Details

analyze298.0ms (2.1%)

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
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
0%	0%	95.2%	0.1%	0%	4.7%	0%	7
6.6%	6.2%	88.2%	0.1%	0%	5.5%	0%	8
11.2%	10.1%	80.4%	0.1%	1.2%	8.2%	0%	9
17.4%	15.2%	72.2%	0.1%	1.4%	11.1%	0%	10
26.2%	22.2%	62.5%	0.1%	2.1%	13%	0%	11
35.6%	29.1%	52.5%	0.1%	3.3%	15.1%	0%	12

Compiler

Compiled 17 to 11 computations (35.3% saved)

sample1.7s (12.4%)

Results

671.0ms	5584×	body	256	valid
398.0ms	1119×	body	2048	valid
216.0ms	766×	body	1024	valid
181.0ms	397×	body	4096	valid
131.0ms	1231×	body	256	invalid
75.0ms	390×	body	512	valid
42.0ms	366×	body	256	infinite

Bogosity

preprocess156.0ms (1.1%)

Algorithm

2×	egg-herbie

Rules

988×	`associate-+l-`
888×	`times-frac`
710×	`*-commutative`
672×	`fma-def`
650×	`associate--r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	156
1	65	140
2	111	140
3	210	140
4	409	140
5	692	140
6	1213	140
7	2057	140
8	4479	140
9	6365	140
0	3	3

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

Inputs
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a 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 (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 b_2 (neg.f64 c) (*.f64 a a))) 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 (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 19 to 13 computations (31.6% saved)

simplify176.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

696×	`associate-/l*`
690×	`associate-r`
600×	`fma-def`
590×	`distribute-lft-in`
554×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	39
1	26	35
2	44	35
3	77	35
4	119	35
5	234	35
6	425	35
7	714	35
8	1198	35
9	1753	35
10	2156	35
11	3722	35
12	5085	35
13	5924	35
14	5932	35
15	5946	35
16	5974	35
17	5990	35
18	6026	35
19	6049	35
20	6061	35

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

eval0.0ms (0%)

Compiler: Compiled 28 to 12 computations (57.1% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

56.27%

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	56.27%	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)

Compiler

Compiled 15 to 9 computations (40% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.16%	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
✓	0.65%	(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)
✓	1.88%	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	39.72%	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

Compiler

Compiled 49 to 9 computations (81.6% saved)

series15.0ms (0.1%)

Counts

4 → 96

Calls

36 calls:

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

rewrite133.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1812×	`associate-*l/`
1404×	`associate-/r*`
674×	`associate-+l+`
296×	`add-sqr-sqrt`
290×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	106
1	273	106
2	4100	106

Stop Event

1×	node limit

Counts

4 → 310

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 6) (pow.f64 (.f64 a c) 3))) (sqrt.f64 (+.f64 (pow.f64 b_2 4) (.f64 (.f64 a c) (fma.f64 b_2 b_2 (.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 4) (pow.f64 (.f64 a c) 2))) (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 6) (pow.f64 (.f64 a c) 3))) 1) (sqrt.f64 (+.f64 (pow.f64 b_2 4) (.f64 (.f64 a c) (fma.f64 b_2 b_2 (.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 4) (pow.f64 (.f64 a c) 2))) 1) (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 b_2 6) (pow.f64 (.f64 a c) 3))) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) (cbrt.f64 (+.f64 (pow.f64 b_2 4) (.f64 (.f64 a c) (fma.f64 b_2 b_2 (.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 b_2 4) (pow.f64 (.f64 a c) 2))) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) (cbrt.f64 (fma.f64 b_2 b_2 (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 b_2 b_2) (.f64 a (neg.f64 c)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 b_2 b_2) (+.f64 (.f64 a (neg.f64 c)) (fma.f64 (neg.f64 c) a (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 b_2 b_2) (.f64 (.f64 a (neg.f64 c)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 b_2 b_2) (+.f64 (+.f64 (.f64 a (neg.f64 c)) (fma.f64 (neg.f64 c) a (.f64 a c))) (fma.f64 (neg.f64 c) a (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 b_2 b_2) (+.f64 (.f64 (.f64 a (neg.f64 c)) 1) (fma.f64 (neg.f64 c) a (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 b_2 b_2) (+.f64 (.f64 a (neg.f64 c)) (+.f64 (fma.f64 (neg.f64 c) a (.f64 a c)) (fma.f64 (neg.f64 c) a (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 b_2 b_2) (+.f64 (+.f64 (.f64 a (neg.f64 c)) (fma.f64 (neg.f64 c) a (.f64 a c))) (+.f64 (fma.f64 (neg.f64 c) a (.f64 a c)) (fma.f64 (neg.f64 c) a (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 b_2 b_2) (+.f64 (.f64 (.f64 a (neg.f64 c)) 1) (+.f64 (fma.f64 (neg.f64 c) a (.f64 a c)) (fma.f64 (neg.f64 c) a (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 b_2 b_2) (+.f64 (.f64 a (neg.f64 c)) (.f64 (fma.f64 (neg.f64 c) a (.f64 a c)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 b_2 b_2) (+.f64 (+.f64 (.f64 a (neg.f64 c)) (fma.f64 (neg.f64 c) a (.f64 a c))) (.f64 (fma.f64 (neg.f64 c) a (.f64 a c)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 b_2 b_2) (+.f64 (.f64 (.f64 a (neg.f64 c)) 1) (.f64 (fma.f64 (neg.f64 c) a (.f64 a c)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 b_2 b_2) (+.f64 (.f64 a (neg.f64 c)) (fma.f64 (neg.f64 a) c (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 b_2 b_2) (+.f64 (+.f64 (.f64 a (neg.f64 c)) (fma.f64 (neg.f64 c) a (.f64 a c))) (fma.f64 (neg.f64 a) c (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 b_2 b_2) (+.f64 (.f64 (.f64 a (neg.f64 c)) 1) (fma.f64 (neg.f64 a) c (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 b_2 b_2) (+.f64 (.f64 a (neg.f64 c)) (fma.f64 (.f64 a (neg.f64 c)) 1 (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 b_2 b_2) (+.f64 (+.f64 (.f64 a (neg.f64 c)) (fma.f64 (neg.f64 c) a (.f64 a c))) (fma.f64 (.f64 a (neg.f64 c)) 1 (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 b_2 b_2) (+.f64 (.f64 (.f64 a (neg.f64 c)) 1) (fma.f64 (.f64 a (neg.f64 c)) 1 (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 b_2 b_2) (+.f64 (.f64 a (neg.f64 c)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 a c))) (sqrt.f64 (.f64 a c)) (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 b_2 b_2) (+.f64 (+.f64 (.f64 a (neg.f64 c)) (fma.f64 (neg.f64 c) a (.f64 a c))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 a c))) (sqrt.f64 (.f64 a c)) (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 b_2 b_2) (+.f64 (.f64 (.f64 a (neg.f64 c)) 1) (fma.f64 (neg.f64 (sqrt.f64 (.f64 a c))) (sqrt.f64 (.f64 a c)) (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 b_2 b_2) (+.f64 (.f64 a (neg.f64 c)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 a c))) (pow.f64 (cbrt.f64 (.f64 a c)) 2) (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 b_2 b_2) (+.f64 (+.f64 (.f64 a (neg.f64 c)) (fma.f64 (neg.f64 c) a (.f64 a c))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 a c))) (pow.f64 (cbrt.f64 (.f64 a c)) 2) (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 b_2 b_2) (+.f64 (.f64 (.f64 a (neg.f64 c)) 1) (fma.f64 (neg.f64 (cbrt.f64 (.f64 a c))) (pow.f64 (cbrt.f64 (.f64 a c)) 2) (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (fma.f64 (neg.f64 c) a (.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (+.f64 (fma.f64 (neg.f64 c) a (.f64 a c)) (fma.f64 (neg.f64 c) a (.f64 a c))))))) 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exp.f64 (log.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) (neg.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (neg.f64 b_2))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a) (neg.f64 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 b_2 a)) (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a) (/.f64 b_2 a))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) (.f64 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(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) (/.f64 -1 a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 a)) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) 1) (/.f64 (sqrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (sqrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 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(.f64 a c))) b_2) a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)))))))

simplify190.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1106×	`associate-r`
930×	`associate-/l*`
888×	`associate-l`
806×	`associate-+r+`
790×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	865	22556
1	2415	21450

Stop Event

1×	node limit

Counts

406 → 588

Calls

Call 1

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

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

eval165.0ms (1.2%)

Compiler: Compiled 16921 to 5689 computations (66.4% saved)

prune134.0ms (1%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	571	17	588
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	571	18	589

Error

8.43%

Counts

589 → 18

Alt Table

Click to see full alt table

Status	Error	Program
	56.39%	(pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) -1)
	57.01%	(pow.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)) 3)
	71.41%	(/.f64 (/.f64 (-.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 b_2 b_2)) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))) (neg.f64 b_2))) a)
▶	71.66%	(/.f64 (/.f64 (.f64 -1/2 (.f64 c a)) b_2) a)
	71.43%	(/.f64 (/.f64 1 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (.f64 a c))))) a)
	90.68%	(/.f64 (-.f64 (+.f64 b_2 (/.f64 (.f64 -1/2 (.f64 c a)) b_2)) b_2) a)
✓	56.27%	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
▶	56.35%	(/.f64 (-.f64 (sqrt.f64 (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 2 (.f64 2 (fma.f64 (neg.f64 c) a (*.f64 c a)))))) b_2) a)
▶	71.06%	(/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)
	81.47%	(/.f64 (-.f64 (sqrt.f64 (*.f64 b_2 b_2)) b_2) a)
	90.21%	(/.f64 (-.f64 b_2 b_2) a)
	71.44%	(/.f64 (.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (.f64 a c))) (/.f64 1 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))))) a)
	61.47%	(/.f64 (*.f64 c -1/2) b_2)
▶	69.86%	(/.f64 (*.f64 b_2 -2) a)
	71.47%	(/.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) a)
▶	56.32%	(-.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a) (/.f64 b_2 a))
	70.22%	(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
	56.39%	(.f64 (/.f64 1 a) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2))

Compiler

Compiled 577 to 345 computations (40.2% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.18%	(/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a)
	1.88%	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	10.24%	(-.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a) (/.f64 b_2 a))
	39.72%	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

Compiler

Compiled 54 to 10 computations (81.5% saved)

series6.0ms (0%)

Counts

2 → 40

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	a	@	-inf	(-.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a) (/.f64 b_2 a))
1.0ms	b_2	@	inf	(-.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a) (/.f64 b_2 a))
0.0ms	b_2	@	0	(-.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a) (/.f64 b_2 a))
0.0ms	c	@	inf	(-.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a) (/.f64 b_2 a))
0.0ms	a	@	inf	(-.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a) (/.f64 b_2 a))

rewrite160.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1690×	`associate-/l*`
578×	`associate-/r/`
466×	`associate-+l+`
366×	`associate-/l/`
324×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	64
1	300	64
2	4603	64

Stop Event

1×	node limit

Counts

2 → 163

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a) (/.f64 (neg.f64 b_2) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a) (.f64 (/.f64 (neg.f64 b_2) a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a) (+.f64 (/.f64 (neg.f64 b_2) a) (fma.f64 (neg.f64 (/.f64 1 a)) b_2 (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a) (+.f64 (.f64 (/.f64 (neg.f64 b_2) a) 1) (fma.f64 (neg.f64 (/.f64 1 a)) b_2 (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a) (+.f64 (/.f64 (neg.f64 b_2) a) (fma.f64 (/.f64 (neg.f64 b_2) a) 1 (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a) (+.f64 (.f64 (/.f64 (neg.f64 b_2) a) 1) (fma.f64 (/.f64 (neg.f64 b_2) a) 1 (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a) (+.f64 (/.f64 (neg.f64 b_2) a) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 b_2 a))) (sqrt.f64 (/.f64 b_2 a)) (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a) (+.f64 (.f64 (/.f64 (neg.f64 b_2) a) 1) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 b_2 a))) (sqrt.f64 (/.f64 b_2 a)) (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a) (+.f64 (/.f64 (neg.f64 b_2) a) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 b_2 a))) (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 2) (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a) (+.f64 (.f64 (/.f64 (neg.f64 b_2) a) 1) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 b_2 a))) (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 2) (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (fma.f64 (neg.f64 (/.f64 1 a)) b_2 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (fma.f64 (/.f64 (neg.f64 b_2) a) 1 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 b_2 a))) (sqrt.f64 (/.f64 b_2 a)) (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 b_2 a))) (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 2) (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (+.f64 (fma.f64 (neg.f64 (/.f64 1 a)) b_2 (/.f64 b_2 a)) (fma.f64 (neg.f64 (/.f64 1 a)) b_2 (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (+.f64 (fma.f64 (/.f64 (neg.f64 b_2) a) 1 (/.f64 b_2 a)) (fma.f64 (neg.f64 (/.f64 1 a)) b_2 (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 b_2 a))) (sqrt.f64 (/.f64 b_2 a)) (/.f64 b_2 a)) (fma.f64 (neg.f64 (/.f64 1 a)) b_2 (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 b_2 a))) (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 2) (/.f64 b_2 a)) (fma.f64 (neg.f64 (/.f64 1 a)) b_2 (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (+.f64 (fma.f64 (neg.f64 (/.f64 1 a)) b_2 (/.f64 b_2 a)) (fma.f64 (/.f64 (neg.f64 b_2) a) 1 (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 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Outputs

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(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a)))))))

simplify118.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1106×	`fma-def`
914×	`associate-r`
686×	`associate-l`
664×	`associate-/r*`
616×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	578	16211
1	1813	14855

