Details

analyze294.0ms (1.3%)

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 (7.9%)

Results

654.0ms	5629×	body	256	valid
407.0ms	1135×	body	2048	valid
230.0ms	704×	body	1024	valid
187.0ms	426×	body	4096	valid
128.0ms	1202×	body	256	invalid
71.0ms	362×	body	512	valid
39.0ms	349×	body	256	infinite

Bogosity

preprocess115.0ms (0.5%)

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)

simplify102.0ms (0.5%)

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

32.2b

Counts

4 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	32.2b	(/.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)
✓	0.4b	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	1.9b	(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)
✓	18.0b	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

Compiler

Compiled 49 to 9 computations (81.6% saved)

series303.0ms (1.4%)

Counts

4 → 0

Calls

36 calls:

Time	Variable		Point	Expression
2.0ms	b_2	@	inf	(/.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)))

Compiler

Compiled 19850 to 12200 computations (38.5% saved)

rewrite100.0ms (0.5%)

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

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

simplify137.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

764×	`fma-neg_binary64`
328×	`div-sub_binary64`
307×	`log-prod_binary64`
220×	`fma-def_binary64`
219×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	648	8107
1	1471	7446
2	5217	7410

Stop Event

1×	node limit

Counts

357 → 446

Calls

Call 1

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

eval132.0ms (0.6%)

Compiler: Compiled 10410 to 2755 computations (73.5% saved)

prune156.0ms (0.7%)

Pruning

40 alts after pruning (39 fresh and 1 done)

	Pruned	Kept	Total
New	407	39	446
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	407	40	447

Error

26.6b

Counts

447 → 40

Alt Table

Click to see full alt table

Status	Error	Program
	34.8b	(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)))
	34.4b	(fma.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) (/.f64 1 a) (neg.f64 (/.f64 b_2 a)))
	47.1b	(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)) (/.f64 (neg.f64 b_2) a))
	46.4b	(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)) (/.f64 (neg.f64 b_2) a))
	33.7b	(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)))
	49.2b	(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 (.f64 a (neg.f64 c))))) (cbrt.f64 a)) (/.f64 (neg.f64 b_2) a))
	47.3b	(fma.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) (sqrt.f64 a)) (/.f64 (neg.f64 b_2) a))
	47.2b	(fma.f64 (/.f64 1 (cbrt.f64 (.f64 a a))) (/.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))) (cbrt.f64 a)) (/.f64 (neg.f64 b_2) a))
	47.3b	(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)))
	37.7b	(fma.f64 (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))))) a) (/.f64 (neg.f64 b_2) a))
	31.1b	(pow.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2)) -1)
	33.7b	(/.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)
	51.1b	(/.f64 (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)) a)
	44.9b	(/.f64 (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)) a)
	51.8b	(/.f64 (fma.f64 (sqrt.f64 b_2) (neg.f64 (sqrt.f64 b_2)) (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))) a)
▶	37.6b	(/.f64 (fma.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))) (neg.f64 b_2)) a)
	44.7b	(/.f64 (/.f64 (-.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 (neg.f64 c)))))) a)
	44.0b	(/.f64 (/.f64 (+.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2) (pow.f64 (neg.f64 b_2) 3)) (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (-.f64 (pow.f64 (neg.f64 b_2) 2) (.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))) (neg.f64 b_2))))) a)
	42.7b	(/.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2) 1/3) b_2) a)
	32.8b	(/.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 2) b_2) a)
	34.4b	(/.f64 (-.f64 (pow.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))) 3) b_2) a)
▶	31.0b	(/.f64 (-.f64 (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2) b_2) a)
	33.3b	(/.f64 (-.f64 (sqrt.f64 (fma.f64 (pow.f64 (cbrt.f64 b_2) 2) (.f64 (cbrt.f64 b_2) b_2) (neg.f64 (.f64 a c)))) b_2) a)
	33.8b	(/.f64 (-.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 3)) b_2) a)
✓	32.2b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
	32.2b	(/.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)
	44.7b	(/.f64 (-.f64 (sqrt.f64 (.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))))) b_2) a)
▶	61.6b	(/.f64 (-.f64 (sqrt.f64 (log.f64 (exp.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) b_2) a)
	34.8b	(/.f64 (-.f64 (sqrt.f64 (expm1.f64 (log1p.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) b_2) a)
	48.4b	(/.f64 (-.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3))) b_2) a)
	35.5b	(/.f64 (-.f64 (exp.f64 (.f64 (log.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) 1/2)) b_2) a)
	36.2b	(/.f64 (-.f64 (exp.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))))) b_2) a)
	40.8b	(/.f64 (-.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2)) b_2) a)
▶	34.3b	(/.f64 (sqrt.f64 (pow.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2) 2)) a)
	33.1b	(/.f64 (exp.f64 (log.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2))) a)
	32.8b	(-.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) a) (/.f64 b_2 a))
	46.7b	(-.f64 (.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))) (/.f64 b_2 a))
	46.6b	(-.f64 (.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))) (sqrt.f64 a))) (/.f64 b_2 a))
	37.6b	(-.f64 (.f64 (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))))) a)) (/.f64 b_2 a))
▶	31.1b	(.f64 (/.f64 1 a) (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))) b_2))

Compiler

Compiled 1817 to 1071 computations (41.1% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2)
✓	0.1b	(/.f64 (-.f64 (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2) b_2) a)
✓	1.1b	(-.f64 (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2) b_2)
✓	12.1b	(sqrt.f64 (neg.f64 (*.f64 a c)))

Compiler

Compiled 45 to 9 computations (80% saved)

series664.0ms (3%)

Counts

4 → 0

Calls

33 calls:

Time	Variable		Point	Expression
26.0ms	a	@	inf	(-.f64 (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2) b_2)
5.0ms	a	@	inf	(/.f64 (-.f64 (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2) b_2) a)
4.0ms	a	@	-inf	(/.f64 (-.f64 (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2) b_2) a)
3.0ms	c	@	inf	(-.f64 (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2) b_2)
2.0ms	c	@	inf	(/.f64 (-.f64 (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2) b_2) a)

Compiler

Compiled 47770 to 32290 computations (32.4% saved)

rewrite101.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

814×	`prod-diff_binary64`
579×	`log-prod_binary64`
299×	`fma-def_binary64`
279×	`pow2_binary64`
195×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	50
1	225	42
2	3288	42

Stop Event

1×	node limit

Counts

4 → 323

Calls

Call 1

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

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

simplify165.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

535×	`times-frac_binary64`
432×	`fma-neg_binary64`
251×	`log-prod_binary64`
242×	`associate-+r+_binary64`
236×	`associate-+l+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	709	11106
1	1565	9348
2	5512	8970

Stop Event

1×	node limit

Counts

323 → 419

Calls

Call 1

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

localize14.0ms (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))))
✓	0.2b	(.f64 (/.f64 1 a) (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))) b_2))
✓	1.1b	(-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2)
	12.1b	(sqrt.f64 (neg.f64 (*.f64 a c)))

Compiler

Compiled 51 to 14 computations (72.5% saved)

series492.0ms (2.2%)

Counts

3 → 0

Calls

27 calls:

Time	Variable		Point	Expression
3.0ms	b_2	@	-inf	(.f64 (/.f64 1 a) (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))) b_2))
1.0ms	c	@	inf	(.f64 (/.f64 1 a) (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))) b_2))
1.0ms	c	@	-inf	(-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2)
1.0ms	c	@	inf	(-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2)
1.0ms	c	@	-inf	(.f64 (/.f64 1 a) (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))) b_2))

Compiler

Compiled 44090 to 30245 computations (31.4% saved)

rewrite67.0ms (0.3%)

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	42
1	254	36
2	3403	36

Stop Event

1×	node limit

Counts

3 → 167

Calls

Call 1

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

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

simplify68.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

519×	`unswap-sqr_binary64`
359×	`div-sub_binary64`
308×	`fma-neg_binary64`
284×	`associate-/l/_binary64`
176×	`log-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	335	3265
1	765	3203
2	2976	3092

Stop Event

1×	node limit

Counts

167 → 192

Calls

Call 1

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

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

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 (sqrt.f64 (log.f64 (exp.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) b_2) a)
	0.4b	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	0.8b	(-.f64 (sqrt.f64 (log.f64 (exp.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) b_2)
✓	2.4b	(log.f64 (exp.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))

Compiler

Compiled 72 to 11 computations (84.7% saved)

series122.0ms (0.6%)

Counts

3 → 0

Calls

27 calls:

Time	Variable		Point	Expression
0.0ms	a	@	inf	(/.f64 (-.f64 (sqrt.f64 (log.f64 (exp.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) b_2) a)
0.0ms	a	@	-inf	(/.f64 (-.f64 (sqrt.f64 (log.f64 (exp.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) b_2) a)
0.0ms	a	@	-inf	(-.f64 (sqrt.f64 (log.f64 (exp.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) b_2)
0.0ms	c	@	inf	(-.f64 (sqrt.f64 (log.f64 (exp.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) b_2)
0.0ms	a	@	inf	(-.f64 (sqrt.f64 (log.f64 (exp.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) b_2)

Compiler

Compiled 14140 to 8685 computations (38.6% saved)

rewrite89.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

712×	`fma-def_binary64`
667×	`log-prod_binary64`
344×	`fma-neg_binary64`
235×	`pow1/3_binary64`
230×	`expm1-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	43
1	263	43
2	3867	41

Stop Event

1×	node limit

Counts

3 → 324

Calls

Call 1

Inputs

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

(-.f64 (sqrt.f64 (log.f64 (exp.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) b_2)

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

Outputs

((#(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)) 0)))) (#(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 (*.f64 1/3 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (*.f64 2 (*.f64 1/3 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (*.f64 1/2 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (*.f64 1/3 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (*.f64 1/3 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))) (#(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 (*.f64 b_2 b_2) (*.f64 a c))))) (#(struct:change #<rule egg-rr> (2) 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simplify136.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

