Details

analyze359.0ms (3.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
0%	93.6%	6.4%	7
6.2%	87.4%	6.4%	8
10.1%	81.1%	8.7%	9
15.6%	71%	13.4%	10
22%	63%	15%	11
29.1%	52.9%	18.1%	12

Compiler

Compiled 21 to 15 computations (28.6% saved)

sample2.7s (23.3%)

Results

929.0ms	5552×	body	256	valid
595.0ms	1160×	body	2048	valid
370.0ms	403×	body	4096	valid
321.0ms	762×	body	1024	valid
289.0ms	1650×	body	256	invalid
140.0ms	379×	body	512	valid

preprocess79.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

551×	`associate-/l*_binary64`
461×	`fma-neg_binary64`
449×	`div-sub_binary64`
441×	`associate-/r*_binary64`
321×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	104
1	115	96
2	308	96
3	784	88
4	1483	88
5	2847	88
6	6570	88
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) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))
(/.f64 (-.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 4 (.f64 b c))))) (.f64 2 b))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 c a))))) (.f64 2 c))
(/.f64 (-.f64 (neg.f64 c) (sqrt.f64 (-.f64 (.f64 c c) (.f64 4 (.f64 a b))))) (.f64 2 a))

Outputs
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 a 2))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))) (*.f64 a 2))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 a c) -4 (.f64 b b)))) (*.f64 a 2))
(.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4))))) a))
(.f64 (/.f64 -1/2 a) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4))))))
(.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
(/.f64 (-.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 4 (.f64 b c))))) (.f64 2 b))
(/.f64 (-.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 4 (.f64 b c))))) (.f64 b 2))
(/.f64 (-.f64 (neg.f64 a) (sqrt.f64 (fma.f64 a a (.f64 (.f64 b c) -4)))) (*.f64 b 2))
(/.f64 (-.f64 (neg.f64 a) (sqrt.f64 (fma.f64 a a (.f64 c (.f64 b -4))))) (*.f64 b 2))
(.f64 -1/2 (/.f64 (+.f64 a (sqrt.f64 (fma.f64 b (.f64 c -4) (*.f64 a a)))) b))
(.f64 (/.f64 -1/2 b) (+.f64 a (sqrt.f64 (fma.f64 b (.f64 c -4) (*.f64 a a)))))
(.f64 (+.f64 a (sqrt.f64 (fma.f64 b (.f64 c -4) (*.f64 a a)))) (/.f64 -1/2 b))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 c a))))) (.f64 2 c))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 c 2))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))) (*.f64 c 2))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 a c) -4 (.f64 b b)))) (*.f64 c 2))
(.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4))))) c))
(/.f64 (-.f64 (neg.f64 c) (sqrt.f64 (-.f64 (.f64 c c) (.f64 4 (.f64 a b))))) (.f64 2 a))
(/.f64 (-.f64 (neg.f64 c) (sqrt.f64 (-.f64 (.f64 c c) (.f64 4 (.f64 b a))))) (.f64 a 2))
(/.f64 (-.f64 (neg.f64 c) (sqrt.f64 (fma.f64 c c (.f64 (.f64 b a) -4)))) (*.f64 a 2))
(/.f64 (-.f64 (neg.f64 c) (sqrt.f64 (fma.f64 (.f64 b a) -4 (.f64 c c)))) (*.f64 a 2))
(.f64 -1/2 (/.f64 (+.f64 c (sqrt.f64 (fma.f64 c c (.f64 (*.f64 b a) -4)))) a))
(.f64 (/.f64 -1/2 a) (+.f64 c (sqrt.f64 (fma.f64 b (.f64 a -4) (*.f64 c c)))))
(.f64 (+.f64 c (sqrt.f64 (fma.f64 b (.f64 a -4) (*.f64 c c)))) (/.f64 -1/2 a))

Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify146.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1217×	`fma-neg_binary64`
846×	`fma-def_binary64`
776×	`div-sub_binary64`
405×	`times-frac_binary64`
325×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	15	26
1	38	24
2	100	24
3	259	22
4	461	22
5	840	22
6	1793	22
7	3010	22
8	3701	22
9	4761	22
10	6491	22
11	7461	22
12	7587	22
13	7682	22
14	7714	22

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))

Outputs
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 a 2))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))) (*.f64 a 2))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -4))))) (*.f64 a 2))
(.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 (.f64 a c) -4 (*.f64 b b)))) a))
(.f64 (/.f64 -1/2 a) (+.f64 b (sqrt.f64 (fma.f64 (.f64 a c) -4 (*.f64 b b)))))
(.f64 (+.f64 b (sqrt.f64 (fma.f64 (.f64 a c) -4 (*.f64 b b)))) (/.f64 -1/2 a))
(.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))

eval1.0ms (0%)

Compiler: Compiled 35 to 23 computations (34.3% saved)

prune3.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

36.9b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	36.9b	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))
▶	37.0b	(.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))

Compiler

Compiled 38 to 26 computations (31.6% saved)

localize50.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
✓	0.7b	(+.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -4)))))
✓	1.0b	(fma.f64 b b (.f64 a (.f64 c -4)))
✓	24.6b	(sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -4))))

Compiler

Compiled 62 to 36 computations (41.9% saved)

series46.0ms (0.4%)

Counts

4 → 96

Calls

36 calls:

Time	Variable		Point	Expression
4.0ms	b	@	0	(.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
3.0ms	b	@	0	(sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -4))))
2.0ms	a	@	inf	(.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
2.0ms	c	@	inf	(sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -4))))
2.0ms	a	@	inf	(sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -4))))

rewrite218.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

955×	`prod-diff_binary64`
667×	`log-prod_binary64`
286×	`fma-def_binary64`
247×	`expm1-udef_binary64`
247×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	62
1	280	59
2	3655	59

Stop Event

1×	node limit

Counts

4 → 161

Calls

Call 1

Inputs
(sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -4))))
(fma.f64 b b (.f64 a (.f64 c -4)))
(+.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -4)))))
(.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))

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

simplify126.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

665×	`fma-def_binary64`
609×	`fma-neg_binary64`
570×	`associate-r_binary64`
570×	`times-frac_binary64`
536×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	146	2203
1	440	2105
2	1480	1988
3	7141	1952

Stop Event

1×	node limit

Counts

257 → 235

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5)))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(*.f64 -1 b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -1 b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b)))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b))))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(.f64 -4 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(.f64 -4 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(.f64 -4 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(.f64 -4 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(.f64 -4 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))
(+.f64 b (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)))
(+.f64 b (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 b (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
(*.f64 2 b)
(+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b))))
(.f64 2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (pow.f64 (.f64 -2 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (.f64 16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7))) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(*.f64 2 b)
(+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b))))
(*.f64 2 b)
(+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b))))
(.f64 -1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(+.f64 (.f64 -1/2 (/.f64 b a)) (.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(+.f64 (.f64 -1/2 (/.f64 b a)) (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))))
(+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 -1/2 (/.f64 b a)) (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))))
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (.f64 -1 (/.f64 b a))))
(+.f64 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (.f64 -1 (/.f64 b a)))))
(*.f64 -1 (/.f64 c b))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1/4 (/.f64 (+.f64 (pow.f64 (.f64 -2 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (.f64 16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (.f64 a (pow.f64 b 7)))) (+.f64 (.f64 -1 (/.f64 c b)) (.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (.f64 -1 (/.f64 b a))))
(+.f64 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (.f64 -1 (/.f64 b a)))))
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (.f64 -1 (/.f64 b a))))
(+.f64 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (.f64 -1 (/.f64 b a)))))

Outputs
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b (sqrt.f64 -4)) b)) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4))))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (.f64 -4 (sqrt.f64 -4)))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b (sqrt.f64 -4)) b)) (.f64 (/.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32)))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b (sqrt.f64 -4)) b)) (.f64 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 c a) 3))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32)))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5)))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (.f64 -4 (sqrt.f64 -4)))) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))))
(fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b (sqrt.f64 -4)) b)) (.f64 (/.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32))))
(fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b (sqrt.f64 -4)) b)) (.f64 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 c a) 3))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32))))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 -2 (*.f64 (/.f64 c b) a) b)
(fma.f64 -2 (*.f64 a (/.f64 c b)) b)
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(fma.f64 -2 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b 3)) (+.f64 b (.f64 -2 (/.f64 c (/.f64 b a)))))
(fma.f64 -2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (.f64 a a)) c)) (fma.f64 -2 (.f64 (/.f64 c b) a) b))
(fma.f64 -2 (fma.f64 (/.f64 c b) a (.f64 (.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))) b)
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(fma.f64 -2 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b 3)) (+.f64 b (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (.f64 -2 (/.f64 c (/.f64 b a))))))
(+.f64 (fma.f64 -4 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 -2 (/.f64 b (.f64 c a)))) (fma.f64 -2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)) b))
(+.f64 (fma.f64 -4 (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3)) b) (.f64 -2 (fma.f64 (/.f64 c b) a (.f64 (.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3))))))
(+.f64 (fma.f64 -4 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5)) b) (.f64 -2 (fma.f64 (/.f64 c b) a (.f64 (.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3))))))
(*.f64 -1 b)
(neg.f64 b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -1 b))
(fma.f64 2 (/.f64 c (/.f64 b a)) (neg.f64 b))
(-.f64 (/.f64 2 (/.f64 b (*.f64 c a))) b)
(-.f64 (/.f64 c (/.f64 (/.f64 b a) 2)) b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b)))
(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 2 (/.f64 (.f64 (.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (neg.f64 b)))
(fma.f64 2 (+.f64 (.f64 (/.f64 c b) a) (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (.f64 a a)) c))) (neg.f64 b))
(fma.f64 2 (fma.f64 (/.f64 c b) a (.f64 (.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))) (neg.f64 b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b))))
(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (fma.f64 2 (/.f64 (.f64 (.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (neg.f64 b))))
(fma.f64 2 (.f64 (/.f64 c b) a) (-.f64 (fma.f64 2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (.f64 a a)) c)) (.f64 4 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)))) b))
(-.f64 (fma.f64 2 (fma.f64 (/.f64 c b) a (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b 3)))) (.f64 (/.f64 4 (pow.f64 b 5)) (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) b)
(-.f64 (fma.f64 2 (fma.f64 (/.f64 c b) a (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b 3)))) (.f64 (/.f64 4 (pow.f64 b 5)) (pow.f64 (*.f64 c a) 3))) b)
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 -2 (*.f64 (/.f64 c b) a) b)
(fma.f64 -2 (*.f64 a (/.f64 c b)) b)
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(fma.f64 -2 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b 3)) (+.f64 b (.f64 -2 (/.f64 c (/.f64 b a)))))
(fma.f64 -2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (.f64 a a)) c)) (fma.f64 -2 (.f64 (/.f64 c b) a) b))
(fma.f64 -2 (fma.f64 (/.f64 c b) a (.f64 (.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))) b)
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(fma.f64 -2 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b 3)) (+.f64 b (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (.f64 -2 (/.f64 c (/.f64 b a))))))
(+.f64 (fma.f64 -4 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 -2 (/.f64 b (.f64 c a)))) (fma.f64 -2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)) b))
(+.f64 (fma.f64 -4 (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3)) b) (.f64 -2 (fma.f64 (/.f64 c b) a (.f64 (.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3))))))
(+.f64 (fma.f64 -4 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5)) b) (.f64 -2 (fma.f64 (/.f64 c b) a (.f64 (.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3))))))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 -2 (*.f64 (/.f64 c b) a) b)
(fma.f64 -2 (*.f64 a (/.f64 c b)) b)
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(fma.f64 -2 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b 3)) (+.f64 b (.f64 -2 (/.f64 c (/.f64 b a)))))
(fma.f64 -2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (.f64 a a)) c)) (fma.f64 -2 (.f64 (/.f64 c b) a) b))
(fma.f64 -2 (fma.f64 (/.f64 c b) a (.f64 (.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))) b)
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(fma.f64 -2 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b 3)) (+.f64 b (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (.f64 -2 (/.f64 c (/.f64 b a))))))
(+.f64 (fma.f64 -4 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 -2 (/.f64 b (.f64 c a)))) (fma.f64 -2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)) b))
(+.f64 (fma.f64 -4 (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3)) b) (.f64 -2 (fma.f64 (/.f64 c b) a (.f64 (.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3))))))
(+.f64 (fma.f64 -4 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5)) b) (.f64 -2 (fma.f64 (/.f64 c b) a (.f64 (.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3))))))
(.f64 -4 (.f64 c a))
(.f64 (.f64 -4 c) a)
(.f64 c (.f64 a -4))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 -4 c) a))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 -4 c) a))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 -4 c) a))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(pow.f64 b 2)
(*.f64 b b)
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 -4 c) a))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 -4 c) a))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 -4 c) a))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(pow.f64 b 2)
(*.f64 b b)
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 -4 c) a))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 -4 c) a))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 -4 c) a))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(pow.f64 b 2)
(*.f64 b b)
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 -4 c) a))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 -4 c) a))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 -4 c) a))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(.f64 -4 (.f64 c a))
(.f64 (.f64 -4 c) a)
(.f64 c (.f64 a -4))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 -4 c) a))
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(+.f64 (fma.f64 (.f64 (/.f64 b (sqrt.f64 -4)) b) (.f64 -1/4 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3))))) (.f64 -1/2 (fma.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a)) (/.f64 b a)))) (.f64 (/.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) -1/64))
(*.f64 -1 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(neg.f64 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (.f64 -1 (/.f64 b a))))
(+.f64 (+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b)) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(+.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(-.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)) (/.f64 b a))
(fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (-.f64 (/.f64 c b) (/.f64 b a)))
(+.f64 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (.f64 -1 (/.f64 b a)))))
(+.f64 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)) (+.f64 (/.f64 c b) (fma.f64 2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 a a))) (/.f64 (neg.f64 b) a))))
(+.f64 (/.f64 a (/.f64 (pow.f64 b 3) (.f64 c c))) (+.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (.f64 2 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a)))))
(-.f64 (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a (fma.f64 2 (.f64 (*.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (/.f64 c b))) (/.f64 b a))
(fma.f64 2 (.f64 (.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (-.f64 (/.f64 c b) (/.f64 b a))))
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(.f64 -1 (+.f64 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)) (/.f64 c b)))
(-.f64 (neg.f64 (/.f64 c b)) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(neg.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(fma.f64 -1 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1 (/.f64 c b) (.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))))))
(-.f64 (-.f64 (.f64 -2 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a))) (/.f64 c b)) (/.f64 a (/.f64 (pow.f64 b 3) (.f64 c c))))
(-.f64 (/.f64 (.f64 (pow.f64 c 3) (.f64 a (.f64 a -2))) (pow.f64 b 5)) (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a (/.f64 c b)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1/4 (/.f64 (+.f64 (pow.f64 (.f64 -2 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (.f64 16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (.f64 a (pow.f64 b 7)))) (+.f64 (.f64 -1 (/.f64 c b)) (.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(fma.f64 -1 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1/4 (/.f64 (+.f64 (pow.f64 (.f64 -2 (.f64 (.f64 c c) (.f64 a a))) 2) (.f64 16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (.f64 a (pow.f64 b 7))) (fma.f64 -1 (/.f64 c b) (.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 a a)))))))
(-.f64 (fma.f64 -1/4 (/.f64 (fma.f64 16 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (.f64 4 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (.f64 a (pow.f64 b 7))) (-.f64 (.f64 -2 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a))) (/.f64 c b))) (/.f64 a (/.f64 (pow.f64 b 3) (.f64 c c))))
(fma.f64 -1/4 (/.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 20) (.f64 a (pow.f64 b 7))) (-.f64 (/.f64 (.f64 (pow.f64 c 3) (.f64 a (.f64 a -2))) (pow.f64 b 5)) (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b))))
(-.f64 (fma.f64 -1/4 (/.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 20) (.f64 a (pow.f64 b 7))) (/.f64 (.f64 (pow.f64 c 3) (.f64 a (.f64 a -2))) (pow.f64 b 5))) (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)))
(*.f64 -1 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(neg.f64 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (.f64 -1 (/.f64 b a))))
(+.f64 (+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b)) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(+.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(-.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)) (/.f64 b a))
(fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (-.f64 (/.f64 c b) (/.f64 b a)))
(+.f64 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (.f64 -1 (/.f64 b a)))))
(+.f64 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)) (+.f64 (/.f64 c b) (fma.f64 2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 a a))) (/.f64 (neg.f64 b) a))))
(+.f64 (/.f64 a (/.f64 (pow.f64 b 3) (.f64 c c))) (+.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (.f64 2 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a)))))
(-.f64 (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a (fma.f64 2 (.f64 (*.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (/.f64 c b))) (/.f64 b a))
(fma.f64 2 (.f64 (.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (-.f64 (/.f64 c b) (/.f64 b a))))
(*.f64 -1 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(neg.f64 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (.f64 -1 (/.f64 b a))))
(+.f64 (+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b)) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(+.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(-.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)) (/.f64 b a))
(fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (-.f64 (/.f64 c b) (/.f64 b a)))
(+.f64 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (.f64 -1 (/.f64 b a)))))
(+.f64 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)) (+.f64 (/.f64 c b) (fma.f64 2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 a a))) (/.f64 (neg.f64 b) a))))
(+.f64 (/.f64 a (/.f64 (pow.f64 b 3) (.f64 c c))) (+.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (.f64 2 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a)))))
(-.f64 (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a (fma.f64 2 (.f64 (*.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (/.f64 c b))) (/.f64 b a))
(fma.f64 2 (.f64 (.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (-.f64 (/.f64 c b) (/.f64 b a))))

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))
✓	0.7b	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
✓	0.8b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
✓	24.6b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 73 to 32 computations (56.2% saved)

series19.0ms (0.2%)

Counts

4 → 96

Calls

36 calls:

Time	Variable		Point	Expression
3.0ms	a	@	0	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
1.0ms	c	@	inf	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
1.0ms	a	@	inf	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
1.0ms	c	@	-inf	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
1.0ms	c	@	inf	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite168.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

750×	`fma-def_binary64`
382×	`fma-neg_binary64`
283×	`expm1-udef_binary64`
283×	`log1p-udef_binary64`
229×	`log-pow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	74
1	347	62
2	5126	59

Stop Event

1×	node limit

Counts

4 → 394

Calls

Call 1

Inputs
(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))) (cbrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 1/4) (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/2) (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 2)) 1/2) (pow.f64 (cbrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 b 6) (.f64 (pow.f64 (.f64 a c) 3) 64))) (sqrt.f64 (fma.f64 (.f64 4 (.f64 a c)) (fma.f64 4 (.f64 a c) (.f64 b b)) (pow.f64 b 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 b 4) (.f64 (pow.f64 (.f64 a c) 2) 16))) (hypot.f64 b (.f64 2 (sqrt.f64 (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))) (sqrt.f64 (fma.f64 (.f64 a c) -4 (.f64 4 (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (.f64 (.f64 a c) -4)) b)))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (fma.f64 (.f64 a c) -4 (.f64 4 (.f64 a c)))) (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 b b (.f64 (.f64 a c) -4))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))))))))
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#<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))))) 2) (/.f64 (sqrt.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))))) a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))) 2)) 2) (/.f64 (cbrt.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))))) a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))) 2)) 1) (/.f64 (cbrt.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))))) (.f64 a 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))))) 1) (/.f64 (sqrt.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))))) (.f64 a 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (.f64 4 (.f64 a a)))) (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))) (cbrt.f64 (.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))) 2)) (cbrt.f64 (.f64 4 (.f64 a a)))) (cbrt.f64 (.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))))) (cbrt.f64 (.f64 4 (.f64 a a)))) (/.f64 (sqrt.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))))) (cbrt.f64 (.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (.f64 a 2))) (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))) (sqrt.f64 (.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))) 2)) (sqrt.f64 (.f64 a 2))) (/.f64 (cbrt.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))))) (sqrt.f64 (.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))) (/.f64 1/2 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))) (/.f64 1/2 a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))) (/.f64 1/2 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))) (/.f64 1/2 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 2 (/.f64 a (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))) (.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))) (/.f64 1/2 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))))) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))) (/.f64 1/2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))) (/.f64 1/2 a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))) 3) (pow.f64 (.f64 a 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))) (/.f64 1/2 a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b (/.f64 1/2 a) (neg.f64 (.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 b (/.f64 1/2 a)) (neg.f64 (.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (/.f64 b a) (neg.f64 (.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (.f64 b (/.f64 1/2 a)) (neg.f64 (.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (cbrt.f64 (.f64 b (/.f64 1/2 a))) (cbrt.f64 (.f64 b (/.f64 1/2 a)))) (cbrt.f64 (.f64 b (/.f64 1/2 a))) (neg.f64 (.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 b (/.f64 1/2 a))) 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-4))) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 b) 2) (/.f64 (sqrt.f64 b) a) (neg.f64 (.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 a) (/.f64 b 2) (neg.f64 (.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) 2) (/.f64 (cbrt.f64 b) a) (neg.f64 (.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/2 (/.f64 b a) (neg.f64 (.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) 1) (/.f64 (cbrt.f64 b) (.f64 a 2)) (neg.f64 (.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 b) 1) (/.f64 (sqrt.f64 b) (.f64 a 2)) (neg.f64 (.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 (.f64 4 (.f64 a a)))) (/.f64 (cbrt.f64 b) (cbrt.f64 (.f64 a 2))) (neg.f64 (.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 b) (cbrt.f64 (.f64 4 (.f64 a a)))) (/.f64 (sqrt.f64 b) (cbrt.f64 (.f64 a 2))) (neg.f64 (.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 (cbrt.f64 (.f64 4 (.f64 a a)))) (/.f64 b (cbrt.f64 (.f64 a 2))) (neg.f64 (.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (sqrt.f64 (.f64 a 2))) (/.f64 (cbrt.f64 b) (sqrt.f64 (.f64 a 2))) (neg.f64 (.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 b) (sqrt.f64 (.f64 a 2))) (/.f64 (sqrt.f64 b) (sqrt.f64 (.f64 a 2))) (neg.f64 (.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 (sqrt.f64 (.f64 a 2))) (/.f64 b (sqrt.f64 (.f64 a 2))) (neg.f64 (.f64 (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4))) (/.f64 1/2 a))))))))

simplify97.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

708×	`fma-neg_binary64`
706×	`fma-def_binary64`
592×	`associate-r_binary64`
579×	`times-frac_binary64`
559×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	151	2214
1	462	2111
2	1564	2000
3	7470	2000

