Metrics for quad2p (problem 3.2.1, positive)

analyze95.0ms (1.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
25%	25%	74.9%	0.1%	0%	0%	0%	4
37.5%	37.4%	62.4%	0.1%	0%	0%	0%	5
37.5%	37.4%	62.4%	0.1%	0%	0%	0%	6
42.6%	40.6%	54.6%	0.1%	0%	4.7%	0%	7
51.2%	48.4%	46%	0.1%	0%	5.5%	0%	8
54.5%	49.9%	41.7%	0.1%	0%	8.2%	0%	9
60.2%	53.4%	35.3%	0.1%	0%	11.1%	0%	10
67.6%	58.7%	28.2%	0.1%	0%	13%	0%	11
71.4%	60.6%	24.2%	0.1%	0%	15.1%	0%	12

Compiler

Compiled 17 to 11 computations (35.3% saved)

sample1.8s (20.9%)

Results

649.0ms	5122×	body	256	valid
426.0ms	1068×	body	2048	valid
202.0ms	1121×	body	256	invalid
200.0ms	720×	body	1024	valid
125.0ms	346×	body	4096	valid
78.0ms	692×	body	256	infinite
72.0ms	308×	body	512	valid

Bogosity

preprocess278.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

1964×	`fma-neg`
1710×	`div-sub`
1284×	`fma-def`
1204×	`times-frac`
878×	`sub-neg`

Problems

107×	No Errors
92×	`(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))`
46×	`(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))`
11×	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	52	456
1	116	420
2	232	420
3	603	420
4	1504	420
5	3695	416
6	6389	416
7	7346	416
8	7733	416
9	7815	416
10	7855	416

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 (neg.f64 a) c)))) (neg.f64 a))
(/.f64 (+.f64 (neg.f64 (neg.f64 b_2)) (sqrt.f64 (-.f64 (.f64 (neg.f64 b_2) (neg.f64 b_2)) (.f64 a c)))) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a (neg.f64 c))))) a)
(/.f64 (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 b_2 c)))) b_2)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) c)
(/.f64 (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (.f64 c c) (.f64 a b_2)))) a)

Outputs
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (neg.f64 c) (*.f64 b_2 b_2))) b_2) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (neg.f64 c) (*.f64 b_2 b_2))) b_2) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 (neg.f64 a) c)))) (neg.f64 a))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (+.f64 (.f64 b_2 b_2) (.f64 a c)))) (neg.f64 a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) b_2) (neg.f64 a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a c (*.f64 b_2 b_2))) b_2) (neg.f64 a))
(/.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 a c (*.f64 b_2 b_2)))) a)
(/.f64 (+.f64 (neg.f64 (neg.f64 b_2)) (sqrt.f64 (-.f64 (.f64 (neg.f64 b_2) (neg.f64 b_2)) (.f64 a c)))) a)
(/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
(/.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 a (neg.f64 c) (*.f64 b_2 b_2)))) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a (neg.f64 c))))) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (+.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) b_2) a)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a c (*.f64 b_2 b_2))) b_2) a)
(/.f64 (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 b_2 c)))) b_2)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b_2 c))) a) b_2)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (neg.f64 b_2) c (*.f64 a a))) a) b_2)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b_2 c)))) a) b_2)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) c)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) c)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) c)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (neg.f64 c) (*.f64 b_2 b_2))) b_2) c)
(/.f64 (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (.f64 c c) (.f64 a b_2)))) a)
(/.f64 (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (.f64 c c) (.f64 b_2 a)))) a)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 c c) (.f64 b_2 a))) c) a)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 (neg.f64 a) (*.f64 c c))) c) a)

Compiler

Compiled 70 to 21 computations (70% saved)

eval1.0ms (0%)

Compiler: Compiled 27 to 14 computations (48.1% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.7%	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
▶	54.7%	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)

Compiler

Compiled 30 to 18 computations (40% saved)

localize82.0ms (1%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
✓	100.0%	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	94.9%	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
✓	81.2%	(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)
✓	59.0%	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

Compiler

Compiled 50 to 10 computations (80% saved)

series15.0ms (0.2%)

Counts

4 → 96

Calls

36 calls:

Time	Variable		Point	Expression
1.0ms	b_2	@	0	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
1.0ms	c	@	0	(-.f64 (.f64 b_2 b_2) (.f64 a c))
1.0ms	b_2	@	inf	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
1.0ms	a	@	inf	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
1.0ms	a	@	inf	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

rewrite198.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1526×	`fma-def`
823×	`log1p-expm1-u`
823×	`expm1-log1p-u`
542×	`fma-neg`
388×	`expm1-udef`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	151
1	228	151
2	3326	145

Stop Event

1×	node limit

Counts

4 → 340

Calls

Call 1

Inputs
(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
(-.f64 (.f64 b_2 b_2) (.f64 a c))

Outputs
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))))) 1)
(.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) 1)
(.f64 1 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))))
(.f64 (cbrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))))
(.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a))))) (cbrt.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c))))
(.f64 (pow.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)) 1/4) (pow.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c)) 1/4))
(.f64 (pow.f64 1 1/2) (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c))) 1/2))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 4) (pow.f64 (.f64 a c) 2))) (hypot.f64 b_2 (sqrt.f64 (.f64 a c))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 6) (pow.f64 (.f64 a c) 3))) (sqrt.f64 (fma.f64 (.f64 a c) (fma.f64 a c (pow.f64 b_2 2)) (pow.f64 b_2 4))))
(pow.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c)) 1/2)
(pow.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) 1)
(pow.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))) 3)
(pow.f64 (pow.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c)) 3/2) 1/3)
(pow.f64 (pow.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c)) 1/4) 2)
(fabs.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))))
(log.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))))
(log.f64 (+.f64 1 (expm1.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))))))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c)) 3/2))
(expm1.f64 (log1p.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))))
(hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))
(hypot.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) (sqrt.f64 (fma.f64 a (neg.f64 c) (.f64 a c))))
(hypot.f64 (sqrt.f64 (fma.f64 a (neg.f64 c) (.f64 a c))) (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))))
(hypot.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2)
(exp.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))))
(exp.f64 (.f64 (log.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) 1/2))
(exp.f64 (.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a))))) 1))
(log1p.f64 (expm1.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))))
(+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) (neg.f64 b_2))
(+.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) (.f64 (neg.f64 b_2) 1))
(+.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2) (fma.f64 (neg.f64 b_2) 1 b_2))
(+.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2) (fma.f64 (neg.f64 (cbrt.f64 b_2)) (pow.f64 (cbrt.f64 b_2) 2) b_2))
(+.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2) (+.f64 (neg.f64 b_2) b_2))
(+.f64 (neg.f64 b_2) (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))))
(.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) b_2) 1)
(.f64 1 (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) b_2))
(.f64 (cbrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) b_2)) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2)) 2))
(.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) b_2)) 2) (cbrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2)))
(.f64 (sqrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) b_2)) (sqrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2)))
(.f64 (-.f64 (pow.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)) 3/2) (pow.f64 b_2 3)) (/.f64 1 (fma.f64 b_2 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a))))) (-.f64 (pow.f64 b_2 2) (.f64 a c)))))
(.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 a c (pow.f64 b_2 2))) (/.f64 1 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))))))
(.f64 (+.f64 (pow.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)) 1/4) (sqrt.f64 b_2)) (-.f64 (pow.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c)) 1/4) (sqrt.f64 b_2)))
(/.f64 1 (/.f64 (fma.f64 b_2 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a))))) (-.f64 (pow.f64 b_2 2) (.f64 a c))) (-.f64 (pow.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c)) 3/2) (pow.f64 b_2 3))))
(/.f64 1 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))) (-.f64 (pow.f64 b_2 2) (fma.f64 a c (pow.f64 b_2 2)))))
(/.f64 (-.f64 (pow.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)) 3/2) (pow.f64 b_2 3)) (fma.f64 b_2 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a))))) (-.f64 (pow.f64 b_2 2) (*.f64 a c))))
(/.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 a c (pow.f64 b_2 2))) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)) 3/2) (pow.f64 b_2 3))) (neg.f64 (fma.f64 b_2 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a))))) (-.f64 (pow.f64 b_2 2) (*.f64 a c)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 a c (pow.f64 b_2 2)))) (neg.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))))))
(/.f64 (+.f64 (pow.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)) 3/2) (pow.f64 (neg.f64 b_2) 3)) (+.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)) (-.f64 (.f64 (neg.f64 b_2) (neg.f64 b_2)) (.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) (neg.f64 b_2)))))
(/.f64 (-.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)) (.f64 (neg.f64 b_2) (neg.f64 b_2))) (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) (neg.f64 b_2)))
(pow.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2) 1)
(pow.f64 (cbrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2)) 3)
(pow.f64 (pow.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2)) 2)
(sqrt.f64 (pow.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2) 2))
(log.f64 (exp.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2))))
(log.f64 (.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a))))) (/.f64 1 (exp.f64 b_2))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))))) (/.f64 1 (exp.f64 b_2))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))))) (exp.f64 (neg.f64 b_2))))
(log.f64 (.f64 (/.f64 1 (exp.f64 b_2)) (exp.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))))))
(log.f64 (.f64 (/.f64 1 (exp.f64 b_2)) (+.f64 1 (expm1.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a))))))))
(log.f64 (.f64 (exp.f64 (neg.f64 b_2)) (exp.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))))))
(log.f64 (.f64 (exp.f64 (neg.f64 b_2)) (+.f64 1 (expm1.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a))))))))
(log.f64 (/.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))) (+.f64 1 (expm1.f64 b_2))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))))) (exp.f64 b_2)))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))))) (+.f64 1 (expm1.f64 b_2))))
(cbrt.f64 (pow.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2) 3))
(expm1.f64 (log1p.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2)))
(exp.f64 (log.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2)))
(exp.f64 (.f64 (log.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) b_2)) 1))
(log1p.f64 (expm1.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2)))
(fma.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) 1 (neg.f64 b_2))
(fma.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) 1 (.f64 (neg.f64 b_2) 1))
(fma.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2) 1 (fma.f64 (neg.f64 b_2) 1 b_2))
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(fma.f64 (pow.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)) 1/4) (.f64 (pow.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)) 1/4) (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a))))) (+.f64 (fma.f64 a (neg.f64 c) (.f64 a c)) (fma.f64 a (neg.f64 c) (.f64 a c))))
(fma.f64 (neg.f64 a) c (pow.f64 b_2 2))
(fma.f64 (-.f64 (pow.f64 b_2 6) (pow.f64 (.f64 a c) 3)) (/.f64 1 (fma.f64 (.f64 a c) (fma.f64 a c (pow.f64 b_2 2)) (pow.f64 b_2 4))) (fma.f64 a (neg.f64 c) (*.f64 a c)))
(fma.f64 (-.f64 (pow.f64 b_2 6) (pow.f64 (.f64 a c) 3)) (/.f64 1 (fma.f64 (.f64 a c) (fma.f64 a c (pow.f64 b_2 2)) (pow.f64 b_2 4))) (fma.f64 (.f64 c (neg.f64 a)) 1 (.f64 a c)))
(fma.f64 (-.f64 (pow.f64 b_2 6) (pow.f64 (.f64 a c) 3)) (/.f64 1 (fma.f64 (.f64 a c) (fma.f64 a c (pow.f64 b_2 2)) (pow.f64 b_2 4))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 a c))) (pow.f64 (cbrt.f64 (.f64 a c)) 2) (*.f64 a c)))
(fma.f64 (-.f64 (pow.f64 b_2 6) (pow.f64 (.f64 a c) 3)) (/.f64 1 (fma.f64 (.f64 a c) (fma.f64 a c (pow.f64 b_2 2)) (pow.f64 b_2 4))) (.f64 (fma.f64 a (neg.f64 c) (.f64 a c)) 1))
(fma.f64 (-.f64 (pow.f64 b_2 6) (pow.f64 (.f64 a c) 3)) (/.f64 1 (fma.f64 (.f64 a c) (fma.f64 a c (pow.f64 b_2 2)) (pow.f64 b_2 4))) (+.f64 (fma.f64 a (neg.f64 c) (.f64 a c)) (fma.f64 a (neg.f64 c) (.f64 a c))))
(fma.f64 (-.f64 (pow.f64 b_2 4) (pow.f64 (.f64 a c) 2)) (/.f64 1 (fma.f64 a c (pow.f64 b_2 2))) (fma.f64 a (neg.f64 c) (.f64 a c)))
(fma.f64 (-.f64 (pow.f64 b_2 4) (pow.f64 (.f64 a c) 2)) (/.f64 1 (fma.f64 a c (pow.f64 b_2 2))) (fma.f64 (.f64 c (neg.f64 a)) 1 (*.f64 a c)))
(fma.f64 (-.f64 (pow.f64 b_2 4) (pow.f64 (.f64 a c) 2)) (/.f64 1 (fma.f64 a c (pow.f64 b_2 2))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 a c))) (pow.f64 (cbrt.f64 (.f64 a c)) 2) (.f64 a c)))
(fma.f64 (-.f64 (pow.f64 b_2 4) (pow.f64 (.f64 a c) 2)) (/.f64 1 (fma.f64 a c (pow.f64 b_2 2))) (.f64 (fma.f64 a (neg.f64 c) (*.f64 a c)) 1))
(fma.f64 (-.f64 (pow.f64 b_2 4) (pow.f64 (.f64 a c) 2)) (/.f64 1 (fma.f64 a c (pow.f64 b_2 2))) (+.f64 (fma.f64 a (neg.f64 c) (.f64 a c)) (fma.f64 a (neg.f64 c) (*.f64 a c))))
(fma.f64 (neg.f64 (sqrt.f64 (.f64 a c))) (sqrt.f64 (.f64 a c)) (pow.f64 b_2 2))
(fma.f64 -1 (*.f64 a c) (pow.f64 b_2 2))
(fma.f64 (.f64 (cbrt.f64 (fma.f64 a (neg.f64 c) (.f64 a c))) (cbrt.f64 (fma.f64 a (neg.f64 c) (.f64 a c)))) (cbrt.f64 (fma.f64 a (neg.f64 c) (.f64 a c))) (-.f64 (pow.f64 b_2 2) (*.f64 a c)))
(fma.f64 (.f64 (cbrt.f64 (.f64 c (neg.f64 a))) (cbrt.f64 (.f64 c (neg.f64 a)))) (cbrt.f64 (.f64 c (neg.f64 a))) (pow.f64 b_2 2))
(fma.f64 (.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) (pow.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)) 1/4)) (pow.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)) 1/4) (fma.f64 a (neg.f64 c) (*.f64 a c)))
(fma.f64 (.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) (pow.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)) 1/4)) (pow.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)) 1/4) (fma.f64 (.f64 c (neg.f64 a)) 1 (.f64 a c)))
(fma.f64 (.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) (pow.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)) 1/4)) (pow.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)) 1/4) (fma.f64 (neg.f64 (cbrt.f64 (.f64 a c))) (pow.f64 (cbrt.f64 (.f64 a c)) 2) (*.f64 a c)))
(fma.f64 (.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) (pow.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)) 1/4)) (pow.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)) 1/4) (.f64 (fma.f64 a (neg.f64 c) (.f64 a c)) 1))
(fma.f64 (.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) (pow.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)) 1/4)) (pow.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)) 1/4) (+.f64 (fma.f64 a (neg.f64 c) (.f64 a c)) (fma.f64 a (neg.f64 c) (.f64 a c))))
(fma.f64 (.f64 b_2 (sqrt.f64 b_2)) (sqrt.f64 b_2) (.f64 c (neg.f64 a)))
(fma.f64 (.f64 b_2 (sqrt.f64 b_2)) (sqrt.f64 b_2) (.f64 (*.f64 c (neg.f64 a)) 1))
(fma.f64 (.f64 b_2 (sqrt.f64 b_2)) (sqrt.f64 b_2) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (.f64 a c))))
(fma.f64 (.f64 b_2 (sqrt.f64 b_2)) (sqrt.f64 b_2) (neg.f64 (-.f64 (.f64 a c) (fma.f64 a (neg.f64 c) (*.f64 a c)))))
(fma.f64 (sqrt.f64 (fma.f64 a (neg.f64 c) (.f64 a c))) (sqrt.f64 (fma.f64 a (neg.f64 c) (.f64 a c))) (-.f64 (pow.f64 b_2 2) (*.f64 a c)))
(fma.f64 (sqrt.f64 (.f64 c (neg.f64 a))) (sqrt.f64 (.f64 c (neg.f64 a))) (pow.f64 b_2 2))
(fma.f64 (+.f64 b_2 (sqrt.f64 (.f64 a c))) (-.f64 b_2 (sqrt.f64 (.f64 a c))) (fma.f64 a (neg.f64 c) (*.f64 a c)))
(fma.f64 (+.f64 b_2 (sqrt.f64 (.f64 a c))) (-.f64 b_2 (sqrt.f64 (.f64 a c))) (fma.f64 (.f64 c (neg.f64 a)) 1 (.f64 a c)))
(fma.f64 (+.f64 b_2 (sqrt.f64 (.f64 a c))) (-.f64 b_2 (sqrt.f64 (.f64 a c))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 a c))) (pow.f64 (cbrt.f64 (.f64 a c)) 2) (*.f64 a c)))
(fma.f64 (+.f64 b_2 (sqrt.f64 (.f64 a c))) (-.f64 b_2 (sqrt.f64 (.f64 a c))) (.f64 (fma.f64 a (neg.f64 c) (.f64 a c)) 1))
(fma.f64 (+.f64 b_2 (sqrt.f64 (.f64 a c))) (-.f64 b_2 (sqrt.f64 (.f64 a c))) (+.f64 (fma.f64 a (neg.f64 c) (.f64 a c)) (fma.f64 a (neg.f64 c) (.f64 a c))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 a c)) 2)) (cbrt.f64 (.f64 a c)) (pow.f64 b_2 2))
(fma.f64 (*.f64 (neg.f64 a) 1) c (pow.f64 b_2 2))
(fma.f64 (*.f64 (neg.f64 a) (pow.f64 (cbrt.f64 c) 2)) (cbrt.f64 c) (pow.f64 b_2 2))
(fma.f64 (*.f64 (neg.f64 a) (sqrt.f64 c)) (sqrt.f64 c) (pow.f64 b_2 2))
(fma.f64 (.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) (cbrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)))) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a))))) (fma.f64 a (neg.f64 c) (*.f64 a c)))
(fma.f64 (.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) (cbrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)))) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a))))) (fma.f64 (.f64 c (neg.f64 a)) 1 (.f64 a c)))
(fma.f64 (.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) (cbrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)))) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a))))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 a c))) (pow.f64 (cbrt.f64 (.f64 a c)) 2) (*.f64 a c)))
(fma.f64 (.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) (cbrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)))) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a))))) (.f64 (fma.f64 a (neg.f64 c) (.f64 a c)) 1))
(fma.f64 (.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) (cbrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)))) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a))))) (+.f64 (fma.f64 a (neg.f64 c) (.f64 a c)) (fma.f64 a (neg.f64 c) (.f64 a c))))
(fma.f64 (.f64 b_2 (pow.f64 (cbrt.f64 b_2) 2)) (cbrt.f64 b_2) (.f64 c (neg.f64 a)))
(fma.f64 (.f64 b_2 (pow.f64 (cbrt.f64 b_2) 2)) (cbrt.f64 b_2) (.f64 (*.f64 c (neg.f64 a)) 1))
(fma.f64 (.f64 b_2 (pow.f64 (cbrt.f64 b_2) 2)) (cbrt.f64 b_2) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (.f64 a c))))
(fma.f64 (.f64 b_2 (pow.f64 (cbrt.f64 b_2) 2)) (cbrt.f64 b_2) (neg.f64 (-.f64 (.f64 a c) (fma.f64 a (neg.f64 c) (*.f64 a c)))))

simplify292.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

1614×	`fma-neg`
918×	`fma-def`
722×	`associate-r`
620×	`associate-l`
590×	`log-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	769	28079
1	1915	26019
2	7109	25967

