Details

analyze292.0ms (2.2%)

Algorithm

1×

Search

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

Compiler

Compiled 17 to 11 computations (35.3% saved)

sample1.7s (12.4%)

Results

645.0ms	5548×	body	256	valid
415.0ms	1205×	body	2048	valid
186.0ms	707×	body	1024	valid
178.0ms	420×	body	4096	valid
122.0ms	1179×	body	256	invalid
69.0ms	376×	body	512	valid
40.0ms	358×	body	256	infinite

Bogosity

preprocess134.0ms (1%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

simplify111.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 3

Calls

Call 1

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

Outputs

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

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

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

34.8b

Counts

4 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 15 to 9 computations (40% saved)

localize12.0ms (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))
✓	1.3b	(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)
✓	19.8b	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

Compiler

Compiled 49 to 9 computations (81.6% saved)

series35.0ms (0.3%)

Counts

4 → 96

Calls

36 calls:

Time	Variable		Point	Expression
12.0ms	c	@	inf	(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)
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)))

rewrite95.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 357

Calls

Call 1

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

simplify203.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

861×	`fma-neg_binary64`
452×	`fma-def_binary64`
332×	`associate-r_binary64`
269×	`associate-l_binary64`
221×	`+-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	810	11217
1	2016	10437
2	7238	10413

Stop Event

1×	node limit

Counts

453 → 669

Calls

Call 1

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

eval275.0ms (2%)

Compiler: Compiled 16345 to 5593 computations (65.8% saved)

prune169.0ms (1.3%)

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	649	20	669
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	649	21	670

Error

4.1b

Counts

670 → 21

Alt Table

Click to see full alt table

Status	Error	Program
▶	36.4b	(fma.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/4) (/.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/4) a) (/.f64 (neg.f64 b_2) a))
	40.1b	(fma.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) (/.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a) (/.f64 (neg.f64 b_2) a))
▶	33.7b	(pow.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2)) -1)
	46.5b	(pow.f64 (sqrt.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2) a)) 2)
	48.4b	(/.f64 (fma.f64 -1/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 5)) (fma.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) (/.f64 -1/2 (/.f64 b_2 (*.f64 c a))))) a)
	47.7b	(/.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2) (sqrt.f64 a)) (sqrt.f64 a))
	46.8b	(/.f64 (/.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (.f64 c a))) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))))) a)
	35.3b	(/.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 2) b_2) a)
✓	34.8b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
	34.8b	(/.f64 (-.f64 (sqrt.f64 (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 2 (fma.f64 a (neg.f64 c) (.f64 c a))))) b_2) a)
	45.7b	(/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)
	38.4b	(/.f64 (-.f64 (exp.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))))) b_2) a)
▶	43.0b	(/.f64 (-.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3/2)) b_2) a)
	56.8b	(/.f64 (-.f64 b_2 b_2) a)
	47.4b	(/.f64 (+.f64 (.f64 -2 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2))) a)
	36.7b	(/.f64 (*.f64 c -1/2) b_2)
▶	45.8b	(/.f64 (*.f64 b_2 -2) a)
	43.3b	(/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)
	35.6b	(/.f64 (exp.f64 (log.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2))) a)
▶	46.0b	(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
	33.7b	(.f64 (/.f64 1 a) (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))) b_2))

Compiler

Compiled 715 to 457 computations (36.1% saved)

localize15.0ms (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)
✓	0.2b	(-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2)
✓	13.6b	(sqrt.f64 (neg.f64 (*.f64 a c)))

Compiler

Compiled 59 to 12 computations (79.7% saved)

series120.0ms (0.9%)

Counts

4 → 36

Calls

33 calls:

Time	Variable		Point	Expression
35.0ms	c	@	inf	(pow.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2)) -1)
10.0ms	a	@	inf	(pow.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2)) -1)
9.0ms	a	@	-inf	(pow.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2)) -1)
8.0ms	a	@	inf	(-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2)
7.0ms	c	@	-inf	(pow.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2)) -1)

rewrite74.0ms (0.6%)

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	59
1	263	48
2	3578	48

Stop Event

1×	node limit

Counts

4 → 213

Calls

Call 1

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

simplify141.0ms (1%)

Algorithm

1×	egg-herbie

Rules

486×	`associate-r_binary64`
397×	`fma-def_binary64`
370×	`associate-l_binary64`
334×	`*-commutative_binary64`
260×	`times-frac_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	691	6474
1	1826	5610
2	7794	5584

Stop Event

1×	node limit

Counts

249 → 388

Calls

Call 1

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

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

localize5.0ms (0%)

Compiler: Compiled 14 to 9 computations (35.7% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 35 to 16 computations (54.3% saved)

series16.0ms (0.1%)

Counts

3 → 9

Calls

21 calls:

Time	Variable		Point	Expression
7.0ms	b_2	@	0	(*.f64 -2 (/.f64 b_2 a))
1.0ms	c	@	0	(*.f64 1/2 (/.f64 c b_2))
1.0ms	c	@	inf	(*.f64 1/2 (/.f64 c b_2))
1.0ms	b_2	@	inf	(*.f64 -2 (/.f64 b_2 a))
1.0ms	b_2	@	inf	(*.f64 1/2 (/.f64 c b_2))

rewrite70.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	28
1	246	28
2	3422	28

Stop Event

1×	node limit

Counts

3 → 124

Calls

Call 1

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

Outputs

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

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

simplify61.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

572×	`times-frac_binary64`
413×	`associate-/l*_binary64`
407×	`distribute-rgt-in_binary64`
380×	`distribute-lft-in_binary64`
358×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	284	2036
1	662	1961
2	2134	1955

Stop Event

1×	node limit

Counts

133 → 151

Calls

Call 1

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

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

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3/2)
✓	0.4b	(-.f64 (.f64 b_2 b_2) (.f64 c a))
✓	1.3b	(-.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3/2)) b_2)
✓	31.4b	(cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3/2))

Compiler

Compiled 65 to 21 computations (67.7% saved)

series49.0ms (0.4%)

Counts

4 → 112

Calls

36 calls:

Time	Variable		Point	Expression
25.0ms	a	@	inf	(cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3/2))
4.0ms	a	@	-inf	(pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3/2)
2.0ms	b_2	@	0	(pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3/2)
2.0ms	b_2	@	inf	(pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3/2)
2.0ms	c	@	inf	(pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3/2)

rewrite83.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

637×	`fma-def_binary64`
570×	`log-prod_binary64`
318×	`pow2_binary64`
274×	`fma-neg_binary64`
215×	`pow1/3_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	56
1	255	50
2	3522	48

Stop Event

1×	node limit

Counts

4 → 333

Calls

Call 1

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

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

simplify191.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

635×	`fma-def_binary64`
468×	`associate-r_binary64`
378×	`associate-l_binary64`
245×	`times-frac_binary64`
219×	`associate-/l*_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	894	8589946380
1	2387	10915

Stop Event

1×	node limit

Counts

445 → 615

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1))))))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 -1) 5)))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))))
b_2
(+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))))
(*.f64 -1 b_2)
(+.f64 (.f64 -1 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(+.f64 (.f64 -1 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 c a) b_2))))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))))
b_2
(+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))))
b_2
(+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 b_2))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 -1 b_2) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1))))))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 -1 b_2) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 c 4) (pow.f64 a 4))) (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2)) (pow.f64 b_2 7))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (*.f64 c a) b_2)))))
(*.f64 -2 b_2)
(+.f64 (.f64 -2 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(+.f64 (.f64 -2 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 c a) b_2))))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -2 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 4) (+.f64 (.f64 1/16 (/.f64 (pow.f64 a 4) (pow.f64 b_2 6))) (pow.f64 (.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 b_2 3))) 2))) b_2)) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 (.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 3))) 2) (.f64 1/16 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)))) (pow.f64 a 4)) b_2)) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))))
(.f64 -1 (.f64 c a))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(pow.f64 b_2 2)
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(pow.f64 b_2 2)
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(pow.f64 b_2 2)
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(.f64 -1 (.f64 c a))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(.f64 -1 (.f64 c a))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(pow.f64 b_2 2)
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(.f64 -1 (.f64 c a))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(.f64 -1 (.f64 c a))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(.f64 (sqrt.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (sqrt.f64 -1))
(+.f64 (.f64 (sqrt.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (sqrt.f64 -1)) (.f64 -3/2 (.f64 (sqrt.f64 (.f64 c a)) (.f64 (sqrt.f64 -1) (pow.f64 b_2 2)))))
(+.f64 (.f64 (sqrt.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (sqrt.f64 -1)) (+.f64 (.f64 3/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (sqrt.f64 -1) (pow.f64 b_2 4)))) (.f64 -3/2 (.f64 (sqrt.f64 (.f64 c a)) (.f64 (sqrt.f64 -1) (pow.f64 b_2 2))))))
(+.f64 (.f64 (sqrt.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (sqrt.f64 -1)) (+.f64 (.f64 3/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (sqrt.f64 -1) (pow.f64 b_2 4)))) (+.f64 (.f64 -3/2 (.f64 (sqrt.f64 (.f64 c a)) (.f64 (sqrt.f64 -1) (pow.f64 b_2 2)))) (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (.f64 (sqrt.f64 -1) (pow.f64 b_2 6)))))))
(pow.f64 b_2 3)
(+.f64 (pow.f64 b_2 3) (.f64 -3/2 (.f64 c (*.f64 a b_2))))
(+.f64 (.f64 -3/4 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) b_2)) (+.f64 (pow.f64 b_2 3) (+.f64 (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) b_2)) (.f64 -3/2 (.f64 c (*.f64 a b_2))))))
(+.f64 (.f64 -3/4 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) b_2)) (+.f64 (pow.f64 b_2 3) (+.f64 (.f64 9/8 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 3))) (+.f64 (.f64 -9/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 3))) (+.f64 (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) b_2)) (+.f64 (.f64 -3/2 (.f64 c (.f64 a b_2))) (.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 3)))))))))
(*.f64 -1 (pow.f64 b_2 3))
(+.f64 (.f64 -1 (pow.f64 b_2 3)) (.f64 3/2 (.f64 c (.f64 a b_2))))
(+.f64 (.f64 -1 (pow.f64 b_2 3)) (+.f64 (.f64 3/2 (.f64 c (.f64 a b_2))) (.f64 -1 (/.f64 (+.f64 (.f64 9/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 -3/4 (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) b_2))))
(+.f64 (.f64 -1 (pow.f64 b_2 3)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -9/16 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (.f64 9/8 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (.f64 -1/2 (.f64 (pow.f64 c 3) (pow.f64 a 3))))) (pow.f64 b_2 3))) (+.f64 (.f64 3/2 (.f64 c (.f64 a b_2))) (.f64 -1 (/.f64 (+.f64 (.f64 9/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 -3/4 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) b_2)))))
(pow.f64 b_2 3)
(+.f64 (pow.f64 b_2 3) (.f64 -3/2 (.f64 c (*.f64 a b_2))))
(+.f64 (pow.f64 b_2 3) (+.f64 (.f64 -3/2 (.f64 c (.f64 a b_2))) (.f64 (pow.f64 c 2) (.f64 (pow.f64 b_2 3) (+.f64 (.f64 9/8 (/.f64 (pow.f64 a 2) (pow.f64 b_2 4))) (*.f64 -3/4 (/.f64 (pow.f64 a 2) (pow.f64 b_2 4))))))))
(+.f64 (pow.f64 b_2 3) (+.f64 (.f64 (+.f64 (.f64 -9/16 (/.f64 (pow.f64 a 3) (pow.f64 b_2 6))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 a 3) (pow.f64 b_2 6))) (.f64 9/8 (/.f64 (pow.f64 a 3) (pow.f64 b_2 6))))) (.f64 (pow.f64 c 3) (pow.f64 b_2 3))) (+.f64 (.f64 -3/2 (.f64 c (.f64 a b_2))) (.f64 (pow.f64 c 2) (.f64 (pow.f64 b_2 3) (+.f64 (.f64 9/8 (/.f64 (pow.f64 a 2) (pow.f64 b_2 4))) (.f64 -3/4 (/.f64 (pow.f64 a 2) (pow.f64 b_2 4)))))))))
(exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c))))))
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(fma.f64 -1 (.f64 c a) (.f64 b_2 b_2))
(fma.f64 (+.f64 b_2 (sqrt.f64 (.f64 c a))) (-.f64 b_2 (sqrt.f64 (.f64 c a))) (fma.f64 c (neg.f64 a) (*.f64 c a)))
(fma.f64 (+.f64 b_2 (sqrt.f64 (.f64 c a))) (-.f64 b_2 (sqrt.f64 (.f64 c a))) (fma.f64 (.f64 a (neg.f64 c)) 1 (.f64 c a)))
(fma.f64 (+.f64 b_2 (sqrt.f64 (.f64 c a))) (-.f64 b_2 (sqrt.f64 (.f64 c a))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 c a))) (pow.f64 (cbrt.f64 (.f64 c a)) 2) (*.f64 c a)))
(fma.f64 (+.f64 b_2 (sqrt.f64 (.f64 c a))) (-.f64 b_2 (sqrt.f64 (.f64 c a))) (.f64 (fma.f64 c (neg.f64 a) (.f64 c a)) 1))
(fma.f64 (+.f64 b_2 (sqrt.f64 (.f64 c a))) (-.f64 b_2 (sqrt.f64 (.f64 c a))) (+.f64 (fma.f64 c (neg.f64 a) (.f64 c a)) (fma.f64 c (neg.f64 a) (.f64 c a))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 c a)) 2)) (cbrt.f64 (.f64 c a)) (*.f64 b_2 b_2))
(fma.f64 (.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))) (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/6) (fma.f64 c (neg.f64 a) (*.f64 c a)))
(fma.f64 (.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))) (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/6) (fma.f64 (.f64 a (neg.f64 c)) 1 (.f64 c a)))
(fma.f64 (.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))) (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/6) (fma.f64 (neg.f64 (cbrt.f64 (.f64 c a))) (pow.f64 (cbrt.f64 (.f64 c a)) 2) (*.f64 c a)))
(fma.f64 (.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))) (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/6) (.f64 (fma.f64 c (neg.f64 a) (.f64 c a)) 1))
(fma.f64 (.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))) (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/6) (+.f64 (fma.f64 c (neg.f64 a) (.f64 c a)) (fma.f64 c (neg.f64 a) (.f64 c a))))
(fma.f64 (.f64 b_2 (cbrt.f64 (.f64 b_2 b_2))) (cbrt.f64 b_2) (*.f64 a (neg.f64 c)))
(fma.f64 (.f64 b_2 (cbrt.f64 (.f64 b_2 b_2))) (cbrt.f64 b_2) (.f64 (.f64 a (neg.f64 c)) 1))
(fma.f64 (.f64 b_2 (cbrt.f64 (.f64 b_2 b_2))) (cbrt.f64 b_2) (fma.f64 c (neg.f64 a) (fma.f64 c (neg.f64 a) (*.f64 c a))))
(fma.f64 (.f64 b_2 (cbrt.f64 (.f64 b_2 b_2))) (cbrt.f64 b_2) (neg.f64 (-.f64 (.f64 c a) (fma.f64 c (neg.f64 a) (.f64 c a)))))
(fma.f64 (.f64 (neg.f64 c) 1) a (.f64 b_2 b_2))
(fma.f64 (.f64 (neg.f64 c) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) (.f64 b_2 b_2))
(fma.f64 (.f64 (neg.f64 c) (sqrt.f64 a)) (sqrt.f64 a) (.f64 b_2 b_2))
(+.f64 0 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3/2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3/2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3/2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3/2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3/2))) 1)
(.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))
(.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)) 3/2) 1)
(.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))) (-.f64 (.f64 b_2 b_2) (.f64 c a)))
(.f64 1 (pow.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)) 3/2))
(.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3/4) (pow.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)) 3/4))
(.f64 (pow.f64 1 3/2) (pow.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)) 3/2))
(.f64 (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/6))
(.f64 (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/4)) (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/4))
(sqrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3))
(log.f64 (exp.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3/2))))
(cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 9/2))
(expm1.f64 (log1p.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3/2)))
(log1p.f64 (expm1.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3/2)))
(exp.f64 (.f64 3/2 (log.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)))))
(exp.f64 (.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) 3))
(exp.f64 (.f64 (.f64 3/2 (log.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) 1))

