+.f64 A (+.f64 (+.f64 C (-.f64 C A)) (.f64 1/2 (/.f64 B (/.f64 C B)))))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (+.f64 (.f64 1/2 (/.f64 B (/.f64 C B))) (+.f64 (+.f64 A C) (-.f64 C A)))) (.f64 2 F)))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (+.f64 C (fma.f64 -1/2 (/.f64 (.f64 B B) A) (neg.f64 A))))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (+.f64 (.f64 1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B)) B))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B)) (.f64 -1 B)))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (+.f64 (-.f64 A C) (.f64 1/2 (/.f64 (+.f64 (.f64 B B) (-.f64 (.f64 C C) (pow.f64 (neg.f64 C) 2))) A))))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(neg.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) (sqrt.f64 (/.f64 F C)))))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 1/2)) (neg.f64 (sqrt.f64 (/.f64 F C))))
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 (.f64 C F) 2)) B)) 3)
(neg.f64 (.f64 (/.f64 (pow.f64 (sqrt.f64 2) 2) B) (sqrt.f64 (.f64 C F))))
(.f64 (/.f64 (sqrt.f64 2) B) (pow.f64 (pow.f64 (.f64 C F) 3/2) 1/3))
(.f64 (sqrt.f64 (.f64 F (neg.f64 B))) (neg.f64 (pow.f64 (/.f64 B (sqrt.f64 2)) -1)))
(.f64 (/.f64 (sqrt.f64 2) B) (neg.f64 (sqrt.f64 (.f64 F (-.f64 A (hypot.f64 B A))))))
(.f64 (.f64 1/4 (/.f64 (pow.f64 (sqrt.f64 2) 2) (/.f64 A B))) (sqrt.f64 (/.f64 F C)))
(/.f64 (pow.f64 (.f64 C F) 1/4) (/.f64 (/.f64 B (sqrt.f64 2)) (pow.f64 (.f64 C F) 1/4)))
(.f64 (sqrt.f64 (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))) (/.f64 (sqrt.f64 2) B))
(.f64 (sqrt.f64 (.f64 F (-.f64 C (sqrt.f64 (+.f64 (.f64 B B) (.f64 C C)))))) (/.f64 (sqrt.f64 2) B))

Outputs

(*.f64 (sqrt.f64 (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))) (/.f64 (sqrt.f64 2) B))

(sqrt.f64 (neg.f64 (/.f64 F A)))

(*.f64 (/.f64 (sqrt.f64 2) B) (neg.f64 (sqrt.f64 (*.f64 F (-.f64 A (hypot.f64 B A))))))

Calls

4 calls:

307.0ms	F
278.0ms	A
204.0ms	C
164.0ms	B

Results

Error	Segments	Branch
44.2b	6	`A`
37.7b	3	`B`
45.8b	5	`C`
44.8b	6	`F`

Compiler

Compiled 1694 to 876 computations (48.3% saved)

bsearch154.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
82.0ms	1.1865778968465492e-114	1.5027263506561926e-109
71.0ms	-1.8871786265736926e-129	-7.375991346490778e-136

Results

56.0ms	30×	body	2048	valid
47.0ms	188×	body	256	valid
28.0ms	44×	body	1024	valid
11.0ms	26×	body	512	valid
7.0ms	31×	body	256	invalid

Compiler

Compiled 600 to 443 computations (26.2% saved)

regimes743.0ms (1.5%)

