Details

analyze285.0ms (2.2%)

Algorithm

1×

Search

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

Compiler

Compiled 17 to 11 computations (35.3% saved)

sample1.7s (12.5%)

Results

624.0ms	5631×	body	256	valid
390.0ms	1151×	body	2048	valid
210.0ms	406×	body	4096	valid
187.0ms	700×	body	1024	valid
128.0ms	1241×	body	256	invalid
69.0ms	368×	body	512	valid
39.0ms	339×	body	256	infinite

Bogosity

preprocess152.0ms (1.1%)

Algorithm

2×	egg-herbie

Rules

1391×	`fma-neg_binary64`
685×	`div-sub_binary64`
542×	`unsub-neg_binary64`
508×	`times-frac_binary64`
354×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	80
1	65	72
2	112	72
3	222	72
4	365	72
5	620	72
6	1058	72
7	1773	72
8	4031	72
9	5484	72
10	6891	72
11	7212	72
12	7285	72
13	7349	72
0	3	3

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

simplify110.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

808×	`fma-neg_binary64`
368×	`associate-/l*_binary64`
362×	`div-sub_binary64`
341×	`fma-def_binary64`
222×	`times-frac_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	20
1	23	18
2	42	18
3	77	18
4	123	18
5	218	18
6	370	18
7	586	18
8	957	18
9	1474	18
10	2004	18
11	3234	18
12	4125	18
13	4595	18
14	4603	18
15	4611	18
16	4637	18
17	4653	18
18	4689	18
19	4719	18
20	4731	18

Stop Event

1×

saturated

Counts

1 → 3

Calls

Call 1

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

Outputs

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

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

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

eval1.0ms (0%)

Compiler: Compiled 40 to 18 computations (55% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	2	1	3
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	3	1	4

Error

34.8b

Counts

4 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	34.8b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)

Compiler

Compiled 15 to 9 computations (40% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
✓	0.5b	(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)
✓	1.4b	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	23.6b	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

Compiler

Compiled 49 to 9 computations (81.6% saved)

series25.0ms (0.2%)

Counts

4 → 96

Calls

36 calls:

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

rewrite94.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

700×	`fma-def_binary64`
629×	`log-prod_binary64`
338×	`fma-neg_binary64`
323×	`pow2_binary64`
221×	`pow1/3_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	55
1	239	55
2	3668	52

Stop Event

1×	node limit

Counts

4 → 357

Calls

Call 1

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

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

simplify205.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

861×	`fma-neg_binary64`
452×	`fma-def_binary64`
334×	`associate-r_binary64`
269×	`associate-l_binary64`
222×	`+-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	810	11217
1	2017	10437
2	7240	10413

Stop Event

1×	node limit

Counts

453 → 670

Calls

Call 1

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

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

eval254.0ms (1.9%)

Compiler: Compiled 16371 to 5612 computations (65.7% saved)

prune169.0ms (1.3%)

Pruning

27 alts after pruning (26 fresh and 1 done)

	Pruned	Kept	Total
New	644	26	670
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	644	27	671

Error

6.1b

Counts

671 → 27

Alt Table

Click to see full alt table

Status	Error	Program
	35.3b	(fma.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/4) (/.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/4) a) (/.f64 (neg.f64 b_2) a))
	36.0b	(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))) a)) 2) (cbrt.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))) a)) (neg.f64 (/.f64 b_2 a)))
	32.4b	(pow.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2)) -1)
	45.4b	(pow.f64 (sqrt.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2) a)) 2)
	32.8b	(pow.f64 (cbrt.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2) a)) 3)
	35.3b	(/.f64 (fma.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) (neg.f64 b_2)) a)
	44.6b	(/.f64 (/.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (.f64 c a))) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))))) a)
	46.0b	(/.f64 (/.f64 -1/2 (/.f64 b_2 (*.f64 c a))) a)
▶	35.3b	(/.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 2) b_2) a)
	56.6b	(/.f64 (-.f64 (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2))) b_2) a)
✓	34.8b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
	34.8b	(/.f64 (-.f64 (sqrt.f64 (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 2 (fma.f64 a (neg.f64 c) (.f64 c a))))) b_2) a)
	43.6b	(/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)
	52.5b	(/.f64 (-.f64 (sqrt.f64 (*.f64 b_2 b_2)) b_2) a)
	43.3b	(/.f64 (-.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3/2)) b_2) a)
	56.4b	(/.f64 (-.f64 b_2 b_2) a)
	40.3b	(/.f64 (*.f64 c -1/2) b_2)
	46.1b	(/.f64 (*.f64 b_2 -2) a)
	45.9b	(/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)
▶	34.5b	(/.f64 (exp.f64 (log.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2))) a)
	33.3b	(-.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) a) (/.f64 b_2 a))
	49.2b	(-.f64 (.f64 (/.f64 (pow.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a))) 1/4) (sqrt.f64 a)) (/.f64 (pow.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a))) 1/4) (sqrt.f64 a))) (/.f64 b_2 a))
▶	46.3b	(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
	32.8b	(.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))) b_2)) 2) (.f64 (cbrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))) b_2)) (/.f64 1 a)))
▶	32.4b	(.f64 (/.f64 1 a) (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))) b_2))
	43.0b	(.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))) b_2) a) 2)) (cbrt.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2) a)))
▶	46.1b	(*.f64 -2 (/.f64 b_2 a))

Compiler

Compiled 951 to 565 computations (40.6% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))
✓	0.0b	(-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2)
✓	0.2b	(.f64 (/.f64 1 a) (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))) b_2))
✓	12.6b	(sqrt.f64 (neg.f64 (*.f64 a c)))

Compiler

Compiled 51 to 14 computations (72.5% saved)

series49.0ms (0.4%)

Counts

4 → 38

Calls

33 calls:

Time	Variable		Point	Expression
5.0ms	c	@	0	(-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2)
4.0ms	a	@	inf	(.f64 (/.f64 1 a) (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))) b_2))
3.0ms	a	@	-inf	(.f64 (/.f64 1 a) (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))) b_2))
3.0ms	c	@	inf	(-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2)
3.0ms	a	@	0	(.f64 (/.f64 1 a) (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))) b_2))

rewrite72.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

660×	`prod-diff_binary64`
595×	`log-prod_binary64`
296×	`pow2_binary64`
261×	`fma-def_binary64`
250×	`pow-unpow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	50
1	254	42
2	3403	42

Stop Event

1×	node limit

Counts

4 → 197

Calls

Call 1

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

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

simplify119.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

399×	`div-sub_binary64`
377×	`fma-neg_binary64`
296×	`fma-def_binary64`
245×	`associate-r_binary64`
226×	`log-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	541	5321
1	1329	4833
2	5196	4796

Stop Event

1×	node limit

Counts

235 → 377

Calls

Call 1

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

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

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 -2 (/.f64 b_2 a))

Compiler

Compiled 14 to 7 computations (50% saved)

series3.0ms (0%)

Counts

1 → 0

Calls

6 calls:

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

rewrite40.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

653×	`pow1_binary64`
606×	`add-log-exp_binary64`
606×	`log1p-expm1-u_binary64`
606×	`expm1-log1p-u_binary64`
594×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	127	7
2	1610	7

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

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

Outputs

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

simplify49.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

701×	`log-prod_binary64`
437×	`associate-l_binary64`
397×	`associate-r_binary64`
321×	`log-div_binary64`
288×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	56	260
1	142	200
2	513	140
3	3935	140

Stop Event

1×	node limit

Counts

20 → 23

Calls

Call 1

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

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

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 35 to 16 computations (54.3% saved)

series7.0ms (0%)

Counts

2 → 9

Calls

15 calls:

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

rewrite91.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

626×	`log-prod_binary64`
372×	`pow-prod-down_binary64`
328×	`fma-def_binary64`
325×	`pow2_binary64`
226×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	21
1	246	21
2	3422	21

Stop Event

1×	node limit

Counts

2 → 97

Calls

Call 1

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

Outputs

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

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

simplify53.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

851×	`fma-def_binary64`
356×	`associate-*l/_binary64`
276×	`associate-*r/_binary64`
253×	`times-frac_binary64`
248×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	238	1830
1	563	1770
2	1676	1738

Stop Event

1×	node limit

Counts

106 → 124

Calls

Call 1

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

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

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 2)
	1.4b	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	10.0b	(-.f64 (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 2) b_2)
✓	24.2b	(pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4)

Compiler

Compiled 69 to 25 computations (63.8% saved)

series42.0ms (0.3%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
6.0ms	a	@	inf	(pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4)
4.0ms	c	@	0	(-.f64 (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 2) b_2)
2.0ms	a	@	0	(-.f64 (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 2) b_2)
2.0ms	a	@	-inf	(-.f64 (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 2) b_2)
2.0ms	a	@	inf	(-.f64 (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 2) b_2)

rewrite67.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

642×	`fma-def_binary64`
599×	`log-prod_binary64`
339×	`pow2_binary64`
278×	`fma-neg_binary64`
228×	`expm1-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	42
1	283	40
2	3702	38

Stop Event

1×	node limit

Counts

3 → 157

Calls

Call 1

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

Outputs

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

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

simplify165.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

849×	`fma-def_binary64`
502×	`associate-l_binary64`
353×	`times-frac_binary64`
317×	`associate-/r*_binary64`
305×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	878	11845
1	2838	10308

Stop Event

1×	node limit

Counts

265 → 511

Calls

Call 1

Inputs
(pow.f64 (.f64 -1 (.f64 c a)) 1/4)
(+.f64 (.f64 -1/4 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b_2 2))) (pow.f64 (.f64 -1 (*.f64 c a)) 1/4))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b_2 2))) (+.f64 (.f64 -3/32 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b_2 4))) (pow.f64 (.f64 -1 (.f64 c a)) 1/4)))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b_2 2))) (+.f64 (.f64 -7/128 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 11) (pow.f64 a 11))) 1/4) (pow.f64 b_2 6))) (+.f64 (.f64 -3/32 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b_2 4))) (pow.f64 (.f64 -1 (*.f64 c a)) 1/4))))
(sqrt.f64 b_2)
(+.f64 (.f64 -1/4 (.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (sqrt.f64 b_2))
(+.f64 (.f64 -1/4 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (+.f64 (sqrt.f64 b_2) (.f64 (+.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 1/32 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (sqrt.f64 (/.f64 1 (pow.f64 b_2 7))))))
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(.f64 -1/2 (/.f64 (.f64 c a) b_2))
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(-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2) b_2)
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(-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) b_2)
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(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (sqrt.f64 -1) (pow.f64 b_2 2)))))
(+.f64 (.f64 (pow.f64 b_2 4) (+.f64 (.f64 -3/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (sqrt.f64 -1))) (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (sqrt.f64 -1))))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (*.f64 (sqrt.f64 -1) (pow.f64 b_2 2))))))
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b_2
(+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
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(*.f64 -1 b_2)
(+.f64 (.f64 -1 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))
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b_2
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(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)
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b_2
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(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2)
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(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)
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(-.f64 (exp.f64 (log1p.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4))) 1)
(.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)) 1/4) 1)
(.f64 1 (pow.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)) 1/4))
(.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4)))
(.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4)) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))
(.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))
(.f64 (sqrt.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (sqrt.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))))
(.f64 (pow.f64 1 1/4) (pow.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)) 1/4))
(.f64 (pow.f64 (cbrt.f64 (pow.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))
(.f64 (pow.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))) 1/4) (pow.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) 1/4))
(sqrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))
(fabs.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4))
(log.f64 (exp.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4))))
(cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/4))
(expm1.f64 (log1p.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4)))
(log1p.f64 (expm1.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4)))
(exp.f64 (.f64 1/4 (log.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))))
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(fma.f64 (+.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) (sqrt.f64 b_2)) (-.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) (sqrt.f64 b_2)) (fma.f64 (neg.f64 (cbrt.f64 b_2)) (pow.f64 (cbrt.f64 b_2) 2) b_2))
(fma.f64 (+.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) (sqrt.f64 b_2)) (-.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) (sqrt.f64 b_2)) (+.f64 (neg.f64 b_2) b_2))
(fma.f64 (.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))) (cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4)) (neg.f64 b_2))
(fma.f64 (.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))) (cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4)) (*.f64 (neg.f64 b_2) 1))
(+.f64 0 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) 1)
(.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 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))) 1)
(.f64 1 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))
(.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
(.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4)) (pow.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)) 1/4)))
(.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))
(.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/8) (.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/8) (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4)))
(.f64 (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/8) 3) (pow.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)) 1/8))
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 2))) (sqrt.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))))
(.f64 (pow.f64 1 1/2) (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))
(.f64 (.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))) (cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)) 1/4)))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 4) (pow.f64 (.f64 a c) 2))) (hypot.f64 b_2 (sqrt.f64 (.f64 a c))))
(/.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))))
(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
(fabs.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))
(log.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))
(log.f64 (+.f64 1 (expm1.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))))
(cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2))
(hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))
(hypot.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))) (sqrt.f64 (fma.f64 a (neg.f64 c) (.f64 a c))))
(hypot.f64 (sqrt.f64 (fma.f64 a (neg.f64 c) (.f64 a c))) (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))
(hypot.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) b_2)
(expm1.f64 (log1p.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))
(log1p.f64 (expm1.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))
(exp.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))
(exp.f64 (.f64 (log.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) 1/2))
(exp.f64 (.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) 1))

