Details

analyze285.0ms (1.9%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
0%	0%	95.2%	0.1%	0%	4.7%	0%	7
6.6%	6.2%	88.2%	0.1%	0%	5.5%	0%	8
11.2%	10.1%	80.4%	0.1%	1.2%	8.2%	0%	9
17.4%	15.2%	72.2%	0.1%	1.4%	11.1%	0%	10
26.2%	22.2%	62.5%	0.1%	2.1%	13%	0%	11
35.6%	29.1%	52.5%	0.1%	3.3%	15.1%	0%	12

Compiler

Compiled 17 to 11 computations (35.3% saved)

sample1.8s (12.2%)

Results

658.0ms	5504×	body	256	valid
438.0ms	1206×	body	2048	valid
214.0ms	760×	body	1024	valid
212.0ms	1215×	body	256	invalid
189.0ms	417×	body	4096	valid
79.0ms	369×	body	512	valid
41.0ms	346×	body	256	infinite

Bogosity

preprocess137.0ms (0.9%)

Algorithm

2×	egg-herbie

Rules

1000×	`fma-def_binary64`
869×	`fma-neg_binary64`
582×	`div-sub_binary64`
515×	`associate-/l*_binary64`
440×	`times-frac_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	80
1	82	80
2	167	80
3	390	80
4	694	80
5	1256	80
6	3283	80
7	5846	80
8	6771	80
9	7070	80
10	7143	80
11	7207	80
0	3	3

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

simplify128.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

518×	`div-sub_binary64`
428×	`fma-neg_binary64`
310×	`distribute-rgt-in_binary64`
289×	`distribute-lft-in_binary64`
260×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	20
1	27	20
2	57	20
3	126	20
4	216	20
5	394	20
6	664	20
7	1011	20
8	1224	20
9	1611	20
10	3156	20
11	5868	20
12	5966	20
13	5974	20
14	5982	20
15	5982	20
16	6040	20
17	6076	20
18	6106	20
19	6118	20

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

Compiler: Compiled 16 to 10 computations (37.5% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

35.4b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	35.4b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Compiler

Compiled 16 to 10 computations (37.5% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
✓	0.6b	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	1.8b	(-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
✓	25.1b	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

Compiler

Compiled 53 to 10 computations (81.1% saved)

series112.0ms (0.7%)

Counts

4 → 96

Calls

36 calls:

Time	Variable		Point	Expression
86.0ms	b_2	@	inf	(-.f64 (.f64 b_2 b_2) (.f64 a c))
2.0ms	b_2	@	-inf	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
2.0ms	b_2	@	0	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
1.0ms	a	@	inf	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
1.0ms	c	@	inf	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

rewrite142.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

693×	`fma-def_binary64`
645×	`log-prod_binary64`
352×	`fma-neg_binary64`
221×	`pow1/3_binary64`
218×	`expm1-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	59
1	262	55
2	4082	52

Stop Event

1×	node limit

Counts

4 → 381

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))) (cbrt.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/2) (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 6) (pow.f64 (.f64 a c) 3))) (sqrt.f64 (fma.f64 (.f64 a c) (fma.f64 b_2 b_2 (.f64 a c)) (pow.f64 b_2 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 4) (pow.f64 (.f64 a c) 2))) (hypot.f64 b_2 (sqrt.f64 (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))) (sqrt.f64 (fma.f64 a (neg.f64 c) (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (fma.f64 a (neg.f64 c) (.f64 a c))) (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (.f64 a (neg.f64 c))) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 b_2 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 b_2 (.f64 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (fma.f64 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) 1 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))) (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (+.f64 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))) (cbrt.f64 (exp.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))) (pow.f64 (cbrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))) 2) (cbrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))) (sqrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 b_2 3) (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2)) (/.f64 1 (fma.f64 b_2 b_2 (fma.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))) (-.f64 (.f64 b_2 b_2) (.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (fma.f64 b_2 b_2 (.f64 b_2 b_2)) (.f64 a c)) (/.f64 1 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))))))) (#(struct:change 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(/.f64 (pow.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) 3) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b_2 (/.f64 1 a) (neg.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 b_2 a) (neg.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 b_2 a) (neg.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (cbrt.f64 (/.f64 b_2 a)) (cbrt.f64 (/.f64 b_2 a))) (cbrt.f64 (/.f64 b_2 a)) (neg.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 b_2 a)) (sqrt.f64 (/.f64 b_2 a)) (neg.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 b_2 (cbrt.f64 a)) (neg.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 b_2 (sqrt.f64 a)) (neg.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (.f64 b_2 b_2)) 1) (/.f64 (cbrt.f64 b_2) a) (neg.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 b_2) 1) (/.f64 (sqrt.f64 b_2) a) (neg.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (.f64 b_2 b_2)) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (cbrt.f64 b_2) (cbrt.f64 a)) (neg.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 b_2) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (sqrt.f64 b_2) (cbrt.f64 a)) (neg.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 b_2 (cbrt.f64 a)) (neg.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (.f64 b_2 b_2)) (sqrt.f64 a)) (/.f64 (cbrt.f64 b_2) (sqrt.f64 a)) (neg.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 b_2) (sqrt.f64 a)) (/.f64 (sqrt.f64 b_2) (sqrt.f64 a)) (neg.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 (sqrt.f64 a)) (/.f64 b_2 (sqrt.f64 a)) (neg.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) a)))))))

simplify111.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

671×	`fma-def_binary64`
606×	`times-frac_binary64`
583×	`associate-r_binary64`
563×	`fma-neg_binary64`
550×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	151	2181
1	470	2117
2	1570	2070
3	7232	2034

Stop Event

1×	node limit

Counts

477 → 456

Calls

Call 1

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

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

eval124.0ms (0.8%)

Compiler: Compiled 11079 to 3311 computations (70.1% saved)

prune140.0ms (0.9%)

Pruning

26 alts after pruning (25 fresh and 1 done)

	Pruned	Kept	Total
New	431	25	456
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	431	26	457

Error

5.3b

Counts

457 → 26

Alt Table

Click to see full alt table

Status	Error	Program
	45.9b	(fma.f64 -1/2 (/.f64 c b_2) (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (*.f64 a -1/8)))
	47.3b	(pow.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) -1)
	52.8b	(/.f64 (fma.f64 -1/8 (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (*.f64 c a) b_2))) a)
	48.0b	(/.f64 (/.f64 (+.f64 (fma.f64 b_2 b_2 (.f64 b_2 b_2)) (.f64 a c)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) a)
	36.0b	(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 2)) a)
	55.5b	(/.f64 (-.f64 (neg.f64 b_2) (+.f64 (.f64 -1 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))) a)
	45.9b	(/.f64 (-.f64 (neg.f64 b_2) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))) a)
▶	36.2b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 3))) a)
✓	35.4b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
▶	35.4b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (+.f64 (.f64 b_2 b_2) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (.f64 a c)))))) a)
	45.6b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))) a)
	55.3b	(/.f64 (-.f64 (neg.f64 b_2) (neg.f64 b_2)) a)
	38.9b	(/.f64 (-.f64 (neg.f64 b_2) (exp.f64 (.f64 (log.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) 1/2))) a)
	38.2b	(/.f64 (-.f64 (neg.f64 b_2) (exp.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))) a)
▶	47.6b	(/.f64 (-.f64 (neg.f64 b_2) (cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2))) a)
▶	45.9b	(/.f64 (+.f64 (.f64 -2 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2))) a)
	47.3b	(/.f64 (+.f64 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) b_2) a)
	44.2b	(/.f64 (*.f64 b_2 -2) a)
	44.6b	(/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)
	43.5b	(/.f64 (*.f64 -1/2 (/.f64 a (/.f64 b_2 c))) a)
	44.2b	(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
	54.8b	(.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (sqrt.f64 a)))
	47.3b	(.f64 (/.f64 1 a) (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))
▶	39.6b	(*.f64 -1/2 (/.f64 c b_2))
	57.0b	(exp.f64 (log.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a)))
	55.7b	(cbrt.f64 (pow.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a) 3))

Compiler

Compiled 844 to 560 computations (33.6% saved)

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(+.f64 (.f64 b_2 b_2) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (.f64 a c))))
✓	1.8b	(-.f64 (neg.f64 b_2) (sqrt.f64 (+.f64 (.f64 b_2 b_2) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (.f64 a c))))))
✓	25.1b	(sqrt.f64 (+.f64 (.f64 b_2 b_2) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (.f64 a c)))))
✓	53.4b	(fma.f64 a (neg.f64 c) (*.f64 a c))

Compiler

Compiled 105 to 13 computations (87.6% saved)

series27.0ms (0.2%)

Counts

4 → 100

Calls

33 calls:

Time	Variable		Point	Expression
3.0ms	a	@	inf	(sqrt.f64 (+.f64 (.f64 b_2 b_2) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (.f64 a c)))))
3.0ms	a	@	0	(-.f64 (neg.f64 b_2) (sqrt.f64 (+.f64 (.f64 b_2 b_2) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (.f64 a c))))))
1.0ms	a	@	0	(sqrt.f64 (+.f64 (.f64 b_2 b_2) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (.f64 a c)))))
1.0ms	a	@	-inf	(sqrt.f64 (+.f64 (.f64 b_2 b_2) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (.f64 a c)))))
1.0ms	c	@	-inf	(sqrt.f64 (+.f64 (.f64 b_2 b_2) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (.f64 a c)))))

rewrite99.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

623×	`fma-def_binary64`
600×	`log-prod_binary64`
325×	`pow2_binary64`
324×	`fma-neg_binary64`
223×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	79
1	285	57
2	4115	57

Stop Event

1×	node limit

Counts

4 → 253

Calls

Call 1

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

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

simplify62.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

790×	`fma-def_binary64`
718×	`distribute-rgt-in_binary64`
673×	`distribute-lft-in_binary64`
610×	`associate-/l*_binary64`
487×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	176	1805
1	568	1460
2	2004	1426

Stop Event

1×	node limit

Counts

353 → 330

Calls

Call 1

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

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

localize6.0ms (0%)

Compiler: Compiled 14 to 7 computations (50% saved)

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 1/2 (/.f64 (.f64 c a) b_2))
✓	0.0b	(+.f64 (.f64 -2 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))
✓	4.8b	(/.f64 (*.f64 c a) b_2)
✓	5.4b	(/.f64 (+.f64 (.f64 -2 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2))) a)

Compiler

Compiled 50 to 22 computations (56% saved)

series16.0ms (0.1%)

Counts

4 → 45

Calls

36 calls:

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

rewrite113.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

725×	`log-prod_binary64`
355×	`pow2_binary64`
311×	`fma-def_binary64`
249×	`pow1/3_binary64`
244×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	48
1	267	48
2	3798	48

Stop Event

1×	node limit

Counts

4 → 181

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 1/2 (.f64 (/.f64 c b_2) a) (.f64 -2 b_2)) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 1/2 (.f64 (/.f64 c b_2) a) (.f64 -2 b_2)) a))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 1/2 (.f64 (/.f64 c b_2) a) (.f64 -2 b_2)) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 1/2 (.f64 (/.f64 c b_2) a) (.f64 -2 b_2)) a)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 1/2 (.f64 (/.f64 c b_2) a) (.f64 -2 b_2)) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 1/2 (.f64 (/.f64 c b_2) a) (.f64 -2 b_2)) a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 1/2 (.f64 (/.f64 c b_2) a) (.f64 -2 b_2)) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fma.f64 1/2 (.f64 (/.f64 c b_2) a) (.f64 -2 b_2)) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (fma.f64 1/2 (.f64 (/.f64 c b_2) a) (.f64 -2 b_2)) a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (/.f64 c b_2) a) (.f64 -2 b_2))) 2) (.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (/.f64 c b_2) a) (.f64 -2 b_2))) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (fma.f64 1/2 (.f64 (/.f64 c b_2) a) (.f64 -2 b_2)) a)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 1/2 (.f64 (/.f64 c b_2) a) (.f64 -2 b_2)) a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 1/2 (.f64 (/.f64 c b_2) a) (.f64 -2 b_2)) a)) 2) (cbrt.f64 (/.f64 (fma.f64 1/2 (.f64 (/.f64 c b_2) a) (.f64 -2 b_2)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 1/2 (.f64 (/.f64 c b_2) a) (.f64 -2 b_2))) (.f64 (sqrt.f64 (fma.f64 1/2 (.f64 (/.f64 c b_2) a) (.f64 -2 b_2))) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (fma.f64 1/2 (.f64 (/.f64 c b_2) a) (.f64 -2 b_2)) a)) (sqrt.f64 (/.f64 (fma.f64 1/2 (.f64 (/.f64 c b_2) a) (.f64 -2 b_2)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (fma.f64 1/2 (.f64 (/.f64 c b_2) a) (.f64 -2 b_2))) (/.f64 1 (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 a) (fma.f64 1/2 (.f64 (/.f64 c b_2) a) (.f64 -2 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (/.f64 c b_2) a) (.f64 -2 b_2))) 2) 1) (/.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (/.f64 c b_2) a) (.f64 -2 b_2))) a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (fma.f64 1/2 (.f64 (/.f64 c b_2) a) (.f64 -2 b_2))) 1) (/.f64 (sqrt.f64 (fma.f64 1/2 (.f64 (/.f64 c b_2) a) (.f64 -2 b_2))) a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 (fma.f64 1/2 (.f64 (/.f64 c b_2) a) (.f64 -2 b_2)) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (/.f64 c b_2) a) (.f64 -2 b_2))) 2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 (/.f64 (fma.f64 1/2 (.f64 (/.f64 c b_2) a) (.f64 -2 b_2)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (fma.f64 1/2 (.f64 (/.f64 c b_2) a) (.f64 -2 b_2))) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (sqrt.f64 (fma.f64 1/2 (.f64 (/.f64 c b_2) a) (.f64 -2 b_2))) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 a)) (/.f64 (fma.f64 1/2 (.f64 (/.f64 c b_2) a) (.f64 -2 b_2)) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (/.f64 c b_2) a) (.f64 -2 b_2))) 2) (sqrt.f64 a)) (/.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (/.f64 c b_2) a) (.f64 -2 b_2))) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 1/2 (.f64 (/.f64 c b_2) a) (.f64 -2 b_2)) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 1/2 (.f64 (/.f64 c b_2) a) (.f64 -2 b_2)) a) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 1/2 (.f64 (/.f64 c b_2) a) (.f64 -2 b_2)) a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 1/2 (.f64 (/.f64 c b_2) a) (.f64 -2 b_2)) a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 1/2 (.f64 (/.f64 c b_2) a) (.f64 -2 b_2)) a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (fma.f64 1/2 (.f64 (/.f64 c b_2) a) (.f64 -2 b_2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (fma.f64 1/2 (.f64 (/.f64 c b_2) a) (.f64 -2 b_2)) 3) (pow.f64 a 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 a (fma.f64 1/2 (.f64 (/.f64 c b_2) a) (.f64 -2 b_2))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 1/2 (.f64 (/.f64 c b_2) a) (.f64 -2 b_2)) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 1/2 (.f64 (/.f64 c b_2) a) (.f64 -2 b_2)) a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 1/2 (.f64 (/.f64 c b_2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (.f64 (/.f64 c b_2) a)))) 2)) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (.f64 (/.f64 c b_2) a))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (.f64 (/.f64 c b_2) a))))) (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (.f64 (/.f64 c b_2) a))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 1/2 (.f64 (/.f64 c b_2) a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 (/.f64 b_2 c) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 b_2 (.f64 1/2 (.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1/2 (.f64 c a)) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 1/2 (.f64 c a))) (neg.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 1/2 (.f64 c a)) 1) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 1/2 (.f64 c a)) (pow.f64 (cbrt.f64 b_2) 2)) (cbrt.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 1/2 (.f64 c a)) (sqrt.f64 b_2)) (sqrt.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 c 1/2) (/.f64 b_2 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 c (neg.f64 a)) 1/2) (neg.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1/2 c) (/.f64 b_2 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1/2 (.f64 c (neg.f64 a))) (neg.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/2 (.f64 (/.f64 c b_2) a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/4 (pow.f64 (.f64 (/.f64 c b_2) a) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 1/2 (.f64 (/.f64 c b_2) a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 1/2 (.f64 (/.f64 c b_2) a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/8 (pow.f64 (.f64 (/.f64 c b_2) a) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 b_2 (.f64 1/2 (.f64 c a))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 1/4 (pow.f64 (.f64 (/.f64 c b_2) a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (sqrt.f64 (exp.f64 (.f64 (/.f64 c b_2) a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 1/2 (.f64 (/.f64 c b_2) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 1/8 (pow.f64 (.f64 (/.f64 c b_2) a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 1/2 (.f64 (/.f64 c b_2) a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 1/2 (.f64 (/.f64 c b_2) a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 1/2 (.f64 (/.f64 c b_2) a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 1/2 (.f64 (/.f64 c b_2) a))) 1))))))

simplify49.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

17×	`associate-/l*_binary64`
15×	`*-commutative_binary64`
10×	`associate-/r/_binary64`
9×	`associate-l_binary64`
8×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	507
1	28	507
2	50	507
3	74	507
4	100	507
5	112	507

Stop Event

1×

saturated

Counts

226 → 191

Calls

Call 1

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

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

localize31.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2)
	0.6b	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	1.8b	(-.f64 (neg.f64 b_2) (cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2)))
✓	39.5b	(cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2))

Compiler

Compiled 69 to 22 computations (68.1% saved)

series32.0ms (0.2%)

Counts

3 → 76

Calls

27 calls:

Time	Variable		Point	Expression
7.0ms	c	@	inf	(pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2)
3.0ms	c	@	-inf	(cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2))
3.0ms	a	@	inf	(pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2)
2.0ms	b_2	@	0	(pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2)
2.0ms	b_2	@	inf	(pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2)

rewrite96.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

614×	`fma-def_binary64`
586×	`log-prod_binary64`
321×	`pow2_binary64`
288×	`fma-neg_binary64`
218×	`expm1-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	48
1	278	40
2	3887	38

Stop Event

1×	node limit

Counts

3 → 167

Calls

Call 1

Inputs
(cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2))
(-.f64 (neg.f64 b_2) (cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2)))
(pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2)

Outputs

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

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

simplify87.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

922×	`associate-*l/_binary64`
377×	`fma-def_binary64`
352×	`distribute-rgt-in_binary64`
345×	`distribute-lft-in_binary64`
327×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	314	3320
1	1050	2990
2	4301	2709

Stop Event

1×	node limit

Counts

243 → 276

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1))))))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 -1) 5)))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))))
b_2
(+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))))
(*.f64 -1 b_2)
(+.f64 (.f64 -1 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(+.f64 (.f64 -1 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 c a) b_2))))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))))
b_2
(+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))))
b_2
(+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))))
(.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)))
(+.f64 (.f64 -1 b_2) (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))))
(+.f64 (.f64 -1 b_2) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)))))
(+.f64 (.f64 -1 b_2) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (+.f64 (.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))))))
(*.f64 -2 b_2)
(+.f64 (.f64 -2 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(+.f64 (.f64 -2 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 c a) b_2))))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -2 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 c 4) (pow.f64 a 4))) (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2)) (pow.f64 b_2 7))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (*.f64 c a) b_2)))))
(*.f64 -2 b_2)
(+.f64 (.f64 -2 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(+.f64 (.f64 -2 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 c a) b_2))))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -2 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))))
(*.f64 -2 b_2)
(+.f64 (.f64 -2 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(+.f64 (.f64 -2 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 c a) b_2))))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -2 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))))
(.f64 (sqrt.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (sqrt.f64 -1))
(+.f64 (.f64 (sqrt.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (sqrt.f64 -1)) (.f64 -3/2 (.f64 (sqrt.f64 (.f64 c a)) (.f64 (sqrt.f64 -1) (pow.f64 b_2 2)))))
(+.f64 (.f64 (sqrt.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (sqrt.f64 -1)) (+.f64 (.f64 3/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (sqrt.f64 -1) (pow.f64 b_2 4)))) (.f64 -3/2 (.f64 (sqrt.f64 (.f64 c a)) (.f64 (sqrt.f64 -1) (pow.f64 b_2 2))))))
(+.f64 (.f64 (sqrt.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (sqrt.f64 -1)) (+.f64 (.f64 3/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (sqrt.f64 -1) (pow.f64 b_2 4)))) (+.f64 (.f64 -3/2 (.f64 (sqrt.f64 (.f64 c a)) (.f64 (sqrt.f64 -1) (pow.f64 b_2 2)))) (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (.f64 (sqrt.f64 -1) (pow.f64 b_2 6)))))))
(pow.f64 b_2 3)
(+.f64 (pow.f64 b_2 3) (.f64 -3/2 (.f64 c (*.f64 a b_2))))
(+.f64 (.f64 -3/4 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) b_2)) (+.f64 (pow.f64 b_2 3) (+.f64 (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) b_2)) (.f64 -3/2 (.f64 c (*.f64 a b_2))))))
(+.f64 (.f64 -3/4 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) b_2)) (+.f64 (pow.f64 b_2 3) (+.f64 (.f64 9/8 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 3))) (+.f64 (.f64 -9/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 3))) (+.f64 (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) b_2)) (+.f64 (.f64 -3/2 (.f64 c (.f64 a b_2))) (.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 3)))))))))
(*.f64 -1 (pow.f64 b_2 3))
(+.f64 (.f64 -1 (pow.f64 b_2 3)) (.f64 3/2 (.f64 c (.f64 a b_2))))
(+.f64 (.f64 -1 (pow.f64 b_2 3)) (+.f64 (.f64 3/2 (.f64 c (.f64 a b_2))) (.f64 -1 (/.f64 (+.f64 (.f64 9/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 -3/4 (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) b_2))))
(+.f64 (.f64 -1 (pow.f64 b_2 3)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -9/16 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (.f64 9/8 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (.f64 -1/2 (.f64 (pow.f64 c 3) (pow.f64 a 3))))) (pow.f64 b_2 3))) (+.f64 (.f64 3/2 (.f64 c (.f64 a b_2))) (.f64 -1 (/.f64 (+.f64 (.f64 9/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 -3/4 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) b_2)))))
(pow.f64 b_2 3)
(+.f64 (pow.f64 b_2 3) (.f64 -3/2 (.f64 c (*.f64 a b_2))))
(+.f64 (.f64 (pow.f64 a 2) (.f64 (pow.f64 b_2 3) (+.f64 (.f64 -3/4 (/.f64 (pow.f64 c 2) (pow.f64 b_2 4))) (.f64 9/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 4)))))) (+.f64 (pow.f64 b_2 3) (.f64 -3/2 (.f64 c (*.f64 a b_2)))))
(+.f64 (.f64 (pow.f64 a 2) (.f64 (pow.f64 b_2 3) (+.f64 (.f64 -3/4 (/.f64 (pow.f64 c 2) (pow.f64 b_2 4))) (.f64 9/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 4)))))) (+.f64 (pow.f64 b_2 3) (+.f64 (.f64 (pow.f64 a 3) (.f64 (pow.f64 b_2 3) (+.f64 (.f64 9/8 (/.f64 (pow.f64 c 3) (pow.f64 b_2 6))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 c 3) (pow.f64 b_2 6))) (.f64 -9/16 (/.f64 (pow.f64 c 3) (pow.f64 b_2 6))))))) (.f64 -3/2 (.f64 c (.f64 a b_2))))))
(exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c)))))
(+.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) (.f64 -3/2 (/.f64 (.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) (pow.f64 b_2 2)) (*.f64 c a))))
(+.f64 (/.f64 (.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) (+.f64 (.f64 -3/4 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2))) (.f64 9/8 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2))))) (pow.f64 a 2)) (+.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) (.f64 -3/2 (/.f64 (.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) (pow.f64 b_2 2)) (.f64 c a)))))
(+.f64 (/.f64 (.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) (+.f64 (.f64 -3/4 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2))) (.f64 9/8 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2))))) (pow.f64 a 2)) (+.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) (+.f64 (.f64 -3/2 (/.f64 (.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) (pow.f64 b_2 2)) (.f64 c a))) (/.f64 (.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 b_2 6) (pow.f64 c 3))) (+.f64 (.f64 9/8 (/.f64 (pow.f64 b_2 6) (pow.f64 c 3))) (.f64 -9/16 (/.f64 (pow.f64 b_2 6) (pow.f64 c 3)))))) (pow.f64 a 3)))))
(exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (*.f64 -1 (log.f64 (/.f64 -1 a))))))
(+.f64 (.f64 -3/2 (/.f64 (.f64 (pow.f64 b_2 2) (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (.f64 -1 (log.f64 (/.f64 -1 a))))))) (.f64 c a))) (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (*.f64 -1 (log.f64 (/.f64 -1 a)))))))
(+.f64 (/.f64 (.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (.f64 -1 (log.f64 (/.f64 -1 a)))))) (+.f64 (.f64 -3/4 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2))) (.f64 9/8 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2))))) (pow.f64 a 2)) (+.f64 (.f64 -3/2 (/.f64 (.f64 (pow.f64 b_2 2) (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (.f64 -1 (log.f64 (/.f64 -1 a))))))) (.f64 c a))) (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (*.f64 -1 (log.f64 (/.f64 -1 a))))))))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 9/16 (/.f64 (pow.f64 b_2 6) (pow.f64 c 3))) (+.f64 (.f64 -9/8 (/.f64 (pow.f64 b_2 6) (pow.f64 c 3))) (.f64 1/2 (/.f64 (pow.f64 b_2 6) (pow.f64 c 3))))) (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (.f64 -1 (log.f64 (/.f64 -1 a))))))) (pow.f64 a 3))) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (.f64 -1 (log.f64 (/.f64 -1 a)))))) (+.f64 (.f64 -3/4 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2))) (.f64 9/8 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2))))) (pow.f64 a 2)) (+.f64 (.f64 -3/2 (/.f64 (.f64 (pow.f64 b_2 2) (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (.f64 -1 (log.f64 (/.f64 -1 a))))))) (.f64 c a))) (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (*.f64 -1 (log.f64 (/.f64 -1 a)))))))))
(pow.f64 b_2 3)
(+.f64 (pow.f64 b_2 3) (.f64 -3/2 (.f64 c (*.f64 a b_2))))
(+.f64 (pow.f64 b_2 3) (+.f64 (.f64 -3/2 (.f64 c (.f64 a b_2))) (.f64 (pow.f64 c 2) (.f64 (pow.f64 b_2 3) (+.f64 (.f64 9/8 (/.f64 (pow.f64 a 2) (pow.f64 b_2 4))) (*.f64 -3/4 (/.f64 (pow.f64 a 2) (pow.f64 b_2 4))))))))
(+.f64 (pow.f64 b_2 3) (+.f64 (.f64 (+.f64 (.f64 -9/16 (/.f64 (pow.f64 a 3) (pow.f64 b_2 6))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 a 3) (pow.f64 b_2 6))) (.f64 9/8 (/.f64 (pow.f64 a 3) (pow.f64 b_2 6))))) (.f64 (pow.f64 c 3) (pow.f64 b_2 3))) (+.f64 (.f64 -3/2 (.f64 c (.f64 a b_2))) (.f64 (pow.f64 c 2) (.f64 (pow.f64 b_2 3) (+.f64 (.f64 9/8 (/.f64 (pow.f64 a 2) (pow.f64 b_2 4))) (.f64 -3/4 (/.f64 (pow.f64 a 2) (pow.f64 b_2 4)))))))))
(exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c))))))
(+.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) (.f64 -3/2 (/.f64 (.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) (pow.f64 b_2 2)) (*.f64 c a))))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 9/8 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))) (.f64 -3/4 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2)))) (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c))))))) (pow.f64 c 2)) (+.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) (.f64 -3/2 (/.f64 (.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) (pow.f64 b_2 2)) (.f64 c a)))))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 9/8 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))) (.f64 -3/4 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2)))) (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c))))))) (pow.f64 c 2)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 9/8 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3))) (.f64 -9/16 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3))))) (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c))))))) (pow.f64 c 3)) (+.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) (.f64 -3/2 (/.f64 (.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) (pow.f64 b_2 2)) (.f64 c a))))))
(exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c))))))
(+.f64 (.f64 -3/2 (/.f64 (.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) (pow.f64 b_2 2)) (.f64 c a))) (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c)))))))
(+.f64 (.f64 -3/2 (/.f64 (.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) (pow.f64 b_2 2)) (.f64 c a))) (+.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) (/.f64 (.f64 (+.f64 (.f64 9/8 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))) (.f64 -3/4 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2)))) (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c))))))) (pow.f64 c 2))))
(+.f64 (.f64 -3/2 (/.f64 (.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) (pow.f64 b_2 2)) (.f64 c a))) (+.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 -9/8 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3))) (.f64 9/16 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3))))) (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c))))))) (pow.f64 c 3))) (/.f64 (.f64 (+.f64 (.f64 9/8 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))) (.f64 -3/4 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2)))) (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c))))))) (pow.f64 c 2)))))