Counts

85 → 3

Calls

Call 1

Inputs
(sqrt.f64 (/.f64 F A))
(sqrt.f64 (neg.f64 (/.f64 F A)))
(sqrt.f64 (neg.f64 (/.f64 F C)))
(sqrt.f64 (*.f64 2 (/.f64 F B)))
(sqrt.f64 (/.f64 (*.f64 -2 F) B))
(/.f64 1 (sqrt.f64 (/.f64 A F)))
(.f64 (sqrt.f64 (.f64 C F)) (/.f64 -2 B))
(-.f64 (+.f64 1 (sqrt.f64 (/.f64 F A))) 1)
(/.f64 (sqrt.f64 (.f64 C (.f64 F 2))) B)
(sqrt.f64 (*.f64 (/.f64 2 B) (/.f64 C (/.f64 B F))))
(/.f64 1 (/.f64 B (sqrt.f64 (.f64 (.f64 C F) 2))))
(sqrt.f64 (.f64 -1/2 (/.f64 (-.f64 A (neg.f64 A)) (/.f64 (.f64 A C) F))))
(sqrt.f64 (.f64 -1/2 (/.f64 (-.f64 C (neg.f64 C)) (/.f64 (.f64 A C) F))))
(sqrt.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 A (.f64 -1 A)) F) (.f64 A C))))
(sqrt.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 C (.f64 -1 C)) F) (.f64 A C))))
(sqrt.f64 (.f64 2 (+.f64 (/.f64 F (/.f64 (.f64 B B) (+.f64 A C))) (/.f64 F B))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 C (.f64 F (.f64 B B)))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 F (.f64 C (.f64 B B)))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 -4 (.f64 A (.f64 (.f64 C C) F)))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 A (.f64 -4 (.f64 C (.f64 C F))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 B (.f64 B F)) (+.f64 A (-.f64 C A)))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 -4 (.f64 (.f64 A C) F)) (+.f64 A (-.f64 C A)))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C A)))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C B)))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C C)))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (neg.f64 A))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (neg.f64 B))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (neg.f64 C))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 B (.f64 B F)) (+.f64 A (-.f64 C (+.f64 (-.f64 A C) (.f64 -1/2 (/.f64 (.f64 B B) C))))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 -4 (.f64 (.f64 A C) F)) (+.f64 A (-.f64 C (+.f64 (-.f64 A C) (.f64 -1/2 (/.f64 (.f64 B B) C))))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (+.f64 (.f64 1/2 (/.f64 (.f64 C C) B)) B))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (+.f64 (-.f64 A C) (.f64 -1/2 (/.f64 (.f64 B B) C))))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (+.f64 (-.f64 A C) (.f64 1/2 (/.f64 (.f64 B B) A))))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (sqrt.f64 (neg.f64 F)) (sqrt.f64 A))
(pow.f64 (cbrt.f64 (/.f64 F A)) 3/2)
(pow.f64 (pow.f64 (/.f64 F A) 3/2) 1/3)
(.f64 (/.f64 (sqrt.f64 2) B) (sqrt.f64 (.f64 C F)))
(/.f64 (sqrt.f64 2) (/.f64 B (sqrt.f64 (*.f64 C F))))
(/.f64 (sqrt.f64 (*.f64 C F)) (/.f64 B (sqrt.f64 2)))
(.f64 (/.f64 (sqrt.f64 2) B) (neg.f64 (sqrt.f64 (.f64 C F))))
(/.f64 (.f64 (sqrt.f64 (.f64 C F)) (pow.f64 2 1/2)) B)
(.f64 (sqrt.f64 (.f64 F (neg.f64 B))) (neg.f64 (/.f64 (sqrt.f64 2) B)))
(.f64 (sqrt.f64 (.f64 F (neg.f64 B))) (/.f64 (neg.f64 (sqrt.f64 2)) B))
(.f64 (.f64 (/.f64 1 B) (sqrt.f64 2)) (sqrt.f64 (*.f64 C F)))
(/.f64 (/.f64 (sqrt.f64 (*.f64 C F)) B) (/.f64 1 (sqrt.f64 2)))
(.f64 (sqrt.f64 (.f64 F (+.f64 A A))) (/.f64 (neg.f64 (sqrt.f64 2)) B))
(.f64 (sqrt.f64 (.f64 F (+.f64 C C))) (/.f64 (neg.f64 (sqrt.f64 2)) B))
(.f64 (sqrt.f64 (.f64 F (-.f64 A B))) (neg.f64 (/.f64 (sqrt.f64 2) B)))
(.f64 (sqrt.f64 (.f64 F (+.f64 (+.f64 A C) (neg.f64 B)))) (/.f64 (neg.f64 (sqrt.f64 2)) B))
(.f64 (sqrt.f64 (.f64 -1/2 (.f64 (.f64 A (/.f64 A B)) F))) (neg.f64 (/.f64 (sqrt.f64 2) B)))
(.f64 (sqrt.f64 (.f64 -1/2 (/.f64 (*.f64 A A) (/.f64 B F)))) (neg.f64 (/.f64 (sqrt.f64 2) B)))
(.f64 1/4 (.f64 (.f64 (/.f64 (sqrt.f64 2) A) (/.f64 B C)) (sqrt.f64 (.f64 F (-.f64 A (neg.f64 A))))))
(.f64 (sqrt.f64 (.f64 F (-.f64 A (.f64 (/.f64 A B) (.f64 1/2 A))))) (neg.f64 (/.f64 (sqrt.f64 2) B)))
(sqrt.f64 (.f64 2 (/.f64 (-.f64 C (sqrt.f64 (+.f64 (.f64 B B) (.f64 C C)))) (/.f64 (.f64 B B) F))))
(.f64 1/4 (.f64 (/.f64 (.f64 (sqrt.f64 2) B) (.f64 A C)) (sqrt.f64 (.f64 (-.f64 A (.f64 -1 A)) F))))
(.f64 1/4 (.f64 (/.f64 (.f64 (sqrt.f64 2) B) (.f64 A C)) (sqrt.f64 (.f64 (-.f64 C (.f64 -1 C)) F))))
(neg.f64 (.f64 (/.f64 (sqrt.f64 2) B) (sqrt.f64 (.f64 F (+.f64 (.f64 2 C) (.f64 1/2 (/.f64 B (/.f64 C B))))))))
(.f64 (sqrt.f64 (.f64 F (-.f64 A (+.f64 (.f64 1/2 (.f64 A (/.f64 A B))) B)))) (neg.f64 (/.f64 (sqrt.f64 2) B)))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 -16 A) (.f64 F (.f64 C C))))) (fma.f64 B B (.f64 A (.f64 C -4))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 -16 (.f64 A A)) (.f64 F C)))) (fma.f64 B B (.f64 A (.f64 C -4))))
(/.f64 (neg.f64 (.f64 B (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 C F))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (.f64 (.f64 B (sqrt.f64 2)) (neg.f64 (sqrt.f64 (.f64 C F))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 -8 (.f64 A (.f64 F (.f64 C C))))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (-.f64 A A))) (.f64 B (sqrt.f64 2)))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (-.f64 A B))) (.f64 B (sqrt.f64 2)))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 -8 A) (.f64 (.f64 F C) (-.f64 A (neg.f64 A)))))) (fma.f64 B B (.f64 A (.f64 C -4))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 -8 A) (.f64 (.f64 F C) (-.f64 C (neg.f64 C)))))) (fma.f64 B B (.f64 A (.f64 C -4))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (-.f64 A (neg.f64 A)))) (.f64 B (sqrt.f64 2)))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 -4 (.f64 (.f64 A C) (.f64 F (-.f64 C (neg.f64 C)))))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (+.f64 (.f64 2 C) (.f64 1/2 (/.f64 B (/.f64 C B)))))) (.f64 (sqrt.f64 2) B))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 F (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (+.f64 A (+.f64 (+.f64 C (-.f64 C A)) (.f64 1/2 (/.f64 B (/.f64 C B)))))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (+.f64 (.f64 1/2 (/.f64 B (/.f64 C B))) (+.f64 (+.f64 A C) (-.f64 C A)))) (.f64 2 F)))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (+.f64 C (fma.f64 -1/2 (/.f64 (.f64 B B) A) (neg.f64 A))))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (+.f64 (.f64 1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B)) B))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B)) (.f64 -1 B)))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (+.f64 (-.f64 A C) (.f64 1/2 (/.f64 (+.f64 (.f64 B B) (-.f64 (.f64 C C) (pow.f64 (neg.f64 C) 2))) A))))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(neg.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) (sqrt.f64 (/.f64 F C)))))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 1/2)) (neg.f64 (sqrt.f64 (/.f64 F C))))
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 (.f64 C F) 2)) B)) 3)
(neg.f64 (.f64 (/.f64 (pow.f64 (sqrt.f64 2) 2) B) (sqrt.f64 (.f64 C F))))
(.f64 (/.f64 (sqrt.f64 2) B) (pow.f64 (pow.f64 (.f64 C F) 3/2) 1/3))
(.f64 (sqrt.f64 (.f64 F (neg.f64 B))) (neg.f64 (pow.f64 (/.f64 B (sqrt.f64 2)) -1)))
(.f64 (/.f64 (sqrt.f64 2) B) (neg.f64 (sqrt.f64 (.f64 F (-.f64 A (hypot.f64 B A))))))
(.f64 (.f64 1/4 (/.f64 (pow.f64 (sqrt.f64 2) 2) (/.f64 A B))) (sqrt.f64 (/.f64 F C)))
(/.f64 (pow.f64 (.f64 C F) 1/4) (/.f64 (/.f64 B (sqrt.f64 2)) (pow.f64 (.f64 C F) 1/4)))

Outputs

(/.f64 (neg.f64 (sqrt.f64 (*.f64 2 (*.f64 (*.f64 (-.f64 (*.f64 B B) (*.f64 4 (*.f64 A C))) F) (+.f64 A (-.f64 C (neg.f64 B))))))) (-.f64 (*.f64 B B) (*.f64 4 (*.f64 A C))))

(sqrt.f64 (neg.f64 (/.f64 F A)))

(*.f64 (/.f64 (sqrt.f64 2) B) (neg.f64 (sqrt.f64 (*.f64 F (-.f64 A (hypot.f64 B A))))))

Calls

4 calls:

204.0ms	B
188.0ms	F
163.0ms	C
145.0ms	A

Results

Error	Segments	Branch
47.1b	3	`A`
43.2b	3	`B`
47.0b	3	`C`
46.3b	4	`F`

Compiler

Compiled 1659 to 862 computations (48% saved)

bsearch153.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
78.0ms	1.1865778968465492e-114	1.5027263506561926e-109
74.0ms	-1.8871786265736926e-129	-7.375991346490778e-136

Results

61.0ms	170×	body	256	valid
42.0ms	46×	body	2048	valid
26.0ms	42×	body	1024	valid
13.0ms	30×	body	512	valid
6.0ms	26×	body	256	invalid

Compiler

Compiled 735 to 515 computations (29.9% saved)

regimes1.1s (2.2%)

