Details

analyze864.0ms (15.6%)

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)

sample2.1s (37.8%)

Results

765.0ms	5361×	body	128	valid
530.0ms	1136×	body	2048	valid
271.0ms	734×	body	1024	valid
252.0ms	445×	body	4096	valid
118.0ms	1045×	body	128	invalid
112.0ms	399×	body	512	valid
37.0ms	181×	body	256	valid

preprocess36.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

869×	`fma-neg_binary64`
440×	`times-frac_binary64`
394×	`fma-def_binary64`
350×	`cancel-sign-sub-inv_binary64`
345×	`div-sub_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	80
1	82	80
2	167	80
3	390	80
4	694	80
5	1249	80
6	3263	80
0	3	3

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 16 to 10 computations (37.5% saved)

simplify61.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

518×	`div-sub_binary64`
428×	`fma-neg_binary64`
208×	`associate-/l*_binary64`
205×	`fma-def_binary64`
181×	`times-frac_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	20
1	27	20
2	57	20
3	126	20
4	216	20
5	392	20
6	662	20
7	1008	20
8	1214	20
9	1599	20
10	3126	20
11	3899	20
12	3997	20
13	4005	20
14	4013	20
15	4013	20
16	4071	20
17	4107	20
18	4137	20
19	4149	20

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

prune3.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

31.5b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	31.5b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Compiler

Compiled 48 to 30 computations (37.5% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
✓	0.8b	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	1.4b	(-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
✓	21.4b	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

series28.0ms (0.5%)

Counts

4 → 96

Calls

36 calls:

Time	Variable		Point	Expression
4.0ms	a	@	-inf	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
1.0ms	a	@	0	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
1.0ms	a	@	inf	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
1.0ms	c	@	inf	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
1.0ms	a	@	inf	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

rewrite73.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

352×	`fma-neg_binary64`
218×	`expm1-udef_binary64`
218×	`log1p-udef_binary64`
139×	`add-sqr-sqrt_binary64`
134×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	59
1	262	55
2	4065	55

Stop Event

1×	node limit

Counts

4 → 192

Calls

Call 1

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

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

simplify53.0ms (1%)

Algorithm

1×	egg-herbie

Rules

771×	`times-frac_binary64`
528×	`fma-def_binary64`
510×	`associate-/l*_binary64`
451×	`associate-l_binary64`
393×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	129	2064
1	411	2002
2	1338	1973

Stop Event

1×	node limit

Counts

288 → 268

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

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

prune227.0ms (4.1%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	256	12	268
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	256	13	269

Error

4.5b

Counts

269 → 13

Alt Table

Status	Error	Program
	45.7b	(pow.f64 (/.f64 a (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) -1)
	41.7b	(*.f64 (/.f64 -2 a) b_2)
	32.4b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 3))) a)
	48.8b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (pow.f64 b_2 2))) a)
	45.9b	(pow.f64 (cbrt.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)) 3)
	45.7b	(.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))) (/.f64 1 a))
	50.3b	(/.f64 (fma.f64 -1/8 (.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) a) a) (.f64 -1/2 (*.f64 (/.f64 c b_2) a))) a)
✓	31.5b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	41.6b	(/.f64 (-.f64 (neg.f64 b_2) b_2) a)
▶	32.2b	(/.f64 (-.f64 (neg.f64 b_2) (.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))) a)
	32.9b	(/.f64 (-.f64 (neg.f64 b_2) (.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))))) a)
	42.8b	(*.f64 -1/2 (/.f64 c b_2))
	41.7b	(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))

Compiler

Compiled 6242 to 2137 computations (65.8% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(.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))
	0.8b	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	10.4b	(-.f64 (neg.f64 b_2) (.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)))
✓	21.9b	(pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4)

series44.0ms (0.8%)

Counts

3 → 76

Calls

27 calls:

Time	Variable		Point	Expression
14.0ms	b_2	@	0	(pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4)
9.0ms	b_2	@	0	(.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))
3.0ms	c	@	0	(pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4)
3.0ms	b_2	@	inf	(pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4)
2.0ms	c	@	inf	(pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4)

rewrite65.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

621×	`fma-def_binary64`
288×	`fma-neg_binary64`
220×	`expm1-udef_binary64`
220×	`log1p-udef_binary64`
145×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	44
1	287	40
2	3968	40

Stop Event

1×	node limit

Counts

3 → 138

Calls

Call 1

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

Inputs

(pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4)

(-.f64 (neg.f64 b_2) (*.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)))

(*.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))

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

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

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

simplify74.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

323×	`fma-def_binary64`
231×	`associate-r_binary64`
212×	`*-commutative_binary64`
182×	`times-frac_binary64`
176×	`+-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	309	3263
1	1043	2930
2	4021	2810