Outputs
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1)))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2))) (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1))))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 c a) 3))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1))))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2))) (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 c a) 3))) (/.f64 (pow.f64 b_2 4) (*.f64 -1 (sqrt.f64 -1)))))))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 -1) 5)))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 -1) 5))) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 c a) 3))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1)))))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 -1) 5))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2))) (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 c a) 3))) (/.f64 (pow.f64 b_2 4) (*.f64 -1 (sqrt.f64 -1))))))))
b_2
(+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 b_2 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))))
(fma.f64 -1/2 (*.f64 (/.f64 c b_2) a) b_2)
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (+.f64 b_2 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))))
(fma.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) (fma.f64 -1/2 (.f64 (/.f64 c b_2) a) b_2))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))))
(fma.f64 -1/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 5)) (fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (+.f64 b_2 (.f64 -1/2 (/.f64 c (/.f64 b_2 a))))))
(fma.f64 -1/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 5)) (fma.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) (fma.f64 -1/2 (*.f64 (/.f64 c b_2) a) b_2)))
(*.f64 -1 b_2)
(neg.f64 b_2)
(+.f64 (.f64 -1 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(fma.f64 -1 b_2 (*.f64 1/2 (/.f64 c (/.f64 b_2 a))))
(fma.f64 1/2 (*.f64 (/.f64 c b_2) a) (neg.f64 b_2))
(+.f64 (.f64 -1 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 c a) b_2))))
(fma.f64 -1 b_2 (fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (*.f64 1/2 (/.f64 c (/.f64 b_2 a)))))
(-.f64 (fma.f64 1/2 (.f64 (/.f64 c b_2) a) (/.f64 1/8 (/.f64 (pow.f64 b_2 3) (pow.f64 (.f64 c a) 2)))) b_2)
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))))
(fma.f64 1/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 5)) (fma.f64 -1 b_2 (fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (.f64 1/2 (/.f64 c (/.f64 b_2 a))))))
(fma.f64 1/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 5)) (-.f64 (fma.f64 1/2 (.f64 (/.f64 c b_2) a) (/.f64 1/8 (/.f64 (pow.f64 b_2 3) (pow.f64 (*.f64 c a) 2)))) b_2))
b_2
(+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 b_2 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))))
(fma.f64 -1/2 (*.f64 (/.f64 c b_2) a) b_2)
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (+.f64 b_2 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))))
(fma.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) (fma.f64 -1/2 (.f64 (/.f64 c b_2) a) b_2))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))))
(fma.f64 -1/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 5)) (fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (+.f64 b_2 (.f64 -1/2 (/.f64 c (/.f64 b_2 a))))))
(fma.f64 -1/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 5)) (fma.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) (fma.f64 -1/2 (*.f64 (/.f64 c b_2) a) b_2)))
b_2
(+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 b_2 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))))
(fma.f64 -1/2 (*.f64 (/.f64 c b_2) a) b_2)
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (+.f64 b_2 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))))
(fma.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) (fma.f64 -1/2 (.f64 (/.f64 c b_2) a) b_2))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))))
(fma.f64 -1/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 5)) (fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (+.f64 b_2 (.f64 -1/2 (/.f64 c (/.f64 b_2 a))))))
(fma.f64 -1/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 5)) (fma.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) (fma.f64 -1/2 (*.f64 (/.f64 c b_2) a) b_2)))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 b_2))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) (neg.f64 b_2))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 -1 b_2) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1))))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (fma.f64 -1 b_2 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1))))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2))) (neg.f64 b_2)))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 -1 b_2) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (fma.f64 -1 b_2 (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 c a) 3))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1)))))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (-.f64 (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2))) (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 c a) 3))) (/.f64 (pow.f64 b_2 4) (*.f64 -1 (sqrt.f64 -1)))))) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(.f64 -1/2 (.f64 (/.f64 c b_2) a))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))))
(fma.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) (.f64 -1/2 (*.f64 (/.f64 c b_2) a)))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(fma.f64 -1/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 5)) (fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (.f64 -1/2 (/.f64 c (/.f64 b_2 a)))))
(fma.f64 -1/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 5)) (fma.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) (.f64 -1/2 (.f64 (/.f64 c b_2) a))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 c 4) (pow.f64 a 4))) (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2)) (pow.f64 b_2 7))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (*.f64 c a) b_2)))))
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(fma.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) (.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))) (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/6)) (fma.f64 c (neg.f64 a) (*.f64 c a)))
(fma.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) (.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))) (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/6)) (.f64 0 (.f64 c a)))
(fma.f64 (.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))) (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/6) (fma.f64 (.f64 a (neg.f64 c)) 1 (.f64 c a)))
(fma.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) (.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))) (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/6)) (fma.f64 c (neg.f64 a) (*.f64 c a)))
(fma.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) (.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))) (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/6)) (.f64 0 (.f64 c a)))
(fma.f64 (.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))) (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/6) (fma.f64 (neg.f64 (cbrt.f64 (.f64 c a))) (pow.f64 (cbrt.f64 (.f64 c a)) 2) (*.f64 c a)))
(fma.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) (.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))) (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/6)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 c a))) (pow.f64 (cbrt.f64 (.f64 c a)) 2) (*.f64 c a)))
(fma.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))) (.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/6) (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 c a))) (pow.f64 (cbrt.f64 (.f64 c a)) 2) (*.f64 c a)))
(fma.f64 (.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))) (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/6) (.f64 (fma.f64 c (neg.f64 a) (.f64 c a)) 1))
(fma.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) (.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))) (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/6)) (fma.f64 c (neg.f64 a) (*.f64 c a)))
(fma.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) (.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))) (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/6)) (.f64 0 (.f64 c a)))
(fma.f64 (.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))) (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/6) (+.f64 (fma.f64 c (neg.f64 a) (.f64 c a)) (fma.f64 c (neg.f64 a) (.f64 c a))))
(fma.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) (.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))) (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/6)) (.f64 2 (fma.f64 c (neg.f64 a) (.f64 c a))))
(fma.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))) (.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/6) (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (.f64 2 (.f64 0 (*.f64 c a))))
(fma.f64 (.f64 b_2 (cbrt.f64 (.f64 b_2 b_2))) (cbrt.f64 b_2) (*.f64 a (neg.f64 c)))
(fma.f64 (cbrt.f64 (.f64 b_2 b_2)) (.f64 b_2 (cbrt.f64 b_2)) (*.f64 a (neg.f64 c)))
(fma.f64 (.f64 b_2 (cbrt.f64 (.f64 b_2 b_2))) (cbrt.f64 b_2) (.f64 (.f64 a (neg.f64 c)) 1))
(fma.f64 (cbrt.f64 (.f64 b_2 b_2)) (.f64 b_2 (cbrt.f64 b_2)) (*.f64 a (neg.f64 c)))
(fma.f64 (.f64 b_2 (cbrt.f64 (.f64 b_2 b_2))) (cbrt.f64 b_2) (fma.f64 c (neg.f64 a) (fma.f64 c (neg.f64 a) (*.f64 c a))))
(fma.f64 (cbrt.f64 (.f64 b_2 b_2)) (.f64 b_2 (cbrt.f64 b_2)) (fma.f64 c (neg.f64 a) (fma.f64 c (neg.f64 a) (*.f64 c a))))
(fma.f64 (cbrt.f64 (.f64 b_2 b_2)) (.f64 b_2 (cbrt.f64 b_2)) (fma.f64 c (neg.f64 a) (.f64 0 (.f64 c a))))
(fma.f64 (.f64 b_2 (cbrt.f64 (.f64 b_2 b_2))) (cbrt.f64 b_2) (neg.f64 (-.f64 (.f64 c a) (fma.f64 c (neg.f64 a) (.f64 c a)))))
(fma.f64 (cbrt.f64 (.f64 b_2 b_2)) (.f64 b_2 (cbrt.f64 b_2)) (fma.f64 c (neg.f64 a) (fma.f64 c (neg.f64 a) (*.f64 c a))))
(fma.f64 (cbrt.f64 (.f64 b_2 b_2)) (.f64 b_2 (cbrt.f64 b_2)) (fma.f64 c (neg.f64 a) (.f64 0 (.f64 c a))))
(fma.f64 (.f64 (neg.f64 c) 1) a (.f64 b_2 b_2))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(fma.f64 (.f64 (neg.f64 c) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) (.f64 b_2 b_2))
(fma.f64 (.f64 c (neg.f64 (pow.f64 (cbrt.f64 a) 2))) (cbrt.f64 a) (.f64 b_2 b_2))
(fma.f64 (.f64 (neg.f64 c) (sqrt.f64 a)) (sqrt.f64 a) (.f64 b_2 b_2))
(+.f64 0 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3/2))
(pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3/2)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3/2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3/2)))))
(.f64 3 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)) 3/2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3/2)))))
(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)) 3/2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3/2))) 1)
(pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3/2)
(.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))
(.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))) (-.f64 (.f64 b_2 b_2) (.f64 c a)))
(.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)) 3/2) 1)
(pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3/2)
(.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))) (-.f64 (.f64 b_2 b_2) (.f64 c a)))
(.f64 1 (pow.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)) 3/2))
(pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3/2)
(.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3/4) (pow.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)) 3/4))
(pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3/2)
(.f64 (pow.f64 1 3/2) (pow.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)) 3/2))
(pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3/2)
(.f64 (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/6))
(.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/6) (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))))
(.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/6) (pow.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))) 4))
(.f64 (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/4)) (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/4))
(.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))))
(sqrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3))
(log.f64 (exp.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3/2)))
(pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3/2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3/2))))
(pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3/2)
(cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 9/2))
(expm1.f64 (log1p.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3/2)))
(pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3/2)
(log1p.f64 (expm1.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3/2)))
(pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3/2)
(exp.f64 (.f64 3/2 (log.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)))))
(pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3/2)
(exp.f64 (.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) 3))
(pow.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) 3)
(exp.f64 (.f64 (.f64 3/2 (log.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) 1))
(pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3/2)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/4) a)
	0.4b	(-.f64 (.f64 b_2 b_2) (.f64 c a))
✓	20.4b	(pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/4)
✓	24.9b	(fma.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/4) (/.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/4) a) (/.f64 (neg.f64 b_2) a))

