Details

analyze899.0ms (11.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
0%	95.2%	4.8%	7
6.2%	88.2%	5.6%	8
10.1%	80.4%	9.5%	9
15.2%	72.2%	12.6%	10
22.2%	62.5%	15.3%	11
29.1%	52.5%	18.5%	12
33.9%	45.7%	20.4%	13
38.9%	38.6%	22.5%	14

Compiler

Compiled 17 to 11 computations (35.3% saved)

sample2.2s (28%)

Results

775.0ms	5257×	body	128	valid
568.0ms	1203×	body	2048	valid
289.0ms	750×	body	1024	valid
254.0ms	456×	body	4096	valid
125.0ms	1078×	body	128	invalid
107.0ms	373×	body	512	valid
48.0ms	217×	body	256	valid

preprocess42.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

508×	`times-frac_binary64`
390×	`div-sub_binary64`
354×	`fma-def_binary64`
351×	`fma-neg_binary64`
312×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	80
1	65	72
2	112	72
3	222	72
4	365	72
5	620	72
6	1057	72
7	1768	72
8	4025	72
0	3	3

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 16 to 10 computations (37.5% saved)

simplify60.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

808×	`fma-neg_binary64`
361×	`div-sub_binary64`
341×	`fma-def_binary64`
313×	`associate-/l*_binary64`
224×	`times-frac_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	20
1	23	18
2	42	18
3	77	18
4	123	18
5	218	18
6	370	18
7	586	18
8	948	18
9	1471	18
10	2000	18
11	3220	18
12	4095	18
13	4427	18
14	4435	18
15	4443	18
16	4469	18
17	4485	18
18	4521	18
19	4553	18
20	4565	18

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

35.5b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	35.5b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)

Compiler

Compiled 58 to 30 computations (48.3% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
✓	0.6b	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	2.4b	(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)
✓	26.0b	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

series26.0ms (0.3%)

Counts

4 → 96

Calls

36 calls:

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

rewrite94.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

700×	`fma-def_binary64`
338×	`fma-neg_binary64`
216×	`expm1-udef_binary64`
216×	`log1p-udef_binary64`
159×	`egg-rr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	55
1	239	55
2	3653	55

Stop Event

1×	node limit

Counts

4 → 313

Calls

Call 1

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

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

simplify57.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

706×	`fma-def_binary64`
681×	`associate-/l*_binary64`
541×	`associate-/r*_binary64`
324×	`associate-*l/_binary64`
164×	`associate-/r/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	158	2316
1	506	2235
2	1737	2145

Stop Event

1×	node limit

Counts

409 → 393

Calls

Call 1

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

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

prune937.0ms (12%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	382	11	393
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	383	11	394

Error

5.5b

Counts

394 → 11

Alt Table

Status	Error	Program
	44.8b	(/.f64 (fma.f64 b_2 -2 (/.f64 1/2 (/.f64 (/.f64 b_2 c) a))) a)
	50.1b	(cbrt.f64 (pow.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) 3))
	38.9b	(*.f64 -1/2 (/.f64 c b_2))
	44.6b	(/.f64 (*.f64 -2 b_2) a)
	35.6b	(pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) -1)
	35.8b	(.f64 (sqrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) (.f64 (sqrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) (/.f64 1 a)))
▶	35.5b	(/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (*.f64 a c))))) b_2) a)
	56.3b	(/.f64 (-.f64 b_2 b_2) a)
	37.9b	(fma.f64 (/.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 1) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (neg.f64 (/.f64 b_2 a)))
	40.1b	(fma.f64 -1/8 (.f64 (.f64 (/.f64 c (pow.f64 b_2 3)) c) a) (*.f64 -1/2 (/.f64 c b_2)))
	43.7b	(/.f64 (/.f64 c (/.f64 (/.f64 b_2 a) -1/2)) a)

Compiler

Compiled 10047 to 3282 computations (67.3% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.8b	(fma.f64 b_2 b_2 (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (*.f64 a c))))
✓	2.4b	(-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (*.f64 a c))))) b_2)
✓	26.0b	(sqrt.f64 (fma.f64 b_2 b_2 (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (*.f64 a c)))))
✓	53.8b	(fma.f64 a (neg.f64 c) (*.f64 a c))

series26.0ms (0.3%)

Counts

4 → 100

Calls

33 calls:

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

rewrite74.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

514×	`log-prod_binary64`
367×	`fma-def_binary64`
217×	`fma-neg_binary64`
195×	`expm1-udef_binary64`
195×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	77
1	233	57
2	3104	57

Stop Event

1×	node limit

Counts

4 → 191

Calls

Call 1

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

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

simplify49.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

820×	`fma-def_binary64`
793×	`distribute-rgt-in_binary64`
160×	`distribute-rgt-neg-out_binary64`
146×	`unswap-sqr_binary64`
111×	`+-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	184	1967
1	582	1598
2	2114	1534

Stop Event

1×	node limit

Counts

291 → 270

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

prune339.0ms (4.4%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	267	3	270
Fresh	1	9	10
Picked	0	1	1
Done	0	0	0
Total	268	13	281

Error

5.5b

Counts

281 → 13

Alt Table

Status	Error	Program
	44.8b	(/.f64 (fma.f64 b_2 -2 (/.f64 1/2 (/.f64 (/.f64 b_2 c) a))) a)
	50.1b	(cbrt.f64 (pow.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) 3))
	38.9b	(*.f64 -1/2 (/.f64 c b_2))
	44.6b	(/.f64 (*.f64 -2 b_2) a)
▶	35.6b	(pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) -1)
	35.8b	(.f64 (sqrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) (.f64 (sqrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) (/.f64 1 a)))
✓	35.5b	(/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (*.f64 a c))))) b_2) a)
	43.7b	(/.f64 (/.f64 c (/.f64 (/.f64 b_2 a) -1/2)) a)
	56.3b	(/.f64 (-.f64 b_2 b_2) a)
	49.6b	(/.f64 (exp.f64 (log.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (fma.f64 a c (*.f64 a (+.f64 c c))))) b_2))) a)
	52.9b	(/.f64 (-.f64 (exp.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (fma.f64 a c (*.f64 a (+.f64 c c))))))) b_2) a)
	37.9b	(fma.f64 (/.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 1) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (neg.f64 (/.f64 b_2 a)))
	40.1b	(fma.f64 -1/8 (.f64 (.f64 (/.f64 c (pow.f64 b_2 3)) c) a) (*.f64 -1/2 (/.f64 c b_2)))