Stop Event

1×	node limit

Counts

203 → 345

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (.f64 -1 (/.f64 b_2 a)))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (*.f64 -1 (/.f64 b_2 a))))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (.f64 -1 (/.f64 b_2 a)))))
(*.f64 -1/2 (/.f64 c b_2))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2))))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 c 4) (pow.f64 a 4))) (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2)) (.f64 a (pow.f64 b_2 7)))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2)))))
(*.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 (pow.f64 c 2) a) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 c b_2))))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (.f64 1/2 (/.f64 c b_2)))))
(*.f64 -1/2 (/.f64 c b_2))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2))))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 (.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 3))) 2) (.f64 1/16 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)))) (pow.f64 a 3)) b_2)) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2)))))
(*.f64 -1/2 (/.f64 c b_2))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 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))) (.f64 a b_2))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (.f64 -1/2 (/.f64 c b_2)))))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1))))))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 7)))) (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 -1) 5)))))))
(/.f64 b_2 a)
(+.f64 (/.f64 b_2 a) (*.f64 -1/2 (/.f64 c b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (/.f64 b_2 a) (*.f64 -1/2 (/.f64 c b_2))))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (/.f64 b_2 a) (+.f64 (.f64 -1/2 (/.f64 c b_2)) (.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))))))
(*.f64 -1 (/.f64 b_2 a))
(+.f64 (.f64 -1 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (.f64 -1 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2))))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (+.f64 (.f64 -1 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))))
(/.f64 b_2 a)
(+.f64 (/.f64 b_2 a) (*.f64 -1/2 (/.f64 c b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (/.f64 b_2 a) (*.f64 -1/2 (/.f64 c b_2))))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (/.f64 b_2 a) (+.f64 (.f64 -1/2 (/.f64 c b_2)) (.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))))))
(/.f64 b_2 a)
(+.f64 (/.f64 b_2 a) (*.f64 -1/2 (/.f64 c b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (/.f64 b_2 a) (*.f64 -1/2 (/.f64 c b_2))))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (/.f64 b_2 a) (+.f64 (.f64 -1/2 (/.f64 c b_2)) (.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))))))
(+.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a) (/.f64 (neg.f64 b_2) a))
(+.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a) (*.f64 (/.f64 (neg.f64 b_2) a) 1))
(+.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a) (+.f64 (/.f64 (neg.f64 b_2) a) (fma.f64 (neg.f64 (/.f64 1 a)) b_2 (/.f64 b_2 a))))
(+.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a) (+.f64 (*.f64 (/.f64 (neg.f64 b_2) a) 1) (fma.f64 (neg.f64 (/.f64 1 a)) b_2 (/.f64 b_2 a))))
(+.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a) (+.f64 (/.f64 (neg.f64 b_2) a) (fma.f64 (/.f64 (neg.f64 b_2) a) 1 (/.f64 b_2 a))))
(+.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a) (+.f64 (*.f64 (/.f64 (neg.f64 b_2) a) 1) (fma.f64 (/.f64 (neg.f64 b_2) a) 1 (/.f64 b_2 a))))
(+.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a) (+.f64 (/.f64 (neg.f64 b_2) a) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 b_2 a))) (sqrt.f64 (/.f64 b_2 a)) (/.f64 b_2 a))))
(+.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a) (+.f64 (*.f64 (/.f64 (neg.f64 b_2) a) 1) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 b_2 a))) (sqrt.f64 (/.f64 b_2 a)) (/.f64 b_2 a))))
(+.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a) (+.f64 (/.f64 (neg.f64 b_2) a) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 b_2 a))) (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 2) (/.f64 b_2 a))))
(+.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a) (+.f64 (*.f64 (/.f64 (neg.f64 b_2) a) 1) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 b_2 a))) (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 2) (/.f64 b_2 a))))
(+.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (fma.f64 (neg.f64 (/.f64 1 a)) b_2 (/.f64 b_2 a)))
(+.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (fma.f64 (/.f64 (neg.f64 b_2) a) 1 (/.f64 b_2 a)))
(+.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 b_2 a))) (sqrt.f64 (/.f64 b_2 a)) (/.f64 b_2 a)))
(+.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 b_2 a))) (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 2) (/.f64 b_2 a)))
(+.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (+.f64 (fma.f64 (neg.f64 (/.f64 1 a)) b_2 (/.f64 b_2 a)) (fma.f64 (neg.f64 (/.f64 1 a)) b_2 (/.f64 b_2 a))))
(+.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (+.f64 (fma.f64 (/.f64 (neg.f64 b_2) a) 1 (/.f64 b_2 a)) (fma.f64 (neg.f64 (/.f64 1 a)) b_2 (/.f64 b_2 a))))
(+.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 b_2 a))) (sqrt.f64 (/.f64 b_2 a)) (/.f64 b_2 a)) (fma.f64 (neg.f64 (/.f64 1 a)) b_2 (/.f64 b_2 a))))
(+.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 b_2 a))) (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 2) (/.f64 b_2 a)) (fma.f64 (neg.f64 (/.f64 1 a)) b_2 (/.f64 b_2 a))))
(+.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (+.f64 (fma.f64 (neg.f64 (/.f64 1 a)) b_2 (/.f64 b_2 a)) (fma.f64 (/.f64 (neg.f64 b_2) a) 1 (/.f64 b_2 a))))
(+.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (+.f64 (fma.f64 (/.f64 (neg.f64 b_2) a) 1 (/.f64 b_2 a)) (fma.f64 (/.f64 (neg.f64 b_2) a) 1 (/.f64 b_2 a))))
(+.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 b_2 a))) (sqrt.f64 (/.f64 b_2 a)) (/.f64 b_2 a)) (fma.f64 (/.f64 (neg.f64 b_2) a) 1 (/.f64 b_2 a))))
(+.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 b_2 a))) (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 2) (/.f64 b_2 a)) (fma.f64 (/.f64 (neg.f64 b_2) a) 1 (/.f64 b_2 a))))
(+.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (+.f64 (fma.f64 (neg.f64 (/.f64 1 a)) b_2 (/.f64 b_2 a)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 b_2 a))) (sqrt.f64 (/.f64 b_2 a)) (/.f64 b_2 a))))
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(/.f64 (-.f64 (.f64 (.f64 a (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (.f64 a (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) (.f64 (.f64 b_2 a) (.f64 b_2 a))) (.f64 (.f64 a a) (+.f64 (.f64 a (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (.f64 b_2 a))))
(/.f64 (-.f64 (.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a) 3) (pow.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a) 3)) (.f64 (pow.f64 (/.f64 b_2 a) 3) (pow.f64 (/.f64 b_2 a) 3))) (.f64 (+.f64 (/.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (.f64 a a)) (.f64 (/.f64 b_2 a) (+.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a) (/.f64 b_2 a)))) (+.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) a) 3) (pow.f64 (/.f64 b_2 a) 3))))
(/.f64 (-.f64 (.f64 (/.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (.f64 a a)) (/.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (.f64 a a))) (.f64 (pow.f64 (/.f64 b_2 a) 2) (pow.f64 (/.f64 b_2 a) 2))) (.f64 (+.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a) (/.f64 b_2 a)) (+.f64 (/.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (.f64 a a)) (pow.f64 (/.f64 b_2 a) 2))))
(/.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (.f64 a c))) (.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a) 3) (pow.f64 (/.f64 (neg.f64 b_2) a) 3)) (-.f64 (+.f64 (/.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (.f64 a a)) (.f64 (/.f64 (neg.f64 b_2) a) (/.f64 (neg.f64 b_2) a))) (.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) a) (/.f64 (neg.f64 b_2) a))))
(/.f64 (-.f64 (pow.f64 (.f64 a (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) 3) (pow.f64 (.f64 b_2 a) 3)) (.f64 (.f64 a a) (+.f64 (+.f64 (.f64 (.f64 a (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (.f64 a (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) (.f64 (.f64 b_2 a) (.f64 b_2 a))) (.f64 (.f64 a (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (*.f64 b_2 a)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a) 3) 3) (pow.f64 (pow.f64 (/.f64 b_2 a) 3) 3)) (.f64 (+.f64 (/.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (.f64 a a)) (.f64 (/.f64 b_2 a) (+.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a) (/.f64 b_2 a)))) (+.f64 (.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a) 3) (pow.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a) 3)) (+.f64 (.f64 (pow.f64 (/.f64 b_2 a) 3) (pow.f64 (/.f64 b_2 a) 3)) (.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a) 3) (pow.f64 (/.f64 b_2 a) 3))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (.f64 a a)) 3) (pow.f64 (pow.f64 (/.f64 b_2 a) 2) 3)) (.f64 (+.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a) (/.f64 b_2 a)) (+.f64 (.f64 (/.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (.f64 a a)) (/.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (.f64 a a))) (+.f64 (.f64 (pow.f64 (/.f64 b_2 a) 2) (pow.f64 (/.f64 b_2 a) 2)) (.f64 (/.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (.f64 a a)) (pow.f64 (/.f64 b_2 a) 2))))))
(/.f64 (-.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2) (pow.f64 b_2 3)) (.f64 a (+.f64 (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (.f64 b_2 b_2)) (.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2))))
(/.f64 (-.f64 0 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) (neg.f64 a))
(/.f64 (-.f64 (.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (/.f64 a b_2)) a) (.f64 a (/.f64 a b_2)))
(/.f64 (-.f64 (.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 a)) (.f64 a (neg.f64 b_2))) (*.f64 a (neg.f64 a)))
(/.f64 (-.f64 a (.f64 (/.f64 a (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) b_2)) (.f64 (/.f64 a (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a))
(/.f64 (-.f64 (/.f64 a b_2) (.f64 (/.f64 a (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) 1)) (.f64 (/.f64 a (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (/.f64 a b_2)))
(/.f64 (-.f64 (neg.f64 a) (.f64 (/.f64 a (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (neg.f64 b_2))) (.f64 (/.f64 a (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (neg.f64 a)))
(/.f64 (-.f64 (.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (.f64 (neg.f64 a) b_2)) (*.f64 (neg.f64 a) a))
(/.f64 (-.f64 (.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (/.f64 a b_2)) (.f64 (neg.f64 a) 1)) (*.f64 (neg.f64 a) (/.f64 a b_2)))
(/.f64 (-.f64 (.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (neg.f64 a)) (.f64 (neg.f64 a) (neg.f64 b_2))) (*.f64 (neg.f64 a) (neg.f64 a)))
(/.f64 (neg.f64 (-.f64 (/.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (.f64 a a)) (pow.f64 (/.f64 b_2 a) 2))) (neg.f64 (+.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) a) (/.f64 b_2 a))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a) 3) (pow.f64 (/.f64 b_2 a) 3))) (neg.f64 (+.f64 (/.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (.f64 a a)) (.f64 (/.f64 b_2 a) (+.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a) (/.f64 b_2 a))))))
(/.f64 (neg.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) (neg.f64 a))
(/.f64 (neg.f64 (-.f64 (.f64 a (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (.f64 b_2 a))) (neg.f64 (*.f64 a a)))
(pow.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) 1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) 3) 1/3)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) 3))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)))
(exp.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)))
(exp.f64 (.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2) a)) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)))
(fma.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (/.f64 1 a) (/.f64 (neg.f64 b_2) a))
(fma.f64 1 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a) (/.f64 (neg.f64 b_2) a))
(fma.f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a)) (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a)) (/.f64 (neg.f64 b_2) a))
(fma.f64 (cbrt.f64 (/.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (.f64 a a))) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) a)) (/.f64 (neg.f64 b_2) a))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a))) 1)
(.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) (/.f64 1 a))
(.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) a) 1)
(.f64 1 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) a))
(.f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a)) (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) a)))
(.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) (.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) (/.f64 1 a)))
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a)) (cbrt.f64 (/.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (.f64 a a))))
(.f64 (cbrt.f64 (/.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (.f64 a a))) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a)))
(.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (/.f64 1 a)))
(.f64 (/.f64 1 a) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))))
(.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))) (/.f64 1 (neg.f64 a)))
(.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) (sqrt.f64 a)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) (cbrt.f64 a)))
(.f64 (/.f64 1 (neg.f64 a)) (neg.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))))
(.f64 (/.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 1) (/.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)) 1/4) a))
(.f64 (/.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) a) (pow.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)) 1/4))
(.f64 (/.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)) 1/4) (cbrt.f64 a)))
(.f64 (/.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 1) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))) a))
(.f64 (/.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (sqrt.f64 a)) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))) (sqrt.f64 a)))
(.f64 (/.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) a)))
(.f64 (/.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))))
(.f64 (/.f64 1 (/.f64 a (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a) 1)
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a)) 2)
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a)) 3)
(pow.f64 (/.f64 a (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) -1)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a) 3) 1/3)
(neg.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 a)))
(sqrt.f64 (/.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (*.f64 a a)))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a) 3))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a)))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a)))
(exp.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) a)) 1))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a)))

Outputs
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (.f64 -1 (/.f64 b_2 a)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (neg.f64 (/.f64 b_2 a)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (/.f64 (neg.f64 b_2) a))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (*.f64 -1 (/.f64 b_2 a))))
(fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1))) (neg.f64 (/.f64 b_2 a))))
(-.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (.f64 (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2)) 1/2))) (/.f64 b_2 a))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (.f64 -1 (/.f64 b_2 a)))))
(fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1))) (neg.f64 (/.f64 b_2 a)))))
(fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (-.f64 (fma.f64 (.f64 -1/8 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 5))))) (/.f64 (pow.f64 b_2 4) (.f64 -1 (sqrt.f64 -1))) (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (*.f64 (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2)) 1/2))) (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 c b_2))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/8 (.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) c)) a) (.f64 -1/2 (/.f64 c b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2))))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (fma.f64 -1/2 (/.f64 c b_2) (.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (*.f64 a a))))))
(fma.f64 -1/8 (.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) c)) a) (fma.f64 -1/2 (/.f64 c b_2) (/.f64 (.f64 -1/16 (pow.f64 c 3)) (/.f64 (pow.f64 b_2 5) (*.f64 a a)))))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 c 4) (pow.f64 a 4))) (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2)) (.f64 a (pow.f64 b_2 7)))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2)))))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (fma.f64 -1/2 (/.f64 (fma.f64 1/16 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 (.f64 -1/8 (.f64 (.f64 c c) (.f64 a a))) 2)) (.f64 a (pow.f64 b_2 7))) (fma.f64 -1/2 (/.f64 c b_2) (.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (*.f64 a a)))))))
(fma.f64 -1/8 (.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) c)) a) (fma.f64 -1/2 (/.f64 (fma.f64 1/16 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 1/64)) (.f64 a (pow.f64 b_2 7))) (fma.f64 -1/2 (/.f64 c b_2) (/.f64 (.f64 -1/16 (pow.f64 c 3)) (/.f64 (pow.f64 b_2 5) (*.f64 a a))))))
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(.f64 (/.f64 1 a) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))))
(/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) a)
(.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))) (/.f64 1 (neg.f64 a)))
(/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) a)
(.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) (sqrt.f64 a)))
(.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))) (sqrt.f64 a)))
(/.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) (sqrt.f64 a)) (sqrt.f64 a))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) (cbrt.f64 a)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))) (cbrt.f64 a)))
(/.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) (cbrt.f64 a)) (pow.f64 (cbrt.f64 a) 2))
(.f64 (/.f64 1 (neg.f64 a)) (neg.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))))
(/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) a)
(.f64 (/.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 1) (/.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)) 1/4) a))
(.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/4) (.f64 (/.f64 1 a) (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/4)))
(/.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/2) a)
(.f64 (/.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) a) (pow.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)) 1/4))
(.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/4) (.f64 (/.f64 1 a) (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/4)))
(/.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/2) a)
(.f64 (/.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)) 1/4) (cbrt.f64 a)))
(.f64 (/.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/4) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)) 1/4) (cbrt.f64 a)))
(/.f64 (/.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
(.f64 (/.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 1) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))) a))
(.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) (.f64 (/.f64 1 a) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))))
(.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (/.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))) a))
(.f64 (/.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (sqrt.f64 a)) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))) (sqrt.f64 a)))
(.f64 (/.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) (sqrt.f64 a)) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)))) (sqrt.f64 a)))
(/.f64 (/.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) (sqrt.f64 a)) (/.f64 (sqrt.f64 a) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))))
(.f64 (/.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) a)))
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) a)) (/.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))) (pow.f64 (cbrt.f64 a) 2)))
(.f64 (/.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))))
(.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) (.f64 (/.f64 1 a) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))))
(.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (/.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))) a))
(.f64 (/.f64 1 (/.f64 a (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))))
(.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) (.f64 (/.f64 1 a) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))))
(.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (/.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))) a))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a) 1)
(/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) a)
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a)) 2)
(/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) a)
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a)) 3)
(/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) a)
(pow.f64 (/.f64 a (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) -1)
(/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) a)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a) 3) 1/3)
(/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) a)
(neg.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 a)))
(/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) a)
(sqrt.f64 (/.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (*.f64 a a)))
(sqrt.f64 (/.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (*.f64 a a)))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a)))
(/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) a)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a))))
(/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) a)
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a) 3))
(/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) a)
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a)))
(/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) a)
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a)))
(/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) a)
(exp.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) a)) 1))
(/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) a)
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a)))
(/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) a)

localize6.0ms (0%)

Compiler: Compiled 14 to 9 computations (35.7% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.01%	(.f64 -1/2 (.f64 c a))
✓	8.39%	(/.f64 (.f64 -1/2 (.f64 c a)) b_2)
✓	15.75%	(/.f64 (/.f64 (.f64 -1/2 (.f64 c a)) b_2) a)

Compiler

Compiled 31 to 14 computations (54.8% saved)

series12.0ms (0.1%)

Counts

3 → 72

Calls

24 calls:

Time	Variable		Point	Expression
3.0ms	b_2	@	-inf	(/.f64 (/.f64 (.f64 -1/2 (.f64 c a)) b_2) a)
2.0ms	c	@	-inf	(/.f64 (.f64 -1/2 (.f64 c a)) b_2)
1.0ms	c	@	0	(/.f64 (.f64 -1/2 (.f64 c a)) b_2)
1.0ms	b_2	@	inf	(/.f64 (.f64 -1/2 (.f64 c a)) b_2)
1.0ms	c	@	0	(/.f64 (/.f64 (.f64 -1/2 (.f64 c a)) b_2) a)

rewrite85.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

934×	`unswap-sqr`
904×	`swap-sqr`
684×	`associate-/r/`
578×	`associate-/l/`
510×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	57
1	216	57
2	3082	57

Stop Event

1×	node limit

Counts

3 → 193

Calls

Call 1

Inputs
(/.f64 (/.f64 (.f64 -1/2 (.f64 c a)) b_2) a)
(/.f64 (.f64 -1/2 (.f64 c a)) b_2)
(.f64 -1/2 (.f64 c a))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 -1/2 a) (/.f64 (*.f64 c a) b_2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/2 (*.f64 c a)) (*.f64 (/.f64 1 b_2) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/2 (*.f64 c a)) (/.f64 1 (*.f64 a b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -1/2 a) (/.f64 (*.f64 c a) b_2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 -1/2 a) (/.f64 (*.f64 c a) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))) (*.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))) (/.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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(2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))) 2)) (cbrt.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))) 2)) (cbrt.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (/.f64 1 b_2)) (sqrt.f64 (*.f64 -1/2 (*.f64 c a)))) (*.f64 (sqrt.f64 (/.f64 1 b_2)) (sqrt.f64 (*.f64 -1/2 (*.f64 c a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))) 3/2) (pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) 3) 1/6) (pow.f64 (pow.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) 3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 -2 (/.f64 b_2 (*.f64 c a))) -1/2) (pow.f64 (*.f64 -2 (/.f64 b_2 (*.f64 c a))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -2 (/.f64 b_2 (*.f64 c a))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 1/2 b_2) (*.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (/.f64 1/2 b_2) (*.f64 c a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 -1/2 (*.f64 c a)) 3) (pow.f64 b_2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))))))))

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

simplify118.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1350×	`associate-r`
1246×	`associate-l`
838×	`associate-/l*`
734×	`*-commutative`
698×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	449	5567
1	1293	5243
2	7369	5243

Stop Event

1×	node limit

Counts

265 → 232

Calls

Call 1

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

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

localize19.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.01%	(-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2)
✓	0.18%	(/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)
✓	19.71%	(sqrt.f64 (*.f64 c (neg.f64 a)))

Compiler

Compiled 33 to 8 computations (75.8% saved)

series8.0ms (0.1%)

Counts

3 → 28

Calls

24 calls:

Time	Variable		Point	Expression
1.0ms	a	@	inf	(/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)
1.0ms	c	@	0	(sqrt.f64 (*.f64 c (neg.f64 a)))
1.0ms	a	@	0	(sqrt.f64 (*.f64 c (neg.f64 a)))
0.0ms	a	@	-inf	(/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)
0.0ms	b_2	@	0	(/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)

rewrite86.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1630×	`associate-/l*`
1408×	`associate-*r/`
1162×	`*-commutative`
1004×	`associate-*l/`
254×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	63
1	240	51
2	3498	51

Stop Event

1×	node limit

Counts

3 → 161

Calls

Call 1

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

Outputs

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

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(sqrt.f64 (-.f64 (pow.f64 (*.f64 c a) 3/2) (pow.f64 b_2 3))) (/.f64 (fma.f64 c a (*.f64 b_2 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2))) (sqrt.f64 (-.f64 (pow.f64 (*.f64 c a) 3/2) (pow.f64 b_2 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (*.f64 c a) (*.f64 b_2 b_2))) (/.f64 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2) (sqrt.f64 (-.f64 (*.f64 c a) (*.f64 b_2 b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 c a) 3/2) (pow.f64 b_2 3))) (cbrt.f64 (-.f64 (pow.f64 (*.f64 c a) 3/2) (pow.f64 b_2 3)))) (/.f64 (fma.f64 c a (*.f64 b_2 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2))) (cbrt.f64 (-.f64 (pow.f64 (*.f64 c a) 3/2) (pow.f64 b_2 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 c a) (*.f64 b_2 b_2))) (cbrt.f64 (-.f64 (*.f64 c a) (*.f64 b_2 b_2)))) (/.f64 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2) (cbrt.f64 (-.f64 (*.f64 c a) (*.f64 b_2 b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 c a) (*.f64 b_2 b_2))) (neg.f64 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 c a) 3/2) (pow.f64 b_2 3))) (neg.f64 (fma.f64 c a (*.f64 b_2 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 c a) 1/4) (sqrt.f64 b_2)) (/.f64 1 (-.f64 (pow.f64 (*.f64 c a) 1/4) (sqrt.f64 b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 c a) (*.f64 (neg.f64 b_2) (neg.f64 b_2))) (-.f64 (sqrt.f64 (*.f64 c a)) (neg.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 c a) 3/2) (pow.f64 (neg.f64 b_2) 3)) (-.f64 (+.f64 (*.f64 c a) (*.f64 (neg.f64 b_2) (neg.f64 b_2))) (*.f64 (sqrt.f64 (*.f64 c a)) (neg.f64 b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (neg.f64 (-.f64 (*.f64 c a) (*.f64 b_2 b_2)))) (neg.f64 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2)))))) (#(struct:change #<rule 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b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (*.f64 c a)) b_2)) 2) (cbrt.f64 (-.f64 (pow.f64 (*.f64 c a) 3/2) (pow.f64 b_2 3)))) (cbrt.f64 (fma.f64 c a (*.f64 b_2 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (*.f64 c a)) b_2)) 2) (cbrt.f64 (-.f64 (*.f64 c a) (*.f64 b_2 b_2)))) (cbrt.f64 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 (*.f64 c a) (*.f64 b_2 b_2))) 1) (neg.f64 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 c a) 3/2) (pow.f64 b_2 3))) 1) (neg.f64 (fma.f64 c a (*.f64 b_2 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 c a) (*.f64 (neg.f64 b_2) (neg.f64 b_2))) 1) (-.f64 (sqrt.f64 (*.f64 c a)) (neg.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (*.f64 c a) 3/2) (pow.f64 (neg.f64 b_2) 3)) 1) (-.f64 (+.f64 (*.f64 c a) (*.f64 (neg.f64 b_2) (neg.f64 b_2))) (*.f64 (sqrt.f64 (*.f64 c a)) (neg.f64 b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 c a) 3/2) (pow.f64 b_2 3))) (sqrt.f64 (-.f64 (sqrt.f64 (*.f64 c a)) b_2))) (sqrt.f64 (fma.f64 c a (*.f64 b_2 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 c a) (*.f64 b_2 b_2))) (sqrt.f64 (-.f64 (sqrt.f64 (*.f64 c a)) b_2))) (sqrt.f64 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 c a) 3/2) (pow.f64 b_2 3))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (*.f64 c a)) b_2)) 2)) (cbrt.f64 (fma.f64 c a (*.f64 b_2 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (-.f64 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(pow.f64 (pow.f64 b_2 3) 3)) (/.f64 1 (fma.f64 c a (*.f64 b_2 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2))))) (+.f64 (+.f64 (pow.f64 (*.f64 c a) 3) (*.f64 (pow.f64 b_2 3) (pow.f64 b_2 3))) (*.f64 (pow.f64 (*.f64 c a) 3/2) (pow.f64 b_2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (sqrt.f64 (*.f64 c a)) b_2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (*.f64 c a)) b_2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (*.f64 c a)) b_2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (sqrt.f64 (*.f64 c a)) b_2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (sqrt.f64 (*.f64 c a)) b_2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (sqrt.f64 (*.f64 c a)) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (*.f64 c a)) b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (*.f64 c a)) b_2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 (*.f64 c a)) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (sqrt.f64 (*.f64 c a)) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (sqrt.f64 (*.f64 c a)) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 (*.f64 c a)) (neg.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 c a) 1/4) (pow.f64 (*.f64 c a) 1/4) (neg.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 c) (sqrt.f64 a) (neg.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 c a)) (cbrt.f64 (sqrt.f64 (*.f64 c a))) (neg.f64 b_2))))))

simplify99.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1692×	`associate-/r*`
1188×	`associate-+r+`
858×	`associate-+l-`
798×	`+-commutative`
762×	`associate-+r-`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	363	6817
1	861	6603
2	4549	6603

