Details

analyze892.0ms (14.5%)

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)

sample2.2s (35.9%)

Results

803.0ms	5313×	body	128	valid
598.0ms	1229×	body	2048	valid
294.0ms	731×	body	1024	valid
227.0ms	399×	body	4096	valid
122.0ms	1019×	body	128	invalid
115.0ms	400×	body	512	valid
38.0ms	184×	body	256	valid

preprocess70.0ms (1.1%)

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)

simplify63.0ms (1%)

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

34.6b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	34.6b	(/.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
✓	0.1b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
✓	0.2b	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	1.7b	(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)
✓	24.0b	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

series25.0ms (0.4%)

Counts

4 → 96

Calls

36 calls:

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

rewrite97.0ms (1.6%)

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

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

simplify70.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

706×	`fma-def_binary64`
681×	`associate-/l*_binary64`
541×	`associate-/r*_binary64`
324×	`associate-*l/_binary64`
164×	`associate-/r/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	158	2316
1	506	2235
2	1737	2145

Stop Event

1×	node limit

Counts

409 → 393

Calls

Call 1

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

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

prune372.0ms (6%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	381	12	393
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	382	12	394

Error

5.0b

Counts

394 → 12

Alt Table

Status	Error	Program
	46.4b	(.f64 (/.f64 (sqrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) (cbrt.f64 (.f64 a a))) (/.f64 (sqrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) (cbrt.f64 a)))
	45.2b	(/.f64 (-.f64 (neg.f64 b_2) b_2) a)
	45.3b	(fma.f64 1/2 (/.f64 c b_2) (*.f64 -2 (/.f64 b_2 a)))
	46.3b	(/.f64 (/.f64 c (/.f64 (/.f64 b_2 a) -1/2)) a)
	34.7b	(pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) -1)
	45.4b	(/.f64 (-.f64 (-.f64 (/.f64 1/2 (/.f64 (/.f64 b_2 c) a)) b_2) b_2) a)
	48.3b	(.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2) (sqrt.f64 a)))
	40.0b	(*.f64 -1/2 (/.f64 c b_2))
	55.2b	(/.f64 (-.f64 b_2 b_2) a)
	42.5b	(/.f64 (.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))))) a)
▶	34.7b	(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2) (/.f64 1 a))
	42.7b	(/.f64 (-.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2)) b_2) a)

Compiler

Compiled 10099 to 3308 computations (67.2% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	0.2b	(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2) (/.f64 1 a))
	1.7b	(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)
	24.0b	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

series7.0ms (0.1%)

Counts

1 → 20

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	b_2	@	0	(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2) (/.f64 1 a))
0.0ms	a	@	inf	(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2) (/.f64 1 a))
0.0ms	a	@	-inf	(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2) (/.f64 1 a))
0.0ms	c	@	-inf	(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2) (/.f64 1 a))
0.0ms	b_2	@	inf	(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2) (/.f64 1 a))

rewrite51.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

699×	`fma-def_binary64`
320×	`fma-neg_binary64`
230×	`expm1-udef_binary64`
230×	`log1p-udef_binary64`
139×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	18
1	272	18
2	3842	18

Stop Event

1×	node limit

Counts

1 → 43

Calls

Call 1

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

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

Outputs

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

simplify26.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

742×	`times-frac_binary64`
537×	`associate-l_binary64`
411×	`associate-/l*_binary64`
366×	`associate-/r*_binary64`
309×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	101	698
1	318	684
2	1099	643

Stop Event

1×	node limit

Counts

63 → 71

Calls

Call 1

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

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

prune318.0ms (5.2%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	385	6	391
Fresh	5	6	11
Picked	0	1	1
Done	0	0	0
Total	390	13	403

Error

5.0b

Counts

403 → 13

Alt Table

Status	Error	Program
	45.8b	(/.f64 (-.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2) (pow.f64 b_2 3)) (.f64 a (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)))))
▶	34.7b	(pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) -1)
	46.3b	(*.f64 (/.f64 c (/.f64 (/.f64 b_2 a) -1/2)) (/.f64 1 a))
	40.0b	(*.f64 -1/2 (/.f64 c b_2))
	45.2b	(.f64 (.f64 b_2 -2) (/.f64 1 a))
	55.2b	(/.f64 (-.f64 b_2 b_2) a)
	40.0b	(/.f64 (*.f64 c -1/2) b_2)
✓	34.7b	(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2) (/.f64 1 a))
	34.9b	(/.f64 (sqrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) (/.f64 a (sqrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2))))
	45.3b	(fma.f64 1/2 (/.f64 c b_2) (*.f64 -2 (/.f64 b_2 a)))
	45.4b	(/.f64 (-.f64 (-.f64 (/.f64 1/2 (/.f64 (/.f64 b_2 c) a)) b_2) b_2) a)
	45.2b	(/.f64 (-.f64 (neg.f64 b_2) b_2) a)
	42.5b	(/.f64 (.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (.f64 a c))) (/.f64 1 a)) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))))

Compiler

Compiled 10635 to 3959 computations (62.8% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) -1)
	0.2b	(-.f64 (.f64 b_2 b_2) (.f64 a c))
	1.7b	(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)
	24.0b	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

series25.0ms (0.4%)

Counts

1 → 20

Calls

9 calls:

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

rewrite51.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

323×	`fma-neg_binary64`
238×	`expm1-udef_binary64`
238×	`log1p-udef_binary64`
143×	`add-sqr-sqrt_binary64`
139×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	21
1	277	18
2	3950	18

Stop Event

1×	node limit

Counts

1 → 46

Calls

Call 1

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

Outputs

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

simplify54.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

309×	`associate-r_binary64`
254×	`fma-def_binary64`
235×	`associate-l_binary64`
207×	`*-commutative_binary64`
144×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	236	1493
1	851	1407
2	3928	1385

