Details

analyze1.5s (3.8%)

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)

sample5.8s (14.7%)

Results

1.7s	6067×	body	256	valid
897.0ms	3303×	body	256	invalid
674.0ms	657×	body	2048	valid
638.0ms	898×	body	1024	valid
618.0ms	600×	body	2048	invalid
581.0ms	833×	body	1024	invalid
401.0ms	633×	body	512	valid
302.0ms	584×	body	512	invalid
1.0ms	1×	body	4096	valid

Bogosity

preprocess71.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

580×	`associate-l_binary64`
566×	`associate-r_binary64`
435×	`distribute-rgt-in_binary64`
411×	`distribute-lft-in_binary64`
378×	`distribute-rgt-neg-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	109	427
1	323	343
2	1158	343
3	5552	343
0	4	4
1	4	4

Stop Event

1×	unsound
1×	node limit

Calls

Call 1

Inputs
0
1
2
3

Outputs
0
1
2
0
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 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 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) F) (.f64 2 (+.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 2 (.f64 F (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (+.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 (fma.f64 B B (.f64 A (.f64 C -4))) F) (.f64 2 (+.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 (.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 F (-.f64 (.f64 A A) (.f64 4 (.f64 B C))))) (-.f64 (+.f64 B 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 C (-.f64 B (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 (.f64 B C) -4))) (+.f64 C (-.f64 B (hypot.f64 A (-.f64 B C)))))))) (fma.f64 A A (.f64 (*.f64 B C) -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 (-.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 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) F) (.f64 2 (+.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 2 (.f64 F (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (+.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 (fma.f64 B B (.f64 A (.f64 C -4))) F) (.f64 2 (+.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 (.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 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 (.f64 A (fma.f64 B B (.f64 C (.f64 F -4)))) (.f64 2 (+.f64 F (-.f64 C (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 -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))))
(neg.f64 (/.f64 (sqrt.f64 (.f64 (.f64 F (fma.f64 C C (.f64 -4 (.f64 B A)))) (.f64 2 (+.f64 B (-.f64 A (hypot.f64 C (-.f64 A B))))))) (fma.f64 C C (.f64 -4 (*.f64 B A)))))
(neg.f64 (/.f64 (sqrt.f64 (.f64 2 (.f64 F (.f64 (fma.f64 -4 (.f64 B A) (.f64 C C)) (+.f64 A (-.f64 B (hypot.f64 C (-.f64 A B)))))))) (fma.f64 -4 (.f64 B A) (*.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 4 (.f64 A C)))) (-.f64 (+.f64 A C) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (.f64 F F)))))))) (-.f64 (.f64 F F) (.f64 4 (.f64 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 (fma.f64 A (.f64 C -4) (.f64 F F)) (.f64 (.f64 2 B) (-.f64 C (-.f64 (hypot.f64 F (-.f64 A C)) A)))))) (fma.f64 A (.f64 C -4) (*.f64 F F)))
(/.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 (.f64 2 (.f64 C (-.f64 (.f64 B B) (.f64 4 (.f64 A F))))) (-.f64 (+.f64 A 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 (.f64 C (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 (.f64 C (fma.f64 F (.f64 A -4) (.f64 B B))) (+.f64 A (-.f64 F (hypot.f64 B (-.f64 A F)))))))) (fma.f64 F (.f64 A -4) (*.f64 B B)))

Symmetry

(sort A C)

Compiler

Compiled 48 to 36 computations (25% saved)

simplify32.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

503×	`associate-+l+_binary64`
483×	`associate-l_binary64`
446×	`associate-r_binary64`
420×	`distribute-rgt-in_binary64`
410×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	61
1	61	49
2	195	49
3	837	49
4	4427	49

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

eval3.0ms (0%)

Compiler: Compiled 216 to 114 computations (47.2% saved)

prune4.0ms (0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	2	4	6
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	3	4	7

Error

48.0b

Counts

7 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	48.8b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) (.f64 2 (.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
▶	54.0b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F)) (-.f64 (+.f64 A C) (sqrt.f64 (+.f64 (.f64 B B) (pow.f64 (-.f64 A C) 2))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
▶	51.1b	(/.f64 (neg.f64 (sqrt.f64 (.f64 F (.f64 2 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
▶	49.7b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 C (.f64 A -4))) (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))))) (fma.f64 B B (.f64 C (*.f64 A -4))))

Compiler

Compiled 155 to 95 computations (38.7% saved)

localize59.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.4b	(-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))
✓	7.6b	(.f64 (fma.f64 B B (.f64 C (.f64 A -4))) (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))
✓	15.4b	(sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 C (.f64 A -4))) (*.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))))
✓	20.8b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 C (.f64 A -4))) (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))))) (fma.f64 B B (.f64 C (*.f64 A -4))))

Compiler

Compiled 179 to 63 computations (64.8% saved)

series786.0ms (2%)

Counts

4 → 0

Calls

45 calls:

Time	Variable		Point	Expression
8.0ms	A	@	0	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 C (.f64 A -4))) (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))))) (fma.f64 B B (.f64 C (*.f64 A -4))))
8.0ms	A	@	inf	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 C (.f64 A -4))) (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))))) (fma.f64 B B (.f64 C (*.f64 A -4))))
6.0ms	C	@	0	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 C (.f64 A -4))) (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))))) (fma.f64 B B (.f64 C (*.f64 A -4))))
6.0ms	C	@	inf	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 C (.f64 A -4))) (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))))) (fma.f64 B B (.f64 C (*.f64 A -4))))
6.0ms	B	@	0	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 C (.f64 A -4))) (.f64 F (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))))) (fma.f64 B B (.f64 C (*.f64 A -4))))

Compiler

Compiled 95065 to 64180 computations (32.5% saved)

rewrite117.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

633×	`fma-def_binary64`
381×	`expm1-udef_binary64`
381×	`log1p-udef_binary64`
310×	`fma-neg_binary64`
230×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	125
1	446	123
2	6336	123

Stop Event

1×	node limit

Counts

4 → 222

Calls

Call 1

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

simplify126.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

312×	`log-prod_binary64`
266×	`associate-r_binary64`
236×	`associate-l_binary64`
231×	`cancel-sign-sub-inv_binary64`
230×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	457	7669
1	1107	7502
2	4565	7405

Stop Event

1×	node limit

Counts

222 → 292

Calls

Call 1

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

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

localize59.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.4b	(-.f64 C (hypot.f64 B (-.f64 A C)))
✓	5.4b	(.f64 F (.f64 2 (.f64 (fma.f64 B B (.f64 A (*.f64 C -4))) (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))))
✓	21.8b	(sqrt.f64 (.f64 F (.f64 2 (.f64 (fma.f64 B B (.f64 A (*.f64 C -4))) (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))))
✓	25.7b	(/.f64 (neg.f64 (sqrt.f64 (.f64 F (.f64 2 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))))) (fma.f64 B B (.f64 A (*.f64 C -4))))

Compiler

Compiled 190 to 73 computations (61.6% saved)

series726.0ms (1.8%)

Counts

4 → 0

Calls

45 calls:

Time	Variable		Point	Expression
9.0ms	A	@	0	(/.f64 (neg.f64 (sqrt.f64 (.f64 F (.f64 2 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
7.0ms	C	@	0	(.f64 F (.f64 2 (.f64 (fma.f64 B B (.f64 A (*.f64 C -4))) (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))))
7.0ms	A	@	inf	(/.f64 (neg.f64 (sqrt.f64 (.f64 F (.f64 2 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
6.0ms	C	@	0	(/.f64 (neg.f64 (sqrt.f64 (.f64 F (.f64 2 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
2.0ms	C	@	inf	(/.f64 (neg.f64 (sqrt.f64 (.f64 F (.f64 2 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))))) (fma.f64 B B (.f64 A (*.f64 C -4))))

Compiler

Compiled 94775 to 64060 computations (32.4% saved)

rewrite90.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

391×	`expm1-udef_binary64`
391×	`log1p-udef_binary64`
336×	`fma-neg_binary64`
236×	`add-sqr-sqrt_binary64`
228×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	125
1	454	123
2	6627	123

Stop Event

1×	node limit

Counts

4 → 142

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (sqrt.f64 (.f64 F (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 (fma.f64 B B (.f64 C (.f64 -4 A))))))) (fma.f64 B B (.f64 C (.f64 -4 A)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.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 C (.f64 -4 A))))))) (fma.f64 B B (.f64 C (.f64 -4 A)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (fma.f64 B B (.f64 C (.f64 -4 A)))) (/.f64 (sqrt.f64 (.f64 F (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 (fma.f64 B B (.f64 C (.f64 -4 A))))))) (fma.f64 B B (.f64 C (.f64 -4 A)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 F (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 (fma.f64 B B (.f64 C (.f64 -4 A))))))) (/.f64 1 (fma.f64 B B (.f64 C (.f64 -4 A)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 F (.f64 (-.f64 (+.f64 A C) 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simplify122.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

282×	`log-prod_binary64`
241×	`distribute-rgt-neg-in_binary64`
234×	`cancel-sign-sub-inv_binary64`
225×	`distribute-lft-neg-in_binary64`
213×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	325	5610
1	771	5346
2	3443	5295

Stop Event

1×	node limit

Counts

142 → 221

Calls

Call 1

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

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

localize62.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	9.2b	(.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F)
✓	15.4b	(sqrt.f64 (.f64 (.f64 2 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F)) (-.f64 (+.f64 A C) (sqrt.f64 (+.f64 (*.f64 B B) (pow.f64 (-.f64 A C) 2))))))
✓	20.8b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F)) (-.f64 (+.f64 A C) (sqrt.f64 (+.f64 (.f64 B B) (pow.f64 (-.f64 A C) 2))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
✓	37.7b	(sqrt.f64 (+.f64 (*.f64 B B) (pow.f64 (-.f64 A C) 2)))

Compiler

Compiled 225 to 96 computations (57.3% saved)

series708.0ms (1.8%)

Counts

4 → 0

Calls

45 calls:

Time	Variable		Point	Expression
5.0ms	F	@	0	(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F)) (-.f64 (+.f64 A C) (sqrt.f64 (+.f64 (.f64 B B) (pow.f64 (-.f64 A C) 2))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
2.0ms	B	@	0	(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F)) (-.f64 (+.f64 A C) (sqrt.f64 (+.f64 (.f64 B B) (pow.f64 (-.f64 A C) 2))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
2.0ms	B	@	inf	(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F)) (-.f64 (+.f64 A C) (sqrt.f64 (+.f64 (.f64 B B) (pow.f64 (-.f64 A C) 2))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
2.0ms	A	@	0	(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F)) (-.f64 (+.f64 A C) (sqrt.f64 (+.f64 (.f64 B B) (pow.f64 (-.f64 A C) 2))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
2.0ms	C	@	0	(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F)) (-.f64 (+.f64 A C) (sqrt.f64 (+.f64 (.f64 B B) (pow.f64 (-.f64 A C) 2))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))

Compiler

Compiled 84230 to 56270 computations (33.2% saved)

rewrite108.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

443×	`log1p-udef_binary64`
271×	`add-sqr-sqrt_binary64`
265×	`pow1_binary64`
264×	`*-un-lft-identity_binary64`
253×	`add-log-exp_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	130
1	536	102
2	7884	102

Stop Event

1×	node limit

Counts

4 → 136

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 (*.f64 B B) (pow.f64 (-.f64 A C) 2)))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F)) (-.f64 (+.f64 A 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 (.f64 2 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F)) (-.f64 (+.f64 A 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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simplify114.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

764×	`fma-def_binary64`
486×	`associate-/r*_binary64`
289×	`log-prod_binary64`
204×	`distribute-rgt-neg-in_binary64`
202×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	326	5312
1	741	5146
2	3138	4959

Stop Event

1×	node limit

Counts

136 → 210

Calls

Call 1

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

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

localize48.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.4b	(-.f64 C (hypot.f64 B (-.f64 A C)))
✓	3.7b	(.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) (.f64 2 (*.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))))
✓	21.8b	(sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) (.f64 2 (*.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))))
✓	25.7b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) (.f64 2 (.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))

Compiler

Compiled 176 to 60 computations (65.9% saved)

series713.0ms (1.8%)

Counts

3 → 0

Calls

36 calls:

Time	Variable		Point	Expression
26.0ms	A	@	0	(sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) (.f64 2 (*.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))))
3.0ms	B	@	0	(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) (.f64 2 (.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
2.0ms	C	@	0	(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) (.f64 2 (.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
2.0ms	A	@	0	(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) (.f64 2 (.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
1.0ms	A	@	inf	(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) (.f64 2 (.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))

Compiler

Compiled 89665 to 60305 computations (32.7% saved)

rewrite90.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

393×	`expm1-udef_binary64`
393×	`log1p-udef_binary64`
336×	`fma-neg_binary64`
237×	`add-sqr-sqrt_binary64`
229×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	115
1	455	113
2	6638	113

Stop Event

1×	node limit

Counts

3 → 105

Calls

Call 1

Inputs

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

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (sqrt.f64 (*.f64 (fma.f64 B B (*.f64 A (*.f64 -4 C))) (*.f64 (-.f64 C (-.f64 (hypot.f64 B (-.f64 A C)) A)) (*.f64 2 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 (fma.f64 B B (*.f64 A (*.f64 -4 C))) (*.f64 (-.f64 C (-.f64 (hypot.f64 B (-.f64 A C)) A)) (*.f64 2 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 (fma.f64 B B (*.f64 A (*.f64 -4 C))) (*.f64 (-.f64 C (-.f64 (hypot.f64 B (-.f64 A C)) A)) (*.f64 2 F)))) (fma.f64 B B (*.f64 A (*.f64 -4 C)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (fma.f64 B B (*.f64 A (*.f64 -4 C))) (*.f64 (-.f64 C (-.f64 (hypot.f64 B (-.f64 A C)) A)) (*.f64 2 F)))) (/.f64 1 (fma.f64 B B (*.f64 A (*.f64 -4 C)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 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simplify154.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

709×	`fma-def_binary64`
669×	`fma-neg_binary64`
233×	`log-prod_binary64`
221×	`distribute-lft-neg-in_binary64`
219×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	241	4847
1	550	4829
2	2670	4778
3	7807	4778

Stop Event

1×	node limit

Counts

105 → 184

Calls

Call 1

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

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

eval527.0ms (1.3%)

Compiler: Compiled 41614 to 18832 computations (54.7% saved)

prune367.0ms (0.9%)

Pruning

39 alts after pruning (38 fresh and 1 done)

	Pruned	Kept	Total
New	909	38	947
Fresh	0	0	0
Picked	0	1	1
Done	3	0	3
Total	912	39	951

Error

39.1b

Counts

951 → 39

Alt Table

Click to see full alt table

Status	Error	Program
	63.5b	(pow.f64 (/.f64 (pow.f64 (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) (.f64 (-.f64 C (-.f64 (hypot.f64 B (-.f64 A C)) A)) (.f64 2 F))) 1/4) (hypot.f64 B (sqrt.f64 (.f64 A (*.f64 -4 C))))) 2)
	55.6b	(/.f64 (/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 2 F))))) (hypot.f64 B (sqrt.f64 (.f64 A (.f64 -4 C))))) (hypot.f64 B (sqrt.f64 (.f64 A (*.f64 -4 C)))))
	53.2b	(/.f64 (/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 2 F))))) (cbrt.f64 (fma.f64 B B (.f64 A (.f64 -4 C))))) (cbrt.f64 (pow.f64 (fma.f64 B B (.f64 A (*.f64 -4 C))) 2)))
	51.3b	(/.f64 (.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (fma.f64 B B (.f64 A (.f64 C -4)))) 2)) (sqrt.f64 (.f64 2 (.f64 F (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))))) (cbrt.f64 (fma.f64 B B (.f64 A (.f64 C -4)))))
	63.9b	(/.f64 (sqrt.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 (fma.f64 B B (.f64 A (.f64 C -4)))))) (/.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (sqrt.f64 F)))
	63.0b	(/.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 -4 C)))))
	54.9b	(/.f64 (neg.f64 (pow.f64 (pow.f64 (.f64 2 (.f64 F (.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))) 3/2) 1/3)) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
	51.1b	(/.f64 (neg.f64 (pow.f64 (pow.f64 (.f64 2 (.f64 F (.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))) 1/4) 2)) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
	51.3b	(/.f64 (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 2 (.f64 F (.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))))) 3)) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
	51.8b	(/.f64 (neg.f64 (.f64 (hypot.f64 B (sqrt.f64 (.f64 A (.f64 -4 C)))) (sqrt.f64 (.f64 (+.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) A) (.f64 2 F))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
	63.3b	(/.f64 (neg.f64 (.f64 (sqrt.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))) (sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) F))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
	58.5b	(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (fma.f64 B B (.f64 C (.f64 A -4))))) (sqrt.f64 (.f64 F 2)))) (fma.f64 B B (.f64 A (*.f64 C -4))))
	49.3b	(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 (+.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) A) F)) (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) 2)))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
▶	49.8b	(/.f64 (neg.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 (-.f64 C (-.f64 (hypot.f64 B (-.f64 A C)) A)) F))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
	51.1b	(/.f64 (neg.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 F (.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
	63.7b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (neg.f64 (.f64 2 F)))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
✓	48.8b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) (.f64 2 (.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 (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) (.f64 2 (.f64 F (+.f64 A (sqrt.f64 (pow.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) 2)))))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
	49.1b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F)) (-.f64 (+.f64 A C) (pow.f64 (sqrt.f64 (hypot.f64 B (-.f64 A C))) 2))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
	49.2b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F)) (-.f64 (+.f64 A C) (pow.f64 (cbrt.f64 (hypot.f64 B (-.f64 A C))) 3))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
▶	49.0b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F)) (-.f64 (+.f64 A C) (hypot.f64 (-.f64 A C) B))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
	49.9b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F)) (-.f64 (+.f64 A C) (exp.f64 (log.f64 (hypot.f64 B (-.f64 A C)))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
▶	54.5b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 C (.f64 A -4))) (.f64 F (fma.f64 (-.f64 (.f64 A A) (.f64 C C)) (/.f64 1 (-.f64 A C)) (neg.f64 (hypot.f64 B (-.f64 A C))))))))) (fma.f64 B B (.f64 C (*.f64 A -4))))
	57.3b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 C (.f64 A -4))) (.f64 F (fma.f64 (+.f64 (pow.f64 A 3) (pow.f64 C 3)) (/.f64 1 (fma.f64 C (-.f64 C A) (.f64 A A))) (neg.f64 (hypot.f64 B (-.f64 A C))))))))) (fma.f64 B B (.f64 C (.f64 A -4))))
	49.9b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 C (.f64 A -4))) (.f64 F (fma.f64 (sqrt.f64 (hypot.f64 B (-.f64 A C))) (neg.f64 (sqrt.f64 (hypot.f64 B (-.f64 A C)))) (+.f64 C A))))))) (fma.f64 B B (.f64 C (*.f64 A -4))))
	56.6b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 C (.f64 A -4))) (.f64 F (/.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))))))))) (fma.f64 B B (.f64 C (.f64 A -4))))
	49.7b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 (-.f64 C (-.f64 (hypot.f64 B (-.f64 A C)) A)) F))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
	51.1b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 F (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
	51.6b	(/.f64 (neg.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (.f64 2 (.f64 F (.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
	51.8b	(/.f64 (neg.f64 (exp.f64 (.f64 (log.f64 (.f64 2 (.f64 F (.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))))) 1/2))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
	53.4b	(/.f64 (neg.f64 (cbrt.f64 (pow.f64 (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) (.f64 (+.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) A) (.f64 2 F))) 3/2))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
	54.5b	(/.f64 (neg.f64 (cbrt.f64 (pow.f64 (.f64 2 (.f64 F (.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))) 3/2))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
▶	63.2b	(.f64 (hypot.f64 B (sqrt.f64 (.f64 A (.f64 -4 C)))) (/.f64 (sqrt.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 F))) (fma.f64 B B (.f64 A (*.f64 -4 C)))))
	49.8b	(.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) (.f64 (-.f64 C (-.f64 (hypot.f64 B (-.f64 A C)) A)) (.f64 2 F)))) (/.f64 1 (neg.f64 (fma.f64 B B (.f64 A (.f64 -4 C))))))
	51.1b	(.f64 (sqrt.f64 (.f64 2 (.f64 F (.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))))) (/.f64 1 (neg.f64 (fma.f64 B B (.f64 (.f64 A C) -4)))))
	59.9b	(sqrt.f64 (/.f64 F (/.f64 (pow.f64 (fma.f64 B B (.f64 C (.f64 A -4))) 2) (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 (fma.f64 B B (.f64 C (.f64 A -4))))))))
	55.5b	(sqrt.f64 (/.f64 F (.f64 (/.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (+.f64 C (-.f64 A (hypot.f64 B (-.f64 A C)))) 2)) 1)))
▶	56.4b	(sqrt.f64 (.f64 1 (/.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 F)) (fma.f64 B B (.f64 A (*.f64 -4 C))))))
	55.7b	(neg.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (-.f64 (+.f64 C A) (hypot.f64 B (-.f64 A C))) (.f64 (.f64 (fma.f64 C (.f64 A -4) (.f64 B B)) F) 2)) 1/4) (hypot.f64 B (sqrt.f64 (.f64 C (*.f64 A -4))))) 2))

Compiler

Compiled 3111 to 1943 computations (37.5% saved)

localize48.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	4.5b	(.f64 (.f64 2 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F)) (-.f64 (+.f64 A C) (hypot.f64 (-.f64 A C) B)))
	9.2b	(.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F)
✓	15.4b	(sqrt.f64 (.f64 (.f64 2 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F)) (-.f64 (+.f64 A C) (hypot.f64 (-.f64 A C) B))))
✓	20.8b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F)) (-.f64 (+.f64 A C) (hypot.f64 (-.f64 A C) B))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))

Compiler

Compiled 181 to 64 computations (64.6% saved)

series761.0ms (1.9%)

Counts

3 → 0

Calls

36 calls:

Time	Variable		Point	Expression
27.0ms	C	@	0	(sqrt.f64 (.f64 (.f64 2 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F)) (-.f64 (+.f64 A C) (hypot.f64 (-.f64 A C) B))))
13.0ms	A	@	inf	(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F)) (-.f64 (+.f64 A C) (hypot.f64 (-.f64 A C) B))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
2.0ms	B	@	0	(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F)) (-.f64 (+.f64 A C) (hypot.f64 (-.f64 A C) B))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
2.0ms	C	@	0	(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F)) (-.f64 (+.f64 A C) (hypot.f64 (-.f64 A C) B))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
2.0ms	C	@	inf	(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F)) (-.f64 (+.f64 A C) (hypot.f64 (-.f64 A C) B))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))

Compiler

Compiled 89285 to 60245 computations (32.5% saved)

rewrite91.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

407×	`expm1-udef_binary64`
407×	`log1p-udef_binary64`
248×	`add-sqr-sqrt_binary64`
241×	`pow1_binary64`
240×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	123
1	485	113
2	7099	113

Stop Event

1×	node limit

Counts

3 → 111

Calls

Call 1

Inputs

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

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

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

Outputs

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

simplify99.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

816×	`fma-def_binary64`
273×	`distribute-lft-neg-in_binary64`
271×	`distribute-rgt-neg-in_binary64`
250×	`cancel-sign-sub-inv_binary64`
241×	`log-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	280	5217
1	697	5188
2	3294	5141

Stop Event

1×	node limit

Counts

111 → 183

Calls

Call 1

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

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

localize40.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(fma.f64 B B (.f64 A (.f64 -4 C)))
	1.4b	(-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))
✓	10.4b	(sqrt.f64 (.f64 1 (/.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 F)) (fma.f64 B B (.f64 A (*.f64 -4 C))))))
✓	14.0b	(/.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 F)) (fma.f64 B B (.f64 A (.f64 -4 C))))

Compiler

Compiled 134 to 54 computations (59.7% saved)

series497.0ms (1.2%)

Counts

3 → 0

Calls

33 calls:

Time	Variable		Point	Expression
6.0ms	C	@	0	(sqrt.f64 (.f64 1 (/.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 F)) (fma.f64 B B (.f64 A (*.f64 -4 C))))))
3.0ms	A	@	inf	(sqrt.f64 (.f64 1 (/.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 F)) (fma.f64 B B (.f64 A (*.f64 -4 C))))))
3.0ms	A	@	0	(sqrt.f64 (.f64 1 (/.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 F)) (fma.f64 B B (.f64 A (*.f64 -4 C))))))
3.0ms	C	@	inf	(sqrt.f64 (.f64 1 (/.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 F)) (fma.f64 B B (.f64 A (*.f64 -4 C))))))
3.0ms	B	@	0	(sqrt.f64 (.f64 1 (/.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 F)) (fma.f64 B B (.f64 A (*.f64 -4 C))))))

Compiler

Compiled 55230 to 37285 computations (32.5% saved)

rewrite88.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

586×	`fma-def_binary64`
366×	`expm1-udef_binary64`
366×	`log1p-udef_binary64`
311×	`fma-neg_binary64`
212×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	77
1	434	77
2	5741	77

Stop Event

1×	node limit

Counts

3 → 107

Calls

Call 1

Inputs

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

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

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

Outputs

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

simplify88.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

407×	`associate-/r/_binary64`
364×	`associate-/l/_binary64`
357×	`log-prod_binary64`
264×	`cube-prod_binary64`
262×	`exp-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	247	3468
1	609	3376
2	2840	3364

Stop Event

1×	node limit

Counts

107 → 147

Calls

Call 1

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

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

localize53.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.4b	(-.f64 C (-.f64 (hypot.f64 B (-.f64 A C)) A))
✓	7.6b	(.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 (-.f64 C (-.f64 (hypot.f64 B (-.f64 A C)) A)) F))
✓	15.4b	(sqrt.f64 (.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 (-.f64 C (-.f64 (hypot.f64 B (-.f64 A C)) A)) F)))
✓	20.8b	(/.f64 (neg.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 (-.f64 C (-.f64 (hypot.f64 B (-.f64 A C)) A)) F))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))

Compiler

Compiled 204 to 65 computations (68.1% saved)

series892.0ms (2.2%)

Counts

4 → 0

Calls

45 calls:

Time	Variable		Point	Expression
37.0ms	A	@	inf	(/.f64 (neg.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 (-.f64 C (-.f64 (hypot.f64 B (-.f64 A C)) A)) F))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
32.0ms	C	@	inf	(/.f64 (neg.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 (-.f64 C (-.f64 (hypot.f64 B (-.f64 A C)) A)) F))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
7.0ms	A	@	0	(/.f64 (neg.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 (-.f64 C (-.f64 (hypot.f64 B (-.f64 A C)) A)) F))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
6.0ms	C	@	0	(/.f64 (neg.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 (-.f64 C (-.f64 (hypot.f64 B (-.f64 A C)) A)) F))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
5.0ms	B	@	0	(/.f64 (neg.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 (-.f64 C (-.f64 (hypot.f64 B (-.f64 A C)) A)) F))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))