Stop Event

1×	node limit

Counts

189 → 258

Calls

Call 1

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

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

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.65%	(-.f64 (sqrt.f64 (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 2 (.f64 2 (fma.f64 (neg.f64 c) a (*.f64 c a)))))) b_2)
✓	1.88%	(-.f64 (.f64 b_2 b_2) (.f64 c a))
✓	39.72%	(sqrt.f64 (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 2 (.f64 2 (fma.f64 (neg.f64 c) a (*.f64 c a))))))
✓	82.75%	(fma.f64 (neg.f64 c) a (*.f64 c a))

Compiler

Compiled 134 to 41 computations (69.4% saved)

series17.0ms (0.1%)

Counts

4 → 100

Calls

33 calls:

Time	Variable		Point	Expression
2.0ms	b_2	@	inf	(sqrt.f64 (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 2 (.f64 2 (fma.f64 (neg.f64 c) a (*.f64 c a))))))
2.0ms	a	@	-inf	(-.f64 (sqrt.f64 (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 2 (.f64 2 (fma.f64 (neg.f64 c) a (*.f64 c a)))))) b_2)
1.0ms	c	@	-inf	(sqrt.f64 (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 2 (.f64 2 (fma.f64 (neg.f64 c) a (*.f64 c a))))))
1.0ms	a	@	-inf	(sqrt.f64 (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 2 (.f64 2 (fma.f64 (neg.f64 c) a (*.f64 c a))))))
1.0ms	b_2	@	0	(sqrt.f64 (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 2 (.f64 2 (fma.f64 (neg.f64 c) a (*.f64 c a))))))

rewrite119.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1244×	`associate-+l+`
458×	`associate-+l-`
436×	`+-commutative`
420×	`add-sqr-sqrt`
408×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	150
1	398	112
2	5705	112

Stop Event

1×	node limit

Counts

4 → 203

Calls

Call 1

Inputs
(fma.f64 (neg.f64 c) a (*.f64 c a))
(sqrt.f64 (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 2 (.f64 2 (fma.f64 (neg.f64 c) a (*.f64 c a))))))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(-.f64 (sqrt.f64 (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 2 (.f64 2 (fma.f64 (neg.f64 c) a (*.f64 c a)))))) b_2)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 c a) (.f64 c a))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (.f64 c a) (.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 c a))) (+.f64 (.f64 c a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 a (+.f64 c c)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 c a) 0) (.f64 c a))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 c a) (exp.f64 (log1p.f64 (.f64 c a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 a (+.f64 c c))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 a (+.f64 c c)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 a (+.f64 c c)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 a (+.f64 c c))) (sqrt.f64 (.f64 a (+.f64 c c))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 a (+.f64 c c))) (pow.f64 (cbrt.f64 (.f64 a (+.f64 c c))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 a (+.f64 c c))) 2) (cbrt.f64 (.f64 a (+.f64 c c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 c a) 3) (pow.f64 (.f64 c a) 3)) (+.f64 (pow.f64 (.f64 c a) 2) (-.f64 (pow.f64 (.f64 c a) 2) (pow.f64 (.f64 c a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 c a) 2) (pow.f64 (.f64 c a) 2)) (-.f64 (.f64 c a) (.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 a (+.f64 c c)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 a (+.f64 c c))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 a (+.f64 c c))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 a (+.f64 c c)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 a (+.f64 c c)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (.f64 a (+.f64 c c))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 a (+.f64 c c)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 a (+.f64 c c)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 a (+.f64 c c))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 a (+.f64 c c))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 a (+.f64 c c))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a (+.f64 c c))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a))) 1/4) (pow.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sqrt.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a))))) (cbrt.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a)))) (cbrt.f64 (sqrt.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a)))) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a)))) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 3) (.f64 64 (pow.f64 (.f64 a (+.f64 c c)) 3)))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 2) (.f64 (.f64 (.f64 a (+.f64 c c)) 4) (-.f64 (.f64 (.f64 a (+.f64 c c)) 4) (fma.f64 b_2 b_2 (.f64 c a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 2) (.f64 16 (pow.f64 (.f64 a (+.f64 c c)) 2)))) (sqrt.f64 (+.f64 (fma.f64 b_2 b_2 (.f64 c a)) (.f64 -4 (.f64 a (+.f64 c c))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a))) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a))) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a))))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (.f64 2 (sqrt.f64 (.f64 a (+.f64 c c)))) (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 a (+.f64 c c)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a))))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 c a) (.f64 b_2 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 c a) (+.f64 (.f64 c a) (fma.f64 b_2 b_2 (.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 c a) (+.f64 (.f64 b_2 b_2) (.f64 a (+.f64 c c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 c a) (+.f64 (.f64 b_2 b_2) (+.f64 (.f64 a (+.f64 c c)) (.f64 a (+.f64 c c)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 c a) (+.f64 (.f64 b_2 b_2) (fma.f64 (.f64 c a) 1 (.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 c a) (+.f64 (.f64 b_2 b_2) (fma.f64 (neg.f64 (sqrt.f64 (.f64 c a))) (sqrt.f64 (.f64 c a)) (.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 c a) (+.f64 (.f64 b_2 b_2) (fma.f64 (neg.f64 (cbrt.f64 (.f64 c a))) (pow.f64 (cbrt.f64 (.f64 c a)) 2) (.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a)))))) (#(struct:change #<rule 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(.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a)))) (cbrt.f64 (sqrt.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (*.f64 c a))))) (neg.f64 b_2))))))

simplify89.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1598×	`fma-def`
824×	`associate-r`
746×	`associate-+l+`
714×	`associate-+r+`
646×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	592	4339
1	1571	4339

Stop Event

1×	node limit

Counts

303 → 251

Calls

Call 1

Inputs
(.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))))
(.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))))
(sqrt.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (*.f64 c a)))
(+.f64 (sqrt.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a))) (.f64 1/2 (.f64 (pow.f64 b_2 2) (sqrt.f64 (/.f64 1 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)))))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 b_2 4) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)) 3))))) (+.f64 (sqrt.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a))) (.f64 1/2 (.f64 (pow.f64 b_2 2) (sqrt.f64 (/.f64 1 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (*.f64 c a))))))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 b_2 4) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)) 3))))) (+.f64 (sqrt.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a))) (+.f64 (.f64 1/16 (.f64 (pow.f64 b_2 6) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)) 5))))) (.f64 1/2 (.f64 (pow.f64 b_2 2) (sqrt.f64 (/.f64 1 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)))))))))
b_2
(+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)) b_2)) b_2)
(+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)) b_2)) (+.f64 b_2 (.f64 -1/8 (/.f64 (pow.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)) 2) (pow.f64 b_2 3)))))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)) 3) (pow.f64 b_2 5))) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)) b_2)) (+.f64 b_2 (.f64 -1/8 (/.f64 (pow.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)) 2) (pow.f64 b_2 3))))))
(*.f64 -1 b_2)
(+.f64 (.f64 -1/2 (/.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)) b_2)) (*.f64 -1 b_2))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)) 2) (pow.f64 b_2 3))) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)) b_2)) (*.f64 -1 b_2)))
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b_2
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b_2
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(pow.f64 b_2 2)
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(pow.f64 b_2 2)
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(pow.f64 b_2 2)
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(.f64 -1 (.f64 c a))
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(pow.f64 b_2 2)
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(.f64 -1 (.f64 c a))
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(*.f64 -2 b_2)
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(.f64 1/2 (/.f64 (.f64 a (-.f64 (.f64 4 (+.f64 c (.f64 -1 c))) c)) b_2))
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(+.f64 (.f64 c a) (.f64 c a))
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(-.f64 (exp.f64 (log1p.f64 (.f64 c a))) (+.f64 (.f64 c a) 1))
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(-.f64 (+.f64 (.f64 c a) 0) (.f64 c a))
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(*.f64 a (+.f64 c c))
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(.f64 (cbrt.f64 (.f64 a (+.f64 c c))) (pow.f64 (cbrt.f64 (*.f64 a (+.f64 c c))) 2))
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(sqrt.f64 (pow.f64 (*.f64 a (+.f64 c c)) 2))
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(cbrt.f64 (pow.f64 (*.f64 a (+.f64 c c)) 3))
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(exp.f64 (log.f64 (*.f64 a (+.f64 c c))))
(exp.f64 (.f64 (log.f64 (.f64 a (+.f64 c c))) 1))
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(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a)))))) 1)
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(.f64 (pow.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a))) 1/4) (pow.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (*.f64 c a))) 1/4))
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(.f64 (cbrt.f64 (-.f64 (sqrt.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a)))) b_2)) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (*.f64 c a)))) b_2)) 2))
(.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a)))) b_2)) 2) (cbrt.f64 (-.f64 (sqrt.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (*.f64 c a)))) b_2)))
(.f64 (-.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a))) (.f64 b_2 b_2)) (/.f64 1 (+.f64 b_2 (sqrt.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a)))))))
(.f64 (-.f64 (pow.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a))) 3/2) (pow.f64 b_2 3)) (/.f64 1 (+.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a))) (.f64 b_2 (+.f64 b_2 (sqrt.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a)))))))))
(.f64 (+.f64 (pow.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a))) 1/4) (sqrt.f64 b_2)) (-.f64 (pow.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (*.f64 c a))) 1/4) (sqrt.f64 b_2)))
(/.f64 1 (/.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a))))) (-.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a))) (*.f64 b_2 b_2))))
(/.f64 1 (/.f64 (+.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a))) (.f64 b_2 (+.f64 b_2 (sqrt.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a))))))) (-.f64 (pow.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (*.f64 c a))) 3/2) (pow.f64 b_2 3))))
(/.f64 (-.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a))) (.f64 b_2 b_2)) (+.f64 b_2 (sqrt.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (*.f64 c a))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a))) 3/2) (pow.f64 b_2 3)) (+.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a))) (.f64 b_2 (+.f64 b_2 (sqrt.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (*.f64 c a))))))))
(/.f64 (-.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a))) (.f64 (neg.f64 b_2) (neg.f64 b_2))) (-.f64 (sqrt.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (*.f64 c a)))) (neg.f64 b_2)))
(/.f64 (+.f64 (pow.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a))) 3/2) (pow.f64 (neg.f64 b_2) 3)) (-.f64 (+.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a))) (.f64 (neg.f64 b_2) (neg.f64 b_2))) (.f64 (sqrt.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a)))) (neg.f64 b_2))))
(/.f64 (neg.f64 (-.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a))) (.f64 b_2 b_2))) (neg.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (*.f64 c a)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a))) 3/2) (pow.f64 b_2 3))) (neg.f64 (+.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a))) (.f64 b_2 (+.f64 b_2 (sqrt.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (*.f64 c a)))))))))
(pow.f64 (-.f64 (sqrt.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a)))) b_2) 1)
(pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a)))) b_2)) 2)
(pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a)))) b_2)) 3)
(pow.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a)))) b_2) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a)))) b_2) 2))
(log.f64 (exp.f64 (-.f64 (sqrt.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a)))) b_2)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a)))) b_2))))
(cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a)))) b_2) 3))
(expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a)))) b_2)))
(exp.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a)))) b_2)))
(exp.f64 (.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (*.f64 c a)))) b_2)) 1))
(log1p.f64 (expm1.f64 (-.f64 (sqrt.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a)))) b_2)))
(fma.f64 1 (sqrt.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a)))) (neg.f64 b_2))
(fma.f64 (pow.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a))) 1/4) (pow.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a))) 1/4) (neg.f64 b_2))
(fma.f64 (cbrt.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a)))) (cbrt.f64 (sqrt.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a))))) (neg.f64 b_2))

