Details

analyze997.0ms (11.7%)

Algorithm

1×

Search

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

Compiler

Compiled 17 to 11 computations (35.3% saved)

sample2.1s (24.3%)

Results

697.0ms	5376×	body	128	valid
559.0ms	1199×	body	2048	valid
277.0ms	726×	body	1024	valid
235.0ms	399×	body	4096	valid
128.0ms	1121×	body	128	invalid
106.0ms	370×	body	512	valid
45.0ms	186×	body	256	valid

Compiler

Compiled 34 to 22 computations (35.3% saved)

preprocess39.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 16 to 10 computations (37.5% saved)

simplify64.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

30.9b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	30.9b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)

Compiler

Compiled 58 to 30 computations (48.3% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	0.1b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
✓	0.8b	(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)
✓	21.1b	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

series33.0ms (0.4%)

Counts

4 → 96

Calls

36 calls:

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

rewrite93.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 313

Calls

Call 1

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

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

simplify55.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

738×	`times-frac_binary64`
490×	`associate-/l*_binary64`
401×	`associate-/r*_binary64`
361×	`fma-def_binary64`
133×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	120	2203
1	392	2175
2	1383	2133

Stop Event

1×	node limit

Counts

409 → 386

Calls

Call 1

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

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

prune320.0ms (3.7%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	373	13	386
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	374	13	387

Error

6.3b

Counts

387 → 13

Alt Table

Status	Error	Program
	31.8b	(fma.f64 (/.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 1) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (neg.f64 (/.f64 b_2 a)))
	31.4b	(pow.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)) 3)
	31.0b	(-.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a) (/.f64 b_2 a))
	57.6b	(/.f64 (-.f64 (fma.f64 (*.f64 (/.f64 c b_2) a) -1/2 b_2) b_2) a)
	57.7b	(/.f64 (-.f64 b_2 b_2) a)
▶	30.9b	(/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (*.f64 a c))))) b_2) a)
	43.2b	(/.f64 (fma.f64 1/2 (.f64 (/.f64 c b_2) a) (.f64 b_2 -2)) a)
	43.1b	(fma.f64 -2 (/.f64 b_2 a) (*.f64 1/2 (/.f64 c b_2)))
	42.9b	(/.f64 (*.f64 -2 b_2) a)
	44.1b	(/.f64 (.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (.f64 a c))) (/.f64 1 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))))) a)
	43.7b	(*.f64 -1/2 (/.f64 c b_2))
	31.2b	(.f64 (sqrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) (.f64 (sqrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) (/.f64 1 a)))
	31.0b	(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2) (/.f64 1 a))

Compiler

Compiled 9683 to 2983 computations (69.2% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (*.f64 a c))))) b_2) a)
✓	0.8b	(-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (*.f64 a c))))) b_2)
✓	21.1b	(sqrt.f64 (fma.f64 b_2 b_2 (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (*.f64 a c)))))
✓	53.9b	(fma.f64 a (neg.f64 c) (*.f64 a c))

series22.0ms (0.3%)

Counts

4 → 84

Calls

33 calls:

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

rewrite69.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

387×	`fma-def_binary64`
247×	`fma-neg_binary64`
225×	`expm1-udef_binary64`
225×	`log1p-udef_binary64`
138×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	85
1	262	64
2	3721	64

Stop Event

1×	node limit

Counts

4 → 176

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 a c) (.f64 a c))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 a c) (.f64 a c))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 a (+.f64 c c)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 a (+.f64 c c))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 a (+.f64 c c)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 a (+.f64 c c)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 a (+.f64 c c))) (pow.f64 (cbrt.f64 (.f64 a (+.f64 c c))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 a (+.f64 c c))) 2) (cbrt.f64 (.f64 a (+.f64 c c))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 a (+.f64 c c))) (sqrt.f64 (.f64 a (+.f64 c c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 a c) 3) (pow.f64 (.f64 a c) 3)) (+.f64 (pow.f64 (.f64 a c) 2) (-.f64 (pow.f64 (.f64 a c) 2) (pow.f64 (.f64 a c) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 a c) 2) (pow.f64 (.f64 a c) 2)) (.f64 a (+.f64 c c)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 a (+.f64 c c)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 a (+.f64 c c)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 a (+.f64 c c))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 a (+.f64 c c))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 a (+.f64 c c)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (.f64 a (+.f64 c c))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 a (+.f64 c c)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 a (+.f64 c c)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 a (+.f64 c c))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 a (+.f64 c c))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 a (+.f64 c c))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 a (+.f64 c c))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 b_2 (sqrt.f64 (fma.f64 a c (.f64 a (+.f64 c c))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (hypot.f64 b_2 (sqrt.f64 (fma.f64 a c (.f64 a (+.f64 c c))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (hypot.f64 b_2 (sqrt.f64 (fma.f64 a c (.f64 a (+.f64 c c))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 b_2 b_2 (fma.f64 a c (.f64 a (+.f64 c c))))) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (fma.f64 a c (.f64 a (+.f64 c c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (fma.f64 a c (.f64 a (+.f64 c c)))))) (cbrt.f64 (fma.f64 b_2 b_2 (fma.f64 a c (.f64 a (+.f64 c c))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 b_2 b_2 (fma.f64 a c (.f64 a (+.f64 c c)))) 1/4) (pow.f64 (fma.f64 b_2 b_2 (fma.f64 a c (.f64 a (+.f64 c c)))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 b_2 b_2 (fma.f64 a c (.f64 a (+.f64 c c))))) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 b_2 b_2 (fma.f64 a c (.f64 a (+.f64 c c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/2) (hypot.f64 b_2 (sqrt.f64 (fma.f64 a c (.f64 a (+.f64 c c))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 b_2 b_2 (fma.f64 a c (.f64 a (+.f64 c c))))) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 b_2 b_2 (fma.f64 a c (.f64 a (+.f64 c c))))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 b_2 b_2 (fma.f64 a c (.f64 a (+.f64 c c)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 b_2 (sqrt.f64 (fma.f64 a c (.f64 a (+.f64 c c))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (fma.f64 a c (.f64 a (+.f64 c c)))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 b_2 b_2 (fma.f64 a c (.f64 a (+.f64 c c)))) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 b_2 b_2 (fma.f64 a c (.f64 a (+.f64 c c)))) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (hypot.f64 b_2 (sqrt.f64 (fma.f64 a c (.f64 a (+.f64 c c))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (fma.f64 a c (.f64 a (+.f64 c c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 b_2 (sqrt.f64 (fma.f64 a c (.f64 a (+.f64 c c))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 b_2 b_2 (fma.f64 a c (.f64 a (+.f64 c c)))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 b_2 (sqrt.f64 (fma.f64 a c (.f64 a (+.f64 c c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 b_2 (sqrt.f64 (fma.f64 a c (.f64 a (+.f64 c c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (fma.f64 a c (.f64 a (+.f64 c c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 b_2 b_2 (fma.f64 a c (.f64 a (+.f64 c c))))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (fma.f64 a c (.f64 a (+.f64 c c)))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 b_2 (sqrt.f64 (fma.f64 a c (*.f64 a (+.f64 c c)))))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (hypot.f64 b_2 (sqrt.f64 (fma.f64 a c (.f64 a (+.f64 c c))))) (neg.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (hypot.f64 b_2 (sqrt.f64 (fma.f64 a c (.f64 a (+.f64 c c))))) (.f64 (neg.f64 b_2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (fma.f64 a c (.f64 a (+.f64 c 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 (fma.f64 a c (.f64 a (+.f64 c 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 (fma.f64 a c (.f64 a (+.f64 c 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 (fma.f64 a c (.f64 a (+.f64 c c))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (fma.f64 a c (.f64 a (+.f64 c c))))) b_2) 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simplify61.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