Stop Event

1×	node limit

Counts

66 → 77

Calls

Call 1

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

Outputs
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (/.f64 (.f64 -1/2 c) b_2))
(fma.f64 -1/2 (/.f64 c b_2) (/.f64 -1/8 (/.f64 (pow.f64 b_2 3) (.f64 c (.f64 c a)))))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 c 2) (+.f64 (.f64 -1/4 (/.f64 c (pow.f64 b_2 3))) (.f64 1/8 (/.f64 c (pow.f64 b_2 3))))) (pow.f64 b_2 2))) (.f64 1/32 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)))))) (.f64 -1/2 (/.f64 c b_2))))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (fma.f64 -1 (.f64 (.f64 a a) (fma.f64 -1/4 (/.f64 (.f64 c c) (/.f64 (.f64 b_2 b_2) (.f64 (/.f64 c (pow.f64 b_2 3)) -1/8))) (.f64 1/32 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))))) (/.f64 (.f64 -1/2 c) b_2)))
(fma.f64 -1/8 (.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) c)) a) (-.f64 (.f64 -1/2 (/.f64 c b_2)) (.f64 (.f64 a a) (fma.f64 1/32 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (/.f64 (.f64 (.f64 (.f64 c c) -1/4) (.f64 -1/8 (/.f64 c (pow.f64 b_2 3)))) (*.f64 b_2 b_2))))))
(-.f64 (fma.f64 -1/2 (/.f64 c b_2) (/.f64 -1/8 (/.f64 (pow.f64 b_2 3) (.f64 c (.f64 c a))))) (.f64 (.f64 a a) (fma.f64 1/32 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (/.f64 (.f64 (.f64 (.f64 c c) -1/4) (.f64 -1/8 (/.f64 c (pow.f64 b_2 3)))) (*.f64 b_2 b_2)))))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (.f64 1/4 (/.f64 (.f64 c (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 c 2) (+.f64 (.f64 -1/4 (/.f64 c (pow.f64 b_2 3))) (.f64 1/8 (/.f64 c (pow.f64 b_2 3))))) (pow.f64 b_2 2))) (.f64 1/32 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))))) (pow.f64 b_2 2))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (+.f64 (.f64 -1/4 (/.f64 c (pow.f64 b_2 3))) (.f64 1/8 (/.f64 c (pow.f64 b_2 3))))) (pow.f64 b_2 4))) (.f64 -1/4 (/.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (.f64 c (+.f64 (.f64 -1/4 (/.f64 c (pow.f64 b_2 3))) (.f64 1/8 (/.f64 c (pow.f64 b_2 3))))) (pow.f64 b_2 2))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 c 2) (pow.f64 b_2 5))) (.f64 -2 (/.f64 (.f64 (+.f64 (pow.f64 (.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 3))) 2) (.f64 1/16 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)))) b_2) (pow.f64 c 2))))) (pow.f64 c 2)) (pow.f64 b_2 2))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 c 2) (+.f64 (.f64 -1/4 (/.f64 c (pow.f64 b_2 3))) (.f64 1/8 (/.f64 c (pow.f64 b_2 3))))) (pow.f64 b_2 2))) (.f64 1/32 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)))))) (.f64 -1/2 (/.f64 c b_2)))))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (fma.f64 -1 (.f64 (pow.f64 a 3) (fma.f64 1/4 (/.f64 c (/.f64 (.f64 b_2 b_2) (fma.f64 -1/4 (/.f64 (.f64 c c) (/.f64 (.f64 b_2 b_2) (.f64 (/.f64 c (pow.f64 b_2 3)) -1/8))) (.f64 1/32 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)))))) (fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 4) (.f64 (/.f64 c (pow.f64 b_2 3)) -1/8))) (.f64 -1/4 (/.f64 (fma.f64 -1/4 (/.f64 c (/.f64 (.f64 b_2 b_2) (.f64 (/.f64 c (pow.f64 b_2 3)) -1/8))) (fma.f64 1/16 (/.f64 (.f64 c c) (pow.f64 b_2 5)) (.f64 -2 (/.f64 (+.f64 (pow.f64 (.f64 -1/8 (/.f64 (.f64 c c) (pow.f64 b_2 3))) 2) (.f64 1/16 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)))) (/.f64 (.f64 c c) b_2))))) (/.f64 (.f64 b_2 b_2) (.f64 c c))))))) (fma.f64 -1 (.f64 (.f64 a a) (fma.f64 -1/4 (/.f64 (.f64 c c) (/.f64 (.f64 b_2 b_2) (.f64 (/.f64 c (pow.f64 b_2 3)) -1/8))) (.f64 1/32 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))))) (/.f64 (.f64 -1/2 c) b_2))))
(fma.f64 -1/8 (.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) c)) a) (-.f64 (-.f64 (.f64 -1/2 (/.f64 c b_2)) (.f64 (.f64 a a) (fma.f64 1/32 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (/.f64 (.f64 (.f64 (.f64 c c) -1/4) (.f64 -1/8 (/.f64 c (pow.f64 b_2 3)))) (.f64 b_2 b_2))))) (.f64 (pow.f64 a 3) (fma.f64 1/4 (.f64 (/.f64 c (.f64 b_2 b_2)) (fma.f64 1/32 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (/.f64 (.f64 (.f64 (.f64 c c) -1/4) (.f64 -1/8 (/.f64 c (pow.f64 b_2 3)))) (.f64 b_2 b_2)))) (fma.f64 -1/4 (/.f64 (.f64 c c) (/.f64 (.f64 b_2 b_2) (fma.f64 -1/4 (.f64 (/.f64 c (.f64 b_2 b_2)) (.f64 -1/8 (/.f64 c (pow.f64 b_2 3)))) (fma.f64 1/16 (/.f64 c (/.f64 (pow.f64 b_2 5) c)) (.f64 -2 (.f64 (/.f64 (fma.f64 1/16 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)) (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)) 1/64)) (.f64 c c)) b_2)))))) (.f64 -1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 4)) (*.f64 -1/8 (/.f64 c (pow.f64 b_2 3))))))))))