Compiler

Compiled 7678 to 2764 computations (64% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) -1)
	0.6b	(-.f64 (.f64 b_2 b_2) (.f64 a c))
	2.4b	(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)
	26.0b	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

series27.0ms (0.3%)

Counts

1 → 20

Calls

9 calls:

Time	Variable		Point	Expression
10.0ms	c	@	inf	(pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) -1)
3.0ms	a	@	-inf	(pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) -1)
3.0ms	a	@	inf	(pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) -1)
2.0ms	a	@	0	(pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) -1)
2.0ms	c	@	-inf	(pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) -1)

rewrite49.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

323×	`fma-neg_binary64`
238×	`expm1-udef_binary64`
238×	`log1p-udef_binary64`
143×	`add-sqr-sqrt_binary64`
139×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	21
1	277	18
2	3950	18

Stop Event

1×	node limit

Counts

1 → 46

Calls

Call 1

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

Outputs

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

simplify47.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

309×	`associate-r_binary64`
254×	`fma-def_binary64`
235×	`associate-l_binary64`
207×	`*-commutative_binary64`
144×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	236	1493
1	851	1407
2	3928	1385

Stop Event

1×	node limit

Counts

66 → 77

Calls

Call 1

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

Outputs
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 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 (.f64 -1/2 c) b_2))
(fma.f64 -1/2 (/.f64 c b_2) (/.f64 -1/8 (/.f64 (pow.f64 b_2 3) (.f64 c (.f64 c a)))))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 c 2) (+.f64 (.f64 -1/4 (/.f64 c (pow.f64 b_2 3))) (.f64 1/8 (/.f64 c (pow.f64 b_2 3))))) (pow.f64 b_2 2))) (.f64 1/32 (/.f64 (pow.f64 c 3) (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 (.f64 (.f64 a a) (fma.f64 -1/4 (/.f64 (.f64 c c) (/.f64 (.f64 b_2 b_2) (.f64 (/.f64 c (pow.f64 b_2 3)) -1/8))) (.f64 1/32 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))))) (/.f64 (.f64 -1/2 c) b_2)))
(fma.f64 -1/8 (.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) c)) a) (-.f64 (.f64 -1/2 (/.f64 c b_2)) (.f64 (.f64 a a) (fma.f64 1/32 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (/.f64 (.f64 (.f64 (.f64 c c) -1/4) (.f64 -1/8 (/.f64 c (pow.f64 b_2 3)))) (*.f64 b_2 b_2))))))
(-.f64 (fma.f64 -1/2 (/.f64 c b_2) (/.f64 -1/8 (/.f64 (pow.f64 b_2 3) (.f64 c (.f64 c a))))) (.f64 (.f64 a a) (fma.f64 1/32 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (/.f64 (.f64 (.f64 (.f64 c c) -1/4) (.f64 -1/8 (/.f64 c (pow.f64 b_2 3)))) (*.f64 b_2 b_2)))))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (.f64 1/4 (/.f64 (.f64 c (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 c 2) (+.f64 (.f64 -1/4 (/.f64 c (pow.f64 b_2 3))) (.f64 1/8 (/.f64 c (pow.f64 b_2 3))))) (pow.f64 b_2 2))) (.f64 1/32 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))))) (pow.f64 b_2 2))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (+.f64 (.f64 -1/4 (/.f64 c (pow.f64 b_2 3))) (.f64 1/8 (/.f64 c (pow.f64 b_2 3))))) (pow.f64 b_2 4))) (.f64 -1/4 (/.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (.f64 c (+.f64 (.f64 -1/4 (/.f64 c (pow.f64 b_2 3))) (.f64 1/8 (/.f64 c (pow.f64 b_2 3))))) (pow.f64 b_2 2))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 c 2) (pow.f64 b_2 5))) (.f64 -2 (/.f64 (.f64 (+.f64 (pow.f64 (.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 3))) 2) (.f64 1/16 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)))) b_2) (pow.f64 c 2))))) (pow.f64 c 2)) (pow.f64 b_2 2))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 c 2) (+.f64 (.f64 -1/4 (/.f64 c (pow.f64 b_2 3))) (.f64 1/8 (/.f64 c (pow.f64 b_2 3))))) (pow.f64 b_2 2))) (.f64 1/32 (/.f64 (pow.f64 c 3) (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 (.f64 (pow.f64 a 3) (fma.f64 1/4 (/.f64 c (/.f64 (.f64 b_2 b_2) (fma.f64 -1/4 (/.f64 (.f64 c c) (/.f64 (.f64 b_2 b_2) (.f64 (/.f64 c (pow.f64 b_2 3)) -1/8))) (.f64 1/32 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)))))) (fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 4) (.f64 (/.f64 c (pow.f64 b_2 3)) -1/8))) (.f64 -1/4 (/.f64 (fma.f64 -1/4 (/.f64 c (/.f64 (.f64 b_2 b_2) (.f64 (/.f64 c (pow.f64 b_2 3)) -1/8))) (fma.f64 1/16 (/.f64 (.f64 c c) (pow.f64 b_2 5)) (.f64 -2 (/.f64 (+.f64 (pow.f64 (.f64 -1/8 (/.f64 (.f64 c c) (pow.f64 b_2 3))) 2) (.f64 1/16 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)))) (/.f64 (.f64 c c) b_2))))) (/.f64 (.f64 b_2 b_2) (.f64 c c))))))) (fma.f64 -1 (.f64 (.f64 a a) (fma.f64 -1/4 (/.f64 (.f64 c c) (/.f64 (.f64 b_2 b_2) (.f64 (/.f64 c (pow.f64 b_2 3)) -1/8))) (.f64 1/32 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))))) (/.f64 (.f64 -1/2 c) b_2))))