Compiler

Compiled 71 to 20 computations (71.8% saved)

series46.0ms (0.3%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
7.0ms	b_2	@	0	(fma.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/4) (/.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/4) a) (/.f64 (neg.f64 b_2) a))
5.0ms	a	@	inf	(fma.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/4) (/.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/4) a) (/.f64 (neg.f64 b_2) a))
4.0ms	a	@	-inf	(fma.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/4) (/.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/4) a) (/.f64 (neg.f64 b_2) a))
4.0ms	c	@	inf	(fma.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/4) (/.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/4) a) (/.f64 (neg.f64 b_2) a))
3.0ms	c	@	-inf	(fma.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/4) (/.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/4) a) (/.f64 (neg.f64 b_2) a))

rewrite75.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

695×	`log-prod_binary64`
394×	`fma-def_binary64`
355×	`pow2_binary64`
243×	`pow1/3_binary64`
242×	`expm1-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	66
1	302	50
2	4232	49

Stop Event

1×	node limit

Counts

3 → 90

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

simplify123.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

748×	`fma-def_binary64`
548×	`times-frac_binary64`
463×	`associate-/l*_binary64`
447×	`associate-/r*_binary64`
277×	`*-commutative_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	836	10379
1	2800	8733

Stop Event

1×	node limit

Counts

198 → 412

Calls

Call 1

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

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

eval1.1s (8.1%)

Compiler: Compiled 81126 to 35993 computations (55.6% saved)

prune754.0ms (5.6%)

Pruning

33 alts after pruning (30 fresh and 3 done)

	Pruned	Kept	Total
New	2187	22	2209
Fresh	7	8	15
Picked	1	0	1
Done	2	3	5
Total	2197	33	2230

Error

0.1b

Counts

2230 → 33

Alt Table

Click to see full alt table

Status	Error	Program
	46.3b	(fma.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/4) (/.f64 (pow.f64 (*.f64 (neg.f64 c) a) 1/4) a) (/.f64 (neg.f64 b_2) a))
	36.3b	(fma.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/4) (.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)) 1/4) (/.f64 1 a)) (/.f64 (neg.f64 b_2) a))
▶	36.7b	(pow.f64 (fma.f64 1/2 (/.f64 a b_2) (*.f64 -2 (/.f64 b_2 c))) -1)
	48.9b	(pow.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (*.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c))) b_2)) -1)
	45.0b	(pow.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (*.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 c)))) b_2)) -1)
✓	33.7b	(pow.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2)) -1)
	45.9b	(pow.f64 (/.f64 a (*.f64 b_2 -2)) -1)
	37.1b	(pow.f64 (*.f64 -2 (/.f64 b_2 c)) -1)
	48.4b	(/.f64 (fma.f64 -1/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 5)) (fma.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) (/.f64 -1/2 (/.f64 b_2 (*.f64 c a))))) a)
	47.7b	(/.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2) (sqrt.f64 a)) (sqrt.f64 a))
	35.3b	(/.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/4) 2) b_2) a)
	37.8b	(/.f64 (-.f64 (.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/6) (cbrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)))) b_2) a)
✓	34.8b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
	34.8b	(/.f64 (-.f64 (sqrt.f64 (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 2 (fma.f64 a (neg.f64 c) (.f64 c a))))) b_2) a)
	45.7b	(/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)
	52.9b	(/.f64 (-.f64 (exp.f64 (*.f64 (+.f64 (log.f64 a) (log.f64 (neg.f64 c))) 1/2)) b_2) a)
	49.3b	(/.f64 (-.f64 (cbrt.f64 (pow.f64 (*.f64 a (neg.f64 c)) 3/2)) b_2) a)
	62.1b	(/.f64 (-.f64 (cbrt.f64 (+.f64 (pow.f64 b_2 3) (.f64 -3/2 (.f64 c (*.f64 a b_2))))) b_2) a)
	55.1b	(/.f64 (-.f64 (cbrt.f64 (+.f64 (.f64 -1 (pow.f64 b_2 3)) (.f64 3/2 (.f64 c (.f64 a b_2))))) b_2) a)
	47.4b	(/.f64 (+.f64 (.f64 -2 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2))) a)
	36.7b	(/.f64 (*.f64 c -1/2) b_2)
✓	45.8b	(/.f64 (*.f64 b_2 -2) a)
	43.3b	(/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)
	43.1b	(/.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) a)
	41.4b	(/.f64 (.f64 -1/2 (.f64 (/.f64 c b_2) a)) a)
▶	59.4b	(/.f64 (neg.f64 b_2) a)
▶	54.3b	(-.f64 (/.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (neg.f64 a)) (log.f64 c)) 1/2)) a) (/.f64 b_2 a))
	59.2b	(+.f64 (/.f64 b_2 a) (+.f64 (.f64 -1/2 (/.f64 c b_2)) (.f64 -1 (/.f64 b_2 a))))
▶	46.0b	(+.f64 (*.f64 -2 (/.f64 b_2 a)) (/.f64 1/2 (/.f64 b_2 c)))
▶	33.7b	(.f64 (/.f64 1 a) (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))) b_2))
	45.9b	(*.f64 b_2 (/.f64 -2 a))
	57.1b	(*.f64 1/2 (/.f64 c b_2))
	56.8b	0

Compiler

Compiled 993 to 660 computations (33.5% saved)

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (/.f64 1 a) (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))) b_2))
	0.2b	(-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2)
	13.6b	(sqrt.f64 (neg.f64 (*.f64 a c)))

Compiler

Compiled 51 to 14 computations (72.5% saved)

series10.0ms (0.1%)

Counts

1 → 12

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	c	@	inf	(.f64 (/.f64 1 a) (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))) b_2))
2.0ms	c	@	-inf	(.f64 (/.f64 1 a) (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))) b_2))
1.0ms	a	@	inf	(.f64 (/.f64 1 a) (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))) b_2))
1.0ms	a	@	-inf	(.f64 (/.f64 1 a) (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))) b_2))
1.0ms	c	@	0	(.f64 (/.f64 1 a) (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))) b_2))

rewrite54.0ms (0.4%)

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	17
1	254	15
2	3403	15

Stop Event

1×	node limit

Counts

1 → 51

Calls

Call 1

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

simplify47.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

718×	`associate-/r*_binary64`
648×	`associate-/l*_binary64`
474×	`fma-def_binary64`
326×	`associate-*l/_binary64`
286×	`unswap-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	224	1642
1	609	1491
2	2239	1425

Stop Event

1×	node limit

Counts

63 → 102

Calls

Call 1

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

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

localize4.0ms (0%)

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

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 -2 (/.f64 b_2 a)) (/.f64 1/2 (/.f64 b_2 c)))
	0.0b	(*.f64 -2 (/.f64 b_2 a))
✓	0.8b	(/.f64 1/2 (/.f64 b_2 c))

Compiler

Compiled 35 to 16 computations (54.3% saved)

series4.0ms (0%)

Counts

2 → 60

Calls

15 calls:

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

rewrite61.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 106

Calls

Call 1

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

Outputs

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

simplify56.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

166 → 140

Calls

Call 1

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

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

localize17.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 1/2 (/.f64 a b_2) (*.f64 -2 (/.f64 b_2 c)))
✓	1.0b	(pow.f64 (fma.f64 1/2 (/.f64 a b_2) (*.f64 -2 (/.f64 b_2 c))) -1)

Compiler

Compiled 42 to 20 computations (52.4% saved)

series20.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
11.0ms	a	@	0	(pow.f64 (fma.f64 1/2 (/.f64 a b_2) (*.f64 -2 (/.f64 b_2 c))) -1)
1.0ms	b_2	@	-inf	(pow.f64 (fma.f64 1/2 (/.f64 a b_2) (*.f64 -2 (/.f64 b_2 c))) -1)
1.0ms	a	@	inf	(pow.f64 (fma.f64 1/2 (/.f64 a b_2) (*.f64 -2 (/.f64 b_2 c))) -1)
1.0ms	b_2	@	0	(pow.f64 (fma.f64 1/2 (/.f64 a b_2) (*.f64 -2 (/.f64 b_2 c))) -1)
1.0ms	b_2	@	inf	(pow.f64 (fma.f64 1/2 (/.f64 a b_2) (*.f64 -2 (/.f64 b_2 c))) -1)

rewrite57.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

579×	`log-prod_binary64`
319×	`pow2_binary64`
304×	`pow-prod-down_binary64`
222×	`pow1/3_binary64`
220×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	31
1	255	31
2	3123	31

Stop Event

1×	node limit

Counts

2 → 60

Calls

Call 1

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

Outputs

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

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

simplify61.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

575×	`times-frac_binary64`
467×	`associate-/l*_binary64`
465×	`fma-def_binary64`
379×	`associate-/r*_binary64`
293×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	203	2782
1	502	2722
2	1687	2716