Counts

82 → 3

Calls

Call 1

Inputs
(sqrt.f64 (/.f64 F A))
(sqrt.f64 (neg.f64 (/.f64 F A)))
(sqrt.f64 (neg.f64 (/.f64 F C)))
(sqrt.f64 (*.f64 2 (/.f64 F B)))
(sqrt.f64 (/.f64 (*.f64 -2 F) B))
(/.f64 1 (sqrt.f64 (/.f64 A F)))
(.f64 (sqrt.f64 (.f64 C F)) (/.f64 -2 B))
(-.f64 (+.f64 1 (sqrt.f64 (/.f64 F A))) 1)
(/.f64 (sqrt.f64 (.f64 C (.f64 F 2))) B)
(sqrt.f64 (*.f64 (/.f64 2 B) (/.f64 C (/.f64 B F))))
(/.f64 1 (/.f64 B (sqrt.f64 (.f64 (.f64 C F) 2))))
(sqrt.f64 (.f64 -1/2 (/.f64 (-.f64 A (neg.f64 A)) (/.f64 (.f64 A C) F))))
(sqrt.f64 (.f64 -1/2 (/.f64 (-.f64 C (neg.f64 C)) (/.f64 (.f64 A C) F))))
(sqrt.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 A (.f64 -1 A)) F) (.f64 A C))))
(sqrt.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 C (.f64 -1 C)) F) (.f64 A C))))
(sqrt.f64 (.f64 2 (+.f64 (/.f64 F (/.f64 (.f64 B B) (+.f64 A C))) (/.f64 F B))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 C (.f64 F (.f64 B B)))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 F (.f64 C (.f64 B B)))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 -4 (.f64 A (.f64 (.f64 C C) F)))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 A (.f64 -4 (.f64 C (.f64 C F))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 B (.f64 B F)) (+.f64 A (-.f64 C A)))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 -4 (.f64 (.f64 A C) F)) (+.f64 A (-.f64 C A)))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C A)))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C B)))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C C)))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (neg.f64 A))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (neg.f64 B))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (neg.f64 C))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 B (.f64 B F)) (+.f64 A (-.f64 C (+.f64 (-.f64 A C) (.f64 -1/2 (/.f64 (.f64 B B) C))))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 -4 (.f64 (.f64 A C) F)) (+.f64 A (-.f64 C (+.f64 (-.f64 A C) (.f64 -1/2 (/.f64 (.f64 B B) C))))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (+.f64 (.f64 1/2 (/.f64 (.f64 C C) B)) B))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (+.f64 (-.f64 A C) (.f64 -1/2 (/.f64 (.f64 B B) C))))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (+.f64 (-.f64 A C) (.f64 1/2 (/.f64 (.f64 B B) A))))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (sqrt.f64 (neg.f64 F)) (sqrt.f64 A))
(pow.f64 (cbrt.f64 (/.f64 F A)) 3/2)
(pow.f64 (pow.f64 (/.f64 F A) 3/2) 1/3)
(.f64 (/.f64 (sqrt.f64 2) B) (sqrt.f64 (.f64 C F)))
(/.f64 (sqrt.f64 2) (/.f64 B (sqrt.f64 (*.f64 C F))))
(/.f64 (sqrt.f64 (*.f64 C F)) (/.f64 B (sqrt.f64 2)))
(.f64 (/.f64 (sqrt.f64 2) B) (neg.f64 (sqrt.f64 (.f64 C F))))
(/.f64 (.f64 (sqrt.f64 (.f64 C F)) (pow.f64 2 1/2)) B)
(.f64 (sqrt.f64 (.f64 F (neg.f64 B))) (neg.f64 (/.f64 (sqrt.f64 2) B)))
(.f64 (sqrt.f64 (.f64 F (neg.f64 B))) (/.f64 (neg.f64 (sqrt.f64 2)) B))
(.f64 (.f64 (/.f64 1 B) (sqrt.f64 2)) (sqrt.f64 (*.f64 C F)))
(/.f64 (/.f64 (sqrt.f64 (*.f64 C F)) B) (/.f64 1 (sqrt.f64 2)))
(.f64 (sqrt.f64 (.f64 F (+.f64 A A))) (/.f64 (neg.f64 (sqrt.f64 2)) B))
(.f64 (sqrt.f64 (.f64 F (+.f64 C C))) (/.f64 (neg.f64 (sqrt.f64 2)) B))
(.f64 (sqrt.f64 (.f64 F (-.f64 A B))) (neg.f64 (/.f64 (sqrt.f64 2) B)))
(.f64 (sqrt.f64 (.f64 F (+.f64 (+.f64 A C) (neg.f64 B)))) (/.f64 (neg.f64 (sqrt.f64 2)) B))
(.f64 (sqrt.f64 (.f64 -1/2 (.f64 (.f64 A (/.f64 A B)) F))) (neg.f64 (/.f64 (sqrt.f64 2) B)))
(.f64 (sqrt.f64 (.f64 -1/2 (/.f64 (*.f64 A A) (/.f64 B F)))) (neg.f64 (/.f64 (sqrt.f64 2) B)))
(.f64 1/4 (.f64 (.f64 (/.f64 (sqrt.f64 2) A) (/.f64 B C)) (sqrt.f64 (.f64 F (-.f64 A (neg.f64 A))))))
(.f64 (sqrt.f64 (.f64 F (-.f64 A (.f64 (/.f64 A B) (.f64 1/2 A))))) (neg.f64 (/.f64 (sqrt.f64 2) B)))
(sqrt.f64 (.f64 2 (/.f64 (-.f64 C (sqrt.f64 (+.f64 (.f64 B B) (.f64 C C)))) (/.f64 (.f64 B B) F))))
(.f64 1/4 (.f64 (/.f64 (.f64 (sqrt.f64 2) B) (.f64 A C)) (sqrt.f64 (.f64 (-.f64 A (.f64 -1 A)) F))))
(.f64 1/4 (.f64 (/.f64 (.f64 (sqrt.f64 2) B) (.f64 A C)) (sqrt.f64 (.f64 (-.f64 C (.f64 -1 C)) F))))
(neg.f64 (.f64 (/.f64 (sqrt.f64 2) B) (sqrt.f64 (.f64 F (+.f64 (.f64 2 C) (.f64 1/2 (/.f64 B (/.f64 C B))))))))
(.f64 (sqrt.f64 (.f64 F (-.f64 A (+.f64 (.f64 1/2 (.f64 A (/.f64 A B))) B)))) (neg.f64 (/.f64 (sqrt.f64 2) B)))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 -16 A) (.f64 F (.f64 C C))))) (fma.f64 B B (.f64 A (.f64 C -4))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 -16 (.f64 A A)) (.f64 F C)))) (fma.f64 B B (.f64 A (.f64 C -4))))
(/.f64 (neg.f64 (.f64 B (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 C F))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (.f64 (.f64 B (sqrt.f64 2)) (neg.f64 (sqrt.f64 (.f64 C F))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 -8 (.f64 A (.f64 F (.f64 C C))))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (-.f64 A A))) (.f64 B (sqrt.f64 2)))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (-.f64 A B))) (.f64 B (sqrt.f64 2)))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 -8 A) (.f64 (.f64 F C) (-.f64 A (neg.f64 A)))))) (fma.f64 B B (.f64 A (.f64 C -4))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 -8 A) (.f64 (.f64 F C) (-.f64 C (neg.f64 C)))))) (fma.f64 B B (.f64 A (.f64 C -4))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (-.f64 A (neg.f64 A)))) (.f64 B (sqrt.f64 2)))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 -4 (.f64 (.f64 A C) (.f64 F (-.f64 C (neg.f64 C)))))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (+.f64 (.f64 2 C) (.f64 1/2 (/.f64 B (/.f64 C B)))))) (.f64 (sqrt.f64 2) B))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 F (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (+.f64 A (+.f64 (+.f64 C (-.f64 C A)) (.f64 1/2 (/.f64 B (/.f64 C B)))))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (+.f64 (.f64 1/2 (/.f64 B (/.f64 C B))) (+.f64 (+.f64 A C) (-.f64 C A)))) (.f64 2 F)))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (+.f64 C (fma.f64 -1/2 (/.f64 (.f64 B B) A) (neg.f64 A))))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (+.f64 (.f64 1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B)) B))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B)) (.f64 -1 B)))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (+.f64 (-.f64 A C) (.f64 1/2 (/.f64 (+.f64 (.f64 B B) (-.f64 (.f64 C C) (pow.f64 (neg.f64 C) 2))) A))))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(neg.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) (sqrt.f64 (/.f64 F C)))))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 1/2)) (neg.f64 (sqrt.f64 (/.f64 F C))))
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 (.f64 C F) 2)) B)) 3)
(neg.f64 (.f64 (/.f64 (pow.f64 (sqrt.f64 2) 2) B) (sqrt.f64 (.f64 C F))))
(.f64 (/.f64 (sqrt.f64 2) B) (pow.f64 (pow.f64 (.f64 C F) 3/2) 1/3))
(.f64 (sqrt.f64 (.f64 F (neg.f64 B))) (neg.f64 (pow.f64 (/.f64 B (sqrt.f64 2)) -1)))