Outputs
(pow.f64 (.f64 -1 (.f64 c a)) 1/4)
(pow.f64 (*.f64 a (neg.f64 c)) 1/4)
(pow.f64 (*.f64 c (neg.f64 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))
(fma.f64 -1/4 (.f64 (pow.f64 (/.f64 -1 (pow.f64 (.f64 c a) 3)) 1/4) (.f64 b_2 b_2)) (pow.f64 (.f64 a (neg.f64 c)) 1/4))
(fma.f64 -1/4 (.f64 (pow.f64 (/.f64 -1 (pow.f64 (.f64 c a) 3)) 1/4) (.f64 b_2 b_2)) (pow.f64 (.f64 c (neg.f64 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)))
(fma.f64 -1/4 (.f64 (pow.f64 (/.f64 -1 (pow.f64 (.f64 c 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 a (neg.f64 c)) 1/4)))
(fma.f64 -1/4 (.f64 (pow.f64 (/.f64 -1 (pow.f64 (.f64 c 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)))
(+.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 (pow.f64 (.f64 c 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 a (neg.f64 c)) 1/4))))
(fma.f64 -1/4 (.f64 (pow.f64 (/.f64 -1 (pow.f64 (.f64 c 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))))
(sqrt.f64 b_2)
(+.f64 (.f64 -1/4 (.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (sqrt.f64 b_2))
(fma.f64 -1/4 (.f64 c (.f64 a (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (sqrt.f64 b_2))
(fma.f64 (.f64 -1/4 (.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))))))
(fma.f64 -1/4 (.f64 c (.f64 a (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (+.f64 (sqrt.f64 b_2) (.f64 (.f64 (.f64 (.f64 c c) (*.f64 a a)) -3/32) (sqrt.f64 (/.f64 1 (pow.f64 b_2 7))))))
(fma.f64 -1/4 (.f64 c (.f64 a (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (fma.f64 (.f64 (pow.f64 (.f64 c a) 2) -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 (pow.f64 (.f64 c a) 3) (.f64 (pow.f64 (.f64 c 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 c (.f64 a (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 b_2 11))) (.f64 (pow.f64 (.f64 c a) 3) -7/128) (fma.f64 (.f64 (pow.f64 (.f64 c a) 2) -3/32) (sqrt.f64 (/.f64 1 (pow.f64 b_2 7))) (sqrt.f64 b_2))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 b_2))
(*.f64 (sqrt.f64 b_2) (sqrt.f64 -1))
(+.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 b_2)) (.f64 -1/4 (.f64 (.f64 c (*.f64 (sqrt.f64 -1) a)) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))))
(fma.f64 (sqrt.f64 -1) (sqrt.f64 b_2) (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))) (.f64 c (.f64 a (sqrt.f64 -1))))))
(fma.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))) (.f64 c (.f64 a (sqrt.f64 -1)))) (.f64 (sqrt.f64 b_2) (sqrt.f64 -1)))
(+.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 b_2)) (+.f64 (.f64 -1/4 (.f64 (.f64 c (.f64 (sqrt.f64 -1) a)) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (.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 -1)) (sqrt.f64 (/.f64 1 (pow.f64 b_2 7))))))
(fma.f64 (sqrt.f64 -1) (sqrt.f64 b_2) (fma.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))) (.f64 c (.f64 a (sqrt.f64 -1)))) (.f64 (.f64 (.f64 (.f64 c c) (.f64 a a)) -3/32) (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (pow.f64 b_2 7)))))))
(fma.f64 (sqrt.f64 b_2) (sqrt.f64 -1) (fma.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))) (.f64 c (.f64 a (sqrt.f64 -1)))) (.f64 (.f64 (pow.f64 (.f64 c a) 2) -3/32) (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (pow.f64 b_2 7)))))))
(+.f64 (.f64 (.f64 (sqrt.f64 -1) (+.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)))))) (sqrt.f64 (/.f64 1 (pow.f64 b_2 11)))) (+.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 b_2)) (+.f64 (.f64 -1/4 (.f64 (.f64 c (.f64 (sqrt.f64 -1) a)) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (.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 -1)) (sqrt.f64 (/.f64 1 (pow.f64 b_2 7)))))))
(fma.f64 (.f64 (fma.f64 -1/384 (pow.f64 (.f64 c a) 3) (.f64 (pow.f64 (.f64 c a) 3) -5/96)) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 b_2 11))) (fma.f64 (sqrt.f64 -1) (sqrt.f64 b_2) (fma.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))) (.f64 c (.f64 a (sqrt.f64 -1)))) (.f64 (.f64 (.f64 (.f64 c c) (.f64 a a)) -3/32) (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (pow.f64 b_2 7))))))))
(+.f64 (.f64 (sqrt.f64 -1) (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 b_2 11))) (.f64 (pow.f64 (.f64 c a) 3) -7/128) (sqrt.f64 b_2))) (fma.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))) (.f64 c (.f64 a (sqrt.f64 -1)))) (.f64 (.f64 (pow.f64 (.f64 c a) 2) -3/32) (.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (pow.f64 b_2 7)))))))
(*.f64 (pow.f64 1 1/4) (sqrt.f64 b_2))
(sqrt.f64 b_2)
(+.f64 (.f64 (pow.f64 1 1/4) (sqrt.f64 b_2)) (.f64 -1/4 (.f64 (.f64 c a) (*.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3)))))))
(fma.f64 -1/4 (.f64 c (.f64 a (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (sqrt.f64 b_2))
(fma.f64 (.f64 -1/4 (.f64 c a)) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))) (sqrt.f64 b_2))
(+.f64 (.f64 (pow.f64 1 1/4) (sqrt.f64 b_2)) (+.f64 (.f64 -1/4 (.f64 (.f64 c a) (.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3)))))) (.f64 (pow.f64 1 1/4) (.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)))))
(fma.f64 1 (sqrt.f64 b_2) (fma.f64 -1/4 (.f64 (.f64 c a) (.f64 1 (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (.f64 1 (.f64 (sqrt.f64 b_2) (.f64 (.f64 a a) (.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 4)) -3/32))))))
(+.f64 (sqrt.f64 b_2) (fma.f64 (.f64 -1/4 (.f64 c a)) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))) (.f64 a (.f64 a (.f64 (/.f64 c (/.f64 (pow.f64 b_2 4) c)) (.f64 -3/32 (sqrt.f64 b_2)))))))
(+.f64 (.f64 (pow.f64 1 1/4) (.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 (pow.f64 1 1/4) (sqrt.f64 b_2)) (+.f64 (.f64 -1/4 (.f64 (.f64 c a) (.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3)))))) (.f64 (pow.f64 1 1/4) (.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))))))
(fma.f64 1 (.f64 (pow.f64 a 3) (.f64 (fma.f64 -1/12 (/.f64 (pow.f64 c 3) (pow.f64 b_2 6)) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 6)) 11/384)) (sqrt.f64 b_2))) (fma.f64 1 (sqrt.f64 b_2) (fma.f64 -1/4 (.f64 (.f64 c a) (.f64 1 (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (.f64 1 (.f64 (sqrt.f64 b_2) (.f64 (.f64 a a) (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 4)) -3/32)))))))
(+.f64 (fma.f64 (.f64 (pow.f64 a 3) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 6)) -7/128)) (sqrt.f64 b_2) (sqrt.f64 b_2)) (fma.f64 (.f64 -1/4 (.f64 c a)) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))) (.f64 a (.f64 a (.f64 (/.f64 c (/.f64 (pow.f64 b_2 4) c)) (.f64 -3/32 (sqrt.f64 b_2)))))))
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c)))))
(pow.f64 (exp.f64 1/4) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 (neg.f64 c))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a)))
(+.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))))))
(fma.f64 -1/4 (.f64 (/.f64 (.f64 b_2 b_2) c) (/.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 (neg.f64 c)))) a)) (pow.f64 (exp.f64 1/4) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 (neg.f64 c)))))
(fma.f64 -1/4 (*.f64 (/.f64 b_2 (/.f64 c b_2)) (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a))) a)) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a))))
(+.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)))))))
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(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (+.f64 (.f64 -1/32 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3))) (+.f64 (.f64 1/12 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3))) (.f64 1/384 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3))))))) (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))) (.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2)))) (.f64 (pow.f64 b_2 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2))) a))) (pow.f64 c 3))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 b_2 4) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (.f64 2 (/.f64 (.f64 (+.f64 (.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))) (.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (pow.f64 c 2))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b_2 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (.f64 c a))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2))))) b_2)
(-.f64 (fma.f64 -1 (/.f64 (fma.f64 2 (.f64 (fma.f64 -1/32 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3)) (.f64 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3)) 11/128)) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2)) (.f64 1/2 (/.f64 (.f64 (.f64 (/.f64 (pow.f64 b_2 4) (.f64 a a)) -3/32) (.f64 (.f64 b_2 b_2) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2))) a))) (pow.f64 c 3)) (fma.f64 1/16 (/.f64 (.f64 (pow.f64 b_2 4) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2)) (.f64 (.f64 c c) (.f64 a a))) (fma.f64 2 (/.f64 (.f64 (.f64 (/.f64 (pow.f64 b_2 4) (.f64 a a)) -3/32) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2)) (.f64 c c)) (fma.f64 -1/2 (.f64 (/.f64 (.f64 b_2 b_2) c) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2) a)) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2))))) b_2)
(-.f64 (-.f64 (fma.f64 1/16 (.f64 (/.f64 (pow.f64 b_2 4) (pow.f64 (.f64 c a) 2)) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2)) (fma.f64 2 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2) (/.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 4)) -3/32)) (fma.f64 -1/2 (.f64 (/.f64 (.f64 b_2 b_2) a) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2) c)) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2)))) (/.f64 (fma.f64 2 (.f64 (.f64 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3)) 7/128) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2)) (.f64 1/2 (.f64 (/.f64 (/.f64 (.f64 (pow.f64 b_2 4) -3/32) (.f64 a a)) a) (.f64 (*.f64 b_2 b_2) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2))))) (pow.f64 c 3))) b_2)
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))
(.f64 (sqrt.f64 -1) (sqrt.f64 (.f64 c a)))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (sqrt.f64 -1) (pow.f64 b_2 2)))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (.f64 b_2 b_2) (sqrt.f64 -1)))))
(fma.f64 -1/2 (.f64 (sqrt.f64 -1) (.f64 (.f64 b_2 b_2) (sqrt.f64 (/.f64 1 (.f64 c a))))) (.f64 (sqrt.f64 -1) (sqrt.f64 (.f64 c a))))
(+.f64 (.f64 (pow.f64 b_2 4) (+.f64 (.f64 -3/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (sqrt.f64 -1))) (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (sqrt.f64 -1))))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (*.f64 (sqrt.f64 -1) (pow.f64 b_2 2))))))
(fma.f64 (pow.f64 b_2 4) (.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (pow.f64 (.f64 c a) 3)))) -1/8) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (*.f64 b_2 b_2) (sqrt.f64 -1))))))
(fma.f64 (pow.f64 b_2 4) (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 c a) 3))) -1/8)) (fma.f64 -1/2 (.f64 (sqrt.f64 -1) (.f64 (.f64 b_2 b_2) (sqrt.f64 (/.f64 1 (.f64 c a))))) (.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 c a)))))
(+.f64 (.f64 (pow.f64 b_2 4) (+.f64 (.f64 -3/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (sqrt.f64 -1))) (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (sqrt.f64 -1))))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (sqrt.f64 -1) (pow.f64 b_2 2)))) (.f64 (pow.f64 b_2 6) (+.f64 (.f64 -7/64 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (sqrt.f64 -1))) (.f64 3/64 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (sqrt.f64 -1))))))))
(fma.f64 (pow.f64 b_2 4) (.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (pow.f64 (.f64 c a) 3)))) -1/8) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (.f64 b_2 b_2) (sqrt.f64 -1))) (.f64 (pow.f64 b_2 6) (.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5))))) -1/16)))))
(fma.f64 (pow.f64 b_2 4) (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 c a) 3))) -1/8)) (fma.f64 (sqrt.f64 -1) (sqrt.f64 (.f64 c a)) (fma.f64 (pow.f64 b_2 6) (.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 5)) (pow.f64 a 5))) (.f64 (sqrt.f64 -1) -1/16)) (.f64 -1/2 (.f64 (sqrt.f64 -1) (.f64 (.f64 b_2 b_2) (sqrt.f64 (/.f64 1 (*.f64 c a)))))))))
b_2
(+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 b_2 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))))
(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 (.f64 -1/4 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))))
(fma.f64 1/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3)) (fma.f64 -1/4 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3)) (+.f64 b_2 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))))))
(+.f64 (/.f64 (pow.f64 (.f64 c a) 2) (/.f64 (pow.f64 b_2 3) -1/8)) (fma.f64 -1/2 (.f64 (/.f64 c b_2) a) b_2))
(+.f64 (.f64 2 (/.f64 (+.f64 (.f64 1/32 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (.f64 -1/384 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (.f64 -1/12 (.f64 (pow.f64 c 3) (pow.f64 a 3))))) (pow.f64 b_2 5))) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (+.f64 (.f64 -1/2 (/.f64 (.f64 c (.f64 (+.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 1/32 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) a)) (pow.f64 b_2 5))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))))))
(fma.f64 2 (/.f64 (fma.f64 1/32 (pow.f64 (.f64 c a) 3) (.f64 (pow.f64 (.f64 c a) 3) -11/128)) (pow.f64 b_2 5)) (fma.f64 1/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3)) (fma.f64 -1/4 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3)) (+.f64 b_2 (.f64 -1/2 (+.f64 (/.f64 (.f64 c (.f64 a (.f64 (.f64 (.f64 c c) (.f64 a a)) -3/32))) (pow.f64 b_2 5)) (/.f64 c (/.f64 b_2 a))))))))
(fma.f64 2 (/.f64 (.f64 (pow.f64 (.f64 c a) 3) -7/128) (pow.f64 b_2 5)) (+.f64 (/.f64 (pow.f64 (.f64 c a) 2) (/.f64 (pow.f64 b_2 3) -1/8)) (fma.f64 -1/2 (+.f64 (.f64 (/.f64 c (pow.f64 b_2 5)) (.f64 (pow.f64 (.f64 c a) 2) (.f64 -3/32 a))) (.f64 (/.f64 c b_2) a)) b_2)))
(*.f64 -1 b_2)
(neg.f64 b_2)
(+.f64 (.f64 -1 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(fma.f64 -1 b_2 (*.f64 (/.f64 c (/.f64 b_2 a)) 1/2))
(-.f64 (.f64 (.f64 (/.f64 c b_2) a) 1/2) b_2)
(+.f64 (.f64 -1 b_2) (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 1/4 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))))))
(fma.f64 -1 b_2 (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) (.f64 1/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3)))))
(-.f64 (fma.f64 (.f64 (/.f64 c b_2) a) 1/2 (/.f64 1/8 (/.f64 (pow.f64 b_2 3) (pow.f64 (.f64 c a) 2)))) b_2)
(+.f64 (.f64 -1 b_2) (+.f64 (.f64 1/2 (/.f64 (.f64 c (.f64 (+.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 1/32 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) a)) (pow.f64 b_2 5))) (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 1/32 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (.f64 -1/384 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (.f64 -1/12 (.f64 (pow.f64 c 3) (pow.f64 a 3))))) (pow.f64 b_2 5))) (.f64 1/4 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))))))))
(fma.f64 -1 b_2 (fma.f64 1/2 (/.f64 (.f64 c (.f64 a (.f64 (.f64 (.f64 c c) (.f64 a a)) -3/32))) (pow.f64 b_2 5)) (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) (fma.f64 -1/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3)) (fma.f64 -2 (/.f64 (fma.f64 1/32 (pow.f64 (.f64 c a) 3) (.f64 (pow.f64 (.f64 c a) 3) -11/128)) (pow.f64 b_2 5)) (.f64 1/4 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3))))))))
(-.f64 (fma.f64 1/2 (.f64 (/.f64 c (pow.f64 b_2 5)) (.f64 (pow.f64 (.f64 c a) 2) (.f64 -3/32 a))) (fma.f64 (.f64 (/.f64 c b_2) a) 1/2 (fma.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) (fma.f64 1/4 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) (.f64 (/.f64 (.f64 (pow.f64 (.f64 c a) 3) -7/128) (pow.f64 b_2 5)) -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 (+.f64 (.f64 1/16 (/.f64 (pow.f64 c 2) (pow.f64 b_2 3))) (.f64 2 (.f64 b_2 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 4))) (.f64 1/32 (/.f64 (pow.f64 c 2) (pow.f64 b_2 4))))))) (pow.f64 a 2)) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(fma.f64 (fma.f64 1/16 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 2 (.f64 b_2 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 4)) -3/32)))) (.f64 a a) (+.f64 b_2 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))))
(fma.f64 (.f64 a a) (fma.f64 2 (.f64 b_2 (/.f64 (.f64 (.f64 c c) -3/32) (pow.f64 b_2 4))) (/.f64 (.f64 (.f64 c c) 1/16) (pow.f64 b_2 3))) (fma.f64 -1/2 (*.f64 (/.f64 c b_2) a) b_2))
(+.f64 (.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 c 2) (pow.f64 b_2 3))) (.f64 2 (.f64 b_2 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 4))) (.f64 1/32 (/.f64 (pow.f64 c 2) (pow.f64 b_2 4))))))) (pow.f64 a 2)) (+.f64 (.f64 (pow.f64 a 3) (+.f64 (.f64 2 (.f64 b_2 (+.f64 (.f64 -1/12 (/.f64 (pow.f64 c 3) (pow.f64 b_2 6))) (+.f64 (.f64 1/32 (/.f64 (pow.f64 c 3) (pow.f64 b_2 6))) (.f64 -1/384 (/.f64 (pow.f64 c 3) (pow.f64 b_2 6))))))) (.f64 -1/2 (/.f64 (.f64 c (+.f64 (.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 4))) (.f64 1/32 (/.f64 (pow.f64 c 2) (pow.f64 b_2 4))))) b_2)))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))))
(fma.f64 (fma.f64 1/16 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 2 (.f64 b_2 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 4)) -3/32)))) (.f64 a a) (fma.f64 (pow.f64 a 3) (fma.f64 2 (.f64 b_2 (fma.f64 -1/12 (/.f64 (pow.f64 c 3) (pow.f64 b_2 6)) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 6)) 11/384))) (.f64 -1/2 (/.f64 (.f64 c (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 4)) -3/32)) b_2))) (+.f64 b_2 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))))))
(fma.f64 (.f64 a a) (fma.f64 2 (.f64 b_2 (/.f64 (.f64 (.f64 c c) -3/32) (pow.f64 b_2 4))) (/.f64 (.f64 (.f64 c c) 1/16) (pow.f64 b_2 3))) (fma.f64 (pow.f64 a 3) (fma.f64 2 (.f64 b_2 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 6)) -7/128)) (/.f64 -1/2 (/.f64 b_2 (.f64 c (/.f64 (.f64 (.f64 c c) -3/32) (pow.f64 b_2 4)))))) (fma.f64 -1/2 (.f64 (/.f64 c b_2) a) b_2)))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 (neg.f64 c)))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a))) 2)
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b_2 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) 2)) (.f64 c a))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) 2))
(fma.f64 -1/2 (.f64 (/.f64 (.f64 b_2 b_2) c) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 (neg.f64 c)))) 2) a)) (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 (neg.f64 c)))) 2))
(fma.f64 -1/2 (.f64 (/.f64 (.f64 b_2 b_2) a) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a))) 2) c)) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a))) 2))
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(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 1 c)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 c) (log.f64 (/.f64 -1 a)))) 2)
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b_2
(+.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)
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(fma.f64 (pow.f64 c 3) (fma.f64 b_2 (fma.f64 -1/384 (/.f64 (pow.f64 a 3) (pow.f64 b_2 6)) (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b_2 6)) -5/96)) (fma.f64 b_2 (fma.f64 -1/384 (/.f64 (pow.f64 a 3) (pow.f64 b_2 6)) (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b_2 6)) -5/96)) (.f64 -1/2 (/.f64 a (/.f64 b_2 (.f64 (/.f64 (.f64 a a) (pow.f64 b_2 4)) -3/32)))))) (+.f64 b_2 (fma.f64 (.f64 c c) (fma.f64 2 (.f64 b_2 (.f64 (/.f64 (.f64 a a) (pow.f64 b_2 4)) -3/32)) (.f64 1/16 (/.f64 (.f64 a a) (pow.f64 b_2 3)))) (.f64 -1/2 (/.f64 c (/.f64 b_2 a))))))
(fma.f64 (pow.f64 c 3) (+.f64 (.f64 2 (.f64 b_2 (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b_2 6)) -7/128))) (.f64 -1/2 (.f64 (/.f64 a b_2) (.f64 (/.f64 a (/.f64 (pow.f64 b_2 4) a)) -3/32)))) (+.f64 b_2 (fma.f64 (.f64 c c) (fma.f64 2 (.f64 (/.f64 a (/.f64 (pow.f64 b_2 4) a)) (.f64 -3/32 b_2)) (/.f64 1/16 (/.f64 (pow.f64 b_2 3) (.f64 a a)))) (/.f64 (*.f64 c -1/2) (/.f64 b_2 a)))))
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(.f64 (.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))) (cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)) 1/4)))
(.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/4) (cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)) 1/4))))
(.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/4) (.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a))))) (cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)) 1/4))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 4) (pow.f64 (.f64 a c) 2))) (hypot.f64 b_2 (sqrt.f64 (.f64 a c))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 4) (pow.f64 (.f64 c a) 2))) (hypot.f64 b_2 (sqrt.f64 (.f64 c a))))
(/.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))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 6) (pow.f64 (.f64 c a) 3))) (sqrt.f64 (fma.f64 (.f64 c a) (fma.f64 b_2 b_2 (*.f64 c a)) (pow.f64 b_2 4))))
(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
(pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/2)
(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))
(fabs.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))
(fabs.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))))
(log.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))
(hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))
(hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))
(log.f64 (+.f64 1 (expm1.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))))
(hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))
(hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))
(cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2))
(cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3/2))
(hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))
(hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))
(hypot.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))) (sqrt.f64 (fma.f64 a (neg.f64 c) (.f64 a c))))
(hypot.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))) (sqrt.f64 (fma.f64 a (neg.f64 c) (.f64 c a))))
(hypot.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) (sqrt.f64 (.f64 0 (*.f64 c a))))
(hypot.f64 (sqrt.f64 (fma.f64 a (neg.f64 c) (.f64 a c))) (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))
(hypot.f64 (sqrt.f64 (fma.f64 a (neg.f64 c) (.f64 c a))) (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))
(hypot.f64 (sqrt.f64 (.f64 0 (.f64 c a))) (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))))
(hypot.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) b_2)
(hypot.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2)
(expm1.f64 (log1p.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))
(hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))
(hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))
(log1p.f64 (expm1.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))
(hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))
(hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))
(exp.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))
(hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))
(hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))
(exp.f64 (.f64 (log.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) 1/2))
(pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/2)
(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))
(exp.f64 (.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) 1))
(hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))
(hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2)
✓	0.1b	(/.f64 (exp.f64 (log.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2))) a)
✓	2.9b	(exp.f64 (log.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2)))
	12.6b	(sqrt.f64 (neg.f64 (*.f64 a c)))

Compiler

Compiled 68 to 11 computations (83.8% saved)

series10.0ms (0.1%)

Counts

2 → 24

Calls

18 calls:

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

rewrite76.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

681×	`prod-diff_binary64`
593×	`log-prod_binary64`
291×	`pow2_binary64`
261×	`fma-def_binary64`
243×	`pow-unpow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	31
1	246	27
2	3339	27

Stop Event

1×	node limit

Counts

2 → 154

Calls

Call 1

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

Outputs

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

simplify83.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

552×	`unswap-sqr_binary64`
268×	`sqr-pow_binary64`
225×	`associate-r_binary64`
209×	`fma-def_binary64`
194×	`div-sub_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	461	4332
1	1162	4057
2	4221	4002

Stop Event

1×	node limit

Counts

178 → 267

Calls

Call 1

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

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

eval747.0ms (5.6%)

Compiler: Compiled 54054 to 26559 computations (50.9% saved)

prune663.0ms (5%)

Pruning

42 alts after pruning (39 fresh and 3 done)

	Pruned	Kept	Total
New	1785	26	1811
Fresh	8	13	21
Picked	1	0	1
Done	2	3	5
Total	1796	42	1838