Outputs
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1)))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2)))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (*.f64 (/.f64 b_2 (sqrt.f64 -1)) b_2))))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1))))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1))))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2))) (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (*.f64 -1 (sqrt.f64 -1)))))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b_2 (sqrt.f64 -1)) b_2)) (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (neg.f64 (sqrt.f64 -1)))))))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 -1) 5)))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 -1) 5))) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1)))))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 -1) 5))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2))) (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (*.f64 -1 (sqrt.f64 -1))))))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 -1) 5))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b_2 (sqrt.f64 -1)) b_2)) (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (neg.f64 (sqrt.f64 -1))))))))
b_2
(+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 b_2 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))))
(fma.f64 -1/2 (*.f64 (/.f64 c b_2) a) b_2)
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(fma.f64 -1/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3)) (+.f64 b_2 (.f64 -1/2 (/.f64 c (/.f64 b_2 a)))))
(fma.f64 -1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a a)) (fma.f64 -1/2 (.f64 (/.f64 c b_2) a) b_2))
(fma.f64 -1/8 (.f64 (/.f64 (.f64 a a) (pow.f64 b_2 3)) (.f64 c c)) (fma.f64 -1/2 (.f64 (/.f64 c b_2) a) b_2))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))))
(fma.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5)) (fma.f64 -1/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3)) (+.f64 b_2 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))))))
(fma.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5)) (fma.f64 -1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a a)) (fma.f64 -1/2 (*.f64 (/.f64 c b_2) a) b_2)))
(fma.f64 -1/16 (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b_2 5)) (pow.f64 c 3)) (fma.f64 -1/8 (.f64 (/.f64 (.f64 a a) (pow.f64 b_2 3)) (.f64 c c)) (fma.f64 -1/2 (*.f64 (/.f64 c b_2) a) b_2)))
(*.f64 -1 b_2)
(neg.f64 b_2)
(+.f64 (.f64 -1 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(fma.f64 -1 b_2 (*.f64 1/2 (/.f64 c (/.f64 b_2 a))))
(-.f64 (.f64 1/2 (.f64 (/.f64 c b_2) a)) b_2)
(+.f64 (.f64 -1 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 c a) b_2))))
(fma.f64 -1 b_2 (fma.f64 1/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3)) (.f64 1/2 (/.f64 c (/.f64 b_2 a)))))
(-.f64 (fma.f64 1/2 (.f64 (/.f64 c b_2) a) (/.f64 (.f64 (.f64 c (.f64 c (*.f64 a a))) 1/8) (pow.f64 b_2 3))) b_2)
(-.f64 (fma.f64 1/2 (.f64 (/.f64 c b_2) a) (.f64 (/.f64 (.f64 1/8 (.f64 c c)) (pow.f64 b_2 3)) (*.f64 a a))) b_2)
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))))
(fma.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5)) (fma.f64 -1 b_2 (fma.f64 1/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3)) (*.f64 1/2 (/.f64 c (/.f64 b_2 a))))))
(fma.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5)) (-.f64 (fma.f64 1/2 (.f64 (/.f64 c b_2) a) (/.f64 (.f64 (.f64 c (.f64 c (.f64 a a))) 1/8) (pow.f64 b_2 3))) b_2))
(fma.f64 1/16 (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b_2 5)) (pow.f64 c 3)) (-.f64 (fma.f64 1/2 (.f64 (/.f64 c b_2) a) (.f64 (/.f64 (.f64 1/8 (.f64 c c)) (pow.f64 b_2 3)) (.f64 a a))) b_2))
b_2
(+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 b_2 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))))
(fma.f64 -1/2 (*.f64 (/.f64 c b_2) a) b_2)
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(fma.f64 -1/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3)) (+.f64 b_2 (.f64 -1/2 (/.f64 c (/.f64 b_2 a)))))
(fma.f64 -1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a a)) (fma.f64 -1/2 (.f64 (/.f64 c b_2) a) b_2))
(fma.f64 -1/8 (.f64 (/.f64 (.f64 a a) (pow.f64 b_2 3)) (.f64 c c)) (fma.f64 -1/2 (.f64 (/.f64 c b_2) a) b_2))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))))
(fma.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5)) (fma.f64 -1/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3)) (+.f64 b_2 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))))))
(fma.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5)) (fma.f64 -1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a a)) (fma.f64 -1/2 (*.f64 (/.f64 c b_2) a) b_2)))
(fma.f64 -1/16 (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b_2 5)) (pow.f64 c 3)) (fma.f64 -1/8 (.f64 (/.f64 (.f64 a a) (pow.f64 b_2 3)) (.f64 c c)) (fma.f64 -1/2 (*.f64 (/.f64 c b_2) a) b_2)))
b_2
(+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 b_2 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))))
(fma.f64 -1/2 (*.f64 (/.f64 c b_2) a) b_2)
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(fma.f64 -1/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3)) (+.f64 b_2 (.f64 -1/2 (/.f64 c (/.f64 b_2 a)))))
(fma.f64 -1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a a)) (fma.f64 -1/2 (.f64 (/.f64 c b_2) a) b_2))
(fma.f64 -1/8 (.f64 (/.f64 (.f64 a a) (pow.f64 b_2 3)) (.f64 c c)) (fma.f64 -1/2 (.f64 (/.f64 c b_2) a) b_2))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))))
(fma.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5)) (fma.f64 -1/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3)) (+.f64 b_2 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))))))
(fma.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5)) (fma.f64 -1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a a)) (fma.f64 -1/2 (*.f64 (/.f64 c b_2) a) b_2)))
(fma.f64 -1/16 (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b_2 5)) (pow.f64 c 3)) (fma.f64 -1/8 (.f64 (/.f64 (.f64 a a) (pow.f64 b_2 3)) (.f64 c c)) (fma.f64 -1/2 (*.f64 (/.f64 c b_2) a) b_2)))
(.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)))
(neg.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)))
(.f64 (sqrt.f64 (.f64 c a)) (neg.f64 (sqrt.f64 -1)))
(+.f64 (.f64 -1 b_2) (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))))
(.f64 -1 (+.f64 b_2 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1))))
(-.f64 (.f64 (sqrt.f64 (.f64 c a)) (neg.f64 (sqrt.f64 -1))) b_2)
(+.f64 (.f64 -1 b_2) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)))))
(fma.f64 -1 b_2 (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 b_2 b_2) (sqrt.f64 -1))) (neg.f64 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)))))
(-.f64 (-.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2)) -1/2)) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1))) b_2)
(-.f64 (fma.f64 (.f64 (/.f64 b_2 (sqrt.f64 -1)) b_2) (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) -1/2) (.f64 (sqrt.f64 (*.f64 c a)) (neg.f64 (sqrt.f64 -1)))) b_2)
(+.f64 (.f64 -1 b_2) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (+.f64 (.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))))))
(fma.f64 -1 b_2 (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 b_2 b_2) (sqrt.f64 -1))) (fma.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3))) (neg.f64 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1))))))
(-.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2))) -1/2 (-.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (.f64 (/.f64 (pow.f64 b_2 4) (.f64 -1 (sqrt.f64 -1))) 1/8)) (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)))) b_2)
(-.f64 (-.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b_2 (sqrt.f64 -1)) b_2)) -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (.f64 (/.f64 (pow.f64 b_2 4) (neg.f64 (sqrt.f64 -1))) 1/8))) (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))) b_2)
(*.f64 -2 b_2)
(*.f64 b_2 -2)
(+.f64 (.f64 -2 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(fma.f64 -2 b_2 (*.f64 1/2 (/.f64 c (/.f64 b_2 a))))
(fma.f64 1/2 (.f64 (/.f64 c b_2) a) (.f64 b_2 -2))
(+.f64 (.f64 -2 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 c a) b_2))))
(fma.f64 -2 b_2 (fma.f64 1/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3)) (.f64 1/2 (/.f64 c (/.f64 b_2 a)))))
(fma.f64 b_2 -2 (fma.f64 1/2 (.f64 (/.f64 c b_2) a) (/.f64 (.f64 (.f64 c (.f64 c (*.f64 a a))) 1/8) (pow.f64 b_2 3))))
(fma.f64 b_2 -2 (fma.f64 1/2 (.f64 (/.f64 c b_2) a) (.f64 (/.f64 (.f64 1/8 (.f64 c c)) (pow.f64 b_2 3)) (*.f64 a a))))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -2 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))))
(fma.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5)) (fma.f64 -2 b_2 (fma.f64 1/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3)) (*.f64 1/2 (/.f64 c (/.f64 b_2 a))))))
(fma.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5)) (fma.f64 b_2 -2 (fma.f64 1/2 (.f64 (/.f64 c b_2) a) (/.f64 (.f64 (.f64 c (.f64 c (.f64 a a))) 1/8) (pow.f64 b_2 3)))))
(fma.f64 1/16 (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b_2 5)) (pow.f64 c 3)) (fma.f64 b_2 -2 (fma.f64 1/2 (.f64 (/.f64 c b_2) a) (.f64 (/.f64 (.f64 1/8 (.f64 c c)) (pow.f64 b_2 3)) (.f64 a a)))))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(.f64 -1/2 (.f64 (/.f64 c b_2) a))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(fma.f64 -1/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3)) (.f64 -1/2 (/.f64 c (/.f64 b_2 a))))
(fma.f64 -1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a a)) (.f64 -1/2 (*.f64 (/.f64 c b_2) a)))
(fma.f64 -1/8 (.f64 (/.f64 (.f64 a a) (pow.f64 b_2 3)) (.f64 c c)) (.f64 -1/2 (*.f64 (/.f64 c b_2) a)))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(fma.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5)) (fma.f64 -1/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3)) (*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))))
(fma.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5)) (fma.f64 -1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a a)) (.f64 -1/2 (.f64 (/.f64 c b_2) a))))
(fma.f64 -1/16 (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b_2 5)) (pow.f64 c 3)) (fma.f64 -1/8 (.f64 (/.f64 (.f64 a a) (pow.f64 b_2 3)) (.f64 c c)) (.f64 -1/2 (.f64 (/.f64 c b_2) a))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 c 4) (pow.f64 a 4))) (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2)) (pow.f64 b_2 7))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (*.f64 c a) b_2)))))
(fma.f64 -1/2 (/.f64 (fma.f64 1/16 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 (.f64 -1/8 (.f64 (.f64 c c) (.f64 a a))) 2)) (pow.f64 b_2 7)) (fma.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5)) (fma.f64 -1/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3)) (.f64 -1/2 (/.f64 c (/.f64 b_2 a))))))
(fma.f64 -1/2 (/.f64 (fma.f64 1/16 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 1/64)) (pow.f64 b_2 7)) (fma.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5)) (fma.f64 -1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a a)) (.f64 -1/2 (*.f64 (/.f64 c b_2) a)))))
(fma.f64 -1/2 (/.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 5/64) (pow.f64 b_2 7)) (fma.f64 -1/16 (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b_2 5)) (pow.f64 c 3)) (fma.f64 -1/8 (.f64 (/.f64 (.f64 a a) (pow.f64 b_2 3)) (.f64 c c)) (.f64 -1/2 (.f64 (/.f64 c b_2) a)))))
(*.f64 -2 b_2)
(*.f64 b_2 -2)
(+.f64 (.f64 -2 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(fma.f64 -2 b_2 (*.f64 1/2 (/.f64 c (/.f64 b_2 a))))
(fma.f64 1/2 (.f64 (/.f64 c b_2) a) (.f64 b_2 -2))
(+.f64 (.f64 -2 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 c a) b_2))))
(fma.f64 -2 b_2 (fma.f64 1/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3)) (.f64 1/2 (/.f64 c (/.f64 b_2 a)))))
(fma.f64 b_2 -2 (fma.f64 1/2 (.f64 (/.f64 c b_2) a) (/.f64 (.f64 (.f64 c (.f64 c (*.f64 a a))) 1/8) (pow.f64 b_2 3))))
(fma.f64 b_2 -2 (fma.f64 1/2 (.f64 (/.f64 c b_2) a) (.f64 (/.f64 (.f64 1/8 (.f64 c c)) (pow.f64 b_2 3)) (*.f64 a a))))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -2 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))))
(fma.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5)) (fma.f64 -2 b_2 (fma.f64 1/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3)) (*.f64 1/2 (/.f64 c (/.f64 b_2 a))))))
(fma.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5)) (fma.f64 b_2 -2 (fma.f64 1/2 (.f64 (/.f64 c b_2) a) (/.f64 (.f64 (.f64 c (.f64 c (.f64 a a))) 1/8) (pow.f64 b_2 3)))))
(fma.f64 1/16 (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b_2 5)) (pow.f64 c 3)) (fma.f64 b_2 -2 (fma.f64 1/2 (.f64 (/.f64 c b_2) a) (.f64 (/.f64 (.f64 1/8 (.f64 c c)) (pow.f64 b_2 3)) (.f64 a a)))))
(*.f64 -2 b_2)
(*.f64 b_2 -2)
(+.f64 (.f64 -2 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(fma.f64 -2 b_2 (*.f64 1/2 (/.f64 c (/.f64 b_2 a))))
(fma.f64 1/2 (.f64 (/.f64 c b_2) a) (.f64 b_2 -2))
(+.f64 (.f64 -2 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 c a) b_2))))
(fma.f64 -2 b_2 (fma.f64 1/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3)) (.f64 1/2 (/.f64 c (/.f64 b_2 a)))))
(fma.f64 b_2 -2 (fma.f64 1/2 (.f64 (/.f64 c b_2) a) (/.f64 (.f64 (.f64 c (.f64 c (*.f64 a a))) 1/8) (pow.f64 b_2 3))))
(fma.f64 b_2 -2 (fma.f64 1/2 (.f64 (/.f64 c b_2) a) (.f64 (/.f64 (.f64 1/8 (.f64 c c)) (pow.f64 b_2 3)) (*.f64 a a))))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -2 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))))
(fma.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5)) (fma.f64 -2 b_2 (fma.f64 1/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3)) (*.f64 1/2 (/.f64 c (/.f64 b_2 a))))))
(fma.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5)) (fma.f64 b_2 -2 (fma.f64 1/2 (.f64 (/.f64 c b_2) a) (/.f64 (.f64 (.f64 c (.f64 c (.f64 a a))) 1/8) (pow.f64 b_2 3)))))
(fma.f64 1/16 (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b_2 5)) (pow.f64 c 3)) (fma.f64 b_2 -2 (fma.f64 1/2 (.f64 (/.f64 c b_2) a) (.f64 (/.f64 (.f64 1/8 (.f64 c c)) (pow.f64 b_2 3)) (.f64 a a)))))
(.f64 (sqrt.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (sqrt.f64 -1))
(.f64 (sqrt.f64 -1) (sqrt.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3))))
(+.f64 (.f64 (sqrt.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (sqrt.f64 -1)) (.f64 -3/2 (.f64 (sqrt.f64 (.f64 c a)) (.f64 (sqrt.f64 -1) (pow.f64 b_2 2)))))
(fma.f64 (sqrt.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (sqrt.f64 -1) (.f64 (.f64 -3/2 (sqrt.f64 (.f64 c a))) (.f64 (sqrt.f64 -1) (.f64 b_2 b_2))))
(fma.f64 (sqrt.f64 -1) (sqrt.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (.f64 (sqrt.f64 (.f64 c a)) (.f64 (.f64 (sqrt.f64 -1) (.f64 b_2 b_2)) -3/2)))
(.f64 (sqrt.f64 -1) (+.f64 (sqrt.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (.f64 (.f64 (sqrt.f64 (.f64 c a)) -3/2) (.f64 b_2 b_2))))
(+.f64 (.f64 (sqrt.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (sqrt.f64 -1)) (+.f64 (.f64 3/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (sqrt.f64 -1) (pow.f64 b_2 4)))) (.f64 -3/2 (.f64 (sqrt.f64 (.f64 c a)) (.f64 (sqrt.f64 -1) (pow.f64 b_2 2))))))
(fma.f64 (sqrt.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (sqrt.f64 -1) (fma.f64 3/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (sqrt.f64 -1) (pow.f64 b_2 4))) (.f64 (.f64 -3/2 (sqrt.f64 (.f64 c a))) (.f64 (sqrt.f64 -1) (*.f64 b_2 b_2)))))
(fma.f64 (sqrt.f64 -1) (sqrt.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (fma.f64 -3/2 (.f64 (sqrt.f64 (.f64 c a)) (.f64 (sqrt.f64 -1) (.f64 b_2 b_2))) (.f64 3/8 (.f64 (sqrt.f64 -1) (.f64 (pow.f64 b_2 4) (sqrt.f64 (/.f64 1 (*.f64 c a))))))))
(fma.f64 (sqrt.f64 -1) (sqrt.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (.f64 (sqrt.f64 -1) (+.f64 (.f64 (.f64 (sqrt.f64 (.f64 c a)) -3/2) (.f64 b_2 b_2)) (.f64 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) 3/8) (pow.f64 b_2 4)))))
(+.f64 (.f64 (sqrt.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (sqrt.f64 -1)) (+.f64 (.f64 3/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (sqrt.f64 -1) (pow.f64 b_2 4)))) (+.f64 (.f64 -3/2 (.f64 (sqrt.f64 (.f64 c a)) (.f64 (sqrt.f64 -1) (pow.f64 b_2 2)))) (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (.f64 (sqrt.f64 -1) (pow.f64 b_2 6)))))))
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(+.f64 (fma.f64 -3/2 (.f64 (/.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 (.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) c) (/.f64 (.f64 b_2 b_2) a)) (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 (.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c)))))) (fma.f64 -1 (/.f64 (fma.f64 -9/8 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3)) (.f64 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3)) 17/16)) (/.f64 (pow.f64 c 3) (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 (.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))))) (/.f64 (.f64 (.f64 (/.f64 (pow.f64 b_2 4) (.f64 a a)) 3/8) (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 (.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c)))))) (*.f64 c c))))
(+.f64 (fma.f64 -3/2 (.f64 (/.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) c) (/.f64 b_2 (/.f64 a b_2))) (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c))))) (-.f64 (.f64 (/.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) c) (/.f64 (.f64 3/8 (/.f64 (pow.f64 b_2 4) (.f64 a a))) c)) (.f64 (/.f64 (.f64 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3)) -1/16) (pow.f64 c 3)) (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))))))
(+.f64 (fma.f64 (pow.f64 a 3/2) (pow.f64 (/.f64 -1 c) -3/2) (.f64 (/.f64 (.f64 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3)) 1/16) (pow.f64 c 3)) (.f64 (pow.f64 a 3/2) (pow.f64 (/.f64 -1 c) -3/2)))) (.f64 (/.f64 (.f64 (pow.f64 a 3/2) (pow.f64 (/.f64 -1 c) -3/2)) c) (+.f64 (/.f64 (.f64 (pow.f64 b_2 4) 3/8) (.f64 c (.f64 a a))) (.f64 (.f64 (/.f64 b_2 a) b_2) -3/2))))

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.6b	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	11.3b	(-.f64 (neg.f64 b_2) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 3)))
✓	25.1b	(sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 3))
✓	25.9b	(cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

Compiler

Compiled 81 to 23 computations (71.6% saved)

series14.0ms (0.1%)

Counts

3 → 52

Calls

27 calls:

Time	Variable		Point	Expression
2.0ms	b_2	@	0	(cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
1.0ms	a	@	0	(cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
1.0ms	c	@	0	(cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
1.0ms	b_2	@	inf	(cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
0.0ms	c	@	inf	(cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

rewrite146.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

754×	`fma-def_binary64`
596×	`log-prod_binary64`
340×	`fma-neg_binary64`
319×	`pow2_binary64`
218×	`expm1-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	41
1	301	39
2	3900	37

Stop Event

1×	node limit

Counts

3 → 174

Calls

Call 1

Inputs

(cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))

(sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 3))

(-.f64 (neg.f64 b_2) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 3)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) 2) (cbrt.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/6) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 (pow.f64 b_2 6) (pow.f64 (*.f64 a c) 3))) (cbrt.f64 (fma.f64 (*.f64 a c) (fma.f64 b_2 b_2 (*.f64 a c)) (pow.f64 b_2 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 (pow.f64 b_2 4) (pow.f64 (*.f64 a c) 2))) (cbrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 1/3))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/6) (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 3/2) (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) 2) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/6) 3/2) (pow.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/6) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 6) (pow.f64 (*.f64 a c) 3))) (sqrt.f64 (fma.f64 (*.f64 a c) (fma.f64 b_2 b_2 (*.f64 a c)) (pow.f64 b_2 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 4) (pow.f64 (*.f64 a c) 2))) (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/6) 3/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) (sqrt.f64 (fma.f64 a (neg.f64 c) (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (fma.f64 a (neg.f64 c) (*.f64 a c))) (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) 1))))))

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

simplify78.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

830×	`fma-def_binary64`
607×	`unswap-sqr_binary64`
577×	`times-frac_binary64`
449×	`*-commutative_binary64`
426×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	179	1959
1	555	1911
2	1962	1862
3	6775	1862

Stop Event

1×	node limit

Counts

226 → 238

Calls

Call 1

Inputs
(.f64 (pow.f64 (.f64 c (*.f64 1 a)) 1/3) (cbrt.f64 -1))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 1/3) (/.f64 (pow.f64 b_2 2) (pow.f64 (cbrt.f64 -1) 2)))) (.f64 (pow.f64 (.f64 c (.f64 1 a)) 1/3) (cbrt.f64 -1)))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 1/3) (/.f64 (pow.f64 b_2 2) (pow.f64 (cbrt.f64 -1) 2)))) (+.f64 (.f64 (pow.f64 (.f64 c (.f64 1 a)) 1/3) (cbrt.f64 -1)) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5))) 1/3) (/.f64 (pow.f64 b_2 4) (pow.f64 (cbrt.f64 -1) 5))))))
(+.f64 (.f64 5/81 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 c 8) (pow.f64 a 8))) 1/3) (/.f64 (pow.f64 b_2 6) (pow.f64 (cbrt.f64 -1) 8)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 1/3) (/.f64 (pow.f64 b_2 2) (pow.f64 (cbrt.f64 -1) 2)))) (+.f64 (.f64 (pow.f64 (.f64 c (.f64 1 a)) 1/3) (cbrt.f64 -1)) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5))) 1/3) (/.f64 (pow.f64 b_2 4) (pow.f64 (cbrt.f64 -1) 5)))))))
(pow.f64 (pow.f64 b_2 2) 1/3)
(+.f64 (.f64 -1/3 (.f64 (*.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/9))) (pow.f64 (pow.f64 b_2 2) 1/3))
(+.f64 (.f64 -1/3 (.f64 (.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/9))) (+.f64 (.f64 -1/9 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 (/.f64 1 (pow.f64 b_2 14)) 1/9))) (pow.f64 (pow.f64 b_2 2) 1/3)))
(+.f64 (.f64 -1/3 (.f64 (.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/9))) (+.f64 (.f64 -1/9 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 (/.f64 1 (pow.f64 b_2 14)) 1/9))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/3) (.f64 (pow.f64 a 3) (+.f64 (.f64 2/9 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/3)))) (.f64 -1/27 (.f64 (pow.f64 c 3) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/3))))))) (pow.f64 (pow.f64 b_2 2) 1/3))))
(pow.f64 (pow.f64 b_2 2) 1/3)
(+.f64 (.f64 -1/3 (.f64 (*.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/9))) (pow.f64 (pow.f64 b_2 2) 1/3))
(+.f64 (.f64 -1/3 (.f64 (.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/9))) (+.f64 (.f64 -1/9 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 (/.f64 1 (pow.f64 b_2 14)) 1/9))) (pow.f64 (pow.f64 b_2 2) 1/3)))
(+.f64 (.f64 -1/3 (.f64 (.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/9))) (+.f64 (.f64 -1/3 (.f64 (.f64 (+.f64 (.f64 -1/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/3) (pow.f64 a 3))) (.f64 2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 a 3) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/3))))) (pow.f64 c 3)) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/3))) (+.f64 (.f64 -1/9 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 (/.f64 1 (pow.f64 b_2 14)) 1/9))) (pow.f64 (pow.f64 b_2 2) 1/3))))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1))))))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 -1) 5)))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))))
b_2
(+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))))
(*.f64 -1 b_2)
(+.f64 (.f64 -1 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(+.f64 (.f64 -1 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 c a) b_2))))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))))
b_2
(+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))))
b_2
(+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))))
(.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)))
(+.f64 (.f64 -1 b_2) (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))))
(+.f64 (.f64 -1 b_2) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)))))
(+.f64 (.f64 -1 b_2) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (+.f64 (.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))))))
(*.f64 -2 b_2)
(+.f64 (.f64 -2 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(+.f64 (.f64 -2 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 c a) b_2))))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -2 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 c 4) (pow.f64 a 4))) (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2)) (pow.f64 b_2 7))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (*.f64 c a) b_2)))))
(*.f64 -2 b_2)
(+.f64 (.f64 -2 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(+.f64 (.f64 -2 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 c a) b_2))))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -2 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))))
(*.f64 -2 b_2)
(+.f64 (.f64 -2 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(+.f64 (.f64 -2 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 c a) b_2))))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -2 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))))