(-.f64 (-.f64 (fma.f64 -1/2 (/.f64 c b_2) (/.f64 -1/8 (/.f64 (pow.f64 b_2 3) (.f64 c (.f64 c a))))) (.f64 (.f64 a a) (fma.f64 1/32 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (/.f64 (.f64 (.f64 (.f64 c c) -1/4) (.f64 -1/8 (/.f64 c (pow.f64 b_2 3)))) (.f64 b_2 b_2))))) (.f64 (pow.f64 a 3) (fma.f64 1/4 (.f64 (/.f64 c (.f64 b_2 b_2)) (fma.f64 1/32 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (/.f64 (.f64 (.f64 (.f64 c c) -1/4) (.f64 -1/8 (/.f64 c (pow.f64 b_2 3)))) (.f64 b_2 b_2)))) (fma.f64 -1/4 (/.f64 (.f64 c c) (/.f64 (.f64 b_2 b_2) (fma.f64 -1/4 (.f64 (/.f64 c (.f64 b_2 b_2)) (.f64 -1/8 (/.f64 c (pow.f64 b_2 3)))) (fma.f64 1/16 (/.f64 c (/.f64 (pow.f64 b_2 5) c)) (.f64 -2 (.f64 (/.f64 (fma.f64 1/16 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)) (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)) 1/64)) (.f64 c c)) b_2)))))) (.f64 -1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 4)) (*.f64 -1/8 (/.f64 c (pow.f64 b_2 3)))))))))
(/.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) a)
(/.f64 (sqrt.f64 (*.f64 (neg.f64 c) a)) a)
(/.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) a)
(+.f64 (.f64 -1 (/.f64 b_2 a)) (/.f64 (sqrt.f64 (neg.f64 (.f64 c a))) a))
(fma.f64 -1 (/.f64 b_2 a) (/.f64 (sqrt.f64 (*.f64 (neg.f64 c) a)) a))
(-.f64 (/.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) a) (/.f64 b_2 a))
(+.f64 (.f64 (-.f64 (/.f64 1 (.f64 (sqrt.f64 (neg.f64 (.f64 c a))) a)) (.f64 -1 (/.f64 (.f64 (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 2) (+.f64 (.f64 -1 (/.f64 a (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 3))) (.f64 1/2 (/.f64 a (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 3))))) (pow.f64 a 2)))) (pow.f64 b_2 2)) (+.f64 (.f64 -1 (/.f64 b_2 a)) (/.f64 (sqrt.f64 (neg.f64 (.f64 c a))) a)))
(fma.f64 (-.f64 (/.f64 (/.f64 1 (sqrt.f64 (.f64 (neg.f64 c) a))) a) (neg.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 (neg.f64 c) a)) 2) (/.f64 (.f64 a a) (.f64 (/.f64 a (pow.f64 (sqrt.f64 (.f64 (neg.f64 c) a)) 3)) -1/2))))) (.f64 b_2 b_2) (fma.f64 -1 (/.f64 b_2 a) (/.f64 (sqrt.f64 (*.f64 (neg.f64 c) a)) a)))
(fma.f64 (.f64 b_2 b_2) (+.f64 (/.f64 (/.f64 1 a) (sqrt.f64 (.f64 c (neg.f64 a)))) (.f64 (/.f64 (.f64 -1/2 (/.f64 a (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 3))) a) (/.f64 (.f64 c (neg.f64 a)) a))) (-.f64 (/.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) a) (/.f64 b_2 a)))
(fma.f64 (.f64 b_2 b_2) (-.f64 (/.f64 (/.f64 1 a) (sqrt.f64 (.f64 c (neg.f64 a)))) (/.f64 (.f64 c a) (/.f64 a (/.f64 (.f64 -1/2 (/.f64 a (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 3))) a)))) (-.f64 (/.f64 (sqrt.f64 (.f64 c (neg.f64 a))) a) (/.f64 b_2 a)))
(+.f64 (.f64 (-.f64 (.f64 -1 (/.f64 (.f64 (sqrt.f64 (neg.f64 (.f64 c a))) (+.f64 (.f64 -1 (/.f64 a (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 3))) (.f64 1/2 (/.f64 a (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 3))))) (pow.f64 a 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 2) (+.f64 (.f64 -1 (/.f64 a (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 4))) (/.f64 a (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 4)))) (pow.f64 a 2))) (+.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 2) a)) (/.f64 (.f64 (sqrt.f64 (neg.f64 (.f64 c a))) (+.f64 (.f64 -1 (/.f64 a (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 3))) (.f64 1/2 (/.f64 a (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 3))))) (pow.f64 a 2))))) (pow.f64 b_2 3)) (+.f64 (.f64 (-.f64 (/.f64 1 (.f64 (sqrt.f64 (neg.f64 (.f64 c a))) a)) (.f64 -1 (/.f64 (.f64 (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 2) (+.f64 (.f64 -1 (/.f64 a (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 3))) (.f64 1/2 (/.f64 a (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 3))))) (pow.f64 a 2)))) (pow.f64 b_2 2)) (+.f64 (.f64 -1 (/.f64 b_2 a)) (/.f64 (sqrt.f64 (neg.f64 (.f64 c a))) a))))