(fma.f64 -1/8 (.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) c)) a) (-.f64 (-.f64 (.f64 -1/2 (/.f64 c b_2)) (.f64 (.f64 a a) (fma.f64 1/32 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (/.f64 (.f64 (.f64 (.f64 c c) -1/4) (.f64 -1/8 (/.f64 c (pow.f64 b_2 3)))) (.f64 b_2 b_2))))) (.f64 (pow.f64 a 3) (fma.f64 1/4 (.f64 (/.f64 c (.f64 b_2 b_2)) (fma.f64 1/32 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (/.f64 (.f64 (.f64 (.f64 c c) -1/4) (.f64 -1/8 (/.f64 c (pow.f64 b_2 3)))) (.f64 b_2 b_2)))) (fma.f64 -1/4 (/.f64 (.f64 c c) (/.f64 (.f64 b_2 b_2) (fma.f64 -1/4 (.f64 (/.f64 c (.f64 b_2 b_2)) (.f64 -1/8 (/.f64 c (pow.f64 b_2 3)))) (fma.f64 1/16 (/.f64 c (/.f64 (pow.f64 b_2 5) c)) (.f64 -2 (.f64 (/.f64 (fma.f64 1/16 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)) (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)) 1/64)) (.f64 c c)) b_2)))))) (.f64 -1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 4)) (*.f64 -1/8 (/.f64 c (pow.f64 b_2 3))))))))))
(-.f64 (-.f64 (fma.f64 -1/2 (/.f64 c b_2) (/.f64 -1/8 (/.f64 (pow.f64 b_2 3) (.f64 c (.f64 c a))))) (.f64 (.f64 a a) (fma.f64 1/32 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (/.f64 (.f64 (.f64 (.f64 c c) -1/4) (.f64 -1/8 (/.f64 c (pow.f64 b_2 3)))) (.f64 b_2 b_2))))) (.f64 (pow.f64 a 3) (fma.f64 1/4 (.f64 (/.f64 c (.f64 b_2 b_2)) (fma.f64 1/32 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (/.f64 (.f64 (.f64 (.f64 c c) -1/4) (.f64 -1/8 (/.f64 c (pow.f64 b_2 3)))) (.f64 b_2 b_2)))) (fma.f64 -1/4 (/.f64 (.f64 c c) (/.f64 (.f64 b_2 b_2) (fma.f64 -1/4 (.f64 (/.f64 c (.f64 b_2 b_2)) (.f64 -1/8 (/.f64 c (pow.f64 b_2 3)))) (fma.f64 1/16 (/.f64 c (/.f64 (pow.f64 b_2 5) c)) (.f64 -2 (.f64 (/.f64 (fma.f64 1/16 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)) (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)) 1/64)) (.f64 c c)) b_2)))))) (.f64 -1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 4)) (*.f64 -1/8 (/.f64 c (pow.f64 b_2 3)))))))))
(/.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) a)
(/.f64 (sqrt.f64 (*.f64 (neg.f64 c) a)) a)
(/.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) a)
(+.f64 (.f64 -1 (/.f64 b_2 a)) (/.f64 (sqrt.f64 (neg.f64 (.f64 c a))) a))
(fma.f64 -1 (/.f64 b_2 a) (/.f64 (sqrt.f64 (*.f64 (neg.f64 c) a)) a))
(-.f64 (/.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) a) (/.f64 b_2 a))
(+.f64 (.f64 (-.f64 (/.f64 1 (.f64 (sqrt.f64 (neg.f64 (.f64 c a))) a)) (.f64 -1 (/.f64 (.f64 (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 2) (+.f64 (.f64 -1 (/.f64 a (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 3))) (.f64 1/2 (/.f64 a (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 3))))) (pow.f64 a 2)))) (pow.f64 b_2 2)) (+.f64 (.f64 -1 (/.f64 b_2 a)) (/.f64 (sqrt.f64 (neg.f64 (.f64 c a))) a)))
(fma.f64 (-.f64 (/.f64 (/.f64 1 (sqrt.f64 (.f64 (neg.f64 c) a))) a) (neg.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 (neg.f64 c) a)) 2) (/.f64 (.f64 a a) (.f64 (/.f64 a (pow.f64 (sqrt.f64 (.f64 (neg.f64 c) a)) 3)) -1/2))))) (.f64 b_2 b_2) (fma.f64 -1 (/.f64 b_2 a) (/.f64 (sqrt.f64 (*.f64 (neg.f64 c) a)) a)))
(fma.f64 (.f64 b_2 b_2) (+.f64 (/.f64 (/.f64 1 a) (sqrt.f64 (.f64 c (neg.f64 a)))) (.f64 (/.f64 (.f64 -1/2 (/.f64 a (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 3))) a) (/.f64 (.f64 c (neg.f64 a)) a))) (-.f64 (/.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) a) (/.f64 b_2 a)))
(fma.f64 (.f64 b_2 b_2) (-.f64 (/.f64 (/.f64 1 a) (sqrt.f64 (.f64 c (neg.f64 a)))) (/.f64 (.f64 c a) (/.f64 a (/.f64 (.f64 -1/2 (/.f64 a (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 3))) a)))) (-.f64 (/.f64 (sqrt.f64 (.f64 c (neg.f64 a))) a) (/.f64 b_2 a)))
(+.f64 (.f64 (-.f64 (.f64 -1 (/.f64 (.f64 (sqrt.f64 (neg.f64 (.f64 c a))) (+.f64 (.f64 -1 (/.f64 a (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 3))) (.f64 1/2 (/.f64 a (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 3))))) (pow.f64 a 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 2) (+.f64 (.f64 -1 (/.f64 a (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 4))) (/.f64 a (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 4)))) (pow.f64 a 2))) (+.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 2) a)) (/.f64 (.f64 (sqrt.f64 (neg.f64 (.f64 c a))) (+.f64 (.f64 -1 (/.f64 a (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 3))) (.f64 1/2 (/.f64 a (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 3))))) (pow.f64 a 2))))) (pow.f64 b_2 3)) (+.f64 (.f64 (-.f64 (/.f64 1 (.f64 (sqrt.f64 (neg.f64 (.f64 c a))) a)) (.f64 -1 (/.f64 (.f64 (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 2) (+.f64 (.f64 -1 (/.f64 a (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 3))) (.f64 1/2 (/.f64 a (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 3))))) (pow.f64 a 2)))) (pow.f64 b_2 2)) (+.f64 (.f64 -1 (/.f64 b_2 a)) (/.f64 (sqrt.f64 (neg.f64 (.f64 c a))) a))))