Stop Event

1×	node limit

Counts

214 → 247

Calls

Call 1

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

Outputs
(pow.f64 (.f64 -1 (.f64 c a)) 1/4)
(pow.f64 (*.f64 c (neg.f64 a)) 1/4)
(pow.f64 (*.f64 a (neg.f64 c)) 1/4)
(+.f64 (.f64 -1/4 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b_2 2))) (pow.f64 (.f64 -1 (*.f64 c a)) 1/4))
(fma.f64 -1/4 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (.f64 b_2 b_2)) (pow.f64 (.f64 c (neg.f64 a)) 1/4))
(fma.f64 -1/4 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (.f64 b_2 b_2)) (pow.f64 (.f64 a (neg.f64 c)) 1/4))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b_2 2))) (+.f64 (.f64 -3/32 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b_2 4))) (pow.f64 (.f64 -1 (.f64 c a)) 1/4)))
(fma.f64 -1/4 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (.f64 b_2 b_2)) (fma.f64 -3/32 (.f64 (pow.f64 (/.f64 (/.f64 -1 (pow.f64 c 7)) (pow.f64 a 7)) 1/4) (pow.f64 b_2 4)) (pow.f64 (*.f64 c (neg.f64 a)) 1/4)))
(fma.f64 -1/4 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (.f64 b_2 b_2)) (fma.f64 -3/32 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b_2 4)) (pow.f64 (.f64 c (neg.f64 a)) 1/4)))
(fma.f64 -1/4 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (.f64 b_2 b_2)) (fma.f64 -3/32 (.f64 (pow.f64 (/.f64 (/.f64 -1 (pow.f64 c 7)) (pow.f64 a 7)) 1/4) (pow.f64 b_2 4)) (pow.f64 (*.f64 a (neg.f64 c)) 1/4)))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b_2 2))) (+.f64 (.f64 -7/128 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 11) (pow.f64 a 11))) 1/4) (pow.f64 b_2 6))) (+.f64 (.f64 -3/32 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b_2 4))) (pow.f64 (.f64 -1 (*.f64 c a)) 1/4))))
(fma.f64 -1/4 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (.f64 b_2 b_2)) (fma.f64 -7/128 (.f64 (pow.f64 (/.f64 (/.f64 -1 (pow.f64 c 11)) (pow.f64 a 11)) 1/4) (pow.f64 b_2 6)) (fma.f64 -3/32 (.f64 (pow.f64 (/.f64 (/.f64 -1 (pow.f64 c 7)) (pow.f64 a 7)) 1/4) (pow.f64 b_2 4)) (pow.f64 (.f64 c (neg.f64 a)) 1/4))))
(fma.f64 -1/4 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (.f64 b_2 b_2)) (fma.f64 -7/128 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 11) (pow.f64 a 11))) 1/4) (pow.f64 b_2 6)) (fma.f64 -3/32 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b_2 4)) (pow.f64 (.f64 c (neg.f64 a)) 1/4))))
(fma.f64 -1/4 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (.f64 b_2 b_2)) (fma.f64 -7/128 (.f64 (pow.f64 (/.f64 (/.f64 -1 (pow.f64 c 11)) (pow.f64 a 11)) 1/4) (pow.f64 b_2 6)) (fma.f64 -3/32 (.f64 (pow.f64 (/.f64 (/.f64 -1 (pow.f64 c 7)) (pow.f64 a 7)) 1/4) (pow.f64 b_2 4)) (pow.f64 (.f64 a (neg.f64 c)) 1/4))))
(sqrt.f64 b_2)
(+.f64 (.f64 -1/4 (.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (sqrt.f64 b_2))
(fma.f64 -1/4 (.f64 c (.f64 a (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (sqrt.f64 b_2))
(fma.f64 -1/4 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3)))) (sqrt.f64 b_2))
(fma.f64 (.f64 (.f64 c a) -1/4) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))) (sqrt.f64 b_2))
(+.f64 (.f64 -1/4 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (+.f64 (sqrt.f64 b_2) (.f64 (+.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 1/32 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (sqrt.f64 (/.f64 1 (pow.f64 b_2 7))))))
(+.f64 (fma.f64 -1/4 (.f64 c (.f64 a (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (sqrt.f64 b_2)) (.f64 (.f64 (.f64 (.f64 c c) (*.f64 a a)) -3/32) (sqrt.f64 (/.f64 1 (pow.f64 b_2 7)))))
(fma.f64 -1/4 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3)))) (fma.f64 (.f64 -3/32 (.f64 c (.f64 c (.f64 a a)))) (sqrt.f64 (/.f64 1 (pow.f64 b_2 7))) (sqrt.f64 b_2)))
(fma.f64 -1/4 (.f64 c (.f64 a (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (fma.f64 (.f64 (.f64 a a) (.f64 (.f64 c c) -3/32)) (sqrt.f64 (/.f64 1 (pow.f64 b_2 7))) (sqrt.f64 b_2)))
(+.f64 (.f64 -1/4 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (+.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 b_2 11))) (+.f64 (.f64 -1/384 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (.f64 1/32 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (.f64 -1/12 (.f64 (pow.f64 c 3) (pow.f64 a 3)))))) (+.f64 (sqrt.f64 b_2) (.f64 (+.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 1/32 (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (sqrt.f64 (/.f64 1 (pow.f64 b_2 7)))))))
(fma.f64 -1/4 (.f64 c (.f64 a (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 b_2 11))) (fma.f64 -1/384 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) -5/96)) (+.f64 (sqrt.f64 b_2) (.f64 (.f64 (.f64 (.f64 c c) (.f64 a a)) -3/32) (sqrt.f64 (/.f64 1 (pow.f64 b_2 7)))))))
(fma.f64 -1/4 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3)))) (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 b_2 11))) (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) -7/128) (fma.f64 (.f64 -3/32 (.f64 c (.f64 c (.f64 a a)))) (sqrt.f64 (/.f64 1 (pow.f64 b_2 7))) (sqrt.f64 b_2))))
(fma.f64 -1/4 (.f64 c (.f64 a (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 b_2 11))) (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) -7/128) (fma.f64 (.f64 (.f64 a a) (.f64 (.f64 c c) -3/32)) (sqrt.f64 (/.f64 1 (pow.f64 b_2 7))) (sqrt.f64 b_2))))
(sqrt.f64 (*.f64 -1 b_2))
(sqrt.f64 (neg.f64 b_2))
(+.f64 (sqrt.f64 (.f64 -1 b_2)) (.f64 -1/4 (/.f64 (.f64 c (.f64 a (sqrt.f64 (*.f64 -1 b_2)))) (pow.f64 b_2 2))))
(+.f64 (sqrt.f64 (neg.f64 b_2)) (.f64 -1/4 (/.f64 c (/.f64 (.f64 b_2 b_2) (*.f64 a (sqrt.f64 (neg.f64 b_2)))))))
(fma.f64 -1/4 (.f64 (.f64 (/.f64 c b_2) a) (/.f64 (sqrt.f64 (neg.f64 b_2)) b_2)) (sqrt.f64 (neg.f64 b_2)))
(+.f64 (sqrt.f64 (.f64 -1 b_2)) (+.f64 (.f64 -1/4 (/.f64 (.f64 c (.f64 a (sqrt.f64 (.f64 -1 b_2)))) (pow.f64 b_2 2))) (/.f64 (.f64 (+.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 1/32 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (sqrt.f64 (*.f64 -1 b_2))) (pow.f64 b_2 4))))
(+.f64 (sqrt.f64 (neg.f64 b_2)) (fma.f64 -1/4 (/.f64 c (/.f64 (.f64 b_2 b_2) (.f64 a (sqrt.f64 (neg.f64 b_2))))) (/.f64 (.f64 (.f64 (.f64 c c) (.f64 a a)) -3/32) (/.f64 (pow.f64 b_2 4) (sqrt.f64 (neg.f64 b_2))))))
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(fma.f64 b_2 -2 (/.f64 (.f64 (.f64 1/2 a) c) 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))))
(fma.f64 -2 b_2 (fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (*.f64 1/2 (/.f64 c (/.f64 b_2 a)))))
(fma.f64 b_2 -2 (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 b_2 -2 (fma.f64 1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a a)) (/.f64 (.f64 (*.f64 1/2 a) c) b_2)))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -2 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))))
(fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) (fma.f64 -2 b_2 (fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (*.f64 1/2 (/.f64 c (/.f64 b_2 a))))))
(fma.f64 1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) (fma.f64 b_2 -2 (fma.f64 1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a a)) (.f64 1/2 (.f64 (/.f64 c b_2) a)))))
(fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) (fma.f64 b_2 -2 (fma.f64 1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a a)) (/.f64 (.f64 (*.f64 1/2 a) c) 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 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 c) (pow.f64 b_2 3)) (.f64 a a)) (.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 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))))
(fma.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) -1/16 (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 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) -1/16 (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))))
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(fma.f64 -1/2 (/.f64 (fma.f64 1/16 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 (.f64 (.f64 -1/8 (.f64 c c)) (.f64 a a)) 2)) (pow.f64 b_2 7)) (fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) (fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (.f64 -1/2 (/.f64 c (/.f64 b_2 a))))))
(fma.f64 -1/2 (/.f64 (fma.f64 1/16 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 1/64)) (pow.f64 b_2 7)) (fma.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) -1/16 (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 (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))) (pow.f64 b_2 7)) (fma.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) -1/16 (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)))))
(*.f64 -2 b_2)
(*.f64 b_2 -2)
(+.f64 (.f64 -2 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(fma.f64 -2 b_2 (*.f64 1/2 (/.f64 c (/.f64 b_2 a))))
(fma.f64 b_2 -2 (.f64 1/2 (.f64 (/.f64 c b_2) a)))
(fma.f64 b_2 -2 (/.f64 (.f64 (.f64 1/2 a) c) 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))))
(fma.f64 -2 b_2 (fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (*.f64 1/2 (/.f64 c (/.f64 b_2 a)))))
(fma.f64 b_2 -2 (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 b_2 -2 (fma.f64 1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a a)) (/.f64 (.f64 (*.f64 1/2 a) c) b_2)))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -2 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))))
(fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) (fma.f64 -2 b_2 (fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (*.f64 1/2 (/.f64 c (/.f64 b_2 a))))))
(fma.f64 1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) (fma.f64 b_2 -2 (fma.f64 1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a a)) (.f64 1/2 (.f64 (/.f64 c b_2) a)))))
(fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) (fma.f64 b_2 -2 (fma.f64 1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a a)) (/.f64 (.f64 (*.f64 1/2 a) c) b_2))))
(*.f64 -2 b_2)
(*.f64 b_2 -2)
(+.f64 (.f64 -2 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(fma.f64 -2 b_2 (*.f64 1/2 (/.f64 c (/.f64 b_2 a))))
(fma.f64 b_2 -2 (.f64 1/2 (.f64 (/.f64 c b_2) a)))
(fma.f64 b_2 -2 (/.f64 (.f64 (.f64 1/2 a) c) 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))))
(fma.f64 -2 b_2 (fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (*.f64 1/2 (/.f64 c (/.f64 b_2 a)))))
(fma.f64 b_2 -2 (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 b_2 -2 (fma.f64 1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a a)) (/.f64 (.f64 (*.f64 1/2 a) c) b_2)))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -2 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))))
(fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) (fma.f64 -2 b_2 (fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (*.f64 1/2 (/.f64 c (/.f64 b_2 a))))))
(fma.f64 1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) (fma.f64 b_2 -2 (fma.f64 1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a a)) (.f64 1/2 (.f64 (/.f64 c b_2) a)))))
(fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) (fma.f64 b_2 -2 (fma.f64 1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a a)) (/.f64 (.f64 (*.f64 1/2 a) c) b_2))))
(sqrt.f64 (neg.f64 (*.f64 c a)))
(sqrt.f64 (*.f64 c (neg.f64 a)))
(sqrt.f64 (*.f64 a (neg.f64 c)))
(+.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 c (neg.f64 a))) (/.f64 (.f64 1/2 (.f64 b_2 b_2)) (sqrt.f64 (.f64 c (neg.f64 a)))))
(fma.f64 (/.f64 (.f64 b_2 b_2) (sqrt.f64 (.f64 c (neg.f64 a)))) 1/2 (sqrt.f64 (*.f64 c (neg.f64 a))))
(fma.f64 (/.f64 b_2 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) b_2)) 1/2 (sqrt.f64 (.f64 a (neg.f64 c))))
(+.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 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 (.f64 1/2 (.f64 b_2 b_2)) (sqrt.f64 (*.f64 c (neg.f64 a))))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 3))) (fma.f64 (/.f64 (.f64 b_2 b_2) (sqrt.f64 (.f64 c (neg.f64 a)))) 1/2 (sqrt.f64 (*.f64 c (neg.f64 a)))))
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(+.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 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 (.f64 b_2 b_2) (sqrt.f64 (.f64 c (neg.f64 a)))) (/.f64 (.f64 1/16 (pow.f64 b_2 6)) (pow.f64 (sqrt.f64 (.f64 c (neg.f64 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 (/.f64 (.f64 b_2 b_2) (sqrt.f64 (.f64 c (neg.f64 a)))) 1/2 (.f64 1/16 (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 5))))))
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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 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (+.f64 b_2 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))))
(fma.f64 -1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.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 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (+.f64 b_2 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))))))
(fma.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) -1/16 (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 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) -1/16 (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)))
(*.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 (.f64 (.f64 1/2 a) c) b_2) b_2)
(+.f64 (.f64 -1 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 c a) b_2))))
(fma.f64 -1 b_2 (fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (*.f64 1/2 (/.f64 c (/.f64 b_2 a)))))
(-.f64 (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))) b_2)
(-.f64 (fma.f64 1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a a)) (/.f64 (.f64 (*.f64 1/2 a) c) b_2)) b_2)
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))))
(fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) (fma.f64 -1 b_2 (fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (*.f64 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 1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a a)) (.f64 1/2 (.f64 (/.f64 c b_2) 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 1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a a)) (/.f64 (.f64 (*.f64 1/2 a) c) b_2)) b_2))
b_2
(+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 b_2 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))))
(fma.f64 -1/2 (*.f64 (/.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 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (+.f64 b_2 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))))
(fma.f64 -1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.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 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (+.f64 b_2 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))))))
(fma.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) -1/16 (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 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) -1/16 (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)))
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 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (+.f64 b_2 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))))
(fma.f64 -1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.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 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (+.f64 b_2 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))))))
(fma.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) -1/16 (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 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) -1/16 (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)))