(fma.f64 (-.f64 (neg.f64 (/.f64 (sqrt.f64 (.f64 (neg.f64 c) a)) (/.f64 (.f64 a a) (.f64 (/.f64 a (pow.f64 (sqrt.f64 (.f64 (neg.f64 c) a)) 3)) -1/2)))) (fma.f64 -1 (/.f64 (pow.f64 (sqrt.f64 (.f64 (neg.f64 c) a)) 2) (/.f64 (.f64 a a) (.f64 0 (/.f64 a (pow.f64 (sqrt.f64 (.f64 (neg.f64 c) a)) 4))))) (+.f64 (/.f64 (sqrt.f64 (.f64 (neg.f64 c) a)) (/.f64 (.f64 a a) (.f64 (/.f64 a (pow.f64 (sqrt.f64 (.f64 (neg.f64 c) a)) 3)) -1/2))) (/.f64 1 (.f64 a (pow.f64 (sqrt.f64 (.f64 (neg.f64 c) a)) 2)))))) (pow.f64 b_2 3) (fma.f64 (-.f64 (/.f64 (/.f64 1 (sqrt.f64 (.f64 (neg.f64 c) a))) a) (neg.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 (neg.f64 c) a)) 2) (/.f64 (.f64 a a) (.f64 (/.f64 a (pow.f64 (sqrt.f64 (.f64 (neg.f64 c) a)) 3)) -1/2))))) (.f64 b_2 b_2) (fma.f64 -1 (/.f64 b_2 a) (/.f64 (sqrt.f64 (*.f64 (neg.f64 c) a)) a))))
(fma.f64 (pow.f64 b_2 3) (-.f64 (fma.f64 -1 (.f64 (/.f64 (sqrt.f64 (.f64 c (neg.f64 a))) a) (/.f64 (.f64 -1/2 (/.f64 a (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 3))) a)) (.f64 (/.f64 (.f64 c (neg.f64 a)) (.f64 a a)) 0)) (+.f64 (.f64 (/.f64 (sqrt.f64 (.f64 c (neg.f64 a))) a) (/.f64 (.f64 -1/2 (/.f64 a (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 3))) a)) (/.f64 1 (.f64 a (.f64 c (neg.f64 a)))))) (fma.f64 (.f64 b_2 b_2) (+.f64 (/.f64 (/.f64 1 a) (sqrt.f64 (.f64 c (neg.f64 a)))) (.f64 (/.f64 (.f64 -1/2 (/.f64 a (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 3))) a) (/.f64 (.f64 c (neg.f64 a)) a))) (-.f64 (/.f64 (sqrt.f64 (.f64 c (neg.f64 a))) a) (/.f64 b_2 a))))
(fma.f64 (pow.f64 b_2 3) (-.f64 (/.f64 (/.f64 (.f64 (.f64 a 1/2) (sqrt.f64 (.f64 c (neg.f64 a)))) (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 3)) (.f64 a a)) (+.f64 (.f64 (/.f64 (sqrt.f64 (.f64 c (neg.f64 a))) a) (/.f64 (.f64 -1/2 (/.f64 a (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 3))) a)) (/.f64 1 (.f64 a (.f64 c (neg.f64 a)))))) (fma.f64 (.f64 b_2 b_2) (-.f64 (/.f64 (/.f64 1 a) (sqrt.f64 (.f64 c (neg.f64 a)))) (/.f64 (.f64 c a) (/.f64 a (/.f64 (.f64 -1/2 (/.f64 a (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 3))) a)))) (-.f64 (/.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) a) (/.f64 b_2 a))))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (/.f64 (.f64 -1/2 c) b_2))
(fma.f64 -1/2 (/.f64 c b_2) (/.f64 -1/8 (/.f64 (pow.f64 b_2 3) (.f64 c (.f64 c a)))))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/32 (.f64 (pow.f64 c 3) (pow.f64 a 2))) (.f64 -1/4 (.f64 (pow.f64 c 2) (+.f64 (.f64 1/8 (.f64 c (pow.f64 a 2))) (.f64 -1/4 (.f64 c (pow.f64 a 2))))))) (pow.f64 b_2 5))) (.f64 -1/2 (/.f64 c b_2))))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (fma.f64 -1 (/.f64 (fma.f64 1/32 (.f64 (.f64 a a) (pow.f64 c 3)) (.f64 (.f64 -1/4 (.f64 c c)) (.f64 (.f64 c (.f64 a a)) -1/8))) (pow.f64 b_2 5)) (/.f64 (.f64 -1/2 c) b_2)))
(fma.f64 -1/8 (.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) c)) a) (-.f64 (.f64 -1/2 (/.f64 c b_2)) (/.f64 (fma.f64 -1/4 (.f64 (.f64 (.f64 a a) (pow.f64 c 3)) -1/8) (.f64 1/32 (.f64 (.f64 a a) (pow.f64 c 3)))) (pow.f64 b_2 5))))
(-.f64 (fma.f64 -1/2 (/.f64 c b_2) (/.f64 -1/8 (/.f64 (pow.f64 b_2 3) (.f64 c (.f64 c a))))) (/.f64 (fma.f64 -1/4 (.f64 (.f64 (.f64 a a) (pow.f64 c 3)) -1/8) (.f64 1/32 (.f64 (.f64 a a) (pow.f64 c 3)))) (pow.f64 b_2 5)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/4 (.f64 c (.f64 a (+.f64 (.f64 1/32 (.f64 (pow.f64 c 3) (pow.f64 a 2))) (.f64 -1/4 (.f64 (pow.f64 c 2) (+.f64 (.f64 1/8 (.f64 c (pow.f64 a 2))) (.f64 -1/4 (.f64 c (pow.f64 a 2)))))))))) (+.f64 (.f64 -1/16 (.f64 (pow.f64 c 3) (.f64 a (+.f64 (.f64 1/8 (.f64 c (pow.f64 a 2))) (.f64 -1/4 (.f64 c (pow.f64 a 2))))))) (.f64 -1/4 (.f64 (pow.f64 c 2) (+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 c 4) (pow.f64 a 4))) (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2)) (.f64 (pow.f64 c 2) a))) (+.f64 (.f64 1/16 (.f64 (pow.f64 c 2) (pow.f64 a 3))) (.f64 -1/4 (.f64 c (.f64 a (+.f64 (.f64 1/8 (.f64 c (pow.f64 a 2))) (.f64 -1/4 (.f64 c (pow.f64 a 2))))))))))))) (pow.f64 b_2 7))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/32 (.f64 (pow.f64 c 3) (pow.f64 a 2))) (.f64 -1/4 (.f64 (pow.f64 c 2) (+.f64 (.f64 1/8 (.f64 c (pow.f64 a 2))) (.f64 -1/4 (.f64 c (pow.f64 a 2))))))) (pow.f64 b_2 5))) (.f64 -1/2 (/.f64 c b_2)))))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (fma.f64 -1 (/.f64 (fma.f64 1/4 (.f64 c (.f64 a (fma.f64 1/32 (.f64 (.f64 a a) (pow.f64 c 3)) (.f64 (.f64 -1/4 (.f64 c c)) (.f64 (.f64 c (.f64 a a)) -1/8))))) (fma.f64 -1/16 (.f64 (pow.f64 c 3) (.f64 a (.f64 (.f64 c (.f64 a a)) -1/8))) (.f64 (.f64 -1/4 (.f64 c c)) (fma.f64 -2 (/.f64 (fma.f64 1/16 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 (.f64 -1/8 (.f64 (.f64 c c) (.f64 a a))) 2)) (.f64 (.f64 c c) a)) (fma.f64 1/16 (.f64 (.f64 c c) (pow.f64 a 3)) (.f64 -1/4 (.f64 c (.f64 a (.f64 (.f64 c (.f64 a a)) -1/8))))))))) (pow.f64 b_2 7)) (fma.f64 -1 (/.f64 (fma.f64 1/32 (.f64 (.f64 a a) (pow.f64 c 3)) (.f64 (.f64 -1/4 (.f64 c c)) (.f64 (.f64 c (.f64 a a)) -1/8))) (pow.f64 b_2 5)) (/.f64 (*.f64 -1/2 c) b_2))))