Stop Event

1×	node limit

Counts

436 → 550

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 -1))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 a c))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 -1)))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 a 3) (pow.f64 c 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 a c))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 -1))))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 a 3) (pow.f64 c 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 a 5) (pow.f64 c 5)))) (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 -1) 5)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 a c))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 -1)))))
b_2
(+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 a c) b_2)))
(+.f64 b_2 (+.f64 (.f64 -1/2 (/.f64 (.f64 a c) b_2)) (.f64 -1/8 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 c 2)) (pow.f64 b_2 3)))))
(+.f64 b_2 (+.f64 (.f64 -1/2 (/.f64 (.f64 a c) b_2)) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 c 2)) (pow.f64 b_2 3))) (.f64 -1/16 (/.f64 (.f64 (pow.f64 a 3) (pow.f64 c 3)) (pow.f64 b_2 5))))))
(*.f64 -1 b_2)
(+.f64 (.f64 -1 b_2) (.f64 1/2 (/.f64 (*.f64 a c) b_2)))
(+.f64 (.f64 -1 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 c 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 a c) b_2))))
(+.f64 (.f64 -1 b_2) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 a 3) (pow.f64 c 3)) (pow.f64 b_2 5))) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 c 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 a c) b_2)))))
b_2
(+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 a c) b_2)))
(+.f64 b_2 (+.f64 (.f64 -1/2 (/.f64 (.f64 a c) b_2)) (.f64 -1/8 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 c 2)) (pow.f64 b_2 3)))))
(+.f64 b_2 (+.f64 (.f64 -1/2 (/.f64 (.f64 a c) b_2)) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 c 2)) (pow.f64 b_2 3))) (.f64 -1/16 (/.f64 (.f64 (pow.f64 a 3) (pow.f64 c 3)) (pow.f64 b_2 5))))))
b_2
(+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 a c) b_2)))
(+.f64 b_2 (+.f64 (.f64 -1/2 (/.f64 (.f64 a c) b_2)) (.f64 -1/8 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 c 2)) (pow.f64 b_2 3)))))
(+.f64 b_2 (+.f64 (.f64 -1/2 (/.f64 (.f64 a c) b_2)) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 c 2)) (pow.f64 b_2 3))) (.f64 -1/16 (/.f64 (.f64 (pow.f64 a 3) (pow.f64 c 3)) (pow.f64 b_2 5))))))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 -1))
(+.f64 (.f64 -1 b_2) (.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 -1)))
(+.f64 (.f64 -1 b_2) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 a c))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 -1))))
(+.f64 (.f64 -1 b_2) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 a 3) (pow.f64 c 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 a c))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 -1)))))
(.f64 -1/2 (/.f64 (.f64 a c) b_2))
(+.f64 (.f64 -1/2 (/.f64 (.f64 a c) b_2)) (.f64 -1/8 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 c 2)) (pow.f64 b_2 3))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 a c) b_2)) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 c 2)) (pow.f64 b_2 3))) (.f64 -1/16 (/.f64 (.f64 (pow.f64 a 3) (pow.f64 c 3)) (pow.f64 b_2 5)))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 a c) b_2)) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 a 4) (pow.f64 c 4))) (pow.f64 (.f64 -1/8 (.f64 (pow.f64 a 2) (pow.f64 c 2))) 2)) (pow.f64 b_2 7))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 c 2)) (pow.f64 b_2 3))) (.f64 -1/16 (/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 3)) (pow.f64 b_2 5))))))
(*.f64 -2 b_2)
(+.f64 (.f64 -2 b_2) (.f64 1/2 (/.f64 (*.f64 a c) b_2)))
(+.f64 (.f64 -2 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 c 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 a c) b_2))))
(+.f64 (.f64 -2 b_2) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 a 3) (pow.f64 c 3)) (pow.f64 b_2 5))) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 c 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 a c) b_2)))))
(.f64 -1/2 (/.f64 (.f64 a c) b_2))
(+.f64 (.f64 -1/2 (/.f64 (.f64 a c) b_2)) (.f64 -1/8 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 c 2)) (pow.f64 b_2 3))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 a c) b_2)) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 c 2)) (pow.f64 b_2 3))) (.f64 -1/16 (/.f64 (.f64 (pow.f64 a 3) (pow.f64 c 3)) (pow.f64 b_2 5)))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 a c) b_2)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a 4) (+.f64 (.f64 1/16 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6))) (pow.f64 (.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 3))) 2))) b_2)) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 c 2)) (pow.f64 b_2 3))) (.f64 -1/16 (/.f64 (.f64 (pow.f64 a 3) (pow.f64 c 3)) (pow.f64 b_2 5))))))
(.f64 -1/2 (/.f64 (.f64 a c) b_2))
(+.f64 (.f64 -1/2 (/.f64 (.f64 a c) b_2)) (.f64 -1/8 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 c 2)) (pow.f64 b_2 3))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 a c) b_2)) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 c 2)) (pow.f64 b_2 3))) (.f64 -1/16 (/.f64 (.f64 (pow.f64 a 3) (pow.f64 c 3)) (pow.f64 b_2 5)))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 a c) b_2)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 4) (+.f64 (.f64 1/16 (/.f64 (pow.f64 a 4) (pow.f64 b_2 6))) (pow.f64 (.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 b_2 3))) 2))) b_2)) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 c 2)) (pow.f64 b_2 3))) (.f64 -1/16 (/.f64 (.f64 (pow.f64 a 3) (pow.f64 c 3)) (pow.f64 b_2 5))))))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))
(+.f64 (.f64 -1 (/.f64 b_2 a)) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)))
(+.f64 (.f64 -1 (/.f64 b_2 a)) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 a 3) c))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))))
(+.f64 (.f64 -1 (/.f64 b_2 a)) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 a 5) (pow.f64 c 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 a 3) c))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)))))
(*.f64 -1/2 (/.f64 c b_2))
(+.f64 (.f64 -1/2 (/.f64 c b_2)) (.f64 -1/8 (/.f64 (*.f64 a (pow.f64 c 2)) (pow.f64 b_2 3))))
(+.f64 (.f64 -1/2 (/.f64 c b_2)) (+.f64 (.f64 -1/8 (/.f64 (.f64 a (pow.f64 c 2)) (pow.f64 b_2 3))) (.f64 -1/16 (/.f64 (*.f64 (pow.f64 a 2) (pow.f64 c 3)) (pow.f64 b_2 5)))))
(+.f64 (.f64 -1/2 (/.f64 c b_2)) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 a 4) (pow.f64 c 4))) (pow.f64 (.f64 -1/8 (.f64 (pow.f64 a 2) (pow.f64 c 2))) 2)) (.f64 a (pow.f64 b_2 7)))) (+.f64 (.f64 -1/8 (/.f64 (.f64 a (pow.f64 c 2)) (pow.f64 b_2 3))) (.f64 -1/16 (/.f64 (*.f64 (pow.f64 a 2) (pow.f64 c 3)) (pow.f64 b_2 5))))))
(*.f64 -2 (/.f64 b_2 a))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (+.f64 (.f64 1/8 (/.f64 (.f64 a (pow.f64 c 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 c b_2))))
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(fma.f64 (.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) (pow.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)) 1/4)) (pow.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)) 1/4) (fma.f64 (.f64 c (neg.f64 a)) 1 (.f64 a c)))
(fma.f64 (.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) (pow.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)) 1/4)) (pow.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)) 1/4) (fma.f64 (neg.f64 (cbrt.f64 (.f64 a c))) (pow.f64 (cbrt.f64 (.f64 a c)) 2) (*.f64 a c)))
(fma.f64 (.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) (pow.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)) 1/4)) (pow.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)) 1/4) (.f64 (fma.f64 a (neg.f64 c) (.f64 a c)) 1))
(fma.f64 (.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) (pow.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)) 1/4)) (pow.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)) 1/4) (+.f64 (fma.f64 a (neg.f64 c) (.f64 a c)) (fma.f64 a (neg.f64 c) (.f64 a c))))
(fma.f64 (.f64 b_2 (sqrt.f64 b_2)) (sqrt.f64 b_2) (.f64 c (neg.f64 a)))
(fma.f64 (.f64 b_2 (sqrt.f64 b_2)) (sqrt.f64 b_2) (.f64 (*.f64 c (neg.f64 a)) 1))
(fma.f64 (.f64 b_2 (sqrt.f64 b_2)) (sqrt.f64 b_2) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (.f64 a c))))
(fma.f64 (.f64 b_2 (sqrt.f64 b_2)) (sqrt.f64 b_2) (neg.f64 (-.f64 (.f64 a c) (fma.f64 a (neg.f64 c) (*.f64 a c)))))
(fma.f64 (sqrt.f64 (fma.f64 a (neg.f64 c) (.f64 a c))) (sqrt.f64 (fma.f64 a (neg.f64 c) (.f64 a c))) (-.f64 (pow.f64 b_2 2) (*.f64 a c)))
(fma.f64 (sqrt.f64 (.f64 c (neg.f64 a))) (sqrt.f64 (.f64 c (neg.f64 a))) (pow.f64 b_2 2))
(fma.f64 (+.f64 b_2 (sqrt.f64 (.f64 a c))) (-.f64 b_2 (sqrt.f64 (.f64 a c))) (fma.f64 a (neg.f64 c) (*.f64 a c)))
(fma.f64 (+.f64 b_2 (sqrt.f64 (.f64 a c))) (-.f64 b_2 (sqrt.f64 (.f64 a c))) (fma.f64 (.f64 c (neg.f64 a)) 1 (.f64 a c)))
(fma.f64 (+.f64 b_2 (sqrt.f64 (.f64 a c))) (-.f64 b_2 (sqrt.f64 (.f64 a c))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 a c))) (pow.f64 (cbrt.f64 (.f64 a c)) 2) (*.f64 a c)))
(fma.f64 (+.f64 b_2 (sqrt.f64 (.f64 a c))) (-.f64 b_2 (sqrt.f64 (.f64 a c))) (.f64 (fma.f64 a (neg.f64 c) (.f64 a c)) 1))
(fma.f64 (+.f64 b_2 (sqrt.f64 (.f64 a c))) (-.f64 b_2 (sqrt.f64 (.f64 a c))) (+.f64 (fma.f64 a (neg.f64 c) (.f64 a c)) (fma.f64 a (neg.f64 c) (.f64 a c))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 a c)) 2)) (cbrt.f64 (.f64 a c)) (pow.f64 b_2 2))
(fma.f64 (*.f64 (neg.f64 a) 1) c (pow.f64 b_2 2))
(fma.f64 (*.f64 (neg.f64 a) (pow.f64 (cbrt.f64 c) 2)) (cbrt.f64 c) (pow.f64 b_2 2))
(fma.f64 (*.f64 (neg.f64 a) (sqrt.f64 c)) (sqrt.f64 c) (pow.f64 b_2 2))
(fma.f64 (.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) (cbrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)))) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a))))) (fma.f64 a (neg.f64 c) (*.f64 a c)))
(fma.f64 (.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) (cbrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)))) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a))))) (fma.f64 (.f64 c (neg.f64 a)) 1 (.f64 a c)))
(fma.f64 (.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) (cbrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)))) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a))))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 a c))) (pow.f64 (cbrt.f64 (.f64 a c)) 2) (*.f64 a c)))
(fma.f64 (.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) (cbrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)))) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a))))) (.f64 (fma.f64 a (neg.f64 c) (.f64 a c)) 1))
(fma.f64 (.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) (cbrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)))) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a))))) (+.f64 (fma.f64 a (neg.f64 c) (.f64 a c)) (fma.f64 a (neg.f64 c) (.f64 a c))))
(fma.f64 (.f64 b_2 (pow.f64 (cbrt.f64 b_2) 2)) (cbrt.f64 b_2) (.f64 c (neg.f64 a)))
(fma.f64 (.f64 b_2 (pow.f64 (cbrt.f64 b_2) 2)) (cbrt.f64 b_2) (.f64 (*.f64 c (neg.f64 a)) 1))
(fma.f64 (.f64 b_2 (pow.f64 (cbrt.f64 b_2) 2)) (cbrt.f64 b_2) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (.f64 a c))))
(fma.f64 (.f64 b_2 (pow.f64 (cbrt.f64 b_2) 2)) (cbrt.f64 b_2) (neg.f64 (-.f64 (.f64 a c) (fma.f64 a (neg.f64 c) (*.f64 a c)))))

Outputs
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 -1))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 a c))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 -1)))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 a c))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1))) (.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 -1)))
(fma.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 -1) (.f64 (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)) (*.f64 1/2 (sqrt.f64 (/.f64 (/.f64 1 a) c)))))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 a 3) (pow.f64 c 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 a c))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 -1))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 a c) 3))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 a c))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1))) (.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 -1))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 a c) 3))) (/.f64 (pow.f64 b_2 4) (.f64 -1 (sqrt.f64 -1)))) (fma.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 -1) (.f64 (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)) (.f64 1/2 (sqrt.f64 (/.f64 (/.f64 1 a) c))))))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 a 3) (pow.f64 c 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 a 5) (pow.f64 c 5)))) (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 -1) 5)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 a c))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 -1)))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 a c) 3))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3))) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 a 5) (pow.f64 c 5)))) (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 -1) 5))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 a c))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1))) (.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 -1)))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 a c) 3))) (/.f64 (pow.f64 b_2 4) (.f64 -1 (sqrt.f64 -1)))) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 a 5) (pow.f64 c 5)))) (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 -1) 5))) (fma.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 -1) (.f64 (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)) (.f64 1/2 (sqrt.f64 (/.f64 (/.f64 1 a) c)))))))
b_2
(+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 a c) b_2)))
(+.f64 b_2 (*.f64 -1/2 (/.f64 a (/.f64 b_2 c))))
(fma.f64 -1/2 (/.f64 c (/.f64 b_2 a)) b_2)
(+.f64 b_2 (+.f64 (.f64 -1/2 (/.f64 (.f64 a c) b_2)) (.f64 -1/8 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 c 2)) (pow.f64 b_2 3)))))
(+.f64 b_2 (fma.f64 -1/2 (/.f64 a (/.f64 b_2 c)) (.f64 -1/8 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 c 2)) (pow.f64 b_2 3)))))
(+.f64 b_2 (fma.f64 -1/8 (/.f64 (pow.f64 (.f64 a c) 2) (pow.f64 b_2 3)) (.f64 -1/2 (/.f64 c (/.f64 b_2 a)))))
(+.f64 b_2 (+.f64 (.f64 -1/2 (/.f64 (.f64 a c) b_2)) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 c 2)) (pow.f64 b_2 3))) (.f64 -1/16 (/.f64 (.f64 (pow.f64 a 3) (pow.f64 c 3)) (pow.f64 b_2 5))))))
(+.f64 b_2 (fma.f64 -1/2 (/.f64 a (/.f64 b_2 c)) (fma.f64 -1/8 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 c 2)) (pow.f64 b_2 3)) (.f64 -1/16 (/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b_2 5))))))
(+.f64 (fma.f64 -1/2 (/.f64 c (/.f64 b_2 a)) b_2) (fma.f64 -1/8 (/.f64 (pow.f64 (.f64 a c) 2) (pow.f64 b_2 3)) (/.f64 -1/16 (/.f64 (pow.f64 b_2 5) (pow.f64 (.f64 a c) 3)))))
(*.f64 -1 b_2)
(neg.f64 b_2)
(+.f64 (.f64 -1 b_2) (.f64 1/2 (/.f64 (*.f64 a c) b_2)))
(fma.f64 -1 b_2 (*.f64 1/2 (/.f64 a (/.f64 b_2 c))))
(fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) (neg.f64 b_2))
(+.f64 (.f64 -1 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 c 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 a c) b_2))))
(fma.f64 -1 b_2 (fma.f64 1/8 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 c 2)) (pow.f64 b_2 3)) (.f64 1/2 (/.f64 a (/.f64 b_2 c)))))
(-.f64 (fma.f64 (/.f64 (pow.f64 (.f64 a c) 2) (pow.f64 b_2 3)) 1/8 (.f64 1/2 (/.f64 c (/.f64 b_2 a)))) b_2)
(+.f64 (.f64 -1 b_2) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 a 3) (pow.f64 c 3)) (pow.f64 b_2 5))) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 c 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 a c) b_2)))))
(fma.f64 -1 b_2 (fma.f64 1/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b_2 5)) (fma.f64 1/8 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 c 2)) (pow.f64 b_2 3)) (*.f64 1/2 (/.f64 a (/.f64 b_2 c))))))
(-.f64 (fma.f64 1/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b_2 5)) (fma.f64 (/.f64 (pow.f64 (.f64 a c) 2) (pow.f64 b_2 3)) 1/8 (*.f64 1/2 (/.f64 c (/.f64 b_2 a))))) b_2)
b_2
(+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 a c) b_2)))
(+.f64 b_2 (*.f64 -1/2 (/.f64 a (/.f64 b_2 c))))
(fma.f64 -1/2 (/.f64 c (/.f64 b_2 a)) b_2)
(+.f64 b_2 (+.f64 (.f64 -1/2 (/.f64 (.f64 a c) b_2)) (.f64 -1/8 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 c 2)) (pow.f64 b_2 3)))))
(+.f64 b_2 (fma.f64 -1/2 (/.f64 a (/.f64 b_2 c)) (.f64 -1/8 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 c 2)) (pow.f64 b_2 3)))))
(+.f64 b_2 (fma.f64 -1/8 (/.f64 (pow.f64 (.f64 a c) 2) (pow.f64 b_2 3)) (.f64 -1/2 (/.f64 c (/.f64 b_2 a)))))
(+.f64 b_2 (+.f64 (.f64 -1/2 (/.f64 (.f64 a c) b_2)) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 c 2)) (pow.f64 b_2 3))) (.f64 -1/16 (/.f64 (.f64 (pow.f64 a 3) (pow.f64 c 3)) (pow.f64 b_2 5))))))
(+.f64 b_2 (fma.f64 -1/2 (/.f64 a (/.f64 b_2 c)) (fma.f64 -1/8 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 c 2)) (pow.f64 b_2 3)) (.f64 -1/16 (/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b_2 5))))))
(+.f64 (fma.f64 -1/2 (/.f64 c (/.f64 b_2 a)) b_2) (fma.f64 -1/8 (/.f64 (pow.f64 (.f64 a c) 2) (pow.f64 b_2 3)) (/.f64 -1/16 (/.f64 (pow.f64 b_2 5) (pow.f64 (.f64 a c) 3)))))
b_2
(+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 a c) b_2)))
(+.f64 b_2 (*.f64 -1/2 (/.f64 a (/.f64 b_2 c))))
(fma.f64 -1/2 (/.f64 c (/.f64 b_2 a)) b_2)
(+.f64 b_2 (+.f64 (.f64 -1/2 (/.f64 (.f64 a c) b_2)) (.f64 -1/8 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 c 2)) (pow.f64 b_2 3)))))
(+.f64 b_2 (fma.f64 -1/2 (/.f64 a (/.f64 b_2 c)) (.f64 -1/8 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 c 2)) (pow.f64 b_2 3)))))
(+.f64 b_2 (fma.f64 -1/8 (/.f64 (pow.f64 (.f64 a c) 2) (pow.f64 b_2 3)) (.f64 -1/2 (/.f64 c (/.f64 b_2 a)))))
(+.f64 b_2 (+.f64 (.f64 -1/2 (/.f64 (.f64 a c) b_2)) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 c 2)) (pow.f64 b_2 3))) (.f64 -1/16 (/.f64 (.f64 (pow.f64 a 3) (pow.f64 c 3)) (pow.f64 b_2 5))))))
(+.f64 b_2 (fma.f64 -1/2 (/.f64 a (/.f64 b_2 c)) (fma.f64 -1/8 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 c 2)) (pow.f64 b_2 3)) (.f64 -1/16 (/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b_2 5))))))
(+.f64 (fma.f64 -1/2 (/.f64 c (/.f64 b_2 a)) b_2) (fma.f64 -1/8 (/.f64 (pow.f64 (.f64 a c) 2) (pow.f64 b_2 3)) (/.f64 -1/16 (/.f64 (pow.f64 b_2 5) (pow.f64 (.f64 a c) 3)))))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 -1))
(+.f64 (.f64 -1 b_2) (.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 -1)))
(fma.f64 -1 b_2 (.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 -1)))
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 -1) (neg.f64 b_2))
(+.f64 (.f64 -1 b_2) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 a c))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 -1))))
(fma.f64 -1 b_2 (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 a c))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1))) (.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 -1))))
(-.f64 (fma.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 -1) (.f64 (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)) (*.f64 1/2 (sqrt.f64 (/.f64 (/.f64 1 a) c))))) b_2)
(+.f64 (.f64 -1 b_2) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 a 3) (pow.f64 c 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 a c))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 -1)))))
(fma.f64 -1 b_2 (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 a c) 3))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 a c))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1))) (.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 -1)))))
(-.f64 (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 a c) 3))) (/.f64 (pow.f64 b_2 4) (.f64 -1 (sqrt.f64 -1)))) (fma.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 -1) (.f64 (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)) (.f64 1/2 (sqrt.f64 (/.f64 (/.f64 1 a) c)))))) b_2)
(.f64 -1/2 (/.f64 (.f64 a c) b_2))
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 a c) b_2)) (.f64 -1/8 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 c 2)) (pow.f64 b_2 3))))
(fma.f64 -1/2 (/.f64 a (/.f64 b_2 c)) (.f64 -1/8 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 c 2)) (pow.f64 b_2 3))))
(fma.f64 -1/8 (/.f64 (pow.f64 (.f64 a c) 2) (pow.f64 b_2 3)) (.f64 -1/2 (/.f64 c (/.f64 b_2 a))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 a c) b_2)) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 c 2)) (pow.f64 b_2 3))) (.f64 -1/16 (/.f64 (.f64 (pow.f64 a 3) (pow.f64 c 3)) (pow.f64 b_2 5)))))
(fma.f64 -1/2 (/.f64 a (/.f64 b_2 c)) (fma.f64 -1/8 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 c 2)) (pow.f64 b_2 3)) (.f64 -1/16 (/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b_2 5)))))
(fma.f64 -1/2 (/.f64 c (/.f64 b_2 a)) (fma.f64 -1/8 (/.f64 (pow.f64 (.f64 a c) 2) (pow.f64 b_2 3)) (/.f64 -1/16 (/.f64 (pow.f64 b_2 5) (pow.f64 (.f64 a c) 3)))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 a c) b_2)) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 a 4) (pow.f64 c 4))) (pow.f64 (.f64 -1/8 (.f64 (pow.f64 a 2) (pow.f64 c 2))) 2)) (pow.f64 b_2 7))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 c 2)) (pow.f64 b_2 3))) (.f64 -1/16 (/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 3)) (pow.f64 b_2 5))))))
(fma.f64 -1/2 (/.f64 a (/.f64 b_2 c)) (fma.f64 -1/2 (/.f64 (fma.f64 1/16 (.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 (.f64 -1/8 (.f64 (pow.f64 a 2) (pow.f64 c 2))) 2)) (pow.f64 b_2 7)) (fma.f64 -1/8 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 c 2)) (pow.f64 b_2 3)) (.f64 -1/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b_2 5))))))
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(fma.f64 (cbrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) (.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))))) (fma.f64 a (neg.f64 c) (*.f64 a c)))
(fma.f64 (cbrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) (pow.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) 4) (.f64 0 (.f64 a c)))
(fma.f64 (.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) (cbrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)))) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a))))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 a c))) (pow.f64 (cbrt.f64 (.f64 a c)) 2) (*.f64 a c)))
(fma.f64 (cbrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) (.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 a c))) (pow.f64 (cbrt.f64 (.f64 a c)) 2) (*.f64 a c)))
(fma.f64 (cbrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) (pow.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) 4) (fma.f64 (neg.f64 (cbrt.f64 (.f64 a c))) (pow.f64 (cbrt.f64 (.f64 a c)) 2) (*.f64 a c)))
(fma.f64 (.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) (cbrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)))) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a))))) (.f64 (fma.f64 a (neg.f64 c) (.f64 a c)) 1))
(fma.f64 (cbrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) (.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))))) (fma.f64 a (neg.f64 c) (*.f64 a c)))
(fma.f64 (cbrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) (pow.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) 4) (.f64 0 (.f64 a c)))
(fma.f64 (.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) (cbrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)))) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a))))) (+.f64 (fma.f64 a (neg.f64 c) (.f64 a c)) (fma.f64 a (neg.f64 c) (.f64 a c))))
(fma.f64 (cbrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) (.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))))) (.f64 2 (fma.f64 a (neg.f64 c) (.f64 a c))))
(fma.f64 (cbrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) (pow.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) 4) (.f64 2 (.f64 0 (*.f64 a c))))
(fma.f64 (.f64 b_2 (pow.f64 (cbrt.f64 b_2) 2)) (cbrt.f64 b_2) (.f64 c (neg.f64 a)))
(fma.f64 (pow.f64 (cbrt.f64 b_2) 2) (.f64 b_2 (cbrt.f64 b_2)) (.f64 c (neg.f64 a)))
(-.f64 (.f64 (pow.f64 (cbrt.f64 b_2) 2) (.f64 b_2 (cbrt.f64 b_2))) (*.f64 a c))
(fma.f64 (.f64 b_2 (pow.f64 (cbrt.f64 b_2) 2)) (cbrt.f64 b_2) (.f64 (*.f64 c (neg.f64 a)) 1))
(fma.f64 (pow.f64 (cbrt.f64 b_2) 2) (.f64 b_2 (cbrt.f64 b_2)) (.f64 c (neg.f64 a)))
(-.f64 (.f64 (pow.f64 (cbrt.f64 b_2) 2) (.f64 b_2 (cbrt.f64 b_2))) (*.f64 a c))
(fma.f64 (.f64 b_2 (pow.f64 (cbrt.f64 b_2) 2)) (cbrt.f64 b_2) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (.f64 a c))))
(fma.f64 (pow.f64 (cbrt.f64 b_2) 2) (.f64 b_2 (cbrt.f64 b_2)) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (.f64 a c))))
(-.f64 (.f64 (pow.f64 (cbrt.f64 b_2) 2) (.f64 b_2 (cbrt.f64 b_2))) (fma.f64 a c (.f64 0 (.f64 a c))))
(fma.f64 (.f64 b_2 (pow.f64 (cbrt.f64 b_2) 2)) (cbrt.f64 b_2) (neg.f64 (-.f64 (.f64 a c) (fma.f64 a (neg.f64 c) (*.f64 a c)))))
(fma.f64 (pow.f64 (cbrt.f64 b_2) 2) (.f64 b_2 (cbrt.f64 b_2)) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (.f64 a c))))
(-.f64 (.f64 (pow.f64 (cbrt.f64 b_2) 2) (.f64 b_2 (cbrt.f64 b_2))) (fma.f64 a c (.f64 0 (.f64 a c))))

eval255.0ms (3%)

Compiler: Compiled 13677 to 5940 computations (56.6% saved)

prune139.0ms (1.6%)

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	530	20	550
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	530	21	551