prune423.0ms (7.6%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	476	0	476
Fresh	0	11	11
Picked	0	1	1
Done	0	1	1
Total	476	13	489

Error

4.5b

Counts

489 → 13

Alt Table

Status	Error	Program
	45.7b	(pow.f64 (/.f64 a (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) -1)
	41.7b	(*.f64 (/.f64 -2 a) b_2)
▶	32.4b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 3))) a)
	48.8b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (pow.f64 b_2 2))) a)
	45.9b	(pow.f64 (cbrt.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)) 3)
	45.7b	(.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))) (/.f64 1 a))
	50.3b	(/.f64 (fma.f64 -1/8 (.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) a) a) (.f64 -1/2 (*.f64 (/.f64 c b_2) a))) a)
✓	31.5b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	41.6b	(/.f64 (-.f64 (neg.f64 b_2) b_2) a)
✓	32.2b	(/.f64 (-.f64 (neg.f64 b_2) (.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))) a)
	32.9b	(/.f64 (-.f64 (neg.f64 b_2) (.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))))) a)
	42.8b	(*.f64 -1/2 (/.f64 c b_2))
	41.7b	(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))

Compiler

Compiled 18064 to 7836 computations (56.6% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.8b	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	9.9b	(-.f64 (neg.f64 b_2) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 3)))
✓	21.4b	(sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 3))
✓	22.2b	(cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

series48.0ms (0.9%)

Counts

3 → 52

Calls

27 calls:

Time	Variable		Point	Expression
33.0ms	c	@	-inf	(sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 3))
4.0ms	b_2	@	0	(cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
1.0ms	a	@	0	(cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
1.0ms	c	@	0	(cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
1.0ms	b_2	@	inf	(cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

rewrite68.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

755×	`fma-def_binary64`
340×	`fma-neg_binary64`
218×	`expm1-udef_binary64`
218×	`log1p-udef_binary64`
142×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	41
1	300	39
2	3884	39

Stop Event

1×	node limit

Counts

3 → 148

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

simplify46.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

707×	`fma-def_binary64`
556×	`times-frac_binary64`
399×	`associate-/l*_binary64`
371×	`associate-/r*_binary64`
168×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	161	1824
1	510	1795
2	1883	1774

Stop Event

1×	node limit

Counts

200 → 212

Calls

Call 1

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

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

prune182.0ms (3.3%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	284	2	286
Fresh	2	8	10
Picked	1	0	1
Done	0	2	2
Total	287	12	299

Error

4.5b

Counts

299 → 12

Alt Table

Status	Error	Program
▶	32.3b	(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 3/2)) a)
	45.7b	(.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))) (/.f64 1 a))
	51.0b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (pow.f64 (pow.f64 (pow.f64 b_2 2) 1/3) 3))) a)
✓	31.5b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	45.7b	(pow.f64 (/.f64 a (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) -1)
	41.7b	(*.f64 (/.f64 -2 a) b_2)
	50.3b	(/.f64 (fma.f64 -1/8 (.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) a) a) (.f64 -1/2 (*.f64 (/.f64 c b_2) a))) a)
	41.6b	(/.f64 (-.f64 (neg.f64 b_2) b_2) a)
✓	32.2b	(/.f64 (-.f64 (neg.f64 b_2) (.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))) a)
	42.8b	(*.f64 -1/2 (/.f64 c b_2))
	41.7b	(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
	45.9b	(pow.f64 (cbrt.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)) 3)

Compiler

Compiled 7861 to 3009 computations (61.7% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(pow.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 3/2)
	0.8b	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	7.0b	(-.f64 (neg.f64 b_2) (pow.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 3/2))
	22.2b	(cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

series23.0ms (0.4%)

Counts

2 → 26

Calls

18 calls:

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

rewrite62.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

616×	`fma-def_binary64`
292×	`fma-neg_binary64`
218×	`expm1-udef_binary64`
218×	`log1p-udef_binary64`
144×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	35
1	278	27
2	3880	27

Stop Event

1×	node limit

Counts

2 → 115

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 b_2 (neg.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 b_2 (*.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) 1 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (fma.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/6)) (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (+.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (pow.f64 (cbrt.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) 2) (cbrt.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (sqrt.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 b_2 3) (pow.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a 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fma.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) 1 (+.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 b_2 (neg.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 b_2 (*.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) 1 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (fma.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/6)) (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (+.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (neg.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (pow.f64 (cbrt.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) 2) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) 1 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (pow.f64 (cbrt.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) 2) (fma.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/6)) (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> 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simplify49.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

446×	`distribute-rgt-in_binary64`
445×	`distribute-lft-in_binary64`
278×	`associate-r_binary64`
208×	`fma-def_binary64`
202×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	179	2072
1	596	1992
2	2474	1651