Outputs
(.f64 (pow.f64 (.f64 c (*.f64 1 a)) 1/3) (cbrt.f64 -1))
(.f64 (cbrt.f64 (.f64 c a)) (cbrt.f64 -1))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 1/3) (/.f64 (pow.f64 b_2 2) (pow.f64 (cbrt.f64 -1) 2)))) (.f64 (pow.f64 (.f64 c (.f64 1 a)) 1/3) (cbrt.f64 -1)))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 (.f64 c c) (.f64 a a)))) (/.f64 (.f64 b_2 b_2) (pow.f64 (cbrt.f64 -1) 2))) (.f64 (cbrt.f64 (*.f64 c a)) (cbrt.f64 -1)))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (.f64 c c)) (.f64 a a))) (/.f64 b_2 (/.f64 (pow.f64 (cbrt.f64 -1) 2) b_2))) (.f64 (cbrt.f64 (*.f64 c a)) (cbrt.f64 -1)))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (.f64 c a)) (.f64 c a))) (.f64 (/.f64 b_2 (pow.f64 (cbrt.f64 -1) 2)) b_2)) (.f64 (cbrt.f64 (.f64 c a)) (cbrt.f64 -1)))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 1/3) (/.f64 (pow.f64 b_2 2) (pow.f64 (cbrt.f64 -1) 2)))) (+.f64 (.f64 (pow.f64 (.f64 c (.f64 1 a)) 1/3) (cbrt.f64 -1)) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5))) 1/3) (/.f64 (pow.f64 b_2 4) (pow.f64 (cbrt.f64 -1) 5))))))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 (.f64 c c) (.f64 a a)))) (/.f64 (.f64 b_2 b_2) (pow.f64 (cbrt.f64 -1) 2))) (fma.f64 (cbrt.f64 (.f64 c a)) (cbrt.f64 -1) (.f64 -1/9 (.f64 (cbrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (cbrt.f64 -1) 5))))))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (.f64 c c)) (.f64 a a))) (/.f64 b_2 (/.f64 (pow.f64 (cbrt.f64 -1) 2) b_2))) (fma.f64 -1/9 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 c 5)) (pow.f64 a 5))) (/.f64 (pow.f64 b_2 4) (pow.f64 (cbrt.f64 -1) 5))) (.f64 (cbrt.f64 (.f64 c a)) (cbrt.f64 -1))))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (.f64 c a)) (.f64 c a))) (.f64 (/.f64 b_2 (pow.f64 (cbrt.f64 -1) 2)) b_2)) (fma.f64 -1/9 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 c 5)) (pow.f64 a 5))) (/.f64 (pow.f64 b_2 4) (pow.f64 (cbrt.f64 -1) 5))) (.f64 (cbrt.f64 (*.f64 c a)) (cbrt.f64 -1))))
(+.f64 (.f64 5/81 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 c 8) (pow.f64 a 8))) 1/3) (/.f64 (pow.f64 b_2 6) (pow.f64 (cbrt.f64 -1) 8)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 1/3) (/.f64 (pow.f64 b_2 2) (pow.f64 (cbrt.f64 -1) 2)))) (+.f64 (.f64 (pow.f64 (.f64 c (.f64 1 a)) 1/3) (cbrt.f64 -1)) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5))) 1/3) (/.f64 (pow.f64 b_2 4) (pow.f64 (cbrt.f64 -1) 5)))))))
(fma.f64 5/81 (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 c 8) (pow.f64 a 8)))) (/.f64 (pow.f64 b_2 6) (pow.f64 (cbrt.f64 -1) 8))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 (.f64 c c) (.f64 a a)))) (/.f64 (.f64 b_2 b_2) (pow.f64 (cbrt.f64 -1) 2))) (fma.f64 (cbrt.f64 (.f64 c a)) (cbrt.f64 -1) (.f64 -1/9 (.f64 (cbrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (cbrt.f64 -1) 5)))))))
(fma.f64 5/81 (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 c 8) (pow.f64 a 8)))) (/.f64 (pow.f64 b_2 6) (pow.f64 (cbrt.f64 -1) 8))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (.f64 c c)) (.f64 a a))) (/.f64 b_2 (/.f64 (pow.f64 (cbrt.f64 -1) 2) b_2))) (fma.f64 -1/9 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 c 5)) (pow.f64 a 5))) (/.f64 (pow.f64 b_2 4) (pow.f64 (cbrt.f64 -1) 5))) (.f64 (cbrt.f64 (.f64 c a)) (cbrt.f64 -1)))))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (.f64 c a)) (.f64 c a))) (.f64 (/.f64 b_2 (pow.f64 (cbrt.f64 -1) 2)) b_2)) (fma.f64 5/81 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 c 8)) (pow.f64 a 8))) (/.f64 (pow.f64 b_2 6) (pow.f64 (cbrt.f64 -1) 8))) (fma.f64 -1/9 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 c 5)) (pow.f64 a 5))) (/.f64 (pow.f64 b_2 4) (pow.f64 (cbrt.f64 -1) 5))) (.f64 (cbrt.f64 (.f64 c a)) (cbrt.f64 -1)))))
(pow.f64 (pow.f64 b_2 2) 1/3)
(cbrt.f64 (*.f64 b_2 b_2))
(+.f64 (.f64 -1/3 (.f64 (*.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/9))) (pow.f64 (pow.f64 b_2 2) 1/3))
(fma.f64 -1/3 (.f64 (.f64 c a) (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/18))) (cbrt.f64 (.f64 b_2 b_2)))
(fma.f64 -1/3 (.f64 (.f64 (.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/18)) (cbrt.f64 (.f64 b_2 b_2)))
(fma.f64 -1/3 (.f64 c (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/18) (.f64 a (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/18)))) (cbrt.f64 (.f64 b_2 b_2)))
(+.f64 (.f64 -1/3 (.f64 (.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/9))) (+.f64 (.f64 -1/9 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 (/.f64 1 (pow.f64 b_2 14)) 1/9))) (pow.f64 (pow.f64 b_2 2) 1/3)))
(fma.f64 -1/3 (.f64 (.f64 c a) (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/18))) (fma.f64 -1/9 (.f64 (.f64 (.f64 c c) (.f64 a a)) (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 14)) 1/18))) (cbrt.f64 (*.f64 b_2 b_2))))
(fma.f64 -1/3 (.f64 (.f64 (.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/18)) (fma.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 14)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 14)) 1/18) (.f64 c (.f64 c (.f64 a a))))) (cbrt.f64 (*.f64 b_2 b_2))))
(fma.f64 c (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/18) (.f64 a (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/18)))) (fma.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 14)) 1/18) (.f64 (.f64 c c) (.f64 (.f64 a a) -1/9))) (pow.f64 (/.f64 1 (pow.f64 b_2 14)) 1/18) (cbrt.f64 (*.f64 b_2 b_2))))
(+.f64 (.f64 -1/3 (.f64 (.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/9))) (+.f64 (.f64 -1/9 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 (/.f64 1 (pow.f64 b_2 14)) 1/9))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/3) (.f64 (pow.f64 a 3) (+.f64 (.f64 2/9 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/3)))) (.f64 -1/27 (.f64 (pow.f64 c 3) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/3))))))) (pow.f64 (pow.f64 b_2 2) 1/3))))
(fma.f64 -1/3 (.f64 (.f64 c a) (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/18))) (fma.f64 -1/9 (.f64 (.f64 (.f64 c c) (.f64 a a)) (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 14)) 1/18))) (fma.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 b_2 4))) (.f64 (pow.f64 a 3) (fma.f64 2/9 (.f64 (pow.f64 c 3) (.f64 1 (cbrt.f64 (/.f64 1 (pow.f64 b_2 4))))) (.f64 -1/27 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 b_2 4))) (pow.f64 c 3)))))) (cbrt.f64 (*.f64 b_2 b_2)))))
(fma.f64 -1/3 (.f64 (.f64 (.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/18)) (fma.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 14)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 14)) 1/18) (.f64 c (.f64 c (.f64 a a))))) (fma.f64 -1/3 (.f64 (fma.f64 2/9 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 b_2 4))) (pow.f64 c 3)) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 b_2 4))) (.f64 (pow.f64 c 3) -1/27))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 b_2 4))) (pow.f64 a 3))) (cbrt.f64 (.f64 b_2 b_2)))))
(fma.f64 c (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/18) (.f64 a (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/18)))) (fma.f64 (.f64 (pow.f64 a 3) (.f64 -1/3 (cbrt.f64 (/.f64 1 (pow.f64 b_2 4))))) (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 b_2 4))) (pow.f64 c 3)) 5/27) (fma.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 14)) 1/18) (.f64 (.f64 c c) (.f64 (.f64 a a) -1/9))) (pow.f64 (/.f64 1 (pow.f64 b_2 14)) 1/18) (cbrt.f64 (*.f64 b_2 b_2)))))
(pow.f64 (pow.f64 b_2 2) 1/3)
(cbrt.f64 (*.f64 b_2 b_2))
(+.f64 (.f64 -1/3 (.f64 (*.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/9))) (pow.f64 (pow.f64 b_2 2) 1/3))
(fma.f64 -1/3 (.f64 (.f64 c a) (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/18))) (cbrt.f64 (.f64 b_2 b_2)))
(fma.f64 -1/3 (.f64 (.f64 (.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/18)) (cbrt.f64 (.f64 b_2 b_2)))
(fma.f64 -1/3 (.f64 c (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/18) (.f64 a (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/18)))) (cbrt.f64 (.f64 b_2 b_2)))
(+.f64 (.f64 -1/3 (.f64 (.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/9))) (+.f64 (.f64 -1/9 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 (/.f64 1 (pow.f64 b_2 14)) 1/9))) (pow.f64 (pow.f64 b_2 2) 1/3)))
(fma.f64 -1/3 (.f64 (.f64 c a) (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/18))) (fma.f64 -1/9 (.f64 (.f64 (.f64 c c) (.f64 a a)) (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 14)) 1/18))) (cbrt.f64 (*.f64 b_2 b_2))))
(fma.f64 -1/3 (.f64 (.f64 (.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/18)) (fma.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 14)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 14)) 1/18) (.f64 c (.f64 c (.f64 a a))))) (cbrt.f64 (*.f64 b_2 b_2))))
(fma.f64 c (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/18) (.f64 a (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/18)))) (fma.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 14)) 1/18) (.f64 (.f64 c c) (.f64 (.f64 a a) -1/9))) (pow.f64 (/.f64 1 (pow.f64 b_2 14)) 1/18) (cbrt.f64 (*.f64 b_2 b_2))))
(+.f64 (.f64 -1/3 (.f64 (.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/9))) (+.f64 (.f64 -1/3 (.f64 (.f64 (+.f64 (.f64 -1/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/3) (pow.f64 a 3))) (.f64 2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 a 3) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/3))))) (pow.f64 c 3)) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/3))) (+.f64 (.f64 -1/9 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 (/.f64 1 (pow.f64 b_2 14)) 1/9))) (pow.f64 (pow.f64 b_2 2) 1/3))))
(fma.f64 -1/3 (.f64 (.f64 c a) (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/18))) (fma.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 b_2 4))) (.f64 (pow.f64 c 3) (fma.f64 -1/27 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 b_2 4))) (pow.f64 a 3)) (.f64 2/9 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 b_2 4))) (pow.f64 a 3)))))) (fma.f64 -1/9 (.f64 (.f64 (.f64 c c) (.f64 a a)) (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 14)) 1/18))) (cbrt.f64 (.f64 b_2 b_2)))))
(fma.f64 -1/3 (.f64 (.f64 (.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/18)) (fma.f64 -1/3 (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 b_2 4))) (pow.f64 c 3)) (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 b_2 4))) (pow.f64 a 3)) 5/27)) (fma.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 14)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 14)) 1/18) (.f64 c (.f64 c (.f64 a a))))) (cbrt.f64 (*.f64 b_2 b_2)))))
(fma.f64 -1/3 (fma.f64 c (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/18) (.f64 a (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/18))) (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 b_2 4))) (pow.f64 c 3)) (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 b_2 4))) (pow.f64 a 3)) 5/27))) (fma.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 14)) 1/18) (.f64 (.f64 c c) (.f64 (.f64 a a) -1/9))) (pow.f64 (/.f64 1 (pow.f64 b_2 14)) 1/18) (cbrt.f64 (.f64 b_2 b_2))))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1)))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2))) (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b_2 (sqrt.f64 -1)) b_2)) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1))))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 a 3) (pow.f64 c 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1))))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2))) (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 a 3) (pow.f64 c 3)))) (.f64 (/.f64 (pow.f64 b_2 4) (*.f64 -1 (sqrt.f64 -1))) -1/8))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b_2 (sqrt.f64 -1)) b_2)) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (.f64 1/8 (/.f64 (pow.f64 b_2 4) (/.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 a 3) (pow.f64 c 3)))))))))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 -1) 5)))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 -1) 5))) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 a 3) (pow.f64 c 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1)))))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 5)) (pow.f64 a 5))) (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 -1) 5))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2))) (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 a 3) (pow.f64 c 3)))) (.f64 (/.f64 (pow.f64 b_2 4) (.f64 -1 (sqrt.f64 -1))) -1/8)))))
(fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 5)) (pow.f64 a 5))) (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 -1) 5))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b_2 (sqrt.f64 -1)) b_2)) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (.f64 1/8 (/.f64 (pow.f64 b_2 4) (/.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 a 3) (pow.f64 c 3))))))))))
b_2
(+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 b_2 (/.f64 (.f64 -1/2 (.f64 c a)) b_2))
(fma.f64 -1/2 (*.f64 (/.f64 c b_2) a) b_2)
(fma.f64 -1/2 (*.f64 a (/.f64 c b_2)) b_2)
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (+.f64 b_2 (/.f64 (.f64 -1/2 (.f64 c a)) b_2)))
(fma.f64 -1/8 (/.f64 c (/.f64 (/.f64 (pow.f64 b_2 3) (.f64 a a)) c)) (fma.f64 -1/2 (.f64 (/.f64 c b_2) a) b_2))
(fma.f64 -1/8 (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b_2 3))) (fma.f64 -1/2 (.f64 a (/.f64 c b_2)) b_2))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))))
(fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) (fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (+.f64 b_2 (/.f64 (.f64 -1/2 (.f64 c a)) b_2))))
(fma.f64 -1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) (fma.f64 -1/8 (/.f64 c (/.f64 (/.f64 (pow.f64 b_2 3) (.f64 a a)) c)) (fma.f64 -1/2 (*.f64 (/.f64 c b_2) a) b_2)))
(fma.f64 -1/16 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) (fma.f64 -1/8 (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b_2 3))) (fma.f64 -1/2 (*.f64 a (/.f64 c b_2)) b_2)))
(*.f64 -1 b_2)
(neg.f64 b_2)
(+.f64 (.f64 -1 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(fma.f64 -1 b_2 (/.f64 (.f64 1/2 (.f64 c a)) b_2))
(fma.f64 1/2 (*.f64 (/.f64 c b_2) a) (neg.f64 b_2))
(-.f64 (.f64 (/.f64 1/2 b_2) (.f64 c a)) b_2)
(fma.f64 (/.f64 (*.f64 c 1/2) b_2) a (neg.f64 b_2))
(+.f64 (.f64 -1 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 c a) b_2))))
(fma.f64 -1 b_2 (fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (/.f64 (.f64 1/2 (.f64 c a)) b_2)))
(-.f64 (fma.f64 1/2 (.f64 (/.f64 c b_2) a) (/.f64 1/8 (/.f64 (pow.f64 b_2 3) (.f64 c (.f64 c (.f64 a a)))))) b_2)
(fma.f64 1/2 (.f64 a (/.f64 c b_2)) (-.f64 (.f64 (/.f64 1/8 (pow.f64 b_2 3)) (.f64 a (.f64 a (*.f64 c c)))) b_2))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))))
(fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) (fma.f64 -1 b_2 (fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (/.f64 (.f64 1/2 (.f64 c a)) b_2))))
(fma.f64 1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) (-.f64 (fma.f64 1/2 (.f64 (/.f64 c b_2) a) (/.f64 1/8 (/.f64 (pow.f64 b_2 3) (.f64 c (.f64 c (*.f64 a a)))))) b_2))
(fma.f64 1/16 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) (fma.f64 1/2 (.f64 a (/.f64 c b_2)) (-.f64 (.f64 (/.f64 1/8 (pow.f64 b_2 3)) (.f64 a (.f64 a (.f64 c c)))) b_2)))
b_2
(+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 b_2 (/.f64 (.f64 -1/2 (.f64 c a)) b_2))
(fma.f64 -1/2 (*.f64 (/.f64 c b_2) a) b_2)
(fma.f64 -1/2 (*.f64 a (/.f64 c b_2)) b_2)
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (+.f64 b_2 (/.f64 (.f64 -1/2 (.f64 c a)) b_2)))
(fma.f64 -1/8 (/.f64 c (/.f64 (/.f64 (pow.f64 b_2 3) (.f64 a a)) c)) (fma.f64 -1/2 (.f64 (/.f64 c b_2) a) b_2))
(fma.f64 -1/8 (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b_2 3))) (fma.f64 -1/2 (.f64 a (/.f64 c b_2)) b_2))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))))
(fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) (fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (+.f64 b_2 (/.f64 (.f64 -1/2 (.f64 c a)) b_2))))
(fma.f64 -1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) (fma.f64 -1/8 (/.f64 c (/.f64 (/.f64 (pow.f64 b_2 3) (.f64 a a)) c)) (fma.f64 -1/2 (*.f64 (/.f64 c b_2) a) b_2)))
(fma.f64 -1/16 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) (fma.f64 -1/8 (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b_2 3))) (fma.f64 -1/2 (*.f64 a (/.f64 c b_2)) b_2)))
b_2
(+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 b_2 (/.f64 (.f64 -1/2 (.f64 c a)) b_2))
(fma.f64 -1/2 (*.f64 (/.f64 c b_2) a) b_2)
(fma.f64 -1/2 (*.f64 a (/.f64 c b_2)) b_2)
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (+.f64 b_2 (/.f64 (.f64 -1/2 (.f64 c a)) b_2)))
(fma.f64 -1/8 (/.f64 c (/.f64 (/.f64 (pow.f64 b_2 3) (.f64 a a)) c)) (fma.f64 -1/2 (.f64 (/.f64 c b_2) a) b_2))
(fma.f64 -1/8 (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b_2 3))) (fma.f64 -1/2 (.f64 a (/.f64 c b_2)) b_2))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))))
(fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) (fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (+.f64 b_2 (/.f64 (.f64 -1/2 (.f64 c a)) b_2))))
(fma.f64 -1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) (fma.f64 -1/8 (/.f64 c (/.f64 (/.f64 (pow.f64 b_2 3) (.f64 a a)) c)) (fma.f64 -1/2 (*.f64 (/.f64 c b_2) a) b_2)))
(fma.f64 -1/16 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) (fma.f64 -1/8 (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b_2 3))) (fma.f64 -1/2 (*.f64 a (/.f64 c b_2)) b_2)))
(.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)))
(neg.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)))
(.f64 (sqrt.f64 (.f64 c a)) (neg.f64 (sqrt.f64 -1)))
(+.f64 (.f64 -1 b_2) (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))))
(.f64 -1 (+.f64 b_2 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1))))
(-.f64 (neg.f64 b_2) (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)))
(neg.f64 (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) b_2))
(+.f64 (.f64 -1 b_2) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)))))
(fma.f64 -1 b_2 (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 b_2 b_2) (sqrt.f64 -1))) (neg.f64 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)))))
(-.f64 (-.f64 (.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2))) -1/2) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1))) b_2)
(-.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 b_2 -1/2) (/.f64 (sqrt.f64 -1) b_2))) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) b_2))
(+.f64 (.f64 -1 b_2) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (+.f64 (.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))))))
(fma.f64 -1 b_2 (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 b_2 b_2) (sqrt.f64 -1))) (fma.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 a 3) (pow.f64 c 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3))) (neg.f64 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1))))))
(-.f64 (-.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2))) -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 a 3) (pow.f64 c 3)))) (.f64 (/.f64 (pow.f64 b_2 4) (.f64 -1 (sqrt.f64 -1))) 1/8))) (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))) b_2)
(-.f64 (fma.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 b_2 -1/2) (/.f64 (sqrt.f64 -1) b_2)) (.f64 -1/8 (/.f64 (pow.f64 b_2 4) (/.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 a 3) (pow.f64 c 3)))))))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) b_2))
(*.f64 -2 b_2)
(*.f64 b_2 -2)
(+.f64 (.f64 -2 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(fma.f64 -2 b_2 (/.f64 (.f64 1/2 (.f64 c a)) b_2))
(fma.f64 b_2 -2 (.f64 1/2 (.f64 (/.f64 c b_2) a)))
(fma.f64 b_2 -2 (.f64 (/.f64 1/2 b_2) (.f64 c a)))
(+.f64 (.f64 -2 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 c a) b_2))))
(fma.f64 -2 b_2 (fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (/.f64 (.f64 1/2 (.f64 c a)) b_2)))
(fma.f64 b_2 -2 (fma.f64 1/2 (.f64 (/.f64 c b_2) a) (/.f64 1/8 (/.f64 (pow.f64 b_2 3) (.f64 c (.f64 c (.f64 a a)))))))
(fma.f64 (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b_2 3))) 1/8 (fma.f64 b_2 -2 (.f64 (/.f64 1/2 b_2) (*.f64 c a))))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -2 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))))
(fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) (fma.f64 -2 b_2 (fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (/.f64 (.f64 1/2 (.f64 c a)) b_2))))
(fma.f64 1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) (fma.f64 b_2 -2 (fma.f64 1/2 (.f64 (/.f64 c b_2) a) (/.f64 1/8 (/.f64 (pow.f64 b_2 3) (.f64 c (.f64 c (*.f64 a a))))))))
(fma.f64 1/16 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) (fma.f64 (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b_2 3))) 1/8 (fma.f64 b_2 -2 (.f64 (/.f64 1/2 b_2) (.f64 c a)))))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(/.f64 (.f64 -1/2 (.f64 c a)) b_2)
(/.f64 (.f64 (.f64 c a) -1/2) b_2)
(.f64 (/.f64 -1/2 b_2) (.f64 c a))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (/.f64 (.f64 -1/2 (.f64 c a)) b_2))
(fma.f64 -1/8 (/.f64 c (/.f64 (/.f64 (pow.f64 b_2 3) (.f64 a a)) c)) (/.f64 (.f64 (*.f64 c a) -1/2) b_2))
(fma.f64 -1/8 (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b_2 3))) (.f64 (/.f64 -1/2 b_2) (*.f64 c a)))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) (fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (/.f64 (.f64 -1/2 (.f64 c a)) b_2)))
(fma.f64 -1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) (fma.f64 -1/8 (/.f64 c (/.f64 (/.f64 (pow.f64 b_2 3) (.f64 a a)) c)) (/.f64 (.f64 (.f64 c a) -1/2) b_2)))
(fma.f64 -1/8 (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b_2 3))) (fma.f64 -1/2 (.f64 a (/.f64 c b_2)) (.f64 (/.f64 -1/16 (pow.f64 b_2 5)) (.f64 (pow.f64 a 3) (pow.f64 c 3)))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 c 4) (pow.f64 a 4))) (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2)) (pow.f64 b_2 7))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (*.f64 c a) b_2)))))
(fma.f64 -1/2 (/.f64 (fma.f64 1/16 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 (.f64 (.f64 (.f64 c c) (.f64 a a)) -1/8) 2)) (pow.f64 b_2 7)) (fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) (fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (/.f64 (.f64 -1/2 (*.f64 c a)) b_2))))
(fma.f64 -1/2 (/.f64 (fma.f64 1/16 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 1/64)) (pow.f64 b_2 7)) (fma.f64 -1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) (fma.f64 -1/8 (/.f64 c (/.f64 (/.f64 (pow.f64 b_2 3) (.f64 a a)) c)) (/.f64 (.f64 (*.f64 c a) -1/2) b_2))))
(fma.f64 -1/2 (/.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 5/64) (pow.f64 b_2 7)) (fma.f64 -1/8 (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b_2 3))) (fma.f64 -1/2 (.f64 a (/.f64 c b_2)) (.f64 (/.f64 -1/16 (pow.f64 b_2 5)) (.f64 (pow.f64 a 3) (pow.f64 c 3))))))
(*.f64 -2 b_2)
(*.f64 b_2 -2)
(+.f64 (.f64 -2 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(fma.f64 -2 b_2 (/.f64 (.f64 1/2 (.f64 c a)) b_2))
(fma.f64 b_2 -2 (.f64 1/2 (.f64 (/.f64 c b_2) a)))
(fma.f64 b_2 -2 (.f64 (/.f64 1/2 b_2) (.f64 c a)))
(+.f64 (.f64 -2 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 c a) b_2))))
(fma.f64 -2 b_2 (fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (/.f64 (.f64 1/2 (.f64 c a)) b_2)))
(fma.f64 b_2 -2 (fma.f64 1/2 (.f64 (/.f64 c b_2) a) (/.f64 1/8 (/.f64 (pow.f64 b_2 3) (.f64 c (.f64 c (.f64 a a)))))))
(fma.f64 (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b_2 3))) 1/8 (fma.f64 b_2 -2 (.f64 (/.f64 1/2 b_2) (*.f64 c a))))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -2 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))))
(fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) (fma.f64 -2 b_2 (fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (/.f64 (.f64 1/2 (.f64 c a)) b_2))))
(fma.f64 1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) (fma.f64 b_2 -2 (fma.f64 1/2 (.f64 (/.f64 c b_2) a) (/.f64 1/8 (/.f64 (pow.f64 b_2 3) (.f64 c (.f64 c (*.f64 a a))))))))
(fma.f64 1/16 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) (fma.f64 (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b_2 3))) 1/8 (fma.f64 b_2 -2 (.f64 (/.f64 1/2 b_2) (.f64 c a)))))
(*.f64 -2 b_2)
(*.f64 b_2 -2)
(+.f64 (.f64 -2 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(fma.f64 -2 b_2 (/.f64 (.f64 1/2 (.f64 c a)) b_2))
(fma.f64 b_2 -2 (.f64 1/2 (.f64 (/.f64 c b_2) a)))
(fma.f64 b_2 -2 (.f64 (/.f64 1/2 b_2) (.f64 c a)))
(+.f64 (.f64 -2 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 c a) b_2))))
(fma.f64 -2 b_2 (fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (/.f64 (.f64 1/2 (.f64 c a)) b_2)))
(fma.f64 b_2 -2 (fma.f64 1/2 (.f64 (/.f64 c b_2) a) (/.f64 1/8 (/.f64 (pow.f64 b_2 3) (.f64 c (.f64 c (.f64 a a)))))))
(fma.f64 (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b_2 3))) 1/8 (fma.f64 b_2 -2 (.f64 (/.f64 1/2 b_2) (*.f64 c a))))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -2 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))))
(fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) (fma.f64 -2 b_2 (fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (/.f64 (.f64 1/2 (.f64 c a)) b_2))))
(fma.f64 1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) (fma.f64 b_2 -2 (fma.f64 1/2 (.f64 (/.f64 c b_2) a) (/.f64 1/8 (/.f64 (pow.f64 b_2 3) (.f64 c (.f64 c (*.f64 a a))))))))
(fma.f64 1/16 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) (fma.f64 (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b_2 3))) 1/8 (fma.f64 b_2 -2 (.f64 (/.f64 1/2 b_2) (.f64 c a)))))

eval558.0ms (3.7%)

Compiler: Compiled 37390 to 15934 computations (57.4% saved)

prune484.0ms (3.2%)

Pruning

31 alts after pruning (29 fresh and 2 done)

	Pruned	Kept	Total
New	1395	14	1409
Fresh	5	15	20
Picked	1	0	1
Done	3	2	5
Total	1404	31	1435

Error

5.2b

Counts

1435 → 31

Alt Table

Click to see full alt table

Status	Error	Program
	44.2b	(fma.f64 1/2 (/.f64 c b_2) (*.f64 b_2 (/.f64 -2 a)))
	45.9b	(fma.f64 -1/2 (/.f64 c b_2) (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (*.f64 a -1/8)))
▶	52.8b	(/.f64 (fma.f64 -1/8 (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (*.f64 c a) b_2))) a)
	47.8b	(/.f64 (/.f64 (-.f64 (.f64 b_2 b_2) (-.f64 (.f64 b_2 b_2) (.f64 a c))) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))) a)
▶	36.0b	(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 2)) a)
	39.2b	(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/6) 3)) a)
	36.4b	(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 3/2)) a)
	55.5b	(/.f64 (-.f64 (neg.f64 b_2) (-.f64 (/.f64 1/2 (/.f64 b_2 (*.f64 a c))) b_2)) a)
✓	35.4b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	45.6b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))) a)
	55.3b	(/.f64 (-.f64 (neg.f64 b_2) (neg.f64 b_2)) a)
	38.2b	(/.f64 (-.f64 (neg.f64 b_2) (exp.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))) a)
	53.1b	(/.f64 (-.f64 (neg.f64 b_2) (cbrt.f64 (pow.f64 (*.f64 c (neg.f64 a)) 3/2))) a)
	62.2b	(/.f64 (-.f64 (neg.f64 b_2) (cbrt.f64 (-.f64 (.f64 (.f64 a b_2) (*.f64 c 3/2)) (pow.f64 b_2 3)))) a)
	56.0b	(/.f64 (-.f64 (neg.f64 b_2) (cbrt.f64 (+.f64 (pow.f64 b_2 3) (.f64 -3/2 (.f64 c (*.f64 a b_2)))))) a)
	62.2b	(/.f64 (-.f64 (neg.f64 b_2) (cbrt.f64 (+.f64 (.f64 -1 (pow.f64 b_2 3)) (.f64 3/2 (.f64 c (.f64 a b_2)))))) a)
▶	45.9b	(/.f64 (+.f64 (.f64 -2 b_2) (/.f64 (.f64 1/2 (*.f64 c a)) b_2)) a)
	47.3b	(/.f64 (+.f64 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) b_2) a)
	44.2b	(/.f64 (*.f64 b_2 -2) a)
	55.6b	(/.f64 (*.f64 1/2 c) b_2)
	44.6b	(/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)
	43.5b	(/.f64 (*.f64 -1/2 (/.f64 a (/.f64 b_2 c))) a)
	45.6b	(/.f64 (neg.f64 (sqrt.f64 (*.f64 a (neg.f64 c)))) a)
	44.2b	(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
	54.8b	(.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (sqrt.f64 a)))
▶	47.3b	(.f64 (/.f64 1 a) (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))
▶	44.3b	(*.f64 b_2 (/.f64 -2 a))
✓	39.6b	(*.f64 -1/2 (/.f64 c b_2))
	51.6b	(expm1.f64 (log1p.f64 (/.f64 (fma.f64 1/2 (.f64 (/.f64 c b_2) a) (.f64 -2 b_2)) a)))
	57.0b	(exp.f64 (log.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a)))
	55.7b	(cbrt.f64 (pow.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a) 3))

Compiler

Compiled 950 to 646 computations (32% saved)

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 2)
	0.6b	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	10.8b	(-.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 2))
✓	25.7b	(pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4)