Stop Event

1×	node limit

Counts

490 → 470

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5)))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(*.f64 -1 b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -1 b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b)))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b))))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(.f64 -4 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(.f64 -4 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(.f64 -4 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(.f64 -4 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(.f64 -4 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))) (.f64 -1 b))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))) (*.f64 -1 b)))
(+.f64 (.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))) (.f64 -1 b))))
(*.f64 -2 b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -2 b) (.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -2 b) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))))
(.f64 -2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (.f64 -2 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (.f64 16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7))) (+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (*.f64 c a) b)))))
(*.f64 -2 b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -2 b) (.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -2 b) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))))
(*.f64 -2 b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -2 b) (.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -2 b) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))))
(.f64 -1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(+.f64 (.f64 -1/2 (/.f64 b a)) (.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(+.f64 (.f64 -1/2 (/.f64 b a)) (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))))
(+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 -1/2 (/.f64 b a)) (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))))
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (.f64 -1 (/.f64 b a))))
(+.f64 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (.f64 -1 (/.f64 b a)))))
(*.f64 -1 (/.f64 c b))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1/4 (/.f64 (+.f64 (pow.f64 (.f64 -2 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (.f64 16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (.f64 a (pow.f64 b 7)))) (+.f64 (.f64 -1 (/.f64 c b)) (.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (.f64 -1 (/.f64 b a))))
(+.f64 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (.f64 -1 (/.f64 b a)))))
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (.f64 -1 (/.f64 b a))))
(+.f64 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (.f64 -1 (/.f64 b a)))))

Outputs
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b (sqrt.f64 -4)) b)) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4))))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (.f64 -4 (sqrt.f64 -4)))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b (sqrt.f64 -4)) b)) (.f64 (/.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32)))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5)))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (.f64 -4 (sqrt.f64 -4)))) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))))
(fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b (sqrt.f64 -4)) b)) (.f64 (/.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32))))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(fma.f64 -2 (*.f64 (/.f64 c b) a) b)
(fma.f64 -2 (*.f64 a (/.f64 c b)) b)
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -2 (*.f64 (/.f64 c b) a) b))
(fma.f64 -2 (fma.f64 (/.f64 c b) a (.f64 (.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))) b)
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (+.f64 b (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(+.f64 b (fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -4 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (.f64 -2 (*.f64 (/.f64 c b) a)))))
(+.f64 b (fma.f64 -2 (fma.f64 (/.f64 c b) a (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b 3)))) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 -4 (pow.f64 a 3)))))
(*.f64 -1 b)
(neg.f64 b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -1 b))
(fma.f64 2 (/.f64 (*.f64 c a) b) (neg.f64 b))
(fma.f64 2 (*.f64 (/.f64 c b) a) (neg.f64 b))
(-.f64 (.f64 (/.f64 2 b) (.f64 c a)) b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b)))
(fma.f64 2 (/.f64 (.f64 c a) b) (fma.f64 2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (neg.f64 b)))
(-.f64 (.f64 2 (+.f64 (.f64 (/.f64 c b) a) (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))))) b)
(-.f64 (.f64 2 (fma.f64 (/.f64 c b) a (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b 3))))) b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b))))
(fma.f64 2 (/.f64 (.f64 c a) b) (fma.f64 4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (fma.f64 2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (neg.f64 b))))
(fma.f64 2 (.f64 (/.f64 c b) a) (fma.f64 4 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (fma.f64 2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (neg.f64 b))))
(fma.f64 4 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (-.f64 (.f64 2 (fma.f64 (/.f64 c b) a (.f64 (.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3))))) b))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(fma.f64 -2 (*.f64 (/.f64 c b) a) b)
(fma.f64 -2 (*.f64 a (/.f64 c b)) b)
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -2 (*.f64 (/.f64 c b) a) b))
(fma.f64 -2 (fma.f64 (/.f64 c b) a (.f64 (.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))) b)
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (+.f64 b (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(+.f64 b (fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -4 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (.f64 -2 (*.f64 (/.f64 c b) a)))))
(+.f64 b (fma.f64 -2 (fma.f64 (/.f64 c b) a (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b 3)))) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 -4 (pow.f64 a 3)))))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(fma.f64 -2 (*.f64 (/.f64 c b) a) b)
(fma.f64 -2 (*.f64 a (/.f64 c b)) b)
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -2 (*.f64 (/.f64 c b) a) b))
(fma.f64 -2 (fma.f64 (/.f64 c b) a (.f64 (.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))) b)
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (+.f64 b (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(+.f64 b (fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -4 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (.f64 -2 (*.f64 (/.f64 c b) a)))))
(+.f64 b (fma.f64 -2 (fma.f64 (/.f64 c b) a (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b 3)))) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 -4 (pow.f64 a 3)))))
(.f64 -4 (.f64 c a))
(.f64 (.f64 c a) -4)
(.f64 c (.f64 a -4))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(pow.f64 b 2)
(*.f64 b b)
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(pow.f64 b 2)
(*.f64 b b)
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(pow.f64 b 2)
(*.f64 b b)
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(+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (.f64 -1 (/.f64 b a))))
(+.f64 (+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b)) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(+.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a))
(-.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)) (/.f64 b a))
(+.f64 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (.f64 -1 (/.f64 b a)))))
(+.f64 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)) (+.f64 (/.f64 c b) (fma.f64 2 (/.f64 (.f64 (pow.f64 c 3) (*.f64 a a)) (pow.f64 b 5)) (/.f64 (neg.f64 b) a))))
(+.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a) (+.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (.f64 (.f64 2 (pow.f64 c 3)) (*.f64 a a)) (pow.f64 b 5))))
(-.f64 (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a (fma.f64 2 (.f64 (*.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (/.f64 c b))) (/.f64 b a))
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(.f64 -1 (+.f64 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)) (/.f64 c b)))
(-.f64 (neg.f64 (/.f64 c b)) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a))
(neg.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(fma.f64 -1 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1 (/.f64 c b) (.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (.f64 a a)) (pow.f64 b 5)))))
(-.f64 (-.f64 (.f64 -2 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a))) (/.f64 c b)) (.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a))
(-.f64 (.f64 -2 (.f64 (.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5)))) (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a (/.f64 c b)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1/4 (/.f64 (+.f64 (pow.f64 (.f64 -2 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (.f64 16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (.f64 a (pow.f64 b 7)))) (+.f64 (.f64 -1 (/.f64 c b)) (.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(fma.f64 -1 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1/4 (/.f64 (+.f64 (pow.f64 (.f64 -2 (.f64 (.f64 c c) (.f64 a a))) 2) (.f64 16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (.f64 a (pow.f64 b 7))) (fma.f64 -1 (/.f64 c b) (.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (*.f64 a a)) (pow.f64 b 5))))))
(-.f64 (fma.f64 -1/4 (/.f64 (fma.f64 16 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (.f64 4 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (.f64 a (pow.f64 b 7))) (-.f64 (.f64 -2 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a))) (/.f64 c b))) (.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a))
(fma.f64 -1/4 (/.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 20) (.f64 a (pow.f64 b 7))) (-.f64 (.f64 -2 (.f64 (.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5)))) (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b))))
(*.f64 -1 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (.f64 -1 (/.f64 b a))))
(+.f64 (+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b)) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(+.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a))
(-.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)) (/.f64 b a))
(+.f64 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (.f64 -1 (/.f64 b a)))))
(+.f64 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)) (+.f64 (/.f64 c b) (fma.f64 2 (/.f64 (.f64 (pow.f64 c 3) (*.f64 a a)) (pow.f64 b 5)) (/.f64 (neg.f64 b) a))))
(+.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a) (+.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (.f64 (.f64 2 (pow.f64 c 3)) (*.f64 a a)) (pow.f64 b 5))))
(-.f64 (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a (fma.f64 2 (.f64 (*.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (/.f64 c b))) (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (.f64 -1 (/.f64 b a))))
(+.f64 (+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b)) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(+.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a))
(-.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)) (/.f64 b a))
(+.f64 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (.f64 -1 (/.f64 b a)))))
(+.f64 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)) (+.f64 (/.f64 c b) (fma.f64 2 (/.f64 (.f64 (pow.f64 c 3) (*.f64 a a)) (pow.f64 b 5)) (/.f64 (neg.f64 b) a))))
(+.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a) (+.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (.f64 (.f64 2 (pow.f64 c 3)) (*.f64 a a)) (pow.f64 b 5))))
(-.f64 (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a (fma.f64 2 (.f64 (*.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (/.f64 c b))) (/.f64 b a))

eval591.0ms (5.2%)

Compiler: Compiled 19038 to 11078 computations (41.8% saved)

prune143.0ms (1.3%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	682	23	705
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	684	23	707

Error

5.4b

Counts

707 → 23

Alt Table

Click to see full alt table

Status	Error	Program
	44.6b	(-.f64 (/.f64 c b) (/.f64 b a))
▶	44.3b	(/.f64 (neg.f64 b) a)
	48.9b	(/.f64 (.f64 (/.f64 -1/2 a) (-.f64 (.f64 b b) (fma.f64 a (.f64 c -4) (.f64 b b)))) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))))
	37.8b	(.f64 (exp.f64 (log.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))))) (/.f64 -1/2 a))
▶	49.4b	(.f64 (+.f64 b (sqrt.f64 (/.f64 (-.f64 (.f64 (.f64 b b) (.f64 b b)) (pow.f64 (.f64 a (.f64 c -4)) 2)) (-.f64 (.f64 b b) (.f64 a (*.f64 c -4)))))) (/.f64 -1/2 a))
	37.0b	(.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c -4))))) (/.f64 -1/2 a))
	42.3b	(/.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 a))
	42.5b	(*.f64 (/.f64 c (/.f64 (/.f64 b a) 2)) (/.f64 -1/2 a))
	49.7b	(.f64 (+.f64 b (sqrt.f64 (.f64 b b))) (/.f64 -1/2 a))
▶	42.3b	(.f64 (.f64 2 (/.f64 (*.f64 c a) b)) (/.f64 -1/2 a))
	50.5b	(pow.f64 (.f64 2 (/.f64 a (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4)))))) -1)
	48.9b	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4)))) (*.f64 2 a))
	44.4b	(*.f64 (+.f64 b b) (/.f64 -1/2 a))
▶	48.9b	(.f64 (+.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))) (/.f64 -1/2 a))
	61.0b	(pow.f64 (pow.f64 (.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4)))) (/.f64 1/2 a)) 3) 1/3)
	50.5b	(.f64 (/.f64 1/2 a) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4)))))
	55.0b	(*.f64 (+.f64 b (neg.f64 b)) (/.f64 -1/2 a))
	38.3b	(+.f64 (.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))) (/.f64 -1/2 a)) (.f64 b (/.f64 -1/2 a)))
	37.7b	(.f64 (+.f64 b (pow.f64 (pow.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)) 1/4) 2)) (/.f64 -1/2 a))
	50.7b	(pow.f64 (cbrt.f64 (.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4)))) (/.f64 1/2 a))) 3)
▶	36.2b	(/.f64 1 (/.f64 a (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))) -1/2)))
	36.3b	(/.f64 (neg.f64 c) b)
	46.0b	(.f64 (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (.f64 2 b)) (/.f64 -1/2 a))

Compiler

Compiled 780 to 546 computations (30% saved)

localize33.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))
✓	0.1b	(/.f64 a (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))) -1/2))
✓	0.1b	(/.f64 1 (/.f64 a (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))) -1/2)))
✓	14.6b	(sqrt.f64 (.f64 a (.f64 c -4)))

Compiler

Compiled 83 to 54 computations (34.9% saved)

series80.0ms (0.7%)

Counts

4 → 42

Calls

33 calls:

Time	Variable		Point	Expression
8.0ms	c	@	inf	(+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))
7.0ms	a	@	inf	(/.f64 1 (/.f64 a (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))) -1/2)))
7.0ms	a	@	inf	(/.f64 a (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))) -1/2))
7.0ms	c	@	inf	(/.f64 a (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))) -1/2))
6.0ms	c	@	inf	(/.f64 1 (/.f64 a (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))) -1/2)))

rewrite124.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

796×	`log-prod_binary64`
689×	`prod-diff_binary64`
275×	`expm1-udef_binary64`
275×	`log1p-udef_binary64`
243×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	69
1	323	66
2	4237	66

Stop Event

1×	node limit

Counts

4 → 169

Calls

Call 1

Inputs
(sqrt.f64 (.f64 a (.f64 c -4)))
(/.f64 1 (/.f64 a (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))) -1/2)))
(/.f64 a (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))) -1/2))
(+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))

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

simplify93.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

808×	`associate-/r*_binary64`
635×	`unswap-sqr_binary64`
416×	`associate-*l/_binary64`
369×	`associate-*r/_binary64`
248×	`associate-+l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	217	1823
1	673	1443
2	2786	1382
3	7192	1375

Stop Event

1×	node limit

Counts

211 → 241

Calls

Call 1

Inputs
(*.f64 -1 (/.f64 b a))
(.f64 -1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(+.f64 (.f64 -1/2 (/.f64 b a)) (.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(+.f64 (.f64 -1/2 (/.f64 b a)) (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))))
(+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 -1/2 (/.f64 b a)) (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))))
(*.f64 -1 (/.f64 b a))
(+.f64 (.f64 -1/4 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (*.f64 -1 (/.f64 b a)))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (.f64 -1/4 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (.f64 -1 (/.f64 b a))))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (.f64 -1/4 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (.f64 -1/32 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (*.f64 -1 (/.f64 b a)))))
(.f64 1/4 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -4) 2)) b))
(+.f64 (.f64 1/4 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))))
(+.f64 (.f64 1/4 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (.f64 1/32 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5)))))
(+.f64 (.f64 -1/4 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (.f64 a (pow.f64 b 7)))) (+.f64 (.f64 1/4 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (.f64 1/32 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))))))
(*.f64 -1 (/.f64 b a))
(*.f64 -1 (/.f64 a b))
(.f64 -2 (.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4))))
(+.f64 (.f64 2 (/.f64 b (.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (.f64 -2 (.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4)))))
(+.f64 (.f64 2 (.f64 (pow.f64 b 2) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))))) (+.f64 (.f64 2 (/.f64 b (.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (.f64 -2 (.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4))))))
(+.f64 (.f64 2 (.f64 (pow.f64 b 2) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))))) (+.f64 (.f64 -2 (.f64 (pow.f64 b 3) (-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 4))))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (sqrt.f64 -4))))))) (+.f64 (.f64 2 (/.f64 b (.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (.f64 -2 (.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4)))))))
(*.f64 -1 (/.f64 a b))
(+.f64 (.f64 -1 (/.f64 a b)) (.f64 1/4 (/.f64 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))))
(+.f64 (.f64 -1 (/.f64 a b)) (+.f64 (.f64 1/4 (/.f64 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 5)))))
(+.f64 (.f64 -1 (/.f64 a b)) (+.f64 (.f64 1/4 (/.f64 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (+.f64 (.f64 2 (/.f64 (+.f64 (.f64 1/32 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 6)))) (.f64 1/128 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 6))))) (pow.f64 b 7))) (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 5))))))
(.f64 4 (/.f64 b (.f64 c (pow.f64 (sqrt.f64 -4) 2))))
(+.f64 (/.f64 a b) (.f64 4 (/.f64 b (.f64 c (pow.f64 (sqrt.f64 -4) 2)))))
(+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 1/4 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2)))) (.f64 -1/8 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))))) (pow.f64 b 3))) (+.f64 (/.f64 a b) (.f64 4 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2))))))
(+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 1/4 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2)))) (.f64 -1/8 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))))) (pow.f64 b 3))) (+.f64 (/.f64 a b) (+.f64 (.f64 4 (/.f64 b (.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (.f64 -2 (/.f64 (+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 4))))) (+.f64 (.f64 1/16 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4)))) (.f64 1/4 (.f64 c (.f64 a (.f64 (pow.f64 (sqrt.f64 -4) 2) (+.f64 (.f64 1/4 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2)))) (.f64 -1/8 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))))))))))) (pow.f64 b 5))))))
(*.f64 -1 (/.f64 a b))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))
(+.f64 b (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)))
(+.f64 b (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 b (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
(*.f64 2 b)
(+.f64 (.f64 1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (.f64 2 b))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 2 b)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (+.f64 (.f64 1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (.f64 2 b))))
(.f64 -1/2 (/.f64 (.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (.f64 -1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5)))))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (.f64 1/2 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (pow.f64 b 7))))))
(*.f64 2 b)
(*.f64 2 b)