908×	`fma-neg_binary64`
381×	`log-prod_binary64`
286×	`fma-def_binary64`
273×	`cube-prod_binary64`
254×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	588	7711
1	1375	7250
2	5423	7210

Stop Event

1×	node limit

Counts

324 → 411

Calls

Call 1

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

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2) 2)
	1.1b	(-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2)
✓	7.7b	(sqrt.f64 (pow.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2) 2))
	12.1b	(sqrt.f64 (neg.f64 (*.f64 a c)))

Compiler

Compiled 72 to 18 computations (75% saved)

series735.0ms (3.3%)

Counts

2 → 0

Calls

18 calls:

Time	Variable		Point	Expression
12.0ms	a	@	inf	(pow.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2) 2)
5.0ms	a	@	inf	(sqrt.f64 (pow.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2) 2))
5.0ms	c	@	inf	(sqrt.f64 (pow.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2) 2))
5.0ms	b_2	@	inf	(sqrt.f64 (pow.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2) 2))
3.0ms	a	@	-inf	(sqrt.f64 (pow.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2) 2))

Compiler

Compiled 61170 to 43080 computations (29.6% saved)

rewrite65.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

651×	`prod-diff_binary64`
526×	`log-prod_binary64`
333×	`pow-prod-down_binary64`
272×	`pow2_binary64`
268×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	31
1	260	27
2	3101	27

Stop Event

1×	node limit

Counts

2 → 136

Calls

Call 1

Inputs
(sqrt.f64 (pow.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2) 2))
(pow.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2) 2)

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

simplify81.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

293×	`times-frac_binary64`
286×	`associate-/l*_binary64`
262×	`exp-prod_binary64`
260×	`associate-+l+_binary64`
220×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	274	2760
1	606	2688
2	2087	2566
3	6945	2566

Stop Event

1×	node limit

Counts

136 → 158

Calls

Call 1

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

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

localize25.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))
✓	11.3b	(fma.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))) (neg.f64 b_2))
✓	12.1b	(sqrt.f64 (*.f64 a (neg.f64 c)))
✓	18.7b	(cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

Compiler

Compiled 95 to 15 computations (84.2% saved)

series959.0ms (4.4%)

Counts

4 → 0

Calls

33 calls:

Time	Variable		Point	Expression
36.0ms	a	@	0	(fma.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))) (neg.f64 b_2))
4.0ms	c	@	-inf	(cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))
4.0ms	a	@	inf	(fma.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))) (neg.f64 b_2))
4.0ms	c	@	inf	(fma.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))) (neg.f64 b_2))
3.0ms	a	@	inf	(cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))

Compiler

Compiled 62100 to 46485 computations (25.1% saved)

rewrite60.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

589×	`log-prod_binary64`
435×	`fma-def_binary64`
301×	`pow2_binary64`
290×	`pow-unpow_binary64`
207×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	63
1	323	39
2	4198	39

Stop Event

1×	node limit

Counts

4 → 121

Calls

Call 1

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

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

simplify67.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

674×	`fma-def_binary64`
450×	`unswap-sqr_binary64`
426×	`log-prod_binary64`
345×	`distribute-rgt-in_binary64`
302×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	259	1625
1	523	1517
2	1692	1513
3	7300	1513

Stop Event

1×	node limit

Counts

121 → 147

Calls

Call 1

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

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

eval429.0ms (2%)

Compiler: Compiled 43629 to 11731 computations (73.1% saved)

prune658.0ms (3%)

Pruning

63 alts after pruning (59 fresh and 4 done)

	Pruned	Kept	Total
New	1693	35	1728
Fresh	10	24	34
Picked	0	1	1
Done	2	3	5
Total	1705	63	1768

Error

17.7b

Counts

1768 → 63

Alt Table

Click to see full alt table

Status	Error	Program
	34.8b	(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)))
	55.3b	(fma.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2) (/.f64 1 a) (neg.f64 (/.f64 b_2 a)))
	55.4b	(fma.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) (/.f64 1 a) (.f64 (neg.f64 b_2) (/.f64 1 a)))
	34.4b	(fma.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) (/.f64 1 a) (neg.f64 (/.f64 b_2 a)))
▶	34.2b	(fma.f64 (/.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) (cbrt.f64 a)) (/.f64 (neg.f64 b_2) a))
	47.1b	(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)) (/.f64 (neg.f64 b_2) a))
	46.4b	(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)) (/.f64 (neg.f64 b_2) a))
	33.7b	(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)))
	60.9b	(fma.f64 (/.f64 (cbrt.f64 (fma.f64 a c (.f64 b_2 b_2))) (cbrt.f64 (.f64 a a))) (/.f64 (cbrt.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)) (cbrt.f64 a)) (/.f64 (neg.f64 b_2) a))
	47.2b	(fma.f64 (/.f64 1 (cbrt.f64 (.f64 a a))) (/.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))) (cbrt.f64 a)) (/.f64 (neg.f64 b_2) a))
	37.7b	(fma.f64 (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))))) a) (/.f64 (neg.f64 b_2) a))
▶	31.1b	(pow.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2)) -1)
	33.7b	(/.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)
	51.1b	(/.f64 (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)) a)
	51.9b	(/.f64 (fma.f64 (sqrt.f64 (cbrt.f64 (fma.f64 b_2 b_2 (.f64 a c)))) (cbrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) (neg.f64 b_2)) a)
	44.9b	(/.f64 (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)) a)
	63.7b	(/.f64 (fma.f64 (sqrt.f64 b_2) (neg.f64 (sqrt.f64 b_2)) (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)) a)
✓	37.6b	(/.f64 (fma.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))) (neg.f64 b_2)) a)
	58.1b	(/.f64 (fma.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c)))) (cbrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) (neg.f64 b_2)) a)
	45.8b	(/.f64 (/.f64 (fma.f64 b_2 (neg.f64 b_2) (fma.f64 b_2 b_2 (.f64 a c))) (-.f64 (neg.f64 b_2) (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))) a)
	44.7b	(/.f64 (/.f64 (-.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (.f64 (neg.f64 b_2) (neg.f64 b_2))) (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))) (neg.f64 b_2))) a)
	44.0b	(/.f64 (/.f64 (+.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2) (pow.f64 (neg.f64 b_2) 3)) (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (-.f64 (.f64 (neg.f64 b_2) (neg.f64 b_2)) (.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) (neg.f64 b_2))))) a)
	42.7b	(/.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2) 1/3) b_2) a)
	32.8b	(/.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 2) b_2) a)
	34.4b	(/.f64 (-.f64 (pow.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))) 3) b_2) a)
	47.7b	(/.f64 (-.f64 (hypot.f64 (*.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c)) b_2) b_2) a)
	58.2b	(/.f64 (-.f64 (hypot.f64 (*.f64 (sqrt.f64 c) (sqrt.f64 a)) b_2) b_2) a)
	45.2b	(/.f64 (-.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 c))) b_2) b_2) a)
	52.0b	(/.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2) b_2) a)
✓	31.0b	(/.f64 (-.f64 (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2) b_2) a)
	33.3b	(/.f64 (-.f64 (sqrt.f64 (fma.f64 (pow.f64 (cbrt.f64 b_2) 2) (.f64 (cbrt.f64 b_2) b_2) (neg.f64 (.f64 a c)))) b_2) a)
	33.8b	(/.f64 (-.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 3)) b_2) a)
✓	32.2b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
	32.2b	(/.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)
	32.3b	(/.f64 (-.f64 (sqrt.f64 (.f64 3 (.f64 1/3 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) b_2) a)
▶	32.5b	(/.f64 (-.f64 (sqrt.f64 (.f64 1/3 (.f64 3 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) b_2) a)
	34.8b	(/.f64 (-.f64 (sqrt.f64 (expm1.f64 (log1p.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) b_2) a)
	35.5b	(/.f64 (-.f64 (exp.f64 (.f64 (log.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) 1/2)) b_2) a)
	40.8b	(/.f64 (-.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2)) b_2) a)
	63.5b	(/.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) a)
	33.1b	(/.f64 (exp.f64 (log.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2))) a)
	32.8b	(-.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) a) (/.f64 b_2 a))
▶	46.7b	(-.f64 (.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))) (/.f64 b_2 a))
	58.1b	(-.f64 (.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2) (sqrt.f64 a))) (/.f64 b_2 a))
	46.6b	(-.f64 (.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))) (sqrt.f64 a))) (/.f64 b_2 a))
	58.9b	(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2) a)) 2) (cbrt.f64 (/.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2) a)) (neg.f64 (.f64 (/.f64 b_2 (sqrt.f64 a)) (/.f64 1 (sqrt.f64 a))))) (fma.f64 (neg.f64 (/.f64 b_2 (sqrt.f64 a))) (/.f64 1 (sqrt.f64 a)) (.f64 (/.f64 b_2 (sqrt.f64 a)) (/.f64 1 (sqrt.f64 a)))))
	63.7b	(+.f64 (fma.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2) (/.f64 1 a) (neg.f64 (.f64 (/.f64 (sqrt.f64 b_2) a) (/.f64 (sqrt.f64 b_2) 1)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 b_2) a)) (/.f64 (sqrt.f64 b_2) 1) (*.f64 (/.f64 (sqrt.f64 b_2) a) (/.f64 (sqrt.f64 b_2) 1))))
	55.4b	(+.f64 (fma.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2) (/.f64 1 a) (neg.f64 (.f64 (/.f64 (cbrt.f64 b_2) a) (/.f64 (pow.f64 (cbrt.f64 b_2) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 b_2) a)) (/.f64 (pow.f64 (cbrt.f64 b_2) 2) 1) (*.f64 (/.f64 (cbrt.f64 b_2) a) (/.f64 (pow.f64 (cbrt.f64 b_2) 2) 1))))
	61.9b	(+.f64 (fma.f64 (/.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2)) (cbrt.f64 (.f64 a a))) (/.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2)) (cbrt.f64 a)) (neg.f64 (.f64 (/.f64 b_2 (sqrt.f64 a)) (/.f64 1 (sqrt.f64 a))))) (fma.f64 (neg.f64 (/.f64 b_2 (sqrt.f64 a))) (/.f64 1 (sqrt.f64 a)) (*.f64 (/.f64 b_2 (sqrt.f64 a)) (/.f64 1 (sqrt.f64 a)))))
	55.4b	(+.f64 (fma.f64 (/.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2)) 1) (/.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2)) a) (neg.f64 (.f64 (/.f64 1 a) b_2))) (fma.f64 (neg.f64 (/.f64 1 a)) b_2 (.f64 (/.f64 1 a) b_2)))
	60.9b	(+.f64 (fma.f64 (/.f64 (neg.f64 b_2) (cbrt.f64 a)) (/.f64 1 (cbrt.f64 (.f64 a a))) (/.f64 (.f64 (/.f64 b_2 (cbrt.f64 a)) 1) (cbrt.f64 (.f64 a a)))) (fma.f64 (cbrt.f64 (fma.f64 a c (.f64 b_2 b_2))) (/.f64 (cbrt.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2)) a) (.f64 (/.f64 b_2 (cbrt.f64 a)) (neg.f64 (/.f64 1 (cbrt.f64 (*.f64 a a)))))))
	60.9b	(+.f64 (fma.f64 (/.f64 (cbrt.f64 (fma.f64 a c (.f64 b_2 b_2))) (cbrt.f64 (.f64 a a))) (/.f64 (cbrt.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2)) (cbrt.f64 a)) (neg.f64 (.f64 (cbrt.f64 (/.f64 b_2 a)) (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 b_2 a))) (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 2) (*.f64 (cbrt.f64 (/.f64 b_2 a)) (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 2))))
	63.7b	(+.f64 (fma.f64 (/.f64 (cbrt.f64 (fma.f64 a c (.f64 b_2 b_2))) 1) (/.f64 (cbrt.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2)) a) (neg.f64 (.f64 (/.f64 (sqrt.f64 b_2) a) (/.f64 (sqrt.f64 b_2) 1)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 b_2) a)) (/.f64 (sqrt.f64 b_2) 1) (.f64 (/.f64 (sqrt.f64 b_2) a) (/.f64 (sqrt.f64 b_2) 1))))
	63.7b	(+.f64 (fma.f64 (/.f64 1 (cbrt.f64 (.f64 a a))) (/.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2) (cbrt.f64 a)) (neg.f64 (.f64 (/.f64 (sqrt.f64 b_2) (cbrt.f64 a)) (/.f64 (sqrt.f64 b_2) (cbrt.f64 (.f64 a a)))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 b_2) (cbrt.f64 a))) (/.f64 (sqrt.f64 b_2) (cbrt.f64 (.f64 a a))) (.f64 (/.f64 (sqrt.f64 b_2) (cbrt.f64 a)) (/.f64 (sqrt.f64 b_2) (cbrt.f64 (*.f64 a a))))))
	58.9b	(+.f64 (fma.f64 (/.f64 -1 a) b_2 (.f64 b_2 (/.f64 1 a))) (fma.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2) (sqrt.f64 a)) (*.f64 (/.f64 -1 a) b_2)))
	58.2b	(+.f64 (fma.f64 (/.f64 -1 a) b_2 (.f64 b_2 (/.f64 1 a))) (fma.f64 (cbrt.f64 (fma.f64 a c (.f64 b_2 b_2))) (/.f64 (cbrt.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2)) a) (.f64 (/.f64 -1 a) b_2)))
	58.8b	(+.f64 (fma.f64 (sqrt.f64 (/.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2) a)) (sqrt.f64 (/.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2) a)) (neg.f64 (.f64 (/.f64 1 a) b_2))) (fma.f64 (neg.f64 (/.f64 1 a)) b_2 (.f64 (/.f64 1 a) b_2)))
	63.7b	(+.f64 (fma.f64 1 (/.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2) a) (neg.f64 (.f64 (/.f64 (sqrt.f64 b_2) a) (/.f64 (sqrt.f64 b_2) 1)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 b_2) a)) (/.f64 (sqrt.f64 b_2) 1) (*.f64 (/.f64 (sqrt.f64 b_2) a) (/.f64 (sqrt.f64 b_2) 1))))
	55.4b	(+.f64 (fma.f64 1 (/.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2) a) (neg.f64 (.f64 (/.f64 1 a) b_2))) (fma.f64 (neg.f64 (/.f64 1 a)) b_2 (*.f64 (/.f64 1 a) b_2)))
	63.7b	(.f64 (/.f64 1 a) (fma.f64 (sqrt.f64 b_2) (neg.f64 (sqrt.f64 b_2)) (hypot.f64 b_2 (sqrt.f64 (.f64 a c)))))
	58.2b	(.f64 (/.f64 1 a) (fma.f64 (neg.f64 (cbrt.f64 (.f64 b_2 b_2))) (cbrt.f64 b_2) (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))
▶	47.7b	(.f64 (/.f64 1 a) (-.f64 (hypot.f64 b_2 (.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c))) b_2))
✓	31.1b	(.f64 (/.f64 1 a) (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))) b_2))