(fma.f64 -1/8 (.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) c)) a) (-.f64 (-.f64 (.f64 -1/2 (/.f64 c b_2)) (/.f64 (fma.f64 -1/4 (.f64 (.f64 (.f64 a a) (pow.f64 c 3)) -1/8) (.f64 1/32 (.f64 (.f64 a a) (pow.f64 c 3)))) (pow.f64 b_2 5))) (/.f64 (fma.f64 1/4 (.f64 c (.f64 a (fma.f64 -1/4 (.f64 (.f64 (.f64 a a) (pow.f64 c 3)) -1/8) (.f64 1/32 (.f64 (.f64 a a) (pow.f64 c 3)))))) (fma.f64 -1/4 (.f64 (.f64 c c) (fma.f64 -2 (/.f64 (fma.f64 1/16 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 1/64)) (.f64 c (.f64 c a))) (fma.f64 -1/4 (.f64 (.f64 c a) (.f64 c (.f64 -1/8 (.f64 a a)))) (.f64 (pow.f64 a 3) (.f64 (.f64 1/16 c) c))))) (.f64 (pow.f64 c 3) (.f64 (.f64 a (.f64 c (.f64 -1/8 (*.f64 a a)))) -1/16)))) (pow.f64 b_2 7))))
(-.f64 (-.f64 (fma.f64 -1/2 (/.f64 c b_2) (/.f64 -1/8 (/.f64 (pow.f64 b_2 3) (.f64 c (.f64 c a))))) (/.f64 (fma.f64 -1/4 (.f64 (.f64 (.f64 a a) (pow.f64 c 3)) -1/8) (.f64 1/32 (.f64 (.f64 a a) (pow.f64 c 3)))) (pow.f64 b_2 5))) (/.f64 (fma.f64 1/4 (.f64 c (.f64 a (fma.f64 -1/4 (.f64 (.f64 (.f64 a a) (pow.f64 c 3)) -1/8) (.f64 1/32 (.f64 (.f64 a a) (pow.f64 c 3)))))) (fma.f64 -1/4 (.f64 (.f64 c c) (fma.f64 -2 (/.f64 (fma.f64 1/16 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (.f64 (pow.f64 a 4) (.f64 (pow.f64 c 4) 1/64))) (.f64 c (.f64 c a))) (fma.f64 -1/4 (.f64 (.f64 c a) (.f64 c (.f64 -1/8 (.f64 a a)))) (.f64 (pow.f64 a 3) (.f64 (.f64 1/16 c) c))))) (.f64 (pow.f64 c 3) (.f64 (.f64 a (.f64 c (.f64 -1/8 (*.f64 a a)))) -1/16)))) (pow.f64 b_2 7)))
(*.f64 -2 (/.f64 b_2 a))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(fma.f64 -2 (/.f64 b_2 a) (*.f64 (/.f64 c b_2) 1/2))
(fma.f64 -2 (/.f64 b_2 a) (/.f64 (*.f64 c 1/2) b_2))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (.f64 1/2 (/.f64 c b_2)) (.f64 1/4 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))))))
(fma.f64 -2 (/.f64 b_2 a) (fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (fma.f64 1/2 (/.f64 c b_2) (.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) a)) 1/4))))
(fma.f64 -2 (/.f64 b_2 a) (fma.f64 -1/8 (.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) c)) a) (fma.f64 (/.f64 c b_2) 1/2 (/.f64 (.f64 c (*.f64 c a)) (/.f64 (pow.f64 b_2 3) 1/4)))))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (.f64 -4 (/.f64 (+.f64 (.f64 -1/128 (.f64 (pow.f64 c 3) (pow.f64 a 4))) (.f64 -1/32 (.f64 (pow.f64 c 3) (pow.f64 a 4)))) (.f64 (pow.f64 a 2) (pow.f64 b_2 5)))) (+.f64 (.f64 -1/4 (/.f64 (.f64 c (.f64 a (+.f64 (.f64 1/4 (.f64 (pow.f64 c 2) a)) (.f64 -1/8 (.f64 (pow.f64 c 2) a))))) (pow.f64 b_2 5))) (+.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 1/4 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3)))))))))
(fma.f64 -2 (/.f64 b_2 a) (fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (fma.f64 -4 (/.f64 (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 4)) -5/128) (.f64 (.f64 a a) (pow.f64 b_2 5))) (fma.f64 -1/4 (/.f64 c (/.f64 (pow.f64 b_2 5) (.f64 a (.f64 (.f64 (.f64 c c) a) 1/8)))) (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 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) 1/4)))))))
(fma.f64 -2 (/.f64 b_2 a) (fma.f64 -1/8 (.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) c)) a) (fma.f64 -4 (.f64 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 4)) (.f64 a a)) (/.f64 -5/128 (pow.f64 b_2 5))) (fma.f64 -1/4 (.f64 (/.f64 c (pow.f64 b_2 5)) (.f64 a (.f64 (.f64 c c) (.f64 a 1/8)))) (fma.f64 -1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (.f64 a a)) (fma.f64 (/.f64 c b_2) 1/2 (/.f64 (.f64 c (*.f64 c a)) (/.f64 (pow.f64 b_2 3) 1/4))))))))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (/.f64 (.f64 -1/2 c) b_2))
(fma.f64 -1/2 (/.f64 c b_2) (/.f64 -1/8 (/.f64 (pow.f64 b_2 3) (.f64 c (.f64 c a)))))
(+.f64 (.f64 -1 (.f64 (pow.f64 c 3) (+.f64 (.f64 -1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (pow.f64 a 2) (pow.f64 b_2 3))) (.f64 -1/4 (/.f64 (pow.f64 a 2) (pow.f64 b_2 3)))) (pow.f64 b_2 2))) (.f64 1/32 (/.f64 (pow.f64 a 2) (pow.f64 b_2 5)))))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2))))