Outputs
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(.f64 -1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(.f64 (sqrt.f64 (/.f64 c a)) (.f64 (sqrt.f64 -4) -1/2))
(+.f64 (.f64 -1/2 (/.f64 b a)) (.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(.f64 -1/2 (+.f64 (/.f64 b a) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(+.f64 (.f64 -1/2 (/.f64 b a)) (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))))
(fma.f64 -1/2 (/.f64 b a) (fma.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (.f64 b b) (sqrt.f64 -4))) (.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))))
(fma.f64 (/.f64 b a) -1/2 (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 b (/.f64 (sqrt.f64 -4) b))))))
(fma.f64 (/.f64 b a) -1/2 (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (.f64 (.f64 (/.f64 b (sqrt.f64 -4)) b) -1/4))))
(+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 -1/2 (/.f64 b a)) (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))))
(fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 -1/2 (/.f64 b a) (fma.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (.f64 b b) (sqrt.f64 -4))) (.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))))
(fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (.f64 (sqrt.f64 -4) -4))) (fma.f64 (/.f64 b a) -1/2 (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 b (/.f64 (sqrt.f64 -4) b)))))))
(fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 5))) (/.f64 (pow.f64 b 4) (.f64 (sqrt.f64 -4) -4))) (fma.f64 (/.f64 b a) -1/2 (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (.f64 (.f64 (/.f64 b (sqrt.f64 -4)) b) -1/4)))))
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(+.f64 (.f64 -1/4 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (*.f64 -1 (/.f64 b a)))
(fma.f64 -1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (neg.f64 (/.f64 b a)))
(-.f64 (/.f64 (*.f64 1 c) b) (/.f64 b a))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (.f64 -1/4 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (.f64 -1 (/.f64 b a))))
(fma.f64 1/16 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a (pow.f64 (sqrt.f64 -4) 4)))) (fma.f64 -1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (neg.f64 (/.f64 b a))))
(-.f64 (fma.f64 1/16 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a 16)) (/.f64 (.f64 1 c) b)) (/.f64 b a))
(fma.f64 1/16 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (*.f64 a 16)) (-.f64 (/.f64 c b) (/.f64 b a)))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (.f64 -1/4 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (.f64 -1/32 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (*.f64 -1 (/.f64 b a)))))
(fma.f64 1/16 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a (pow.f64 (sqrt.f64 -4) 4)))) (fma.f64 -1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (fma.f64 -1/32 (/.f64 (.f64 (pow.f64 c 3) (.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5)) (neg.f64 (/.f64 b a)))))
(+.f64 (-.f64 (/.f64 (.f64 (pow.f64 c 3) -1/32) (/.f64 (pow.f64 b 5) (.f64 a (.f64 a -64)))) (/.f64 b a)) (fma.f64 1/16 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a 16)) (/.f64 (*.f64 1 c) b)))
(fma.f64 1/16 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a 16)) (+.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (.f64 -1/32 (.f64 (pow.f64 c 3) (.f64 a a))) (/.f64 (pow.f64 b 5) -64))))
(fma.f64 -1/32 (.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) -64)) (.f64 a a)) (fma.f64 1/16 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (*.f64 a 16)) (-.f64 (/.f64 c b) (/.f64 b a))))
(.f64 1/4 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -4) 2)) b))
(*.f64 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) 1/4)
(/.f64 (*.f64 -1 c) b)
(/.f64 (neg.f64 c) b)
(+.f64 (.f64 1/4 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))))
(fma.f64 1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (.f64 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a (pow.f64 (sqrt.f64 -4) 4)))) -1/16))
(fma.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a 16)) -1/16 (/.f64 (.f64 -1 c) b))
(fma.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (*.f64 a 16)) -1/16 (/.f64 (neg.f64 c) b))
(+.f64 (.f64 1/4 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (.f64 1/32 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5)))))
(fma.f64 1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (fma.f64 -1/16 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a (pow.f64 (sqrt.f64 -4) 4)))) (.f64 (/.f64 (.f64 (pow.f64 c 3) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5)) 1/32)))
(+.f64 (/.f64 (.f64 -1 c) b) (fma.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a 16)) -1/16 (/.f64 (.f64 (.f64 (pow.f64 c 3) 1/32) (.f64 a (.f64 a -64))) (pow.f64 b 5))))
(+.f64 (/.f64 (neg.f64 c) b) (fma.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a 16)) -1/16 (.f64 (.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) -64)) (.f64 a a)) 1/32)))
(+.f64 (.f64 -1/4 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (.f64 a (pow.f64 b 7)))) (+.f64 (.f64 1/4 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (.f64 1/32 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))))))
(fma.f64 -1/4 (/.f64 (fma.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8))) (pow.f64 (.f64 -1/8 (.f64 (.f64 c c) (.f64 (pow.f64 (sqrt.f64 -4) 4) (.f64 a a)))) 2)) (.f64 a (pow.f64 b 7))) (fma.f64 1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (fma.f64 -1/16 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a (pow.f64 (sqrt.f64 -4) 4)))) (.f64 (/.f64 (.f64 (pow.f64 c 3) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5)) 1/32))))
(+.f64 (fma.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a 16)) -1/16 (/.f64 (.f64 (.f64 (pow.f64 c 3) 1/32) (.f64 a (.f64 a -64))) (pow.f64 b 5))) (fma.f64 -1/4 (/.f64 (+.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 16) (pow.f64 (.f64 (.f64 c (.f64 (.f64 a c) a)) -2) 2)) (.f64 a (pow.f64 b 7))) (/.f64 (*.f64 -1 c) b)))
(fma.f64 -1/4 (/.f64 (.f64 (.f64 (pow.f64 a 4) 256) (+.f64 (.f64 1/16 (pow.f64 c 4)) (.f64 (pow.f64 c 4) 1/64))) (.f64 a (pow.f64 b 7))) (+.f64 (/.f64 (neg.f64 c) b) (fma.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a 16)) -1/16 (.f64 (.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) -64)) (*.f64 a a)) 1/32))))
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 a b))
(neg.f64 (/.f64 a b))
(/.f64 (neg.f64 a) b)
(.f64 -2 (.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4))))
(*.f64 -2 (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 -4)))
(+.f64 (.f64 2 (/.f64 b (.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (.f64 -2 (.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4)))))
(fma.f64 2 (/.f64 b (.f64 c (pow.f64 (sqrt.f64 -4) 2))) (.f64 -2 (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4)))))
(fma.f64 -2 (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b c)))
(+.f64 (.f64 2 (.f64 (pow.f64 b 2) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))))) (+.f64 (.f64 2 (/.f64 b (.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (.f64 -2 (.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4))))))
(fma.f64 2 (.f64 (.f64 b b) (.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 a (pow.f64 c 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))) -1/2)) (fma.f64 2 (/.f64 b (.f64 c (pow.f64 (sqrt.f64 -4) 2))) (.f64 -2 (.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4))))))
(fma.f64 2 (.f64 (.f64 b b) (.f64 (sqrt.f64 (/.f64 1 (.f64 a (pow.f64 c 3)))) (.f64 (/.f64 -1/4 (sqrt.f64 -4)) -1/2))) (fma.f64 -2 (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 -4)) (.f64 -1/2 (/.f64 b c))))
(fma.f64 2 (.f64 b (.f64 b (.f64 (sqrt.f64 (/.f64 (/.f64 1 a) (pow.f64 c 3))) (/.f64 1/8 (sqrt.f64 -4))))) (fma.f64 -2 (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 -4)) (.f64 -1/2 (/.f64 b c))))
(+.f64 (.f64 2 (.f64 (pow.f64 b 2) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))))) (+.f64 (.f64 -2 (.f64 (pow.f64 b 3) (-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 4))))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (sqrt.f64 -4))))))) (+.f64 (.f64 2 (/.f64 b (.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (.f64 -2 (.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4)))))))
(fma.f64 2 (.f64 (.f64 b b) (.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 a (pow.f64 c 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))) -1/2)) (fma.f64 -2 (.f64 (pow.f64 b 3) (-.f64 (/.f64 1/2 (.f64 (.f64 c c) (.f64 a (pow.f64 (sqrt.f64 -4) 4)))) (neg.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 a c))) (/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 a (pow.f64 c 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))) -1/2) (sqrt.f64 -4)))))) (fma.f64 2 (/.f64 b (.f64 c (pow.f64 (sqrt.f64 -4) 2))) (.f64 -2 (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4)))))))
(fma.f64 2 (.f64 (.f64 b b) (.f64 (sqrt.f64 (/.f64 1 (.f64 a (pow.f64 c 3)))) (.f64 (/.f64 -1/4 (sqrt.f64 -4)) -1/2))) (fma.f64 -2 (.f64 (pow.f64 b 3) (+.f64 (/.f64 1/2 (.f64 a (.f64 16 (.f64 c c)))) (.f64 (sqrt.f64 (/.f64 1 (.f64 a c))) (/.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 a (pow.f64 c 3)))) (/.f64 -1/4 (sqrt.f64 -4))) (/.f64 (sqrt.f64 -4) -1/2))))) (fma.f64 -2 (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 -4)) (.f64 -1/2 (/.f64 b c)))))
(fma.f64 2 (.f64 b (.f64 b (.f64 (sqrt.f64 (/.f64 (/.f64 1 a) (pow.f64 c 3))) (/.f64 1/8 (sqrt.f64 -4))))) (fma.f64 -2 (.f64 (pow.f64 b 3) (+.f64 (/.f64 (/.f64 1/32 a) (.f64 c c)) (.f64 (sqrt.f64 (/.f64 (/.f64 1 a) c)) (/.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 1 a) (pow.f64 c 3))) -1/2) 16)))) (fma.f64 -2 (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 -4)) (.f64 -1/2 (/.f64 b c)))))
(*.f64 -1 (/.f64 a b))
(neg.f64 (/.f64 a b))
(/.f64 (neg.f64 a) b)
(+.f64 (.f64 -1 (/.f64 a b)) (.f64 1/4 (/.f64 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))))
(fma.f64 -1 (/.f64 a b) (.f64 1/4 (/.f64 (.f64 (.f64 c (.f64 a a)) (pow.f64 (sqrt.f64 -4) 2)) (pow.f64 b 3))))
(-.f64 (/.f64 (.f64 (.f64 (*.f64 a c) a) -1) (pow.f64 b 3)) (/.f64 a b))
(-.f64 (/.f64 (.f64 (neg.f64 c) (.f64 a a)) (pow.f64 b 3)) (/.f64 a b))
(+.f64 (.f64 -1 (/.f64 a b)) (+.f64 (.f64 1/4 (/.f64 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 5)))))
(fma.f64 -1 (/.f64 a b) (fma.f64 1/4 (/.f64 (.f64 (.f64 c (.f64 a a)) (pow.f64 (sqrt.f64 -4) 2)) (pow.f64 b 3)) (.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 5) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4)))))))
(-.f64 (fma.f64 -1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b 5)) (.f64 (pow.f64 a 3) 16)) (/.f64 (.f64 (.f64 (.f64 a c) a) -1) (pow.f64 b 3))) (/.f64 a b))
(-.f64 (fma.f64 -1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b 5)) (.f64 (pow.f64 a 3) 16)) (/.f64 (.f64 (neg.f64 c) (*.f64 a a)) (pow.f64 b 3))) (/.f64 a b))
(+.f64 (.f64 -1 (/.f64 a b)) (+.f64 (.f64 1/4 (/.f64 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (+.f64 (.f64 2 (/.f64 (+.f64 (.f64 1/32 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 6)))) (.f64 1/128 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 6))))) (pow.f64 b 7))) (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 5))))))
(fma.f64 -1 (/.f64 a b) (fma.f64 1/4 (/.f64 (.f64 (.f64 c (.f64 a a)) (pow.f64 (sqrt.f64 -4) 2)) (pow.f64 b 3)) (fma.f64 2 (/.f64 (.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -4) 6) (pow.f64 a 4))) 5/128) (pow.f64 b 7)) (.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4))))))))
(+.f64 (-.f64 (/.f64 (.f64 (.f64 (.f64 a c) a) -1) (pow.f64 b 3)) (/.f64 a b)) (fma.f64 2 (/.f64 (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 4)) -5/2) (pow.f64 b 7)) (.f64 -1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) 16)))))
(+.f64 (-.f64 (/.f64 (.f64 (neg.f64 c) (.f64 a a)) (pow.f64 b 3)) (/.f64 a b)) (fma.f64 2 (/.f64 (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 4)) -5/2) (pow.f64 b 7)) (.f64 (/.f64 -1/8 (pow.f64 b 5)) (.f64 (pow.f64 a 3) (.f64 16 (.f64 c c))))))
(.f64 4 (/.f64 b (.f64 c (pow.f64 (sqrt.f64 -4) 2))))
(/.f64 (.f64 4 b) (.f64 c (pow.f64 (sqrt.f64 -4) 2)))
(*.f64 -1 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(+.f64 (/.f64 a b) (.f64 4 (/.f64 b (.f64 c (pow.f64 (sqrt.f64 -4) 2)))))
(+.f64 (/.f64 a b) (/.f64 (.f64 4 b) (.f64 c (pow.f64 (sqrt.f64 -4) 2))))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (/.f64 a b) (/.f64 (neg.f64 b) c))
(-.f64 (/.f64 a b) (/.f64 b c))
(+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 1/4 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2)))) (.f64 -1/8 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))))) (pow.f64 b 3))) (+.f64 (/.f64 a b) (.f64 4 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2))))))
(fma.f64 -2 (/.f64 (.f64 (.f64 (.f64 c (.f64 a a)) (pow.f64 (sqrt.f64 -4) 2)) 1/8) (pow.f64 b 3)) (+.f64 (/.f64 a b) (/.f64 (.f64 4 b) (.f64 c (pow.f64 (sqrt.f64 -4) 2)))))
(fma.f64 -2 (/.f64 (.f64 (.f64 (.f64 a c) a) -1/2) (pow.f64 b 3)) (+.f64 (/.f64 a b) (.f64 -1 (/.f64 b c))))
(fma.f64 -2 (/.f64 (.f64 (.f64 c (*.f64 a a)) -1/2) (pow.f64 b 3)) (+.f64 (/.f64 a b) (/.f64 (neg.f64 b) c)))
(fma.f64 -2 (/.f64 (.f64 (.f64 c (*.f64 a a)) -1/2) (pow.f64 b 3)) (-.f64 (/.f64 a b) (/.f64 b c)))
(+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 1/4 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2)))) (.f64 -1/8 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))))) (pow.f64 b 3))) (+.f64 (/.f64 a b) (+.f64 (.f64 4 (/.f64 b (.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (.f64 -2 (/.f64 (+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 4))))) (+.f64 (.f64 1/16 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4)))) (.f64 1/4 (.f64 c (.f64 a (.f64 (pow.f64 (sqrt.f64 -4) 2) (+.f64 (.f64 1/4 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2)))) (.f64 -1/8 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))))))))))) (pow.f64 b 5))))))
(fma.f64 -2 (/.f64 (.f64 (.f64 (.f64 c (.f64 a a)) (pow.f64 (sqrt.f64 -4) 2)) 1/8) (pow.f64 b 3)) (+.f64 (/.f64 a b) (fma.f64 4 (/.f64 b (.f64 c (pow.f64 (sqrt.f64 -4) 2))) (.f64 -2 (/.f64 (fma.f64 -2 (/.f64 (fma.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8))) (pow.f64 (.f64 -1/8 (.f64 (.f64 c c) (.f64 (pow.f64 (sqrt.f64 -4) 4) (.f64 a a)))) 2)) (.f64 (.f64 c c) (.f64 a (pow.f64 (sqrt.f64 -4) 4)))) (fma.f64 1/16 (.f64 (.f64 c c) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4))) (.f64 1/4 (.f64 c (.f64 a (.f64 (pow.f64 (sqrt.f64 -4) 2) (.f64 (.f64 (.f64 c (*.f64 a a)) (pow.f64 (sqrt.f64 -4) 2)) 1/8))))))) (pow.f64 b 5))))))
(+.f64 (fma.f64 -2 (/.f64 (fma.f64 -2 (/.f64 (+.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 16) (pow.f64 (.f64 (.f64 c (.f64 (.f64 a c) a)) -2) 2)) (.f64 a (.f64 16 (.f64 c c)))) (fma.f64 1/4 (.f64 a (.f64 c (.f64 -4 (.f64 (.f64 (.f64 a c) a) -1/2)))) (.f64 (.f64 c (.f64 c (pow.f64 a 3))) 1))) (pow.f64 b 5)) (.f64 -1 (/.f64 b c))) (fma.f64 -2 (/.f64 (.f64 (.f64 (.f64 a c) a) -1/2) (pow.f64 b 3)) (/.f64 a b)))
(+.f64 (fma.f64 -2 (/.f64 (+.f64 (.f64 (/.f64 -1/8 a) (/.f64 (.f64 (.f64 (pow.f64 a 4) 256) (+.f64 (.f64 1/16 (pow.f64 c 4)) (.f64 (pow.f64 c 4) 1/64))) (.f64 c c))) (fma.f64 1/4 (.f64 (.f64 a c) (.f64 (.f64 (.f64 c -4) (.f64 a a)) -1/2)) (.f64 (pow.f64 a 3) (.f64 c c)))) (pow.f64 b 5)) (/.f64 (neg.f64 b) c)) (fma.f64 -2 (/.f64 (.f64 (.f64 c (*.f64 a a)) -1/2) (pow.f64 b 3)) (/.f64 a b)))
(+.f64 (-.f64 (/.f64 a b) (/.f64 b c)) (.f64 -2 (+.f64 (/.f64 (+.f64 (.f64 (/.f64 -1/8 a) (/.f64 (.f64 (.f64 (pow.f64 a 4) 256) (+.f64 (.f64 1/16 (pow.f64 c 4)) (.f64 (pow.f64 c 4) 1/64))) (.f64 c c))) (fma.f64 1/4 (.f64 (.f64 a c) (.f64 (.f64 (.f64 c -4) (.f64 a a)) -1/2)) (.f64 (pow.f64 a 3) (.f64 c c)))) (pow.f64 b 5)) (/.f64 (.f64 (.f64 c (.f64 a a)) -1/2) (pow.f64 b 3)))))
(*.f64 -1 (/.f64 a b))
(neg.f64 (/.f64 a b))
(/.f64 (neg.f64 a) b)
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))
(.f64 (sqrt.f64 -4) (sqrt.f64 (.f64 a c)))
(+.f64 b (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)))
(+.f64 b (.f64 (sqrt.f64 -4) (sqrt.f64 (.f64 a c))))
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 a c)) b)
(+.f64 b (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(+.f64 b (fma.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 -4) (.f64 1/2 (.f64 (/.f64 (.f64 b b) (sqrt.f64 -4)) (sqrt.f64 (/.f64 1 (*.f64 a c)))))))
(+.f64 b (fma.f64 (sqrt.f64 -4) (sqrt.f64 (.f64 a c)) (.f64 1/2 (.f64 (/.f64 b (/.f64 (sqrt.f64 -4) b)) (sqrt.f64 (/.f64 1 (.f64 a c)))))))
(+.f64 (fma.f64 (sqrt.f64 -4) (sqrt.f64 (.f64 a c)) b) (.f64 (.f64 (/.f64 b (sqrt.f64 -4)) b) (.f64 1/2 (sqrt.f64 (/.f64 (/.f64 1 a) c)))))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 b (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
(fma.f64 -1/8 (.f64 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 a 3) (pow.f64 c 3))))) (+.f64 b (fma.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 -4) (.f64 1/2 (.f64 (/.f64 (.f64 b b) (sqrt.f64 -4)) (sqrt.f64 (/.f64 1 (*.f64 a c))))))))
(+.f64 (fma.f64 (sqrt.f64 -4) (sqrt.f64 (.f64 a c)) (.f64 1/2 (.f64 (/.f64 b (/.f64 (sqrt.f64 -4) b)) (sqrt.f64 (/.f64 1 (.f64 a c)))))) (fma.f64 -1/8 (.f64 (/.f64 (pow.f64 b 4) (.f64 (sqrt.f64 -4) -4)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 a 3) (pow.f64 c 3))))) b))
(fma.f64 -1/8 (.f64 (/.f64 (pow.f64 b 4) (.f64 (sqrt.f64 -4) -4)) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 a 3) (pow.f64 c 3))))) (+.f64 (fma.f64 (sqrt.f64 -4) (sqrt.f64 (.f64 a c)) b) (.f64 (.f64 (/.f64 b (sqrt.f64 -4)) b) (*.f64 1/2 (sqrt.f64 (/.f64 (/.f64 1 a) c))))))
(*.f64 2 b)
(*.f64 b 2)
(+.f64 (.f64 1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (.f64 2 b))
(fma.f64 1/2 (/.f64 (.f64 (.f64 a c) (pow.f64 (sqrt.f64 -4) 2)) b) (*.f64 b 2))
(fma.f64 b 2 (.f64 1/2 (/.f64 (.f64 a (*.f64 c -4)) b)))
(fma.f64 b 2 (.f64 (/.f64 1/2 b) (.f64 a (*.f64 c -4))))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 2 b)))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 (pow.f64 (sqrt.f64 -4) 4) (.f64 a a)))) (fma.f64 1/2 (/.f64 (.f64 (.f64 a c) (pow.f64 (sqrt.f64 -4) 2)) b) (.f64 b 2)))
(+.f64 (fma.f64 b 2 (.f64 1/2 (/.f64 (.f64 a (.f64 c -4)) b))) (/.f64 (.f64 (.f64 c (.f64 (*.f64 a c) a)) -2) (pow.f64 b 3)))
(+.f64 (fma.f64 b 2 (.f64 (/.f64 1/2 b) (.f64 a (.f64 c -4)))) (/.f64 (.f64 (.f64 c (.f64 c (*.f64 a a))) -2) (pow.f64 b 3)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (+.f64 (.f64 1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (.f64 2 b))))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 (pow.f64 (sqrt.f64 -4) 4) (.f64 a a)))) (fma.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5)) (fma.f64 1/2 (/.f64 (.f64 (.f64 a c) (pow.f64 (sqrt.f64 -4) 2)) b) (.f64 b 2))))
(+.f64 (/.f64 (.f64 (.f64 c (.f64 (.f64 a c) a)) -2) (pow.f64 b 3)) (fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 (pow.f64 a 3) -64))) (fma.f64 b 2 (.f64 1/2 (/.f64 (.f64 a (.f64 c -4)) b)))))
(+.f64 (/.f64 (.f64 (.f64 c (.f64 c (.f64 a a))) -2) (pow.f64 b 3)) (fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 (pow.f64 a 3) -64))) (fma.f64 b 2 (.f64 (/.f64 1/2 b) (.f64 a (.f64 c -4))))))
(.f64 -1/2 (/.f64 (.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b))
(.f64 -1/2 (/.f64 (.f64 (*.f64 a c) (pow.f64 (sqrt.f64 -4) 2)) b))
(.f64 -1/2 (/.f64 (.f64 a (*.f64 c -4)) b))
(.f64 (/.f64 -1/2 b) (.f64 a (*.f64 c -4)))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (.f64 -1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)))
(fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 (pow.f64 (sqrt.f64 -4) 4) (.f64 a a)))) (.f64 -1/2 (/.f64 (.f64 (.f64 a c) (pow.f64 (sqrt.f64 -4) 2)) b)))
(fma.f64 -1/2 (/.f64 (.f64 a (.f64 c -4)) b) (.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a (*.f64 a 16))) 1/8))
(fma.f64 -1/2 (.f64 (.f64 (/.f64 c b) -4) a) (.f64 (/.f64 (.f64 (.f64 (.f64 c c) 16) (*.f64 a a)) (pow.f64 b 3)) 1/8))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5)))))
(fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 (pow.f64 (sqrt.f64 -4) 4) (.f64 a a)))) (fma.f64 -1/2 (/.f64 (.f64 (.f64 a c) (pow.f64 (sqrt.f64 -4) 2)) b) (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5)))))
(fma.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a (.f64 a 16))) 1/8 (fma.f64 -1/2 (/.f64 (.f64 a (.f64 c -4)) b) (/.f64 (.f64 (pow.f64 c 3) -1/16) (/.f64 (pow.f64 b 5) (.f64 (pow.f64 a 3) -64)))))
(fma.f64 (/.f64 (.f64 (.f64 (.f64 c c) 16) (.f64 a a)) (pow.f64 b 3)) 1/8 (fma.f64 -1/2 (.f64 (.f64 (/.f64 c b) -4) a) (.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 (pow.f64 a 3) -64))))))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (.f64 1/2 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (pow.f64 b 7))))))
(fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 (pow.f64 (sqrt.f64 -4) 4) (.f64 a a)))) (fma.f64 -1/2 (/.f64 (.f64 (.f64 a c) (pow.f64 (sqrt.f64 -4) 2)) b) (fma.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5)) (.f64 1/2 (/.f64 (fma.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8))) (pow.f64 (.f64 -1/8 (.f64 (.f64 c c) (.f64 (pow.f64 (sqrt.f64 -4) 4) (*.f64 a a)))) 2)) (pow.f64 b 7))))))
(fma.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a (.f64 a 16))) 1/8 (fma.f64 -1/2 (/.f64 (.f64 a (.f64 c -4)) b) (fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 (pow.f64 a 3) -64))) (.f64 1/2 (/.f64 (+.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 16) (pow.f64 (.f64 (.f64 c (.f64 (.f64 a c) a)) -2) 2)) (pow.f64 b 7))))))
(fma.f64 (/.f64 (.f64 (.f64 (.f64 c c) 16) (.f64 a a)) (pow.f64 b 3)) 1/8 (fma.f64 -1/2 (.f64 (.f64 (/.f64 c b) -4) a) (fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 (pow.f64 a 3) -64))) (.f64 (/.f64 1/2 (pow.f64 b 7)) (.f64 (.f64 (pow.f64 a 4) 256) (+.f64 (.f64 1/16 (pow.f64 c 4)) (.f64 (pow.f64 c 4) 1/64)))))))
(*.f64 2 b)
(*.f64 b 2)
(*.f64 2 b)
(*.f64 b 2)

localize5.0ms (0%)

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

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 2 (/.f64 (.f64 c a) b))
✓	6.2b	(/.f64 (*.f64 c a) b)
✓	9.3b	(.f64 (.f64 2 (/.f64 (*.f64 c a) b)) (/.f64 -1/2 a))

Compiler

Compiled 37 to 16 computations (56.8% saved)

series15.0ms (0.1%)

Counts

3 → 36

Calls

27 calls:

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

rewrite106.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

650×	`log-prod_binary64`
409×	`pow-prod-down_binary64`
310×	`pow2_binary64`
257×	`pow-unpow_binary64`
221×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	33
1	240	30
2	3227	30