Compiler

Compiled 98905 to 67045 computations (32.2% saved)

rewrite66.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

292×	`add-sqr-sqrt_binary64`
284×	`pow1_binary64`
282×	`*-un-lft-identity_binary64`
271×	`add-exp-log_binary64`
271×	`add-log-exp_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	124
1	573	120

Stop Event

1×	node limit

Counts

4 → 141

Calls

Call 1

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

Outputs
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simplify100.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

793×	`fma-def_binary64`
289×	`log-prod_binary64`
258×	`associate-r_binary64`
246×	`associate-l_binary64`
232×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	353	5519
1	904	5479
2	3889	5436

Stop Event

1×	node limit

Counts

141 → 211

Calls

Call 1

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

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

localize45.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	5.9b	(/.f64 (sqrt.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 F))) (fma.f64 B B (.f64 A (.f64 -4 C))))
✓	7.2b	(.f64 (hypot.f64 B (sqrt.f64 (.f64 A (.f64 -4 C)))) (/.f64 (sqrt.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 F))) (fma.f64 B B (.f64 A (*.f64 -4 C)))))
✓	8.6b	(sqrt.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 F)))
✓	11.4b	(sqrt.f64 (.f64 A (.f64 -4 C)))

Compiler

Compiled 145 to 61 computations (57.9% saved)

series1.3s (3.2%)

Counts

4 → 0

Calls

42 calls:

Time	Variable		Point	Expression
23.0ms	A	@	0	(.f64 (hypot.f64 B (sqrt.f64 (.f64 A (.f64 -4 C)))) (/.f64 (sqrt.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 F))) (fma.f64 B B (.f64 A (*.f64 -4 C)))))
16.0ms	C	@	inf	(.f64 (hypot.f64 B (sqrt.f64 (.f64 A (.f64 -4 C)))) (/.f64 (sqrt.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 F))) (fma.f64 B B (.f64 A (*.f64 -4 C)))))
9.0ms	A	@	inf	(.f64 (hypot.f64 B (sqrt.f64 (.f64 A (.f64 -4 C)))) (/.f64 (sqrt.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 F))) (fma.f64 B B (.f64 A (*.f64 -4 C)))))
8.0ms	A	@	-inf	(.f64 (hypot.f64 B (sqrt.f64 (.f64 A (.f64 -4 C)))) (/.f64 (sqrt.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 F))) (fma.f64 B B (.f64 A (*.f64 -4 C)))))
7.0ms	C	@	-inf	(.f64 (hypot.f64 B (sqrt.f64 (.f64 A (.f64 -4 C)))) (/.f64 (sqrt.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 F))) (fma.f64 B B (.f64 A (*.f64 -4 C)))))

Compiler

Compiled 127545 to 86890 computations (31.9% saved)

rewrite130.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

615×	`fma-def_binary64`
405×	`expm1-udef_binary64`
405×	`log1p-udef_binary64`
312×	`fma-neg_binary64`
233×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	112
1	462	111
2	6236	111

Stop Event

1×	node limit

Counts

4 → 115

Calls

Call 1

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

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

simplify88.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

605×	`associate-*l/_binary64`
533×	`associate-/r*_binary64`
453×	`unswap-sqr_binary64`
328×	`distribute-rgt-in_binary64`
322×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	262	3712
1	542	3691
2	2063	3671

Stop Event

1×	node limit

Counts

115 → 171

Calls

Call 1

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

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

localize74.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	6.9b	(.f64 (fma.f64 B B (.f64 C (.f64 A -4))) (.f64 F (fma.f64 (-.f64 (.f64 A A) (.f64 C C)) (/.f64 1 (-.f64 A C)) (neg.f64 (hypot.f64 B (-.f64 A C))))))
✓	15.9b	(sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 C (.f64 A -4))) (.f64 F (fma.f64 (-.f64 (.f64 A A) (*.f64 C C)) (/.f64 1 (-.f64 A C)) (neg.f64 (hypot.f64 B (-.f64 A C))))))))
✓	21.7b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 C (.f64 A -4))) (.f64 F (fma.f64 (-.f64 (.f64 A A) (.f64 C C)) (/.f64 1 (-.f64 A C)) (neg.f64 (hypot.f64 B (-.f64 A C))))))))) (fma.f64 B B (.f64 C (*.f64 A -4))))
✓	35.7b	(fma.f64 (-.f64 (.f64 A A) (.f64 C C)) (/.f64 1 (-.f64 A C)) (neg.f64 (hypot.f64 B (-.f64 A C))))

Compiler

Compiled 271 to 94 computations (65.3% saved)

series1.1s (2.6%)

Counts

4 → 0

Calls

45 calls:

Time	Variable		Point	Expression
8.0ms	A	@	inf	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 C (.f64 A -4))) (.f64 F (fma.f64 (-.f64 (.f64 A A) (.f64 C C)) (/.f64 1 (-.f64 A C)) (neg.f64 (hypot.f64 B (-.f64 A C))))))))) (fma.f64 B B (.f64 C (*.f64 A -4))))
8.0ms	A	@	0	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 C (.f64 A -4))) (.f64 F (fma.f64 (-.f64 (.f64 A A) (.f64 C C)) (/.f64 1 (-.f64 A C)) (neg.f64 (hypot.f64 B (-.f64 A C))))))))) (fma.f64 B B (.f64 C (*.f64 A -4))))
6.0ms	B	@	0	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 C (.f64 A -4))) (.f64 F (fma.f64 (-.f64 (.f64 A A) (.f64 C C)) (/.f64 1 (-.f64 A C)) (neg.f64 (hypot.f64 B (-.f64 A C))))))))) (fma.f64 B B (.f64 C (*.f64 A -4))))
5.0ms	C	@	inf	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 C (.f64 A -4))) (.f64 F (fma.f64 (-.f64 (.f64 A A) (.f64 C C)) (/.f64 1 (-.f64 A C)) (neg.f64 (hypot.f64 B (-.f64 A C))))))))) (fma.f64 B B (.f64 C (*.f64 A -4))))
5.0ms	C	@	0	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 C (.f64 A -4))) (.f64 F (fma.f64 (-.f64 (.f64 A A) (.f64 C C)) (/.f64 1 (-.f64 A C)) (neg.f64 (hypot.f64 B (-.f64 A C))))))))) (fma.f64 B B (.f64 C (*.f64 A -4))))

Compiler

Compiled 121135 to 82280 computations (32.1% saved)

rewrite96.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

423×	`log1p-udef_binary64`
272×	`add-sqr-sqrt_binary64`
264×	`pow1_binary64`
263×	`*-un-lft-identity_binary64`
250×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	185
1	543	123
2	7385	123

Stop Event

1×	node limit

Counts

4 → 128

Calls

Call 1

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

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

simplify87.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

505×	`associate-*l/_binary64`
382×	`associate-*r/_binary64`
311×	`log-prod_binary64`
238×	`associate-r_binary64`
207×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	288	5233
1	677	5213
2	3311	5202

Stop Event

1×	node limit

Counts

128 → 201

Calls

Call 1

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

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

eval600.0ms (1.5%)

Compiler: Compiled 43754 to 19323 computations (55.8% saved)

prune447.0ms (1.1%)

Pruning

58 alts after pruning (55 fresh and 3 done)

	Pruned	Kept	Total
New	1026	42	1068
Fresh	20	13	33
Picked	0	1	1
Done	3	2	5
Total	1049	58	1107

Error

39.0b

Counts

1107 → 58

Alt Table

Click to see full alt table

Status	Error	Program
	57.1b	(pow.f64 (pow.f64 (.f64 (/.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (fma.f64 A (.f64 C -4) (.f64 B B))) (.f64 2 F)) 3/2) 1/3)
	55.6b	(pow.f64 (pow.f64 (.f64 (/.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (fma.f64 A (.f64 C -4) (.f64 B B))) (.f64 2 F)) 1/4) 2)
	63.5b	(pow.f64 (/.f64 (pow.f64 (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) (.f64 (-.f64 C (-.f64 (hypot.f64 B (-.f64 A C)) A)) (.f64 2 F))) 1/4) (hypot.f64 B (sqrt.f64 (.f64 A (*.f64 -4 C))))) 2)
	55.5b	(pow.f64 (.f64 (/.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (fma.f64 A (.f64 C -4) (.f64 B B))) (.f64 2 F)) 1/2)
	63.0b	(/.f64 (sqrt.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 F))) (hypot.f64 B (sqrt.f64 (.f64 C (.f64 A -4)))))
	63.5b	(/.f64 (sqrt.f64 (.f64 (+.f64 (hypot.f64 B (-.f64 A C)) (+.f64 A C)) (.f64 (.f64 (fma.f64 B B (.f64 C (.f64 A -4))) F) 2))) (fma.f64 B B (.f64 C (*.f64 A -4))))
	57.4b	(/.f64 (sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 F -2))) (sqrt.f64 (-.f64 (.f64 C (.f64 A 4)) (*.f64 B B))))
	53.8b	(/.f64 (neg.f64 (pow.f64 (pow.f64 (.f64 2 (.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) F) (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))))) 3/2) 1/3)) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
▶	48.2b	(/.f64 (neg.f64 (pow.f64 (pow.f64 (.f64 2 (.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) F) (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))))) 1/4) 2)) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
	48.4b	(/.f64 (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) F) (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))))))) 3)) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
	51.8b	(/.f64 (neg.f64 (.f64 (hypot.f64 B (sqrt.f64 (.f64 A (.f64 -4 C)))) (sqrt.f64 (.f64 (+.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) A) (.f64 2 F))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
	58.5b	(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (fma.f64 B B (.f64 C (.f64 A -4))))) (sqrt.f64 (.f64 F 2)))) (fma.f64 B B (.f64 A (*.f64 C -4))))
	49.3b	(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 (+.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) A) F)) (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) 2)))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
	53.8b	(/.f64 (neg.f64 (.f64 (sqrt.f64 2) (pow.f64 (pow.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 F (fma.f64 A (.f64 C -4) (.f64 B B)))) 3/2) 1/3))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
	49.3b	(/.f64 (neg.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (fma.f64 A (.f64 C -4) (.f64 B B))) (sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) F))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
	48.8b	(/.f64 (neg.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (fma.f64 B B (.f64 -4 (.f64 A C))) (.f64 F (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B)))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
	63.4b	(/.f64 (neg.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 (pow.f64 (pow.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) 3) 1/3) F))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
	62.9b	(/.f64 (neg.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 (log.f64 (exp.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))) F))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
	63.4b	(/.f64 (neg.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 (exp.f64 (log.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))) F))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
	56.4b	(/.f64 (neg.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 (cbrt.f64 (pow.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) 3)) F))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
	48.1b	(/.f64 (neg.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 F (fma.f64 A (.f64 C -4) (.f64 B B))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
	60.8b	(/.f64 (neg.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) 3) (pow.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) F) 3)))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
	49.2b	(/.f64 (neg.f64 (.f64 (sqrt.f64 2) (exp.f64 (.f64 (log.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 F (fma.f64 A (.f64 C -4) (.f64 B B))))) 1/2)))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
✓	48.8b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) (.f64 2 (.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
▶	48.1b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))) (.f64 (fma.f64 B B (.f64 -4 (.f64 A C))) (.f64 F 2))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
	49.1b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F)) (-.f64 (+.f64 A C) (pow.f64 (sqrt.f64 (hypot.f64 B (-.f64 A C))) 2))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
	49.2b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F)) (-.f64 (+.f64 A C) (pow.f64 (cbrt.f64 (hypot.f64 B (-.f64 A C))) 3))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
✓	49.0b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F)) (-.f64 (+.f64 A C) (hypot.f64 (-.f64 A C) B))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
	49.9b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F)) (-.f64 (+.f64 A C) (exp.f64 (log.f64 (hypot.f64 B (-.f64 A C)))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
✓	54.5b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 C (.f64 A -4))) (.f64 F (fma.f64 (-.f64 (.f64 A A) (.f64 C C)) (/.f64 1 (-.f64 A C)) (neg.f64 (hypot.f64 B (-.f64 A C))))))))) (fma.f64 B B (.f64 C (*.f64 A -4))))
	49.9b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 C (.f64 A -4))) (.f64 F (fma.f64 (sqrt.f64 (hypot.f64 B (-.f64 A C))) (neg.f64 (sqrt.f64 (hypot.f64 B (-.f64 A C)))) (+.f64 C A))))))) (fma.f64 B B (.f64 C (*.f64 A -4))))
	59.1b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 C (.f64 A -4))) (.f64 F (/.f64 (fma.f64 (+.f64 A C) (+.f64 A C) (neg.f64 (pow.f64 (hypot.f64 B (-.f64 A C)) 2))) (+.f64 (hypot.f64 B (-.f64 A C)) (+.f64 A C)))))))) (fma.f64 B B (.f64 C (*.f64 A -4))))
	56.6b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 C (.f64 A -4))) (.f64 F (/.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))))))))) (fma.f64 B B (.f64 C (.f64 A -4))))
	63.3b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 C (.f64 A -4))) (.f64 F (+.f64 (hypot.f64 B (-.f64 A C)) (+.f64 A C))))))) (fma.f64 B B (.f64 C (*.f64 A -4))))
	49.7b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 (-.f64 C (-.f64 (hypot.f64 B (-.f64 A C)) A)) F))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
	51.1b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 F (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
	63.7b	(/.f64 (neg.f64 (sqrt.f64 (.f64 -2 (.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) F) (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
▶	48.8b	(/.f64 (neg.f64 (sqrt.f64 (expm1.f64 (log1p.f64 (.f64 2 (.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) F) (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
	48.8b	(/.f64 (neg.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) F) (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
	49.1b	(/.f64 (neg.f64 (exp.f64 (.f64 (log.f64 (.f64 2 (.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) F) (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B)))))) 1/2))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
	51.8b	(/.f64 (neg.f64 (exp.f64 (.f64 (log.f64 (.f64 2 (.f64 F (.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))))) 1/2))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
	53.2b	(/.f64 (neg.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))) (.f64 (fma.f64 B B (.f64 -4 (.f64 A C))) (.f64 F 2))) 3/2))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
	57.1b	(/.f64 1 (sqrt.f64 (/.f64 (/.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (*.f64 2 F)) (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))))
	49.1b	(.f64 (sqrt.f64 (.f64 (-.f64 C (-.f64 (hypot.f64 B (-.f64 A C)) A)) (.f64 F (fma.f64 A (.f64 C -4) (.f64 B B))))) (neg.f64 (/.f64 (sqrt.f64 2) (fma.f64 A (.f64 C -4) (*.f64 B B)))))
	51.1b	(.f64 (sqrt.f64 (.f64 2 (.f64 F (.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))))) (/.f64 1 (neg.f64 (fma.f64 B B (.f64 (.f64 A C) -4)))))
	48.1b	(.f64 (sqrt.f64 2) (.f64 (neg.f64 (sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 F (fma.f64 A (.f64 C -4) (.f64 B B)))))) (/.f64 1 (fma.f64 A (.f64 C -4) (.f64 B B)))))
	56.1b	(sqrt.f64 (/.f64 (.f64 2 (.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))) (fma.f64 -4 (.f64 A C) (.f64 B B))))
	59.3b	(sqrt.f64 (.f64 (fma.f64 A (.f64 -4 C) (.f64 B B)) (/.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (/.f64 (pow.f64 (fma.f64 A (.f64 -4 C) (.f64 B B)) 2) (.f64 2 F)))))
	57.4b	(sqrt.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (/.f64 2 (/.f64 (fma.f64 A (.f64 C -4) (*.f64 B B)) F))))
	57.5b	(sqrt.f64 (.f64 1 (/.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (/.f64 (-.f64 (.f64 (.f64 A C) 4) (.f64 B B)) (*.f64 F -2)))))
	59.7b	(sqrt.f64 (.f64 1 (/.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 F)) (/.f64 (-.f64 (.f64 (.f64 B B) (.f64 B B)) (pow.f64 (.f64 C (.f64 A -4)) 2)) (-.f64 (.f64 B B) (.f64 C (*.f64 A -4)))))))
	56.4b	(sqrt.f64 (.f64 1 (/.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 F)) (+.f64 (.f64 C (.f64 A -4)) (.f64 B B)))))
	59.9b	(sqrt.f64 (.f64 1 (/.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 F)) (log1p.f64 (expm1.f64 (fma.f64 A (.f64 C -4) (*.f64 B B)))))))
	57.4b	(sqrt.f64 (.f64 1 (-.f64 (/.f64 (+.f64 A C) (/.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 2 F))) (/.f64 (hypot.f64 B (-.f64 A C)) (/.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (*.f64 2 F))))))
	62.9b	(sqrt.f64 (.f64 1 (.f64 (/.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (hypot.f64 B (sqrt.f64 (.f64 C (.f64 A -4))))) (/.f64 (.f64 2 F) (hypot.f64 B (sqrt.f64 (.f64 C (*.f64 A -4))))))))
▶	57.1b	(sqrt.f64 (.f64 1 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (/.f64 (.f64 F -2) (-.f64 (.f64 C (.f64 A 4)) (.f64 B B))))))
	56.0b	(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (fma.f64 A (.f64 C -4) (.f64 B B))) (*.f64 2 F))) 1/2))
▶	57.3b	(cbrt.f64 (pow.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (/.f64 (.f64 2 F) (fma.f64 B B (.f64 A (.f64 C -4))))) 3/2))

Compiler

Compiled 4299 to 2704 computations (37.1% saved)

localize57.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.4b	(-.f64 C (hypot.f64 (-.f64 A C) B))
✓	9.0b	(.f64 (fma.f64 B B (.f64 -4 (.f64 A C))) (.f64 F 2))
✓	21.8b	(sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))) (.f64 (fma.f64 B B (.f64 -4 (.f64 A C))) (*.f64 F 2))))
✓	25.7b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))) (.f64 (fma.f64 B B (.f64 -4 (.f64 A C))) (.f64 F 2))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))

Compiler

Compiled 186 to 68 computations (63.4% saved)

series993.0ms (2.5%)

Counts

4 → 0

Calls

45 calls:

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

Compiler

Compiled 86830 to 58090 computations (33.1% saved)

rewrite102.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

422×	`log1p-udef_binary64`
270×	`add-sqr-sqrt_binary64`
262×	`pow1_binary64`
261×	`*-un-lft-identity_binary64`
251×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	110
1	551	108
2	7722	108

Stop Event

1×	node limit

Counts

4 → 146

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C 4))) (.f64 (.f64 F 2) (-.f64 (+.f64 A C) (hypot.f64 (-.f64 A C) B))))) (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 (fma.f64 B B (.f64 A (.f64 C 4))) (.f64 (.f64 F 2) (-.f64 (+.f64 A C) (hypot.f64 (-.f64 A C) B))))) (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 (fma.f64 B B (.f64 A (.f64 C 4))) (.f64 (.f64 F 2) (-.f64 (+.f64 A C) (hypot.f64 (-.f64 A C) B))))) (fma.f64 B B (.f64 A (.f64 C 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C 4))) (.f64 (.f64 F 2) (-.f64 (+.f64 A C) (hypot.f64 (-.f64 A C) B))))) (/.f64 1 (fma.f64 B B (.f64 A (.f64 C 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C 4))) 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simplify124.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

582×	`associate-/r*_binary64`
273×	`log-prod_binary64`
225×	`associate-r_binary64`
214×	`associate-l_binary64`
212×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	351	5464
1	862	5416
2	3628	5321

Stop Event

1×	node limit

Counts

146 → 239

Calls

Call 1

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

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

localize77.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.4b	(-.f64 C (hypot.f64 B (-.f64 A C)))
✓	5.6b	(/.f64 (.f64 F -2) (-.f64 (.f64 C (.f64 A 4)) (.f64 B B)))
✓	14.7b	(.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (/.f64 (.f64 F -2) (-.f64 (.f64 C (.f64 A 4)) (*.f64 B B))))
✓	16.9b	(sqrt.f64 (.f64 1 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (/.f64 (.f64 F -2) (-.f64 (.f64 C (.f64 A 4)) (.f64 B B))))))

Compiler

Compiled 145 to 59 computations (59.3% saved)

series633.0ms (1.6%)

Counts

3 → 0

Calls

36 calls:

Time	Variable		Point	Expression
37.0ms	C	@	inf	(sqrt.f64 (.f64 1 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (/.f64 (.f64 F -2) (-.f64 (.f64 C (.f64 A 4)) (.f64 B B))))))
37.0ms	C	@	inf	(.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (/.f64 (.f64 F -2) (-.f64 (.f64 C (.f64 A 4)) (*.f64 B B))))
13.0ms	C	@	-inf	(sqrt.f64 (.f64 1 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (/.f64 (.f64 F -2) (-.f64 (.f64 C (.f64 A 4)) (.f64 B B))))))
5.0ms	A	@	inf	(sqrt.f64 (.f64 1 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (/.f64 (.f64 F -2) (-.f64 (.f64 C (.f64 A 4)) (.f64 B B))))))
4.0ms	C	@	0	(sqrt.f64 (.f64 1 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (/.f64 (.f64 F -2) (-.f64 (.f64 C (.f64 A 4)) (.f64 B B))))))

Compiler

Compiled 61520 to 41985 computations (31.8% saved)

rewrite91.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

471×	`fma-neg_binary64`
398×	`expm1-udef_binary64`
398×	`log1p-udef_binary64`
234×	`add-sqr-sqrt_binary64`
228×	`pow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	89
1	474	89
2	6606	89

Stop Event

1×	node limit

Counts

3 → 124

Calls

Call 1

Inputs

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

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (*.f64 -2 (/.f64 F (-.f64 (*.f64 4 (*.f64 A C)) (*.f64 B B)))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (*.f64 -2 (/.f64 F (-.f64 (*.f64 4 (*.f64 A C)) (*.f64 B B)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (*.f64 -2 (/.f64 F (-.f64 (*.f64 4 (*.f64 A C)) (*.f64 B B)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (*.f64 -2 (/.f64 F (-.f64 (*.f64 4 (*.f64 A C)) (*.f64 B B)))))) (pow.f64 1 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (*.f64 -2 (/.f64 F (-.f64 (*.f64 4 (*.f64 A C)) (*.f64 B B))))))) (cbrt.f64 (*.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A 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simplify86.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

512×	`fma-def_binary64`
341×	`div-sub_binary64`
322×	`associate-l_binary64`
320×	`log-prod_binary64`
307×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	314	4628
1	913	4596
2	4501	4592

Stop Event

1×	node limit

Counts

124 → 168

Calls

Call 1

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

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

localize71.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.9b	(pow.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (/.f64 (.f64 2 F) (fma.f64 B B (.f64 A (.f64 C -4))))) 3/2)
✓	5.6b	(/.f64 (.f64 2 F) (fma.f64 B B (.f64 A (*.f64 C -4))))
✓	14.7b	(.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (/.f64 (.f64 2 F) (fma.f64 B B (.f64 A (.f64 C -4)))))
✓	26.1b	(cbrt.f64 (pow.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (/.f64 (.f64 2 F) (fma.f64 B B (.f64 A (.f64 C -4))))) 3/2))

Compiler

Compiled 137 to 58 computations (57.7% saved)

series1.8s (4.4%)

Counts

4 → 0

Calls

48 calls:

Time	Variable		Point	Expression
97.0ms	F	@	-inf	(cbrt.f64 (pow.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (/.f64 (.f64 2 F) (fma.f64 B B (.f64 A (.f64 C -4))))) 3/2))
35.0ms	C	@	0	(cbrt.f64 (pow.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (/.f64 (.f64 2 F) (fma.f64 B B (.f64 A (.f64 C -4))))) 3/2))
31.0ms	F	@	inf	(cbrt.f64 (pow.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (/.f64 (.f64 2 F) (fma.f64 B B (.f64 A (.f64 C -4))))) 3/2))
31.0ms	A	@	0	(pow.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (/.f64 (.f64 2 F) (fma.f64 B B (.f64 A (.f64 C -4))))) 3/2)
29.0ms	F	@	0	(cbrt.f64 (pow.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (/.f64 (.f64 2 F) (fma.f64 B B (.f64 A (.f64 C -4))))) 3/2))

Compiler

Compiled 162095 to 117525 computations (27.5% saved)

rewrite91.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

625×	`fma-def_binary64`
397×	`expm1-udef_binary64`
397×	`log1p-udef_binary64`
322×	`fma-neg_binary64`
231×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	121
1	449	118
2	6271	118

Stop Event

1×	node limit

Counts

4 → 147

Calls

Call 1

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

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

simplify94.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

495×	`fma-def_binary64`
389×	`associate-l_binary64`
351×	`associate-r_binary64`
325×	`div-sub_binary64`
302×	`log-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	344	5292
1	922	5255
2	4594	5252

Stop Event

1×	node limit

Counts

147 → 203

Calls

Call 1

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

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

localize78.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.4b	(-.f64 C (hypot.f64 (-.f64 A C) B))
✓	9.2b	(.f64 (fma.f64 B B (.f64 (*.f64 -4 A) C)) F)
✓	25.7b	(/.f64 (neg.f64 (pow.f64 (pow.f64 (.f64 2 (.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) F) (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))))) 1/4) 2)) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
✓	36.8b	(pow.f64 (.f64 2 (.f64 (.f64 (fma.f64 B B (.f64 (*.f64 -4 A) C)) F) (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))))) 1/4)

Compiler

Compiled 238 to 99 computations (58.4% saved)

series1.2s (3%)

Counts

3 → 0

Calls

36 calls:

Time	Variable		Point	Expression
38.0ms	B	@	inf	(pow.f64 (.f64 2 (.f64 (.f64 (fma.f64 B B (.f64 (*.f64 -4 A) C)) F) (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))))) 1/4)
26.0ms	C	@	-inf	(/.f64 (neg.f64 (pow.f64 (pow.f64 (.f64 2 (.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) F) (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))))) 1/4) 2)) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
25.0ms	F	@	-inf	(pow.f64 (.f64 2 (.f64 (.f64 (fma.f64 B B (.f64 (*.f64 -4 A) C)) F) (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))))) 1/4)
21.0ms	F	@	0	(pow.f64 (.f64 2 (.f64 (.f64 (fma.f64 B B (.f64 (*.f64 -4 A) C)) F) (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))))) 1/4)
16.0ms	A	@	0	(pow.f64 (.f64 2 (.f64 (.f64 (fma.f64 B B (.f64 (*.f64 -4 A) C)) F) (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))))) 1/4)

Compiler

Compiled 119450 to 87545 computations (26.7% saved)

rewrite59.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

304×	`add-sqr-sqrt_binary64`
297×	`pow1_binary64`
294×	`*-un-lft-identity_binary64`
287×	`add-log-exp_binary64`
287×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	99
1	632	96

Stop Event

1×	node limit

Counts

3 → 84

Calls

Call 1

Inputs

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

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

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

Outputs

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

simplify69.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

484×	`distribute-rgt-in_binary64`
478×	`distribute-lft-in_binary64`
447×	`fma-def_binary64`
378×	`associate-/l*_binary64`
371×	`unswap-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	221	3647
1	535	3619
2	2042	3537