Compiler

Compiled 73 to 26 computations (64.4% saved)

series37.0ms (0.2%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
4.0ms	a	@	-inf	(-.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 2))
2.0ms	c	@	-inf	(-.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 2))
2.0ms	c	@	inf	(-.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 2))
2.0ms	a	@	inf	(-.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 2))
1.0ms	b_2	@	0	(pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4)

rewrite83.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

615×	`log-prod_binary64`
613×	`fma-def_binary64`
342×	`pow2_binary64`
291×	`fma-neg_binary64`
232×	`expm1-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	44
1	306	40
2	4065	38

Stop Event

1×	node limit

Counts

3 → 166

Calls

Call 1

Inputs
(pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4)
(-.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 2))
(pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 2)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))) (cbrt.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4)) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/8) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (sqrt.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/4) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 2) 1/4) (pow.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) 1/4) (pow.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/4 (log.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/4 (log.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) 1))))))

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))) (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))) (*.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4)) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/8) (*.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/8) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/8) 3) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))))) (cbrt.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 4) (pow.f64 (*.f64 a c) 2))) (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 6) (pow.f64 (*.f64 a c) 3))) (sqrt.f64 (fma.f64 (*.f64 a c) (fma.f64 b_2 b_2 (*.f64 a c)) (pow.f64 b_2 4))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) (sqrt.f64 (fma.f64 a (neg.f64 c) (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (fma.f64 a (neg.f64 c) (*.f64 a c))) (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))) 1))))))

simplify119.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

791×	`fma-def_binary64`
619×	`associate-r_binary64`
478×	`times-frac_binary64`
460×	`associate-l_binary64`
370×	`associate-/r*_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	590	7850
1	2199	6753

Stop Event

1×	node limit

Counts

274 → 355

Calls

Call 1

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

Outputs
(pow.f64 (.f64 -1 (.f64 c a)) 1/4)
(pow.f64 (*.f64 (neg.f64 c) a) 1/4)
(pow.f64 (*.f64 a (neg.f64 c)) 1/4)
(+.f64 (.f64 -1/4 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b_2 2))) (pow.f64 (.f64 -1 (*.f64 c a)) 1/4))
(fma.f64 -1/4 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (.f64 b_2 b_2)) (pow.f64 (.f64 (neg.f64 c) a) 1/4))
(fma.f64 -1/4 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (.f64 b_2 b_2)) (pow.f64 (.f64 a (neg.f64 c)) 1/4))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b_2 2))) (+.f64 (.f64 -3/32 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b_2 4))) (pow.f64 (.f64 -1 (.f64 c a)) 1/4)))
(fma.f64 -1/4 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (.f64 b_2 b_2)) (fma.f64 -3/32 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b_2 4)) (pow.f64 (.f64 (neg.f64 c) a) 1/4)))
(fma.f64 -1/4 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (.f64 b_2 b_2)) (fma.f64 -3/32 (.f64 (pow.f64 (/.f64 (/.f64 -1 (pow.f64 c 7)) (pow.f64 a 7)) 1/4) (pow.f64 b_2 4)) (pow.f64 (*.f64 a (neg.f64 c)) 1/4)))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b_2 2))) (+.f64 (.f64 -7/128 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 11) (pow.f64 a 11))) 1/4) (pow.f64 b_2 6))) (+.f64 (.f64 -3/32 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b_2 4))) (pow.f64 (.f64 -1 (*.f64 c a)) 1/4))))
(fma.f64 -1/4 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (.f64 b_2 b_2)) (fma.f64 -7/128 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 11) (pow.f64 a 11))) 1/4) (pow.f64 b_2 6)) (fma.f64 -3/32 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b_2 4)) (pow.f64 (.f64 (neg.f64 c) a) 1/4))))
(fma.f64 -1/4 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (.f64 b_2 b_2)) (fma.f64 -7/128 (.f64 (pow.f64 (/.f64 (/.f64 -1 (pow.f64 c 11)) (pow.f64 a 11)) 1/4) (pow.f64 b_2 6)) (fma.f64 -3/32 (.f64 (pow.f64 (/.f64 (/.f64 -1 (pow.f64 c 7)) (pow.f64 a 7)) 1/4) (pow.f64 b_2 4)) (pow.f64 (.f64 a (neg.f64 c)) 1/4))))
(sqrt.f64 b_2)
(+.f64 (.f64 -1/4 (.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (sqrt.f64 b_2))
(fma.f64 -1/4 (.f64 c (.f64 a (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (sqrt.f64 b_2))
(fma.f64 (.f64 (.f64 -1/4 c) a) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))) (sqrt.f64 b_2))
(+.f64 (.f64 -1/4 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (+.f64 (sqrt.f64 b_2) (.f64 (+.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 1/32 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (sqrt.f64 (/.f64 1 (pow.f64 b_2 7))))))
(fma.f64 -1/4 (.f64 c (.f64 a (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (+.f64 (sqrt.f64 b_2) (.f64 (.f64 (.f64 (.f64 c c) (*.f64 a a)) -3/32) (sqrt.f64 (/.f64 1 (pow.f64 b_2 7))))))
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(fma.f64 -1 (/.f64 (fma.f64 1/16 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2) (/.f64 (.f64 a a) (pow.f64 b_2 4))) (.f64 2 (.f64 (.f64 (/.f64 (pow.f64 b_2 4) (.f64 a a)) -3/32) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2)))) (.f64 c c)) (fma.f64 -1 (+.f64 b_2 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2)) (.f64 1/2 (.f64 (/.f64 (.f64 b_2 b_2) c) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2) a)))))
(-.f64 (-.f64 (.f64 (.f64 1/2 (/.f64 b_2 (/.f64 c b_2))) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2) a)) (+.f64 b_2 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2))) (/.f64 (fma.f64 1/16 (.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2) a) (/.f64 (pow.f64 b_2 4) a)) (.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2) (.f64 (/.f64 (.f64 (pow.f64 b_2 4) -3/32) (.f64 a a)) 2))) (.f64 c c)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b_2 4)) (pow.f64 a 2))) (.f64 2 (.f64 (+.f64 (.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))) (.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)))) (pow.f64 c 2))) (+.f64 (.f64 -1 (+.f64 b_2 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 b_2 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (.f64 c a))) (+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))) (.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2)))) (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b_2 2))) (.f64 (pow.f64 c 3) a))) (.f64 2 (/.f64 (.f64 (+.f64 (.f64 -1/32 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3))) (+.f64 (.f64 1/12 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3))) (.f64 1/384 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3))))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (pow.f64 c 3)))))))
(fma.f64 -1 (/.f64 (fma.f64 1/16 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2) (/.f64 (.f64 a a) (pow.f64 b_2 4))) (.f64 2 (.f64 (.f64 (/.f64 (pow.f64 b_2 4) (.f64 a a)) -3/32) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2)))) (.f64 c c)) (fma.f64 -1 (+.f64 b_2 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2)) (fma.f64 1/2 (.f64 (/.f64 (.f64 b_2 b_2) c) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2) a)) (fma.f64 1/2 (/.f64 (.f64 (.f64 (.f64 b_2 b_2) (.f64 (/.f64 (pow.f64 b_2 4) (.f64 a a)) -3/32)) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2)) (.f64 a (pow.f64 c 3))) (.f64 2 (/.f64 (fma.f64 -1/32 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3)) (.f64 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3)) 11/128)) (/.f64 (pow.f64 c 3) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2))))))))
(-.f64 (-.f64 (fma.f64 1/2 (.f64 (/.f64 b_2 (/.f64 c b_2)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2) a)) (fma.f64 2 (.f64 (/.f64 (.f64 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3)) 7/128) (pow.f64 c 3)) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2)) (.f64 1/2 (.f64 (/.f64 (.f64 (.f64 b_2 b_2) (/.f64 (.f64 (pow.f64 b_2 4) -3/32) (.f64 a a))) (pow.f64 c 3)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2) a))))) (+.f64 b_2 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2))) (/.f64 (fma.f64 1/16 (.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2) a) (/.f64 (pow.f64 b_2 4) a)) (.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2) (.f64 (/.f64 (.f64 (pow.f64 b_2 4) -3/32) (.f64 a a)) 2))) (*.f64 c c)))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))
(.f64 (sqrt.f64 -1) (sqrt.f64 (.f64 c a)))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (sqrt.f64 -1) (pow.f64 b_2 2)))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (.f64 b_2 b_2) (sqrt.f64 -1))) -1/2))
(fma.f64 (sqrt.f64 -1) (sqrt.f64 (.f64 c a)) (.f64 (sqrt.f64 (/.f64 (/.f64 1 a) c)) (.f64 (.f64 b_2 (*.f64 b_2 (sqrt.f64 -1))) -1/2)))
(+.f64 (.f64 (pow.f64 b_2 4) (+.f64 (.f64 -3/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (sqrt.f64 -1))) (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (sqrt.f64 -1))))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (*.f64 (sqrt.f64 -1) (pow.f64 b_2 2))))))
(fma.f64 (pow.f64 b_2 4) (.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 3)))) -1/8) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (.f64 b_2 b_2) (sqrt.f64 -1))) -1/2)))
(fma.f64 (pow.f64 b_2 4) (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (.f64 (sqrt.f64 -1) -1/8)) (fma.f64 (sqrt.f64 -1) (sqrt.f64 (.f64 c a)) (.f64 (sqrt.f64 (/.f64 (/.f64 1 a) c)) (.f64 (.f64 b_2 (.f64 b_2 (sqrt.f64 -1))) -1/2))))
(+.f64 (.f64 (pow.f64 b_2 4) (+.f64 (.f64 -3/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (sqrt.f64 -1))) (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (sqrt.f64 -1))))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (sqrt.f64 -1) (pow.f64 b_2 2)))) (.f64 (pow.f64 b_2 6) (+.f64 (.f64 -7/64 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (sqrt.f64 -1))) (.f64 3/64 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (sqrt.f64 -1))))))))
(fma.f64 (pow.f64 b_2 4) (.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 3)))) -1/8) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (.f64 b_2 b_2) (sqrt.f64 -1))) (.f64 (pow.f64 b_2 6) (.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5))))) -1/16)))))
(fma.f64 (pow.f64 b_2 4) (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (.f64 (sqrt.f64 -1) -1/8)) (fma.f64 (sqrt.f64 -1) (sqrt.f64 (.f64 c a)) (fma.f64 (pow.f64 b_2 6) (.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 5)) (pow.f64 a 5))) (.f64 (sqrt.f64 -1) -1/16)) (.f64 (sqrt.f64 (/.f64 (/.f64 1 a) c)) (.f64 (.f64 b_2 (.f64 b_2 (sqrt.f64 -1))) -1/2)))))
b_2
(+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 b_2 (*.f64 (/.f64 c (/.f64 b_2 a)) -1/2))
(fma.f64 (*.f64 (/.f64 c b_2) a) -1/2 b_2)
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))))
(fma.f64 1/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3)) (fma.f64 -1/4 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3)) (+.f64 b_2 (*.f64 (/.f64 c (/.f64 b_2 a)) -1/2))))
(+.f64 (.f64 -1/8 (.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) c)) (.f64 a a))) (fma.f64 (.f64 (/.f64 c b_2) a) -1/2 b_2))
(+.f64 (.f64 2 (/.f64 (+.f64 (.f64 1/32 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (.f64 -1/384 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (.f64 -1/12 (.f64 (pow.f64 c 3) (pow.f64 a 3))))) (pow.f64 b_2 5))) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (+.f64 (.f64 -1/2 (/.f64 (.f64 c (.f64 (+.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 1/32 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) a)) (pow.f64 b_2 5))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))))))
(fma.f64 2 (/.f64 (fma.f64 1/32 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) -11/128)) (pow.f64 b_2 5)) (fma.f64 1/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3)) (fma.f64 -1/4 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3)) (+.f64 b_2 (.f64 -1/2 (+.f64 (/.f64 c (/.f64 (pow.f64 b_2 5) (.f64 a (.f64 (.f64 (.f64 c c) (*.f64 a a)) -3/32)))) (/.f64 c (/.f64 b_2 a))))))))
(fma.f64 2 (/.f64 (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) -7/128) (pow.f64 b_2 5)) (+.f64 (.f64 -1/8 (.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) c)) (.f64 a a))) (fma.f64 -1/2 (+.f64 (.f64 (/.f64 c (pow.f64 b_2 5)) (.f64 a (.f64 (.f64 a a) (.f64 (.f64 c c) -3/32)))) (.f64 (/.f64 c b_2) a)) b_2)))
(*.f64 -1 b_2)
(neg.f64 b_2)
(+.f64 (.f64 -1 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(fma.f64 -1 b_2 (*.f64 1/2 (/.f64 c (/.f64 b_2 a))))
(-.f64 (.f64 1/2 (.f64 (/.f64 c b_2) a)) b_2)
(+.f64 (.f64 -1 b_2) (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 1/4 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))))))
(fma.f64 -1 b_2 (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) (.f64 1/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3)))))
(-.f64 (fma.f64 1/2 (.f64 (/.f64 c b_2) a) (/.f64 (.f64 (.f64 (.f64 1/8 c) c) (*.f64 a a)) (pow.f64 b_2 3))) b_2)
(+.f64 (.f64 -1 b_2) (+.f64 (.f64 1/2 (/.f64 (.f64 c (.f64 (+.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 1/32 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) a)) (pow.f64 b_2 5))) (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 1/32 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (.f64 -1/384 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (.f64 -1/12 (.f64 (pow.f64 c 3) (pow.f64 a 3))))) (pow.f64 b_2 5))) (.f64 1/4 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))))))))
(fma.f64 -1 b_2 (fma.f64 1/2 (/.f64 c (/.f64 (pow.f64 b_2 5) (.f64 a (.f64 (.f64 (.f64 c c) (.f64 a a)) -3/32)))) (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) (fma.f64 -1/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3)) (fma.f64 -2 (/.f64 (fma.f64 1/32 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) -11/128)) (pow.f64 b_2 5)) (.f64 1/4 (/.f64 (.f64 (.f64 c c) (*.f64 a a)) (pow.f64 b_2 3))))))))
(-.f64 (fma.f64 1/2 (.f64 (/.f64 c (pow.f64 b_2 5)) (.f64 a (.f64 (.f64 a a) (.f64 (.f64 c c) -3/32)))) (fma.f64 1/2 (.f64 (/.f64 c b_2) a) (fma.f64 -1/8 (.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) c)) (.f64 a a)) (fma.f64 -2 (/.f64 (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) -7/128) (pow.f64 b_2 5)) (/.f64 (.f64 (.f64 1/4 (.f64 c c)) (*.f64 a a)) (pow.f64 b_2 3)))))) b_2)
b_2
(+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 b_2 (*.f64 (/.f64 c (/.f64 b_2 a)) -1/2))
(fma.f64 (*.f64 (/.f64 c b_2) a) -1/2 b_2)
(+.f64 (.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 c 2) (pow.f64 b_2 3))) (.f64 2 (.f64 b_2 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 4))) (.f64 1/32 (/.f64 (pow.f64 c 2) (pow.f64 b_2 4))))))) (pow.f64 a 2)) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(fma.f64 (fma.f64 1/16 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 (.f64 2 b_2) (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 4)) -3/32))) (.f64 a a) (+.f64 b_2 (*.f64 (/.f64 c (/.f64 b_2 a)) -1/2)))
(fma.f64 (.f64 a a) (fma.f64 2 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 4)) (.f64 -3/32 b_2)) (/.f64 1/16 (/.f64 (pow.f64 b_2 3) (.f64 c c)))) (fma.f64 (.f64 (/.f64 c b_2) a) -1/2 b_2))
(+.f64 (.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 c 2) (pow.f64 b_2 3))) (.f64 2 (.f64 b_2 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 4))) (.f64 1/32 (/.f64 (pow.f64 c 2) (pow.f64 b_2 4))))))) (pow.f64 a 2)) (+.f64 (.f64 (pow.f64 a 3) (+.f64 (.f64 2 (.f64 b_2 (+.f64 (.f64 -1/12 (/.f64 (pow.f64 c 3) (pow.f64 b_2 6))) (+.f64 (.f64 1/32 (/.f64 (pow.f64 c 3) (pow.f64 b_2 6))) (.f64 -1/384 (/.f64 (pow.f64 c 3) (pow.f64 b_2 6))))))) (.f64 -1/2 (/.f64 (.f64 c (+.f64 (.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 4))) (.f64 1/32 (/.f64 (pow.f64 c 2) (pow.f64 b_2 4))))) b_2)))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))))
(fma.f64 (fma.f64 1/16 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 (.f64 2 b_2) (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 4)) -3/32))) (.f64 a a) (fma.f64 (pow.f64 a 3) (fma.f64 2 (.f64 b_2 (fma.f64 -1/12 (/.f64 (pow.f64 c 3) (pow.f64 b_2 6)) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 6)) 11/384))) (.f64 -1/2 (/.f64 c (/.f64 b_2 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 4)) -3/32))))) (+.f64 b_2 (.f64 (/.f64 c (/.f64 b_2 a)) -1/2))))
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(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) 2)
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(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 1 c)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 c) (log.f64 (/.f64 -1 a)))) 2)
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b_2
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(+.f64 b_2 (*.f64 (/.f64 c (/.f64 b_2 a)) -1/2))
(fma.f64 (*.f64 (/.f64 c b_2) a) -1/2 b_2)
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(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 a)) (neg.f64 (neg.f64 (log.f64 c))))) 2)
(pow.f64 (exp.f64 1/4) (*.f64 2 (+.f64 (log.f64 (neg.f64 a)) (log.f64 c))))
(+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (.f64 -1/2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b_2 2)) (*.f64 c a))))
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(fma.f64 -1/2 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 a)) (neg.f64 (neg.f64 (log.f64 c))))) 2) (/.f64 (.f64 a (pow.f64 c 3)) (.f64 (.f64 b_2 b_2) (.f64 (/.f64 (pow.f64 b_2 4) (.f64 a a)) -3/32)))) (fma.f64 2 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 a)) (neg.f64 (neg.f64 (log.f64 c))))) 2) (/.f64 (.f64 c c) (.f64 (/.f64 (pow.f64 b_2 4) (.f64 a a)) -3/32))) (fma.f64 1/16 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 a)) (neg.f64 (neg.f64 (log.f64 c))))) 2) (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 4))) (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 a)) (neg.f64 (neg.f64 (log.f64 c))))) 2) (fma.f64 2 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 a)) (neg.f64 (neg.f64 (log.f64 c))))) 2) (/.f64 (pow.f64 c 3) (fma.f64 1/32 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3)) (.f64 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3)) -11/128)))) (.f64 -1/2 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 a)) (neg.f64 (neg.f64 (log.f64 c))))) 2) (/.f64 (.f64 c a) (*.f64 b_2 b_2)))))))))
(fma.f64 -1/2 (.f64 (/.f64 (pow.f64 (exp.f64 1/4) (.f64 2 (+.f64 (log.f64 (neg.f64 a)) (log.f64 c)))) a) (/.f64 (.f64 (.f64 b_2 b_2) (/.f64 (.f64 (pow.f64 b_2 4) -3/32) (.f64 a a))) (pow.f64 c 3))) (fma.f64 2 (.f64 (/.f64 (pow.f64 (exp.f64 1/4) (.f64 2 (+.f64 (log.f64 (neg.f64 a)) (log.f64 c)))) c) (/.f64 (/.f64 (.f64 (pow.f64 b_2 4) -3/32) (.f64 a a)) c)) (+.f64 (fma.f64 1/16 (.f64 (/.f64 (pow.f64 b_2 4) (.f64 c c)) (/.f64 (pow.f64 (exp.f64 1/4) (.f64 2 (+.f64 (log.f64 (neg.f64 a)) (log.f64 c)))) (.f64 a a))) (pow.f64 (exp.f64 1/4) (.f64 2 (+.f64 (log.f64 (neg.f64 a)) (log.f64 c))))) (fma.f64 2 (/.f64 (pow.f64 (exp.f64 1/4) (.f64 2 (+.f64 (log.f64 (neg.f64 a)) (log.f64 c)))) (/.f64 (pow.f64 c 3) (.f64 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3)) -7/128))) (.f64 (/.f64 (pow.f64 (exp.f64 1/4) (.f64 2 (+.f64 (log.f64 (neg.f64 a)) (log.f64 c)))) c) (.f64 (/.f64 b_2 (/.f64 a b_2)) -1/2))))))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2)
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b_2 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (.f64 c a))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2))
(fma.f64 -1/2 (.f64 (/.f64 (.f64 b_2 b_2) c) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2) a)) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2))
(fma.f64 -1/2 (*.f64 (/.f64 b_2 (/.f64 c b_2)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2) a)) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 b_2 4) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (.f64 2 (/.f64 (.f64 (+.f64 (.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))) (.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (pow.f64 c 2))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b_2 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (.f64 c a))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2))))
(fma.f64 1/16 (.f64 (/.f64 (pow.f64 b_2 4) (.f64 c c)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2) (.f64 a a))) (fma.f64 2 (/.f64 (.f64 (/.f64 (pow.f64 b_2 4) (.f64 a a)) -3/32) (/.f64 (.f64 c c) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2))) (fma.f64 -1/2 (.f64 (/.f64 (.f64 b_2 b_2) c) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2) a)) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2))))
(fma.f64 1/16 (.f64 (/.f64 (pow.f64 b_2 4) (.f64 c c)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2) (.f64 a a))) (fma.f64 2 (.f64 (/.f64 (/.f64 (.f64 (pow.f64 b_2 4) -3/32) (.f64 a a)) (.f64 c c)) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2)) (fma.f64 -1/2 (.f64 (/.f64 b_2 (/.f64 c b_2)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2) a)) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (+.f64 (.f64 -1/32 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3))) (+.f64 (.f64 1/12 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3))) (.f64 1/384 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3))))))) (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))) (.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2)))) (.f64 (pow.f64 b_2 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2))) a))) (pow.f64 c 3))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 b_2 4) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (.f64 2 (/.f64 (.f64 (+.f64 (.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))) (.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (pow.f64 c 2))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b_2 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (.f64 c a))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)))))
(fma.f64 -1 (/.f64 (fma.f64 2 (.f64 (fma.f64 -1/32 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3)) (.f64 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3)) 11/128)) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2)) (.f64 1/2 (/.f64 (.f64 (.f64 (.f64 b_2 b_2) (.f64 (/.f64 (pow.f64 b_2 4) (.f64 a a)) -3/32)) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2)) a))) (pow.f64 c 3)) (fma.f64 1/16 (.f64 (/.f64 (pow.f64 b_2 4) (.f64 c c)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2) (.f64 a a))) (fma.f64 2 (/.f64 (.f64 (/.f64 (pow.f64 b_2 4) (.f64 a a)) -3/32) (/.f64 (.f64 c c) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2))) (fma.f64 -1/2 (.f64 (/.f64 (.f64 b_2 b_2) c) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2) a)) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2)))))
(-.f64 (fma.f64 1/16 (.f64 (/.f64 (pow.f64 b_2 4) (.f64 c c)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2) (.f64 a a))) (fma.f64 2 (.f64 (/.f64 (/.f64 (.f64 (pow.f64 b_2 4) -3/32) (.f64 a a)) (.f64 c c)) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2)) (fma.f64 -1/2 (.f64 (/.f64 b_2 (/.f64 c b_2)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2) a)) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2)))) (/.f64 (fma.f64 2 (.f64 (.f64 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3)) 7/128) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2)) (/.f64 (.f64 1/2 (.f64 (.f64 (.f64 b_2 b_2) (/.f64 (.f64 (pow.f64 b_2 4) -3/32) (.f64 a a))) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2))) a)) (pow.f64 c 3)))

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 b_2 (/.f64 -2 a))

Compiler

Compiled 14 to 9 computations (35.7% saved)

series4.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite47.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

616×	`pow1_binary64`
572×	`add-log-exp_binary64`
572×	`log1p-expm1-u_binary64`
572×	`expm1-log1p-u_binary64`
561×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	128	7
2	1556	7

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

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

Outputs

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

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`associate-/l*_binary64`
1×	`associate-*r/_binary64`
1×	`associate-*l/_binary64`
1×	`associate-/r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	168
1	9	168
2	13	168
3	17	168
4	18	168

Stop Event

1×

saturated

Counts

44 → 21

Calls

Call 1

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

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

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 -2 b_2) (/.f64 (.f64 1/2 (*.f64 c a)) b_2))
✓	0.0b	(.f64 1/2 (.f64 c a))
✓	4.8b	(/.f64 (.f64 1/2 (.f64 c a)) b_2)
✓	5.4b	(/.f64 (+.f64 (.f64 -2 b_2) (/.f64 (.f64 1/2 (*.f64 c a)) b_2)) a)

Compiler

Compiled 50 to 26 computations (48% saved)

series14.0ms (0.1%)

Counts

4 → 108

Calls

33 calls:

Time	Variable		Point	Expression
4.0ms	a	@	inf	(/.f64 (+.f64 (.f64 -2 b_2) (/.f64 (.f64 1/2 (*.f64 c a)) b_2)) a)
0.0ms	a	@	inf	(.f64 1/2 (.f64 c a))
0.0ms	c	@	0	(.f64 1/2 (.f64 c a))
0.0ms	c	@	inf	(.f64 1/2 (.f64 c a))
0.0ms	a	@	0	(.f64 1/2 (.f64 c a))

rewrite88.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

745×	`log-prod_binary64`
355×	`pow2_binary64`
301×	`fma-def_binary64`
248×	`pow1/3_binary64`
244×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	48
1	267	48
2	3824	48

Stop Event

1×	node limit

Counts

4 → 187

Calls

Call 1

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

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

simplify73.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

25×	`fma-def_binary64`
17×	`associate-/l*_binary64`
15×	`*-commutative_binary64`
10×	`associate-/r/_binary64`
9×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	1245
1	31	1245
2	56	1245
3	80	1245
4	109	1245
5	129	1245
6	131	1245

Stop Event

1×

saturated

Counts

295 → 197

Calls

Call 1

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

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

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))
✓	0.1b	(.f64 (/.f64 1 a) (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))
✓	0.9b	(-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))
✓	12.7b	(sqrt.f64 (*.f64 a (neg.f64 c)))

Compiler

Compiled 50 to 14 computations (72% saved)

series56.0ms (0.4%)

Counts

4 → 38

Calls

33 calls:

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

rewrite115.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

570×	`log-prod_binary64`
562×	`prod-diff_binary64`
293×	`pow2_binary64`
227×	`fma-def_binary64`
220×	`pow-unpow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	50
1	254	42
2	3386	42

Stop Event

1×	node limit

Counts

4 → 194

Calls

Call 1

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

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

simplify71.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

948×	`times-frac_binary64`
698×	`fma-def_binary64`
678×	`associate-/l*_binary64`
504×	`associate-/r*_binary64`
327×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	164	1607
1	499	1305
2	1908	1213
3	7465	1209

Stop Event

1×	node limit

Counts

232 → 263

Calls

Call 1

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

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

localize47.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	6.6b	(/.f64 (fma.f64 -1/8 (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (*.f64 c a) b_2))) a)
✓	8.1b	(fma.f64 -1/8 (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (*.f64 c a) b_2)))
✓	15.8b	(.f64 (.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b_2 3)))
✓	16.6b	(/.f64 (*.f64 c c) (pow.f64 b_2 3))

Compiler

Compiled 93 to 38 computations (59.1% saved)

series75.0ms (0.5%)

Counts

4 → 132

Calls

33 calls:

Time	Variable		Point	Expression
14.0ms	c	@	0	(/.f64 (*.f64 c c) (pow.f64 b_2 3))
1.0ms	a	@	0	(.f64 (.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b_2 3)))
1.0ms	b_2	@	0	(/.f64 (*.f64 c c) (pow.f64 b_2 3))
1.0ms	c	@	0	(.f64 (.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b_2 3)))
1.0ms	c	@	inf	(/.f64 (*.f64 c c) (pow.f64 b_2 3))

rewrite97.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

967×	`log-prod_binary64`
311×	`expm1-udef_binary64`
311×	`log1p-udef_binary64`
276×	`prod-diff_binary64`
263×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	87
1	371	78
2	4900	78

Stop Event

1×	node limit

Counts

4 → 136

Calls

Call 1

Inputs
(/.f64 (*.f64 c c) (pow.f64 b_2 3))
(.f64 (.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b_2 3)))
(fma.f64 -1/8 (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (*.f64 c a) b_2)))
(/.f64 (fma.f64 -1/8 (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (*.f64 c a) b_2))) a)