Outputs

(/.f64 (neg.f64 (sqrt.f64 (*.f64 2 (*.f64 (*.f64 (-.f64 (*.f64 B B) (*.f64 4 (*.f64 A C))) F) (+.f64 A (-.f64 C (neg.f64 B))))))) (-.f64 (*.f64 B B) (*.f64 4 (*.f64 A C))))

(sqrt.f64 (neg.f64 (/.f64 F A)))

(*.f64 (sqrt.f64 (*.f64 F (+.f64 (+.f64 A C) (neg.f64 B)))) (/.f64 (neg.f64 (sqrt.f64 2)) B))

Calls

4 calls:

308.0ms	C
240.0ms	B
239.0ms	A
198.0ms	F

Results

Error	Segments	Branch
47.8b	3	`A`
44.4b	3	`B`
47.8b	5	`C`
47.6b	5	`F`

Compiler

Compiled 1614 to 836 computations (48.2% saved)

bsearch257.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
106.0ms	1.1865778968465492e-114	1.5027263506561926e-109
150.0ms	-1.8871786265736926e-129	-7.375991346490778e-136

Results

88.0ms	174×	body	256	valid
87.0ms	51×	body	2048	valid
59.0ms	38×	body	1024	valid
11.0ms	25×	body	512	valid
6.0ms	25×	body	256	invalid

Compiler

Compiled 744 to 524 computations (29.6% saved)

regimes390.0ms (0.8%)

Counts

48 → 3

Calls

Call 1

Inputs
(sqrt.f64 (/.f64 F A))
(sqrt.f64 (neg.f64 (/.f64 F A)))
(sqrt.f64 (neg.f64 (/.f64 F C)))
(sqrt.f64 (*.f64 2 (/.f64 F B)))
(sqrt.f64 (/.f64 (*.f64 -2 F) B))
(/.f64 1 (sqrt.f64 (/.f64 A F)))
(.f64 (sqrt.f64 (.f64 C F)) (/.f64 -2 B))
(-.f64 (+.f64 1 (sqrt.f64 (/.f64 F A))) 1)
(/.f64 (sqrt.f64 (.f64 C (.f64 F 2))) B)
(sqrt.f64 (*.f64 (/.f64 2 B) (/.f64 C (/.f64 B F))))
(/.f64 1 (/.f64 B (sqrt.f64 (.f64 (.f64 C F) 2))))
(sqrt.f64 (.f64 -1/2 (/.f64 (-.f64 A (neg.f64 A)) (/.f64 (.f64 A C) F))))
(sqrt.f64 (.f64 -1/2 (/.f64 (-.f64 C (neg.f64 C)) (/.f64 (.f64 A C) F))))
(sqrt.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 A (.f64 -1 A)) F) (.f64 A C))))
(sqrt.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 C (.f64 -1 C)) F) (.f64 A C))))
(sqrt.f64 (.f64 2 (+.f64 (/.f64 F (/.f64 (.f64 B B) (+.f64 A C))) (/.f64 F B))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 C (.f64 F (.f64 B B)))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 F (.f64 C (.f64 B B)))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 -4 (.f64 A (.f64 (.f64 C C) F)))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 A (.f64 -4 (.f64 C (.f64 C F))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 B (.f64 B F)) (+.f64 A (-.f64 C A)))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 -4 (.f64 (.f64 A C) F)) (+.f64 A (-.f64 C A)))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C A)))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C B)))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C C)))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (neg.f64 A))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (neg.f64 B))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (neg.f64 C))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 B (.f64 B F)) (+.f64 A (-.f64 C (+.f64 (-.f64 A C) (.f64 -1/2 (/.f64 (.f64 B B) C))))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 -4 (.f64 (.f64 A C) F)) (+.f64 A (-.f64 C (+.f64 (-.f64 A C) (.f64 -1/2 (/.f64 (.f64 B B) C))))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (+.f64 (.f64 1/2 (/.f64 (.f64 C C) B)) B))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (+.f64 (-.f64 A C) (.f64 -1/2 (/.f64 (.f64 B B) C))))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (+.f64 (-.f64 A C) (.f64 1/2 (/.f64 (.f64 B B) A))))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (sqrt.f64 (neg.f64 F)) (sqrt.f64 A))
(pow.f64 (cbrt.f64 (/.f64 F A)) 3/2)
(pow.f64 (pow.f64 (/.f64 F A) 3/2) 1/3)
(.f64 (/.f64 (sqrt.f64 2) B) (sqrt.f64 (.f64 C F)))
(/.f64 (sqrt.f64 2) (/.f64 B (sqrt.f64 (*.f64 C F))))
(/.f64 (sqrt.f64 (*.f64 C F)) (/.f64 B (sqrt.f64 2)))
(.f64 (/.f64 (sqrt.f64 2) B) (neg.f64 (sqrt.f64 (.f64 C F))))
(/.f64 (.f64 (sqrt.f64 (.f64 C F)) (pow.f64 2 1/2)) B)
(.f64 (sqrt.f64 (.f64 F (neg.f64 B))) (neg.f64 (/.f64 (sqrt.f64 2) B)))
(.f64 (sqrt.f64 (.f64 F (neg.f64 B))) (/.f64 (neg.f64 (sqrt.f64 2)) B))
(.f64 (.f64 (/.f64 1 B) (sqrt.f64 2)) (sqrt.f64 (*.f64 C F)))
(/.f64 (/.f64 (sqrt.f64 (*.f64 C F)) B) (/.f64 1 (sqrt.f64 2)))
(.f64 (sqrt.f64 (.f64 F (+.f64 A A))) (/.f64 (neg.f64 (sqrt.f64 2)) B))
(.f64 (sqrt.f64 (.f64 F (+.f64 C C))) (/.f64 (neg.f64 (sqrt.f64 2)) B))
(.f64 (sqrt.f64 (.f64 F (-.f64 A B))) (neg.f64 (/.f64 (sqrt.f64 2) B)))