Stop Event

1×	node limit

Counts

3 → 124

Calls

Call 1

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

Outputs

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

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

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

simplify39.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

14×	`fma-def_binary64`
8×	`sub-neg_binary64`
4×	`+-commutative_binary64`
4×	`fma-neg_binary64`
3×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	216
1	10	216
2	17	216
3	23	216
4	29	216
5	37	216
6	45	216
7	55	216
8	63	216
9	77	216

Stop Event

1×

saturated

Counts

160 → 126

Calls

Call 1

Inputs
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))

Outputs
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)

localize39.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))
✓	0.2b	(.f64 (+.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))) (/.f64 -1/2 a))
✓	14.6b	(sqrt.f64 (.f64 c (.f64 a -4)))

Compiler

Compiled 45 to 29 computations (35.6% saved)

series27.0ms (0.2%)

Counts

3 → 28

Calls

24 calls:

Time	Variable		Point	Expression
3.0ms	c	@	0	(.f64 (+.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))) (/.f64 -1/2 a))
2.0ms	a	@	inf	(.f64 (+.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))) (/.f64 -1/2 a))
2.0ms	c	@	inf	(.f64 (+.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))) (/.f64 -1/2 a))
2.0ms	c	@	-inf	(.f64 (+.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))) (/.f64 -1/2 a))
2.0ms	a	@	-inf	(.f64 (+.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))) (/.f64 -1/2 a))

rewrite107.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

634×	`log-prod_binary64`
455×	`pow-prod-down_binary64`
362×	`fma-def_binary64`
331×	`pow2_binary64`
232×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	39
1	261	39
2	3481	39

Stop Event

1×	node limit

Counts

3 → 133

Calls

Call 1

Inputs
(sqrt.f64 (.f64 c (.f64 a -4)))
(.f64 (+.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))) (/.f64 -1/2 a))
(+.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b) (/.f64 -1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) (/.f64 -1/2 a)) (*.f64 b (/.f64 -1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 b (/.f64 -1/2 a)) (*.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) (/.f64 -1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 -1/2 a) (sqrt.f64 (*.f64 a (*.f64 -4 c)))) (*.f64 (/.f64 -1/2 a) b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 -1/2 a) b) (*.f64 (/.f64 -1/2 a) (sqrt.f64 (*.f64 a (*.f64 -4 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 -1/2 a)) (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 -1/2 a)) (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 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(neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b) 1/2) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 -1/2 a) (+.f64 (pow.f64 b 3) (pow.f64 (*.f64 a (*.f64 -4 c)) 3/2))) (-.f64 (fma.f64 b b (*.f64 a (*.f64 -4 c))) (*.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 -1/2 a) (-.f64 (*.f64 b b) (*.f64 a (*.f64 -4 c)))) (-.f64 b (sqrt.f64 (*.f64 a (*.f64 -4 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b) (/.f64 -1/2 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b) (/.f64 -1/2 a)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b) (/.f64 -1/2 a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 (sqrt.f64 (*.f64 a 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (*.f64 a (*.f64 -4 c))))) (/.f64 (*.f64 a (*.f64 -4 c)) (-.f64 b (sqrt.f64 (*.f64 a (*.f64 -4 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)) 2) (cbrt.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)) (sqrt.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 b 3) (pow.f64 (*.f64 a (*.f64 -4 c)) 3/2)) (/.f64 1 (-.f64 (fma.f64 b b (*.f64 a (*.f64 -4 c))) (*.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 -4 c))) (/.f64 1 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 -4 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (fma.f64 b b (*.f64 a (*.f64 -4 c))) (*.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)) (+.f64 (pow.f64 b 3) (pow.f64 (*.f64 a (*.f64 -4 c)) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 -4 c)))) (-.f64 (*.f64 b b) (*.f64 a (*.f64 -4 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 b 3) (pow.f64 (*.f64 a (*.f64 -4 c)) 3/2)) (-.f64 (fma.f64 b b (*.f64 a (*.f64 -4 c))) (*.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 b 3) (pow.f64 (*.f64 a (*.f64 -4 c)) 3/2)) (fma.f64 c (*.f64 a -4) (-.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 -4 c))) (-.f64 b (sqrt.f64 (*.f64 a (*.f64 -4 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 b 3) (pow.f64 (*.f64 a (*.f64 -4 c)) 3/2))) (neg.f64 (-.f64 (fma.f64 b b (*.f64 a (*.f64 -4 c))) (*.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 -4 c)))) (neg.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 -4 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 a (*.f64 -4 c)) (*.f64 b b)) (-.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (fma.f64 b b (*.f64 a (*.f64 -4 c))) (*.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)) (+.f64 (pow.f64 b 3) (pow.f64 (*.f64 a (*.f64 -4 c)) 3/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 -4 c)))) (-.f64 (*.f64 b b) (*.f64 a (*.f64 -4 c)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))))) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c)))) (+.f64 1 (expm1.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))))) (+.f64 1 (expm1.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 b)) (exp.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 b) (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 b)) (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) 1 b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b 1 (sqrt.f64 (*.f64 a (*.f64 -4 c))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 b (sqrt.f64 (*.f64 a (*.f64 -4 c))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 b) (pow.f64 (cbrt.f64 b) 2) (sqrt.f64 (*.f64 a (*.f64 -4 c))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 b) (sqrt.f64 (*.f64 a (*.f64 -4 c))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 a (*.f64 -4 c))) (pow.f64 (*.f64 a (*.f64 -4 c)) 1/6) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 a (*.f64 -4 c)) 1/6) (cbrt.f64 (*.f64 a (*.f64 -4 c))) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 b) (sqrt.f64 b) (sqrt.f64 (*.f64 a (*.f64 -4 c))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 c) (sqrt.f64 (*.f64 a -4)) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 a (*.f64 -4 c)) 1/4) (pow.f64 (*.f64 a (*.f64 -4 c)) 1/4) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)))))

simplify20.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

14×	`fma-def_binary64`
11×	`*-commutative_binary64`
3×	`+-commutative_binary64`
3×	`associate-r_binary64`
3×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	345
1	33	345
2	52	327
3	64	327
4	66	327
5	67	327

Stop Event

1×

saturated

Counts

161 → 143

Calls

Call 1

Inputs
(.f64 -1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(+.f64 (.f64 -1/2 (/.f64 b a)) (.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(+.f64 (.f64 -1/2 (/.f64 b a)) (.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(+.f64 (.f64 -1/2 (/.f64 b a)) (.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (/.f64 b a))
(+.f64 (.f64 -1/2 (/.f64 b a)) (.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(+.f64 (.f64 -1/2 (/.f64 b a)) (.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(+.f64 (.f64 -1/2 (/.f64 b a)) (.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (/.f64 b a))
(+.f64 (.f64 -1/2 (/.f64 b a)) (.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(+.f64 (.f64 -1/2 (/.f64 b a)) (.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(+.f64 (.f64 -1/2 (/.f64 b a)) (.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))
(+.f64 b (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)))
(+.f64 b (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)))
(+.f64 b (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)))
b
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) b)
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) b)
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) b)
b
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) b)
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) b)
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) b)
b
b

Outputs
(.f64 -1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(.f64 (.f64 -1/2 (sqrt.f64 (/.f64 c a))) (sqrt.f64 -4))
(.f64 (sqrt.f64 (/.f64 c a)) (.f64 (sqrt.f64 -4) -1/2))
(.f64 (sqrt.f64 (/.f64 c a)) (.f64 -1/2 (sqrt.f64 -4)))
(+.f64 (.f64 -1/2 (/.f64 b a)) (.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(.f64 -1/2 (+.f64 (/.f64 b a) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(.f64 -1/2 (+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 b a)))
(*.f64 -1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b a)))
(+.f64 (.f64 -1/2 (/.f64 b a)) (.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(.f64 -1/2 (+.f64 (/.f64 b a) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(.f64 -1/2 (+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 b a)))
(*.f64 -1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b a)))
(+.f64 (.f64 -1/2 (/.f64 b a)) (.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(.f64 -1/2 (+.f64 (/.f64 b a) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(.f64 -1/2 (+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 b a)))
(*.f64 -1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b a)))
(*.f64 -1/2 (/.f64 b a))
(+.f64 (.f64 -1/2 (/.f64 b a)) (.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(.f64 -1/2 (+.f64 (/.f64 b a) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(.f64 -1/2 (+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 b a)))
(*.f64 -1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b a)))
(+.f64 (.f64 -1/2 (/.f64 b a)) (.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(.f64 -1/2 (+.f64 (/.f64 b a) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(.f64 -1/2 (+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 b a)))
(*.f64 -1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b a)))
(+.f64 (.f64 -1/2 (/.f64 b a)) (.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(.f64 -1/2 (+.f64 (/.f64 b a) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(.f64 -1/2 (+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 b a)))
(*.f64 -1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b a)))
(*.f64 -1/2 (/.f64 b a))
(+.f64 (.f64 -1/2 (/.f64 b a)) (.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(.f64 -1/2 (+.f64 (/.f64 b a) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(.f64 -1/2 (+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 b a)))
(*.f64 -1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b a)))
(+.f64 (.f64 -1/2 (/.f64 b a)) (.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(.f64 -1/2 (+.f64 (/.f64 b a) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(.f64 -1/2 (+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 b a)))
(*.f64 -1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b a)))
(+.f64 (.f64 -1/2 (/.f64 b a)) (.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(.f64 -1/2 (+.f64 (/.f64 b a) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(.f64 -1/2 (+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 b a)))
(*.f64 -1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b a)))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))
(.f64 (sqrt.f64 -4) (sqrt.f64 (.f64 c a)))
(+.f64 b (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b)
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) b)
(+.f64 b (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b)
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) b)
(+.f64 b (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b)
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) b)
b
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) b)
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b)
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) b)
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) b)
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b)
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) b)
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) b)
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b)
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) b)
b
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) b)
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b)
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) b)
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) b)
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b)
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) b)
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) b)
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b)
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) b)
b
b

localize58.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	2.7b	(+.f64 b (sqrt.f64 (/.f64 (-.f64 (.f64 (.f64 b b) (.f64 b b)) (pow.f64 (.f64 a (.f64 c -4)) 2)) (-.f64 (.f64 b b) (.f64 a (.f64 c -4))))))
✓	7.1b	(-.f64 (.f64 (.f64 b b) (.f64 b b)) (pow.f64 (.f64 a (*.f64 c -4)) 2))
✓	24.6b	(sqrt.f64 (/.f64 (-.f64 (.f64 (.f64 b b) (.f64 b b)) (pow.f64 (.f64 a (.f64 c -4)) 2)) (-.f64 (.f64 b b) (.f64 a (.f64 c -4)))))
✓	36.9b	(/.f64 (-.f64 (.f64 (.f64 b b) (.f64 b b)) (pow.f64 (.f64 a (.f64 c -4)) 2)) (-.f64 (.f64 b b) (.f64 a (.f64 c -4))))

Compiler

Compiled 172 to 82 computations (52.3% saved)

series35.0ms (0.3%)

Counts

4 → 112

Calls

36 calls:

Time	Variable		Point	Expression
13.0ms	b	@	inf	(/.f64 (-.f64 (.f64 (.f64 b b) (.f64 b b)) (pow.f64 (.f64 a (.f64 c -4)) 2)) (-.f64 (.f64 b b) (.f64 a (.f64 c -4))))
2.0ms	c	@	0	(/.f64 (-.f64 (.f64 (.f64 b b) (.f64 b b)) (pow.f64 (.f64 a (.f64 c -4)) 2)) (-.f64 (.f64 b b) (.f64 a (.f64 c -4))))
1.0ms	c	@	inf	(/.f64 (-.f64 (.f64 (.f64 b b) (.f64 b b)) (pow.f64 (.f64 a (.f64 c -4)) 2)) (-.f64 (.f64 b b) (.f64 a (.f64 c -4))))
1.0ms	c	@	-inf	(/.f64 (-.f64 (.f64 (.f64 b b) (.f64 b b)) (pow.f64 (.f64 a (.f64 c -4)) 2)) (-.f64 (.f64 b b) (.f64 a (.f64 c -4))))
1.0ms	b	@	0	(/.f64 (-.f64 (.f64 (.f64 b b) (.f64 b b)) (pow.f64 (.f64 a (.f64 c -4)) 2)) (-.f64 (.f64 b b) (.f64 a (.f64 c -4))))

rewrite108.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

558×	`fma-neg_binary64`
317×	`expm1-udef_binary64`
317×	`log1p-udef_binary64`
267×	`log-pow_binary64`
194×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	128
1	382	56
2	5719	54

Stop Event

1×	node limit

Counts

4 → 208

Calls

Call 1

Inputs
(/.f64 (-.f64 (.f64 (.f64 b b) (.f64 b b)) (pow.f64 (.f64 a (.f64 c -4)) 2)) (-.f64 (.f64 b b) (.f64 a (.f64 c -4))))
(sqrt.f64 (/.f64 (-.f64 (.f64 (.f64 b b) (.f64 b b)) (pow.f64 (.f64 a (.f64 c -4)) 2)) (-.f64 (.f64 b b) (.f64 a (.f64 c -4)))))
(-.f64 (.f64 (.f64 b b) (.f64 b b)) (pow.f64 (.f64 a (*.f64 c -4)) 2))
(+.f64 b (sqrt.f64 (/.f64 (-.f64 (.f64 (.f64 b b) (.f64 b b)) (pow.f64 (.f64 a (.f64 c -4)) 2)) (-.f64 (.f64 b b) (.f64 a (.f64 c -4))))))

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

simplify105.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

508×	`unswap-sqr_binary64`
458×	`fma-def_binary64`
427×	`associate-r_binary64`
401×	`times-frac_binary64`
391×	`associate-l_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	104	2155
1	311	2079
2	1007	2008
3	4968	1988
4	6815	1952

Stop Event

1×	node limit

Counts

320 → 263

Calls

Call 1

Inputs
(.f64 -4 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(.f64 -4 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(.f64 -4 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(.f64 -4 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(.f64 -4 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5)))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(*.f64 -1 b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -1 b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b)))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b))))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2)))
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(pow.f64 b 4)
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(pow.f64 b 4)
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(pow.f64 b 4)
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2)))
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2)))
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(pow.f64 b 4)
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2)))
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2)))
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))
(+.f64 b (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)))
(+.f64 b (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 b (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
(*.f64 2 b)
(+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b))))
(.f64 2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (pow.f64 (.f64 -2 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (.f64 16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7))) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(*.f64 2 b)
(+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b))))
(*.f64 2 b)
(+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b))))

Outputs
(.f64 -4 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 -4 (.f64 c a)) (*.f64 b b))
(fma.f64 -4 (.f64 c a) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 -4 (.f64 c a)) (*.f64 b b))
(fma.f64 -4 (.f64 c a) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 -4 (.f64 c a)) (*.f64 b b))
(fma.f64 -4 (.f64 c a) (.f64 b b))
(pow.f64 b 2)
(*.f64 b b)
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b
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b
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b
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(fma.f64 1/2 (/.f64 (+.f64 (pow.f64 (.f64 -2 (.f64 (.f64 c c) (.f64 a a))) 2) (.f64 16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7)) (fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 2 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b 3)) (/.f64 (.f64 4 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (pow.f64 b 5)))))
(fma.f64 1/2 (/.f64 (fma.f64 16 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (.f64 4 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7)) (fma.f64 2 (+.f64 (.f64 (/.f64 c b) a) (/.f64 (.f64 c (.f64 c (.f64 a a))) (pow.f64 b 3))) (.f64 4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))))))
(fma.f64 2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 a a) (.f64 a (/.f64 c b))) (fma.f64 4 (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3)) (.f64 (/.f64 1/2 (pow.f64 b 7)) (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 20))))
(fma.f64 2 (.f64 (/.f64 a b) (+.f64 c (/.f64 (.f64 a (.f64 c c)) (.f64 b b)))) (fma.f64 4 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (/.f64 (.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 10) (pow.f64 b 7))))
(fma.f64 2 (.f64 (/.f64 a b) (+.f64 c (/.f64 (.f64 a (.f64 c c)) (.f64 b b)))) (fma.f64 4 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5)) (/.f64 (.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 10) (pow.f64 b 7))))
(*.f64 2 b)
(*.f64 b 2)
(+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b))
(fma.f64 -2 (/.f64 c (/.f64 b a)) (*.f64 b 2))
(fma.f64 b 2 (.f64 -2 (.f64 (/.f64 c b) a)))
(fma.f64 b 2 (.f64 -2 (.f64 a (/.f64 c b))))
(fma.f64 b 2 (/.f64 (*.f64 c -2) (/.f64 b a)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b)))
(fma.f64 -2 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b 3)) (fma.f64 -2 (/.f64 c (/.f64 b a)) (.f64 b 2)))
(fma.f64 -2 (/.f64 (.f64 c (.f64 c (.f64 a a))) (pow.f64 b 3)) (fma.f64 b 2 (.f64 -2 (*.f64 (/.f64 c b) a))))
(fma.f64 -2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 a a) (.f64 a (/.f64 c b))) (*.f64 b 2))
(fma.f64 -2 (.f64 (/.f64 a b) (+.f64 c (/.f64 (.f64 a (.f64 c c)) (.f64 b b)))) (*.f64 b 2))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b))))
(fma.f64 -2 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b 3)) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (fma.f64 -2 (/.f64 c (/.f64 b a)) (.f64 b 2))))
(fma.f64 -2 (/.f64 (.f64 c (.f64 c (.f64 a a))) (pow.f64 b 3)) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (fma.f64 b 2 (.f64 -2 (*.f64 (/.f64 c b) a)))))
(fma.f64 -4 (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3)) (fma.f64 -2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 a a) (.f64 a (/.f64 c b))) (.f64 b 2)))
(fma.f64 -4 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (fma.f64 -2 (.f64 (/.f64 a b) (+.f64 c (/.f64 (.f64 a (.f64 c c)) (.f64 b b)))) (.f64 b 2)))
(fma.f64 -4 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5)) (fma.f64 -2 (.f64 (/.f64 a b) (+.f64 c (/.f64 (.f64 a (.f64 c c)) (.f64 b b)))) (.f64 b 2)))
(*.f64 2 b)
(*.f64 b 2)
(+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b))
(fma.f64 -2 (/.f64 c (/.f64 b a)) (*.f64 b 2))
(fma.f64 b 2 (.f64 -2 (.f64 (/.f64 c b) a)))
(fma.f64 b 2 (.f64 -2 (.f64 a (/.f64 c b))))
(fma.f64 b 2 (/.f64 (*.f64 c -2) (/.f64 b a)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b)))
(fma.f64 -2 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b 3)) (fma.f64 -2 (/.f64 c (/.f64 b a)) (.f64 b 2)))
(fma.f64 -2 (/.f64 (.f64 c (.f64 c (.f64 a a))) (pow.f64 b 3)) (fma.f64 b 2 (.f64 -2 (*.f64 (/.f64 c b) a))))
(fma.f64 -2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 a a) (.f64 a (/.f64 c b))) (*.f64 b 2))
(fma.f64 -2 (.f64 (/.f64 a b) (+.f64 c (/.f64 (.f64 a (.f64 c c)) (.f64 b b)))) (*.f64 b 2))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b))))
(fma.f64 -2 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b 3)) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (fma.f64 -2 (/.f64 c (/.f64 b a)) (.f64 b 2))))
(fma.f64 -2 (/.f64 (.f64 c (.f64 c (.f64 a a))) (pow.f64 b 3)) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (fma.f64 b 2 (.f64 -2 (*.f64 (/.f64 c b) a)))))
(fma.f64 -4 (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3)) (fma.f64 -2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 a a) (.f64 a (/.f64 c b))) (.f64 b 2)))
(fma.f64 -4 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (fma.f64 -2 (.f64 (/.f64 a b) (+.f64 c (/.f64 (.f64 a (.f64 c c)) (.f64 b b)))) (.f64 b 2)))
(fma.f64 -4 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5)) (fma.f64 -2 (.f64 (/.f64 a b) (+.f64 c (/.f64 (.f64 a (.f64 c c)) (.f64 b b)))) (.f64 b 2)))

eval475.0ms (4.2%)

Compiler: Compiled 18538 to 11841 computations (36.1% saved)

prune147.0ms (1.3%)

Pruning

25 alts after pruning (23 fresh and 2 done)

	Pruned	Kept	Total
New	751	22	773
Fresh	17	1	18
Picked	1	0	1
Done	2	2	4
Total	771	25	796

Error

0.2b

Counts

796 → 25

Alt Table

Click to see full alt table

Status	Error	Program
	36.9b	(/.f64 1 (/.f64 (neg.f64 b) c))
	44.4b	(/.f64 1 (/.f64 (neg.f64 a) b))
	40.3b	(/.f64 (.f64 (/.f64 -1/2 a) (.f64 2 (*.f64 c a))) b)
	37.0b	(.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c -4))))) (/.f64 -1/2 a))
	55.0b	(*.f64 (+.f64 b (neg.f64 b)) (/.f64 -1/2 a))
	59.2b	(*.f64 -1/2 (/.f64 b a))
▶	40.4b	(.f64 (.f64 2 (*.f64 (/.f64 c b) a)) (/.f64 -1/2 a))
	40.5b	(.f64 (.f64 2 (.f64 a (.f64 c (/.f64 1 b)))) (/.f64 -1/2 a))
▶	36.1b	(/.f64 1 (.f64 (/.f64 -2 (+.f64 b (hypot.f64 (sqrt.f64 (.f64 a (*.f64 c -4))) b))) a))
	55.1b	(.f64 (+.f64 b (.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c))) (/.f64 -1/2 a))
	46.0b	(.f64 (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (.f64 2 b)) (/.f64 -1/2 a))
	36.7b	(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
	44.6b	(-.f64 (/.f64 c b) (/.f64 b a))
	40.4b	(/.f64 (.f64 (.f64 (/.f64 c b) a) -1) a)
	49.8b	(/.f64 (.f64 (/.f64 -1/2 a) (-.f64 (.f64 b b) (.f64 a (.f64 -4 c)))) (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))))
✓	44.3b	(/.f64 (neg.f64 b) a)
▶	49.0b	(/.f64 1 (/.f64 a (.f64 (+.f64 (sqrt.f64 (.f64 a (*.f64 -4 c))) b) -1/2)))
	48.9b	(/.f64 (+.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) b) (*.f64 a -2))
✓	48.9b	(.f64 (+.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))) (/.f64 -1/2 a))
▶	36.3b	(/.f64 (neg.f64 c) b)
	46.4b	(/.f64 1 (/.f64 a (.f64 (+.f64 b (hypot.f64 b (.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a)))) -1/2)))
▶	44.4b	(*.f64 (+.f64 b b) (/.f64 -1/2 a))
	48.9b	(+.f64 (.f64 (/.f64 -1/2 a) (sqrt.f64 (.f64 a (.f64 -4 c)))) (.f64 (/.f64 -1/2 a) b))
	55.1b	(.f64 (fma.f64 (sqrt.f64 (.f64 a -4)) (sqrt.f64 c) b) (/.f64 -1/2 a))
	59.2b	(*.f64 b (/.f64 -1/2 a))