Accuracy

90.0%

Counts

551 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	45.6%	(fma.f64 (cbrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) (/.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a))))) a) (/.f64 (neg.f64 b_2) a))
	53.5%	(pow.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2)) -1)
	53.0%	(pow.f64 (cbrt.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2) a)) 3)
	38.5%	(/.f64 (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) (*.f64 b_2 -2)) a)
	52.9%	(/.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) b_2) (cbrt.f64 a)) (pow.f64 (cbrt.f64 a) 2))
	23.9%	(/.f64 (/.f64 (-.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)) (.f64 (neg.f64 b_2) (neg.f64 b_2))) (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) (neg.f64 b_2))) a)
▶	53.8%	(/.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c)) 1/4) 2) b_2) a)
✓	54.7%	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
▶	54.4%	(/.f64 (-.f64 (sqrt.f64 (+.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)) (.f64 2 (fma.f64 a (neg.f64 c) (*.f64 a c))))) b_2) a)
	36.3%	(/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)
	50.4%	(/.f64 (-.f64 (exp.f64 (.f64 (log.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) 1/2)) b_2) a)
	44.5%	(/.f64 (-.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c)) 3/2)) b_2) a)
	32.1%	(/.f64 (*.f64 c -1/2) b_2)
▶	38.8%	(/.f64 (*.f64 b_2 -2) a)
▶	25.2%	(/.f64 (.f64 -1/2 (/.f64 (.f64 a c) b_2)) a)
	24.4%	(/.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) a)
	27.1%	(/.f64 (*.f64 -1/2 (/.f64 a (/.f64 b_2 c))) a)
	48.9%	(-.f64 (/.f64 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (cbrt.f64 a)) (/.f64 b_2 a))
	38.6%	(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
▶	53.5%	(.f64 (/.f64 1 a) (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) b_2))
	25.1%	(exp.f64 (log.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2) a)))
	45.6%	(fma.f64 (cbrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) (/.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a))))) a) (/.f64 (neg.f64 b_2) a))
	53.5%	(pow.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2)) -1)
	53.0%	(pow.f64 (cbrt.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2) a)) 3)
	38.5%	(/.f64 (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) (*.f64 b_2 -2)) a)
	52.9%	(/.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) b_2) (cbrt.f64 a)) (pow.f64 (cbrt.f64 a) 2))
	23.9%	(/.f64 (/.f64 (-.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)) (.f64 (neg.f64 b_2) (neg.f64 b_2))) (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) (neg.f64 b_2))) a)
▶	53.8%	(/.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c)) 1/4) 2) b_2) a)
✓	54.7%	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
▶	54.4%	(/.f64 (-.f64 (sqrt.f64 (+.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)) (.f64 2 (fma.f64 a (neg.f64 c) (*.f64 a c))))) b_2) a)
	36.3%	(/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)
	50.4%	(/.f64 (-.f64 (exp.f64 (.f64 (log.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) 1/2)) b_2) a)
	44.5%	(/.f64 (-.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c)) 3/2)) b_2) a)
	32.1%	(/.f64 (*.f64 c -1/2) b_2)
▶	38.8%	(/.f64 (*.f64 b_2 -2) a)
▶	25.2%	(/.f64 (.f64 -1/2 (/.f64 (.f64 a c) b_2)) a)
	24.4%	(/.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) a)
	27.1%	(/.f64 (*.f64 -1/2 (/.f64 a (/.f64 b_2 c))) a)
	48.9%	(-.f64 (/.f64 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (cbrt.f64 a)) (/.f64 b_2 a))
	38.6%	(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
▶	53.5%	(.f64 (/.f64 1 a) (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) b_2))
	25.1%	(exp.f64 (log.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2) a)))

Compiler

Compiled 1370 to 918 computations (33% saved)

localize308.0ms (3.6%)

Localize:

Found 15 expressions with local error:

New	Accuracy	Program
✓	99.5%	(pow.f64 (pow.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c)) 1/4) 2)
✓	97.7%	(/.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c)) 1/4) 2) b_2) a)
✓	90.4%	(-.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c)) 1/4) 2) b_2)
✓	73.0%	(pow.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c)) 1/4)
✓	100.0%	(hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))
✓	97.6%	(.f64 (/.f64 1 a) (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) b_2))
✓	90.4%	(-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2)
✓	82.3%	(sqrt.f64 (*.f64 c (neg.f64 a)))
✓	100.0%	(.f64 -1/2 (/.f64 (.f64 a c) b_2))
✓	92.4%	(/.f64 (*.f64 a c) b_2)
✓	88.5%	(/.f64 (.f64 -1/2 (/.f64 (.f64 a c) b_2)) a)
✓	97.7%	(/.f64 (-.f64 (sqrt.f64 (+.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)) (.f64 2 (fma.f64 a (neg.f64 c) (*.f64 a c))))) b_2) a)
✓	90.4%	(-.f64 (sqrt.f64 (+.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)) (.f64 2 (fma.f64 a (neg.f64 c) (*.f64 a c))))) b_2)
✓	73.6%	(sqrt.f64 (+.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)) (.f64 2 (fma.f64 a (neg.f64 c) (*.f64 a c)))))
✓	43.7%	(fma.f64 a (neg.f64 c) (*.f64 a c))

Compiler

Compiled 268 to 105 computations (60.8% saved)

series118.0ms (1.4%)

Counts

15 → 302

Calls

129 calls:

Time	Variable		Point	Expression
7.0ms	a	@	-inf	(.f64 (/.f64 1 a) (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) b_2))
5.0ms	c	@	-inf	(-.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c)) 1/4) 2) b_2)
5.0ms	a	@	inf	(/.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c)) 1/4) 2) b_2) a)
3.0ms	a	@	0	(-.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c)) 1/4) 2) b_2)
3.0ms	b_2	@	inf	(-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2)

rewrite134.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

298×	`log1p-expm1-u`
298×	`expm1-log1p-u`
290×	`times-frac`
281×	`add-cube-cbrt`
279×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	39	656
1	658	593

Stop Event

1×	node limit

Counts

15 → 421

Calls

Call 1

Inputs
(fma.f64 a (neg.f64 c) (*.f64 a c))
(sqrt.f64 (+.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)) (.f64 2 (fma.f64 a (neg.f64 c) (*.f64 a c)))))
(-.f64 (sqrt.f64 (+.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)) (.f64 2 (fma.f64 a (neg.f64 c) (*.f64 a c))))) b_2)
(/.f64 (-.f64 (sqrt.f64 (+.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)) (.f64 2 (fma.f64 a (neg.f64 c) (*.f64 a c))))) b_2) a)
(/.f64 (.f64 -1/2 (/.f64 (.f64 a c) b_2)) a)
(/.f64 (*.f64 a c) b_2)
(.f64 -1/2 (/.f64 (.f64 a c) b_2))
(sqrt.f64 (*.f64 c (neg.f64 a)))
(-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2)
(.f64 (/.f64 1 a) (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) b_2))
(hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))
(pow.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c)) 1/4)
(-.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c)) 1/4) 2) b_2)
(/.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c)) 1/4) 2) b_2) a)
(pow.f64 (pow.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c)) 1/4) 2)

Outputs
(+.f64 (.f64 a c) (.f64 a c))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 a c (*.f64 a c)))) 1)
(.f64 1 (fma.f64 a c (.f64 a c)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 a c (.f64 a c))) 2) (cbrt.f64 (fma.f64 a c (*.f64 a c))))
(.f64 (sqrt.f64 (fma.f64 a c (.f64 a c))) (sqrt.f64 (fma.f64 a c (*.f64 a c))))
(/.f64 (+.f64 (pow.f64 (.f64 a c) 3) (pow.f64 (.f64 a c) 3)) (+.f64 (pow.f64 (.f64 a c) 2) (-.f64 (pow.f64 (.f64 a c) 2) (pow.f64 (*.f64 a c) 2))))
(/.f64 (-.f64 (pow.f64 (.f64 a c) 2) (pow.f64 (.f64 a c) 2)) (-.f64 (.f64 a c) (.f64 a c)))
(pow.f64 (fma.f64 a c (*.f64 a c)) 1)
(pow.f64 (cbrt.f64 (fma.f64 a c (*.f64 a c))) 3)
(pow.f64 (pow.f64 (fma.f64 a c (*.f64 a c)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 a c (*.f64 a c))) 2)
(sqrt.f64 (pow.f64 (fma.f64 a c (*.f64 a c)) 2))
(log.f64 (exp.f64 (fma.f64 a c (*.f64 a c))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 a c (*.f64 a c)))))
(cbrt.f64 (pow.f64 (fma.f64 a c (*.f64 a c)) 3))
(expm1.f64 (log1p.f64 (fma.f64 a c (*.f64 a c))))
(exp.f64 (log.f64 (fma.f64 a c (*.f64 a c))))
(exp.f64 (.f64 (log.f64 (fma.f64 a c (.f64 a c))) 1))
(log1p.f64 (expm1.f64 (fma.f64 a c (*.f64 a c))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 (fma.f64 a c (.f64 a c)) 2 (fma.f64 b_2 b_2 (.f64 a c)))))) 1)
(.f64 1 (sqrt.f64 (fma.f64 (fma.f64 a c (.f64 a c)) 2 (fma.f64 b_2 b_2 (*.f64 a c)))))
(.f64 (cbrt.f64 (fma.f64 (fma.f64 a c (.f64 a c)) 2 (fma.f64 b_2 b_2 (.f64 a c)))) (cbrt.f64 (sqrt.f64 (fma.f64 (fma.f64 a c (.f64 a c)) 2 (fma.f64 b_2 b_2 (*.f64 a c))))))
(.f64 (pow.f64 (fma.f64 (fma.f64 a c (.f64 a c)) 2 (fma.f64 b_2 b_2 (.f64 a c))) 1/4) (pow.f64 (fma.f64 (fma.f64 a c (.f64 a c)) 2 (fma.f64 b_2 b_2 (*.f64 a c))) 1/4))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 (fma.f64 a c (.f64 a c)) 2 (fma.f64 b_2 b_2 (*.f64 a c)))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 (fma.f64 a c (.f64 a c)) 2 (fma.f64 b_2 b_2 (.f64 a c)))) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 (fma.f64 a c (.f64 a c)) 2 (fma.f64 b_2 b_2 (*.f64 a c)))) 1/2))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (fma.f64 a c (.f64 a c)) 2 (fma.f64 b_2 b_2 (.f64 a c)))) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 (fma.f64 a c (.f64 a c)) 2 (fma.f64 b_2 b_2 (*.f64 a c))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (fma.f64 b_2 b_2 (.f64 a c)) 2) (pow.f64 (.f64 (fma.f64 a c (.f64 a c)) 2) 2))) (sqrt.f64 (-.f64 (fma.f64 b_2 b_2 (.f64 a c)) (.f64 (fma.f64 a c (.f64 a c)) 2))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 b_2 b_2 (.f64 a c)) 3) (.f64 (pow.f64 (fma.f64 a c (.f64 a c)) 3) 8))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 b_2 b_2 (.f64 a c)) 2) (-.f64 (pow.f64 (.f64 (fma.f64 a c (.f64 a c)) 2) 2) (.f64 (fma.f64 b_2 b_2 (.f64 a c)) (.f64 (fma.f64 a c (.f64 a c)) 2))))))
(pow.f64 (fma.f64 (fma.f64 a c (.f64 a c)) 2 (fma.f64 b_2 b_2 (.f64 a c))) 1/2)
(pow.f64 (sqrt.f64 (fma.f64 (fma.f64 a c (.f64 a c)) 2 (fma.f64 b_2 b_2 (.f64 a c)))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (fma.f64 a c (.f64 a c)) 2 (fma.f64 b_2 b_2 (.f64 a c))))) 3)
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(exp.f64 (.f64 (log.f64 (fma.f64 b_2 b_2 (.f64 a c))) 1/2))
(exp.f64 (.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c)))) 1))
(log1p.f64 (expm1.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))

simplify283.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

964×	`*-commutative`
778×	`+-commutative`
590×	`fma-def`
572×	`sqr-pow`
438×	`associate-*r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1764	26797
1	5557	26797