Stop Event

1×	node limit

Counts

84 → 146

Calls

Call 1

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

Outputs
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (.f64 2 (.f64 F (.f64 (fma.f64 B B (.f64 A (*.f64 C 4))) (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B)))))) 1/4))) 1)
(pow.f64 (.f64 2 (.f64 F (.f64 (fma.f64 B B (.f64 A (*.f64 C 4))) (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B)))))) 1/4)
(pow.f64 (.f64 2 (.f64 (-.f64 (+.f64 A C) (hypot.f64 (-.f64 A C) B)) (.f64 F (fma.f64 B B (.f64 C (*.f64 4 A)))))) 1/4)
(pow.f64 (.f64 2 (.f64 (fma.f64 A (.f64 C 4) (.f64 B B)) (*.f64 (-.f64 C (-.f64 (hypot.f64 (-.f64 A C) B) A)) F))) 1/4)
(.f64 1 (pow.f64 (.f64 2 (.f64 F (.f64 (fma.f64 B B (.f64 A (.f64 C 4))) (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B)))))) 1/4))
(pow.f64 (.f64 2 (.f64 F (.f64 (fma.f64 B B (.f64 A (*.f64 C 4))) (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B)))))) 1/4)
(pow.f64 (.f64 2 (.f64 (-.f64 (+.f64 A C) (hypot.f64 (-.f64 A C) B)) (.f64 F (fma.f64 B B (.f64 C (*.f64 4 A)))))) 1/4)
(pow.f64 (.f64 2 (.f64 (fma.f64 A (.f64 C 4) (.f64 B B)) (*.f64 (-.f64 C (-.f64 (hypot.f64 (-.f64 A C) B) A)) F))) 1/4)
(.f64 (cbrt.f64 (pow.f64 (.f64 2 (.f64 F (.f64 (fma.f64 B B (.f64 A (.f64 C 4))) (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B)))))) 1/4)) (cbrt.f64 (sqrt.f64 (.f64 2 (.f64 F (.f64 (fma.f64 B B (.f64 A (*.f64 C 4))) (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B)))))))))
(.f64 (cbrt.f64 (pow.f64 (.f64 2 (.f64 (-.f64 (+.f64 A C) (hypot.f64 (-.f64 A C) B)) (.f64 F (fma.f64 B B (.f64 C (.f64 4 A)))))) 1/4)) (cbrt.f64 (sqrt.f64 (.f64 2 (.f64 (-.f64 (+.f64 A C) (hypot.f64 (-.f64 A C) B)) (.f64 F (fma.f64 B B (.f64 C (*.f64 4 A)))))))))
(.f64 (cbrt.f64 (pow.f64 (.f64 2 (.f64 (fma.f64 A (.f64 C 4) (.f64 B B)) (.f64 (-.f64 C (-.f64 (hypot.f64 (-.f64 A C) B) A)) F))) 1/4)) (cbrt.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 A (.f64 C 4) (.f64 B B)) (*.f64 (-.f64 C (-.f64 (hypot.f64 (-.f64 A C) B) A)) F))))))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 2 (.f64 F (.f64 (fma.f64 B B (.f64 A (.f64 C 4))) (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B)))))))) (cbrt.f64 (pow.f64 (.f64 2 (.f64 F (.f64 (fma.f64 B B (.f64 A (*.f64 C 4))) (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B)))))) 1/4)))
(.f64 (cbrt.f64 (pow.f64 (.f64 2 (.f64 F (.f64 (fma.f64 B B (.f64 A (.f64 C 4))) (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B)))))) 1/4)) (cbrt.f64 (sqrt.f64 (.f64 2 (.f64 F (.f64 (fma.f64 B B (.f64 A (*.f64 C 4))) (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B)))))))))
(.f64 (cbrt.f64 (pow.f64 (.f64 2 (.f64 (-.f64 (+.f64 A C) (hypot.f64 (-.f64 A C) B)) (.f64 F (fma.f64 B B (.f64 C (.f64 4 A)))))) 1/4)) (cbrt.f64 (sqrt.f64 (.f64 2 (.f64 (-.f64 (+.f64 A C) (hypot.f64 (-.f64 A C) B)) (.f64 F (fma.f64 B B (.f64 C (*.f64 4 A)))))))))
(.f64 (cbrt.f64 (pow.f64 (.f64 2 (.f64 (fma.f64 A (.f64 C 4) (.f64 B B)) (.f64 (-.f64 C (-.f64 (hypot.f64 (-.f64 A C) B) A)) F))) 1/4)) (cbrt.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 A (.f64 C 4) (.f64 B B)) (*.f64 (-.f64 C (-.f64 (hypot.f64 (-.f64 A C) B) A)) F))))))
(.f64 (pow.f64 2 1/4) (pow.f64 (.f64 F (.f64 (fma.f64 B B (.f64 A (*.f64 C 4))) (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))))) 1/4))
(.f64 (pow.f64 2 1/4) (pow.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 (-.f64 A C) B)) (.f64 F (fma.f64 B B (.f64 C (*.f64 4 A))))) 1/4))
(.f64 (pow.f64 2 1/4) (pow.f64 (.f64 (fma.f64 A (.f64 C 4) (.f64 B B)) (*.f64 (-.f64 C (-.f64 (hypot.f64 (-.f64 A C) B) A)) F)) 1/4))
(.f64 (pow.f64 (.f64 F (.f64 (fma.f64 B B (.f64 A (*.f64 C 4))) (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))))) 1/4) (pow.f64 2 1/4))
(.f64 (pow.f64 2 1/4) (pow.f64 (.f64 F (.f64 (fma.f64 B B (.f64 A (*.f64 C 4))) (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))))) 1/4))
(.f64 (pow.f64 2 1/4) (pow.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 (-.f64 A C) B)) (.f64 F (fma.f64 B B (.f64 C (*.f64 4 A))))) 1/4))
(.f64 (pow.f64 2 1/4) (pow.f64 (.f64 (fma.f64 A (.f64 C 4) (.f64 B B)) (*.f64 (-.f64 C (-.f64 (hypot.f64 (-.f64 A C) B) A)) F)) 1/4))
(.f64 (pow.f64 (.f64 2 (.f64 F (.f64 (fma.f64 B B (.f64 A (.f64 C 4))) (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B)))))) 1/8) (pow.f64 (.f64 2 (.f64 F (.f64 (fma.f64 B B (.f64 A (*.f64 C 4))) (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B)))))) 1/8))
(pow.f64 (.f64 2 (.f64 F (.f64 (fma.f64 B B (.f64 A (*.f64 C 4))) (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B)))))) 1/4)
(pow.f64 (.f64 2 (.f64 (-.f64 (+.f64 A C) (hypot.f64 (-.f64 A C) B)) (.f64 F (fma.f64 B B (.f64 C (*.f64 4 A)))))) 1/4)
(pow.f64 (.f64 2 (.f64 (fma.f64 A (.f64 C 4) (.f64 B B)) (*.f64 (-.f64 C (-.f64 (hypot.f64 (-.f64 A C) B) A)) F))) 1/4)
(.f64 (sqrt.f64 -1) (pow.f64 (.f64 2 (.f64 F (.f64 (fma.f64 B B (.f64 A (.f64 C 4))) (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B)))))) 1/4))
(.f64 (pow.f64 (.f64 2 (.f64 F (.f64 (fma.f64 B B (.f64 A (.f64 C 4))) (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B)))))) 1/4) (sqrt.f64 -1))
(.f64 (pow.f64 (.f64 2 (.f64 (-.f64 (+.f64 A C) (hypot.f64 (-.f64 A C) B)) (.f64 F (fma.f64 B B (.f64 C (.f64 4 A)))))) 1/4) (sqrt.f64 -1))
(.f64 (pow.f64 (.f64 2 (.f64 (fma.f64 A (.f64 C 4) (.f64 B B)) (.f64 (-.f64 C (-.f64 (hypot.f64 (-.f64 A C) B) A)) F))) 1/4) (sqrt.f64 -1))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 2 (.f64 F (.f64 (fma.f64 B B (.f64 A (.f64 C 4))) (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B)))))))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (.f64 2 (.f64 F (.f64 (fma.f64 B B (.f64 A (*.f64 C 4))) (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))))))))))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 2 (.f64 (-.f64 (+.f64 A C) (hypot.f64 (-.f64 A C) B)) (.f64 F (fma.f64 B B (.f64 C (.f64 4 A)))))))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (.f64 2 (.f64 (-.f64 (+.f64 A C) (hypot.f64 (-.f64 A C) B)) (.f64 F (fma.f64 B B (.f64 C (*.f64 4 A))))))))))
(.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 A (.f64 C 4) (.f64 B B)) (.f64 (-.f64 C (-.f64 (hypot.f64 (-.f64 A C) B) A)) F)))))) (sqrt.f64 (cbrt.f64 (.f64 2 (.f64 (fma.f64 A (.f64 C 4) (.f64 B B)) (*.f64 (-.f64 C (-.f64 (hypot.f64 (-.f64 A C) B) A)) F))))))
(.f64 (pow.f64 1 1/4) (pow.f64 (.f64 2 (.f64 F (.f64 (fma.f64 B B (.f64 A (.f64 C 4))) (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B)))))) 1/4))
(pow.f64 (.f64 2 (.f64 F (.f64 (fma.f64 B B (.f64 A (*.f64 C 4))) (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B)))))) 1/4)
(pow.f64 (.f64 2 (.f64 (-.f64 (+.f64 A C) (hypot.f64 (-.f64 A C) B)) (.f64 F (fma.f64 B B (.f64 C (*.f64 4 A)))))) 1/4)
(pow.f64 (.f64 2 (.f64 (fma.f64 A (.f64 C 4) (.f64 B B)) (*.f64 (-.f64 C (-.f64 (hypot.f64 (-.f64 A C) B) A)) F))) 1/4)
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 2 (.f64 F (.f64 (fma.f64 B B (.f64 A (.f64 C 4))) (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))))))) 2) 1/4) (pow.f64 (cbrt.f64 (.f64 2 (.f64 F (.f64 (fma.f64 B B (.f64 A (*.f64 C 4))) (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))))))) 1/4))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 2 (.f64 (-.f64 (+.f64 A C) (hypot.f64 (-.f64 A C) B)) (.f64 F (fma.f64 B B (.f64 C (.f64 4 A))))))) 2) 1/4) (pow.f64 (cbrt.f64 (.f64 2 (.f64 (-.f64 (+.f64 A C) (hypot.f64 (-.f64 A C) B)) (.f64 F (fma.f64 B B (.f64 C (*.f64 4 A))))))) 1/4))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 2 (.f64 (fma.f64 A (.f64 C 4) (.f64 B B)) (.f64 (-.f64 C (-.f64 (hypot.f64 (-.f64 A C) B) A)) F)))) 2) 1/4) (pow.f64 (cbrt.f64 (.f64 2 (.f64 (fma.f64 A (.f64 C 4) (.f64 B B)) (*.f64 (-.f64 C (-.f64 (hypot.f64 (-.f64 A C) B) A)) F)))) 1/4))
(.f64 (pow.f64 (sqrt.f64 (.f64 2 (.f64 F (.f64 (fma.f64 B B (.f64 A (.f64 C 4))) (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))))))) 1/4) (pow.f64 (sqrt.f64 (.f64 2 (.f64 F (.f64 (fma.f64 B B (.f64 A (*.f64 C 4))) (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))))))) 1/4))
(pow.f64 (sqrt.f64 (.f64 2 (.f64 F (.f64 (fma.f64 B B (.f64 A (*.f64 C 4))) (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))))))) 1/2)
(sqrt.f64 (sqrt.f64 (.f64 2 (.f64 (-.f64 (+.f64 A C) (hypot.f64 (-.f64 A C) B)) (.f64 F (fma.f64 B B (.f64 C (*.f64 4 A))))))))
(sqrt.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 A (.f64 C 4) (.f64 B B)) (*.f64 (-.f64 C (-.f64 (hypot.f64 (-.f64 A C) B) A)) F)))))
(.f64 (pow.f64 (.f64 2 (.f64 F (fma.f64 B B (.f64 A (*.f64 C 4))))) 1/4) (pow.f64 (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))) 1/4))
(.f64 (pow.f64 (.f64 2 (.f64 F (fma.f64 B B (.f64 C (*.f64 4 A))))) 1/4) (pow.f64 (-.f64 (+.f64 A C) (hypot.f64 (-.f64 A C) B)) 1/4))
(.f64 (pow.f64 (.f64 (fma.f64 A (.f64 C 4) (.f64 B B)) (+.f64 F F)) 1/4) (pow.f64 (-.f64 C (-.f64 (hypot.f64 (-.f64 A C) B) A)) 1/4))
(sqrt.f64 (sqrt.f64 (.f64 2 (.f64 F (.f64 (fma.f64 B B (.f64 A (*.f64 C 4))) (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))))))))
(pow.f64 (sqrt.f64 (.f64 2 (.f64 F (.f64 (fma.f64 B B (.f64 A (*.f64 C 4))) (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))))))) 1/2)
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(sqrt.f64 (/.f64 2 (/.f64 (pow.f64 (fma.f64 B B (.f64 A (.f64 C 4))) 2) (.f64 F (.f64 (fma.f64 B B (.f64 A (.f64 C 4))) (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))))))))
(sqrt.f64 (.f64 (/.f64 2 (pow.f64 (fma.f64 B B (.f64 C (.f64 4 A))) 2)) (.f64 (-.f64 (+.f64 A C) (hypot.f64 (-.f64 A C) B)) (.f64 F (fma.f64 B B (.f64 C (*.f64 4 A)))))))
(sqrt.f64 (.f64 (/.f64 F (/.f64 (fma.f64 A (.f64 C 4) (*.f64 B B)) 2)) (-.f64 C (-.f64 (hypot.f64 (-.f64 A C) B) A))))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 (.f64 2 (.f64 F (.f64 (fma.f64 B B (.f64 A (.f64 C 4))) (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))))))) (fma.f64 B B (.f64 A (*.f64 C 4))))))
(/.f64 (sqrt.f64 (.f64 2 (.f64 F (.f64 (fma.f64 B B (.f64 A (.f64 C 4))) (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))))))) (fma.f64 B B (.f64 A (*.f64 C 4))))
(/.f64 (sqrt.f64 (.f64 2 (.f64 (-.f64 (+.f64 A C) (hypot.f64 (-.f64 A C) B)) (.f64 F (fma.f64 B B (.f64 C (.f64 4 A))))))) (fma.f64 B B (.f64 C (*.f64 4 A))))
(/.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 A (.f64 C 4) (.f64 B B)) (.f64 (-.f64 C (-.f64 (hypot.f64 (-.f64 A C) B) A)) F)))) (fma.f64 A (.f64 C 4) (*.f64 B B)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (.f64 2 (.f64 F (.f64 (fma.f64 B B (.f64 A (.f64 C 4))) (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))))))) (fma.f64 B B (.f64 A (*.f64 C 4)))))))
(/.f64 (sqrt.f64 (.f64 2 (.f64 F (.f64 (fma.f64 B B (.f64 A (.f64 C 4))) (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))))))) (fma.f64 B B (.f64 A (*.f64 C 4))))
(/.f64 (sqrt.f64 (.f64 2 (.f64 (-.f64 (+.f64 A C) (hypot.f64 (-.f64 A C) B)) (.f64 F (fma.f64 B B (.f64 C (.f64 4 A))))))) (fma.f64 B B (.f64 C (*.f64 4 A))))
(/.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 A (.f64 C 4) (.f64 B B)) (.f64 (-.f64 C (-.f64 (hypot.f64 (-.f64 A C) B) A)) F)))) (fma.f64 A (.f64 C 4) (*.f64 B B)))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 2 (.f64 F (.f64 (fma.f64 B B (.f64 A (.f64 C 4))) (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))))))) (fma.f64 B B (.f64 A (*.f64 C 4)))) 3))
(/.f64 (sqrt.f64 (.f64 2 (.f64 F (.f64 (fma.f64 B B (.f64 A (.f64 C 4))) (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))))))) (fma.f64 B B (.f64 A (*.f64 C 4))))
(/.f64 (sqrt.f64 (.f64 2 (.f64 (-.f64 (+.f64 A C) (hypot.f64 (-.f64 A C) B)) (.f64 F (fma.f64 B B (.f64 C (.f64 4 A))))))) (fma.f64 B B (.f64 C (*.f64 4 A))))
(/.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 A (.f64 C 4) (.f64 B B)) (.f64 (-.f64 C (-.f64 (hypot.f64 (-.f64 A C) B) A)) F)))) (fma.f64 A (.f64 C 4) (*.f64 B B)))
(cbrt.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 2 (.f64 F (.f64 (fma.f64 B B (.f64 A (.f64 C 4))) (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))))))) 3) (pow.f64 (fma.f64 B B (.f64 A (*.f64 C 4))) 3)))
(/.f64 (sqrt.f64 (.f64 2 (.f64 F (.f64 (fma.f64 B B (.f64 A (.f64 C 4))) (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))))))) (fma.f64 B B (.f64 A (*.f64 C 4))))
(/.f64 (sqrt.f64 (.f64 2 (.f64 (-.f64 (+.f64 A C) (hypot.f64 (-.f64 A C) B)) (.f64 F (fma.f64 B B (.f64 C (.f64 4 A))))))) (fma.f64 B B (.f64 C (*.f64 4 A))))
(/.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 A (.f64 C 4) (.f64 B B)) (.f64 (-.f64 C (-.f64 (hypot.f64 (-.f64 A C) B) A)) F)))) (fma.f64 A (.f64 C 4) (*.f64 B B)))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (.f64 2 (.f64 F (.f64 (fma.f64 B B (.f64 A (.f64 C 4))) (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))))))) (fma.f64 B B (.f64 A (*.f64 C 4))))))
(/.f64 (sqrt.f64 (.f64 2 (.f64 F (.f64 (fma.f64 B B (.f64 A (.f64 C 4))) (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))))))) (fma.f64 B B (.f64 A (*.f64 C 4))))
(/.f64 (sqrt.f64 (.f64 2 (.f64 (-.f64 (+.f64 A C) (hypot.f64 (-.f64 A C) B)) (.f64 F (fma.f64 B B (.f64 C (.f64 4 A))))))) (fma.f64 B B (.f64 C (*.f64 4 A))))
(/.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 A (.f64 C 4) (.f64 B B)) (.f64 (-.f64 C (-.f64 (hypot.f64 (-.f64 A C) B) A)) F)))) (fma.f64 A (.f64 C 4) (*.f64 B B)))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (.f64 2 (.f64 F (.f64 (fma.f64 B B (.f64 A (.f64 C 4))) (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))))))) (fma.f64 B B (.f64 A (*.f64 C 4))))))
(/.f64 (sqrt.f64 (.f64 2 (.f64 F (.f64 (fma.f64 B B (.f64 A (.f64 C 4))) (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))))))) (fma.f64 B B (.f64 A (*.f64 C 4))))
(/.f64 (sqrt.f64 (.f64 2 (.f64 (-.f64 (+.f64 A C) (hypot.f64 (-.f64 A C) B)) (.f64 F (fma.f64 B B (.f64 C (.f64 4 A))))))) (fma.f64 B B (.f64 C (*.f64 4 A))))
(/.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 A (.f64 C 4) (.f64 B B)) (.f64 (-.f64 C (-.f64 (hypot.f64 (-.f64 A C) B) A)) F)))) (fma.f64 A (.f64 C 4) (*.f64 B B)))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (.f64 2 (.f64 F (.f64 (fma.f64 B B (.f64 A (.f64 C 4))) (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))))))) (fma.f64 B B (.f64 A (*.f64 C 4))))))
(/.f64 (sqrt.f64 (.f64 2 (.f64 F (.f64 (fma.f64 B B (.f64 A (.f64 C 4))) (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))))))) (fma.f64 B B (.f64 A (*.f64 C 4))))
(/.f64 (sqrt.f64 (.f64 2 (.f64 (-.f64 (+.f64 A C) (hypot.f64 (-.f64 A C) B)) (.f64 F (fma.f64 B B (.f64 C (.f64 4 A))))))) (fma.f64 B B (.f64 C (*.f64 4 A))))
(/.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 A (.f64 C 4) (.f64 B B)) (.f64 (-.f64 C (-.f64 (hypot.f64 (-.f64 A C) B) A)) F)))) (fma.f64 A (.f64 C 4) (*.f64 B B)))
(exp.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 (.f64 2 (.f64 F (.f64 (fma.f64 B B (.f64 A (.f64 C 4))) (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))))))) (fma.f64 B B (.f64 A (.f64 C 4))))) 1))
(/.f64 (sqrt.f64 (.f64 2 (.f64 F (.f64 (fma.f64 B B (.f64 A (.f64 C 4))) (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))))))) (fma.f64 B B (.f64 A (*.f64 C 4))))
(/.f64 (sqrt.f64 (.f64 2 (.f64 (-.f64 (+.f64 A C) (hypot.f64 (-.f64 A C) B)) (.f64 F (fma.f64 B B (.f64 C (.f64 4 A))))))) (fma.f64 B B (.f64 C (*.f64 4 A))))
(/.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 A (.f64 C 4) (.f64 B B)) (.f64 (-.f64 C (-.f64 (hypot.f64 (-.f64 A C) B) A)) F)))) (fma.f64 A (.f64 C 4) (*.f64 B B)))
(+.f64 (.f64 F (fma.f64 B B (.f64 A (.f64 C 4)))) (.f64 (+.f64 (.f64 A (.f64 C 4)) (.f64 A (.f64 C 4))) F))
(.f64 F (+.f64 (fma.f64 B B (.f64 A (.f64 C 4))) (.f64 (*.f64 C 4) (+.f64 A A))))
(.f64 F (+.f64 (fma.f64 B B (.f64 C (.f64 4 A))) (.f64 A (*.f64 C 8))))
(.f64 F (fma.f64 B B (.f64 (*.f64 A C) 12)))
(+.f64 (.f64 F (fma.f64 B B (.f64 A (.f64 C 4)))) (.f64 F (+.f64 (.f64 A (.f64 C 4)) (.f64 A (.f64 C 4)))))
(.f64 F (+.f64 (fma.f64 B B (.f64 A (.f64 C 4))) (.f64 (*.f64 C 4) (+.f64 A A))))
(.f64 F (+.f64 (fma.f64 B B (.f64 C (.f64 4 A))) (.f64 A (*.f64 C 8))))
(.f64 F (fma.f64 B B (.f64 (*.f64 A C) 12)))
(+.f64 (.f64 (.f64 B B) F) (.f64 (.f64 A (*.f64 C 4)) F))
(.f64 F (fma.f64 B B (.f64 A (*.f64 C 4))))
(.f64 F (fma.f64 B B (.f64 C (*.f64 4 A))))
(.f64 F (fma.f64 A (.f64 C 4) (*.f64 B B)))
(+.f64 (.f64 F (.f64 B B)) (.f64 F (.f64 A (*.f64 C 4))))
(.f64 F (fma.f64 B B (.f64 A (*.f64 C 4))))
(.f64 F (fma.f64 B B (.f64 C (*.f64 4 A))))
(.f64 F (fma.f64 A (.f64 C 4) (*.f64 B B)))
(-.f64 (exp.f64 (log1p.f64 (.f64 F (fma.f64 B B (.f64 A (*.f64 C 4)))))) 1)
(.f64 F (fma.f64 B B (.f64 A (*.f64 C 4))))
(.f64 F (fma.f64 B B (.f64 C (*.f64 4 A))))
(.f64 F (fma.f64 A (.f64 C 4) (*.f64 B B)))
(/.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 A (.f64 C 4)) (*.f64 B B)))))
(/.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)) (fma.f64 A (.f64 C (.f64 4 (fma.f64 B B (.f64 C (*.f64 4 A))))) (pow.f64 B 4))) F)
(.f64 (/.f64 (fma.f64 (pow.f64 (.f64 A C) 3) -64 (pow.f64 B 6)) (fma.f64 A (.f64 4 (.f64 C (fma.f64 A (.f64 C 4) (.f64 B B)))) (pow.f64 B 4))) F)
(/.f64 (.f64 (pow.f64 (fma.f64 B B (.f64 A (.f64 C 4))) 2) F) (fma.f64 B B (.f64 A (*.f64 C 4))))
(.f64 F (fma.f64 B B (.f64 A (*.f64 C 4))))
(.f64 F (fma.f64 B B (.f64 C (*.f64 4 A))))
(.f64 F (fma.f64 A (.f64 C 4) (*.f64 B B)))
(/.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 A (.f64 C 4)) (*.f64 B B)))))
(/.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)) (fma.f64 A (.f64 C (.f64 4 (fma.f64 B B (.f64 C (*.f64 4 A))))) (pow.f64 B 4))) F)
(.f64 (/.f64 (fma.f64 (pow.f64 (.f64 A C) 3) -64 (pow.f64 B 6)) (fma.f64 A (.f64 4 (.f64 C (fma.f64 A (.f64 C 4) (.f64 B B)))) (pow.f64 B 4))) F)
(/.f64 (.f64 F (pow.f64 (fma.f64 B B (.f64 A (.f64 C 4))) 2)) (fma.f64 B B (.f64 A (*.f64 C 4))))
(.f64 F (fma.f64 B B (.f64 A (*.f64 C 4))))
(.f64 F (fma.f64 B B (.f64 C (*.f64 4 A))))
(.f64 F (fma.f64 A (.f64 C 4) (*.f64 B B)))
(pow.f64 (.f64 F (fma.f64 B B (.f64 A (*.f64 C 4)))) 1)
(.f64 F (fma.f64 B B (.f64 A (*.f64 C 4))))
(.f64 F (fma.f64 B B (.f64 C (*.f64 4 A))))
(.f64 F (fma.f64 A (.f64 C 4) (*.f64 B B)))
(pow.f64 (pow.f64 (.f64 F (fma.f64 B B (.f64 A (*.f64 C 4)))) 3) 1/3)
(.f64 F (fma.f64 B B (.f64 A (*.f64 C 4))))
(.f64 F (fma.f64 B B (.f64 C (*.f64 4 A))))
(.f64 F (fma.f64 A (.f64 C 4) (*.f64 B B)))
(pow.f64 (cbrt.f64 (.f64 F (fma.f64 B B (.f64 A (*.f64 C 4))))) 3)
(.f64 F (fma.f64 B B (.f64 A (*.f64 C 4))))
(.f64 F (fma.f64 B B (.f64 C (*.f64 4 A))))
(.f64 F (fma.f64 A (.f64 C 4) (*.f64 B B)))
(pow.f64 (sqrt.f64 (.f64 F (fma.f64 B B (.f64 A (*.f64 C 4))))) 2)
(.f64 F (fma.f64 B B (.f64 A (*.f64 C 4))))
(.f64 F (fma.f64 B B (.f64 C (*.f64 4 A))))
(.f64 F (fma.f64 A (.f64 C 4) (*.f64 B B)))
(sqrt.f64 (pow.f64 (.f64 F (fma.f64 B B (.f64 A (*.f64 C 4)))) 2))
(.f64 F (fma.f64 B B (.f64 A (*.f64 C 4))))
(.f64 F (fma.f64 B B (.f64 C (*.f64 4 A))))
(.f64 F (fma.f64 A (.f64 C 4) (*.f64 B B)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 B B (.f64 A (.f64 C 4)))) F))
(.f64 F (fma.f64 B B (.f64 A (*.f64 C 4))))
(.f64 F (fma.f64 B B (.f64 C (*.f64 4 A))))
(.f64 F (fma.f64 A (.f64 C 4) (*.f64 B B)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 F (fma.f64 B B (.f64 A (*.f64 C 4)))))))
(.f64 F (fma.f64 B B (.f64 A (*.f64 C 4))))
(.f64 F (fma.f64 B B (.f64 C (*.f64 4 A))))
(.f64 F (fma.f64 A (.f64 C 4) (*.f64 B B)))
(cbrt.f64 (pow.f64 (.f64 F (fma.f64 B B (.f64 A (*.f64 C 4)))) 3))
(.f64 F (fma.f64 B B (.f64 A (*.f64 C 4))))
(.f64 F (fma.f64 B B (.f64 C (*.f64 4 A))))
(.f64 F (fma.f64 A (.f64 C 4) (*.f64 B B)))
(cbrt.f64 (.f64 (pow.f64 F 3) (pow.f64 (fma.f64 B B (.f64 A (*.f64 C 4))) 3)))
(.f64 F (fma.f64 B B (.f64 A (*.f64 C 4))))
(.f64 F (fma.f64 B B (.f64 C (*.f64 4 A))))
(.f64 F (fma.f64 A (.f64 C 4) (*.f64 B B)))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 B B (.f64 A (*.f64 C 4))) 3) (pow.f64 F 3)))
(.f64 F (fma.f64 B B (.f64 A (*.f64 C 4))))
(.f64 F (fma.f64 B B (.f64 C (*.f64 4 A))))
(.f64 F (fma.f64 A (.f64 C 4) (*.f64 B B)))
(expm1.f64 (log1p.f64 (.f64 F (fma.f64 B B (.f64 A (*.f64 C 4))))))
(.f64 F (fma.f64 B B (.f64 A (*.f64 C 4))))
(.f64 F (fma.f64 B B (.f64 C (*.f64 4 A))))
(.f64 F (fma.f64 A (.f64 C 4) (*.f64 B B)))
(log1p.f64 (expm1.f64 (.f64 F (fma.f64 B B (.f64 A (*.f64 C 4))))))
(.f64 F (fma.f64 B B (.f64 A (*.f64 C 4))))
(.f64 F (fma.f64 B B (.f64 C (*.f64 4 A))))
(.f64 F (fma.f64 A (.f64 C 4) (*.f64 B B)))
(exp.f64 (log.f64 (.f64 F (fma.f64 B B (.f64 A (*.f64 C 4))))))
(.f64 F (fma.f64 B B (.f64 A (*.f64 C 4))))
(.f64 F (fma.f64 B B (.f64 C (*.f64 4 A))))
(.f64 F (fma.f64 A (.f64 C 4) (*.f64 B B)))
(exp.f64 (.f64 (log.f64 (.f64 F (fma.f64 B B (.f64 A (.f64 C 4))))) 1))
(.f64 F (fma.f64 B B (.f64 A (*.f64 C 4))))
(.f64 F (fma.f64 B B (.f64 C (*.f64 4 A))))
(.f64 F (fma.f64 A (.f64 C 4) (*.f64 B B)))