Outputs
(.f64 c (+.f64 a (.f64 -1 a)))
(.f64 c (.f64 0 a))
(.f64 c (+.f64 a (.f64 -1 a)))
(.f64 c (.f64 0 a))
(.f64 c (+.f64 a (.f64 -1 a)))
(.f64 c (.f64 0 a))
(.f64 c (+.f64 a (.f64 -1 a)))
(.f64 c (.f64 0 a))
(.f64 c (+.f64 a (.f64 -1 a)))
(.f64 c (.f64 0 a))
(.f64 c (+.f64 a (.f64 -1 a)))
(.f64 c (.f64 0 a))
(.f64 c (+.f64 a (.f64 -1 a)))
(.f64 c (.f64 0 a))
(.f64 c (+.f64 a (.f64 -1 a)))
(.f64 c (.f64 0 a))
(.f64 -1 (.f64 c (+.f64 a (*.f64 -1 a))))
(.f64 c (.f64 0 a))
(.f64 -1 (.f64 c (+.f64 a (*.f64 -1 a))))
(.f64 c (.f64 0 a))
(.f64 -1 (.f64 c (+.f64 a (*.f64 -1 a))))
(.f64 c (.f64 0 a))
(.f64 -1 (.f64 c (+.f64 a (*.f64 -1 a))))
(.f64 c (.f64 0 a))
(.f64 a (+.f64 c (.f64 -1 c)))
(.f64 c (.f64 0 a))
(.f64 a (+.f64 c (.f64 -1 c)))
(.f64 c (.f64 0 a))
(.f64 a (+.f64 c (.f64 -1 c)))
(.f64 c (.f64 0 a))
(.f64 a (+.f64 c (.f64 -1 c)))
(.f64 c (.f64 0 a))
(.f64 a (+.f64 c (.f64 -1 c)))
(.f64 c (.f64 0 a))
(.f64 a (+.f64 c (.f64 -1 c)))
(.f64 c (.f64 0 a))
(.f64 a (+.f64 c (.f64 -1 c)))
(.f64 c (.f64 0 a))
(.f64 a (+.f64 c (.f64 -1 c)))
(.f64 c (.f64 0 a))
(.f64 -1 (.f64 a (+.f64 c (*.f64 -1 c))))
(.f64 c (.f64 0 a))
(.f64 -1 (.f64 a (+.f64 c (*.f64 -1 c))))
(.f64 c (.f64 0 a))
(.f64 -1 (.f64 a (+.f64 c (*.f64 -1 c))))
(.f64 c (.f64 0 a))
(.f64 -1 (.f64 a (+.f64 c (*.f64 -1 c))))
(.f64 c (.f64 0 a))
(sqrt.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (*.f64 c a)))
(.f64 c (.f64 0 a))
(+.f64 (sqrt.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a))) (.f64 1/2 (.f64 (pow.f64 b_2 2) (sqrt.f64 (/.f64 1 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)))))))
(.f64 c (.f64 0 a))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 b_2 4) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)) 3))))) (+.f64 (sqrt.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a))) (.f64 1/2 (.f64 (pow.f64 b_2 2) (sqrt.f64 (/.f64 1 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (*.f64 c a))))))))
(.f64 c (.f64 0 a))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 b_2 4) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)) 3))))) (+.f64 (sqrt.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a))) (+.f64 (.f64 1/16 (.f64 (pow.f64 b_2 6) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)) 5))))) (.f64 1/2 (.f64 (pow.f64 b_2 2) (sqrt.f64 (/.f64 1 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)))))))))
(.f64 c (.f64 0 a))
b_2
(.f64 c (.f64 0 a))
(+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)) b_2)) b_2)
(.f64 c (.f64 0 a))
(+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)) b_2)) (+.f64 b_2 (.f64 -1/8 (/.f64 (pow.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)) 2) (pow.f64 b_2 3)))))
(.f64 c (.f64 0 a))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)) 3) (pow.f64 b_2 5))) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)) b_2)) (+.f64 b_2 (.f64 -1/8 (/.f64 (pow.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)) 2) (pow.f64 b_2 3))))))
(.f64 c (.f64 0 a))
(*.f64 -1 b_2)
(.f64 c (.f64 0 a))
(+.f64 (.f64 -1/2 (/.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)) b_2)) (*.f64 -1 b_2))
(.f64 c (.f64 0 a))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)) 2) (pow.f64 b_2 3))) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)) b_2)) (*.f64 -1 b_2)))
(.f64 c (.f64 0 a))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)) 2) (pow.f64 b_2 3))) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)) b_2)) (+.f64 (.f64 -1 b_2) (.f64 -1/16 (/.f64 (pow.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (*.f64 c a)) 3) (pow.f64 b_2 5))))))
(fma.f64 1/8 (/.f64 (pow.f64 (-.f64 0 (.f64 c a)) 2) (pow.f64 b_2 3)) (fma.f64 -1/2 (/.f64 (-.f64 0 (.f64 c a)) b_2) (fma.f64 -1 b_2 (.f64 (/.f64 (pow.f64 (-.f64 0 (.f64 c a)) 3) (pow.f64 b_2 5)) -1/16))))
b_2
(.f64 c (.f64 0 a))
(+.f64 b_2 (.f64 1/2 (/.f64 (.f64 c (-.f64 (.f64 4 (+.f64 a (.f64 -1 a))) a)) b_2)))
(.f64 c (.f64 0 a))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 (-.f64 (.f64 4 (+.f64 a (.f64 -1 a))) a) 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 1/2 (/.f64 (.f64 c (-.f64 (.f64 4 (+.f64 a (.f64 -1 a))) a)) b_2))))
(.f64 c (.f64 0 a))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 (-.f64 (.f64 4 (+.f64 a (.f64 -1 a))) a) 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 (-.f64 (.f64 4 (+.f64 a (.f64 -1 a))) a) 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 1/2 (/.f64 (.f64 c (-.f64 (.f64 4 (+.f64 a (.f64 -1 a))) a)) b_2)))))
(.f64 c (.f64 0 a))
b_2
(.f64 c (.f64 0 a))
(+.f64 (.f64 1/2 (/.f64 (.f64 a (-.f64 (.f64 4 (+.f64 c (.f64 -1 c))) c)) b_2)) b_2)
(.f64 c (.f64 0 a))
(+.f64 (.f64 1/2 (/.f64 (.f64 a (-.f64 (.f64 4 (+.f64 c (.f64 -1 c))) c)) b_2)) (+.f64 b_2 (.f64 -1/8 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 (-.f64 (.f64 4 (+.f64 c (.f64 -1 c))) c) 2)) (pow.f64 b_2 3)))))
(.f64 c (.f64 0 a))
(+.f64 (.f64 1/2 (/.f64 (.f64 a (-.f64 (.f64 4 (+.f64 c (.f64 -1 c))) c)) b_2)) (+.f64 b_2 (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 a 3) (pow.f64 (-.f64 (.f64 4 (+.f64 c (.f64 -1 c))) c) 3)) (pow.f64 b_2 5))) (.f64 -1/8 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 (-.f64 (.f64 4 (+.f64 c (.f64 -1 c))) c) 2)) (pow.f64 b_2 3))))))
(.f64 c (.f64 0 a))
(.f64 -1 (.f64 c a))
(.f64 c (.f64 0 a))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(.f64 c (.f64 0 a))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(.f64 c (.f64 0 a))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(.f64 c (.f64 0 a))
(pow.f64 b_2 2)
(.f64 c (.f64 0 a))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(.f64 c (.f64 0 a))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(.f64 c (.f64 0 a))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(.f64 c (.f64 0 a))
(pow.f64 b_2 2)
(.f64 c (.f64 0 a))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(.f64 c (.f64 0 a))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(.f64 c (.f64 0 a))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(.f64 c (.f64 0 a))
(pow.f64 b_2 2)
(.f64 c (.f64 0 a))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(.f64 c (.f64 0 a))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(.f64 c (.f64 0 a))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(.f64 c (.f64 0 a))
(.f64 -1 (.f64 c a))
(.f64 c (.f64 0 a))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(.f64 c (.f64 0 a))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(.f64 c (.f64 0 a))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(.f64 c (.f64 0 a))
(.f64 -1 (.f64 c a))
(.f64 c (.f64 0 a))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(.f64 c (.f64 0 a))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(.f64 c (.f64 0 a))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(.f64 c (.f64 0 a))
(pow.f64 b_2 2)
(.f64 c (.f64 0 a))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(.f64 c (.f64 0 a))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(.f64 c (.f64 0 a))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(.f64 c (.f64 0 a))
(.f64 -1 (.f64 c a))
(.f64 c (.f64 0 a))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(.f64 c (.f64 0 a))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(.f64 c (.f64 0 a))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(.f64 c (.f64 0 a))
(.f64 -1 (.f64 c a))
(.f64 c (.f64 0 a))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(.f64 c (.f64 0 a))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(.f64 c (.f64 0 a))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(.f64 c (.f64 0 a))
(sqrt.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (*.f64 c a)))
(.f64 c (.f64 0 a))
(+.f64 (.f64 -1 b_2) (sqrt.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a))))
(.f64 c (.f64 0 a))
(+.f64 (.f64 -1 b_2) (+.f64 (sqrt.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a))) (.f64 1/2 (.f64 (pow.f64 b_2 2) (sqrt.f64 (/.f64 1 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (*.f64 c a))))))))
(.f64 c (.f64 0 a))
(+.f64 (.f64 -1 b_2) (+.f64 (.f64 -1/8 (.f64 (pow.f64 b_2 4) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)) 3))))) (+.f64 (sqrt.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a))) (.f64 1/2 (.f64 (pow.f64 b_2 2) (sqrt.f64 (/.f64 1 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)))))))))
(.f64 c (.f64 0 a))
(.f64 1/2 (/.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)) b_2))
(.f64 c (.f64 0 a))
(+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)) b_2)) (.f64 -1/8 (/.f64 (pow.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)) 2) (pow.f64 b_2 3))))
(.f64 c (.f64 0 a))
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(.f64 c (.f64 0 a))
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(.f64 c (.f64 0 a))
(.f64 (-.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a))) (.f64 b_2 b_2)) (/.f64 1 (+.f64 b_2 (sqrt.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a)))))))
(.f64 c (.f64 0 a))
(.f64 (-.f64 (pow.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a))) 3/2) (pow.f64 b_2 3)) (/.f64 1 (+.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a))) (.f64 b_2 (+.f64 b_2 (sqrt.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a)))))))))
(.f64 c (.f64 0 a))
(.f64 (+.f64 (pow.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a))) 1/4) (sqrt.f64 b_2)) (-.f64 (pow.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (*.f64 c a))) 1/4) (sqrt.f64 b_2)))
(.f64 c (.f64 0 a))
(/.f64 1 (/.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a))))) (-.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a))) (*.f64 b_2 b_2))))
(.f64 c (.f64 0 a))
(/.f64 1 (/.f64 (+.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a))) (.f64 b_2 (+.f64 b_2 (sqrt.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a))))))) (-.f64 (pow.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (*.f64 c a))) 3/2) (pow.f64 b_2 3))))
(.f64 c (.f64 0 a))
(/.f64 (-.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a))) (.f64 b_2 b_2)) (+.f64 b_2 (sqrt.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (*.f64 c a))))))
(.f64 c (.f64 0 a))
(/.f64 (-.f64 (pow.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a))) 3/2) (pow.f64 b_2 3)) (+.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a))) (.f64 b_2 (+.f64 b_2 (sqrt.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (*.f64 c a))))))))
(.f64 c (.f64 0 a))
(/.f64 (-.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a))) (.f64 (neg.f64 b_2) (neg.f64 b_2))) (-.f64 (sqrt.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (*.f64 c a)))) (neg.f64 b_2)))
(.f64 c (.f64 0 a))
(/.f64 (+.f64 (pow.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a))) 3/2) (pow.f64 (neg.f64 b_2) 3)) (-.f64 (+.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a))) (.f64 (neg.f64 b_2) (neg.f64 b_2))) (.f64 (sqrt.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a)))) (neg.f64 b_2))))
(.f64 c (.f64 0 a))
(/.f64 (neg.f64 (-.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a))) (.f64 b_2 b_2))) (neg.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (*.f64 c a)))))))
(.f64 c (.f64 0 a))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a))) 3/2) (pow.f64 b_2 3))) (neg.f64 (+.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a))) (.f64 b_2 (+.f64 b_2 (sqrt.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (*.f64 c a)))))))))
(.f64 c (.f64 0 a))
(pow.f64 (-.f64 (sqrt.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a)))) b_2) 1)
(.f64 c (.f64 0 a))
(pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a)))) b_2)) 2)
(.f64 c (.f64 0 a))
(pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a)))) b_2)) 3)
(.f64 c (.f64 0 a))
(pow.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a)))) b_2) 3) 1/3)
(.f64 c (.f64 0 a))
(sqrt.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a)))) b_2) 2))
(.f64 c (.f64 0 a))
(log.f64 (exp.f64 (-.f64 (sqrt.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a)))) b_2)))
(.f64 c (.f64 0 a))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a)))) b_2))))
(.f64 c (.f64 0 a))
(cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a)))) b_2) 3))
(.f64 c (.f64 0 a))
(expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a)))) b_2)))
(.f64 c (.f64 0 a))
(exp.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a)))) b_2)))
(.f64 c (.f64 0 a))
(exp.f64 (.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (*.f64 c a)))) b_2)) 1))
(.f64 c (.f64 0 a))
(log1p.f64 (expm1.f64 (-.f64 (sqrt.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a)))) b_2)))
(.f64 c (.f64 0 a))
(fma.f64 1 (sqrt.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a)))) (neg.f64 b_2))
(.f64 c (.f64 0 a))
(fma.f64 (pow.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a))) 1/4) (pow.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a))) 1/4) (neg.f64 b_2))
(.f64 c (.f64 0 a))
(fma.f64 (cbrt.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a)))) (cbrt.f64 (sqrt.f64 (fma.f64 4 (.f64 a (+.f64 c c)) (fma.f64 b_2 b_2 (.f64 c a))))) (neg.f64 b_2))
(.f64 c (.f64 0 a))

eval405.0ms (2.9%)

Compiler: Compiled 39050 to 12822 computations (67.2% saved)

prune412.0ms (3%)

Pruning

34 alts after pruning (29 fresh and 5 done)

	Pruned	Kept	Total
New	1387	21	1408
Fresh	4	8	12
Picked	1	0	1
Done	0	5	5
Total	1392	34	1426

Error

8.42%

Counts

1426 → 34

Alt Table

Click to see full alt table

Status	Error	Program
	57.01%	(pow.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)) 3)
	71.41%	(/.f64 (/.f64 (-.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 b_2 b_2)) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))) (neg.f64 b_2))) a)
✓	71.66%	(/.f64 (/.f64 (.f64 -1/2 (.f64 c a)) b_2) a)
	62.12%	(/.f64 (/.f64 (*.f64 -1/2 c) (cbrt.f64 b_2)) (pow.f64 (cbrt.f64 b_2) 2))
	71.43%	(/.f64 (/.f64 1 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (.f64 a c))))) a)
▶	75.82%	(/.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (.f64 c a))) (.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))))))
✓	56.27%	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
✓	71.06%	(/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)
	81.47%	(/.f64 (-.f64 (sqrt.f64 (*.f64 b_2 b_2)) b_2) a)
	90.21%	(/.f64 (-.f64 b_2 b_2) a)
▶	71.58%	(/.f64 (*.f64 (/.f64 -1/2 (/.f64 b_2 a)) c) a)
	62.86%	(/.f64 (*.f64 (/.f64 -1/2 (sqrt.f64 b_2)) c) (sqrt.f64 b_2))
	70.73%	(/.f64 (.f64 (.f64 (/.f64 c (pow.f64 (cbrt.f64 b_2) 2)) a) (/.f64 -1/2 (cbrt.f64 b_2))) a)
	61.47%	(/.f64 (*.f64 c -1/2) b_2)
✓	69.86%	(/.f64 (*.f64 b_2 -2) a)
	74.12%	(/.f64 (.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2)) (.f64 a a))
▶	92.36%	(/.f64 (neg.f64 b_2) a)
	84.58%	(/.f64 (exp.f64 (log.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))) a)
	56.39%	(/.f64 1 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)))
	69.99%	(/.f64 -2 (/.f64 a b_2))
✓	56.32%	(-.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a) (/.f64 b_2 a))
▶	71.06%	(-.f64 (/.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) a) (/.f64 b_2 a))
	93.73%	(-.f64 (+.f64 (/.f64 b_2 a) (*.f64 -1/2 (/.f64 c b_2))) (/.f64 b_2 a))
	90.09%	(-.f64 (sqrt.f64 (/.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (*.f64 a a))) (/.f64 b_2 a))
	75.12%	(+.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a) (+.f64 (fma.f64 (/.f64 -1 a) b_2 (/.f64 b_2 a)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 b_2 a))) (sqrt.f64 (/.f64 b_2 a)) (/.f64 b_2 a))))
	70.22%	(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
	72.74%	(.f64 (/.f64 (/.f64 1 a) (/.f64 b_2 (.f64 c a))) -1/2)
	66.59%	(.f64 (/.f64 (/.f64 1 a) (/.f64 b_2 (.f64 -1/2 c))) a)
	72%	(.f64 (/.f64 (.f64 -1/2 c) (*.f64 a b_2)) a)
	71.75%	(.f64 (/.f64 (.f64 -1/2 c) a) (/.f64 a b_2))
	70.98%	(.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (.f64 (/.f64 c (cbrt.f64 a)) (/.f64 a (/.f64 b_2 -1/2))))
▶	56.39%	(.f64 (/.f64 1 a) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2))
	61.58%	(*.f64 c (/.f64 -1/2 b_2))
	75.39%	(fabs.f64 (*.f64 c (/.f64 -1/2 b_2)))

Compiler

Compiled 974 to 601 computations (38.3% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.65%	(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)
✓	0.73%	(.f64 (/.f64 1 a) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2))
	1.88%	(-.f64 (.f64 b_2 b_2) (.f64 a c))
	39.72%	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

Compiler

Compiled 55 to 14 computations (74.5% saved)

series2.0ms (0%)

Counts

1 → 20

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	a	@	inf	(.f64 (/.f64 1 a) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2))
0.0ms	a	@	-inf	(.f64 (/.f64 1 a) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2))
0.0ms	c	@	inf	(.f64 (/.f64 1 a) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2))
0.0ms	c	@	-inf	(.f64 (/.f64 1 a) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2))
0.0ms	a	@	0	(.f64 (/.f64 1 a) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2))

rewrite89.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1930×	`associate-*l/`
766×	`associate-/r*`
686×	`associate-+l+`
318×	`add-sqr-sqrt`
308×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	35
1	304	35
2	4244	35

Stop Event

1×	node limit

Counts

1 → 130

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c)))) a) (/.f64 (neg.f64 b_2) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 b_2) a) (/.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c)))) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c)))) (/.f64 1 a)) (*.f64 (neg.f64 b_2) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 b_2) (/.f64 1 a)) (*.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c)))) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c)))) b_2) a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c)))) a) (/.f64 b_2 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c)))) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 a) (/.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c))))) (-.f64 (*.f64 b_2 b_2) (fma.f64 b_2 b_2 (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 a) (/.f64 (+.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c))) (*.f64 b_2 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c))))))) (-.f64 (pow.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c))) 3/2) (pow.f64 b_2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c)))) b_2) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c)))) b_2) (neg.f64 (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c)))) b_2) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c)))) b_2)) (/.f64 a (sqrt.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a 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a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c)))) b_2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c)))) b_2) a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c)))) b_2) a)))))))

simplify112.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1314×	`distribute-lft-in`
1310×	`distribute-rgt-in`
1034×	`associate-/l*`
580×	`times-frac`
576×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	440	9018
1	1257	8644
2	5599	8644