Stop Event

1×	node limit

Counts

723 → 574

Calls

Call 1

Inputs
(.f64 a (+.f64 c (.f64 -1 c)))
(.f64 a (+.f64 c (.f64 -1 c)))
(.f64 a (+.f64 c (.f64 -1 c)))
(.f64 a (+.f64 c (.f64 -1 c)))
(.f64 a (+.f64 c (.f64 -1 c)))
(.f64 a (+.f64 c (.f64 -1 c)))
(.f64 a (+.f64 c (.f64 -1 c)))
(.f64 a (+.f64 c (.f64 -1 c)))
(.f64 -1 (.f64 a (+.f64 c (*.f64 -1 c))))
(.f64 -1 (.f64 a (+.f64 c (*.f64 -1 c))))
(.f64 -1 (.f64 a (+.f64 c (*.f64 -1 c))))
(.f64 -1 (.f64 a (+.f64 c (*.f64 -1 c))))
(.f64 c (+.f64 a (.f64 -1 a)))
(.f64 c (+.f64 a (.f64 -1 a)))
(.f64 c (+.f64 a (.f64 -1 a)))
(.f64 c (+.f64 a (.f64 -1 a)))
(.f64 c (+.f64 a (.f64 -1 a)))
(.f64 c (+.f64 a (.f64 -1 a)))
(.f64 c (+.f64 a (.f64 -1 a)))
(.f64 c (+.f64 a (.f64 -1 a)))
(.f64 -1 (.f64 c (+.f64 a (*.f64 -1 a))))
(.f64 -1 (.f64 c (+.f64 a (*.f64 -1 a))))
(.f64 -1 (.f64 c (+.f64 a (*.f64 -1 a))))
(.f64 -1 (.f64 c (+.f64 a (*.f64 -1 a))))
(sqrt.f64 (-.f64 (.f64 2 (+.f64 (.f64 -1 (.f64 a c)) (.f64 a c))) (*.f64 a c)))
(+.f64 (sqrt.f64 (-.f64 (.f64 2 (+.f64 (.f64 -1 (.f64 a c)) (.f64 a c))) (.f64 a c))) (.f64 1/2 (.f64 (pow.f64 b_2 2) (sqrt.f64 (/.f64 1 (-.f64 (.f64 2 (+.f64 (.f64 -1 (.f64 a c)) (.f64 a c))) (.f64 a c)))))))
(+.f64 (sqrt.f64 (-.f64 (.f64 2 (+.f64 (.f64 -1 (.f64 a c)) (.f64 a c))) (.f64 a c))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 b_2 4) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 2 (+.f64 (.f64 -1 (.f64 a c)) (.f64 a c))) (.f64 a c)) 3))))) (.f64 1/2 (.f64 (pow.f64 b_2 2) (sqrt.f64 (/.f64 1 (-.f64 (.f64 2 (+.f64 (.f64 -1 (.f64 a c)) (.f64 a c))) (*.f64 a c))))))))
(+.f64 (sqrt.f64 (-.f64 (.f64 2 (+.f64 (.f64 -1 (.f64 a c)) (.f64 a c))) (.f64 a c))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 b_2 4) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 2 (+.f64 (.f64 -1 (.f64 a c)) (.f64 a c))) (.f64 a c)) 3))))) (+.f64 (.f64 1/16 (.f64 (pow.f64 b_2 6) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 2 (+.f64 (.f64 -1 (.f64 a c)) (.f64 a c))) (.f64 a c)) 5))))) (.f64 1/2 (.f64 (pow.f64 b_2 2) (sqrt.f64 (/.f64 1 (-.f64 (.f64 2 (+.f64 (.f64 -1 (.f64 a c)) (.f64 a c))) (.f64 a c)))))))))
b_2
(+.f64 b_2 (.f64 1/2 (/.f64 (-.f64 (.f64 2 (+.f64 (.f64 -1 (.f64 a c)) (.f64 a c))) (.f64 a c)) b_2)))
(+.f64 b_2 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (-.f64 (.f64 2 (+.f64 (.f64 -1 (.f64 a c)) (.f64 a c))) (.f64 a c)) 2) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (-.f64 (.f64 2 (+.f64 (.f64 -1 (.f64 a c)) (.f64 a c))) (.f64 a c)) b_2))))
(+.f64 b_2 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (-.f64 (.f64 2 (+.f64 (.f64 -1 (.f64 a c)) (.f64 a c))) (.f64 a c)) 2) (pow.f64 b_2 3))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 (-.f64 (.f64 2 (+.f64 (.f64 -1 (.f64 a c)) (.f64 a c))) (.f64 a c)) 3) (pow.f64 b_2 5))) (.f64 1/2 (/.f64 (-.f64 (.f64 2 (+.f64 (.f64 -1 (.f64 a c)) (.f64 a c))) (.f64 a c)) b_2)))))
(*.f64 -1 b_2)
(+.f64 (.f64 -1 b_2) (.f64 -1/2 (/.f64 (-.f64 (.f64 2 (+.f64 (.f64 -1 (.f64 a c)) (.f64 a c))) (*.f64 a c)) b_2)))
(+.f64 (.f64 -1 b_2) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (.f64 2 (+.f64 (.f64 -1 (.f64 a c)) (.f64 a c))) (.f64 a c)) b_2)) (.f64 1/8 (/.f64 (pow.f64 (-.f64 (.f64 2 (+.f64 (.f64 -1 (.f64 a c)) (.f64 a c))) (*.f64 a c)) 2) (pow.f64 b_2 3)))))
(+.f64 (.f64 -1 b_2) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (.f64 2 (+.f64 (.f64 -1 (.f64 a c)) (.f64 a c))) (.f64 a c)) b_2)) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 (-.f64 (.f64 2 (+.f64 (.f64 -1 (.f64 a c)) (.f64 a c))) (.f64 a c)) 3) (pow.f64 b_2 5))) (.f64 1/8 (/.f64 (pow.f64 (-.f64 (.f64 2 (+.f64 (.f64 -1 (.f64 a c)) (.f64 a c))) (*.f64 a c)) 2) (pow.f64 b_2 3))))))
b_2
(+.f64 b_2 (.f64 1/2 (/.f64 (.f64 a (-.f64 (.f64 2 (+.f64 c (.f64 -1 c))) c)) b_2)))
(+.f64 b_2 (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 (-.f64 (.f64 2 (+.f64 c (.f64 -1 c))) c) 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (.f64 a (-.f64 (.f64 2 (+.f64 c (.f64 -1 c))) c)) b_2))))
(+.f64 b_2 (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 (-.f64 (.f64 2 (+.f64 c (.f64 -1 c))) c) 2)) (pow.f64 b_2 3))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 a 3) (pow.f64 (-.f64 (.f64 2 (+.f64 c (.f64 -1 c))) c) 3)) (pow.f64 b_2 5))) (.f64 1/2 (/.f64 (.f64 a (-.f64 (.f64 2 (+.f64 c (.f64 -1 c))) c)) b_2)))))
b_2
(+.f64 b_2 (.f64 1/2 (/.f64 (.f64 c (-.f64 (.f64 2 (+.f64 a (.f64 -1 a))) a)) b_2)))
(+.f64 b_2 (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 (-.f64 (.f64 2 (+.f64 a (.f64 -1 a))) a) 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (.f64 c (-.f64 (.f64 2 (+.f64 a (.f64 -1 a))) a)) b_2))))
(+.f64 b_2 (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 (-.f64 (.f64 2 (+.f64 a (.f64 -1 a))) a) 2)) (pow.f64 b_2 3))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 (-.f64 (.f64 2 (+.f64 a (.f64 -1 a))) a) 3)) (pow.f64 b_2 5))) (.f64 1/2 (/.f64 (.f64 c (-.f64 (.f64 2 (+.f64 a (.f64 -1 a))) a)) b_2)))))
(sqrt.f64 (-.f64 (.f64 2 (+.f64 (.f64 -1 (.f64 a c)) (.f64 a c))) (*.f64 a c)))
(+.f64 (sqrt.f64 (-.f64 (.f64 2 (+.f64 (.f64 -1 (.f64 a c)) (.f64 a c))) (.f64 a c))) (.f64 -1 b_2))
(+.f64 (sqrt.f64 (-.f64 (.f64 2 (+.f64 (.f64 -1 (.f64 a c)) (.f64 a c))) (.f64 a c))) (+.f64 (.f64 -1 b_2) (.f64 1/2 (.f64 (pow.f64 b_2 2) (sqrt.f64 (/.f64 1 (-.f64 (.f64 2 (+.f64 (.f64 -1 (.f64 a c)) (.f64 a c))) (*.f64 a c))))))))
(+.f64 (sqrt.f64 (-.f64 (.f64 2 (+.f64 (.f64 -1 (.f64 a c)) (.f64 a c))) (.f64 a c))) (+.f64 (.f64 -1 b_2) (+.f64 (.f64 -1/8 (.f64 (pow.f64 b_2 4) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 2 (+.f64 (.f64 -1 (.f64 a c)) (.f64 a c))) (.f64 a c)) 3))))) (.f64 1/2 (.f64 (pow.f64 b_2 2) (sqrt.f64 (/.f64 1 (-.f64 (.f64 2 (+.f64 (.f64 -1 (.f64 a c)) (.f64 a c))) (.f64 a c)))))))))
(.f64 1/2 (/.f64 (-.f64 (.f64 2 (+.f64 (.f64 -1 (.f64 a c)) (.f64 a c))) (.f64 a c)) b_2))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 (-.f64 (.f64 2 (+.f64 (.f64 -1 (.f64 a c)) (.f64 a c))) (.f64 a c)) 2) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (-.f64 (.f64 2 (+.f64 (.f64 -1 (.f64 a c)) (.f64 a c))) (.f64 a c)) b_2)))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 (-.f64 (.f64 2 (+.f64 (.f64 -1 (.f64 a c)) (.f64 a c))) (.f64 a c)) 2) (pow.f64 b_2 3))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 (-.f64 (.f64 2 (+.f64 (.f64 -1 (.f64 a c)) (.f64 a c))) (.f64 a c)) 3) (pow.f64 b_2 5))) (.f64 1/2 (/.f64 (-.f64 (.f64 2 (+.f64 (.f64 -1 (.f64 a c)) (.f64 a c))) (.f64 a c)) b_2))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 1/16 (pow.f64 (-.f64 (.f64 2 (+.f64 (.f64 -1 (.f64 a c)) (.f64 a c))) (.f64 a c)) 4)) (pow.f64 (.f64 -1/8 (pow.f64 (-.f64 (.f64 2 (+.f64 (.f64 -1 (.f64 a c)) (.f64 a c))) (.f64 a c)) 2)) 2)) (pow.f64 b_2 7))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (-.f64 (.f64 2 (+.f64 (.f64 -1 (.f64 a c)) (.f64 a c))) (.f64 a c)) 2) (pow.f64 b_2 3))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 (-.f64 (.f64 2 (+.f64 (.f64 -1 (.f64 a c)) (.f64 a c))) (.f64 a c)) 3) (pow.f64 b_2 5))) (.f64 1/2 (/.f64 (-.f64 (.f64 2 (+.f64 (.f64 -1 (.f64 a c)) (.f64 a c))) (*.f64 a c)) b_2)))))
(*.f64 -2 b_2)
(+.f64 (.f64 -2 b_2) (.f64 -1/2 (/.f64 (-.f64 (.f64 2 (+.f64 (.f64 -1 (.f64 a c)) (.f64 a c))) (*.f64 a c)) b_2)))
(+.f64 (.f64 -2 b_2) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (.f64 2 (+.f64 (.f64 -1 (.f64 a c)) (.f64 a c))) (.f64 a c)) b_2)) (.f64 1/8 (/.f64 (pow.f64 (-.f64 (.f64 2 (+.f64 (.f64 -1 (.f64 a c)) (.f64 a c))) (*.f64 a c)) 2) (pow.f64 b_2 3)))))
(+.f64 (.f64 -2 b_2) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (.f64 2 (+.f64 (.f64 -1 (.f64 a c)) (.f64 a c))) (.f64 a c)) b_2)) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 (-.f64 (.f64 2 (+.f64 (.f64 -1 (.f64 a c)) (.f64 a c))) (.f64 a c)) 3) (pow.f64 b_2 5))) (.f64 1/8 (/.f64 (pow.f64 (-.f64 (.f64 2 (+.f64 (.f64 -1 (.f64 a c)) (.f64 a c))) (*.f64 a c)) 2) (pow.f64 b_2 3))))))
(.f64 1/2 (/.f64 (.f64 a (-.f64 (.f64 2 (+.f64 c (.f64 -1 c))) c)) b_2))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 (-.f64 (.f64 2 (+.f64 c (.f64 -1 c))) c) 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (.f64 a (-.f64 (.f64 2 (+.f64 c (.f64 -1 c))) c)) b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 (-.f64 (.f64 2 (+.f64 c (.f64 -1 c))) c) 2)) (pow.f64 b_2 3))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 a 3) (pow.f64 (-.f64 (.f64 2 (+.f64 c (.f64 -1 c))) c) 3)) (pow.f64 b_2 5))) (.f64 1/2 (/.f64 (.f64 a (-.f64 (.f64 2 (+.f64 c (.f64 -1 c))) c)) b_2))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a 4) (+.f64 (.f64 1/16 (/.f64 (pow.f64 (-.f64 (.f64 2 (+.f64 c (.f64 -1 c))) c) 4) (pow.f64 b_2 6))) (pow.f64 (.f64 -1/8 (/.f64 (pow.f64 (-.f64 (.f64 2 (+.f64 c (.f64 -1 c))) c) 2) (pow.f64 b_2 3))) 2))) b_2)) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 (-.f64 (.f64 2 (+.f64 c (.f64 -1 c))) c) 2)) (pow.f64 b_2 3))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 a 3) (pow.f64 (-.f64 (.f64 2 (+.f64 c (.f64 -1 c))) c) 3)) (pow.f64 b_2 5))) (.f64 1/2 (/.f64 (.f64 a (-.f64 (.f64 2 (+.f64 c (.f64 -1 c))) c)) b_2)))))
(.f64 1/2 (/.f64 (.f64 c (-.f64 (.f64 2 (+.f64 a (.f64 -1 a))) a)) b_2))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 (-.f64 (.f64 2 (+.f64 a (.f64 -1 a))) a) 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (.f64 c (-.f64 (.f64 2 (+.f64 a (.f64 -1 a))) a)) b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 (-.f64 (.f64 2 (+.f64 a (.f64 -1 a))) a) 2)) (pow.f64 b_2 3))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 (-.f64 (.f64 2 (+.f64 a (.f64 -1 a))) a) 3)) (pow.f64 b_2 5))) (.f64 1/2 (/.f64 (.f64 c (-.f64 (.f64 2 (+.f64 a (.f64 -1 a))) a)) b_2))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 4) (+.f64 (.f64 1/16 (/.f64 (pow.f64 (-.f64 (.f64 2 (+.f64 a (.f64 -1 a))) a) 4) (pow.f64 b_2 6))) (pow.f64 (.f64 -1/8 (/.f64 (pow.f64 (-.f64 (.f64 2 (+.f64 a (.f64 -1 a))) a) 2) (pow.f64 b_2 3))) 2))) b_2)) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 (-.f64 (.f64 2 (+.f64 a (.f64 -1 a))) a) 2)) (pow.f64 b_2 3))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 (-.f64 (.f64 2 (+.f64 a (.f64 -1 a))) a) 3)) (pow.f64 b_2 5))) (.f64 1/2 (/.f64 (.f64 c (-.f64 (.f64 2 (+.f64 a (.f64 -1 a))) a)) b_2)))))
(.f64 (/.f64 1 a) (sqrt.f64 (-.f64 (.f64 2 (+.f64 (.f64 -1 (.f64 a c)) (.f64 a c))) (.f64 a c))))
(+.f64 (.f64 -1 (/.f64 b_2 a)) (.f64 (/.f64 1 a) (sqrt.f64 (-.f64 (.f64 2 (+.f64 (.f64 -1 (.f64 a c)) (.f64 a c))) (*.f64 a c)))))
(+.f64 (.f64 -1 (/.f64 b_2 a)) (+.f64 (.f64 1/2 (.f64 (/.f64 (pow.f64 b_2 2) a) (sqrt.f64 (/.f64 1 (-.f64 (.f64 2 (+.f64 (.f64 -1 (.f64 a c)) (.f64 a c))) (.f64 a c)))))) (.f64 (/.f64 1 a) (sqrt.f64 (-.f64 (.f64 2 (+.f64 (.f64 -1 (.f64 a c)) (.f64 a c))) (.f64 a c))))))
(+.f64 (.f64 -1 (/.f64 b_2 a)) (+.f64 (.f64 -1/8 (.f64 (/.f64 (pow.f64 b_2 4) a) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 2 (+.f64 (.f64 -1 (.f64 a c)) (.f64 a c))) (.f64 a c)) 3))))) (+.f64 (.f64 1/2 (.f64 (/.f64 (pow.f64 b_2 2) a) (sqrt.f64 (/.f64 1 (-.f64 (.f64 2 (+.f64 (.f64 -1 (.f64 a c)) (.f64 a c))) (.f64 a c)))))) (.f64 (/.f64 1 a) (sqrt.f64 (-.f64 (.f64 2 (+.f64 (.f64 -1 (.f64 a c)) (.f64 a c))) (*.f64 a c)))))))
(.f64 1/2 (/.f64 (-.f64 (.f64 2 (+.f64 (.f64 -1 (.f64 a c)) (.f64 a c))) (.f64 a c)) (*.f64 a b_2)))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 (-.f64 (.f64 2 (+.f64 (.f64 -1 (.f64 a c)) (.f64 a c))) (.f64 a c)) 2) (.f64 a (pow.f64 b_2 3)))) (.f64 1/2 (/.f64 (-.f64 (.f64 2 (+.f64 (.f64 -1 (.f64 a c)) (.f64 a c))) (.f64 a c)) (.f64 a b_2))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 (-.f64 (.f64 2 (+.f64 (.f64 -1 (.f64 a c)) (.f64 a c))) (.f64 a c)) 2) (.f64 a (pow.f64 b_2 3)))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 (-.f64 (.f64 2 (+.f64 (.f64 -1 (.f64 a c)) (.f64 a c))) (.f64 a c)) 3) (.f64 a (pow.f64 b_2 5)))) (.f64 1/2 (/.f64 (-.f64 (.f64 2 (+.f64 (.f64 -1 (.f64 a c)) (.f64 a c))) (.f64 a c)) (*.f64 a b_2)))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 1/16 (pow.f64 (-.f64 (.f64 2 (+.f64 (.f64 -1 (.f64 a c)) (.f64 a c))) (.f64 a c)) 4)) (pow.f64 (.f64 -1/8 (pow.f64 (-.f64 (.f64 2 (+.f64 (.f64 -1 (.f64 a c)) (.f64 a c))) (.f64 a c)) 2)) 2)) (.f64 a (pow.f64 b_2 7)))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (-.f64 (.f64 2 (+.f64 (.f64 -1 (.f64 a c)) (.f64 a c))) (.f64 a c)) 2) (.f64 a (pow.f64 b_2 3)))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 (-.f64 (.f64 2 (+.f64 (.f64 -1 (.f64 a c)) (.f64 a c))) (.f64 a c)) 3) (.f64 a (pow.f64 b_2 5)))) (.f64 1/2 (/.f64 (-.f64 (.f64 2 (+.f64 (.f64 -1 (.f64 a c)) (.f64 a c))) (.f64 a c)) (*.f64 a b_2))))))
(*.f64 -2 (/.f64 b_2 a))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 -1/2 (/.f64 (-.f64 (.f64 2 (+.f64 (.f64 -1 (.f64 a c)) (.f64 a c))) (.f64 a c)) (.f64 a b_2))))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (.f64 2 (+.f64 (.f64 -1 (.f64 a c)) (.f64 a c))) (.f64 a c)) (.f64 a b_2))) (.f64 1/8 (/.f64 (pow.f64 (-.f64 (.f64 2 (+.f64 (.f64 -1 (.f64 a c)) (.f64 a c))) (.f64 a c)) 2) (*.f64 a (pow.f64 b_2 3))))))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (.f64 2 (+.f64 (.f64 -1 (.f64 a c)) (.f64 a c))) (.f64 a c)) (.f64 a b_2))) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 (-.f64 (.f64 2 (+.f64 (.f64 -1 (.f64 a c)) (.f64 a c))) (.f64 a c)) 3) (.f64 a (pow.f64 b_2 5)))) (.f64 1/8 (/.f64 (pow.f64 (-.f64 (.f64 2 (+.f64 (.f64 -1 (.f64 a c)) (.f64 a c))) (.f64 a c)) 2) (.f64 a (pow.f64 b_2 3)))))))
(.f64 1/2 (/.f64 (-.f64 (.f64 2 (+.f64 c (*.f64 -1 c))) c) b_2))
(+.f64 (.f64 -1/8 (/.f64 (.f64 a (pow.f64 (-.f64 (.f64 2 (+.f64 c (.f64 -1 c))) c) 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (-.f64 (.f64 2 (+.f64 c (*.f64 -1 c))) c) b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 a (pow.f64 (-.f64 (.f64 2 (+.f64 c (.f64 -1 c))) c) 2)) (pow.f64 b_2 3))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 (-.f64 (.f64 2 (+.f64 c (.f64 -1 c))) c) 3)) (pow.f64 b_2 5))) (.f64 1/2 (/.f64 (-.f64 (.f64 2 (+.f64 c (*.f64 -1 c))) c) b_2))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a 3) (+.f64 (.f64 1/16 (/.f64 (pow.f64 (-.f64 (.f64 2 (+.f64 c (.f64 -1 c))) c) 4) (pow.f64 b_2 6))) (pow.f64 (.f64 -1/8 (/.f64 (pow.f64 (-.f64 (.f64 2 (+.f64 c (.f64 -1 c))) c) 2) (pow.f64 b_2 3))) 2))) b_2)) (+.f64 (.f64 -1/8 (/.f64 (.f64 a (pow.f64 (-.f64 (.f64 2 (+.f64 c (.f64 -1 c))) c) 2)) (pow.f64 b_2 3))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 (-.f64 (.f64 2 (+.f64 c (.f64 -1 c))) c) 3)) (pow.f64 b_2 5))) (.f64 1/2 (/.f64 (-.f64 (.f64 2 (+.f64 c (*.f64 -1 c))) c) b_2)))))
(.f64 1/2 (/.f64 (.f64 c (-.f64 (.f64 2 (+.f64 a (.f64 -1 a))) a)) (*.f64 a b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 (-.f64 (.f64 2 (+.f64 a (.f64 -1 a))) a) 2)) (.f64 a (pow.f64 b_2 3)))) (.f64 1/2 (/.f64 (.f64 c (-.f64 (.f64 2 (+.f64 a (.f64 -1 a))) a)) (.f64 a b_2))))
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(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 -1))
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(*.f64 -2 b_2)
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(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))
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(.f64 1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2))
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(*.f64 -2 (/.f64 b_2 a))
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(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 -1))
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b_2
(+.f64 b_2 (.f64 1/2 (/.f64 (.f64 a (*.f64 c (pow.f64 (sqrt.f64 -1) 2))) b_2)))
(+.f64 b_2 (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 a 2) (.f64 (pow.f64 c 2) (pow.f64 (sqrt.f64 -1) 4))) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (.f64 a (.f64 c (pow.f64 (sqrt.f64 -1) 2))) b_2))))
(+.f64 b_2 (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 a 2) (.f64 (pow.f64 c 2) (pow.f64 (sqrt.f64 -1) 4))) (pow.f64 b_2 3))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 a 3) (.f64 (pow.f64 c 3) (pow.f64 (sqrt.f64 -1) 6))) (pow.f64 b_2 5))) (.f64 1/2 (/.f64 (.f64 a (*.f64 c (pow.f64 (sqrt.f64 -1) 2))) b_2)))))
(*.f64 -1 b_2)
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b_2
b_2
(pow.f64 (.f64 -1 (.f64 a c)) 1/4)
(+.f64 (.f64 -1/4 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 a 3) (pow.f64 c 3))) 1/4) (pow.f64 b_2 2))) (pow.f64 (.f64 -1 (*.f64 a c)) 1/4))
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(+.f64 (.f64 -1/4 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 a 3) (pow.f64 c 3))) 1/4) (pow.f64 b_2 2))) (+.f64 (.f64 -3/32 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 a 7) (pow.f64 c 7))) 1/4) (pow.f64 b_2 4))) (+.f64 (.f64 -7/128 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 a 11) (pow.f64 c 11))) 1/4) (pow.f64 b_2 6))) (pow.f64 (.f64 -1 (*.f64 a c)) 1/4))))
(sqrt.f64 b_2)
(+.f64 (sqrt.f64 b_2) (.f64 -1/4 (.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))))
(+.f64 (sqrt.f64 b_2) (+.f64 (.f64 -1/4 (.f64 (.f64 a c) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 b_2 7))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 a 2) (pow.f64 c 2))) (.f64 1/32 (.f64 (pow.f64 a 2) (pow.f64 c 2)))))))
(+.f64 (sqrt.f64 b_2) (+.f64 (.f64 -1/4 (.f64 (.f64 a c) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (+.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 b_2 7))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 a 2) (pow.f64 c 2))) (.f64 1/32 (.f64 (pow.f64 a 2) (pow.f64 c 2))))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 b_2 11))) (+.f64 (.f64 -1/12 (.f64 (pow.f64 a 3) (pow.f64 c 3))) (+.f64 (.f64 -1/384 (.f64 (pow.f64 a 3) (pow.f64 c 3))) (.f64 1/32 (*.f64 (pow.f64 a 3) (pow.f64 c 3)))))))))
(*.f64 (sqrt.f64 b_2) (sqrt.f64 -1))
(+.f64 (.f64 -1/4 (.f64 (.f64 a (.f64 c (sqrt.f64 -1))) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (*.f64 (sqrt.f64 b_2) (sqrt.f64 -1)))
(+.f64 (.f64 -1/4 (.f64 (.f64 a (.f64 c (sqrt.f64 -1))) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (+.f64 (.f64 (sqrt.f64 b_2) (sqrt.f64 -1)) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 b_2 7))) (.f64 (sqrt.f64 -1) (+.f64 (.f64 -1/8 (.f64 (pow.f64 a 2) (pow.f64 c 2))) (.f64 1/32 (*.f64 (pow.f64 a 2) (pow.f64 c 2))))))))
(+.f64 (.f64 -1/4 (.f64 (.f64 a (.f64 c (sqrt.f64 -1))) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (+.f64 (.f64 (sqrt.f64 b_2) (sqrt.f64 -1)) (+.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 b_2 7))) (.f64 (sqrt.f64 -1) (+.f64 (.f64 -1/8 (.f64 (pow.f64 a 2) (pow.f64 c 2))) (.f64 1/32 (.f64 (pow.f64 a 2) (pow.f64 c 2)))))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 b_2 11))) (.f64 (sqrt.f64 -1) (+.f64 (.f64 -1/12 (.f64 (pow.f64 a 3) (pow.f64 c 3))) (+.f64 (.f64 -1/384 (.f64 (pow.f64 a 3) (pow.f64 c 3))) (.f64 1/32 (*.f64 (pow.f64 a 3) (pow.f64 c 3))))))))))
(*.f64 (pow.f64 1 1/4) (sqrt.f64 b_2))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 1 1/4) (.f64 (.f64 a c) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3)))))) (*.f64 (pow.f64 1 1/4) (sqrt.f64 b_2)))
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(+.f64 (.f64 -1/4 (.f64 (pow.f64 1 1/4) (.f64 (.f64 a c) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3)))))) (+.f64 (.f64 (pow.f64 1 1/4) (sqrt.f64 b_2)) (+.f64 (.f64 (pow.f64 1 1/4) (.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 4))) (.f64 1/32 (/.f64 (pow.f64 c 2) (pow.f64 b_2 4))))) (sqrt.f64 b_2))) (.f64 (pow.f64 1 1/4) (.f64 (.f64 (pow.f64 a 3) (+.f64 (.f64 -1/12 (/.f64 (pow.f64 c 3) (pow.f64 b_2 6))) (+.f64 (.f64 -1/384 (/.f64 (pow.f64 c 3) (pow.f64 b_2 6))) (.f64 1/32 (/.f64 (pow.f64 c 3) (pow.f64 b_2 6)))))) (sqrt.f64 b_2))))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 c)) (.f64 -1 (log.f64 (/.f64 1 a))))))
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(+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 c)) (.f64 -1 (log.f64 (/.f64 1 a)))))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 b_2 2) (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 c)) (.f64 -1 (log.f64 (/.f64 1 a))))))) (.f64 a c))) (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 c)) (.f64 -1 (log.f64 (/.f64 1 a)))))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2))) (.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2))))) (pow.f64 a 2))))
(+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 c)) (.f64 -1 (log.f64 (/.f64 1 a)))))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 b_2 2) (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 c)) (.f64 -1 (log.f64 (/.f64 1 a))))))) (.f64 a c))) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 c)) (.f64 -1 (log.f64 (/.f64 1 a)))))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2))) (.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2))))) (pow.f64 a 2)) (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 c)) (.f64 -1 (log.f64 (/.f64 1 a)))))) (+.f64 (.f64 -1/12 (/.f64 (pow.f64 b_2 6) (pow.f64 c 3))) (+.f64 (.f64 -1/384 (/.f64 (pow.f64 b_2 6) (pow.f64 c 3))) (.f64 1/32 (/.f64 (pow.f64 b_2 6) (pow.f64 c 3)))))) (pow.f64 a 3)))))
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(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 -1))
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b_2
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(*.f64 -1 b_2)
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b_2
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b_2
(+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 a c) b_2)))
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(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)
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(+.f64 (.f64 a c) (.f64 a c))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 a c (*.f64 a c)))) 1)
(.f64 1 (fma.f64 a c (.f64 a c)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 a c (.f64 a c))) 2) (cbrt.f64 (fma.f64 a c (*.f64 a c))))
(.f64 (sqrt.f64 (fma.f64 a c (.f64 a c))) (sqrt.f64 (fma.f64 a c (*.f64 a c))))
(/.f64 (+.f64 (pow.f64 (.f64 a c) 3) (pow.f64 (.f64 a c) 3)) (+.f64 (pow.f64 (.f64 a c) 2) (-.f64 (pow.f64 (.f64 a c) 2) (pow.f64 (*.f64 a c) 2))))
(/.f64 (-.f64 (pow.f64 (.f64 a c) 2) (pow.f64 (.f64 a c) 2)) (-.f64 (.f64 a c) (.f64 a c)))
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(pow.f64 (cbrt.f64 (fma.f64 a c (*.f64 a c))) 3)
(pow.f64 (pow.f64 (fma.f64 a c (*.f64 a c)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 a c (*.f64 a c))) 2)
(sqrt.f64 (pow.f64 (fma.f64 a c (*.f64 a c)) 2))
(log.f64 (exp.f64 (fma.f64 a c (*.f64 a c))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 a c (*.f64 a c)))))
(cbrt.f64 (pow.f64 (fma.f64 a c (*.f64 a c)) 3))
(expm1.f64 (log1p.f64 (fma.f64 a c (*.f64 a c))))
(exp.f64 (log.f64 (fma.f64 a c (*.f64 a c))))
(exp.f64 (.f64 (log.f64 (fma.f64 a c (.f64 a c))) 1))
(log1p.f64 (expm1.f64 (fma.f64 a c (*.f64 a c))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 (fma.f64 a c (.f64 a c)) 2 (fma.f64 b_2 b_2 (.f64 a c)))))) 1)
(.f64 1 (sqrt.f64 (fma.f64 (fma.f64 a c (.f64 a c)) 2 (fma.f64 b_2 b_2 (*.f64 a c)))))
(.f64 (cbrt.f64 (fma.f64 (fma.f64 a c (.f64 a c)) 2 (fma.f64 b_2 b_2 (.f64 a c)))) (cbrt.f64 (sqrt.f64 (fma.f64 (fma.f64 a c (.f64 a c)) 2 (fma.f64 b_2 b_2 (*.f64 a c))))))
(.f64 (pow.f64 (fma.f64 (fma.f64 a c (.f64 a c)) 2 (fma.f64 b_2 b_2 (.f64 a c))) 1/4) (pow.f64 (fma.f64 (fma.f64 a c (.f64 a c)) 2 (fma.f64 b_2 b_2 (*.f64 a c))) 1/4))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 (fma.f64 a c (.f64 a c)) 2 (fma.f64 b_2 b_2 (*.f64 a c)))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 (fma.f64 a c (.f64 a c)) 2 (fma.f64 b_2 b_2 (.f64 a c)))) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 (fma.f64 a c (.f64 a c)) 2 (fma.f64 b_2 b_2 (*.f64 a c)))) 1/2))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (fma.f64 a c (.f64 a c)) 2 (fma.f64 b_2 b_2 (.f64 a c)))) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 (fma.f64 a c (.f64 a c)) 2 (fma.f64 b_2 b_2 (*.f64 a c))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (fma.f64 b_2 b_2 (.f64 a c)) 2) (pow.f64 (.f64 (fma.f64 a c (.f64 a c)) 2) 2))) (sqrt.f64 (-.f64 (fma.f64 b_2 b_2 (.f64 a c)) (.f64 (fma.f64 a c (.f64 a c)) 2))))
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(pow.f64 (fma.f64 (fma.f64 a c (.f64 a c)) 2 (fma.f64 b_2 b_2 (.f64 a c))) 1/2)
(pow.f64 (sqrt.f64 (fma.f64 (fma.f64 a c (.f64 a c)) 2 (fma.f64 b_2 b_2 (.f64 a c)))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (fma.f64 a c (.f64 a c)) 2 (fma.f64 b_2 b_2 (.f64 a c))))) 3)
(pow.f64 (pow.f64 (fma.f64 (fma.f64 a c (.f64 a c)) 2 (fma.f64 b_2 b_2 (.f64 a c))) 3/2) 1/3)
(pow.f64 (pow.f64 (fma.f64 (fma.f64 a c (.f64 a c)) 2 (fma.f64 b_2 b_2 (.f64 a c))) 1/4) 2)
(fabs.f64 (sqrt.f64 (fma.f64 (fma.f64 a c (.f64 a c)) 2 (fma.f64 b_2 b_2 (.f64 a c)))))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 (fma.f64 a c (.f64 a c)) 2 (fma.f64 b_2 b_2 (.f64 a c))))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 (fma.f64 a c (.f64 a c)) 2 (fma.f64 b_2 b_2 (.f64 a c)))))))
(cbrt.f64 (pow.f64 (fma.f64 (fma.f64 a c (.f64 a c)) 2 (fma.f64 b_2 b_2 (.f64 a c))) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 (fma.f64 a c (.f64 a c)) 2 (fma.f64 b_2 b_2 (.f64 a c))))))
(hypot.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) (sqrt.f64 (.f64 (fma.f64 a c (*.f64 a c)) 2)))
(hypot.f64 (sqrt.f64 (.f64 (fma.f64 a c (.f64 a c)) 2)) (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))
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(exp.f64 (log.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) a)))
(exp.f64 (.f64 (log.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2) a)) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) a)))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))) 1)
(.f64 1 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))))
(.f64 (sqrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c)))) (sqrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))
(.f64 (cbrt.f64 (fma.f64 b_2 b_2 (.f64 a c))) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))
(.f64 (pow.f64 1 1/2) (hypot.f64 b_2 (sqrt.f64 (.f64 a c))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 b_2 b_2 (.f64 a c))) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) 1/2))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 b_2 b_2 (.f64 a c))) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 4) (pow.f64 (.f64 a c) 2))) (hypot.f64 b_2 (sqrt.f64 (.f64 a c))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 6) (pow.f64 (.f64 a c) 3))) (sqrt.f64 (+.f64 (pow.f64 b_2 4) (+.f64 (pow.f64 (.f64 a c) 2) (.f64 (pow.f64 b_2 2) (.f64 a c))))))
(pow.f64 (fma.f64 b_2 b_2 (*.f64 a c)) 1/2)
(pow.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) 1)
(pow.f64 (sqrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) 2)
(pow.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) 3)
(pow.f64 (pow.f64 (fma.f64 b_2 b_2 (*.f64 a c)) 2) 1/4)
(pow.f64 (pow.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) 3) 1/3)
(sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))
(fabs.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))
(log.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))
(log.f64 (+.f64 1 (expm1.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))))
(cbrt.f64 (pow.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) 3))
(expm1.f64 (log1p.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))
(exp.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))
(exp.f64 (.f64 (log.f64 (fma.f64 b_2 b_2 (.f64 a c))) 1/2))
(exp.f64 (.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c)))) 1))
(log1p.f64 (expm1.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))) 1)
(.f64 1 (sqrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c)))))
(.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c)))) (cbrt.f64 (sqrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))))
(.f64 (pow.f64 (fma.f64 b_2 b_2 (.f64 a c)) 1/8) (pow.f64 (fma.f64 b_2 b_2 (*.f64 a c)) 1/8))
(.f64 (pow.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) 1/4) (pow.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) 1/4))
(.f64 (pow.f64 1 1/4) (sqrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c)))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 b_2 b_2 (.f64 a c))) 2) 1/4) (pow.f64 (cbrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) 1/4))
(.f64 (sqrt.f64 (cbrt.f64 (fma.f64 b_2 b_2 (.f64 a c)))) (sqrt.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))))
(sqrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))
(fabs.f64 (sqrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))
(log.f64 (exp.f64 (sqrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))))
(cbrt.f64 (pow.f64 (fma.f64 b_2 b_2 (*.f64 a c)) 3/4))
(expm1.f64 (log1p.f64 (sqrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))))
(exp.f64 (log.f64 (sqrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))))
(+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) (neg.f64 b_2))
(+.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) (fma.f64 (neg.f64 (sqrt.f64 b_2)) (sqrt.f64 b_2) b_2))
(+.f64 (fma.f64 (sqrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c)))) (sqrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c)))) (neg.f64 (.f64 b_2 1))) (fma.f64 (neg.f64 b_2) 1 (.f64 b_2 1)))
(+.f64 (fma.f64 (sqrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c)))) (sqrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c)))) (neg.f64 (.f64 (cbrt.f64 b_2) (pow.f64 (cbrt.f64 b_2) 2)))) (fma.f64 (neg.f64 (cbrt.f64 b_2)) (pow.f64 (cbrt.f64 b_2) 2) (.f64 (cbrt.f64 b_2) (pow.f64 (cbrt.f64 b_2) 2))))
(+.f64 (fma.f64 1 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) (neg.f64 (.f64 b_2 1))) (fma.f64 (neg.f64 b_2) 1 (*.f64 b_2 1)))
(+.f64 (fma.f64 1 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) (neg.f64 (.f64 (cbrt.f64 b_2) (pow.f64 (cbrt.f64 b_2) 2)))) (fma.f64 (neg.f64 (cbrt.f64 b_2)) (pow.f64 (cbrt.f64 b_2) 2) (*.f64 (cbrt.f64 b_2) (pow.f64 (cbrt.f64 b_2) 2))))
(+.f64 (fma.f64 (cbrt.f64 (fma.f64 b_2 b_2 (.f64 a c))) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c)))) (neg.f64 (.f64 b_2 1))) (fma.f64 (neg.f64 b_2) 1 (.f64 b_2 1)))
(+.f64 (fma.f64 (cbrt.f64 (fma.f64 b_2 b_2 (.f64 a c))) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c)))) (neg.f64 (.f64 (cbrt.f64 b_2) (pow.f64 (cbrt.f64 b_2) 2)))) (fma.f64 (neg.f64 (cbrt.f64 b_2)) (pow.f64 (cbrt.f64 b_2) 2) (.f64 (cbrt.f64 b_2) (pow.f64 (cbrt.f64 b_2) 2))))
(.f64 1 (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2))
(.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2)) 2) (cbrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)))
(.f64 (sqrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2)) (sqrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)))
(.f64 (-.f64 (pow.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) 3) (pow.f64 b_2 3)) (/.f64 1 (+.f64 (fma.f64 b_2 b_2 (.f64 a c)) (fma.f64 b_2 b_2 (.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)))))
(.f64 (-.f64 (fma.f64 b_2 b_2 (.f64 a c)) (pow.f64 b_2 2)) (/.f64 1 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)))
(/.f64 1 (/.f64 (+.f64 (fma.f64 b_2 b_2 (.f64 a c)) (fma.f64 b_2 b_2 (.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2))) (-.f64 (pow.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) 3) (pow.f64 b_2 3))))
(/.f64 1 (/.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2) (-.f64 (fma.f64 b_2 b_2 (.f64 a c)) (pow.f64 b_2 2))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) 3) (pow.f64 b_2 3)) (+.f64 (fma.f64 b_2 b_2 (.f64 a c)) (fma.f64 b_2 b_2 (.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2))))
(/.f64 (-.f64 (fma.f64 b_2 b_2 (.f64 a c)) (pow.f64 b_2 2)) (+.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2))
(/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) 3) (pow.f64 b_2 3))) (neg.f64 (+.f64 (fma.f64 b_2 b_2 (.f64 a c)) (fma.f64 b_2 b_2 (.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2)))))
(/.f64 (neg.f64 (-.f64 (fma.f64 b_2 b_2 (.f64 a c)) (pow.f64 b_2 2))) (neg.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2)))
(/.f64 (+.f64 (pow.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) 3) (pow.f64 (neg.f64 b_2) 3)) (+.f64 (fma.f64 b_2 b_2 (.f64 a c)) (-.f64 (.f64 (neg.f64 b_2) (neg.f64 b_2)) (.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) (neg.f64 b_2)))))
(/.f64 (-.f64 (fma.f64 b_2 b_2 (.f64 a c)) (.f64 (neg.f64 b_2) (neg.f64 b_2))) (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) (neg.f64 b_2)))
(pow.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) 1)
(pow.f64 (cbrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)) 3)
(pow.f64 (pow.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)) 2)
(sqrt.f64 (pow.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) 2))
(log.f64 (exp.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2))))
(cbrt.f64 (pow.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) 3))
(expm1.f64 (log1p.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)))
(exp.f64 (log.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)))
(exp.f64 (.f64 (log.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2)) 1))
(log1p.f64 (expm1.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)))
(fma.f64 1 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) (neg.f64 b_2))
(fma.f64 (sqrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c)))) (sqrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c)))) (neg.f64 b_2))
(fma.f64 (cbrt.f64 (fma.f64 b_2 b_2 (.f64 a c))) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c)))) (neg.f64 b_2))
(+.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) a) (neg.f64 (/.f64 b_2 a)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) a))) 1)
(-.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) a) (/.f64 b_2 a))
(.f64 1 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2) a))
(.f64 (/.f64 1 a) (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2))
(.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2) (/.f64 1 a))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2) a)) 2) (cbrt.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) a)))
(.f64 (pow.f64 a -1/2) (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2) (sqrt.f64 a)))
(.f64 (sqrt.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2) a)) (sqrt.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) a)))
(.f64 (neg.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2)) (/.f64 1 a))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2) (cbrt.f64 a)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2)) 2) 1) (/.f64 (cbrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)) a))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2)) 2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) a)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2)) 2) (sqrt.f64 a)) (/.f64 (cbrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)) (sqrt.f64 a)))
(.f64 (/.f64 (sqrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2)) 1) (/.f64 (sqrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)) a))
(.f64 (/.f64 (sqrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2)) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (sqrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)) (cbrt.f64 a)))
(pow.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) a) 1)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) a)) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) a) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) a)) 2)
(pow.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)) -1)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) a) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) a)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) a))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) a) 3))
(cbrt.f64 (.f64 (pow.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2) 3) (pow.f64 (/.f64 1 a) 3)))
(cbrt.f64 (.f64 (pow.f64 (/.f64 1 a) 3) (pow.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2) 3)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) 3) (pow.f64 a 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) a)))
(exp.f64 (log.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) a)))
(exp.f64 (.f64 (log.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2) a)) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) a)))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))) 1)
(.f64 1 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))))
(.f64 (sqrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c)))) (sqrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))
(.f64 (cbrt.f64 (fma.f64 b_2 b_2 (.f64 a c))) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))
(.f64 (pow.f64 1 1/2) (hypot.f64 b_2 (sqrt.f64 (.f64 a c))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 b_2 b_2 (.f64 a c))) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) 1/2))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 b_2 b_2 (.f64 a c))) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 4) (pow.f64 (.f64 a c) 2))) (hypot.f64 b_2 (sqrt.f64 (.f64 a c))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 6) (pow.f64 (.f64 a c) 3))) (sqrt.f64 (+.f64 (pow.f64 b_2 4) (+.f64 (pow.f64 (.f64 a c) 2) (.f64 (pow.f64 b_2 2) (.f64 a c))))))
(sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))
(fabs.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))
(log.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))
(log.f64 (+.f64 1 (expm1.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))))
(cbrt.f64 (pow.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) 3))
(expm1.f64 (log1p.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))
(hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))
(exp.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))
(exp.f64 (.f64 (log.f64 (fma.f64 b_2 b_2 (.f64 a c))) 1/2))
(exp.f64 (.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c)))) 1))
(log1p.f64 (expm1.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))