(fma.f64 (-.f64 (neg.f64 (/.f64 (sqrt.f64 (.f64 (neg.f64 c) a)) (/.f64 (.f64 a a) (.f64 (/.f64 a (pow.f64 (sqrt.f64 (.f64 (neg.f64 c) a)) 3)) -1/2)))) (fma.f64 -1 (/.f64 (pow.f64 (sqrt.f64 (.f64 (neg.f64 c) a)) 2) (/.f64 (.f64 a a) (.f64 0 (/.f64 a (pow.f64 (sqrt.f64 (.f64 (neg.f64 c) a)) 4))))) (+.f64 (/.f64 (sqrt.f64 (.f64 (neg.f64 c) a)) (/.f64 (.f64 a a) (.f64 (/.f64 a (pow.f64 (sqrt.f64 (.f64 (neg.f64 c) a)) 3)) -1/2))) (/.f64 1 (.f64 a (pow.f64 (sqrt.f64 (.f64 (neg.f64 c) a)) 2)))))) (pow.f64 b_2 3) (fma.f64 (-.f64 (/.f64 (/.f64 1 (sqrt.f64 (.f64 (neg.f64 c) a))) a) (neg.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 (neg.f64 c) a)) 2) (/.f64 (.f64 a a) (.f64 (/.f64 a (pow.f64 (sqrt.f64 (.f64 (neg.f64 c) a)) 3)) -1/2))))) (.f64 b_2 b_2) (fma.f64 -1 (/.f64 b_2 a) (/.f64 (sqrt.f64 (*.f64 (neg.f64 c) a)) a))))
(fma.f64 (pow.f64 b_2 3) (-.f64 (fma.f64 -1 (.f64 (/.f64 (sqrt.f64 (.f64 c (neg.f64 a))) a) (/.f64 (.f64 -1/2 (/.f64 a (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 3))) a)) (.f64 (/.f64 (.f64 c (neg.f64 a)) (.f64 a a)) 0)) (+.f64 (.f64 (/.f64 (sqrt.f64 (.f64 c (neg.f64 a))) a) (/.f64 (.f64 -1/2 (/.f64 a (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 3))) a)) (/.f64 1 (.f64 a (.f64 c (neg.f64 a)))))) (fma.f64 (.f64 b_2 b_2) (+.f64 (/.f64 (/.f64 1 a) (sqrt.f64 (.f64 c (neg.f64 a)))) (.f64 (/.f64 (.f64 -1/2 (/.f64 a (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 3))) a) (/.f64 (.f64 c (neg.f64 a)) a))) (-.f64 (/.f64 (sqrt.f64 (.f64 c (neg.f64 a))) a) (/.f64 b_2 a))))
(fma.f64 (pow.f64 b_2 3) (-.f64 (/.f64 (/.f64 (.f64 (.f64 a 1/2) (sqrt.f64 (.f64 c (neg.f64 a)))) (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 3)) (.f64 a a)) (+.f64 (.f64 (/.f64 (sqrt.f64 (.f64 c (neg.f64 a))) a) (/.f64 (.f64 -1/2 (/.f64 a (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 3))) a)) (/.f64 1 (.f64 a (.f64 c (neg.f64 a)))))) (fma.f64 (.f64 b_2 b_2) (-.f64 (/.f64 (/.f64 1 a) (sqrt.f64 (.f64 c (neg.f64 a)))) (/.f64 (.f64 c a) (/.f64 a (/.f64 (.f64 -1/2 (/.f64 a (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 3))) a)))) (-.f64 (/.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) a) (/.f64 b_2 a))))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 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 (.f64 -1/2 c) b_2))
(fma.f64 -1/2 (/.f64 c b_2) (/.f64 -1/8 (/.f64 (pow.f64 b_2 3) (.f64 c (.f64 c a)))))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/32 (.f64 (pow.f64 c 3) (pow.f64 a 2))) (.f64 -1/4 (.f64 (pow.f64 c 2) (+.f64 (.f64 1/8 (.f64 c (pow.f64 a 2))) (.f64 -1/4 (.f64 c (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 (/.f64 (fma.f64 1/32 (.f64 (.f64 a a) (pow.f64 c 3)) (.f64 (.f64 -1/4 (.f64 c c)) (.f64 (.f64 c (.f64 a a)) -1/8))) (pow.f64 b_2 5)) (/.f64 (.f64 -1/2 c) b_2)))
(fma.f64 -1/8 (.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) c)) a) (-.f64 (.f64 -1/2 (/.f64 c b_2)) (/.f64 (fma.f64 -1/4 (.f64 (.f64 (.f64 a a) (pow.f64 c 3)) -1/8) (.f64 1/32 (.f64 (.f64 a a) (pow.f64 c 3)))) (pow.f64 b_2 5))))
(-.f64 (fma.f64 -1/2 (/.f64 c b_2) (/.f64 -1/8 (/.f64 (pow.f64 b_2 3) (.f64 c (.f64 c a))))) (/.f64 (fma.f64 -1/4 (.f64 (.f64 (.f64 a a) (pow.f64 c 3)) -1/8) (.f64 1/32 (.f64 (.f64 a a) (pow.f64 c 3)))) (pow.f64 b_2 5)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/4 (.f64 c (.f64 a (+.f64 (.f64 1/32 (.f64 (pow.f64 c 3) (pow.f64 a 2))) (.f64 -1/4 (.f64 (pow.f64 c 2) (+.f64 (.f64 1/8 (.f64 c (pow.f64 a 2))) (.f64 -1/4 (.f64 c (pow.f64 a 2)))))))))) (+.f64 (.f64 -1/16 (.f64 (pow.f64 c 3) (.f64 a (+.f64 (.f64 1/8 (.f64 c (pow.f64 a 2))) (.f64 -1/4 (.f64 c (pow.f64 a 2))))))) (.f64 -1/4 (.f64 (pow.f64 c 2) (+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 c 4) (pow.f64 a 4))) (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2)) (.f64 (pow.f64 c 2) a))) (+.f64 (.f64 1/16 (.f64 (pow.f64 c 2) (pow.f64 a 3))) (.f64 -1/4 (.f64 c (.f64 a (+.f64 (.f64 1/8 (.f64 c (pow.f64 a 2))) (.f64 -1/4 (.f64 c (pow.f64 a 2))))))))))))) (pow.f64 b_2 7))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/32 (.f64 (pow.f64 c 3) (pow.f64 a 2))) (.f64 -1/4 (.f64 (pow.f64 c 2) (+.f64 (.f64 1/8 (.f64 c (pow.f64 a 2))) (.f64 -1/4 (.f64 c (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 (/.f64 (fma.f64 1/4 (.f64 c (.f64 a (fma.f64 1/32 (.f64 (.f64 a a) (pow.f64 c 3)) (.f64 (.f64 -1/4 (.f64 c c)) (.f64 (.f64 c (.f64 a a)) -1/8))))) (fma.f64 -1/16 (.f64 (pow.f64 c 3) (.f64 a (.f64 (.f64 c (.f64 a a)) -1/8))) (.f64 (.f64 -1/4 (.f64 c c)) (fma.f64 -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 (.f64 c c) a)) (fma.f64 1/16 (.f64 (.f64 c c) (pow.f64 a 3)) (.f64 -1/4 (.f64 c (.f64 a (.f64 (.f64 c (.f64 a a)) -1/8))))))))) (pow.f64 b_2 7)) (fma.f64 -1 (/.f64 (fma.f64 1/32 (.f64 (.f64 a a) (pow.f64 c 3)) (.f64 (.f64 -1/4 (.f64 c c)) (.f64 (.f64 c (.f64 a a)) -1/8))) (pow.f64 b_2 5)) (/.f64 (*.f64 -1/2 c) b_2))))
(fma.f64 -1/8 (.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) c)) a) (-.f64 (-.f64 (.f64 -1/2 (/.f64 c b_2)) (/.f64 (fma.f64 -1/4 (.f64 (.f64 (.f64 a a) (pow.f64 c 3)) -1/8) (.f64 1/32 (.f64 (.f64 a a) (pow.f64 c 3)))) (pow.f64 b_2 5))) (/.f64 (fma.f64 1/4 (.f64 c (.f64 a (fma.f64 -1/4 (.f64 (.f64 (.f64 a a) (pow.f64 c 3)) -1/8) (.f64 1/32 (.f64 (.f64 a a) (pow.f64 c 3)))))) (fma.f64 -1/4 (.f64 (.f64 c c) (fma.f64 -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 c (.f64 c a))) (fma.f64 -1/4 (.f64 (.f64 c a) (.f64 c (.f64 -1/8 (.f64 a a)))) (.f64 (pow.f64 a 3) (.f64 (.f64 1/16 c) c))))) (.f64 (pow.f64 c 3) (.f64 (.f64 a (.f64 c (.f64 -1/8 (*.f64 a a)))) -1/16)))) (pow.f64 b_2 7))))
(-.f64 (-.f64 (fma.f64 -1/2 (/.f64 c b_2) (/.f64 -1/8 (/.f64 (pow.f64 b_2 3) (.f64 c (.f64 c a))))) (/.f64 (fma.f64 -1/4 (.f64 (.f64 (.f64 a a) (pow.f64 c 3)) -1/8) (.f64 1/32 (.f64 (.f64 a a) (pow.f64 c 3)))) (pow.f64 b_2 5))) (/.f64 (fma.f64 1/4 (.f64 c (.f64 a (fma.f64 -1/4 (.f64 (.f64 (.f64 a a) (pow.f64 c 3)) -1/8) (.f64 1/32 (.f64 (.f64 a a) (pow.f64 c 3)))))) (fma.f64 -1/4 (.f64 (.f64 c c) (fma.f64 -2 (/.f64 (fma.f64 1/16 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (.f64 (pow.f64 a 4) (.f64 (pow.f64 c 4) 1/64))) (.f64 c (.f64 c a))) (fma.f64 -1/4 (.f64 (.f64 c a) (.f64 c (.f64 -1/8 (.f64 a a)))) (.f64 (pow.f64 a 3) (.f64 (.f64 1/16 c) c))))) (.f64 (pow.f64 c 3) (.f64 (.f64 a (.f64 c (.f64 -1/8 (*.f64 a a)))) -1/16)))) (pow.f64 b_2 7)))
(*.f64 -2 (/.f64 b_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 c b_2) 1/2))
(fma.f64 -2 (/.f64 b_2 a) (/.f64 (*.f64 c 1/2) b_2))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (.f64 1/2 (/.f64 c b_2)) (.f64 1/4 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))))))
(fma.f64 -2 (/.f64 b_2 a) (fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (fma.f64 1/2 (/.f64 c b_2) (.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) a)) 1/4))))
(fma.f64 -2 (/.f64 b_2 a) (fma.f64 -1/8 (.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) c)) a) (fma.f64 (/.f64 c b_2) 1/2 (/.f64 (.f64 c (*.f64 c a)) (/.f64 (pow.f64 b_2 3) 1/4)))))
(+.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 -4 (/.f64 (+.f64 (.f64 -1/128 (.f64 (pow.f64 c 3) (pow.f64 a 4))) (.f64 -1/32 (.f64 (pow.f64 c 3) (pow.f64 a 4)))) (.f64 (pow.f64 a 2) (pow.f64 b_2 5)))) (+.f64 (.f64 -1/4 (/.f64 (.f64 c (.f64 a (+.f64 (.f64 1/4 (.f64 (pow.f64 c 2) a)) (.f64 -1/8 (.f64 (pow.f64 c 2) a))))) (pow.f64 b_2 5))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (+.f64 (.f64 1/2 (/.f64 c b_2)) (.f64 1/4 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3)))))))))
(fma.f64 -2 (/.f64 b_2 a) (fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (fma.f64 -4 (/.f64 (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 4)) -5/128) (.f64 (.f64 a a) (pow.f64 b_2 5))) (fma.f64 -1/4 (/.f64 c (/.f64 (pow.f64 b_2 5) (.f64 a (.f64 (.f64 (.f64 c c) a) 1/8)))) (fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (.f64 a a))) (fma.f64 1/2 (/.f64 c b_2) (.f64 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) 1/4)))))))
(fma.f64 -2 (/.f64 b_2 a) (fma.f64 -1/8 (.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) c)) a) (fma.f64 -4 (.f64 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 4)) (.f64 a a)) (/.f64 -5/128 (pow.f64 b_2 5))) (fma.f64 -1/4 (.f64 (/.f64 c (pow.f64 b_2 5)) (.f64 a (.f64 (.f64 c c) (.f64 a 1/8)))) (fma.f64 -1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (.f64 a a)) (fma.f64 (/.f64 c b_2) 1/2 (/.f64 (.f64 c (*.f64 c a)) (/.f64 (pow.f64 b_2 3) 1/4))))))))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 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 (.f64 -1/2 c) b_2))
(fma.f64 -1/2 (/.f64 c b_2) (/.f64 -1/8 (/.f64 (pow.f64 b_2 3) (.f64 c (.f64 c a)))))
