Details

analyze956.0ms (15.6%)

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 (36.4%)

Results

811.0ms	5326×	body	128	valid
565.0ms	1176×	body	2048	valid
292.0ms	731×	body	1024	valid
266.0ms	459×	body	4096	valid
129.0ms	1081×	body	128	invalid
119.0ms	383×	body	512	valid
37.0ms	181×	body	256	valid

preprocess37.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

869×	`fma-neg_binary64`
440×	`times-frac_binary64`
394×	`fma-def_binary64`
350×	`cancel-sign-sub-inv_binary64`
345×	`div-sub_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	80
1	82	80
2	167	80
3	390	80
4	694	80
5	1249	80
6	3263	80
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 (neg.f64 b_2) (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2)))) a)
(/.f64 (-.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 b_2 c)))) b_2)
(neg.f64 (/.f64 (+.f64 a (sqrt.f64 (-.f64 (.f64 a a) (.f64 b_2 c)))) b_2))
(/.f64 (-.f64 (neg.f64 a) (sqrt.f64 (fma.f64 (neg.f64 b_2) c (*.f64 a a)))) b_2)
(/.f64 (+.f64 a (sqrt.f64 (fma.f64 (neg.f64 b_2) c (*.f64 a a)))) (neg.f64 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 (neg.f64 b_2) (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 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 (neg.f64 (+.f64 c (sqrt.f64 (-.f64 (.f64 c c) (.f64 b_2 a))))) a)
(/.f64 (-.f64 (neg.f64 c) (sqrt.f64 (fma.f64 b_2 (neg.f64 a) (*.f64 c c)))) a)
(/.f64 (+.f64 c (sqrt.f64 (-.f64 (.f64 c c) (.f64 b_2 a)))) (neg.f64 a))

Compiler

Compiled 16 to 10 computations (37.5% saved)

simplify61.0ms (1%)

Algorithm

1×	egg-herbie

Rules

518×	`div-sub_binary64`
428×	`fma-neg_binary64`
208×	`associate-/l*_binary64`
205×	`fma-def_binary64`
181×	`times-frac_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	20
1	27	20
2	57	20
3	126	20
4	216	20
5	392	20
6	662	20
7	1008	20
8	1214	20
9	1599	20
10	3126	20
11	3899	20
12	3997	20
13	4005	20
14	4013	20
15	4013	20
16	4071	20
17	4107	20
18	4137	20
19	4149	20

Stop Event

1×

saturated

Counts

1 → 1

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)

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

33.0b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	33.0b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Compiler

Compiled 48 to 30 computations (37.5% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
✓	0.8b	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	1.0b	(-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
✓	21.9b	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

series26.0ms (0.4%)

Counts

4 → 96

Calls

36 calls:

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

rewrite99.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

352×	`fma-neg_binary64`
218×	`expm1-udef_binary64`
218×	`log1p-udef_binary64`
139×	`add-sqr-sqrt_binary64`
134×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	59
1	262	55
2	4065	55

Stop Event

1×	node limit

Counts

4 → 192

Calls

Call 1

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

simplify58.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

771×	`times-frac_binary64`
528×	`fma-def_binary64`
510×	`associate-/l*_binary64`
451×	`associate-l_binary64`
393×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	129	2064
1	411	2002
2	1338	1973

Stop Event

1×	node limit

Counts

288 → 268

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

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

prune246.0ms (4%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	254	14	268
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	255	14	269

Error

5.2b

Counts

269 → 14

Alt Table

Status	Error	Program
	44.7b	(pow.f64 (/.f64 a (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) -1)
	44.3b	(/.f64 (fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 b_2 4))) (sqrt.f64 (cbrt.f64 (.f64 b_2 b_2))) (neg.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))))) a)
	54.4b	(.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))) (sqrt.f64 a)))
	56.9b	(/.f64 (-.f64 (neg.f64 b_2) (-.f64 (.f64 1/2 (.f64 (/.f64 c b_2) a)) b_2)) a)
	44.8b	(/.f64 (-.f64 (neg.f64 b_2) (fma.f64 1/2 (.f64 (/.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) b_2) (sqrt.f64 (*.f64 c (neg.f64 a))))) a)
	57.0b	(/.f64 (-.f64 (neg.f64 b_2) (neg.f64 b_2)) a)
	46.8b	(/.f64 (-.f64 (neg.f64 b_2) (fma.f64 -1/2 (*.f64 (/.f64 c b_2) a) b_2)) a)
	39.6b	(*.f64 -1/2 (/.f64 c b_2))
	42.3b	(/.f64 (-.f64 (neg.f64 b_2) (cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2))) a)
	46.7b	(*.f64 (/.f64 -2 a) b_2)
▶	33.1b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (+.f64 (fma.f64 (neg.f64 c) a (.f64 a c)) (fma.f64 (neg.f64 c) a (.f64 a c)))))) a)
	45.3b	(/.f64 (/.f64 (+.f64 (fma.f64 b_2 b_2 (.f64 b_2 b_2)) (.f64 a c)) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) a)
	33.1b	(.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))) (/.f64 1 (neg.f64 a)))
	46.6b	(/.f64 (-.f64 (neg.f64 b_2) b_2) a)