Error

0.2b

Counts

1838 → 42

Alt Table

Click to see full alt table

Status	Error	Program
	35.3b	(fma.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/4) (/.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/4) a) (/.f64 (neg.f64 b_2) a))
	36.0b	(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))) a)) 2) (cbrt.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))) a)) (neg.f64 (/.f64 b_2 a)))
▶	32.4b	(pow.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2)) -1)
	45.4b	(pow.f64 (sqrt.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2) a)) 2)
	46.4b	(pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 b_2 a))) 3)
	35.3b	(/.f64 (fma.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) (neg.f64 b_2)) a)
▶	44.6b	(/.f64 (/.f64 (-.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (.f64 b_2 b_2)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))) a)
	45.9b	(/.f64 (/.f64 (.f64 (.f64 -1/2 c) a) b_2) a)
	44.5b	(/.f64 (/.f64 (*.f64 c -1/2) (/.f64 b_2 a)) a)
	46.5b	(/.f64 (/.f64 (*.f64 -2 b_2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
	46.0b	(/.f64 (/.f64 -1/2 (/.f64 b_2 (*.f64 c a))) a)
	43.6b	(/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 c (neg.f64 a)) 1/4) 2) b_2) a)
	56.5b	(/.f64 (-.f64 (+.f64 b_2 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))) b_2) a)
✓	34.8b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
	34.8b	(/.f64 (-.f64 (sqrt.f64 (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 2 (fma.f64 a (neg.f64 c) (.f64 c a))))) b_2) a)
	43.6b	(/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)
	52.5b	(/.f64 (-.f64 (sqrt.f64 (*.f64 b_2 b_2)) b_2) a)
	43.3b	(/.f64 (-.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3/2)) b_2) a)
	46.4b	(/.f64 (+.f64 (.f64 -2 b_2) (.f64 (/.f64 c (/.f64 b_2 a)) 1/2)) a)
	40.3b	(/.f64 (*.f64 c -1/2) b_2)
	59.3b	(/.f64 (neg.f64 b_2) a)
	48.5b	(/.f64 (exp.f64 (log.f64 (*.f64 b_2 -2))) a)
▶	56.4b	(/.f64 0 a)
	46.2b	(/.f64 -2 (/.f64 a b_2))
	33.3b	(-.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) a) (/.f64 b_2 a))
	49.2b	(-.f64 (.f64 (/.f64 (pow.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a))) 1/4) (sqrt.f64 a)) (/.f64 (pow.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a))) 1/4) (sqrt.f64 a))) (/.f64 b_2 a))
	46.4b	(+.f64 (/.f64 -2 (/.f64 a b_2)) (*.f64 1/2 (/.f64 c b_2)))
	46.7b	(+.f64 (-.f64 (+.f64 1 (.f64 -2 (/.f64 b_2 a))) 1) (.f64 1/2 (/.f64 c b_2)))
	51.1b	(+.f64 (.f64 -2 (/.f64 b_2 a)) (pow.f64 (.f64 (pow.f64 (/.f64 c b_2) 3) 1/8) 1/3))
	46.3b	(+.f64 (*.f64 -2 (/.f64 b_2 a)) (pow.f64 (cbrt.f64 (/.f64 1/2 (/.f64 b_2 c))) 3))
▶	46.3b	(+.f64 (*.f64 -2 (/.f64 b_2 a)) (/.f64 1/2 (/.f64 b_2 c)))
	53.1b	(+.f64 (*.f64 -2 (/.f64 b_2 a)) (exp.f64 (log.f64 (/.f64 1/2 (/.f64 b_2 c)))))
	61.4b	(+.f64 (log.f64 (pow.f64 (exp.f64 -2) (/.f64 b_2 a))) (*.f64 1/2 (/.f64 c b_2)))
	47.1b	(.f64 (/.f64 1 a) (-.f64 (hypot.f64 b_2 (.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c))) b_2))
	44.9b	(.f64 (/.f64 1 a) (-.f64 (hypot.f64 b_2 (.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 c)))) b_2))
✓	32.4b	(.f64 (/.f64 1 a) (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))) b_2))
	46.2b	(*.f64 b_2 (/.f64 -2 a))
	56.7b	(*.f64 1/2 (/.f64 c b_2))
✓	46.1b	(*.f64 -2 (/.f64 b_2 a))
▶	58.1b	(sqrt.f64 (*.f64 (pow.f64 (/.f64 b_2 a) 2) 4))
	55.1b	(exp.f64 (log.f64 (fma.f64 -2 (/.f64 b_2 a) (/.f64 1/2 (/.f64 b_2 c)))))
	54.8b	(exp.f64 (log.f64 (*.f64 -2 (/.f64 b_2 a))))

Compiler

Compiled 1243 to 822 computations (33.9% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2)
✓	0.1b	(/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2))
✓	0.2b	(pow.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2)) -1)
	12.6b	(sqrt.f64 (neg.f64 (*.f64 a c)))

Compiler

Compiled 59 to 12 computations (79.7% saved)

series81.0ms (0.6%)

Counts

2 → 24

Calls

18 calls:

Time	Variable		Point	Expression
24.0ms	c	@	0	(pow.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2)) -1)
11.0ms	a	@	inf	(pow.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2)) -1)
8.0ms	c	@	inf	(pow.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2)) -1)
7.0ms	c	@	-inf	(pow.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2)) -1)
5.0ms	a	@	-inf	(pow.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2)) -1)

rewrite58.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

669×	`prod-diff_binary64`
622×	`log-prod_binary64`
313×	`pow2_binary64`
262×	`fma-def_binary64`
217×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	37
1	263	30
2	3579	30

Stop Event

1×	node limit

Counts

2 → 87

Calls

Call 1

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

Outputs

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

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

simplify74.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

438×	`unswap-sqr_binary64`
362×	`associate-r_binary64`
288×	`associate-l_binary64`
275×	`*-commutative_binary64`
254×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	421	3458
1	1203	2868
2	5445	2818

Stop Event

1×	node limit

Counts

111 → 186

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (.f64 -1 (/.f64 b_2 a)))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -1)))) (.f64 -1 (/.f64 (.f64 c (.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (pow.f64 (sqrt.f64 -1) 2))) a))) (pow.f64 b_2 2))) (+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (.f64 -1 (/.f64 b_2 a))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -1)))) (.f64 -1 (/.f64 (.f64 c (.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (pow.f64 (sqrt.f64 -1) 2))) a))) (pow.f64 b_2 2))) (+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 -1 (.f64 (pow.f64 b_2 3) (+.f64 (.f64 (sqrt.f64 (/.f64 c (pow.f64 a 3))) (.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (sqrt.f64 -1))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -1)))) (.f64 -1 (/.f64 (.f64 c (.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (pow.f64 (sqrt.f64 -1) 2))) a))) (sqrt.f64 -1)))) (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (sqrt.f64 -1))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) a))))) (.f64 c (pow.f64 (sqrt.f64 -1) 2))) a)))))) (*.f64 -1 (/.f64 b_2 a)))))
(.f64 1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2))
(+.f64 (.f64 1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (+.f64 (.f64 -1/8 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2)))) (.f64 1/4 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2)))))))) (.f64 -1/32 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 2))))) (pow.f64 b_2 5))) (+.f64 (.f64 1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (+.f64 (.f64 -1/8 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2)))) (.f64 1/4 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2)))))))) (.f64 -1/32 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 2))))) (pow.f64 b_2 5))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 (.f64 (pow.f64 c 2) (.f64 (+.f64 (.f64 1/4 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 a (+.f64 (.f64 -1/8 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2)))) (.f64 1/4 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2))))))))) (+.f64 (.f64 -2 (/.f64 (+.f64 (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2)))) 2) (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 a 4))))) (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) a)))) (.f64 1/16 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 3)))))) (pow.f64 (sqrt.f64 -1) 4)))) (+.f64 (.f64 1/16 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -1) 6) (.f64 a (+.f64 (.f64 -1/8 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2)))) (.f64 1/4 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2))))))))) (.f64 -1/4 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 a (+.f64 (.f64 -1/4 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (+.f64 (.f64 -1/8 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2)))) (.f64 1/4 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2)))))))) (.f64 -1/32 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 2))))))))))) (pow.f64 b_2 7))) (+.f64 (.f64 1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))))))
(*.f64 -2 (/.f64 b_2 a))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 -1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (+.f64 (.f64 -1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (+.f64 (.f64 1/4 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))))))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (+.f64 (.f64 -1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (+.f64 (.f64 1/4 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (+.f64 (.f64 -4 (/.f64 (+.f64 (.f64 1/32 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 4)))) (.f64 1/128 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 4))))) (.f64 (pow.f64 a 2) (pow.f64 b_2 5)))) (+.f64 (.f64 1/4 (/.f64 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 a (+.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) a))) (.f64 1/4 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) a))))))) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 2))) (pow.f64 b_2 5)))))))))
(*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -1)))
(+.f64 (/.f64 b_2 (.f64 c (pow.f64 (sqrt.f64 -1) 2))) (.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -1))))
(+.f64 (/.f64 b_2 (.f64 c (pow.f64 (sqrt.f64 -1) 2))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (pow.f64 b_2 2))) (.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -1)))))
(+.f64 (/.f64 b_2 (.f64 c (pow.f64 (sqrt.f64 -1) 2))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (pow.f64 b_2 2))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (sqrt.f64 -1))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) a))))) (pow.f64 b_2 3))) (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -1))))))
(.f64 2 (/.f64 b_2 (.f64 c (pow.f64 (sqrt.f64 -1) 2))))
(+.f64 (.f64 1/2 (/.f64 a b_2)) (.f64 2 (/.f64 b_2 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)))))
(+.f64 (.f64 1/2 (/.f64 a b_2)) (+.f64 (.f64 2 (/.f64 b_2 (.f64 c (pow.f64 (sqrt.f64 -1) 2)))) (.f64 -1 (/.f64 (+.f64 (.f64 -1/8 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2)))) (.f64 1/4 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2))))) (pow.f64 b_2 3)))))
(+.f64 (.f64 1/2 (/.f64 a b_2)) (+.f64 (.f64 2 (/.f64 b_2 (.f64 c (pow.f64 (sqrt.f64 -1) 2)))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/8 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2)))) (.f64 1/4 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2))))) (pow.f64 b_2 3))) (.f64 -1 (/.f64 (+.f64 (.f64 1/4 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 a (+.f64 (.f64 -1/8 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2)))) (.f64 1/4 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2))))))))) (+.f64 (.f64 -2 (/.f64 (+.f64 (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2)))) 2) (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 a 4))))) (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) a)))) (.f64 1/16 (.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 3)))))) (pow.f64 b_2 5))))))
(*.f64 -1/2 (/.f64 a b_2))
(+.f64 (.f64 1/8 (/.f64 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2))) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 a b_2)))
(+.f64 (.f64 1/8 (/.f64 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2))) (pow.f64 b_2 3))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 3))) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 a b_2))))
(+.f64 (.f64 1/8 (/.f64 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2))) (pow.f64 b_2 3))) (+.f64 (.f64 1/128 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 4))) (pow.f64 b_2 7))) (+.f64 (.f64 1/32 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 4))) (pow.f64 b_2 7))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 3))) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 a b_2))))))
(+.f64 0 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) a))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2) a))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2) a)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2) a)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2) a)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) a))) 1)
(-.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) a) (/.f64 b_2 a))
(.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2) (/.f64 1 a))
(.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2) a) 1)
(.f64 1 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2) a))
(.f64 (cbrt.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2) a)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) a)) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2) a)) 2) (cbrt.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) a)))
(.f64 (sqrt.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2) a)) (sqrt.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) a)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2)) 2) 1) (/.f64 (cbrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)) a))
(.f64 (/.f64 (sqrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2)) 1) (/.f64 (sqrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)) a))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2) (cbrt.f64 a)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2)) 2) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (cbrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)) (cbrt.f64 a)))
(.f64 (/.f64 (sqrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2)) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (sqrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)) (cbrt.f64 a)))
(.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2) (sqrt.f64 a)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2)) 2) (sqrt.f64 a)) (/.f64 (cbrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)) (sqrt.f64 a)))
(.f64 (/.f64 (sqrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2)) (sqrt.f64 a)) (/.f64 (sqrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)) (sqrt.f64 a)))
(.f64 (/.f64 1 a) (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2))
(.f64 (/.f64 1 a) (pow.f64 (/.f64 1 (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2)) -1))
(.f64 (/.f64 1 (neg.f64 a)) (neg.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2))) 2)) (cbrt.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) a)))
(/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) a)
(/.f64 -1 (neg.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2))))
(/.f64 1 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)))
(/.f64 1 (/.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)) 1))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2)) 2) (/.f64 a (cbrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2))))
(/.f64 (sqrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2)) (/.f64 a (sqrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2))))
(/.f64 (neg.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)) (neg.f64 a))
(/.f64 (-.f64 (pow.f64 (fma.f64 a c (.f64 b_2 b_2)) 3/2) (pow.f64 b_2 3)) (.f64 a (fma.f64 b_2 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a c)))) (fma.f64 a c (.f64 b_2 b_2)))))
(/.f64 (-.f64 (fma.f64 a c (.f64 b_2 b_2)) (.f64 b_2 b_2)) (.f64 a (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))))))
(/.f64 (sqrt.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2) a)) (sqrt.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2))))
(/.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) (sqrt.f64 a)) (sqrt.f64 a))
(/.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) 1) a)
(/.f64 (/.f64 1 a) (/.f64 1 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)))
(/.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2))) 2)) (cbrt.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2))))
(sqrt.f64 (pow.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)) -2))
(log.f64 (exp.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) a)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) a))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) a) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) 3) (pow.f64 a 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) a)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) a)))
(exp.f64 (log.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) a)))
(exp.f64 (.f64 (log.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2) a)) 1))
(+.f64 0 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)))) 1)
(.f64 a (/.f64 1 (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2)))
(.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2)) 1)
(.f64 1 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2)))
(.f64 (pow.f64 (cbrt.f64 a) 2) (.f64 (cbrt.f64 a) (/.f64 1 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2))))
(.f64 (cbrt.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2))) (pow.f64 (cbrt.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2))) 2) (cbrt.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2))))
(.f64 (sqrt.f64 a) (.f64 (sqrt.f64 a) (/.f64 1 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2))))
(.f64 (sqrt.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2))) (sqrt.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2))))
(.f64 (neg.f64 a) (/.f64 1 (neg.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2))))
(.f64 (/.f64 1 (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2)) a)
(.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) 1) (/.f64 (cbrt.f64 a) (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2)))
(.f64 (/.f64 (sqrt.f64 a) 1) (/.f64 (sqrt.f64 a) (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2)) 2)) (/.f64 a (cbrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2)) 2)) (cbrt.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2))))
(.f64 (/.f64 (sqrt.f64 a) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2)) 2)) (/.f64 (sqrt.f64 a) (cbrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2))))
(.f64 (/.f64 1 (sqrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2))) (/.f64 a (sqrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (sqrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2))) (/.f64 (cbrt.f64 a) (sqrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2))))
(.f64 (/.f64 a (-.f64 (pow.f64 (fma.f64 a c (.f64 b_2 b_2)) 3/2) (pow.f64 b_2 3))) (fma.f64 b_2 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a c)))) (fma.f64 a c (.f64 b_2 b_2))))
(.f64 (/.f64 a (-.f64 (fma.f64 a c (.f64 b_2 b_2)) (.f64 b_2 b_2))) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a c)))))
(pow.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)) 1)
(pow.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) a) -1)
(pow.f64 (pow.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2))) 3)
(pow.f64 (sqrt.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2))) 2)
(pow.f64 (/.f64 (pow.f64 a 3) (pow.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) a) 1) -1)
(neg.f64 (/.f64 a (neg.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2))))
(sqrt.f64 (pow.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)) 2))
(log.f64 (exp.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)))))
(cbrt.f64 (pow.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)) 3))
(cbrt.f64 (/.f64 (pow.f64 a 3) (pow.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) 3)))
(expm1.f64 (log1p.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2))))
(log1p.f64 (expm1.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2))))
(exp.f64 (log.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2))))
(exp.f64 (.f64 (log.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2))) 1))

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

localize5.0ms (0%)

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

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 -2 (/.f64 b_2 a)) (/.f64 1/2 (/.f64 b_2 c)))
	0.0b	(*.f64 -2 (/.f64 b_2 a))
✓	0.7b	(/.f64 1/2 (/.f64 b_2 c))

Compiler

Compiled 35 to 16 computations (54.3% saved)

series4.0ms (0%)

Counts

2 → 60

Calls

15 calls:

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

rewrite72.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

638×	`log-prod_binary64`
332×	`pow2_binary64`
332×	`fma-def_binary64`
231×	`pow1/3_binary64`
229×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	21
1	253	21
2	3636	21

Stop Event

1×	node limit

Counts

2 → 106

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -2 (/.f64 b_2 a) (*.f64 c (/.f64 1/2 b_2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 (/.f64 b_2 a) 2) 4) (fma.f64 -2 (/.f64 b_2 a) (*.f64 -1/2 (/.f64 c b_2)))) (/.f64 (pow.f64 (*.f64 c (/.f64 1/2 b_2)) 2) (fma.f64 -2 (/.f64 b_2 a) (*.f64 -1/2 (/.f64 c b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -2 (/.f64 b_2 a) (*.f64 c (/.f64 1/2 b_2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -2 (/.f64 b_2 a) (*.f64 c (/.f64 1/2 b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -2 (/.f64 b_2 a) (*.f64 c (/.f64 1/2 b_2)))) (pow.f64 (cbrt.f64 (fma.f64 -2 (/.f64 b_2 a) (*.f64 c (/.f64 1/2 b_2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -2 (/.f64 b_2 a) (*.f64 c (/.f64 1/2 b_2)))) 2) (cbrt.f64 (fma.f64 -2 (/.f64 b_2 a) (*.f64 c (/.f64 1/2 b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -2 (/.f64 b_2 a) (*.f64 c (/.f64 1/2 b_2)))) (sqrt.f64 (fma.f64 -2 (/.f64 b_2 a) (*.f64 c (/.f64 1/2 b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 (/.f64 b_2 a) 3) -8 (pow.f64 (*.f64 c (/.f64 1/2 b_2)) 3)) (/.f64 1 (fma.f64 (*.f64 c (/.f64 1/2 b_2)) (-.f64 (*.f64 c (/.f64 1/2 b_2)) (*.f64 -2 (/.f64 b_2 a))) (*.f64 (pow.f64 (/.f64 b_2 a) 2) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (pow.f64 (/.f64 b_2 a) 2) 4) (pow.f64 (*.f64 c (/.f64 1/2 b_2)) 2)) (/.f64 1 (fma.f64 -2 (/.f64 b_2 a) (*.f64 -1/2 (/.f64 c b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 c (/.f64 1/2 b_2)) (-.f64 (*.f64 c (/.f64 1/2 b_2)) (*.f64 -2 (/.f64 b_2 a))) (*.f64 (pow.f64 (/.f64 b_2 a) 2) 4)) (fma.f64 (pow.f64 (/.f64 b_2 a) 3) -8 (pow.f64 (*.f64 c (/.f64 1/2 b_2)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 -2 (/.f64 b_2 a) (*.f64 -1/2 (/.f64 c b_2))) (-.f64 (*.f64 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -2 (/.f64 b_2 a)) (*.f64 c (/.f64 1/2 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (/.f64 b_2 a) 2)) (*.f64 (cbrt.f64 (/.f64 b_2 a)) -2) (*.f64 c (/.f64 1/2 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 c (/.f64 1/2 b_2))) (pow.f64 (cbrt.f64 (*.f64 c (/.f64 1/2 b_2))) 2) (*.f64 -2 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 c (/.f64 1/2 b_2))) 2) (cbrt.f64 (*.f64 c (/.f64 1/2 b_2))) (*.f64 -2 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 -2 (/.f64 b_2 a))) (pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 b_2 a))) 2) (*.f64 c (/.f64 1/2 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 b_2 a))) 2) (cbrt.f64 (*.f64 -2 (/.f64 b_2 a))) (*.f64 c (/.f64 1/2 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 b_2 a)) (*.f64 (sqrt.f64 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simplify66.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

448×	`associate-*l/_binary64`
419×	`distribute-rgt-in_binary64`
416×	`unswap-sqr_binary64`
381×	`distribute-lft-in_binary64`
296×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	243	2441
1	596	2392
2	2065	2367

Stop Event

1×	node limit

Counts

166 → 140

Calls

Call 1

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

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

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (pow.f64 (/.f64 b_2 a) 2) 4)
✓	0.3b	(pow.f64 (/.f64 b_2 a) 2)
✓	20.1b	(sqrt.f64 (*.f64 (pow.f64 (/.f64 b_2 a) 2) 4))

Compiler

Compiled 30 to 17 computations (43.3% saved)

series8.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	b_2	@	0	(*.f64 (pow.f64 (/.f64 b_2 a) 2) 4)
1.0ms	a	@	0	(*.f64 (pow.f64 (/.f64 b_2 a) 2) 4)
1.0ms	b_2	@	inf	(*.f64 (pow.f64 (/.f64 b_2 a) 2) 4)
1.0ms	b_2	@	-inf	(pow.f64 (/.f64 b_2 a) 2)
1.0ms	a	@	-inf	(pow.f64 (/.f64 b_2 a) 2)

rewrite51.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

820×	`pow1_binary64`
761×	`add-log-exp_binary64`
761×	`log1p-expm1-u_binary64`
761×	`expm1-log1p-u_binary64`
743×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	29
1	188	24
2	2154	24