Stop Event

1×	node limit

Counts

141 → 156

Calls

Call 1

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

Outputs
(.f64 -1 (sqrt.f64 (.f64 -1 (*.f64 c a))))
(neg.f64 (sqrt.f64 (neg.f64 (*.f64 c a))))
(neg.f64 (sqrt.f64 (*.f64 a (neg.f64 c))))
(+.f64 (.f64 -1 b_2) (.f64 -1 (sqrt.f64 (.f64 -1 (.f64 c a)))))
(.f64 -1 (+.f64 b_2 (sqrt.f64 (neg.f64 (.f64 c a)))))
(-.f64 (neg.f64 (sqrt.f64 (*.f64 a (neg.f64 c)))) b_2)
(+.f64 (.f64 -1 b_2) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 -1 (.f64 c a))) (pow.f64 b_2 2))) (.f64 -1 (sqrt.f64 (.f64 -1 (*.f64 c a))))))
(fma.f64 -1 b_2 (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 -1 (.f64 c a))) (.f64 b_2 b_2)) (neg.f64 (sqrt.f64 (neg.f64 (.f64 c a))))))
(-.f64 (-.f64 (.f64 (sqrt.f64 (/.f64 -1 (.f64 c a))) (.f64 (.f64 b_2 b_2) 1/2)) (sqrt.f64 (*.f64 a (neg.f64 c)))) b_2)
(-.f64 (.f64 (sqrt.f64 (/.f64 -1 (.f64 c a))) (.f64 (.f64 b_2 b_2) 1/2)) (+.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) b_2))
(+.f64 (.f64 -1 b_2) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 -1 (.f64 c a))) (pow.f64 b_2 2))) (+.f64 (.f64 -1 (sqrt.f64 (.f64 -1 (.f64 c a)))) (.f64 -1 (.f64 (sqrt.f64 (.f64 -1 (.f64 c a))) (.f64 (-.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (.f64 1/4 (/.f64 1 (.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (cbrt.f64 -1) 6)))))) (pow.f64 b_2 4)))))))
(fma.f64 -1 b_2 (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 -1 (.f64 c a))) (.f64 b_2 b_2)) (.f64 -1 (+.f64 (sqrt.f64 (neg.f64 (.f64 c a))) (.f64 (sqrt.f64 (neg.f64 (.f64 c a))) (.f64 (-.f64 (/.f64 1/8 (.f64 (.f64 c c) (.f64 a a))) (/.f64 1/4 (.f64 (.f64 c c) (.f64 (*.f64 a a) (pow.f64 (cbrt.f64 -1) 6))))) (pow.f64 b_2 4)))))))
(-.f64 (fma.f64 1/2 (.f64 b_2 (.f64 b_2 (sqrt.f64 (/.f64 -1 (.f64 c a))))) (neg.f64 (.f64 (+.f64 (.f64 (+.f64 (/.f64 1/8 (.f64 c (.f64 c (.f64 a a)))) (/.f64 -1/4 (.f64 1 (.f64 c (.f64 c (.f64 a a)))))) (pow.f64 b_2 4)) 1) (sqrt.f64 (*.f64 a (neg.f64 c)))))) b_2)
(-.f64 (fma.f64 1/2 (.f64 b_2 (.f64 b_2 (sqrt.f64 (/.f64 -1 (.f64 c a))))) (.f64 (sqrt.f64 (.f64 a (neg.f64 c))) (-.f64 -1 (.f64 (+.f64 (/.f64 1/8 (.f64 c (.f64 c (.f64 a a)))) (/.f64 -1/4 (.f64 c (.f64 c (.f64 a a))))) (pow.f64 b_2 4))))) b_2)
(*.f64 -1 b_2)
(neg.f64 b_2)
(*.f64 -1 b_2)
(neg.f64 b_2)
(*.f64 -1 (+.f64 b_2 (pow.f64 (pow.f64 (pow.f64 b_2 2) 1/3) 3/2)))
(neg.f64 (+.f64 b_2 (pow.f64 (cbrt.f64 (*.f64 b_2 b_2)) 3/2)))
(-.f64 (neg.f64 b_2) (pow.f64 (cbrt.f64 (*.f64 b_2 b_2)) 3/2))
(+.f64 (.f64 -1 (+.f64 b_2 (pow.f64 (pow.f64 (pow.f64 b_2 2) 1/3) 3/2))) (.f64 1/2 (.f64 (.f64 c a) (pow.f64 (/.f64 1 b_2) 1/9))))
(fma.f64 -1 (+.f64 b_2 (pow.f64 (cbrt.f64 (.f64 b_2 b_2)) 3/2)) (.f64 1/2 (.f64 (.f64 c a) (*.f64 (pow.f64 (/.f64 1 b_2) 1/18) (pow.f64 (/.f64 1 b_2) 1/18)))))
(-.f64 (.f64 (.f64 c a) (.f64 (.f64 (pow.f64 (/.f64 1 b_2) 1/18) (pow.f64 (/.f64 1 b_2) 1/18)) 1/2)) (+.f64 b_2 (pow.f64 (cbrt.f64 (*.f64 b_2 b_2)) 3/2)))
(+.f64 (.f64 -1 (+.f64 b_2 (pow.f64 (pow.f64 (pow.f64 b_2 2) 1/3) 3/2))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (.f64 (+.f64 (.f64 1/8 (.f64 (pow.f64 c 2) (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/9))) (.f64 3/4 (+.f64 (.f64 -1/9 (.f64 (pow.f64 c 2) (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/9))) (.f64 -2/9 (.f64 (pow.f64 c 2) (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/9)))))) b_2))) (.f64 1/2 (.f64 (.f64 c a) (pow.f64 (/.f64 1 b_2) 1/9)))))
(fma.f64 -1 (+.f64 b_2 (pow.f64 (cbrt.f64 (.f64 b_2 b_2)) 3/2)) (fma.f64 -1 (.f64 (.f64 a a) (.f64 b_2 (fma.f64 1/8 (.f64 (.f64 c c) (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18))) (.f64 3/4 (.f64 (.f64 (.f64 c c) (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18))) -1/3))))) (.f64 1/2 (.f64 (.f64 c a) (.f64 (pow.f64 (/.f64 1 b_2) 1/18) (pow.f64 (/.f64 1 b_2) 1/18))))))
(-.f64 (-.f64 (.f64 (.f64 c a) (.f64 (.f64 (pow.f64 (/.f64 1 b_2) 1/18) (pow.f64 (/.f64 1 b_2) 1/18)) 1/2)) (.f64 b_2 (.f64 a (.f64 a (fma.f64 1/8 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18) (.f64 c c))) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18) (.f64 c c))) -1/4)))))) (+.f64 b_2 (pow.f64 (cbrt.f64 (*.f64 b_2 b_2)) 3/2)))
(-.f64 (.f64 (.f64 c a) (.f64 (.f64 (pow.f64 (/.f64 1 b_2) 1/18) (pow.f64 (/.f64 1 b_2) 1/18)) 1/2)) (+.f64 (+.f64 b_2 (pow.f64 (cbrt.f64 (.f64 b_2 b_2)) 3/2)) (.f64 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18) (.f64 c c))) -1/8) (.f64 b_2 (.f64 a a)))))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (.f64 b_2 (+.f64 (.f64 -3/8 (.f64 (.f64 c (+.f64 (.f64 -1/9 (.f64 (pow.f64 c 2) (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/9))) (.f64 -2/9 (.f64 (pow.f64 c 2) (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/9))))) (pow.f64 (/.f64 1 (pow.f64 b_2 10)) 1/9))) (+.f64 (.f64 1/4 (+.f64 (.f64 -2/9 (.f64 (pow.f64 c 3) (pow.f64 (/.f64 1 (pow.f64 b_2 10)) 1/3))) (+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 2/9 (.f64 (pow.f64 c 3) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/3))) (.f64 -1/27 (.f64 (pow.f64 c 3) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/3)))) (pow.f64 b_2 2))) (.f64 -2/27 (.f64 (pow.f64 c 3) (pow.f64 (/.f64 1 (pow.f64 b_2 10)) 1/3)))))) (.f64 -1/48 (.f64 (pow.f64 c 3) (pow.f64 (/.f64 1 (pow.f64 b_2 10)) 1/3)))))))) (+.f64 (.f64 -1 (+.f64 b_2 (pow.f64 (pow.f64 (pow.f64 b_2 2) 1/3) 3/2))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (.f64 (+.f64 (.f64 1/8 (.f64 (pow.f64 c 2) (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/9))) (.f64 3/4 (+.f64 (.f64 -1/9 (.f64 (pow.f64 c 2) (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/9))) (.f64 -2/9 (.f64 (pow.f64 c 2) (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/9)))))) b_2))) (.f64 1/2 (.f64 (.f64 c a) (pow.f64 (/.f64 1 b_2) 1/9))))))
(fma.f64 -1 (.f64 (pow.f64 a 3) (.f64 b_2 (fma.f64 -3/8 (.f64 (.f64 c (.f64 (.f64 (.f64 c c) (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18))) -1/3)) (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 10)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 10)) 1/18))) (fma.f64 1/4 (fma.f64 -2/9 (.f64 (pow.f64 c 3) (cbrt.f64 (/.f64 1 (pow.f64 b_2 10)))) (fma.f64 -2 (/.f64 (.f64 (.f64 (pow.f64 c 3) (cbrt.f64 (/.f64 1 (pow.f64 b_2 4)))) 5/27) (.f64 b_2 b_2)) (.f64 (.f64 (pow.f64 c 3) (cbrt.f64 (/.f64 1 (pow.f64 b_2 10)))) -2/27))) (.f64 (.f64 (pow.f64 c 3) (cbrt.f64 (/.f64 1 (pow.f64 b_2 10)))) -1/48))))) (fma.f64 -1 (+.f64 b_2 (pow.f64 (cbrt.f64 (.f64 b_2 b_2)) 3/2)) (fma.f64 -1 (.f64 (.f64 a a) (.f64 b_2 (fma.f64 1/8 (.f64 (.f64 c c) (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18))) (.f64 3/4 (.f64 (.f64 (.f64 c c) (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18))) -1/3))))) (.f64 1/2 (.f64 (.f64 c a) (*.f64 (pow.f64 (/.f64 1 b_2) 1/18) (pow.f64 (/.f64 1 b_2) 1/18)))))))