Stop Event

1×	node limit

Counts

150 → 195

Calls

Call 1

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

Outputs
(*.f64 -1/2 (/.f64 c b_2))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/2 (/.f64 c b_2) (/.f64 (.f64 -1/8 (.f64 c c)) (/.f64 (pow.f64 b_2 3) a)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2))))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (.f64 a a))) (*.f64 -1/2 (/.f64 c b_2))))
(fma.f64 -1/8 (.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) c)) a) (fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (.f64 a a))) (*.f64 -1/2 (/.f64 c b_2))))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 (.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 3))) 2) (.f64 1/16 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)))) (pow.f64 a 3)) b_2)) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2)))))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (fma.f64 -1/2 (/.f64 (+.f64 (pow.f64 (/.f64 (.f64 -1/8 (.f64 c c)) (pow.f64 b_2 3)) 2) (/.f64 (.f64 1/16 (pow.f64 c 4)) (pow.f64 b_2 6))) (/.f64 b_2 (pow.f64 a 3))) (fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (.f64 a a))) (.f64 -1/2 (/.f64 c b_2)))))
(fma.f64 -1/8 (.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) c)) a) (fma.f64 -1/2 (.f64 (/.f64 (fma.f64 1/16 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)) (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)) 1/64)) b_2) (pow.f64 a 3)) (fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (.f64 a a))) (*.f64 -1/2 (/.f64 c b_2)))))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (.f64 -1 (/.f64 b_2 a)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (/.f64 (neg.f64 b_2) a))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (*.f64 -1 (/.f64 b_2 a))))
(fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 (.f64 b_2 b_2) (sqrt.f64 -1))) (/.f64 (neg.f64 b_2) a)))
(-.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (.f64 (/.f64 (.f64 b_2 b_2) (sqrt.f64 -1)) 1/2))) (/.f64 b_2 a))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (.f64 -1 (/.f64 b_2 a)))))
(fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 (.f64 b_2 b_2) (sqrt.f64 -1))) (/.f64 (neg.f64 b_2) a))))
(fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (-.f64 (fma.f64 (.f64 -1/8 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 5))))) (/.f64 (pow.f64 b_2 4) (.f64 -1 (sqrt.f64 -1))) (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1)) 1/2))) (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 c b_2))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/2 (/.f64 c b_2) (/.f64 (.f64 -1/8 (.f64 c c)) (/.f64 (pow.f64 b_2 3) a)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2))))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (.f64 a a))) (*.f64 -1/2 (/.f64 c b_2))))
(fma.f64 -1/8 (.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) c)) a) (fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (.f64 a a))) (*.f64 -1/2 (/.f64 c b_2))))
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(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(/.f64 (/.f64 (.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (.f64 a c))) (/.f64 1 a)) 1) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a (neg.f64 c))))))
(.f64 (/.f64 (/.f64 1 a) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a (neg.f64 c)))))) (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (.f64 c a))))
(/.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (.f64 c a))) (.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))))))
(/.f64 (/.f64 (.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (.f64 a c))) (/.f64 1 a)) (sqrt.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a (neg.f64 c))))))) (sqrt.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c)))))))
(.f64 (/.f64 (/.f64 1 a) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a (neg.f64 c)))))) (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (.f64 c a))))
(/.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (.f64 c a))) (.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))))))
(/.f64 (/.f64 (.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (.f64 a c))) (/.f64 1 a)) (.f64 (cbrt.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a (neg.f64 c)))))) (cbrt.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a (neg.f64 c)))))))) (cbrt.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c)))))))
(.f64 (/.f64 (/.f64 1 a) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a (neg.f64 c)))))) (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (.f64 c a))))
(/.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (.f64 c a))) (.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))))))
(/.f64 (/.f64 (.f64 (-.f64 (pow.f64 (fma.f64 b_2 b_2 (.f64 a (neg.f64 c))) 3/2) (pow.f64 b_2 3)) (/.f64 1 a)) 1) (+.f64 (fma.f64 b_2 b_2 (.f64 a (neg.f64 c))) (.f64 b_2 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c))))))))
(.f64 (/.f64 (/.f64 1 a) (+.f64 (fma.f64 b_2 b_2 (.f64 a (neg.f64 c))) (.f64 b_2 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a (neg.f64 c)))))))) (-.f64 (pow.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c))) 3/2) (pow.f64 b_2 3)))
(/.f64 (-.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3/2) (pow.f64 b_2 3)) (.f64 a (fma.f64 b_2 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (-.f64 (.f64 b_2 b_2) (*.f64 c a)))))
(/.f64 (/.f64 (.f64 (-.f64 (pow.f64 (fma.f64 b_2 b_2 (.f64 a (neg.f64 c))) 3/2) (pow.f64 b_2 3)) (/.f64 1 a)) (sqrt.f64 (+.f64 (fma.f64 b_2 b_2 (.f64 a (neg.f64 c))) (.f64 b_2 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a (neg.f64 c))))))))) (sqrt.f64 (+.f64 (fma.f64 b_2 b_2 (.f64 a (neg.f64 c))) (.f64 b_2 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a (neg.f64 c)))))))))
(.f64 (/.f64 (/.f64 1 a) (+.f64 (fma.f64 b_2 b_2 (.f64 a (neg.f64 c))) (.f64 b_2 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a (neg.f64 c)))))))) (-.f64 (pow.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c))) 3/2) (pow.f64 b_2 3)))
(/.f64 (-.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3/2) (pow.f64 b_2 3)) (.f64 a (fma.f64 b_2 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (-.f64 (.f64 b_2 b_2) (*.f64 c a)))))
(/.f64 (/.f64 (.f64 (-.f64 (pow.f64 (fma.f64 b_2 b_2 (.f64 a (neg.f64 c))) 3/2) (pow.f64 b_2 3)) (/.f64 1 a)) (.f64 (cbrt.f64 (+.f64 (fma.f64 b_2 b_2 (.f64 a (neg.f64 c))) (.f64 b_2 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a (neg.f64 c)))))))) (cbrt.f64 (+.f64 (fma.f64 b_2 b_2 (.f64 a (neg.f64 c))) (.f64 b_2 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a (neg.f64 c)))))))))) (cbrt.f64 (+.f64 (fma.f64 b_2 b_2 (.f64 a (neg.f64 c))) (.f64 b_2 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a (neg.f64 c)))))))))
(.f64 (/.f64 (/.f64 1 a) (+.f64 (fma.f64 b_2 b_2 (.f64 a (neg.f64 c))) (.f64 b_2 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a (neg.f64 c)))))))) (-.f64 (pow.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c))) 3/2) (pow.f64 b_2 3)))
(/.f64 (-.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3/2) (pow.f64 b_2 3)) (.f64 a (fma.f64 b_2 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (-.f64 (.f64 b_2 b_2) (*.f64 c a)))))
(/.f64 (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c)))) b_2) 1) 1) a)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c)))) b_2) a)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(/.f64 (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c)))) b_2) (sqrt.f64 a)) 1) (sqrt.f64 a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c)))) b_2) a)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(/.f64 (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c)))) b_2) (sqrt.f64 a)) (cbrt.f64 a)) (cbrt.f64 (sqrt.f64 a)))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a (neg.f64 c)))) b_2) (sqrt.f64 a)) (.f64 (cbrt.f64 (sqrt.f64 a)) (cbrt.f64 a)))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) (.f64 (.f64 (cbrt.f64 a) (cbrt.f64 (sqrt.f64 a))) (sqrt.f64 a)))
(/.f64 (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c)))) b_2) (sqrt.f64 a)) (sqrt.f64 (pow.f64 (cbrt.f64 a) 2))) (sqrt.f64 (cbrt.f64 a)))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a (neg.f64 c)))) b_2) (sqrt.f64 a)) (.f64 (sqrt.f64 (cbrt.f64 a)) (sqrt.f64 (pow.f64 (cbrt.f64 a) 2))))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) (.f64 (.f64 (fabs.f64 (cbrt.f64 a)) (sqrt.f64 (cbrt.f64 a))) (sqrt.f64 a)))
(/.f64 (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c)))) b_2) (sqrt.f64 a)) (sqrt.f64 (sqrt.f64 a))) (sqrt.f64 (sqrt.f64 a)))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c)))) b_2) a)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(/.f64 (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c)))) b_2) (pow.f64 (cbrt.f64 a) 2)) 1) (cbrt.f64 a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c)))) b_2) a)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(/.f64 (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c)))) b_2) (pow.f64 (cbrt.f64 a) 2)) (sqrt.f64 (cbrt.f64 a))) (sqrt.f64 (cbrt.f64 a)))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c)))) b_2) a)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(/.f64 (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c)))) b_2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 a) 2))) (cbrt.f64 (cbrt.f64 a)))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a (neg.f64 c)))) b_2) (pow.f64 (cbrt.f64 a) 2)) (.f64 (cbrt.f64 (cbrt.f64 a)) (cbrt.f64 (pow.f64 (cbrt.f64 a) 2))))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) (*.f64 (cbrt.f64 (cbrt.f64 a)) (pow.f64 (cbrt.f64 a) 2))) (cbrt.f64 (pow.f64 (cbrt.f64 a) 2)))
(/.f64 (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a (neg.f64 c)))) b_2) (pow.f64 (cbrt.f64 a) 2)) (.f64 (cbrt.f64 (cbrt.f64 a)) (cbrt.f64 (cbrt.f64 a)))) (cbrt.f64 (cbrt.f64 a)))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c)))) b_2) a)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(/.f64 (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c)))) b_2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 (sqrt.f64 a))) (cbrt.f64 (sqrt.f64 a)))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a (neg.f64 c)))) b_2) (pow.f64 (cbrt.f64 a) 2)) (.f64 (cbrt.f64 (sqrt.f64 a)) (cbrt.f64 (sqrt.f64 a))))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) (.f64 (.f64 (cbrt.f64 (sqrt.f64 a)) (cbrt.f64 (sqrt.f64 a))) (pow.f64 (cbrt.f64 a) 2)))
(/.f64 (/.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c)))) b_2)) 1) (neg.f64 a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c)))) b_2) a)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(/.f64 (/.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c)))) b_2)) (sqrt.f64 a)) (neg.f64 (sqrt.f64 a)))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c)))) b_2) a)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(/.f64 (/.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c)))) b_2)) (pow.f64 (cbrt.f64 a) 2)) (neg.f64 (cbrt.f64 a)))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c)))) b_2) a)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(/.f64 (/.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c)))) b_2)) -1) a)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c)))) b_2) a)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(/.f64 (/.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c)))) b_2)) (sqrt.f64 (neg.f64 a))) (sqrt.f64 (neg.f64 a)))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c)))) b_2) a)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(/.f64 (/.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a (neg.f64 c)))) b_2)) (.f64 (cbrt.f64 (neg.f64 a)) (cbrt.f64 (neg.f64 a)))) (cbrt.f64 (neg.f64 a)))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c)))) b_2) a)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(/.f64 (/.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c)))) b_2)) (neg.f64 (sqrt.f64 a))) (sqrt.f64 a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c)))) b_2) a)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(/.f64 (/.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c)))) b_2)) (neg.f64 (pow.f64 (cbrt.f64 a) 2))) (cbrt.f64 a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c)))) b_2) a)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(pow.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c)))) b_2) a) 1)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c)))) b_2) a)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c)))) b_2) a)) 2)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c)))) b_2) a)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c)))) b_2) a)) 3)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c)))) b_2) a)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(pow.f64 (pow.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c)))) b_2) a) 3) 1/3)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c)))) b_2) a)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c)))) b_2) a) 2))
(fabs.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a))
(log.f64 (exp.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c)))) b_2) a)))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c)))) b_2) a)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c)))) b_2) a))))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c)))) b_2) a)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c)))) b_2) a) 3))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c)))) b_2) a)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(cbrt.f64 (.f64 (/.f64 (pow.f64 a -2) a) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a (neg.f64 c)))) b_2) 3)))
(cbrt.f64 (.f64 (/.f64 (pow.f64 a -2) a) (pow.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))) b_2) 3)))
(cbrt.f64 (.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a (neg.f64 c)))) b_2) 3) (/.f64 (pow.f64 a -2) a)))
(cbrt.f64 (.f64 (/.f64 (pow.f64 a -2) a) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a (neg.f64 c)))) b_2) 3)))
(cbrt.f64 (.f64 (/.f64 (pow.f64 a -2) a) (pow.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))) b_2) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c)))) b_2) a)))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c)))) b_2) a)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(exp.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c)))) b_2) a)))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c)))) b_2) a)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(exp.f64 (.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a (neg.f64 c)))) b_2) a)) 1))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c)))) b_2) a)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c)))) b_2) a)))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c)))) b_2) a)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)

localize5.0ms (0%)

Compiler: Compiled 11 to 5 computations (54.5% saved)

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.42%	(/.f64 -1/2 (/.f64 b_2 a))
✓	6.52%	(*.f64 (/.f64 -1/2 (/.f64 b_2 a)) c)
✓	15.75%	(/.f64 (*.f64 (/.f64 -1/2 (/.f64 b_2 a)) c) a)

Compiler

Compiled 31 to 14 computations (54.8% saved)

series3.0ms (0%)

Counts

3 → 96

Calls

24 calls:

Time	Variable		Point	Expression
0.0ms	a	@	0	(/.f64 -1/2 (/.f64 b_2 a))
0.0ms	b_2	@	0	(/.f64 -1/2 (/.f64 b_2 a))
0.0ms	b_2	@	-inf	(/.f64 -1/2 (/.f64 b_2 a))
0.0ms	a	@	inf	(/.f64 -1/2 (/.f64 b_2 a))
0.0ms	a	@	-inf	(/.f64 -1/2 (/.f64 b_2 a))

rewrite79.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1234×	`associate-/r/`
876×	`unswap-sqr`
846×	`swap-sqr`
734×	`associate-/l/`
464×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	57
1	221	57
2	3117	57

Stop Event

1×	node limit

Counts

3 → 167

Calls

Call 1

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

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (/.f64 a b_2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (/.f64 a b_2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a (/.f64 -1/2 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/2 (/.f64 a b_2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -1/2 (/.f64 a b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 a b_2))) (sqrt.f64 (*.f64 -1/2 (/.f64 a b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 a b_2))) (pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 a b_2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 a b_2))) 2) (cbrt.f64 (*.f64 -1/2 (/.f64 a b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 b_2) a)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a b_2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 a (neg.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -1/2 b_2) 1) a)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -1/2 b_2) (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -1/2 b_2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 b_2) (*.f64 -1/2 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 b_2 a))) (*.f64 -1/2 (sqrt.f64 (/.f64 a b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 2)) (*.f64 -1/2 (cbrt.f64 (/.f64 a b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 (sqrt.f64 b_2)) (/.f64 a (sqrt.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 (pow.f64 (cbrt.f64 b_2) 2)) (/.f64 a (cbrt.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 b_2)) (neg.f64 (*.f64 -1/2 a)))))) (#(struct:change #<rule egg-rr> 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(/.f64 a b_2))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 a b_2))) (sqrt.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 a b_2))))) (*.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 a b_2))) (sqrt.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 a b_2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 a b_2))) 2)) (cbrt.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 a b_2))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 a b_2))) 2)) (cbrt.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 a b_2))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/2 (/.f64 a b_2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 a b_2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 a b_2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/2 (/.f64 a b_2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 b_2 a) -2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 a b_2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/4 (pow.f64 (/.f64 b_2 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/2) (/.f64 a b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 (/.f64 a b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -1/2 (/.f64 a b_2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/2 (/.f64 a b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/2 (/.f64 a b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -1/2 (/.f64 a b_2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/2 (/.f64 a b_2))))))))

simplify100.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1608×	`distribute-lft-in`
902×	`associate-l`
814×	`associate-/l*`
746×	`associate-r`
646×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	401	5851
1	1156	5765
2	5843	5765

Stop Event

1×	node limit

Counts

263 → 222

Calls

Call 1

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

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

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.02%	(-.f64 (/.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) a) (/.f64 b_2 a))
✓	0.31%	(/.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) a)
	19.71%	(sqrt.f64 (*.f64 c (neg.f64 a)))

Compiler

Compiled 38 to 9 computations (76.3% saved)

series5.0ms (0%)

Counts

2 → 14

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	c	@	0	(/.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) a)
0.0ms	b_2	@	0	(-.f64 (/.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) a) (/.f64 b_2 a))
0.0ms	c	@	inf	(/.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) a)
0.0ms	c	@	inf	(-.f64 (/.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) a) (/.f64 b_2 a))
0.0ms	a	@	-inf	(-.f64 (/.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) a) (/.f64 b_2 a))

rewrite152.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1040×	`associate-/r/`
720×	`distribute-rgt-in`
676×	`distribute-lft-in`
532×	`associate-/l/`
282×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	48
1	267	40
2	4154	40

Stop Event

1×	node limit

Counts

2 → 247

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 (*.f64 c a)) a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 c a)) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sqrt.f64 (*.f64 c a)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 c a) 1/4) (*.f64 (pow.f64 (*.f64 c a) 1/4) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 c a)) a)) (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 c a)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 c) (*.f64 (sqrt.f64 a) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 c a)) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 c a))) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 c a)) a)) (cbrt.f64 (/.f64 (*.f64 c a) (*.f64 a a))))))) (#(struct:change 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(*.f64 c a)) b_2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 c a)) b_2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 c a)) b_2) a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 c a)) b_2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 a) (/.f64 b_2 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (sqrt.f64 (*.f64 c a)) a) (/.f64 b_2 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 c a)) a)) (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 c a)) a)) (/.f64 b_2 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 (*.f64 c a) (*.f64 a a))) (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 c a)) a)) (/.f64 b_2 a))))))

simplify129.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1444×	`associate-r`
1222×	`associate-/r*`
1150×	`associate-/l*`
1076×	`associate-l`
834×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	615	15355
1	1976	15257

Stop Event

1×	node limit

Counts

261 → 451

Calls

Call 1

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

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

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	2.5%	(+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))
✓	17.26%	(/.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (.f64 c a))) (.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))))))
✓	35.24%	(-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (.f64 c a)))
✓	39.72%	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))

Compiler

Compiled 88 to 12 computations (86.4% saved)

series24.0ms (0.2%)

Counts

4 → 96

Calls

36 calls:

Time	Variable		Point	Expression
5.0ms	a	@	inf	(/.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (.f64 c a))) (.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))))))
4.0ms	b_2	@	0	(-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (.f64 c a)))
2.0ms	c	@	inf	(/.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (.f64 c a))) (.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))))))
2.0ms	a	@	-inf	(/.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (.f64 c a))) (.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))))))
2.0ms	c	@	-inf	(/.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (.f64 c a))) (.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))))))

rewrite128.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1174×	`associate-/r/`
674×	`associate-+l+`
414×	`+-commutative`
398×	`add-sqr-sqrt`
392×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	146
1	370	146
2	5709	146

Stop Event

1×	node limit

Counts

4 → 232

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/4) (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 6) (pow.f64 (.f64 c a) 3))) (sqrt.f64 (+.f64 (pow.f64 b_2 4) (.f64 (.f64 c a) (fma.f64 b_2 b_2 (.f64 c a))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 4) (pow.f64 (.f64 c a) 2))) (hypot.f64 b_2 (sqrt.f64 (.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 b_2 b_2) (neg.f64 (fma.f64 b_2 b_2 (.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 b_2 b_2) (.f64 (neg.f64 (fma.f64 b_2 b_2 (.f64 c a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 b_2 b_2) (+.f64 (neg.f64 (fma.f64 b_2 b_2 (.f64 c a))) (fma.f64 (neg.f64 (fma.f64 b_2 b_2 (.f64 c a))) 1 (fma.f64 b_2 b_2 (.f64 c a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 b_2 b_2) (+.f64 (.f64 (neg.f64 (fma.f64 b_2 b_2 (.f64 c a))) 1) (fma.f64 (neg.f64 (fma.f64 b_2 b_2 (.f64 c a))) 1 (fma.f64 b_2 b_2 (.f64 c a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 b_2 b_2) (+.f64 (neg.f64 (fma.f64 b_2 b_2 (.f64 c a))) (fma.f64 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a)))) (hypot.f64 b_2 (sqrt.f64 (.f64 c a))) (fma.f64 b_2 b_2 (.f64 c a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 b_2 b_2) (+.f64 (.f64 (neg.f64 (fma.f64 b_2 b_2 (.f64 c a))) 1) (fma.f64 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a)))) (hypot.f64 b_2 (sqrt.f64 (.f64 c a))) (fma.f64 b_2 b_2 (.f64 c a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 b_2 b_2) (+.f64 (neg.f64 (fma.f64 b_2 b_2 (.f64 c a))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 b_2 b_2 (.f64 c a)))) (pow.f64 (cbrt.f64 (fma.f64 b_2 b_2 (.f64 c a))) 2) (fma.f64 b_2 b_2 (.f64 c a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 b_2 b_2) (+.f64 (.f64 (neg.f64 (fma.f64 b_2 b_2 (.f64 c a))) 1) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 b_2 b_2 (.f64 c a)))) (pow.f64 (cbrt.f64 (fma.f64 b_2 b_2 (.f64 c a))) 2) (fma.f64 b_2 b_2 (.f64 c a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 b_2 b_2) (-.f64 (+.f64 (neg.f64 (.f64 c a)) (fma.f64 (neg.f64 a) c (.f64 c a))) (.f64 b_2 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 b_2 b_2) (-.f64 (.f64 (neg.f64 (.f64 c a)) 1) (.f64 b_2 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (-.f64 (fma.f64 (neg.f64 a) c (.f64 c 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a))) (.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (pow.f64 b_2 3) (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3/2)) (-.f64 (pow.f64 b_2 4) (.f64 (-.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))) (-.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))))))) (+.f64 (+.f64 (.f64 c a) (-.f64 (.f64 b_2 b_2) (.f64 b_2 b_2))) (.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (pow.f64 b_2 3) (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3/2)) (+.f64 (pow.f64 b_2 6) (pow.f64 (-.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))) 3))) (+.f64 (pow.f64 b_2 4) (-.f64 (.f64 (-.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))) (-.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))))) (.f64 (.f64 b_2 b_2) (-.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (.f64 c a))) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (+.f64 (.f64 c a) (-.f64 (.f64 b_2 b_2) (.f64 b_2 b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 b_2 b_2 (-.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))))) (+.f64 (pow.f64 b_2 3) (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 c a) (-.f64 (.f64 b_2 b_2) (.f64 b_2 b_2))) (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 b_2 3) (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3/2)) (fma.f64 b_2 b_2 (-.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (.f64 c a) (-.f64 (.f64 b_2 b_2) (.f64 b_2 b_2)))) (neg.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 b_2 3) (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3/2))) (neg.f64 (fma.f64 b_2 b_2 (-.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/4) (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/4) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 b_2) (sqrt.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 b_2) 2) (cbrt.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) b_2)))))

simplify163.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1314×	`associate-r`
1144×	`associate-l`
958×	`associate-/l*`
860×	`*-commutative`
756×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	760	22534
1	2361	18682

Stop Event

1×	node limit

Counts

328 → 418

Calls

Call 1

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

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

eval643.0ms (4.6%)

Compiler: Compiled 52940 to 15760 computations (70.2% saved)

prune771.0ms (5.5%)

Pruning

37 alts after pruning (29 fresh and 8 done)

	Pruned	Kept	Total
New	1802	15	1817
Fresh	10	14	24
Picked	1	0	1
Done	1	8	9
Total	1814	37	1851