localize138.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	9.2b	(.f64 (fma.f64 B B (.f64 (*.f64 -4 A) C)) F)
✓	21.8b	(sqrt.f64 (expm1.f64 (log1p.f64 (.f64 2 (.f64 (.f64 (fma.f64 B B (.f64 (*.f64 -4 A) C)) F) (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))))))))
✓	25.7b	(/.f64 (neg.f64 (sqrt.f64 (expm1.f64 (log1p.f64 (.f64 2 (.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) F) (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
✓	30.0b	(log1p.f64 (.f64 2 (.f64 (.f64 (fma.f64 B B (.f64 (*.f64 -4 A) C)) F) (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))))))

Compiler

Compiled 257 to 104 computations (59.5% saved)

series977.0ms (2.5%)

Counts

3 → 0

Calls

36 calls:

Time	Variable		Point	Expression
4.0ms	B	@	0	(log1p.f64 (.f64 2 (.f64 (.f64 (fma.f64 B B (.f64 (*.f64 -4 A) C)) F) (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))))))
3.0ms	C	@	0	(log1p.f64 (.f64 2 (.f64 (.f64 (fma.f64 B B (.f64 (*.f64 -4 A) C)) F) (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))))))
3.0ms	A	@	inf	(log1p.f64 (.f64 2 (.f64 (.f64 (fma.f64 B B (.f64 (*.f64 -4 A) C)) F) (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))))))
3.0ms	A	@	0	(log1p.f64 (.f64 2 (.f64 (.f64 (fma.f64 B B (.f64 (*.f64 -4 A) C)) F) (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))))))
2.0ms	F	@	inf	(log1p.f64 (.f64 2 (.f64 (.f64 (fma.f64 B B (.f64 (*.f64 -4 A) C)) F) (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))))))

Compiler

Compiled 107280 to 72905 computations (32% saved)

rewrite58.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

291×	`add-sqr-sqrt_binary64`
284×	`pow1_binary64`
282×	`*-un-lft-identity_binary64`
272×	`expm1-log1p-u_binary64`
271×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	117
1	598	115

Stop Event

1×	node limit

Counts

3 → 96

Calls

Call 1

Inputs

(log1p.f64 (*.f64 2 (*.f64 (*.f64 (fma.f64 B B (*.f64 (*.f64 -4 A) C)) F) (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))))))

(/.f64 (neg.f64 (sqrt.f64 (expm1.f64 (log1p.f64 (*.f64 2 (*.f64 (*.f64 (fma.f64 B B (*.f64 (*.f64 -4 A) C)) F) (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))))))))) (-.f64 (*.f64 B B) (*.f64 4 (*.f64 A C))))

(sqrt.f64 (expm1.f64 (log1p.f64 (*.f64 2 (*.f64 (*.f64 (fma.f64 B B (*.f64 (*.f64 -4 A) C)) F) (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))))))))

Outputs

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simplify82.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

602×	`fma-def_binary64`
508×	`distribute-rgt-in_binary64`
487×	`distribute-lft-in_binary64`
428×	`unswap-sqr_binary64`
194×	`log-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	226	4621
1	510	4596
2	2326	4580

Stop Event

1×	node limit

Counts

96 → 158

Calls

Call 1

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

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

eval547.0ms (1.4%)

Compiler: Compiled 41740 to 18278 computations (56.2% saved)

prune437.0ms (1.1%)

Pruning

80 alts after pruning (75 fresh and 5 done)

	Pruned	Kept	Total
New	992	32	1024
Fresh	7	43	50
Picked	0	1	1
Done	3	4	7
Total	1002	80	1082

Error

39.0b

Counts

1082 → 80

Alt Table

Click to see full alt table

Status	Error	Program
	57.1b	(pow.f64 (pow.f64 (.f64 (/.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (fma.f64 A (.f64 C -4) (.f64 B B))) (.f64 2 F)) 3/2) 1/3)
	58.0b	(pow.f64 (pow.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 -2 (/.f64 F (-.f64 (.f64 4 (.f64 A C)) (*.f64 B B))))) 3/2) 1/3)
	57.5b	(pow.f64 (pow.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 -2 (/.f64 F (-.f64 (.f64 4 (.f64 A C)) (*.f64 B B))))) 1/4) 2)
	63.6b	(pow.f64 (/.f64 (pow.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C 4))) (.f64 (.f64 F 2) (-.f64 (+.f64 A C) (hypot.f64 (-.f64 A C) B)))) 1/4) (hypot.f64 B (.f64 2 (sqrt.f64 (*.f64 A C))))) 2)
	55.5b	(pow.f64 (.f64 (/.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (fma.f64 A (.f64 C -4) (.f64 B B))) (.f64 2 F)) 1/2)
	63.0b	(/.f64 (sqrt.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 F))) (hypot.f64 B (sqrt.f64 (.f64 C (.f64 A -4)))))
	63.5b	(/.f64 (sqrt.f64 (.f64 (+.f64 (hypot.f64 B (-.f64 A C)) (+.f64 A C)) (.f64 (.f64 (fma.f64 B B (.f64 C (.f64 A -4))) F) 2))) (fma.f64 B B (.f64 C (*.f64 A -4))))
	57.4b	(/.f64 (sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 F -2))) (sqrt.f64 (-.f64 (.f64 C (.f64 A 4)) (*.f64 B B))))
▶	57.2b	(/.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 A (.f64 C 4) (.f64 B B)) (.f64 (-.f64 C (-.f64 (hypot.f64 (-.f64 A C) B) A)) F)))) (-.f64 (.f64 (.f64 A C) -4) (.f64 B B)))
	56.0b	(/.f64 (neg.f64 (pow.f64 (pow.f64 (.f64 2 (.f64 (/.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 A (.f64 C 4)) (.f64 B B))))) (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))))) 1/4) 2)) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
	57.5b	(/.f64 (neg.f64 (pow.f64 (pow.f64 (.f64 2 (.f64 (+.f64 (.f64 (.f64 B B) F) (.f64 (.f64 A (.f64 C 4)) F)) (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))))) 1/4) 2)) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
	53.8b	(/.f64 (neg.f64 (pow.f64 (pow.f64 (.f64 2 (.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) F) (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))))) 3/2) 1/3)) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
	49.2b	(/.f64 (neg.f64 (pow.f64 (pow.f64 (.f64 2 (.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) F) (+.f64 A (+.f64 (-.f64 C (hypot.f64 (-.f64 A C) B)) (fma.f64 (neg.f64 (sqrt.f64 (hypot.f64 (-.f64 A C) B))) (sqrt.f64 (hypot.f64 (-.f64 A C) B)) (hypot.f64 (-.f64 A C) B)))))) 1/4) 2)) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
	59.2b	(/.f64 (neg.f64 (pow.f64 (exp.f64 (.f64 1/4 (log.f64 (.f64 2 (.f64 F (.f64 (fma.f64 B B (.f64 A (.f64 C 4))) (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))))))))) 2)) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
	48.4b	(/.f64 (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) F) (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))))))) 3)) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
	51.8b	(/.f64 (neg.f64 (.f64 (hypot.f64 B (sqrt.f64 (.f64 A (.f64 -4 C)))) (sqrt.f64 (.f64 (+.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) A) (.f64 2 F))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
	58.5b	(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (fma.f64 B B (.f64 C (.f64 A -4))))) (sqrt.f64 (.f64 F 2)))) (fma.f64 B B (.f64 A (*.f64 C -4))))
	49.3b	(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 (+.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) A) F)) (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) 2)))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
	53.8b	(/.f64 (neg.f64 (.f64 (sqrt.f64 2) (pow.f64 (pow.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 F (fma.f64 A (.f64 C -4) (.f64 B B)))) 3/2) 1/3))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
	49.3b	(/.f64 (neg.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (fma.f64 A (.f64 C -4) (.f64 B B))) (sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) F))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
	48.8b	(/.f64 (neg.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (fma.f64 B B (.f64 -4 (.f64 A C))) (.f64 F (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B)))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
	63.4b	(/.f64 (neg.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 (pow.f64 (pow.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) 3) 1/3) F))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
	62.9b	(/.f64 (neg.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 (log.f64 (exp.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))) F))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
	63.4b	(/.f64 (neg.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 (exp.f64 (log.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))) F))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
	56.4b	(/.f64 (neg.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 (cbrt.f64 (pow.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) 3)) F))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
▶	48.1b	(/.f64 (neg.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 F (fma.f64 A (.f64 C -4) (.f64 B B))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
	60.8b	(/.f64 (neg.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) 3) (pow.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) F) 3)))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
▶	49.2b	(/.f64 (neg.f64 (.f64 (sqrt.f64 2) (exp.f64 (.f64 (log.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 F (fma.f64 A (.f64 C -4) (.f64 B B))))) 1/2)))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
✓	48.8b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) (.f64 2 (.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
	55.9b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))) (/.f64 (.f64 (-.f64 (pow.f64 B 6) (.f64 64 (pow.f64 (.f64 A C) 3))) (.f64 F 2)) (+.f64 (pow.f64 B 4) (.f64 (.f64 A (.f64 C 4)) (fma.f64 B B (.f64 A (.f64 C 4))))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
✓	48.1b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))) (.f64 (fma.f64 B B (.f64 -4 (.f64 A C))) (.f64 F 2))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
	57.4b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))) (.f64 F (.f64 2 (+.f64 (.f64 B B) (.f64 (.f64 A C) 12))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
	63.4b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))) (sqrt.f64 (pow.f64 (.f64 (.f64 F 2) (fma.f64 B B (.f64 A (.f64 C 4)))) 2))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
	49.1b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F)) (-.f64 (+.f64 A C) (pow.f64 (sqrt.f64 (hypot.f64 B (-.f64 A C))) 2))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
	49.2b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F)) (-.f64 (+.f64 A C) (pow.f64 (cbrt.f64 (hypot.f64 B (-.f64 A C))) 3))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
✓	49.0b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F)) (-.f64 (+.f64 A C) (hypot.f64 (-.f64 A C) B))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
	49.9b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F)) (-.f64 (+.f64 A C) (exp.f64 (log.f64 (hypot.f64 B (-.f64 A C)))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
✓	54.5b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 C (.f64 A -4))) (.f64 F (fma.f64 (-.f64 (.f64 A A) (.f64 C C)) (/.f64 1 (-.f64 A C)) (neg.f64 (hypot.f64 B (-.f64 A C))))))))) (fma.f64 B B (.f64 C (*.f64 A -4))))
	49.9b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 C (.f64 A -4))) (.f64 F (fma.f64 (sqrt.f64 (hypot.f64 B (-.f64 A C))) (neg.f64 (sqrt.f64 (hypot.f64 B (-.f64 A C)))) (+.f64 C A))))))) (fma.f64 B B (.f64 C (*.f64 A -4))))
	59.1b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 C (.f64 A -4))) (.f64 F (/.f64 (fma.f64 (+.f64 A C) (+.f64 A C) (neg.f64 (pow.f64 (hypot.f64 B (-.f64 A C)) 2))) (+.f64 (hypot.f64 B (-.f64 A C)) (+.f64 A C)))))))) (fma.f64 B B (.f64 C (*.f64 A -4))))
	56.6b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 C (.f64 A -4))) (.f64 F (/.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))))))))) (fma.f64 B B (.f64 C (.f64 A -4))))
	63.3b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 C (.f64 A -4))) (.f64 F (+.f64 (hypot.f64 B (-.f64 A C)) (+.f64 A C))))))) (fma.f64 B B (.f64 C (*.f64 A -4))))
	51.1b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 F (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
	63.7b	(/.f64 (neg.f64 (sqrt.f64 (.f64 -2 (.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) F) (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
✓	48.8b	(/.f64 (neg.f64 (sqrt.f64 (expm1.f64 (log1p.f64 (.f64 2 (.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) F) (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
	48.8b	(/.f64 (neg.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) F) (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
	49.1b	(/.f64 (neg.f64 (exp.f64 (.f64 (log.f64 (.f64 2 (.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) F) (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B)))))) 1/2))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
	51.8b	(/.f64 (neg.f64 (exp.f64 (.f64 (log.f64 (.f64 2 (.f64 F (.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))))) 1/2))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
▶	53.2b	(/.f64 (neg.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))) (.f64 (fma.f64 B B (.f64 -4 (.f64 A C))) (.f64 F 2))) 3/2))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
	57.1b	(/.f64 1 (sqrt.f64 (/.f64 (/.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (*.f64 2 F)) (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))))
	57.8b	(.f64 (pow.f64 (pow.f64 (.f64 (-.f64 C (-.f64 (hypot.f64 B (-.f64 A C)) A)) (.f64 2 (/.f64 F (fma.f64 A (.f64 C -4) (.f64 B B))))) 3/4) 1/3) (pow.f64 (pow.f64 (.f64 (-.f64 C (-.f64 (hypot.f64 B (-.f64 A C)) A)) (.f64 2 (/.f64 F (fma.f64 A (.f64 C -4) (*.f64 B B))))) 3/4) 1/3))
	63.1b	(.f64 (sqrt.f64 (/.f64 (.f64 -2 F) (-.f64 (.f64 4 (.f64 A C)) (*.f64 B B)))) (sqrt.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))
	49.1b	(.f64 (sqrt.f64 (.f64 (-.f64 C (-.f64 (hypot.f64 B (-.f64 A C)) A)) (.f64 F (fma.f64 A (.f64 C -4) (.f64 B B))))) (neg.f64 (/.f64 (sqrt.f64 2) (fma.f64 A (.f64 C -4) (*.f64 B B)))))
	51.1b	(.f64 (sqrt.f64 (.f64 2 (.f64 F (.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))))) (/.f64 1 (neg.f64 (fma.f64 B B (.f64 (.f64 A C) -4)))))
	48.1b	(.f64 (sqrt.f64 2) (.f64 (neg.f64 (sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 F (fma.f64 A (.f64 C -4) (.f64 B B)))))) (/.f64 1 (fma.f64 A (.f64 C -4) (.f64 B B)))))
	57.1b	(.f64 (cbrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 F (/.f64 -2 (-.f64 (.f64 A (.f64 C 4)) (.f64 B B)))))) (sqrt.f64 (cbrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 F (/.f64 -2 (-.f64 (.f64 A (.f64 C 4)) (*.f64 B B))))))))
	56.1b	(sqrt.f64 (/.f64 (.f64 2 (.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))) (fma.f64 -4 (.f64 A C) (.f64 B B))))
	59.3b	(sqrt.f64 (.f64 (fma.f64 A (.f64 -4 C) (.f64 B B)) (/.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (/.f64 (pow.f64 (fma.f64 A (.f64 -4 C) (.f64 B B)) 2) (.f64 2 F)))))
	57.5b	(sqrt.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 -2 (/.f64 F (-.f64 (.f64 A (.f64 C 4)) (*.f64 B B))))))
	57.1b	(sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (/.f64 (.f64 -2 F) (-.f64 (.f64 4 (.f64 A C)) (*.f64 B B)))))
	57.0b	(sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (/.f64 2 (/.f64 (fma.f64 C (.f64 -4 A) (*.f64 B B)) F))))
▶	57.1b	(sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 F (/.f64 -2 (-.f64 (.f64 A (.f64 C 4)) (*.f64 B B))))))
	57.5b	(sqrt.f64 (.f64 1 (/.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (/.f64 (-.f64 (.f64 (.f64 A C) 4) (.f64 B B)) (*.f64 F -2)))))
	56.4b	(sqrt.f64 (.f64 1 (/.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 F -2)) (-.f64 (.f64 4 (.f64 A C)) (.f64 B B)))))
	59.7b	(sqrt.f64 (.f64 1 (/.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 F)) (/.f64 (-.f64 (.f64 (.f64 B B) (.f64 B B)) (pow.f64 (.f64 C (.f64 A -4)) 2)) (-.f64 (.f64 B B) (.f64 C (*.f64 A -4)))))))
	59.9b	(sqrt.f64 (.f64 1 (/.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 F)) (log1p.f64 (expm1.f64 (fma.f64 A (.f64 C -4) (*.f64 B B)))))))
	56.4b	(sqrt.f64 (.f64 1 (/.f64 1 (/.f64 (-.f64 (.f64 4 (.f64 A C)) (.f64 B B)) (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 F -2))))))
	57.1b	(sqrt.f64 (.f64 1 (+.f64 (.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) (.f64 -2 (/.f64 F (-.f64 (.f64 4 (.f64 A C)) (.f64 B B))))) (.f64 A (.f64 -2 (/.f64 F (-.f64 (.f64 4 (.f64 A C)) (*.f64 B B))))))))
	62.9b	(sqrt.f64 (.f64 1 (.f64 (/.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (hypot.f64 B (sqrt.f64 (.f64 C (.f64 A -4))))) (/.f64 (.f64 2 F) (hypot.f64 B (sqrt.f64 (.f64 C (*.f64 A -4))))))))
	61.8b	(sqrt.f64 (.f64 1 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (pow.f64 (pow.f64 (.f64 -2 (/.f64 F (-.f64 (.f64 4 (.f64 A C)) (.f64 B B)))) 3) 1/3))))
	57.1b	(sqrt.f64 (.f64 1 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (pow.f64 (cbrt.f64 (.f64 -2 (/.f64 F (-.f64 (.f64 4 (.f64 A C)) (.f64 B B))))) 3))))
	60.3b	(sqrt.f64 (.f64 1 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 (/.f64 (.f64 F -2) (-.f64 (.f64 (pow.f64 (.f64 A C) 3) 64) (pow.f64 B 6))) (+.f64 (pow.f64 (.f64 4 (.f64 A C)) 2) (.f64 (.f64 B B) (fma.f64 C (.f64 A 4) (.f64 B B))))))))
	61.7b	(sqrt.f64 (.f64 1 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 (/.f64 (sqrt.f64 (.f64 F -2)) 1) (/.f64 (sqrt.f64 (.f64 F -2)) (-.f64 (.f64 4 (.f64 A C)) (.f64 B B)))))))
	61.9b	(sqrt.f64 (.f64 1 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (log.f64 (exp.f64 (.f64 -2 (/.f64 F (-.f64 (.f64 4 (.f64 A C)) (.f64 B B)))))))))
	61.9b	(sqrt.f64 (.f64 1 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (exp.f64 (log.f64 (.f64 -2 (/.f64 F (-.f64 (.f64 4 (.f64 A C)) (.f64 B B)))))))))
	62.4b	(sqrt.f64 (.f64 1 (.f64 (+.f64 A (sqrt.f64 (pow.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) 2))) (/.f64 (.f64 F -2) (-.f64 (.f64 C (.f64 A 4)) (.f64 B B))))))
	57.8b	(exp.f64 (.f64 (.f64 3/2 (log.f64 (.f64 (-.f64 C (-.f64 (hypot.f64 B (-.f64 A C)) A)) (.f64 2 (/.f64 F (fma.f64 A (.f64 C -4) (.f64 B B))))))) 1/3))
	57.8b	(exp.f64 (.f64 (log.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 -2 (/.f64 F (-.f64 (.f64 4 (.f64 A C)) (.f64 B B)))))) 1/2))
	57.4b	(cbrt.f64 (pow.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 F (/.f64 -2 (-.f64 (.f64 A (.f64 C 4)) (*.f64 B B))))) 3/2))
	58.9b	(cbrt.f64 (pow.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (expm1.f64 (log1p.f64 (.f64 2 (/.f64 F (fma.f64 A (.f64 C -4) (.f64 B B))))))) 3/2))

Compiler

Compiled 6001 to 3795 computations (36.8% saved)

localize60.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.4b	(-.f64 C (hypot.f64 B (-.f64 A C)))
✓	9.2b	(.f64 F (fma.f64 A (.f64 C -4) (*.f64 B B)))
✓	21.8b	(sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 F (fma.f64 A (.f64 C -4) (.f64 B B)))))
✓	25.7b	(/.f64 (neg.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 F (fma.f64 A (.f64 C -4) (.f64 B B))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))

Compiler

Compiled 203 to 73 computations (64% saved)

series663.0ms (1.7%)

Counts

3 → 0

Calls

36 calls:

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

Compiler

Compiled 83290 to 55645 computations (33.2% saved)

rewrite53.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

290×	`add-sqr-sqrt_binary64`
282×	`pow1_binary64`
280×	`*-un-lft-identity_binary64`
269×	`add-exp-log_binary64`
269×	`add-log-exp_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	96
1	571	92

Stop Event

1×	node limit

Counts

3 → 98

Calls

Call 1

Inputs

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

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

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

Outputs

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

simplify76.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

729×	`times-frac_binary64`
510×	`distribute-rgt-in_binary64`
502×	`distribute-lft-in_binary64`
342×	`unswap-sqr_binary64`
204×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	249	4323
1	599	4299
2	2372	4256

Stop Event

1×	node limit

Counts

98 → 150

Calls

Call 1

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

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

localize41.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.4b	(-.f64 C (hypot.f64 B (-.f64 A C)))
✓	5.0b	(.f64 F (/.f64 -2 (-.f64 (.f64 A (.f64 C 4)) (.f64 B B))))
✓	14.7b	(.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 F (/.f64 -2 (-.f64 (.f64 A (.f64 C 4)) (*.f64 B B)))))
✓	16.9b	(sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 F (/.f64 -2 (-.f64 (.f64 A (.f64 C 4)) (*.f64 B B))))))

Compiler

Compiled 125 to 50 computations (60% saved)

series475.0ms (1.2%)

Counts

3 → 0

Calls

36 calls:

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

Compiler

Compiled 61520 to 41985 computations (31.8% saved)

rewrite92.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

462×	`fma-neg_binary64`
391×	`expm1-udef_binary64`
391×	`log1p-udef_binary64`
227×	`add-sqr-sqrt_binary64`
222×	`pow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	89
1	440	89
2	6321	89

Stop Event

1×	node limit

Counts

3 → 85

Calls

Call 1

Inputs

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

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

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

Outputs

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

simplify62.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

664×	`times-frac_binary64`
636×	`associate-/l*_binary64`
363×	`associate-/r*_binary64`
258×	`fma-def_binary64`
239×	`associate-/r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	208	3022
1	518	3022
2	2328	3022

Stop Event

1×	node limit

Counts

85 → 111

Calls

Call 1

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

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

localize69.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	2.7b	(-.f64 (.f64 (.f64 A C) -4) (*.f64 B B))
✓	7.6b	(.f64 (fma.f64 A (.f64 C 4) (.f64 B B)) (.f64 (-.f64 C (-.f64 (hypot.f64 (-.f64 A C) B) A)) F))
✓	11.0b	(sqrt.f64 (.f64 2 (.f64 (fma.f64 A (.f64 C 4) (.f64 B B)) (*.f64 (-.f64 C (-.f64 (hypot.f64 (-.f64 A C) B) A)) F))))
✓	14.4b	(/.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 A (.f64 C 4) (.f64 B B)) (.f64 (-.f64 C (-.f64 (hypot.f64 (-.f64 A C) B) A)) F)))) (-.f64 (.f64 (.f64 A C) -4) (.f64 B B)))

Compiler

Compiled 175 to 52 computations (70.3% saved)

series943.0ms (2.4%)

Counts

4 → 0

Calls

45 calls:

Time	Variable		Point	Expression
28.0ms	A	@	inf	(sqrt.f64 (.f64 2 (.f64 (fma.f64 A (.f64 C 4) (.f64 B B)) (*.f64 (-.f64 C (-.f64 (hypot.f64 (-.f64 A C) B) A)) F))))
8.0ms	A	@	-inf	(/.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 A (.f64 C 4) (.f64 B B)) (.f64 (-.f64 C (-.f64 (hypot.f64 (-.f64 A C) B) A)) F)))) (-.f64 (.f64 (.f64 A C) -4) (.f64 B B)))
6.0ms	B	@	0	(/.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 A (.f64 C 4) (.f64 B B)) (.f64 (-.f64 C (-.f64 (hypot.f64 (-.f64 A C) B) A)) F)))) (-.f64 (.f64 (.f64 A C) -4) (.f64 B B)))
6.0ms	A	@	inf	(/.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 A (.f64 C 4) (.f64 B B)) (.f64 (-.f64 C (-.f64 (hypot.f64 (-.f64 A C) B) A)) F)))) (-.f64 (.f64 (.f64 A C) -4) (.f64 B B)))
5.0ms	A	@	0	(/.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 A (.f64 C 4) (.f64 B B)) (.f64 (-.f64 C (-.f64 (hypot.f64 (-.f64 A C) B) A)) F)))) (-.f64 (.f64 (.f64 A C) -4) (.f64 B B)))

Compiler

Compiled 93365 to 61730 computations (33.9% saved)

rewrite106.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

464×	`log1p-udef_binary64`
269×	`add-sqr-sqrt_binary64`
263×	`pow1_binary64`
262×	`*-un-lft-identity_binary64`
250×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	125
1	521	125
2	7429	125

Stop Event

1×	node limit

Counts

4 → 132

Calls

Call 1

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

Outputs
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simplify90.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

409×	`fma-neg_binary64`
359×	`log-prod_binary64`
305×	`cancel-sign-sub-inv_binary64`
248×	`cube-prod_binary64`
242×	`exp-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	316	5027
1	784	4941
2	3760	4939

Stop Event

1×	node limit

Counts

132 → 192

Calls

Call 1

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

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

localize76.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.4b	(-.f64 C (hypot.f64 (-.f64 A C) B))
	9.0b	(.f64 (fma.f64 B B (.f64 -4 (.f64 A C))) (.f64 F 2))
✓	25.7b	(/.f64 (neg.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))) (.f64 (fma.f64 B B (.f64 -4 (.f64 A C))) (.f64 F 2))) 3/2))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
✓	29.3b	(cbrt.f64 (pow.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))) (.f64 (fma.f64 B B (.f64 -4 (.f64 A C))) (*.f64 F 2))) 3/2))

Compiler

Compiled 217 to 84 computations (61.3% saved)

series2.1s (5.2%)

Counts

2 → 0

Calls

24 calls:

Time	Variable		Point	Expression
27.0ms	C	@	0	(/.f64 (neg.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))) (.f64 (fma.f64 B B (.f64 -4 (.f64 A C))) (.f64 F 2))) 3/2))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
25.0ms	C	@	0	(cbrt.f64 (pow.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))) (.f64 (fma.f64 B B (.f64 -4 (.f64 A C))) (*.f64 F 2))) 3/2))
15.0ms	C	@	inf	(/.f64 (neg.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))) (.f64 (fma.f64 B B (.f64 -4 (.f64 A C))) (.f64 F 2))) 3/2))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
12.0ms	C	@	inf	(cbrt.f64 (pow.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))) (.f64 (fma.f64 B B (.f64 -4 (.f64 A C))) (*.f64 F 2))) 3/2))
11.0ms	B	@	0	(cbrt.f64 (pow.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))) (.f64 (fma.f64 B B (.f64 -4 (.f64 A C))) (*.f64 F 2))) 3/2))

Compiler

Compiled 221045 to 168315 computations (23.9% saved)

rewrite50.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

292×	`add-sqr-sqrt_binary64`
282×	`pow1_binary64`
280×	`*-un-lft-identity_binary64`
273×	`add-log-exp_binary64`
273×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	89
1	597	81

Stop Event

1×	node limit

Counts

2 → 81

Calls

Call 1

Inputs

(cbrt.f64 (pow.f64 (*.f64 (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))) (*.f64 (fma.f64 B B (*.f64 -4 (*.f64 A C))) (*.f64 F 2))) 3/2))

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (sqrt.f64 (*.f64 (-.f64 (+.f64 A C) (hypot.f64 (-.f64 A C) B)) (*.f64 F (*.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 (-.f64 (+.f64 A C) (hypot.f64 (-.f64 A C) B)) (*.f64 F (*.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 (-.f64 (+.f64 A C) (hypot.f64 (-.f64 A C) B)) (*.f64 F (*.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 (-.f64 (+.f64 A C) (hypot.f64 (-.f64 A C) B)) (*.f64 F (*.f64 2 (fma.f64 B B (*.f64 A (*.f64 C -4))))))) (/.f64 1 (fma.f64 B B (*.f64 A (*.f64 C -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 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simplify124.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

499×	`fma-def_binary64`
473×	`associate-*l/_binary64`
451×	`associate-/r*_binary64`
399×	`distribute-rgt-in_binary64`
374×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	204	4115
1	465	4092
2	2037	4038

Stop Event

1×	node limit

Counts

81 → 150

Calls

Call 1

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

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

localize133.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	4.0b	(exp.f64 (.f64 (log.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 F (fma.f64 A (.f64 C -4) (*.f64 B B))))) 1/2))
	9.2b	(.f64 F (fma.f64 A (.f64 C -4) (*.f64 B B)))
✓	25.7b	(/.f64 (neg.f64 (.f64 (sqrt.f64 2) (exp.f64 (.f64 (log.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 F (fma.f64 A (.f64 C -4) (.f64 B B))))) 1/2)))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
✓	36.8b	(log.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 F (fma.f64 A (.f64 C -4) (.f64 B B)))))

Compiler

Compiled 260 to 100 computations (61.5% saved)

series1.3s (3.2%)

Counts

3 → 0

Calls

36 calls:

Time	Variable		Point	Expression
91.0ms	A	@	-inf	(/.f64 (neg.f64 (.f64 (sqrt.f64 2) (exp.f64 (.f64 (log.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 F (fma.f64 A (.f64 C -4) (.f64 B B))))) 1/2)))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
87.0ms	A	@	inf	(log.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 F (fma.f64 A (.f64 C -4) (.f64 B B)))))
44.0ms	F	@	0	(log.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 F (fma.f64 A (.f64 C -4) (.f64 B B)))))
18.0ms	F	@	-inf	(log.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 F (fma.f64 A (.f64 C -4) (.f64 B B)))))
6.0ms	F	@	inf	(log.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 F (fma.f64 A (.f64 C -4) (.f64 B B)))))

Compiler

Compiled 104280 to 71000 computations (31.9% saved)

rewrite62.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

315×	`add-sqr-sqrt_binary64`
306×	`pow1_binary64`
305×	`*-un-lft-identity_binary64`
294×	`add-log-exp_binary64`
293×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	117
1	624	109

Stop Event

1×	node limit

Counts

3 → 105

Calls

Call 1

Inputs

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

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

(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (*.f64 F (fma.f64 A (*.f64 C -4) (*.f64 B B))))) 1/2))

Outputs

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simplify89.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

804×	`times-frac_binary64`
433×	`fma-def_binary64`
379×	`associate-/r*_binary64`
254×	`associate-/l/_binary64`
233×	`log-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	277	5211
1	685	5152
2	2781	4977

Stop Event

1×	node limit

Counts

105 → 171

Calls

Call 1

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

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

eval699.0ms (1.8%)

Compiler: Compiled 40315 to 17274 computations (57.2% saved)

prune364.0ms (0.9%)

Pruning

96 alts after pruning (89 fresh and 7 done)

	Pruned	Kept	Total
New	903	42	945
Fresh	23	47	70
Picked	1	0	1
Done	2	7	9
Total	929	96	1025

Error

39.0b

Counts

1025 → 96

Alt Table

Click to see full alt table

Status	Error	Program
	57.1b	(pow.f64 (pow.f64 (.f64 (/.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (fma.f64 A (.f64 C -4) (.f64 B B))) (.f64 2 F)) 3/2) 1/3)
	58.0b	(pow.f64 (pow.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (/.f64 (.f64 F -2) (-.f64 (.f64 A (.f64 C 4)) (*.f64 B B)))) 3/2) 1/3)
	57.5b	(pow.f64 (pow.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (/.f64 (.f64 F -2) (-.f64 (.f64 A (.f64 C 4)) (*.f64 B B)))) 1/4) 2)
	63.6b	(pow.f64 (/.f64 (pow.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C 4))) (.f64 (.f64 F 2) (-.f64 (+.f64 A C) (hypot.f64 (-.f64 A C) B)))) 1/4) (hypot.f64 B (.f64 2 (sqrt.f64 (*.f64 A C))))) 2)
	55.5b	(pow.f64 (.f64 (/.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (fma.f64 A (.f64 C -4) (.f64 B B))) (.f64 2 F)) 1/2)
	60.6b	(/.f64 (pow.f64 (pow.f64 (.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))) F) (.f64 2 (fma.f64 A (.f64 C 4) (.f64 B B)))) 3/2) 1/3) (-.f64 (.f64 (.f64 A C) -4) (.f64 B B)))
	57.5b	(/.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))) F) (.f64 2 (fma.f64 A (.f64 C 4) (.f64 B B)))))) 3) (-.f64 (.f64 (.f64 A C) -4) (.f64 B B)))
	53.5b	(/.f64 (.f64 (sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))) F)) (sqrt.f64 (.f64 2 (fma.f64 A (.f64 C 4) (.f64 B B))))) (-.f64 (.f64 (.f64 A C) -4) (.f64 B B)))
	63.0b	(/.f64 (sqrt.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 F))) (hypot.f64 B (sqrt.f64 (.f64 C (.f64 A -4)))))
	63.5b	(/.f64 (sqrt.f64 (.f64 (+.f64 (hypot.f64 B (-.f64 A C)) (+.f64 A C)) (.f64 (.f64 (fma.f64 B B (.f64 C (.f64 A -4))) F) 2))) (fma.f64 B B (.f64 C (*.f64 A -4))))
	57.4b	(/.f64 (sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 F -2))) (sqrt.f64 (-.f64 (.f64 C (.f64 A 4)) (*.f64 B B))))
	48.1b	(/.f64 (sqrt.f64 (.f64 (.f64 F (fma.f64 C (.f64 -4 A) (.f64 B B))) (.f64 2 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))) (-.f64 (.f64 C (.f64 4 A)) (.f64 B B)))
✓	57.2b	(/.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 A (.f64 C 4) (.f64 B B)) (.f64 (-.f64 C (-.f64 (hypot.f64 (-.f64 A C) B) A)) F)))) (-.f64 (.f64 (.f64 A C) -4) (.f64 B B)))
	57.5b	(/.f64 (sqrt.f64 2) (/.f64 (-.f64 (.f64 A (.f64 C -4)) (.f64 B B)) (sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))) (.f64 F (fma.f64 A (.f64 C 4) (*.f64 B B)))))))
	56.0b	(/.f64 (neg.f64 (pow.f64 (pow.f64 (.f64 2 (.f64 (/.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 A (.f64 C 4)) (.f64 B B))))) (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))))) 1/4) 2)) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
	57.5b	(/.f64 (neg.f64 (pow.f64 (pow.f64 (.f64 2 (.f64 (+.f64 (.f64 (.f64 B B) F) (.f64 (.f64 A (.f64 C 4)) F)) (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))))) 1/4) 2)) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
	53.8b	(/.f64 (neg.f64 (pow.f64 (pow.f64 (.f64 2 (.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) F) (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))))) 3/2) 1/3)) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
	49.2b	(/.f64 (neg.f64 (pow.f64 (pow.f64 (.f64 2 (.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) F) (+.f64 A (+.f64 (-.f64 C (hypot.f64 (-.f64 A C) B)) (fma.f64 (neg.f64 (sqrt.f64 (hypot.f64 (-.f64 A C) B))) (sqrt.f64 (hypot.f64 (-.f64 A C) B)) (hypot.f64 (-.f64 A C) B)))))) 1/4) 2)) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
	59.2b	(/.f64 (neg.f64 (pow.f64 (exp.f64 (.f64 1/4 (log.f64 (.f64 2 (.f64 F (.f64 (fma.f64 B B (.f64 A (.f64 C 4))) (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))))))))) 2)) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
	51.8b	(/.f64 (neg.f64 (.f64 (hypot.f64 B (sqrt.f64 (.f64 A (.f64 -4 C)))) (sqrt.f64 (.f64 (+.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) A) (.f64 2 F))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
	58.5b	(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 (-.f64 A C) B)) (fma.f64 B B (.f64 A (.f64 C -4))))) (sqrt.f64 (.f64 F 2)))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
	53.8b	(/.f64 (neg.f64 (.f64 (sqrt.f64 2) (pow.f64 (pow.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 F (fma.f64 A (.f64 C -4) (.f64 B B)))) 3/2) 1/3))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
	54.4b	(/.f64 (neg.f64 (.f64 (sqrt.f64 2) (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 F (fma.f64 A (.f64 C -4) (.f64 B B)))))))) (sqrt.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 F (fma.f64 A (.f64 C -4) (.f64 B B)))))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
	49.4b	(/.f64 (neg.f64 (.f64 (sqrt.f64 2) (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 F (fma.f64 A (.f64 C -4) (.f64 B B)))))) 2))) (cbrt.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 F (fma.f64 A (.f64 C -4) (.f64 B B)))))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
	49.2b	(/.f64 (neg.f64 (.f64 (sqrt.f64 2) (pow.f64 (exp.f64 1/2) (log.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 F (fma.f64 A (.f64 C -4) (.f64 B B)))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
	49.2b	(/.f64 (neg.f64 (.f64 (sqrt.f64 2) (pow.f64 (E.f64) (log.f64 (sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 F (fma.f64 A (.f64 C -4) (.f64 B B))))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
	49.3b	(/.f64 (neg.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (fma.f64 C (.f64 -4 A) (.f64 B B))) (sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) F))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
	48.8b	(/.f64 (neg.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (fma.f64 B B (.f64 -4 (.f64 A C))) (.f64 F (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B)))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
	63.4b	(/.f64 (neg.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 (pow.f64 (pow.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) 3) 1/3) F))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
	62.9b	(/.f64 (neg.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 (log.f64 (exp.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))) F))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
	63.4b	(/.f64 (neg.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 (exp.f64 (log.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))) F))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
	56.4b	(/.f64 (neg.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 (cbrt.f64 (pow.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) 3)) F))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
	48.1b	(/.f64 (neg.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (+.f64 (.f64 (.f64 A (.f64 C -4)) F) (.f64 (.f64 B B) F)))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
	55.0b	(/.f64 (neg.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (expm1.f64 (log1p.f64 (.f64 F (fma.f64 A (.f64 C -4) (.f64 B B))))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
	60.8b	(/.f64 (neg.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) 3) (pow.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) F) 3)))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
	49.7b	(/.f64 (neg.f64 (.f64 (sqrt.f64 2) (exp.f64 (.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 F (fma.f64 A (.f64 C -4) (.f64 B B)))))) 3) 1/2)))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
	63.3b	(/.f64 (neg.f64 (.f64 (sqrt.f64 2) (exp.f64 (.f64 (/.f64 (-.f64 (.f64 (log.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))) (log.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))) (.f64 (log.f64 (.f64 F (fma.f64 A (.f64 C -4) (.f64 B B)))) (log.f64 (.f64 F (fma.f64 A (.f64 C -4) (.f64 B B)))))) (-.f64 (log.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))) (log.f64 (.f64 F (fma.f64 A (.f64 C -4) (.f64 B B)))))) 1/2)))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
	63.3b	(/.f64 (neg.f64 (.f64 (sqrt.f64 2) (exp.f64 (.f64 (/.f64 (+.f64 (pow.f64 (log.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))) 3) (pow.f64 (log.f64 (.f64 F (fma.f64 A (.f64 C -4) (.f64 B B)))) 3)) (fma.f64 (log.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))) (log.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))) (.f64 (log.f64 (.f64 F (fma.f64 A (.f64 C -4) (.f64 B B)))) (-.f64 (log.f64 (.f64 F (fma.f64 A (.f64 C -4) (.f64 B B)))) (log.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))))) 1/2)))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
	63.3b	(/.f64 (neg.f64 (.f64 (sqrt.f64 2) (exp.f64 (.f64 (+.f64 (log.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))) (log.f64 (.f64 F (fma.f64 A (.f64 C -4) (.f64 B B))))) 1/2)))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
	50.5b	(/.f64 (neg.f64 (.f64 (sqrt.f64 2) (exp.f64 (.f64 (+.f64 (log.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) F)) (log.f64 (fma.f64 A (.f64 C -4) (.f64 B B)))) 1/2)))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
	49.2b	(/.f64 (neg.f64 (.f64 (sqrt.f64 2) (exp.f64 (.f64 (log.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (+.f64 (.f64 (.f64 A (.f64 C -4)) F) (.f64 (.f64 B B) F)))) 1/2)))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
	54.7b	(/.f64 (neg.f64 (.f64 (sqrt.f64 2) (exp.f64 (.f64 (expm1.f64 (log1p.f64 (log.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 F (fma.f64 A (.f64 C -4) (.f64 B B))))))) 1/2)))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
	54.6b	(/.f64 (neg.f64 (.f64 (sqrt.f64 2) (exp.f64 (.f64 (exp.f64 (log.f64 (log.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 F (fma.f64 A (.f64 C -4) (.f64 B B))))))) 1/2)))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
	49.4b	(/.f64 (neg.f64 (.f64 (sqrt.f64 2) (exp.f64 (.f64 (cbrt.f64 (pow.f64 (log.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 F (fma.f64 A (.f64 C -4) (.f64 B B))))) 3)) 1/2)))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
✓	48.8b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) (.f64 2 (.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
	55.9b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))) (/.f64 (.f64 (-.f64 (pow.f64 B 6) (.f64 64 (pow.f64 (.f64 A C) 3))) (.f64 F 2)) (+.f64 (pow.f64 B 4) (.f64 (.f64 A (.f64 C 4)) (fma.f64 B B (.f64 A (.f64 C 4))))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
	57.4b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))) (.f64 F (.f64 2 (+.f64 (.f64 B B) (.f64 (.f64 A C) 12))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
	63.4b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))) (sqrt.f64 (pow.f64 (.f64 (.f64 F 2) (fma.f64 B B (.f64 A (.f64 C 4)))) 2))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
	49.1b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F)) (-.f64 (+.f64 A C) (pow.f64 (sqrt.f64 (hypot.f64 B (-.f64 A C))) 2))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
	49.2b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F)) (-.f64 (+.f64 A C) (pow.f64 (cbrt.f64 (hypot.f64 B (-.f64 A C))) 3))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
✓	49.0b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F)) (-.f64 (+.f64 A C) (hypot.f64 (-.f64 A C) B))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
	49.9b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F)) (-.f64 (+.f64 A C) (exp.f64 (log.f64 (hypot.f64 B (-.f64 A C)))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
✓	54.5b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 C (.f64 A -4))) (.f64 F (fma.f64 (-.f64 (.f64 A A) (.f64 C C)) (/.f64 1 (-.f64 A C)) (neg.f64 (hypot.f64 B (-.f64 A C))))))))) (fma.f64 B B (.f64 C (*.f64 A -4))))
	49.9b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 C (.f64 A -4))) (.f64 F (fma.f64 (sqrt.f64 (hypot.f64 B (-.f64 A C))) (neg.f64 (sqrt.f64 (hypot.f64 B (-.f64 A C)))) (+.f64 C A))))))) (fma.f64 B B (.f64 C (*.f64 A -4))))
	59.1b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 C (.f64 A -4))) (.f64 F (/.f64 (fma.f64 (+.f64 A C) (+.f64 A C) (neg.f64 (pow.f64 (hypot.f64 B (-.f64 A C)) 2))) (+.f64 (hypot.f64 B (-.f64 A C)) (+.f64 A C)))))))) (fma.f64 B B (.f64 C (*.f64 A -4))))
	56.6b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 C (.f64 A -4))) (.f64 F (/.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))))))))) (fma.f64 B B (.f64 C (.f64 A -4))))
	63.3b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 C (.f64 A -4))) (.f64 F (+.f64 (hypot.f64 B (-.f64 A C)) (+.f64 A C))))))) (fma.f64 B B (.f64 C (*.f64 A -4))))
	51.1b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 F (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
	63.7b	(/.f64 (neg.f64 (sqrt.f64 (.f64 -2 (.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) F) (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
✓	48.8b	(/.f64 (neg.f64 (sqrt.f64 (expm1.f64 (log1p.f64 (.f64 2 (.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) F) (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
	49.1b	(/.f64 (neg.f64 (exp.f64 (.f64 (log.f64 (.f64 2 (.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) F) (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B)))))) 1/2))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
	51.8b	(/.f64 (neg.f64 (exp.f64 (.f64 (log.f64 (.f64 2 (.f64 F (.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))))) 1/2))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
✓	53.2b	(/.f64 (neg.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))) (.f64 (fma.f64 B B (.f64 -4 (.f64 A C))) (.f64 F 2))) 3/2))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
	60.4b	(/.f64 (neg.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))) (.f64 F (.f64 2 (+.f64 (.f64 B B) (.f64 (.f64 A C) 12))))) 3/2))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
	57.8b	(/.f64 (exp.f64 (.f64 (log.f64 (.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))) F) (.f64 2 (fma.f64 A (.f64 C 4) (.f64 B B))))) 1/2)) (-.f64 (.f64 (.f64 A C) -4) (*.f64 B B)))
	57.1b	(/.f64 1 (sqrt.f64 (/.f64 (/.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (*.f64 2 F)) (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))))
	57.8b	(.f64 (pow.f64 (pow.f64 (.f64 (-.f64 C (-.f64 (hypot.f64 B (-.f64 A C)) A)) (.f64 2 (/.f64 F (fma.f64 A (.f64 C -4) (.f64 B B))))) 3/4) 1/3) (pow.f64 (pow.f64 (.f64 (-.f64 C (-.f64 (hypot.f64 B (-.f64 A C)) A)) (.f64 2 (/.f64 F (fma.f64 A (.f64 C -4) (*.f64 B B))))) 3/4) 1/3))
	57.4b	(.f64 (/.f64 1 (-.f64 (.f64 C (.f64 A -4)) (.f64 B B))) (sqrt.f64 (.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))) F) (.f64 2 (fma.f64 A (.f64 C 4) (*.f64 B B))))))
	63.1b	(.f64 (sqrt.f64 (/.f64 (.f64 -2 F) (-.f64 (.f64 4 (.f64 A C)) (*.f64 B B)))) (sqrt.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))
	49.1b	(.f64 (sqrt.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 F (fma.f64 C (.f64 -4 A) (.f64 B B))))) (neg.f64 (/.f64 (sqrt.f64 2) (fma.f64 C (.f64 -4 A) (*.f64 B B)))))
	57.3b	(.f64 (sqrt.f64 (.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C 4))) F) (-.f64 (+.f64 A C) (hypot.f64 (-.f64 A C) B)))) (/.f64 (sqrt.f64 2) (-.f64 (.f64 -4 (.f64 A C)) (.f64 B B))))
	51.1b	(.f64 (sqrt.f64 (.f64 2 (.f64 F (.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))))) (/.f64 1 (neg.f64 (fma.f64 B B (.f64 (.f64 A C) -4)))))
	48.1b	(.f64 (sqrt.f64 2) (.f64 (neg.f64 (sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 F (fma.f64 A (.f64 C -4) (.f64 B B)))))) (/.f64 1 (fma.f64 B B (.f64 A (.f64 C -4))))))
	57.1b	(.f64 (cbrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 F (/.f64 -2 (-.f64 (.f64 A (.f64 C 4)) (.f64 B B)))))) (sqrt.f64 (cbrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 F (/.f64 -2 (-.f64 (.f64 A (.f64 C 4)) (*.f64 B B))))))))
	57.0b	(sqrt.f64 (/.f64 (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))) (/.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (*.f64 F 2))))
	56.4b	(sqrt.f64 (/.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 F -2)) (-.f64 (.f64 A (.f64 C 4)) (*.f64 B B))))
	56.1b	(sqrt.f64 (/.f64 (.f64 2 (.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))) (fma.f64 -4 (.f64 A C) (.f64 B B))))
	57.1b	(sqrt.f64 (+.f64 (.f64 (/.f64 (.f64 F -2) (-.f64 (.f64 A (.f64 C 4)) (.f64 B B))) (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 (/.f64 (.f64 F -2) (-.f64 (.f64 A (.f64 C 4)) (.f64 B B))) A)))
	59.3b	(sqrt.f64 (.f64 (fma.f64 A (.f64 -4 C) (.f64 B B)) (/.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (/.f64 (pow.f64 (fma.f64 A (.f64 -4 C) (.f64 B B)) 2) (.f64 2 F)))))
	61.8b	(sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (pow.f64 (pow.f64 (/.f64 (.f64 F -2) (-.f64 (.f64 A (.f64 C 4)) (*.f64 B B))) 3) 1/3)))
	57.1b	(sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (pow.f64 (cbrt.f64 (/.f64 (.f64 F -2) (-.f64 (.f64 A (.f64 C 4)) (*.f64 B B)))) 3)))
	57.1b	(sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (/.f64 (.f64 F -2) (-.f64 (.f64 A (.f64 C 4)) (*.f64 B B)))))
	57.1b	(sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (/.f64 1 (/.f64 (-.f64 (.f64 A (.f64 C 4)) (.f64 B B)) (*.f64 F -2)))))
	61.3b	(sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (-.f64 (exp.f64 (log1p.f64 (/.f64 (.f64 F -2) (-.f64 (.f64 A (.f64 C 4)) (*.f64 B B))))) 1)))
✓	57.1b	(sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 F (/.f64 -2 (-.f64 (.f64 A (.f64 C 4)) (*.f64 B B))))))
	62.0b	(sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (log.f64 (pow.f64 (exp.f64 F) (/.f64 -2 (-.f64 (.f64 A (.f64 C 4)) (.f64 B B)))))))
	61.9b	(sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (exp.f64 (log.f64 (/.f64 (.f64 F -2) (-.f64 (.f64 A (.f64 C 4)) (*.f64 B B)))))))
	62.4b	(sqrt.f64 (.f64 (+.f64 A (sqrt.f64 (pow.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) 2))) (.f64 F (/.f64 -2 (-.f64 (.f64 A (.f64 C 4)) (*.f64 B B))))))
	57.5b	(sqrt.f64 (.f64 1 (/.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (/.f64 (-.f64 (.f64 (.f64 A C) 4) (.f64 B B)) (*.f64 F -2)))))
	59.7b	(sqrt.f64 (.f64 1 (/.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 F)) (/.f64 (-.f64 (.f64 (.f64 B B) (.f64 B B)) (pow.f64 (.f64 C (.f64 A -4)) 2)) (-.f64 (.f64 B B) (.f64 C (*.f64 A -4)))))))
	56.4b	(sqrt.f64 (.f64 1 (/.f64 1 (/.f64 (-.f64 (.f64 4 (.f64 A C)) (.f64 B B)) (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 F -2))))))
	60.3b	(sqrt.f64 (.f64 1 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 (/.f64 (.f64 F -2) (-.f64 (.f64 (pow.f64 (.f64 A C) 3) 64) (pow.f64 B 6))) (+.f64 (pow.f64 (.f64 4 (.f64 A C)) 2) (.f64 (.f64 B B) (fma.f64 C (.f64 A 4) (.f64 B B))))))))
	57.8b	(exp.f64 (.f64 (.f64 3/2 (log.f64 (.f64 (-.f64 C (-.f64 (hypot.f64 B (-.f64 A C)) A)) (.f64 2 (/.f64 F (fma.f64 A (.f64 C -4) (.f64 B B))))))) 1/3))
	57.8b	(exp.f64 (.f64 (log.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (/.f64 (.f64 F -2) (-.f64 (.f64 A (.f64 C 4)) (.f64 B B))))) 1/2))
	57.4b	(cbrt.f64 (pow.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 F (/.f64 -2 (-.f64 (.f64 A (.f64 C 4)) (*.f64 B B))))) 3/2))
	58.9b	(cbrt.f64 (pow.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (expm1.f64 (log1p.f64 (.f64 2 (/.f64 F (fma.f64 A (.f64 C -4) (.f64 B B))))))) 3/2))