Outputs
(.f64 a (+.f64 c (.f64 -1 c)))
(.f64 a (.f64 0 c))
(.f64 a (+.f64 c (.f64 -1 c)))
(.f64 a (.f64 0 c))
(.f64 a (+.f64 c (.f64 -1 c)))
(.f64 a (.f64 0 c))
(.f64 a (+.f64 c (.f64 -1 c)))
(.f64 a (.f64 0 c))
(.f64 a (+.f64 c (.f64 -1 c)))
(.f64 a (.f64 0 c))
(.f64 a (+.f64 c (.f64 -1 c)))
(.f64 a (.f64 0 c))
(.f64 a (+.f64 c (.f64 -1 c)))
(.f64 a (.f64 0 c))
(.f64 a (+.f64 c (.f64 -1 c)))
(.f64 a (.f64 0 c))
(.f64 -1 (.f64 a (+.f64 c (*.f64 -1 c))))
(.f64 a (.f64 0 c))
(.f64 -1 (.f64 a (+.f64 c (*.f64 -1 c))))
(.f64 a (.f64 0 c))
(.f64 -1 (.f64 a (+.f64 c (*.f64 -1 c))))
(.f64 a (.f64 0 c))
(.f64 -1 (.f64 a (+.f64 c (*.f64 -1 c))))
(.f64 a (.f64 0 c))
(.f64 c (+.f64 a (.f64 -1 a)))
(.f64 a (.f64 0 c))
(.f64 c (+.f64 a (.f64 -1 a)))
(.f64 a (.f64 0 c))
(.f64 c (+.f64 a (.f64 -1 a)))
(.f64 a (.f64 0 c))
(.f64 c (+.f64 a (.f64 -1 a)))
(.f64 a (.f64 0 c))
(.f64 c (+.f64 a (.f64 -1 a)))
(.f64 a (.f64 0 c))
(.f64 c (+.f64 a (.f64 -1 a)))
(.f64 a (.f64 0 c))
(.f64 c (+.f64 a (.f64 -1 a)))
(.f64 a (.f64 0 c))
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b_2
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b_2
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b_2
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(.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2) (/.f64 1 a))
(-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)
(.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2) a)) 2) (cbrt.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) a)))
(-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)
(.f64 (pow.f64 a -1/2) (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2) (sqrt.f64 a)))
(-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)
(.f64 (sqrt.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2) a)) (sqrt.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) a)))
(-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)
(.f64 (neg.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2)) (/.f64 1 a))
(-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2) (cbrt.f64 a)))
(-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2)) 2) 1) (/.f64 (cbrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)) a))
(-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2)) 2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) a)))
(-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2)) 2) (sqrt.f64 a)) (/.f64 (cbrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)) (sqrt.f64 a)))
(-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)
(.f64 (/.f64 (sqrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2)) 1) (/.f64 (sqrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)) a))
(-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)
(.f64 (/.f64 (sqrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2)) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (sqrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)) (cbrt.f64 a)))
(-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)
(pow.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) a) 1)
(-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) a)) 3)
(-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)
(pow.f64 (pow.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) a) 3) 1/3)
(-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) a)) 2)
(-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)
(pow.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)) -1)
(-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) a) 2))
(-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)
(log.f64 (exp.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) a)))
(-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) a))))
(-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) a) 3))
(-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)
(cbrt.f64 (.f64 (pow.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2) 3) (pow.f64 (/.f64 1 a) 3)))
(-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)
(cbrt.f64 (.f64 (pow.f64 (/.f64 1 a) 3) (pow.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2) 3)))
(-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) 3) (pow.f64 a 3)))
(-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) a)))
(-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)
(exp.f64 (log.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) a)))
(-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)
(exp.f64 (.f64 (log.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2) a)) 1))
(-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) a)))
(-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))) 1)
(-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)
(.f64 1 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))))
(-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)
(.f64 (sqrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c)))) (sqrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))
(-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)
(.f64 (cbrt.f64 (fma.f64 b_2 b_2 (.f64 a c))) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))
(-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)
(.f64 (pow.f64 1 1/2) (hypot.f64 b_2 (sqrt.f64 (.f64 a c))))
(-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 b_2 b_2 (.f64 a c))) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) 1/2))
(.f64 a (.f64 0 c))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 b_2 b_2 (.f64 a c))) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))))
(.f64 a (.f64 0 c))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 4) (pow.f64 (.f64 a c) 2))) (hypot.f64 b_2 (sqrt.f64 (.f64 a c))))
(-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)
(/.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 6) (pow.f64 (.f64 a c) 3))) (sqrt.f64 (+.f64 (pow.f64 b_2 4) (+.f64 (pow.f64 (.f64 a c) 2) (.f64 (pow.f64 b_2 2) (.f64 a c))))))
(.f64 a (.f64 0 c))
(sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))
(.f64 a (.f64 0 c))
(fabs.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))
(-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)
(log.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))
(-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)
(log.f64 (+.f64 1 (expm1.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))))
(-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)
(cbrt.f64 (pow.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) 3))
(-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)
(expm1.f64 (log1p.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))
(-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)
(hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))
(-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)
(exp.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))
(-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)
(exp.f64 (.f64 (log.f64 (fma.f64 b_2 b_2 (.f64 a c))) 1/2))
(.f64 a (.f64 0 c))
(exp.f64 (.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c)))) 1))
(-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)
(log1p.f64 (expm1.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))
(-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)

eval338.0ms (4%)

Compiler: Compiled 21890 to 13377 computations (38.9% saved)

prune151.0ms (1.8%)

Pruning

31 alts after pruning (28 fresh and 3 done)

	Pruned	Kept	Total
New	561	13	574
Fresh	0	15	15
Picked	3	2	5
Done	0	1	1
Total	564	31	595

Accuracy

98.5%

Counts

595 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	45.6%	(fma.f64 (cbrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) (/.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a))))) a) (/.f64 (neg.f64 b_2) a))
▶	53.5%	(pow.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2)) -1)
	53.0%	(pow.f64 (cbrt.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2) a)) 3)
	26.2%	(pow.f64 (cbrt.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) a)) 3)
	38.5%	(/.f64 (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) (*.f64 b_2 -2)) a)
	52.9%	(/.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) b_2) (cbrt.f64 a)) (pow.f64 (cbrt.f64 a) 2))
▶	23.9%	(/.f64 (/.f64 (-.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)) (.f64 (neg.f64 b_2) (neg.f64 b_2))) (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) (neg.f64 b_2))) a)
	25.0%	(/.f64 (/.f64 -1/2 (/.f64 b_2 (*.f64 a c))) a)
	36.2%	(/.f64 (-.f64 (pow.f64 (pow.f64 (.f64 -1 (.f64 a c)) 1/4) 2) b_2) a)
	16.4%	(/.f64 (-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 c)) (.f64 -1 (log.f64 (/.f64 1 a)))))) 2) b_2) a)
	23.2%	(/.f64 (-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2) b_2) a)
✓	54.7%	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
✓	54.4%	(/.f64 (-.f64 (sqrt.f64 (+.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)) (.f64 2 (fma.f64 a (neg.f64 c) (*.f64 a c))))) b_2) a)
	36.3%	(/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)
	50.4%	(/.f64 (-.f64 (exp.f64 (.f64 (log.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) 1/2)) b_2) a)
	44.5%	(/.f64 (-.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c)) 3/2)) b_2) a)
▶	32.1%	(/.f64 (*.f64 c -1/2) b_2)
✓	38.8%	(/.f64 (*.f64 b_2 -2) a)
	24.4%	(/.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) a)
	27.1%	(/.f64 (*.f64 -1/2 (/.f64 a (/.f64 b_2 c))) a)
	24.4%	(/.f64 (.f64 -1/2 (.f64 (/.f64 c 1) (/.f64 a b_2))) a)
	10.2%	(/.f64 (.f64 -1/2 (.f64 (*.f64 a c) (/.f64 1 (neg.f64 b_2)))) a)
▶	27.1%	(/.f64 (.f64 -1/2 (.f64 a (/.f64 1 (/.f64 b_2 c)))) a)
	25.2%	(/.f64 (expm1.f64 (log1p.f64 (.f64 -1/2 (.f64 a (/.f64 c b_2))))) a)
	48.9%	(-.f64 (/.f64 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (cbrt.f64 a)) (/.f64 b_2 a))
	38.6%	(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
	27.2%	(.f64 (/.f64 (.f64 a (/.f64 c b_2)) 1) (/.f64 -1/2 a))
▶	26.8%	(.f64 (/.f64 1 a) (sqrt.f64 (-.f64 (.f64 2 (+.f64 (.f64 -1 (.f64 a c)) (.f64 a c))) (.f64 a c))))
	25.1%	(.f64 1/2 (/.f64 (.f64 c (-.f64 (.f64 2 (+.f64 a (.f64 -1 a))) a)) (*.f64 a b_2)))
	25.1%	(exp.f64 (log.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2) a)))
	18.8%	(cbrt.f64 (pow.f64 (.f64 -1/2 (/.f64 (.f64 a (/.f64 c b_2)) a)) 3))
	45.6%	(fma.f64 (cbrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) (/.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a))))) a) (/.f64 (neg.f64 b_2) a))
▶	53.5%	(pow.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2)) -1)
	53.0%	(pow.f64 (cbrt.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2) a)) 3)
	26.2%	(pow.f64 (cbrt.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) a)) 3)
	38.5%	(/.f64 (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) (*.f64 b_2 -2)) a)
	52.9%	(/.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) b_2) (cbrt.f64 a)) (pow.f64 (cbrt.f64 a) 2))
▶	23.9%	(/.f64 (/.f64 (-.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)) (.f64 (neg.f64 b_2) (neg.f64 b_2))) (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) (neg.f64 b_2))) a)
	25.0%	(/.f64 (/.f64 -1/2 (/.f64 b_2 (*.f64 a c))) a)
	36.2%	(/.f64 (-.f64 (pow.f64 (pow.f64 (.f64 -1 (.f64 a c)) 1/4) 2) b_2) a)
	16.4%	(/.f64 (-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 c)) (.f64 -1 (log.f64 (/.f64 1 a)))))) 2) b_2) a)
	23.2%	(/.f64 (-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2) b_2) a)
✓	54.7%	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
✓	54.4%	(/.f64 (-.f64 (sqrt.f64 (+.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)) (.f64 2 (fma.f64 a (neg.f64 c) (*.f64 a c))))) b_2) a)
	36.3%	(/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)
	50.4%	(/.f64 (-.f64 (exp.f64 (.f64 (log.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) 1/2)) b_2) a)
	44.5%	(/.f64 (-.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c)) 3/2)) b_2) a)
▶	32.1%	(/.f64 (*.f64 c -1/2) b_2)
✓	38.8%	(/.f64 (*.f64 b_2 -2) a)
	24.4%	(/.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) a)
	27.1%	(/.f64 (*.f64 -1/2 (/.f64 a (/.f64 b_2 c))) a)
	24.4%	(/.f64 (.f64 -1/2 (.f64 (/.f64 c 1) (/.f64 a b_2))) a)
	10.2%	(/.f64 (.f64 -1/2 (.f64 (*.f64 a c) (/.f64 1 (neg.f64 b_2)))) a)
▶	27.1%	(/.f64 (.f64 -1/2 (.f64 a (/.f64 1 (/.f64 b_2 c)))) a)
	25.2%	(/.f64 (expm1.f64 (log1p.f64 (.f64 -1/2 (.f64 a (/.f64 c b_2))))) a)
	48.9%	(-.f64 (/.f64 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (cbrt.f64 a)) (/.f64 b_2 a))
	38.6%	(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
	27.2%	(.f64 (/.f64 (.f64 a (/.f64 c b_2)) 1) (/.f64 -1/2 a))
▶	26.8%	(.f64 (/.f64 1 a) (sqrt.f64 (-.f64 (.f64 2 (+.f64 (.f64 -1 (.f64 a c)) (.f64 a c))) (.f64 a c))))
	25.1%	(.f64 1/2 (/.f64 (.f64 c (-.f64 (.f64 2 (+.f64 a (.f64 -1 a))) a)) (*.f64 a b_2)))
	25.1%	(exp.f64 (log.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2) a)))
	18.8%	(cbrt.f64 (pow.f64 (.f64 -1/2 (/.f64 (.f64 a (/.f64 c b_2)) a)) 3))

Compiler

Compiled 1988 to 1376 computations (30.8% saved)

localize411.0ms (4.9%)

Localize:

Found 15 expressions with local error:

New	Accuracy	Program
✓	87.3%	(-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) (neg.f64 b_2))
	82.3%	(sqrt.f64 (*.f64 c (neg.f64 a)))
✓	80.0%	(/.f64 (-.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)) (.f64 (neg.f64 b_2) (neg.f64 b_2))) (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) (neg.f64 b_2)))
✓	69.2%	(-.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)) (.f64 (neg.f64 b_2) (neg.f64 b_2)))
✓	99.6%	(.f64 (/.f64 1 a) (sqrt.f64 (-.f64 (.f64 2 (+.f64 (.f64 -1 (.f64 a c)) (.f64 a c))) (.f64 a c))))
✓	89.6%	(+.f64 (.f64 -1 (.f64 a c)) (*.f64 a c))
✓	82.3%	(sqrt.f64 (-.f64 (.f64 2 (+.f64 (.f64 -1 (.f64 a c)) (.f64 a c))) (*.f64 a c)))
✓	100.0%	(.f64 -1/2 (.f64 a (/.f64 1 (/.f64 b_2 c))))
✓	99.4%	(/.f64 1 (/.f64 b_2 c))
✓	96.0%	(*.f64 a (/.f64 1 (/.f64 b_2 c)))
✓	88.5%	(/.f64 (.f64 -1/2 (.f64 a (/.f64 1 (/.f64 b_2 c)))) a)
✓	99.6%	(pow.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2)) -1)
✓	98.0%	(/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2))
	90.4%	(-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2)
	82.3%	(sqrt.f64 (*.f64 c (neg.f64 a)))

Compiler

Compiled 312 to 101 computations (67.6% saved)

series133.0ms (1.6%)

Counts

12 → 244

Calls

96 calls:

Time	Variable		Point	Expression
45.0ms	c	@	inf	(/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2))
11.0ms	a	@	inf	(.f64 (/.f64 1 a) (sqrt.f64 (-.f64 (.f64 2 (+.f64 (.f64 -1 (.f64 a c)) (.f64 a c))) (.f64 a c))))
5.0ms	c	@	inf	(/.f64 (-.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)) (.f64 (neg.f64 b_2) (neg.f64 b_2))) (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) (neg.f64 b_2)))
4.0ms	c	@	inf	(pow.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2)) -1)
4.0ms	a	@	inf	(pow.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2)) -1)

rewrite152.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

325×	`log1p-expm1-u`
325×	`expm1-log1p-u`
318×	`add-cube-cbrt`
317×	`add-exp-log`
317×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	41	555
1	764	423

Stop Event

1×	node limit

Counts

12 → 335

Calls

Call 1

Inputs
(/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2))
(pow.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2)) -1)
(/.f64 (.f64 -1/2 (.f64 a (/.f64 1 (/.f64 b_2 c)))) a)
(*.f64 a (/.f64 1 (/.f64 b_2 c)))
(/.f64 1 (/.f64 b_2 c))
(.f64 -1/2 (.f64 a (/.f64 1 (/.f64 b_2 c))))
(sqrt.f64 (-.f64 (.f64 2 (+.f64 (.f64 -1 (.f64 a c)) (.f64 a c))) (*.f64 a c)))
(+.f64 (.f64 -1 (.f64 a c)) (*.f64 a c))
(.f64 (/.f64 1 a) (sqrt.f64 (-.f64 (.f64 2 (+.f64 (.f64 -1 (.f64 a c)) (.f64 a c))) (.f64 a c))))
(-.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)) (.f64 (neg.f64 b_2) (neg.f64 b_2)))
(/.f64 (-.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)) (.f64 (neg.f64 b_2) (neg.f64 b_2))) (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) (neg.f64 b_2)))
(-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) (neg.f64 b_2))

Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 a (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)))) 1)
(-.f64 (/.f64 0 (neg.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2))) (/.f64 a (+.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2)))
(.f64 a (/.f64 1 (+.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2)))
(.f64 1 (/.f64 a (+.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 a (+.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2))) 2) (cbrt.f64 (/.f64 a (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2))))
(.f64 (sqrt.f64 (/.f64 a (+.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2))) (sqrt.f64 (/.f64 a (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2)) 2)) (/.f64 a (cbrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2))))
(.f64 (/.f64 1 (sqrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2))) (/.f64 a (sqrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) 1) (/.f64 (cbrt.f64 a) (+.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2)))
(.f64 (/.f64 (sqrt.f64 a) 1) (/.f64 (sqrt.f64 a) (+.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2)) 2)) (cbrt.f64 (/.f64 a (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (sqrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2))) (/.f64 (cbrt.f64 a) (sqrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2))))
(.f64 (/.f64 (sqrt.f64 a) (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2)) 2)) (/.f64 (sqrt.f64 a) (cbrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2))))
(pow.f64 (/.f64 a (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)) 1)
(pow.f64 (cbrt.f64 (/.f64 a (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2))) 3)
(pow.f64 (pow.f64 (/.f64 a (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 a (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2))) 2)
(pow.f64 (/.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) a) -1)
(sqrt.f64 (pow.f64 (/.f64 a (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)) 2))
(log.f64 (exp.f64 (/.f64 a (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 a (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)))))
(cbrt.f64 (pow.f64 (/.f64 a (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)) 3))
(cbrt.f64 (/.f64 (pow.f64 a 3) (pow.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) 3)))
(expm1.f64 (log1p.f64 (/.f64 a (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2))))
(exp.f64 (log.f64 (/.f64 a (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2))))
(exp.f64 (.f64 (log.f64 (/.f64 a (+.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2))) 1))
(log1p.f64 (expm1.f64 (/.f64 a (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (/.f64 a (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2))))) 1)
(.f64 1 (/.f64 1 (/.f64 a (+.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2))))
(.f64 (/.f64 -1 a) (pow.f64 (/.f64 1 (+.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2)) -1))
(.f64 (cbrt.f64 (pow.f64 (/.f64 a (+.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2)) -2)) (/.f64 1 (cbrt.f64 (/.f64 a (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)))))
(.f64 (pow.f64 (/.f64 a (+.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2)) -1/2) (pow.f64 (/.f64 a (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)) -1/2))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 a (+.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 a (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2))) -1))
(.f64 (pow.f64 (sqrt.f64 (/.f64 a (+.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2))) -1) (pow.f64 (sqrt.f64 (/.f64 a (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2))) -1))
(/.f64 -1 (neg.f64 (/.f64 a (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2))))
(/.f64 1 (/.f64 a (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)))
(sqrt.f64 (pow.f64 (/.f64 a (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)) -2))
(log.f64 (exp.f64 (/.f64 1 (/.f64 a (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (/.f64 a (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2))))))
(cbrt.f64 (pow.f64 (/.f64 1 (/.f64 a (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (/.f64 a (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)))))
(exp.f64 (neg.f64 (log.f64 (/.f64 a (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)))))
(exp.f64 (.f64 (neg.f64 (log.f64 (/.f64 a (+.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2)))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (/.f64 a (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (/.f64 (/.f64 a (/.f64 b_2 c)) a)))) 1)
(*.f64 -1/2 (/.f64 (/.f64 a (/.f64 b_2 c)) a))
(.f64 1 (.f64 -1/2 (/.f64 (/.f64 a (/.f64 b_2 c)) a)))
(.f64 (.f64 -1/2 (/.f64 a (/.f64 b_2 c))) (/.f64 -1 a))
(.f64 (pow.f64 (cbrt.f64 (.f64 -1/2 (/.f64 (/.f64 a (/.f64 b_2 c)) a))) 2) (cbrt.f64 (*.f64 -1/2 (/.f64 (/.f64 a (/.f64 b_2 c)) a))))
(.f64 (pow.f64 a -1/2) (/.f64 (.f64 -1/2 (/.f64 a (/.f64 b_2 c))) (sqrt.f64 a)))
(.f64 (sqrt.f64 (.f64 -1/2 (/.f64 (/.f64 a (/.f64 b_2 c)) a))) (sqrt.f64 (*.f64 -1/2 (/.f64 (/.f64 a (/.f64 b_2 c)) a))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 (.f64 -1/2 (/.f64 a (/.f64 b_2 c))) (cbrt.f64 a)))
(*.f64 (/.f64 -1/2 (pow.f64 (cbrt.f64 a) 2)) (/.f64 (/.f64 a (/.f64 b_2 c)) (cbrt.f64 a)))
(*.f64 (/.f64 -1/2 (sqrt.f64 a)) (/.f64 (/.f64 a (/.f64 b_2 c)) (sqrt.f64 a)))
(*.f64 (/.f64 (/.f64 a (/.f64 b_2 c)) (sqrt.f64 a)) (/.f64 -1/2 (sqrt.f64 a)))
(*.f64 (/.f64 (/.f64 a (/.f64 b_2 c)) 1) (/.f64 -1/2 a))
(*.f64 (/.f64 (/.f64 a (/.f64 b_2 c)) (pow.f64 (cbrt.f64 a) 2)) (/.f64 -1/2 (cbrt.f64 a)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 -1/2 (/.f64 a (/.f64 b_2 c)))) 2) 1) (/.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))) a))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 -1/2 (/.f64 a (/.f64 b_2 c)))) 2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 (*.f64 -1/2 (/.f64 (/.f64 a (/.f64 b_2 c)) a))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 -1/2 (/.f64 a (/.f64 b_2 c)))) 2) (sqrt.f64 a)) (/.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))) (sqrt.f64 a)))
(.f64 (/.f64 (sqrt.f64 (.f64 -1/2 (/.f64 a (/.f64 b_2 c)))) 1) (/.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))) a))
(.f64 (/.f64 (sqrt.f64 (.f64 -1/2 (/.f64 a (/.f64 b_2 c)))) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))) (cbrt.f64 a)))
(.f64 (/.f64 (.f64 -1/2 a) 1) (/.f64 (*.f64 (/.f64 -1 b_2) c) a))
(.f64 (/.f64 (.f64 -1/2 a) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (*.f64 (/.f64 -1 b_2) c) (cbrt.f64 a)))
(.f64 (/.f64 (.f64 -1/2 a) (sqrt.f64 a)) (/.f64 (*.f64 (/.f64 -1 b_2) c) (sqrt.f64 a)))
(pow.f64 (*.f64 -1/2 (/.f64 (/.f64 a (/.f64 b_2 c)) a)) 1)
(pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 (/.f64 a (/.f64 b_2 c)) a))) 3)
(pow.f64 (pow.f64 (*.f64 -1/2 (/.f64 (/.f64 a (/.f64 b_2 c)) a)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 (/.f64 a (/.f64 b_2 c)) a))) 2)
(pow.f64 (*.f64 -2 (/.f64 a (/.f64 a (/.f64 b_2 c)))) -1)
(sqrt.f64 (pow.f64 (*.f64 -1/2 (/.f64 (/.f64 a (/.f64 b_2 c)) a)) 2))
(log.f64 (exp.f64 (*.f64 -1/2 (/.f64 (/.f64 a (/.f64 b_2 c)) a))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 (/.f64 (/.f64 a (/.f64 b_2 c)) a)))))
(cbrt.f64 (pow.f64 (*.f64 -1/2 (/.f64 (/.f64 a (/.f64 b_2 c)) a)) 3))
(cbrt.f64 (.f64 (pow.f64 (.f64 -1/2 (/.f64 a (/.f64 b_2 c))) 3) (pow.f64 (/.f64 -1 a) 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 -1/2 (/.f64 a (/.f64 b_2 c))) 3) (pow.f64 a 3)))
(expm1.f64 (log1p.f64 (*.f64 -1/2 (/.f64 (/.f64 a (/.f64 b_2 c)) a))))
(exp.f64 (log.f64 (*.f64 -1/2 (/.f64 (/.f64 a (/.f64 b_2 c)) a))))
(exp.f64 (.f64 (log.f64 (.f64 -1/2 (/.f64 (/.f64 a (/.f64 b_2 c)) a))) 1))
(log1p.f64 (expm1.f64 (*.f64 -1/2 (/.f64 (/.f64 a (/.f64 b_2 c)) a))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 a (/.f64 b_2 c)))) 1)
(/.f64 a (/.f64 b_2 c))
(/.f64 a (neg.f64 (/.f64 b_2 c)))
(/.f64 (*.f64 a 1) (/.f64 b_2 c))
(/.f64 (neg.f64 (*.f64 a 1)) (neg.f64 (/.f64 b_2 c)))
(pow.f64 (/.f64 a (/.f64 b_2 c)) 1)
(pow.f64 (cbrt.f64 (/.f64 a (/.f64 b_2 c))) 3)
(pow.f64 (pow.f64 (/.f64 a (/.f64 b_2 c)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 a (/.f64 b_2 c))) 2)
(sqrt.f64 (pow.f64 (/.f64 a (/.f64 b_2 c)) 2))
(log.f64 (exp.f64 (/.f64 a (/.f64 b_2 c))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 a (/.f64 b_2 c)))))
(cbrt.f64 (pow.f64 (/.f64 a (/.f64 b_2 c)) 3))
(cbrt.f64 (.f64 (pow.f64 a 3) (pow.f64 (.f64 (/.f64 -1 b_2) c) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 (/.f64 -1 b_2) c) 3) (pow.f64 a 3)))
(cbrt.f64 (/.f64 (pow.f64 a 3) (pow.f64 (/.f64 b_2 c) 3)))
(expm1.f64 (log1p.f64 (/.f64 a (/.f64 b_2 c))))
(exp.f64 (log.f64 (/.f64 a (/.f64 b_2 c))))
(exp.f64 (*.f64 (log.f64 (/.f64 a (/.f64 b_2 c))) 1))
(log1p.f64 (expm1.f64 (/.f64 a (/.f64 b_2 c))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 -1 b_2) c))) 1)
(.f64 1 (.f64 (/.f64 -1 b_2) c))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 b_2 c) -2)) (/.f64 1 (cbrt.f64 (/.f64 b_2 c))))
(*.f64 (pow.f64 (/.f64 b_2 c) -1/2) (pow.f64 (/.f64 b_2 c) -1/2))
(*.f64 (/.f64 -1 b_2) c)
(*.f64 (/.f64 -1 b_2) (pow.f64 (/.f64 1 c) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 b_2 c)) 2) -1) (pow.f64 (cbrt.f64 (/.f64 b_2 c)) -1))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 b_2 c)) -1) (pow.f64 (sqrt.f64 (/.f64 b_2 c)) -1))
(pow.f64 (/.f64 b_2 c) -1)
(pow.f64 (*.f64 (/.f64 -1 b_2) c) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (/.f64 b_2 c))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 -1 b_2) c) 3) 1/3)
(pow.f64 (pow.f64 (/.f64 b_2 c) -1/2) 2)
(pow.f64 (/.f64 (/.f64 b_2 c) 1) -1)
(sqrt.f64 (pow.f64 (/.f64 b_2 c) -2))
(log.f64 (exp.f64 (*.f64 (/.f64 -1 b_2) c)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 -1 b_2) c))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 -1 b_2) c) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 -1 b_2) c)))
(exp.f64 (neg.f64 (log.f64 (/.f64 b_2 c))))
(exp.f64 (*.f64 (log.f64 (/.f64 b_2 c)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (/.f64 b_2 c))) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 -1 b_2) c)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (/.f64 a (/.f64 b_2 c))))) 1)
(pow.f64 (*.f64 -1/2 (/.f64 a (/.f64 b_2 c))) 1)
(pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))) 3)
(pow.f64 (pow.f64 (*.f64 -1/2 (/.f64 a (/.f64 b_2 c))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))) 2)
(sqrt.f64 (pow.f64 (*.f64 -1/2 (/.f64 a (/.f64 b_2 c))) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 a (/.f64 b_2 c))) -1/2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 (/.f64 a (/.f64 b_2 c))))))
(cbrt.f64 (pow.f64 (*.f64 -1/2 (/.f64 a (/.f64 b_2 c))) 3))
(expm1.f64 (log1p.f64 (*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))))
(exp.f64 (log.f64 (*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))))
(exp.f64 (.f64 (log.f64 (.f64 -1/2 (/.f64 a (/.f64 b_2 c)))) 1))
(log1p.f64 (expm1.f64 (*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 2 (.f64 0 (.f64 a c)) (*.f64 a c))))) 1)
(.f64 1 (sqrt.f64 (fma.f64 2 (.f64 0 (.f64 a c)) (.f64 a c))))
(.f64 (cbrt.f64 (fma.f64 2 (.f64 0 (.f64 a c)) (.f64 a c))) (cbrt.f64 (sqrt.f64 (fma.f64 2 (.f64 0 (.f64 a c)) (*.f64 a c)))))
(.f64 (pow.f64 (fma.f64 2 (.f64 0 (.f64 a c)) (.f64 a c)) 1/4) (pow.f64 (fma.f64 2 (.f64 0 (.f64 a c)) (*.f64 a c)) 1/4))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 2 (.f64 0 (.f64 a c)) (.f64 a c))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (.f64 0 (.f64 a c)) (.f64 a c))) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 2 (.f64 0 (.f64 a c)) (*.f64 a c))) 1/2))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (.f64 0 (.f64 a c)) (.f64 a c))) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 2 (.f64 0 (.f64 a c)) (*.f64 a c)))))
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(.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 a c (pow.f64 b_2 2)))) (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2)) 2)) (/.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 a c (pow.f64 b_2 2)))) (cbrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2))))
(pow.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) 1)
(pow.f64 (cbrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)) 3)
(pow.f64 (pow.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)) 2)
(pow.f64 (/.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) (-.f64 (pow.f64 b_2 2) (fma.f64 a c (pow.f64 b_2 2)))) -1)
(sqrt.f64 (pow.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) 2))
(log.f64 (exp.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2))))
(cbrt.f64 (pow.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 a c (pow.f64 b_2 2))) 3) (pow.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) 3)))
(expm1.f64 (log1p.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)))
(exp.f64 (log.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)))
(exp.f64 (.f64 (log.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2)) 1))
(log1p.f64 (expm1.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)))
(fma.f64 1 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)
(fma.f64 (cbrt.f64 (fma.f64 b_2 b_2 (.f64 a c))) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c)))) b_2)
(fma.f64 (sqrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c)))) (sqrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c)))) b_2)
(+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)
(+.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) (fma.f64 (neg.f64 (sqrt.f64 b_2)) (sqrt.f64 b_2) b_2))
(+.f64 (fma.f64 1 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) (neg.f64 (.f64 b_2 1))) (fma.f64 b_2 1 (*.f64 b_2 1)))
(+.f64 (fma.f64 (cbrt.f64 (fma.f64 b_2 b_2 (.f64 a c))) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c)))) (neg.f64 (.f64 (cbrt.f64 b_2) (cbrt.f64 (pow.f64 b_2 2))))) (fma.f64 (neg.f64 (cbrt.f64 b_2)) (cbrt.f64 (pow.f64 b_2 2)) (.f64 (cbrt.f64 b_2) (cbrt.f64 (pow.f64 b_2 2)))))
(+.f64 (fma.f64 (sqrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c)))) (sqrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c)))) (neg.f64 (.f64 b_2 1))) (fma.f64 b_2 1 (.f64 b_2 1)))
(+.f64 (fma.f64 1 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) (neg.f64 (.f64 b_2 -1))) (fma.f64 b_2 -1 (*.f64 b_2 -1)))
(+.f64 (fma.f64 1 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) (neg.f64 (.f64 (cbrt.f64 b_2) (cbrt.f64 (pow.f64 b_2 2))))) (fma.f64 (neg.f64 (cbrt.f64 b_2)) (cbrt.f64 (pow.f64 b_2 2)) (*.f64 (cbrt.f64 b_2) (cbrt.f64 (pow.f64 b_2 2)))))
(+.f64 (fma.f64 (cbrt.f64 (fma.f64 b_2 b_2 (.f64 a c))) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c)))) (neg.f64 (.f64 b_2 -1))) (fma.f64 b_2 -1 (.f64 b_2 -1)))
(+.f64 (fma.f64 (cbrt.f64 (fma.f64 b_2 b_2 (.f64 a c))) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c)))) (neg.f64 (.f64 b_2 1))) (fma.f64 b_2 1 (.f64 b_2 1)))
(+.f64 (fma.f64 (sqrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c)))) (sqrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c)))) (neg.f64 (.f64 b_2 -1))) (fma.f64 b_2 -1 (.f64 b_2 -1)))
(+.f64 (fma.f64 (sqrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c)))) (sqrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c)))) (neg.f64 (.f64 (cbrt.f64 b_2) (cbrt.f64 (pow.f64 b_2 2))))) (fma.f64 (neg.f64 (cbrt.f64 b_2)) (cbrt.f64 (pow.f64 b_2 2)) (.f64 (cbrt.f64 b_2) (cbrt.f64 (pow.f64 b_2 2)))))
(.f64 1 (+.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2))
(.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 a c (pow.f64 b_2 2))) (/.f64 1 (+.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2)))
(.f64 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2)) 2) (cbrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)))
(.f64 (sqrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2)) (sqrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2)) 2)) (/.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 a c (pow.f64 b_2 2))) (cbrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2))))
(.f64 (/.f64 1 (sqrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2))) (/.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 a c (pow.f64 b_2 2))) (sqrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 a c (pow.f64 b_2 2)))) 2) 1) (/.f64 (cbrt.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 a c (pow.f64 b_2 2)))) (+.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2)))
(.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 a c (pow.f64 b_2 2)))) 1) (/.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 a c (pow.f64 b_2 2)))) (+.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 a c (pow.f64 b_2 2)))) 2) (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2)) 2)) (cbrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 a c (pow.f64 b_2 2)))) 2) (sqrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2))) (/.f64 (cbrt.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 a c (pow.f64 b_2 2)))) (sqrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2))))
(.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 a c (pow.f64 b_2 2)))) (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2)) 2)) (/.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 a c (pow.f64 b_2 2)))) (cbrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2))))
(/.f64 -1 (neg.f64 (/.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) (-.f64 (pow.f64 b_2 2) (fma.f64 a c (pow.f64 b_2 2))))))
(/.f64 1 (/.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) (-.f64 (pow.f64 b_2 2) (fma.f64 a c (pow.f64 b_2 2)))))
(/.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 a c (pow.f64 b_2 2))) (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2))
(/.f64 (neg.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 a c (pow.f64 b_2 2)))) (neg.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)))
(/.f64 (-.f64 (pow.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) 3) (pow.f64 b_2 3)) (+.f64 (fma.f64 b_2 b_2 (.f64 a c)) (fma.f64 b_2 b_2 (.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2))))
(/.f64 (-.f64 (.f64 (fma.f64 b_2 b_2 (.f64 a c)) (+.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2)) (.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2) (pow.f64 b_2 2))) (pow.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2) 2))
(/.f64 (.f64 (-.f64 (pow.f64 (fma.f64 b_2 b_2 (.f64 a c)) 3) (pow.f64 b_2 6)) 1) (.f64 (+.f64 (pow.f64 (fma.f64 b_2 b_2 (.f64 a c)) 2) (+.f64 (pow.f64 b_2 4) (.f64 (fma.f64 b_2 b_2 (.f64 a c)) (pow.f64 b_2 2)))) (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)))
(/.f64 (.f64 (-.f64 (pow.f64 (fma.f64 b_2 b_2 (.f64 a c)) 2) (pow.f64 b_2 4)) 1) (.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 a c (pow.f64 b_2 2))) (+.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2)))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 a c (pow.f64 b_2 2))))) (neg.f64 (neg.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) 3) (pow.f64 b_2 3))) (neg.f64 (+.f64 (fma.f64 b_2 b_2 (.f64 a c)) (fma.f64 b_2 b_2 (.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2)))))
(pow.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) 1)
(pow.f64 (cbrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)) 3)
(pow.f64 (pow.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)) 2)
(pow.f64 (/.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) (-.f64 (pow.f64 b_2 2) (fma.f64 a c (pow.f64 b_2 2)))) -1)
(sqrt.f64 (pow.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) 2))
(log.f64 (exp.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2))))
(cbrt.f64 (pow.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 a c (pow.f64 b_2 2))) 3) (pow.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) 3)))
(expm1.f64 (log1p.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)))
(exp.f64 (log.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)))
(exp.f64 (.f64 (log.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2)) 1))
(log1p.f64 (expm1.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)))
(fma.f64 1 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)
(fma.f64 (cbrt.f64 (fma.f64 b_2 b_2 (.f64 a c))) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c)))) b_2)
(fma.f64 (sqrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c)))) (sqrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c)))) b_2)

simplify229.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

1532×	`times-frac`
1050×	`fma-def`
492×	`distribute-rgt-in`
474×	`distribute-lft-in`
472×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	991	27664
1	2801	24171