Error

8.31%

Counts

1851 → 37

Alt Table

Click to see full alt table

Status	Error	Program
	72.11%	(pow.f64 (cbrt.f64 (*.f64 (/.f64 -1/2 (/.f64 a c)) (/.f64 a b_2))) 3)
	68.45%	(/.f64 (/.f64 (/.f64 (*.f64 -1/2 c) b_2) (/.f64 1 a)) a)
▶	54.42%	(/.f64 (/.f64 (.f64 a (neg.f64 c)) a) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)))))
✓	71.66%	(/.f64 (/.f64 (.f64 -1/2 (.f64 c a)) b_2) a)
✓	56.27%	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
✓	71.06%	(/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)
	81.47%	(/.f64 (-.f64 (sqrt.f64 (*.f64 b_2 b_2)) b_2) a)
	90.21%	(/.f64 (-.f64 b_2 b_2) a)
	88.29%	(/.f64 (.f64 (pow.f64 (pow.f64 (.f64 -1/2 (/.f64 a b_2)) 3) 1/3) c) a)
✓	71.58%	(/.f64 (*.f64 (/.f64 -1/2 (/.f64 b_2 a)) c) a)
	70.2%	(/.f64 (.f64 c (/.f64 (.f64 a (/.f64 -1/2 b_2)) (cbrt.f64 a))) (pow.f64 (cbrt.f64 a) 2))
	60.98%	(/.f64 (.f64 c (neg.f64 a)) (.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))))
	61.47%	(/.f64 (*.f64 c -1/2) b_2)
✓	69.86%	(/.f64 (*.f64 b_2 -2) a)
▶	74.12%	(/.f64 (.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2)) (.f64 a a))
✓	92.36%	(/.f64 (neg.f64 b_2) a)
	56.39%	(/.f64 1 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)))
	69.99%	(/.f64 -2 (/.f64 a b_2))
✓	56.32%	(-.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a) (/.f64 b_2 a))
✓	71.06%	(-.f64 (/.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) a) (/.f64 b_2 a))
	93.73%	(-.f64 (+.f64 (/.f64 b_2 a) (*.f64 -1/2 (/.f64 c b_2))) (/.f64 b_2 a))
	90.09%	(-.f64 (sqrt.f64 (/.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (*.f64 a a))) (/.f64 b_2 a))
	70.22%	(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
	72.74%	(.f64 (/.f64 (/.f64 1 a) (/.f64 b_2 (.f64 c a))) -1/2)
	71.28%	(*.f64 (/.f64 (/.f64 -1/2 b_2) (/.f64 a c)) a)
	68.01%	(.f64 (/.f64 (.f64 -1/2 (/.f64 a b_2)) (/.f64 a 1)) c)
▶	72.17%	(.f64 (/.f64 (.f64 -1/2 c) (/.f64 -1 (/.f64 1 a))) (/.f64 a (neg.f64 b_2)))
▶	72%	(.f64 (/.f64 (.f64 -1/2 c) (*.f64 a b_2)) a)
	71.75%	(.f64 (/.f64 (.f64 -1/2 c) a) (/.f64 a b_2))
	71.11%	(.f64 (/.f64 1 a) (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2))
	73.37%	(.f64 (/.f64 1 a) (+.f64 (.f64 -2 b_2) (.f64 1/2 (/.f64 (.f64 c a) b_2))))
	69.99%	(.f64 (/.f64 1 a) (.f64 b_2 -2))
▶	61.58%	(*.f64 c (/.f64 -1/2 b_2))
	71.48%	(.f64 c (.f64 a (/.f64 -1/2 (*.f64 b_2 a))))
	85.2%	(sqrt.f64 (pow.f64 (.f64 a (/.f64 -1/2 (.f64 (/.f64 a c) b_2))) 2))
	75.39%	(fabs.f64 (*.f64 c (/.f64 -1/2 b_2)))
	83.18%	(exp.f64 (log.f64 (*.f64 (/.f64 -1/2 (/.f64 a c)) (/.f64 a b_2))))

Compiler

Compiled 905 to 613 computations (32.3% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.88%	(-.f64 (.f64 b_2 b_2) (.f64 c a))
	2.5%	(+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))
✓	21.87%	(/.f64 (*.f64 a (neg.f64 c)) a)
	39.72%	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))

Compiler

Compiled 66 to 12 computations (81.8% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	c	@	inf	(/.f64 (*.f64 a (neg.f64 c)) a)
0.0ms	a	@	0	(/.f64 (*.f64 a (neg.f64 c)) a)
0.0ms	c	@	0	(/.f64 (*.f64 a (neg.f64 c)) a)
0.0ms	a	@	inf	(/.f64 (*.f64 a (neg.f64 c)) a)
0.0ms	c	@	-inf	(/.f64 (*.f64 a (neg.f64 c)) a)

rewrite88.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1630×	`add-sqr-sqrt`
1618×	`*-un-lft-identity`
1508×	`add-cube-cbrt`
1484×	`add-cbrt-cube`
172×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	169	13
2	2395	13

Stop Event

1×	node limit

Counts

1 → 42

Calls

Call 1

Inputs
(/.f64 (*.f64 a (neg.f64 c)) a)

Outputs

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

simplify57.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1436×	`associate-+r+`
1386×	`associate-*r/`
1292×	`associate-/l*`
826×	`associate-*l/`
600×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	107	684
1	270	444
2	1122	444
3	6944	444

Stop Event

1×	node limit

Counts

66 → 53

Calls

Call 1

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

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

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.35%	(*.f64 c (/.f64 -1/2 b_2))

Compiler

Compiled 14 to 9 computations (35.7% saved)

series0.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	c	@	0	(*.f64 c (/.f64 -1/2 b_2))
0.0ms	c	@	inf	(*.f64 c (/.f64 -1/2 b_2))
0.0ms	b_2	@	-inf	(*.f64 c (/.f64 -1/2 b_2))
0.0ms	b_2	@	inf	(*.f64 c (/.f64 -1/2 b_2))
0.0ms	c	@	-inf	(*.f64 c (/.f64 -1/2 b_2))

rewrite80.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1446×	`add-sqr-sqrt`
1422×	`*-un-lft-identity`
1328×	`add-cube-cbrt`
1312×	`add-cbrt-cube`
1300×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	148	13
2	1796	13

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

Inputs
(*.f64 c (/.f64 -1/2 b_2))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 c (/.f64 -1/2 b_2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 c (*.f64 b_2 -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 b_2 (*.f64 c -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c -1/2) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c 1/2) (neg.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 c) (neg.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 c -1/2) 1) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 c -1/2) (sqrt.f64 b_2)) (sqrt.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 c -1/2) (cbrt.f64 (*.f64 b_2 b_2))) (cbrt.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 c -1/2)) (neg.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 c (/.f64 -1/2 b_2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 c (/.f64 -1/2 b_2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 c (/.f64 -1/2 b_2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 c (/.f64 -1/2 b_2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 c (/.f64 -1/2 b_2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 -1/2 b_2)) c))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 c (/.f64 -1/2 b_2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 c (/.f64 -1/2 b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 c (/.f64 -1/2 b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 c (/.f64 -1/2 b_2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 c (/.f64 -1/2 b_2))))))))

simplify48.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1562×	`associate-/r/`
1150×	`associate-r`
1034×	`associate-l`
934×	`distribute-lft-neg-out`
702×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	605
1	143	605
2	538	605
3	4095	605

Stop Event

1×	node limit

Counts

45 → 25

Calls

Call 1

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

Outputs
(*.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 (+.f64 1 (*.f64 c (/.f64 -1/2 b_2))) 1)
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 c (*.f64 b_2 -2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 1 (/.f64 b_2 (*.f64 c -1/2)))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 c -1/2) b_2)
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 c 1/2) (neg.f64 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 1/2 c) (neg.f64 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (/.f64 (*.f64 c -1/2) 1) b_2)
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (/.f64 (*.f64 c -1/2) (sqrt.f64 b_2)) (sqrt.f64 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (/.f64 (.f64 c -1/2) (cbrt.f64 (.f64 b_2 b_2))) (cbrt.f64 b_2))
(/.f64 (.f64 -1/2 c) (.f64 (cbrt.f64 b_2) (cbrt.f64 (*.f64 b_2 b_2))))
(.f64 (/.f64 c (cbrt.f64 b_2)) (/.f64 -1/2 (cbrt.f64 (.f64 b_2 b_2))))
(.f64 (/.f64 c (cbrt.f64 (.f64 b_2 b_2))) (/.f64 -1/2 (cbrt.f64 b_2)))
(/.f64 (neg.f64 (*.f64 c -1/2)) (neg.f64 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(pow.f64 (*.f64 c (/.f64 -1/2 b_2)) 1)
(*.f64 -1/2 (/.f64 c b_2))
(pow.f64 (sqrt.f64 (*.f64 c (/.f64 -1/2 b_2))) 2)
(*.f64 -1/2 (/.f64 c b_2))
(pow.f64 (cbrt.f64 (*.f64 c (/.f64 -1/2 b_2))) 3)
(*.f64 -1/2 (/.f64 c b_2))
(pow.f64 (pow.f64 (*.f64 c (/.f64 -1/2 b_2)) 3) 1/3)
(*.f64 -1/2 (/.f64 c b_2))
(sqrt.f64 (pow.f64 (*.f64 c (/.f64 -1/2 b_2)) 2))
(*.f64 -1/2 (/.f64 c b_2))
(log.f64 (pow.f64 (exp.f64 (/.f64 -1/2 b_2)) c))
(*.f64 -1/2 (/.f64 c b_2))
(cbrt.f64 (pow.f64 (*.f64 c (/.f64 -1/2 b_2)) 3))
(*.f64 -1/2 (/.f64 c b_2))
(expm1.f64 (log1p.f64 (*.f64 c (/.f64 -1/2 b_2))))
(*.f64 -1/2 (/.f64 c b_2))
(exp.f64 (log.f64 (*.f64 c (/.f64 -1/2 b_2))))
(*.f64 -1/2 (/.f64 c b_2))
(exp.f64 (.f64 (log.f64 (.f64 c (/.f64 -1/2 b_2))) 1))
(*.f64 -1/2 (/.f64 c b_2))
(log1p.f64 (expm1.f64 (*.f64 c (/.f64 -1/2 b_2))))
(*.f64 -1/2 (/.f64 c b_2))

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	10.18%	(/.f64 (.f64 -1/2 c) (.f64 a b_2))
✓	14.9%	(.f64 (/.f64 (.f64 -1/2 c) (*.f64 a b_2)) a)

Compiler

Compiled 29 to 14 computations (51.7% saved)

series4.0ms (0%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	c	@	0	(/.f64 (.f64 -1/2 c) (.f64 a b_2))
1.0ms	c	@	inf	(/.f64 (.f64 -1/2 c) (.f64 a b_2))
0.0ms	c	@	-inf	(/.f64 (.f64 -1/2 c) (.f64 a b_2))
0.0ms	b_2	@	0	(/.f64 (.f64 -1/2 c) (.f64 a b_2))
0.0ms	b_2	@	inf	(/.f64 (.f64 -1/2 c) (.f64 a b_2))

rewrite95.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

980×	`unswap-sqr`
918×	`swap-sqr`
518×	`div-inv`
382×	`sqr-pow`
378×	`pow-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	44
1	213	44
2	3020	38

Stop Event

1×	node limit

Counts

2 → 122

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (*.f64 1 (/.f64 (*.f64 -1/2 c) b_2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1 (/.f64 (*.f64 -1/2 c) b_2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 c) (/.f64 (*.f64 a b_2) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 a (*.f64 (/.f64 b_2 c) (*.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 a b_2) (*.f64 -1/2 (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (*.f64 c a)) (*.f64 a b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 a) (*.f64 a (/.f64 b_2 c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a -1/2) (*.f64 a (/.f64 b_2 c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (*.f64 -1/2 (/.f64 c a))) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 -1/2 (/.f64 c a)) a) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -1/2 (*.f64 c a)) a) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -1/2 (*.f64 c a)) b_2) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -1/2 (*.f64 c a)) (sqrt.f64 (*.f64 a b_2))) (sqrt.f64 (*.f64 a b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -1/2 (*.f64 c a)) (pow.f64 (cbrt.f64 (*.f64 a b_2)) 2)) (cbrt.f64 (*.f64 a b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (*.f64 c 1/2)) (*.f64 a (neg.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 1 (/.f64 (*.f64 -1/2 c) b_2)))) (exp.f64 (log1p.f64 (*.f64 1 (/.f64 (*.f64 -1/2 c) b_2))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 1 (/.f64 (*.f64 -1/2 c) b_2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1 (/.f64 (*.f64 -1/2 c) b_2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1 (/.f64 (*.f64 -1/2 c) b_2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1 (/.f64 (*.f64 -1/2 c) b_2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1 (/.f64 (*.f64 -1/2 c) b_2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (*.f64 -1/2 c) (*.f64 a (neg.f64 b_2))) a))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 a (/.f64 (*.f64 -1/2 c) (*.f64 a (neg.f64 b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 -1/2 (*.f64 c a)) (*.f64 a (neg.f64 b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 1 (/.f64 (*.f64 -1/2 c) b_2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 1 (/.f64 (*.f64 -1/2 c) b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1 (/.f64 (*.f64 -1/2 c) b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1 (/.f64 (*.f64 -1/2 c) b_2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 a 3) (pow.f64 (*.f64 (/.f64 c a) (/.f64 -1/2 b_2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (/.f64 c a) (/.f64 -1/2 b_2)) 3) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1 (/.f64 (*.f64 -1/2 c) b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1 (/.f64 (*.f64 -1/2 c) b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1 (/.f64 (*.f64 -1/2 c) b_2))))))))

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simplify78.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1742×	`unswap-sqr`
1216×	`distribute-rgt-in`
1210×	`distribute-lft-in`
744×	`associate-/r/`
666×	`associate-/l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	299	3876
1	846	3794
2	3083	3788

Stop Event

1×	node limit

Counts

194 → 154

Calls

Call 1

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

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

localize18.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.59%	(/.f64 -1 (/.f64 1 a))
✓	21.85%	(.f64 (/.f64 (.f64 -1/2 c) (/.f64 -1 (/.f64 1 a))) (/.f64 a (neg.f64 b_2)))

Compiler

Compiled 49 to 31 computations (36.7% saved)

series2.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	a	@	-inf	(.f64 (/.f64 (.f64 -1/2 c) (/.f64 -1 (/.f64 1 a))) (/.f64 a (neg.f64 b_2)))
0.0ms	a	@	0	(/.f64 -1 (/.f64 1 a))
0.0ms	c	@	0	(.f64 (/.f64 (.f64 -1/2 c) (/.f64 -1 (/.f64 1 a))) (/.f64 a (neg.f64 b_2)))
0.0ms	b_2	@	inf	(.f64 (/.f64 (.f64 -1/2 c) (/.f64 -1 (/.f64 1 a))) (/.f64 a (neg.f64 b_2)))
0.0ms	a	@	inf	(.f64 (/.f64 (.f64 -1/2 c) (/.f64 -1 (/.f64 1 a))) (/.f64 a (neg.f64 b_2)))

rewrite76.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1472×	`associate-/r/`
882×	`associate-/l/`
334×	`add-sqr-sqrt`
326×	`pow1`
326×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	42
1	343	26
2	4937	26

Stop Event

1×	node limit

Counts

2 → 128

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 -1/2 (/.f64 c a)) (/.f64 a b_2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/2 (*.f64 (/.f64 a c) (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/2 (*.f64 (/.f64 b_2 a) (/.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 c (*.f64 (/.f64 b_2 a) (/.f64 a -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 c) (/.f64 (*.f64 a b_2) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 c) (*.f64 a (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 c) (*.f64 (/.f64 b_2 a) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (*.f64 2 (/.f64 a c)) (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (*.f64 (*.f64 2 (/.f64 a c)) b_2) (/.f64 -1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (*.f64 b_2 (*.f64 2 (/.f64 a c))) (/.f64 -1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (/.f64 b_2 a) (neg.f64 (*.f64 2 (/.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 b_2 (*.f64 (/.f64 a (/.f64 a c)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (*.f64 2 (/.f64 a c)) (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 a b_2) (*.f64 -1/2 (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (*.f64 (*.f64 2 (/.f64 a c)) b_2) (/.f64 -1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (*.f64 b_2 (*.f64 2 (/.f64 a c))) (/.f64 -1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 a (*.f64 (*.f64 2 (/.f64 a c)) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 a (*.f64 b_2 (*.f64 2 (/.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 a (*.f64 (*.f64 (*.f64 2 (/.f64 a c)) b_2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 a (*.f64 (*.f64 (*.f64 2 (/.f64 a c)) b_2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 a (*.f64 (*.f64 b_2 (*.f64 2 (/.f64 a c))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 a (*.f64 (*.f64 b_2 (*.f64 2 (/.f64 a c))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (/.f64 c a)) (/.f64 b_2 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 a b_2) (*.f64 2 (/.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 a) (*.f64 (*.f64 (*.f64 2 (/.f64 a c)) b_2) (pow.f64 a -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 a) (*.f64 (*.f64 b_2 (*.f64 2 (/.f64 a c))) (pow.f64 a -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 a) (*.f64 (*.f64 2 (/.f64 a c)) (/.f64 b_2 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 -1/2 c)) (*.f64 (/.f64 b_2 a) (/.f64 a (sqrt.f64 (*.f64 -1/2 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 c)) 2) (*.f64 (/.f64 b_2 a) (/.f64 a (cbrt.f64 (*.f64 -1/2 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (*.f64 (*.f64 2 (/.f64 a c)) b_2) (/.f64 -1 (cbrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (*.f64 b_2 (*.f64 2 (/.f64 a c))) (/.f64 -1 (cbrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (*.f64 2 (/.f64 a c)) (/.f64 b_2 (cbrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 a (/.f64 a c)) -1/2) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (*.f64 c (/.f64 a b_2))) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (*.f64 c a)) (*.f64 a b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c 1/2) (*.f64 (/.f64 b_2 a) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (*.f64 (/.f64 b_2 a) (neg.f64 (/.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 c 1/2) 1) (*.f64 a (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 c 1/2) 1) (*.f64 (/.f64 b_2 a) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (/.f64 a b_2)) (/.f64 a c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 a) (*.f64 (/.f64 a c) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 a) (*.f64 b_2 (/.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 a b_2) -1/2) (/.f64 a c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 a b_2) (*.f64 c 1/2)) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 c 1/2) -1) (*.f64 (/.f64 b_2 a) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 c 1/2) a) (*.f64 a b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -1/2 c) 1) (*.f64 (/.f64 b_2 a) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -1/2 c) (sqrt.f64 a)) (*.f64 (/.f64 b_2 a) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -1/2 c) (pow.f64 (cbrt.f64 a) 2)) (*.f64 (/.f64 b_2 a) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 a (sqrt.f64 b_2)) (*.f64 (*.f64 2 (/.f64 a c)) (sqrt.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 a (pow.f64 (cbrt.f64 b_2) 2)) (*.f64 (*.f64 2 (/.f64 a c)) (cbrt.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 a (*.f64 (sqrt.f64 b_2) (*.f64 2 (/.f64 a c)))) (sqrt.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (/.f64 a (/.f64 a c)) -1/2) (pow.f64 (cbrt.f64 b_2) 2)) (cbrt.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -1/2 c) (*.f64 (sqrt.f64 a) (/.f64 b_2 a))) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -1/2 (*.f64 c (/.f64 a b_2))) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (sqrt.f64 a)) (*.f64 (*.f64 (*.f64 2 (/.f64 a c)) b_2) (pow.f64 a -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (sqrt.f64 a)) (*.f64 (*.f64 b_2 (*.f64 2 (/.f64 a c))) (pow.f64 a -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1 (cbrt.f64 (pow.f64 a -2))) (*.f64 (*.f64 (*.f64 2 (/.f64 a c)) b_2) (/.f64 -1 (cbrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1 (cbrt.f64 (pow.f64 a -2))) (*.f64 (*.f64 b_2 (*.f64 2 (/.f64 a c))) (/.f64 -1 (cbrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (cbrt.f64 (pow.f64 a -2))) (*.f64 (*.f64 (*.f64 2 (/.f64 a c)) b_2) (/.f64 -1 (cbrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (cbrt.f64 (pow.f64 a -2))) (*.f64 (*.f64 b_2 (*.f64 2 (/.f64 a c))) (/.f64 -1 (cbrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a -1/2) (*.f64 b_2 (/.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (*.f64 c 1/2)) (*.f64 a b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 c 1/2)) (*.f64 (/.f64 b_2 a) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (/.f64 a (/.f64 a c)) -1/2)) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 -1/2 (*.f64 c (/.f64 a b_2)))) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 -1/2 (*.f64 c a))) (*.f64 a b_2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 -1/2 (/.f64 c a)) (/.f64 a b_2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (*.f64 -1/2 (/.f64 c a)) (/.f64 a b_2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 -1/2 (/.f64 c a)) (/.f64 a b_2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 -1/2 (/.f64 c a)) (/.f64 a b_2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (*.f64 -1/2 (/.f64 c a)) (/.f64 a b_2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 a b_2)) (*.f64 -1/2 (/.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 -1/2 (/.f64 c a)) (/.f64 a b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 -1/2 (/.f64 c a)) (/.f64 a b_2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 -1/2 (/.f64 c a)) 3) (pow.f64 (/.f64 a b_2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 a b_2) 3) (pow.f64 (*.f64 -1/2 (/.f64 c a)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 -1/2 (/.f64 c a)) (/.f64 a b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 -1/2 (/.f64 c a)) (/.f64 a b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 -1/2 (/.f64 c a)) (/.f64 a b_2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 -1/2 (/.f64 c a)) (/.f64 a b_2))))))))