Compiler

Compiled 3395 to 1920 computations (43.4% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2))
✓	0.1b	(pow.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2)) -1)
	1.1b	(-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2)
	12.1b	(sqrt.f64 (neg.f64 (*.f64 a c)))

Compiler

Compiled 59 to 12 computations (79.7% saved)

series1.2s (5.5%)

Counts

2 → 0

Calls

18 calls:

Time	Variable		Point	Expression
15.0ms	a	@	inf	(pow.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2)) -1)
12.0ms	c	@	inf	(pow.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2)) -1)
6.0ms	a	@	-inf	(pow.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2)) -1)
4.0ms	b_2	@	inf	(pow.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2)) -1)
3.0ms	c	@	-inf	(pow.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2)) -1)

Compiler

Compiled 80700 to 55735 computations (30.9% saved)

rewrite60.0ms (0.3%)

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

((#(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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*.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))))))

simplify78.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

571×	`associate-/l*_binary64`
549×	`associate-/r*_binary64`
397×	`fma-def_binary64`
337×	`distribute-rgt-in_binary64`
335×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	208	1556
1	492	1507
2	1700	1489

Stop Event

1×	node limit

Counts

87 → 103

Calls

Call 1

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

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 1/3 (.f64 3 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
	0.4b	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	1.9b	(-.f64 (sqrt.f64 (.f64 1/3 (.f64 3 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) b_2)
✓	18.0b	(sqrt.f64 (.f64 1/3 (.f64 3 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))

Compiler

Compiled 83 to 32 computations (61.4% saved)

series138.0ms (0.6%)

Counts

3 → 0

Calls

27 calls:

Time	Variable		Point	Expression
6.0ms	b_2	@	0	(sqrt.f64 (.f64 1/3 (.f64 3 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))
0.0ms	c	@	-inf	(sqrt.f64 (.f64 1/3 (.f64 3 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))
0.0ms	a	@	-inf	(sqrt.f64 (.f64 1/3 (.f64 3 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))
0.0ms	c	@	inf	(sqrt.f64 (.f64 1/3 (.f64 3 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))
0.0ms	c	@	inf	(-.f64 (sqrt.f64 (.f64 1/3 (.f64 3 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) b_2)

Compiler

Compiled 13270 to 8200 computations (38.2% saved)

rewrite70.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

649×	`log-prod_binary64`
386×	`fma-neg_binary64`
343×	`pow2_binary64`
235×	`expm1-udef_binary64`
235×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	37
1	297	37
2	3775	35

Stop Event

1×	node limit

Counts

3 → 171

Calls

Call 1

Inputs

(sqrt.f64 (*.f64 1/3 (*.f64 3 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))

(-.f64 (sqrt.f64 (*.f64 1/3 (*.f64 3 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) b_2)

(*.f64 1/3 (*.f64 3 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))

Outputs

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

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

simplify96.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

639×	`fma-neg_binary64`
422×	`unswap-sqr_binary64`
390×	`cancel-sign-sub-inv_binary64`
269×	`times-frac_binary64`
187×	`div-sub_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	382	3068
1	886	2931
2	3247	2788

Stop Event

1×	node limit

Counts

171 → 219

Calls

Call 1

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

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

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 55 to 15 computations (72.7% saved)

series724.0ms (3.3%)

Counts

4 → 0

Calls

33 calls:

Time	Variable		Point	Expression
23.0ms	c	@	inf	(.f64 (/.f64 1 a) (-.f64 (hypot.f64 b_2 (.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c))) b_2))
3.0ms	a	@	inf	(.f64 (/.f64 1 a) (-.f64 (hypot.f64 b_2 (.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c))) b_2))
3.0ms	a	@	inf	(-.f64 (hypot.f64 b_2 (*.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c))) b_2)
2.0ms	c	@	inf	(-.f64 (hypot.f64 b_2 (*.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c))) b_2)
2.0ms	a	@	-inf	(.f64 (/.f64 1 a) (-.f64 (hypot.f64 b_2 (.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c))) b_2))

Compiler

Compiled 46170 to 31815 computations (31.1% saved)

rewrite97.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

595×	`log-prod_binary64`
496×	`prod-diff_binary64`
308×	`pow2_binary64`
233×	`fma-def_binary64`
227×	`pow-unpow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	50
1	271	42
2	3564	42

Stop Event

1×	node limit

Counts

4 → 188

Calls

Call 1

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

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

simplify77.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

500×	`associate-/r*_binary64`
332×	`fma-neg_binary64`
301×	`div-sub_binary64`
246×	`log-prod_binary64`
219×	`associate-/r/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	370	3286
1	825	3203
2	3132	3190