731×	`times-frac_binary64`
494×	`associate-/l*_binary64`
390×	`associate-/r*_binary64`
352×	`fma-def_binary64`
191×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	119	1911
1	386	1883
2	1368	1841

Stop Event

1×	node limit

Counts

260 → 244

Calls

Call 1

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

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

prune130.0ms (1.5%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	243	1	244
Fresh	0	12	12
Picked	0	1	1
Done	0	0	0
Total	243	14	257

Error

6.3b

Counts

257 → 14

Alt Table

Status	Error	Program
✓	30.9b	(/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (*.f64 a c))))) b_2) a)
	52.7b	(/.f64 (-.f64 (exp.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (fma.f64 a c (*.f64 a (+.f64 c c))))))) b_2) a)
	31.8b	(fma.f64 (/.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 1) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (neg.f64 (/.f64 b_2 a)))
	31.4b	(pow.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)) 3)
▶	31.0b	(-.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a) (/.f64 b_2 a))
	57.6b	(/.f64 (-.f64 (fma.f64 (*.f64 (/.f64 c b_2) a) -1/2 b_2) b_2) a)
	57.7b	(/.f64 (-.f64 b_2 b_2) a)
	43.2b	(/.f64 (fma.f64 1/2 (.f64 (/.f64 c b_2) a) (.f64 b_2 -2)) a)
	43.1b	(fma.f64 -2 (/.f64 b_2 a) (*.f64 1/2 (/.f64 c b_2)))
	42.9b	(/.f64 (*.f64 -2 b_2) a)
	44.1b	(/.f64 (.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (.f64 a c))) (/.f64 1 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))))) a)
	43.7b	(*.f64 -1/2 (/.f64 c b_2))
	31.2b	(.f64 (sqrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) (.f64 (sqrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) (/.f64 1 a)))
	31.0b	(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2) (/.f64 1 a))

Compiler

Compiled 6634 to 1985 computations (70.1% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	0.1b	(/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a)
✓	4.5b	(-.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a) (/.f64 b_2 a))
	21.1b	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

series11.0ms (0.1%)

Counts

2 → 40

Calls

18 calls:

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

rewrite67.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

349×	`fma-neg_binary64`
242×	`expm1-udef_binary64`
242×	`log1p-udef_binary64`
141×	`add-sqr-sqrt_binary64`
138×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	33
1	266	33
2	4201	33

Stop Event

1×	node limit

Counts

2 → 106

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) (/.f64 (neg.f64 b_2) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) (*.f64 (/.f64 (neg.f64 b_2) a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a) (fma.f64 (neg.f64 (/.f64 1 a)) b_2 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a) (fma.f64 (/.f64 (neg.f64 b_2) a) 1 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 b_2 a))) (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 2) (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a) (+.f64 (/.f64 (neg.f64 b_2) a) (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 b_2) a) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)) 2) (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)) (sqrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 a (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (*.f64 b_2 a)) (/.f64 1 (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) 3) (pow.f64 (/.f64 b_2 a) 3)) (/.f64 1 (+.f64 (/.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 a a)) (*.f64 (/.f64 b_2 a) (+.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) (/.f64 b_2 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 a a)) (pow.f64 (/.f64 b_2 a) 2)) (/.f64 1 (+.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) (/.f64 b_2 a))))))) (#(struct:change #<rule 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simplify51.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

484×	`times-frac_binary64`
291×	`associate-/l*_binary64`
253×	`associate-/r*_binary64`
252×	`associate-r_binary64`
221×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	82	1215
1	266	1197
2	888	1169
3	4901	1169

Stop Event

1×	node limit

Counts

146 → 149

Calls

Call 1

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

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

prune244.0ms (2.9%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	355	7	362
Fresh	6	6	12
Picked	0	1	1
Done	0	1	1
Total	361	15	376

Error

6.3b

Counts

376 → 15

Alt Table

Status	Error	Program
	43.1b	(-.f64 (-.f64 (*.f64 1/2 (/.f64 c b_2)) (/.f64 b_2 a)) (/.f64 b_2 a))
✓	31.0b	(-.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a) (/.f64 b_2 a))
✓	30.9b	(/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (*.f64 a c))))) b_2) a)
	52.7b	(/.f64 (-.f64 (exp.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (fma.f64 a c (*.f64 a (+.f64 c c))))))) b_2) a)
	43.2b	(/.f64 (fma.f64 1/2 (.f64 (/.f64 c b_2) a) (.f64 b_2 -2)) a)
▶	31.6b	(fma.f64 (/.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 1) (/.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) a) (/.f64 (neg.f64 b_2) a))
	31.8b	(fma.f64 (/.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 1) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (neg.f64 (/.f64 b_2 a)))
	54.9b	(/.f64 (-.f64 (/.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (.f64 a a)) (pow.f64 (/.f64 b_2 a) 2)) (+.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) a) (/.f64 b_2 a)))
	32.0b	(-.f64 (pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a)) 3) (/.f64 b_2 a))
	44.1b	(/.f64 (.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (.f64 a c))) (/.f64 1 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))))) a)
	57.7b	(/.f64 (-.f64 b_2 b_2) a)
	43.0b	(*.f64 (/.f64 -2 a) b_2)
	45.8b	(fma.f64 (.f64 a (/.f64 c (/.f64 (pow.f64 b_2 3) c))) -1/8 (.f64 -1/2 (/.f64 c b_2)))
	43.7b	(*.f64 -1/2 (/.f64 c b_2))
	58.6b	(-.f64 (/.f64 (fma.f64 (*.f64 (/.f64 c b_2) a) -1/2 b_2) a) (/.f64 b_2 a))