(+.f64 (.f64 -1 (.f64 (pow.f64 c 3) (+.f64 (.f64 -1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (pow.f64 a 2) (pow.f64 b_2 3))) (.f64 -1/4 (/.f64 (pow.f64 a 2) (pow.f64 b_2 3)))) (pow.f64 b_2 2))) (.f64 1/32 (/.f64 (pow.f64 a 2) (pow.f64 b_2 5)))))) (+.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 (.f64 (pow.f64 c 3) (fma.f64 -1/4 (/.f64 (.f64 -1/8 (/.f64 (.f64 a a) (pow.f64 b_2 3))) (.f64 b_2 b_2)) (.f64 1/32 (/.f64 (.f64 a a) (pow.f64 b_2 5))))) (fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (/.f64 (.f64 -1/2 c) b_2)))
(fma.f64 (neg.f64 (pow.f64 c 3)) (fma.f64 1/32 (/.f64 a (/.f64 (pow.f64 b_2 5) a)) (/.f64 (.f64 1/32 (/.f64 (.f64 a a) (pow.f64 b_2 3))) (.f64 b_2 b_2))) (fma.f64 -1/2 (/.f64 c b_2) (/.f64 -1/8 (/.f64 (pow.f64 b_2 3) (.f64 c (*.f64 c a))))))
(+.f64 (.f64 -1 (.f64 (pow.f64 c 3) (+.f64 (.f64 -1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (pow.f64 a 2) (pow.f64 b_2 3))) (.f64 -1/4 (/.f64 (pow.f64 a 2) (pow.f64 b_2 3)))) (pow.f64 b_2 2))) (.f64 1/32 (/.f64 (pow.f64 a 2) (pow.f64 b_2 5)))))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (.f64 -1 (.f64 (pow.f64 c 4) (+.f64 (.f64 -1/16 (/.f64 (.f64 a (+.f64 (.f64 1/8 (/.f64 (pow.f64 a 2) (pow.f64 b_2 3))) (.f64 -1/4 (/.f64 (pow.f64 a 2) (pow.f64 b_2 3))))) (pow.f64 b_2 4))) (+.f64 (.f64 -1/4 (/.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 a 3) (pow.f64 b_2 5))) (+.f64 (.f64 -2 (/.f64 (.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 a 4) (pow.f64 b_2 6))) (pow.f64 (.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 b_2 3))) 2)) b_2) a)) (.f64 -1/4 (/.f64 (.f64 a (+.f64 (.f64 1/8 (/.f64 (pow.f64 a 2) (pow.f64 b_2 3))) (.f64 -1/4 (/.f64 (pow.f64 a 2) (pow.f64 b_2 3))))) (pow.f64 b_2 2))))) (pow.f64 b_2 2))) (.f64 1/4 (/.f64 (.f64 a (+.f64 (.f64 -1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (pow.f64 a 2) (pow.f64 b_2 3))) (.f64 -1/4 (/.f64 (pow.f64 a 2) (pow.f64 b_2 3)))) (pow.f64 b_2 2))) (.f64 1/32 (/.f64 (pow.f64 a 2) (pow.f64 b_2 5))))) (pow.f64 b_2 2))))))) (*.f64 -1/2 (/.f64 c b_2)))))
(fma.f64 -1 (.f64 (pow.f64 c 3) (fma.f64 -1/4 (/.f64 (.f64 -1/8 (/.f64 (.f64 a a) (pow.f64 b_2 3))) (.f64 b_2 b_2)) (.f64 1/32 (/.f64 (.f64 a a) (pow.f64 b_2 5))))) (fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (fma.f64 -1 (.f64 (pow.f64 c 4) (fma.f64 -1/16 (/.f64 a (/.f64 (pow.f64 b_2 4) (.f64 -1/8 (/.f64 (.f64 a a) (pow.f64 b_2 3))))) (fma.f64 -1/4 (/.f64 (fma.f64 1/16 (/.f64 (pow.f64 a 3) (pow.f64 b_2 5)) (fma.f64 -2 (/.f64 (fma.f64 1/16 (/.f64 (pow.f64 a 4) (pow.f64 b_2 6)) (pow.f64 (.f64 -1/8 (/.f64 (.f64 a a) (pow.f64 b_2 3))) 2)) (/.f64 a b_2)) (.f64 -1/4 (/.f64 a (/.f64 (.f64 b_2 b_2) (.f64 -1/8 (/.f64 (.f64 a a) (pow.f64 b_2 3)))))))) (.f64 b_2 b_2)) (.f64 1/4 (/.f64 a (/.f64 (.f64 b_2 b_2) (fma.f64 -1/4 (/.f64 (.f64 -1/8 (/.f64 (.f64 a a) (pow.f64 b_2 3))) (.f64 b_2 b_2)) (.f64 1/32 (/.f64 (.f64 a a) (pow.f64 b_2 5)))))))))) (/.f64 (*.f64 -1/2 c) b_2))))
(-.f64 (fma.f64 -1/8 (.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) c)) a) (-.f64 (.f64 -1/2 (/.f64 c b_2)) (.f64 (pow.f64 c 4) (fma.f64 -1/16 (.f64 (/.f64 a (pow.f64 b_2 4)) (.f64 -1/8 (/.f64 (.f64 a a) (pow.f64 b_2 3)))) (fma.f64 -1/4 (/.f64 (fma.f64 1/16 (/.f64 (pow.f64 a 3) (pow.f64 b_2 5)) (fma.f64 -2 (.f64 (/.f64 (fma.f64 1/16 (/.f64 (pow.f64 a 4) (pow.f64 b_2 6)) (.f64 (/.f64 (pow.f64 a 4) (pow.f64 b_2 6)) 1/64)) a) b_2) (/.f64 (.f64 (.f64 1/32 (/.f64 (.f64 a a) (pow.f64 b_2 3))) a) (.f64 b_2 b_2)))) (.f64 b_2 b_2)) (.f64 1/4 (.f64 (/.f64 a (.f64 b_2 b_2)) (fma.f64 1/32 (/.f64 a (/.f64 (pow.f64 b_2 5) a)) (/.f64 (.f64 1/32 (/.f64 (.f64 a a) (pow.f64 b_2 3))) (.f64 b_2 b_2)))))))))) (.f64 (pow.f64 c 3) (fma.f64 1/32 (/.f64 a (/.f64 (pow.f64 b_2 5) a)) (/.f64 (.f64 1/32 (/.f64 (.f64 a a) (pow.f64 b_2 3))) (*.f64 b_2 b_2)))))
(-.f64 (fma.f64 (neg.f64 (pow.f64 c 3)) (fma.f64 1/32 (/.f64 a (/.f64 (pow.f64 b_2 5) a)) (/.f64 (.f64 1/32 (/.f64 (.f64 a a) (pow.f64 b_2 3))) (.f64 b_2 b_2))) (fma.f64 -1/2 (/.f64 c b_2) (/.f64 -1/8 (/.f64 (pow.f64 b_2 3) (.f64 c (.f64 c a)))))) (.f64 (pow.f64 c 4) (fma.f64 -1/16 (.f64 (/.f64 a (pow.f64 b_2 4)) (.f64 -1/8 (/.f64 (.f64 a a) (pow.f64 b_2 3)))) (fma.f64 -1/4 (/.f64 (fma.f64 1/16 (/.f64 (pow.f64 a 3) (pow.f64 b_2 5)) (fma.f64 -2 (.f64 (/.f64 (fma.f64 1/16 (/.f64 (pow.f64 a 4) (pow.f64 b_2 6)) (.f64 (/.f64 (pow.f64 a 4) (pow.f64 b_2 6)) 1/64)) a) b_2) (/.f64 (.f64 (.f64 1/32 (/.f64 (.f64 a a) (pow.f64 b_2 3))) a) (.f64 b_2 b_2)))) (.f64 b_2 b_2)) (.f64 1/4 (.f64 (/.f64 a (.f64 b_2 b_2)) (fma.f64 1/32 (/.f64 a (/.f64 (pow.f64 b_2 5) a)) (/.f64 (.f64 1/32 (/.f64 (.f64 a a) (pow.f64 b_2 3))) (.f64 b_2 b_2)))))))))