Outputs

(/.f64 (neg.f64 (sqrt.f64 (*.f64 2 (*.f64 (*.f64 (-.f64 (*.f64 B B) (*.f64 4 (*.f64 A C))) F) (+.f64 A (-.f64 C (neg.f64 B))))))) (-.f64 (*.f64 B B) (*.f64 4 (*.f64 A C))))

(sqrt.f64 (neg.f64 (/.f64 F A)))

(*.f64 (sqrt.f64 (*.f64 F (-.f64 A B))) (neg.f64 (/.f64 (sqrt.f64 2) B)))

Calls

4 calls:

119.0ms	C
100.0ms	A
85.0ms	F
64.0ms	B

Results

Error	Segments	Branch
47.8b	3	`A`
44.5b	3	`B`
47.9b	5	`C`
49.0b	4	`F`

Compiler

Compiled 838 to 430 computations (48.7% saved)

bsearch127.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
57.0ms	1.1865778968465492e-114	1.5027263506561926e-109
70.0ms	-1.8871786265736926e-129	-7.375991346490778e-136

Results

44.0ms	181×	body	256	valid
31.0ms	50×	body	1024	valid
27.0ms	32×	body	2048	valid
14.0ms	25×	body	512	valid
5.0ms	24×	body	256	invalid

Compiler

Compiled 717 to 506 computations (29.4% saved)

regimes343.0ms (0.7%)

Counts

47 → 3

Calls

Call 1

Inputs
(sqrt.f64 (/.f64 F A))
(sqrt.f64 (neg.f64 (/.f64 F A)))
(sqrt.f64 (neg.f64 (/.f64 F C)))
(sqrt.f64 (*.f64 2 (/.f64 F B)))
(sqrt.f64 (/.f64 (*.f64 -2 F) B))
(/.f64 1 (sqrt.f64 (/.f64 A F)))
(.f64 (sqrt.f64 (.f64 C F)) (/.f64 -2 B))
(-.f64 (+.f64 1 (sqrt.f64 (/.f64 F A))) 1)
(/.f64 (sqrt.f64 (.f64 C (.f64 F 2))) B)
(sqrt.f64 (*.f64 (/.f64 2 B) (/.f64 C (/.f64 B F))))
(/.f64 1 (/.f64 B (sqrt.f64 (.f64 (.f64 C F) 2))))
(sqrt.f64 (.f64 -1/2 (/.f64 (-.f64 A (neg.f64 A)) (/.f64 (.f64 A C) F))))
(sqrt.f64 (.f64 -1/2 (/.f64 (-.f64 C (neg.f64 C)) (/.f64 (.f64 A C) F))))
(sqrt.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 A (.f64 -1 A)) F) (.f64 A C))))
(sqrt.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 C (.f64 -1 C)) F) (.f64 A C))))
(sqrt.f64 (.f64 2 (+.f64 (/.f64 F (/.f64 (.f64 B B) (+.f64 A C))) (/.f64 F B))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 C (.f64 F (.f64 B B)))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 F (.f64 C (.f64 B B)))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 -4 (.f64 A (.f64 (.f64 C C) F)))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 A (.f64 -4 (.f64 C (.f64 C F))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 B (.f64 B F)) (+.f64 A (-.f64 C A)))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 -4 (.f64 (.f64 A C) F)) (+.f64 A (-.f64 C A)))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C A)))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C B)))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C C)))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (neg.f64 A))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (neg.f64 B))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (neg.f64 C))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 B (.f64 B F)) (+.f64 A (-.f64 C (+.f64 (-.f64 A C) (.f64 -1/2 (/.f64 (.f64 B B) C))))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 -4 (.f64 (.f64 A C) F)) (+.f64 A (-.f64 C (+.f64 (-.f64 A C) (.f64 -1/2 (/.f64 (.f64 B B) C))))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (+.f64 (.f64 1/2 (/.f64 (.f64 C C) B)) B))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (+.f64 (-.f64 A C) (.f64 -1/2 (/.f64 (.f64 B B) C))))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (+.f64 (-.f64 A C) (.f64 1/2 (/.f64 (.f64 B B) A))))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (sqrt.f64 (neg.f64 F)) (sqrt.f64 A))
(pow.f64 (cbrt.f64 (/.f64 F A)) 3/2)
(pow.f64 (pow.f64 (/.f64 F A) 3/2) 1/3)
(.f64 (/.f64 (sqrt.f64 2) B) (sqrt.f64 (.f64 C F)))
(/.f64 (sqrt.f64 2) (/.f64 B (sqrt.f64 (*.f64 C F))))
(/.f64 (sqrt.f64 (*.f64 C F)) (/.f64 B (sqrt.f64 2)))
(.f64 (/.f64 (sqrt.f64 2) B) (neg.f64 (sqrt.f64 (.f64 C F))))
(/.f64 (.f64 (sqrt.f64 (.f64 C F)) (pow.f64 2 1/2)) B)
(.f64 (sqrt.f64 (.f64 F (neg.f64 B))) (neg.f64 (/.f64 (sqrt.f64 2) B)))
(.f64 (sqrt.f64 (.f64 F (neg.f64 B))) (/.f64 (neg.f64 (sqrt.f64 2)) B))
(.f64 (.f64 (/.f64 1 B) (sqrt.f64 2)) (sqrt.f64 (*.f64 C F)))
(/.f64 (/.f64 (sqrt.f64 (*.f64 C F)) B) (/.f64 1 (sqrt.f64 2)))
(.f64 (sqrt.f64 (.f64 F (+.f64 A A))) (/.f64 (neg.f64 (sqrt.f64 2)) B))
(.f64 (sqrt.f64 (.f64 F (+.f64 C C))) (/.f64 (neg.f64 (sqrt.f64 2)) B))

Outputs

(/.f64 (neg.f64 (sqrt.f64 (*.f64 2 (*.f64 (*.f64 (-.f64 (*.f64 B B) (*.f64 4 (*.f64 A C))) F) (+.f64 A (-.f64 C (neg.f64 B))))))) (-.f64 (*.f64 B B) (*.f64 4 (*.f64 A C))))

(sqrt.f64 (neg.f64 (/.f64 F A)))

(*.f64 (sqrt.f64 (*.f64 F (neg.f64 B))) (neg.f64 (/.f64 (sqrt.f64 2) B)))

Calls

4 calls:

88.0ms	B
88.0ms	F
76.0ms	C
73.0ms	A

Results

Error	Segments	Branch
47.9b	3	`A`
44.6b	3	`B`
48.9b	3	`C`
49.0b	4	`F`

Compiler

Compiled 826 to 422 computations (48.9% saved)

bsearch147.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
64.0ms	1.1865778968465492e-114	1.5027263506561926e-109
82.0ms	-1.8871786265736926e-129	-7.375991346490778e-136

Results

41.0ms	168×	body	256	valid
40.0ms	43×	body	2048	valid
34.0ms	46×	body	1024	valid
17.0ms	31×	body	512	valid
8.0ms	36×	body	256	invalid