Compiler

Compiled 3930 to 2434 computations (38.1% saved)

regimes1.0s (2.5%)

Counts

159 → 2

Calls

Call 1

Inputs
(sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 F (/.f64 -2 (-.f64 (.f64 A (.f64 C 4)) (*.f64 B B))))))
(sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (/.f64 (.f64 -2 F) (-.f64 (.f64 4 (.f64 A C)) (*.f64 B B)))))
(sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (/.f64 (.f64 F -2) (-.f64 (.f64 A (.f64 C 4)) (*.f64 B B)))))
(sqrt.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 -2 (/.f64 F (-.f64 (.f64 A (.f64 C 4)) (*.f64 B B))))))
(sqrt.f64 (/.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 F -2)) (-.f64 (.f64 A (.f64 C 4)) (*.f64 B B))))
(sqrt.f64 (.f64 1 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (/.f64 (.f64 F -2) (-.f64 (.f64 C (.f64 A 4)) (.f64 B B))))))
(sqrt.f64 (.f64 1 (/.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 F)) (+.f64 (.f64 C (.f64 A -4)) (.f64 B B)))))
(sqrt.f64 (.f64 1 (/.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 F -2)) (-.f64 (.f64 4 (.f64 A C)) (.f64 B B)))))
(sqrt.f64 (.f64 1 (/.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (/.f64 (-.f64 (.f64 (.f64 A C) 4) (.f64 B B)) (*.f64 F -2)))))
(sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (/.f64 1 (/.f64 (-.f64 (.f64 A (.f64 C 4)) (.f64 B B)) (*.f64 F -2)))))
(sqrt.f64 (.f64 1 (/.f64 1 (/.f64 (-.f64 (.f64 4 (.f64 A C)) (.f64 B B)) (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 F -2))))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F)) (-.f64 (+.f64 A C) (hypot.f64 (-.f64 A C) B))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))) (.f64 F (.f64 2 (+.f64 (.f64 B B) (.f64 (.f64 A C) 12))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(sqrt.f64 (+.f64 (.f64 (/.f64 (.f64 F -2) (-.f64 (.f64 A (.f64 C 4)) (.f64 B B))) (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 (/.f64 (.f64 F -2) (-.f64 (.f64 A (.f64 C 4)) (.f64 B B))) A)))
(sqrt.f64 (.f64 1 (+.f64 (.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) (.f64 -2 (/.f64 F (-.f64 (.f64 4 (.f64 A C)) (.f64 B B))))) (.f64 A (.f64 -2 (/.f64 F (-.f64 (.f64 4 (.f64 A C)) (*.f64 B B))))))))
(sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (/.f64 2 (/.f64 (fma.f64 C (.f64 -4 A) (*.f64 B B)) F))))
(sqrt.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (/.f64 2 (/.f64 (fma.f64 A (.f64 C -4) (*.f64 B B)) F))))
(sqrt.f64 (/.f64 (.f64 2 (.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))) (fma.f64 -4 (.f64 A C) (.f64 B B))))
(sqrt.f64 (/.f64 (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))) (/.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (*.f64 F 2))))
(pow.f64 (.f64 (/.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (fma.f64 A (.f64 C -4) (.f64 B B))) (.f64 2 F)) 1/2)
(sqrt.f64 (.f64 1 (/.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 F)) (fma.f64 B B (.f64 A (*.f64 -4 C))))))
(sqrt.f64 (/.f64 F (.f64 (/.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (+.f64 C (-.f64 A (hypot.f64 B (-.f64 A C)))) 2)) 1)))
(.f64 (sqrt.f64 (/.f64 (.f64 -2 F) (-.f64 (.f64 4 (.f64 A C)) (*.f64 B B)))) (sqrt.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))
(/.f64 1 (sqrt.f64 (/.f64 (/.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (*.f64 2 F)) (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))))
(/.f64 (sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 F -2))) (sqrt.f64 (-.f64 (.f64 C (.f64 A 4)) (*.f64 B B))))
(cbrt.f64 (pow.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 F (/.f64 -2 (-.f64 (.f64 A (.f64 C 4)) (*.f64 B B))))) 3/2))
(exp.f64 (.f64 (log.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 -2 (/.f64 F (-.f64 (.f64 4 (.f64 A C)) (.f64 B B)))))) 1/2))
(exp.f64 (.f64 (log.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (/.f64 (.f64 F -2) (-.f64 (.f64 A (.f64 C 4)) (.f64 B B))))) 1/2))
(pow.f64 (pow.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 -2 (/.f64 F (-.f64 (.f64 4 (.f64 A C)) (*.f64 B B))))) 1/4) 2)
(pow.f64 (pow.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 -2 (/.f64 F (-.f64 (.f64 4 (.f64 A C)) (*.f64 B B))))) 3/2) 1/3)
(pow.f64 (pow.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (/.f64 (.f64 F -2) (-.f64 (.f64 A (.f64 C 4)) (*.f64 B B)))) 1/4) 2)
(pow.f64 (pow.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (/.f64 (.f64 F -2) (-.f64 (.f64 A (.f64 C 4)) (*.f64 B B)))) 3/2) 1/3)
(/.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 A (.f64 C 4) (.f64 B B)) (.f64 (-.f64 C (-.f64 (hypot.f64 (-.f64 A C) B) A)) F)))) (-.f64 (.f64 (.f64 A C) -4) (.f64 B B)))
(/.f64 (sqrt.f64 (.f64 (.f64 F (fma.f64 C (.f64 -4 A) (.f64 B B))) (.f64 2 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))) (-.f64 (.f64 C (.f64 4 A)) (.f64 B B)))
(/.f64 (neg.f64 (sqrt.f64 (.f64 -2 (.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) F) (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
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(/.f64 (neg.f64 (pow.f64 (exp.f64 (.f64 1/4 (log.f64 (.f64 2 (.f64 F (.f64 (fma.f64 B B (.f64 A (.f64 C 4))) (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))))))))) 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 (fma.f64 (-.f64 (.f64 A A) (.f64 C C)) (/.f64 1 (-.f64 A C)) (neg.f64 (hypot.f64 B (-.f64 A C))))))))) (fma.f64 B B (.f64 C (*.f64 A -4))))
(.f64 (cbrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 F (/.f64 -2 (-.f64 (.f64 A (.f64 C 4)) (.f64 B B)))))) (sqrt.f64 (cbrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 F (/.f64 -2 (-.f64 (.f64 A (.f64 C 4)) (*.f64 B B))))))))
(cbrt.f64 (pow.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (expm1.f64 (log1p.f64 (.f64 2 (/.f64 F (fma.f64 A (.f64 C -4) (.f64 B B))))))) 3/2))
(sqrt.f64 (.f64 1 (.f64 (/.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (hypot.f64 B (sqrt.f64 (.f64 C (.f64 A -4))))) (/.f64 (.f64 2 F) (hypot.f64 B (sqrt.f64 (.f64 C (*.f64 A -4))))))))
(pow.f64 (/.f64 (pow.f64 (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) (.f64 (-.f64 C (-.f64 (hypot.f64 B (-.f64 A C)) A)) (.f64 2 F))) 1/4) (hypot.f64 B (sqrt.f64 (.f64 A (*.f64 -4 C))))) 2)
(pow.f64 (/.f64 (pow.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C 4))) (.f64 (.f64 F 2) (-.f64 (+.f64 A C) (hypot.f64 (-.f64 A C) B)))) 1/4) (hypot.f64 B (.f64 2 (sqrt.f64 (*.f64 A C))))) 2)
(neg.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (-.f64 (+.f64 C A) (hypot.f64 B (-.f64 A C))) (.f64 (.f64 (fma.f64 C (.f64 A -4) (.f64 B B)) F) 2)) 1/4) (hypot.f64 B (sqrt.f64 (.f64 C (*.f64 A -4))))) 2))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) (.f64 2 (.f64 F (+.f64 A (sqrt.f64 (pow.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) 2)))))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (expm1.f64 (log1p.f64 (.f64 F (fma.f64 A (.f64 C -4) (.f64 B B))))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 (exp.f64 (log.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))) F))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 (log.f64 (exp.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))) F))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 (cbrt.f64 (pow.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) 3)) F))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 2) (pow.f64 (exp.f64 1/2) (log.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 F (fma.f64 A (.f64 C -4) (.f64 B B)))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 2) (exp.f64 (.f64 (+.f64 (log.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) F)) (log.f64 (fma.f64 A (.f64 C -4) (.f64 B B)))) 1/2)))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 2) (exp.f64 (.f64 (+.f64 (log.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))) (log.f64 (.f64 F (fma.f64 A (.f64 C -4) (.f64 B B))))) 1/2)))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 (pow.f64 (pow.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) 3) 1/3) F))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.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)))
(sqrt.f64 (.f64 1 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 (/.f64 (.f64 F -2) (-.f64 (.f64 (pow.f64 (.f64 A C) 3) 64) (pow.f64 B 6))) (+.f64 (pow.f64 (.f64 4 (.f64 A C)) 2) (.f64 (.f64 B B) (fma.f64 C (.f64 A 4) (.f64 B B))))))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))) (/.f64 (.f64 (-.f64 (pow.f64 B 6) (.f64 64 (pow.f64 (.f64 A C) 3))) (.f64 F 2)) (+.f64 (pow.f64 B 4) (.f64 (.f64 A (.f64 C 4)) (fma.f64 B B (.f64 A (.f64 C 4))))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (pow.f64 (pow.f64 (.f64 2 (.f64 (/.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 A (.f64 C 4)) (.f64 B B))))) (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))))) 1/4) 2)) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 2) (pow.f64 (E.f64) (log.f64 (sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 F (fma.f64 A (.f64 C -4) (.f64 B B))))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 2) (exp.f64 (.f64 (exp.f64 (log.f64 (log.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 F (fma.f64 A (.f64 C -4) (.f64 B B))))))) 1/2)))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 2) (exp.f64 (.f64 (expm1.f64 (log1p.f64 (log.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 F (fma.f64 A (.f64 C -4) (.f64 B B))))))) 1/2)))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) 3) (pow.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) F) 3)))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 2) (exp.f64 (.f64 (cbrt.f64 (pow.f64 (log.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 F (fma.f64 A (.f64 C -4) (.f64 B B))))) 3)) 1/2)))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 2) (exp.f64 (.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 F (fma.f64 A (.f64 C -4) (.f64 B B)))))) 3) 1/2)))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 2 F))))) (hypot.f64 B (sqrt.f64 (.f64 A (.f64 -4 C))))) (hypot.f64 B (sqrt.f64 (.f64 A (*.f64 -4 C)))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 C (.f64 A -4))) (.f64 F (/.f64 (fma.f64 (+.f64 A C) (+.f64 A C) (neg.f64 (pow.f64 (hypot.f64 B (-.f64 A C)) 2))) (+.f64 (hypot.f64 B (-.f64 A C)) (+.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 (fma.f64 (sqrt.f64 (hypot.f64 B (-.f64 A C))) (neg.f64 (sqrt.f64 (hypot.f64 B (-.f64 A C)))) (+.f64 C A))))))) (fma.f64 B B (.f64 C (*.f64 A -4))))
(/.f64 (/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 2 F))))) (cbrt.f64 (fma.f64 B B (.f64 A (.f64 -4 C))))) (cbrt.f64 (pow.f64 (fma.f64 B B (.f64 A (*.f64 -4 C))) 2)))
(/.f64 (.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (fma.f64 B B (.f64 A (.f64 C -4)))) 2)) (sqrt.f64 (.f64 2 (.f64 F (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))))) (cbrt.f64 (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 (fma.f64 (+.f64 (pow.f64 A 3) (pow.f64 C 3)) (/.f64 1 (fma.f64 C (-.f64 C A) (.f64 A A))) (neg.f64 (hypot.f64 B (-.f64 A C))))))))) (fma.f64 B B (.f64 C (.f64 A -4))))
(.f64 (pow.f64 (pow.f64 (.f64 (-.f64 C (-.f64 (hypot.f64 B (-.f64 A C)) A)) (.f64 2 (/.f64 F (fma.f64 A (.f64 C -4) (.f64 B B))))) 3/4) 1/3) (pow.f64 (pow.f64 (.f64 (-.f64 C (-.f64 (hypot.f64 B (-.f64 A C)) A)) (.f64 2 (/.f64 F (fma.f64 A (.f64 C -4) (*.f64 B B))))) 3/4) 1/3))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 C (.f64 A -4))) (.f64 F (/.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))))))))) (fma.f64 B B (.f64 C (.f64 A -4))))
(/.f64 (neg.f64 (pow.f64 (pow.f64 (.f64 2 (.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) F) (+.f64 A (+.f64 (-.f64 C (hypot.f64 (-.f64 A C) B)) (fma.f64 (neg.f64 (sqrt.f64 (hypot.f64 (-.f64 A C) B))) (sqrt.f64 (hypot.f64 (-.f64 A C) B)) (hypot.f64 (-.f64 A C) B)))))) 1/4) 2)) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 2) (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 F (fma.f64 A (.f64 C -4) (.f64 B B)))))))) (sqrt.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 F (fma.f64 A (.f64 C -4) (.f64 B B)))))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 2) (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 F (fma.f64 A (.f64 C -4) (.f64 B B)))))) 2))) (cbrt.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 F (fma.f64 A (.f64 C -4) (.f64 B B)))))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 2) (exp.f64 (.f64 (/.f64 (-.f64 (.f64 (log.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))) (log.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))) (.f64 (log.f64 (.f64 F (fma.f64 A (.f64 C -4) (.f64 B B)))) (log.f64 (.f64 F (fma.f64 A (.f64 C -4) (.f64 B B)))))) (-.f64 (log.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))) (log.f64 (.f64 F (fma.f64 A (.f64 C -4) (.f64 B B)))))) 1/2)))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 2) (exp.f64 (.f64 (/.f64 (+.f64 (pow.f64 (log.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))) 3) (pow.f64 (log.f64 (.f64 F (fma.f64 A (.f64 C -4) (.f64 B B)))) 3)) (fma.f64 (log.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))) (log.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))) (.f64 (log.f64 (.f64 F (fma.f64 A (.f64 C -4) (.f64 B B)))) (-.f64 (log.f64 (.f64 F (fma.f64 A (.f64 C -4) (.f64 B B)))) (log.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))))) 1/2)))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))

Outputs

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

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

Calls

6 calls:

223.0ms	B
213.0ms	C
156.0ms	A
145.0ms	F
92.0ms	(pow.f64 B 2)

Results

Error	Segments	Branch
45.8b	2	`A`
45.1b	3	`B`
43.8b	2	`C`
42.7b	2	`F`
42.0b	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)))`
45.1b	2	`(pow.f64 B 2)`

Compiler

Compiled 5693 to 2536 computations (55.5% saved)

bsearch3.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.1667936738516918e-138

Compiler

Compiled 51 to 38 computations (25.5% saved)

regimes845.0ms (2.1%)

Counts

103 → 4

Calls

Call 1

Inputs
(sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 F (/.f64 -2 (-.f64 (.f64 A (.f64 C 4)) (*.f64 B B))))))
(sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (/.f64 (.f64 -2 F) (-.f64 (.f64 4 (.f64 A C)) (*.f64 B B)))))
(sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (/.f64 (.f64 F -2) (-.f64 (.f64 A (.f64 C 4)) (*.f64 B B)))))
(sqrt.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 -2 (/.f64 F (-.f64 (.f64 A (.f64 C 4)) (*.f64 B B))))))
(sqrt.f64 (/.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 F -2)) (-.f64 (.f64 A (.f64 C 4)) (*.f64 B B))))
(sqrt.f64 (.f64 1 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (/.f64 (.f64 F -2) (-.f64 (.f64 C (.f64 A 4)) (.f64 B B))))))
(sqrt.f64 (.f64 1 (/.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 F)) (+.f64 (.f64 C (.f64 A -4)) (.f64 B B)))))
(sqrt.f64 (.f64 1 (/.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 F -2)) (-.f64 (.f64 4 (.f64 A C)) (.f64 B B)))))
(sqrt.f64 (.f64 1 (/.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (/.f64 (-.f64 (.f64 (.f64 A C) 4) (.f64 B B)) (*.f64 F -2)))))
(sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (/.f64 1 (/.f64 (-.f64 (.f64 A (.f64 C 4)) (.f64 B B)) (*.f64 F -2)))))
(sqrt.f64 (.f64 1 (/.f64 1 (/.f64 (-.f64 (.f64 4 (.f64 A C)) (.f64 B B)) (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 F -2))))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F)) (-.f64 (+.f64 A C) (hypot.f64 (-.f64 A C) B))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))) (.f64 F (.f64 2 (+.f64 (.f64 B B) (.f64 (.f64 A C) 12))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(sqrt.f64 (+.f64 (.f64 (/.f64 (.f64 F -2) (-.f64 (.f64 A (.f64 C 4)) (.f64 B B))) (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 (/.f64 (.f64 F -2) (-.f64 (.f64 A (.f64 C 4)) (.f64 B B))) A)))
(sqrt.f64 (.f64 1 (+.f64 (.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) (.f64 -2 (/.f64 F (-.f64 (.f64 4 (.f64 A C)) (.f64 B B))))) (.f64 A (.f64 -2 (/.f64 F (-.f64 (.f64 4 (.f64 A C)) (*.f64 B B))))))))
(sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (/.f64 2 (/.f64 (fma.f64 C (.f64 -4 A) (*.f64 B B)) F))))
(sqrt.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (/.f64 2 (/.f64 (fma.f64 A (.f64 C -4) (*.f64 B B)) F))))
(sqrt.f64 (/.f64 (.f64 2 (.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))) (fma.f64 -4 (.f64 A C) (.f64 B B))))
(sqrt.f64 (/.f64 (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))) (/.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (*.f64 F 2))))
(pow.f64 (.f64 (/.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (fma.f64 A (.f64 C -4) (.f64 B B))) (.f64 2 F)) 1/2)
(sqrt.f64 (.f64 1 (/.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 F)) (fma.f64 B B (.f64 A (*.f64 -4 C))))))
(sqrt.f64 (/.f64 F (.f64 (/.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (+.f64 C (-.f64 A (hypot.f64 B (-.f64 A C)))) 2)) 1)))
(.f64 (sqrt.f64 (/.f64 (.f64 -2 F) (-.f64 (.f64 4 (.f64 A C)) (*.f64 B B)))) (sqrt.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))
(/.f64 1 (sqrt.f64 (/.f64 (/.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (*.f64 2 F)) (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))))
(/.f64 (sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 F -2))) (sqrt.f64 (-.f64 (.f64 C (.f64 A 4)) (*.f64 B B))))
(cbrt.f64 (pow.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 F (/.f64 -2 (-.f64 (.f64 A (.f64 C 4)) (*.f64 B B))))) 3/2))
(exp.f64 (.f64 (log.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 -2 (/.f64 F (-.f64 (.f64 4 (.f64 A C)) (.f64 B B)))))) 1/2))
(exp.f64 (.f64 (log.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (/.f64 (.f64 F -2) (-.f64 (.f64 A (.f64 C 4)) (.f64 B B))))) 1/2))
(pow.f64 (pow.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 -2 (/.f64 F (-.f64 (.f64 4 (.f64 A C)) (*.f64 B B))))) 1/4) 2)
(pow.f64 (pow.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 -2 (/.f64 F (-.f64 (.f64 4 (.f64 A C)) (*.f64 B B))))) 3/2) 1/3)
(pow.f64 (pow.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (/.f64 (.f64 F -2) (-.f64 (.f64 A (.f64 C 4)) (*.f64 B B)))) 1/4) 2)
(pow.f64 (pow.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (/.f64 (.f64 F -2) (-.f64 (.f64 A (.f64 C 4)) (*.f64 B B)))) 3/2) 1/3)
(/.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 A (.f64 C 4) (.f64 B B)) (.f64 (-.f64 C (-.f64 (hypot.f64 (-.f64 A C) B) A)) F)))) (-.f64 (.f64 (.f64 A C) -4) (.f64 B B)))
(/.f64 (sqrt.f64 (.f64 (.f64 F (fma.f64 C (.f64 -4 A) (.f64 B B))) (.f64 2 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))) (-.f64 (.f64 C (.f64 4 A)) (.f64 B B)))
(/.f64 (neg.f64 (sqrt.f64 (.f64 -2 (.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) F) (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) 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 C (hypot.f64 B (-.f64 A C))))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 (-.f64 C (-.f64 (hypot.f64 B (-.f64 A C)) A)) F))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))) (.f64 (fma.f64 B B (.f64 -4 (.f64 A C))) (.f64 F 2))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(.f64 (/.f64 1 (-.f64 (.f64 C (.f64 A -4)) (.f64 B B))) (sqrt.f64 (.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))) F) (.f64 2 (fma.f64 A (.f64 C 4) (*.f64 B B))))))
(/.f64 (neg.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))) (.f64 F (.f64 2 (+.f64 (.f64 B B) (.f64 (.f64 A C) 12))))) 3/2))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (+.f64 (.f64 (.f64 A (.f64 C -4)) F) (.f64 (.f64 B B) F)))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F)) (-.f64 (+.f64 A 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 (pow.f64 (pow.f64 (.f64 2 (.f64 (+.f64 (.f64 (.f64 B B) F) (.f64 (.f64 A (.f64 C 4)) F)) (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))))) 1/4) 2)) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(sqrt.f64 (.f64 1 (/.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 F)) (/.f64 (-.f64 (.f64 (.f64 B B) (.f64 B B)) (pow.f64 (.f64 C (.f64 A -4)) 2)) (-.f64 (.f64 B B) (.f64 C (*.f64 A -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 -4 C)))))
(/.f64 (sqrt.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 F))) (hypot.f64 B (sqrt.f64 (.f64 C (.f64 A -4)))))
(cbrt.f64 (pow.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (/.f64 (.f64 2 F) (fma.f64 B B (.f64 A (.f64 C -4))))) 3/2))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (fma.f64 A (.f64 C -4) (.f64 B B))) (*.f64 2 F))) 1/2))
(sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (exp.f64 (log.f64 (/.f64 (.f64 F -2) (-.f64 (.f64 A (.f64 C 4)) (*.f64 B B)))))))
(pow.f64 (pow.f64 (.f64 (/.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (fma.f64 A (.f64 C -4) (.f64 B B))) (.f64 2 F)) 1/4) 2)
(pow.f64 (pow.f64 (.f64 (/.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (fma.f64 A (.f64 C -4) (.f64 B B))) (.f64 2 F)) 3/2) 1/3)
(sqrt.f64 (.f64 (+.f64 A (sqrt.f64 (pow.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) 2))) (.f64 F (/.f64 -2 (-.f64 (.f64 A (.f64 C 4)) (*.f64 B B))))))
(sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (pow.f64 (cbrt.f64 (/.f64 (.f64 F -2) (-.f64 (.f64 A (.f64 C 4)) (*.f64 B B)))) 3)))
(exp.f64 (.f64 (.f64 3/2 (log.f64 (.f64 (-.f64 C (-.f64 (hypot.f64 B (-.f64 A C)) A)) (.f64 2 (/.f64 F (fma.f64 A (.f64 C -4) (.f64 B B))))))) 1/3))
(sqrt.f64 (.f64 1 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (exp.f64 (log.f64 (.f64 -2 (/.f64 F (-.f64 (.f64 4 (.f64 A C)) (.f64 B B)))))))))
(sqrt.f64 (.f64 1 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (log.f64 (exp.f64 (.f64 -2 (/.f64 F (-.f64 (.f64 4 (.f64 A C)) (.f64 B B)))))))))
(sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (-.f64 (exp.f64 (log1p.f64 (/.f64 (.f64 F -2) (-.f64 (.f64 A (.f64 C 4)) (*.f64 B B))))) 1)))
(sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (pow.f64 (pow.f64 (/.f64 (.f64 F -2) (-.f64 (.f64 A (.f64 C 4)) (*.f64 B B))) 3) 1/3)))
(sqrt.f64 (.f64 1 (.f64 (+.f64 A (sqrt.f64 (pow.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) 2))) (/.f64 (.f64 F -2) (-.f64 (.f64 C (.f64 A 4)) (.f64 B B))))))
(sqrt.f64 (.f64 1 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (pow.f64 (cbrt.f64 (.f64 -2 (/.f64 F (-.f64 (.f64 4 (.f64 A C)) (.f64 B B))))) 3))))
(sqrt.f64 (.f64 1 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (pow.f64 (pow.f64 (.f64 -2 (/.f64 F (-.f64 (.f64 4 (.f64 A C)) (.f64 B B)))) 3) 1/3))))
(/.f64 (sqrt.f64 (.f64 (+.f64 (hypot.f64 B (-.f64 A C)) (+.f64 A C)) (.f64 (.f64 (fma.f64 B B (.f64 C (.f64 A -4))) F) 2))) (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 (hypot.f64 B (-.f64 A C)) (+.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 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))))) (fma.f64 B B (.f64 C (*.f64 A -4))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 F (.f64 2 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (+.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 (fma.f64 B B (.f64 A (.f64 -4 C))) (.f64 2 (.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
(sqrt.f64 (.f64 1 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 (/.f64 (sqrt.f64 (.f64 F -2)) 1) (/.f64 (sqrt.f64 (.f64 F -2)) (-.f64 (.f64 4 (.f64 A C)) (.f64 B B)))))))
(.f64 (sqrt.f64 (.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C 4))) F) (-.f64 (+.f64 A C) (hypot.f64 (-.f64 A C) B)))) (/.f64 (sqrt.f64 2) (-.f64 (.f64 -4 (.f64 A C)) (.f64 B B))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (neg.f64 (.f64 2 F)))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
(/.f64 (sqrt.f64 2) (/.f64 (-.f64 (.f64 A (.f64 C -4)) (.f64 B B)) (sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))) (.f64 F (fma.f64 A (.f64 C 4) (*.f64 B B)))))))
(/.f64 (.f64 (sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))) F)) (sqrt.f64 (.f64 2 (fma.f64 A (.f64 C 4) (.f64 B B))))) (-.f64 (.f64 (.f64 A C) -4) (.f64 B B)))
(.f64 (sqrt.f64 (.f64 2 (.f64 F (.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))))) (/.f64 1 (neg.f64 (fma.f64 B B (.f64 (.f64 A C) -4)))))
(.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) (.f64 (-.f64 C (-.f64 (hypot.f64 B (-.f64 A C)) A)) (.f64 2 F)))) (/.f64 1 (neg.f64 (fma.f64 B B (.f64 A (.f64 -4 C))))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 F (.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 F (fma.f64 A (.f64 C -4) (.f64 B B))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 (-.f64 C (-.f64 (hypot.f64 B (-.f64 A C)) A)) F))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (fma.f64 B B (.f64 -4 (.f64 A C))) (.f64 F (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B)))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 (-.f64 A C) B)) (fma.f64 B B (.f64 A (.f64 C -4))))) (sqrt.f64 (.f64 F 2)))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))) (sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) F))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (exp.f64 (.f64 (log.f64 (.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))) F) (.f64 2 (fma.f64 A (.f64 C 4) (.f64 B B))))) 1/2)) (-.f64 (.f64 (.f64 A C) -4) (*.f64 B B)))
(/.f64 (neg.f64 (cbrt.f64 (pow.f64 (.f64 2 (.f64 F (.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))) 3/2))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))) (.f64 (fma.f64 B B (.f64 -4 (.f64 A C))) (.f64 F 2))) 3/2))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (pow.f64 (pow.f64 (.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))) F) (.f64 2 (fma.f64 A (.f64 C 4) (.f64 B B)))) 3/2) 1/3) (-.f64 (.f64 (.f64 A C) -4) (.f64 B B)))
(/.f64 (neg.f64 (exp.f64 (.f64 (log.f64 (.f64 2 (.f64 F (.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))))) 1/2))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (exp.f64 (.f64 (log.f64 (.f64 2 (.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) F) (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B)))))) 1/2))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F)) (-.f64 (+.f64 A C) (exp.f64 (log.f64 (hypot.f64 B (-.f64 A C)))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (pow.f64 (pow.f64 (.f64 2 (.f64 F (.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))) 1/4) 2)) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (pow.f64 (pow.f64 (.f64 2 (.f64 F (.f64 (fma.f64 B B (.f64 (.f64 A C) -4)) (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))) 3/2) 1/3)) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (pow.f64 (pow.f64 (.f64 2 (.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) F) (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))))) 1/4) 2)) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (pow.f64 (pow.f64 (.f64 2 (.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) F) (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))))) 3/2) 1/3)) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(sqrt.f64 (.f64 1 (-.f64 (/.f64 (+.f64 A C) (/.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 2 F))) (/.f64 (hypot.f64 B (-.f64 A C)) (/.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (*.f64 2 F))))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F)) (-.f64 (+.f64 A C) (pow.f64 (cbrt.f64 (hypot.f64 B (-.f64 A C))) 3))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F)) (-.f64 (+.f64 A C) (pow.f64 (sqrt.f64 (hypot.f64 B (-.f64 A C))) 2))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 2) (exp.f64 (.f64 (log.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (+.f64 (.f64 (.f64 A (.f64 C -4)) F) (.f64 (.f64 B B) F)))) 1/2)))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (log.f64 (pow.f64 (exp.f64 F) (/.f64 -2 (-.f64 (.f64 A (.f64 C 4)) (.f64 B B)))))))
(sqrt.f64 (.f64 1 (/.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 F)) (log1p.f64 (expm1.f64 (fma.f64 A (.f64 C -4) (*.f64 B B)))))))
(.f64 (hypot.f64 B (sqrt.f64 (.f64 A (.f64 -4 C)))) (/.f64 (sqrt.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 F))) (fma.f64 B B (.f64 A (*.f64 -4 C)))))
(/.f64 (neg.f64 (.f64 (hypot.f64 B (sqrt.f64 (.f64 A (.f64 -4 C)))) (sqrt.f64 (.f64 (+.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) A) (.f64 2 F))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
(/.f64 (sqrt.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 (fma.f64 B B (.f64 A (.f64 C -4)))))) (/.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (sqrt.f64 F)))
(sqrt.f64 (.f64 (fma.f64 A (.f64 -4 C) (.f64 B B)) (/.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (/.f64 (pow.f64 (fma.f64 A (.f64 -4 C) (.f64 B B)) 2) (.f64 2 F)))))
(sqrt.f64 (/.f64 F (/.f64 (pow.f64 (fma.f64 B B (.f64 C (.f64 A -4))) 2) (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 (fma.f64 B B (.f64 C (.f64 A -4))))))))
(.f64 (sqrt.f64 (.f64 (-.f64 C (-.f64 (hypot.f64 B (-.f64 A C)) A)) (.f64 F (fma.f64 A (.f64 C -4) (.f64 B B))))) (neg.f64 (/.f64 (sqrt.f64 2) (fma.f64 A (.f64 C -4) (*.f64 B B)))))
(.f64 (sqrt.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 F (fma.f64 C (.f64 -4 A) (.f64 B B))))) (neg.f64 (/.f64 (sqrt.f64 2) (fma.f64 C (.f64 -4 A) (*.f64 B B)))))