Compiler

Compiled 6324 to 2169 computations (65.7% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.8b	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	1.0b	(-.f64 (neg.f64 b_2) (sqrt.f64 (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (+.f64 (fma.f64 (neg.f64 c) a (.f64 a c)) (fma.f64 (neg.f64 c) a (.f64 a c))))))
✓	21.9b	(sqrt.f64 (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (+.f64 (fma.f64 (neg.f64 c) a (.f64 a c)) (fma.f64 (neg.f64 c) a (.f64 a c)))))
✓	53.9b	(fma.f64 (neg.f64 c) a (*.f64 a c))

series34.0ms (0.6%)

Counts

3 → 64

Calls

24 calls:

Time	Variable		Point	Expression
11.0ms	a	@	0	(-.f64 (neg.f64 b_2) (sqrt.f64 (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (+.f64 (fma.f64 (neg.f64 c) a (.f64 a c)) (fma.f64 (neg.f64 c) a (.f64 a c))))))
3.0ms	c	@	0	(-.f64 (neg.f64 b_2) (sqrt.f64 (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (+.f64 (fma.f64 (neg.f64 c) a (.f64 a c)) (fma.f64 (neg.f64 c) a (.f64 a c))))))
2.0ms	a	@	inf	(sqrt.f64 (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (+.f64 (fma.f64 (neg.f64 c) a (.f64 a c)) (fma.f64 (neg.f64 c) a (.f64 a c)))))
1.0ms	a	@	-inf	(sqrt.f64 (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (+.f64 (fma.f64 (neg.f64 c) a (.f64 a c)) (fma.f64 (neg.f64 c) a (.f64 a c)))))
1.0ms	c	@	-inf	(sqrt.f64 (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (+.f64 (fma.f64 (neg.f64 c) a (.f64 a c)) (fma.f64 (neg.f64 c) a (.f64 a c)))))

rewrite33.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

168×	`add-sqr-sqrt_binary64`
163×	`*-un-lft-identity_binary64`
163×	`pow1_binary64`
156×	`add-exp-log_binary64`
156×	`add-log-exp_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	39
1	340	30

Stop Event

1×	node limit

Counts

3 → 91

Calls

Call 1

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

Inputs

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

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

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

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

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

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

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

simplify45.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

695×	`times-frac_binary64`
615×	`fma-def_binary64`
499×	`associate-/l*_binary64`
184×	`distribute-rgt-in_binary64`
154×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	161	2027
1	538	1172
2	1987	1158

Stop Event

1×	node limit

Counts

155 → 155

Calls

Call 1

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

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

prune207.0ms (3.4%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	256	0	256
Fresh	0	13	13
Picked	0	1	1
Done	0	0	0
Total	256	14	270

Error

5.2b

Counts

270 → 14

Alt Table

Status	Error	Program
	44.7b	(pow.f64 (/.f64 a (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) -1)
	44.3b	(/.f64 (fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 b_2 4))) (sqrt.f64 (cbrt.f64 (.f64 b_2 b_2))) (neg.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))))) a)
	54.4b	(.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))) (sqrt.f64 a)))
	56.9b	(/.f64 (-.f64 (neg.f64 b_2) (-.f64 (.f64 1/2 (.f64 (/.f64 c b_2) a)) b_2)) a)
	44.8b	(/.f64 (-.f64 (neg.f64 b_2) (fma.f64 1/2 (.f64 (/.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) b_2) (sqrt.f64 (*.f64 c (neg.f64 a))))) a)
	57.0b	(/.f64 (-.f64 (neg.f64 b_2) (neg.f64 b_2)) a)
	46.8b	(/.f64 (-.f64 (neg.f64 b_2) (fma.f64 -1/2 (*.f64 (/.f64 c b_2) a) b_2)) a)
	39.6b	(*.f64 -1/2 (/.f64 c b_2))
	42.3b	(/.f64 (-.f64 (neg.f64 b_2) (cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2))) a)
	46.7b	(*.f64 (/.f64 -2 a) b_2)
✓	33.1b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (+.f64 (fma.f64 (neg.f64 c) a (.f64 a c)) (fma.f64 (neg.f64 c) a (.f64 a c)))))) a)
	45.3b	(/.f64 (/.f64 (+.f64 (fma.f64 b_2 b_2 (.f64 b_2 b_2)) (.f64 a c)) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) a)
▶	33.1b	(.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))) (/.f64 1 (neg.f64 a)))
	46.6b	(/.f64 (-.f64 (neg.f64 b_2) b_2) a)