Compiler

Compiled 9687 to 2823 computations (70.9% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	0.2b	(/.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) a)
✓	18.0b	(fma.f64 (/.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 1) (/.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) a) (/.f64 (neg.f64 b_2) a))
✓	21.6b	(pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4)

series53.0ms (0.6%)

Counts

3 → 108

Calls

27 calls:

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

rewrite58.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

248×	`expm1-udef_binary64`
248×	`log1p-udef_binary64`
157×	`add-sqr-sqrt_binary64`
152×	`pow1_binary64`
151×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	66
1	343	50
2	4412	50

Stop Event

1×	node limit

Counts

3 → 85

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

simplify91.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

381×	`times-frac_binary64`
376×	`associate-/r*_binary64`
289×	`associate-/l*_binary64`
250×	`fma-def_binary64`
226×	`associate-l_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	446	5825
1	1507	5651

Stop Event

1×	node limit

Counts

193 → 254

Calls

Call 1

Inputs
(pow.f64 (.f64 -1 (.f64 c a)) 1/4)
(-.f64 (pow.f64 (.f64 -1 (.f64 c a)) 1/4) (.f64 1/4 (.f64 (pow.f64 (/.f64 -1 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b_2 2))))
(-.f64 (pow.f64 (.f64 -1 (.f64 c a)) 1/4) (+.f64 (.f64 3/32 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b_2 4))) (.f64 1/4 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b_2 2)))))
(-.f64 (pow.f64 (.f64 -1 (.f64 c a)) 1/4) (+.f64 (.f64 3/32 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b_2 4))) (+.f64 (.f64 1/4 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b_2 2))) (.f64 7/128 (.f64 (pow.f64 (/.f64 -1 (*.f64 (pow.f64 c 11) (pow.f64 a 11))) 1/4) (pow.f64 b_2 6))))))
(sqrt.f64 b_2)
(-.f64 (sqrt.f64 b_2) (.f64 1/4 (.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))))
(-.f64 (sqrt.f64 b_2) (+.f64 (.f64 1/4 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (.f64 3/32 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (sqrt.f64 (/.f64 1 (pow.f64 b_2 7)))))))
(-.f64 (sqrt.f64 b_2) (+.f64 (.f64 1/4 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (+.f64 (.f64 3/32 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (sqrt.f64 (/.f64 1 (pow.f64 b_2 7))))) (.f64 7/128 (.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (sqrt.f64 (/.f64 1 (pow.f64 b_2 11))))))))
(sqrt.f64 (*.f64 -1 b_2))
(-.f64 (sqrt.f64 (.f64 -1 b_2)) (.f64 1/4 (/.f64 (.f64 c (.f64 a (sqrt.f64 (*.f64 -1 b_2)))) (pow.f64 b_2 2))))
(-.f64 (sqrt.f64 (.f64 -1 b_2)) (+.f64 (.f64 1/4 (/.f64 (.f64 c (.f64 a (sqrt.f64 (.f64 -1 b_2)))) (pow.f64 b_2 2))) (.f64 3/32 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (sqrt.f64 (*.f64 -1 b_2)))) (pow.f64 b_2 4)))))
(-.f64 (sqrt.f64 (.f64 -1 b_2)) (+.f64 (.f64 1/4 (/.f64 (.f64 c (.f64 a (sqrt.f64 (.f64 -1 b_2)))) (pow.f64 b_2 2))) (+.f64 (.f64 7/128 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (sqrt.f64 (.f64 -1 b_2)))) (pow.f64 b_2 6))) (.f64 3/32 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (sqrt.f64 (*.f64 -1 b_2)))) (pow.f64 b_2 4))))))
(sqrt.f64 b_2)
(-.f64 (sqrt.f64 b_2) (.f64 1/4 (.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))))
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0
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(*.f64 (/.f64 1 a) (sqrt.f64 b_2))
(-.f64 (.f64 (/.f64 1 a) (sqrt.f64 b_2)) (.f64 1/4 (*.f64 c (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))))
(-.f64 (.f64 (/.f64 1 a) (sqrt.f64 b_2)) (+.f64 (.f64 1/4 (.f64 c (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (.f64 3/32 (.f64 (.f64 (pow.f64 c 2) a) (sqrt.f64 (/.f64 1 (pow.f64 b_2 7)))))))
(-.f64 (.f64 (/.f64 1 a) (sqrt.f64 b_2)) (+.f64 (.f64 1/4 (.f64 c (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (+.f64 (.f64 7/128 (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (sqrt.f64 (/.f64 1 (pow.f64 b_2 11))))) (.f64 3/32 (.f64 (*.f64 (pow.f64 c 2) a) (sqrt.f64 (/.f64 1 (pow.f64 b_2 7))))))))
(/.f64 (sqrt.f64 (*.f64 -1 b_2)) a)
(-.f64 (/.f64 (sqrt.f64 (.f64 -1 b_2)) a) (.f64 1/4 (/.f64 (.f64 c (sqrt.f64 (.f64 -1 b_2))) (pow.f64 b_2 2))))
(-.f64 (/.f64 (sqrt.f64 (.f64 -1 b_2)) a) (+.f64 (.f64 1/4 (/.f64 (.f64 c (sqrt.f64 (.f64 -1 b_2))) (pow.f64 b_2 2))) (.f64 3/32 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (sqrt.f64 (.f64 -1 b_2)))) (pow.f64 b_2 4)))))
(-.f64 (/.f64 (sqrt.f64 (.f64 -1 b_2)) a) (+.f64 (.f64 1/4 (/.f64 (.f64 c (sqrt.f64 (.f64 -1 b_2))) (pow.f64 b_2 2))) (+.f64 (.f64 3/32 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (sqrt.f64 (.f64 -1 b_2)))) (pow.f64 b_2 4))) (.f64 7/128 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 2) (sqrt.f64 (.f64 -1 b_2)))) (pow.f64 b_2 6))))))
(*.f64 (/.f64 1 a) (sqrt.f64 b_2))
(-.f64 (.f64 (/.f64 1 a) (sqrt.f64 b_2)) (.f64 1/4 (*.f64 c (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))))
(-.f64 (.f64 (/.f64 1 a) (sqrt.f64 b_2)) (+.f64 (.f64 1/4 (.f64 c (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (.f64 3/32 (.f64 (.f64 (pow.f64 c 2) a) (sqrt.f64 (/.f64 1 (pow.f64 b_2 7)))))))
(-.f64 (.f64 (/.f64 1 a) (sqrt.f64 b_2)) (+.f64 (.f64 1/4 (.f64 c (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (+.f64 (.f64 7/128 (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (sqrt.f64 (/.f64 1 (pow.f64 b_2 11))))) (.f64 3/32 (.f64 (*.f64 (pow.f64 c 2) a) (sqrt.f64 (/.f64 1 (pow.f64 b_2 7))))))))
(/.f64 (exp.f64 (*.f64 1/4 (-.f64 (log.f64 (neg.f64 c)) (log.f64 (/.f64 1 a))))) a)