Stop Event

1×	node limit

Counts

188 → 209

Calls

Call 1

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

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

localize35.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.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)))
	0.4b	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	10.4b	(-.f64 (.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))) (/.f64 b_2 a))
✓	18.5b	(pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4)

Compiler

Compiled 100 to 29 computations (71% saved)

series973.0ms (4.4%)

Counts

3 → 0

Calls

27 calls:

Time	Variable		Point	Expression
17.0ms	b_2	@	inf	(.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)))
17.0ms	c	@	0	(pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4)
6.0ms	c	@	inf	(-.f64 (.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))) (/.f64 b_2 a))
6.0ms	a	@	0	(-.f64 (.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))) (/.f64 b_2 a))
5.0ms	a	@	-inf	(-.f64 (.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))) (/.f64 b_2 a))

Compiler

Compiled 62600 to 49065 computations (21.6% saved)

rewrite84.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

827×	`log-prod_binary64`
590×	`fma-def_binary64`
300×	`fma-neg_binary64`
282×	`expm1-udef_binary64`
282×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	61
1	333	46
2	4893	44

Stop Event

1×	node limit

Counts

3 → 202

Calls

Call 1

Inputs

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

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

(*.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)))

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

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1))))))

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

simplify110.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

444×	`distribute-rgt-in_binary64`
401×	`fma-neg_binary64`
378×	`div-sub_binary64`
349×	`unswap-sqr_binary64`
233×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	419	5870
1	1000	5070
2	3285	4963

Stop Event

1×	node limit

Counts

202 → 249

Calls

Call 1

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

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

localize40.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(pow.f64 (cbrt.f64 a) 2)
✓	0.6b	(cbrt.f64 a)
	18.5b	(pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4)
✓	21.2b	(fma.f64 (/.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) (cbrt.f64 a)) (/.f64 (neg.f64 b_2) a))

Compiler

Compiled 99 to 32 computations (67.7% saved)

series520.0ms (2.4%)

Counts

3 → 0

Calls

15 calls:

Time	Variable		Point	Expression
11.0ms	a	@	inf	(fma.f64 (/.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) (cbrt.f64 a)) (/.f64 (neg.f64 b_2) a))
9.0ms	a	@	-inf	(fma.f64 (/.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) (cbrt.f64 a)) (/.f64 (neg.f64 b_2) a))
9.0ms	a	@	-inf	(cbrt.f64 a)
5.0ms	a	@	0	(fma.f64 (/.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) (cbrt.f64 a)) (/.f64 (neg.f64 b_2) a))
3.0ms	c	@	inf	(fma.f64 (/.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) (cbrt.f64 a)) (/.f64 (neg.f64 b_2) a))

Compiler

Compiled 44345 to 35280 computations (20.4% saved)

rewrite70.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

876×	`log-prod_binary64`
414×	`fma-def_binary64`
307×	`expm1-udef_binary64`
307×	`log1p-udef_binary64`
261×	`log-pow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	56
1	390	30
2	5290	29

Stop Event

1×	node limit

Counts

3 → 79

Calls

Call 1

Inputs

(fma.f64 (/.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) (cbrt.f64 a)) (/.f64 (neg.f64 b_2) a))

(cbrt.f64 a)

(pow.f64 (cbrt.f64 a) 2)

Outputs

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

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

simplify51.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

475×	`fma-def_binary64`
352×	`exp-prod_binary64`
331×	`associate-/l*_binary64`
287×	`times-frac_binary64`
284×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	177	1125
1	338	1081
2	1128	1026
3	4624	1012

Stop Event

1×	node limit

Counts

79 → 96

Calls

Call 1

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

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

eval551.0ms (2.5%)

Compiler: Compiled 51778 to 15145 computations (70.8% saved)

prune702.0ms (3.2%)

Pruning

54 alts after pruning (48 fresh and 6 done)

	Pruned	Kept	Total
New	1751	15	1766
Fresh	21	33	54
Picked	0	1	1
Done	3	5	8
Total	1775	54	1829

Error

11.5b

Counts

1829 → 54

Alt Table

Click to see full alt table

Status	Error	Program
	33.7b	(fma.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) a) (/.f64 (neg.f64 b_2) a))
	55.3b	(fma.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2) (/.f64 1 a) (neg.f64 (/.f64 b_2 a)))
	55.4b	(fma.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) (/.f64 1 a) (.f64 (neg.f64 b_2) (/.f64 1 a)))
✓	34.2b	(fma.f64 (/.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) (cbrt.f64 a)) (/.f64 (neg.f64 b_2) a))
	38.9b	(fma.f64 (/.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) (sqrt.f64 (.f64 a (cbrt.f64 a)))) (/.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)) 1/4) (cbrt.f64 a)) (/.f64 (neg.f64 b_2) a))
	47.1b	(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)) (/.f64 (neg.f64 b_2) a))
	60.9b	(fma.f64 (/.f64 (cbrt.f64 (fma.f64 a c (.f64 b_2 b_2))) (cbrt.f64 (.f64 a a))) (/.f64 (cbrt.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)) (cbrt.f64 a)) (/.f64 (neg.f64 b_2) a))
	34.2b	(fma.f64 (neg.f64 b_2) (/.f64 1 a) (/.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) a))
▶	45.3b	(pow.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (*.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 c)))) b_2)) -1)
	33.7b	(/.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)
	51.1b	(/.f64 (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)) a)
	63.7b	(/.f64 (fma.f64 (sqrt.f64 b_2) (neg.f64 (sqrt.f64 b_2)) (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)) a)
	33.7b	(/.f64 (fma.f64 (sqrt.f64 1/3) (sqrt.f64 (.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)) 3)) (neg.f64 b_2)) a)
	33.9b	(/.f64 (fma.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) (sqrt.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (neg.f64 b_2)) a)
	62.6b	(/.f64 (/.f64 (-.f64 (fma.f64 b_2 b_2 (.f64 a c)) (.f64 b_2 b_2)) (-.f64 (neg.f64 b_2) (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))) a)
	36.3b	(/.f64 (/.f64 (.f64 c (neg.f64 a)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))))) a)
	42.7b	(/.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2) 1/3) b_2) a)
	32.8b	(/.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 2) b_2) a)
	47.7b	(/.f64 (-.f64 (hypot.f64 (*.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c)) b_2) b_2) a)
	58.2b	(/.f64 (-.f64 (hypot.f64 (*.f64 (sqrt.f64 c) (sqrt.f64 a)) b_2) b_2) a)
	45.2b	(/.f64 (-.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 c))) b_2) b_2) a)
	52.0b	(/.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2) b_2) a)
✓	31.0b	(/.f64 (-.f64 (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2) b_2) a)
	33.1b	(/.f64 (-.f64 (.f64 (sqrt.f64 1/3) (sqrt.f64 (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3))) b_2) a)
	33.8b	(/.f64 (-.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 3)) b_2) a)
✓	32.2b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
▶	32.2b	(/.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)
✓	32.5b	(/.f64 (-.f64 (sqrt.f64 (.f64 1/3 (.f64 3 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) b_2) a)
	35.5b	(/.f64 (-.f64 (exp.f64 (.f64 (log.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) 1/2)) b_2) a)
	40.8b	(/.f64 (-.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3/2)) b_2) a)
	63.5b	(/.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) a)
▶	33.2b	(-.f64 (/.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) (/.f64 a (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4))) (/.f64 b_2 a))
▶	32.4b	(-.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a) (/.f64 b_2 a))
	33.3b	(-.f64 (/.f64 1 (/.f64 a (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) (/.f64 b_2 a))
	55.8b	(-.f64 (sqrt.f64 (/.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (*.f64 a a))) (/.f64 b_2 a))
	58.9b	(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2) a)) 2) (cbrt.f64 (/.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2) a)) (neg.f64 (.f64 (/.f64 b_2 (sqrt.f64 a)) (/.f64 1 (sqrt.f64 a))))) (fma.f64 (neg.f64 (/.f64 b_2 (sqrt.f64 a))) (/.f64 1 (sqrt.f64 a)) (.f64 (/.f64 b_2 (sqrt.f64 a)) (/.f64 1 (sqrt.f64 a)))))
	63.7b	(+.f64 (fma.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2) (/.f64 1 a) (neg.f64 (.f64 (/.f64 (sqrt.f64 b_2) a) (/.f64 (sqrt.f64 b_2) 1)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 b_2) a)) (/.f64 (sqrt.f64 b_2) 1) (*.f64 (/.f64 (sqrt.f64 b_2) a) (/.f64 (sqrt.f64 b_2) 1))))
	55.4b	(+.f64 (fma.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2) (/.f64 1 a) (neg.f64 (.f64 (/.f64 (cbrt.f64 b_2) a) (/.f64 (pow.f64 (cbrt.f64 b_2) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 b_2) a)) (/.f64 (pow.f64 (cbrt.f64 b_2) 2) 1) (*.f64 (/.f64 (cbrt.f64 b_2) a) (/.f64 (pow.f64 (cbrt.f64 b_2) 2) 1))))
	61.9b	(+.f64 (fma.f64 (/.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2)) (cbrt.f64 (.f64 a a))) (/.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2)) (cbrt.f64 a)) (neg.f64 (.f64 (/.f64 b_2 (sqrt.f64 a)) (/.f64 1 (sqrt.f64 a))))) (fma.f64 (neg.f64 (/.f64 b_2 (sqrt.f64 a))) (/.f64 1 (sqrt.f64 a)) (*.f64 (/.f64 b_2 (sqrt.f64 a)) (/.f64 1 (sqrt.f64 a)))))
▶	55.4b	(+.f64 (fma.f64 (/.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2)) 1) (/.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2)) a) (neg.f64 (.f64 (/.f64 1 a) b_2))) (fma.f64 (neg.f64 (/.f64 1 a)) b_2 (.f64 (/.f64 1 a) b_2)))
	60.9b	(+.f64 (fma.f64 (/.f64 (neg.f64 b_2) (cbrt.f64 a)) (/.f64 1 (cbrt.f64 (.f64 a a))) (/.f64 (.f64 (/.f64 b_2 (cbrt.f64 a)) 1) (cbrt.f64 (.f64 a a)))) (fma.f64 (cbrt.f64 (fma.f64 a c (.f64 b_2 b_2))) (/.f64 (cbrt.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2)) a) (.f64 (/.f64 b_2 (cbrt.f64 a)) (neg.f64 (/.f64 1 (cbrt.f64 (*.f64 a a)))))))
	60.9b	(+.f64 (fma.f64 (/.f64 (cbrt.f64 (fma.f64 a c (.f64 b_2 b_2))) (cbrt.f64 (.f64 a a))) (/.f64 (cbrt.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2)) (cbrt.f64 a)) (neg.f64 (.f64 (cbrt.f64 (/.f64 b_2 a)) (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 b_2 a))) (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 2) (*.f64 (cbrt.f64 (/.f64 b_2 a)) (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 2))))
	63.7b	(+.f64 (fma.f64 (/.f64 (cbrt.f64 (fma.f64 a c (.f64 b_2 b_2))) 1) (/.f64 (cbrt.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2)) a) (neg.f64 (.f64 (/.f64 (sqrt.f64 b_2) a) (/.f64 (sqrt.f64 b_2) 1)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 b_2) a)) (/.f64 (sqrt.f64 b_2) 1) (.f64 (/.f64 (sqrt.f64 b_2) a) (/.f64 (sqrt.f64 b_2) 1))))
	63.7b	(+.f64 (fma.f64 (/.f64 1 (cbrt.f64 (.f64 a a))) (/.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2) (cbrt.f64 a)) (neg.f64 (.f64 (/.f64 (sqrt.f64 b_2) (cbrt.f64 a)) (/.f64 (sqrt.f64 b_2) (cbrt.f64 (.f64 a a)))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 b_2) (cbrt.f64 a))) (/.f64 (sqrt.f64 b_2) (cbrt.f64 (.f64 a a))) (.f64 (/.f64 (sqrt.f64 b_2) (cbrt.f64 a)) (/.f64 (sqrt.f64 b_2) (cbrt.f64 (*.f64 a a))))))
	58.9b	(+.f64 (fma.f64 (/.f64 -1 a) b_2 (.f64 b_2 (/.f64 1 a))) (fma.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2) (sqrt.f64 a)) (*.f64 (/.f64 -1 a) b_2)))
	58.2b	(+.f64 (fma.f64 (/.f64 -1 a) b_2 (.f64 b_2 (/.f64 1 a))) (fma.f64 (cbrt.f64 (fma.f64 a c (.f64 b_2 b_2))) (/.f64 (cbrt.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2)) a) (.f64 (/.f64 -1 a) b_2)))
	58.8b	(+.f64 (fma.f64 (sqrt.f64 (/.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2) a)) (sqrt.f64 (/.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2) a)) (neg.f64 (.f64 (/.f64 1 a) b_2))) (fma.f64 (neg.f64 (/.f64 1 a)) b_2 (.f64 (/.f64 1 a) b_2)))
	63.7b	(+.f64 (fma.f64 1 (/.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2) a) (neg.f64 (.f64 (/.f64 (sqrt.f64 b_2) a) (/.f64 (sqrt.f64 b_2) 1)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 b_2) a)) (/.f64 (sqrt.f64 b_2) 1) (*.f64 (/.f64 (sqrt.f64 b_2) a) (/.f64 (sqrt.f64 b_2) 1))))
	55.4b	(+.f64 (fma.f64 1 (/.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2) a) (neg.f64 (.f64 (/.f64 1 a) b_2))) (fma.f64 (neg.f64 (/.f64 1 a)) b_2 (*.f64 (/.f64 1 a) b_2)))
	46.5b	(+.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) a) (/.f64 b_2 a))
	63.7b	(.f64 (/.f64 1 a) (fma.f64 (sqrt.f64 b_2) (neg.f64 (sqrt.f64 b_2)) (hypot.f64 b_2 (sqrt.f64 (.f64 a c)))))
	58.2b	(.f64 (/.f64 1 a) (fma.f64 (neg.f64 (cbrt.f64 (.f64 b_2 b_2))) (cbrt.f64 b_2) (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))
✓	47.7b	(.f64 (/.f64 1 a) (-.f64 (hypot.f64 b_2 (.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c))) b_2))
✓	31.1b	(.f64 (/.f64 1 a) (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))) b_2))