(-.f64 (-.f64 (-.f64 (.f64 (.f64 c a) (.f64 (.f64 (pow.f64 (/.f64 1 b_2) 1/18) (pow.f64 (/.f64 1 b_2) 1/18)) 1/2)) (.f64 b_2 (.f64 a (.f64 a (fma.f64 1/8 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18) (.f64 c c))) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18) (.f64 c c))) -1/4)))))) (+.f64 b_2 (pow.f64 (cbrt.f64 (.f64 b_2 b_2)) 3/2))) (.f64 (pow.f64 a 3) (.f64 b_2 (fma.f64 -3/8 (.f64 c (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18) (.f64 c c))) (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 10)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 10)) 1/18))))) (fma.f64 1/4 (fma.f64 -2/9 (.f64 (pow.f64 c 3) (cbrt.f64 (/.f64 1 (pow.f64 b_2 10)))) (fma.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (cbrt.f64 (/.f64 1 (pow.f64 b_2 4)))) (/.f64 (.f64 b_2 b_2) 5/27)) (.f64 (pow.f64 c 3) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 b_2 10))) -2/27)))) (.f64 (pow.f64 c 3) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 b_2 10))) -1/48)))))))
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(*.f64 -1 (+.f64 b_2 (pow.f64 (pow.f64 (pow.f64 b_2 2) 1/3) 3/2)))
(neg.f64 (+.f64 b_2 (pow.f64 (cbrt.f64 (*.f64 b_2 b_2)) 3/2)))
(-.f64 (neg.f64 b_2) (pow.f64 (cbrt.f64 (*.f64 b_2 b_2)) 3/2))
(+.f64 (.f64 -1 (+.f64 b_2 (pow.f64 (pow.f64 (pow.f64 b_2 2) 1/3) 3/2))) (.f64 1/2 (.f64 (.f64 c a) (pow.f64 (/.f64 1 b_2) 1/9))))
(fma.f64 -1 (+.f64 b_2 (pow.f64 (cbrt.f64 (.f64 b_2 b_2)) 3/2)) (.f64 1/2 (.f64 (.f64 c a) (*.f64 (pow.f64 (/.f64 1 b_2) 1/18) (pow.f64 (/.f64 1 b_2) 1/18)))))
(-.f64 (.f64 (.f64 c a) (.f64 (.f64 (pow.f64 (/.f64 1 b_2) 1/18) (pow.f64 (/.f64 1 b_2) 1/18)) 1/2)) (+.f64 b_2 (pow.f64 (cbrt.f64 (*.f64 b_2 b_2)) 3/2)))
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(fma.f64 -1 (.f64 (.f64 c c) (.f64 b_2 (fma.f64 1/8 (.f64 (.f64 a a) (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18))) (.f64 3/4 (.f64 (.f64 (.f64 a a) (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18))) -1/3))))) (fma.f64 -1 (+.f64 b_2 (pow.f64 (cbrt.f64 (.f64 b_2 b_2)) 3/2)) (.f64 1/2 (.f64 (.f64 c a) (.f64 (pow.f64 (/.f64 1 b_2) 1/18) (pow.f64 (/.f64 1 b_2) 1/18))))))
(-.f64 (-.f64 (.f64 (.f64 c a) (.f64 (.f64 (pow.f64 (/.f64 1 b_2) 1/18) (pow.f64 (/.f64 1 b_2) 1/18)) 1/2)) (+.f64 b_2 (pow.f64 (cbrt.f64 (.f64 b_2 b_2)) 3/2))) (.f64 (.f64 c c) (.f64 b_2 (fma.f64 1/8 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18) a) (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18) a)) (.f64 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18) a) (*.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18) a)) -1/4)))))
(-.f64 (-.f64 (.f64 (.f64 c a) (.f64 (.f64 (pow.f64 (/.f64 1 b_2) 1/18) (pow.f64 (/.f64 1 b_2) 1/18)) 1/2)) (+.f64 b_2 (pow.f64 (cbrt.f64 (.f64 b_2 b_2)) 3/2))) (.f64 (.f64 (.f64 a (.f64 a (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18)))) -1/8) (.f64 b_2 (.f64 c c))))
(+.f64 (.f64 -1 (.f64 (pow.f64 c 3) (.f64 (+.f64 (.f64 -3/8 (.f64 (.f64 (+.f64 (.f64 -1/9 (.f64 (pow.f64 a 2) (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/9))) (.f64 -2/9 (.f64 (pow.f64 a 2) (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/9)))) a) (pow.f64 (/.f64 1 (pow.f64 b_2 10)) 1/9))) (+.f64 (.f64 1/4 (+.f64 (.f64 -2/9 (.f64 (pow.f64 a 3) (pow.f64 (/.f64 1 (pow.f64 b_2 10)) 1/3))) (+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 -1/27 (.f64 (pow.f64 a 3) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/3))) (.f64 2/9 (.f64 (pow.f64 a 3) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/3)))) (pow.f64 b_2 2))) (.f64 -2/27 (.f64 (pow.f64 a 3) (pow.f64 (/.f64 1 (pow.f64 b_2 10)) 1/3)))))) (.f64 -1/48 (.f64 (pow.f64 a 3) (pow.f64 (/.f64 1 (pow.f64 b_2 10)) 1/3))))) b_2))) (+.f64 (.f64 -1 (.f64 (pow.f64 c 2) (.f64 (+.f64 (.f64 1/8 (.f64 (pow.f64 a 2) (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/9))) (.f64 3/4 (+.f64 (.f64 -1/9 (.f64 (pow.f64 a 2) (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/9))) (.f64 -2/9 (.f64 (pow.f64 a 2) (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/9)))))) b_2))) (+.f64 (.f64 -1 (+.f64 b_2 (pow.f64 (pow.f64 (pow.f64 b_2 2) 1/3) 3/2))) (.f64 1/2 (.f64 (.f64 c a) (pow.f64 (/.f64 1 b_2) 1/9))))))
(fma.f64 -1 (.f64 (pow.f64 c 3) (.f64 b_2 (fma.f64 -3/8 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 10)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 10)) 1/18)) (.f64 a (.f64 (.f64 (.f64 a a) (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18))) -1/3))) (fma.f64 1/4 (fma.f64 -2/9 (.f64 (pow.f64 a 3) (cbrt.f64 (/.f64 1 (pow.f64 b_2 10)))) (fma.f64 -2 (/.f64 (.f64 (.f64 (pow.f64 a 3) (cbrt.f64 (/.f64 1 (pow.f64 b_2 4)))) 5/27) (.f64 b_2 b_2)) (.f64 (.f64 -2/27 (pow.f64 a 3)) (cbrt.f64 (/.f64 1 (pow.f64 b_2 10)))))) (.f64 (.f64 -1/48 (pow.f64 a 3)) (cbrt.f64 (/.f64 1 (pow.f64 b_2 10)))))))) (fma.f64 -1 (.f64 (.f64 c c) (.f64 b_2 (fma.f64 1/8 (.f64 (.f64 a a) (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18))) (.f64 3/4 (.f64 (.f64 (.f64 a a) (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18))) -1/3))))) (fma.f64 -1 (+.f64 b_2 (pow.f64 (cbrt.f64 (.f64 b_2 b_2)) 3/2)) (.f64 1/2 (.f64 (.f64 c a) (*.f64 (pow.f64 (/.f64 1 b_2) 1/18) (pow.f64 (/.f64 1 b_2) 1/18)))))))
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(-.f64 (-.f64 (.f64 (.f64 c a) (.f64 (.f64 (pow.f64 (/.f64 1 b_2) 1/18) (pow.f64 (/.f64 1 b_2) 1/18)) 1/2)) (+.f64 b_2 (pow.f64 (cbrt.f64 (.f64 b_2 b_2)) 3/2))) (.f64 b_2 (.f64 (.f64 c c) (+.f64 (.f64 (.f64 a (.f64 a (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18)))) -1/8) (.f64 c (fma.f64 -3/8 (.f64 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 10)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 10)) 1/18)) (.f64 (.f64 a a) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18)) -1/3))) a) (+.f64 (.f64 (.f64 (pow.f64 a 3) (cbrt.f64 (/.f64 1 (pow.f64 b_2 10)))) -11/144) (.f64 1/4 (fma.f64 -2/27 (.f64 (pow.f64 a 3) (cbrt.f64 (/.f64 1 (pow.f64 b_2 10)))) (.f64 (/.f64 -2 b_2) (/.f64 (.f64 (pow.f64 a 3) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 b_2 4))) 5/27)) b_2)))))))))))
(sqrt.f64 (.f64 -1 (.f64 c a)))
(sqrt.f64 (neg.f64 (*.f64 c a)))
(sqrt.f64 (*.f64 a (neg.f64 c)))
(+.f64 (sqrt.f64 (.f64 -1 (.f64 c a))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 -1 (*.f64 c a))) (pow.f64 b_2 2))))
(+.f64 (sqrt.f64 (neg.f64 (.f64 c a))) (.f64 (.f64 (sqrt.f64 (/.f64 -1 (.f64 c a))) (*.f64 b_2 b_2)) -1/2))
(fma.f64 (.f64 b_2 (.f64 b_2 (sqrt.f64 (/.f64 -1 (.f64 c a))))) -1/2 (sqrt.f64 (.f64 a (neg.f64 c))))
(+.f64 (sqrt.f64 (.f64 -1 (.f64 c a))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 -1 (.f64 c a))) (pow.f64 b_2 2))) (.f64 (sqrt.f64 (.f64 -1 (.f64 c a))) (.f64 (-.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (.f64 1/4 (/.f64 1 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (cbrt.f64 -1) 6)))))) (pow.f64 b_2 4)))))
(+.f64 (sqrt.f64 (neg.f64 (.f64 c a))) (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 -1 (.f64 c a))) (.f64 b_2 b_2)) (.f64 (sqrt.f64 (neg.f64 (.f64 c a))) (.f64 (-.f64 (/.f64 1/8 (.f64 (.f64 c c) (.f64 a a))) (/.f64 1/4 (.f64 (.f64 c c) (.f64 (.f64 a a) (pow.f64 (cbrt.f64 -1) 6))))) (pow.f64 b_2 4)))))