Outputs
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simplify213.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

623×	`unswap-sqr_binary64`
546×	`associate-*l/_binary64`
546×	`associate-/r*_binary64`
522×	`associate-r_binary64`
499×	`associate-l_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	25	2463
1	65	2463
2	214	2463
3	1020	2382
4	5532	2328
5	7249	2220
6	7783	2220

Stop Event

1×	node limit

Counts

268 → 152

Calls

Call 1

Inputs
(/.f64 (pow.f64 c 2) (pow.f64 b_2 3))
(/.f64 (pow.f64 c 2) (pow.f64 b_2 3))
(/.f64 (pow.f64 c 2) (pow.f64 b_2 3))
(/.f64 (pow.f64 c 2) (pow.f64 b_2 3))
(/.f64 (pow.f64 c 2) (pow.f64 b_2 3))
(/.f64 (pow.f64 c 2) (pow.f64 b_2 3))
(/.f64 (pow.f64 c 2) (pow.f64 b_2 3))
(/.f64 (pow.f64 c 2) (pow.f64 b_2 3))
(/.f64 (pow.f64 c 2) (pow.f64 b_2 3))
(/.f64 (pow.f64 c 2) (pow.f64 b_2 3))
(/.f64 (pow.f64 c 2) (pow.f64 b_2 3))
(/.f64 (pow.f64 c 2) (pow.f64 b_2 3))
(/.f64 (pow.f64 c 2) (pow.f64 b_2 3))
(/.f64 (pow.f64 c 2) (pow.f64 b_2 3))
(/.f64 (pow.f64 c 2) (pow.f64 b_2 3))
(/.f64 (pow.f64 c 2) (pow.f64 b_2 3))
(/.f64 (pow.f64 c 2) (pow.f64 b_2 3))
(/.f64 (pow.f64 c 2) (pow.f64 b_2 3))
(/.f64 (pow.f64 c 2) (pow.f64 b_2 3))
(/.f64 (pow.f64 c 2) (pow.f64 b_2 3))
(/.f64 (pow.f64 c 2) (pow.f64 b_2 3))
(/.f64 (pow.f64 c 2) (pow.f64 b_2 3))
(/.f64 (pow.f64 c 2) (pow.f64 b_2 3))
(/.f64 (pow.f64 c 2) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(*.f64 -1/2 (/.f64 c b_2))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(*.f64 -1/2 (/.f64 c b_2))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(*.f64 -1/2 (/.f64 c b_2))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(*.f64 -1/2 (/.f64 c b_2))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))

Outputs
(/.f64 (pow.f64 c 2) (pow.f64 b_2 3))
(/.f64 (*.f64 c c) (pow.f64 b_2 3))
(*.f64 (/.f64 c (pow.f64 b_2 3)) c)
(/.f64 c (/.f64 (pow.f64 b_2 3) c))
(/.f64 (pow.f64 c 2) (pow.f64 b_2 3))
(/.f64 (*.f64 c c) (pow.f64 b_2 3))
(*.f64 (/.f64 c (pow.f64 b_2 3)) c)
(/.f64 c (/.f64 (pow.f64 b_2 3) c))
(/.f64 (pow.f64 c 2) (pow.f64 b_2 3))
(/.f64 (*.f64 c c) (pow.f64 b_2 3))
(*.f64 (/.f64 c (pow.f64 b_2 3)) c)
(/.f64 c (/.f64 (pow.f64 b_2 3) c))
(/.f64 (pow.f64 c 2) (pow.f64 b_2 3))
(/.f64 (*.f64 c c) (pow.f64 b_2 3))
(*.f64 (/.f64 c (pow.f64 b_2 3)) c)
(/.f64 c (/.f64 (pow.f64 b_2 3) c))
(/.f64 (pow.f64 c 2) (pow.f64 b_2 3))
(/.f64 (*.f64 c c) (pow.f64 b_2 3))
(*.f64 (/.f64 c (pow.f64 b_2 3)) c)
(/.f64 c (/.f64 (pow.f64 b_2 3) c))
(/.f64 (pow.f64 c 2) (pow.f64 b_2 3))
(/.f64 (*.f64 c c) (pow.f64 b_2 3))
(*.f64 (/.f64 c (pow.f64 b_2 3)) c)
(/.f64 c (/.f64 (pow.f64 b_2 3) c))
(/.f64 (pow.f64 c 2) (pow.f64 b_2 3))
(/.f64 (*.f64 c c) (pow.f64 b_2 3))
(*.f64 (/.f64 c (pow.f64 b_2 3)) c)
(/.f64 c (/.f64 (pow.f64 b_2 3) c))
(/.f64 (pow.f64 c 2) (pow.f64 b_2 3))
(/.f64 (*.f64 c c) (pow.f64 b_2 3))
(*.f64 (/.f64 c (pow.f64 b_2 3)) c)
(/.f64 c (/.f64 (pow.f64 b_2 3) c))
(/.f64 (pow.f64 c 2) (pow.f64 b_2 3))
(/.f64 (*.f64 c c) (pow.f64 b_2 3))
(*.f64 (/.f64 c (pow.f64 b_2 3)) c)
(/.f64 c (/.f64 (pow.f64 b_2 3) c))
(/.f64 (pow.f64 c 2) (pow.f64 b_2 3))
(/.f64 (*.f64 c c) (pow.f64 b_2 3))
(*.f64 (/.f64 c (pow.f64 b_2 3)) c)
(/.f64 c (/.f64 (pow.f64 b_2 3) c))
(/.f64 (pow.f64 c 2) (pow.f64 b_2 3))
(/.f64 (*.f64 c c) (pow.f64 b_2 3))
(*.f64 (/.f64 c (pow.f64 b_2 3)) c)
(/.f64 c (/.f64 (pow.f64 b_2 3) c))
(/.f64 (pow.f64 c 2) (pow.f64 b_2 3))
(/.f64 (*.f64 c c) (pow.f64 b_2 3))
(*.f64 (/.f64 c (pow.f64 b_2 3)) c)
(/.f64 c (/.f64 (pow.f64 b_2 3) c))
(/.f64 (pow.f64 c 2) (pow.f64 b_2 3))
(/.f64 (*.f64 c c) (pow.f64 b_2 3))
(*.f64 (/.f64 c (pow.f64 b_2 3)) c)
(/.f64 c (/.f64 (pow.f64 b_2 3) c))
(/.f64 (pow.f64 c 2) (pow.f64 b_2 3))
(/.f64 (*.f64 c c) (pow.f64 b_2 3))
(*.f64 (/.f64 c (pow.f64 b_2 3)) c)
(/.f64 c (/.f64 (pow.f64 b_2 3) c))
(/.f64 (pow.f64 c 2) (pow.f64 b_2 3))
(/.f64 (*.f64 c c) (pow.f64 b_2 3))
(*.f64 (/.f64 c (pow.f64 b_2 3)) c)
(/.f64 c (/.f64 (pow.f64 b_2 3) c))
(/.f64 (pow.f64 c 2) (pow.f64 b_2 3))
(/.f64 (*.f64 c c) (pow.f64 b_2 3))
(*.f64 (/.f64 c (pow.f64 b_2 3)) c)
(/.f64 c (/.f64 (pow.f64 b_2 3) c))
(/.f64 (pow.f64 c 2) (pow.f64 b_2 3))
(/.f64 (*.f64 c c) (pow.f64 b_2 3))
(*.f64 (/.f64 c (pow.f64 b_2 3)) c)
(/.f64 c (/.f64 (pow.f64 b_2 3) c))
(/.f64 (pow.f64 c 2) (pow.f64 b_2 3))
(/.f64 (*.f64 c c) (pow.f64 b_2 3))
(*.f64 (/.f64 c (pow.f64 b_2 3)) c)
(/.f64 c (/.f64 (pow.f64 b_2 3) c))
(/.f64 (pow.f64 c 2) (pow.f64 b_2 3))
(/.f64 (*.f64 c c) (pow.f64 b_2 3))
(*.f64 (/.f64 c (pow.f64 b_2 3)) c)
(/.f64 c (/.f64 (pow.f64 b_2 3) c))
(/.f64 (pow.f64 c 2) (pow.f64 b_2 3))
(/.f64 (*.f64 c c) (pow.f64 b_2 3))
(*.f64 (/.f64 c (pow.f64 b_2 3)) c)
(/.f64 c (/.f64 (pow.f64 b_2 3) c))
(/.f64 (pow.f64 c 2) (pow.f64 b_2 3))
(/.f64 (*.f64 c c) (pow.f64 b_2 3))
(*.f64 (/.f64 c (pow.f64 b_2 3)) c)
(/.f64 c (/.f64 (pow.f64 b_2 3) c))
(/.f64 (pow.f64 c 2) (pow.f64 b_2 3))
(/.f64 (*.f64 c c) (pow.f64 b_2 3))
(*.f64 (/.f64 c (pow.f64 b_2 3)) c)
(/.f64 c (/.f64 (pow.f64 b_2 3) c))
(/.f64 (pow.f64 c 2) (pow.f64 b_2 3))
(/.f64 (*.f64 c c) (pow.f64 b_2 3))
(*.f64 (/.f64 c (pow.f64 b_2 3)) c)
(/.f64 c (/.f64 (pow.f64 b_2 3) c))
(/.f64 (pow.f64 c 2) (pow.f64 b_2 3))
(/.f64 (*.f64 c c) (pow.f64 b_2 3))
(*.f64 (/.f64 c (pow.f64 b_2 3)) c)
(/.f64 c (/.f64 (pow.f64 b_2 3) c))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (.f64 (.f64 c c) (*.f64 a a)) (pow.f64 b_2 3))
(.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (*.f64 a a))
(.f64 (.f64 (/.f64 c (pow.f64 b_2 3)) c) (*.f64 a a))
(.f64 (.f64 c c) (/.f64 (*.f64 a a) (pow.f64 b_2 3)))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (.f64 (.f64 c c) (*.f64 a a)) (pow.f64 b_2 3))
(.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (*.f64 a a))
(.f64 (.f64 (/.f64 c (pow.f64 b_2 3)) c) (*.f64 a a))
(.f64 (.f64 c c) (/.f64 (*.f64 a a) (pow.f64 b_2 3)))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (.f64 (.f64 c c) (*.f64 a a)) (pow.f64 b_2 3))
(.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (*.f64 a a))
(.f64 (.f64 (/.f64 c (pow.f64 b_2 3)) c) (*.f64 a a))
(.f64 (.f64 c c) (/.f64 (*.f64 a a) (pow.f64 b_2 3)))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (.f64 (.f64 c c) (*.f64 a a)) (pow.f64 b_2 3))
(.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (*.f64 a a))
(.f64 (.f64 (/.f64 c (pow.f64 b_2 3)) c) (*.f64 a a))
(.f64 (.f64 c c) (/.f64 (*.f64 a a) (pow.f64 b_2 3)))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (.f64 (.f64 c c) (*.f64 a a)) (pow.f64 b_2 3))
(.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (*.f64 a a))
(.f64 (.f64 (/.f64 c (pow.f64 b_2 3)) c) (*.f64 a a))
(.f64 (.f64 c c) (/.f64 (*.f64 a a) (pow.f64 b_2 3)))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (.f64 (.f64 c c) (*.f64 a a)) (pow.f64 b_2 3))
(.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (*.f64 a a))
(.f64 (.f64 (/.f64 c (pow.f64 b_2 3)) c) (*.f64 a a))
(.f64 (.f64 c c) (/.f64 (*.f64 a a) (pow.f64 b_2 3)))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (.f64 (.f64 c c) (*.f64 a a)) (pow.f64 b_2 3))
(.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (*.f64 a a))
(.f64 (.f64 (/.f64 c (pow.f64 b_2 3)) c) (*.f64 a a))
(.f64 (.f64 c c) (/.f64 (*.f64 a a) (pow.f64 b_2 3)))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (.f64 (.f64 c c) (*.f64 a a)) (pow.f64 b_2 3))
(.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (*.f64 a a))
(.f64 (.f64 (/.f64 c (pow.f64 b_2 3)) c) (*.f64 a a))
(.f64 (.f64 c c) (/.f64 (*.f64 a a) (pow.f64 b_2 3)))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (.f64 (.f64 c c) (*.f64 a a)) (pow.f64 b_2 3))
(.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (*.f64 a a))
(.f64 (.f64 (/.f64 c (pow.f64 b_2 3)) c) (*.f64 a a))
(.f64 (.f64 c c) (/.f64 (*.f64 a a) (pow.f64 b_2 3)))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (.f64 (.f64 c c) (*.f64 a a)) (pow.f64 b_2 3))
(.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (*.f64 a a))
(.f64 (.f64 (/.f64 c (pow.f64 b_2 3)) c) (*.f64 a a))
(.f64 (.f64 c c) (/.f64 (*.f64 a a) (pow.f64 b_2 3)))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (.f64 (.f64 c c) (*.f64 a a)) (pow.f64 b_2 3))
(.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (*.f64 a a))
(.f64 (.f64 (/.f64 c (pow.f64 b_2 3)) c) (*.f64 a a))
(.f64 (.f64 c c) (/.f64 (*.f64 a a) (pow.f64 b_2 3)))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (.f64 (.f64 c c) (*.f64 a a)) (pow.f64 b_2 3))
(.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (*.f64 a a))
(.f64 (.f64 (/.f64 c (pow.f64 b_2 3)) c) (*.f64 a a))
(.f64 (.f64 c c) (/.f64 (*.f64 a a) (pow.f64 b_2 3)))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (.f64 (.f64 c c) (*.f64 a a)) (pow.f64 b_2 3))
(.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (*.f64 a a))
(.f64 (.f64 (/.f64 c (pow.f64 b_2 3)) c) (*.f64 a a))
(.f64 (.f64 c c) (/.f64 (*.f64 a a) (pow.f64 b_2 3)))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (.f64 (.f64 c c) (*.f64 a a)) (pow.f64 b_2 3))
(.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (*.f64 a a))
(.f64 (.f64 (/.f64 c (pow.f64 b_2 3)) c) (*.f64 a a))
(.f64 (.f64 c c) (/.f64 (*.f64 a a) (pow.f64 b_2 3)))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (.f64 (.f64 c c) (*.f64 a a)) (pow.f64 b_2 3))
(.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (*.f64 a a))
(.f64 (.f64 (/.f64 c (pow.f64 b_2 3)) c) (*.f64 a a))
(.f64 (.f64 c c) (/.f64 (*.f64 a a) (pow.f64 b_2 3)))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (.f64 (.f64 c c) (*.f64 a a)) (pow.f64 b_2 3))
(.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (*.f64 a a))
(.f64 (.f64 (/.f64 c (pow.f64 b_2 3)) c) (*.f64 a a))
(.f64 (.f64 c c) (/.f64 (*.f64 a a) (pow.f64 b_2 3)))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (.f64 (.f64 c c) (*.f64 a a)) (pow.f64 b_2 3))
(.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (*.f64 a a))
(.f64 (.f64 (/.f64 c (pow.f64 b_2 3)) c) (*.f64 a a))
(.f64 (.f64 c c) (/.f64 (*.f64 a a) (pow.f64 b_2 3)))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (.f64 (.f64 c c) (*.f64 a a)) (pow.f64 b_2 3))
(.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (*.f64 a a))
(.f64 (.f64 (/.f64 c (pow.f64 b_2 3)) c) (*.f64 a a))
(.f64 (.f64 c c) (/.f64 (*.f64 a a) (pow.f64 b_2 3)))
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(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/2 (/.f64 c b_2) (.f64 -1/8 (.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) a)))
(fma.f64 -1/2 (/.f64 c b_2) (.f64 (.f64 (/.f64 c (pow.f64 b_2 3)) c) (*.f64 a -1/8)))
(fma.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a -1/8) (*.f64 c (/.f64 -1/2 b_2)))
(.f64 c (+.f64 (/.f64 -1/2 b_2) (.f64 -1/8 (/.f64 c (/.f64 (pow.f64 b_2 3) a)))))
(.f64 c (fma.f64 (/.f64 -1/8 (pow.f64 b_2 3)) (.f64 c a) (/.f64 -1/2 b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/2 (/.f64 c b_2) (.f64 -1/8 (.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) a)))
(fma.f64 -1/2 (/.f64 c b_2) (.f64 (.f64 (/.f64 c (pow.f64 b_2 3)) c) (*.f64 a -1/8)))
(fma.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a -1/8) (*.f64 c (/.f64 -1/2 b_2)))
(.f64 c (+.f64 (/.f64 -1/2 b_2) (.f64 -1/8 (/.f64 c (/.f64 (pow.f64 b_2 3) a)))))
(.f64 c (fma.f64 (/.f64 -1/8 (pow.f64 b_2 3)) (.f64 c a) (/.f64 -1/2 b_2)))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 c (/.f64 -1/2 b_2))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/2 (/.f64 c b_2) (.f64 -1/8 (.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) a)))
(fma.f64 -1/2 (/.f64 c b_2) (.f64 (.f64 (/.f64 c (pow.f64 b_2 3)) c) (*.f64 a -1/8)))
(fma.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a -1/8) (*.f64 c (/.f64 -1/2 b_2)))
(.f64 c (+.f64 (/.f64 -1/2 b_2) (.f64 -1/8 (/.f64 c (/.f64 (pow.f64 b_2 3) a)))))
(.f64 c (fma.f64 (/.f64 -1/8 (pow.f64 b_2 3)) (.f64 c a) (/.f64 -1/2 b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/2 (/.f64 c b_2) (.f64 -1/8 (.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) a)))
(fma.f64 -1/2 (/.f64 c b_2) (.f64 (.f64 (/.f64 c (pow.f64 b_2 3)) c) (*.f64 a -1/8)))
(fma.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a -1/8) (*.f64 c (/.f64 -1/2 b_2)))
(.f64 c (+.f64 (/.f64 -1/2 b_2) (.f64 -1/8 (/.f64 c (/.f64 (pow.f64 b_2 3) a)))))
(.f64 c (fma.f64 (/.f64 -1/8 (pow.f64 b_2 3)) (.f64 c a) (/.f64 -1/2 b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/2 (/.f64 c b_2) (.f64 -1/8 (.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) a)))
(fma.f64 -1/2 (/.f64 c b_2) (.f64 (.f64 (/.f64 c (pow.f64 b_2 3)) c) (*.f64 a -1/8)))
(fma.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a -1/8) (*.f64 c (/.f64 -1/2 b_2)))
(.f64 c (+.f64 (/.f64 -1/2 b_2) (.f64 -1/8 (/.f64 c (/.f64 (pow.f64 b_2 3) a)))))
(.f64 c (fma.f64 (/.f64 -1/8 (pow.f64 b_2 3)) (.f64 c a) (/.f64 -1/2 b_2)))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 c (/.f64 -1/2 b_2))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/2 (/.f64 c b_2) (.f64 -1/8 (.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) a)))
(fma.f64 -1/2 (/.f64 c b_2) (.f64 (.f64 (/.f64 c (pow.f64 b_2 3)) c) (*.f64 a -1/8)))
(fma.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a -1/8) (*.f64 c (/.f64 -1/2 b_2)))
(.f64 c (+.f64 (/.f64 -1/2 b_2) (.f64 -1/8 (/.f64 c (/.f64 (pow.f64 b_2 3) a)))))
(.f64 c (fma.f64 (/.f64 -1/8 (pow.f64 b_2 3)) (.f64 c a) (/.f64 -1/2 b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/2 (/.f64 c b_2) (.f64 -1/8 (.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) a)))
(fma.f64 -1/2 (/.f64 c b_2) (.f64 (.f64 (/.f64 c (pow.f64 b_2 3)) c) (*.f64 a -1/8)))
(fma.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a -1/8) (*.f64 c (/.f64 -1/2 b_2)))
(.f64 c (+.f64 (/.f64 -1/2 b_2) (.f64 -1/8 (/.f64 c (/.f64 (pow.f64 b_2 3) a)))))
(.f64 c (fma.f64 (/.f64 -1/8 (pow.f64 b_2 3)) (.f64 c a) (/.f64 -1/2 b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/2 (/.f64 c b_2) (.f64 -1/8 (.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) a)))
(fma.f64 -1/2 (/.f64 c b_2) (.f64 (.f64 (/.f64 c (pow.f64 b_2 3)) c) (*.f64 a -1/8)))
(fma.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a -1/8) (*.f64 c (/.f64 -1/2 b_2)))
(.f64 c (+.f64 (/.f64 -1/2 b_2) (.f64 -1/8 (/.f64 c (/.f64 (pow.f64 b_2 3) a)))))
(.f64 c (fma.f64 (/.f64 -1/8 (pow.f64 b_2 3)) (.f64 c a) (/.f64 -1/2 b_2)))

eval877.0ms (5.8%)

Compiler: Compiled 35081 to 17925 computations (48.9% saved)

prune435.0ms (2.9%)

Pruning

41 alts after pruning (36 fresh and 5 done)

	Pruned	Kept	Total
New	1156	19	1175
Fresh	7	17	24
Picked	1	0	1
Done	1	5	6
Total	1165	41	1206

Error

0.6b

Counts

1206 → 41

Alt Table

Click to see full alt table

Status	Error	Program
	44.2b	(fma.f64 c (/.f64 1/2 b_2) (*.f64 b_2 (/.f64 -2 a)))
▶	48.8b	(/.f64 (fma.f64 -1/8 (.f64 (.f64 a a) (.f64 (/.f64 c (.f64 b_2 b_2)) (/.f64 c b_2))) (.f64 -1/2 (/.f64 (.f64 c a) b_2))) a)
	47.8b	(/.f64 (/.f64 (-.f64 (.f64 b_2 b_2) (-.f64 (.f64 b_2 b_2) (.f64 a c))) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))) a)
	44.6b	(/.f64 (/.f64 (*.f64 b_2 -2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
	53.4b	(/.f64 (-.f64 (neg.f64 (pow.f64 (exp.f64 1/4) (*.f64 2 (+.f64 (log.f64 (neg.f64 a)) (log.f64 c))))) b_2) a)
	39.2b	(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/6) 3)) a)
	45.6b	(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (*.f64 c (neg.f64 a)) 1/4) 2)) a)
	45.1b	(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (sqrt.f64 b_2) 2)) a)
	53.2b	(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) 2)) a)
	52.9b	(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2)) a)
▶	36.4b	(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 3/2)) a)
	55.5b	(/.f64 (-.f64 (neg.f64 b_2) (-.f64 (/.f64 1/2 (/.f64 b_2 (*.f64 a c))) b_2)) a)
✓	35.4b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	45.6b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))) a)
	38.2b	(/.f64 (-.f64 (neg.f64 b_2) (exp.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))) a)
	53.1b	(/.f64 (-.f64 (neg.f64 b_2) (cbrt.f64 (pow.f64 (*.f64 c (neg.f64 a)) 3/2))) a)
	62.2b	(/.f64 (-.f64 (neg.f64 b_2) (cbrt.f64 (-.f64 (.f64 (.f64 a b_2) (*.f64 c 3/2)) (pow.f64 b_2 3)))) a)
	56.0b	(/.f64 (-.f64 (neg.f64 b_2) (cbrt.f64 (+.f64 (pow.f64 b_2 3) (.f64 -3/2 (.f64 c (*.f64 a b_2)))))) a)
▶	62.2b	(/.f64 (-.f64 (neg.f64 b_2) (cbrt.f64 (+.f64 (.f64 -1 (pow.f64 b_2 3)) (.f64 3/2 (.f64 c (.f64 a b_2)))))) a)
✓	45.9b	(/.f64 (+.f64 (.f64 -2 b_2) (/.f64 (.f64 1/2 (*.f64 c a)) b_2)) a)
	44.2b	(/.f64 (*.f64 b_2 -2) a)
	44.6b	(/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)
	45.6b	(/.f64 (neg.f64 (sqrt.f64 (*.f64 a (neg.f64 c)))) a)
	59.1b	(/.f64 (neg.f64 b_2) a)
	44.3b	(/.f64 1 (/.f64 a (*.f64 b_2 -2)))
	55.6b	(/.f64 1/2 (/.f64 b_2 c))
▶	55.3b	(/.f64 0 a)
▶	46.7b	(-.f64 (+.f64 1 (*.f64 b_2 (/.f64 -2 a))) 1)
	44.2b	(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
	54.8b	(.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (sqrt.f64 a)))
✓	47.3b	(.f64 (/.f64 1 a) (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))
	55.7b	(.f64 (/.f64 1 a) (.f64 (/.f64 1/2 (/.f64 b_2 c)) a))
	62.3b	(.f64 (/.f64 1 a) (.f64 b_2 2))
	39.7b	(*.f64 c (/.f64 -1/2 b_2))
✓	44.3b	(*.f64 b_2 (/.f64 -2 a))
	62.3b	(*.f64 2 (/.f64 b_2 a))
✓	39.6b	(*.f64 -1/2 (/.f64 c b_2))
	51.6b	(expm1.f64 (log1p.f64 (/.f64 (fma.f64 1/2 (.f64 (/.f64 c b_2) a) (.f64 -2 b_2)) a)))
	63.6b	(exp.f64 (log.f64 (/.f64 (-.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)) a)))
	54.2b	(exp.f64 (log.f64 (*.f64 b_2 (/.f64 -2 a))))
	55.7b	(cbrt.f64 (pow.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a) 3))

Compiler

Compiled 1146 to 816 computations (28.8% saved)

localize56.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(pow.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 3/2)
	0.6b	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	9.1b	(-.f64 (neg.f64 b_2) (pow.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 3/2))
	25.9b	(cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

Compiler

Compiled 68 to 18 computations (73.5% saved)

series22.0ms (0.1%)

Counts

2 → 26

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	c	@	0	(-.f64 (neg.f64 b_2) (pow.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 3/2))
3.0ms	a	@	0	(-.f64 (neg.f64 b_2) (pow.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 3/2))
2.0ms	b_2	@	0	(-.f64 (neg.f64 b_2) (pow.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 3/2))
2.0ms	b_2	@	0	(pow.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 3/2)
1.0ms	a	@	inf	(-.f64 (neg.f64 b_2) (pow.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 3/2))

rewrite80.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

615×	`fma-def_binary64`
587×	`log-prod_binary64`
323×	`pow2_binary64`
292×	`fma-neg_binary64`
218×	`expm1-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	35
1	278	27
2	3892	25

Stop Event

1×	node limit

Counts

2 → 140

Calls

Call 1

Inputs
(-.f64 (neg.f64 b_2) (pow.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 3/2))
(pow.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 3/2)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 b_2 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 b_2 (*.f64 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) (fma.f64 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) 1 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) (fma.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/6)) (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) (+.f64 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))))) (#(struct:change #<rule 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/6) (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 3/2) (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 2))) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/6) 3/2) (pow.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/6) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 4) (pow.f64 (*.f64 a c) 2))) (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 6) (pow.f64 (*.f64 a c) 3))) (sqrt.f64 (fma.f64 (*.f64 a c) (fma.f64 b_2 b_2 (*.f64 a c)) (pow.f64 b_2 4))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) (sqrt.f64 (fma.f64 a (neg.f64 c) (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (fma.f64 a (neg.f64 c) (*.f64 a c))) (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) 1))))))

simplify132.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

514×	`distribute-rgt-in_binary64`
513×	`distribute-lft-in_binary64`
492×	`associate-/r*_binary64`
316×	`associate-r_binary64`
246×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	212	2361
1	721	2090
2	2993	1706