Compiler

Compiled 668 to 482 computations (27.8% saved)

localize57.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 -2 (+.f64 b (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b)))
✓	0.1b	(/.f64 1 (.f64 (/.f64 -2 (+.f64 b (hypot.f64 (sqrt.f64 (.f64 a (*.f64 c -4))) b))) a))
✓	0.1b	(.f64 (/.f64 -2 (+.f64 b (hypot.f64 (sqrt.f64 (.f64 a (*.f64 c -4))) b))) a)
	14.6b	(sqrt.f64 (.f64 a (.f64 c -4)))

Compiler

Compiled 83 to 54 computations (34.9% saved)

series45.0ms (0.4%)

Counts

3 → 42

Calls

27 calls:

Time	Variable		Point	Expression
6.0ms	a	@	0	(/.f64 -2 (+.f64 b (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b)))
5.0ms	c	@	inf	(/.f64 -2 (+.f64 b (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b)))
4.0ms	c	@	-inf	(/.f64 -2 (+.f64 b (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b)))
4.0ms	a	@	-inf	(/.f64 1 (.f64 (/.f64 -2 (+.f64 b (hypot.f64 (sqrt.f64 (.f64 a (*.f64 c -4))) b))) a))
3.0ms	a	@	-inf	(/.f64 -2 (+.f64 b (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b)))

rewrite93.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

755×	`log-prod_binary64`
656×	`prod-diff_binary64`
274×	`expm1-udef_binary64`
274×	`log1p-udef_binary64`
265×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	63
1	324	60
2	4139	60

Stop Event

1×	node limit

Counts

3 → 91

Calls

Call 1

Inputs

(*.f64 (/.f64 -2 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b))) a)

(/.f64 1 (*.f64 (/.f64 -2 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b))) a))

(/.f64 -2 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)))

Outputs

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

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

simplify63.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

494×	`associate-*l/_binary64`
445×	`associate-*r/_binary64`
389×	`associate-+l+_binary64`
327×	`associate-+r+_binary64`
306×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	247	2043
1	791	1551
2	3458	1444

Stop Event

1×	node limit

Counts

133 → 162

Calls

Call 1

Inputs
(.f64 -2 (.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4))))
(+.f64 (.f64 2 (/.f64 b (.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (.f64 -2 (.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4)))))
(+.f64 (.f64 2 (.f64 (pow.f64 b 2) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))))) (+.f64 (.f64 2 (/.f64 b (.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (.f64 -2 (.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4))))))
(+.f64 (.f64 2 (.f64 (pow.f64 b 2) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))))) (+.f64 (.f64 -2 (.f64 (pow.f64 b 3) (-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 4))))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (sqrt.f64 -4))))))) (+.f64 (.f64 2 (/.f64 b (.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (.f64 -2 (.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4)))))))
(*.f64 -1 (/.f64 a b))
(+.f64 (.f64 -1 (/.f64 a b)) (.f64 1/4 (/.f64 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))))
(+.f64 (.f64 -1 (/.f64 a b)) (+.f64 (.f64 1/4 (/.f64 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 5)))))
(+.f64 (.f64 -1 (/.f64 a b)) (+.f64 (.f64 1/4 (/.f64 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (+.f64 (.f64 2 (/.f64 (+.f64 (.f64 1/32 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 6)))) (.f64 1/128 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 6))))) (pow.f64 b 7))) (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 5))))))
(.f64 4 (/.f64 b (.f64 c (pow.f64 (sqrt.f64 -4) 2))))
(+.f64 (/.f64 a b) (.f64 4 (/.f64 b (.f64 c (pow.f64 (sqrt.f64 -4) 2)))))
(+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 1/4 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2)))) (.f64 -1/8 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))))) (pow.f64 b 3))) (+.f64 (/.f64 a b) (.f64 4 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2))))))
(+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 1/4 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2)))) (.f64 -1/8 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))))) (pow.f64 b 3))) (+.f64 (/.f64 a b) (+.f64 (.f64 4 (/.f64 b (.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (.f64 -2 (/.f64 (+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 4))))) (+.f64 (.f64 1/16 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4)))) (.f64 1/4 (.f64 c (.f64 a (.f64 (pow.f64 (sqrt.f64 -4) 2) (+.f64 (.f64 1/4 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2)))) (.f64 -1/8 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))))))))))) (pow.f64 b 5))))))
(*.f64 -1 (/.f64 a b))
(*.f64 -1 (/.f64 a b))
(.f64 -1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(+.f64 (.f64 -1/2 (/.f64 b a)) (.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(+.f64 (.f64 -1/2 (/.f64 b a)) (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))))
(+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 -1/2 (/.f64 b a)) (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))))
(*.f64 -1 (/.f64 b a))
(+.f64 (.f64 -1/4 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (*.f64 -1 (/.f64 b a)))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (.f64 -1/4 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (.f64 -1 (/.f64 b a))))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (.f64 -1/4 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (.f64 -1/32 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (*.f64 -1 (/.f64 b a)))))
(.f64 1/4 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -4) 2)) b))
(+.f64 (.f64 1/4 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))))
(+.f64 (.f64 1/4 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (.f64 1/32 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5)))))
(+.f64 (.f64 -1/4 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (.f64 a (pow.f64 b 7)))) (+.f64 (.f64 1/4 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (.f64 1/32 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))))))
(*.f64 -1 (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(.f64 -2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 1 (sqrt.f64 -4))))
(+.f64 (.f64 2 (/.f64 b (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))))) (.f64 -2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (sqrt.f64 -4)))))
(+.f64 (.f64 2 (/.f64 b (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))))) (+.f64 (.f64 -1 (.f64 (pow.f64 b 2) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))))) (.f64 -2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (sqrt.f64 -4))))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (sqrt.f64 -4)))) (/.f64 1 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))))) (pow.f64 b 3))) (+.f64 (.f64 2 (/.f64 b (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))))) (+.f64 (.f64 -1 (.f64 (pow.f64 b 2) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))))) (.f64 -2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 1 (sqrt.f64 -4)))))))
(/.f64 -1 b)
(-.f64 (.f64 1/4 (/.f64 (.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (/.f64 1 b))
(-.f64 (+.f64 (.f64 1/4 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 5)))) (/.f64 1 b))
(-.f64 (+.f64 (.f64 1/4 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 5))) (.f64 -1 (/.f64 (+.f64 (.f64 -1/16 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6)))) (.f64 -1/64 (.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))))) (pow.f64 b 7))))) (/.f64 1 b))
(.f64 4 (/.f64 b (.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))))
(+.f64 (.f64 4 (/.f64 b (.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))))) (/.f64 1 b))
(+.f64 (.f64 4 (/.f64 b (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))))) (+.f64 (.f64 -1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (+.f64 (.f64 1/4 (/.f64 (.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (/.f64 1 b))))
(+.f64 (.f64 4 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (.f64 (pow.f64 (sqrt.f64 -4) 4) (pow.f64 b 5)))))) (+.f64 (.f64 4 (/.f64 b (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))))) (+.f64 (.f64 1/4 (/.f64 (.f64 c (.f64 a (.f64 (+.f64 (.f64 -1/2 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (.f64 1/4 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))))) (pow.f64 (sqrt.f64 -4) 2)))) (pow.f64 b 5))) (+.f64 (.f64 -1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 5))) (+.f64 (.f64 1/4 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (/.f64 1 b)))))))
(/.f64 -1 b)
(/.f64 -1 b)

Outputs
(.f64 -2 (.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4))))
(*.f64 -2 (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 -4)))
(+.f64 (.f64 2 (/.f64 b (.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (.f64 -2 (.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4)))))
(fma.f64 2 (/.f64 b (.f64 c (pow.f64 (sqrt.f64 -4) 2))) (.f64 -2 (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4)))))
(fma.f64 -2 (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b c)))
(+.f64 (.f64 2 (.f64 (pow.f64 b 2) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))))) (+.f64 (.f64 2 (/.f64 b (.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (.f64 -2 (.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4))))))
(fma.f64 2 (.f64 (.f64 b b) (.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 a (pow.f64 c 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))) -1/2)) (fma.f64 2 (/.f64 b (.f64 c (pow.f64 (sqrt.f64 -4) 2))) (.f64 -2 (.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4))))))
(fma.f64 2 (.f64 (.f64 b b) (.f64 (sqrt.f64 (/.f64 1 (.f64 a (pow.f64 c 3)))) (.f64 (/.f64 -1/4 (sqrt.f64 -4)) -1/2))) (fma.f64 -2 (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 -4)) (.f64 -1/2 (/.f64 b c))))
(fma.f64 2 (.f64 (.f64 b b) (.f64 (sqrt.f64 (/.f64 (/.f64 1 a) (pow.f64 c 3))) (/.f64 1/8 (sqrt.f64 -4)))) (fma.f64 -2 (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 -4)) (.f64 -1/2 (/.f64 b c))))
(+.f64 (.f64 2 (.f64 (pow.f64 b 2) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))))) (+.f64 (.f64 -2 (.f64 (pow.f64 b 3) (-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 4))))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (sqrt.f64 -4))))))) (+.f64 (.f64 2 (/.f64 b (.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (.f64 -2 (.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4)))))))
(fma.f64 2 (.f64 (.f64 b b) (.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 a (pow.f64 c 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))) -1/2)) (fma.f64 -2 (.f64 (pow.f64 b 3) (-.f64 (/.f64 1/2 (.f64 (.f64 c c) (.f64 a (pow.f64 (sqrt.f64 -4) 4)))) (neg.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 a c))) (/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 a (pow.f64 c 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))) -1/2) (sqrt.f64 -4)))))) (fma.f64 2 (/.f64 b (.f64 c (pow.f64 (sqrt.f64 -4) 2))) (.f64 -2 (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4)))))))
(fma.f64 2 (.f64 (.f64 b b) (.f64 (sqrt.f64 (/.f64 1 (.f64 a (pow.f64 c 3)))) (.f64 (/.f64 -1/4 (sqrt.f64 -4)) -1/2))) (fma.f64 -2 (.f64 (pow.f64 b 3) (+.f64 (/.f64 1/2 (.f64 c (.f64 c (.f64 a 16)))) (.f64 (sqrt.f64 (/.f64 1 (.f64 a c))) (/.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 a (pow.f64 c 3)))) (/.f64 -1/4 (sqrt.f64 -4))) (/.f64 (sqrt.f64 -4) -1/2))))) (fma.f64 -2 (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 -4)) (.f64 -1/2 (/.f64 b c)))))
(fma.f64 2 (.f64 (.f64 b b) (.f64 (sqrt.f64 (/.f64 (/.f64 1 a) (pow.f64 c 3))) (/.f64 1/8 (sqrt.f64 -4)))) (fma.f64 -2 (.f64 (pow.f64 b 3) (+.f64 (/.f64 1/2 (.f64 a (.f64 16 (.f64 c c)))) (.f64 (sqrt.f64 (/.f64 1 (.f64 a c))) (/.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 1 a) (pow.f64 c 3))) -1/2) 16)))) (fma.f64 -2 (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b c)))))
(*.f64 -1 (/.f64 a b))
(neg.f64 (/.f64 a b))
(/.f64 (neg.f64 a) b)
(+.f64 (.f64 -1 (/.f64 a b)) (.f64 1/4 (/.f64 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))))
(fma.f64 -1 (/.f64 a b) (.f64 1/4 (/.f64 (.f64 c (.f64 (pow.f64 (sqrt.f64 -4) 2) (.f64 a a))) (pow.f64 b 3))))
(-.f64 (/.f64 (.f64 (.f64 -1 c) (*.f64 a a)) (pow.f64 b 3)) (/.f64 a b))
(-.f64 (/.f64 (.f64 (neg.f64 c) (.f64 a a)) (pow.f64 b 3)) (/.f64 a b))
(+.f64 (.f64 -1 (/.f64 a b)) (+.f64 (.f64 1/4 (/.f64 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 5)))))
(fma.f64 -1 (/.f64 a b) (fma.f64 1/4 (/.f64 (.f64 c (.f64 (pow.f64 (sqrt.f64 -4) 2) (.f64 a a))) (pow.f64 b 3)) (.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 5) (.f64 (pow.f64 (sqrt.f64 -4) 4) (pow.f64 a 3)))))))
(-.f64 (fma.f64 -1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b 5)) (.f64 16 (pow.f64 a 3))) (/.f64 (.f64 (.f64 -1 c) (.f64 a a)) (pow.f64 b 3))) (/.f64 a b))
(-.f64 (fma.f64 -1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b 5)) (.f64 16 (pow.f64 a 3))) (/.f64 (.f64 (neg.f64 c) (*.f64 a a)) (pow.f64 b 3))) (/.f64 a b))
(+.f64 (.f64 -1 (/.f64 a b)) (+.f64 (.f64 1/4 (/.f64 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (+.f64 (.f64 2 (/.f64 (+.f64 (.f64 1/32 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 6)))) (.f64 1/128 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 6))))) (pow.f64 b 7))) (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 5))))))
(fma.f64 -1 (/.f64 a b) (fma.f64 1/4 (/.f64 (.f64 c (.f64 (pow.f64 (sqrt.f64 -4) 2) (.f64 a a))) (pow.f64 b 3)) (fma.f64 2 (/.f64 (.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 6))) 5/128) (pow.f64 b 7)) (.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 (sqrt.f64 -4) 4) (pow.f64 a 3))))))))
(+.f64 (-.f64 (/.f64 (.f64 (.f64 -1 c) (.f64 a a)) (pow.f64 b 3)) (/.f64 a b)) (fma.f64 2 (/.f64 (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 4)) -5/2) (pow.f64 b 7)) (/.f64 -1/8 (/.f64 (pow.f64 b 5) (.f64 (.f64 (.f64 16 (pow.f64 a 3)) c) c)))))
(+.f64 (-.f64 (/.f64 (.f64 (neg.f64 c) (.f64 a a)) (pow.f64 b 3)) (/.f64 a b)) (fma.f64 2 (/.f64 (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 4)) -5/2) (pow.f64 b 7)) (/.f64 (.f64 c -1/8) (/.f64 (/.f64 (pow.f64 b 5) (.f64 16 (pow.f64 a 3))) c))))
(.f64 4 (/.f64 b (.f64 c (pow.f64 (sqrt.f64 -4) 2))))
(/.f64 (.f64 4 b) (.f64 c (pow.f64 (sqrt.f64 -4) 2)))
(*.f64 -1 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(+.f64 (/.f64 a b) (.f64 4 (/.f64 b (.f64 c (pow.f64 (sqrt.f64 -4) 2)))))
(+.f64 (/.f64 a b) (/.f64 (.f64 4 b) (.f64 c (pow.f64 (sqrt.f64 -4) 2))))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (/.f64 a b) (/.f64 (neg.f64 b) c))
(+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 1/4 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2)))) (.f64 -1/8 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))))) (pow.f64 b 3))) (+.f64 (/.f64 a b) (.f64 4 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2))))))
(fma.f64 -2 (/.f64 (.f64 (.f64 c (.f64 (pow.f64 (sqrt.f64 -4) 2) (.f64 a a))) 1/8) (pow.f64 b 3)) (+.f64 (/.f64 a b) (/.f64 (.f64 4 b) (.f64 c (pow.f64 (sqrt.f64 -4) 2)))))
(fma.f64 -2 (/.f64 (.f64 (.f64 c (.f64 a a)) -1/2) (pow.f64 b 3)) (+.f64 (/.f64 a b) (.f64 -1 (/.f64 b c))))
(fma.f64 -2 (/.f64 (.f64 (.f64 a (*.f64 a c)) -1/2) (pow.f64 b 3)) (+.f64 (/.f64 a b) (/.f64 (neg.f64 b) c)))
(+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 1/4 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2)))) (.f64 -1/8 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))))) (pow.f64 b 3))) (+.f64 (/.f64 a b) (+.f64 (.f64 4 (/.f64 b (.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (.f64 -2 (/.f64 (+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 4))))) (+.f64 (.f64 1/16 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4)))) (.f64 1/4 (.f64 c (.f64 a (.f64 (pow.f64 (sqrt.f64 -4) 2) (+.f64 (.f64 1/4 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2)))) (.f64 -1/8 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))))))))))) (pow.f64 b 5))))))
(fma.f64 -2 (/.f64 (.f64 (.f64 c (.f64 (pow.f64 (sqrt.f64 -4) 2) (.f64 a a))) 1/8) (pow.f64 b 3)) (+.f64 (/.f64 a b) (fma.f64 4 (/.f64 b (.f64 c (pow.f64 (sqrt.f64 -4) 2))) (.f64 -2 (/.f64 (fma.f64 -2 (/.f64 (fma.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8))) (pow.f64 (.f64 -1/8 (.f64 (.f64 c c) (.f64 (pow.f64 (sqrt.f64 -4) 4) (.f64 a a)))) 2)) (.f64 (.f64 c c) (.f64 a (pow.f64 (sqrt.f64 -4) 4)))) (fma.f64 1/16 (.f64 (.f64 c c) (.f64 (pow.f64 (sqrt.f64 -4) 4) (pow.f64 a 3))) (.f64 1/4 (.f64 c (.f64 a (.f64 (pow.f64 (sqrt.f64 -4) 2) (.f64 (.f64 c (.f64 (pow.f64 (sqrt.f64 -4) 2) (*.f64 a a))) 1/8))))))) (pow.f64 b 5))))))
(+.f64 (fma.f64 -2 (/.f64 (+.f64 (.f64 (.f64 (.f64 a c) -1) (.f64 (.f64 c (.f64 a a)) -1/2)) (fma.f64 -2 (/.f64 (+.f64 (.f64 (.f64 (pow.f64 a 4) (pow.f64 c 4)) 16) (pow.f64 (.f64 (.f64 c (.f64 c (.f64 a a))) -2) 2)) (.f64 c (.f64 c (.f64 a 16)))) (.f64 (.f64 c (.f64 c (pow.f64 a 3))) 1))) (pow.f64 b 5)) (.f64 -1 (/.f64 b c))) (fma.f64 -2 (/.f64 (.f64 (.f64 c (.f64 a a)) -1/2) (pow.f64 b 3)) (/.f64 a b)))
(+.f64 (fma.f64 -2 (/.f64 (fma.f64 -2 (/.f64 (.f64 (.f64 (pow.f64 a 4) 256) (+.f64 (.f64 1/16 (pow.f64 c 4)) (.f64 (pow.f64 c 4) 1/64))) (.f64 a (.f64 16 (.f64 c c)))) (+.f64 (.f64 c (.f64 c (pow.f64 a 3))) (.f64 (.f64 (neg.f64 c) a) (.f64 (.f64 a (.f64 a c)) -1/2)))) (pow.f64 b 5)) (/.f64 (neg.f64 b) c)) (fma.f64 -2 (/.f64 (.f64 (.f64 a (*.f64 a c)) -1/2) (pow.f64 b 3)) (/.f64 a b)))
(*.f64 -1 (/.f64 a b))
(neg.f64 (/.f64 a b))
(/.f64 (neg.f64 a) b)
(*.f64 -1 (/.f64 a b))
(neg.f64 (/.f64 a b))
(/.f64 (neg.f64 a) b)
(.f64 -1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(.f64 -1/2 (.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))))
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(fma.f64 4 (/.f64 b (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (fma.f64 -1/2 (/.f64 c (/.f64 (pow.f64 b 3) (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (fma.f64 1/4 (/.f64 c (/.f64 (pow.f64 b 3) (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (/.f64 1 b))))
(+.f64 (.f64 (.f64 (/.f64 c (pow.f64 b 3)) (.f64 a -4)) -1/4) (fma.f64 4 (/.f64 b (.f64 c (*.f64 a -4))) (/.f64 1 b)))
(+.f64 (+.f64 (/.f64 1 b) (/.f64 (/.f64 (neg.f64 b) c) a)) (/.f64 (*.f64 a c) (pow.f64 b 3)))
(+.f64 (.f64 4 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (.f64 (pow.f64 (sqrt.f64 -4) 4) (pow.f64 b 5)))))) (+.f64 (.f64 4 (/.f64 b (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))))) (+.f64 (.f64 1/4 (/.f64 (.f64 c (.f64 a (.f64 (+.f64 (.f64 -1/2 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (.f64 1/4 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))))) (pow.f64 (sqrt.f64 -4) 2)))) (pow.f64 b 5))) (+.f64 (.f64 -1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 5))) (+.f64 (.f64 1/4 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (/.f64 1 b)))))))
(fma.f64 4 (/.f64 (fma.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8))) (pow.f64 (.f64 -1/8 (.f64 (.f64 c c) (.f64 (pow.f64 (sqrt.f64 -4) 4) (.f64 a a)))) 2)) (.f64 (.f64 c c) (.f64 (.f64 a a) (.f64 (pow.f64 (sqrt.f64 -4) 4) (pow.f64 b 5))))) (fma.f64 4 (/.f64 b (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (fma.f64 1/4 (/.f64 (.f64 c (.f64 a (.f64 (pow.f64 (sqrt.f64 -4) 2) (.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) -1/4)))) (pow.f64 b 5)) (fma.f64 -1/2 (/.f64 c (/.f64 (pow.f64 b 3) (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 5) (.f64 (pow.f64 (sqrt.f64 -4) 4) (.f64 a a)))) (fma.f64 1/4 (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (/.f64 1 b)))))))
(fma.f64 4 (/.f64 (+.f64 (.f64 (.f64 (pow.f64 a 4) (pow.f64 c 4)) 16) (pow.f64 (.f64 (.f64 c (.f64 c (.f64 a a))) -2) 2)) (.f64 (.f64 c (.f64 c (.f64 a (.f64 a 16)))) (pow.f64 b 5))) (fma.f64 4 (/.f64 b (.f64 c (.f64 a -4))) (fma.f64 1/4 (.f64 (/.f64 c (pow.f64 b 5)) (.f64 a (.f64 (.f64 c (.f64 a -4)) 1))) (+.f64 (/.f64 (.f64 (.f64 c (.f64 c (.f64 a a))) -2) (pow.f64 b 5)) (+.f64 (/.f64 1 b) (.f64 (.f64 (/.f64 c (pow.f64 b 3)) (*.f64 a -4)) -1/4))))))
(+.f64 (+.f64 (/.f64 (.f64 (.f64 c (.f64 a (.f64 a c))) -2) (pow.f64 b 5)) (+.f64 (+.f64 (/.f64 1 b) (/.f64 (.f64 a c) (pow.f64 b 3))) (/.f64 (.f64 (neg.f64 c) (.f64 a a)) (/.f64 (pow.f64 b 5) c)))) (fma.f64 4 (/.f64 (.f64 (.f64 (pow.f64 a 4) 256) (+.f64 (.f64 1/16 (pow.f64 c 4)) (.f64 (pow.f64 c 4) 1/64))) (.f64 (.f64 c (.f64 c (.f64 16 (.f64 a a)))) (pow.f64 b 5))) (/.f64 (/.f64 (neg.f64 b) c) a)))
(/.f64 -1 b)
(/.f64 -1 b)

localize5.0ms (0%)