(+.f64 (.f64 (sqrt.f64 (/.f64 -1 (.f64 c a))) (.f64 (.f64 b_2 b_2) -1/2)) (.f64 (+.f64 (.f64 (+.f64 (/.f64 1/8 (.f64 c (.f64 c (.f64 a a)))) (/.f64 -1/4 (.f64 1 (.f64 c (.f64 c (.f64 a a)))))) (pow.f64 b_2 4)) 1) (sqrt.f64 (.f64 a (neg.f64 c)))))
(+.f64 (.f64 (sqrt.f64 (/.f64 -1 (.f64 c a))) (.f64 (.f64 b_2 b_2) -1/2)) (.f64 (+.f64 (.f64 (+.f64 (/.f64 1/8 (.f64 c (.f64 c (.f64 a a)))) (/.f64 -1/4 (.f64 c (.f64 c (.f64 a a))))) (pow.f64 b_2 4)) 1) (sqrt.f64 (*.f64 a (neg.f64 c)))))
(+.f64 (.f64 (sqrt.f64 (.f64 -1 (.f64 c a))) (.f64 (-.f64 (+.f64 (.f64 1/6 (/.f64 1 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (cbrt.f64 -1) 9))))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (cbrt.f64 -1) 6)))))) (.f64 1/48 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3))))) (pow.f64 b_2 6))) (+.f64 (sqrt.f64 (.f64 -1 (.f64 c a))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 -1 (.f64 c a))) (pow.f64 b_2 2))) (.f64 (sqrt.f64 (.f64 -1 (.f64 c a))) (.f64 (-.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (.f64 1/4 (/.f64 1 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (cbrt.f64 -1) 6)))))) (pow.f64 b_2 4))))))
(fma.f64 (sqrt.f64 (neg.f64 (.f64 c a))) (.f64 (-.f64 (+.f64 (/.f64 1/6 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (cbrt.f64 -1) 9)))) (/.f64 1/8 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (cbrt.f64 -1) 6) (pow.f64 a 3))))) (/.f64 1/48 (.f64 (pow.f64 a 3) (pow.f64 c 3)))) (pow.f64 b_2 6)) (+.f64 (sqrt.f64 (neg.f64 (.f64 c a))) (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 -1 (.f64 c a))) (.f64 b_2 b_2)) (.f64 (sqrt.f64 (neg.f64 (.f64 c a))) (.f64 (-.f64 (/.f64 1/8 (.f64 (.f64 c c) (.f64 a a))) (/.f64 1/4 (.f64 (.f64 c c) (.f64 (*.f64 a a) (pow.f64 (cbrt.f64 -1) 6))))) (pow.f64 b_2 4))))))
(+.f64 (fma.f64 (.f64 b_2 (.f64 b_2 (sqrt.f64 (/.f64 -1 (.f64 c a))))) -1/2 (.f64 (+.f64 (/.f64 1/8 (.f64 c (.f64 c (.f64 a a)))) (/.f64 -1/4 (.f64 1 (.f64 c (.f64 c (.f64 a a)))))) (.f64 (pow.f64 b_2 4) (sqrt.f64 (.f64 a (neg.f64 c)))))) (.f64 (+.f64 (.f64 (+.f64 (/.f64 1/8 (.f64 1 (.f64 (pow.f64 a 3) (pow.f64 c 3)))) (-.f64 (/.f64 1/6 (.f64 (pow.f64 a 3) (.f64 (pow.f64 (cbrt.f64 -1) 9) (pow.f64 c 3)))) (/.f64 1/48 (.f64 (pow.f64 a 3) (pow.f64 c 3))))) (pow.f64 b_2 6)) 1) (sqrt.f64 (*.f64 a (neg.f64 c)))))
(+.f64 (.f64 (sqrt.f64 (.f64 a (neg.f64 c))) (+.f64 (+.f64 (.f64 (+.f64 (/.f64 1/6 (.f64 (pow.f64 (cbrt.f64 -1) 9) (.f64 (pow.f64 a 3) (pow.f64 c 3)))) (-.f64 (/.f64 1/8 (.f64 (pow.f64 a 3) (pow.f64 c 3))) (/.f64 1/48 (.f64 (pow.f64 a 3) (pow.f64 c 3))))) (pow.f64 b_2 6)) 1) (.f64 (+.f64 (/.f64 1/8 (.f64 c (.f64 c (.f64 a a)))) (/.f64 -1/4 (.f64 c (.f64 c (.f64 a a))))) (pow.f64 b_2 4)))) (.f64 (sqrt.f64 (/.f64 -1 (.f64 c a))) (.f64 (.f64 b_2 b_2) -1/2)))
b_2
(+.f64 (.f64 -1/2 (.f64 (*.f64 c a) (pow.f64 (/.f64 1 b_2) 1/9))) b_2)
(fma.f64 -1/2 (.f64 (.f64 c a) (*.f64 (pow.f64 (/.f64 1 b_2) 1/18) (pow.f64 (/.f64 1 b_2) 1/18))) b_2)
(fma.f64 (.f64 (.f64 c a) -1/2) (*.f64 (pow.f64 (/.f64 1 b_2) 1/18) (pow.f64 (/.f64 1 b_2) 1/18)) b_2)
(+.f64 (.f64 (pow.f64 a 2) (.f64 (+.f64 (.f64 1/8 (.f64 (pow.f64 c 2) (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/9))) (.f64 3/4 (+.f64 (.f64 -1/9 (.f64 (pow.f64 c 2) (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/9))) (.f64 -2/9 (.f64 (pow.f64 c 2) (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/9)))))) b_2)) (+.f64 (.f64 -1/2 (.f64 (.f64 c a) (pow.f64 (/.f64 1 b_2) 1/9))) b_2))
(fma.f64 (.f64 a a) (.f64 b_2 (fma.f64 1/8 (.f64 (.f64 c c) (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18))) (.f64 3/4 (.f64 (.f64 (.f64 c c) (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18))) -1/3)))) (fma.f64 -1/2 (.f64 (.f64 c a) (*.f64 (pow.f64 (/.f64 1 b_2) 1/18) (pow.f64 (/.f64 1 b_2) 1/18))) b_2))
(fma.f64 (.f64 a a) (.f64 b_2 (fma.f64 1/8 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18) (.f64 c c))) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18) (.f64 c c))) -1/4))) (fma.f64 (.f64 (.f64 c a) -1/2) (.f64 (pow.f64 (/.f64 1 b_2) 1/18) (pow.f64 (/.f64 1 b_2) 1/18)) b_2))
(fma.f64 (.f64 a a) (.f64 b_2 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18) (.f64 c c))) -1/8)) (fma.f64 (.f64 (.f64 c a) -1/2) (*.f64 (pow.f64 (/.f64 1 b_2) 1/18) (pow.f64 (/.f64 1 b_2) 1/18)) b_2))
(+.f64 (.f64 (pow.f64 a 3) (.f64 b_2 (+.f64 (.f64 -3/8 (.f64 (.f64 c (+.f64 (.f64 -1/9 (.f64 (pow.f64 c 2) (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/9))) (.f64 -2/9 (.f64 (pow.f64 c 2) (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/9))))) (pow.f64 (/.f64 1 (pow.f64 b_2 10)) 1/9))) (+.f64 (.f64 1/4 (+.f64 (.f64 -2/9 (.f64 (pow.f64 c 3) (pow.f64 (/.f64 1 (pow.f64 b_2 10)) 1/3))) (+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 2/9 (.f64 (pow.f64 c 3) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/3))) (.f64 -1/27 (.f64 (pow.f64 c 3) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/3)))) (pow.f64 b_2 2))) (.f64 -2/27 (.f64 (pow.f64 c 3) (pow.f64 (/.f64 1 (pow.f64 b_2 10)) 1/3)))))) (.f64 -1/48 (.f64 (pow.f64 c 3) (pow.f64 (/.f64 1 (pow.f64 b_2 10)) 1/3))))))) (+.f64 (.f64 (pow.f64 a 2) (.f64 (+.f64 (.f64 1/8 (.f64 (pow.f64 c 2) (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/9))) (.f64 3/4 (+.f64 (.f64 -1/9 (.f64 (pow.f64 c 2) (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/9))) (.f64 -2/9 (.f64 (pow.f64 c 2) (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/9)))))) b_2)) (+.f64 (.f64 -1/2 (.f64 (*.f64 c a) (pow.f64 (/.f64 1 b_2) 1/9))) b_2)))
(fma.f64 (pow.f64 a 3) (.f64 b_2 (fma.f64 -3/8 (.f64 (.f64 c (.f64 (.f64 (.f64 c c) (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18))) -1/3)) (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 10)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 10)) 1/18))) (fma.f64 1/4 (fma.f64 -2/9 (.f64 (pow.f64 c 3) (cbrt.f64 (/.f64 1 (pow.f64 b_2 10)))) (fma.f64 -2 (/.f64 (.f64 (.f64 (pow.f64 c 3) (cbrt.f64 (/.f64 1 (pow.f64 b_2 4)))) 5/27) (.f64 b_2 b_2)) (.f64 (.f64 (pow.f64 c 3) (cbrt.f64 (/.f64 1 (pow.f64 b_2 10)))) -2/27))) (.f64 (.f64 (pow.f64 c 3) (cbrt.f64 (/.f64 1 (pow.f64 b_2 10)))) -1/48)))) (fma.f64 (.f64 a a) (.f64 b_2 (fma.f64 1/8 (.f64 (.f64 c c) (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18))) (.f64 3/4 (.f64 (.f64 (.f64 c c) (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18))) -1/3)))) (fma.f64 -1/2 (.f64 (.f64 c a) (*.f64 (pow.f64 (/.f64 1 b_2) 1/18) (pow.f64 (/.f64 1 b_2) 1/18))) b_2)))