Stop Event

1×	node limit

Counts

132 → 122

Calls

Call 1

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

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

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (neg.f64 a)) (log.f64 c)) 1/2)) a) (/.f64 b_2 a))
✓	0.1b	(/.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (neg.f64 a)) (log.f64 c)) 1/2)) a)
✓	0.1b	(+.f64 (log.f64 (neg.f64 a)) (log.f64 c))
✓	1.6b	(exp.f64 (*.f64 (+.f64 (log.f64 (neg.f64 a)) (log.f64 c)) 1/2))

Compiler

Compiled 66 to 23 computations (65.2% saved)

series164.0ms (1.2%)

Counts

4 → 108

Calls

27 calls:

Time	Variable		Point	Expression
72.0ms	a	@	0	(exp.f64 (*.f64 (+.f64 (log.f64 (neg.f64 a)) (log.f64 c)) 1/2))
24.0ms	a	@	inf	(/.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (neg.f64 a)) (log.f64 c)) 1/2)) a)
24.0ms	c	@	0	(exp.f64 (*.f64 (+.f64 (log.f64 (neg.f64 a)) (log.f64 c)) 1/2))
9.0ms	a	@	-inf	(exp.f64 (*.f64 (+.f64 (log.f64 (neg.f64 a)) (log.f64 c)) 1/2))
7.0ms	a	@	inf	(exp.f64 (*.f64 (+.f64 (log.f64 (neg.f64 a)) (log.f64 c)) 1/2))

rewrite125.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

747×	`log-prod_binary64`
511×	`fma-def_binary64`
330×	`fma-neg_binary64`
261×	`expm1-udef_binary64`
261×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	56
1	311	33
2	4774	33

Stop Event

1×	node limit

Counts

4 → 279

Calls

Call 1

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

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

simplify156.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

979×	`fma-neg_binary64`
369×	`log-prod_binary64`
288×	`fma-def_binary64`
247×	`exp-prod_binary64`
219×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	605	7506
1	1494	6796
2	5606	6568

Stop Event

1×	node limit

Counts

387 → 466

Calls

Call 1

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

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

eval347.0ms (2.6%)

Compiler: Compiled 21580 to 9194 computations (57.4% saved)

prune580.0ms (4.3%)

Pruning

36 alts after pruning (30 fresh and 6 done)

	Pruned	Kept	Total
New	1057	11	1068
Fresh	6	19	25
Picked	1	0	1
Done	1	6	7
Total	1065	36	1101

Error

0.0b

Counts

1101 → 36

Alt Table

Click to see full alt table

Status	Error	Program
	46.3b	(fma.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/4) (/.f64 (pow.f64 (*.f64 (neg.f64 c) a) 1/4) a) (/.f64 (neg.f64 b_2) a))
	37.1b	(pow.f64 (pow.f64 (cbrt.f64 (fma.f64 -2 (/.f64 b_2 c) (/.f64 1/2 (/.f64 b_2 a)))) 3) -1)
	45.0b	(pow.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (*.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 c)))) b_2)) -1)
✓	33.7b	(pow.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2)) -1)
	45.9b	(pow.f64 (/.f64 a (*.f64 b_2 -2)) -1)
	37.1b	(pow.f64 (*.f64 (/.f64 -2 c) b_2) -1)
	62.4b	(pow.f64 (*.f64 a (/.f64 1/2 b_2)) -1)
	48.4b	(/.f64 (fma.f64 -1/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 5)) (fma.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) (/.f64 -1/2 (/.f64 b_2 (*.f64 c a))))) a)
	47.7b	(/.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2) (sqrt.f64 a)) (sqrt.f64 a))
▶	35.3b	(/.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/4) 2) b_2) a)
	37.8b	(/.f64 (-.f64 (.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/6) (cbrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)))) b_2) a)
	53.5b	(/.f64 (-.f64 (*.f64 (pow.f64 c 1/2) (pow.f64 (neg.f64 a) 1/2)) b_2) a)
✓	34.8b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
	45.7b	(/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)
▶	52.9b	(/.f64 (-.f64 (exp.f64 (*.f64 (+.f64 (log.f64 a) (log.f64 (neg.f64 c))) 1/2)) b_2) a)
	49.3b	(/.f64 (-.f64 (cbrt.f64 (pow.f64 (*.f64 a (neg.f64 c)) 3/2)) b_2) a)
	62.1b	(/.f64 (-.f64 (cbrt.f64 (+.f64 (pow.f64 b_2 3) (.f64 -3/2 (.f64 c (*.f64 a b_2))))) b_2) a)
▶	47.4b	(/.f64 (+.f64 (.f64 -2 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2))) a)
	54.7b	(/.f64 (+.f64 a (.f64 (.f64 (/.f64 b_2 c) 2) (.f64 b_2 -2))) (.f64 (*.f64 (/.f64 b_2 c) 2) a))
	36.7b	(/.f64 (*.f64 c -1/2) b_2)
✓	45.8b	(/.f64 (*.f64 b_2 -2) a)
	53.5b	(/.f64 (.f64 1 (-.f64 (.f64 (pow.f64 c 1/2) (pow.f64 (/.f64 -1 a) -1/2)) b_2)) a)
	43.3b	(/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)
	41.4b	(/.f64 (.f64 -1/2 (.f64 (/.f64 c b_2) a)) a)
✓	59.4b	(/.f64 (neg.f64 b_2) a)
▶	36.7b	(/.f64 1 (fma.f64 a (/.f64 1/2 b_2) (*.f64 (/.f64 -2 c) b_2)))
	59.2b	(+.f64 (/.f64 b_2 a) (+.f64 (.f64 -1/2 (/.f64 c b_2)) (.f64 -1 (/.f64 b_2 a))))
	63.7b	(+.f64 (.f64 (/.f64 b_2 a) 2) (/.f64 (+.f64 b_2 (sqrt.f64 (.f64 c a))) a))
✓	46.0b	(+.f64 (*.f64 -2 (/.f64 b_2 a)) (/.f64 1/2 (/.f64 b_2 c)))
	46.0b	(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 (/.f64 1/2 b_2) c))
	45.0b	(.f64 (/.f64 1 a) (-.f64 (hypot.f64 b_2 (.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 c)))) b_2))
✓	33.7b	(.f64 (/.f64 1 a) (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))) b_2))
	45.9b	(*.f64 b_2 (/.f64 -2 a))
	62.4b	(*.f64 2 (/.f64 b_2 a))
▶	57.1b	(*.f64 1/2 (/.f64 c b_2))
	56.8b	0

Compiler

Compiled 988 to 678 computations (31.4% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(-.f64 (.f64 b_2 b_2) (.f64 c a))
✓	0.5b	(pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/4) 2)
✓	13.2b	(-.f64 (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/4) 2) b_2)
	20.4b	(pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/4)

Compiler

Compiled 69 to 25 computations (63.8% saved)

series24.0ms (0.2%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	a	@	0	(-.f64 (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/4) 2) b_2)
2.0ms	c	@	0	(-.f64 (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/4) 2) b_2)
2.0ms	a	@	-inf	(-.f64 (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/4) 2) b_2)
2.0ms	a	@	inf	(-.f64 (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/4) 2) b_2)
2.0ms	c	@	inf	(-.f64 (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/4) 2) b_2)

rewrite95.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	29
1	283	27
2	3702	25

Stop Event

1×	node limit

Counts

2 → 135

Calls

Call 1

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

Outputs

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

simplify114.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

672×	`fma-def_binary64`
445×	`associate-r_binary64`
329×	`associate-l_binary64`
291×	`times-frac_binary64`
280×	`associate-+l+_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	702	9272
1	2248	8073