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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (+.f64 b b) (/.f64 -1/2 a))

Compiler

Compiled 19 to 10 computations (47.4% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	b	@	0	(*.f64 (+.f64 b b) (/.f64 -1/2 a))
1.0ms	a	@	0	(*.f64 (+.f64 b b) (/.f64 -1/2 a))
0.0ms	b	@	inf	(*.f64 (+.f64 b b) (/.f64 -1/2 a))
0.0ms	b	@	-inf	(*.f64 (+.f64 b b) (/.f64 -1/2 a))
0.0ms	a	@	inf	(*.f64 (+.f64 b b) (/.f64 -1/2 a))

rewrite58.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

753×	`pow1_binary64`
707×	`add-log-exp_binary64`
705×	`log1p-expm1-u_binary64`
705×	`expm1-log1p-u_binary64`
694×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	157	7
2	2217	7

Stop Event

1×	node limit

Counts

1 → 40

Calls

Call 1

Inputs
(*.f64 (+.f64 b b) (/.f64 -1/2 a))

Outputs

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

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

14×	`fma-def_binary64`
8×	`sub-neg_binary64`
4×	`+-commutative_binary64`
4×	`fma-neg_binary64`
3×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	144
1	10	144
2	17	144
3	23	144
4	29	144
5	37	144
6	45	144
7	55	144
8	63	144
9	77	144

Stop Event

1×

saturated

Counts

64 → 42

Calls

Call 1

Inputs
(*.f64 -1 (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(*.f64 -1 (/.f64 b a))

Outputs
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 2 (.f64 (/.f64 c b) a))
✓	5.7b	(*.f64 (/.f64 c b) a)
✓	9.3b	(.f64 (.f64 2 (*.f64 (/.f64 c b) a)) (/.f64 -1/2 a))

Compiler

Compiled 37 to 16 computations (56.8% saved)

series7.0ms (0.1%)

Counts

3 → 108

Calls

27 calls:

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

rewrite76.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

644×	`log-prod_binary64`
398×	`pow-prod-down_binary64`
310×	`pow2_binary64`
272×	`pow-unpow_binary64`
221×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	33
1	240	30
2	3128	30

Stop Event

1×	node limit

Counts

3 → 84

Calls

Call 1

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

Outputs

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

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 c b) a) (*.f64 (/.f64 c b) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (*.f64 2 (*.f64 c a)) b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (*.f64 2 (/.f64 c b)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (*.f64 2 (/.f64 c b))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (*.f64 2 (/.f64 c b))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (*.f64 2 (/.f64 c b))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 2 (*.f64 c a)) b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 c a) 2) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 c a)) b)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 2 (*.f64 c a)) b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 4 (pow.f64 (*.f64 (/.f64 c b) a) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 2 (*.f64 c a)) b) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 2 (*.f64 c a)) b)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 2 (*.f64 c a)) b)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 4 (pow.f64 (*.f64 (/.f64 c b) a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a) (*.f64 2 (/.f64 c b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 2 (*.f64 c a)) b))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 2 (*.f64 c a)) b) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 2 (*.f64 c a)) b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 2 (*.f64 c a)) b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 2 (*.f64 c a)) b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (*.f64 2 (*.f64 c a)) b) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (*.f64 2 (*.f64 c a)) b))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (*.f64 2 (*.f64 c a)) b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 2 (*.f64 c a)) b)))))))

simplify43.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

100×	`fma-def_binary64`
24×	`fma-neg_binary64`
19×	`*-commutative_binary64`
17×	`associate-/l*_binary64`
16×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	828
1	21	828
2	41	828
3	74	828
4	110	828
5	129	828
6	137	828
7	158	828
8	244	828
9	344	828

Stop Event

1×

saturated

Counts

192 → 89

Calls

Call 1

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

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

localize53.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) b)
✓	0.1b	(/.f64 a (.f64 (+.f64 (sqrt.f64 (.f64 a (*.f64 -4 c))) b) -1/2))
✓	0.2b	(/.f64 1 (/.f64 a (.f64 (+.f64 (sqrt.f64 (.f64 a (*.f64 -4 c))) b) -1/2)))
✓	14.6b	(sqrt.f64 (.f64 a (.f64 -4 c)))

Compiler

Compiled 67 to 45 computations (32.8% saved)

series26.0ms (0.2%)

Counts

4 → 42

Calls

33 calls:

Time	Variable		Point	Expression
3.0ms	c	@	inf	(/.f64 a (.f64 (+.f64 (sqrt.f64 (.f64 a (*.f64 -4 c))) b) -1/2))
2.0ms	a	@	inf	(/.f64 a (.f64 (+.f64 (sqrt.f64 (.f64 a (*.f64 -4 c))) b) -1/2))
2.0ms	c	@	-inf	(/.f64 a (.f64 (+.f64 (sqrt.f64 (.f64 a (*.f64 -4 c))) b) -1/2))
2.0ms	c	@	0	(/.f64 a (.f64 (+.f64 (sqrt.f64 (.f64 a (*.f64 -4 c))) b) -1/2))
2.0ms	a	@	-inf	(/.f64 a (.f64 (+.f64 (sqrt.f64 (.f64 a (*.f64 -4 c))) b) -1/2))

rewrite89.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

754×	`log-prod_binary64`
373×	`pow2_binary64`
373×	`fma-def_binary64`
260×	`pow1/3_binary64`
257×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	60
1	302	57
2	4018	57

Stop Event

1×	node limit

Counts

4 → 182

Calls

Call 1

Inputs
(sqrt.f64 (.f64 a (.f64 -4 c)))
(/.f64 1 (/.f64 a (.f64 (+.f64 (sqrt.f64 (.f64 a (*.f64 -4 c))) b) -1/2)))
(/.f64 a (.f64 (+.f64 (sqrt.f64 (.f64 a (*.f64 -4 c))) b) -1/2))
(+.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) b)

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

simplify131.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

882×	`associate-/l/_binary64`
557×	`times-frac_binary64`
527×	`associate-+l+_binary64`
404×	`associate-+r+_binary64`
345×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	80	898
1	227	839
2	755	798
3	3948	781
4	4755	781
5	5046	781
6	5651	781
7	6945	781
8	7236	781

Stop Event

1×	node limit

Counts

224 → 209

Calls

Call 1

Inputs
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(.f64 -1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(+.f64 (.f64 -1/2 (/.f64 b a)) (.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(+.f64 (.f64 -1/2 (/.f64 b a)) (.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(+.f64 (.f64 -1/2 (/.f64 b a)) (.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (/.f64 b a))
(+.f64 (.f64 -1/2 (/.f64 b a)) (.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(+.f64 (.f64 -1/2 (/.f64 b a)) (.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(+.f64 (.f64 -1/2 (/.f64 b a)) (.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (/.f64 b a))
(+.f64 (.f64 -1/2 (/.f64 b a)) (.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(+.f64 (.f64 -1/2 (/.f64 b a)) (.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(+.f64 (.f64 -1/2 (/.f64 b a)) (.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -2 (/.f64 a b))
(*.f64 -2 (/.f64 a b))
(.f64 -2 (.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4))))
(+.f64 (.f64 2 (/.f64 b (.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (.f64 -2 (.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4)))))
(+.f64 (.f64 -2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 (pow.f64 b 2) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 2 (/.f64 b (.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (.f64 -2 (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4))))))
(+.f64 (.f64 -2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 (pow.f64 b 2) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 2 (/.f64 b (.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (+.f64 (.f64 2 (/.f64 (pow.f64 b 3) (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 4))))) (.f64 -2 (.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4)))))))
(*.f64 -2 (/.f64 a b))
(+.f64 (.f64 2 (.f64 (sqrt.f64 (.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (.f64 -2 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (sqrt.f64 (.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (+.f64 (.f64 -2 (/.f64 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (*.f64 -2 (/.f64 a b))))
(+.f64 (.f64 2 (.f64 (sqrt.f64 (.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (+.f64 (.f64 2 (.f64 (sqrt.f64 (.f64 (pow.f64 c 3) (pow.f64 a 5))) (/.f64 (pow.f64 (sqrt.f64 -4) 3) (pow.f64 b 4)))) (+.f64 (.f64 -2 (/.f64 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (.f64 -2 (/.f64 a b)))))
(*.f64 -2 (/.f64 a b))
(+.f64 (.f64 2 (.f64 (sqrt.f64 (.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (.f64 -2 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (sqrt.f64 (.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (+.f64 (.f64 -2 (/.f64 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (*.f64 -2 (/.f64 a b))))
(+.f64 (.f64 2 (.f64 (sqrt.f64 (.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (+.f64 (.f64 2 (.f64 (sqrt.f64 (.f64 (pow.f64 c 3) (pow.f64 a 5))) (/.f64 (pow.f64 (sqrt.f64 -4) 3) (pow.f64 b 4)))) (+.f64 (.f64 -2 (/.f64 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (.f64 -2 (/.f64 a b)))))
b
b
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))
(+.f64 b (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)))
(+.f64 b (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)))
(+.f64 b (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)))
b
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) b)
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) b)
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) b)
b
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) b)
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) b)
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) b)

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

eval266.0ms (2.3%)

Compiler: Compiled 11128 to 7581 computations (31.9% saved)

prune122.0ms (1.1%)

Pruning

31 alts after pruning (26 fresh and 5 done)

	Pruned	Kept	Total
New	514	18	532
Fresh	10	8	18
Picked	0	1	1
Done	2	4	6
Total	526	31	557

Error

0.2b

Counts

557 → 31

Alt Table

Click to see full alt table

Status	Error	Program
✓	44.3b	(/.f64 (neg.f64 b) a)
	55.0b	(.f64 -1/2 (/.f64 (fma.f64 (sqrt.f64 (.f64 a -4)) (sqrt.f64 c) b) a))
	37.0b	(.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c -4))))) (/.f64 -1/2 a))
	62.9b	(pow.f64 (/.f64 (+.f64 b b) (cbrt.f64 a)) 3)
	55.2b	(/.f64 1 (pow.f64 (cbrt.f64 (.f64 a (/.f64 -2 (fma.f64 (sqrt.f64 (.f64 a -4)) (sqrt.f64 c) b)))) 3))
	63.1b	(pow.f64 (pow.f64 (/.f64 (+.f64 b b) a) 3) 1/3)
	55.1b	(.f64 (+.f64 b (.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c))) (/.f64 -1/2 a))
	57.0b	(/.f64 (.f64 (/.f64 -1/2 a) (.f64 2 (pow.f64 b 3))) (fma.f64 b b 0))
	48.9b	(/.f64 (+.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) b) (*.f64 a -2))
✓	48.9b	(.f64 (+.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))) (/.f64 -1/2 a))
	55.2b	(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (fma.f64 (sqrt.f64 (.f64 a -4)) (sqrt.f64 c) b) -1/2)) 2) 1) (/.f64 (cbrt.f64 (.f64 (fma.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c) b) -1/2)) a))
✓	36.3b	(/.f64 (neg.f64 c) b)
	58.0b	(cbrt.f64 (pow.f64 (.f64 -1/2 (/.f64 (fma.f64 (sqrt.f64 (.f64 a -4)) (sqrt.f64 c) b) a)) 3))
	44.4b	(/.f64 1 (/.f64 (neg.f64 a) b))
▶	55.1b	(/.f64 1 (/.f64 a (.f64 (+.f64 (.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c)) b) -1/2)))
	44.4b	(/.f64 1 (*.f64 (/.f64 -1 b) a))
✓	44.4b	(*.f64 (+.f64 b b) (/.f64 -1/2 a))
▶	63.2b	(exp.f64 (log.f64 (/.f64 (+.f64 b b) a)))
	46.3b	(/.f64 1 (.f64 (/.f64 -2 (+.f64 b (hypot.f64 (.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a)) b))) a))
	48.9b	(+.f64 (.f64 (/.f64 -1/2 a) (sqrt.f64 (.f64 a (.f64 -4 c)))) (.f64 (/.f64 -1/2 a) b))
	62.4b	(/.f64 1 (/.f64 a (+.f64 b b)))
▶	46.0b	(.f64 (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (.f64 2 b)) (/.f64 -1/2 a))
▶	36.7b	(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
	44.6b	(-.f64 (/.f64 c b) (/.f64 b a))
	49.8b	(/.f64 (.f64 (/.f64 -1/2 a) (-.f64 (.f64 b b) (.f64 a (.f64 -4 c)))) (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))))
	61.4b	(-.f64 (+.f64 1 (/.f64 (+.f64 b b) a)) 1)
	61.3b	(sqrt.f64 (/.f64 (+.f64 b b) (*.f64 a a)))
✓	49.0b	(/.f64 1 (/.f64 a (.f64 (+.f64 (sqrt.f64 (.f64 a (*.f64 -4 c))) b) -1/2)))
	52.9b	(/.f64 1 (/.f64 a (.f64 (+.f64 (.f64 (sqrt.f64 (*.f64 -4 c)) (sqrt.f64 a)) b) -1/2)))
▶	62.4b	(/.f64 (+.f64 b b) a)
	55.1b	(pow.f64 (sqrt.f64 (.f64 -1/2 (/.f64 (fma.f64 (sqrt.f64 (.f64 a -4)) (sqrt.f64 c) b) a))) 2)

Compiler

Compiled 862 to 633 computations (26.6% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 a b) (/.f64 b c))
✓	0.8b	(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))

Compiler

Compiled 29 to 9 computations (69% saved)

series10.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

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

rewrite87.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

535×	`log-prod_binary64`
369×	`pow-prod-down_binary64`
313×	`fma-def_binary64`
279×	`pow2_binary64`
211×	`log-div_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	203	23
2	3082	23

Stop Event

1×	node limit

Counts

2 → 192

Calls

Call 1

Inputs
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
(-.f64 (/.f64 a b) (/.f64 b c))

Outputs

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simplify68.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

740×	`associate-*l/_binary64`
702×	`associate-/r/_binary64`
517×	`unswap-sqr_binary64`
495×	`associate-*r/_binary64`
345×	`times-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	53	1459
1	160	1381
2	591	1341
3	3351	1337

Stop Event

1×	node limit

Counts

264 → 212

Calls

Call 1

Inputs
(*.f64 -1 (/.f64 c b))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(/.f64 b a)
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(/.f64 b a)
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(/.f64 b a)
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(*.f64 -1 (/.f64 c b))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(*.f64 -1 (/.f64 c b))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(*.f64 -1 (/.f64 c b))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(/.f64 b a)
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(/.f64 b a)
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(*.f64 -1 (/.f64 b c))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(/.f64 a b)
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(/.f64 a b)
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(/.f64 a b)
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(*.f64 -1 (/.f64 b c))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(*.f64 -1 (/.f64 b c))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(*.f64 -1 (/.f64 b c))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(/.f64 a b)
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(/.f64 a b)
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))