prune831.0ms (10.7%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	394	3	397
Fresh	4	7	11
Picked	0	1	1
Done	0	1	1
Total	398	12	410

Error

5.5b

Counts

410 → 12

Alt Table

Status	Error	Program
	44.8b	(/.f64 (fma.f64 b_2 -2 (/.f64 1/2 (/.f64 (/.f64 b_2 c) a))) a)
	38.9b	(*.f64 -1/2 (/.f64 c b_2))
▶	35.8b	(/.f64 (sqrt.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a)))) b_2)) (/.f64 a (sqrt.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a)))) b_2))))
	40.1b	(fma.f64 -1/8 (.f64 (.f64 (/.f64 c (pow.f64 b_2 3)) c) a) (*.f64 -1/2 (/.f64 c b_2)))
	43.7b	(/.f64 (/.f64 c (/.f64 (/.f64 b_2 a) -1/2)) a)
	56.3b	(/.f64 (-.f64 b_2 b_2) a)
	49.6b	(/.f64 (exp.f64 (log.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (fma.f64 a c (*.f64 a (+.f64 c c))))) b_2))) a)
✓	35.6b	(pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) -1)
	52.9b	(/.f64 (-.f64 (exp.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (fma.f64 a c (*.f64 a (+.f64 c c))))))) b_2) a)
✓	35.5b	(/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (*.f64 a c))))) b_2) a)
	47.6b	(/.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (.f64 a c))) (.f64 a (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a)))))))
	44.7b	(pow.f64 (/.f64 a (*.f64 b_2 -2)) -1)

Compiler

Compiled 12036 to 4828 computations (59.9% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (sqrt.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a)))) b_2)) (/.f64 a (sqrt.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a)))) b_2))))
✓	0.8b	(fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))
✓	2.4b	(-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2)
✓	26.0b	(sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a))))

series15.0ms (0.2%)