Compiler

Compiled 708 to 506 computations (28.5% saved)

regimes339.0ms (0.7%)

Counts

41 → 5

Calls

Call 1

Inputs
(sqrt.f64 (/.f64 F A))
(sqrt.f64 (neg.f64 (/.f64 F A)))
(sqrt.f64 (neg.f64 (/.f64 F C)))
(sqrt.f64 (*.f64 2 (/.f64 F B)))
(sqrt.f64 (/.f64 (*.f64 -2 F) B))
(/.f64 1 (sqrt.f64 (/.f64 A F)))
(.f64 (sqrt.f64 (.f64 C F)) (/.f64 -2 B))
(-.f64 (+.f64 1 (sqrt.f64 (/.f64 F A))) 1)
(/.f64 (sqrt.f64 (.f64 C (.f64 F 2))) B)
(sqrt.f64 (*.f64 (/.f64 2 B) (/.f64 C (/.f64 B F))))
(/.f64 1 (/.f64 B (sqrt.f64 (.f64 (.f64 C F) 2))))
(sqrt.f64 (.f64 -1/2 (/.f64 (-.f64 A (neg.f64 A)) (/.f64 (.f64 A C) F))))
(sqrt.f64 (.f64 -1/2 (/.f64 (-.f64 C (neg.f64 C)) (/.f64 (.f64 A C) F))))
(sqrt.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 A (.f64 -1 A)) F) (.f64 A C))))
(sqrt.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 C (.f64 -1 C)) F) (.f64 A C))))
(sqrt.f64 (.f64 2 (+.f64 (/.f64 F (/.f64 (.f64 B B) (+.f64 A C))) (/.f64 F B))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 C (.f64 F (.f64 B B)))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 F (.f64 C (.f64 B B)))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 -4 (.f64 A (.f64 (.f64 C C) F)))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 A (.f64 -4 (.f64 C (.f64 C F))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 B (.f64 B F)) (+.f64 A (-.f64 C A)))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 -4 (.f64 (.f64 A C) F)) (+.f64 A (-.f64 C A)))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C A)))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C B)))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C C)))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (neg.f64 A))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (neg.f64 B))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (neg.f64 C))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 B (.f64 B F)) (+.f64 A (-.f64 C (+.f64 (-.f64 A C) (.f64 -1/2 (/.f64 (.f64 B B) C))))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 -4 (.f64 (.f64 A C) F)) (+.f64 A (-.f64 C (+.f64 (-.f64 A C) (.f64 -1/2 (/.f64 (.f64 B B) C))))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (+.f64 (.f64 1/2 (/.f64 (.f64 C C) B)) B))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (+.f64 (-.f64 A C) (.f64 -1/2 (/.f64 (.f64 B B) C))))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (+.f64 (-.f64 A C) (.f64 1/2 (/.f64 (.f64 B B) A))))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (sqrt.f64 (neg.f64 F)) (sqrt.f64 A))
(pow.f64 (cbrt.f64 (/.f64 F A)) 3/2)
(pow.f64 (pow.f64 (/.f64 F A) 3/2) 1/3)
(.f64 (/.f64 (sqrt.f64 2) B) (sqrt.f64 (.f64 C F)))
(/.f64 (sqrt.f64 2) (/.f64 B (sqrt.f64 (*.f64 C F))))
(/.f64 (sqrt.f64 (*.f64 C F)) (/.f64 B (sqrt.f64 2)))
(.f64 (/.f64 (sqrt.f64 2) B) (neg.f64 (sqrt.f64 (.f64 C F))))
(/.f64 (.f64 (sqrt.f64 (.f64 C F)) (pow.f64 2 1/2)) B)

Outputs
(sqrt.f64 (neg.f64 (/.f64 F C)))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (neg.f64 B))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C B)))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (neg.f64 B))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (sqrt.f64 (neg.f64 F)) (sqrt.f64 A))

Calls

4 calls:

111.0ms	A
91.0ms	C
63.0ms	F
57.0ms	B

Results

Error	Segments	Branch
50.3b	5	`A`
50.4b	3	`B`
52.0b	4	`C`
53.5b	3	`F`

Compiler

Compiled 758 to 382 computations (49.6% saved)

bsearch155.0ms (0.3%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
62.0ms	8.952411742431341e-44	7.202955472676502e-38
7.0ms	1.5970674702414767e-170	4.810177722791721e-166
41.0ms	-3.673629380910965e-273	-3.936744566488645e-274
44.0ms	-36241175.183422446	-286465.3636068938

Results

70.0ms	270×	body	256	valid
35.0ms	53×	body	1024	valid
23.0ms	23×	body	2048	valid
9.0ms	22×	body	512	valid
8.0ms	36×	body	256	invalid
1.0ms	2×	body	1024	invalid
1.0ms	2×	body	512	invalid

Compiler

Compiled 1323 to 858 computations (35.1% saved)

regimes285.0ms (0.6%)

Counts

33 → 3

Calls

Call 1

Inputs
(sqrt.f64 (/.f64 F A))
(sqrt.f64 (neg.f64 (/.f64 F A)))
(sqrt.f64 (neg.f64 (/.f64 F C)))
(sqrt.f64 (*.f64 2 (/.f64 F B)))
(sqrt.f64 (/.f64 (*.f64 -2 F) B))
(/.f64 1 (sqrt.f64 (/.f64 A F)))
(.f64 (sqrt.f64 (.f64 C F)) (/.f64 -2 B))
(-.f64 (+.f64 1 (sqrt.f64 (/.f64 F A))) 1)
(/.f64 (sqrt.f64 (.f64 C (.f64 F 2))) B)
(sqrt.f64 (*.f64 (/.f64 2 B) (/.f64 C (/.f64 B F))))
(/.f64 1 (/.f64 B (sqrt.f64 (.f64 (.f64 C F) 2))))
(sqrt.f64 (.f64 -1/2 (/.f64 (-.f64 A (neg.f64 A)) (/.f64 (.f64 A C) F))))
(sqrt.f64 (.f64 -1/2 (/.f64 (-.f64 C (neg.f64 C)) (/.f64 (.f64 A C) F))))
(sqrt.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 A (.f64 -1 A)) F) (.f64 A C))))
(sqrt.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 C (.f64 -1 C)) F) (.f64 A C))))
(sqrt.f64 (.f64 2 (+.f64 (/.f64 F (/.f64 (.f64 B B) (+.f64 A C))) (/.f64 F B))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 C (.f64 F (.f64 B B)))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 F (.f64 C (.f64 B B)))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 -4 (.f64 A (.f64 (.f64 C C) F)))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 A (.f64 -4 (.f64 C (.f64 C F))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 B (.f64 B F)) (+.f64 A (-.f64 C A)))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 -4 (.f64 (.f64 A C) F)) (+.f64 A (-.f64 C A)))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C A)))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C B)))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C C)))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (neg.f64 A))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (neg.f64 B))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (neg.f64 C))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 B (.f64 B F)) (+.f64 A (-.f64 C (+.f64 (-.f64 A C) (.f64 -1/2 (/.f64 (.f64 B B) C))))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 -4 (.f64 (.f64 A C) F)) (+.f64 A (-.f64 C (+.f64 (-.f64 A C) (.f64 -1/2 (/.f64 (.f64 B B) C))))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (+.f64 (.f64 1/2 (/.f64 (.f64 C C) B)) B))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (+.f64 (-.f64 A C) (.f64 -1/2 (/.f64 (.f64 B B) C))))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (+.f64 (-.f64 A C) (.f64 1/2 (/.f64 (.f64 B B) A))))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))