(fma.f64 (pow.f64 a 3) (.f64 b_2 (fma.f64 -3/8 (.f64 c (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18) (.f64 c c))) (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 10)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 10)) 1/18))))) (fma.f64 1/4 (fma.f64 -2/9 (.f64 (pow.f64 c 3) (cbrt.f64 (/.f64 1 (pow.f64 b_2 10)))) (fma.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (cbrt.f64 (/.f64 1 (pow.f64 b_2 4)))) (/.f64 (.f64 b_2 b_2) 5/27)) (.f64 (pow.f64 c 3) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 b_2 10))) -2/27)))) (.f64 (pow.f64 c 3) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 b_2 10))) -1/48))))) (fma.f64 (.f64 a a) (.f64 b_2 (fma.f64 1/8 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18) (.f64 c c))) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18) (.f64 c c))) -1/4))) (fma.f64 (.f64 (.f64 c a) -1/2) (*.f64 (pow.f64 (/.f64 1 b_2) 1/18) (pow.f64 (/.f64 1 b_2) 1/18)) b_2)))
(fma.f64 (pow.f64 a 3) (.f64 b_2 (fma.f64 -3/8 (.f64 (.f64 c (.f64 (.f64 c c) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18)) -1/3))) (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 10)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 10)) 1/18))) (fma.f64 1/4 (+.f64 (.f64 (/.f64 -2 b_2) (/.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 b_2 4))) (.f64 (pow.f64 c 3) 5/27)) b_2)) (.f64 (.f64 (pow.f64 c 3) (cbrt.f64 (/.f64 1 (pow.f64 b_2 10)))) -8/27)) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 b_2 10))) (.f64 (pow.f64 c 3) -1/48))))) (fma.f64 (.f64 a a) (.f64 b_2 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18) (.f64 c c))) -1/8)) (fma.f64 (.f64 (.f64 c a) -1/2) (.f64 (pow.f64 (/.f64 1 b_2) 1/18) (pow.f64 (/.f64 1 b_2) 1/18)) b_2)))
b_2
(+.f64 (.f64 -1/2 (.f64 (*.f64 c a) (pow.f64 (/.f64 1 b_2) 1/9))) b_2)
(fma.f64 -1/2 (.f64 (.f64 c a) (*.f64 (pow.f64 (/.f64 1 b_2) 1/18) (pow.f64 (/.f64 1 b_2) 1/18))) b_2)
(fma.f64 (.f64 (.f64 c a) -1/2) (*.f64 (pow.f64 (/.f64 1 b_2) 1/18) (pow.f64 (/.f64 1 b_2) 1/18)) b_2)
(+.f64 (.f64 (pow.f64 c 2) (.f64 (+.f64 (.f64 1/8 (.f64 (pow.f64 a 2) (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/9))) (.f64 3/4 (+.f64 (.f64 -1/9 (.f64 (pow.f64 a 2) (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/9))) (.f64 -2/9 (.f64 (pow.f64 a 2) (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/9)))))) b_2)) (+.f64 (.f64 -1/2 (.f64 (.f64 c a) (pow.f64 (/.f64 1 b_2) 1/9))) b_2))
(fma.f64 (.f64 c c) (.f64 b_2 (fma.f64 1/8 (.f64 (.f64 a a) (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18))) (.f64 3/4 (.f64 (.f64 (.f64 a a) (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18))) -1/3)))) (fma.f64 -1/2 (.f64 (.f64 c a) (*.f64 (pow.f64 (/.f64 1 b_2) 1/18) (pow.f64 (/.f64 1 b_2) 1/18))) b_2))
(fma.f64 (.f64 c c) (.f64 b_2 (fma.f64 1/8 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18) a) (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18) a)) (.f64 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18) a) (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18) a)) -1/4))) (fma.f64 (.f64 (.f64 c a) -1/2) (.f64 (pow.f64 (/.f64 1 b_2) 1/18) (pow.f64 (/.f64 1 b_2) 1/18)) b_2))
(fma.f64 (.f64 c c) (.f64 b_2 (.f64 (.f64 a (.f64 a (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18)))) -1/8)) (fma.f64 (.f64 (.f64 c a) -1/2) (*.f64 (pow.f64 (/.f64 1 b_2) 1/18) (pow.f64 (/.f64 1 b_2) 1/18)) b_2))
(+.f64 (.f64 (pow.f64 c 2) (.f64 (+.f64 (.f64 1/8 (.f64 (pow.f64 a 2) (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/9))) (.f64 3/4 (+.f64 (.f64 -1/9 (.f64 (pow.f64 a 2) (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/9))) (.f64 -2/9 (.f64 (pow.f64 a 2) (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/9)))))) b_2)) (+.f64 (.f64 (pow.f64 c 3) (.f64 (+.f64 (.f64 -3/8 (.f64 (.f64 (+.f64 (.f64 -1/9 (.f64 (pow.f64 a 2) (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/9))) (.f64 -2/9 (.f64 (pow.f64 a 2) (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/9)))) a) (pow.f64 (/.f64 1 (pow.f64 b_2 10)) 1/9))) (+.f64 (.f64 1/4 (+.f64 (.f64 -2/9 (.f64 (pow.f64 a 3) (pow.f64 (/.f64 1 (pow.f64 b_2 10)) 1/3))) (+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 -1/27 (.f64 (pow.f64 a 3) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/3))) (.f64 2/9 (.f64 (pow.f64 a 3) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/3)))) (pow.f64 b_2 2))) (.f64 -2/27 (.f64 (pow.f64 a 3) (pow.f64 (/.f64 1 (pow.f64 b_2 10)) 1/3)))))) (.f64 -1/48 (.f64 (pow.f64 a 3) (pow.f64 (/.f64 1 (pow.f64 b_2 10)) 1/3))))) b_2)) (+.f64 (.f64 -1/2 (.f64 (*.f64 c a) (pow.f64 (/.f64 1 b_2) 1/9))) b_2)))
(fma.f64 (.f64 c c) (.f64 b_2 (fma.f64 1/8 (.f64 (.f64 a a) (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18))) (.f64 3/4 (.f64 (.f64 (.f64 a a) (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18))) -1/3)))) (fma.f64 (pow.f64 c 3) (.f64 b_2 (fma.f64 -3/8 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 10)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 10)) 1/18)) (.f64 a (.f64 (.f64 (.f64 a a) (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18))) -1/3))) (fma.f64 1/4 (fma.f64 -2/9 (.f64 (pow.f64 a 3) (cbrt.f64 (/.f64 1 (pow.f64 b_2 10)))) (fma.f64 -2 (/.f64 (.f64 (.f64 (pow.f64 a 3) (cbrt.f64 (/.f64 1 (pow.f64 b_2 4)))) 5/27) (.f64 b_2 b_2)) (.f64 (.f64 -2/27 (pow.f64 a 3)) (cbrt.f64 (/.f64 1 (pow.f64 b_2 10)))))) (.f64 (.f64 -1/48 (pow.f64 a 3)) (cbrt.f64 (/.f64 1 (pow.f64 b_2 10))))))) (fma.f64 -1/2 (.f64 (.f64 c a) (*.f64 (pow.f64 (/.f64 1 b_2) 1/18) (pow.f64 (/.f64 1 b_2) 1/18))) b_2)))
(fma.f64 (.f64 c c) (.f64 b_2 (fma.f64 1/8 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18) a) (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18) a)) (.f64 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18) a) (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18) a)) -1/4))) (fma.f64 (pow.f64 c 3) (.f64 b_2 (fma.f64 -3/8 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 10)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 10)) 1/18)) (.f64 a (.f64 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18) a) (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18) a)) -1/3))) (fma.f64 1/4 (fma.f64 -2/9 (.f64 (pow.f64 a 3) (cbrt.f64 (/.f64 1 (pow.f64 b_2 10)))) (fma.f64 -2 (.f64 (/.f64 (.f64 (pow.f64 a 3) (cbrt.f64 (/.f64 1 (pow.f64 b_2 4)))) b_2) (/.f64 5/27 b_2)) (.f64 (pow.f64 a 3) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 b_2 10))) -2/27)))) (.f64 (pow.f64 a 3) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 b_2 10))) -1/48))))) (fma.f64 (.f64 (.f64 c a) -1/2) (*.f64 (pow.f64 (/.f64 1 b_2) 1/18) (pow.f64 (/.f64 1 b_2) 1/18)) b_2)))
(+.f64 (fma.f64 (.f64 (.f64 c a) -1/2) (.f64 (pow.f64 (/.f64 1 b_2) 1/18) (pow.f64 (/.f64 1 b_2) 1/18)) b_2) (.f64 b_2 (.f64 (.f64 c c) (+.f64 (.f64 (.f64 a (.f64 a (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18)))) -1/8) (.f64 c (fma.f64 -3/8 (.f64 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 10)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 10)) 1/18)) (.f64 (.f64 a a) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 20)) 1/18)) -1/3))) a) (+.f64 (.f64 (.f64 (pow.f64 a 3) (cbrt.f64 (/.f64 1 (pow.f64 b_2 10)))) -11/144) (.f64 1/4 (fma.f64 -2/27 (.f64 (pow.f64 a 3) (cbrt.f64 (/.f64 1 (pow.f64 b_2 10)))) (.f64 (/.f64 -2 b_2) (/.f64 (.f64 (pow.f64 a 3) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 b_2 4))) 5/27)) b_2)))))))))))