Compiler

Compiled 8576 to 2896 computations (66.2% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))) (/.f64 1 (neg.f64 a)))
	0.8b	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	1.0b	(+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
	21.9b	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

series10.0ms (0.2%)

Counts

2 → 40

Calls

18 calls:

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

rewrite55.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

328×	`fma-neg_binary64`
222×	`expm1-udef_binary64`
222×	`log1p-udef_binary64`
148×	`add-sqr-sqrt_binary64`
143×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	35
1	292	29
2	4268	29

Stop Event

1×	node limit

Counts

2 → 82

Calls

Call 1

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

Outputs

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

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

simplify42.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

700×	`times-frac_binary64`
478×	`associate-r_binary64`
467×	`associate-/l*_binary64`
440×	`associate-l_binary64`
382×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	107	1172
1	339	1159
2	1133	1132

Stop Event

1×	node limit

Counts

122 → 129

Calls

Call 1

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

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

prune160.0ms (2.6%)

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	248	3	251
Fresh	0	12	12
Picked	0	1	1
Done	0	1	1
Total	248	17	265

Error

5.2b

Counts

265 → 17

Alt Table

Status	Error	Program
	44.7b	(pow.f64 (/.f64 a (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) -1)
	44.3b	(/.f64 (fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 b_2 4))) (sqrt.f64 (cbrt.f64 (.f64 b_2 b_2))) (neg.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))))) a)
	54.4b	(.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))) (sqrt.f64 a)))
	56.9b	(/.f64 (-.f64 (neg.f64 b_2) (-.f64 (.f64 1/2 (.f64 (/.f64 c b_2) a)) b_2)) a)
	44.8b	(/.f64 (-.f64 (neg.f64 b_2) (fma.f64 1/2 (.f64 (/.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) b_2) (sqrt.f64 (*.f64 c (neg.f64 a))))) a)
	57.0b	(/.f64 (-.f64 (neg.f64 b_2) (neg.f64 b_2)) a)
	46.8b	(/.f64 (-.f64 (neg.f64 b_2) (fma.f64 -1/2 (*.f64 (/.f64 c b_2) a) b_2)) a)
▶	33.6b	(.f64 (+.f64 b_2 (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)) 1/4) 2)) (/.f64 1 (neg.f64 a)))
	39.6b	(*.f64 -1/2 (/.f64 c b_2))
	42.3b	(/.f64 (-.f64 (neg.f64 b_2) (cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2))) a)
	46.7b	(*.f64 (/.f64 -2 a) b_2)
	49.7b	(.f64 (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) (.f64 (.f64 (/.f64 1/8 (pow.f64 b_2 3)) (.f64 c (*.f64 c a))) a)) (/.f64 1 (neg.f64 a)))
	47.0b	(.f64 (fma.f64 b_2 2 (.f64 -1/2 (/.f64 c (/.f64 b_2 a)))) (/.f64 1 (neg.f64 a)))
✓	33.1b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (+.f64 (fma.f64 (neg.f64 c) a (.f64 a c)) (fma.f64 (neg.f64 c) a (.f64 a c)))))) a)
	45.3b	(/.f64 (/.f64 (+.f64 (fma.f64 b_2 b_2 (.f64 b_2 b_2)) (.f64 a c)) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) a)
✓	33.1b	(.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))) (/.f64 1 (neg.f64 a)))
	46.6b	(/.f64 (-.f64 (neg.f64 b_2) b_2) a)

Compiler

Compiled 6429 to 2584 computations (59.8% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 2)
	0.8b	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	10.5b	(+.f64 b_2 (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 2))
✓	22.3b	(pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4)

series70.0ms (1.1%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
35.0ms	c	@	-inf	(+.f64 b_2 (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 2))
3.0ms	c	@	0	(pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4)
2.0ms	a	@	-inf	(+.f64 b_2 (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 2))
2.0ms	b_2	@	0	(pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4)
2.0ms	a	@	inf	(+.f64 b_2 (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 2))

rewrite58.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

576×	`fma-def_binary64`
292×	`fma-neg_binary64`
226×	`expm1-udef_binary64`
226×	`log1p-udef_binary64`
138×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	42
1	282	40
2	3668	40