Stop Event

1×	node limit

Counts

3 → 70

Calls

Call 1

Inputs
(sqrt.f64 (*.f64 (pow.f64 (/.f64 b_2 a) 2) 4))
(pow.f64 (/.f64 b_2 a) 2)
(*.f64 (pow.f64 (/.f64 b_2 a) 2) 4)

Outputs

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

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

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

simplify60.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

643×	`unswap-sqr_binary64`
507×	`fma-neg_binary64`
339×	`associate-/l*_binary64`
319×	`associate-/r*_binary64`
263×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	155	1178
1	389	1172
2	1439	1168
3	7512	1168

Stop Event

1×	node limit

Counts

142 → 87

Calls

Call 1

Inputs
(*.f64 2 (/.f64 b_2 a))
(*.f64 2 (/.f64 b_2 a))
(*.f64 2 (/.f64 b_2 a))
(*.f64 2 (/.f64 b_2 a))
(*.f64 2 (/.f64 b_2 a))
(*.f64 2 (/.f64 b_2 a))
(*.f64 2 (/.f64 b_2 a))
(*.f64 2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 2 (/.f64 b_2 a))
(*.f64 2 (/.f64 b_2 a))
(*.f64 2 (/.f64 b_2 a))
(*.f64 2 (/.f64 b_2 a))
(*.f64 2 (/.f64 b_2 a))
(*.f64 2 (/.f64 b_2 a))
(*.f64 2 (/.f64 b_2 a))
(*.f64 2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2)))
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2)))
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2)))
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2)))
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2)))
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2)))
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2)))
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2)))
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2)))
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2)))
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2)))
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2)))
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2)))
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2)))
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2)))
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2)))
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2)))
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2)))
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2)))
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2)))
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2)))
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2)))
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2)))
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2)))
(-.f64 (+.f64 1 (*.f64 (/.f64 b_2 a) 2)) 1)
(*.f64 (/.f64 b_2 a) 2)
(*.f64 (/.f64 b_2 a) (pow.f64 4 1/2))
(*.f64 2 (/.f64 b_2 a))
(.f64 (.f64 (/.f64 b_2 a) 2) 1)
(.f64 1 (.f64 (/.f64 b_2 a) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 b_2 a) 2)) 2) (cbrt.f64 (*.f64 (/.f64 b_2 a) 2)))
(.f64 (cbrt.f64 (.f64 (/.f64 b_2 a) 2)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 b_2 a) 2)) 2))
(.f64 (sqrt.f64 (.f64 (/.f64 b_2 a) 2)) (sqrt.f64 (*.f64 (/.f64 b_2 a) 2)))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 b_2 a) 4) 16))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 b_2 a) 2)) 2)))
(*.f64 (pow.f64 4 1/2) (/.f64 b_2 a))
(.f64 (pow.f64 1 1/2) (.f64 (/.f64 b_2 a) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 b_2 a) 4) 16)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 b_2 a) 2)) 2) 1/2))
(pow.f64 (*.f64 (pow.f64 (/.f64 b_2 a) 2) 4) 1/2)
(pow.f64 (*.f64 (/.f64 b_2 a) 2) 1)
(pow.f64 (pow.f64 (*.f64 (/.f64 b_2 a) 2) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 b_2 a) 2)) 3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 b_2 a) 2)) 2)
(fabs.f64 (*.f64 (/.f64 b_2 a) 2))
(log.f64 (exp.f64 (*.f64 (/.f64 b_2 a) 2)))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 b_2 a) 2) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 b_2 a) 2)))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 b_2 a) 2)))
(exp.f64 (log.f64 (*.f64 (/.f64 b_2 a) 2)))
(-.f64 (+.f64 1 (pow.f64 (/.f64 b_2 a) 2)) 1)
(.f64 b_2 (.f64 (pow.f64 a -1) (/.f64 b_2 a)))
(*.f64 (/.f64 b_2 a) (/.f64 b_2 a))
(*.f64 (pow.f64 (/.f64 b_2 a) 2) 1)
(*.f64 1 (pow.f64 (/.f64 b_2 a) 2))
(.f64 (.f64 b_2 b_2) (*.f64 (pow.f64 a -1) (pow.f64 a -1)))
(.f64 (.f64 b_2 b_2) (pow.f64 (pow.f64 a -1) 2))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 b_2 a) 4)) (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 2) (cbrt.f64 (pow.f64 (/.f64 b_2 a) 4)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 2) (.f64 (cbrt.f64 (/.f64 b_2 a)) (/.f64 b_2 a)))
(.f64 (sqrt.f64 (/.f64 b_2 a)) (.f64 (sqrt.f64 (/.f64 b_2 a)) (/.f64 b_2 a)))
(.f64 (.f64 (/.f64 b_2 a) (sqrt.f64 (/.f64 b_2 a))) (sqrt.f64 (/.f64 b_2 a)))
(.f64 (.f64 (/.f64 b_2 a) b_2) (pow.f64 a -1))
(.f64 (.f64 (/.f64 b_2 a) (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 2)) (cbrt.f64 (/.f64 b_2 a)))
(/.f64 b_2 (*.f64 (/.f64 a b_2) a))
(/.f64 b_2 (*.f64 a (/.f64 a b_2)))
(/.f64 (/.f64 b_2 a) (/.f64 a b_2))
(/.f64 1 (*.f64 (/.f64 a b_2) (/.f64 a b_2)))
(/.f64 (.f64 b_2 b_2) (.f64 a a))
(/.f64 (neg.f64 b_2) (*.f64 (/.f64 a b_2) (neg.f64 a)))
(/.f64 (.f64 (neg.f64 b_2) (neg.f64 b_2)) (.f64 (neg.f64 a) (neg.f64 a)))
(/.f64 (.f64 (neg.f64 b_2) b_2) (.f64 (neg.f64 a) a))
(/.f64 (.f64 (neg.f64 b_2) 1) (.f64 (neg.f64 a) (/.f64 a b_2)))
(/.f64 (.f64 b_2 (neg.f64 b_2)) (.f64 a (neg.f64 a)))
(/.f64 (*.f64 b_2 (/.f64 b_2 a)) a)
(/.f64 (*.f64 (neg.f64 b_2) (/.f64 b_2 a)) (neg.f64 a))
(/.f64 (*.f64 (/.f64 b_2 a) b_2) a)
(/.f64 (*.f64 (/.f64 b_2 a) (neg.f64 b_2)) (neg.f64 a))
(sqrt.f64 (pow.f64 (/.f64 b_2 a) 4))
(log.f64 (exp.f64 (pow.f64 (/.f64 b_2 a) 2)))
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 b_2 a) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 b_2 a) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 b_2 a) 2)))
(exp.f64 (*.f64 2 (log.f64 (/.f64 b_2 a))))
(-.f64 (+.f64 1 (*.f64 (pow.f64 (/.f64 b_2 a) 2) 4)) 1)
(pow.f64 (*.f64 (pow.f64 (/.f64 b_2 a) 2) 4) 1)
(pow.f64 (*.f64 (/.f64 b_2 a) 2) 2)
(pow.f64 (*.f64 (pow.f64 (/.f64 b_2 a) 4) 16) 1/2)
(pow.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 b_2 a) 2) 4) 3) 1/3)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 b_2 a) 2)) 2) 3)
(sqrt.f64 (*.f64 (pow.f64 (/.f64 b_2 a) 4) 16))
(log.f64 (pow.f64 (exp.f64 4) (pow.f64 (/.f64 b_2 a) 2)))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 b_2 a) 2) 4) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (/.f64 b_2 a) 2) 4)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (/.f64 b_2 a) 2) 4)))
(exp.f64 (log.f64 (*.f64 (pow.f64 (/.f64 b_2 a) 2) 4)))

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

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.4b	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	6.5b	(/.f64 (-.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (.f64 b_2 b_2)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))
✓	12.6b	(sqrt.f64 (*.f64 a (neg.f64 c)))
✓	19.0b	(-.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (*.f64 b_2 b_2))

Compiler

Compiled 101 to 14 computations (86.1% saved)

series47.0ms (0.4%)

Counts

3 → 50

Calls

24 calls:

Time	Variable		Point	Expression
19.0ms	c	@	inf	(/.f64 (-.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (.f64 b_2 b_2)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))
8.0ms	c	@	-inf	(/.f64 (-.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (.f64 b_2 b_2)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))
6.0ms	a	@	inf	(/.f64 (-.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (.f64 b_2 b_2)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))
3.0ms	a	@	-inf	(/.f64 (-.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (.f64 b_2 b_2)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))
1.0ms	b_2	@	-inf	(/.f64 (-.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (.f64 b_2 b_2)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))

rewrite86.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

764×	`log-prod_binary64`
579×	`fma-neg_binary64`
256×	`expm1-udef_binary64`
256×	`log1p-udef_binary64`
212×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	56
1	342	32
2	5364	32

Stop Event

1×	node limit

Counts

3 → 231

Calls

Call 1

Inputs

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

(sqrt.f64 (*.f64 a (neg.f64 c)))

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 b_2 b_2) (neg.f64 (fma.f64 b_2 b_2 (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 b_2 b_2) (fma.f64 a c (*.f64 b_2 (neg.f64 b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 b_2 b_2) (*.f64 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 b_2 b_2) (*.f64 -1 (fma.f64 b_2 b_2 (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 b_2 b_2) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) 2)) (cbrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 b_2 b_2) (+.f64 (*.f64 a c) (*.f64 b_2 (neg.f64 b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (*.f64 b_2 (neg.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (*.f64 (*.f64 b_2 (neg.f64 b_2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (-.f64 (fma.f64 c a (*.f64 a c)) (*.f64 b_2 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (+.f64 (fma.f64 c a (*.f64 a c)) (*.f64 b_2 (neg.f64 b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 b_2 b_2) (fma.f64 b_2 b_2 (*.f64 a c))) (fma.f64 (neg.f64 b_2) b_2 (*.f64 b_2 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 b_2 b_2) (fma.f64 b_2 b_2 (*.f64 a c))) (fma.f64 (*.f64 b_2 (neg.f64 b_2)) 1 (*.f64 b_2 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 b_2 b_2) (fma.f64 b_2 b_2 (*.f64 a c))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b_2) 2)) (cbrt.f64 (pow.f64 b_2 4)) (*.f64 b_2 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 b_2 b_2) (fma.f64 b_2 b_2 (*.f64 a c))) (fma.f64 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) (fma.f64 b_2 b_2 (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 b_2 b_2) (fma.f64 b_2 b_2 (*.f64 a c))) (fma.f64 (neg.f64 (fma.f64 b_2 b_2 (*.f64 a c))) 1 (fma.f64 b_2 b_2 (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 b_2 b_2) (fma.f64 b_2 b_2 (*.f64 a c))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) (pow.f64 (cbrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) 2) (fma.f64 b_2 b_2 (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (*.f64 b_2 b_2) (fma.f64 b_2 b_2 (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 b_2 (neg.f64 b_2)) (fma.f64 b_2 b_2 (*.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)) (*.f64 a c))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (*.f64 b_2 b_2) (fma.f64 b_2 b_2 (*.f64 a c))))) (cbrt.f64 (exp.f64 (-.f64 (*.f64 b_2 b_2) (fma.f64 b_2 b_2 (*.f64 a c))))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (*.f64 b_2 b_2) (fma.f64 b_2 b_2 (*.f64 a c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (*.f64 b_2 b_2) (fma.f64 b_2 b_2 (*.f64 a c)))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (*.f64 b_2 b_2) (fma.f64 b_2 b_2 (*.f64 a c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 b_2 b_2) (fma.f64 b_2 b_2 (*.f64 a c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (*.f64 b_2 b_2) (fma.f64 b_2 b_2 (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (fma.f64 b_2 b_2 (*.f64 a c)))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (fma.f64 b_2 b_2 (*.f64 a c)))) 2))))) 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simplify144.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

777×	`fma-neg_binary64`
321×	`associate-r_binary64`
299×	`fma-def_binary64`
267×	`log-prod_binary64`
264×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	638	6649
1	1603	5333
2	6201	5298

Stop Event

1×	node limit

Counts

281 → 398

Calls

Call 1

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

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

eval542.0ms (4.1%)

Compiler: Compiled 38527 to 13401 computations (65.2% saved)

prune459.0ms (3.5%)

Pruning

46 alts after pruning (41 fresh and 5 done)

	Pruned	Kept	Total
New	1305	15	1320
Fresh	8	26	34
Picked	1	0	1
Done	2	5	7
Total	1316	46	1362

Error

0.2b

Counts

1362 → 46

Alt Table

Click to see full alt table

Status	Error	Program
	35.3b	(fma.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/4) (/.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/4) a) (/.f64 (neg.f64 b_2) a))
	36.0b	(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))) a)) 2) (cbrt.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))) a)) (neg.f64 (/.f64 b_2 a)))
	40.4b	(pow.f64 (fma.f64 1/2 (/.f64 a b_2) (*.f64 -2 (/.f64 b_2 c))) -1)
	47.0b	(pow.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (*.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c))) b_2)) -1)
	45.0b	(pow.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (*.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 c)))) b_2)) -1)
✓	32.4b	(pow.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2)) -1)
	46.2b	(pow.f64 (/.f64 -1/2 (/.f64 b_2 a)) -1)
	40.8b	(pow.f64 (*.f64 -2 (/.f64 b_2 c)) -1)
	45.4b	(pow.f64 (sqrt.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2) a)) 2)
	46.4b	(pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 b_2 a))) 3)
	57.7b	(/.f64 (fma.f64 (/.f64 (.f64 b_2 b_2) c) -2 (.f64 1/2 a)) (*.f64 (/.f64 a c) b_2))
▶	45.9b	(/.f64 (/.f64 (.f64 (.f64 -1/2 c) a) b_2) a)
	37.0b	(/.f64 (/.f64 (.f64 c (neg.f64 a)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))) a)
	44.5b	(/.f64 (/.f64 (*.f64 c -1/2) (/.f64 b_2 a)) a)
▶	46.5b	(/.f64 (/.f64 (*.f64 -2 b_2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
	46.0b	(/.f64 (/.f64 -1/2 (/.f64 b_2 (*.f64 c a))) a)
	43.6b	(/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 c (neg.f64 a)) 1/4) 2) b_2) a)
	56.5b	(/.f64 (-.f64 (+.f64 b_2 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))) b_2) a)
✓	34.8b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
	34.8b	(/.f64 (-.f64 (sqrt.f64 (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 2 (fma.f64 a (neg.f64 c) (.f64 c a))))) b_2) a)
	43.6b	(/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)
	43.3b	(/.f64 (-.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3/2)) b_2) a)
	46.4b	(/.f64 (+.f64 (.f64 -2 b_2) (.f64 (/.f64 c (/.f64 b_2 a)) 1/2)) a)
	40.3b	(/.f64 (*.f64 c -1/2) b_2)
	62.1b	(/.f64 (*.f64 b_2 2) a)
▶	59.3b	(/.f64 (neg.f64 b_2) a)
▶	48.5b	(/.f64 (exp.f64 (log.f64 (*.f64 b_2 -2))) a)
	62.1b	(/.f64 2 (/.f64 a b_2))
✓	56.4b	(/.f64 0 a)
	46.2b	(/.f64 -2 (/.f64 a b_2))
▶	33.3b	(-.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) a) (/.f64 b_2 a))
	61.1b	(-.f64 (+.f64 1 (*.f64 (/.f64 b_2 a) 2)) 1)
	46.4b	(+.f64 (/.f64 -2 (/.f64 a b_2)) (/.f64 1/2 (/.f64 b_2 c)))
	46.7b	(+.f64 (-.f64 (+.f64 1 (*.f64 -2 (/.f64 b_2 a))) 1) (/.f64 1/2 (/.f64 b_2 c)))
	51.1b	(+.f64 (.f64 -2 (/.f64 b_2 a)) (pow.f64 (pow.f64 (.f64 c (/.f64 1/2 b_2)) 3) 1/3))
	46.3b	(+.f64 (*.f64 -2 (/.f64 b_2 a)) (pow.f64 (cbrt.f64 (/.f64 1/2 (/.f64 b_2 c))) 3))
	53.1b	(+.f64 (*.f64 -2 (/.f64 b_2 a)) (exp.f64 (log.f64 (/.f64 1/2 (/.f64 b_2 c)))))
	61.4b	(+.f64 (log.f64 (pow.f64 (exp.f64 -2) (/.f64 b_2 a))) (/.f64 1/2 (/.f64 b_2 c)))
	47.1b	(.f64 (/.f64 1 a) (-.f64 (hypot.f64 b_2 (.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c))) b_2))
	44.9b	(.f64 (/.f64 1 a) (-.f64 (hypot.f64 b_2 (.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 c)))) b_2))
✓	32.4b	(.f64 (/.f64 1 a) (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))) b_2))
	46.2b	(*.f64 (/.f64 -2 a) b_2)
	56.7b	(*.f64 1/2 (/.f64 c b_2))
✓	46.1b	(*.f64 -2 (/.f64 b_2 a))
	55.1b	(exp.f64 (log.f64 (fma.f64 -2 (/.f64 b_2 a) (/.f64 1/2 (/.f64 b_2 c)))))
	54.8b	(exp.f64 (log.f64 (*.f64 -2 (/.f64 b_2 a))))

Compiler

Compiled 1251 to 862 computations (31.1% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))
✓	0.1b	(/.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) a)
✓	1.5b	(-.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) a) (/.f64 b_2 a))
	12.6b	(sqrt.f64 (neg.f64 (*.f64 a c)))

Compiler

Compiled 50 to 10 computations (80% saved)

series17.0ms (0.1%)

Counts

2 → 26

Calls

18 calls:

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

rewrite71.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

670×	`log-prod_binary64`
439×	`fma-def_binary64`
318×	`pow2_binary64`
261×	`pow-unpow_binary64`
242×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	31
1	252	27
2	3888	27

Stop Event

1×	node limit

Counts

2 → 200

Calls

Call 1

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

Outputs

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

simplify106.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

635×	`fma-neg_binary64`
381×	`div-sub_binary64`
255×	`fma-def_binary64`
180×	`associate-r_binary64`
175×	`sqr-pow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	493	5369
1	1322	4946
2	4751	4938

Stop Event

1×	node limit

Counts

226 → 317

Calls

Call 1

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

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

localize4.0ms (0%)

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

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	6.2b	(/.f64 (/.f64 (.f64 (.f64 -1/2 c) a) b_2) a)
✓	7.8b	(/.f64 (.f64 (.f64 -1/2 c) a) b_2)

Compiler

Compiled 31 to 18 computations (41.9% saved)

series26.0ms (0.2%)

Counts

2 → 72

Calls

18 calls:

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

rewrite57.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

597×	`log-prod_binary64`
451×	`exp-prod_binary64`
367×	`pow-prod-down_binary64`
266×	`pow2_binary64`
208×	`pow-unpow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	196	23
2	2837	20

Stop Event

1×	node limit

Counts

2 → 119

Calls

Call 1

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

Outputs

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

simplify90.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

825×	`fma-def_binary64`
550×	`unswap-sqr_binary64`
443×	`distribute-rgt-in_binary64`
293×	`log-prod_binary64`
223×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	299	2036
1	801	1989
2	3105	1986

Stop Event

1×	node limit

Counts

191 → 169

Calls

Call 1

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

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

localize46.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	2.5b	(exp.f64 (log.f64 (*.f64 b_2 -2)))

Compiler

Compiled 25 to 18 computations (28% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	b_2	@	0	(exp.f64 (log.f64 (*.f64 b_2 -2)))
0.0ms	b_2	@	inf	(exp.f64 (log.f64 (*.f64 b_2 -2)))
0.0ms	b_2	@	-inf	(exp.f64 (log.f64 (*.f64 b_2 -2)))

rewrite36.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

431×	`pow1_binary64`
419×	`add-sqr-sqrt_binary64`
410×	`*-un-lft-identity_binary64`
400×	`add-log-exp_binary64`
400×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	4
1	105	4
2	1084	4