Outputs

(/.f64 (neg.f64 (sqrt.f64 (*.f64 2 (*.f64 (*.f64 (-.f64 (*.f64 B B) (*.f64 4 (*.f64 A C))) F) (+.f64 A (-.f64 C (neg.f64 B))))))) (-.f64 (*.f64 B B) (*.f64 4 (*.f64 A C))))

(sqrt.f64 (neg.f64 (/.f64 F A)))

(/.f64 (neg.f64 (sqrt.f64 (*.f64 2 (*.f64 (*.f64 (-.f64 (*.f64 B B) (*.f64 4 (*.f64 A C))) F) (+.f64 A (-.f64 C B)))))) (-.f64 (*.f64 B B) (*.f64 4 (*.f64 A C))))

Calls

4 calls:

104.0ms	A
72.0ms	C
47.0ms	B
47.0ms	F

Results

Error	Segments	Branch
51.2b	5	`A`
50.4b	3	`B`
52.4b	5	`C`
53.5b	3	`F`

Compiler

Compiled 692 to 349 computations (49.6% saved)

bsearch128.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
58.0ms	1.1865778968465492e-114	1.5027263506561926e-109
70.0ms	-1.8871786265736926e-129	-7.375991346490778e-136

Results

45.0ms	185×	body	256	valid
28.0ms	34×	body	2048	valid
28.0ms	45×	body	1024	valid
12.0ms	24×	body	512	valid
8.0ms	29×	body	256	invalid

Compiler

Compiled 888 to 587 computations (33.9% saved)

regimes174.0ms (0.4%)

Counts

26 → 5

Calls

Call 1

Inputs
(sqrt.f64 (/.f64 F A))
(sqrt.f64 (neg.f64 (/.f64 F A)))
(sqrt.f64 (neg.f64 (/.f64 F C)))
(sqrt.f64 (*.f64 2 (/.f64 F B)))
(sqrt.f64 (/.f64 (*.f64 -2 F) B))
(/.f64 1 (sqrt.f64 (/.f64 A F)))
(.f64 (sqrt.f64 (.f64 C F)) (/.f64 -2 B))
(-.f64 (+.f64 1 (sqrt.f64 (/.f64 F A))) 1)
(/.f64 (sqrt.f64 (.f64 C (.f64 F 2))) B)
(sqrt.f64 (*.f64 (/.f64 2 B) (/.f64 C (/.f64 B F))))
(/.f64 1 (/.f64 B (sqrt.f64 (.f64 (.f64 C F) 2))))
(sqrt.f64 (.f64 -1/2 (/.f64 (-.f64 A (neg.f64 A)) (/.f64 (.f64 A C) F))))
(sqrt.f64 (.f64 -1/2 (/.f64 (-.f64 C (neg.f64 C)) (/.f64 (.f64 A C) F))))
(sqrt.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 A (.f64 -1 A)) F) (.f64 A C))))
(sqrt.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 C (.f64 -1 C)) F) (.f64 A C))))
(sqrt.f64 (.f64 2 (+.f64 (/.f64 F (/.f64 (.f64 B B) (+.f64 A C))) (/.f64 F B))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 C (.f64 F (.f64 B B)))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 F (.f64 C (.f64 B B)))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 -4 (.f64 A (.f64 (.f64 C C) F)))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 A (.f64 -4 (.f64 C (.f64 C F))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 B (.f64 B F)) (+.f64 A (-.f64 C A)))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 -4 (.f64 (.f64 A C) F)) (+.f64 A (-.f64 C A)))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C A)))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C B)))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C C)))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C (neg.f64 A))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))

Outputs
(sqrt.f64 (neg.f64 (/.f64 F A)))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C B)))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(sqrt.f64 (neg.f64 (/.f64 F A)))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C B)))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(sqrt.f64 (neg.f64 (/.f64 F C)))

Calls

4 calls:

62.0ms	C
39.0ms	F
35.0ms	A
28.0ms	B

Results

Error	Segments	Branch
52.9b	3	`A`
53.4b	2	`B`
52.4b	5	`C`
54.0b	3	`F`

Compiler

Compiled 435 to 231 computations (46.9% saved)

bsearch266.0ms (0.5%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
66.0ms	2.8723762888745336e+42	2.7731739143654376e+51
65.0ms	2.5100715352914412e+36	2.8723762888745336e+42
81.0ms	3.3199421847191337e-91	5.639447299609153e-81
54.0ms	-1.2417963654512095e+149	-7.097185028930056e+136

Results

111.0ms	421×	body	256	valid
62.0ms	91×	body	1024	valid
27.0ms	66×	body	512	valid
25.0ms	30×	body	2048	valid
19.0ms	87×	body	256	invalid
4.0ms	3×	body	1024	invalid
3.0ms	2×	body	2048	invalid
2.0ms	5×	body	512	invalid

Compiler

Compiled 1799 to 1178 computations (34.5% saved)

regimes389.0ms (0.8%)

Counts

23 → 4

Calls

Call 1

Inputs
(sqrt.f64 (/.f64 F A))
(sqrt.f64 (neg.f64 (/.f64 F A)))
(sqrt.f64 (neg.f64 (/.f64 F C)))
(sqrt.f64 (*.f64 2 (/.f64 F B)))
(sqrt.f64 (/.f64 (*.f64 -2 F) B))
(/.f64 1 (sqrt.f64 (/.f64 A F)))
(.f64 (sqrt.f64 (.f64 C F)) (/.f64 -2 B))
(-.f64 (+.f64 1 (sqrt.f64 (/.f64 F A))) 1)
(/.f64 (sqrt.f64 (.f64 C (.f64 F 2))) B)
(sqrt.f64 (*.f64 (/.f64 2 B) (/.f64 C (/.f64 B F))))
(/.f64 1 (/.f64 B (sqrt.f64 (.f64 (.f64 C F) 2))))
(sqrt.f64 (.f64 -1/2 (/.f64 (-.f64 A (neg.f64 A)) (/.f64 (.f64 A C) F))))
(sqrt.f64 (.f64 -1/2 (/.f64 (-.f64 C (neg.f64 C)) (/.f64 (.f64 A C) F))))
(sqrt.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 A (.f64 -1 A)) F) (.f64 A C))))
(sqrt.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 C (.f64 -1 C)) F) (.f64 A C))))
(sqrt.f64 (.f64 2 (+.f64 (/.f64 F (/.f64 (.f64 B B) (+.f64 A C))) (/.f64 F B))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 C (.f64 F (.f64 B B)))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 F (.f64 C (.f64 B B)))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 -4 (.f64 A (.f64 (.f64 C C) F)))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 A (.f64 -4 (.f64 C (.f64 C F))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 B (.f64 B F)) (+.f64 A (-.f64 C A)))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 -4 (.f64 (.f64 A C) F)) (+.f64 A (-.f64 C A)))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F) (+.f64 A (-.f64 C A)))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))