(-.f64 (/.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 c)) (log.f64 (/.f64 1 a))))) a) (.f64 1/4 (/.f64 (.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 c)) (log.f64 (/.f64 1 a))))) (pow.f64 b_2 2)) (*.f64 c (pow.f64 a 2)))))
(-.f64 (/.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 c)) (log.f64 (/.f64 1 a))))) a) (+.f64 (.f64 1/4 (/.f64 (.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 c)) (log.f64 (/.f64 1 a))))) (pow.f64 b_2 2)) (.f64 c (pow.f64 a 2)))) (.f64 3/32 (/.f64 (.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 c)) (log.f64 (/.f64 1 a))))) (pow.f64 b_2 4)) (*.f64 (pow.f64 c 2) (pow.f64 a 3))))))
(-.f64 (/.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 c)) (log.f64 (/.f64 1 a))))) a) (+.f64 (.f64 1/4 (/.f64 (.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 c)) (log.f64 (/.f64 1 a))))) (pow.f64 b_2 2)) (.f64 c (pow.f64 a 2)))) (+.f64 (.f64 3/32 (/.f64 (.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 c)) (log.f64 (/.f64 1 a))))) (pow.f64 b_2 4)) (.f64 (pow.f64 c 2) (pow.f64 a 3)))) (.f64 7/128 (/.f64 (.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 c)) (log.f64 (/.f64 1 a))))) (pow.f64 b_2 6)) (*.f64 (pow.f64 c 3) (pow.f64 a 4)))))))
(/.f64 (exp.f64 (*.f64 1/4 (-.f64 (log.f64 c) (log.f64 (/.f64 -1 a))))) a)
(-.f64 (/.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 c) (log.f64 (/.f64 -1 a))))) a) (.f64 1/4 (/.f64 (.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 c) (log.f64 (/.f64 -1 a))))) (pow.f64 b_2 2)) (*.f64 c (pow.f64 a 2)))))
(-.f64 (/.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 c) (log.f64 (/.f64 -1 a))))) a) (+.f64 (.f64 1/4 (/.f64 (.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 c) (log.f64 (/.f64 -1 a))))) (pow.f64 b_2 2)) (.f64 c (pow.f64 a 2)))) (.f64 3/32 (/.f64 (.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 c) (log.f64 (/.f64 -1 a))))) (pow.f64 b_2 4)) (*.f64 (pow.f64 c 2) (pow.f64 a 3))))))
(-.f64 (/.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 c) (log.f64 (/.f64 -1 a))))) a) (+.f64 (.f64 1/4 (/.f64 (.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 c) (log.f64 (/.f64 -1 a))))) (pow.f64 b_2 2)) (.f64 c (pow.f64 a 2)))) (+.f64 (.f64 3/32 (/.f64 (.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 c) (log.f64 (/.f64 -1 a))))) (pow.f64 b_2 4)) (.f64 (pow.f64 c 2) (pow.f64 a 3)))) (.f64 7/128 (/.f64 (.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 c) (log.f64 (/.f64 -1 a))))) (pow.f64 b_2 6)) (*.f64 (pow.f64 c 3) (pow.f64 a 4)))))))
(*.f64 (/.f64 1 a) (sqrt.f64 b_2))
(-.f64 (.f64 (/.f64 1 a) (sqrt.f64 b_2)) (.f64 1/4 (*.f64 c (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))))
(-.f64 (.f64 (/.f64 1 a) (sqrt.f64 b_2)) (+.f64 (.f64 1/4 (.f64 c (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (.f64 3/32 (.f64 (.f64 (pow.f64 c 2) a) (sqrt.f64 (/.f64 1 (pow.f64 b_2 7)))))))
(-.f64 (.f64 (/.f64 1 a) (sqrt.f64 b_2)) (+.f64 (.f64 1/4 (.f64 c (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (+.f64 (.f64 7/128 (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (sqrt.f64 (/.f64 1 (pow.f64 b_2 11))))) (.f64 3/32 (.f64 (*.f64 (pow.f64 c 2) a) (sqrt.f64 (/.f64 1 (pow.f64 b_2 7))))))))
(/.f64 (exp.f64 (*.f64 1/4 (-.f64 (log.f64 (neg.f64 a)) (log.f64 (/.f64 1 c))))) a)
(-.f64 (/.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 a)) (log.f64 (/.f64 1 c))))) a) (.f64 1/4 (/.f64 (.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 a)) (log.f64 (/.f64 1 c))))) (pow.f64 b_2 2)) (*.f64 c (pow.f64 a 2)))))
(-.f64 (/.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 a)) (log.f64 (/.f64 1 c))))) a) (+.f64 (.f64 1/4 (/.f64 (.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 a)) (log.f64 (/.f64 1 c))))) (pow.f64 b_2 2)) (.f64 c (pow.f64 a 2)))) (.f64 3/32 (/.f64 (.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 a)) (log.f64 (/.f64 1 c))))) (pow.f64 b_2 4)) (*.f64 (pow.f64 c 2) (pow.f64 a 3))))))
(-.f64 (/.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 a)) (log.f64 (/.f64 1 c))))) a) (+.f64 (.f64 1/4 (/.f64 (.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 a)) (log.f64 (/.f64 1 c))))) (pow.f64 b_2 2)) (.f64 c (pow.f64 a 2)))) (+.f64 (.f64 3/32 (/.f64 (.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 a)) (log.f64 (/.f64 1 c))))) (pow.f64 b_2 4)) (.f64 (pow.f64 c 2) (pow.f64 a 3)))) (.f64 7/128 (/.f64 (.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 a)) (log.f64 (/.f64 1 c))))) (pow.f64 b_2 6)) (*.f64 (pow.f64 c 3) (pow.f64 a 4)))))))
(/.f64 (exp.f64 (*.f64 1/4 (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c))))) a)
(-.f64 (/.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c))))) a) (.f64 1/4 (/.f64 (.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c))))) (pow.f64 b_2 2)) (*.f64 c (pow.f64 a 2)))))
(-.f64 (/.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c))))) a) (+.f64 (.f64 3/32 (/.f64 (.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c))))) (pow.f64 b_2 4)) (.f64 (pow.f64 c 2) (pow.f64 a 3)))) (.f64 1/4 (/.f64 (.f64 (pow.f64 b_2 2) (exp.f64 (.f64 1/4 (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))))) (*.f64 c (pow.f64 a 2))))))
(-.f64 (/.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c))))) a) (+.f64 (.f64 7/128 (/.f64 (.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c))))) (pow.f64 b_2 6)) (.f64 (pow.f64 c 3) (pow.f64 a 4)))) (+.f64 (.f64 3/32 (/.f64 (.f64 (pow.f64 b_2 4) (exp.f64 (.f64 1/4 (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))))) (.f64 (pow.f64 c 2) (pow.f64 a 3)))) (.f64 1/4 (/.f64 (.f64 (pow.f64 b_2 2) (exp.f64 (.f64 1/4 (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))))) (*.f64 c (pow.f64 a 2)))))))