Stop Event

1×	node limit

Counts

579 → 576

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -1)))
(+.f64 (.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -1))) (/.f64 b_2 (.f64 c (pow.f64 (sqrt.f64 -1) 2))))
(+.f64 (.f64 -1 (.f64 (pow.f64 b_2 2) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 a (pow.f64 c 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 a (pow.f64 c 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))))) (+.f64 (.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -1))) (/.f64 b_2 (.f64 c (pow.f64 (sqrt.f64 -1) 2)))))
(+.f64 (.f64 -1 (.f64 (pow.f64 b_2 2) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 a (pow.f64 c 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 a (pow.f64 c 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 b_2 3) (+.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 a c))) (/.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 a (pow.f64 c 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 a (pow.f64 c 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (sqrt.f64 -1))) (.f64 1/2 (/.f64 1 (.f64 a (.f64 (pow.f64 c 2) (pow.f64 (sqrt.f64 -1) 4)))))))) (+.f64 (.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -1))) (/.f64 b_2 (*.f64 c (pow.f64 (sqrt.f64 -1) 2))))))
(.f64 2 (/.f64 b_2 (.f64 c (pow.f64 (sqrt.f64 -1) 2))))
(+.f64 (.f64 1/2 (/.f64 a b_2)) (.f64 2 (/.f64 b_2 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/8 (.f64 (pow.f64 a 2) (.f64 c (pow.f64 (sqrt.f64 -1) 2)))) (.f64 1/4 (.f64 (pow.f64 a 2) (.f64 c (pow.f64 (sqrt.f64 -1) 2))))) (pow.f64 b_2 3))) (+.f64 (.f64 1/2 (/.f64 a b_2)) (.f64 2 (/.f64 b_2 (.f64 c (pow.f64 (sqrt.f64 -1) 2))))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 a 4) (.f64 (pow.f64 c 4) (pow.f64 (sqrt.f64 -1) 8)))) (pow.f64 (.f64 -1/8 (.f64 (pow.f64 a 2) (.f64 (pow.f64 c 2) (pow.f64 (sqrt.f64 -1) 4)))) 2)) (.f64 a (.f64 (pow.f64 c 2) (pow.f64 (sqrt.f64 -1) 4))))) (+.f64 (.f64 1/16 (.f64 (pow.f64 a 3) (.f64 (pow.f64 c 2) (pow.f64 (sqrt.f64 -1) 4)))) (.f64 1/4 (.f64 a (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) (+.f64 (.f64 -1/8 (.f64 (pow.f64 a 2) (.f64 c (pow.f64 (sqrt.f64 -1) 2)))) (.f64 1/4 (.f64 (pow.f64 a 2) (.f64 c (pow.f64 (sqrt.f64 -1) 2))))))))))) (pow.f64 b_2 5))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/8 (.f64 (pow.f64 a 2) (.f64 c (pow.f64 (sqrt.f64 -1) 2)))) (.f64 1/4 (.f64 (pow.f64 a 2) (.f64 c (pow.f64 (sqrt.f64 -1) 2))))) (pow.f64 b_2 3))) (+.f64 (.f64 1/2 (/.f64 a b_2)) (.f64 2 (/.f64 b_2 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)))))))
(*.f64 -1/2 (/.f64 a b_2))
(+.f64 (.f64 -1/2 (/.f64 a b_2)) (.f64 1/8 (/.f64 (.f64 (pow.f64 a 2) (.f64 c (pow.f64 (sqrt.f64 -1) 2))) (pow.f64 b_2 3))))
(+.f64 (.f64 -1/2 (/.f64 a b_2)) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 a 3) (.f64 (pow.f64 c 2) (pow.f64 (sqrt.f64 -1) 4))) (pow.f64 b_2 5))) (.f64 1/8 (/.f64 (.f64 (pow.f64 a 2) (*.f64 c (pow.f64 (sqrt.f64 -1) 2))) (pow.f64 b_2 3)))))
(+.f64 (.f64 -1/2 (/.f64 a b_2)) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 a 3) (.f64 (pow.f64 c 2) (pow.f64 (sqrt.f64 -1) 4))) (pow.f64 b_2 5))) (+.f64 (.f64 1/128 (/.f64 (.f64 (pow.f64 a 4) (.f64 (pow.f64 c 3) (pow.f64 (sqrt.f64 -1) 6))) (pow.f64 b_2 7))) (+.f64 (.f64 1/32 (/.f64 (.f64 (pow.f64 a 4) (.f64 (pow.f64 c 3) (pow.f64 (sqrt.f64 -1) 6))) (pow.f64 b_2 7))) (.f64 1/8 (/.f64 (.f64 (pow.f64 a 2) (*.f64 c (pow.f64 (sqrt.f64 -1) 2))) (pow.f64 b_2 3)))))))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))
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(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2)) 2)) (/.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 a c (pow.f64 b_2 2))) (cbrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2))))
(.f64 (/.f64 1 (sqrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2))) (/.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 a c (pow.f64 b_2 2))) (sqrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 a c (pow.f64 b_2 2)))) 2) 1) (/.f64 (cbrt.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 a c (pow.f64 b_2 2)))) (+.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2)))
(.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 a c (pow.f64 b_2 2)))) 1) (/.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 a c (pow.f64 b_2 2)))) (+.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 a c (pow.f64 b_2 2)))) 2) (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2)) 2)) (cbrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 a c (pow.f64 b_2 2)))) 2) (sqrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2))) (/.f64 (cbrt.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 a c (pow.f64 b_2 2)))) (sqrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2))))
(.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 a c (pow.f64 b_2 2)))) (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2)) 2)) (/.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 a c (pow.f64 b_2 2)))) (cbrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2))))
(pow.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) 1)
(pow.f64 (cbrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)) 3)
(pow.f64 (pow.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)) 2)
(pow.f64 (/.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) (-.f64 (pow.f64 b_2 2) (fma.f64 a c (pow.f64 b_2 2)))) -1)
(sqrt.f64 (pow.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) 2))
(log.f64 (exp.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2))))
(cbrt.f64 (pow.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 a c (pow.f64 b_2 2))) 3) (pow.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) 3)))
(expm1.f64 (log1p.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)))
(exp.f64 (log.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)))
(exp.f64 (.f64 (log.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2)) 1))
(log1p.f64 (expm1.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)))
(fma.f64 1 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)
(fma.f64 (cbrt.f64 (fma.f64 b_2 b_2 (.f64 a c))) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c)))) b_2)
(fma.f64 (sqrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c)))) (sqrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c)))) b_2)
(+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)
(+.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) (fma.f64 (neg.f64 (sqrt.f64 b_2)) (sqrt.f64 b_2) b_2))
(+.f64 (fma.f64 1 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) (neg.f64 (.f64 b_2 1))) (fma.f64 b_2 1 (*.f64 b_2 1)))
(+.f64 (fma.f64 (cbrt.f64 (fma.f64 b_2 b_2 (.f64 a c))) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c)))) (neg.f64 (.f64 (cbrt.f64 b_2) (cbrt.f64 (pow.f64 b_2 2))))) (fma.f64 (neg.f64 (cbrt.f64 b_2)) (cbrt.f64 (pow.f64 b_2 2)) (.f64 (cbrt.f64 b_2) (cbrt.f64 (pow.f64 b_2 2)))))
(+.f64 (fma.f64 (sqrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c)))) (sqrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c)))) (neg.f64 (.f64 b_2 1))) (fma.f64 b_2 1 (.f64 b_2 1)))
(+.f64 (fma.f64 1 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) (neg.f64 (.f64 b_2 -1))) (fma.f64 b_2 -1 (*.f64 b_2 -1)))
(+.f64 (fma.f64 1 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) (neg.f64 (.f64 (cbrt.f64 b_2) (cbrt.f64 (pow.f64 b_2 2))))) (fma.f64 (neg.f64 (cbrt.f64 b_2)) (cbrt.f64 (pow.f64 b_2 2)) (*.f64 (cbrt.f64 b_2) (cbrt.f64 (pow.f64 b_2 2)))))
(+.f64 (fma.f64 (cbrt.f64 (fma.f64 b_2 b_2 (.f64 a c))) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c)))) (neg.f64 (.f64 b_2 -1))) (fma.f64 b_2 -1 (.f64 b_2 -1)))
(+.f64 (fma.f64 (cbrt.f64 (fma.f64 b_2 b_2 (.f64 a c))) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c)))) (neg.f64 (.f64 b_2 1))) (fma.f64 b_2 1 (.f64 b_2 1)))
(+.f64 (fma.f64 (sqrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c)))) (sqrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c)))) (neg.f64 (.f64 b_2 -1))) (fma.f64 b_2 -1 (.f64 b_2 -1)))
(+.f64 (fma.f64 (sqrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c)))) (sqrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c)))) (neg.f64 (.f64 (cbrt.f64 b_2) (cbrt.f64 (pow.f64 b_2 2))))) (fma.f64 (neg.f64 (cbrt.f64 b_2)) (cbrt.f64 (pow.f64 b_2 2)) (.f64 (cbrt.f64 b_2) (cbrt.f64 (pow.f64 b_2 2)))))
(.f64 1 (+.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2))
(.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 a c (pow.f64 b_2 2))) (/.f64 1 (+.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2)))
(.f64 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2)) 2) (cbrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)))
(.f64 (sqrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2)) (sqrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2)) 2)) (/.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 a c (pow.f64 b_2 2))) (cbrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2))))
(.f64 (/.f64 1 (sqrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2))) (/.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 a c (pow.f64 b_2 2))) (sqrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 a c (pow.f64 b_2 2)))) 2) 1) (/.f64 (cbrt.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 a c (pow.f64 b_2 2)))) (+.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2)))
(.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 a c (pow.f64 b_2 2)))) 1) (/.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 a c (pow.f64 b_2 2)))) (+.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 a c (pow.f64 b_2 2)))) 2) (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2)) 2)) (cbrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 a c (pow.f64 b_2 2)))) 2) (sqrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2))) (/.f64 (cbrt.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 a c (pow.f64 b_2 2)))) (sqrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2))))
(.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 a c (pow.f64 b_2 2)))) (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2)) 2)) (/.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 a c (pow.f64 b_2 2)))) (cbrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2))))
(/.f64 -1 (neg.f64 (/.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) (-.f64 (pow.f64 b_2 2) (fma.f64 a c (pow.f64 b_2 2))))))
(/.f64 1 (/.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) (-.f64 (pow.f64 b_2 2) (fma.f64 a c (pow.f64 b_2 2)))))
(/.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 a c (pow.f64 b_2 2))) (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2))
(/.f64 (neg.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 a c (pow.f64 b_2 2)))) (neg.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)))
(/.f64 (-.f64 (pow.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) 3) (pow.f64 b_2 3)) (+.f64 (fma.f64 b_2 b_2 (.f64 a c)) (fma.f64 b_2 b_2 (.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2))))
(/.f64 (-.f64 (.f64 (fma.f64 b_2 b_2 (.f64 a c)) (+.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2)) (.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2) (pow.f64 b_2 2))) (pow.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2) 2))
(/.f64 (.f64 (-.f64 (pow.f64 (fma.f64 b_2 b_2 (.f64 a c)) 3) (pow.f64 b_2 6)) 1) (.f64 (+.f64 (pow.f64 (fma.f64 b_2 b_2 (.f64 a c)) 2) (+.f64 (pow.f64 b_2 4) (.f64 (fma.f64 b_2 b_2 (.f64 a c)) (pow.f64 b_2 2)))) (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)))
(/.f64 (.f64 (-.f64 (pow.f64 (fma.f64 b_2 b_2 (.f64 a c)) 2) (pow.f64 b_2 4)) 1) (.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 a c (pow.f64 b_2 2))) (+.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2)))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 a c (pow.f64 b_2 2))))) (neg.f64 (neg.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) 3) (pow.f64 b_2 3))) (neg.f64 (+.f64 (fma.f64 b_2 b_2 (.f64 a c)) (fma.f64 b_2 b_2 (.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2)))))
(pow.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) 1)
(pow.f64 (cbrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)) 3)
(pow.f64 (pow.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)) 2)
(pow.f64 (/.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) (-.f64 (pow.f64 b_2 2) (fma.f64 a c (pow.f64 b_2 2)))) -1)
(sqrt.f64 (pow.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) 2))
(log.f64 (exp.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2))))
(cbrt.f64 (pow.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 a c (pow.f64 b_2 2))) 3) (pow.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) 3)))
(expm1.f64 (log1p.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)))
(exp.f64 (log.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)))
(exp.f64 (.f64 (log.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2)) 1))
(log1p.f64 (expm1.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)))
(fma.f64 1 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)
(fma.f64 (cbrt.f64 (fma.f64 b_2 b_2 (.f64 a c))) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c)))) b_2)
(fma.f64 (sqrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c)))) (sqrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c)))) b_2)

Outputs
(*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -1)))
(/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 -1))
(+.f64 (.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -1))) (/.f64 b_2 (.f64 c (pow.f64 (sqrt.f64 -1) 2))))
(fma.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -1)) (/.f64 b_2 (*.f64 c (pow.f64 (sqrt.f64 -1) 2))))
(+.f64 (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 -1)) (/.f64 (neg.f64 b_2) c))
(+.f64 (.f64 -1 (.f64 (pow.f64 b_2 2) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 a (pow.f64 c 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 a (pow.f64 c 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))))) (+.f64 (.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -1))) (/.f64 b_2 (.f64 c (pow.f64 (sqrt.f64 -1) 2)))))
(fma.f64 -1 (.f64 (pow.f64 b_2 2) (.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 a (pow.f64 c 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) -1/2)) (fma.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -1)) (/.f64 b_2 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)))))
(+.f64 (fma.f64 (neg.f64 (pow.f64 b_2 2)) (.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 (/.f64 1 a) (pow.f64 c 3))) (sqrt.f64 -1)) -1) -1/2) (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 -1))) (/.f64 (neg.f64 b_2) c))
(+.f64 (.f64 -1 (.f64 (pow.f64 b_2 2) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 a (pow.f64 c 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 a (pow.f64 c 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 b_2 3) (+.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 a c))) (/.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 a (pow.f64 c 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 a (pow.f64 c 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (sqrt.f64 -1))) (.f64 1/2 (/.f64 1 (.f64 a (.f64 (pow.f64 c 2) (pow.f64 (sqrt.f64 -1) 4)))))))) (+.f64 (.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -1))) (/.f64 b_2 (*.f64 c (pow.f64 (sqrt.f64 -1) 2))))))
(fma.f64 -1 (.f64 (pow.f64 b_2 2) (.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 a (pow.f64 c 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) -1/2)) (fma.f64 -1 (.f64 (pow.f64 b_2 3) (fma.f64 (sqrt.f64 (/.f64 (/.f64 1 a) c)) (/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 a (pow.f64 c 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) -1/2) (sqrt.f64 -1)) (/.f64 1/2 (.f64 a (.f64 (pow.f64 c 2) (pow.f64 (sqrt.f64 -1) 4)))))) (fma.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -1)) (/.f64 b_2 (*.f64 c (pow.f64 (sqrt.f64 -1) 2))))))
(-.f64 (+.f64 (fma.f64 (neg.f64 (pow.f64 b_2 3)) (fma.f64 (sqrt.f64 (/.f64 1 (.f64 a c))) (/.f64 (.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 (/.f64 1 a) (pow.f64 c 3))) (sqrt.f64 -1)) -1) -1/2) (sqrt.f64 -1)) (/.f64 1/2 (.f64 a (.f64 1 (pow.f64 c 2))))) (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 -1))) (/.f64 (neg.f64 b_2) c)) (.f64 (pow.f64 b_2 2) (.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 (/.f64 1 a) (pow.f64 c 3))) (sqrt.f64 -1)) -1) -1/2)))
(.f64 2 (/.f64 b_2 (.f64 c (pow.f64 (sqrt.f64 -1) 2))))
(*.f64 -2 (/.f64 b_2 c))
(+.f64 (.f64 1/2 (/.f64 a b_2)) (.f64 2 (/.f64 b_2 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)))))
(fma.f64 1/2 (/.f64 a b_2) (.f64 2 (/.f64 b_2 (.f64 c (pow.f64 (sqrt.f64 -1) 2)))))
(fma.f64 1/2 (/.f64 a b_2) (*.f64 -2 (/.f64 b_2 c)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/8 (.f64 (pow.f64 a 2) (.f64 c (pow.f64 (sqrt.f64 -1) 2)))) (.f64 1/4 (.f64 (pow.f64 a 2) (.f64 c (pow.f64 (sqrt.f64 -1) 2))))) (pow.f64 b_2 3))) (+.f64 (.f64 1/2 (/.f64 a b_2)) (.f64 2 (/.f64 b_2 (.f64 c (pow.f64 (sqrt.f64 -1) 2))))))
(fma.f64 -1 (/.f64 (.f64 (.f64 (.f64 (pow.f64 a 2) c) (pow.f64 (sqrt.f64 -1) 2)) 1/8) (pow.f64 b_2 3)) (fma.f64 1/2 (/.f64 a b_2) (.f64 2 (/.f64 b_2 (*.f64 c (pow.f64 (sqrt.f64 -1) 2))))))
(-.f64 (fma.f64 1/2 (/.f64 a b_2) (.f64 -2 (/.f64 b_2 c))) (/.f64 (.f64 (*.f64 (neg.f64 c) (pow.f64 a 2)) 1/8) (pow.f64 b_2 3)))
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(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 a c (pow.f64 b_2 2)))) 2) (sqrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2))) (/.f64 (cbrt.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 a c (pow.f64 b_2 2)))) (sqrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2))))
(/.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 a c (pow.f64 b_2 2))) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))
(.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 a c (pow.f64 b_2 2)))) (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2)) 2)) (/.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 a c (pow.f64 b_2 2)))) (cbrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2))))
(/.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 a c (pow.f64 b_2 2))) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))
(/.f64 -1 (neg.f64 (/.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) (-.f64 (pow.f64 b_2 2) (fma.f64 a c (pow.f64 b_2 2))))))
(/.f64 -1 (/.f64 (neg.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))) (-.f64 (pow.f64 b_2 2) (fma.f64 a c (pow.f64 b_2 2)))))
(/.f64 -1 (/.f64 (-.f64 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) b_2) (-.f64 (pow.f64 b_2 2) (fma.f64 a c (pow.f64 b_2 2)))))
(/.f64 1 (/.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) (-.f64 (pow.f64 b_2 2) (fma.f64 a c (pow.f64 b_2 2)))))
(/.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 a c (pow.f64 b_2 2))) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))
(/.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 a c (pow.f64 b_2 2))) (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2))
(/.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 a c (pow.f64 b_2 2))) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 a c (pow.f64 b_2 2)))) (neg.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)))
(/.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 a c (pow.f64 b_2 2))) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) 3) (pow.f64 b_2 3)) (+.f64 (fma.f64 b_2 b_2 (.f64 a c)) (fma.f64 b_2 b_2 (.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) 3) (pow.f64 b_2 3)) (+.f64 (fma.f64 b_2 b_2 (.f64 a c)) (fma.f64 b_2 b_2 (.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a c)))))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) 3) (pow.f64 b_2 3)) (+.f64 (+.f64 (.f64 2 (pow.f64 b_2 2)) (.f64 a c)) (.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))))
(/.f64 (-.f64 (.f64 (fma.f64 b_2 b_2 (.f64 a c)) (+.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2)) (.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2) (pow.f64 b_2 2))) (pow.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2) 2))
(/.f64 (-.f64 (.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a c)))) (fma.f64 b_2 b_2 (.f64 a c))) (.f64 (pow.f64 b_2 2) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a c)))))) (pow.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a c)))) 2))
(/.f64 (.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a c)))) (-.f64 (fma.f64 b_2 b_2 (.f64 a c)) (pow.f64 b_2 2))) (pow.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a c)))) 2))
(/.f64 (.f64 (-.f64 (pow.f64 (fma.f64 b_2 b_2 (.f64 a c)) 3) (pow.f64 b_2 6)) 1) (.f64 (+.f64 (pow.f64 (fma.f64 b_2 b_2 (.f64 a c)) 2) (+.f64 (pow.f64 b_2 4) (.f64 (fma.f64 b_2 b_2 (.f64 a c)) (pow.f64 b_2 2)))) (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)))
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 b_2 b_2 (.f64 a c)) 3) (pow.f64 b_2 6)) (+.f64 (pow.f64 (fma.f64 b_2 b_2 (.f64 a c)) 2) (+.f64 (pow.f64 b_2 4) (.f64 (pow.f64 b_2 2) (fma.f64 b_2 b_2 (.f64 a c)))))) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 b_2 b_2 (.f64 a c)) 3) (pow.f64 b_2 6)) (.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a c)))) (+.f64 (pow.f64 (fma.f64 b_2 b_2 (.f64 a c)) 2) (.f64 (pow.f64 b_2 2) (+.f64 (.f64 2 (pow.f64 b_2 2)) (*.f64 a c))))))
(/.f64 (.f64 (-.f64 (pow.f64 (fma.f64 b_2 b_2 (.f64 a c)) 2) (pow.f64 b_2 4)) 1) (.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 a c (pow.f64 b_2 2))) (+.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2)))
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 b_2 b_2 (.f64 a c)) 2) (pow.f64 b_2 4)) (-.f64 (pow.f64 b_2 2) (fma.f64 a c (pow.f64 b_2 2)))) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a c)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 a c (pow.f64 b_2 2))))) (neg.f64 (neg.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2))))
(/.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 a c (pow.f64 b_2 2))) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) 3) (pow.f64 b_2 3))) (neg.f64 (+.f64 (fma.f64 b_2 b_2 (.f64 a c)) (fma.f64 b_2 b_2 (.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) 3) (pow.f64 b_2 3))) (neg.f64 (+.f64 (fma.f64 b_2 b_2 (.f64 a c)) (fma.f64 b_2 b_2 (.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))))))))
(.f64 1 (/.f64 (-.f64 (pow.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) 3) (pow.f64 b_2 3)) (+.f64 (+.f64 (.f64 2 (pow.f64 b_2 2)) (.f64 a c)) (.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a c)))))))
(pow.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) 1)
(+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))
(pow.f64 (cbrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)) 3)
(+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))
(pow.f64 (pow.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) 3) 1/3)
(+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))
(pow.f64 (sqrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)) 2)
(+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))
(pow.f64 (/.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) (-.f64 (pow.f64 b_2 2) (fma.f64 a c (pow.f64 b_2 2)))) -1)
(/.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 a c (pow.f64 b_2 2))) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))
(sqrt.f64 (pow.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) 2))
(sqrt.f64 (pow.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) 2))
(fabs.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))
(log.f64 (exp.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)))
(+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2))))
(+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))
(cbrt.f64 (pow.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) 3))
(+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 a c (pow.f64 b_2 2))) 3) (pow.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) 3)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 a c (pow.f64 b_2 2))) 3) (pow.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) 3)))
(expm1.f64 (log1p.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)))
(+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))
(exp.f64 (log.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)))
(+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))
(exp.f64 (.f64 (log.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2)) 1))
(+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))
(log1p.f64 (expm1.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)))
(+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))
(fma.f64 1 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)
(+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))
(fma.f64 (cbrt.f64 (fma.f64 b_2 b_2 (.f64 a c))) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c)))) b_2)
(fma.f64 (sqrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c)))) (sqrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c)))) b_2)
(+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))

eval383.0ms (4.5%)

Compiler: Compiled 19391 to 10376 computations (46.5% saved)

prune200.0ms (2.4%)

Pruning

35 alts after pruning (31 fresh and 4 done)

	Pruned	Kept	Total
New	701	15	716
Fresh	7	16	23
Picked	3	2	5
Done	1	2	3
Total	712	35	747