Stop Event

1×	node limit

Counts

1 → 28

Calls

Call 1

Inputs
(exp.f64 (log.f64 (*.f64 b_2 -2)))

Outputs

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

simplify41.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

911×	`log-prod_binary64`
474×	`fma-neg_binary64`
423×	`associate-l_binary64`
381×	`associate-r_binary64`
375×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	70	229
1	150	222
2	446	210
3	3090	210
4	5950	210

Stop Event

1×	node limit

Counts

40 → 38

Calls

Call 1

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

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

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (*.f64 -2 b_2) (pow.f64 (cbrt.f64 a) 2))
✓	0.3b	(/.f64 (/.f64 (*.f64 -2 b_2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
✓	0.5b	(pow.f64 (cbrt.f64 a) 2)
✓	0.6b	(cbrt.f64 a)

Compiler

Compiled 35 to 21 computations (40% saved)

series22.0ms (0.2%)

Counts

4 → 36

Calls

18 calls:

Time	Variable		Point	Expression
10.0ms	a	@	inf	(/.f64 (*.f64 -2 b_2) (pow.f64 (cbrt.f64 a) 2))
3.0ms	b_2	@	0	(/.f64 (*.f64 -2 b_2) (pow.f64 (cbrt.f64 a) 2))
2.0ms	a	@	-inf	(/.f64 (/.f64 (*.f64 -2 b_2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
1.0ms	a	@	-inf	(/.f64 (*.f64 -2 b_2) (pow.f64 (cbrt.f64 a) 2))
1.0ms	a	@	-inf	(pow.f64 (cbrt.f64 a) 2)

rewrite66.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

533×	`log-prod_binary64`
408×	`exp-prod_binary64`
292×	`pow-prod-down_binary64`
257×	`pow2_binary64`
181×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	216	28
2	2835	28

Stop Event

1×	node limit

Counts

4 → 180

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 a))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 a)))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2) (cbrt.f64 (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 a)) (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 a 1/6) (pow.f64 a 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 a)) 4)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 a 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 a) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 a a) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 a 3) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 a) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 a 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/3) (log.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 a))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 a)))) (sqrt.f64 (log.f64 (cbrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 a) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2/3 (log.f64 a)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (cbrt.f64 a))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 a 1/6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 a) 1) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 a) 1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 a)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (.f64 2/3 (log.f64 a)) 1) 1/2))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (cbrt.f64 a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 a) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 a) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 a) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 a) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 a) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (cbrt.f64 a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 a)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 a)) 4) (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 a) (pow.f64 a 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 a 1/6) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 a)) 5) (cbrt.f64 (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 a (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 2/3 (log.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2/3 (log.f64 a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 a) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2 (log.f64 a)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 1/3 (.f64 2/3 (log.f64 a))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 a) 1) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 a) 1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 a)) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (.f64 2/3 (log.f64 a)) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 -2 (/.f64 a b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 -2 (/.f64 a b_2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -2 (/.f64 a b_2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -2 (/.f64 a b_2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -2 (/.f64 a b_2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 -2 (/.f64 a b_2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 -2 b_2) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 -2 (/.f64 b_2 (pow.f64 (cbrt.f64 a) 2))) (cbrt.f64 (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -2 (/.f64 a b_2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 -2 (/.f64 a b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 -2 b_2)) (cbrt.f64 a)) 4)) (.f64 (cbrt.f64 (.f64 -2 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 -2 (/.f64 b_2 (pow.f64 (cbrt.f64 a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 -2) b_2) (pow.f64 (cbrt.f64 a) -2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 -2) b_2) (pow.f64 (cbrt.f64 a) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 -2) b_2) (pow.f64 (cbrt.f64 a) -2)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 -2) b_2) (pow.f64 (cbrt.f64 a) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 -2 (/.f64 b_2 (pow.f64 (cbrt.f64 a) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -2 (/.f64 b_2 (pow.f64 (cbrt.f64 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -2 (/.f64 1 (/.f64 (pow.f64 (cbrt.f64 a) 2) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -2 (.f64 b_2 (pow.f64 (cbrt.f64 a) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 b_2 (.f64 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(sqrt.f64 (.f64 -2 b_2)) (cbrt.f64 a)) (/.f64 (sqrt.f64 (.f64 -2 b_2)) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 b_2) (/.f64 1 (neg.f64 (pow.f64 (cbrt.f64 a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 a) -2) (.f64 -2 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 1 a)) (/.f64 (.f64 -2 b_2) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -2 (cbrt.f64 a)) (/.f64 b_2 (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 b_2 (cbrt.f64 a)) (/.f64 -2 (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 -2 b_2)) 2) (cbrt.f64 a)) (cbrt.f64 (/.f64 -2 (/.f64 a b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 b_2 1) (/.f64 -2 (pow.f64 (cbrt.f64 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -2 (pow.f64 (cbrt.f64 a) 2)) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 -2 b_2)) 2) 1) (/.f64 (cbrt.f64 (.f64 -2 b_2)) (pow.f64 (cbrt.f64 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 -2 b_2)) 1) (/.f64 (sqrt.f64 (.f64 -2 b_2)) (pow.f64 (cbrt.f64 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -2 (pow.f64 (cbrt.f64 (cbrt.f64 a)) 4)) (/.f64 b_2 (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 b_2 (pow.f64 (cbrt.f64 (cbrt.f64 a)) 4)) (/.f64 -2 (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2) -2) (/.f64 (.f64 -2 b_2) (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 -2 b_2)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 a)) 4)) (cbrt.f64 (.f64 -2 (/.f64 b_2 (pow.f64 (cbrt.f64 a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 -2 b_2)) (pow.f64 (cbrt.f64 (cbrt.f64 a)) 4)) (/.f64 (sqrt.f64 (.f64 -2 b_2)) (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 -2 (/.f64 b_2 (pow.f64 (cbrt.f64 a) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 -2 b_2)) (cbrt.f64 a)) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 -2 b_2)) (cbrt.f64 a)) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 -2 (/.f64 b_2 (pow.f64 (cbrt.f64 a) 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (.f64 -2 b_2)) (cbrt.f64 a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 -1/2 (/.f64 (pow.f64 (cbrt.f64 a) 2) b_2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (-.f64 (log.f64 (.f64 -2 b_2)) (.f64 2/3 (log.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (.f64 -2 b_2) 3) (.f64 a a)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (.f64 -1/2 (/.f64 (pow.f64 (cbrt.f64 a) 2) b_2)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 (.f64 -2 b_2)) (.f64 2/3 (log.f64 a)))) 2)) (cbrt.f64 (-.f64 (log.f64 (.f64 -2 b_2)) (.f64 2/3 (log.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log.f64 (.f64 -2 b_2)) (.f64 2/3 (log.f64 a))))) (sqrt.f64 (-.f64 (log.f64 (.f64 -2 b_2)) (.f64 2/3 (log.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (.f64 -2 b_2) (neg.f64 (pow.f64 (cbrt.f64 a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 -2 b_2)) (cbrt.f64 a)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 -2) b_2) (pow.f64 (cbrt.f64 a) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 -2 (/.f64 b_2 (pow.f64 (cbrt.f64 a) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 -2 b_2)) (cbrt.f64 a)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (.f64 -2 b_2) 3) (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 -2 (/.f64 b_2 (pow.f64 (cbrt.f64 a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 -2 (/.f64 b_2 (pow.f64 (cbrt.f64 a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (.f64 -2 b_2)) (.f64 2/3 (log.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (-.f64 (log.f64 (.f64 -2 b_2)) (.f64 2/3 (log.f64 a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 -2 b_2)) (cbrt.f64 a)) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 -2 (/.f64 b_2 (pow.f64 (cbrt.f64 a) 2))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 (.f64 -2 b_2)) (cbrt.f64 a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (-.f64 (.f64 2/3 (log.f64 a)) (log.f64 (.f64 -2 b_2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (-.f64 (log.f64 (.f64 -2 b_2)) (.f64 2/3 (log.f64 a))) 1) 1))))))

simplify72.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

789×	`fma-def_binary64`
564×	`unswap-sqr_binary64`
276×	`times-frac_binary64`
258×	`sqr-pow_binary64`
198×	`exp-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	414	4294969789
1	967	2436
2	3717	2241

Stop Event

1×	node limit

Counts

216 → 256

Calls

Call 1

Inputs
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(.f64 -2 (.f64 (pow.f64 (/.f64 1 (pow.f64 a 2)) 1/3) b_2))
(.f64 -2 (.f64 (pow.f64 (/.f64 1 (pow.f64 a 2)) 1/3) b_2))
(.f64 -2 (.f64 (pow.f64 (/.f64 1 (pow.f64 a 2)) 1/3) b_2))
(.f64 -2 (.f64 (pow.f64 (/.f64 1 (pow.f64 a 2)) 1/3) b_2))
(.f64 -2 (.f64 (pow.f64 (/.f64 1 (pow.f64 a 2)) 1/3) b_2))
(.f64 -2 (.f64 (pow.f64 (/.f64 1 (pow.f64 a 2)) 1/3) b_2))
(.f64 -2 (.f64 (pow.f64 (/.f64 1 (pow.f64 a 2)) 1/3) b_2))
(.f64 -2 (.f64 (pow.f64 (/.f64 1 (pow.f64 a 2)) 1/3) b_2))
(.f64 -2 (.f64 (pow.f64 (/.f64 1 (pow.f64 a 2)) 1/3) b_2))
(.f64 -2 (.f64 (pow.f64 (/.f64 1 (pow.f64 a 2)) 1/3) b_2))
(.f64 -2 (.f64 (pow.f64 (/.f64 1 (pow.f64 a 2)) 1/3) b_2))
(.f64 -2 (.f64 (pow.f64 (/.f64 1 (pow.f64 a 2)) 1/3) b_2))
(+.f64 0 (cbrt.f64 a))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 a))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 a)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 a)))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 a)))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 a))) 1)
(*.f64 (cbrt.f64 a) 1)
(*.f64 1 (cbrt.f64 a))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2) (cbrt.f64 (cbrt.f64 a)))
(*.f64 (cbrt.f64 (cbrt.f64 a)) (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2))
(*.f64 (pow.f64 a 1/6) (pow.f64 a 1/6))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 a)) 4)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2)))
(pow.f64 a 1/3)
(pow.f64 (cbrt.f64 a) 1)
(pow.f64 (pow.f64 (cbrt.f64 a) 2) 1/2)
(pow.f64 (*.f64 a a) 1/6)
(pow.f64 (pow.f64 a 3) 1/9)
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2) 3/2)
(pow.f64 (cbrt.f64 (cbrt.f64 a)) 3)
(pow.f64 (sqrt.f64 a) 2/3)
(pow.f64 (pow.f64 a 1/6) 2)
(pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 a)))
(pow.f64 (exp.f64 1/3) (log.f64 a))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 a))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 a))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 a)))) (sqrt.f64 (log.f64 (cbrt.f64 a))))
(sqrt.f64 (pow.f64 (cbrt.f64 a) 2))
(fabs.f64 (cbrt.f64 a))
(log.f64 (exp.f64 (cbrt.f64 a)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 a))))
(expm1.f64 (log1p.f64 (cbrt.f64 a)))
(log1p.f64 (expm1.f64 (cbrt.f64 a)))
(exp.f64 (log.f64 (cbrt.f64 a)))
(exp.f64 (*.f64 (log.f64 a) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 a)) 1))
(exp.f64 (.f64 (.f64 2/3 (log.f64 a)) 1/2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 a))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 a 1/6)) 2))
(exp.f64 (.f64 (.f64 (log.f64 a) 1) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 a) 1/3) 1))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 a)) 1) 1))
(exp.f64 (.f64 (.f64 (*.f64 2/3 (log.f64 a)) 1) 1/2))
(+.f64 0 (pow.f64 (cbrt.f64 a) 2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 a) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 a) 2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 a) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 a) 2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 a) 2))) 1)
(*.f64 (cbrt.f64 a) (cbrt.f64 a))
(*.f64 (pow.f64 (cbrt.f64 a) 2) 1)
(*.f64 1 (pow.f64 (cbrt.f64 a) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 a)) 4))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 a)) 4) (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2))
(*.f64 (sqrt.f64 a) (pow.f64 a 1/6))
(*.f64 (pow.f64 a 1/6) (sqrt.f64 a))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 a)) 5) (cbrt.f64 (cbrt.f64 a)))
(sqrt.f64 (*.f64 a (cbrt.f64 a)))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 a) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 a) 2))))
(cbrt.f64 (*.f64 a a))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 a) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 a) 2)))
(exp.f64 (*.f64 2/3 (log.f64 a)))
(exp.f64 (.f64 (.f64 2/3 (log.f64 a)) 1))
(exp.f64 (*.f64 (log.f64 a) 2/3))
(exp.f64 (.f64 (.f64 2 (log.f64 a)) 1/3))
(exp.f64 (.f64 (.f64 1/3 (*.f64 2/3 (log.f64 a))) 3))
(exp.f64 (.f64 (.f64 (log.f64 a) 1) 2/3))
(exp.f64 (.f64 (.f64 (log.f64 a) 1/3) 2))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 a)) 1) 2))
(exp.f64 (.f64 (.f64 (*.f64 2/3 (log.f64 a)) 1) 1))
(+.f64 0 (/.f64 -2 (/.f64 a b_2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 -2 (/.f64 a b_2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -2 (/.f64 a b_2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -2 (/.f64 a b_2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -2 (/.f64 a b_2))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 -2 (/.f64 a b_2)))) 1)
(.f64 (.f64 -2 b_2) (/.f64 1 a))
(.f64 (.f64 -2 (/.f64 b_2 (pow.f64 (cbrt.f64 a) 2))) (cbrt.f64 (/.f64 1 a)))
(*.f64 (/.f64 -2 (/.f64 a b_2)) 1)
(*.f64 1 (/.f64 -2 (/.f64 a b_2)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 -2 b_2)) (cbrt.f64 a)) 4)) (.f64 (cbrt.f64 (.f64 -2 (/.f64 b_2 (pow.f64 (cbrt.f64 a) 2)))) (cbrt.f64 (/.f64 1 a))))
(*.f64 (cbrt.f64 (/.f64 -2 (/.f64 a b_2))) (pow.f64 (cbrt.f64 (/.f64 -2 (/.f64 a b_2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 -2 (/.f64 a b_2))) 2) (cbrt.f64 (/.f64 -2 (/.f64 a b_2))))
(.f64 (/.f64 (sqrt.f64 (.f64 -2 b_2)) (cbrt.f64 a)) (/.f64 (sqrt.f64 (*.f64 -2 b_2)) (pow.f64 (cbrt.f64 a) 2)))
(.f64 (/.f64 (sqrt.f64 (.f64 -2 b_2)) (cbrt.f64 a)) (.f64 (/.f64 (sqrt.f64 (.f64 -2 b_2)) (cbrt.f64 a)) (cbrt.f64 (/.f64 1 a))))
(*.f64 (sqrt.f64 (/.f64 -2 (/.f64 a b_2))) (sqrt.f64 (/.f64 -2 (/.f64 a b_2))))
(.f64 (.f64 (*.f64 2 b_2) (pow.f64 (cbrt.f64 a) -2)) (/.f64 1 (neg.f64 (cbrt.f64 a))))
(.f64 (cbrt.f64 (/.f64 1 a)) (.f64 -2 (/.f64 b_2 (pow.f64 (cbrt.f64 a) 2))))
(*.f64 (/.f64 -2 (cbrt.f64 a)) (/.f64 b_2 (pow.f64 (cbrt.f64 a) 2)))
(*.f64 (/.f64 b_2 (cbrt.f64 a)) (/.f64 -2 (pow.f64 (cbrt.f64 a) 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 -2 b_2)) 2) (cbrt.f64 a)) (/.f64 (cbrt.f64 (*.f64 -2 b_2)) (pow.f64 (cbrt.f64 a) 2)))
(.f64 (/.f64 (.f64 -2 b_2) (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2)) (/.f64 (pow.f64 (cbrt.f64 a) -2) (cbrt.f64 (cbrt.f64 a))))
(.f64 (/.f64 (.f64 -2 b_2) 1) (/.f64 1 a))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 -2 b_2)) (cbrt.f64 a)) 4)) 1) (/.f64 (cbrt.f64 (*.f64 -2 (/.f64 b_2 (pow.f64 (cbrt.f64 a) 2)))) (cbrt.f64 a)))
(.f64 (/.f64 (/.f64 (sqrt.f64 (.f64 -2 b_2)) (cbrt.f64 a)) 1) (/.f64 (/.f64 (sqrt.f64 (*.f64 -2 b_2)) (cbrt.f64 a)) (cbrt.f64 a)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 a)) -2) (/.f64 (.f64 -2 (/.f64 b_2 (pow.f64 (cbrt.f64 a) 2))) (cbrt.f64 (cbrt.f64 a))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 -2 b_2)) (cbrt.f64 a)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2)) (cbrt.f64 (/.f64 -2 (/.f64 a b_2))))
(.f64 (/.f64 (/.f64 (sqrt.f64 (.f64 -2 b_2)) (cbrt.f64 a)) (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2)) (/.f64 (/.f64 (sqrt.f64 (*.f64 -2 b_2)) (cbrt.f64 a)) (cbrt.f64 (cbrt.f64 a))))
(.f64 (/.f64 (.f64 -2 b_2) (pow.f64 a 1/6)) (pow.f64 (cbrt.f64 a) -5/2))
(.f64 (pow.f64 a -1/6) (/.f64 (.f64 -2 (/.f64 b_2 (pow.f64 (cbrt.f64 a) 2))) (pow.f64 a 1/6)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 -2 b_2)) (cbrt.f64 a)) 4)) (pow.f64 a 1/6)) (/.f64 (cbrt.f64 (*.f64 -2 (/.f64 b_2 (pow.f64 (cbrt.f64 a) 2)))) (pow.f64 a 1/6)))
(pow.f64 (/.f64 -2 (/.f64 a b_2)) 1)
(pow.f64 (pow.f64 (/.f64 -2 (/.f64 a b_2)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 -2 (/.f64 a b_2)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 -2 (/.f64 a b_2))) 3)
(pow.f64 (sqrt.f64 (/.f64 -2 (/.f64 a b_2))) 2)
(pow.f64 (.f64 (/.f64 1 (.f64 -2 b_2)) a) -1)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 -2 (/.f64 a b_2))))
(pow.f64 (/.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 -2 b_2)) (cbrt.f64 a)) 6) a) 1/3)
(pow.f64 (.f64 (.f64 -1/2 (/.f64 (pow.f64 (cbrt.f64 a) 2) b_2)) (cbrt.f64 a)) -1)
(pow.f64 (/.f64 a (*.f64 -2 b_2)) -1)
(pow.f64 (/.f64 (.f64 (/.f64 1 (.f64 -2 b_2)) a) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -2 (/.f64 a b_2)))) 2)) (cbrt.f64 (log.f64 (/.f64 -2 (/.f64 a b_2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 -2 (/.f64 a b_2))))) (sqrt.f64 (log.f64 (/.f64 -2 (/.f64 a b_2)))))
(neg.f64 (/.f64 (*.f64 -2 (/.f64 b_2 (pow.f64 (cbrt.f64 a) 2))) (neg.f64 (cbrt.f64 a))))
(sqrt.f64 (pow.f64 (/.f64 -2 (/.f64 a b_2)) 2))
(log.f64 (exp.f64 (/.f64 -2 (/.f64 a b_2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -2 (/.f64 a b_2)))))
(cbrt.f64 (pow.f64 (/.f64 -2 (/.f64 a b_2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 -2 b_2)) (cbrt.f64 a)) 6) a))
(expm1.f64 (log1p.f64 (/.f64 -2 (/.f64 a b_2))))
(log1p.f64 (expm1.f64 (/.f64 -2 (/.f64 a b_2))))
(exp.f64 (log.f64 (/.f64 -2 (/.f64 a b_2))))
(exp.f64 (*.f64 (log.f64 (/.f64 -2 (/.f64 a b_2))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 -2 (/.f64 a b_2)))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 -2 (/.f64 a b_2)))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 -2 (/.f64 a b_2)))) 2))
(exp.f64 (*.f64 (neg.f64 (log.f64 (/.f64 -2 (/.f64 a b_2)))) -1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 -2 (/.f64 a b_2))) 1) 1))
(+.f64 0 (*.f64 -2 (/.f64 b_2 (pow.f64 (cbrt.f64 a) 2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 -2) b_2) (pow.f64 (cbrt.f64 a) -2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 -2) b_2) (pow.f64 (cbrt.f64 a) -2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 -2) b_2) (pow.f64 (cbrt.f64 a) -2)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 -2) b_2) (pow.f64 (cbrt.f64 a) -2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -2 (/.f64 b_2 (pow.f64 (cbrt.f64 a) 2))))) 1)
(*.f64 -2 (/.f64 b_2 (pow.f64 (cbrt.f64 a) 2)))
(*.f64 -2 (/.f64 1 (/.f64 (pow.f64 (cbrt.f64 a) 2) b_2)))
(.f64 -2 (.f64 b_2 (pow.f64 (cbrt.f64 a) -2)))
(.f64 b_2 (.f64 -2 (pow.f64 (cbrt.f64 a) -2)))
(.f64 (.f64 -2 b_2) (pow.f64 (cbrt.f64 a) -2))
(.f64 (.f64 -2 (/.f64 b_2 (pow.f64 (cbrt.f64 a) 2))) 1)
(.f64 1 (.f64 -2 (/.f64 b_2 (pow.f64 (cbrt.f64 a) 2))))
(.f64 (pow.f64 (cbrt.f64 (.f64 -2 b_2)) 2) (.f64 (cbrt.f64 (.f64 -2 b_2)) (pow.f64 (cbrt.f64 a) -2)))
(.f64 (cbrt.f64 (.f64 -2 (/.f64 b_2 (pow.f64 (cbrt.f64 a) 2)))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 -2 b_2)) (cbrt.f64 a)) 4)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 -2 b_2)) (cbrt.f64 a)) 4)) (cbrt.f64 (*.f64 -2 (/.f64 b_2 (pow.f64 (cbrt.f64 a) 2)))))
(.f64 (sqrt.f64 (.f64 -2 b_2)) (.f64 (sqrt.f64 (.f64 -2 b_2)) (pow.f64 (cbrt.f64 a) -2)))
(.f64 (/.f64 (sqrt.f64 (.f64 -2 b_2)) (cbrt.f64 a)) (/.f64 (sqrt.f64 (*.f64 -2 b_2)) (cbrt.f64 a)))
(.f64 (.f64 2 b_2) (/.f64 1 (neg.f64 (pow.f64 (cbrt.f64 a) 2))))
(.f64 (pow.f64 (cbrt.f64 a) -2) (.f64 -2 b_2))
(.f64 (cbrt.f64 (/.f64 1 a)) (/.f64 (.f64 -2 b_2) (cbrt.f64 a)))
(*.f64 (/.f64 -2 (cbrt.f64 a)) (/.f64 b_2 (cbrt.f64 a)))
(*.f64 (/.f64 b_2 (cbrt.f64 a)) (/.f64 -2 (cbrt.f64 a)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 -2 b_2)) 2) (cbrt.f64 a)) (cbrt.f64 (/.f64 -2 (/.f64 a b_2))))
(*.f64 (/.f64 b_2 1) (/.f64 -2 (pow.f64 (cbrt.f64 a) 2)))
(*.f64 (/.f64 -2 (pow.f64 (cbrt.f64 a) 2)) b_2)
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 -2 b_2)) 2) 1) (/.f64 (cbrt.f64 (*.f64 -2 b_2)) (pow.f64 (cbrt.f64 a) 2)))
(.f64 (/.f64 (sqrt.f64 (.f64 -2 b_2)) 1) (/.f64 (sqrt.f64 (*.f64 -2 b_2)) (pow.f64 (cbrt.f64 a) 2)))
(*.f64 (/.f64 -2 (pow.f64 (cbrt.f64 (cbrt.f64 a)) 4)) (/.f64 b_2 (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2)))
(*.f64 (/.f64 b_2 (pow.f64 (cbrt.f64 (cbrt.f64 a)) 4)) (/.f64 -2 (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2) -2) (/.f64 (.f64 -2 b_2) (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 -2 b_2)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 a)) 4)) (cbrt.f64 (*.f64 -2 (/.f64 b_2 (pow.f64 (cbrt.f64 a) 2)))))
(.f64 (/.f64 (sqrt.f64 (.f64 -2 b_2)) (pow.f64 (cbrt.f64 (cbrt.f64 a)) 4)) (/.f64 (sqrt.f64 (*.f64 -2 b_2)) (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2)))
(pow.f64 (*.f64 -2 (/.f64 b_2 (pow.f64 (cbrt.f64 a) 2))) 1)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 -2 b_2)) (cbrt.f64 a)) 4) 1/2)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 -2 b_2)) (cbrt.f64 a)) 6) 1/3)
(pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 b_2 (pow.f64 (cbrt.f64 a) 2)))) 3)
(pow.f64 (/.f64 (sqrt.f64 (*.f64 -2 b_2)) (cbrt.f64 a)) 2)
(pow.f64 (*.f64 -1/2 (/.f64 (pow.f64 (cbrt.f64 a) 2) b_2)) -1)
(pow.f64 (exp.f64 1) (-.f64 (log.f64 (.f64 -2 b_2)) (.f64 2/3 (log.f64 a))))
(pow.f64 (/.f64 (pow.f64 (.f64 -2 b_2) 3) (.f64 a a)) 1/3)
(pow.f64 (/.f64 (*.f64 -1/2 (/.f64 (pow.f64 (cbrt.f64 a) 2) b_2)) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 (.f64 -2 b_2)) (.f64 2/3 (log.f64 a)))) 2)) (cbrt.f64 (-.f64 (log.f64 (.f64 -2 b_2)) (.f64 2/3 (log.f64 a)))))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log.f64 (.f64 -2 b_2)) (.f64 2/3 (log.f64 a))))) (sqrt.f64 (-.f64 (log.f64 (.f64 -2 b_2)) (.f64 2/3 (log.f64 a)))))
(neg.f64 (/.f64 (*.f64 -2 b_2) (neg.f64 (pow.f64 (cbrt.f64 a) 2))))
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 -2 b_2)) (cbrt.f64 a)) 4))
(log.f64 (pow.f64 (pow.f64 (exp.f64 -2) b_2) (pow.f64 (cbrt.f64 a) -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -2 (/.f64 b_2 (pow.f64 (cbrt.f64 a) 2))))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 -2 b_2)) (cbrt.f64 a)) 6))
(cbrt.f64 (/.f64 (pow.f64 (.f64 -2 b_2) 3) (.f64 a a)))
(expm1.f64 (log1p.f64 (*.f64 -2 (/.f64 b_2 (pow.f64 (cbrt.f64 a) 2)))))
(log1p.f64 (expm1.f64 (*.f64 -2 (/.f64 b_2 (pow.f64 (cbrt.f64 a) 2)))))
(exp.f64 (-.f64 (log.f64 (.f64 -2 b_2)) (.f64 2/3 (log.f64 a))))
(exp.f64 (.f64 (-.f64 (log.f64 (.f64 -2 b_2)) (*.f64 2/3 (log.f64 a))) 1))
(exp.f64 (.f64 (log.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 -2 b_2)) (cbrt.f64 a)) 6)) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 -2 (/.f64 b_2 (pow.f64 (cbrt.f64 a) 2))))) 3))
(exp.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 (.f64 -2 b_2)) (cbrt.f64 a))) 2))
(exp.f64 (.f64 (-.f64 (.f64 2/3 (log.f64 a)) (log.f64 (*.f64 -2 b_2))) -1))
(exp.f64 (.f64 (.f64 (-.f64 (log.f64 (.f64 -2 b_2)) (.f64 2/3 (log.f64 a))) 1) 1))