Outputs
(pow.f64 (.f64 -1 (.f64 c a)) 1/4)
(pow.f64 (*.f64 (neg.f64 c) a) 1/4)
(pow.f64 (*.f64 a (neg.f64 c)) 1/4)
(-.f64 (pow.f64 (.f64 -1 (.f64 c a)) 1/4) (.f64 1/4 (.f64 (pow.f64 (/.f64 -1 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b_2 2))))
(+.f64 (pow.f64 (.f64 (neg.f64 c) a) 1/4) (.f64 -1/4 (.f64 (pow.f64 (/.f64 (/.f64 -1 (pow.f64 c 3)) (pow.f64 a 3)) 1/4) (.f64 b_2 b_2))))
(-.f64 (pow.f64 (.f64 a (neg.f64 c)) 1/4) (.f64 (pow.f64 (/.f64 (/.f64 -1 (pow.f64 c 3)) (pow.f64 a 3)) 1/4) (.f64 (.f64 b_2 b_2) 1/4)))
(-.f64 (pow.f64 (.f64 -1 (.f64 c a)) 1/4) (+.f64 (.f64 3/32 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b_2 4))) (.f64 1/4 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b_2 2)))))
(-.f64 (pow.f64 (.f64 (neg.f64 c) a) 1/4) (fma.f64 3/32 (.f64 (pow.f64 (/.f64 (/.f64 -1 (pow.f64 c 7)) (pow.f64 a 7)) 1/4) (pow.f64 b_2 4)) (.f64 1/4 (.f64 (pow.f64 (/.f64 (/.f64 -1 (pow.f64 c 3)) (pow.f64 a 3)) 1/4) (*.f64 b_2 b_2)))))
(-.f64 (pow.f64 (.f64 a (neg.f64 c)) 1/4) (fma.f64 1/4 (.f64 (pow.f64 (/.f64 (/.f64 -1 (pow.f64 c 3)) (pow.f64 a 3)) 1/4) (.f64 b_2 b_2)) (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (.f64 (pow.f64 b_2 4) 3/32))))
(-.f64 (pow.f64 (.f64 -1 (.f64 c a)) 1/4) (+.f64 (.f64 3/32 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b_2 4))) (+.f64 (.f64 1/4 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b_2 2))) (.f64 7/128 (.f64 (pow.f64 (/.f64 -1 (*.f64 (pow.f64 c 11) (pow.f64 a 11))) 1/4) (pow.f64 b_2 6))))))
(-.f64 (pow.f64 (.f64 (neg.f64 c) a) 1/4) (fma.f64 3/32 (.f64 (pow.f64 (/.f64 (/.f64 -1 (pow.f64 c 7)) (pow.f64 a 7)) 1/4) (pow.f64 b_2 4)) (fma.f64 1/4 (.f64 (pow.f64 (/.f64 (/.f64 -1 (pow.f64 c 3)) (pow.f64 a 3)) 1/4) (.f64 b_2 b_2)) (.f64 (.f64 7/128 (pow.f64 (/.f64 -1 (*.f64 (pow.f64 c 11) (pow.f64 a 11))) 1/4)) (pow.f64 b_2 6)))))
(-.f64 (pow.f64 (.f64 a (neg.f64 c)) 1/4) (fma.f64 3/32 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b_2 4)) (fma.f64 1/4 (.f64 (pow.f64 (/.f64 (/.f64 -1 (pow.f64 c 3)) (pow.f64 a 3)) 1/4) (.f64 b_2 b_2)) (.f64 (pow.f64 (/.f64 (/.f64 -1 (pow.f64 c 11)) (pow.f64 a 11)) 1/4) (*.f64 (pow.f64 b_2 6) 7/128)))))
(sqrt.f64 b_2)
(-.f64 (sqrt.f64 b_2) (.f64 1/4 (.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))))
(-.f64 (sqrt.f64 b_2) (.f64 (.f64 1/4 (*.f64 c a)) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3)))))
(-.f64 (sqrt.f64 b_2) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))) (.f64 (*.f64 c a) 1/4)))
(-.f64 (sqrt.f64 b_2) (+.f64 (.f64 1/4 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (.f64 3/32 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (sqrt.f64 (/.f64 1 (pow.f64 b_2 7)))))))
(-.f64 (sqrt.f64 b_2) (fma.f64 1/4 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3)))) (.f64 (.f64 3/32 (.f64 (.f64 c c) (*.f64 a a))) (sqrt.f64 (/.f64 1 (pow.f64 b_2 7))))))
(-.f64 (sqrt.f64 b_2) (fma.f64 1/4 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3)))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 b_2 7))) (.f64 (.f64 c (.f64 c (*.f64 a a))) 3/32))))
(-.f64 (sqrt.f64 b_2) (+.f64 (.f64 1/4 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (+.f64 (.f64 3/32 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (sqrt.f64 (/.f64 1 (pow.f64 b_2 7))))) (.f64 7/128 (.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (sqrt.f64 (/.f64 1 (pow.f64 b_2 11))))))))
(-.f64 (sqrt.f64 b_2) (fma.f64 1/4 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3)))) (fma.f64 3/32 (.f64 (.f64 c c) (.f64 (.f64 a a) (sqrt.f64 (/.f64 1 (pow.f64 b_2 7))))) (.f64 7/128 (.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (sqrt.f64 (/.f64 1 (pow.f64 b_2 11)))))))))
(-.f64 (sqrt.f64 b_2) (fma.f64 1/4 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3)))) (fma.f64 7/128 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (sqrt.f64 (/.f64 1 (pow.f64 b_2 11))))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 b_2 7))) (.f64 (.f64 c (.f64 c (*.f64 a a))) 3/32)))))
(sqrt.f64 (*.f64 -1 b_2))
(sqrt.f64 (neg.f64 b_2))
(-.f64 (sqrt.f64 (.f64 -1 b_2)) (.f64 1/4 (/.f64 (.f64 c (.f64 a (sqrt.f64 (*.f64 -1 b_2)))) (pow.f64 b_2 2))))
(+.f64 (sqrt.f64 (neg.f64 b_2)) (.f64 -1/4 (/.f64 c (/.f64 (.f64 b_2 b_2) (*.f64 a (sqrt.f64 (neg.f64 b_2)))))))
(+.f64 (sqrt.f64 (neg.f64 b_2)) (.f64 (.f64 (/.f64 c b_2) (/.f64 (*.f64 a (sqrt.f64 (neg.f64 b_2))) b_2)) -1/4))
(-.f64 (sqrt.f64 (.f64 -1 b_2)) (+.f64 (.f64 1/4 (/.f64 (.f64 c (.f64 a (sqrt.f64 (.f64 -1 b_2)))) (pow.f64 b_2 2))) (.f64 3/32 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (sqrt.f64 (*.f64 -1 b_2)))) (pow.f64 b_2 4)))))
(-.f64 (sqrt.f64 (neg.f64 b_2)) (fma.f64 1/4 (/.f64 c (/.f64 (.f64 b_2 b_2) (.f64 a (sqrt.f64 (neg.f64 b_2))))) (.f64 3/32 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 4) (.f64 (.f64 a a) (sqrt.f64 (neg.f64 b_2))))))))