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

Calls

4 calls:

412.0ms	C
134.0ms	B
132.0ms	F
90.0ms	A

Results

Error	Segments	Branch
46.5b	2	`A`
45.1b	3	`B`
44.1b	4	`C`
45.1b	2	`F`

Compiler

Compiled 3229 to 1398 computations (56.7% saved)

bsearch210.0ms (0.5%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
29.0ms	-6.666039774541923e-291	-5.200282697103547e-292
50.0ms	-5.240188434865328e-270	-1.2752692958878041e-281
130.0ms	-1.6209727915004033e-226	-8.550598323799258e-239

Results

166.0ms	389×	body	256	valid
18.0ms	86×	body	256	invalid
8.0ms	10×	body	2048	valid
7.0ms	13×	body	1024	valid
2.0ms	4×	body	512	valid

Compiler

Compiled 2019 to 1284 computations (36.4% saved)

regimes565.0ms (1.4%)

Counts

97 → 4

Calls

Call 1

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

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

Calls

4 calls:

165.0ms	C
132.0ms	B
123.0ms	F
80.0ms	A

Results

Error	Segments	Branch
46.5b	2	`A`
45.1b	3	`B`
44.7b	4	`C`
44.9b	3	`F`

Compiler

Compiled 3027 to 1308 computations (56.8% saved)

bsearch195.0ms (0.5%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
84.0ms	2.370431808848321e+136	1.9175416296299933e+142
56.0ms	3.2319284105612137e-77	5.690235645547438e-75
53.0ms	-1.6209727915004033e-226	-8.550598323799258e-239

Results

111.0ms	322×	body	256	valid
28.0ms	46×	body	1024	valid
19.0ms	22×	body	2048	valid
14.0ms	66×	body	256	invalid
10.0ms	26×	body	512	valid
2.0ms	2×	body	2048	invalid
1.0ms	2×	body	1024	invalid
1.0ms	2×	body	512	invalid

Compiler

Compiled 1925 to 1210 computations (37.1% saved)

regimes344.0ms (0.9%)

Counts

70 → 2

Calls

Call 1

Inputs
(sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 F (/.f64 -2 (-.f64 (.f64 A (.f64 C 4)) (*.f64 B B))))))
(sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (/.f64 (.f64 -2 F) (-.f64 (.f64 4 (.f64 A C)) (*.f64 B B)))))
(sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (/.f64 (.f64 F -2) (-.f64 (.f64 A (.f64 C 4)) (*.f64 B B)))))
(sqrt.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 -2 (/.f64 F (-.f64 (.f64 A (.f64 C 4)) (*.f64 B B))))))
(sqrt.f64 (/.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 F -2)) (-.f64 (.f64 A (.f64 C 4)) (*.f64 B B))))
(sqrt.f64 (.f64 1 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (/.f64 (.f64 F -2) (-.f64 (.f64 C (.f64 A 4)) (.f64 B B))))))
(sqrt.f64 (.f64 1 (/.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 F)) (+.f64 (.f64 C (.f64 A -4)) (.f64 B B)))))
(sqrt.f64 (.f64 1 (/.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 F -2)) (-.f64 (.f64 4 (.f64 A C)) (.f64 B B)))))
(sqrt.f64 (.f64 1 (/.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (/.f64 (-.f64 (.f64 (.f64 A C) 4) (.f64 B B)) (*.f64 F -2)))))
(sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (/.f64 1 (/.f64 (-.f64 (.f64 A (.f64 C 4)) (.f64 B B)) (*.f64 F -2)))))
(sqrt.f64 (.f64 1 (/.f64 1 (/.f64 (-.f64 (.f64 4 (.f64 A C)) (.f64 B B)) (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 F -2))))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F)) (-.f64 (+.f64 A C) (hypot.f64 (-.f64 A C) B))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))) (.f64 F (.f64 2 (+.f64 (.f64 B B) (.f64 (.f64 A C) 12))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(sqrt.f64 (+.f64 (.f64 (/.f64 (.f64 F -2) (-.f64 (.f64 A (.f64 C 4)) (.f64 B B))) (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 (/.f64 (.f64 F -2) (-.f64 (.f64 A (.f64 C 4)) (.f64 B B))) A)))
(sqrt.f64 (.f64 1 (+.f64 (.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) (.f64 -2 (/.f64 F (-.f64 (.f64 4 (.f64 A C)) (.f64 B B))))) (.f64 A (.f64 -2 (/.f64 F (-.f64 (.f64 4 (.f64 A C)) (*.f64 B B))))))))
(sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (/.f64 2 (/.f64 (fma.f64 C (.f64 -4 A) (*.f64 B B)) F))))
(sqrt.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (/.f64 2 (/.f64 (fma.f64 A (.f64 C -4) (*.f64 B B)) F))))
(sqrt.f64 (/.f64 (.f64 2 (.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))) (fma.f64 -4 (.f64 A C) (.f64 B B))))
(sqrt.f64 (/.f64 (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))) (/.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (*.f64 F 2))))
(pow.f64 (.f64 (/.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (fma.f64 A (.f64 C -4) (.f64 B B))) (.f64 2 F)) 1/2)
(sqrt.f64 (.f64 1 (/.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 F)) (fma.f64 B B (.f64 A (*.f64 -4 C))))))
(sqrt.f64 (/.f64 F (.f64 (/.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (+.f64 C (-.f64 A (hypot.f64 B (-.f64 A C)))) 2)) 1)))
(.f64 (sqrt.f64 (/.f64 (.f64 -2 F) (-.f64 (.f64 4 (.f64 A C)) (*.f64 B B)))) (sqrt.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))
(/.f64 1 (sqrt.f64 (/.f64 (/.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (*.f64 2 F)) (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))))
(/.f64 (sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 F -2))) (sqrt.f64 (-.f64 (.f64 C (.f64 A 4)) (*.f64 B B))))
(cbrt.f64 (pow.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 F (/.f64 -2 (-.f64 (.f64 A (.f64 C 4)) (*.f64 B B))))) 3/2))
(exp.f64 (.f64 (log.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 -2 (/.f64 F (-.f64 (.f64 4 (.f64 A C)) (.f64 B B)))))) 1/2))
(exp.f64 (.f64 (log.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (/.f64 (.f64 F -2) (-.f64 (.f64 A (.f64 C 4)) (.f64 B B))))) 1/2))
(pow.f64 (pow.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 -2 (/.f64 F (-.f64 (.f64 4 (.f64 A C)) (*.f64 B B))))) 1/4) 2)
(pow.f64 (pow.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 -2 (/.f64 F (-.f64 (.f64 4 (.f64 A C)) (*.f64 B B))))) 3/2) 1/3)
(pow.f64 (pow.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (/.f64 (.f64 F -2) (-.f64 (.f64 A (.f64 C 4)) (*.f64 B B)))) 1/4) 2)
(pow.f64 (pow.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (/.f64 (.f64 F -2) (-.f64 (.f64 A (.f64 C 4)) (*.f64 B B)))) 3/2) 1/3)
(/.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 A (.f64 C 4) (.f64 B B)) (.f64 (-.f64 C (-.f64 (hypot.f64 (-.f64 A C) B) A)) F)))) (-.f64 (.f64 (.f64 A C) -4) (.f64 B B)))
(/.f64 (sqrt.f64 (.f64 (.f64 F (fma.f64 C (.f64 -4 A) (.f64 B B))) (.f64 2 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))) (-.f64 (.f64 C (.f64 4 A)) (.f64 B B)))
(/.f64 (neg.f64 (sqrt.f64 (.f64 -2 (.f64 (.f64 (fma.f64 B B (.f64 (.f64 -4 A) C)) F) (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) 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 C (hypot.f64 B (-.f64 A C))))))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (.f64 (-.f64 C (-.f64 (hypot.f64 B (-.f64 A C)) A)) F))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))) (.f64 (fma.f64 B B (.f64 -4 (.f64 A C))) (.f64 F 2))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(.f64 (/.f64 1 (-.f64 (.f64 C (.f64 A -4)) (.f64 B B))) (sqrt.f64 (.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))) F) (.f64 2 (fma.f64 A (.f64 C 4) (*.f64 B B))))))
(/.f64 (neg.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))) (.f64 F (.f64 2 (+.f64 (.f64 B B) (.f64 (.f64 A C) 12))))) 3/2))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (+.f64 (.f64 (.f64 A (.f64 C -4)) F) (.f64 (.f64 B B) F)))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F)) (-.f64 (+.f64 A 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 (pow.f64 (pow.f64 (.f64 2 (.f64 (+.f64 (.f64 (.f64 B B) F) (.f64 (.f64 A (.f64 C 4)) F)) (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))))) 1/4) 2)) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
(sqrt.f64 (.f64 1 (/.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 F)) (/.f64 (-.f64 (.f64 (.f64 B B) (.f64 B B)) (pow.f64 (.f64 C (.f64 A -4)) 2)) (-.f64 (.f64 B B) (.f64 C (*.f64 A -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 -4 C)))))
(/.f64 (sqrt.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 F))) (hypot.f64 B (sqrt.f64 (.f64 C (.f64 A -4)))))
(cbrt.f64 (pow.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (/.f64 (.f64 2 F) (fma.f64 B B (.f64 A (.f64 C -4))))) 3/2))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (fma.f64 A (.f64 C -4) (.f64 B B))) (*.f64 2 F))) 1/2))
(sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (exp.f64 (log.f64 (/.f64 (.f64 F -2) (-.f64 (.f64 A (.f64 C 4)) (*.f64 B B)))))))
(pow.f64 (pow.f64 (.f64 (/.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (fma.f64 A (.f64 C -4) (.f64 B B))) (.f64 2 F)) 1/4) 2)
(pow.f64 (pow.f64 (.f64 (/.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (fma.f64 A (.f64 C -4) (.f64 B B))) (.f64 2 F)) 3/2) 1/3)
(sqrt.f64 (.f64 (+.f64 A (sqrt.f64 (pow.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) 2))) (.f64 F (/.f64 -2 (-.f64 (.f64 A (.f64 C 4)) (*.f64 B B))))))
(sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (pow.f64 (cbrt.f64 (/.f64 (.f64 F -2) (-.f64 (.f64 A (.f64 C 4)) (*.f64 B B)))) 3)))
(exp.f64 (.f64 (.f64 3/2 (log.f64 (.f64 (-.f64 C (-.f64 (hypot.f64 B (-.f64 A C)) A)) (.f64 2 (/.f64 F (fma.f64 A (.f64 C -4) (.f64 B B))))))) 1/3))
(sqrt.f64 (.f64 1 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (exp.f64 (log.f64 (.f64 -2 (/.f64 F (-.f64 (.f64 4 (.f64 A C)) (.f64 B B)))))))))
(sqrt.f64 (.f64 1 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (log.f64 (exp.f64 (.f64 -2 (/.f64 F (-.f64 (.f64 4 (.f64 A C)) (.f64 B B)))))))))
(sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (-.f64 (exp.f64 (log1p.f64 (/.f64 (.f64 F -2) (-.f64 (.f64 A (.f64 C 4)) (*.f64 B B))))) 1)))
(sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (pow.f64 (pow.f64 (/.f64 (.f64 F -2) (-.f64 (.f64 A (.f64 C 4)) (*.f64 B B))) 3) 1/3)))
(sqrt.f64 (.f64 1 (.f64 (+.f64 A (sqrt.f64 (pow.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) 2))) (/.f64 (.f64 F -2) (-.f64 (.f64 C (.f64 A 4)) (.f64 B B))))))
(sqrt.f64 (.f64 1 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (pow.f64 (cbrt.f64 (.f64 -2 (/.f64 F (-.f64 (.f64 4 (.f64 A C)) (.f64 B B))))) 3))))
(sqrt.f64 (.f64 1 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (pow.f64 (pow.f64 (.f64 -2 (/.f64 F (-.f64 (.f64 4 (.f64 A C)) (.f64 B B)))) 3) 1/3))))
(/.f64 (sqrt.f64 (.f64 (+.f64 (hypot.f64 B (-.f64 A C)) (+.f64 A C)) (.f64 (.f64 (fma.f64 B B (.f64 C (.f64 A -4))) F) 2))) (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 (hypot.f64 B (-.f64 A C)) (+.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 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))))) (fma.f64 B B (.f64 C (*.f64 A -4))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 F (.f64 2 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (+.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 (fma.f64 B B (.f64 A (.f64 -4 C))) (.f64 2 (.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
(sqrt.f64 (.f64 1 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 (/.f64 (sqrt.f64 (.f64 F -2)) 1) (/.f64 (sqrt.f64 (.f64 F -2)) (-.f64 (.f64 4 (.f64 A C)) (.f64 B B)))))))
(.f64 (sqrt.f64 (.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C 4))) F) (-.f64 (+.f64 A C) (hypot.f64 (-.f64 A C) B)))) (/.f64 (sqrt.f64 2) (-.f64 (.f64 -4 (.f64 A C)) (.f64 B B))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (neg.f64 (.f64 2 F)))))) (fma.f64 B B (.f64 A (*.f64 -4 C))))
(/.f64 (sqrt.f64 2) (/.f64 (-.f64 (.f64 A (.f64 C -4)) (.f64 B B)) (sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))) (.f64 F (fma.f64 A (.f64 C 4) (*.f64 B B)))))))

Outputs

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

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

Calls

4 calls:

123.0ms	C
64.0ms	F
56.0ms	A
35.0ms	B

Results

Error	Segments	Branch
48.1b	1	`A`
48.1b	1	`B`
46.4b	2	`C`
46.5b	2	`F`

Compiler

Compiled 2070 to 900 computations (56.5% saved)

bsearch54.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
52.0ms	-1.6209727915004033e-226	-8.550598323799258e-239

Results

33.0ms	150×	body	256	valid
9.0ms	3×	body	2048	valid
4.0ms	20×	body	256	invalid
3.0ms	6×	body	1024	valid
0.0ms	1×	body	512	valid

Compiler

Compiled 731 to 468 computations (36% saved)

regimes160.0ms (0.4%)

Counts

33 → 2

Calls

Call 1

Inputs
(sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 F (/.f64 -2 (-.f64 (.f64 A (.f64 C 4)) (*.f64 B B))))))
(sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (/.f64 (.f64 -2 F) (-.f64 (.f64 4 (.f64 A C)) (*.f64 B B)))))
(sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (/.f64 (.f64 F -2) (-.f64 (.f64 A (.f64 C 4)) (*.f64 B B)))))
(sqrt.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 -2 (/.f64 F (-.f64 (.f64 A (.f64 C 4)) (*.f64 B B))))))
(sqrt.f64 (/.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 F -2)) (-.f64 (.f64 A (.f64 C 4)) (*.f64 B B))))
(sqrt.f64 (.f64 1 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (/.f64 (.f64 F -2) (-.f64 (.f64 C (.f64 A 4)) (.f64 B B))))))
(sqrt.f64 (.f64 1 (/.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 F)) (+.f64 (.f64 C (.f64 A -4)) (.f64 B B)))))
(sqrt.f64 (.f64 1 (/.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 F -2)) (-.f64 (.f64 4 (.f64 A C)) (.f64 B B)))))
(sqrt.f64 (.f64 1 (/.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (/.f64 (-.f64 (.f64 (.f64 A C) 4) (.f64 B B)) (*.f64 F -2)))))
(sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (/.f64 1 (/.f64 (-.f64 (.f64 A (.f64 C 4)) (.f64 B B)) (*.f64 F -2)))))
(sqrt.f64 (.f64 1 (/.f64 1 (/.f64 (-.f64 (.f64 4 (.f64 A C)) (.f64 B B)) (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 F -2))))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F)) (-.f64 (+.f64 A C) (hypot.f64 (-.f64 A C) B))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))) (.f64 F (.f64 2 (+.f64 (.f64 B B) (.f64 (.f64 A C) 12))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(sqrt.f64 (+.f64 (.f64 (/.f64 (.f64 F -2) (-.f64 (.f64 A (.f64 C 4)) (.f64 B B))) (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 (/.f64 (.f64 F -2) (-.f64 (.f64 A (.f64 C 4)) (.f64 B B))) A)))
(sqrt.f64 (.f64 1 (+.f64 (.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) (.f64 -2 (/.f64 F (-.f64 (.f64 4 (.f64 A C)) (.f64 B B))))) (.f64 A (.f64 -2 (/.f64 F (-.f64 (.f64 4 (.f64 A C)) (*.f64 B B))))))))
(sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (/.f64 2 (/.f64 (fma.f64 C (.f64 -4 A) (*.f64 B B)) F))))
(sqrt.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (/.f64 2 (/.f64 (fma.f64 A (.f64 C -4) (*.f64 B B)) F))))
(sqrt.f64 (/.f64 (.f64 2 (.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))) (fma.f64 -4 (.f64 A C) (.f64 B B))))
(sqrt.f64 (/.f64 (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))) (/.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (*.f64 F 2))))
(pow.f64 (.f64 (/.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (fma.f64 A (.f64 C -4) (.f64 B B))) (.f64 2 F)) 1/2)
(sqrt.f64 (.f64 1 (/.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 F)) (fma.f64 B B (.f64 A (*.f64 -4 C))))))
(sqrt.f64 (/.f64 F (.f64 (/.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (+.f64 C (-.f64 A (hypot.f64 B (-.f64 A C)))) 2)) 1)))
(.f64 (sqrt.f64 (/.f64 (.f64 -2 F) (-.f64 (.f64 4 (.f64 A C)) (*.f64 B B)))) (sqrt.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))
(/.f64 1 (sqrt.f64 (/.f64 (/.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (*.f64 2 F)) (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))))
(/.f64 (sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 F -2))) (sqrt.f64 (-.f64 (.f64 C (.f64 A 4)) (*.f64 B B))))
(cbrt.f64 (pow.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 F (/.f64 -2 (-.f64 (.f64 A (.f64 C 4)) (*.f64 B B))))) 3/2))
(exp.f64 (.f64 (log.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 -2 (/.f64 F (-.f64 (.f64 4 (.f64 A C)) (.f64 B B)))))) 1/2))
(exp.f64 (.f64 (log.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (/.f64 (.f64 F -2) (-.f64 (.f64 A (.f64 C 4)) (.f64 B B))))) 1/2))
(pow.f64 (pow.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 -2 (/.f64 F (-.f64 (.f64 4 (.f64 A C)) (*.f64 B B))))) 1/4) 2)
(pow.f64 (pow.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 -2 (/.f64 F (-.f64 (.f64 4 (.f64 A C)) (*.f64 B B))))) 3/2) 1/3)
(pow.f64 (pow.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (/.f64 (.f64 F -2) (-.f64 (.f64 A (.f64 C 4)) (*.f64 B B)))) 1/4) 2)
(pow.f64 (pow.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (/.f64 (.f64 F -2) (-.f64 (.f64 A (.f64 C 4)) (*.f64 B B)))) 3/2) 1/3)
(/.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 A (.f64 C 4) (.f64 B B)) (.f64 (-.f64 C (-.f64 (hypot.f64 (-.f64 A C) B) A)) F)))) (-.f64 (.f64 (.f64 A C) -4) (.f64 B B)))

Outputs

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

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

Calls

4 calls:

62.0ms	C
28.0ms	F
22.0ms	A
20.0ms	B

Results

Error	Segments	Branch
49.0b	1	`A`
49.0b	1	`B`
47.3b	2	`C`
47.5b	2	`F`

Compiler

Compiled 912 to 391 computations (57.1% saved)

bsearch61.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
60.0ms	-1.6209727915004033e-226	-8.550598323799258e-239

Results

46.0ms	151×	body	256	valid
6.0ms	28×	body	256	invalid
4.0ms	5×	body	2048	valid
2.0ms	3×	body	1024	valid
0.0ms	1×	body	512	valid

Compiler

Compiled 751 to 478 computations (36.4% saved)

regimes113.0ms (0.3%)

Counts

21 → 2

Calls

Call 1

Inputs
(sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 F (/.f64 -2 (-.f64 (.f64 A (.f64 C 4)) (*.f64 B B))))))
(sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (/.f64 (.f64 -2 F) (-.f64 (.f64 4 (.f64 A C)) (*.f64 B B)))))
(sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (/.f64 (.f64 F -2) (-.f64 (.f64 A (.f64 C 4)) (*.f64 B B)))))
(sqrt.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 -2 (/.f64 F (-.f64 (.f64 A (.f64 C 4)) (*.f64 B B))))))
(sqrt.f64 (/.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 F -2)) (-.f64 (.f64 A (.f64 C 4)) (*.f64 B B))))
(sqrt.f64 (.f64 1 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (/.f64 (.f64 F -2) (-.f64 (.f64 C (.f64 A 4)) (.f64 B B))))))
(sqrt.f64 (.f64 1 (/.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 F)) (+.f64 (.f64 C (.f64 A -4)) (.f64 B B)))))
(sqrt.f64 (.f64 1 (/.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 F -2)) (-.f64 (.f64 4 (.f64 A C)) (.f64 B B)))))
(sqrt.f64 (.f64 1 (/.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (/.f64 (-.f64 (.f64 (.f64 A C) 4) (.f64 B B)) (*.f64 F -2)))))
(sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (/.f64 1 (/.f64 (-.f64 (.f64 A (.f64 C 4)) (.f64 B B)) (*.f64 F -2)))))
(sqrt.f64 (.f64 1 (/.f64 1 (/.f64 (-.f64 (.f64 4 (.f64 A C)) (.f64 B B)) (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 F -2))))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F)) (-.f64 (+.f64 A C) (hypot.f64 (-.f64 A C) B))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))) (.f64 F (.f64 2 (+.f64 (.f64 B B) (.f64 (.f64 A C) 12))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(sqrt.f64 (+.f64 (.f64 (/.f64 (.f64 F -2) (-.f64 (.f64 A (.f64 C 4)) (.f64 B B))) (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 (/.f64 (.f64 F -2) (-.f64 (.f64 A (.f64 C 4)) (.f64 B B))) A)))
(sqrt.f64 (.f64 1 (+.f64 (.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) (.f64 -2 (/.f64 F (-.f64 (.f64 4 (.f64 A C)) (.f64 B B))))) (.f64 A (.f64 -2 (/.f64 F (-.f64 (.f64 4 (.f64 A C)) (*.f64 B B))))))))
(sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (/.f64 2 (/.f64 (fma.f64 C (.f64 -4 A) (*.f64 B B)) F))))
(sqrt.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (/.f64 2 (/.f64 (fma.f64 A (.f64 C -4) (*.f64 B B)) F))))
(sqrt.f64 (/.f64 (.f64 2 (.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))) (fma.f64 -4 (.f64 A C) (.f64 B B))))
(sqrt.f64 (/.f64 (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))) (/.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (*.f64 F 2))))
(pow.f64 (.f64 (/.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (fma.f64 A (.f64 C -4) (.f64 B B))) (.f64 2 F)) 1/2)
(sqrt.f64 (.f64 1 (/.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 F)) (fma.f64 B B (.f64 A (*.f64 -4 C))))))