Outputs
(*.f64 -2 (/.f64 b_2 a))
(*.f64 b_2 (/.f64 -2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 b_2 (/.f64 -2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 b_2 (/.f64 -2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 b_2 (/.f64 -2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 b_2 (/.f64 -2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 b_2 (/.f64 -2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 b_2 (/.f64 -2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 b_2 (/.f64 -2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 b_2 (/.f64 -2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 b_2 (/.f64 -2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 b_2 (/.f64 -2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 b_2 (/.f64 -2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 b_2 (/.f64 -2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 b_2 (/.f64 -2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 b_2 (/.f64 -2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 b_2 (/.f64 -2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 b_2 (/.f64 -2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 b_2 (/.f64 -2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 b_2 (/.f64 -2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 b_2 (/.f64 -2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 b_2 (/.f64 -2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 b_2 (/.f64 -2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 b_2 (/.f64 -2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 b_2 (/.f64 -2 a))
(.f64 -2 (.f64 (pow.f64 (/.f64 1 (pow.f64 a 2)) 1/3) b_2))
(.f64 -2 (.f64 b_2 (cbrt.f64 (/.f64 1 (*.f64 a a)))))
(.f64 -2 (.f64 b_2 (pow.f64 (cbrt.f64 a) -2)))
(.f64 -2 (.f64 (pow.f64 (/.f64 1 (pow.f64 a 2)) 1/3) b_2))
(.f64 -2 (.f64 b_2 (cbrt.f64 (/.f64 1 (*.f64 a a)))))
(.f64 -2 (.f64 b_2 (pow.f64 (cbrt.f64 a) -2)))
(.f64 -2 (.f64 (pow.f64 (/.f64 1 (pow.f64 a 2)) 1/3) b_2))
(.f64 -2 (.f64 b_2 (cbrt.f64 (/.f64 1 (*.f64 a a)))))
(.f64 -2 (.f64 b_2 (pow.f64 (cbrt.f64 a) -2)))
(.f64 -2 (.f64 (pow.f64 (/.f64 1 (pow.f64 a 2)) 1/3) b_2))
(.f64 -2 (.f64 b_2 (cbrt.f64 (/.f64 1 (*.f64 a a)))))
(.f64 -2 (.f64 b_2 (pow.f64 (cbrt.f64 a) -2)))
(.f64 -2 (.f64 (pow.f64 (/.f64 1 (pow.f64 a 2)) 1/3) b_2))
(.f64 -2 (.f64 b_2 (cbrt.f64 (/.f64 1 (*.f64 a a)))))
(.f64 -2 (.f64 b_2 (pow.f64 (cbrt.f64 a) -2)))
(.f64 -2 (.f64 (pow.f64 (/.f64 1 (pow.f64 a 2)) 1/3) b_2))
(.f64 -2 (.f64 b_2 (cbrt.f64 (/.f64 1 (*.f64 a a)))))
(.f64 -2 (.f64 b_2 (pow.f64 (cbrt.f64 a) -2)))
(.f64 -2 (.f64 (pow.f64 (/.f64 1 (pow.f64 a 2)) 1/3) b_2))
(.f64 -2 (.f64 b_2 (cbrt.f64 (/.f64 1 (*.f64 a a)))))
(.f64 -2 (.f64 b_2 (pow.f64 (cbrt.f64 a) -2)))
(.f64 -2 (.f64 (pow.f64 (/.f64 1 (pow.f64 a 2)) 1/3) b_2))
(.f64 -2 (.f64 b_2 (cbrt.f64 (/.f64 1 (*.f64 a a)))))
(.f64 -2 (.f64 b_2 (pow.f64 (cbrt.f64 a) -2)))
(.f64 -2 (.f64 (pow.f64 (/.f64 1 (pow.f64 a 2)) 1/3) b_2))
(.f64 -2 (.f64 b_2 (cbrt.f64 (/.f64 1 (*.f64 a a)))))
(.f64 -2 (.f64 b_2 (pow.f64 (cbrt.f64 a) -2)))
(.f64 -2 (.f64 (pow.f64 (/.f64 1 (pow.f64 a 2)) 1/3) b_2))
(.f64 -2 (.f64 b_2 (cbrt.f64 (/.f64 1 (*.f64 a a)))))
(.f64 -2 (.f64 b_2 (pow.f64 (cbrt.f64 a) -2)))
(.f64 -2 (.f64 (pow.f64 (/.f64 1 (pow.f64 a 2)) 1/3) b_2))
(.f64 -2 (.f64 b_2 (cbrt.f64 (/.f64 1 (*.f64 a a)))))
(.f64 -2 (.f64 b_2 (pow.f64 (cbrt.f64 a) -2)))
(.f64 -2 (.f64 (pow.f64 (/.f64 1 (pow.f64 a 2)) 1/3) b_2))
(.f64 -2 (.f64 b_2 (cbrt.f64 (/.f64 1 (*.f64 a a)))))
(.f64 -2 (.f64 b_2 (pow.f64 (cbrt.f64 a) -2)))
(+.f64 0 (cbrt.f64 a))
(cbrt.f64 a)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 a))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 a)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 a))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 a)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 a)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 a)))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 a)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 a)))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 a))) 1)
(cbrt.f64 a)
(*.f64 (cbrt.f64 a) 1)
(cbrt.f64 a)
(*.f64 1 (cbrt.f64 a))
(cbrt.f64 a)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2) (cbrt.f64 (cbrt.f64 a)))
(cbrt.f64 a)
(*.f64 (cbrt.f64 (cbrt.f64 a)) (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2))
(cbrt.f64 a)
(*.f64 (pow.f64 a 1/6) (pow.f64 a 1/6))
(cbrt.f64 a)
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 a)) 4)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2)))
(cbrt.f64 a)
(pow.f64 a 1/3)
(cbrt.f64 a)
(pow.f64 (cbrt.f64 a) 1)
(cbrt.f64 a)
(pow.f64 (pow.f64 (cbrt.f64 a) 2) 1/2)
(cbrt.f64 a)
(pow.f64 (*.f64 a a) 1/6)
(cbrt.f64 a)
(pow.f64 (pow.f64 a 3) 1/9)
(*.f64 (pow.f64 (pow.f64 a 3) 1/18) (pow.f64 (pow.f64 a 3) 1/18))
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2) 3/2)
(pow.f64 (cbrt.f64 (cbrt.f64 a)) 3)
(cbrt.f64 a)
(pow.f64 (sqrt.f64 a) 2/3)
(*.f64 (pow.f64 (sqrt.f64 a) 1/3) (pow.f64 (sqrt.f64 a) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 a)) (cbrt.f64 (sqrt.f64 a)))
(pow.f64 (pow.f64 a 1/6) 2)
(cbrt.f64 a)
(pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 a)))
(cbrt.f64 a)
(pow.f64 (exp.f64 1/3) (log.f64 a))
(cbrt.f64 a)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 a))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 a))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 a)))) (sqrt.f64 (log.f64 (cbrt.f64 a))))
(sqrt.f64 (pow.f64 (cbrt.f64 a) 2))
(cbrt.f64 a)
(fabs.f64 (cbrt.f64 a))
(cbrt.f64 a)
(log.f64 (exp.f64 (cbrt.f64 a)))
(cbrt.f64 a)
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 a))))
(cbrt.f64 a)
(expm1.f64 (log1p.f64 (cbrt.f64 a)))
(cbrt.f64 a)
(log1p.f64 (expm1.f64 (cbrt.f64 a)))
(cbrt.f64 a)
(exp.f64 (log.f64 (cbrt.f64 a)))
(cbrt.f64 a)
(exp.f64 (*.f64 (log.f64 a) 1/3))
(cbrt.f64 a)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 a)) 1))
(cbrt.f64 a)
(exp.f64 (.f64 (.f64 2/3 (log.f64 a)) 1/2))
(cbrt.f64 a)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 a))) 3))
(cbrt.f64 a)
(exp.f64 (*.f64 (log.f64 (pow.f64 a 1/6)) 2))
(cbrt.f64 a)
(exp.f64 (.f64 (.f64 (log.f64 a) 1) 1/3))
(cbrt.f64 a)
(exp.f64 (.f64 (.f64 (log.f64 a) 1/3) 1))
(cbrt.f64 a)
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 a)) 1) 1))
(cbrt.f64 a)
(exp.f64 (.f64 (.f64 (*.f64 2/3 (log.f64 a)) 1) 1/2))
(cbrt.f64 a)
(+.f64 0 (pow.f64 (cbrt.f64 a) 2))
(pow.f64 (cbrt.f64 a) 2)
(cbrt.f64 (*.f64 a a))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 a) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 a) 2)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 a) 2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 a) 2)))))
(.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (.f64 a a))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 a) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 a) 2)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 a) 2)))))
(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (.f64 a a))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 a) 2))) 1)
(pow.f64 (cbrt.f64 a) 2)
(cbrt.f64 (*.f64 a a))
(*.f64 (cbrt.f64 a) (cbrt.f64 a))
(pow.f64 (cbrt.f64 a) 2)
(cbrt.f64 (*.f64 a a))
(*.f64 (pow.f64 (cbrt.f64 a) 2) 1)
(pow.f64 (cbrt.f64 a) 2)
(cbrt.f64 (*.f64 a a))
(*.f64 1 (pow.f64 (cbrt.f64 a) 2))
(pow.f64 (cbrt.f64 a) 2)
(cbrt.f64 (*.f64 a a))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 a)) 4))
(pow.f64 (cbrt.f64 a) 2)
(cbrt.f64 (*.f64 a a))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 a)) 4) (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2))
(pow.f64 (cbrt.f64 a) 2)
(cbrt.f64 (*.f64 a a))
(*.f64 (sqrt.f64 a) (pow.f64 a 1/6))
(*.f64 (pow.f64 a 1/6) (sqrt.f64 a))
(*.f64 (pow.f64 a 1/6) (sqrt.f64 a))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 a)) 5) (cbrt.f64 (cbrt.f64 a)))
(pow.f64 (cbrt.f64 a) 2)
(cbrt.f64 (*.f64 a a))
(sqrt.f64 (*.f64 a (cbrt.f64 a)))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 a) 2)))
(pow.f64 (cbrt.f64 a) 2)
(cbrt.f64 (*.f64 a a))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 a) 2))))
(pow.f64 (cbrt.f64 a) 2)
(cbrt.f64 (*.f64 a a))
(cbrt.f64 (*.f64 a a))
(pow.f64 (cbrt.f64 a) 2)
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 a) 2)))
(pow.f64 (cbrt.f64 a) 2)
(cbrt.f64 (*.f64 a a))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 a) 2)))
(pow.f64 (cbrt.f64 a) 2)
(cbrt.f64 (*.f64 a a))
(exp.f64 (*.f64 2/3 (log.f64 a)))
(pow.f64 (cbrt.f64 a) 2)
(cbrt.f64 (*.f64 a a))
(exp.f64 (.f64 (.f64 2/3 (log.f64 a)) 1))
(pow.f64 (cbrt.f64 a) 2)
(cbrt.f64 (*.f64 a a))
(exp.f64 (*.f64 (log.f64 a) 2/3))
(pow.f64 (cbrt.f64 a) 2)
(cbrt.f64 (*.f64 a a))
(exp.f64 (.f64 (.f64 2 (log.f64 a)) 1/3))
(pow.f64 (cbrt.f64 a) 2)
(cbrt.f64 (*.f64 a a))
(exp.f64 (.f64 (.f64 1/3 (*.f64 2/3 (log.f64 a))) 3))
(pow.f64 (cbrt.f64 a) 2)
(cbrt.f64 (*.f64 a a))
(exp.f64 (.f64 (.f64 (log.f64 a) 1) 2/3))
(pow.f64 (cbrt.f64 a) 2)
(cbrt.f64 (*.f64 a a))
(exp.f64 (.f64 (.f64 (log.f64 a) 1/3) 2))
(pow.f64 (cbrt.f64 a) 2)
(cbrt.f64 (*.f64 a a))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 a)) 1) 2))
(pow.f64 (cbrt.f64 a) 2)
(cbrt.f64 (*.f64 a a))
(exp.f64 (.f64 (.f64 (*.f64 2/3 (log.f64 a)) 1) 1))
(pow.f64 (cbrt.f64 a) 2)
(cbrt.f64 (*.f64 a a))
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(*.f64 b_2 (/.f64 -2 a))
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(+.f64 (.f64 2 (log.f64 (cbrt.f64 (exp.f64 (.f64 (/.f64 -2 a) b_2))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 -2 a) b_2)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 -2 a)) b_2))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -2) (/.f64 b_2 a)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -2 (/.f64 a b_2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -2 (/.f64 a b_2))))))
(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (.f64 (/.f64 -2 a) b_2)))))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 -2 a)) b_2))))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -2) (/.f64 b_2 a)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 -2 (/.f64 a b_2)))) 1)
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(*.f64 b_2 (/.f64 -2 a))
(.f64 (.f64 -2 b_2) (/.f64 1 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 b_2 (/.f64 -2 a))
(.f64 (.f64 -2 (/.f64 b_2 (pow.f64 (cbrt.f64 a) 2))) (cbrt.f64 (/.f64 1 a)))
(.f64 -2 (.f64 (/.f64 b_2 (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 (/.f64 1 a))))
(.f64 (.f64 (cbrt.f64 (/.f64 1 a)) b_2) (/.f64 -2 (cbrt.f64 (*.f64 a a))))
(.f64 b_2 (.f64 (/.f64 -2 (cbrt.f64 (*.f64 a a))) (cbrt.f64 (/.f64 1 a))))
(*.f64 (/.f64 -2 (/.f64 a b_2)) 1)
(*.f64 -2 (/.f64 b_2 a))
(*.f64 b_2 (/.f64 -2 a))
(*.f64 1 (/.f64 -2 (/.f64 a b_2)))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 b_2 (/.f64 -2 a))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 -2 b_2)) (cbrt.f64 a)) 4)) (.f64 (cbrt.f64 (.f64 -2 (/.f64 b_2 (pow.f64 (cbrt.f64 a) 2)))) (cbrt.f64 (/.f64 1 a))))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 -2 b_2)) (cbrt.f64 a)) 4)) (.f64 (cbrt.f64 (/.f64 1 a)) (cbrt.f64 (.f64 -2 (/.f64 b_2 (pow.f64 (cbrt.f64 a) 2))))))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 -2 b_2)) (cbrt.f64 a)) 4)) (.f64 (cbrt.f64 (/.f64 1 a)) (cbrt.f64 (.f64 -2 (/.f64 b_2 (cbrt.f64 (*.f64 a a)))))))
(.f64 (cbrt.f64 (/.f64 1 a)) (.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 -2 b_2)) (cbrt.f64 a)) 4)) (cbrt.f64 (.f64 -2 (*.f64 b_2 (pow.f64 (cbrt.f64 a) -2))))))
(*.f64 (cbrt.f64 (/.f64 -2 (/.f64 a b_2))) (pow.f64 (cbrt.f64 (/.f64 -2 (/.f64 a b_2))) 2))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 b_2 (/.f64 -2 a))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 -2 (/.f64 a b_2))) 2) (cbrt.f64 (/.f64 -2 (/.f64 a b_2))))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 b_2 (/.f64 -2 a))
(.f64 (/.f64 (sqrt.f64 (.f64 -2 b_2)) (cbrt.f64 a)) (/.f64 (sqrt.f64 (*.f64 -2 b_2)) (pow.f64 (cbrt.f64 a) 2)))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 b_2 (/.f64 -2 a))
(.f64 (/.f64 (sqrt.f64 (.f64 -2 b_2)) (cbrt.f64 a)) (.f64 (/.f64 (sqrt.f64 (.f64 -2 b_2)) (cbrt.f64 a)) (cbrt.f64 (/.f64 1 a))))
(.f64 -2 (.f64 (/.f64 b_2 (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 (/.f64 1 a))))
(.f64 (.f64 (cbrt.f64 (/.f64 1 a)) b_2) (/.f64 -2 (cbrt.f64 (*.f64 a a))))
(.f64 b_2 (.f64 (/.f64 -2 (cbrt.f64 (*.f64 a a))) (cbrt.f64 (/.f64 1 a))))
(*.f64 (sqrt.f64 (/.f64 -2 (/.f64 a b_2))) (sqrt.f64 (/.f64 -2 (/.f64 a b_2))))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 b_2 (/.f64 -2 a))
(.f64 (.f64 (*.f64 2 b_2) (pow.f64 (cbrt.f64 a) -2)) (/.f64 1 (neg.f64 (cbrt.f64 a))))
(.f64 (.f64 b_2 2) (*.f64 (pow.f64 (cbrt.f64 a) -2) (/.f64 1 (neg.f64 (cbrt.f64 a)))))
(/.f64 (.f64 b_2 (.f64 2 (pow.f64 (cbrt.f64 a) -2))) (neg.f64 (cbrt.f64 a)))
(neg.f64 (neg.f64 (*.f64 b_2 (/.f64 -2 a))))
(.f64 (cbrt.f64 (/.f64 1 a)) (.f64 -2 (/.f64 b_2 (pow.f64 (cbrt.f64 a) 2))))
(.f64 -2 (.f64 (/.f64 b_2 (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 (/.f64 1 a))))
(.f64 (.f64 (cbrt.f64 (/.f64 1 a)) b_2) (/.f64 -2 (cbrt.f64 (*.f64 a a))))
(.f64 b_2 (.f64 (/.f64 -2 (cbrt.f64 (*.f64 a a))) (cbrt.f64 (/.f64 1 a))))
(*.f64 (/.f64 -2 (cbrt.f64 a)) (/.f64 b_2 (pow.f64 (cbrt.f64 a) 2)))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 b_2 (/.f64 -2 a))
(*.f64 (/.f64 b_2 (cbrt.f64 a)) (/.f64 -2 (pow.f64 (cbrt.f64 a) 2)))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 b_2 (/.f64 -2 a))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 -2 b_2)) 2) (cbrt.f64 a)) (/.f64 (cbrt.f64 (*.f64 -2 b_2)) (pow.f64 (cbrt.f64 a) 2)))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 b_2 (/.f64 -2 a))
(.f64 (/.f64 (.f64 -2 b_2) (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2)) (/.f64 (pow.f64 (cbrt.f64 a) -2) (cbrt.f64 (cbrt.f64 a))))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 b_2 (/.f64 -2 a))
(.f64 (/.f64 (.f64 -2 b_2) 1) (/.f64 1 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 b_2 (/.f64 -2 a))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 -2 b_2)) (cbrt.f64 a)) 4)) 1) (/.f64 (cbrt.f64 (*.f64 -2 (/.f64 b_2 (pow.f64 (cbrt.f64 a) 2)))) (cbrt.f64 a)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 -2 b_2)) (cbrt.f64 a)) 4)) (/.f64 (cbrt.f64 (*.f64 -2 (/.f64 b_2 (pow.f64 (cbrt.f64 a) 2)))) (cbrt.f64 a)))
(/.f64 (cbrt.f64 (.f64 -2 (/.f64 b_2 (cbrt.f64 (.f64 a a))))) (/.f64 (cbrt.f64 a) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 -2 b_2)) (cbrt.f64 a)) 4))))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 -2 b_2)) (cbrt.f64 a)) 4)) (/.f64 (cbrt.f64 (.f64 -2 (.f64 b_2 (pow.f64 (cbrt.f64 a) -2)))) (cbrt.f64 a)))
(.f64 (/.f64 (/.f64 (sqrt.f64 (.f64 -2 b_2)) (cbrt.f64 a)) 1) (/.f64 (/.f64 (sqrt.f64 (*.f64 -2 b_2)) (cbrt.f64 a)) (cbrt.f64 a)))
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(*.f64 b_2 (/.f64 -2 a))
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(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 a)) -2) (.f64 (/.f64 -2 (cbrt.f64 (cbrt.f64 a))) (/.f64 b_2 (cbrt.f64 (*.f64 a a)))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 a)) -2) (.f64 (*.f64 -2 b_2) (/.f64 (pow.f64 (cbrt.f64 a) -2) (cbrt.f64 (cbrt.f64 a)))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 -2 b_2)) (cbrt.f64 a)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2)) (cbrt.f64 (/.f64 -2 (/.f64 a b_2))))
(.f64 (cbrt.f64 (.f64 (/.f64 -2 a) b_2)) (/.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 -2 b_2)) (cbrt.f64 a)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2)))
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(/.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 -2 b_2)) (cbrt.f64 a)) 4)) (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2) (cbrt.f64 (.f64 b_2 (/.f64 -2 a)))))
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(.f64 (/.f64 (.f64 -2 b_2) (pow.f64 a 1/6)) (pow.f64 (cbrt.f64 a) -5/2))
(*.f64 (/.f64 b_2 (/.f64 (pow.f64 a 1/6) -2)) (pow.f64 (cbrt.f64 a) -5/2))
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(*.f64 (pow.f64 a -1/6) (/.f64 -2 (/.f64 (pow.f64 a 1/6) (/.f64 b_2 (pow.f64 (cbrt.f64 a) 2)))))
(.f64 (pow.f64 a -1/6) (/.f64 (.f64 -2 b_2) (.f64 (pow.f64 a 1/6) (cbrt.f64 (.f64 a a)))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 -2 b_2)) (cbrt.f64 a)) 4)) (pow.f64 a 1/6)) (/.f64 (cbrt.f64 (*.f64 -2 (/.f64 b_2 (pow.f64 (cbrt.f64 a) 2)))) (pow.f64 a 1/6)))
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(pow.f64 (pow.f64 (/.f64 -2 (/.f64 a b_2)) 2) 1/2)
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(pow.f64 (sqrt.f64 (/.f64 -2 (/.f64 a b_2))) 2)
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(pow.f64 (.f64 (/.f64 1 (.f64 -2 b_2)) a) -1)
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(pow.f64 (exp.f64 1) (log.f64 (/.f64 -2 (/.f64 a b_2))))
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(pow.f64 (/.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 -2 b_2)) (cbrt.f64 a)) 6) a) 1/3)
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 -2 b_2)) (cbrt.f64 a)) 6) a))
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(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (/.f64 -2 a) b_2))) 2)) (cbrt.f64 (log.f64 (.f64 (/.f64 -2 a) b_2))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 -2 (/.f64 b_2 a)))) 2)) (cbrt.f64 (log.f64 (.f64 -2 (/.f64 b_2 a)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 b_2 (/.f64 -2 a)))) 2)) (cbrt.f64 (log.f64 (.f64 b_2 (/.f64 -2 a)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 -2 (/.f64 a b_2))))) (sqrt.f64 (log.f64 (/.f64 -2 (/.f64 a b_2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (/.f64 -2 a) b_2)))) (sqrt.f64 (log.f64 (.f64 (/.f64 -2 a) b_2))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 -2 (/.f64 b_2 a))))) (sqrt.f64 (log.f64 (.f64 -2 (/.f64 b_2 a)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 b_2 (/.f64 -2 a))))) (sqrt.f64 (log.f64 (.f64 b_2 (/.f64 -2 a)))))
(neg.f64 (/.f64 (*.f64 -2 (/.f64 b_2 (pow.f64 (cbrt.f64 a) 2))) (neg.f64 (cbrt.f64 a))))
(.f64 (.f64 b_2 2) (*.f64 (pow.f64 (cbrt.f64 a) -2) (/.f64 1 (neg.f64 (cbrt.f64 a)))))
(/.f64 (.f64 b_2 (.f64 2 (pow.f64 (cbrt.f64 a) -2))) (neg.f64 (cbrt.f64 a)))
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(.f64 -2 (.f64 b_2 (cbrt.f64 (/.f64 1 (*.f64 a a)))))
(.f64 -2 (.f64 b_2 (pow.f64 (cbrt.f64 a) -2)))
(exp.f64 (.f64 (-.f64 (log.f64 (.f64 -2 b_2)) (*.f64 2/3 (log.f64 a))) 1))
(.f64 -2 (.f64 b_2 (cbrt.f64 (/.f64 1 (*.f64 a a)))))
(.f64 -2 (.f64 b_2 (pow.f64 (cbrt.f64 a) -2)))
(exp.f64 (.f64 (log.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 -2 b_2)) (cbrt.f64 a)) 6)) 1/3))
(.f64 -2 (.f64 b_2 (cbrt.f64 (/.f64 1 (*.f64 a a)))))
(.f64 -2 (.f64 b_2 (pow.f64 (cbrt.f64 a) -2)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 -2 (/.f64 b_2 (pow.f64 (cbrt.f64 a) 2))))) 3))
(.f64 -2 (.f64 b_2 (cbrt.f64 (/.f64 1 (*.f64 a a)))))
(.f64 -2 (.f64 b_2 (pow.f64 (cbrt.f64 a) -2)))
(exp.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 (.f64 -2 b_2)) (cbrt.f64 a))) 2))
(.f64 -2 (.f64 b_2 (cbrt.f64 (/.f64 1 (*.f64 a a)))))
(.f64 -2 (.f64 b_2 (pow.f64 (cbrt.f64 a) -2)))
(exp.f64 (.f64 (-.f64 (.f64 2/3 (log.f64 a)) (log.f64 (*.f64 -2 b_2))) -1))
(pow.f64 (exp.f64 (-.f64 (.f64 2/3 (log.f64 a)) (log.f64 (.f64 -2 b_2)))) -1)
(/.f64 1 (/.f64 (cbrt.f64 (.f64 a a)) (.f64 -2 b_2)))
(/.f64 1 (.f64 (cbrt.f64 (.f64 a a)) (/.f64 -1/2 b_2)))
(exp.f64 (.f64 (.f64 (-.f64 (log.f64 (.f64 -2 b_2)) (.f64 2/3 (log.f64 a))) 1) 1))
(.f64 -2 (.f64 b_2 (cbrt.f64 (/.f64 1 (*.f64 a a)))))
(.f64 -2 (.f64 b_2 (pow.f64 (cbrt.f64 a) -2)))