Outputs
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (neg.f64 (/.f64 c b)))
(-.f64 (/.f64 (neg.f64 c) b) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a))
(neg.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)))
(.f64 c (-.f64 (/.f64 -1 b) (.f64 (/.f64 c (pow.f64 b 3)) a)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(fma.f64 -1 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1 (/.f64 c b) (neg.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 a a))))))
(-.f64 (-.f64 (/.f64 (neg.f64 c) b) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a))) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a))
(neg.f64 (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a) (/.f64 c b))))
(neg.f64 (fma.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) a (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a) (/.f64 c b))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(fma.f64 -1 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1 (/.f64 c b) (.f64 -1 (+.f64 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3))) (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 c 3)) (/.f64 (pow.f64 b 5) (.f64 a a))) (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3))) (/.f64 c b)) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a))
(-.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a) (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 4) (pow.f64 b 7))))) (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)))
(-.f64 (.f64 c (-.f64 (/.f64 -1 b) (.f64 (/.f64 c (pow.f64 b 3)) a))) (.f64 (.f64 a a) (+.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) a)))))
(/.f64 b a)
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (/.f64 (pow.f64 b 5) (.f64 (.f64 c c) (pow.f64 a 3)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (/.f64 (pow.f64 b 5) (.f64 c (.f64 c (pow.f64 a 3))))))
(+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 5) (.f64 (.f64 c c) (pow.f64 a 3)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (.f64 c c) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 c (.f64 c (pow.f64 a 3)))) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (.f64 c c) (pow.f64 a 3))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a)))) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (.f64 c c) (pow.f64 a 3))) (/.f64 (/.f64 (pow.f64 b 7) (pow.f64 a 4)) (pow.f64 c 3))))
(/.f64 b a)
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (/.f64 (pow.f64 b 5) (.f64 (.f64 c c) (pow.f64 a 3)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (/.f64 (pow.f64 b 5) (.f64 c (.f64 c (pow.f64 a 3))))))
(+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 5) (.f64 (.f64 c c) (pow.f64 a 3)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (.f64 c c) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 c (.f64 c (pow.f64 a 3)))) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (.f64 c c) (pow.f64 a 3))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a)))) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (.f64 c c) (pow.f64 a 3))) (/.f64 (/.f64 (pow.f64 b 7) (pow.f64 a 4)) (pow.f64 c 3))))
(/.f64 b a)
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (/.f64 (pow.f64 b 5) (.f64 (.f64 c c) (pow.f64 a 3)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (/.f64 (pow.f64 b 5) (.f64 c (.f64 c (pow.f64 a 3))))))
(+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 5) (.f64 (.f64 c c) (pow.f64 a 3)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (.f64 c c) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 c (.f64 c (pow.f64 a 3)))) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (.f64 c c) (pow.f64 a 3))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a)))) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (.f64 c c) (pow.f64 a 3))) (/.f64 (/.f64 (pow.f64 b 7) (pow.f64 a 4)) (pow.f64 c 3))))
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (neg.f64 (/.f64 c b)))
(-.f64 (/.f64 (neg.f64 c) b) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a))
(neg.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)))
(.f64 c (-.f64 (/.f64 -1 b) (.f64 (/.f64 c (pow.f64 b 3)) a)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(fma.f64 -1 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1 (/.f64 c b) (neg.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 a a))))))
(-.f64 (-.f64 (/.f64 (neg.f64 c) b) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a))) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a))
(neg.f64 (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a) (/.f64 c b))))
(neg.f64 (fma.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) a (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a) (/.f64 c b))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(fma.f64 -1 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1 (/.f64 c b) (.f64 -1 (+.f64 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3))) (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 c 3)) (/.f64 (pow.f64 b 5) (.f64 a a))) (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3))) (/.f64 c b)) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a))
(-.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a) (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 4) (pow.f64 b 7))))) (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)))
(-.f64 (.f64 c (-.f64 (/.f64 -1 b) (.f64 (/.f64 c (pow.f64 b 3)) a))) (.f64 (.f64 a a) (+.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) a)))))
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (neg.f64 (/.f64 c b)))
(-.f64 (/.f64 (neg.f64 c) b) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a))
(neg.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)))
(.f64 c (-.f64 (/.f64 -1 b) (.f64 (/.f64 c (pow.f64 b 3)) a)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(fma.f64 -1 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1 (/.f64 c b) (neg.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 a a))))))
(-.f64 (-.f64 (/.f64 (neg.f64 c) b) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a))) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a))
(neg.f64 (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a) (/.f64 c b))))
(neg.f64 (fma.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) a (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a) (/.f64 c b))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(fma.f64 -1 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1 (/.f64 c b) (.f64 -1 (+.f64 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3))) (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 c 3)) (/.f64 (pow.f64 b 5) (.f64 a a))) (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3))) (/.f64 c b)) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a))
(-.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a) (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 4) (pow.f64 b 7))))) (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)))
(-.f64 (.f64 c (-.f64 (/.f64 -1 b) (.f64 (/.f64 c (pow.f64 b 3)) a))) (.f64 (.f64 a a) (+.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) a)))))
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (neg.f64 (/.f64 c b)))
(-.f64 (/.f64 (neg.f64 c) b) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a))
(neg.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)))
(.f64 c (-.f64 (/.f64 -1 b) (.f64 (/.f64 c (pow.f64 b 3)) a)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(fma.f64 -1 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1 (/.f64 c b) (neg.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 a a))))))
(-.f64 (-.f64 (/.f64 (neg.f64 c) b) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a))) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a))
(neg.f64 (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a) (/.f64 c b))))
(neg.f64 (fma.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) a (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a) (/.f64 c b))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(fma.f64 -1 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1 (/.f64 c b) (.f64 -1 (+.f64 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3))) (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 c 3)) (/.f64 (pow.f64 b 5) (.f64 a a))) (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3))) (/.f64 c b)) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a))
(-.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a) (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 4) (pow.f64 b 7))))) (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)))
(-.f64 (.f64 c (-.f64 (/.f64 -1 b) (.f64 (/.f64 c (pow.f64 b 3)) a))) (.f64 (.f64 a a) (+.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) a)))))
(/.f64 b a)
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (/.f64 (pow.f64 b 5) (.f64 (.f64 c c) (pow.f64 a 3)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (/.f64 (pow.f64 b 5) (.f64 c (.f64 c (pow.f64 a 3))))))
(+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 5) (.f64 (.f64 c c) (pow.f64 a 3)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (.f64 c c) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 c (.f64 c (pow.f64 a 3)))) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (.f64 c c) (pow.f64 a 3))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a)))) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (.f64 c c) (pow.f64 a 3))) (/.f64 (/.f64 (pow.f64 b 7) (pow.f64 a 4)) (pow.f64 c 3))))
(/.f64 b a)
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (/.f64 (pow.f64 b 5) (.f64 (.f64 c c) (pow.f64 a 3)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (/.f64 (pow.f64 b 5) (.f64 c (.f64 c (pow.f64 a 3))))))
(+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 5) (.f64 (.f64 c c) (pow.f64 a 3)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (.f64 c c) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 c (.f64 c (pow.f64 a 3)))) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (.f64 c c) (pow.f64 a 3))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a)))) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (.f64 c c) (pow.f64 a 3))) (/.f64 (/.f64 (pow.f64 b 7) (pow.f64 a 4)) (pow.f64 c 3))))
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (neg.f64 (/.f64 b c)) (/.f64 a b))
(-.f64 (/.f64 a b) (/.f64 b c))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (neg.f64 (/.f64 b c)) (/.f64 a b))
(-.f64 (/.f64 a b) (/.f64 b c))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (neg.f64 (/.f64 b c)) (/.f64 a b))
(-.f64 (/.f64 a b) (/.f64 b c))
(/.f64 a b)
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (neg.f64 (/.f64 b c)) (/.f64 a b))
(-.f64 (/.f64 a b) (/.f64 b c))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (neg.f64 (/.f64 b c)) (/.f64 a b))
(-.f64 (/.f64 a b) (/.f64 b c))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (neg.f64 (/.f64 b c)) (/.f64 a b))
(-.f64 (/.f64 a b) (/.f64 b c))
(/.f64 a b)
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (neg.f64 (/.f64 b c)) (/.f64 a b))
(-.f64 (/.f64 a b) (/.f64 b c))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (neg.f64 (/.f64 b c)) (/.f64 a b))
(-.f64 (/.f64 a b) (/.f64 b c))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (neg.f64 (/.f64 b c)) (/.f64 a b))
(-.f64 (/.f64 a b) (/.f64 b c))
(/.f64 a b)
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (neg.f64 (/.f64 b c)) (/.f64 a b))
(-.f64 (/.f64 a b) (/.f64 b c))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (neg.f64 (/.f64 b c)) (/.f64 a b))
(-.f64 (/.f64 a b) (/.f64 b c))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (neg.f64 (/.f64 b c)) (/.f64 a b))
(-.f64 (/.f64 a b) (/.f64 b c))
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (neg.f64 (/.f64 b c)) (/.f64 a b))
(-.f64 (/.f64 a b) (/.f64 b c))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (neg.f64 (/.f64 b c)) (/.f64 a b))
(-.f64 (/.f64 a b) (/.f64 b c))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (neg.f64 (/.f64 b c)) (/.f64 a b))
(-.f64 (/.f64 a b) (/.f64 b c))
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (neg.f64 (/.f64 b c)) (/.f64 a b))
(-.f64 (/.f64 a b) (/.f64 b c))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (neg.f64 (/.f64 b c)) (/.f64 a b))
(-.f64 (/.f64 a b) (/.f64 b c))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (neg.f64 (/.f64 b c)) (/.f64 a b))
(-.f64 (/.f64 a b) (/.f64 b c))
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (neg.f64 (/.f64 b c)) (/.f64 a b))
(-.f64 (/.f64 a b) (/.f64 b c))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (neg.f64 (/.f64 b c)) (/.f64 a b))
(-.f64 (/.f64 a b) (/.f64 b c))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (neg.f64 (/.f64 b c)) (/.f64 a b))
(-.f64 (/.f64 a b) (/.f64 b c))
(/.f64 a b)
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (neg.f64 (/.f64 b c)) (/.f64 a b))
(-.f64 (/.f64 a b) (/.f64 b c))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (neg.f64 (/.f64 b c)) (/.f64 a b))
(-.f64 (/.f64 a b) (/.f64 b c))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (neg.f64 (/.f64 b c)) (/.f64 a b))
(-.f64 (/.f64 a b) (/.f64 b c))
(/.f64 a b)
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (neg.f64 (/.f64 b c)) (/.f64 a b))
(-.f64 (/.f64 a b) (/.f64 b c))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (neg.f64 (/.f64 b c)) (/.f64 a b))
(-.f64 (/.f64 a b) (/.f64 b c))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (neg.f64 (/.f64 b c)) (/.f64 a b))
(-.f64 (/.f64 a b) (/.f64 b c))

localize6.0ms (0.1%)

Compiler: Compiled 13 to 5 computations (61.5% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b))
✓	0.0b	(.f64 -2 (/.f64 (.f64 c a) b))
✓	3.3b	(.f64 (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (.f64 2 b)) (/.f64 -1/2 a))
	6.2b	(/.f64 (*.f64 c a) b)

Compiler

Compiled 56 to 27 computations (51.8% saved)

series27.0ms (0.2%)

Counts

3 → 60

Calls

27 calls:

Time	Variable		Point	Expression
13.0ms	a	@	0	(.f64 (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (.f64 2 b)) (/.f64 -1/2 a))
4.0ms	a	@	inf	(.f64 (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (.f64 2 b)) (/.f64 -1/2 a))
1.0ms	c	@	0	(.f64 (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (.f64 2 b)) (/.f64 -1/2 a))
1.0ms	b	@	0	(.f64 (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (.f64 2 b)) (/.f64 -1/2 a))
1.0ms	b	@	-inf	(.f64 (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (.f64 2 b)) (/.f64 -1/2 a))

rewrite92.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

793×	`log-prod_binary64`
344×	`fma-def_binary64`
280×	`pow1/3_binary64`
275×	`expm1-udef_binary64`
275×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	44
1	310	44
2	4234	44

Stop Event

1×	node limit

Counts

3 → 145

Calls

Call 1

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

Outputs

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

simplify171.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1032×	`fma-def_binary64`
939×	`fma-neg_binary64`
672×	`div-sub_binary64`
427×	`times-frac_binary64`
385×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 9 (0.0ms)

Iter	Nodes	Cost
0	16	644
1	29	590
2	56	590
3	91	590
4	138	590
5	198	590
6	314	590
7	416	590
8	782	590
9	1757	575
10	4250	575
11	5328	575
12	6178	575
13	6323	575
14	6387	575
15	6387	575
16	7869	575

Stop Event

1×	node limit

Counts

205 → 156

Calls

Call 1

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

Outputs
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(/.f64 b (neg.f64 a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(/.f64 b (neg.f64 a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(/.f64 b (neg.f64 a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(/.f64 b (neg.f64 a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 2 b)
(*.f64 b 2)
(.f64 -2 (/.f64 (.f64 c a) b))
(*.f64 -2 (/.f64 c (/.f64 b a)))
(*.f64 -2 (/.f64 a (/.f64 b c)))
(.f64 (/.f64 c b) (.f64 a -2))
(*.f64 c (/.f64 a (/.f64 b -2)))
(.f64 a (.f64 c (/.f64 -2 b)))
(+.f64 (.f64 2 b) (.f64 -2 (/.f64 (*.f64 c a) b)))
(fma.f64 2 b (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 -2 (/.f64 a (/.f64 b c)) (*.f64 b 2))
(fma.f64 b 2 (.f64 (/.f64 c b) (.f64 a -2)))
(fma.f64 b 2 (*.f64 c (/.f64 a (/.f64 b -2))))
(fma.f64 b 2 (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 b 2 (.f64 a (.f64 c (/.f64 -2 b))))
(.f64 2 (-.f64 b (.f64 a (/.f64 c b))))
(+.f64 (.f64 2 b) (.f64 -2 (/.f64 (*.f64 c a) b)))
(fma.f64 2 b (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 -2 (/.f64 a (/.f64 b c)) (*.f64 b 2))
(fma.f64 b 2 (.f64 (/.f64 c b) (.f64 a -2)))
(fma.f64 b 2 (*.f64 c (/.f64 a (/.f64 b -2))))
(fma.f64 b 2 (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 b 2 (.f64 a (.f64 c (/.f64 -2 b))))
(.f64 2 (-.f64 b (.f64 a (/.f64 c b))))
(+.f64 (.f64 2 b) (.f64 -2 (/.f64 (*.f64 c a) b)))
(fma.f64 2 b (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 -2 (/.f64 a (/.f64 b c)) (*.f64 b 2))
(fma.f64 b 2 (.f64 (/.f64 c b) (.f64 a -2)))
(fma.f64 b 2 (*.f64 c (/.f64 a (/.f64 b -2))))
(fma.f64 b 2 (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 b 2 (.f64 a (.f64 c (/.f64 -2 b))))
(.f64 2 (-.f64 b (.f64 a (/.f64 c b))))
(.f64 -2 (/.f64 (.f64 c a) b))
(*.f64 -2 (/.f64 c (/.f64 b a)))
(*.f64 -2 (/.f64 a (/.f64 b c)))
(.f64 (/.f64 c b) (.f64 a -2))
(*.f64 c (/.f64 a (/.f64 b -2)))
(.f64 a (.f64 c (/.f64 -2 b)))
(+.f64 (.f64 2 b) (.f64 -2 (/.f64 (*.f64 c a) b)))
(fma.f64 2 b (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 -2 (/.f64 a (/.f64 b c)) (*.f64 b 2))
(fma.f64 b 2 (.f64 (/.f64 c b) (.f64 a -2)))
(fma.f64 b 2 (*.f64 c (/.f64 a (/.f64 b -2))))
(fma.f64 b 2 (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 b 2 (.f64 a (.f64 c (/.f64 -2 b))))
(.f64 2 (-.f64 b (.f64 a (/.f64 c b))))
(+.f64 (.f64 2 b) (.f64 -2 (/.f64 (*.f64 c a) b)))
(fma.f64 2 b (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 -2 (/.f64 a (/.f64 b c)) (*.f64 b 2))
(fma.f64 b 2 (.f64 (/.f64 c b) (.f64 a -2)))
(fma.f64 b 2 (*.f64 c (/.f64 a (/.f64 b -2))))
(fma.f64 b 2 (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 b 2 (.f64 a (.f64 c (/.f64 -2 b))))
(.f64 2 (-.f64 b (.f64 a (/.f64 c b))))
(+.f64 (.f64 2 b) (.f64 -2 (/.f64 (*.f64 c a) b)))
(fma.f64 2 b (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 -2 (/.f64 a (/.f64 b c)) (*.f64 b 2))
(fma.f64 b 2 (.f64 (/.f64 c b) (.f64 a -2)))
(fma.f64 b 2 (*.f64 c (/.f64 a (/.f64 b -2))))
(fma.f64 b 2 (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 b 2 (.f64 a (.f64 c (/.f64 -2 b))))
(.f64 2 (-.f64 b (.f64 a (/.f64 c b))))
(*.f64 2 b)
(*.f64 b 2)
(.f64 -2 (/.f64 (.f64 c a) b))
(*.f64 -2 (/.f64 c (/.f64 b a)))
(*.f64 -2 (/.f64 a (/.f64 b c)))
(.f64 (/.f64 c b) (.f64 a -2))
(*.f64 c (/.f64 a (/.f64 b -2)))
(.f64 a (.f64 c (/.f64 -2 b)))
(+.f64 (.f64 2 b) (.f64 -2 (/.f64 (*.f64 c a) b)))
(fma.f64 2 b (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 -2 (/.f64 a (/.f64 b c)) (*.f64 b 2))
(fma.f64 b 2 (.f64 (/.f64 c b) (.f64 a -2)))
(fma.f64 b 2 (*.f64 c (/.f64 a (/.f64 b -2))))
(fma.f64 b 2 (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 b 2 (.f64 a (.f64 c (/.f64 -2 b))))
(.f64 2 (-.f64 b (.f64 a (/.f64 c b))))
(+.f64 (.f64 2 b) (.f64 -2 (/.f64 (*.f64 c a) b)))
(fma.f64 2 b (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 -2 (/.f64 a (/.f64 b c)) (*.f64 b 2))
(fma.f64 b 2 (.f64 (/.f64 c b) (.f64 a -2)))
(fma.f64 b 2 (*.f64 c (/.f64 a (/.f64 b -2))))
(fma.f64 b 2 (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 b 2 (.f64 a (.f64 c (/.f64 -2 b))))
(.f64 2 (-.f64 b (.f64 a (/.f64 c b))))
(+.f64 (.f64 2 b) (.f64 -2 (/.f64 (*.f64 c a) b)))
(fma.f64 2 b (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 -2 (/.f64 a (/.f64 b c)) (*.f64 b 2))
(fma.f64 b 2 (.f64 (/.f64 c b) (.f64 a -2)))
(fma.f64 b 2 (*.f64 c (/.f64 a (/.f64 b -2))))
(fma.f64 b 2 (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 b 2 (.f64 a (.f64 c (/.f64 -2 b))))
(.f64 2 (-.f64 b (.f64 a (/.f64 c b))))
(.f64 -2 (/.f64 (.f64 c a) b))
(*.f64 -2 (/.f64 c (/.f64 b a)))
(*.f64 -2 (/.f64 a (/.f64 b c)))
(.f64 (/.f64 c b) (.f64 a -2))
(*.f64 c (/.f64 a (/.f64 b -2)))
(.f64 a (.f64 c (/.f64 -2 b)))
(+.f64 (.f64 2 b) (.f64 -2 (/.f64 (*.f64 c a) b)))
(fma.f64 2 b (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 -2 (/.f64 a (/.f64 b c)) (*.f64 b 2))
(fma.f64 b 2 (.f64 (/.f64 c b) (.f64 a -2)))
(fma.f64 b 2 (*.f64 c (/.f64 a (/.f64 b -2))))
(fma.f64 b 2 (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 b 2 (.f64 a (.f64 c (/.f64 -2 b))))
(.f64 2 (-.f64 b (.f64 a (/.f64 c b))))
(+.f64 (.f64 2 b) (.f64 -2 (/.f64 (*.f64 c a) b)))
(fma.f64 2 b (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 -2 (/.f64 a (/.f64 b c)) (*.f64 b 2))
(fma.f64 b 2 (.f64 (/.f64 c b) (.f64 a -2)))
(fma.f64 b 2 (*.f64 c (/.f64 a (/.f64 b -2))))
(fma.f64 b 2 (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 b 2 (.f64 a (.f64 c (/.f64 -2 b))))
(.f64 2 (-.f64 b (.f64 a (/.f64 c b))))
(+.f64 (.f64 2 b) (.f64 -2 (/.f64 (*.f64 c a) b)))
(fma.f64 2 b (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 -2 (/.f64 a (/.f64 b c)) (*.f64 b 2))
(fma.f64 b 2 (.f64 (/.f64 c b) (.f64 a -2)))
(fma.f64 b 2 (*.f64 c (/.f64 a (/.f64 b -2))))
(fma.f64 b 2 (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 b 2 (.f64 a (.f64 c (/.f64 -2 b))))
(.f64 2 (-.f64 b (.f64 a (/.f64 c b))))
(.f64 -2 (/.f64 (.f64 c a) b))
(*.f64 -2 (/.f64 c (/.f64 b a)))
(*.f64 -2 (/.f64 a (/.f64 b c)))
(.f64 (/.f64 c b) (.f64 a -2))
(*.f64 c (/.f64 a (/.f64 b -2)))
(.f64 a (.f64 c (/.f64 -2 b)))
(+.f64 (.f64 2 b) (.f64 -2 (/.f64 (*.f64 c a) b)))
(fma.f64 2 b (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 -2 (/.f64 a (/.f64 b c)) (*.f64 b 2))
(fma.f64 b 2 (.f64 (/.f64 c b) (.f64 a -2)))
(fma.f64 b 2 (*.f64 c (/.f64 a (/.f64 b -2))))
(fma.f64 b 2 (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 b 2 (.f64 a (.f64 c (/.f64 -2 b))))
(.f64 2 (-.f64 b (.f64 a (/.f64 c b))))
(+.f64 (.f64 2 b) (.f64 -2 (/.f64 (*.f64 c a) b)))
(fma.f64 2 b (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 -2 (/.f64 a (/.f64 b c)) (*.f64 b 2))
(fma.f64 b 2 (.f64 (/.f64 c b) (.f64 a -2)))
(fma.f64 b 2 (*.f64 c (/.f64 a (/.f64 b -2))))
(fma.f64 b 2 (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 b 2 (.f64 a (.f64 c (/.f64 -2 b))))
(.f64 2 (-.f64 b (.f64 a (/.f64 c b))))
(+.f64 (.f64 2 b) (.f64 -2 (/.f64 (*.f64 c a) b)))
(fma.f64 2 b (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 -2 (/.f64 a (/.f64 b c)) (*.f64 b 2))
(fma.f64 b 2 (.f64 (/.f64 c b) (.f64 a -2)))
(fma.f64 b 2 (*.f64 c (/.f64 a (/.f64 b -2))))
(fma.f64 b 2 (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 b 2 (.f64 a (.f64 c (/.f64 -2 b))))
(.f64 2 (-.f64 b (.f64 a (/.f64 c b))))
(*.f64 2 b)
(*.f64 b 2)
(*.f64 2 b)
(*.f64 b 2)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	2.2b	(exp.f64 (log.f64 (/.f64 (+.f64 b b) a)))
✓	7.6b	(log.f64 (/.f64 (+.f64 b b) a))

Compiler

Compiled 26 to 7 computations (73.1% saved)

series120.0ms (1.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
41.0ms	b	@	-inf	(log.f64 (/.f64 (+.f64 b b) a))
21.0ms	b	@	0	(log.f64 (/.f64 (+.f64 b b) a))
21.0ms	a	@	-inf	(log.f64 (/.f64 (+.f64 b b) a))
21.0ms	a	@	0	(log.f64 (/.f64 (+.f64 b b) a))
7.0ms	b	@	inf	(log.f64 (/.f64 (+.f64 b b) a))

rewrite53.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

657×	`pow1_binary64`
614×	`add-log-exp_binary64`
613×	`log1p-expm1-u_binary64`
613×	`expm1-log1p-u_binary64`
600×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	16
1	138	16
2	2001	16

Stop Event

1×	node limit

Counts

2 → 76

Calls

Call 1

Inputs
(log.f64 (/.f64 (+.f64 b b) a))
(exp.f64 (log.f64 (/.f64 (+.f64 b b) a)))

Outputs

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

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

simplify116.0ms (1%)

Algorithm

1×	egg-herbie

Rules

926×	`fma-neg_binary64`
369×	`fma-def_binary64`
223×	`cancel-sign-sub-inv_binary64`
217×	`distribute-rgt-in_binary64`
160×	`associate--r+_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	460
1	67	456
2	114	456
3	288	456
4	737	456
5	1443	456
6	2497	456
7	3220	456
8	3455	456
9	3482	456
10	3482	456

Stop Event

1×

saturated

Counts

124 → 85

Calls

Call 1

Inputs
(+.f64 (log.f64 b) (log.f64 (/.f64 2 a)))
(+.f64 (log.f64 b) (log.f64 (/.f64 2 a)))
(+.f64 (log.f64 b) (log.f64 (/.f64 2 a)))
(+.f64 (log.f64 b) (log.f64 (/.f64 2 a)))
(+.f64 (log.f64 (/.f64 2 a)) (*.f64 -1 (log.f64 (/.f64 1 b))))
(+.f64 (log.f64 (/.f64 2 a)) (*.f64 -1 (log.f64 (/.f64 1 b))))
(+.f64 (log.f64 (/.f64 2 a)) (*.f64 -1 (log.f64 (/.f64 1 b))))
(+.f64 (log.f64 (/.f64 2 a)) (*.f64 -1 (log.f64 (/.f64 1 b))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 (/.f64 -2 a)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 (/.f64 -2 a)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 (/.f64 -2 a)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 (/.f64 -2 a)))
(+.f64 (log.f64 (.f64 2 b)) (.f64 -1 (log.f64 a)))
(+.f64 (log.f64 (.f64 2 b)) (.f64 -1 (log.f64 a)))
(+.f64 (log.f64 (.f64 2 b)) (.f64 -1 (log.f64 a)))
(+.f64 (log.f64 (.f64 2 b)) (.f64 -1 (log.f64 a)))
(+.f64 (log.f64 (*.f64 2 b)) (log.f64 (/.f64 1 a)))
(+.f64 (log.f64 (*.f64 2 b)) (log.f64 (/.f64 1 a)))
(+.f64 (log.f64 (*.f64 2 b)) (log.f64 (/.f64 1 a)))
(+.f64 (log.f64 (*.f64 2 b)) (log.f64 (/.f64 1 a)))
(+.f64 (log.f64 (*.f64 -2 b)) (log.f64 (/.f64 -1 a)))
(+.f64 (log.f64 (*.f64 -2 b)) (log.f64 (/.f64 -1 a)))
(+.f64 (log.f64 (*.f64 -2 b)) (log.f64 (/.f64 -1 a)))
(+.f64 (log.f64 (*.f64 -2 b)) (log.f64 (/.f64 -1 a)))
(*.f64 2 (/.f64 b a))
(*.f64 2 (/.f64 b a))
(*.f64 2 (/.f64 b a))
(*.f64 2 (/.f64 b a))
(*.f64 2 (/.f64 b a))
(*.f64 2 (/.f64 b a))
(*.f64 2 (/.f64 b a))
(*.f64 2 (/.f64 b a))
(*.f64 2 (/.f64 b a))
(*.f64 2 (/.f64 b a))
(*.f64 2 (/.f64 b a))
(*.f64 2 (/.f64 b a))
(*.f64 2 (/.f64 b a))
(*.f64 2 (/.f64 b a))
(*.f64 2 (/.f64 b a))
(*.f64 2 (/.f64 b a))
(*.f64 2 (/.f64 b a))
(*.f64 2 (/.f64 b a))
(*.f64 2 (/.f64 b a))
(*.f64 2 (/.f64 b a))
(*.f64 2 (/.f64 b a))
(*.f64 2 (/.f64 b a))
(*.f64 2 (/.f64 b a))
(*.f64 2 (/.f64 b a))