(fma.f64 -1 (.f64 (pow.f64 c 3) (fma.f64 -1/4 (/.f64 (.f64 -1/8 (/.f64 (.f64 a a) (pow.f64 b_2 3))) (.f64 b_2 b_2)) (.f64 1/32 (/.f64 (.f64 a a) (pow.f64 b_2 5))))) (fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (/.f64 (.f64 -1/2 c) b_2)))
(fma.f64 (neg.f64 (pow.f64 c 3)) (fma.f64 1/32 (/.f64 a (/.f64 (pow.f64 b_2 5) a)) (/.f64 (.f64 1/32 (/.f64 (.f64 a a) (pow.f64 b_2 3))) (.f64 b_2 b_2))) (fma.f64 -1/2 (/.f64 c b_2) (/.f64 -1/8 (/.f64 (pow.f64 b_2 3) (.f64 c (*.f64 c a))))))
(+.f64 (.f64 -1 (.f64 (pow.f64 c 3) (+.f64 (.f64 -1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (pow.f64 a 2) (pow.f64 b_2 3))) (.f64 -1/4 (/.f64 (pow.f64 a 2) (pow.f64 b_2 3)))) (pow.f64 b_2 2))) (.f64 1/32 (/.f64 (pow.f64 a 2) (pow.f64 b_2 5)))))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (.f64 -1 (.f64 (pow.f64 c 4) (+.f64 (.f64 -1/16 (/.f64 (.f64 a (+.f64 (.f64 1/8 (/.f64 (pow.f64 a 2) (pow.f64 b_2 3))) (.f64 -1/4 (/.f64 (pow.f64 a 2) (pow.f64 b_2 3))))) (pow.f64 b_2 4))) (+.f64 (.f64 -1/4 (/.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 a 3) (pow.f64 b_2 5))) (+.f64 (.f64 -2 (/.f64 (.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 a 4) (pow.f64 b_2 6))) (pow.f64 (.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 b_2 3))) 2)) b_2) a)) (.f64 -1/4 (/.f64 (.f64 a (+.f64 (.f64 1/8 (/.f64 (pow.f64 a 2) (pow.f64 b_2 3))) (.f64 -1/4 (/.f64 (pow.f64 a 2) (pow.f64 b_2 3))))) (pow.f64 b_2 2))))) (pow.f64 b_2 2))) (.f64 1/4 (/.f64 (.f64 a (+.f64 (.f64 -1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (pow.f64 a 2) (pow.f64 b_2 3))) (.f64 -1/4 (/.f64 (pow.f64 a 2) (pow.f64 b_2 3)))) (pow.f64 b_2 2))) (.f64 1/32 (/.f64 (pow.f64 a 2) (pow.f64 b_2 5))))) (pow.f64 b_2 2))))))) (*.f64 -1/2 (/.f64 c b_2)))))
(fma.f64 -1 (.f64 (pow.f64 c 3) (fma.f64 -1/4 (/.f64 (.f64 -1/8 (/.f64 (.f64 a a) (pow.f64 b_2 3))) (.f64 b_2 b_2)) (.f64 1/32 (/.f64 (.f64 a a) (pow.f64 b_2 5))))) (fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (fma.f64 -1 (.f64 (pow.f64 c 4) (fma.f64 -1/16 (/.f64 a (/.f64 (pow.f64 b_2 4) (.f64 -1/8 (/.f64 (.f64 a a) (pow.f64 b_2 3))))) (fma.f64 -1/4 (/.f64 (fma.f64 1/16 (/.f64 (pow.f64 a 3) (pow.f64 b_2 5)) (fma.f64 -2 (/.f64 (fma.f64 1/16 (/.f64 (pow.f64 a 4) (pow.f64 b_2 6)) (pow.f64 (.f64 -1/8 (/.f64 (.f64 a a) (pow.f64 b_2 3))) 2)) (/.f64 a b_2)) (.f64 -1/4 (/.f64 a (/.f64 (.f64 b_2 b_2) (.f64 -1/8 (/.f64 (.f64 a a) (pow.f64 b_2 3)))))))) (.f64 b_2 b_2)) (.f64 1/4 (/.f64 a (/.f64 (.f64 b_2 b_2) (fma.f64 -1/4 (/.f64 (.f64 -1/8 (/.f64 (.f64 a a) (pow.f64 b_2 3))) (.f64 b_2 b_2)) (.f64 1/32 (/.f64 (.f64 a a) (pow.f64 b_2 5)))))))))) (/.f64 (*.f64 -1/2 c) b_2))))
(-.f64 (fma.f64 -1/8 (.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) c)) a) (-.f64 (.f64 -1/2 (/.f64 c b_2)) (.f64 (pow.f64 c 4) (fma.f64 -1/16 (.f64 (/.f64 a (pow.f64 b_2 4)) (.f64 -1/8 (/.f64 (.f64 a a) (pow.f64 b_2 3)))) (fma.f64 -1/4 (/.f64 (fma.f64 1/16 (/.f64 (pow.f64 a 3) (pow.f64 b_2 5)) (fma.f64 -2 (.f64 (/.f64 (fma.f64 1/16 (/.f64 (pow.f64 a 4) (pow.f64 b_2 6)) (.f64 (/.f64 (pow.f64 a 4) (pow.f64 b_2 6)) 1/64)) a) b_2) (/.f64 (.f64 (.f64 1/32 (/.f64 (.f64 a a) (pow.f64 b_2 3))) a) (.f64 b_2 b_2)))) (.f64 b_2 b_2)) (.f64 1/4 (.f64 (/.f64 a (.f64 b_2 b_2)) (fma.f64 1/32 (/.f64 a (/.f64 (pow.f64 b_2 5) a)) (/.f64 (.f64 1/32 (/.f64 (.f64 a a) (pow.f64 b_2 3))) (.f64 b_2 b_2)))))))))) (.f64 (pow.f64 c 3) (fma.f64 1/32 (/.f64 a (/.f64 (pow.f64 b_2 5) a)) (/.f64 (.f64 1/32 (/.f64 (.f64 a a) (pow.f64 b_2 3))) (*.f64 b_2 b_2)))))
(-.f64 (fma.f64 (neg.f64 (pow.f64 c 3)) (fma.f64 1/32 (/.f64 a (/.f64 (pow.f64 b_2 5) a)) (/.f64 (.f64 1/32 (/.f64 (.f64 a a) (pow.f64 b_2 3))) (.f64 b_2 b_2))) (fma.f64 -1/2 (/.f64 c b_2) (/.f64 -1/8 (/.f64 (pow.f64 b_2 3) (.f64 c (.f64 c a)))))) (.f64 (pow.f64 c 4) (fma.f64 -1/16 (.f64 (/.f64 a (pow.f64 b_2 4)) (.f64 -1/8 (/.f64 (.f64 a a) (pow.f64 b_2 3)))) (fma.f64 -1/4 (/.f64 (fma.f64 1/16 (/.f64 (pow.f64 a 3) (pow.f64 b_2 5)) (fma.f64 -2 (.f64 (/.f64 (fma.f64 1/16 (/.f64 (pow.f64 a 4) (pow.f64 b_2 6)) (.f64 (/.f64 (pow.f64 a 4) (pow.f64 b_2 6)) 1/64)) a) b_2) (/.f64 (.f64 (.f64 1/32 (/.f64 (.f64 a a) (pow.f64 b_2 3))) a) (.f64 b_2 b_2)))) (.f64 b_2 b_2)) (.f64 1/4 (.f64 (/.f64 a (.f64 b_2 b_2)) (fma.f64 1/32 (/.f64 a (/.f64 (pow.f64 b_2 5) a)) (/.f64 (.f64 1/32 (/.f64 (.f64 a a) (pow.f64 b_2 3))) (.f64 b_2 b_2)))))))))