Counts

4 → 96

Calls

36 calls:

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

rewrite108.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

756×	`prod-diff_binary64`
155×	`egg-rr`
136×	`add-sqr-sqrt_binary64`
132×	`*-un-lft-identity_binary64`
132×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	76
1	264	44
2	3775	44

Stop Event

1×	node limit

Counts

4 → 289

Calls

Call 1

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

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

simplify59.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

715×	`fma-def_binary64`
678×	`associate-/l*_binary64`
543×	`associate-/r*_binary64`
324×	`associate-*l/_binary64`
164×	`associate-/r/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	158	2317
1	500	2241
2	1736	2145

Stop Event

1×	node limit

Counts

385 → 368

Calls

Call 1

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

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

prune1.2s (15.5%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	668	1	669
Fresh	2	7	9
Picked	0	1	1
Done	0	2	2
Total	670	11	681

Error

5.4b

Counts

681 → 11

Alt Table

Status	Error	Program
	44.8b	(/.f64 (fma.f64 b_2 -2 (/.f64 1/2 (/.f64 (/.f64 b_2 c) a))) a)
	38.9b	(*.f64 -1/2 (/.f64 c b_2))
	44.7b	(pow.f64 (/.f64 a (*.f64 b_2 -2)) -1)
	53.9b	(/.f64 (sqrt.f64 (fma.f64 1/2 (.f64 (/.f64 c b_2) a) (.f64 b_2 -2))) (/.f64 a (sqrt.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2))))
✓	35.8b	(/.f64 (sqrt.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a)))) b_2)) (/.f64 a (sqrt.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a)))) b_2))))
	40.1b	(fma.f64 -1/8 (.f64 (.f64 (/.f64 c (pow.f64 b_2 3)) c) a) (*.f64 -1/2 (/.f64 c b_2)))
	43.7b	(/.f64 (/.f64 c (/.f64 (/.f64 b_2 a) -1/2)) a)
	56.3b	(/.f64 (-.f64 b_2 b_2) a)
✓	35.6b	(pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) -1)
✓	35.5b	(/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (*.f64 a c))))) b_2) a)
	47.6b	(/.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (.f64 a c))) (.f64 a (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a)))))))

Compiler

Compiled 25505 to 7026 computations (72.5% saved)

regimes322.0ms (4.1%)

Accuracy

Total -55.6b remaining (-661.3%)

Threshold costs -55.6b (-661.3%)

Counts

20 → 3

Calls

Call 1

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

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

Results

122.0ms	29.8b	`a`
32.0ms	8.4b	`b_2`
121.0ms	28.1b	`c`
39.0ms	14.6b	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`

Compiler

Compiled 328 to 123 computations (62.5% saved)

bsearch271.0ms (3.5%)

Algorithm

2×	binary-search

Calls

2 calls:

194.0ms	b_2
77.0ms	b_2

Steps

Iters	Point		Range
3.2e-27	∈ [	3.166793461811804e-27	,	2.465428800006473e-22	]
-2.1e+148	∈ [	-7.682035799133125e+157	,	-2.097550092058228e+148	]

Compiler

Compiled 535 to 357 computations (33.3% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

6×	`+-commutative_binary64`
6×	`*-commutative_binary64`
6×	`sub-neg_binary64`
4×	`neg-sub0_binary64`
4×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	54
1	36	54
2	51	54
3	59	54
4	64	54
5	65	54

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 b_2 -20999999999999999892825751366275165687698317249138536736081263792459064345632643659636974437008550542481857618056144623311682081501011268411332755456) (/.f64 (fma.f64 b_2 -2 (/.f64 1/2 (/.f64 (/.f64 b_2 c) a))) a) (if (<=.f64 b_2 8920298079412249/2787593149816327892691964784081045188247552) (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a) (*.f64 -1/2 (/.f64 c b_2))))

Outputs

(if (<=.f64 b_2 -20999999999999999892825751366275165687698317249138536736081263792459064345632643659636974437008550542481857618056144623311682081501011268411332755456) (/.f64 (fma.f64 b_2 -2 (/.f64 1/2 (/.f64 (/.f64 b_2 c) a))) a) (if (<=.f64 b_2 8920298079412249/2787593149816327892691964784081045188247552) (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a) (*.f64 -1/2 (/.f64 c b_2))))

(if (<=.f64 b_2 -20999999999999999892825751366275165687698317249138536736081263792459064345632643659636974437008550542481857618056144623311682081501011268411332755456) (/.f64 (fma.f64 b_2 -2 (/.f64 1/2 (/.f64 (/.f64 b_2 c) a))) a) (if (<=.f64 b_2 8920298079412249/2787593149816327892691964784081045188247552) (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) b_2) a) (*.f64 -1/2 (/.f64 c b_2))))

end25.0ms (0.3%)

Stop Event

1×

fuel

Compiler

Compiled 80 to 50 computations (37.5% saved)

Details

analyze899.0ms (11.5%)

sample2.2s (28%)

preprocess42.0ms (0.5%)

simplify60.0ms (0.8%)

prune2.0ms (0%)

localize8.0ms (0.1%)

series26.0ms (0.3%)

rewrite94.0ms (1.2%)

simplify57.0ms (0.7%)

prune937.0ms (12%)

localize12.0ms (0.1%)

series26.0ms (0.3%)

rewrite74.0ms (0.9%)

simplify49.0ms (0.6%)

prune339.0ms (4.4%)

localize10.0ms (0.1%)

series27.0ms (0.3%)

rewrite49.0ms (0.6%)

simplify47.0ms (0.6%)

prune831.0ms (10.7%)

localize10.0ms (0.1%)

series15.0ms (0.2%)

rewrite108.0ms (1.4%)

simplify59.0ms (0.8%)

prune1.2s (15.5%)

regimes322.0ms (4.1%)

bsearch271.0ms (3.5%)

simplify3.0ms (0%)

end25.0ms (0.3%)

Profiling