Stop Event

1×	node limit

Counts

207 → 363

Calls

Call 1

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

Outputs
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 b_2))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) (neg.f64 b_2))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 -1 b_2) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (*.f64 (sqrt.f64 -1) (pow.f64 b_2 2))))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (fma.f64 -1 b_2 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (sqrt.f64 -1) (.f64 b_2 b_2))))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (-.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (.f64 (sqrt.f64 -1) (.f64 b_2 b_2)) -1/2)) b_2))
(+.f64 (.f64 (pow.f64 b_2 4) (+.f64 (.f64 -3/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (sqrt.f64 -1))) (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (sqrt.f64 -1))))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 -1 b_2) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (sqrt.f64 -1) (pow.f64 b_2 2)))))))
(fma.f64 (pow.f64 b_2 4) (.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (pow.f64 (.f64 c a) 3)))) -1/8) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (fma.f64 -1 b_2 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (sqrt.f64 -1) (*.f64 b_2 b_2)))))))
(fma.f64 (pow.f64 b_2 4) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 c a) 3))) (.f64 (sqrt.f64 -1) -1/8)) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (-.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (.f64 (sqrt.f64 -1) (*.f64 b_2 b_2)) -1/2)) b_2)))
(*.f64 -1 b_2)
(neg.f64 b_2)
(+.f64 (*.f64 -1 b_2) b_2)
(*.f64 0 b_2)
0
(+.f64 (.f64 -1 b_2) (+.f64 b_2 (.f64 -1/2 (/.f64 (*.f64 c a) b_2))))
(+.f64 (.f64 0 b_2) (.f64 -1/2 (/.f64 c (/.f64 b_2 a))))
(+.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) 0)
(+.f64 (.f64 -1 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (*.f64 c a) b_2))))))
(fma.f64 -1 b_2 (fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (+.f64 b_2 (fma.f64 -1/4 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))))))
(-.f64 (+.f64 (.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) -1/8) (fma.f64 -1/2 (/.f64 c (/.f64 b_2 a)) b_2)) b_2)
(*.f64 -1 b_2)
(neg.f64 b_2)
(.f64 2 (.f64 -1 b_2))
(*.f64 -2 b_2)
(*.f64 b_2 -2)
(+.f64 (.f64 2 (.f64 -1 b_2)) (.f64 1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -2 b_2) (.f64 (/.f64 c (/.f64 b_2 a)) 1/2))
(fma.f64 (/.f64 c (/.f64 b_2 a)) 1/2 (*.f64 b_2 -2))
(+.f64 (.f64 2 (.f64 -1 b_2)) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 1/4 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))))))
(+.f64 (.f64 -2 b_2) (fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) (/.f64 (.f64 1/4 (.f64 (.f64 c c) (*.f64 a a))) (pow.f64 b_2 3)))))
(fma.f64 -2 b_2 (fma.f64 1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) (.f64 (/.f64 c (/.f64 b_2 a)) 1/2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(+.f64 (.f64 (pow.f64 c 2) (+.f64 (.f64 2 (.f64 b_2 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 b_2 4))) (.f64 1/32 (/.f64 (pow.f64 a 2) (pow.f64 b_2 4)))))) (.f64 1/16 (/.f64 (pow.f64 a 2) (pow.f64 b_2 3))))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(fma.f64 (.f64 c c) (fma.f64 2 (.f64 b_2 (.f64 (/.f64 (.f64 a a) (pow.f64 b_2 4)) -3/32)) (.f64 1/16 (/.f64 (.f64 a a) (pow.f64 b_2 3)))) (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))))
(fma.f64 (.f64 c c) (fma.f64 2 (.f64 (/.f64 (.f64 a a) (pow.f64 b_2 4)) (.f64 -3/32 b_2)) (/.f64 (.f64 1/16 (.f64 a a)) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))))
(+.f64 (.f64 (pow.f64 c 3) (+.f64 (.f64 (+.f64 (.f64 -1/384 (/.f64 (pow.f64 a 3) (pow.f64 b_2 6))) (+.f64 (.f64 -1/12 (/.f64 (pow.f64 a 3) (pow.f64 b_2 6))) (.f64 1/32 (/.f64 (pow.f64 a 3) (pow.f64 b_2 6))))) b_2) (+.f64 (.f64 b_2 (+.f64 (.f64 -1/384 (/.f64 (pow.f64 a 3) (pow.f64 b_2 6))) (+.f64 (.f64 -1/12 (/.f64 (pow.f64 a 3) (pow.f64 b_2 6))) (.f64 1/32 (/.f64 (pow.f64 a 3) (pow.f64 b_2 6)))))) (.f64 -1/2 (/.f64 (.f64 a (+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 b_2 4))) (.f64 1/32 (/.f64 (pow.f64 a 2) (pow.f64 b_2 4))))) b_2))))) (+.f64 (.f64 (pow.f64 c 2) (+.f64 (.f64 2 (.f64 b_2 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 b_2 4))) (.f64 1/32 (/.f64 (pow.f64 a 2) (pow.f64 b_2 4)))))) (.f64 1/16 (/.f64 (pow.f64 a 2) (pow.f64 b_2 3))))) (.f64 -1/2 (/.f64 (*.f64 c a) b_2))))
(fma.f64 (pow.f64 c 3) (fma.f64 b_2 (fma.f64 -1/384 (/.f64 (pow.f64 a 3) (pow.f64 b_2 6)) (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b_2 6)) -5/96)) (fma.f64 b_2 (fma.f64 -1/384 (/.f64 (pow.f64 a 3) (pow.f64 b_2 6)) (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b_2 6)) -5/96)) (.f64 -1/2 (/.f64 a (/.f64 b_2 (.f64 (/.f64 (.f64 a a) (pow.f64 b_2 4)) -3/32)))))) (fma.f64 (.f64 c c) (fma.f64 2 (.f64 b_2 (.f64 (/.f64 (.f64 a a) (pow.f64 b_2 4)) -3/32)) (.f64 1/16 (/.f64 (.f64 a a) (pow.f64 b_2 3)))) (.f64 -1/2 (/.f64 c (/.f64 b_2 a)))))
(fma.f64 (pow.f64 c 3) (+.f64 (.f64 -1/2 (/.f64 a (/.f64 (/.f64 b_2 (/.f64 (.f64 a a) (pow.f64 b_2 4))) -3/32))) (.f64 2 (.f64 b_2 (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b_2 6)) -7/128)))) (fma.f64 (.f64 c c) (fma.f64 2 (.f64 (/.f64 (.f64 a a) (pow.f64 b_2 4)) (.f64 -3/32 b_2)) (/.f64 (.f64 1/16 (.f64 a a)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 c (/.f64 b_2 a)))))
(+.f64 (.f64 (pow.f64 c 3) (+.f64 (.f64 (+.f64 (.f64 -1/384 (/.f64 (pow.f64 a 3) (pow.f64 b_2 6))) (+.f64 (.f64 -1/12 (/.f64 (pow.f64 a 3) (pow.f64 b_2 6))) (.f64 1/32 (/.f64 (pow.f64 a 3) (pow.f64 b_2 6))))) b_2) (+.f64 (.f64 b_2 (+.f64 (.f64 -1/384 (/.f64 (pow.f64 a 3) (pow.f64 b_2 6))) (+.f64 (.f64 -1/12 (/.f64 (pow.f64 a 3) (pow.f64 b_2 6))) (.f64 1/32 (/.f64 (pow.f64 a 3) (pow.f64 b_2 6)))))) (.f64 -1/2 (/.f64 (.f64 a (+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 b_2 4))) (.f64 1/32 (/.f64 (pow.f64 a 2) (pow.f64 b_2 4))))) b_2))))) (+.f64 (.f64 (pow.f64 c 4) (+.f64 (.f64 2 (.f64 b_2 (+.f64 (.f64 1/48 (/.f64 (pow.f64 a 4) (pow.f64 b_2 8))) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 a 4) (pow.f64 b_2 8))) (+.f64 (.f64 1/6144 (/.f64 (pow.f64 a 4) (pow.f64 b_2 8))) (+.f64 (.f64 -1/256 (/.f64 (pow.f64 a 4) (pow.f64 b_2 8))) (.f64 1/128 (/.f64 (pow.f64 a 4) (pow.f64 b_2 8))))))))) (+.f64 (.f64 b_2 (pow.f64 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 b_2 4))) (.f64 1/32 (/.f64 (pow.f64 a 2) (pow.f64 b_2 4)))) 2)) (.f64 -1/2 (/.f64 (.f64 a (+.f64 (.f64 -1/384 (/.f64 (pow.f64 a 3) (pow.f64 b_2 6))) (+.f64 (.f64 -1/12 (/.f64 (pow.f64 a 3) (pow.f64 b_2 6))) (.f64 1/32 (/.f64 (pow.f64 a 3) (pow.f64 b_2 6)))))) b_2))))) (+.f64 (.f64 (pow.f64 c 2) (+.f64 (.f64 2 (.f64 b_2 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 b_2 4))) (.f64 1/32 (/.f64 (pow.f64 a 2) (pow.f64 b_2 4)))))) (.f64 1/16 (/.f64 (pow.f64 a 2) (pow.f64 b_2 3))))) (.f64 -1/2 (/.f64 (*.f64 c a) b_2)))))
(fma.f64 (pow.f64 c 3) (fma.f64 b_2 (fma.f64 -1/384 (/.f64 (pow.f64 a 3) (pow.f64 b_2 6)) (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b_2 6)) -5/96)) (fma.f64 b_2 (fma.f64 -1/384 (/.f64 (pow.f64 a 3) (pow.f64 b_2 6)) (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b_2 6)) -5/96)) (.f64 -1/2 (/.f64 a (/.f64 b_2 (.f64 (/.f64 (.f64 a a) (pow.f64 b_2 4)) -3/32)))))) (fma.f64 (pow.f64 c 4) (fma.f64 2 (.f64 b_2 (fma.f64 1/48 (/.f64 (pow.f64 a 4) (pow.f64 b_2 8)) (fma.f64 -1/16 (/.f64 (pow.f64 a 4) (pow.f64 b_2 8)) (fma.f64 1/6144 (/.f64 (pow.f64 a 4) (pow.f64 b_2 8)) (.f64 (/.f64 (pow.f64 a 4) (pow.f64 b_2 8)) 1/256))))) (fma.f64 b_2 (pow.f64 (.f64 (/.f64 (.f64 a a) (pow.f64 b_2 4)) -3/32) 2) (.f64 -1/2 (/.f64 a (/.f64 b_2 (fma.f64 -1/384 (/.f64 (pow.f64 a 3) (pow.f64 b_2 6)) (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b_2 6)) -5/96))))))) (fma.f64 (.f64 c c) (fma.f64 2 (.f64 b_2 (.f64 (/.f64 (.f64 a a) (pow.f64 b_2 4)) -3/32)) (.f64 1/16 (/.f64 (.f64 a a) (pow.f64 b_2 3)))) (.f64 -1/2 (/.f64 c (/.f64 b_2 a))))))
(fma.f64 (pow.f64 c 3) (+.f64 (.f64 -1/2 (/.f64 a (/.f64 (/.f64 b_2 (/.f64 (.f64 a a) (pow.f64 b_2 4))) -3/32))) (.f64 2 (.f64 b_2 (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b_2 6)) -7/128)))) (fma.f64 (pow.f64 c 4) (fma.f64 2 (.f64 b_2 (+.f64 (.f64 (/.f64 (pow.f64 a 4) (pow.f64 b_2 8)) -1/24) (.f64 (/.f64 (pow.f64 a 4) (pow.f64 b_2 8)) 25/6144))) (fma.f64 -1/2 (.f64 (/.f64 a b_2) (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b_2 6)) -7/128)) (.f64 b_2 (.f64 (/.f64 (pow.f64 a 4) (pow.f64 b_2 8)) 9/1024)))) (fma.f64 (.f64 c c) (fma.f64 2 (.f64 (/.f64 (.f64 a a) (pow.f64 b_2 4)) (.f64 -3/32 b_2)) (/.f64 (.f64 1/16 (.f64 a a)) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))))))
(-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2) b_2)
(-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 a)) (neg.f64 (neg.f64 (log.f64 c))))) 2) b_2)
(-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 a)) (log.f64 c))) 2) b_2)
(-.f64 (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (.f64 -1/2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b_2 2)) (*.f64 c a)))) b_2)
(+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 a)) (neg.f64 (neg.f64 (log.f64 c))))) 2) (-.f64 (.f64 -1/2 (.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 a)) (neg.f64 (neg.f64 (log.f64 c))))) 2) c) (/.f64 (*.f64 b_2 b_2) a))) b_2))
(-.f64 (fma.f64 -1/2 (*.f64 (/.f64 b_2 (/.f64 c b_2)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 a)) (log.f64 c))) 2) a)) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 a)) (log.f64 c))) 2)) b_2)
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(-.f64 (+.f64 (fma.f64 -1/2 (.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 1 c)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2) c) (/.f64 (.f64 b_2 b_2) a)) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 1 c)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2)) (fma.f64 2 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 1 c)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2) (/.f64 (.f64 a a) (.f64 (/.f64 (pow.f64 b_2 4) (.f64 c c)) -3/32))) (fma.f64 -1 (/.f64 (fma.f64 2 (.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 1 c)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2) (fma.f64 1/384 (/.f64 (pow.f64 b_2 6) (pow.f64 c 3)) (.f64 (/.f64 (pow.f64 b_2 6) (pow.f64 c 3)) 5/96))) (.f64 1/2 (/.f64 (.f64 b_2 b_2) (/.f64 c (.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 1 c)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2) (.f64 (/.f64 (pow.f64 b_2 4) (.f64 c c)) -3/32)))))) (pow.f64 a 3)) (.f64 1/16 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 1 c)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2) (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 4))))))) b_2)
(+.f64 (fma.f64 -1/2 (.f64 (/.f64 b_2 (/.f64 c b_2)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 c) (log.f64 (/.f64 -1 a)))) 2) a)) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 c) (log.f64 (/.f64 -1 a)))) 2)) (-.f64 (fma.f64 2 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 c) (log.f64 (/.f64 -1 a)))) 2) (/.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 4)) -3/32)) (-.f64 (.f64 1/16 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 c) (log.f64 (/.f64 -1 a)))) 2) (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 4)))) (/.f64 (fma.f64 2 (.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 c) (log.f64 (/.f64 -1 a)))) 2) (.f64 (/.f64 (pow.f64 b_2 6) (pow.f64 c 3)) 7/128)) (/.f64 (.f64 (.f64 b_2 b_2) 1/2) (/.f64 (/.f64 c (.f64 (/.f64 (pow.f64 b_2 4) (.f64 c c)) -3/32)) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 c) (log.f64 (/.f64 -1 a)))) 2)))) (pow.f64 a 3)))) b_2))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (sqrt.f64 -1) (pow.f64 b_2 2)))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (sqrt.f64 -1) (.f64 b_2 b_2)))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (.f64 (sqrt.f64 -1) (.f64 b_2 b_2)) -1/2)))
(+.f64 (.f64 (pow.f64 b_2 4) (+.f64 (.f64 -3/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (sqrt.f64 -1))) (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (sqrt.f64 -1))))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (*.f64 (sqrt.f64 -1) (pow.f64 b_2 2))))))
(fma.f64 (pow.f64 b_2 4) (.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (pow.f64 (.f64 c a) 3)))) -1/8) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (sqrt.f64 -1) (*.f64 b_2 b_2))))))
(fma.f64 (pow.f64 b_2 4) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 c a) 3))) (.f64 (sqrt.f64 -1) -1/8)) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (.f64 (sqrt.f64 -1) (*.f64 b_2 b_2)) -1/2))))
(+.f64 (.f64 (pow.f64 b_2 4) (+.f64 (.f64 -3/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (sqrt.f64 -1))) (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (sqrt.f64 -1))))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (sqrt.f64 -1) (pow.f64 b_2 2)))) (.f64 (pow.f64 b_2 6) (+.f64 (.f64 -7/64 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (sqrt.f64 -1))) (.f64 3/64 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (sqrt.f64 -1))))))))
(fma.f64 (pow.f64 b_2 4) (.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (pow.f64 (.f64 c a) 3)))) -1/8) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (sqrt.f64 -1) (.f64 b_2 b_2))) (.f64 (pow.f64 b_2 6) (.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5))))) -1/16)))))
(fma.f64 (pow.f64 b_2 4) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 c a) 3))) (.f64 (sqrt.f64 -1) -1/8)) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (fma.f64 (pow.f64 b_2 6) (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (.f64 (sqrt.f64 -1) -1/16)) (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (.f64 (sqrt.f64 -1) (.f64 b_2 b_2)) -1/2)))))
b_2
(+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 b_2 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))))
(fma.f64 -1/2 (/.f64 c (/.f64 b_2 a)) b_2)
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))))
(fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (fma.f64 -1/4 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (+.f64 b_2 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))))))
(+.f64 (.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) -1/8) (fma.f64 -1/2 (/.f64 c (/.f64 b_2 a)) b_2))
(+.f64 (.f64 2 (/.f64 (+.f64 (.f64 1/32 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (.f64 -1/384 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (.f64 -1/12 (.f64 (pow.f64 c 3) (pow.f64 a 3))))) (pow.f64 b_2 5))) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (+.f64 (.f64 -1/2 (/.f64 (.f64 c (.f64 (+.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 1/32 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) a)) (pow.f64 b_2 5))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))))))
(fma.f64 2 (/.f64 (fma.f64 1/32 (pow.f64 (.f64 c a) 3) (.f64 (pow.f64 (.f64 c a) 3) -11/128)) (pow.f64 b_2 5)) (fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (fma.f64 -1/4 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (+.f64 b_2 (.f64 -1/2 (+.f64 (/.f64 c (/.f64 (pow.f64 b_2 5) (.f64 a (.f64 (.f64 (.f64 c c) (*.f64 a a)) -3/32)))) (/.f64 c (/.f64 b_2 a))))))))