Compiler

Compiled 2845 to 1598 computations (43.8% saved)

localize26.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	1.9b	(-.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)
✓	18.0b	(sqrt.f64 (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (.f64 2 (fma.f64 a (neg.f64 c) (.f64 a c)))))
✓	52.9b	(fma.f64 a (neg.f64 c) (*.f64 a c))

Compiler

Compiled 115 to 29 computations (74.8% saved)

series172.0ms (0.8%)

Counts

3 → 0

Calls

24 calls:

Time	Variable		Point	Expression
4.0ms	b_2	@	0	(sqrt.f64 (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (.f64 2 (fma.f64 a (neg.f64 c) (.f64 a c)))))
1.0ms	c	@	-inf	(sqrt.f64 (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (.f64 2 (fma.f64 a (neg.f64 c) (.f64 a c)))))
1.0ms	a	@	inf	(sqrt.f64 (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (.f64 2 (fma.f64 a (neg.f64 c) (.f64 a c)))))
1.0ms	c	@	inf	(sqrt.f64 (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (.f64 2 (fma.f64 a (neg.f64 c) (.f64 a c)))))
1.0ms	a	@	-inf	(sqrt.f64 (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (.f64 2 (fma.f64 a (neg.f64 c) (.f64 a c)))))

Compiler

Compiled 22170 to 15015 computations (32.3% saved)

rewrite73.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

724×	`log-prod_binary64`
531×	`fma-neg_binary64`
264×	`expm1-udef_binary64`
264×	`log1p-udef_binary64`
217×	`log-pow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	67
1	326	50
2	4903	28

Stop Event

1×	node limit

Counts

3 → 134

Calls

Call 1

Inputs

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

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

(-.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)

Outputs

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

simplify62.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

770×	`times-frac_binary64`
339×	`unswap-sqr_binary64`
325×	`fma-neg_binary64`
253×	`associate-/l*_binary64`
214×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	310	2039
1	704	1895
2	2472	1824

Stop Event

1×	node limit

Counts

134 → 170

Calls

Call 1

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

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

localize32.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a)
	0.4b	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	8.1b	(-.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a) (/.f64 b_2 a))
	18.0b	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

Compiler

Compiled 54 to 10 computations (81.5% saved)

series143.0ms (0.7%)

Counts

2 → 0

Calls

18 calls:

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

Compiler

Compiled 12730 to 7900 computations (37.9% saved)

rewrite85.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

722×	`log-prod_binary64`
699×	`fma-def_binary64`
349×	`fma-neg_binary64`
242×	`expm1-udef_binary64`
242×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	33
1	266	33
2	4208	31

Stop Event

1×	node limit

Counts

2 → 193

Calls

Call 1

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

Outputs

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

simplify131.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

586×	`fma-neg_binary64`
421×	`div-sub_binary64`
317×	`unswap-sqr_binary64`
287×	`cancel-sign-sub-inv_binary64`
177×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	376	5404
1	967	4544
2	3289	4461

Stop Event

1×	node limit

Counts

193 → 247

Calls

Call 1

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

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

localize30.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) (/.f64 a (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4)))
	0.4b	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	15.6b	(-.f64 (/.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) (/.f64 a (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4))) (/.f64 b_2 a))
	18.5b	(pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4)

Compiler

Compiled 89 to 26 computations (70.8% saved)

series296.0ms (1.3%)

Counts

2 → 0

Calls

18 calls:

Time	Variable		Point	Expression
4.0ms	a	@	-inf	(-.f64 (/.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) (/.f64 a (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4))) (/.f64 b_2 a))
3.0ms	a	@	inf	(-.f64 (/.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) (/.f64 a (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4))) (/.f64 b_2 a))
2.0ms	c	@	inf	(-.f64 (/.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) (/.f64 a (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4))) (/.f64 b_2 a))
2.0ms	c	@	-inf	(-.f64 (/.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) (/.f64 a (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4))) (/.f64 b_2 a))
1.0ms	c	@	inf	(/.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) (/.f64 a (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4)))

Compiler

Compiled 31805 to 25065 computations (21.2% saved)

rewrite103.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

863×	`log-prod_binary64`
672×	`fma-def_binary64`
348×	`fma-neg_binary64`
284×	`expm1-udef_binary64`
284×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	68
1	319	36
2	4922	34

Stop Event

1×	node limit

Counts

2 → 200

Calls

Call 1

Inputs

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

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

Outputs

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

simplify128.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

475×	`fma-neg_binary64`
432×	`cancel-sign-sub-inv_binary64`
392×	`unswap-sqr_binary64`
323×	`div-sub_binary64`
165×	`distribute-frac-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	396	7143
1	1051	6534
2	3798	6225

Stop Event

1×	node limit

Counts

200 → 268

Calls

Call 1

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

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

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 a (-.f64 (hypot.f64 b_2 (*.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 c)))) b_2))
✓	0.1b	(pow.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (*.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 c)))) b_2)) -1)
✓	0.1b	(*.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 c)))
✓	0.8b	(-.f64 (hypot.f64 b_2 (*.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 c)))) b_2)

Compiler

Compiled 64 to 13 computations (79.7% saved)

series1.2s (5.5%)

Counts

4 → 0

Calls

33 calls:

Time	Variable		Point	Expression
24.0ms	a	@	inf	(pow.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (*.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 c)))) b_2)) -1)
9.0ms	c	@	inf	(pow.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (*.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 c)))) b_2)) -1)
8.0ms	a	@	-inf	(pow.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (*.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 c)))) b_2)) -1)
5.0ms	b_2	@	inf	(pow.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (*.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 c)))) b_2)) -1)
3.0ms	c	@	-inf	(pow.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (*.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 c)))) b_2)) -1)

Compiler

Compiled 100200 to 69420 computations (30.7% saved)

rewrite75.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

630×	`log-prod_binary64`
505×	`prod-diff_binary64`
328×	`pow2_binary64`
234×	`fma-def_binary64`
228×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	59
1	281	48
2	3737	48

Stop Event

1×	node limit

Counts

4 → 201

Calls

Call 1

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

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

simplify80.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

335×	`log-prod_binary64`
272×	`associate-/l/_binary64`
196×	`cancel-sign-sub-inv_binary64`
193×	`cube-prod_binary64`
193×	`exp-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	410	3939
1	928	3779
2	3365	3724

Stop Event

1×	node limit

Counts

201 → 237

Calls

Call 1

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

localize40.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (/.f64 1 a) b_2)
✓	8.4b	(sqrt.f64 (*.f64 a c))
✓	10.5b	(fma.f64 (/.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2)) 1) (/.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2)) a) (neg.f64 (*.f64 (/.f64 1 a) b_2)))
✓	56.0b	(fma.f64 (neg.f64 (/.f64 1 a)) b_2 (*.f64 (/.f64 1 a) b_2))

Compiler

Compiled 136 to 52 computations (61.8% saved)

series661.0ms (3%)

Counts

4 → 0

Calls

27 calls:

Time	Variable		Point	Expression
31.0ms	b_2	@	0	(fma.f64 (/.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2)) 1) (/.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2)) a) (neg.f64 (*.f64 (/.f64 1 a) b_2)))
8.0ms	a	@	-inf	(fma.f64 (/.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2)) 1) (/.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2)) a) (neg.f64 (*.f64 (/.f64 1 a) b_2)))
7.0ms	c	@	inf	(fma.f64 (/.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2)) 1) (/.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2)) a) (neg.f64 (*.f64 (/.f64 1 a) b_2)))
7.0ms	a	@	inf	(fma.f64 (/.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2)) 1) (/.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2)) a) (neg.f64 (*.f64 (/.f64 1 a) b_2)))
4.0ms	c	@	-inf	(fma.f64 (/.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2)) 1) (/.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2)) a) (neg.f64 (*.f64 (/.f64 1 a) b_2)))

Compiler

Compiled 47445 to 32850 computations (30.8% saved)

rewrite65.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

751×	`log-prod_binary64`
357×	`pow2_binary64`
254×	`pow1/3_binary64`
254×	`fma-def_binary64`
246×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	54
1	358	35
2	4302	35

Stop Event

1×	node limit

Counts

4 → 139

Calls

Call 1

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

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

simplify35.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

80×	`fma-def_binary64`
73×	`associate-r_binary64`
59×	`sqr-pow_binary64`
54×	`associate-l_binary64`
53×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	290	975
1	646	975
2	2379	975

Stop Event

1×

unsound

Counts

139 → 140

Calls

Call 1

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

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

eval774.0ms (3.5%)

Compiler: Compiled 62652 to 17904 computations (71.4% saved)

prune946.0ms (4.3%)

Pruning

63 alts after pruning (55 fresh and 8 done)

	Pruned	Kept	Total
New	2041	16	2057
Fresh	4	39	43
Picked	1	0	1
Done	2	8	10
Total	2048	63	2111

Error

11.5b

Counts

2111 → 63

Alt Table

Click to see full alt table

Status	Error	Program
	33.8b	(fma.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) (/.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)) 1/4) a)) (/.f64 (neg.f64 b_2) a))
	55.3b	(fma.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2) (/.f64 1 a) (neg.f64 (/.f64 b_2 a)))
	55.4b	(fma.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) (/.f64 1 a) (.f64 (neg.f64 b_2) (/.f64 1 a)))
✓	34.2b	(fma.f64 (/.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) (cbrt.f64 a)) (/.f64 (neg.f64 b_2) a))
	38.9b	(fma.f64 (/.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) (sqrt.f64 (.f64 a (cbrt.f64 a)))) (/.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)) 1/4) (cbrt.f64 a)) (/.f64 (neg.f64 b_2) a))
	47.1b	(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)) (/.f64 (neg.f64 b_2) a))
	33.7b	(fma.f64 (/.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/8) a) (/.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 (neg.f64 b_2) a))
	60.9b	(fma.f64 (/.f64 (cbrt.f64 (fma.f64 a c (.f64 b_2 b_2))) (cbrt.f64 (.f64 a a))) (/.f64 (cbrt.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)) (cbrt.f64 a)) (/.f64 (neg.f64 b_2) a))
	33.8b	(fma.f64 (/.f64 1 a) (/.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) a))
	33.7b	(fma.f64 (neg.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4)) (/.f64 1 (.f64 (neg.f64 a) (pow.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)) -1/4))) (/.f64 (neg.f64 b_2) a))
	34.2b	(fma.f64 (neg.f64 b_2) (/.f64 1 a) (/.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) a))
	33.7b	(/.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)
	51.1b	(/.f64 (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)) a)
	63.7b	(/.f64 (fma.f64 (sqrt.f64 b_2) (neg.f64 (sqrt.f64 b_2)) (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)) a)
	33.7b	(/.f64 (fma.f64 (sqrt.f64 1/3) (sqrt.f64 (.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)) 3)) (neg.f64 b_2)) a)
	45.7b	(/.f64 (fma.f64 (neg.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4)) (neg.f64 a) (.f64 (.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) -1/4) (neg.f64 a)) (neg.f64 (neg.f64 b_2)))) (.f64 (neg.f64 a) (.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) -1/4) (neg.f64 a))))
	47.1b	(/.f64 (fma.f64 (neg.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4)) a (.f64 (neg.f64 b_2) (.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) -1/4) (neg.f64 a)))) (neg.f64 (.f64 (.f64 a a) (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) -1/4))))
	33.9b	(/.f64 (fma.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) (sqrt.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (neg.f64 b_2)) a)
	62.6b	(/.f64 (/.f64 (-.f64 (fma.f64 b_2 b_2 (.f64 a c)) (.f64 b_2 b_2)) (-.f64 (neg.f64 b_2) (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))) a)
	36.3b	(/.f64 (/.f64 (.f64 c (neg.f64 a)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))))) a)
	42.7b	(/.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2) 1/3) b_2) a)
	32.8b	(/.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 2) b_2) a)
	47.7b	(/.f64 (-.f64 (hypot.f64 (*.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c)) b_2) b_2) a)
	58.2b	(/.f64 (-.f64 (hypot.f64 (*.f64 (sqrt.f64 c) (sqrt.f64 a)) b_2) b_2) a)
	45.2b	(/.f64 (-.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 c))) b_2) b_2) a)
	52.0b	(/.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2) b_2) a)
✓	31.0b	(/.f64 (-.f64 (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2) b_2) a)
	33.1b	(/.f64 (-.f64 (.f64 (sqrt.f64 1/3) (sqrt.f64 (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3))) b_2) a)
	33.8b	(/.f64 (-.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 3)) b_2) a)
✓	32.2b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
✓	32.2b	(/.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)
✓	32.5b	(/.f64 (-.f64 (sqrt.f64 (.f64 1/3 (.f64 3 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) b_2) a)
	35.5b	(/.f64 (-.f64 (exp.f64 (.f64 (log.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) 1/2)) b_2) a)
	40.8b	(/.f64 (-.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3/2)) b_2) a)
	63.5b	(/.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) a)
	31.1b	(/.f64 1 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) b_2)))
	32.8b	(-.f64 (/.f64 (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 2) a) (/.f64 b_2 a))
	33.3b	(-.f64 (/.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) (.f64 a (pow.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)) -1/4))) (/.f64 b_2 a))
	32.4b	(-.f64 (/.f64 (sqrt.f64 (fma.f64 b_2 b_2 (neg.f64 (*.f64 a c)))) a) (/.f64 b_2 a))
✓	32.4b	(-.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a) (/.f64 b_2 a))
	41.0b	(-.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2)) a) (/.f64 b_2 a))
	33.3b	(-.f64 (/.f64 1 (/.f64 a (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) (/.f64 b_2 a))
	32.9b	(-.f64 (.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) a)) (/.f64 b_2 a))
	33.1b	(-.f64 (.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) (/.f64 1 a))) (/.f64 b_2 a))
	33.2b	(-.f64 (.f64 (/.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/8) a) (/.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 b_2 a))
	55.8b	(-.f64 (sqrt.f64 (/.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (*.f64 a a))) (/.f64 b_2 a))
	58.9b	(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2) a)) 2) (cbrt.f64 (/.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2) a)) (neg.f64 (.f64 (/.f64 b_2 (sqrt.f64 a)) (/.f64 1 (sqrt.f64 a))))) (fma.f64 (neg.f64 (/.f64 b_2 (sqrt.f64 a))) (/.f64 1 (sqrt.f64 a)) (.f64 (/.f64 b_2 (sqrt.f64 a)) (/.f64 1 (sqrt.f64 a)))))
	63.7b	(+.f64 (fma.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2) (/.f64 1 a) (neg.f64 (.f64 (/.f64 (sqrt.f64 b_2) a) (/.f64 (sqrt.f64 b_2) 1)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 b_2) a)) (/.f64 (sqrt.f64 b_2) 1) (*.f64 (/.f64 (sqrt.f64 b_2) a) (/.f64 (sqrt.f64 b_2) 1))))
	55.4b	(+.f64 (fma.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2) (/.f64 1 a) (neg.f64 (.f64 (/.f64 (cbrt.f64 b_2) a) (/.f64 (pow.f64 (cbrt.f64 b_2) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 b_2) a)) (/.f64 (pow.f64 (cbrt.f64 b_2) 2) 1) (*.f64 (/.f64 (cbrt.f64 b_2) a) (/.f64 (pow.f64 (cbrt.f64 b_2) 2) 1))))
	61.9b	(+.f64 (fma.f64 (/.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2)) (cbrt.f64 (.f64 a a))) (/.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2)) (cbrt.f64 a)) (neg.f64 (.f64 (/.f64 b_2 (sqrt.f64 a)) (/.f64 1 (sqrt.f64 a))))) (fma.f64 (neg.f64 (/.f64 b_2 (sqrt.f64 a))) (/.f64 1 (sqrt.f64 a)) (*.f64 (/.f64 b_2 (sqrt.f64 a)) (/.f64 1 (sqrt.f64 a)))))
	55.3b	(+.f64 (fma.f64 (/.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2)) 1) (/.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2)) a) (neg.f64 (/.f64 b_2 a))) (fma.f64 (neg.f64 (/.f64 1 a)) b_2 (*.f64 (/.f64 1 a) b_2)))
	60.9b	(+.f64 (fma.f64 (/.f64 (neg.f64 b_2) (cbrt.f64 a)) (/.f64 1 (cbrt.f64 (.f64 a a))) (/.f64 (.f64 (/.f64 b_2 (cbrt.f64 a)) 1) (cbrt.f64 (.f64 a a)))) (fma.f64 (cbrt.f64 (fma.f64 a c (.f64 b_2 b_2))) (/.f64 (cbrt.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2)) a) (.f64 (/.f64 b_2 (cbrt.f64 a)) (neg.f64 (/.f64 1 (cbrt.f64 (*.f64 a a)))))))
	60.9b	(+.f64 (fma.f64 (/.f64 (cbrt.f64 (fma.f64 a c (.f64 b_2 b_2))) (cbrt.f64 (.f64 a a))) (/.f64 (cbrt.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2)) (cbrt.f64 a)) (neg.f64 (.f64 (cbrt.f64 (/.f64 b_2 a)) (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 b_2 a))) (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 2) (*.f64 (cbrt.f64 (/.f64 b_2 a)) (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 2))))
	63.7b	(+.f64 (fma.f64 (/.f64 (cbrt.f64 (fma.f64 a c (.f64 b_2 b_2))) 1) (/.f64 (cbrt.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2)) a) (neg.f64 (.f64 (/.f64 (sqrt.f64 b_2) a) (/.f64 (sqrt.f64 b_2) 1)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 b_2) a)) (/.f64 (sqrt.f64 b_2) 1) (.f64 (/.f64 (sqrt.f64 b_2) a) (/.f64 (sqrt.f64 b_2) 1))))
	58.2b	(+.f64 (fma.f64 (/.f64 -1 a) b_2 (.f64 b_2 (/.f64 1 a))) (fma.f64 (cbrt.f64 (fma.f64 a c (.f64 b_2 b_2))) (/.f64 (cbrt.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2)) a) (.f64 (/.f64 -1 a) b_2)))
	58.8b	(+.f64 (fma.f64 (sqrt.f64 (/.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2) a)) (sqrt.f64 (/.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2) a)) (neg.f64 (.f64 (/.f64 1 a) b_2))) (fma.f64 (neg.f64 (/.f64 1 a)) b_2 (.f64 (/.f64 1 a) b_2)))
	63.7b	(+.f64 (fma.f64 1 (/.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2) a) (neg.f64 (.f64 (/.f64 (sqrt.f64 b_2) a) (/.f64 (sqrt.f64 b_2) 1)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 b_2) a)) (/.f64 (sqrt.f64 b_2) 1) (*.f64 (/.f64 (sqrt.f64 b_2) a) (/.f64 (sqrt.f64 b_2) 1))))
	46.5b	(+.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) a) (/.f64 b_2 a))
	55.4b	(+.f64 (-.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) a) (/.f64 b_2 a)) (fma.f64 (neg.f64 (/.f64 1 a)) b_2 (.f64 (/.f64 1 a) b_2)))
	63.7b	(.f64 (/.f64 1 a) (fma.f64 (sqrt.f64 b_2) (neg.f64 (sqrt.f64 b_2)) (hypot.f64 b_2 (sqrt.f64 (.f64 a c)))))
	58.2b	(.f64 (/.f64 1 a) (fma.f64 (neg.f64 (cbrt.f64 (.f64 b_2 b_2))) (cbrt.f64 b_2) (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))
✓	47.7b	(.f64 (/.f64 1 a) (-.f64 (hypot.f64 b_2 (.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c))) b_2))
✓	31.1b	(.f64 (/.f64 1 a) (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))) b_2))