Outputs
(+.f64 (log.f64 b) (log.f64 (/.f64 2 a)))
(+.f64 (log.f64 b) (log.f64 (/.f64 2 a)))
(+.f64 (log.f64 b) (log.f64 (/.f64 2 a)))
(+.f64 (log.f64 b) (log.f64 (/.f64 2 a)))
(+.f64 (log.f64 (/.f64 2 a)) (*.f64 -1 (log.f64 (/.f64 1 b))))
(+.f64 (log.f64 b) (log.f64 (/.f64 2 a)))
(+.f64 (log.f64 (/.f64 2 a)) (*.f64 -1 (log.f64 (/.f64 1 b))))
(+.f64 (log.f64 b) (log.f64 (/.f64 2 a)))
(+.f64 (log.f64 (/.f64 2 a)) (*.f64 -1 (log.f64 (/.f64 1 b))))
(+.f64 (log.f64 b) (log.f64 (/.f64 2 a)))
(+.f64 (log.f64 (/.f64 2 a)) (*.f64 -1 (log.f64 (/.f64 1 b))))
(+.f64 (log.f64 b) (log.f64 (/.f64 2 a)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 (/.f64 -2 a)))
(fma.f64 -1 (log.f64 (/.f64 -1 b)) (log.f64 (/.f64 -2 a)))
(-.f64 (log.f64 (/.f64 -2 a)) (log.f64 (/.f64 -1 b)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 (/.f64 -2 a)))
(fma.f64 -1 (log.f64 (/.f64 -1 b)) (log.f64 (/.f64 -2 a)))
(-.f64 (log.f64 (/.f64 -2 a)) (log.f64 (/.f64 -1 b)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 (/.f64 -2 a)))
(fma.f64 -1 (log.f64 (/.f64 -1 b)) (log.f64 (/.f64 -2 a)))
(-.f64 (log.f64 (/.f64 -2 a)) (log.f64 (/.f64 -1 b)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 (/.f64 -2 a)))
(fma.f64 -1 (log.f64 (/.f64 -1 b)) (log.f64 (/.f64 -2 a)))
(-.f64 (log.f64 (/.f64 -2 a)) (log.f64 (/.f64 -1 b)))
(+.f64 (log.f64 (.f64 2 b)) (.f64 -1 (log.f64 a)))
(+.f64 (log.f64 b) (log.f64 (/.f64 2 a)))
(+.f64 (log.f64 (.f64 2 b)) (.f64 -1 (log.f64 a)))
(+.f64 (log.f64 b) (log.f64 (/.f64 2 a)))
(+.f64 (log.f64 (.f64 2 b)) (.f64 -1 (log.f64 a)))
(+.f64 (log.f64 b) (log.f64 (/.f64 2 a)))
(+.f64 (log.f64 (.f64 2 b)) (.f64 -1 (log.f64 a)))
(+.f64 (log.f64 b) (log.f64 (/.f64 2 a)))
(+.f64 (log.f64 (*.f64 2 b)) (log.f64 (/.f64 1 a)))
(+.f64 (log.f64 b) (log.f64 (/.f64 2 a)))
(+.f64 (log.f64 (*.f64 2 b)) (log.f64 (/.f64 1 a)))
(+.f64 (log.f64 b) (log.f64 (/.f64 2 a)))
(+.f64 (log.f64 (*.f64 2 b)) (log.f64 (/.f64 1 a)))
(+.f64 (log.f64 b) (log.f64 (/.f64 2 a)))
(+.f64 (log.f64 (*.f64 2 b)) (log.f64 (/.f64 1 a)))
(+.f64 (log.f64 b) (log.f64 (/.f64 2 a)))
(+.f64 (log.f64 (*.f64 -2 b)) (log.f64 (/.f64 -1 a)))
(+.f64 (log.f64 (*.f64 b -2)) (log.f64 (/.f64 -1 a)))
(+.f64 (log.f64 (*.f64 -2 b)) (log.f64 (/.f64 -1 a)))
(+.f64 (log.f64 (*.f64 b -2)) (log.f64 (/.f64 -1 a)))
(+.f64 (log.f64 (*.f64 -2 b)) (log.f64 (/.f64 -1 a)))
(+.f64 (log.f64 (*.f64 b -2)) (log.f64 (/.f64 -1 a)))
(+.f64 (log.f64 (*.f64 -2 b)) (log.f64 (/.f64 -1 a)))
(+.f64 (log.f64 (*.f64 b -2)) (log.f64 (/.f64 -1 a)))
(*.f64 2 (/.f64 b a))
(*.f64 b (/.f64 2 a))
(*.f64 2 (/.f64 b a))
(*.f64 b (/.f64 2 a))
(*.f64 2 (/.f64 b a))
(*.f64 b (/.f64 2 a))
(*.f64 2 (/.f64 b a))
(*.f64 b (/.f64 2 a))
(*.f64 2 (/.f64 b a))
(*.f64 b (/.f64 2 a))
(*.f64 2 (/.f64 b a))
(*.f64 b (/.f64 2 a))
(*.f64 2 (/.f64 b a))
(*.f64 b (/.f64 2 a))
(*.f64 2 (/.f64 b a))
(*.f64 b (/.f64 2 a))
(*.f64 2 (/.f64 b a))
(*.f64 b (/.f64 2 a))
(*.f64 2 (/.f64 b a))
(*.f64 b (/.f64 2 a))
(*.f64 2 (/.f64 b a))
(*.f64 b (/.f64 2 a))
(*.f64 2 (/.f64 b a))
(*.f64 b (/.f64 2 a))
(*.f64 2 (/.f64 b a))
(*.f64 b (/.f64 2 a))
(*.f64 2 (/.f64 b a))
(*.f64 b (/.f64 2 a))
(*.f64 2 (/.f64 b a))
(*.f64 b (/.f64 2 a))
(*.f64 2 (/.f64 b a))
(*.f64 b (/.f64 2 a))
(*.f64 2 (/.f64 b a))
(*.f64 b (/.f64 2 a))
(*.f64 2 (/.f64 b a))
(*.f64 b (/.f64 2 a))
(*.f64 2 (/.f64 b a))
(*.f64 b (/.f64 2 a))
(*.f64 2 (/.f64 b a))
(*.f64 b (/.f64 2 a))
(*.f64 2 (/.f64 b a))
(*.f64 b (/.f64 2 a))
(*.f64 2 (/.f64 b a))
(*.f64 b (/.f64 2 a))
(*.f64 2 (/.f64 b a))
(*.f64 b (/.f64 2 a))
(*.f64 2 (/.f64 b a))
(*.f64 b (/.f64 2 a))

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 (sqrt.f64 (.f64 a -4)) (sqrt.f64 c)) b)
✓	0.0b	(/.f64 a (.f64 (+.f64 (.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c)) b) -1/2))
✓	0.1b	(/.f64 1 (/.f64 a (.f64 (+.f64 (.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c)) b) -1/2)))
✓	0.1b	(.f64 (sqrt.f64 (.f64 a -4)) (sqrt.f64 c))

Compiler

Compiled 73 to 46 computations (37% saved)

series21.0ms (0.2%)

Counts

4 → 42

Calls

33 calls:

Time	Variable		Point	Expression
3.0ms	c	@	-inf	(/.f64 a (.f64 (+.f64 (.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c)) b) -1/2))
1.0ms	c	@	-inf	(/.f64 1 (/.f64 a (.f64 (+.f64 (.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c)) b) -1/2)))
1.0ms	c	@	-inf	(.f64 (sqrt.f64 (.f64 a -4)) (sqrt.f64 c))
1.0ms	c	@	inf	(/.f64 a (.f64 (+.f64 (.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c)) b) -1/2))
1.0ms	a	@	inf	(/.f64 a (.f64 (+.f64 (.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c)) b) -1/2))

rewrite95.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

779×	`log-prod_binary64`
388×	`pow2_binary64`
318×	`fma-def_binary64`
269×	`pow1/3_binary64`
267×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	60
1	322	57
2	4183	57

Stop Event

1×	node limit

Counts

4 → 174

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 a -4)) (sqrt.f64 c))
(/.f64 1 (/.f64 a (.f64 (+.f64 (.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c)) b) -1/2)))
(/.f64 a (.f64 (+.f64 (.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c)) b) -1/2))
(+.f64 (.f64 (sqrt.f64 (.f64 a -4)) (sqrt.f64 c)) b)

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

simplify133.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

882×	`associate-/l/_binary64`
557×	`times-frac_binary64`
527×	`associate-+l+_binary64`
404×	`associate-+r+_binary64`
345×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	80	898
1	227	839
2	755	798
3	3948	781
4	4755	781
5	5046	781
6	5651	781
7	6945	781
8	7236	781

Stop Event

1×	node limit

Counts

216 → 201

Calls

Call 1

Inputs
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(.f64 -1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(+.f64 (.f64 -1/2 (/.f64 b a)) (.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(+.f64 (.f64 -1/2 (/.f64 b a)) (.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(+.f64 (.f64 -1/2 (/.f64 b a)) (.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (/.f64 b a))
(+.f64 (.f64 -1/2 (/.f64 b a)) (.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(+.f64 (.f64 -1/2 (/.f64 b a)) (.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(+.f64 (.f64 -1/2 (/.f64 b a)) (.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (/.f64 b a))
(+.f64 (.f64 -1/2 (/.f64 b a)) (.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(+.f64 (.f64 -1/2 (/.f64 b a)) (.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(+.f64 (.f64 -1/2 (/.f64 b a)) (.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -2 (/.f64 a b))
(*.f64 -2 (/.f64 a b))
(.f64 -2 (.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4))))
(+.f64 (.f64 2 (/.f64 b (.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (.f64 -2 (.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4)))))
(+.f64 (.f64 -2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 (pow.f64 b 2) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 2 (/.f64 b (.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (.f64 -2 (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4))))))
(+.f64 (.f64 -2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 (pow.f64 b 2) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 2 (/.f64 b (.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (+.f64 (.f64 2 (/.f64 (pow.f64 b 3) (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 4))))) (.f64 -2 (.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4)))))))
(*.f64 -2 (/.f64 a b))
(+.f64 (.f64 2 (.f64 (sqrt.f64 (.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (.f64 -2 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (sqrt.f64 (.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (+.f64 (.f64 -2 (/.f64 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (*.f64 -2 (/.f64 a b))))
(+.f64 (.f64 2 (.f64 (sqrt.f64 (.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (+.f64 (.f64 2 (.f64 (sqrt.f64 (.f64 (pow.f64 c 3) (pow.f64 a 5))) (/.f64 (pow.f64 (sqrt.f64 -4) 3) (pow.f64 b 4)))) (+.f64 (.f64 -2 (/.f64 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (.f64 -2 (/.f64 a b)))))
(*.f64 -2 (/.f64 a b))
(+.f64 (.f64 2 (.f64 (sqrt.f64 (.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (.f64 -2 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (sqrt.f64 (.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (+.f64 (.f64 -2 (/.f64 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (*.f64 -2 (/.f64 a b))))
(+.f64 (.f64 2 (.f64 (sqrt.f64 (.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (+.f64 (.f64 2 (.f64 (sqrt.f64 (.f64 (pow.f64 c 3) (pow.f64 a 5))) (/.f64 (pow.f64 (sqrt.f64 -4) 3) (pow.f64 b 4)))) (+.f64 (.f64 -2 (/.f64 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (.f64 -2 (/.f64 a b)))))
b
b
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))
(+.f64 b (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)))
(+.f64 b (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)))
(+.f64 b (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)))
b
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) b)
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) b)
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) b)
b
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) b)
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) b)
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) b)

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

eval283.0ms (2.5%)

Compiler: Compiled 13278 to 7224 computations (45.6% saved)

prune184.0ms (1.6%)

Pruning

35 alts after pruning (27 fresh and 8 done)

	Pruned	Kept	Total
New	693	14	707
Fresh	8	13	21
Picked	0	1	1
Done	2	7	9
Total	703	35	738

Error

0.2b

Counts

738 → 35

Alt Table

Click to see full alt table

Status	Error	Program
✓	44.3b	(/.f64 (neg.f64 b) a)
	55.0b	(.f64 -1/2 (/.f64 (fma.f64 (sqrt.f64 (.f64 a -4)) (sqrt.f64 c) b) a))
	37.0b	(.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c -4))))) (/.f64 -1/2 a))
	62.9b	(pow.f64 (/.f64 (+.f64 b b) (cbrt.f64 a)) 3)
	55.2b	(/.f64 1 (pow.f64 (cbrt.f64 (.f64 a (/.f64 -2 (fma.f64 (sqrt.f64 (.f64 a -4)) (sqrt.f64 c) b)))) 3))
	54.8b	(log.f64 (exp.f64 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))))
	55.1b	(.f64 (+.f64 b (.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c))) (/.f64 -1/2 a))
	61.3b	(sqrt.f64 (/.f64 (+.f64 b b) (*.f64 a a)))
	62.4b	(/.f64 2 (/.f64 a b))
	48.9b	(/.f64 (+.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) b) (*.f64 a -2))
	63.2b	(pow.f64 (exp.f64 1) (log.f64 (*.f64 2 (/.f64 b a))))
✓	36.3b	(/.f64 (neg.f64 c) b)
	61.8b	(exp.f64 (neg.f64 (log.f64 (*.f64 a (+.f64 b b)))))
	58.0b	(cbrt.f64 (pow.f64 (.f64 -1/2 (/.f64 (fma.f64 (sqrt.f64 (.f64 a -4)) (sqrt.f64 c) b) a)) 3))
	46.3b	(/.f64 1 (.f64 (/.f64 -2 (+.f64 b (hypot.f64 (.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a)) b))) a))
	48.9b	(+.f64 (.f64 (/.f64 -1/2 a) (sqrt.f64 (.f64 a (.f64 -4 c)))) (.f64 (/.f64 -1/2 a) b))
	55.4b	(/.f64 c b)
	59.4b	(/.f64 1 (*.f64 a (+.f64 b b)))
	54.8b	(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))))))
	62.4b	(/.f64 b a)
	62.4b	(*.f64 b (/.f64 2 a))
	52.9b	(/.f64 1 (/.f64 a (.f64 (+.f64 (.f64 (sqrt.f64 (*.f64 -4 c)) (sqrt.f64 a)) b) -1/2)))
	55.1b	(/.f64 1 (/.f64 a (.f64 (fma.f64 (pow.f64 (.f64 a -4) 1/4) (.f64 (pow.f64 (.f64 a -4) 1/4) (sqrt.f64 c)) b) -1/2)))
✓	62.4b	(/.f64 (+.f64 b b) a)
✓	36.7b	(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
	59.2b	(*.f64 (+.f64 b b) (/.f64 1 (neg.f64 a)))
	49.8b	(/.f64 (.f64 (/.f64 -1/2 a) (-.f64 (.f64 b b) (.f64 a (.f64 -4 c)))) (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))))
	61.4b	(-.f64 (+.f64 1 (/.f64 (+.f64 b b) a)) 1)
	59.2b	(/.f64 (+.f64 b b) (neg.f64 a))
	55.1b	(pow.f64 (sqrt.f64 (.f64 -1/2 (/.f64 (fma.f64 (sqrt.f64 (.f64 a -4)) (sqrt.f64 c) b) a))) 2)
	48.9b	(.f64 (/.f64 1 a) (/.f64 1 (/.f64 -2 (+.f64 (sqrt.f64 (.f64 a (*.f64 -4 c))) b))))
✓	49.0b	(/.f64 1 (/.f64 a (.f64 (+.f64 (sqrt.f64 (.f64 a (*.f64 -4 c))) b) -1/2)))
✓	48.9b	(.f64 (+.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))) (/.f64 -1/2 a))
✓	55.1b	(/.f64 1 (/.f64 a (.f64 (+.f64 (.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c)) b) -1/2)))
✓	63.2b	(exp.f64 (log.f64 (/.f64 (+.f64 b b) a)))

Compiler

Compiled 497 to 363 computations (27% saved)

regimes1.5s (13.5%)

Counts

79 → 3

Calls

Call 1

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

Outputs
(/.f64 (neg.f64 c) b)
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))
(/.f64 (neg.f64 b) a)

Calls

4 calls:

858.0ms	c
352.0ms	a
156.0ms	b
148.0ms	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))

Results

Error	Segments	Branch
27.3b	6	`a`
9.2b	3	`b`
24.1b	11	`c`
13.1b	5	`(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))`

Compiler

Compiled 976 to 560 computations (42.6% saved)

bsearch225.0ms (2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
149.0ms	3.0022031608920826e+26	1.137396446157511e+37
76.0ms	-9.669919288881662e-101	-8.682978906766823e-112

Compiler

Compiled 606 to 439 computations (27.6% saved)

regimes12.0ms (0.1%)

Accuracy

Total -7.6b remaining (-13.8%)

Threshold costs -7.6b (-13.8%)

Counts

2 → 1

Calls

Call 1

Inputs
(/.f64 c b)
(/.f64 b a)

Outputs
(/.f64 c b)

Calls

3 calls:

4.0ms	a
3.0ms	b
3.0ms	c

Results

Error	Segments	Branch
55.4b	1	`a`
55.4b	1	`b`
55.4b	1	`c`

Compiler

Compiled 21 to 14 computations (33.3% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

13×	`+-commutative_binary64`
13×	`*-commutative_binary64`
12×	`sub-neg_binary64`
10×	`neg-sub0_binary64`
10×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	58
1	46	58
2	67	58
3	91	58
4	103	58
5	109	58
6	111	58

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs

(if (<=.f64 b -4765526036770151/5415370496329716522614090203404460358274291162843391748379842930887932241807862544999950011922147613471467208908991351228465152) (/.f64 (neg.f64 c) b) (if (<=.f64 b 305000000000000013673431040) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a)) (/.f64 (neg.f64 b) a)))

(/.f64 c b)

(/.f64 b a)

Outputs
(if (<=.f64 b -4765526036770151/5415370496329716522614090203404460358274291162843391748379842930887932241807862544999950011922147613471467208908991351228465152) (/.f64 (neg.f64 c) b) (if (<=.f64 b 305000000000000013673431040) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a)) (/.f64 (neg.f64 b) a)))
(if (<=.f64 b -4765526036770151/5415370496329716522614090203404460358274291162843391748379842930887932241807862544999950011922147613471467208908991351228465152) (/.f64 (neg.f64 c) b) (if (<=.f64 b 305000000000000013673431040) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (+.f64 (.f64 b b) (.f64 -4 (.f64 c a))))) (.f64 a 2)) (/.f64 (neg.f64 b) a)))
(if (<=.f64 b -4765526036770151/5415370496329716522614090203404460358274291162843391748379842930887932241807862544999950011922147613471467208908991351228465152) (/.f64 (neg.f64 c) b) (if (<=.f64 b 305000000000000013673431040) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) -4)))) (.f64 a 2)) (/.f64 (neg.f64 b) a)))
(/.f64 c b)
(/.f64 b a)

Compiler

Compiled 48 to 31 computations (35.4% saved)

soundness512.0ms (4.5%)

Algorithm

3×	egg-herbie

Rules

1217×	`fma-neg_binary64`
846×	`fma-def_binary64`
808×	`associate-/r*_binary64`
776×	`div-sub_binary64`
708×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	15	26
1	38	24
2	100	24
3	259	22
4	461	22
5	840	22
6	1793	22
7	3010	22
8	3701	22
9	4761	22
10	6491	22
11	7461	22
12	7587	22
13	7682	22
14	7714	22
0	217	1823
1	673	1443
2	2786	1382
3	7192	1375
0	151	2214
1	462	2111
2	1564	2000
3	7470	2000

Stop Event

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

Compiler

Compiled 372 to 272 computations (26.9% saved)

end62.0ms (0.5%)

Compiler: Compiled 42 to 25 computations (40.5% saved)

Iter	Nodes	Cost
0	11	828
1	21	828
2	41	828
3	74	828
4	110	828
5	129	828
6	137	828
7	158	828
8	244	828
9	344	828

Iter	Nodes	Cost
0	11	828
1	21	828
2	41	828
3	74	828
4	110	828
5	129	828
6	137	828
7	158	828
8	244	828
9	344	828

Iter	Nodes	Cost
0	11	828
1	21	828
2	41	828
3	74	828
4	110	828
5	129	828
6	137	828
7	158	828
8	244	828
9	344	828