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

simplify71.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1086×	`associate-/l*`
992×	`associate-/r*`
722×	`distribute-lft-neg-in`
692×	`distribute-neg-frac`
648×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	286	2830
1	771	2194
2	4975	2182

Stop Event

1×	node limit

Counts

176 → 161

Calls

Call 1

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

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

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.65%	(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2)
	1.88%	(-.f64 (.f64 b_2 b_2) (.f64 c a))
	39.72%	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))
✓	49.26%	(/.f64 (.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2)) (.f64 a a))

Compiler

Compiled 68 to 11 computations (83.8% saved)

series9.0ms (0.1%)

Counts

2 → 40

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	a	@	-inf	(/.f64 (.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2)) (.f64 a a))
0.0ms	a	@	inf	(/.f64 (.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2)) (.f64 a a))
0.0ms	c	@	inf	(/.f64 (.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2)) (.f64 a a))
0.0ms	a	@	inf	(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2)
0.0ms	c	@	-inf	(/.f64 (.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2)) (.f64 a a))

rewrite109.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1294×	`distribute-lft-in`
704×	`associate-+l+`
682×	`associate-/r/`
566×	`associate-/l/`
340×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	76
1	317	64
2	4911	64

Stop Event

1×	node limit

Counts

2 → 189

Calls

Call 1

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

Outputs

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simplify122.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1028×	`associate-r`
856×	`associate-/l*`
774×	`associate-l`
742×	`times-frac`
672×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	602	13477
1	1804	12429

Stop Event

1×	node limit

Counts

229 → 333

Calls

Call 1

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

Outputs
(*.f64 -1/2 (/.f64 c b_2))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/8 (.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) c)) a) (.f64 -1/2 (/.f64 c b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2))))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (.f64 a a))) (*.f64 -1/2 (/.f64 c b_2))))
(fma.f64 -1/8 (.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) c)) a) (fma.f64 -1/16 (/.f64 (.f64 a a) (/.f64 (pow.f64 b_2 5) (pow.f64 c 3))) (*.f64 -1/2 (/.f64 c b_2))))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 (.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 3))) 2) (.f64 1/16 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)))) (pow.f64 a 3)) b_2)) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2)))))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (fma.f64 -1/2 (/.f64 (+.f64 (pow.f64 (.f64 -1/8 (/.f64 (.f64 c c) (pow.f64 b_2 3))) 2) (.f64 1/16 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)))) (/.f64 b_2 (pow.f64 a 3))) (fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (.f64 a a))) (.f64 -1/2 (/.f64 c b_2)))))
(fma.f64 -1/8 (.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) c)) a) (fma.f64 -1/2 (.f64 (/.f64 (+.f64 (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)) 1/64) (.f64 1/16 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)))) b_2) (pow.f64 a 3)) (fma.f64 -1/16 (/.f64 (.f64 a a) (/.f64 (pow.f64 b_2 5) (pow.f64 c 3))) (.f64 -1/2 (/.f64 c b_2)))))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (.f64 -1 (/.f64 b_2 a)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (/.f64 (neg.f64 b_2) a))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (*.f64 -1 (/.f64 b_2 a))))
(fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1))) (/.f64 (neg.f64 b_2) a)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (-.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (.f64 (/.f64 (.f64 b_2 b_2) (sqrt.f64 -1)) 1/2)) (/.f64 b_2 a)))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (.f64 -1 (/.f64 b_2 a)))))
(fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1))) (/.f64 (neg.f64 b_2) a))))
(fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 4) (.f64 -1 (sqrt.f64 -1)))) (-.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1)) 1/2)) (/.f64 b_2 a))))
(*.f64 -1/2 (/.f64 c b_2))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/8 (.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) c)) a) (.f64 -1/2 (/.f64 c b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2))))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (.f64 a a))) (*.f64 -1/2 (/.f64 c b_2))))
(fma.f64 -1/8 (.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) c)) a) (fma.f64 -1/16 (/.f64 (.f64 a a) (/.f64 (pow.f64 b_2 5) (pow.f64 c 3))) (*.f64 -1/2 (/.f64 c b_2))))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 c 4) (pow.f64 a 4))) (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2)) (.f64 a (pow.f64 b_2 7)))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2)))))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (fma.f64 -1/2 (/.f64 (fma.f64 1/16 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 (.f64 -1/8 (.f64 (.f64 c c) (.f64 a a))) 2)) (.f64 a (pow.f64 b_2 7))) (fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (.f64 a a))) (*.f64 -1/2 (/.f64 c b_2)))))
(fma.f64 -1/8 (.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) c)) a) (fma.f64 -1/2 (/.f64 (fma.f64 1/16 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 1/64)) (.f64 a (pow.f64 b_2 7))) (fma.f64 -1/16 (/.f64 (.f64 a a) (/.f64 (pow.f64 b_2 5) (pow.f64 c 3))) (*.f64 -1/2 (/.f64 c b_2)))))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (*.f64 b_2 -2) a)
(*.f64 (/.f64 b_2 a) -2)
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(fma.f64 -2 (/.f64 b_2 a) (*.f64 (/.f64 c b_2) 1/2))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 c b_2))))
(fma.f64 -2 (/.f64 b_2 a) (fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (.f64 (/.f64 c b_2) 1/2)))
(fma.f64 -2 (/.f64 b_2 a) (fma.f64 1/8 (.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) c)) a) (.f64 (/.f64 c b_2) 1/2)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (.f64 1/2 (/.f64 c b_2)))))
(fma.f64 -2 (/.f64 b_2 a) (fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (.f64 a a))) (*.f64 (/.f64 c b_2) 1/2))))
(fma.f64 -2 (/.f64 b_2 a) (fma.f64 1/8 (.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) c)) a) (fma.f64 1/16 (/.f64 (.f64 a a) (/.f64 (pow.f64 b_2 5) (pow.f64 c 3))) (*.f64 (/.f64 c b_2) 1/2))))
(*.f64 -1/2 (/.f64 c b_2))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/8 (.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) c)) a) (.f64 -1/2 (/.f64 c b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2))))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (.f64 a a))) (*.f64 -1/2 (/.f64 c b_2))))
(fma.f64 -1/8 (.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) c)) a) (fma.f64 -1/16 (/.f64 (.f64 a a) (/.f64 (pow.f64 b_2 5) (pow.f64 c 3))) (*.f64 -1/2 (/.f64 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))) (.f64 a b_2))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (.f64 -1/2 (/.f64 c b_2)))))
(fma.f64 -1/2 (.f64 (/.f64 (pow.f64 c 4) a) (/.f64 (fma.f64 1/16 (/.f64 (pow.f64 a 4) (pow.f64 b_2 6)) (pow.f64 (.f64 -1/8 (/.f64 (.f64 a a) (pow.f64 b_2 3))) 2)) b_2)) (fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (.f64 a a))) (.f64 -1/2 (/.f64 c b_2)))))
(fma.f64 -1/2 (.f64 (/.f64 (pow.f64 c 4) a) (/.f64 (fma.f64 1/16 (/.f64 (pow.f64 a 4) (pow.f64 b_2 6)) (.f64 (/.f64 (pow.f64 a 4) (pow.f64 b_2 6)) 1/64)) b_2)) (fma.f64 -1/8 (.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) c)) a) (fma.f64 -1/16 (/.f64 (.f64 a a) (/.f64 (pow.f64 b_2 5) (pow.f64 c 3))) (*.f64 -1/2 (/.f64 c b_2)))))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))
(.f64 (sqrt.f64 -1) (sqrt.f64 (.f64 c a)))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 b_2))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) (neg.f64 b_2))
(-.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 (.f64 c a))) b_2)
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 -1 b_2) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1))))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (fma.f64 -1 b_2 (.f64 1/2 (.f64 (/.f64 (.f64 b_2 b_2) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (*.f64 c a)))))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (-.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 1 a) c)) (.f64 (/.f64 (.f64 b_2 b_2) (sqrt.f64 -1)) 1/2)) b_2))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 -1 b_2) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (fma.f64 -1 b_2 (fma.f64 -1/8 (.f64 (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 3)))) (.f64 1/2 (.f64 (/.f64 (.f64 b_2 b_2) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (.f64 c a))))))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (-.f64 (fma.f64 -1/8 (.f64 (/.f64 (pow.f64 b_2 4) (.f64 -1 (sqrt.f64 -1))) (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 3)))) (.f64 (sqrt.f64 (/.f64 (/.f64 1 a) c)) (.f64 (/.f64 (.f64 b_2 b_2) (sqrt.f64 -1)) 1/2))) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 (.f64 (.f64 -1/2 a) c) b_2)
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))))
(fma.f64 -1/8 (.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) c)) (.f64 a a)) (/.f64 (.f64 (.f64 -1/2 a) c) b_2))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) (fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))))
(fma.f64 -1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) (fma.f64 -1/8 (.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) c)) (.f64 a a)) (/.f64 (.f64 (*.f64 -1/2 a) c) b_2)))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 c 4) (pow.f64 a 4))) (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2)) (pow.f64 b_2 7))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (*.f64 c a) b_2)))))
(fma.f64 -1/2 (/.f64 (fma.f64 1/16 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 (.f64 -1/8 (.f64 (.f64 c c) (.f64 a a))) 2)) (pow.f64 b_2 7)) (fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) (fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (.f64 -1/2 (/.f64 c (/.f64 b_2 a))))))
(fma.f64 -1/2 (/.f64 (fma.f64 1/16 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 1/64)) (pow.f64 b_2 7)) (fma.f64 -1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) (fma.f64 -1/8 (.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) c)) (.f64 a a)) (/.f64 (.f64 (.f64 -1/2 a) c) b_2))))
(*.f64 -2 b_2)
(*.f64 b_2 -2)
(+.f64 (.f64 -2 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(fma.f64 -2 b_2 (*.f64 1/2 (/.f64 c (/.f64 b_2 a))))
(fma.f64 -2 b_2 (/.f64 (*.f64 c 1/2) (/.f64 b_2 a)))
(+.f64 (.f64 -2 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 c a) b_2))))
(fma.f64 -2 b_2 (fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (*.f64 1/2 (/.f64 c (/.f64 b_2 a)))))
(fma.f64 -2 b_2 (fma.f64 1/8 (.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) c)) (.f64 a a)) (/.f64 (*.f64 c 1/2) (/.f64 b_2 a))))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -2 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))))
(fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) (fma.f64 -2 b_2 (fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (*.f64 1/2 (/.f64 c (/.f64 b_2 a))))))
(fma.f64 1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) (fma.f64 -2 b_2 (fma.f64 1/8 (.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) c)) (.f64 a a)) (/.f64 (.f64 c 1/2) (/.f64 b_2 a)))))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
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(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2)
(/.f64 (/.f64 (.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2)) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2)
(/.f64 (-.f64 (.f64 b_2 b_2) (+.f64 (.f64 a c) (.f64 (neg.f64 b_2) (neg.f64 b_2)))) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) (neg.f64 b_2)))
(/.f64 (.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 a c (.f64 b_2 b_2))) 1) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)))))
(/.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 a c (.f64 b_2 b_2))) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))))
(/.f64 (-.f64 (.f64 b_2 b_2) (+.f64 (.f64 a c) (.f64 (neg.f64 b_2) (neg.f64 b_2)))) (.f64 1 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2))))
(/.f64 (.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 a c (.f64 b_2 b_2))) 1) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)))))
(/.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 a c (.f64 b_2 b_2))) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))))
(/.f64 (-.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 2) (pow.f64 b_2 4)) (.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (+.f64 (.f64 b_2 b_2) (-.f64 (.f64 b_2 b_2) (.f64 a c)))))
(/.f64 (-.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 2) (pow.f64 b_2 4)) (.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (fma.f64 b_2 b_2 (-.f64 (.f64 b_2 b_2) (*.f64 c a)))))
(/.f64 (-.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 2) (pow.f64 b_2 4)) (.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (-.f64 (.f64 b_2 (+.f64 b_2 b_2)) (*.f64 c a))))
(/.f64 (+.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2) (pow.f64 (neg.f64 b_2) 3)) (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (-.f64 (.f64 (neg.f64 b_2) (neg.f64 b_2)) (.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2)))))
(.f64 (-.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3/2) (pow.f64 b_2 3)) (/.f64 1 (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 b_2 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))))))
(/.f64 (-.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3/2) (pow.f64 b_2 3)) (+.f64 (-.f64 (.f64 b_2 (+.f64 b_2 b_2)) (.f64 c a)) (.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))))))
(/.f64 (+.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2) (pow.f64 (neg.f64 b_2) 3)) (.f64 1 (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (-.f64 (.f64 (neg.f64 b_2) (neg.f64 b_2)) (.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) (neg.f64 b_2))))))
(.f64 (-.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3/2) (pow.f64 b_2 3)) (/.f64 1 (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 b_2 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))))))
(/.f64 (-.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3/2) (pow.f64 b_2 3)) (+.f64 (-.f64 (.f64 b_2 (+.f64 b_2 b_2)) (.f64 c a)) (.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2) 3) (pow.f64 (pow.f64 b_2 3) 3)) (.f64 (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (.f64 b_2 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))) (+.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3) (+.f64 (pow.f64 b_2 6) (.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)) 3/2) (pow.f64 b_2 3))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3/2) 3) (pow.f64 (pow.f64 b_2 3) 3)) (.f64 (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 b_2 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))))) (+.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3) (+.f64 (pow.f64 b_2 6) (.f64 (pow.f64 b_2 3) (pow.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)) 3/2))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3/2) 3) (pow.f64 (pow.f64 b_2 3) 3)) (.f64 (+.f64 (-.f64 (.f64 b_2 (+.f64 b_2 b_2)) (.f64 c a)) (.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))) (+.f64 (.f64 (pow.f64 b_2 3) (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3/2)) (+.f64 (pow.f64 b_2 6) (pow.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)) 3)))))
(/.f64 (-.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3) (pow.f64 b_2 6)) (.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (+.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 2) (+.f64 (pow.f64 b_2 4) (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (*.f64 b_2 b_2))))))
(/.f64 (-.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3) (pow.f64 b_2 6)) (.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (+.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 2) (+.f64 (pow.f64 b_2 4) (.f64 (.f64 b_2 b_2) (-.f64 (.f64 b_2 b_2) (*.f64 c a)))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3) (pow.f64 b_2 6)) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))) (+.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 2) (.f64 (.f64 b_2 b_2) (-.f64 (.f64 b_2 (+.f64 b_2 b_2)) (.f64 c a)))))
(/.f64 (-.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3) (pow.f64 b_2 6)) (.f64 (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (.f64 b_2 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))) (+.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2) (pow.f64 b_2 3))))
(/.f64 (-.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3) (pow.f64 b_2 6)) (.f64 (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 b_2 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))))) (+.f64 (pow.f64 b_2 3) (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3/2))))
(/.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3) (pow.f64 b_2 6)) (+.f64 (-.f64 (.f64 b_2 (+.f64 b_2 b_2)) (.f64 c a)) (.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))))) (+.f64 (pow.f64 b_2 3) (pow.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)) 3/2)))
(/.f64 (neg.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (.f64 a c)))) (neg.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))
(/.f64 (.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 a c (.f64 b_2 b_2))) 1) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)))))
(/.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 a c (.f64 b_2 b_2))) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))))
(/.f64 (neg.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (.f64 a c)))) (.f64 1 (neg.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))))))
(/.f64 (.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 a c (.f64 b_2 b_2))) 1) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)))))
(/.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 a c (.f64 b_2 b_2))) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2) (pow.f64 b_2 3))) (neg.f64 (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (.f64 b_2 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))))))))
(.f64 (-.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3/2) (pow.f64 b_2 3)) (/.f64 1 (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 b_2 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))))))
(/.f64 (-.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3/2) (pow.f64 b_2 3)) (+.f64 (-.f64 (.f64 b_2 (+.f64 b_2 b_2)) (.f64 c a)) (.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2) (pow.f64 b_2 3))) (.f64 1 (neg.f64 (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (.f64 b_2 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))))))
(.f64 (-.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3/2) (pow.f64 b_2 3)) (/.f64 1 (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 b_2 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))))))
(/.f64 (-.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3/2) (pow.f64 b_2 3)) (+.f64 (-.f64 (.f64 b_2 (+.f64 b_2 b_2)) (.f64 c a)) (.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))))))
(pow.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) 1)
(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2)
(pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) 2)
(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2)
(pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) 3)
(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2)
(pow.f64 (pow.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) 3) 1/3)
(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2)
(sqrt.f64 (pow.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) 2))
(sqrt.f64 (pow.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) 2))
(fabs.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2))
(log.f64 (exp.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)))
(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2)
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2))))
(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2)
(cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) 3))
(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2)
(cbrt.f64 (/.f64 (pow.f64 (.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2)) 3) (pow.f64 a 3)))
(cbrt.f64 (/.f64 (pow.f64 (.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))) b_2)) 3) (pow.f64 a 3)))
(expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)))
(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2)
(exp.f64 (log.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)))
(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2)
(exp.f64 (-.f64 (log.f64 (.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2))) (log.f64 a)))
(exp.f64 (-.f64 (log.f64 (.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))) b_2))) (log.f64 a)))
(exp.f64 (.f64 (log.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2)) 1))
(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2)
(log1p.f64 (expm1.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)))
(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2)
(fma.f64 1 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2))
(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2)
(fma.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) (neg.f64 b_2))
(fma.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/4) (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/4) (neg.f64 b_2))
(-.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/2) b_2)
(fma.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (neg.f64 b_2))
(fma.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (neg.f64 b_2))

eval654.0ms (4.7%)

Compiler: Compiled 27215 to 9245 computations (66% saved)

prune430.0ms (3.1%)

Pruning

43 alts after pruning (34 fresh and 9 done)

	Pruned	Kept	Total
New	1099	16	1115
Fresh	6	18	24
Picked	1	0	1
Done	3	9	12
Total	1109	43	1152