Stop Event

1×	node limit

Counts

166 → 180

Calls

Call 1

Inputs
(.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)))
(+.f64 (.f64 -1 b_2) (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))))
(+.f64 (.f64 -1 b_2) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (sqrt.f64 -1) (pow.f64 b_2 2)))) (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)))))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (.f64 (sqrt.f64 -1) (.f64 (pow.f64 b_2 4) (+.f64 (.f64 1/16 (-.f64 (.f64 -4/3 (.f64 (/.f64 1 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (cbrt.f64 -1) 6)))) (pow.f64 1 1/3))) (.f64 8/3 (/.f64 1 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (cbrt.f64 -1) 6))))))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 c 2) (pow.f64 a 2))))))))) (+.f64 (.f64 -1 b_2) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (sqrt.f64 -1) (pow.f64 b_2 2)))) (.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1))))))
(*.f64 -1 b_2)
(*.f64 -1 b_2)
(*.f64 -1 (+.f64 b_2 (pow.f64 (pow.f64 (pow.f64 b_2 2) 1/3) 3/2)))
(+.f64 (.f64 -1 (+.f64 b_2 (pow.f64 (pow.f64 (pow.f64 b_2 2) 1/3) 3/2))) (.f64 1/2 (.f64 (.f64 c a) (pow.f64 (/.f64 1 b_2) 1/9))))
(+.f64 (.f64 -1 (+.f64 b_2 (pow.f64 (pow.f64 (pow.f64 b_2 2) 1/3) 3/2))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (.f64 (+.f64 (.f64 1/8 (.f64 (pow.f64 c 2) (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/9))) (.f64 3/4 (+.f64 (.f64 -1/9 (.f64 (pow.f64 c 2) (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/9))) (.f64 -2/9 (.f64 (pow.f64 c 2) (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/9)))))) b_2))) (.f64 1/2 (.f64 (.f64 c a) (pow.f64 (/.f64 1 b_2) 1/9)))))
(+.f64 (.f64 -1 (+.f64 b_2 (pow.f64 (pow.f64 (pow.f64 b_2 2) 1/3) 3/2))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (.f64 (+.f64 (.f64 -3/8 (.f64 (.f64 c (+.f64 (.f64 -1/9 (.f64 (pow.f64 c 2) (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/9))) (.f64 -2/9 (.f64 (pow.f64 c 2) (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/9))))) (pow.f64 (/.f64 1 (pow.f64 b_2 10)) 1/9))) (+.f64 (.f64 1/4 (+.f64 (.f64 -2/9 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 b_2 10)) 1/3)))) (+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 2/9 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/3)))) (.f64 -1/27 (.f64 (pow.f64 c 3) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/3)))) (pow.f64 b_2 2))) (.f64 -2/27 (.f64 (pow.f64 c 3) (pow.f64 (/.f64 1 (pow.f64 b_2 10)) 1/3)))))) (.f64 -1/48 (.f64 (pow.f64 c 3) (pow.f64 (/.f64 1 (pow.f64 b_2 10)) 1/3))))) b_2))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (.f64 (+.f64 (.f64 1/8 (.f64 (pow.f64 c 2) (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/9))) (.f64 3/4 (+.f64 (.f64 -1/9 (.f64 (pow.f64 c 2) (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/9))) (.f64 -2/9 (.f64 (pow.f64 c 2) (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/9)))))) b_2))) (.f64 1/2 (.f64 (.f64 c a) (pow.f64 (/.f64 1 b_2) 1/9))))))
(*.f64 -1 (+.f64 b_2 (pow.f64 (pow.f64 (pow.f64 b_2 2) 1/3) 3/2)))
(+.f64 (.f64 -1 (+.f64 b_2 (pow.f64 (pow.f64 (pow.f64 b_2 2) 1/3) 3/2))) (.f64 1/2 (.f64 (.f64 c a) (pow.f64 (/.f64 1 b_2) 1/9))))
(+.f64 (.f64 -1 (.f64 (pow.f64 c 2) (.f64 b_2 (+.f64 (.f64 1/8 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/9) (pow.f64 a 2))) (.f64 3/4 (+.f64 (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/9) (pow.f64 a 2))) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/9) (pow.f64 a 2))))))))) (+.f64 (.f64 -1 (+.f64 b_2 (pow.f64 (pow.f64 (pow.f64 b_2 2) 1/3) 3/2))) (.f64 1/2 (.f64 (.f64 c a) (pow.f64 (/.f64 1 b_2) 1/9)))))
(+.f64 (.f64 -1 (.f64 (pow.f64 c 2) (.f64 b_2 (+.f64 (.f64 1/8 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/9) (pow.f64 a 2))) (.f64 3/4 (+.f64 (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/9) (pow.f64 a 2))) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/9) (pow.f64 a 2))))))))) (+.f64 (.f64 -1 (+.f64 b_2 (pow.f64 (pow.f64 (pow.f64 b_2 2) 1/3) 3/2))) (+.f64 (.f64 1/2 (.f64 (.f64 c a) (pow.f64 (/.f64 1 b_2) 1/9))) (.f64 -1 (.f64 (pow.f64 c 3) (.f64 b_2 (+.f64 (.f64 -1/48 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 10)) 1/3) (pow.f64 a 3))) (+.f64 (.f64 1/4 (+.f64 (.f64 -2/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 10)) 1/3) (pow.f64 a 3))) (+.f64 (.f64 -2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 a 3) (pow.f64 (/.f64 1 (pow.f64 b_2 10)) 1/3)))) (.f64 -2 (/.f64 (+.f64 (.f64 -1/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/3) (pow.f64 a 3))) (.f64 2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 a 3) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/3))))) (pow.f64 b_2 2)))))) (.f64 -3/8 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 10)) 1/9) (.f64 a (+.f64 (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/9) (pow.f64 a 2))) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/9) (pow.f64 a 2)))))))))))))))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (sqrt.f64 -1) (pow.f64 b_2 2)))))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (.f64 (sqrt.f64 -1) (.f64 (pow.f64 b_2 4) (+.f64 (.f64 1/16 (-.f64 (.f64 -4/3 (.f64 (/.f64 1 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (cbrt.f64 -1) 6)))) (pow.f64 1 1/3))) (.f64 8/3 (/.f64 1 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (cbrt.f64 -1) 6))))))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 c 2) (pow.f64 a 2)))))))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (sqrt.f64 -1) (pow.f64 b_2 2))))))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (.f64 (sqrt.f64 -1) (.f64 (pow.f64 b_2 4) (+.f64 (.f64 1/16 (-.f64 (.f64 -4/3 (.f64 (/.f64 1 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (cbrt.f64 -1) 6)))) (pow.f64 1 1/3))) (.f64 8/3 (/.f64 1 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (cbrt.f64 -1) 6))))))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 c 2) (pow.f64 a 2)))))))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (sqrt.f64 -1) (pow.f64 b_2 2)))) (.f64 (sqrt.f64 (.f64 c a)) (.f64 (sqrt.f64 -1) (.f64 (-.f64 (+.f64 (.f64 -1/32 (/.f64 (-.f64 (.f64 -4/3 (.f64 (/.f64 1 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (cbrt.f64 -1) 6)))) (pow.f64 1 1/3))) (.f64 8/3 (/.f64 1 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (cbrt.f64 -1) 6)))))) (.f64 c a))) (.f64 1/480 (+.f64 (.f64 160/3 (/.f64 1 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (cbrt.f64 -1) 9))))) (.f64 80/3 (.f64 (/.f64 1 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (cbrt.f64 -1) 9)))) (pow.f64 1 1/3)))))) (.f64 1/48 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3))))) (pow.f64 b_2 6)))))))
b_2
(+.f64 (.f64 -1/2 (.f64 (*.f64 c a) (pow.f64 (/.f64 1 b_2) 1/9))) b_2)
(+.f64 (.f64 (pow.f64 a 2) (.f64 (+.f64 (.f64 1/8 (.f64 (pow.f64 c 2) (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/9))) (.f64 3/4 (+.f64 (.f64 -1/9 (.f64 (pow.f64 c 2) (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/9))) (.f64 -2/9 (.f64 (pow.f64 c 2) (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/9)))))) b_2)) (+.f64 (.f64 -1/2 (.f64 (.f64 c a) (pow.f64 (/.f64 1 b_2) 1/9))) b_2))
(+.f64 (.f64 (pow.f64 a 2) (.f64 (+.f64 (.f64 1/8 (.f64 (pow.f64 c 2) (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/9))) (.f64 3/4 (+.f64 (.f64 -1/9 (.f64 (pow.f64 c 2) (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/9))) (.f64 -2/9 (.f64 (pow.f64 c 2) (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/9)))))) b_2)) (+.f64 (.f64 (pow.f64 a 3) (.f64 (+.f64 (.f64 -3/8 (.f64 (.f64 c (+.f64 (.f64 -1/9 (.f64 (pow.f64 c 2) (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/9))) (.f64 -2/9 (.f64 (pow.f64 c 2) (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/9))))) (pow.f64 (/.f64 1 (pow.f64 b_2 10)) 1/9))) (+.f64 (.f64 1/4 (+.f64 (.f64 -2/9 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 b_2 10)) 1/3)))) (+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 2/9 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/3)))) (.f64 -1/27 (.f64 (pow.f64 c 3) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/3)))) (pow.f64 b_2 2))) (.f64 -2/27 (.f64 (pow.f64 c 3) (pow.f64 (/.f64 1 (pow.f64 b_2 10)) 1/3)))))) (.f64 -1/48 (.f64 (pow.f64 c 3) (pow.f64 (/.f64 1 (pow.f64 b_2 10)) 1/3))))) b_2)) (+.f64 (.f64 -1/2 (.f64 (*.f64 c a) (pow.f64 (/.f64 1 b_2) 1/9))) b_2)))
b_2
(+.f64 (.f64 -1/2 (.f64 (*.f64 c a) (pow.f64 (/.f64 1 b_2) 1/9))) b_2)
(+.f64 (.f64 -1/2 (.f64 (.f64 c a) (pow.f64 (/.f64 1 b_2) 1/9))) (+.f64 b_2 (.f64 (pow.f64 c 2) (.f64 b_2 (+.f64 (.f64 1/8 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/9) (pow.f64 a 2))) (.f64 3/4 (+.f64 (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/9) (pow.f64 a 2))) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/9) (pow.f64 a 2))))))))))
(+.f64 (.f64 -1/2 (.f64 (.f64 c a) (pow.f64 (/.f64 1 b_2) 1/9))) (+.f64 b_2 (+.f64 (.f64 (pow.f64 c 3) (.f64 b_2 (+.f64 (.f64 -1/48 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 10)) 1/3) (pow.f64 a 3))) (+.f64 (.f64 1/4 (+.f64 (.f64 -2/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 10)) 1/3) (pow.f64 a 3))) (+.f64 (.f64 -2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 a 3) (pow.f64 (/.f64 1 (pow.f64 b_2 10)) 1/3)))) (.f64 -2 (/.f64 (+.f64 (.f64 -1/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/3) (pow.f64 a 3))) (.f64 2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 a 3) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/3))))) (pow.f64 b_2 2)))))) (.f64 -3/8 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 10)) 1/9) (.f64 a (+.f64 (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/9) (pow.f64 a 2))) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/9) (pow.f64 a 2))))))))))) (.f64 (pow.f64 c 2) (.f64 b_2 (+.f64 (.f64 1/8 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/9) (pow.f64 a 2))) (.f64 3/4 (+.f64 (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/9) (pow.f64 a 2))) (.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/9) (pow.f64 a 2)))))))))))

Outputs
(.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)))
(neg.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)))
(.f64 (sqrt.f64 (.f64 c a)) (neg.f64 (sqrt.f64 -1)))
(+.f64 (.f64 -1 b_2) (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))))
(.f64 -1 (+.f64 b_2 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1))))
(-.f64 (neg.f64 b_2) (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)))
(+.f64 (.f64 -1 b_2) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (sqrt.f64 -1) (pow.f64 b_2 2)))) (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)))))
(fma.f64 -1 b_2 (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (.f64 (sqrt.f64 -1) (.f64 b_2 b_2))) (neg.f64 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)))))
(-.f64 (-.f64 (.f64 1/2 (.f64 (sqrt.f64 -1) (.f64 (.f64 b_2 b_2) (sqrt.f64 (/.f64 1 (.f64 c a)))))) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1))) b_2)
(-.f64 (.f64 (sqrt.f64 -1) (-.f64 (.f64 (.f64 1/2 (sqrt.f64 (/.f64 (/.f64 1 c) a))) (.f64 b_2 b_2)) (sqrt.f64 (*.f64 c a)))) b_2)
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (.f64 (sqrt.f64 -1) (.f64 (pow.f64 b_2 4) (+.f64 (.f64 1/16 (-.f64 (.f64 -4/3 (.f64 (/.f64 1 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (cbrt.f64 -1) 6)))) (pow.f64 1 1/3))) (.f64 8/3 (/.f64 1 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (cbrt.f64 -1) 6))))))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 c 2) (pow.f64 a 2))))))))) (+.f64 (.f64 -1 b_2) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (sqrt.f64 -1) (pow.f64 b_2 2)))) (.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1))))))
(fma.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (.f64 (sqrt.f64 -1) (.f64 (pow.f64 b_2 4) (fma.f64 1/16 (fma.f64 -4/3 (/.f64 1 (.f64 (.f64 c c) (.f64 (.f64 a a) (pow.f64 (cbrt.f64 -1) 6)))) (neg.f64 (/.f64 8/3 (.f64 (.f64 c c) (.f64 (.f64 a a) (pow.f64 (cbrt.f64 -1) 6)))))) (/.f64 1/8 (.f64 (.f64 c c) (.f64 a a))))))) (fma.f64 -1 b_2 (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (.f64 (sqrt.f64 -1) (.f64 b_2 b_2))) (neg.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))))))
(-.f64 (-.f64 (-.f64 (.f64 1/2 (.f64 (sqrt.f64 -1) (.f64 (.f64 b_2 b_2) (sqrt.f64 (/.f64 1 (.f64 c a)))))) (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))) b_2) (.f64 (sqrt.f64 (.f64 c a)) (.f64 (sqrt.f64 -1) (.f64 (pow.f64 b_2 4) (fma.f64 1/16 (.f64 (/.f64 1 (.f64 1 (.f64 (.f64 c c) (.f64 a a)))) -4) (/.f64 1/8 (.f64 (.f64 c c) (*.f64 a a))))))))
(+.f64 (-.f64 (.f64 1/2 (.f64 (sqrt.f64 -1) (.f64 (.f64 b_2 b_2) (sqrt.f64 (/.f64 (/.f64 1 c) a))))) b_2) (.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 -1 (.f64 (fma.f64 1/16 (/.f64 -4 (.f64 c (.f64 c (.f64 a a)))) (/.f64 (/.f64 (/.f64 1/8 (.f64 c c)) a) a)) (neg.f64 (pow.f64 b_2 4))))))
(*.f64 -1 b_2)
(neg.f64 b_2)
(*.f64 -1 b_2)
(neg.f64 b_2)
(*.f64 -1 (+.f64 b_2 (pow.f64 (pow.f64 (pow.f64 b_2 2) 1/3) 3/2)))
(neg.f64 (+.f64 b_2 (pow.f64 (cbrt.f64 (*.f64 b_2 b_2)) 3/2)))
(-.f64 (neg.f64 b_2) (pow.f64 (cbrt.f64 (*.f64 b_2 b_2)) 3/2))
(+.f64 (.f64 -1 (+.f64 b_2 (pow.f64 (pow.f64 (pow.f64 b_2 2) 1/3) 3/2))) (.f64 1/2 (.f64 (.f64 c a) (pow.f64 (/.f64 1 b_2) 1/9))))
(fma.f64 -1 (+.f64 b_2 (pow.f64 (cbrt.f64 (.f64 b_2 b_2)) 3/2)) (.f64 1/2 (.f64 (.f64 c a) (*.f64 (pow.f64 (/.f64 1 b_2) 1/18) (pow.f64 (/.f64 1 b_2) 1/18)))))
(-.f64 (.f64 1/2 (.f64 (pow.f64 (/.f64 1 b_2) 1/18) (.f64 (pow.f64 (/.f64 1 b_2) 1/18) (.f64 c a)))) (+.f64 b_2 (pow.f64 (cbrt.f64 (*.f64 b_2 b_2)) 3/2)))
(-.f64 (.f64 (.f64 (.f64 (.f64 1/2 c) a) (pow.f64 (/.f64 1 b_2) 1/18)) (pow.f64 (/.f64 1 b_2) 1/18)) (+.f64 b_2 (pow.f64 (cbrt.f64 (*.f64 b_2 b_2)) 3/2)))
(+.f64 (.f64 -1 (+.f64 b_2 (pow.f64 (pow.f64 (pow.f64 b_2 2) 1/3) 3/2))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (.f64 (+.f64 (.f64 1/8 (.f64 (pow.f64 c 2) (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/9))) (.f64 3/4 (+.f64 (.f64 -1/9 (.f64 (pow.f64 c 2) (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/9))) (.f64 -2/9 (.f64 (pow.f64 c 2) (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/9)))))) b_2))) (.f64 1/2 (.f64 (.f64 c a) (pow.f64 (/.f64 1 b_2) 1/9)))))
(fma.f64 -1 (+.f64 b_2 (pow.f64 (cbrt.f64 (.f64 b_2 b_2)) 3/2)) (fma.f64 -1 (.f64 (.f64 a a) (.f64 b_2 (fma.f64 1/8 (.f64 (.f64 c c) (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18))) (.f64 3/4 (.f64 (.f64 (.f64 c c) (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18))) -1/3))))) (.f64 1/2 (.f64 (.f64 c a) (.f64 (pow.f64 (/.f64 1 b_2) 1/18) (pow.f64 (/.f64 1 b_2) 1/18))))))
(-.f64 (-.f64 (.f64 1/2 (.f64 (pow.f64 (/.f64 1 b_2) 1/18) (.f64 (pow.f64 (/.f64 1 b_2) 1/18) (.f64 c a)))) (.f64 (.f64 a a) (.f64 b_2 (fma.f64 1/8 (.f64 c (.f64 c (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18)))) (.f64 (.f64 c (.f64 c (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18)))) -1/4))))) (+.f64 b_2 (pow.f64 (cbrt.f64 (*.f64 b_2 b_2)) 3/2)))
(-.f64 (.f64 (.f64 (.f64 (.f64 1/2 c) a) (pow.f64 (/.f64 1 b_2) 1/18)) (pow.f64 (/.f64 1 b_2) 1/18)) (+.f64 (+.f64 b_2 (pow.f64 (cbrt.f64 (.f64 b_2 b_2)) 3/2)) (.f64 (.f64 (.f64 c (.f64 c (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18)))) -1/8) (.f64 b_2 (.f64 a a)))))
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b_2
(+.f64 (.f64 -1/2 (.f64 (*.f64 c a) (pow.f64 (/.f64 1 b_2) 1/9))) b_2)
(fma.f64 -1/2 (.f64 (.f64 c a) (*.f64 (pow.f64 (/.f64 1 b_2) 1/18) (pow.f64 (/.f64 1 b_2) 1/18))) b_2)
(fma.f64 (.f64 (pow.f64 (/.f64 1 b_2) 1/18) (.f64 (pow.f64 (/.f64 1 b_2) 1/18) (*.f64 c a))) -1/2 b_2)
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(fma.f64 (.f64 a a) (.f64 b_2 (.f64 (.f64 c (.f64 c (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18)))) -1/8)) (fma.f64 (.f64 (pow.f64 (/.f64 1 b_2) 1/18) (.f64 (pow.f64 (/.f64 1 b_2) 1/18) (*.f64 c a))) -1/2 b_2))
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b_2
(+.f64 (.f64 -1/2 (.f64 (*.f64 c a) (pow.f64 (/.f64 1 b_2) 1/9))) b_2)
(fma.f64 -1/2 (.f64 (.f64 c a) (*.f64 (pow.f64 (/.f64 1 b_2) 1/18) (pow.f64 (/.f64 1 b_2) 1/18))) b_2)
(fma.f64 (.f64 (pow.f64 (/.f64 1 b_2) 1/18) (.f64 (pow.f64 (/.f64 1 b_2) 1/18) (*.f64 c a))) -1/2 b_2)
(+.f64 (.f64 -1/2 (.f64 (.f64 c a) (pow.f64 (/.f64 1 b_2) 1/9))) (+.f64 b_2 (.f64 (pow.f64 c 2) (.f64 b_2 (+.f64 (.f64 1/8 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/9) (pow.f64 a 2))) (.f64 3/4 (+.f64 (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/9) (pow.f64 a 2))) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/9) (pow.f64 a 2))))))))))
(+.f64 (fma.f64 -1/2 (.f64 (.f64 c a) (.f64 (pow.f64 (/.f64 1 b_2) 1/18) (pow.f64 (/.f64 1 b_2) 1/18))) b_2) (.f64 (.f64 c c) (.f64 b_2 (fma.f64 1/8 (.f64 (.f64 a a) (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18))) (.f64 3/4 (.f64 (.f64 (.f64 a a) (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18))) -1/3))))))
(fma.f64 (.f64 (pow.f64 (/.f64 1 b_2) 1/18) (.f64 (pow.f64 (/.f64 1 b_2) 1/18) (.f64 c a))) -1/2 (fma.f64 (.f64 b_2 (.f64 c c)) (fma.f64 1/8 (.f64 (.f64 a a) (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18))) (.f64 (.f64 (.f64 a a) (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18))) -1/4)) b_2))
(fma.f64 (.f64 (pow.f64 (/.f64 1 b_2) 1/18) (.f64 (pow.f64 (/.f64 1 b_2) 1/18) (.f64 c a))) -1/2 (fma.f64 (.f64 b_2 (.f64 c c)) (.f64 (.f64 (.f64 a a) (*.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18))) -1/8) b_2))
(+.f64 (.f64 -1/2 (.f64 (.f64 c a) (pow.f64 (/.f64 1 b_2) 1/9))) (+.f64 b_2 (+.f64 (.f64 (pow.f64 c 3) (.f64 b_2 (+.f64 (.f64 -1/48 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 10)) 1/3) (pow.f64 a 3))) (+.f64 (.f64 1/4 (+.f64 (.f64 -2/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 10)) 1/3) (pow.f64 a 3))) (+.f64 (.f64 -2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 a 3) (pow.f64 (/.f64 1 (pow.f64 b_2 10)) 1/3)))) (.f64 -2 (/.f64 (+.f64 (.f64 -1/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/3) (pow.f64 a 3))) (.f64 2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 a 3) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/3))))) (pow.f64 b_2 2)))))) (.f64 -3/8 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 10)) 1/9) (.f64 a (+.f64 (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/9) (pow.f64 a 2))) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/9) (pow.f64 a 2))))))))))) (.f64 (pow.f64 c 2) (.f64 b_2 (+.f64 (.f64 1/8 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/9) (pow.f64 a 2))) (.f64 3/4 (+.f64 (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/9) (pow.f64 a 2))) (.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/9) (pow.f64 a 2)))))))))))
(+.f64 (fma.f64 -1/2 (.f64 (.f64 c a) (.f64 (pow.f64 (/.f64 1 b_2) 1/18) (pow.f64 (/.f64 1 b_2) 1/18))) b_2) (fma.f64 (pow.f64 c 3) (.f64 b_2 (fma.f64 -1/48 (.f64 (pow.f64 a 3) (cbrt.f64 (/.f64 1 (pow.f64 b_2 10)))) (fma.f64 1/4 (fma.f64 -2/27 (.f64 (pow.f64 a 3) (cbrt.f64 (/.f64 1 (pow.f64 b_2 10)))) (+.f64 (.f64 -2/9 (.f64 (pow.f64 a 3) (cbrt.f64 (/.f64 1 (pow.f64 b_2 10))))) (.f64 -2 (/.f64 (fma.f64 -1/27 (.f64 (pow.f64 a 3) (cbrt.f64 (/.f64 1 (pow.f64 b_2 4)))) (.f64 2/9 (.f64 (pow.f64 a 3) (cbrt.f64 (/.f64 1 (pow.f64 b_2 4)))))) (.f64 b_2 b_2))))) (.f64 -3/8 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 10)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 10)) 1/18)) (.f64 a (.f64 (.f64 (.f64 a a) (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18))) -1/3))))))) (.f64 (.f64 c c) (.f64 b_2 (fma.f64 1/8 (.f64 (.f64 a a) (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18))) (.f64 3/4 (.f64 (.f64 (.f64 a a) (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18))) -1/3)))))))
(+.f64 (fma.f64 (.f64 (pow.f64 (/.f64 1 b_2) 1/18) (.f64 (pow.f64 (/.f64 1 b_2) 1/18) (.f64 c a))) -1/2 b_2) (fma.f64 (pow.f64 c 3) (.f64 b_2 (fma.f64 -1/48 (.f64 (pow.f64 a 3) (cbrt.f64 (/.f64 1 (pow.f64 b_2 10)))) (fma.f64 -3/8 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 10)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 10)) 1/18)) (.f64 (.f64 (.f64 a a) (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18))) (.f64 -1/3 a))) (.f64 1/4 (+.f64 (.f64 -2 (/.f64 (.f64 (.f64 (pow.f64 a 3) (cbrt.f64 (/.f64 1 (pow.f64 b_2 4)))) 5/27) (.f64 b_2 b_2))) (.f64 (.f64 (pow.f64 a 3) (cbrt.f64 (/.f64 1 (pow.f64 b_2 10)))) -8/27)))))) (.f64 (.f64 c c) (.f64 b_2 (fma.f64 1/8 (.f64 (.f64 a a) (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18))) (.f64 (.f64 (.f64 a a) (*.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18))) -1/4))))))
(+.f64 (fma.f64 (.f64 (pow.f64 (/.f64 1 b_2) 1/18) (.f64 (pow.f64 (/.f64 1 b_2) 1/18) (.f64 c a))) -1/2 b_2) (.f64 b_2 (+.f64 (.f64 (.f64 c c) (.f64 (.f64 (.f64 a a) (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18))) -1/8)) (.f64 (pow.f64 c 3) (fma.f64 -1/48 (.f64 (pow.f64 a 3) (cbrt.f64 (/.f64 1 (pow.f64 b_2 10)))) (fma.f64 1/4 (+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 a 3) (cbrt.f64 (/.f64 1 (pow.f64 b_2 4)))) (/.f64 (.f64 b_2 b_2) 5/27))) (.f64 (.f64 (pow.f64 a 3) (cbrt.f64 (/.f64 1 (pow.f64 b_2 10)))) -8/27)) (.f64 (.f64 (pow.f64 a 3) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18)) -1/3)) (.f64 -3/8 (*.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 10)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 10)) 1/18))))))))))

localize4.0ms (0%)

Compiler: Compiled 8 to 6 computations (25% saved)

localize14.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.2b	(*.f64 b_2 (/.f64 -2 a))
✓	2.7b	(-.f64 (+.f64 1 (*.f64 b_2 (/.f64 -2 a))) 1)

Compiler

Compiled 31 to 22 computations (29% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite197.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

993×	`pow1_binary64`
931×	`add-log-exp_binary64`
929×	`log1p-expm1-u_binary64`
929×	`expm1-log1p-u_binary64`
104×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	204	7
2	2783	7

Stop Event

1×	node limit

Counts

1 → 62

Calls

Call 1

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

Outputs

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

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`associate-/l*_binary64`
1×	`associate-*r/_binary64`
1×	`associate-*l/_binary64`
1×	`associate-/r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	168
1	9	168
2	13	168
3	17	168
4	18	168

Stop Event

1×

saturated

Counts

86 → 63

Calls

Call 1

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

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

localize48.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	6.6b	(/.f64 (fma.f64 -1/8 (.f64 (.f64 a a) (.f64 (/.f64 c (.f64 b_2 b_2)) (/.f64 c b_2))) (.f64 -1/2 (/.f64 (.f64 c a) b_2))) a)
✓	7.7b	(/.f64 c (*.f64 b_2 b_2))
✓	8.1b	(fma.f64 -1/8 (.f64 (.f64 a a) (.f64 (/.f64 c (.f64 b_2 b_2)) (/.f64 c b_2))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
✓	15.8b	(.f64 (.f64 a a) (.f64 (/.f64 c (.f64 b_2 b_2)) (/.f64 c b_2)))

Compiler

Compiled 105 to 24 computations (77.1% saved)

series12.0ms (0.1%)

Counts

4 → 132

Calls

33 calls:

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

rewrite130.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

332×	`log-div_binary64`
323×	`expm1-udef_binary64`
323×	`log1p-udef_binary64`
287×	`prod-diff_binary64`
275×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	93
1	370	75
2	5256	75

Stop Event

1×	node limit

Counts

4 → 128

Calls

Call 1

Inputs
(.f64 (.f64 a a) (.f64 (/.f64 c (.f64 b_2 b_2)) (/.f64 c b_2)))
(fma.f64 -1/8 (.f64 (.f64 a a) (.f64 (/.f64 c (.f64 b_2 b_2)) (/.f64 c b_2))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(/.f64 c (*.f64 b_2 b_2))
(/.f64 (fma.f64 -1/8 (.f64 (.f64 a a) (.f64 (/.f64 c (.f64 b_2 b_2)) (/.f64 c b_2))) (.f64 -1/2 (/.f64 (.f64 c a) b_2))) a)

Outputs
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simplify106.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