Compiler

Compiled 1734 to 966 computations (44.3% saved)

regimes661.0ms (3%)

Counts

107 → 5

Calls

Call 1

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

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

Calls

4 calls:

228.0ms	a
157.0ms	c
121.0ms	b_2
113.0ms	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Results

Error	Segments	Branch
23.9b	5	`a`
22.3b	3	`b_2`
26.5b	3	`c`
19.9b	5	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`

Compiler

Compiled 2561 to 773 computations (69.8% saved)

bsearch2.0ms (0%)

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	4.678736504907003e+254	4.43780173648838e+261
0.0ms	-0.0	2.405604122698849e-243
0.0ms	-2.1548802238178416e-251	-0.0
0.0ms	-inf	-2.4647245809807444e+294

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes192.0ms (0.9%)

Counts

32 → 5

Calls

Call 1

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

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

Calls

4 calls:

60.0ms	a
49.0ms	c
37.0ms	b_2
37.0ms	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Results

Error	Segments	Branch
26.9b	4	`a`
22.3b	3	`b_2`
28.1b	4	`c`
22.2b	5	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`

Compiler

Compiled 542 to 198 computations (63.5% saved)

bsearch1.0ms (0%)

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	4.678736504907003e+254	4.43780173648838e+261
0.0ms	-0.0	2.405604122698849e-243
0.0ms	-2.1548802238178416e-251	-0.0
0.0ms	-inf	-2.4647245809807444e+294

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes178.0ms (0.8%)

Counts

31 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

59.0ms	a
38.0ms	b_2
36.0ms	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
35.0ms	c

Results

Error	Segments	Branch
28.6b	4	`a`
22.3b	3	`b_2`
29.8b	3	`c`
23.0b	5	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`

Compiler

Compiled 530 to 193 computations (63.6% saved)

bsearch52.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
29.0ms	7.2773338051168235e-143	1.0972791646875471e-131
22.0ms	-3.186858245855795e+135	-9.921613305894111e+131

Results

30.0ms	264×	body	256	valid
6.0ms	52×	body	256	invalid
5.0ms	47×	body	256	infinite
4.0ms	11×	body	1024	valid
2.0ms	13×	body	512	valid

Compiler

Compiled 666 to 403 computations (39.5% saved)

regimes170.0ms (0.8%)

Counts

21 → 3

Calls

Call 1

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

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

Calls

4 calls:

62.0ms	a
58.0ms	b_2
27.0ms	c
18.0ms	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Results

Error	Segments	Branch
29.7b	3	`a`
27.0b	3	`b_2`
29.8b	3	`c`
27.1b	3	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`

Compiler

Compiled 319 to 124 computations (61.1% saved)

bsearch68.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
45.0ms	2.3020727901000197e+152	2.0853264074316783e+155
23.0ms	-1.6172280584564964e+163	-1.2363891409504665e+159

Results

20.0ms	50×	body	2048	valid
17.0ms	141×	body	256	valid
10.0ms	37×	body	1024	valid
9.0ms	21×	body	4096	valid
6.0ms	53×	body	256	infinite
1.0ms	7×	body	512	valid
0.0ms	1×	body	256	invalid

Compiler

Compiled 510 to 327 computations (35.9% saved)

regimes51.0ms (0.2%)

Counts

8 → 3

Calls

Call 1

Inputs
(/.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 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a) (/.f64 b_2 a))
(-.f64 (sqrt.f64 (/.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (*.f64 a a))) (/.f64 b_2 a))
(/.f64 (-.f64 (sqrt.f64 (.f64 1/3 (.f64 3 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) b_2) a)
(/.f64 (-.f64 (sqrt.f64 (.f64 3 (.f64 1/3 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) b_2) a)
(/.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) a)
(/.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2) b_2) a)

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

Calls

4 calls:

18.0ms	b_2
14.0ms	c
12.0ms	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
5.0ms	a

Results

Error	Segments	Branch
32.2b	1	`a`
27.2b	3	`b_2`
31.2b	3	`c`
27.2b	3	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`

Compiler

Compiled 138 to 59 computations (57.2% saved)

bsearch70.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
42.0ms	2.3020727901000197e+152	2.0853264074316783e+155
28.0ms	-1.2363891409504665e+159	-1.2572895578050733e+148

Results

20.0ms	176×	body	256	valid
19.0ms	53×	body	2048	valid
9.0ms	29×	body	1024	valid
8.0ms	19×	body	4096	valid
6.0ms	56×	body	256	infinite
2.0ms	11×	body	512	valid
0.0ms	3×	body	256	invalid

Compiler

Compiled 562 to 357 computations (36.5% saved)

regimes22.0ms (0.1%)

Accuracy

Total -31.6b remaining (-97.9%)

Threshold costs -31.6b (-97.9%)

Counts

7 → 1

Calls

Call 1

Inputs
(/.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 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a) (/.f64 b_2 a))
(-.f64 (sqrt.f64 (/.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (*.f64 a a))) (/.f64 b_2 a))
(/.f64 (-.f64 (sqrt.f64 (.f64 1/3 (.f64 3 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) b_2) a)
(/.f64 (-.f64 (sqrt.f64 (.f64 3 (.f64 1/3 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) b_2) a)
(/.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) a)