prune195.0ms (3.5%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	269	1	270
Fresh	1	8	9
Picked	0	1	1
Done	0	2	2
Total	270	12	282

Error

4.5b

Counts

282 → 12

Alt Table

Status	Error	Program
✓	32.3b	(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 3/2)) a)
	45.7b	(.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))) (/.f64 1 a))
	51.0b	(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (pow.f64 b_2 2) 1/3) 3/2)) a)
	41.6b	(/.f64 (-.f64 (neg.f64 b_2) b_2) a)
	45.7b	(pow.f64 (/.f64 a (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) -1)
	41.7b	(*.f64 (/.f64 -2 a) b_2)
	50.3b	(/.f64 (fma.f64 -1/8 (.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) a) a) (.f64 -1/2 (*.f64 (/.f64 c b_2) a))) a)
✓	31.5b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
✓	32.2b	(/.f64 (-.f64 (neg.f64 b_2) (.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))) a)
	42.8b	(*.f64 -1/2 (/.f64 c b_2))
	41.7b	(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
	45.9b	(pow.f64 (cbrt.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)) 3)

Compiler

Compiled 8865 to 4013 computations (54.7% saved)

regimes631.0ms (11.4%)

Accuracy

Total -55.8b remaining (-680.8%)

Threshold costs -55.8b (-680.8%)

Counts

57 → 3

Calls

Call 1

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

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

Results

193.0ms	26.9b	`a`
80.0ms	8.2b	`b_2`
244.0ms	27.0b	`c`
87.0ms	13.5b	`(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`

Compiler

Compiled 915 to 329 computations (64% saved)

bsearch118.0ms (2.1%)

Algorithm

2×	binary-search

Calls

2 calls:

77.0ms	b_2
40.0ms	b_2

Steps

Iters	Point		Range
1.08e+130	∈ [	1.0658195631735443e+130	,	8.25365075704122e+133	]
-2.45e-96	∈ [	-1.2193216247356975e-90	,	-2.42745846277321e-96	]

Compiler

Compiled 512 to 353 computations (31.1% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

11×	`+-commutative_binary64`
11×	`*-commutative_binary64`
9×	`sub-neg_binary64`
7×	`neg-sub0_binary64`
7×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	55
1	43	55
2	60	55
3	76	55
4	85	55
5	89	55
6	90	55

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 b_2 -5892023631662993/2404907604760405225358828131112281116032698930082119547604265954848982041717359046106827774346003151904701415424) (*.f64 -1/2 (/.f64 c b_2)) (if (<=.f64 b_2 10800000000000000350142198584398849907796432721448034427337223729696918852599020879372491882122849930114339639987002118625445281792) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) (+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2)))))

Outputs

(if (<=.f64 b_2 -5892023631662993/2404907604760405225358828131112281116032698930082119547604265954848982041717359046106827774346003151904701415424) (*.f64 -1/2 (/.f64 c b_2)) (if (<=.f64 b_2 10800000000000000350142198584398849907796432721448034427337223729696918852599020879372491882122849930114339639987002118625445281792) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) (+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2)))))

(if (<=.f64 b_2 -5892023631662993/2404907604760405225358828131112281116032698930082119547604265954848982041717359046106827774346003151904701415424) (*.f64 -1/2 (/.f64 c b_2)) (if (<=.f64 b_2 10800000000000000350142198584398849907796432721448034427337223729696918852599020879372491882122849930114339639987002118625445281792) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a)))) a) (+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 (/.f64 c b_2) 1/2))))

end25.0ms (0.5%)

Stop Event

1×

fuel

Compiler

Compiled 80 to 50 computations (37.5% saved)

Details

analyze864.0ms (15.6%)

sample2.1s (37.8%)

preprocess36.0ms (0.7%)

simplify61.0ms (1.1%)

prune3.0ms (0%)

localize8.0ms (0.1%)

series28.0ms (0.5%)

rewrite73.0ms (1.3%)

simplify53.0ms (1%)

prune227.0ms (4.1%)

localize11.0ms (0.2%)

series44.0ms (0.8%)

rewrite65.0ms (1.2%)

simplify74.0ms (1.3%)

prune423.0ms (7.6%)

localize13.0ms (0.2%)

series48.0ms (0.9%)

rewrite68.0ms (1.2%)

simplify46.0ms (0.8%)

prune182.0ms (3.3%)

localize13.0ms (0.2%)

series23.0ms (0.4%)

rewrite62.0ms (1.1%)

simplify49.0ms (0.9%)

prune195.0ms (3.5%)

regimes631.0ms (11.4%)

bsearch118.0ms (2.1%)

simplify4.0ms (0.1%)

end25.0ms (0.5%)

Profiling