872×	`unswap-sqr_binary64`
712×	`associate-/r*_binary64`
629×	`associate-r_binary64`
598×	`associate-l_binary64`
586×	`associate-*l/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	26	2391
1	69	2391
2	213	2391
3	1089	2310
4	6694	2310

Stop Event

1×	node limit

Counts

260 → 144

Calls

Call 1

Inputs
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(/.f64 c (pow.f64 b_2 2))
(/.f64 c (pow.f64 b_2 2))
(/.f64 c (pow.f64 b_2 2))
(/.f64 c (pow.f64 b_2 2))
(/.f64 c (pow.f64 b_2 2))
(/.f64 c (pow.f64 b_2 2))
(/.f64 c (pow.f64 b_2 2))
(/.f64 c (pow.f64 b_2 2))
(/.f64 c (pow.f64 b_2 2))
(/.f64 c (pow.f64 b_2 2))
(/.f64 c (pow.f64 b_2 2))
(/.f64 c (pow.f64 b_2 2))
(/.f64 c (pow.f64 b_2 2))
(/.f64 c (pow.f64 b_2 2))
(/.f64 c (pow.f64 b_2 2))
(/.f64 c (pow.f64 b_2 2))
(/.f64 c (pow.f64 b_2 2))
(/.f64 c (pow.f64 b_2 2))
(/.f64 c (pow.f64 b_2 2))
(/.f64 c (pow.f64 b_2 2))
(/.f64 c (pow.f64 b_2 2))
(/.f64 c (pow.f64 b_2 2))
(/.f64 c (pow.f64 b_2 2))
(/.f64 c (pow.f64 b_2 2))
(*.f64 -1/2 (/.f64 c b_2))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(*.f64 -1/2 (/.f64 c b_2))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(*.f64 -1/2 (/.f64 c b_2))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(*.f64 -1/2 (/.f64 c b_2))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))

Outputs
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a)))
(.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (*.f64 a a))
(/.f64 c (/.f64 (pow.f64 b_2 3) (.f64 c (.f64 a a))))
(.f64 (.f64 c c) (/.f64 (*.f64 a a) (pow.f64 b_2 3)))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a)))
(.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (*.f64 a a))
(/.f64 c (/.f64 (pow.f64 b_2 3) (.f64 c (.f64 a a))))
(.f64 (.f64 c c) (/.f64 (*.f64 a a) (pow.f64 b_2 3)))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a)))
(.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (*.f64 a a))
(/.f64 c (/.f64 (pow.f64 b_2 3) (.f64 c (.f64 a a))))
(.f64 (.f64 c c) (/.f64 (*.f64 a a) (pow.f64 b_2 3)))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a)))
(.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (*.f64 a a))
(/.f64 c (/.f64 (pow.f64 b_2 3) (.f64 c (.f64 a a))))
(.f64 (.f64 c c) (/.f64 (*.f64 a a) (pow.f64 b_2 3)))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a)))
(.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (*.f64 a a))
(/.f64 c (/.f64 (pow.f64 b_2 3) (.f64 c (.f64 a a))))
(.f64 (.f64 c c) (/.f64 (*.f64 a a) (pow.f64 b_2 3)))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a)))
(.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (*.f64 a a))
(/.f64 c (/.f64 (pow.f64 b_2 3) (.f64 c (.f64 a a))))
(.f64 (.f64 c c) (/.f64 (*.f64 a a) (pow.f64 b_2 3)))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a)))
(.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (*.f64 a a))
(/.f64 c (/.f64 (pow.f64 b_2 3) (.f64 c (.f64 a a))))
(.f64 (.f64 c c) (/.f64 (*.f64 a a) (pow.f64 b_2 3)))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a)))
(.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (*.f64 a a))
(/.f64 c (/.f64 (pow.f64 b_2 3) (.f64 c (.f64 a a))))
(.f64 (.f64 c c) (/.f64 (*.f64 a a) (pow.f64 b_2 3)))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a)))
(.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (*.f64 a a))
(/.f64 c (/.f64 (pow.f64 b_2 3) (.f64 c (.f64 a a))))
(.f64 (.f64 c c) (/.f64 (*.f64 a a) (pow.f64 b_2 3)))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a)))
(.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (*.f64 a a))
(/.f64 c (/.f64 (pow.f64 b_2 3) (.f64 c (.f64 a a))))
(.f64 (.f64 c c) (/.f64 (*.f64 a a) (pow.f64 b_2 3)))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a)))
(.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (*.f64 a a))
(/.f64 c (/.f64 (pow.f64 b_2 3) (.f64 c (.f64 a a))))
(.f64 (.f64 c c) (/.f64 (*.f64 a a) (pow.f64 b_2 3)))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a)))
(.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (*.f64 a a))
(/.f64 c (/.f64 (pow.f64 b_2 3) (.f64 c (.f64 a a))))
(.f64 (.f64 c c) (/.f64 (*.f64 a a) (pow.f64 b_2 3)))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a)))
(.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (*.f64 a a))
(/.f64 c (/.f64 (pow.f64 b_2 3) (.f64 c (.f64 a a))))
(.f64 (.f64 c c) (/.f64 (*.f64 a a) (pow.f64 b_2 3)))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a)))
(.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (*.f64 a a))
(/.f64 c (/.f64 (pow.f64 b_2 3) (.f64 c (.f64 a a))))
(.f64 (.f64 c c) (/.f64 (*.f64 a a) (pow.f64 b_2 3)))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a)))
(.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (*.f64 a a))
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(.f64 (.f64 c c) (/.f64 (*.f64 a a) (pow.f64 b_2 3)))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a)))
(.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (*.f64 a a))
(/.f64 c (/.f64 (pow.f64 b_2 3) (.f64 c (.f64 a a))))
(.f64 (.f64 c c) (/.f64 (*.f64 a a) (pow.f64 b_2 3)))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a)))
(.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (*.f64 a a))
(/.f64 c (/.f64 (pow.f64 b_2 3) (.f64 c (.f64 a a))))
(.f64 (.f64 c c) (/.f64 (*.f64 a a) (pow.f64 b_2 3)))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a)))
(.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (*.f64 a a))
(/.f64 c (/.f64 (pow.f64 b_2 3) (.f64 c (.f64 a a))))
(.f64 (.f64 c c) (/.f64 (*.f64 a a) (pow.f64 b_2 3)))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a)))
(.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (*.f64 a a))
(/.f64 c (/.f64 (pow.f64 b_2 3) (.f64 c (.f64 a a))))
(.f64 (.f64 c c) (/.f64 (*.f64 a a) (pow.f64 b_2 3)))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a)))
(.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (*.f64 a a))
(/.f64 c (/.f64 (pow.f64 b_2 3) (.f64 c (.f64 a a))))
(.f64 (.f64 c c) (/.f64 (*.f64 a a) (pow.f64 b_2 3)))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a)))
(.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (*.f64 a a))
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(.f64 (.f64 c c) (/.f64 (*.f64 a a) (pow.f64 b_2 3)))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a)))
(.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (*.f64 a a))
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(.f64 (.f64 c c) (/.f64 (*.f64 a a) (pow.f64 b_2 3)))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a)))
(.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (*.f64 a a))
(/.f64 c (/.f64 (pow.f64 b_2 3) (.f64 c (.f64 a a))))
(.f64 (.f64 c c) (/.f64 (*.f64 a a) (pow.f64 b_2 3)))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a)))
(.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (*.f64 a a))
(/.f64 c (/.f64 (pow.f64 b_2 3) (.f64 c (.f64 a a))))
(.f64 (.f64 c c) (/.f64 (*.f64 a a) (pow.f64 b_2 3)))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a)))
(.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (*.f64 a a))
(/.f64 c (/.f64 (pow.f64 b_2 3) (.f64 c (.f64 a a))))
(.f64 (.f64 c c) (/.f64 (*.f64 a a) (pow.f64 b_2 3)))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a)))
(.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (*.f64 a a))
(/.f64 c (/.f64 (pow.f64 b_2 3) (.f64 c (.f64 a a))))
(.f64 (.f64 c c) (/.f64 (*.f64 a a) (pow.f64 b_2 3)))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a)))
(.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (*.f64 a a))
(/.f64 c (/.f64 (pow.f64 b_2 3) (.f64 c (.f64 a a))))
(.f64 (.f64 c c) (/.f64 (*.f64 a a) (pow.f64 b_2 3)))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a)))
(.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (*.f64 a a))
(/.f64 c (/.f64 (pow.f64 b_2 3) (.f64 c (.f64 a a))))
(.f64 (.f64 c c) (/.f64 (*.f64 a a) (pow.f64 b_2 3)))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a)))
(.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (*.f64 a a))
(/.f64 c (/.f64 (pow.f64 b_2 3) (.f64 c (.f64 a a))))
(.f64 (.f64 c c) (/.f64 (*.f64 a a) (pow.f64 b_2 3)))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a)))
(.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (*.f64 a a))
(/.f64 c (/.f64 (pow.f64 b_2 3) (.f64 c (.f64 a a))))
(.f64 (.f64 c c) (/.f64 (*.f64 a a) (pow.f64 b_2 3)))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a)))
(.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (*.f64 a a))
(/.f64 c (/.f64 (pow.f64 b_2 3) (.f64 c (.f64 a a))))
(.f64 (.f64 c c) (/.f64 (*.f64 a a) (pow.f64 b_2 3)))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a)))
(.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (*.f64 a a))
(/.f64 c (/.f64 (pow.f64 b_2 3) (.f64 c (.f64 a a))))
(.f64 (.f64 c c) (/.f64 (*.f64 a a) (pow.f64 b_2 3)))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a)))
(.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (*.f64 a a))
(/.f64 c (/.f64 (pow.f64 b_2 3) (.f64 c (.f64 a a))))
(.f64 (.f64 c c) (/.f64 (*.f64 a a) (pow.f64 b_2 3)))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a)))
(.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (*.f64 a a))
(/.f64 c (/.f64 (pow.f64 b_2 3) (.f64 c (.f64 a a))))
(.f64 (.f64 c c) (/.f64 (*.f64 a a) (pow.f64 b_2 3)))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a)))
(.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (*.f64 a a))
(/.f64 c (/.f64 (pow.f64 b_2 3) (.f64 c (.f64 a a))))
(.f64 (.f64 c c) (/.f64 (*.f64 a a) (pow.f64 b_2 3)))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))
(/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a)))
(.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (*.f64 a a))
(/.f64 c (/.f64 (pow.f64 b_2 3) (.f64 c (.f64 a a))))
(.f64 (.f64 c c) (/.f64 (*.f64 a a) (pow.f64 b_2 3)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(.f64 -1/2 (.f64 (/.f64 c b_2) a))
(.f64 -1/2 (.f64 (/.f64 a b_2) c))
(*.f64 a (/.f64 c (/.f64 b_2 -1/2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))))
(fma.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a a)) -1/8 (.f64 -1/2 (*.f64 (/.f64 c b_2) a)))
(fma.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) (.f64 c (.f64 a a)))) -1/8 (.f64 -1/2 (.f64 (/.f64 a b_2) c)))
(.f64 a (fma.f64 -1/8 (.f64 (*.f64 c c) (/.f64 a (pow.f64 b_2 3))) (/.f64 c (/.f64 b_2 -1/2))))
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(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/2 (/.f64 c b_2) (/.f64 (.f64 (.f64 -1/8 (*.f64 c c)) a) (pow.f64 b_2 3)))
(fma.f64 -1/2 (/.f64 c b_2) (.f64 -1/8 (.f64 a (/.f64 c (/.f64 (pow.f64 b_2 3) c)))))
(fma.f64 -1/8 (.f64 (.f64 c c) (/.f64 a (pow.f64 b_2 3))) (/.f64 c (/.f64 b_2 -1/2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/2 (/.f64 c b_2) (/.f64 (.f64 (.f64 -1/8 (*.f64 c c)) a) (pow.f64 b_2 3)))
(fma.f64 -1/2 (/.f64 c b_2) (.f64 -1/8 (.f64 a (/.f64 c (/.f64 (pow.f64 b_2 3) c)))))
(fma.f64 -1/8 (.f64 (.f64 c c) (/.f64 a (pow.f64 b_2 3))) (/.f64 c (/.f64 b_2 -1/2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/2 (/.f64 c b_2) (/.f64 (.f64 (.f64 -1/8 (*.f64 c c)) a) (pow.f64 b_2 3)))
(fma.f64 -1/2 (/.f64 c b_2) (.f64 -1/8 (.f64 a (/.f64 c (/.f64 (pow.f64 b_2 3) c)))))
(fma.f64 -1/8 (.f64 (.f64 c c) (/.f64 a (pow.f64 b_2 3))) (/.f64 c (/.f64 b_2 -1/2)))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 c (/.f64 b_2 -1/2))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/2 (/.f64 c b_2) (/.f64 (.f64 (.f64 -1/8 (*.f64 c c)) a) (pow.f64 b_2 3)))
(fma.f64 -1/2 (/.f64 c b_2) (.f64 -1/8 (.f64 a (/.f64 c (/.f64 (pow.f64 b_2 3) c)))))
(fma.f64 -1/8 (.f64 (.f64 c c) (/.f64 a (pow.f64 b_2 3))) (/.f64 c (/.f64 b_2 -1/2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/2 (/.f64 c b_2) (/.f64 (.f64 (.f64 -1/8 (*.f64 c c)) a) (pow.f64 b_2 3)))
(fma.f64 -1/2 (/.f64 c b_2) (.f64 -1/8 (.f64 a (/.f64 c (/.f64 (pow.f64 b_2 3) c)))))
(fma.f64 -1/8 (.f64 (.f64 c c) (/.f64 a (pow.f64 b_2 3))) (/.f64 c (/.f64 b_2 -1/2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/2 (/.f64 c b_2) (/.f64 (.f64 (.f64 -1/8 (*.f64 c c)) a) (pow.f64 b_2 3)))
(fma.f64 -1/2 (/.f64 c b_2) (.f64 -1/8 (.f64 a (/.f64 c (/.f64 (pow.f64 b_2 3) c)))))
(fma.f64 -1/8 (.f64 (.f64 c c) (/.f64 a (pow.f64 b_2 3))) (/.f64 c (/.f64 b_2 -1/2)))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 c (/.f64 b_2 -1/2))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/2 (/.f64 c b_2) (/.f64 (.f64 (.f64 -1/8 (*.f64 c c)) a) (pow.f64 b_2 3)))
(fma.f64 -1/2 (/.f64 c b_2) (.f64 -1/8 (.f64 a (/.f64 c (/.f64 (pow.f64 b_2 3) c)))))
(fma.f64 -1/8 (.f64 (.f64 c c) (/.f64 a (pow.f64 b_2 3))) (/.f64 c (/.f64 b_2 -1/2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/2 (/.f64 c b_2) (/.f64 (.f64 (.f64 -1/8 (*.f64 c c)) a) (pow.f64 b_2 3)))
(fma.f64 -1/2 (/.f64 c b_2) (.f64 -1/8 (.f64 a (/.f64 c (/.f64 (pow.f64 b_2 3) c)))))
(fma.f64 -1/8 (.f64 (.f64 c c) (/.f64 a (pow.f64 b_2 3))) (/.f64 c (/.f64 b_2 -1/2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/2 (/.f64 c b_2) (/.f64 (.f64 (.f64 -1/8 (*.f64 c c)) a) (pow.f64 b_2 3)))
(fma.f64 -1/2 (/.f64 c b_2) (.f64 -1/8 (.f64 a (/.f64 c (/.f64 (pow.f64 b_2 3) c)))))
(fma.f64 -1/8 (.f64 (.f64 c c) (/.f64 a (pow.f64 b_2 3))) (/.f64 c (/.f64 b_2 -1/2)))

localize59.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	3.3b	(+.f64 (.f64 -1 (pow.f64 b_2 3)) (.f64 3/2 (.f64 c (.f64 a b_2))))
✓	3.4b	(-.f64 (neg.f64 b_2) (cbrt.f64 (+.f64 (.f64 -1 (pow.f64 b_2 3)) (.f64 3/2 (.f64 c (.f64 a b_2))))))
✓	6.5b	(.f64 c (.f64 a b_2))
✓	33.5b	(cbrt.f64 (+.f64 (.f64 -1 (pow.f64 b_2 3)) (.f64 3/2 (.f64 c (.f64 a b_2)))))

Compiler

Compiled 97 to 51 computations (47.4% saved)

series25.0ms (0.2%)

Counts

4 → 46

Calls

36 calls:

Time	Variable		Point	Expression
3.0ms	c	@	inf	(+.f64 (.f64 -1 (pow.f64 b_2 3)) (.f64 3/2 (.f64 c (.f64 a b_2))))
2.0ms	c	@	0	(cbrt.f64 (+.f64 (.f64 -1 (pow.f64 b_2 3)) (.f64 3/2 (.f64 c (.f64 a b_2)))))
2.0ms	b_2	@	inf	(cbrt.f64 (+.f64 (.f64 -1 (pow.f64 b_2 3)) (.f64 3/2 (.f64 c (.f64 a b_2)))))
2.0ms	b_2	@	-inf	(-.f64 (neg.f64 b_2) (cbrt.f64 (+.f64 (.f64 -1 (pow.f64 b_2 3)) (.f64 3/2 (.f64 c (.f64 a b_2))))))
1.0ms	a	@	0	(cbrt.f64 (+.f64 (.f64 -1 (pow.f64 b_2 3)) (.f64 3/2 (.f64 c (.f64 a b_2)))))

rewrite139.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

747×	`log-prod_binary64`
584×	`fma-def_binary64`
306×	`fma-neg_binary64`
263×	`expm1-udef_binary64`
263×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	67
1	348	56
2	4629	56

Stop Event

1×	node limit

Counts

4 → 241

Calls

Call 1

Inputs
(cbrt.f64 (+.f64 (.f64 -1 (pow.f64 b_2 3)) (.f64 3/2 (.f64 c (.f64 a b_2)))))
(.f64 c (.f64 a b_2))
(-.f64 (neg.f64 b_2) (cbrt.f64 (+.f64 (.f64 -1 (pow.f64 b_2 3)) (.f64 3/2 (.f64 c (.f64 a b_2))))))
(+.f64 (.f64 -1 (pow.f64 b_2 3)) (.f64 3/2 (.f64 c (.f64 a b_2))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (fma.f64 3/2 (.f64 b_2 (.f64 c a)) (pow.f64 b_2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (fma.f64 3/2 (.f64 b_2 (.f64 c a)) (pow.f64 b_2 3))))) (cbrt.f64 (exp.f64 (cbrt.f64 (fma.f64 3/2 (.f64 b_2 (.f64 c a)) (pow.f64 b_2 3))))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (fma.f64 3/2 (.f64 b_2 (.f64 c a)) (pow.f64 b_2 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (fma.f64 3/2 (.f64 b_2 (.f64 c a)) (pow.f64 b_2 3)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (fma.f64 3/2 (.f64 b_2 (.f64 c a)) (pow.f64 b_2 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 3/2 (.f64 b_2 (.f64 c a)) (pow.f64 b_2 3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 3/2 (.f64 b_2 (.f64 c a)) (pow.f64 b_2 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cbrt.f64 (fma.f64 3/2 (.f64 b_2 (.f64 c a)) (pow.f64 b_2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (fma.f64 3/2 (.f64 b_2 (.f64 c a)) (pow.f64 b_2 3)))) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 3/2 (.f64 b_2 (.f64 c a)) (pow.f64 b_2 3)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 3/2 (.f64 b_2 (.f64 c a)) (pow.f64 b_2 3)) 2))) (cbrt.f64 (cbrt.f64 (fma.f64 3/2 (.f64 b_2 (.f64 c a)) (pow.f64 b_2 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 3/2 (.f64 b_2 (.f64 c a)) (pow.f64 b_2 3)) 1/6) (pow.f64 (fma.f64 3/2 (.f64 b_2 (.f64 c a)) (pow.f64 b_2 3)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (cbrt.f64 (fma.f64 3/2 (.f64 b_2 (.f64 c a)) (pow.f64 b_2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 3/2 (.f64 b_2 (.f64 c a)) (pow.f64 b_2 3)) 2)) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 3/2 (.f64 b_2 (.f64 c a)) (pow.f64 b_2 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (fma.f64 3/2 (.f64 b_2 (.f64 c a)) (pow.f64 b_2 3))) 1/3) (pow.f64 (sqrt.f64 (fma.f64 3/2 (.f64 b_2 (.f64 c a)) (pow.f64 b_2 3))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 (pow.f64 b_2 6) (pow.f64 (.f64 (.f64 3/2 (.f64 b_2 a)) c) 2))) (cbrt.f64 (-.f64 (pow.f64 b_2 3) (.f64 (.f64 3/2 (.f64 b_2 a)) c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (fma.f64 (pow.f64 (.f64 b_2 (.f64 c a)) 3) 27/8 (pow.f64 (pow.f64 b_2 3) 3))) (cbrt.f64 (fma.f64 (.f64 (.f64 3/2 (.f64 b_2 a)) c) (fma.f64 3/2 (.f64 b_2 (.f64 c a)) (pow.f64 b_2 3)) (pow.f64 b_2 6))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 3/2 (.f64 b_2 (.f64 c a)) (pow.f64 b_2 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 3/2 (.f64 b_2 (.f64 c a)) (pow.f64 b_2 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 3/2 (.f64 b_2 (.f64 c a)) (pow.f64 b_2 3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 3/2 (.f64 b_2 (.f64 c a)) (pow.f64 b_2 3)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 3/2 (.f64 b_2 (.f64 c a)) (pow.f64 b_2 3)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (fma.f64 3/2 (.f64 b_2 (.f64 c a)) (pow.f64 b_2 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (fma.f64 3/2 (.f64 b_2 (.f64 c a)) (pow.f64 b_2 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (fma.f64 3/2 (.f64 b_2 (.f64 c a)) (pow.f64 b_2 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (fma.f64 3/2 (.f64 b_2 (.f64 c a)) (pow.f64 b_2 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (fma.f64 3/2 (.f64 b_2 (.f64 c a)) (pow.f64 b_2 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 3/2 (.f64 b_2 (.f64 c a)) (pow.f64 b_2 3))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 3/2 (.f64 b_2 (.f64 c a)) (pow.f64 b_2 3)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 b_2 (.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 c) (.f64 b_2 a))) (cbrt.f64 (pow.f64 (exp.f64 c) (.f64 b_2 a))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 c) (.f64 b_2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 c) (.f64 b_2 a)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 c) (.f64 b_2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 b_2 (.f64 c a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 b_2 (.f64 c a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 b_2 (.f64 c a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 b_2 (.f64 c a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 b_2 (.f64 c a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 b_2 (.f64 c a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 c) (.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 b_2 (.f64 c a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 b_2 (.f64 c a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 c 3) (pow.f64 (.f64 b_2 a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 b_2 a) 3) (pow.f64 c 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 b_2 (.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 b_2 (.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 b_2 (.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 b_2 (.f64 c a))) 1))))))
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3/2 (.f64 b_2 (.f64 c a)) (pow.f64 b_2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 3/2 (.f64 b_2 (.f64 c a)) (pow.f64 b_2 3))) (sqrt.f64 (fma.f64 3/2 (.f64 b_2 (.f64 c a)) (pow.f64 b_2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (pow.f64 (.f64 b_2 (.f64 c a)) 3) 27/8 (pow.f64 (pow.f64 b_2 3) 3)) (/.f64 1 (fma.f64 (.f64 (.f64 3/2 (.f64 b_2 a)) c) (fma.f64 3/2 (.f64 b_2 (.f64 c a)) (pow.f64 b_2 3)) (pow.f64 b_2 6))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 b_2 6) (pow.f64 (.f64 (.f64 3/2 (.f64 b_2 a)) c) 2)) (/.f64 1 (-.f64 (pow.f64 b_2 3) (.f64 (.f64 3/2 (.f64 b_2 a)) c))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 3/2 (.f64 b_2 (.f64 c a)) (pow.f64 b_2 3)) 2))) 3) (cbrt.f64 (fma.f64 3/2 (.f64 b_2 (.f64 c a)) (pow.f64 b_2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (fma.f64 3/2 (.f64 b_2 (.f64 c a)) (pow.f64 b_2 3)) 1/6) 3) (pow.f64 (pow.f64 (fma.f64 3/2 (.f64 b_2 (.f64 c a)) (pow.f64 b_2 3)) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 3/2 (.f64 b_2 (.f64 c a)) (pow.f64 b_2 3))) 3/2) (pow.f64 (cbrt.f64 (fma.f64 3/2 (.f64 b_2 (.f64 c a)) (pow.f64 b_2 3))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 3/2 (.f64 b_2 (.f64 c a)) (pow.f64 b_2 3)) 2)) 1) (cbrt.f64 (fma.f64 3/2 (.f64 b_2 (.f64 c a)) (pow.f64 b_2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 3/2 (.f64 b_2 (.f64 c a)) (pow.f64 b_2 3)) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 3/2 (.f64 b_2 (.f64 c a)) (pow.f64 b_2 3)) 2)))) (cbrt.f64 (cbrt.f64 (fma.f64 3/2 (.f64 b_2 (.f64 c a)) (pow.f64 b_2 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 3/2 (.f64 b_2 (.f64 c a)) (pow.f64 b_2 3)) 2)) (pow.f64 (fma.f64 3/2 (.f64 b_2 (.f64 c a)) (pow.f64 b_2 3)) 1/6)) (pow.f64 (fma.f64 3/2 (.f64 b_2 (.f64 c a)) (pow.f64 b_2 3)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (.f64 (.f64 3/2 (.f64 b_2 a)) c) (fma.f64 3/2 (.f64 b_2 (.f64 c a)) (pow.f64 b_2 3)) (pow.f64 b_2 6)) (fma.f64 (pow.f64 (.f64 b_2 (.f64 c a)) 3) 27/8 (pow.f64 (pow.f64 b_2 3) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (pow.f64 b_2 3) (.f64 (.f64 3/2 (.f64 b_2 a)) c)) (-.f64 (pow.f64 b_2 6) (pow.f64 (.f64 (.f64 3/2 (.f64 b_2 a)) c) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (.f64 b_2 (.f64 c a)) 3) 27/8 (pow.f64 (pow.f64 b_2 3) 3)) (fma.f64 (.f64 (.f64 3/2 (.f64 b_2 a)) c) (fma.f64 3/2 (.f64 b_2 (.f64 c a)) (pow.f64 b_2 3)) (pow.f64 b_2 6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (.f64 b_2 (.f64 c a)) 3) 27/8 (pow.f64 (pow.f64 b_2 3) 3)) (fma.f64 (pow.f64 (.f64 b_2 (.f64 c a)) 2) 9/4 (-.f64 (pow.f64 b_2 6) (.f64 (pow.f64 b_2 3) (.f64 (.f64 3/2 (.f64 b_2 a)) c)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 b_2 6) (pow.f64 (.f64 (.f64 3/2 (.f64 b_2 a)) c) 2)) (-.f64 (pow.f64 b_2 3) (.f64 (.f64 3/2 (.f64 b_2 a)) c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 b_2 (.f64 c a)) 3) 27/8 (pow.f64 (pow.f64 b_2 3) 3))) (neg.f64 (fma.f64 (.f64 (.f64 3/2 (.f64 b_2 a)) c) (fma.f64 3/2 (.f64 b_2 (.f64 c a)) (pow.f64 b_2 3)) (pow.f64 b_2 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 b_2 6) (pow.f64 (.f64 (.f64 3/2 (.f64 b_2 a)) c) 2))) (neg.f64 (-.f64 (pow.f64 b_2 3) (.f64 (.f64 3/2 (.f64 b_2 a)) c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (.f64 b_2 (.f64 c a)) 2) 9/4 (pow.f64 b_2 6)) (fma.f64 3/2 (.f64 b_2 (.f64 c a)) (pow.f64 b_2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 3/2 (.f64 b_2 (.f64 c a)) (pow.f64 b_2 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 3/2 (.f64 b_2 (.f64 c a)) (pow.f64 b_2 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 3/2 (.f64 b_2 (.f64 c a)) (pow.f64 b_2 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 3/2 (.f64 b_2 (.f64 c a)) (pow.f64 b_2 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 3/2 (.f64 b_2 (.f64 c a)) (pow.f64 b_2 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 3/2 (.f64 b_2 (.f64 c a)) (pow.f64 b_2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 3/2 (.f64 b_2 (.f64 c a)) (pow.f64 b_2 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 c) (.f64 b_2 a)) 3/2) (exp.f64 (pow.f64 b_2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 3/2 (.f64 b_2 a)) c))) (exp.f64 (pow.f64 b_2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 c) (.f64 b_2 a)) 3/2) (+.f64 1 (expm1.f64 (pow.f64 b_2 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 3/2 (.f64 b_2 a)) c))) (+.f64 1 (expm1.f64 (pow.f64 b_2 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (pow.f64 b_2 3))) (pow.f64 (pow.f64 (exp.f64 c) (.f64 b_2 a)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (pow.f64 b_2 3)) (+.f64 1 (expm1.f64 (.f64 (.f64 3/2 (.f64 b_2 a)) c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (pow.f64 b_2 3))) (+.f64 1 (expm1.f64 (.f64 (.f64 3/2 (.f64 b_2 a)) c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 3/2 (.f64 b_2 a)) c))) (exp.f64 (pow.f64 b_2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 c) (.f64 b_2 a)) 3/2) (+.f64 1 (expm1.f64 (pow.f64 b_2 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 3/2 (.f64 b_2 a)) c))) (+.f64 1 (expm1.f64 (pow.f64 b_2 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 3/2 (.f64 b_2 (.f64 c a)) (pow.f64 b_2 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 3/2 (.f64 b_2 (.f64 c a)) (pow.f64 b_2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 3/2 (.f64 b_2 (.f64 c a)) (pow.f64 b_2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 3/2 (.f64 b_2 (.f64 c a)) (pow.f64 b_2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 3/2 (.f64 b_2 (.f64 c a)) (pow.f64 b_2 3)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 3/2 (.f64 b_2 (.f64 c a)) (pow.f64 b_2 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (pow.f64 b_2 3) (.f64 (.f64 3/2 (.f64 b_2 a)) c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b_2 (.f64 b_2 b_2) (.f64 (.f64 3/2 (.f64 b_2 a)) c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b_2 (.f64 (.f64 b_2 b_2) -1) (.f64 (.f64 3/2 (.f64 b_2 a)) c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 b_2 3) -1 (.f64 (.f64 3/2 (.f64 b_2 a)) c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 b_2 3) 1 (.f64 (.f64 3/2 (.f64 b_2 a)) c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3/2 (.f64 b_2 (.f64 c a)) (pow.f64 b_2 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 c (.f64 (.f64 b_2 a) 3/2) (pow.f64 b_2 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 b_2 a) (.f64 3/2 c) (pow.f64 b_2 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 b_2 (.f64 c a)) 3/2 (pow.f64 b_2 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 3/2 (.f64 b_2 a)) c) 1 (pow.f64 b_2 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 b_2 3) (.f64 (.f64 3/2 (.f64 b_2 a)) c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 (.f64 3/2 (.f64 b_2 a)) c) (pow.f64 b_2 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 b_2 b_2) b_2 (.f64 (.f64 3/2 (.f64 b_2 a)) c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 (.f64 3/2 (.f64 b_2 a)) c)) (cbrt.f64 (pow.f64 (.f64 (.f64 3/2 (.f64 b_2 a)) c) 2)) (pow.f64 b_2 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 3/2 (.f64 b_2 a)) c) 2)) (cbrt.f64 (.f64 (.f64 3/2 (.f64 b_2 a)) c)) (pow.f64 b_2 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 b_2 b_2)) (.f64 (cbrt.f64 b_2) (.f64 b_2 b_2)) (.f64 (.f64 3/2 (.f64 b_2 a)) c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 b_2 (.f64 c a))) 2) (.f64 (cbrt.f64 (.f64 b_2 (.f64 c a))) 3/2) (pow.f64 b_2 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 (.f64 3/2 (.f64 b_2 a)) c)) (sqrt.f64 (.f64 (.f64 3/2 (.f64 b_2 a)) c)) (pow.f64 b_2 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 b_2) (.f64 (sqrt.f64 b_2) (.f64 b_2 b_2)) (.f64 (.f64 3/2 (.f64 b_2 a)) c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 b_2 (.f64 c a))) (.f64 (sqrt.f64 (.f64 b_2 (.f64 c a))) 3/2) (pow.f64 b_2 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 b_2 3/2) (pow.f64 b_2 3/2) (.f64 (.f64 3/2 (.f64 b_2 a)) c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 b_2 3/2) (neg.f64 (pow.f64 b_2 3/2)) (.f64 (.f64 3/2 (.f64 b_2 a)) c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 b_2 3/2) (.f64 (pow.f64 b_2 3/2) -1) (.f64 (.f64 3/2 (.f64 b_2 a)) c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 c a) (.f64 b_2 3/2) (pow.f64 b_2 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 3/2 c) (.f64 b_2 a) (pow.f64 b_2 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 b_2 b_2)) 3) b_2 (.f64 (.f64 3/2 (.f64 b_2 a)) c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (sqrt.f64 b_2) 3) (pow.f64 (sqrt.f64 b_2) 3) (.f64 (.f64 3/2 (.f64 b_2 a)) c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 b_2 3/2)) (pow.f64 b_2 3/2) (.f64 (.f64 3/2 (.f64 b_2 a)) c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 b_2 b_2) -1) b_2 (.f64 (.f64 3/2 (.f64 b_2 a)) c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 b_2 b_2) 1) b_2 (.f64 (.f64 3/2 (.f64 b_2 a)) c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 b_2 b_2) (cbrt.f64 (.f64 b_2 b_2))) (cbrt.f64 b_2) (.f64 (.f64 3/2 (.f64 b_2 a)) c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 b_2 b_2) (sqrt.f64 b_2)) (sqrt.f64 b_2) (.f64 (.f64 3/2 (.f64 b_2 a)) c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 3/2 (.f64 b_2 a)) c (pow.f64 b_2 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 3/2 (pow.f64 (cbrt.f64 (.f64 b_2 (.f64 c a))) 2)) (cbrt.f64 (.f64 b_2 (.f64 c a))) (pow.f64 b_2 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 3/2 (sqrt.f64 (.f64 b_2 (.f64 c a)))) (sqrt.f64 (.f64 b_2 (.f64 c a))) (pow.f64 b_2 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 3/2 (.f64 c a)) b_2 (pow.f64 b_2 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 3/2 c) b_2) a (pow.f64 b_2 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 3/2 c) a) b_2 (pow.f64 b_2 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 3/2 c) 1) (.f64 b_2 a) (pow.f64 b_2 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 3/2 c) (pow.f64 (cbrt.f64 (.f64 b_2 a)) 2)) (cbrt.f64 (.f64 b_2 a)) (pow.f64 b_2 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 3/2 c) (sqrt.f64 (.f64 b_2 a))) (sqrt.f64 (.f64 b_2 a)) (pow.f64 b_2 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 -1 (pow.f64 b_2 3/2)) (pow.f64 b_2 3/2) (.f64 (.f64 3/2 (.f64 b_2 a)) c))))))