(-.f64 (sqrt.f64 (neg.f64 b_2)) (fma.f64 3/32 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 4)) (.f64 a (.f64 a (sqrt.f64 (neg.f64 b_2))))) (/.f64 1/4 (/.f64 (.f64 b_2 b_2) (.f64 a (*.f64 c (sqrt.f64 (neg.f64 b_2))))))))
(-.f64 (sqrt.f64 (.f64 -1 b_2)) (+.f64 (.f64 1/4 (/.f64 (.f64 c (.f64 a (sqrt.f64 (.f64 -1 b_2)))) (pow.f64 b_2 2))) (+.f64 (.f64 7/128 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (sqrt.f64 (.f64 -1 b_2)))) (pow.f64 b_2 6))) (.f64 3/32 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (sqrt.f64 (*.f64 -1 b_2)))) (pow.f64 b_2 4))))))
(-.f64 (sqrt.f64 (neg.f64 b_2)) (fma.f64 1/4 (/.f64 c (/.f64 (.f64 b_2 b_2) (.f64 a (sqrt.f64 (neg.f64 b_2))))) (fma.f64 7/128 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 6) (.f64 (pow.f64 a 3) (sqrt.f64 (neg.f64 b_2))))) (.f64 3/32 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 4) (.f64 (*.f64 a a) (sqrt.f64 (neg.f64 b_2)))))))))
(-.f64 (sqrt.f64 (neg.f64 b_2)) (fma.f64 1/4 (.f64 (/.f64 c b_2) (/.f64 (.f64 a (sqrt.f64 (neg.f64 b_2))) b_2)) (fma.f64 3/32 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 4)) (.f64 a (.f64 a (sqrt.f64 (neg.f64 b_2))))) (.f64 7/128 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 6)) (*.f64 (pow.f64 a 3) (sqrt.f64 (neg.f64 b_2))))))))
(sqrt.f64 b_2)
(-.f64 (sqrt.f64 b_2) (.f64 1/4 (.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))))
(-.f64 (sqrt.f64 b_2) (.f64 (.f64 1/4 (*.f64 c a)) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3)))))
(-.f64 (sqrt.f64 b_2) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))) (.f64 (*.f64 c a) 1/4)))
(-.f64 (sqrt.f64 b_2) (+.f64 (.f64 1/4 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (.f64 3/32 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (sqrt.f64 (/.f64 1 (pow.f64 b_2 7)))))))
(-.f64 (sqrt.f64 b_2) (fma.f64 1/4 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3)))) (.f64 (.f64 3/32 (.f64 (.f64 c c) (*.f64 a a))) (sqrt.f64 (/.f64 1 (pow.f64 b_2 7))))))
(-.f64 (sqrt.f64 b_2) (fma.f64 1/4 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3)))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 b_2 7))) (.f64 (.f64 c (.f64 c (*.f64 a a))) 3/32))))
(-.f64 (sqrt.f64 b_2) (+.f64 (.f64 1/4 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (+.f64 (.f64 3/32 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (sqrt.f64 (/.f64 1 (pow.f64 b_2 7))))) (.f64 7/128 (.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (sqrt.f64 (/.f64 1 (pow.f64 b_2 11))))))))
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(-.f64 (/.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 a)) (log.f64 (/.f64 1 c))))) a) (.f64 1/4 (/.f64 (.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 a)) (log.f64 (/.f64 1 c))))) (pow.f64 b_2 2)) (*.f64 c (pow.f64 a 2)))))
(+.f64 (/.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (neg.f64 a)) (neg.f64 (log.f64 c)))) a) (.f64 -1/4 (/.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (neg.f64 a)) (neg.f64 (log.f64 c)))) (/.f64 (.f64 c (.f64 a a)) (.f64 b_2 b_2)))))
(+.f64 (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 a)) (log.f64 c))) a) (/.f64 (.f64 -1/4 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 a)) (log.f64 c)))) (/.f64 (.f64 a a) (/.f64 b_2 (/.f64 c b_2)))))
(-.f64 (/.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 a)) (log.f64 (/.f64 1 c))))) a) (+.f64 (.f64 1/4 (/.f64 (.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 a)) (log.f64 (/.f64 1 c))))) (pow.f64 b_2 2)) (.f64 c (pow.f64 a 2)))) (.f64 3/32 (/.f64 (.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 a)) (log.f64 (/.f64 1 c))))) (pow.f64 b_2 4)) (*.f64 (pow.f64 c 2) (pow.f64 a 3))))))
(-.f64 (/.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (neg.f64 a)) (neg.f64 (log.f64 c)))) a) (fma.f64 1/4 (/.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (neg.f64 a)) (neg.f64 (log.f64 c)))) (/.f64 (.f64 c (.f64 a a)) (.f64 b_2 b_2))) (.f64 3/32 (/.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (neg.f64 a)) (neg.f64 (log.f64 c)))) (/.f64 (.f64 (pow.f64 a 3) (.f64 c c)) (pow.f64 b_2 4))))))
(-.f64 (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 a)) (log.f64 c))) a) (fma.f64 1/4 (.f64 (/.f64 b_2 (/.f64 c b_2)) (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 a)) (log.f64 c))) (.f64 a a))) (.f64 (/.f64 3/32 (pow.f64 a 3)) (/.f64 (pow.f64 b_2 4) (/.f64 (.f64 c c) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 a)) (log.f64 c))))))))