(fma.f64 2 (/.f64 (.f64 (pow.f64 (.f64 c a) 3) -7/128) (pow.f64 b_2 5)) (+.f64 (.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) -1/8) (fma.f64 -1/2 (+.f64 (.f64 (/.f64 c (pow.f64 b_2 5)) (.f64 (pow.f64 (.f64 c a) 2) (.f64 -3/32 a))) (/.f64 c (/.f64 b_2 a))) b_2)))
(*.f64 -1 b_2)
(neg.f64 b_2)
(+.f64 (.f64 -1 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(fma.f64 -1 b_2 (*.f64 (/.f64 c (/.f64 b_2 a)) 1/2))
(-.f64 (*.f64 (/.f64 c (/.f64 b_2 a)) 1/2) b_2)
(+.f64 (.f64 -1 b_2) (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 1/4 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))))))
(fma.f64 -1 b_2 (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) (.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a a))))))
(-.f64 (fma.f64 1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) (.f64 (/.f64 c (/.f64 b_2 a)) 1/2)) b_2)
(+.f64 (.f64 -1 b_2) (+.f64 (.f64 1/2 (/.f64 (.f64 c (.f64 (+.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 1/32 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) a)) (pow.f64 b_2 5))) (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 1/32 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (.f64 -1/384 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (.f64 -1/12 (.f64 (pow.f64 c 3) (pow.f64 a 3))))) (pow.f64 b_2 5))) (.f64 1/4 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))))))))
(fma.f64 -1 b_2 (fma.f64 1/2 (/.f64 c (/.f64 (pow.f64 b_2 5) (.f64 a (.f64 (.f64 (.f64 c c) (.f64 a a)) -3/32)))) (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) (fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (fma.f64 -2 (/.f64 (fma.f64 1/32 (pow.f64 (.f64 c a) 3) (.f64 (pow.f64 (.f64 c a) 3) -11/128)) (pow.f64 b_2 5)) (/.f64 (.f64 1/4 (.f64 (.f64 c c) (.f64 a a))) (pow.f64 b_2 3)))))))
(-.f64 (fma.f64 1/2 (.f64 (/.f64 c (pow.f64 b_2 5)) (.f64 (pow.f64 (.f64 c a) 2) (.f64 -3/32 a))) (fma.f64 (/.f64 c (/.f64 b_2 a)) 1/2 (+.f64 (.f64 (/.f64 (.f64 (pow.f64 (.f64 c a) 3) -7/128) (pow.f64 b_2 5)) -2) (.f64 1/8 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3)))))) b_2)
b_2
(+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 b_2 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))))
(fma.f64 -1/2 (/.f64 c (/.f64 b_2 a)) b_2)
(+.f64 b_2 (+.f64 (.f64 (pow.f64 c 2) (+.f64 (.f64 2 (.f64 b_2 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 b_2 4))) (.f64 1/32 (/.f64 (pow.f64 a 2) (pow.f64 b_2 4)))))) (.f64 1/16 (/.f64 (pow.f64 a 2) (pow.f64 b_2 3))))) (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(+.f64 b_2 (fma.f64 (.f64 c c) (fma.f64 2 (.f64 b_2 (.f64 (/.f64 (.f64 a a) (pow.f64 b_2 4)) -3/32)) (.f64 1/16 (/.f64 (.f64 a a) (pow.f64 b_2 3)))) (*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))))
(+.f64 b_2 (fma.f64 (.f64 c c) (fma.f64 2 (.f64 (/.f64 (.f64 a a) (pow.f64 b_2 4)) (.f64 -3/32 b_2)) (/.f64 (.f64 1/16 (.f64 a a)) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))))
(+.f64 (.f64 (pow.f64 c 3) (+.f64 (.f64 b_2 (+.f64 (.f64 -1/384 (/.f64 (pow.f64 a 3) (pow.f64 b_2 6))) (+.f64 (.f64 -1/12 (/.f64 (pow.f64 a 3) (pow.f64 b_2 6))) (.f64 1/32 (/.f64 (pow.f64 a 3) (pow.f64 b_2 6)))))) (+.f64 (.f64 (+.f64 (.f64 -1/384 (/.f64 (pow.f64 a 3) (pow.f64 b_2 6))) (+.f64 (.f64 -1/12 (/.f64 (pow.f64 a 3) (pow.f64 b_2 6))) (.f64 1/32 (/.f64 (pow.f64 a 3) (pow.f64 b_2 6))))) b_2) (.f64 -1/2 (/.f64 (.f64 a (+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 b_2 4))) (.f64 1/32 (/.f64 (pow.f64 a 2) (pow.f64 b_2 4))))) b_2))))) (+.f64 b_2 (+.f64 (.f64 (pow.f64 c 2) (+.f64 (.f64 2 (.f64 b_2 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 b_2 4))) (.f64 1/32 (/.f64 (pow.f64 a 2) (pow.f64 b_2 4)))))) (.f64 1/16 (/.f64 (pow.f64 a 2) (pow.f64 b_2 3))))) (.f64 -1/2 (/.f64 (*.f64 c a) b_2)))))
(fma.f64 (pow.f64 c 3) (fma.f64 b_2 (fma.f64 -1/384 (/.f64 (pow.f64 a 3) (pow.f64 b_2 6)) (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b_2 6)) -5/96)) (fma.f64 b_2 (fma.f64 -1/384 (/.f64 (pow.f64 a 3) (pow.f64 b_2 6)) (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b_2 6)) -5/96)) (.f64 -1/2 (/.f64 a (/.f64 b_2 (.f64 (/.f64 (.f64 a a) (pow.f64 b_2 4)) -3/32)))))) (+.f64 b_2 (fma.f64 (.f64 c c) (fma.f64 2 (.f64 b_2 (.f64 (/.f64 (.f64 a a) (pow.f64 b_2 4)) -3/32)) (.f64 1/16 (/.f64 (.f64 a a) (pow.f64 b_2 3)))) (.f64 -1/2 (/.f64 c (/.f64 b_2 a))))))
(+.f64 b_2 (fma.f64 (pow.f64 c 3) (+.f64 (.f64 -1/2 (/.f64 a (/.f64 (/.f64 b_2 (/.f64 (.f64 a a) (pow.f64 b_2 4))) -3/32))) (.f64 2 (.f64 b_2 (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b_2 6)) -7/128)))) (fma.f64 (.f64 c c) (fma.f64 2 (.f64 (/.f64 (.f64 a a) (pow.f64 b_2 4)) (.f64 -3/32 b_2)) (/.f64 (.f64 1/16 (.f64 a a)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 c (/.f64 b_2 a))))))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 a)) (neg.f64 (neg.f64 (log.f64 c))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 a)) (log.f64 c))) 2)
(+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (.f64 -1/2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b_2 2)) (*.f64 c a))))
(+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 a)) (neg.f64 (neg.f64 (log.f64 c))))) 2) (.f64 -1/2 (.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 a)) (neg.f64 (neg.f64 (log.f64 c))))) 2) c) (/.f64 (*.f64 b_2 b_2) a))))
(fma.f64 -1/2 (*.f64 (/.f64 b_2 (/.f64 c b_2)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 a)) (log.f64 c))) 2) a)) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 a)) (log.f64 c))) 2))
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(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2)
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b_2
(+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 b_2 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))))
(fma.f64 -1/2 (/.f64 c (/.f64 b_2 a)) b_2)
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(fma.f64 (.f64 a a) (fma.f64 2 (.f64 (/.f64 c (/.f64 (pow.f64 b_2 4) c)) (.f64 -3/32 b_2)) (.f64 1/16 (/.f64 (.f64 c c) (pow.f64 b_2 3)))) (fma.f64 (pow.f64 a 3) (fma.f64 -1/2 (/.f64 (.f64 (/.f64 c (/.f64 (pow.f64 b_2 4) c)) (.f64 -3/32 c)) b_2) (.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 6)) -7/128) (.f64 b_2 2))) (fma.f64 -1/2 (/.f64 c (/.f64 b_2 a)) b_2)))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) 2)
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(fma.f64 (neg.f64 (sqrt.f64 b_2)) (sqrt.f64 b_2) (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))))
(fma.f64 (sqrt.f64 b_2) (neg.f64 (sqrt.f64 b_2)) (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))))
(fma.f64 (sqrt.f64 b_2) (neg.f64 (sqrt.f64 b_2)) (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))
(fma.f64 (pow.f64 1 1/2) (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)))) b_2)
(-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) b_2)
(fma.f64 (pow.f64 1 1/2) (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) (.f64 (neg.f64 b_2) 1))
(-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2)
(-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) b_2)
(fma.f64 -1 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))))
(-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2)
(-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) b_2)
(fma.f64 (+.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/4) (sqrt.f64 b_2)) (-.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 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 c a)) 1/4) (sqrt.f64 b_2)) (-.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/4) (sqrt.f64 b_2)) (*.f64 0 b_2))
(fma.f64 (+.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/4) (sqrt.f64 b_2)) (-.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/4) (sqrt.f64 b_2)) 0)
(fma.f64 (+.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/4) (sqrt.f64 b_2)) (-.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 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 c a)) 1/4) (sqrt.f64 b_2)) (-.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/4) (sqrt.f64 b_2)) (+.f64 (neg.f64 b_2) b_2))
(fma.f64 (+.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/4) (sqrt.f64 b_2)) (-.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/4) (sqrt.f64 b_2)) (*.f64 0 b_2))
(fma.f64 (+.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/4) (sqrt.f64 b_2)) (-.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/4) (sqrt.f64 b_2)) 0)
(fma.f64 (.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/4) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))))) (cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/4)) (neg.f64 b_2))
(fma.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a))))) (.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/4) (cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/4))) (neg.f64 b_2))
(-.f64 (.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/4) (.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/4)) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))) b_2)
(fma.f64 (.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/4) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))))) (cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/4)) (*.f64 (neg.f64 b_2) 1))
(fma.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a))))) (.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/4) (cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/4))) (neg.f64 b_2))
(-.f64 (.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/4) (.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/4)) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))) b_2)
(+.f64 0 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))))
(hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))
(hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))))) 2)) (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 a (neg.f64 c))))))))
(+.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 2 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))))) 1)
(hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))
(hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))
(.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/4) (pow.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)) 1/4))
(pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/2)
(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c 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))))
(hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))
(.f64 1 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))))
(hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))
(hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))
(.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a))))) (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))
(.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))
(.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a))))) (.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/4)) (pow.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)) 1/4)))
(.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a))))) (.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/4) (cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)) 1/4))))
(.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/4) (.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/4)) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))))
(.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 (-.f64 (.f64 b_2 b_2) (.f64 c a))))
(.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))
(.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/8) (.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/8) (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/4)))
(pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/2)
(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))
(.f64 (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/8) 3) (pow.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)) 1/8))
(pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/2)
(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))
(.f64 (sqrt.f64 (cbrt.f64 (pow.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 (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))))
(hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))
(.f64 (.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/4) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))))) (cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)) 1/4)))
(.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a))))) (.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/4) (cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)) 1/4))))
(.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/4) (.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/4)) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 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 c a) 3))) (sqrt.f64 (fma.f64 (.f64 c a) (fma.f64 b_2 b_2 (*.f64 c a)) (pow.f64 b_2 4))))
(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))
(pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/2)
(fabs.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))))
(fabs.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))
(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))))
(hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))
(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))))
(hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))
(cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3/2))
(hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))
(hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))
(hypot.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) (sqrt.f64 (fma.f64 c (neg.f64 a) (.f64 c a))))
(hypot.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))) (sqrt.f64 (.f64 c (+.f64 (neg.f64 a) a))))
(hypot.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (.f64 c a))) (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))))
(hypot.f64 (sqrt.f64 (.f64 c (+.f64 (neg.f64 a) a))) (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))
(hypot.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2)
(hypot.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) b_2)
(expm1.f64 (log1p.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))))
(hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))
(hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))
(log1p.f64 (expm1.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))))
(hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))
(hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))
(exp.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))))
(hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))
(hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))
(exp.f64 (.f64 (log.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))) 1/2))
(pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/2)
(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))
(exp.f64 (.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a))))) 1))
(hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))
(hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.0b	(*.f64 1/2 (/.f64 c b_2))