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

Calls

4 calls:

6.0ms	b_2
5.0ms	a
4.0ms	c
4.0ms	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Results

Error	Segments	Branch
32.2b	1	`a`
32.2b	1	`b_2`
32.2b	1	`c`
32.2b	1	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`

Compiler

Compiled 128 to 56 computations (56.3% saved)

simplify29.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	601
1	105	601
2	127	601
3	137	601
4	142	601
5	145	601
6	146	601

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) -inf.0) (/.f64 (-.f64 (hypot.f64 (.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c)) b_2) b_2) a) (if (<=.f64 (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) -5159126280621731/257956314031086546070478410603767874276780920916074961976543314954430616482775810290242800726395111276696481930301332362735521269288420672485614735577607215287298185546389201254263436365442598170421988724712494337962904439820098505292185985726092029535907510203973632) (-.f64 (/.f64 (sqrt.f64 (fma.f64 b_2 b_2 (neg.f64 (.f64 a c)))) a) (/.f64 b_2 a)) (if (<=.f64 (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) 0) (/.f64 (/.f64 (.f64 c (neg.f64 a)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))))) a) (if (<=.f64 (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) 499999999999999994226284847320726644945706423883416948338684232714424065450517454647939809954472658279646293784979232837327496463864312278941744581874770123178445564553366795965652416846819282814091153039056691636391392195497024803037883006094878332420096) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (/.f64 (-.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 c))) b_2) b_2) a)))))
(if (<=.f64 (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) -inf.0) (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (neg.f64 (.f64 a c))) b_2) b_2) a) (if (<=.f64 (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) -5159126280621731/257956314031086546070478410603767874276780920916074961976543314954430616482775810290242800726395111276696481930301332362735521269288420672485614735577607215287298185546389201254263436365442598170421988724712494337962904439820098505292185985726092029535907510203973632) (-.f64 (/.f64 (sqrt.f64 (fma.f64 b_2 b_2 (neg.f64 (.f64 a c)))) a) (/.f64 b_2 a)) (if (<=.f64 (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) 0) (/.f64 (/.f64 (.f64 c (neg.f64 a)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))))) a) (if (<=.f64 (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) 499999999999999994226284847320726644945706423883416948338684232714424065450517454647939809954472658279646293784979232837327496463864312278941744581874770123178445564553366795965652416846819282814091153039056691636391392195497024803037883006094878332420096) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (/.f64 (-.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 c))) b_2) b_2) a)))))
(if (<=.f64 b_2 -3100000000000000220592338108533065969032020867853342475254638091546397311596573187056194691220649932283929715717739796345356231712440320) (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (neg.f64 (.f64 a c))) b_2) b_2) a) (if (<=.f64 b_2 1636695303948071/13093562431584567480052758787310396608866568184172259157933165472384535185618698219533080369303616628603546736510240284036869026183541572213314110357504) (-.f64 (/.f64 (sqrt.f64 (fma.f64 b_2 b_2 (neg.f64 (.f64 a c)))) a) (/.f64 b_2 a)) (/.f64 (/.f64 (.f64 c (neg.f64 a)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))))) a)))
(if (<=.f64 b_2 -1250000000000000008160509681335283196057080268610783389806105568190063972229772642813792188748608379477042808773396973149218764706067941294523068581304785174528) (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (neg.f64 (.f64 a c))) b_2) b_2) a) (if (<=.f64 b_2 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2) b_2) a)))
(if (<=.f64 b_2 -13199999999999999773196063550815192655340841269168371305534464478777571651222204465790151517816444445650545021209011632002935604597533337723926189038370816) (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2) b_2) a) (if (<=.f64 b_2 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2) b_2) a)))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)

Outputs
(if (<=.f64 (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) -inf.0) (/.f64 (-.f64 (hypot.f64 (.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c)) b_2) b_2) a) (if (<=.f64 (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) -5159126280621731/257956314031086546070478410603767874276780920916074961976543314954430616482775810290242800726395111276696481930301332362735521269288420672485614735577607215287298185546389201254263436365442598170421988724712494337962904439820098505292185985726092029535907510203973632) (-.f64 (/.f64 (sqrt.f64 (fma.f64 b_2 b_2 (neg.f64 (.f64 a c)))) a) (/.f64 b_2 a)) (if (<=.f64 (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) 0) (/.f64 (/.f64 (.f64 c (neg.f64 a)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))))) a) (if (<=.f64 (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) 499999999999999994226284847320726644945706423883416948338684232714424065450517454647939809954472658279646293784979232837327496463864312278941744581874770123178445564553366795965652416846819282814091153039056691636391392195497024803037883006094878332420096) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (/.f64 (-.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 c))) b_2) b_2) a)))))
(if (<=.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) -inf.0) (/.f64 (-.f64 (hypot.f64 (.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c)) b_2) b_2) a) (if (<=.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) -5159126280621731/257956314031086546070478410603767874276780920916074961976543314954430616482775810290242800726395111276696481930301332362735521269288420672485614735577607215287298185546389201254263436365442598170421988724712494337962904439820098505292185985726092029535907510203973632) (-.f64 (/.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a)))) a) (/.f64 b_2 a)) (if (<=.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) 0) (/.f64 (/.f64 (.f64 c (neg.f64 a)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))))) a) (if (<=.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) 499999999999999994226284847320726644945706423883416948338684232714424065450517454647939809954472658279646293784979232837327496463864312278941744581874770123178445564553366795965652416846819282814091153039056691636391392195497024803037883006094878332420096) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (/.f64 (-.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 c))) b_2) b_2) a)))))
(if (<=.f64 (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) -inf.0) (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (neg.f64 (.f64 a c))) b_2) b_2) a) (if (<=.f64 (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) -5159126280621731/257956314031086546070478410603767874276780920916074961976543314954430616482775810290242800726395111276696481930301332362735521269288420672485614735577607215287298185546389201254263436365442598170421988724712494337962904439820098505292185985726092029535907510203973632) (-.f64 (/.f64 (sqrt.f64 (fma.f64 b_2 b_2 (neg.f64 (.f64 a c)))) a) (/.f64 b_2 a)) (if (<=.f64 (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) 0) (/.f64 (/.f64 (.f64 c (neg.f64 a)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))))) a) (if (<=.f64 (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) 499999999999999994226284847320726644945706423883416948338684232714424065450517454647939809954472658279646293784979232837327496463864312278941744581874770123178445564553366795965652416846819282814091153039056691636391392195497024803037883006094878332420096) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (/.f64 (-.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 c))) b_2) b_2) a)))))
(if (<=.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) -inf.0) (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2) b_2) a) (if (<=.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) -5159126280621731/257956314031086546070478410603767874276780920916074961976543314954430616482775810290242800726395111276696481930301332362735521269288420672485614735577607215287298185546389201254263436365442598170421988724712494337962904439820098505292185985726092029535907510203973632) (-.f64 (/.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a)))) a) (/.f64 b_2 a)) (if (<=.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) 0) (/.f64 (/.f64 (.f64 c (neg.f64 a)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))))) a) (if (<=.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) 499999999999999994226284847320726644945706423883416948338684232714424065450517454647939809954472658279646293784979232837327496463864312278941744581874770123178445564553366795965652416846819282814091153039056691636391392195497024803037883006094878332420096) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (/.f64 (-.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 c))) b_2) b_2) a)))))
(if (<=.f64 b_2 -3100000000000000220592338108533065969032020867853342475254638091546397311596573187056194691220649932283929715717739796345356231712440320) (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (neg.f64 (.f64 a c))) b_2) b_2) a) (if (<=.f64 b_2 1636695303948071/13093562431584567480052758787310396608866568184172259157933165472384535185618698219533080369303616628603546736510240284036869026183541572213314110357504) (-.f64 (/.f64 (sqrt.f64 (fma.f64 b_2 b_2 (neg.f64 (.f64 a c)))) a) (/.f64 b_2 a)) (/.f64 (/.f64 (.f64 c (neg.f64 a)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))))) a)))
(if (<=.f64 b_2 -3100000000000000220592338108533065969032020867853342475254638091546397311596573187056194691220649932283929715717739796345356231712440320) (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2) b_2) a) (if (<=.f64 b_2 1636695303948071/13093562431584567480052758787310396608866568184172259157933165472384535185618698219533080369303616628603546736510240284036869026183541572213314110357504) (-.f64 (/.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a)))) a) (/.f64 b_2 a)) (/.f64 (/.f64 (.f64 c (neg.f64 a)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))))) a)))
(if (<=.f64 b_2 -1250000000000000008160509681335283196057080268610783389806105568190063972229772642813792188748608379477042808773396973149218764706067941294523068581304785174528) (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (neg.f64 (.f64 a c))) b_2) b_2) a) (if (<=.f64 b_2 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2) b_2) a)))
(if (<=.f64 b_2 -1250000000000000008160509681335283196057080268610783389806105568190063972229772642813792188748608379477042808773396973149218764706067941294523068581304785174528) (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2) b_2) a) (if (<=.f64 b_2 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2) b_2) a)))
(if (<=.f64 b_2 -13199999999999999773196063550815192655340841269168371305534464478777571651222204465790151517816444445650545021209011632002935604597533337723926189038370816) (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2) b_2) a) (if (<=.f64 b_2 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2) b_2) a)))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)

Compiler

Compiled 411 to 166 computations (59.6% saved)

soundness1.4s (6.2%)

Algorithm

8×	egg-herbie

Rules

808×	`fma-neg_binary64`
808×	`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	648	8107
1	1471	7446
2	5217	7410
0	419	5870
1	1000	5070
2	3285	4963
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	382	3068
1	886	2931
2	3247	2788
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

Stop Event

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

Compiler

Compiled 1308 to 728 computations (44.3% saved)

end91.0ms (0.4%)

Compiler: Compiled 396 to 83 computations (79% saved)