prune330.0ms (5.4%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	396	1	397
Fresh	1	10	11
Picked	0	1	1
Done	0	1	1
Total	397	13	410

Error

5.0b

Counts

410 → 13

Alt Table

Status	Error	Program
	45.8b	(/.f64 (-.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2) (pow.f64 b_2 3)) (.f64 a (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)))))
✓	34.7b	(pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) -1)
	46.3b	(*.f64 (/.f64 c (/.f64 (/.f64 b_2 a) -1/2)) (/.f64 1 a))
	40.0b	(*.f64 -1/2 (/.f64 c b_2))
	45.2b	(.f64 (.f64 b_2 -2) (/.f64 1 a))
	55.2b	(/.f64 (-.f64 b_2 b_2) a)
	40.0b	(/.f64 (*.f64 c -1/2) b_2)
✓	34.7b	(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2) (/.f64 1 a))
	45.3b	(fma.f64 1/2 (/.f64 c b_2) (*.f64 -2 (/.f64 b_2 a)))
	45.4b	(/.f64 (-.f64 (-.f64 (/.f64 1/2 (/.f64 (/.f64 b_2 c) a)) b_2) b_2) a)
	45.2b	(/.f64 (-.f64 (neg.f64 b_2) b_2) a)
▶	34.7b	(-.f64 (/.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) a) (/.f64 b_2 a))
	42.5b	(/.f64 (.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (.f64 a c))) (/.f64 1 a)) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))))

Compiler

Compiled 12037 to 4830 computations (59.9% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) a)
✓	0.3b	(fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))
✓	8.3b	(-.f64 (/.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) a) (/.f64 b_2 a))
✓	24.0b	(sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a))))

series22.0ms (0.3%)

Counts

4 → 96

Calls

36 calls:

Time	Variable		Point	Expression
4.0ms	b_2	@	0	(sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a))))
2.0ms	b_2	@	0	(-.f64 (/.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) a) (/.f64 b_2 a))
1.0ms	b_2	@	inf	(-.f64 (/.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) a) (/.f64 b_2 a))
1.0ms	a	@	-inf	(-.f64 (/.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) a) (/.f64 b_2 a))
1.0ms	a	@	inf	(-.f64 (/.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) a) (/.f64 b_2 a))

rewrite76.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

357×	`fma-def_binary64`
236×	`fma-neg_binary64`
207×	`expm1-udef_binary64`
207×	`log1p-udef_binary64`
137×	`egg-rr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	55
1	249	44
2	3943	44