(-.f64 (/.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 a)) (log.f64 (/.f64 1 c))))) a) (+.f64 (.f64 1/4 (/.f64 (.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 a)) (log.f64 (/.f64 1 c))))) (pow.f64 b_2 2)) (.f64 c (pow.f64 a 2)))) (+.f64 (.f64 3/32 (/.f64 (.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 a)) (log.f64 (/.f64 1 c))))) (pow.f64 b_2 4)) (.f64 (pow.f64 c 2) (pow.f64 a 3)))) (.f64 7/128 (/.f64 (.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 a)) (log.f64 (/.f64 1 c))))) (pow.f64 b_2 6)) (*.f64 (pow.f64 c 3) (pow.f64 a 4)))))))
(-.f64 (/.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (neg.f64 a)) (neg.f64 (log.f64 c)))) a) (fma.f64 1/4 (/.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (neg.f64 a)) (neg.f64 (log.f64 c)))) (/.f64 (.f64 c (.f64 a a)) (.f64 b_2 b_2))) (fma.f64 3/32 (/.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (neg.f64 a)) (neg.f64 (log.f64 c)))) (/.f64 (.f64 (pow.f64 a 3) (.f64 c c)) (pow.f64 b_2 4))) (.f64 7/128 (/.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (neg.f64 a)) (neg.f64 (log.f64 c)))) (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 4)) (pow.f64 b_2 6)))))))
(-.f64 (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 a)) (log.f64 c))) a) (fma.f64 1/4 (.f64 (/.f64 b_2 (/.f64 c b_2)) (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 a)) (log.f64 c))) (.f64 a a))) (fma.f64 7/128 (.f64 (/.f64 (pow.f64 b_2 6) (pow.f64 c 3)) (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 a)) (log.f64 c))) (pow.f64 a 4))) (.f64 (/.f64 3/32 (pow.f64 a 3)) (/.f64 (pow.f64 b_2 4) (/.f64 (*.f64 c c) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 a)) (log.f64 c)))))))))
(/.f64 (exp.f64 (*.f64 1/4 (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c))))) a)
(/.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) a)
(-.f64 (/.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c))))) a) (.f64 1/4 (/.f64 (.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c))))) (pow.f64 b_2 2)) (*.f64 c (pow.f64 a 2)))))
(+.f64 (/.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) a) (.f64 -1/4 (.f64 (/.f64 (.f64 b_2 b_2) c) (/.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) (.f64 a a)))))
(+.f64 (/.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) a) (.f64 (.f64 (/.f64 (.f64 b_2 b_2) (.f64 c (*.f64 a a))) (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c))))) -1/4))
(-.f64 (/.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c))))) a) (+.f64 (.f64 3/32 (/.f64 (.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c))))) (pow.f64 b_2 4)) (.f64 (pow.f64 c 2) (pow.f64 a 3)))) (.f64 1/4 (/.f64 (.f64 (pow.f64 b_2 2) (exp.f64 (.f64 1/4 (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))))) (*.f64 c (pow.f64 a 2))))))
(-.f64 (/.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) a) (fma.f64 3/32 (/.f64 (pow.f64 b_2 4) (/.f64 (.f64 (pow.f64 a 3) (.f64 c c)) (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))))) (.f64 1/4 (.f64 (/.f64 (.f64 b_2 b_2) c) (/.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) (.f64 a a))))))
(-.f64 (/.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) a) (fma.f64 1/4 (.f64 (/.f64 (.f64 b_2 b_2) (.f64 c (.f64 a a))) (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c))))) (.f64 (/.f64 (pow.f64 b_2 4) (.f64 c c)) (*.f64 (/.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) (pow.f64 a 3)) 3/32))))
(-.f64 (/.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c))))) a) (+.f64 (.f64 7/128 (/.f64 (.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c))))) (pow.f64 b_2 6)) (.f64 (pow.f64 c 3) (pow.f64 a 4)))) (+.f64 (.f64 3/32 (/.f64 (.f64 (pow.f64 b_2 4) (exp.f64 (.f64 1/4 (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))))) (.f64 (pow.f64 c 2) (pow.f64 a 3)))) (.f64 1/4 (/.f64 (.f64 (pow.f64 b_2 2) (exp.f64 (.f64 1/4 (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))))) (*.f64 c (pow.f64 a 2)))))))
(-.f64 (/.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) a) (fma.f64 7/128 (/.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 4)) (pow.f64 b_2 6))) (fma.f64 3/32 (/.f64 (pow.f64 b_2 4) (/.f64 (.f64 (pow.f64 a 3) (.f64 c c)) (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))))) (.f64 1/4 (.f64 (/.f64 (.f64 b_2 b_2) c) (/.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) (*.f64 a a)))))))
(-.f64 (/.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) a) (fma.f64 7/128 (/.f64 (pow.f64 b_2 6) (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 4)) (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))))) (fma.f64 1/4 (.f64 (/.f64 (.f64 b_2 b_2) (.f64 c (.f64 a a))) (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c))))) (.f64 (/.f64 (pow.f64 b_2 4) (.f64 c c)) (.f64 (/.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) (pow.f64 a 3)) 3/32)))))