Compiler

Compiled 14 to 7 computations (50% saved)

localize16.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 1/2 (/.f64 (.f64 c a) b_2))
✓	3.3b	(/.f64 (+.f64 (.f64 -2 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2))) a)
✓	5.4b	(/.f64 (*.f64 c a) b_2)

Compiler

Compiled 50 to 22 computations (56% saved)

series17.0ms (0.1%)

Counts

3 → 36

Calls

27 calls:

Time	Variable		Point	Expression
5.0ms	a	@	-inf	(.f64 1/2 (/.f64 (.f64 c a) b_2))
1.0ms	b_2	@	inf	(/.f64 (+.f64 (.f64 -2 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2))) a)
1.0ms	a	@	-inf	(/.f64 (+.f64 (.f64 -2 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2))) a)
1.0ms	b_2	@	0	(/.f64 (+.f64 (.f64 -2 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2))) a)
1.0ms	c	@	0	(/.f64 (*.f64 c a) b_2)

rewrite66.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	34
1	267	34
2	3798	34

Stop Event

1×	node limit

Counts

3 → 117

Calls

Call 1

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

Outputs

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

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

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

simplify61.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

711×	`fma-def_binary64`
540×	`unswap-sqr_binary64`
518×	`distribute-rgt-in_binary64`
510×	`distribute-lft-in_binary64`
314×	`log-prod_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	272	2242
1	655	1945
2	2382	1945

Stop Event

1×	node limit

Counts

153 → 162

Calls

Call 1

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

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

localize21.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 a (/.f64 1/2 b_2) (*.f64 (/.f64 -2 c) b_2))
✓	0.2b	(*.f64 (/.f64 -2 c) b_2)
✓	1.0b	(/.f64 1 (fma.f64 a (/.f64 1/2 b_2) (*.f64 (/.f64 -2 c) b_2)))

Compiler

Compiled 42 to 27 computations (35.7% saved)

series9.0ms (0.1%)

Counts

3 → 96

Calls

24 calls:

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

rewrite57.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

544×	`log-prod_binary64`
313×	`pow2_binary64`
309×	`pow-prod-down_binary64`
264×	`prod-diff_binary64`
219×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	38
1	255	38
2	3039	38

Stop Event

1×	node limit

Counts

3 → 107

Calls

Call 1

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

Outputs

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

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

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

simplify171.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

585×	`unswap-sqr_binary64`
518×	`distribute-rgt-in_binary64`
243×	`cancel-sign-sub-inv_binary64`
200×	`log-prod_binary64`
194×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	285	3564
1	689	3493
2	2634	3489

Stop Event

1×	node limit

Counts

203 → 180

Calls

Call 1

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

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

localize19.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (-.f64 (exp.f64 (*.f64 (+.f64 (log.f64 a) (log.f64 (neg.f64 c))) 1/2)) b_2) a)
✓	0.2b	(+.f64 (log.f64 a) (log.f64 (neg.f64 c)))
✓	2.0b	(exp.f64 (*.f64 (+.f64 (log.f64 a) (log.f64 (neg.f64 c))) 1/2))

Compiler

Compiled 61 to 22 computations (63.9% saved)

series225.0ms (1.7%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
152.0ms	a	@	0	(exp.f64 (*.f64 (+.f64 (log.f64 a) (log.f64 (neg.f64 c))) 1/2))
35.0ms	c	@	0	(exp.f64 (*.f64 (+.f64 (log.f64 a) (log.f64 (neg.f64 c))) 1/2))
12.0ms	c	@	inf	(exp.f64 (*.f64 (+.f64 (log.f64 a) (log.f64 (neg.f64 c))) 1/2))
7.0ms	a	@	-inf	(exp.f64 (*.f64 (+.f64 (log.f64 a) (log.f64 (neg.f64 c))) 1/2))
5.0ms	a	@	-inf	(/.f64 (-.f64 (exp.f64 (*.f64 (+.f64 (log.f64 a) (log.f64 (neg.f64 c))) 1/2)) b_2) a)

rewrite81.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

675×	`log-prod_binary64`
415×	`fma-def_binary64`
356×	`pow2_binary64`
249×	`fma-neg_binary64`
246×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	40
1	285	24
2	4076	24

Stop Event

1×	node limit

Counts

3 → 139

Calls

Call 1

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

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

simplify117.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

527×	`times-frac_binary64`
498×	`associate-/l*_binary64`
443×	`unswap-sqr_binary64`
221×	`log-prod_binary64`
167×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	361	3186
1	876	3096
2	2700	2929

Stop Event

1×	node limit

Counts

223 → 217

Calls

Call 1

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

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

eval820.0ms (6.1%)

Compiler: Compiled 39763 to 21549 computations (45.8% saved)

prune566.0ms (4.2%)

Pruning

36 alts after pruning (29 fresh and 7 done)

	Pruned	Kept	Total
New	1325	10	1335
Fresh	6	19	25
Picked	1	0	1
Done	3	7	10
Total	1335	36	1371

Error

0.0b

Counts

1371 → 36

Alt Table

Click to see full alt table

Status	Error	Program
	46.3b	(fma.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/4) (/.f64 (pow.f64 (*.f64 (neg.f64 c) a) 1/4) a) (/.f64 (neg.f64 b_2) a))
	45.0b	(pow.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (*.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 c)))) b_2)) -1)
✓	33.7b	(pow.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2)) -1)
	45.9b	(pow.f64 (/.f64 a (*.f64 b_2 -2)) -1)
	37.1b	(pow.f64 (*.f64 (/.f64 -2 c) b_2) -1)
	62.4b	(pow.f64 (*.f64 a (/.f64 1/2 b_2)) -1)
	48.4b	(/.f64 (fma.f64 -1/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 5)) (fma.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) (/.f64 -1/2 (/.f64 b_2 (*.f64 c a))))) a)
	52.5b	(/.f64 (pow.f64 (neg.f64 c) 1/2) (/.f64 a (pow.f64 a 1/2)))
	47.7b	(/.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2) (sqrt.f64 a)) (sqrt.f64 a))
	36.7b	(/.f64 (/.f64 c -2) b_2)
	45.7b	(/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 (neg.f64 c) a) 1/4) 2) b_2) a)
	46.1b	(/.f64 (-.f64 (-.f64 (*.f64 (/.f64 c (/.f64 b_2 a)) 1/2) b_2) b_2) a)
	53.5b	(/.f64 (-.f64 (*.f64 (pow.f64 c 1/2) (pow.f64 (neg.f64 a) 1/2)) b_2) a)
	52.0b	(/.f64 (-.f64 (*.f64 (pow.f64 a 1/2) (pow.f64 (/.f64 -1 c) -1/2)) b_2) a)
✓	34.8b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
	45.7b	(/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)
	49.3b	(/.f64 (-.f64 (cbrt.f64 (pow.f64 (*.f64 a (neg.f64 c)) 3/2)) b_2) a)
✓	47.4b	(/.f64 (+.f64 (.f64 -2 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2))) a)
	54.7b	(/.f64 (+.f64 a (.f64 (.f64 (/.f64 b_2 c) 2) (.f64 b_2 -2))) (.f64 (*.f64 (/.f64 b_2 c) 2) a))
✓	45.8b	(/.f64 (*.f64 b_2 -2) a)
	53.5b	(/.f64 (.f64 1 (-.f64 (.f64 (pow.f64 c 1/2) (pow.f64 (/.f64 -1 a) -1/2)) b_2)) a)
	43.3b	(/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)
	41.4b	(/.f64 (.f64 -1/2 (.f64 (/.f64 c b_2) a)) a)
✓	59.4b	(/.f64 (neg.f64 b_2) a)
	62.4b	(/.f64 b_2 (/.f64 a 2))
	36.7b	(/.f64 1 (fma.f64 b_2 (/.f64 -2 c) (/.f64 (/.f64 a 2) b_2)))
	62.4b	(/.f64 1 (/.f64 (/.f64 a 2) b_2))
	36.7b	(/.f64 1 (+.f64 (/.f64 a (.f64 b_2 2)) (.f64 b_2 (/.f64 -2 c))))
	57.1b	(/.f64 1/2 (/.f64 b_2 c))
	63.7b	(+.f64 (.f64 (/.f64 b_2 a) 2) (/.f64 (+.f64 b_2 (sqrt.f64 (.f64 c a))) a))
	46.0b	(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 (/.f64 1/2 b_2) c))
	45.0b	(.f64 (/.f64 1 a) (-.f64 (hypot.f64 b_2 (.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 c)))) b_2))
✓	33.7b	(.f64 (/.f64 1 a) (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))) b_2))
	45.9b	(*.f64 b_2 (/.f64 -2 a))
✓	57.1b	(*.f64 1/2 (/.f64 c b_2))
	56.8b	0

Compiler

Compiled 500 to 352 computations (29.6% saved)

regimes801.0ms (5.9%)

Counts

65 → 3

Calls

Call 1

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

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

Calls

4 calls:

298.0ms	c
281.0ms	a
110.0ms	b_2
91.0ms	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Results

Error	Segments	Branch
20.0b	9	`a`
6.9b	3	`b_2`
22.3b	9	`c`
10.7b	5	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`

Compiler

Compiled 844 to 397 computations (53% saved)

bsearch29.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
14.0ms	6.842088000817076e-96	1.1443537634296077e-95
15.0ms	-3.0010648826755626e+61	-6.392438828564936e+60

Results

18.0ms	143×	body	256	valid
2.0ms	9×	body	1024	valid
2.0ms	20×	body	256	invalid
2.0ms	14×	body	256	infinite
1.0ms	6×	body	512	valid
1.0ms	2×	body	2048	valid

Compiler

Compiled 372 to 235 computations (36.8% saved)

regimes632.0ms (4.7%)