Stop Event

1×	node limit

Counts

4 → 222

Calls

Call 1

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

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

simplify54.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

685×	`associate-/l*_binary64`
626×	`fma-def_binary64`
547×	`associate-/r*_binary64`
324×	`associate-*l/_binary64`
249×	`associate-*r/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	152	2146
1	474	2064
2	1644	2011

Stop Event

1×	node limit

Counts

318 → 299

Calls

Call 1

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

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

prune140.0ms (2.3%)

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	297	2	299
Fresh	1	9	10
Picked	0	1	1
Done	0	2	2
Total	298	14	312

Error

5.0b

Counts

312 → 14

Alt Table

Status	Error	Program
	45.3b	(fma.f64 1/2 (/.f64 c b_2) (*.f64 -2 (/.f64 b_2 a)))
	63.6b	(fma.f64 (/.f64 1 a) (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) (+.f64 (/.f64 b_2 a) (/.f64 b_2 a)))
	45.8b	(/.f64 (-.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2) (pow.f64 b_2 3)) (.f64 a (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)))))
✓	34.7b	(pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) -1)
	45.2b	(.f64 (.f64 b_2 -2) (/.f64 1 a))
	55.2b	(/.f64 (-.f64 b_2 b_2) a)
	40.0b	(/.f64 (*.f64 c -1/2) b_2)
✓	34.7b	(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2) (/.f64 1 a))
	45.4b	(/.f64 (-.f64 (-.f64 (/.f64 1/2 (/.f64 (/.f64 b_2 c) a)) b_2) b_2) a)
	45.2b	(/.f64 (-.f64 (neg.f64 b_2) b_2) a)
	57.2b	(-.f64 (/.f64 (fma.f64 -1/2 (*.f64 (/.f64 c b_2) a) b_2) a) (/.f64 b_2 a))
	40.0b	(*.f64 -1/2 (/.f64 c b_2))
✓	34.7b	(-.f64 (/.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) a) (/.f64 b_2 a))
	42.5b	(/.f64 (.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (.f64 a c))) (/.f64 1 a)) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))))

Compiler

Compiled 6804 to 2164 computations (68.2% saved)

regimes957.0ms (15.5%)

Accuracy

Total -53.7b remaining (-525.5%)

Threshold costs -53.7b (-525.5%)

Counts

82 → 3

Compiler

Compiled 1357 to 404 computations (70.2% saved)

bsearch65.0ms (1%)

Algorithm

2×	binary-search

Calls

2 calls:

49.0ms	b_2
14.0ms	b_2

Steps

Iters	Point		Range
3.6e-37	∈ [	3.5559014041377825e-37	,	4.858668474679019e-37	]
-3.3e+58	∈ [	-6.73983920666879e+64	,	-3.235904411621211e+58	]

Compiler

Compiled 366 to 233 computations (36.3% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

9×	`*-commutative_binary64`
6×	`+-commutative_binary64`
6×	`sub-neg_binary64`
5×	`neg-sub0_binary64`
5×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	54
1	37	54
2	50	54
3	60	54
4	66	54
5	68	54

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 b_2 -32999999999999998285173974406381376326728848818145809399808) (fma.f64 1/2 (/.f64 c b_2) (*.f64 -2 (/.f64 b_2 a))) (if (<=.f64 b_2 8620287417370625/23945242826029513411849172299223580994042798784118784) (-.f64 (/.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) a) (/.f64 b_2 a)) (/.f64 (*.f64 c -1/2) b_2)))

Outputs

(if (<=.f64 b_2 -32999999999999998285173974406381376326728848818145809399808) (fma.f64 1/2 (/.f64 c b_2) (*.f64 -2 (/.f64 b_2 a))) (if (<=.f64 b_2 8620287417370625/23945242826029513411849172299223580994042798784118784) (-.f64 (/.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) a) (/.f64 b_2 a)) (/.f64 (*.f64 c -1/2) b_2)))

(if (<=.f64 b_2 -32999999999999998285173974406381376326728848818145809399808) (fma.f64 1/2 (/.f64 c b_2) (*.f64 -2 (/.f64 b_2 a))) (if (<=.f64 b_2 8620287417370625/23945242826029513411849172299223580994042798784118784) (-.f64 (/.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 (neg.f64 c) a))) a) (/.f64 b_2 a)) (/.f64 (*.f64 c -1/2) b_2)))

(if (<=.f64 b_2 -32999999999999998285173974406381376326728848818145809399808) (fma.f64 1/2 (/.f64 c b_2) (*.f64 -2 (/.f64 b_2 a))) (if (<=.f64 b_2 8620287417370625/23945242826029513411849172299223580994042798784118784) (-.f64 (/.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c)))) a) (/.f64 b_2 a)) (/.f64 (*.f64 c -1/2) b_2)))

end146.0ms (2.4%)

Stop Event

1×

fuel

Compiler

Compiled 266 to 119 computations (55.3% saved)

Details

analyze892.0ms (14.5%)

sample2.2s (35.9%)

preprocess70.0ms (1.1%)

simplify63.0ms (1%)

prune3.0ms (0%)

localize8.0ms (0.1%)

series25.0ms (0.4%)

rewrite97.0ms (1.6%)

simplify70.0ms (1.1%)

prune372.0ms (6%)

localize9.0ms (0.1%)

series7.0ms (0.1%)

rewrite51.0ms (0.8%)

simplify26.0ms (0.4%)

prune318.0ms (5.2%)

localize9.0ms (0.1%)

series25.0ms (0.4%)

rewrite51.0ms (0.8%)

simplify54.0ms (0.9%)

prune330.0ms (5.4%)

localize9.0ms (0.2%)

series22.0ms (0.3%)

rewrite76.0ms (1.2%)

simplify54.0ms (0.9%)

prune140.0ms (2.3%)

regimes957.0ms (15.5%)

bsearch65.0ms (1%)

simplify8.0ms (0.1%)

end146.0ms (2.4%)

Profiling