eval330.0ms (2.5%)

Compiler: Compiled 17997 to 8511 computations (52.7% saved)

prune481.0ms (3.6%)

Pruning

62 alts after pruning (52 fresh and 10 done)

	Pruned	Kept	Total
New	911	20	931
Fresh	4	32	36
Picked	0	1	1
Done	0	9	9
Total	915	62	977

Error

0.2b

Counts

977 → 62

Alt Table

Click to see full alt table

Status	Error	Program
	35.3b	(fma.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/4) (/.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/4) a) (/.f64 (neg.f64 b_2) a))
	36.0b	(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))) a)) 2) (cbrt.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))) a)) (neg.f64 (/.f64 b_2 a)))
	40.4b	(pow.f64 (fma.f64 1/2 (/.f64 a b_2) (*.f64 -2 (/.f64 b_2 c))) -1)
	47.0b	(pow.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (*.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c))) b_2)) -1)
	45.0b	(pow.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (*.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 c)))) b_2)) -1)
✓	32.4b	(pow.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2)) -1)
	46.2b	(pow.f64 (/.f64 -1/2 (/.f64 b_2 a)) -1)
	45.4b	(pow.f64 (sqrt.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2) a)) 2)
	49.2b	(pow.f64 (exp.f64 1) (+.f64 0 (log.f64 (/.f64 (*.f64 -1/2 c) b_2))))
	54.8b	(pow.f64 (exp.f64 1) (log.f64 (/.f64 -2 (/.f64 a b_2))))
	46.4b	(pow.f64 (cbrt.f64 (/.f64 -2 (/.f64 a b_2))) 3)
	40.7b	(pow.f64 (cbrt.f64 (.f64 1 (/.f64 (.f64 -1/2 c) b_2))) 3)
	57.7b	(/.f64 (fma.f64 (/.f64 (.f64 b_2 b_2) c) -2 (.f64 1/2 a)) (*.f64 (/.f64 a c) b_2))
	57.2b	(/.f64 (pow.f64 (pow.f64 (*.f64 b_2 -2) 3) 1/3) a)
	62.6b	(/.f64 (pow.f64 (E.f64) (log.f64 (+.f64 b_2 b_2))) a)
	48.5b	(/.f64 (pow.f64 (E.f64) (log.f64 (*.f64 -2 b_2))) a)
✓	45.9b	(/.f64 (/.f64 (.f64 (.f64 -1/2 c) a) b_2) a)
	37.0b	(/.f64 (/.f64 (.f64 c (neg.f64 a)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))) a)
	44.5b	(/.f64 (/.f64 (*.f64 c -1/2) (/.f64 b_2 a)) a)
✓	46.5b	(/.f64 (/.f64 (*.f64 -2 b_2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
	54.8b	(/.f64 (/.f64 (.f64 -2 b_2) (exp.f64 (.f64 (log.f64 a) 2/3))) (cbrt.f64 a))
	46.0b	(/.f64 (/.f64 -1/2 (/.f64 b_2 (*.f64 c a))) a)
	43.6b	(/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 c (neg.f64 a)) 1/4) 2) b_2) a)
	56.5b	(/.f64 (-.f64 (+.f64 b_2 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))) b_2) a)
✓	34.8b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
	34.8b	(/.f64 (-.f64 (sqrt.f64 (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 2 (fma.f64 a (neg.f64 c) (.f64 c a))))) b_2) a)
	43.6b	(/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)
	43.3b	(/.f64 (-.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3/2)) b_2) a)
	46.4b	(/.f64 (+.f64 (.f64 -2 b_2) (.f64 (/.f64 c (/.f64 b_2 a)) 1/2)) a)
	62.1b	(/.f64 (+.f64 b_2 b_2) a)
	45.9b	(/.f64 (.f64 (/.f64 1 b_2) (.f64 -1/2 (*.f64 c a))) a)
	40.3b	(/.f64 (*.f64 c -1/2) b_2)
	53.0b	(/.f64 (sqrt.f64 (.f64 4 (.f64 b_2 b_2))) a)
✓	59.3b	(/.f64 (neg.f64 b_2) a)
✓	48.5b	(/.f64 (exp.f64 (log.f64 (*.f64 b_2 -2))) a)
	59.7b	(/.f64 (cbrt.f64 (*.f64 (/.f64 -8 a) (/.f64 (pow.f64 b_2 3) a))) (cbrt.f64 a))
	62.1b	(/.f64 2 (/.f64 a b_2))
✓	56.4b	(/.f64 0 a)
	40.8b	(/.f64 -1/2 (/.f64 b_2 c))
	46.2b	(/.f64 -2 (/.f64 a b_2))
	47.5b	(-.f64 (/.f64 (hypot.f64 b_2 (*.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c))) a) (/.f64 b_2 a))
	45.2b	(-.f64 (/.f64 (hypot.f64 b_2 (*.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 c)))) a) (/.f64 b_2 a))
✓	33.3b	(-.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) a) (/.f64 b_2 a))
	61.1b	(-.f64 (+.f64 1 (*.f64 (/.f64 b_2 a) 2)) 1)
	46.4b	(+.f64 (/.f64 -2 (/.f64 a b_2)) (/.f64 1/2 (/.f64 b_2 c)))
	46.7b	(+.f64 (-.f64 (+.f64 1 (*.f64 -2 (/.f64 b_2 a))) 1) (/.f64 1/2 (/.f64 b_2 c)))
	51.1b	(+.f64 (.f64 -2 (/.f64 b_2 a)) (pow.f64 (pow.f64 (.f64 c (/.f64 1/2 b_2)) 3) 1/3))
	46.3b	(+.f64 (*.f64 -2 (/.f64 b_2 a)) (pow.f64 (cbrt.f64 (/.f64 1/2 (/.f64 b_2 c))) 3))
	53.1b	(+.f64 (*.f64 -2 (/.f64 b_2 a)) (exp.f64 (log.f64 (/.f64 1/2 (/.f64 b_2 c)))))
	61.4b	(+.f64 (log.f64 (pow.f64 (exp.f64 -2) (/.f64 b_2 a))) (/.f64 1/2 (/.f64 b_2 c)))
	47.1b	(.f64 (/.f64 1 a) (-.f64 (hypot.f64 b_2 (.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c))) b_2))
	44.9b	(.f64 (/.f64 1 a) (-.f64 (hypot.f64 b_2 (.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 c)))) b_2))
✓	32.4b	(.f64 (/.f64 1 a) (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))) b_2))
	46.2b	(*.f64 (/.f64 -2 a) b_2)
	40.4b	(*.f64 c (/.f64 -1/2 b_2))
	56.7b	(*.f64 1/2 (/.f64 c b_2))
✓	46.1b	(*.f64 -2 (/.f64 b_2 a))
	49.1b	(exp.f64 (+.f64 0 (log.f64 (/.f64 (*.f64 -1/2 c) b_2))))
	54.8b	(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 -2 (/.f64 a b_2)))) 1/3))
	54.8b	(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 -2 (/.f64 a b_2)))) 3))
	55.1b	(exp.f64 (log.f64 (fma.f64 -2 (/.f64 b_2 a) (/.f64 1/2 (/.f64 b_2 c)))))
	54.8b	(exp.f64 (log.f64 (/.f64 -2 (/.f64 a b_2))))