prune513.0ms (6%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	662	3	665
Fresh	7	5	12
Picked	1	0	1
Done	0	2	2
Total	670	10	680

Error

0.6b

Counts

680 → 10

Alt Table

Status	Error	Program
	43.1b	(-.f64 (-.f64 (*.f64 1/2 (/.f64 c b_2)) (/.f64 b_2 a)) (/.f64 b_2 a))
✓	31.0b	(-.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a) (/.f64 b_2 a))
	50.9b	(-.f64 (/.f64 (pow.f64 (exp.f64 (*.f64 1/4 (-.f64 (log.f64 (neg.f64 a)) (log.f64 (/.f64 1 c))))) 2) a) (/.f64 b_2 a))
	44.1b	(/.f64 (.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (.f64 a c))) (/.f64 1 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))))) a)
	31.6b	(fma.f64 (/.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) -1/4)) 1) (/.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) a) (/.f64 (neg.f64 b_2) a))
	43.7b	(*.f64 -1/2 (/.f64 c b_2))
	52.4b	(sqrt.f64 (/.f64 (neg.f64 c) a))
✓	30.9b	(/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (*.f64 a c))))) b_2) a)
	45.8b	(fma.f64 (.f64 a (/.f64 c (/.f64 (pow.f64 b_2 3) c))) -1/8 (.f64 -1/2 (/.f64 c b_2)))
	58.6b	(-.f64 (/.f64 (fma.f64 (*.f64 (/.f64 c b_2) a) -1/2 b_2) a) (/.f64 b_2 a))

Compiler

Compiled 28616 to 11493 computations (59.8% saved)

regimes3.2s (37.9%)

Accuracy

Total 9.2b remaining (95%)

Threshold costs 0b (0%)

Counts

241 → 3

Compiler

Compiled 4587 to 1287 computations (71.9% saved)

bsearch66.0ms (0.8%)

Algorithm

2×	binary-search

Calls

2 calls:

42.0ms	b_2
22.0ms	b_2

Steps

Iters	Point		Range
8.2e-116	∈ [	3.46128782480403e-123	,	8.442789220475591e-116	]
-1.85e+128	∈ [	-5.755935047723373e+130	,	-3.1782238399741663e+127	]

Compiler

Compiled 4 to 3 computations (25% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative_binary64`
7×	`+-commutative_binary64`
7×	`sub-neg_binary64`
5×	`neg-sub0_binary64`
5×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	54
1	35	54
2	52	54
3	62	54
4	69	54
5	71	54

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 b_2 -185000000000000004287649660514247694646901852456071055363542463607708505752782993467011936833649052126918104298175109751629676544) (fma.f64 1/2 (/.f64 c b_2) (*.f64 (/.f64 b_2 a) -2)) (if (<=.f64 b_2 3637742638686509/44362715105933037753254626946289339254982993206013065202727673289833940924890009968639590497666233249558259375382457149263586525184) (-.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) (/.f64 b_2 a)) (*.f64 -1/2 (/.f64 c b_2))))

Outputs

(if (<=.f64 b_2 -185000000000000004287649660514247694646901852456071055363542463607708505752782993467011936833649052126918104298175109751629676544) (fma.f64 1/2 (/.f64 c b_2) (*.f64 (/.f64 b_2 a) -2)) (if (<=.f64 b_2 3637742638686509/44362715105933037753254626946289339254982993206013065202727673289833940924890009968639590497666233249558259375382457149263586525184) (-.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) (/.f64 b_2 a)) (*.f64 -1/2 (/.f64 c b_2))))

(if (<=.f64 b_2 -185000000000000004287649660514247694646901852456071055363542463607708505752782993467011936833649052126918104298175109751629676544) (fma.f64 1/2 (/.f64 c b_2) (*.f64 (/.f64 b_2 a) -2)) (if (<=.f64 b_2 3637742638686509/44362715105933037753254626946289339254982993206013065202727673289833940924890009968639590497666233249558259375382457149263586525184) (-.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) a) (/.f64 b_2 a)) (*.f64 (/.f64 c b_2) -1/2)))

end134.0ms (1.6%)

Stop Event

1×

fuel

Compiler

Compiled 269 to 160 computations (40.5% saved)

Details

analyze997.0ms (11.7%)

sample2.1s (24.3%)

preprocess39.0ms (0.5%)

simplify64.0ms (0.8%)

prune3.0ms (0%)

localize8.0ms (0.1%)

series33.0ms (0.4%)

rewrite93.0ms (1.1%)

simplify55.0ms (0.6%)

prune320.0ms (3.7%)

localize12.0ms (0.1%)

series22.0ms (0.3%)

rewrite69.0ms (0.8%)

simplify61.0ms (0.7%)

prune130.0ms (1.5%)

localize11.0ms (0.1%)

series11.0ms (0.1%)

rewrite67.0ms (0.8%)

simplify51.0ms (0.6%)

prune244.0ms (2.9%)

localize15.0ms (0.2%)

series53.0ms (0.6%)

rewrite58.0ms (0.7%)

simplify91.0ms (1.1%)

prune513.0ms (6%)

regimes3.2s (37.9%)

bsearch66.0ms (0.8%)

simplify3.0ms (0%)

end134.0ms (1.6%)

Profiling