Error

8.31%

Counts

1152 → 43

Alt Table

Click to see full alt table

Status	Error	Program
	62.13%	(pow.f64 (cbrt.f64 (.f64 1 (/.f64 (.f64 -1/2 c) b_2))) 3)
	68.45%	(/.f64 (/.f64 (/.f64 (*.f64 -1/2 c) b_2) (/.f64 1 a)) a)
	66.39%	(/.f64 (/.f64 (.f64 a (neg.f64 c)) a) (+.f64 (.f64 2 b_2) (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
	66.39%	(/.f64 (/.f64 (.f64 a (neg.f64 c)) a) (+.f64 b_2 (+.f64 b_2 (.f64 -1/2 (/.f64 c (/.f64 b_2 a))))))
	91.14%	(/.f64 (/.f64 a b_2) (*.f64 2 (/.f64 a c)))
✓	56.27%	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
✓	71.06%	(/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)
	90.21%	(/.f64 (-.f64 b_2 b_2) a)
	88.29%	(/.f64 (.f64 (pow.f64 (pow.f64 (.f64 -1/2 (/.f64 a b_2)) 3) 1/3) c) a)
	90.95%	(/.f64 (.f64 (/.f64 a b_2) (.f64 c 1/2)) a)
✓	71.58%	(/.f64 (*.f64 (/.f64 -1/2 (/.f64 b_2 a)) c) a)
	69.1%	(/.f64 (.f64 (.f64 -1/2 (/.f64 c a)) a) b_2)
	70.2%	(/.f64 (.f64 c (/.f64 (.f64 a (/.f64 -1/2 b_2)) (cbrt.f64 a))) (pow.f64 (cbrt.f64 a) 2))
	60.98%	(/.f64 (.f64 c (neg.f64 a)) (.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))))
	61.47%	(/.f64 (*.f64 c -1/2) b_2)
✓	69.86%	(/.f64 (*.f64 b_2 -2) a)
	84.91%	(/.f64 (.f64 a (.f64 b_2 -2)) (*.f64 a a))
	51.01%	(/.f64 (neg.f64 c) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))))
✓	92.36%	(/.f64 (neg.f64 b_2) a)
	90.75%	(/.f64 c (/.f64 b_2 1/2))
	56.39%	(/.f64 1 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)))
	61.86%	(/.f64 1/2 (/.f64 (neg.f64 b_2) c))
	90.92%	(/.f64 -1 (.f64 (.f64 (*.f64 2 (/.f64 a c)) b_2) (/.f64 -1 a)))
	69.99%	(/.f64 -2 (/.f64 a b_2))
✓	71.06%	(-.f64 (/.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) a) (/.f64 b_2 a))
	93.73%	(-.f64 (+.f64 (/.f64 b_2 a) (*.f64 -1/2 (/.f64 c b_2))) (/.f64 b_2 a))
	70.22%	(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
	72.74%	(.f64 (/.f64 (/.f64 1 a) (/.f64 b_2 (.f64 c a))) -1/2)
	71.28%	(*.f64 (/.f64 (/.f64 -1/2 b_2) (/.f64 a c)) a)
	68.01%	(.f64 (/.f64 (.f64 -1/2 (/.f64 a b_2)) (/.f64 a 1)) c)
	91.16%	(.f64 (/.f64 (.f64 -1/2 c) (pow.f64 (cbrt.f64 a) 3)) (/.f64 a (neg.f64 b_2)))
✓	72.17%	(.f64 (/.f64 (.f64 -1/2 c) (/.f64 -1 (/.f64 1 a))) (/.f64 a (neg.f64 b_2)))
	91.16%	(.f64 (/.f64 (.f64 -1/2 c) (*.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a))) (/.f64 a (neg.f64 b_2)))
✓	72%	(.f64 (/.f64 (.f64 -1/2 c) (*.f64 a b_2)) a)
	92.18%	(.f64 (/.f64 (.f64 -1/2 c) (expm1.f64 (log1p.f64 a))) (/.f64 a (neg.f64 b_2)))
	71.11%	(.f64 (/.f64 1 a) (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2))
	73.37%	(.f64 (/.f64 1 a) (+.f64 (.f64 -2 b_2) (.f64 1/2 (/.f64 (.f64 c a) b_2))))
	69.99%	(.f64 (/.f64 1 a) (.f64 b_2 -2))
	85.37%	(.f64 (exp.f64 (log.f64 (.f64 (/.f64 c a) (/.f64 -1/2 b_2)))) a)
✓	61.58%	(*.f64 c (/.f64 -1/2 b_2))
	71.48%	(.f64 c (.f64 a (/.f64 -1/2 (*.f64 b_2 a))))
	75.39%	(fabs.f64 (*.f64 c (/.f64 -1/2 b_2)))
	78.11%	(exp.f64 (log.f64 (*.f64 c (/.f64 -1/2 b_2))))

Compiler

Compiled 573 to 398 computations (30.5% saved)

regimes907.0ms (6.5%)

Counts

71 → 4

Calls

Call 1

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

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

Calls

4 calls:

293.0ms	a
274.0ms	c
184.0ms	b_2
136.0ms	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Results

Error	Segments	Branch
40.11%	10	`a`
9.2%	4	`b_2`
46.59%	5	`c`
21.95%	5	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`

Compiler

Compiled 908 to 376 computations (58.6% saved)

bsearch429.0ms (3.1%)

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
393.0ms	9.639104537132664e+96	2.8925604519760614e+102
21.0ms	-2.0499404085528327e-285	-4.220631862374344e-286
14.0ms	-3.8338275123734266e+111	-1.8628421786822737e+111

Results

236.0ms	211×	body	256	valid
161.0ms	48×	body	2048	valid
9.0ms	29×	body	1024	valid
6.0ms	60×	body	256	invalid
5.0ms	26×	body	512	valid
3.0ms	6×	body	4096	valid
2.0ms	21×	body	256	infinite

Compiler

Compiled 609 to 408 computations (33% saved)

regimes363.0ms (2.6%)

Counts

38 → 3

Calls

Call 1

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

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

Calls

3 calls:

165.0ms	c
99.0ms	a
67.0ms	b_2

Results

Error	Segments	Branch
46.24%	5	`a`
14.81%	3	`b_2`
45.39%	10	`c`

Compiler

Compiled 377 to 194 computations (48.5% saved)

bsearch43.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
29.0ms	1.1050073061652774e-130	3.1173908954466183e-128
13.0ms	-3.8338275123734266e+111	-1.8628421786822737e+111

Results

27.0ms	185×	body	256	valid
5.0ms	45×	body	256	invalid
4.0ms	16×	body	1024	valid
2.0ms	18×	body	256	infinite
1.0ms	7×	body	512	valid

Compiler

Compiled 377 to 256 computations (32.1% saved)

regimes346.0ms (2.5%)

Counts

37 → 3

Calls

Call 1

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

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

Calls

3 calls:

147.0ms	a
125.0ms	c
61.0ms	b_2

Results

Error	Segments	Branch
47.01%	10	`a`
19.46%	3	`b_2`
51.49%	8	`c`

Compiler

Compiled 365 to 189 computations (48.2% saved)

bsearch51.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
28.0ms	1.1050073061652774e-130	3.1173908954466183e-128
23.0ms	-6.766594413377241e-144	-1.0124314469786064e-146

Results

31.0ms	231×	body	256	valid
10.0ms	92×	body	256	invalid
4.0ms	13×	body	1024	valid
2.0ms	9×	body	512	valid
1.0ms	3×	body	2048	valid

Compiler

Compiled 422 to 303 computations (28.2% saved)

regimes277.0ms (2%)

Counts

34 → 2

Calls

Call 1

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

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

Calls

3 calls:

102.0ms	c
102.0ms	a
65.0ms	b_2

Results

Error	Segments	Branch
52.83%	5	`a`
33.76%	2	`b_2`
55.77%	6	`c`

Compiler

Compiled 334 to 179 computations (46.4% saved)

bsearch24.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
24.0ms	1.3434560990674513e-229	3.5965173823577485e-227

Results

14.0ms	124×	body	256	valid
7.0ms	65×	body	256	invalid
1.0ms	4×	body	512	valid

Compiler

Compiled 166 to 127 computations (23.5% saved)

regimes86.0ms (0.6%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

3 calls:

42.0ms	a
34.0ms	c
8.0ms	b_2

Results

Error	Segments	Branch
54.48%	3	`a`
33.87%	2	`b_2`
56.05%	6	`c`

Compiler

Compiled 39 to 26 computations (33.3% saved)

bsearch23.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
23.0ms	1.3434560990674513e-229	3.5965173823577485e-227

Results

15.0ms	126×	body	256	valid
6.0ms	58×	body	256	invalid
0.0ms	2×	body	512	valid

Compiler

Compiled 166 to 127 computations (23.5% saved)

regimes50.0ms (0.4%)

Counts

4 → 2

Calls

Call 1

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

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

Calls

3 calls:

28.0ms	c
14.0ms	a
7.0ms	b_2

Results

Error	Segments	Branch
54.57%	3	`a`
34%	2	`b_2`
56.12%	6	`c`

Compiler

Compiled 34 to 23 computations (32.4% saved)

bsearch23.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
23.0ms	1.3434560990674513e-229	3.5965173823577485e-227

Results

14.0ms	123×	body	256	valid
6.0ms	61×	body	256	invalid
1.0ms	5×	body	512	valid

Compiler

Compiled 166 to 127 computations (23.5% saved)

regimes13.0ms (0.1%)

Accuracy

Total -26.4b remaining (-73.2%)

Threshold costs -26.4b (-73.2%)

Counts

2 → 2

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	b_2
4.0ms	c
3.0ms	a

Results

Error	Segments	Branch
61.58%	1	`a`
56.37%	2	`b_2`
61.58%	1	`c`

Compiler

Compiled 24 to 17 computations (29.2% saved)

bsearch23.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
23.0ms	1.3434560990674513e-229	3.5965173823577485e-227

Results

14.0ms	123×	body	256	valid
6.0ms	57×	body	256	invalid
1.0ms	5×	body	512	valid

Compiler

Compiled 158 to 119 computations (24.7% saved)

simplify15.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

28×	`*-commutative`
24×	`+-commutative`
16×	`sub-neg`
12×	`neg-mul-1`
12×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	480
1	100	480
2	117	480
3	126	480
4	129	480

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 b_2 -3799999999999999755815622191204771792126083032223633173221086030992475035946163361651743420826222197908967522304) (+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2))) (if (<=.f64 b_2 -1607262910779401/1339385758982834151185531311325002263201756014631917009304687985462938813906170153116497973519619822659493341146941433531483931607115392554498072196837321850491820971853028873177634325632796392734744272769130809372947742658424845944895692993259632864321399559710817770957553728956578048354650708508672) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (if (<=.f64 b_2 5199999999999999927281522392693248169990667907370033791293743205857714461383605372510661576228864000) (/.f64 (neg.f64 c) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))) (/.f64 (*.f64 c -1/2) b_2))))
(if (<=.f64 b_2 -3799999999999999755815622191204771792126083032223633173221086030992475035946163361651743420826222197908967522304) (+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2))) (if (<=.f64 b_2 6048387816237235/195109284394749514461349826862072894109287383916560696928697309976585733676235351257519131441468248197489183195087913930965498479955517831643136) (/.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 -5799381063278339/878694100496718043517683302282418331810487718418343092402491322775749527474899974671687634004666183037093927858109549828751614463963730408009475621262727315456) (+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2))) (if (<=.f64 b_2 2438866054934369/97554642197374757230674913431036447054643691958280348464348654988292866838117675628759565720734124098744591597543956965482749239977758915821568) (/.f64 (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2) a) (/.f64 (.f64 c -1/2) b_2)))
(if (<=.f64 b_2 921786315201311/6828046779268970776657768233698567984276232522051489956245767999246374131525255241237946573692471593720760228447675638216590132893818229842292076597586769967201441361422350907866192164773697561322460176523147880429251325990375896362151810433024) (/.f64 (.f64 b_2 -2) a) (/.f64 (.f64 c -1/2) b_2))
(if (<=.f64 b_2 4424574312966293/27312187117075883106631072934794271937104930088205959824983071996985496526101020964951786294769886374883040913790702552866360531575272919369168306390347079868805765445689403631464768659094790245289840706092591521717005303961503585448607241732096) (/.f64 (.f64 b_2 -2) a) (.f64 c (/.f64 -1/2 b_2)))
(if (<=.f64 b_2 1399749589750139/6828046779268970776657768233698567984276232522051489956245767999246374131525255241237946573692471593720760228447675638216590132893818229842292076597586769967201441361422350907866192164773697561322460176523147880429251325990375896362151810433024) (/.f64 -2 (/.f64 a b_2)) (*.f64 c (/.f64 -1/2 b_2)))
(if (<=.f64 b_2 921786315201311/6828046779268970776657768233698567984276232522051489956245767999246374131525255241237946573692471593720760228447675638216590132893818229842292076597586769967201441361422350907866192164773697561322460176523147880429251325990375896362151810433024) (/.f64 (neg.f64 b_2) a) (*.f64 c (/.f64 -1/2 b_2)))
(/.f64 (neg.f64 b_2) a)

Outputs
(if (<=.f64 b_2 -3799999999999999755815622191204771792126083032223633173221086030992475035946163361651743420826222197908967522304) (+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2))) (if (<=.f64 b_2 -1607262910779401/1339385758982834151185531311325002263201756014631917009304687985462938813906170153116497973519619822659493341146941433531483931607115392554498072196837321850491820971853028873177634325632796392734744272769130809372947742658424845944895692993259632864321399559710817770957553728956578048354650708508672) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (if (<=.f64 b_2 5199999999999999927281522392693248169990667907370033791293743205857714461383605372510661576228864000) (/.f64 (neg.f64 c) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))) (/.f64 (*.f64 c -1/2) b_2))))
(if (<=.f64 b_2 -3799999999999999755815622191204771792126083032223633173221086030992475035946163361651743420826222197908967522304) (+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2))) (if (<=.f64 b_2 -1607262910779401/1339385758982834151185531311325002263201756014631917009304687985462938813906170153116497973519619822659493341146941433531483931607115392554498072196837321850491820971853028873177634325632796392734744272769130809372947742658424845944895692993259632864321399559710817770957553728956578048354650708508672) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (if (<=.f64 b_2 5199999999999999927281522392693248169990667907370033791293743205857714461383605372510661576228864000) (/.f64 (neg.f64 c) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) (/.f64 (*.f64 c -1/2) b_2))))
(if (<=.f64 b_2 -3799999999999999755815622191204771792126083032223633173221086030992475035946163361651743420826222197908967522304) (+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2))) (if (<=.f64 b_2 6048387816237235/195109284394749514461349826862072894109287383916560696928697309976585733676235351257519131441468248197489183195087913930965498479955517831643136) (/.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 -5799381063278339/878694100496718043517683302282418331810487718418343092402491322775749527474899974671687634004666183037093927858109549828751614463963730408009475621262727315456) (+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2))) (if (<=.f64 b_2 2438866054934369/97554642197374757230674913431036447054643691958280348464348654988292866838117675628759565720734124098744591597543956965482749239977758915821568) (/.f64 (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2) a) (/.f64 (.f64 c -1/2) b_2)))
(if (<=.f64 b_2 -5799381063278339/878694100496718043517683302282418331810487718418343092402491322775749527474899974671687634004666183037093927858109549828751614463963730408009475621262727315456) (+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2))) (if (<=.f64 b_2 2438866054934369/97554642197374757230674913431036447054643691958280348464348654988292866838117675628759565720734124098744591597543956965482749239977758915821568) (/.f64 (-.f64 (sqrt.f64 (.f64 a (neg.f64 c))) b_2) a) (/.f64 (.f64 c -1/2) b_2)))
(if (<=.f64 b_2 921786315201311/6828046779268970776657768233698567984276232522051489956245767999246374131525255241237946573692471593720760228447675638216590132893818229842292076597586769967201441361422350907866192164773697561322460176523147880429251325990375896362151810433024) (/.f64 (.f64 b_2 -2) a) (/.f64 (.f64 c -1/2) b_2))
(if (<=.f64 b_2 4424574312966293/27312187117075883106631072934794271937104930088205959824983071996985496526101020964951786294769886374883040913790702552866360531575272919369168306390347079868805765445689403631464768659094790245289840706092591521717005303961503585448607241732096) (/.f64 (.f64 b_2 -2) a) (.f64 c (/.f64 -1/2 b_2)))
(if (<=.f64 b_2 1399749589750139/6828046779268970776657768233698567984276232522051489956245767999246374131525255241237946573692471593720760228447675638216590132893818229842292076597586769967201441361422350907866192164773697561322460176523147880429251325990375896362151810433024) (/.f64 -2 (/.f64 a b_2)) (*.f64 c (/.f64 -1/2 b_2)))
(if (<=.f64 b_2 921786315201311/6828046779268970776657768233698567984276232522051489956245767999246374131525255241237946573692471593720760228447675638216590132893818229842292076597586769967201441361422350907866192164773697561322460176523147880429251325990375896362151810433024) (/.f64 (neg.f64 b_2) a) (*.f64 c (/.f64 -1/2 b_2)))
(/.f64 (neg.f64 b_2) a)

Compiler

Compiled 205 to 132 computations (35.6% saved)

soundness1.9s (13.5%)

Algorithm

8×	egg-herbie

Rules

1436×	`associate-+r+`
1386×	`associate-*r/`
1314×	`associate-r`
1292×	`associate-/l*`
1144×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	39
1	26	35
2	44	35
3	77	35
4	119	35
5	234	35
6	425	35
7	714	35
8	1198	35
9	1753	35
10	2156	35
11	3722	35
12	5085	35
13	5924	35
14	5932	35
15	5946	35
16	5974	35
17	5990	35
18	6026	35
19	6049	35
20	6061	35
0	13	39
1	26	35
2	44	35
3	77	35
4	119	35
5	234	35
6	425	35
7	714	35
8	1198	35
9	1753	35
10	2156	35
11	3722	35
12	5085	35
13	5924	35
14	5932	35
15	5946	35
16	5974	35
17	5990	35
18	6026	35
19	6049	35
20	6061	35
0	13	39
1	26	35
2	44	35
3	77	35
4	119	35
5	234	35
6	425	35
7	714	35
8	1198	35
9	1753	35
10	2156	35
11	3722	35
12	5085	35
13	5924	35
14	5932	35
15	5946	35
16	5974	35
17	5990	35
18	6026	35
19	6049	35
20	6061	35
0	578	16211
1	1813	14855
0	760	22534
1	2361	18682
0	107	684
1	270	444
2	1122	444
3	6944	444
0	13	39
1	26	35
2	44	35
3	77	35
4	119	35
5	234	35
6	425	35
7	714	35
8	1198	35
9	1753	35
10	2156	35
11	3722	35
12	5085	35
13	5924	35
14	5932	35
15	5946	35
16	5974	35
17	5990	35
18	6026	35
19	6049	35
20	6061	35
0	865	22556
1	2415	21450

Stop Event

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

Compiler

Compiled 631 to 153 computations (75.8% saved)

end75.0ms (0.5%)

Compiler: Compiled 184 to 98 computations (46.7% saved)