Compiler

Compiled 864 to 612 computations (29.2% saved)

regimes1.6s (11.9%)

Counts

89 → 3

Calls

Call 1

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

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

Calls

4 calls:

709.0ms	a
549.0ms	c
173.0ms	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
120.0ms	b_2

Results

Error	Segments	Branch
20.9b	12	`a`
11.0b	3	`b_2`
22.9b	8	`c`
11.9b	6	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`

Compiler

Compiled 1071 to 481 computations (55.1% saved)

bsearch42.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
28.0ms	1.9193598910928357e-52	5.983057518688635e-50
13.0ms	-1.849961263101102e+121	-7.725749967916965e+120

Results

18.0ms	161×	body	256	valid
7.0ms	16×	body	2048	valid
4.0ms	15×	body	1024	valid
3.0ms	22×	body	256	infinite
3.0ms	16×	body	512	valid
3.0ms	26×	body	256	invalid

Compiler

Compiled 477 to 301 computations (36.9% saved)

regimes545.0ms (4.1%)

Counts

59 → 3

Calls

Call 1

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

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

Calls

4 calls:

179.0ms	c
176.0ms	a
101.0ms	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
74.0ms	b_2

Results

Error	Segments	Branch
28.1b	7	`a`
11.1b	3	`b_2`
27.4b	7	`c`
13.1b	5	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`

Compiler

Compiled 588 to 315 computations (46.4% saved)

bsearch35.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
26.0ms	1.9193598910928357e-52	5.983057518688635e-50
8.0ms	-1.849961263101102e+121	-7.725749967916965e+120

Results

16.0ms	133×	body	256	valid
7.0ms	23×	body	1024	valid
3.0ms	28×	body	256	invalid
3.0ms	8×	body	2048	valid
2.0ms	12×	body	512	valid
1.0ms	9×	body	256	infinite

Compiler

Compiled 297 to 202 computations (32% saved)

regimes547.0ms (4.1%)

Counts

35 → 3

Calls

Call 1

Inputs
(/.f64 0 a)
(/.f64 (neg.f64 b_2) a)
(*.f64 -2 (/.f64 b_2 a))
(*.f64 1/2 (/.f64 c b_2))
(*.f64 b_2 (/.f64 -2 a))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 (/.f64 -2 a) b_2)
(/.f64 -2 (/.f64 a b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(/.f64 2 (/.f64 a b_2))
(/.f64 (*.f64 b_2 -2) a)
(/.f64 (*.f64 b_2 2) a)
(/.f64 (*.f64 c -1/2) b_2)
(/.f64 (+.f64 b_2 b_2) a)
(/.f64 (-.f64 b_2 b_2) a)
(-.f64 (+.f64 1 (*.f64 (/.f64 b_2 a) 2)) 1)
(/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)
(/.f64 (/.f64 -1/2 (/.f64 b_2 (*.f64 c a))) a)
(/.f64 (/.f64 (*.f64 c -1/2) (/.f64 b_2 a)) a)
(/.f64 (/.f64 (.f64 (.f64 -1/2 c) a) b_2) a)
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (/.f64 1/2 (/.f64 b_2 c)))
(+.f64 (/.f64 -2 (/.f64 a b_2)) (*.f64 1/2 (/.f64 c b_2)))
(+.f64 (/.f64 -2 (/.f64 a b_2)) (/.f64 1/2 (/.f64 b_2 c)))
(/.f64 (.f64 (/.f64 1 b_2) (.f64 -1/2 (*.f64 c a))) a)
(/.f64 (+.f64 (.f64 -2 b_2) (.f64 (/.f64 c (/.f64 b_2 a)) 1/2)) a)
(/.f64 (-.f64 (+.f64 b_2 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))) b_2) a)
(/.f64 (-.f64 (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2))) b_2) a)
(+.f64 (-.f64 (+.f64 1 (.f64 -2 (/.f64 b_2 a))) 1) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (-.f64 (+.f64 1 (*.f64 -2 (/.f64 b_2 a))) 1) (/.f64 1/2 (/.f64 b_2 c)))
(pow.f64 (*.f64 -2 (/.f64 b_2 c)) -1)
(pow.f64 (/.f64 -1/2 (/.f64 b_2 a)) -1)
(/.f64 (sqrt.f64 (.f64 4 (.f64 b_2 b_2))) a)
(/.f64 (-.f64 (sqrt.f64 (*.f64 b_2 b_2)) b_2) a)
(/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)

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

Calls

3 calls:

326.0ms	a
162.0ms	c
45.0ms	b_2

Results

Error	Segments	Branch
30.8b	14	`a`
14.2b	3	`b_2`
32.0b	10	`c`

Compiler

Compiled 295 to 158 computations (46.4% saved)

bsearch51.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
31.0ms	1.2532678193790614e-62	1.3054969831042352e-52
19.0ms	-5.194677574948557e-67	-7.798602429489359e-70

Results

28.0ms	237×	body	256	valid
6.0ms	57×	body	256	invalid
6.0ms	21×	body	1024	valid
4.0ms	21×	body	512	valid
3.0ms	9×	body	2048	valid

Compiler

Compiled 466 to 335 computations (28.1% saved)

regimes242.0ms (1.8%)

Counts

34 → 2

Calls

Call 1

Inputs
(/.f64 0 a)
(/.f64 (neg.f64 b_2) a)
(*.f64 -2 (/.f64 b_2 a))
(*.f64 1/2 (/.f64 c b_2))
(*.f64 b_2 (/.f64 -2 a))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 (/.f64 -2 a) b_2)
(/.f64 -2 (/.f64 a b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(/.f64 2 (/.f64 a b_2))
(/.f64 (*.f64 b_2 -2) a)
(/.f64 (*.f64 b_2 2) a)
(/.f64 (*.f64 c -1/2) b_2)
(/.f64 (+.f64 b_2 b_2) a)
(/.f64 (-.f64 b_2 b_2) a)
(-.f64 (+.f64 1 (*.f64 (/.f64 b_2 a) 2)) 1)
(/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)
(/.f64 (/.f64 -1/2 (/.f64 b_2 (*.f64 c a))) a)
(/.f64 (/.f64 (*.f64 c -1/2) (/.f64 b_2 a)) a)
(/.f64 (/.f64 (.f64 (.f64 -1/2 c) a) b_2) a)
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (/.f64 1/2 (/.f64 b_2 c)))
(+.f64 (/.f64 -2 (/.f64 a b_2)) (*.f64 1/2 (/.f64 c b_2)))
(+.f64 (/.f64 -2 (/.f64 a b_2)) (/.f64 1/2 (/.f64 b_2 c)))
(/.f64 (.f64 (/.f64 1 b_2) (.f64 -1/2 (*.f64 c a))) a)
(/.f64 (+.f64 (.f64 -2 b_2) (.f64 (/.f64 c (/.f64 b_2 a)) 1/2)) a)
(/.f64 (-.f64 (+.f64 b_2 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))) b_2) a)
(/.f64 (-.f64 (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2))) b_2) a)
(+.f64 (-.f64 (+.f64 1 (.f64 -2 (/.f64 b_2 a))) 1) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (-.f64 (+.f64 1 (*.f64 -2 (/.f64 b_2 a))) 1) (/.f64 1/2 (/.f64 b_2 c)))
(pow.f64 (*.f64 -2 (/.f64 b_2 c)) -1)
(pow.f64 (/.f64 -1/2 (/.f64 b_2 a)) -1)
(/.f64 (sqrt.f64 (.f64 4 (.f64 b_2 b_2))) a)
(/.f64 (-.f64 (sqrt.f64 (*.f64 b_2 b_2)) b_2) a)

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

Calls

3 calls:

108.0ms	c
94.0ms	a
31.0ms	b_2

Results

Error	Segments	Branch
34.6b	7	`a`
24.0b	2	`b_2`
33.7b	8	`c`

Compiler

Compiled 286 to 153 computations (46.5% saved)

bsearch28.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
28.0ms	-2.9557956960313976e-284	-7.857039965174634e-290

Results

16.0ms	144×	body	256	valid
10.0ms	83×	body	256	invalid

Compiler

Compiled 238 to 177 computations (25.6% saved)

regimes159.0ms (1.2%)

Counts

20 → 2

Calls

Call 1

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

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

Calls

3 calls:

68.0ms	c
68.0ms	a
19.0ms	b_2

Results

Error	Segments	Branch
34.7b	7	`a`
24.0b	2	`b_2`
34.0b	8	`c`

Compiler

Compiled 132 to 76 computations (42.4% saved)

bsearch20.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
20.0ms	4.266078753301467e-250	2.783695079514862e-248

Results

13.0ms	111×	body	256	valid
5.0ms	48×	body	256	invalid
0.0ms	1×	body	512	valid

Compiler

Compiled 148 to 113 computations (23.6% saved)

regimes166.0ms (1.3%)

Counts

12 → 2

Calls

Call 1

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

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

Calls

3 calls:

80.0ms	c
70.0ms	a
13.0ms	b_2

Results

Error	Segments	Branch
34.7b	7	`a`
24.1b	2	`b_2`
34.0b	8	`c`

Compiler

Compiled 72 to 45 computations (37.5% saved)

bsearch20.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
20.0ms	4.266078753301467e-250	2.783695079514862e-248

Results

13.0ms	110×	body	256	valid
5.0ms	49×	body	256	invalid
0.0ms	2×	body	512	valid

Compiler

Compiled 148 to 113 computations (23.6% saved)

regimes48.0ms (0.4%)

Counts

5 → 2

Calls

Call 1

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

Outputs
(*.f64 -2 (/.f64 b_2 a))
(/.f64 0 a)

Calls

3 calls:

12.0ms	c
8.0ms	b_2
4.0ms	a

Results

Error	Segments	Branch
46.1b	1	`a`
40.3b	2	`b_2`
44.9b	3	`c`

Compiler

Compiled 37 to 25 computations (32.4% saved)

bsearch54.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
54.0ms	-7.857039965174634e-290	4.0841533367167346e-306

Results

42.0ms	176×	body	256	valid
10.0ms	97×	body	256	invalid

Compiler

Compiled 198 to 158 computations (20.2% saved)

regimes13.0ms (0.1%)

Accuracy

Total -8.9b remaining (-16.6%)

Threshold costs -8.9b (-16.6%)

Counts

2 → 2

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	b_2
4.0ms	a
3.0ms	c

Results

Error	Segments	Branch
56.4b	1	`a`
53.5b	2	`b_2`
56.4b	1	`c`

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch32.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
32.0ms	-7.857039965174634e-290	4.0841533367167346e-306

Results

19.0ms	176×	body	256	valid
11.0ms	97×	body	256	invalid

Compiler

Compiled 187 to 147 computations (21.4% saved)

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	258
1	101	258
2	116	258
3	123	258
4	125	258

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 b_2 -9199999999999999701356977996523075290811963009548131327507315010429050027692902304929918996931690042243012236159624413184) (.f64 -2 (/.f64 b_2 a)) (if (<=.f64 b_2 5931188266773141/13479973333575319897333507543509815336818572211270286240551805124608) (/.f64 (-.f64 (sqrt.f64 (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 2 (fma.f64 a (neg.f64 c) (.f64 c a))))) b_2) a) (/.f64 (.f64 c -1/2) b_2)))
(if (<=.f64 b_2 -15999999999999999680055493558307218906700883086352136291018372989292358634038859607436630958879879036076417202897232592896) (.f64 -2 (/.f64 b_2 a)) (if (<=.f64 b_2 5054990000090745/1684996666696914987166688442938726917102321526408785780068975640576) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (/.f64 (.f64 c -1/2) b_2)))
(if (<=.f64 b_2 -4856672230564323/15177100720513508366558296147058741458143803430094840009779784451085189728165691392) (+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2))) (if (<=.f64 b_2 1696173182187249/3533694129556768659166595001485837031654967793751237916243212402585239552) (/.f64 (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2) a) (/.f64 (.f64 c -1/2) b_2)))
(if (<=.f64 b_2 -3511119404027961/43888992550349509466047490009497674160595141087458656560896015907649579054077383577321405596290902348906277802702976893959665470901957183225792829745965362396915989605680050116284721582335472197132100330098878361532751631431265351922342068003131649698083620772604076718737120590449149488485194416412164096) (+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2))) (/.f64 (*.f64 c -1/2) b_2))
(if (<=.f64 b_2 4836680888082873/8061134813471454564702450331367746071149403778627342561766978592325956765086744071570087522699847227396765060321916636335485039665263146015175460486800225477728068298324662539195732386420081192825687147647265448061340763744378078290380812053940375922997109693874176) (.f64 -2 (/.f64 b_2 a)) (/.f64 (.f64 c -1/2) b_2))
(if (<=.f64 b_2 362121290448913/31488807865122869393368946606905258090427358510263056881902260126273268613620094029570654385546278232018613516882486860685488436192434164121779142526563380772375266790330713043733329634453442159475340420497130656489612358376476868321800047085704593449207459741696) (.f64 -2 (/.f64 b_2 a)) (.f64 c (/.f64 -1/2 b_2)))
(if (<=.f64 b_2 -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696) (*.f64 -2 (/.f64 b_2 a)) (/.f64 0 a))
(if (<=.f64 b_2 -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696) (/.f64 (neg.f64 b_2) a) (/.f64 0 a))
(/.f64 0 a)

Outputs
(if (<=.f64 b_2 -9199999999999999701356977996523075290811963009548131327507315010429050027692902304929918996931690042243012236159624413184) (.f64 -2 (/.f64 b_2 a)) (if (<=.f64 b_2 5931188266773141/13479973333575319897333507543509815336818572211270286240551805124608) (/.f64 (-.f64 (sqrt.f64 (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 2 (fma.f64 a (neg.f64 c) (.f64 c a))))) b_2) a) (/.f64 (.f64 c -1/2) b_2)))
(if (<=.f64 b_2 -9199999999999999701356977996523075290811963009548131327507315010429050027692902304929918996931690042243012236159624413184) (.f64 -2 (/.f64 b_2 a)) (if (<=.f64 b_2 5931188266773141/13479973333575319897333507543509815336818572211270286240551805124608) (/.f64 (-.f64 (sqrt.f64 (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (.f64 2 (fma.f64 a (neg.f64 c) (.f64 a c))))) b_2) a) (/.f64 (.f64 c -1/2) b_2)))
(if (<=.f64 b_2 -15999999999999999680055493558307218906700883086352136291018372989292358634038859607436630958879879036076417202897232592896) (.f64 -2 (/.f64 b_2 a)) (if (<=.f64 b_2 5054990000090745/1684996666696914987166688442938726917102321526408785780068975640576) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (/.f64 (.f64 c -1/2) b_2)))
(if (<=.f64 b_2 -4856672230564323/15177100720513508366558296147058741458143803430094840009779784451085189728165691392) (+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2))) (if (<=.f64 b_2 1696173182187249/3533694129556768659166595001485837031654967793751237916243212402585239552) (/.f64 (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2) a) (/.f64 (.f64 c -1/2) b_2)))
(if (<=.f64 b_2 -4856672230564323/15177100720513508366558296147058741458143803430094840009779784451085189728165691392) (+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2))) (if (<=.f64 b_2 1696173182187249/3533694129556768659166595001485837031654967793751237916243212402585239552) (/.f64 (-.f64 (sqrt.f64 (.f64 a (neg.f64 c))) b_2) a) (/.f64 (.f64 c -1/2) b_2)))
(if (<=.f64 b_2 -3511119404027961/43888992550349509466047490009497674160595141087458656560896015907649579054077383577321405596290902348906277802702976893959665470901957183225792829745965362396915989605680050116284721582335472197132100330098878361532751631431265351922342068003131649698083620772604076718737120590449149488485194416412164096) (+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2))) (/.f64 (*.f64 c -1/2) b_2))
(if (<=.f64 b_2 4836680888082873/8061134813471454564702450331367746071149403778627342561766978592325956765086744071570087522699847227396765060321916636335485039665263146015175460486800225477728068298324662539195732386420081192825687147647265448061340763744378078290380812053940375922997109693874176) (.f64 -2 (/.f64 b_2 a)) (/.f64 (.f64 c -1/2) b_2))
(if (<=.f64 b_2 362121290448913/31488807865122869393368946606905258090427358510263056881902260126273268613620094029570654385546278232018613516882486860685488436192434164121779142526563380772375266790330713043733329634453442159475340420497130656489612358376476868321800047085704593449207459741696) (.f64 -2 (/.f64 b_2 a)) (.f64 c (/.f64 -1/2 b_2)))
(if (<=.f64 b_2 -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696) (*.f64 -2 (/.f64 b_2 a)) (/.f64 0 a))
(if (<=.f64 b_2 -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696) (/.f64 (neg.f64 b_2) a) (/.f64 0 a))
(/.f64 0 a)

Compiler

Compiled 204 to 137 computations (32.8% saved)

soundness827.0ms (6.2%)

Algorithm

5×	egg-herbie

Rules

861×	`fma-neg_binary64`
861×	`fma-neg_binary64`
808×	`fma-neg_binary64`
808×	`fma-neg_binary64`
808×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	20
1	23	18
2	42	18
3	77	18
4	123	18
5	218	18
6	370	18
7	586	18
8	957	18
9	1474	18
10	2004	18
11	3234	18
12	4125	18
13	4595	18
14	4603	18
15	4611	18
16	4637	18
17	4653	18
18	4689	18
19	4719	18
20	4731	18
0	11	20
1	23	18
2	42	18
3	77	18
4	123	18
5	218	18
6	370	18
7	586	18
8	957	18
9	1474	18
10	2004	18
11	3234	18
12	4125	18
13	4595	18
14	4603	18
15	4611	18
16	4637	18
17	4653	18
18	4689	18
19	4719	18
20	4731	18
0	810	11217
1	2017	10437
2	7240	10413
0	11	20
1	23	18
2	42	18
3	77	18
4	123	18
5	218	18
6	370	18
7	586	18
8	957	18
9	1474	18
10	2004	18
11	3234	18
12	4125	18
13	4595	18
14	4603	18
15	4611	18
16	4637	18
17	4653	18
18	4689	18
19	4719	18
20	4731	18
0	810	11217
1	2017	10437
2	7240	10413

Stop Event

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

Compiler

Compiled 251 to 149 computations (40.6% saved)

end119.0ms (0.9%)

Compiler: Compiled 180 to 102 computations (43.3% saved)