Outputs

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

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

Calls

4 calls:

41.0ms	F
36.0ms	C
15.0ms	B
10.0ms	A

Results

Error	Segments	Branch
49.0b	1	`A`
49.0b	1	`B`
47.3b	2	`C`
47.5b	2	`F`

Compiler

Compiled 591 to 254 computations (57% saved)

bsearch59.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
58.0ms	-1.613918311172443e-184	-5.2908708744174615e-197

Results

31.0ms	144×	body	256	valid
11.0ms	5×	body	2048	valid
8.0ms	36×	body	256	invalid
3.0ms	5×	body	1024	valid
2.0ms	6×	body	512	valid

Compiler

Compiled 741 to 468 computations (36.8% saved)

regimes113.0ms (0.3%)

Counts

19 → 3

Calls

Call 1

Inputs
(sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 F (/.f64 -2 (-.f64 (.f64 A (.f64 C 4)) (*.f64 B B))))))
(sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (/.f64 (.f64 -2 F) (-.f64 (.f64 4 (.f64 A C)) (*.f64 B B)))))
(sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (/.f64 (.f64 F -2) (-.f64 (.f64 A (.f64 C 4)) (*.f64 B B)))))
(sqrt.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 -2 (/.f64 F (-.f64 (.f64 A (.f64 C 4)) (*.f64 B B))))))
(sqrt.f64 (/.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 F -2)) (-.f64 (.f64 A (.f64 C 4)) (*.f64 B B))))
(sqrt.f64 (.f64 1 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (/.f64 (.f64 F -2) (-.f64 (.f64 C (.f64 A 4)) (.f64 B B))))))
(sqrt.f64 (.f64 1 (/.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 2 F)) (+.f64 (.f64 C (.f64 A -4)) (.f64 B B)))))
(sqrt.f64 (.f64 1 (/.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 F -2)) (-.f64 (.f64 4 (.f64 A C)) (.f64 B B)))))
(sqrt.f64 (.f64 1 (/.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (/.f64 (-.f64 (.f64 (.f64 A C) 4) (.f64 B B)) (*.f64 F -2)))))
(sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (/.f64 1 (/.f64 (-.f64 (.f64 A (.f64 C 4)) (.f64 B B)) (*.f64 F -2)))))
(sqrt.f64 (.f64 1 (/.f64 1 (/.f64 (-.f64 (.f64 4 (.f64 A C)) (.f64 B B)) (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 F -2))))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F)) (-.f64 (+.f64 A C) (hypot.f64 (-.f64 A C) B))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))) (.f64 F (.f64 2 (+.f64 (.f64 B B) (.f64 (.f64 A C) 12))))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C))))
(sqrt.f64 (+.f64 (.f64 (/.f64 (.f64 F -2) (-.f64 (.f64 A (.f64 C 4)) (.f64 B B))) (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 (/.f64 (.f64 F -2) (-.f64 (.f64 A (.f64 C 4)) (.f64 B B))) A)))
(sqrt.f64 (.f64 1 (+.f64 (.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) (.f64 -2 (/.f64 F (-.f64 (.f64 4 (.f64 A C)) (.f64 B B))))) (.f64 A (.f64 -2 (/.f64 F (-.f64 (.f64 4 (.f64 A C)) (*.f64 B B))))))))
(sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (/.f64 2 (/.f64 (fma.f64 C (.f64 -4 A) (*.f64 B B)) F))))
(sqrt.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (/.f64 2 (/.f64 (fma.f64 A (.f64 C -4) (*.f64 B B)) F))))
(sqrt.f64 (/.f64 (.f64 2 (.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))) (fma.f64 -4 (.f64 A C) (.f64 B B))))
(sqrt.f64 (/.f64 (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))) (/.f64 (fma.f64 A (.f64 C -4) (.f64 B B)) (*.f64 F 2))))

Outputs

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

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

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

Calls

4 calls:

35.0ms	F
29.0ms	A
20.0ms	C
9.0ms	B

Results

Error	Segments	Branch
49.0b	1	`A`
49.0b	1	`B`
48.0b	2	`C`
47.6b	3	`F`

Compiler

Compiled 542 to 234 computations (56.8% saved)

bsearch529.0ms (1.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
473.0ms	6.391126676866553e+58	4.887211317760669e+133
56.0ms	-1.452269182177321e-298	-7.09256387508545e-308

Results

198.0ms	733×	body	256	invalid
91.0ms	127×	body	1024	invalid
73.0ms	292×	body	256	valid
71.0ms	80×	body	2048	invalid
39.0ms	97×	body	512	invalid
12.0ms	21×	body	1024	valid
6.0ms	8×	body	2048	valid
6.0ms	15×	body	512	valid

Compiler

Compiled 1476 to 989 computations (33% saved)

regimes56.0ms (0.1%)

Counts

11 → 1

Calls

Call 1

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

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

Calls

4 calls:

13.0ms	C
6.0ms	A
6.0ms	B
6.0ms	F

Results

Error	Segments	Branch
56.4b	1	`A`
56.4b	1	`B`
56.4b	1	`C`
56.4b	1	`F`

Compiler

Compiled 302 to 137 computations (54.6% saved)

regimes62.0ms (0.2%)

Counts

10 → 1

Calls

Call 1

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

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

Calls

4 calls:

39.0ms	C
6.0ms	A
6.0ms	F
6.0ms	B

Results

Error	Segments	Branch
56.4b	1	`A`
56.4b	1	`B`
56.4b	1	`C`
56.4b	1	`F`

Compiler

Compiled 274 to 125 computations (54.4% saved)

regimes24.0ms (0.1%)

Accuracy

Total -0.5b remaining (-0.9%)

Threshold costs -0.5b (-0.9%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

4 calls:

10.0ms	F
4.0ms	B
4.0ms	A
4.0ms	C

Results

Error	Segments	Branch
57.1b	1	`A`
57.1b	1	`B`
57.1b	1	`C`
57.1b	1	`F`

Compiler

Compiled 120 to 63 computations (47.5% saved)

simplify50.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

68×	`*-commutative_binary64`
47×	`+-commutative_binary64`
42×	`sub-neg_binary64`
29×	`neg-sub0_binary64`
29×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	163	1080
1	286	1080
2	371	1080
3	429	1080
4	457	1080
5	461	1080
6	462	1080

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.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))) 0) (/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 (+.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) A) F)) (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) 2)))) (fma.f64 B B (.f64 A (.f64 -4 C)))) (pow.f64 (.f64 (/.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (fma.f64 A (.f64 C -4) (.f64 B B))) (.f64 2 F)) 1/2))
(if (<=.f64 C -8535058474086213/53344115463038834192638814325770062377158066578527265283170062494112297902541056572171457606972434325943439284747465923567110413232954920642906848418646640368761260636112116467704626287294512197831720129087092815853525984299811690329311019008) (sqrt.f64 (/.f64 F (.f64 (/.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (+.f64 C (-.f64 A (hypot.f64 B (-.f64 A C)))) 2)) 1))) (if (<=.f64 C -8501960384168381/653996952628336987883560210607911261328982429019490727199554680401825592727622145076415026132626866532955732981904996841544888480036812770751011814861973559810459458912611754481266760562888863640011851938052153014134639969934006809031100094365055109531933378765047739725368031717079125173169291264) (/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F)) (-.f64 (+.f64 A C) (hypot.f64 (-.f64 A C) B))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C)))) (if (<=.f64 C -4564455225236349/702223880805592151456759840151962786569522257399338504974336254522393264865238137237142489540654437582500444843247630303354647534431314931612685275935445798350655833690880801860555545317367555154113605281582053784524026102900245630757473088050106395169337932361665227499793929447186391815763110662594625536) (/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 (-.f64 A C) B)) (fma.f64 B B (.f64 A (.f64 C -4))))) (sqrt.f64 (.f64 F 2)))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C)))) (/.f64 (neg.f64 (.f64 (hypot.f64 B (sqrt.f64 (.f64 A (.f64 -4 C)))) (sqrt.f64 (.f64 (+.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) A) (.f64 2 F))))) (fma.f64 B B (.f64 A (.f64 -4 C)))))))
(if (<=.f64 C -8535058474086213/53344115463038834192638814325770062377158066578527265283170062494112297902541056572171457606972434325943439284747465923567110413232954920642906848418646640368761260636112116467704626287294512197831720129087092815853525984299811690329311019008) (sqrt.f64 (/.f64 F (.f64 (/.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (+.f64 C (-.f64 A (hypot.f64 B (-.f64 A C)))) 2)) 1))) (if (<=.f64 C 7822218149124427/130370302485407109521180524058200202307293977194619920040712988758680403184853549195737432064) (/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F)) (-.f64 (+.f64 A C) (hypot.f64 (-.f64 A C) B))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C)))) (if (<=.f64 C 28000000000000002159043691179454053246477554419514827152603556493272202351882555014742895405660140977380355708427187285435680284676718592) (/.f64 (.f64 (sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))) F)) (sqrt.f64 (.f64 2 (fma.f64 A (.f64 C 4) (.f64 B B))))) (-.f64 (.f64 (.f64 A C) -4) (.f64 B B))) (cbrt.f64 (pow.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (/.f64 (.f64 2 F) (fma.f64 B B (.f64 A (*.f64 C -4))))) 3/2)))))
(if (<=.f64 C -8022954965641041/1707011694817242694164442058424641996069058130512872489061441999811593532881313810309486643423117898430190057111918909554147533223454557460573019149396692491800360340355587726966548041193424390330615044130786970107312831497593974090537952608256) (sqrt.f64 (/.f64 F (.f64 (/.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (+.f64 C (-.f64 A (hypot.f64 B (-.f64 A C)))) 2)) 1))) (/.f64 (sqrt.f64 (.f64 (.f64 F (fma.f64 C (.f64 -4 A) (.f64 B B))) (.f64 2 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))) (-.f64 (.f64 C (.f64 4 A)) (.f64 B B))))
(if (<=.f64 C -8535058474086213/53344115463038834192638814325770062377158066578527265283170062494112297902541056572171457606972434325943439284747465923567110413232954920642906848418646640368761260636112116467704626287294512197831720129087092815853525984299811690329311019008) (sqrt.f64 (/.f64 F (.f64 (/.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (+.f64 C (-.f64 A (hypot.f64 B (-.f64 A C)))) 2)) 1))) (/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F)) (-.f64 (+.f64 A C) (hypot.f64 (-.f64 A C) B))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C)))))
(if (<=.f64 C -3827252586451049/38272525864510487788655081260950309410329935801733327822136058989190002861848048793862592256319392263154317107227530633921701753935367770195646260767912323717284188541295913442384799112073398408183808) (pow.f64 (.f64 (/.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (fma.f64 A (.f64 C -4) (.f64 B B))) (.f64 2 F)) 1/2) (/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F)) (-.f64 (+.f64 A C) (hypot.f64 (-.f64 A C) B))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C)))))
(if (<=.f64 F -1531852991339509/98829225247710262867429368515096341332791332892647518728955741224331220492185227974590031104217345944915565363435943316108305047551656971126471386689813725547615929822542168634993607295943953291620980311754270053008792716515963231747120779125566189619536160406425180445475300105093018814544105228831057745755716670455808) (/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F)) (-.f64 (+.f64 A C) (hypot.f64 (-.f64 A C) B))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C)))) (if (<=.f64 F 64999999999999999832268122104098466167637483886642265587712) (sqrt.f64 (.f64 1 (/.f64 1 (/.f64 (-.f64 (.f64 4 (.f64 A C)) (.f64 B B)) (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 F -2)))))) (sqrt.f64 (.f64 1 (/.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (/.f64 (-.f64 (.f64 (.f64 A C) 4) (.f64 B B)) (.f64 F -2)))))))
(sqrt.f64 (.f64 1 (/.f64 1 (/.f64 (-.f64 (.f64 4 (.f64 A C)) (.f64 B B)) (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 F -2))))))
(sqrt.f64 (/.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 F -2)) (-.f64 (.f64 A (.f64 C 4)) (*.f64 B B))))
(sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 F (/.f64 -2 (-.f64 (.f64 A (.f64 C 4)) (*.f64 B B))))))

Outputs
(if (<=.f64 (/.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))) 0) (/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 (+.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) A) F)) (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 -4 C))) 2)))) (fma.f64 B B (.f64 A (.f64 -4 C)))) (pow.f64 (.f64 (/.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (fma.f64 A (.f64 C -4) (.f64 B B))) (.f64 2 F)) 1/2))
(if (<=.f64 (/.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 B 2) (pow.f64 (-.f64 A C) 2))))))) (-.f64 (pow.f64 B 2) (.f64 (.f64 4 A) C))) 0) (/.f64 (.f64 (sqrt.f64 (.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))) (neg.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 (.f64 (/.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (fma.f64 A (.f64 C -4) (.f64 B B))) (.f64 2 F)) 1/2))
(if (<=.f64 (/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 (+.f64 (pow.f64 B 2) (.f64 C (.f64 A -4))) F)) (-.f64 (+.f64 A C) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 (-.f64 A C) 2))))))) (+.f64 (pow.f64 B 2) (.f64 C (.f64 A -4)))) 0) (/.f64 (.f64 (sqrt.f64 (.f64 F (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))) (neg.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 (.f64 (/.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (fma.f64 A (.f64 C -4) (.f64 B B))) (.f64 2 F)) 1/2))
(if (<=.f64 C -8535058474086213/53344115463038834192638814325770062377158066578527265283170062494112297902541056572171457606972434325943439284747465923567110413232954920642906848418646640368761260636112116467704626287294512197831720129087092815853525984299811690329311019008) (sqrt.f64 (/.f64 F (.f64 (/.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (+.f64 C (-.f64 A (hypot.f64 B (-.f64 A C)))) 2)) 1))) (if (<=.f64 C -8501960384168381/653996952628336987883560210607911261328982429019490727199554680401825592727622145076415026132626866532955732981904996841544888480036812770751011814861973559810459458912611754481266760562888863640011851938052153014134639969934006809031100094365055109531933378765047739725368031717079125173169291264) (/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F)) (-.f64 (+.f64 A C) (hypot.f64 (-.f64 A C) B))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C)))) (if (<=.f64 C -4564455225236349/702223880805592151456759840151962786569522257399338504974336254522393264865238137237142489540654437582500444843247630303354647534431314931612685275935445798350655833690880801860555545317367555154113605281582053784524026102900245630757473088050106395169337932361665227499793929447186391815763110662594625536) (/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 (-.f64 A C) B)) (fma.f64 B B (.f64 A (.f64 C -4))))) (sqrt.f64 (.f64 F 2)))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C)))) (/.f64 (neg.f64 (.f64 (hypot.f64 B (sqrt.f64 (.f64 A (.f64 -4 C)))) (sqrt.f64 (.f64 (+.f64 (-.f64 C (hypot.f64 B (-.f64 A C))) A) (.f64 2 F))))) (fma.f64 B B (.f64 A (.f64 -4 C)))))))
(if (<=.f64 C -8535058474086213/53344115463038834192638814325770062377158066578527265283170062494112297902541056572171457606972434325943439284747465923567110413232954920642906848418646640368761260636112116467704626287294512197831720129087092815853525984299811690329311019008) (sqrt.f64 (/.f64 F (/.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 2 (+.f64 C (-.f64 A (hypot.f64 B (-.f64 A C)))))))) (if (<=.f64 C -8501960384168381/653996952628336987883560210607911261328982429019490727199554680401825592727622145076415026132626866532955732981904996841544888480036812770751011814861973559810459458912611754481266760562888863640011851938052153014134639969934006809031100094365055109531933378765047739725368031717079125173169291264) (/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 F (+.f64 (.f64 B B) (.f64 -4 (.f64 A C))))) (-.f64 (+.f64 A C) (hypot.f64 (-.f64 A C) B))))) (+.f64 (.f64 B B) (.f64 -4 (.f64 A C)))) (if (<=.f64 C -4564455225236349/702223880805592151456759840151962786569522257399338504974336254522393264865238137237142489540654437582500444843247630303354647534431314931612685275935445798350655833690880801860555545317367555154113605281582053784524026102900245630757473088050106395169337932361665227499793929447186391815763110662594625536) (/.f64 (.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (-.f64 (+.f64 A C) (hypot.f64 (-.f64 A C) B)))) (neg.f64 (sqrt.f64 (.f64 2 F)))) (+.f64 (.f64 B B) (.f64 -4 (.f64 A C)))) (/.f64 (.f64 (hypot.f64 B (sqrt.f64 (.f64 A (.f64 C -4)))) (neg.f64 (sqrt.f64 (.f64 (.f64 2 F) (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))))))) (fma.f64 B B (.f64 A (*.f64 C -4)))))))
(if (<=.f64 C -8535058474086213/53344115463038834192638814325770062377158066578527265283170062494112297902541056572171457606972434325943439284747465923567110413232954920642906848418646640368761260636112116467704626287294512197831720129087092815853525984299811690329311019008) (sqrt.f64 (/.f64 F (.f64 (/.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (+.f64 C (-.f64 A (hypot.f64 B (-.f64 A C)))) 2)) 1))) (if (<=.f64 C 7822218149124427/130370302485407109521180524058200202307293977194619920040712988758680403184853549195737432064) (/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F)) (-.f64 (+.f64 A C) (hypot.f64 (-.f64 A C) B))))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C)))) (if (<=.f64 C 28000000000000002159043691179454053246477554419514827152603556493272202351882555014742895405660140977380355708427187285435680284676718592) (/.f64 (.f64 (sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))) F)) (sqrt.f64 (.f64 2 (fma.f64 A (.f64 C 4) (.f64 B B))))) (-.f64 (.f64 (.f64 A C) -4) (.f64 B B))) (cbrt.f64 (pow.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (/.f64 (.f64 2 F) (fma.f64 B B (.f64 A (*.f64 C -4))))) 3/2)))))
(if (<=.f64 C -8535058474086213/53344115463038834192638814325770062377158066578527265283170062494112297902541056572171457606972434325943439284747465923567110413232954920642906848418646640368761260636112116467704626287294512197831720129087092815853525984299811690329311019008) (sqrt.f64 (/.f64 F (/.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 2 (+.f64 C (-.f64 A (hypot.f64 B (-.f64 A C)))))))) (if (<=.f64 C 7822218149124427/130370302485407109521180524058200202307293977194619920040712988758680403184853549195737432064) (/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 F (+.f64 (.f64 B B) (.f64 -4 (.f64 A C))))) (-.f64 (+.f64 A C) (hypot.f64 (-.f64 A C) B))))) (+.f64 (.f64 B B) (.f64 -4 (.f64 A C)))) (if (<=.f64 C 28000000000000002159043691179454053246477554419514827152603556493272202351882555014742895405660140977380355708427187285435680284676718592) (/.f64 (.f64 (sqrt.f64 (.f64 F (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B))))) (sqrt.f64 (.f64 2 (fma.f64 A (.f64 4 C) (.f64 B B))))) (-.f64 (.f64 -4 (.f64 A C)) (.f64 B B))) (cbrt.f64 (pow.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (/.f64 (.f64 2 F) (fma.f64 B B (.f64 A (.f64 C -4))))) 3/2)))))
(if (<=.f64 C -8022954965641041/1707011694817242694164442058424641996069058130512872489061441999811593532881313810309486643423117898430190057111918909554147533223454557460573019149396692491800360340355587726966548041193424390330615044130786970107312831497593974090537952608256) (sqrt.f64 (/.f64 F (.f64 (/.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (+.f64 C (-.f64 A (hypot.f64 B (-.f64 A C)))) 2)) 1))) (/.f64 (sqrt.f64 (.f64 (.f64 F (fma.f64 C (.f64 -4 A) (.f64 B B))) (.f64 2 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))) (-.f64 (.f64 C (.f64 4 A)) (.f64 B B))))
(if (<=.f64 C -8022954965641041/1707011694817242694164442058424641996069058130512872489061441999811593532881313810309486643423117898430190057111918909554147533223454557460573019149396692491800360340355587726966548041193424390330615044130786970107312831497593974090537952608256) (sqrt.f64 (/.f64 F (/.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 2 (+.f64 C (-.f64 A (hypot.f64 B (-.f64 A C)))))))) (/.f64 (sqrt.f64 (.f64 (.f64 F (fma.f64 C (.f64 A -4) (.f64 B B))) (.f64 2 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C))))))) (-.f64 (.f64 (.f64 4 A) C) (*.f64 B B))))
(if (<=.f64 C -8535058474086213/53344115463038834192638814325770062377158066578527265283170062494112297902541056572171457606972434325943439284747465923567110413232954920642906848418646640368761260636112116467704626287294512197831720129087092815853525984299811690329311019008) (sqrt.f64 (/.f64 F (.f64 (/.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 (+.f64 C (-.f64 A (hypot.f64 B (-.f64 A C)))) 2)) 1))) (/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F)) (-.f64 (+.f64 A C) (hypot.f64 (-.f64 A C) B))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C)))))
(if (<=.f64 C -8535058474086213/53344115463038834192638814325770062377158066578527265283170062494112297902541056572171457606972434325943439284747465923567110413232954920642906848418646640368761260636112116467704626287294512197831720129087092815853525984299811690329311019008) (sqrt.f64 (/.f64 F (/.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 2 (+.f64 C (-.f64 A (hypot.f64 B (-.f64 A C)))))))) (/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 F (+.f64 (.f64 B B) (.f64 -4 (.f64 A C))))) (-.f64 (+.f64 A C) (hypot.f64 (-.f64 A C) B))))) (+.f64 (.f64 B B) (.f64 -4 (.f64 A C)))))
(if (<=.f64 C -3827252586451049/38272525864510487788655081260950309410329935801733327822136058989190002861848048793862592256319392263154317107227530633921701753935367770195646260767912323717284188541295913442384799112073398408183808) (pow.f64 (.f64 (/.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (fma.f64 A (.f64 C -4) (.f64 B B))) (.f64 2 F)) 1/2) (/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 (-.f64 (.f64 B B) (.f64 4 (.f64 A C))) F)) (-.f64 (+.f64 A C) (hypot.f64 (-.f64 A C) B))))) (-.f64 (.f64 B B) (.f64 4 (*.f64 A C)))))
(if (<=.f64 C -3827252586451049/38272525864510487788655081260950309410329935801733327822136058989190002861848048793862592256319392263154317107227530633921701753935367770195646260767912323717284188541295913442384799112073398408183808) (pow.f64 (.f64 (/.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (fma.f64 A (.f64 C -4) (.f64 B B))) (.f64 2 F)) 1/2) (/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 F (+.f64 (.f64 B B) (.f64 -4 (.f64 A C))))) (-.f64 (+.f64 A C) (hypot.f64 (-.f64 A C) B))))) (+.f64 (.f64 B B) (.f64 -4 (*.f64 A C)))))
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(if (<=.f64 F -1531852991339509/98829225247710262867429368515096341332791332892647518728955741224331220492185227974590031104217345944915565363435943316108305047551656971126471386689813725547615929822542168634993607295943953291620980311754270053008792716515963231747120779125566189619536160406425180445475300105093018814544105228831057745755716670455808) (/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 F (+.f64 (.f64 B B) (.f64 -4 (.f64 A C))))) (-.f64 (+.f64 A C) (hypot.f64 (-.f64 A C) B))))) (+.f64 (.f64 B B) (.f64 -4 (.f64 A C)))) (if (<=.f64 F 64999999999999999832268122104098466167637483886642265587712) (sqrt.f64 (/.f64 1 (/.f64 (-.f64 (.f64 4 (.f64 A C)) (.f64 B B)) (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 F -2))))) (sqrt.f64 (/.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (/.f64 (-.f64 (.f64 4 (.f64 A C)) (.f64 B B)) (.f64 F -2))))))
(sqrt.f64 (.f64 1 (/.f64 1 (/.f64 (-.f64 (.f64 4 (.f64 A C)) (.f64 B B)) (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 F -2))))))
(sqrt.f64 (/.f64 1 (/.f64 (-.f64 (.f64 4 (.f64 A C)) (.f64 B B)) (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (*.f64 F -2)))))
(sqrt.f64 (/.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 F -2)) (-.f64 (.f64 A (.f64 C 4)) (*.f64 B B))))
(sqrt.f64 (/.f64 (.f64 (-.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) (.f64 F -2)) (-.f64 (.f64 A (.f64 4 C)) (*.f64 B B))))
(sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 F (/.f64 -2 (-.f64 (.f64 A (.f64 C 4)) (*.f64 B B))))))
(sqrt.f64 (.f64 (+.f64 A (-.f64 C (hypot.f64 B (-.f64 A C)))) (.f64 F (/.f64 -2 (-.f64 (.f64 A (.f64 4 C)) (*.f64 B B))))))

Compiler

Compiled 760 to 430 computations (43.4% saved)

soundness444.0ms (1.1%)

Algorithm

4×	egg-herbie

Rules

709×	`fma-def_binary64`
709×	`fma-def_binary64`
669×	`fma-neg_binary64`
669×	`fma-neg_binary64`
503×	`associate-+l+_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	61
1	61	49
2	195	49
3	837	49
4	4427	49
0	241	4847
1	550	4829
2	2670	4778
3	7807	4778
0	23	61
1	61	49
2	195	49
3	837	49
4	4427	49
0	241	4847
1	550	4829
2	2670	4778
3	7807	4778

Stop Event

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

Compiler

Compiled 3268 to 2232 computations (31.7% saved)

end275.0ms (0.7%)

Compiler: Compiled 934 to 459 computations (50.9% saved)