Counts

46 → 3

Calls

Call 1

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

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

Calls

4 calls:

252.0ms	a
230.0ms	c
77.0ms	b_2
58.0ms	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Results

Error	Segments	Branch
21.7b	11	`a`
6.9b	3	`b_2`
24.3b	11	`c`
10.8b	5	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`

Compiler

Compiled 497 to 274 computations (44.9% saved)

bsearch26.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
12.0ms	6.842088000817076e-96	1.1443537634296077e-95
14.0ms	-3.0010648826755626e+61	-6.392438828564936e+60

Results

17.0ms	145×	body	256	valid
3.0ms	10×	body	1024	valid
2.0ms	16×	body	256	infinite
1.0ms	9×	body	256	invalid
1.0ms	4×	body	512	valid
0.0ms	1×	body	2048	valid

Compiler

Compiled 272 to 185 computations (32% saved)

regimes205.0ms (1.5%)

Counts

30 → 3

Calls

Call 1

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

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

Calls

3 calls:

81.0ms	a
78.0ms	c
39.0ms	b_2

Results

Error	Segments	Branch
30.7b	5	`a`
9.6b	3	`b_2`
32.9b	6	`c`

Compiler

Compiled 266 to 151 computations (43.2% saved)

bsearch71.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
12.0ms	6.842088000817076e-96	1.1443537634296077e-95
58.0ms	-2.452758878726812e-48	-1.0520713020291655e-52

Results

45.0ms	172×	body	256	valid
17.0ms	31×	body	256	invalid
3.0ms	10×	body	1024	valid
2.0ms	9×	body	512	valid
0.0ms	1×	body	2048	valid

Compiler

Compiled 334 to 239 computations (28.4% saved)

regimes216.0ms (1.6%)

Counts

27 → 2

Calls

Call 1

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

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

Calls

3 calls:

98.0ms	c
83.0ms	a
27.0ms	b_2

Results

Error	Segments	Branch
32.9b	5	`a`
20.0b	2	`b_2`
34.3b	5	`c`

Compiler

Compiled 233 to 130 computations (44.2% saved)

bsearch17.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
16.0ms	2.415394511300024e-300	1.2288110277918947e-299

Results

10.0ms	96×	body	256	valid
5.0ms	46×	body	256	invalid

Compiler

Compiled 130 to 99 computations (23.8% saved)

regimes40.0ms (0.3%)

Counts

8 → 2

Calls

Call 1

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

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

Calls

3 calls:

21.0ms	c
11.0ms	b_2
7.0ms	a

Results

Error	Segments	Branch
45.8b	1	`a`
40.3b	2	`b_2`
44.2b	3	`c`

Compiler

Compiled 50 to 33 computations (34% saved)

bsearch27.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
26.0ms	1.2288110277918947e-299	2.362002055063604e-293

Results

17.0ms	144×	body	256	valid
7.0ms	70×	body	256	invalid

Compiler

Compiled 148 to 123 computations (16.9% saved)

regimes45.0ms (0.3%)

Counts

7 → 2

Calls

Call 1

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

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

Calls

3 calls:

18.0ms	a
15.0ms	c
9.0ms	b_2

Results

Error	Segments	Branch
45.9b	1	`a`
40.4b	2	`b_2`
44.3b	3	`c`

Compiler

Compiled 45 to 30 computations (33.3% saved)

bsearch26.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
26.0ms	1.2288110277918947e-299	2.362002055063604e-293

Results

16.0ms	144×	body	256	valid
8.0ms	58×	body	256	invalid

Compiler

Compiled 148 to 123 computations (16.9% saved)

regimes25.0ms (0.2%)

Accuracy

Total -9.3b remaining (-17.2%)

Threshold costs -9.3b (-17.2%)

Counts

4 → 2

Calls

Call 1

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

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

Calls

3 calls:

17.0ms	b_2
4.0ms	c
4.0ms	a

Results

Error	Segments	Branch
56.8b	1	`a`
53.9b	2	`b_2`
56.8b	1	`c`

Compiler

Compiled 30 to 21 computations (30% saved)

bsearch27.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
27.0ms	1.2288110277918947e-299	2.362002055063604e-293

Results

16.0ms	144×	body	256	valid
10.0ms	69×	body	256	invalid

Compiler

Compiled 139 to 114 computations (18% saved)

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	214
1	96	214
2	111	214
3	118	214
4	120	214

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 b_2 -29999999999999999908861751618180447067195319779897438575263744) (/.f64 (.f64 b_2 -2) a) (if (<=.f64 b_2 2404907604760405/300613450595050653169853516389035139504087366260264943450533244356122755214669880763353471793250393988087676928) (/.f64 (-.f64 (sqrt.f64 (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 2 (fma.f64 a (neg.f64 c) (.f64 c a))))) b_2) a) (/.f64 (.f64 c -1/2) b_2)))
(if (<=.f64 b_2 -29999999999999999908861751618180447067195319779897438575263744) (/.f64 (.f64 b_2 -2) a) (if (<=.f64 b_2 6733741293329135/601226901190101306339707032778070279008174732520529886901066488712245510429339761526706943586500787976175353856) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (/.f64 (.f64 c -1/2) b_2)))
(if (<=.f64 b_2 -3235193600058077/6739986666787659948666753771754907668409286105635143120275902562304) (+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2))) (if (<=.f64 b_2 98638788476501/9394170331095332911557922387157348109502730195633279482829163886128836100458433773854795993539074812127739904) (/.f64 (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2) a) (/.f64 (.f64 c -1/2) b_2)))
(if (<=.f64 b_2 4524042903795331/377003575316277553052632783947358479815640765734281611362288441560101396530857955835685848633641608981764089063400052322800846281248691448694119974860434438887084693231743502178167752441192448774799271819130974018130465379775860716808779827596916922071594850183201524526501846714374614008118077197384100897810808832) (/.f64 (.f64 b_2 -2) a) (/.f64 (.f64 c -1/2) b_2))
(if (<=.f64 b_2 4712544691453469/377003575316277553052632783947358479815640765734281611362288441560101396530857955835685848633641608981764089063400052322800846281248691448694119974860434438887084693231743502178167752441192448774799271819130974018130465379775860716808779827596916922071594850183201524526501846714374614008118077197384100897810808832) (/.f64 (*.f64 b_2 -2) a) 0)
(if (<=.f64 b_2 4712544691453469/377003575316277553052632783947358479815640765734281611362288441560101396530857955835685848633641608981764089063400052322800846281248691448694119974860434438887084693231743502178167752441192448774799271819130974018130465379775860716808779827596916922071594850183201524526501846714374614008118077197384100897810808832) (*.f64 b_2 (/.f64 -2 a)) 0)
(if (<=.f64 b_2 4712544691453469/377003575316277553052632783947358479815640765734281611362288441560101396530857955835685848633641608981764089063400052322800846281248691448694119974860434438887084693231743502178167752441192448774799271819130974018130465379775860716808779827596916922071594850183201524526501846714374614008118077197384100897810808832) (/.f64 (neg.f64 b_2) a) 0)
0

Outputs
(if (<=.f64 b_2 -29999999999999999908861751618180447067195319779897438575263744) (/.f64 (.f64 b_2 -2) a) (if (<=.f64 b_2 2404907604760405/300613450595050653169853516389035139504087366260264943450533244356122755214669880763353471793250393988087676928) (/.f64 (-.f64 (sqrt.f64 (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 2 (fma.f64 a (neg.f64 c) (.f64 c a))))) b_2) a) (/.f64 (.f64 c -1/2) b_2)))
(if (<=.f64 b_2 -29999999999999999908861751618180447067195319779897438575263744) (/.f64 (.f64 b_2 -2) a) (if (<=.f64 b_2 2404907604760405/300613450595050653169853516389035139504087366260264943450533244356122755214669880763353471793250393988087676928) (/.f64 (-.f64 (sqrt.f64 (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (.f64 2 (fma.f64 a (neg.f64 c) (.f64 a c))))) b_2) a) (/.f64 (.f64 c -1/2) b_2)))
(if (<=.f64 b_2 -29999999999999999908861751618180447067195319779897438575263744) (/.f64 (.f64 b_2 -2) a) (if (<=.f64 b_2 6733741293329135/601226901190101306339707032778070279008174732520529886901066488712245510429339761526706943586500787976175353856) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (/.f64 (.f64 c -1/2) b_2)))
(if (<=.f64 b_2 -3235193600058077/6739986666787659948666753771754907668409286105635143120275902562304) (+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2))) (if (<=.f64 b_2 98638788476501/9394170331095332911557922387157348109502730195633279482829163886128836100458433773854795993539074812127739904) (/.f64 (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2) a) (/.f64 (.f64 c -1/2) b_2)))
(if (<=.f64 b_2 -3235193600058077/6739986666787659948666753771754907668409286105635143120275902562304) (+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2))) (if (<=.f64 b_2 98638788476501/9394170331095332911557922387157348109502730195633279482829163886128836100458433773854795993539074812127739904) (/.f64 (-.f64 (sqrt.f64 (.f64 a (neg.f64 c))) b_2) a) (/.f64 (.f64 c -1/2) b_2)))
(if (<=.f64 b_2 4524042903795331/377003575316277553052632783947358479815640765734281611362288441560101396530857955835685848633641608981764089063400052322800846281248691448694119974860434438887084693231743502178167752441192448774799271819130974018130465379775860716808779827596916922071594850183201524526501846714374614008118077197384100897810808832) (/.f64 (.f64 b_2 -2) a) (/.f64 (.f64 c -1/2) b_2))
(if (<=.f64 b_2 4712544691453469/377003575316277553052632783947358479815640765734281611362288441560101396530857955835685848633641608981764089063400052322800846281248691448694119974860434438887084693231743502178167752441192448774799271819130974018130465379775860716808779827596916922071594850183201524526501846714374614008118077197384100897810808832) (/.f64 (*.f64 b_2 -2) a) 0)
(if (<=.f64 b_2 4712544691453469/377003575316277553052632783947358479815640765734281611362288441560101396530857955835685848633641608981764089063400052322800846281248691448694119974860434438887084693231743502178167752441192448774799271819130974018130465379775860716808779827596916922071594850183201524526501846714374614008118077197384100897810808832) (*.f64 b_2 (/.f64 -2 a)) 0)
(if (<=.f64 b_2 4712544691453469/377003575316277553052632783947358479815640765734281611362288441560101396530857955835685848633641608981764089063400052322800846281248691448694119974860434438887084693231743502178167752441192448774799271819130974018130465379775860716808779827596916922071594850183201524526501846714374614008118077197384100897810808832) (/.f64 (neg.f64 b_2) a) 0)
0

Compiler

Compiled 171 to 116 computations (32.2% saved)

soundness939.0ms (7%)

Algorithm

6×	egg-herbie

Rules

861×	`fma-neg_binary64`
861×	`fma-neg_binary64`
861×	`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	810	11217
1	2016	10437
2	7238	10413
0	11	20
1	23	18
2	42	18
3	77	18
4	123	18
5	218	18
6	370	18
7	586	18
8	957	18
9	1474	18
10	2004	18
11	3234	18
12	4125	18
13	4595	18
14	4603	18
15	4611	18
16	4637	18
17	4653	18
18	4689	18
19	4719	18
20	4731	18
0	810	11217
1	2016	10437
2	7238	10413
0	11	20
1	23	18
2	42	18
3	77	18
4	123	18
5	218	18
6	370	18
7	586	18
8	957	18
9	1474	18
10	2004	18
11	3234	18
12	4125	18
13	4595	18
14	4603	18
15	4611	18
16	4637	18
17	4653	18
18	4689	18
19	4719	18
20	4731	18
0	810	11217
1	2016	10437
2	7238	10413

Stop Event

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

Compiler

Compiled 263 to 159 computations (39.5% saved)

end73.0ms (0.5%)

Compiler: Compiled 150 to 91 computations (39.3% saved)