simplify113.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

765×	`associate-/r*_binary64`
531×	`associate-*r/_binary64`
531×	`associate-*l/_binary64`
489×	`fma-neg_binary64`
271×	`associate-+l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	167	1624
1	583	1509
2	2489	1480
3	7289	1477

Stop Event

1×	node limit

Counts

287 → 291

Calls

Call 1

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

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

eval437.0ms (2.9%)

Compiler: Compiled 26297 to 13001 computations (50.6% saved)

prune379.0ms (2.5%)

Pruning

42 alts after pruning (34 fresh and 8 done)

	Pruned	Kept	Total
New	924	5	929
Fresh	2	29	31
Picked	1	0	1
Done	1	8	9
Total	928	42	970

Error

0.6b

Counts

970 → 42

Alt Table

Click to see full alt table

Status	Error	Program
	44.2b	(fma.f64 c (/.f64 1/2 b_2) (*.f64 b_2 (/.f64 -2 a)))
✓	48.8b	(/.f64 (fma.f64 -1/8 (.f64 (.f64 a a) (.f64 (/.f64 c (.f64 b_2 b_2)) (/.f64 c b_2))) (.f64 -1/2 (/.f64 (.f64 c a) b_2))) a)
	47.8b	(/.f64 (/.f64 (-.f64 (.f64 b_2 b_2) (-.f64 (.f64 b_2 b_2) (.f64 a c))) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))) a)
	44.6b	(/.f64 (/.f64 (*.f64 b_2 -2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
	53.4b	(/.f64 (-.f64 (neg.f64 (pow.f64 (exp.f64 1/4) (*.f64 2 (+.f64 (log.f64 (neg.f64 a)) (log.f64 c))))) b_2) a)
	39.2b	(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/3) 3/2)) a)
	45.6b	(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (*.f64 c (neg.f64 a)) 1/4) 2)) a)
	45.1b	(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (sqrt.f64 b_2) 2)) a)
	53.2b	(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) 2)) a)
	52.9b	(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2)) a)
	45.7b	(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (cbrt.f64 (*.f64 c (neg.f64 a))) 3/2)) a)
	55.5b	(/.f64 (-.f64 (neg.f64 b_2) (-.f64 (/.f64 1/2 (/.f64 b_2 (*.f64 a c))) b_2)) a)
✓	35.4b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	45.6b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))) a)
	38.2b	(/.f64 (-.f64 (neg.f64 b_2) (exp.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))) a)
	53.1b	(/.f64 (-.f64 (neg.f64 b_2) (cbrt.f64 (pow.f64 (*.f64 c (neg.f64 a)) 3/2))) a)
	62.2b	(/.f64 (-.f64 (neg.f64 b_2) (cbrt.f64 (-.f64 (.f64 (.f64 3/2 (*.f64 b_2 a)) c) (pow.f64 b_2 3)))) a)
	56.0b	(/.f64 (-.f64 (neg.f64 b_2) (cbrt.f64 (+.f64 (pow.f64 b_2 3) (.f64 -3/2 (.f64 c (*.f64 a b_2)))))) a)
	60.6b	(/.f64 (-.f64 (neg.f64 b_2) (cbrt.f64 (.f64 3/2 (.f64 c (*.f64 a b_2))))) a)
✓	45.9b	(/.f64 (+.f64 (.f64 -2 b_2) (/.f64 (.f64 1/2 (*.f64 c a)) b_2)) a)
	44.2b	(/.f64 (*.f64 b_2 -2) a)
	44.6b	(/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)
	45.6b	(/.f64 (neg.f64 (sqrt.f64 (*.f64 a (neg.f64 c)))) a)
	59.1b	(/.f64 (neg.f64 b_2) a)
	44.3b	(/.f64 1 (/.f64 a (*.f64 b_2 -2)))
	55.6b	(/.f64 1/2 (/.f64 b_2 c))
✓	55.3b	(/.f64 0 a)
✓	46.7b	(-.f64 (+.f64 1 (*.f64 b_2 (/.f64 -2 a))) 1)
	44.2b	(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
	44.6b	(.f64 (pow.f64 (cbrt.f64 b_2) 2) (.f64 (cbrt.f64 b_2) (/.f64 -2 a)))
	54.8b	(.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (sqrt.f64 a)))
✓	47.3b	(.f64 (/.f64 1 a) (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))
	55.7b	(.f64 (/.f64 1 a) (.f64 (/.f64 1/2 (/.f64 b_2 c)) a))
	62.3b	(.f64 (/.f64 1 a) (.f64 b_2 2))
	39.7b	(*.f64 c (/.f64 -1/2 b_2))
✓	44.3b	(*.f64 b_2 (/.f64 -2 a))
	62.3b	(*.f64 2 (/.f64 b_2 a))
✓	39.6b	(*.f64 -1/2 (/.f64 c b_2))
	51.6b	(expm1.f64 (log1p.f64 (/.f64 (fma.f64 1/2 (.f64 (/.f64 c b_2) a) (.f64 -2 b_2)) a)))
	63.6b	(exp.f64 (log.f64 (/.f64 (-.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)) a)))
	54.2b	(exp.f64 (log.f64 (*.f64 b_2 (/.f64 -2 a))))
	55.7b	(cbrt.f64 (pow.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a) 3))

Compiler

Compiled 610 to 434 computations (28.9% saved)

regimes1.2s (8.2%)

Counts

64 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

397.0ms	c
356.0ms	b_2
343.0ms	a
119.0ms	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Results

Error	Segments	Branch
25.9b	7	`a`
10.2b	3	`b_2`
27.1b	8	`c`
14.9b	5	`(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`

Compiler

Compiled 838 to 386 computations (53.9% saved)

bsearch225.0ms (1.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
87.0ms	3.860224605471839e+111	8.435507785223751e+111
138.0ms	-1.2708186172360142e-69	-1.1681881930575457e-71

Compiler

Compiled 460 to 287 computations (37.6% saved)

regimes1.3s (8.5%)

Counts

54 → 3

Calls

Call 1

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

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

Calls

4 calls:

537.0ms	c
348.0ms	a
124.0ms	b_2
119.0ms	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Results

Error	Segments	Branch
25.4b	10	`a`
10.2b	3	`b_2`
29.0b	8	`c`
14.9b	5	`(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`

Compiler

Compiled 669 to 317 computations (52.6% saved)

bsearch118.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
45.0ms	3.860224605471839e+111	8.435507785223751e+111
73.0ms	-1.2708186172360142e-69	-1.1681881930575457e-71

Compiler

Compiled 364 to 251 computations (31% saved)

regimes292.0ms (1.9%)

Counts

27 → 3

Calls

Call 1

Inputs
(/.f64 0 a)
(/.f64 (neg.f64 b_2) a)
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 2 (/.f64 b_2 a))
(*.f64 b_2 (/.f64 -2 a))
(*.f64 c (/.f64 -1/2 b_2))
(/.f64 1/2 (/.f64 b_2 c))
(/.f64 (*.f64 1/2 c) b_2)
(/.f64 (*.f64 b_2 -2) a)
(.f64 (/.f64 1 a) (.f64 b_2 2))
(/.f64 1 (/.f64 a (*.f64 b_2 -2)))
(/.f64 (-.f64 (neg.f64 b_2) (neg.f64 b_2)) a)
(-.f64 (+.f64 1 (*.f64 b_2 (/.f64 -2 a))) 1)
(/.f64 (*.f64 -1/2 (/.f64 a (/.f64 b_2 c))) a)
(/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)
(.f64 (/.f64 1 a) (.f64 (/.f64 1/2 (/.f64 b_2 c)) a))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(/.f64 (+.f64 (.f64 -2 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2))) a)
(/.f64 (+.f64 (.f64 -2 b_2) (/.f64 (.f64 1/2 (*.f64 c a)) b_2)) a)
(/.f64 (-.f64 (neg.f64 b_2) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))) a)
(/.f64 (-.f64 (neg.f64 b_2) (-.f64 (/.f64 1/2 (/.f64 b_2 (*.f64 a c))) b_2)) a)
(/.f64 (-.f64 (neg.f64 b_2) (+.f64 (.f64 -1 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))) a)
(/.f64 (neg.f64 (sqrt.f64 (*.f64 a (neg.f64 c)))) a)
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))) a)
(fma.f64 1/2 (/.f64 c b_2) (*.f64 b_2 (/.f64 -2 a)))
(fma.f64 c (/.f64 1/2 b_2) (*.f64 b_2 (/.f64 -2 a)))
(/.f64 (-.f64 (neg.f64 b_2) (cbrt.f64 (.f64 3/2 (.f64 c (*.f64 a b_2))))) a)

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

Calls

3 calls:

129.0ms	a
102.0ms	c
47.0ms	b_2

Results

Error	Segments	Branch
30.5b	9	`a`
12.8b	3	`b_2`
35.2b	5	`c`

Compiler

Compiled 248 to 136 computations (45.2% saved)

bsearch323.0ms (2.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
244.0ms	8.115918483078556e-97	5.4106317240375345e-87
79.0ms	-1.2708186172360142e-69	-1.1681881930575457e-71

Compiler

Compiled 473 to 344 computations (27.3% saved)

regimes368.0ms (2.4%)

Counts

23 → 3

Calls

Call 1

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

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

Calls

3 calls:

196.0ms	b_2
101.0ms	a
65.0ms	c

Results

Error	Segments	Branch
32.3b	7	`a`
13.1b	3	`b_2`
35.5b	5	`c`

Compiler

Compiled 205 to 113 computations (44.9% saved)

bsearch401.0ms (2.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
113.0ms	8.115918483078556e-97	5.4106317240375345e-87
287.0ms	-1.2708186172360142e-69	-1.1681881930575457e-71

Compiler

Compiled 439 to 327 computations (25.5% saved)

regimes338.0ms (2.2%)

Counts

22 → 2

Calls

Call 1

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

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

Calls

3 calls:

159.0ms	c
102.0ms	a
47.0ms	b_2

Results

Error	Segments	Branch
34.2b	4	`a`
21.2b	2	`b_2`
36.1b	7	`c`

Compiler

Compiled 197 to 108 computations (45.2% saved)

bsearch50.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
50.0ms	-6.263065192707793e-300	-2.051703243253492e-300

Compiler

Compiled 142 to 105 computations (26.1% saved)

regimes246.0ms (1.6%)

Counts

16 → 2

Calls

Call 1

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

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

Calls

3 calls:

122.0ms	c
79.0ms	a
34.0ms	b_2

Results

Error	Segments	Branch
34.3b	4	`a`
21.4b	2	`b_2`
36.2b	7	`c`

Compiler

Compiled 116 to 71 computations (38.8% saved)

bsearch80.0ms (0.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
79.0ms	-1.1812183874077435e-275	-3.0107897677366986e-279

Compiler

Compiled 166 to 127 computations (23.5% saved)

regimes303.0ms (2%)

Counts

8 → 2

Calls

Call 1

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

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

Calls

3 calls:

178.0ms	a
99.0ms	c
22.0ms	b_2

Results

Error	Segments	Branch
34.4b	4	`a`
21.4b	2	`b_2`
36.2b	7	`c`

Compiler

Compiled 52 to 34 computations (34.6% saved)

bsearch83.0ms (0.6%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
83.0ms	-1.1812183874077435e-275	-3.0107897677366986e-279

Compiler

Compiled 166 to 127 computations (23.5% saved)

regimes39.0ms (0.3%)

Counts

4 → 2

Calls

Call 1

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

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

Calls

3 calls:

17.0ms	b_2
9.0ms	c
9.0ms	a

Results

Error	Segments	Branch
39.6b	1	`a`
36.2b	2	`b_2`
39.6b	1	`c`

Compiler

Compiled 32 to 22 computations (31.3% saved)

bsearch85.0ms (0.6%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
85.0ms	-1.1812183874077435e-275	-3.0107897677366986e-279

Compiler

Compiled 158 to 119 computations (24.7% saved)

regimes17.0ms (0.1%)

Accuracy

Total -10.3b remaining (-19.7%)

Threshold costs -10.3b (-19.7%)

Counts

2 → 2

Calls

Call 1

Inputs
(/.f64 0 a)
(/.f64 (neg.f64 b_2) a)

Outputs
(/.f64 0 a)
(/.f64 (neg.f64 b_2) a)

Calls

3 calls:

7.0ms	b_2
5.0ms	c
3.0ms	a

Results

Error	Segments	Branch
55.3b	1	`a`
52.1b	2	`b_2`
55.3b	1	`c`

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch26.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
26.0ms	-6.263065192707793e-300	-2.051703243253492e-300

Compiler

Compiled 97 to 75 computations (22.7% saved)

simplify20.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

24×	`+-commutative_binary64`
23×	`*-commutative_binary64`
19×	`sub-neg_binary64`
15×	`neg-sub0_binary64`
15×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	329
1	104	329
2	132	329
3	167	329
4	184	329
5	193	329
6	196	329

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 b_2 -93248106826835/7770675568902916283677847627294075626569627356208558085007249638955617140820833992704) (.f64 -1/2 (/.f64 c b_2)) (if (<=.f64 b_2 3899999999999999791547356378886017412873250470628573150201335446742002733215304657133757572307975743043981541376) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (+.f64 (.f64 b_2 b_2) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (.f64 a c)))))) a) (+.f64 (.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2)))))
(if (<=.f64 b_2 -93248106826835/7770675568902916283677847627294075626569627356208558085007249638955617140820833992704) (.f64 -1/2 (/.f64 c b_2)) (if (<=.f64 b_2 3899999999999999791547356378886017412873250470628573150201335446742002733215304657133757572307975743043981541376) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (+.f64 (.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2)))))
(if (<=.f64 b_2 -93248106826835/7770675568902916283677847627294075626569627356208558085007249638955617140820833992704) (.f64 -1/2 (/.f64 c b_2)) (if (<=.f64 b_2 7888096943614129/9619630419041620901435312524449124464130795720328478190417063819395928166869436184427311097384012607618805661696) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (.f64 c (neg.f64 a)))) a) (+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))))
(if (<=.f64 b_2 -93248106826835/7770675568902916283677847627294075626569627356208558085007249638955617140820833992704) (.f64 -1/2 (/.f64 c b_2)) (if (<=.f64 b_2 7888096943614129/9619630419041620901435312524449124464130795720328478190417063819395928166869436184427311097384012607618805661696) (/.f64 (neg.f64 (sqrt.f64 (.f64 a (neg.f64 c)))) a) (+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))))
(if (<=.f64 b_2 -6333660065313463/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656) (.f64 -1/2 (/.f64 c b_2)) (+.f64 (.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2))))
(if (<=.f64 b_2 -3895880284211773/1277337798102220679460078536343576682283168806678692826561630235159815610796137002102373097915286848697179165980283196956142360312571899942873069950902292109004803630688694832971224141724392311796898148316508111355731718691277357048888867371806748260804557380400483866651109436947420166353846272) (.f64 -1/2 (/.f64 c b_2)) (/.f64 (.f64 b_2 -2) a))
(if (<=.f64 b_2 -3895880284211773/1277337798102220679460078536343576682283168806678692826561630235159815610796137002102373097915286848697179165980283196956142360312571899942873069950902292109004803630688694832971224141724392311796898148316508111355731718691277357048888867371806748260804557380400483866651109436947420166353846272) (.f64 -1/2 (/.f64 c b_2)) (.f64 b_2 (/.f64 -2 a)))
(if (<=.f64 b_2 -3895880284211773/1277337798102220679460078536343576682283168806678692826561630235159815610796137002102373097915286848697179165980283196956142360312571899942873069950902292109004803630688694832971224141724392311796898148316508111355731718691277357048888867371806748260804557380400483866651109436947420166353846272) (*.f64 -1/2 (/.f64 c b_2)) (/.f64 (neg.f64 b_2) a))
(if (<=.f64 b_2 -4524042903795331/754007150632555106105265567894716959631281531468563222724576883120202793061715911671371697267283217963528178126800104645601692562497382897388239949720868877774169386463487004356335504882384897549598543638261948036260930759551721433617559655193833844143189700366403049053003693428749228016236154394768201795621617664) (/.f64 0 a) (/.f64 (neg.f64 b_2) a))
(/.f64 0 a)

Outputs
(if (<=.f64 b_2 -93248106826835/7770675568902916283677847627294075626569627356208558085007249638955617140820833992704) (.f64 -1/2 (/.f64 c b_2)) (if (<=.f64 b_2 3899999999999999791547356378886017412873250470628573150201335446742002733215304657133757572307975743043981541376) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (+.f64 (.f64 b_2 b_2) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (.f64 a c)))))) a) (+.f64 (.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2)))))
(if (<=.f64 b_2 -93248106826835/7770675568902916283677847627294075626569627356208558085007249638955617140820833992704) (.f64 -1/2 (/.f64 c b_2)) (if (<=.f64 b_2 3899999999999999791547356378886017412873250470628573150201335446742002733215304657133757572307975743043981541376) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (+.f64 (.f64 b_2 b_2) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (.f64 c a)))))) a) (+.f64 (.f64 -2 (/.f64 b_2 a)) (*.f64 (/.f64 c b_2) 1/2))))
(if (<=.f64 b_2 -93248106826835/7770675568902916283677847627294075626569627356208558085007249638955617140820833992704) (.f64 -1/2 (/.f64 c b_2)) (if (<=.f64 b_2 3899999999999999791547356378886017412873250470628573150201335446742002733215304657133757572307975743043981541376) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (+.f64 (.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2)))))
(if (<=.f64 b_2 -93248106826835/7770675568902916283677847627294075626569627356208558085007249638955617140820833992704) (.f64 -1/2 (/.f64 c b_2)) (if (<=.f64 b_2 3899999999999999791547356378886017412873250470628573150201335446742002733215304657133757572307975743043981541376) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) a) (+.f64 (.f64 -2 (/.f64 b_2 a)) (*.f64 (/.f64 c b_2) 1/2))))
(if (<=.f64 b_2 -93248106826835/7770675568902916283677847627294075626569627356208558085007249638955617140820833992704) (.f64 -1/2 (/.f64 c b_2)) (if (<=.f64 b_2 7888096943614129/9619630419041620901435312524449124464130795720328478190417063819395928166869436184427311097384012607618805661696) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (.f64 c (neg.f64 a)))) a) (+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))))
(if (<=.f64 b_2 -93248106826835/7770675568902916283677847627294075626569627356208558085007249638955617140820833992704) (.f64 -1/2 (/.f64 c b_2)) (if (<=.f64 b_2 7888096943614129/9619630419041620901435312524449124464130795720328478190417063819395928166869436184427311097384012607618805661696) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (.f64 c (neg.f64 a)))) a) (+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 (/.f64 c b_2) 1/2))))
(if (<=.f64 b_2 -93248106826835/7770675568902916283677847627294075626569627356208558085007249638955617140820833992704) (.f64 -1/2 (/.f64 c b_2)) (if (<=.f64 b_2 7888096943614129/9619630419041620901435312524449124464130795720328478190417063819395928166869436184427311097384012607618805661696) (/.f64 (neg.f64 (sqrt.f64 (.f64 a (neg.f64 c)))) a) (+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))))
(if (<=.f64 b_2 -93248106826835/7770675568902916283677847627294075626569627356208558085007249638955617140820833992704) (.f64 -1/2 (/.f64 c b_2)) (if (<=.f64 b_2 7888096943614129/9619630419041620901435312524449124464130795720328478190417063819395928166869436184427311097384012607618805661696) (/.f64 (neg.f64 (sqrt.f64 (.f64 c (neg.f64 a)))) a) (+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 (/.f64 c b_2) 1/2))))
(if (<=.f64 b_2 -6333660065313463/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656) (.f64 -1/2 (/.f64 c b_2)) (+.f64 (.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2))))
(if (<=.f64 b_2 -6333660065313463/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656) (.f64 -1/2 (/.f64 c b_2)) (+.f64 (.f64 -2 (/.f64 b_2 a)) (*.f64 (/.f64 c b_2) 1/2)))
(if (<=.f64 b_2 -3895880284211773/1277337798102220679460078536343576682283168806678692826561630235159815610796137002102373097915286848697179165980283196956142360312571899942873069950902292109004803630688694832971224141724392311796898148316508111355731718691277357048888867371806748260804557380400483866651109436947420166353846272) (.f64 -1/2 (/.f64 c b_2)) (/.f64 (.f64 b_2 -2) a))
(if (<=.f64 b_2 -3895880284211773/1277337798102220679460078536343576682283168806678692826561630235159815610796137002102373097915286848697179165980283196956142360312571899942873069950902292109004803630688694832971224141724392311796898148316508111355731718691277357048888867371806748260804557380400483866651109436947420166353846272) (.f64 -1/2 (/.f64 c b_2)) (.f64 b_2 (/.f64 -2 a)))
(if (<=.f64 b_2 -3895880284211773/1277337798102220679460078536343576682283168806678692826561630235159815610796137002102373097915286848697179165980283196956142360312571899942873069950902292109004803630688694832971224141724392311796898148316508111355731718691277357048888867371806748260804557380400483866651109436947420166353846272) (*.f64 -1/2 (/.f64 c b_2)) (/.f64 (neg.f64 b_2) a))
(if (<=.f64 b_2 -4524042903795331/754007150632555106105265567894716959631281531468563222724576883120202793061715911671371697267283217963528178126800104645601692562497382897388239949720868877774169386463487004356335504882384897549598543638261948036260930759551721433617559655193833844143189700366403049053003693428749228016236154394768201795621617664) (/.f64 0 a) (/.f64 (neg.f64 b_2) a))
(/.f64 0 a)

Compiler

Compiled 253 to 165 computations (34.8% saved)

soundness0.0ms (0%)

end96.0ms (0.6%)

Compiler: Compiled 226 to 117 computations (48.2% saved)