Outputs
(sqrt.f64 (neg.f64 (/.f64 F A)))
(sqrt.f64 (neg.f64 (/.f64 F C)))
(sqrt.f64 (neg.f64 (/.f64 F A)))
(sqrt.f64 (neg.f64 (/.f64 F C)))

Calls

4 calls:

223.0ms	C
97.0ms	F
45.0ms	A
13.0ms	B

Results

Error	Segments	Branch
53.5b	4	`A`
56.5b	1	`B`
53.3b	4	`C`
55.3b	2	`F`

Compiler

Compiled 341 to 186 computations (45.5% saved)

bsearch207.0ms (0.4%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
70.0ms	2.8723762888745336e+42	2.7731739143654376e+51
55.0ms	-2.1615134490788192e-215	-1.0664194960316773e-220
81.0ms	-6.451342648636509e+153	-1.1942969800738868e+150

Results

80.0ms	330×	body	256	valid
54.0ms	68×	body	256	invalid
24.0ms	36×	body	1024	valid
20.0ms	30×	body	512	valid
18.0ms	20×	body	2048	valid
4.0ms	6×	body	1024	invalid
1.0ms	1×	body	2048	invalid

Compiler

Compiled 571 to 454 computations (20.5% saved)

regimes17.0ms (0%)

Accuracy

Total -7.2b remaining (-12.7%)

Threshold costs -7.2b (-12.7%)

Counts

2 → 1

Calls

Call 1

Inputs
(sqrt.f64 (/.f64 F A))
(sqrt.f64 (neg.f64 (/.f64 F A)))

Outputs
(sqrt.f64 (neg.f64 (/.f64 F A)))

Calls

4 calls:

6.0ms	F
4.0ms	A
3.0ms	C
3.0ms	B

Results

Error	Segments	Branch
56.5b	1	`A`
56.5b	1	`B`
56.5b	1	`C`
56.5b	1	`F`

Compiler

Compiled 33 to 24 computations (27.3% saved)

simplify232.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

608×	`*-commutative`
498×	`distribute-lft-neg-in`
336×	`+-commutative`
294×	`neg-sub0`
262×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	301	4642
1	462	4598
2	608	4578
3	767	4574
4	938	4574
5	1130	4574
6	1364	4574
7	1574	4574
8	1790	4574
9	1939	4574
10	1972	4574
11	1977	4574
12	1984	4574
13	1989	4574
14	1991	4574

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
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(sqrt.f64 (/.f64 F A))

Outputs
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(if (<=.f64 C -264999999999999993498726777463587635037506245331563183257455349780099913281256527507827150206186810381894778654393893933743973442528804339712) (sqrt.f64 (/.f64 (neg.f64 F) A)) (if (<=.f64 C 4442853034715493/68351585149469122636640694597425667667286544715412888638305331450311031224980497600734786781970432) (/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 F (+.f64 (.f64 B B) (.f64 -4 (.f64 A C)))) (+.f64 A (-.f64 C B)))))) (+.f64 (.f64 B B) (.f64 -4 (.f64 A C)))) (if (<=.f64 C 1049999999999999929138838317591905173504) (sqrt.f64 (/.f64 (neg.f64 F) A)) (if (<=.f64 C 7000000000000000459038973342920909662042718208) (/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 F (+.f64 (.f64 B B) (.f64 -4 (.f64 A C)))) (+.f64 A (-.f64 C B)))))) (+.f64 (.f64 B B) (.f64 -4 (.f64 A C)))) (sqrt.f64 (neg.f64 (/.f64 F C)))))))
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(if (<=.f64 C -264999999999999993498726777463587635037506245331563183257455349780099913281256527507827150206186810381894778654393893933743973442528804339712) (sqrt.f64 (neg.f64 (/.f64 F A))) (if (<=.f64 C 4442853034715493/68351585149469122636640694597425667667286544715412888638305331450311031224980497600734786781970432) (neg.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (+.f64 A (-.f64 C B)) (.f64 F (-.f64 (.f64 (.f64 A C) 4) (.f64 B B)))) -2)) (+.f64 (.f64 B B) (.f64 -4 (.f64 A C))))) (if (<=.f64 C 1049999999999999929138838317591905173504) (sqrt.f64 (neg.f64 (/.f64 F A))) (if (<=.f64 C 7000000000000000459038973342920909662042718208) (neg.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (+.f64 A (-.f64 C B)) (.f64 F (-.f64 (.f64 (.f64 A C) 4) (.f64 B B)))) -2)) (+.f64 (.f64 B B) (.f64 -4 (.f64 A C))))) (sqrt.f64 (/.f64 (neg.f64 F) C))))))
(if (<=.f64 C -29000000000000001806458142961406257411922856042893981648978201728252599168749826243390336158413664217039274567450692230254639157970121998486223124955136) (sqrt.f64 (neg.f64 (/.f64 F A))) (if (<=.f64 C -7154003369321667/99361157907245371849534687261600163536440705095468583112899330433667260971928120725176218165033374588831214764616388685194981122823348121052434385602635592909085118465334393955216978280422300468816831948397854000057142198644227702784) (sqrt.f64 (neg.f64 (/.f64 F C))) (if (<=.f64 C 230000000000000004443498729351904554905501696) (sqrt.f64 (neg.f64 (/.f64 F A))) (sqrt.f64 (neg.f64 (/.f64 F C))))))
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(if (or (<=.f64 C -29000000000000001806458142961406257411922856042893981648978201728252599168749826243390336158413664217039274567450692230254639157970121998486223124955136) (and (not (<=.f64 C -7154003369321667/99361157907245371849534687261600163536440705095468583112899330433667260971928120725176218165033374588831214764616388685194981122823348121052434385602635592909085118465334393955216978280422300468816831948397854000057142198644227702784)) (<=.f64 C 230000000000000004443498729351904554905501696))) (sqrt.f64 (neg.f64 (/.f64 F A))) (sqrt.f64 (/.f64 (neg.f64 F) C)))
(sqrt.f64 (neg.f64 (/.f64 F A)))
(sqrt.f64 (/.f64 (neg.f64 F) A))
(sqrt.f64 (/.f64 F A))

Compiler

Compiled 1656 to 946 computations (42.9% saved)

soundness1.5s (3.1%)

Algorithm

14×	egg-herbie

Rules

1668×	`associate-*r/`
1668×	`associate-*r/`
1570×	`associate-+r+`
1570×	`associate-+r+`
1570×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	121
1	63	97
2	192	97
3	722	97
4	3092	97
0	1346	43328
1	4316	43248
0	25	121
1	63	97
2	192	97
3	722	97
4	3092	97
0	25	121
1	63	97
2	192	97
3	722	97
4	3092	97
0	1249	39794
1	4001	39742
0	25	121
1	63	97
2	192	97
3	722	97
4	3092	97
0	1334	44976
1	4361	44450
0	25	121
1	63	97
2	192	97
3	722	97
4	3092	97
0	1346	43328
1	4316	43248
0	525	11397
1	1513	10205
2	6290	10205
0	25	121
1	63	97
2	192	97
3	722	97
4	3092	97
0	25	121
1	63	97
2	192	97
3	722	97
4	3092	97
0	1346	43328
1	4316	43248
0	525	11397
1	1513	10205
2	6290	10205

Stop Event

1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 933 to 566 computations (39.3% saved)

end672.0ms (1.4%)

Compiler: Compiled 1588 to 725 computations (54.3% saved)