Accuracy

98.5%

Counts

747 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	45.6%	(fma.f64 (cbrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) (/.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a))))) a) (/.f64 (neg.f64 b_2) a))
	31.9%	(pow.f64 (fma.f64 1/2 (/.f64 a b_2) (*.f64 -2 (/.f64 b_2 c))) -1)
	0.9%	(pow.f64 (pow.f64 (/.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) a) -1) -1)
	38.8%	(pow.f64 (/.f64 (*.f64 a -1/2) b_2) -1)
✓	53.5%	(pow.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2)) -1)
▶	53.0%	(pow.f64 (cbrt.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2) a)) 3)
	26.2%	(pow.f64 (cbrt.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) a)) 3)
	41.4%	(/.f64 (/.f64 (.f64 (neg.f64 a) c) (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) (neg.f64 b_2))) a)
	25.0%	(/.f64 (/.f64 -1/2 (/.f64 b_2 (*.f64 a c))) a)
	36.2%	(/.f64 (-.f64 (pow.f64 (pow.f64 (.f64 -1 (.f64 a c)) 1/4) 2) b_2) a)
	16.4%	(/.f64 (-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 c)) (.f64 -1 (log.f64 (/.f64 1 a)))))) 2) b_2) a)
	23.2%	(/.f64 (-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2) b_2) a)
✓	54.7%	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
	36.3%	(/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)
	50.4%	(/.f64 (-.f64 (exp.f64 (.f64 (log.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) 1/2)) b_2) a)
▶	0.9%	(/.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) a)
✓	32.1%	(/.f64 (*.f64 c -1/2) b_2)
✓	38.8%	(/.f64 (*.f64 b_2 -2) a)
	24.4%	(/.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) a)
	10.4%	(/.f64 (*.f64 -1/2 (/.f64 a (/.f64 (neg.f64 b_2) c))) a)
	27.1%	(/.f64 (*.f64 -1/2 (/.f64 a (/.f64 b_2 c))) a)
	24.4%	(/.f64 (.f64 -1/2 (.f64 (/.f64 a b_2) c)) a)
	10.2%	(/.f64 (.f64 -1/2 (.f64 (*.f64 a c) (/.f64 1 (neg.f64 b_2)))) a)
	10.4%	(/.f64 (.f64 -1/2 (.f64 a (*.f64 (/.f64 -1 b_2) c))) a)
	25.1%	(/.f64 (expm1.f64 (log1p.f64 (*.f64 -1/2 (/.f64 a (/.f64 b_2 c))))) a)
▶	31.7%	(/.f64 1 (*.f64 -2 (/.f64 b_2 c)))
	48.9%	(-.f64 (/.f64 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (cbrt.f64 a)) (/.f64 b_2 a))
▶	27.2%	(.f64 (/.f64 (.f64 a (/.f64 c b_2)) 1) (/.f64 -1/2 a))
▶	10.4%	(.f64 (/.f64 (.f64 -1/2 a) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (*.f64 (/.f64 -1 b_2) c) (cbrt.f64 a)))
	8.6%	(.f64 (/.f64 1 a) (/.f64 (sqrt.f64 (neg.f64 (pow.f64 (.f64 a c) 3))) (sqrt.f64 (pow.f64 (*.f64 a c) 2))))
	27.1%	(.f64 (/.f64 1 a) (sqrt.f64 (-.f64 (.f64 2 0) (*.f64 a c))))
	10.4%	(*.f64 (/.f64 -1/2 (/.f64 (pow.f64 (cbrt.f64 a) 2) a)) (/.f64 (/.f64 (neg.f64 c) b_2) (cbrt.f64 a)))
	11.1%	(.f64 (.f64 a -1/2) (/.f64 (/.f64 (neg.f64 c) b_2) a))
	25.1%	(.f64 1/2 (/.f64 (.f64 c (-.f64 (.f64 2 (+.f64 a (.f64 -1 a))) a)) (*.f64 a b_2)))
	25.1%	(exp.f64 (log.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2) a)))
	45.6%	(fma.f64 (cbrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) (/.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a))))) a) (/.f64 (neg.f64 b_2) a))
	31.9%	(pow.f64 (fma.f64 1/2 (/.f64 a b_2) (*.f64 -2 (/.f64 b_2 c))) -1)
	0.9%	(pow.f64 (pow.f64 (/.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) a) -1) -1)
	38.8%	(pow.f64 (/.f64 (*.f64 a -1/2) b_2) -1)
✓	53.5%	(pow.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2)) -1)
▶	53.0%	(pow.f64 (cbrt.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2) a)) 3)
	26.2%	(pow.f64 (cbrt.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) a)) 3)
	41.4%	(/.f64 (/.f64 (.f64 (neg.f64 a) c) (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) (neg.f64 b_2))) a)
	25.0%	(/.f64 (/.f64 -1/2 (/.f64 b_2 (*.f64 a c))) a)
	36.2%	(/.f64 (-.f64 (pow.f64 (pow.f64 (.f64 -1 (.f64 a c)) 1/4) 2) b_2) a)
	16.4%	(/.f64 (-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 c)) (.f64 -1 (log.f64 (/.f64 1 a)))))) 2) b_2) a)
	23.2%	(/.f64 (-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2) b_2) a)
✓	54.7%	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
	36.3%	(/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)
	50.4%	(/.f64 (-.f64 (exp.f64 (.f64 (log.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) 1/2)) b_2) a)
▶	0.9%	(/.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) a)
✓	32.1%	(/.f64 (*.f64 c -1/2) b_2)
✓	38.8%	(/.f64 (*.f64 b_2 -2) a)
	24.4%	(/.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) a)
	10.4%	(/.f64 (*.f64 -1/2 (/.f64 a (/.f64 (neg.f64 b_2) c))) a)
	27.1%	(/.f64 (*.f64 -1/2 (/.f64 a (/.f64 b_2 c))) a)
	24.4%	(/.f64 (.f64 -1/2 (.f64 (/.f64 a b_2) c)) a)
	10.2%	(/.f64 (.f64 -1/2 (.f64 (*.f64 a c) (/.f64 1 (neg.f64 b_2)))) a)
	10.4%	(/.f64 (.f64 -1/2 (.f64 a (*.f64 (/.f64 -1 b_2) c))) a)
	25.1%	(/.f64 (expm1.f64 (log1p.f64 (*.f64 -1/2 (/.f64 a (/.f64 b_2 c))))) a)
▶	31.7%	(/.f64 1 (*.f64 -2 (/.f64 b_2 c)))
	48.9%	(-.f64 (/.f64 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (cbrt.f64 a)) (/.f64 b_2 a))
▶	27.2%	(.f64 (/.f64 (.f64 a (/.f64 c b_2)) 1) (/.f64 -1/2 a))
▶	10.4%	(.f64 (/.f64 (.f64 -1/2 a) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (*.f64 (/.f64 -1 b_2) c) (cbrt.f64 a)))
	8.6%	(.f64 (/.f64 1 a) (/.f64 (sqrt.f64 (neg.f64 (pow.f64 (.f64 a c) 3))) (sqrt.f64 (pow.f64 (*.f64 a c) 2))))
	27.1%	(.f64 (/.f64 1 a) (sqrt.f64 (-.f64 (.f64 2 0) (*.f64 a c))))
	10.4%	(*.f64 (/.f64 -1/2 (/.f64 (pow.f64 (cbrt.f64 a) 2) a)) (/.f64 (/.f64 (neg.f64 c) b_2) (cbrt.f64 a)))
	11.1%	(.f64 (.f64 a -1/2) (/.f64 (/.f64 (neg.f64 c) b_2) a))
	25.1%	(.f64 1/2 (/.f64 (.f64 c (-.f64 (.f64 2 (+.f64 a (.f64 -1 a))) a)) (*.f64 a b_2)))
	25.1%	(exp.f64 (log.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2) a)))

Compiler

Compiled 2094 to 1480 computations (29.3% saved)

localize170.0ms (2%)

Compiler: Compiled 215 to 73 computations (66% saved)

eval0.0ms (0%)

Compiler: Compiled 3 to 3 computations (0% saved)

prune30.0ms (0.4%)

Pruning

35 alts after pruning (26 fresh and 9 done)

	Kept	Total
New	0	0
Fresh	26	26
Picked	5	5
Done	4	4
Total	35	35

Accuracy

98.5%

Counts

35 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	45.6%	(fma.f64 (cbrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) (/.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a))))) a) (/.f64 (neg.f64 b_2) a))
	31.9%	(pow.f64 (fma.f64 1/2 (/.f64 a b_2) (*.f64 -2 (/.f64 b_2 c))) -1)
	0.9%	(pow.f64 (pow.f64 (/.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) a) -1) -1)
	38.8%	(pow.f64 (/.f64 (*.f64 a -1/2) b_2) -1)
✓	53.5%	(pow.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2)) -1)
✓	53.0%	(pow.f64 (cbrt.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2) a)) 3)
	26.2%	(pow.f64 (cbrt.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) a)) 3)
	41.4%	(/.f64 (/.f64 (.f64 (neg.f64 a) c) (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) (neg.f64 b_2))) a)
	25.0%	(/.f64 (/.f64 -1/2 (/.f64 b_2 (*.f64 a c))) a)
	36.2%	(/.f64 (-.f64 (pow.f64 (pow.f64 (.f64 -1 (.f64 a c)) 1/4) 2) b_2) a)
	16.4%	(/.f64 (-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 c)) (.f64 -1 (log.f64 (/.f64 1 a)))))) 2) b_2) a)
	23.2%	(/.f64 (-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2) b_2) a)
✓	54.7%	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
	36.3%	(/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)
	50.4%	(/.f64 (-.f64 (exp.f64 (.f64 (log.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) 1/2)) b_2) a)
✓	0.9%	(/.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) a)
✓	32.1%	(/.f64 (*.f64 c -1/2) b_2)
✓	38.8%	(/.f64 (*.f64 b_2 -2) a)
	24.4%	(/.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) a)
	10.4%	(/.f64 (*.f64 -1/2 (/.f64 a (/.f64 (neg.f64 b_2) c))) a)
	27.1%	(/.f64 (*.f64 -1/2 (/.f64 a (/.f64 b_2 c))) a)
	24.4%	(/.f64 (.f64 -1/2 (.f64 (/.f64 a b_2) c)) a)
	10.2%	(/.f64 (.f64 -1/2 (.f64 (*.f64 a c) (/.f64 1 (neg.f64 b_2)))) a)
	10.4%	(/.f64 (.f64 -1/2 (.f64 a (*.f64 (/.f64 -1 b_2) c))) a)
	25.1%	(/.f64 (expm1.f64 (log1p.f64 (*.f64 -1/2 (/.f64 a (/.f64 b_2 c))))) a)
✓	31.7%	(/.f64 1 (*.f64 -2 (/.f64 b_2 c)))
	48.9%	(-.f64 (/.f64 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (cbrt.f64 a)) (/.f64 b_2 a))
✓	27.2%	(.f64 (/.f64 (.f64 a (/.f64 c b_2)) 1) (/.f64 -1/2 a))
✓	10.4%	(.f64 (/.f64 (.f64 -1/2 a) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (*.f64 (/.f64 -1 b_2) c) (cbrt.f64 a)))
	8.6%	(.f64 (/.f64 1 a) (/.f64 (sqrt.f64 (neg.f64 (pow.f64 (.f64 a c) 3))) (sqrt.f64 (pow.f64 (*.f64 a c) 2))))
	27.1%	(.f64 (/.f64 1 a) (sqrt.f64 (-.f64 (.f64 2 0) (*.f64 a c))))
	10.4%	(*.f64 (/.f64 -1/2 (/.f64 (pow.f64 (cbrt.f64 a) 2) a)) (/.f64 (/.f64 (neg.f64 c) b_2) (cbrt.f64 a)))
	11.1%	(.f64 (.f64 a -1/2) (/.f64 (/.f64 (neg.f64 c) b_2) a))
	25.1%	(.f64 1/2 (/.f64 (.f64 c (-.f64 (.f64 2 (+.f64 a (.f64 -1 a))) a)) (*.f64 a b_2)))
	25.1%	(exp.f64 (log.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2) a)))

Compiler

Compiled 1209 to 707 computations (41.5% saved)

regimes729.0ms (8.6%)

Counts

50 → 3

Calls

Call 1

Inputs
(/.f64 (*.f64 b_2 -2) a)
(/.f64 (*.f64 c -1/2) b_2)
(/.f64 1 (*.f64 -2 (/.f64 b_2 c)))
(/.f64 (.f64 -1/2 (.f64 (/.f64 a b_2) c)) a)
(/.f64 (*.f64 -1/2 (/.f64 a (/.f64 b_2 c))) a)
(/.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) a)
(/.f64 (.f64 -1/2 (/.f64 (.f64 a c) b_2)) a)
(/.f64 (/.f64 -1/2 (/.f64 b_2 (*.f64 a c))) a)
(.f64 (.f64 a -1/2) (/.f64 (/.f64 (neg.f64 c) b_2) a))
(/.f64 (*.f64 -1/2 (/.f64 a (/.f64 (neg.f64 b_2) c))) a)
(.f64 (/.f64 (.f64 a (/.f64 c b_2)) 1) (/.f64 -1/2 a))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(/.f64 (.f64 -1/2 (.f64 a (*.f64 (/.f64 -1 b_2) c))) a)
(/.f64 (.f64 -1/2 (.f64 a (/.f64 1 (/.f64 b_2 c)))) a)
(/.f64 (.f64 -1/2 (.f64 (/.f64 c 1) (/.f64 a b_2))) a)
(/.f64 (.f64 -1/2 (.f64 (*.f64 a c) (/.f64 1 (neg.f64 b_2)))) a)
(.f64 1/2 (/.f64 (.f64 c (-.f64 (.f64 2 (+.f64 a (.f64 -1 a))) a)) (*.f64 a b_2)))
(pow.f64 (/.f64 (*.f64 a -1/2) b_2) -1)
(/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)
(.f64 (/.f64 1 a) (sqrt.f64 (-.f64 (.f64 2 0) (*.f64 a c))))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
(/.f64 (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) (*.f64 b_2 -2)) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
(.f64 (/.f64 1 a) (sqrt.f64 (-.f64 (.f64 2 (+.f64 (.f64 -1 (.f64 a c)) (.f64 a c))) (.f64 a c))))
(/.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) a)
(/.f64 (expm1.f64 (log1p.f64 (.f64 -1/2 (.f64 a (/.f64 c b_2))))) a)
(/.f64 (expm1.f64 (log1p.f64 (*.f64 -1/2 (/.f64 a (/.f64 b_2 c))))) a)
(cbrt.f64 (pow.f64 (.f64 -1/2 (/.f64 (.f64 a (/.f64 c b_2)) a)) 3))
(pow.f64 (fma.f64 1/2 (/.f64 a b_2) (*.f64 -2 (/.f64 b_2 c))) -1)
(.f64 (/.f64 1 a) (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) b_2))
(/.f64 (-.f64 (pow.f64 (pow.f64 (.f64 -1 (.f64 a c)) 1/4) 2) b_2) a)
(/.f64 (/.f64 (.f64 (neg.f64 a) c) (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) (neg.f64 b_2))) a)
(pow.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2)) -1)
(/.f64 (-.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c)) 3/2)) b_2) a)
(/.f64 (-.f64 (exp.f64 (.f64 (log.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) 1/2)) b_2) a)
(/.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c)) 1/4) 2) b_2) a)
(*.f64 (/.f64 -1/2 (/.f64 (pow.f64 (cbrt.f64 a) 2) a)) (/.f64 (/.f64 (neg.f64 c) b_2) (cbrt.f64 a)))
(.f64 (/.f64 (.f64 -1/2 a) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (*.f64 (/.f64 -1 b_2) c) (cbrt.f64 a)))
(/.f64 (-.f64 (sqrt.f64 (+.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)) (.f64 2 (fma.f64 a (neg.f64 c) (*.f64 a c))))) b_2) a)
(/.f64 (/.f64 (-.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)) (.f64 (neg.f64 b_2) (neg.f64 b_2))) (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) (neg.f64 b_2))) a)
(exp.f64 (log.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2) a)))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) a)) 3)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2) a)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) a) -1) -1)
(.f64 (/.f64 1 a) (/.f64 (sqrt.f64 (neg.f64 (pow.f64 (.f64 a c) 3))) (sqrt.f64 (pow.f64 (*.f64 a c) 2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2) b_2) a)
(/.f64 (-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 c)) (.f64 -1 (log.f64 (/.f64 1 a)))))) 2) b_2) a)
(/.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) b_2) (cbrt.f64 a)) (pow.f64 (cbrt.f64 a) 2))
(-.f64 (/.f64 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (cbrt.f64 a)) (/.f64 b_2 a))
(fma.f64 (cbrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) (/.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a))))) a) (/.f64 (neg.f64 b_2) a))

Outputs
(/.f64 (*.f64 b_2 -2) a)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
(/.f64 (*.f64 c -1/2) b_2)

Calls

4 calls:

310.0ms	c
242.0ms	a
93.0ms	b_2
64.0ms	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Results

Accuracy	Segments	Branch
62.3%	6	`a`
83.8%	3	`b_2`
65.4%	8	`c`
73.2%	5	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`

Compiler

Compiled 690 to 340 computations (50.7% saved)

regimes258.0ms (3.1%)

Counts

20 → 3

Calls

Call 1

Inputs
(/.f64 (*.f64 b_2 -2) a)
(/.f64 (*.f64 c -1/2) b_2)
(/.f64 1 (*.f64 -2 (/.f64 b_2 c)))
(/.f64 (.f64 -1/2 (.f64 (/.f64 a b_2) c)) a)
(/.f64 (*.f64 -1/2 (/.f64 a (/.f64 b_2 c))) a)
(/.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) a)
(/.f64 (.f64 -1/2 (/.f64 (.f64 a c) b_2)) a)
(/.f64 (/.f64 -1/2 (/.f64 b_2 (*.f64 a c))) a)
(.f64 (.f64 a -1/2) (/.f64 (/.f64 (neg.f64 c) b_2) a))
(/.f64 (*.f64 -1/2 (/.f64 a (/.f64 (neg.f64 b_2) c))) a)
(.f64 (/.f64 (.f64 a (/.f64 c b_2)) 1) (/.f64 -1/2 a))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(/.f64 (.f64 -1/2 (.f64 a (*.f64 (/.f64 -1 b_2) c))) a)
(/.f64 (.f64 -1/2 (.f64 a (/.f64 1 (/.f64 b_2 c)))) a)
(/.f64 (.f64 -1/2 (.f64 (/.f64 c 1) (/.f64 a b_2))) a)
(/.f64 (.f64 -1/2 (.f64 (*.f64 a c) (/.f64 1 (neg.f64 b_2)))) a)
(.f64 1/2 (/.f64 (.f64 c (-.f64 (.f64 2 (+.f64 a (.f64 -1 a))) a)) (*.f64 a b_2)))
(pow.f64 (/.f64 (*.f64 a -1/2) b_2) -1)
(/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)
(.f64 (/.f64 1 a) (sqrt.f64 (-.f64 (.f64 2 0) (*.f64 a c))))

Outputs
(/.f64 (*.f64 b_2 -2) a)
(/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)
(/.f64 (*.f64 c -1/2) b_2)

Calls

1 calls:

253.0ms

b_2

Results

Accuracy	Segments	Branch
79.9%	3	`b_2`

Compiler

Compiled 201 to 118 computations (41.3% saved)

regimes22.0ms (0.3%)

Counts

18 → 2

Calls

Call 1

Inputs
(/.f64 (*.f64 b_2 -2) a)
(/.f64 (*.f64 c -1/2) b_2)
(/.f64 1 (*.f64 -2 (/.f64 b_2 c)))
(/.f64 (.f64 -1/2 (.f64 (/.f64 a b_2) c)) a)
(/.f64 (*.f64 -1/2 (/.f64 a (/.f64 b_2 c))) a)
(/.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) a)
(/.f64 (.f64 -1/2 (/.f64 (.f64 a c) b_2)) a)
(/.f64 (/.f64 -1/2 (/.f64 b_2 (*.f64 a c))) a)
(.f64 (.f64 a -1/2) (/.f64 (/.f64 (neg.f64 c) b_2) a))
(/.f64 (*.f64 -1/2 (/.f64 a (/.f64 (neg.f64 b_2) c))) a)
(.f64 (/.f64 (.f64 a (/.f64 c b_2)) 1) (/.f64 -1/2 a))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(/.f64 (.f64 -1/2 (.f64 a (*.f64 (/.f64 -1 b_2) c))) a)
(/.f64 (.f64 -1/2 (.f64 a (/.f64 1 (/.f64 b_2 c)))) a)
(/.f64 (.f64 -1/2 (.f64 (/.f64 c 1) (/.f64 a b_2))) a)
(/.f64 (.f64 -1/2 (.f64 (*.f64 a c) (/.f64 1 (neg.f64 b_2)))) a)
(.f64 1/2 (/.f64 (.f64 c (-.f64 (.f64 2 (+.f64 a (.f64 -1 a))) a)) (*.f64 a b_2)))
(pow.f64 (/.f64 (*.f64 a -1/2) b_2) -1)

Outputs
(/.f64 (*.f64 b_2 -2) a)
(/.f64 (*.f64 c -1/2) b_2)

Calls

1 calls:

18.0ms

b_2

Results

Accuracy	Segments	Branch
68.7%	2	`b_2`

Compiler

Compiled 180 to 105 computations (41.7% saved)

regimes9.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(/.f64 (*.f64 b_2 -2) a)

Outputs
(/.f64 (*.f64 b_2 -2) a)

Calls

3 calls:

3.0ms	b_2
3.0ms	c
3.0ms	a

Results

Accuracy	Segments	Branch
38.8%	1	`a`
38.8%	1	`c`
38.8%	1	`b_2`

Compiler

Compiled 20 to 15 computations (25% saved)

bsearch28.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
22.0ms	6.281729884211043e-100	2.109652409334789e-98
6.0ms	-4.4688423676587e+113	-3.155581579274493e+113

Results

13.0ms	119×	body	256	valid
4.0ms	33×	body	256	invalid
4.0ms	15×	body	1024	valid
2.0ms	5×	body	2048	valid
2.0ms	9×	body	512	valid
1.0ms	12×	body	256	infinite

Compiler

Compiled 272 to 185 computations (32% saved)

bsearch43.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
21.0ms	6.281729884211043e-100	2.109652409334789e-98
22.0ms	-8.486525239800232e-118	-1.0365944161584685e-123

Results

26.0ms	229×	body	256	valid
6.0ms	59×	body	256	invalid
4.0ms	11×	body	1024	valid
2.0ms	6×	body	2048	valid
2.0ms	10×	body	512	valid

Compiler

Compiled 374 to 271 computations (27.5% saved)

bsearch29.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
29.0ms	-1.2858181633534977e-289	1.5543372309579083e-301

Results

21.0ms	176×	body	256	valid
6.0ms	68×	body	256	invalid

Compiler

Compiled 220 to 169 computations (23.2% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

16×	`*-commutative`
14×	`sub-neg`
14×	`+-commutative`
8×	`neg-mul-1`
8×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	285
1	61	285
2	74	285
3	81	285
4	85	285
5	86	285

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 b_2 -380000000000000033253212188985049403878194369800270411595130706728872292164739747365106938159917070410873099517952) (/.f64 (.f64 b_2 -2) a) (if (<=.f64 b_2 6464391641595969/307828173409331868845930000782371982852185463050511302093346042220669701339821957901673955116288403443801781174272) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (/.f64 (.f64 c -1/2) b_2)))
(if (<=.f64 b_2 -8858346952352709/11356855067118857664833184498250070849275646260739344691898284362197488876771842551971735167402555711886914400097909030211478150447104) (/.f64 (.f64 b_2 -2) a) (if (<=.f64 b_2 492525077454931/38478521676166483605741250097796497856523182881313912761668255277583712667477744737709244389536050430475222646784) (/.f64 (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2) a) (/.f64 (*.f64 c -1/2) b_2)))
(if (<=.f64 b_2 -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392) (/.f64 (.f64 b_2 -2) a) (/.f64 (.f64 c -1/2) b_2))
(/.f64 (*.f64 b_2 -2) a)

Outputs
(if (<=.f64 b_2 -380000000000000033253212188985049403878194369800270411595130706728872292164739747365106938159917070410873099517952) (/.f64 (.f64 b_2 -2) a) (if (<=.f64 b_2 6464391641595969/307828173409331868845930000782371982852185463050511302093346042220669701339821957901673955116288403443801781174272) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (/.f64 (.f64 c -1/2) b_2)))
(if (<=.f64 b_2 -8858346952352709/11356855067118857664833184498250070849275646260739344691898284362197488876771842551971735167402555711886914400097909030211478150447104) (/.f64 (.f64 b_2 -2) a) (if (<=.f64 b_2 492525077454931/38478521676166483605741250097796497856523182881313912761668255277583712667477744737709244389536050430475222646784) (/.f64 (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2) a) (/.f64 (*.f64 c -1/2) b_2)))
(if (<=.f64 b_2 -8858346952352709/11356855067118857664833184498250070849275646260739344691898284362197488876771842551971735167402555711886914400097909030211478150447104) (/.f64 (.f64 b_2 -2) a) (if (<=.f64 b_2 492525077454931/38478521676166483605741250097796497856523182881313912761668255277583712667477744737709244389536050430475222646784) (/.f64 (-.f64 (sqrt.f64 (.f64 a (neg.f64 c))) b_2) a) (/.f64 (*.f64 c -1/2) b_2)))
(if (<=.f64 b_2 -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392) (/.f64 (.f64 b_2 -2) a) (/.f64 (.f64 c -1/2) b_2))
(/.f64 (*.f64 b_2 -2) a)

Compiler

Compiled 88 to 59 computations (33% saved)

soundness1.1s (12.9%)

Rules

1964×	`fma-neg`
1710×	`div-sub`
1614×	`fma-neg`
1614×	`fma-neg`
1614×	`fma-neg`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	52	456
1	116	420
2	232	420
3	603	420
4	1504	420
5	3695	416
6	6389	416
7	7346	416
8	7733	416
9	7815	416
10	7855	416
0	769	28079
1	1915	26019
2	7109	25967
0	769	28079
1	1915	26019
2	7109	25967
0	769	28079
1	1915	26019
2	7109	25967

Stop Event

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

Compiler

Compiled 113 to 58 computations (48.7% saved)

end0.0ms (0%)

preprocess74.0ms (0.9%)

Compiler: Compiled 374 to 172 computations (54% saved)

analyze95.0ms (1.1%)

sample1.8s (20.9%)

preprocess278.0ms (3.3%)

eval1.0ms (0%)

prune1.0ms (0%)

localize82.0ms (1%)

series15.0ms (0.2%)

rewrite198.0ms (2.3%)

simplify292.0ms (3.5%)

eval255.0ms (3%)

prune139.0ms (1.6%)

localize308.0ms (3.6%)

series118.0ms (1.4%)

rewrite134.0ms (1.6%)

simplify283.0ms (3.4%)

eval338.0ms (4%)

prune151.0ms (1.8%)

localize411.0ms (4.9%)

series133.0ms (1.6%)

rewrite152.0ms (1.8%)

simplify229.0ms (2.7%)

eval383.0ms (4.5%)

prune200.0ms (2.4%)

localize170.0ms (2%)

eval0.0ms (0%)

prune30.0ms (0.4%)

regimes729.0ms (8.6%)

regimes258.0ms (3.1%)

regimes22.0ms (0.3%)

regimes9.0ms (0.1%)

bsearch28.0ms (0.3%)

bsearch43.0ms (0.5%)

bsearch29.0ms (0.3%)

simplify11.0ms (0.1%)

soundness1.1s (12.9%)

end0.0ms (0%)

preprocess74.0ms (0.9%)

Profiling