Stop Event

1×	node limit

Counts

3 → 91

Calls

Call 1

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

Outputs

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

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

simplify109.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

647×	`fma-def_binary64`
358×	`times-frac_binary64`
300×	`associate-/r*_binary64`
296×	`associate-/l*_binary64`
198×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	526	7695
1	1928	6664

Stop Event

1×	node limit

Counts

199 → 275

Calls

Call 1

Inputs
(pow.f64 (.f64 -1 (.f64 c a)) 1/4)
(+.f64 (.f64 -1/4 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b_2 2))) (pow.f64 (.f64 -1 (*.f64 c a)) 1/4))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b_2 2))) (+.f64 (.f64 -3/32 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b_2 4))) (pow.f64 (.f64 -1 (.f64 c a)) 1/4)))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b_2 2))) (+.f64 (.f64 -7/128 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 11) (pow.f64 a 11))) 1/4) (pow.f64 b_2 6))) (+.f64 (.f64 -3/32 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b_2 4))) (pow.f64 (.f64 -1 (*.f64 c a)) 1/4))))
(sqrt.f64 b_2)
(+.f64 (.f64 -1/4 (.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (sqrt.f64 b_2))
(+.f64 (.f64 -1/4 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (+.f64 (sqrt.f64 b_2) (.f64 (+.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 1/32 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (sqrt.f64 (/.f64 1 (pow.f64 b_2 7))))))
(+.f64 (.f64 -1/4 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (+.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 b_2 11))) (+.f64 (.f64 -1/384 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (.f64 1/32 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (.f64 -1/12 (.f64 (pow.f64 c 3) (pow.f64 a 3)))))) (+.f64 (sqrt.f64 b_2) (.f64 (+.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 1/32 (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (sqrt.f64 (/.f64 1 (pow.f64 b_2 7)))))))
(sqrt.f64 (*.f64 -1 b_2))
(+.f64 (sqrt.f64 (.f64 -1 b_2)) (.f64 -1/4 (/.f64 (.f64 c (.f64 a (sqrt.f64 (*.f64 -1 b_2)))) (pow.f64 b_2 2))))
(+.f64 (sqrt.f64 (.f64 -1 b_2)) (+.f64 (.f64 -1/4 (/.f64 (.f64 c (.f64 a (sqrt.f64 (.f64 -1 b_2)))) (pow.f64 b_2 2))) (/.f64 (.f64 (+.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 1/32 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (sqrt.f64 (*.f64 -1 b_2))) (pow.f64 b_2 4))))
(+.f64 (sqrt.f64 (.f64 -1 b_2)) (+.f64 (/.f64 (.f64 (sqrt.f64 (.f64 -1 b_2)) (+.f64 (.f64 -1/384 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (.f64 1/32 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (.f64 -1/12 (.f64 (pow.f64 c 3) (pow.f64 a 3)))))) (pow.f64 b_2 6)) (+.f64 (.f64 -1/4 (/.f64 (.f64 c (.f64 a (sqrt.f64 (.f64 -1 b_2)))) (pow.f64 b_2 2))) (/.f64 (.f64 (+.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 1/32 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (sqrt.f64 (*.f64 -1 b_2))) (pow.f64 b_2 4)))))
(sqrt.f64 b_2)
(+.f64 (.f64 -1/4 (.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (sqrt.f64 b_2))
(+.f64 (.f64 -1/4 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (+.f64 (.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 4))) (*.f64 1/32 (/.f64 (pow.f64 c 2) (pow.f64 b_2 4))))) (sqrt.f64 b_2)) (sqrt.f64 b_2)))
(+.f64 (.f64 -1/4 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (+.f64 (.f64 (.f64 (pow.f64 a 3) (+.f64 (.f64 -1/12 (/.f64 (pow.f64 c 3) (pow.f64 b_2 6))) (+.f64 (.f64 1/32 (/.f64 (pow.f64 c 3) (pow.f64 b_2 6))) (.f64 -1/384 (/.f64 (pow.f64 c 3) (pow.f64 b_2 6)))))) (sqrt.f64 b_2)) (+.f64 (.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 4))) (.f64 1/32 (/.f64 (pow.f64 c 2) (pow.f64 b_2 4))))) (sqrt.f64 b_2)) (sqrt.f64 b_2))))
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c)))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 b_2 2) (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c)))))) (.f64 c a))) (exp.f64 (.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))))
(+.f64 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) (+.f64 (.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2))) (.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2))))) (pow.f64 a 2)) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 b_2 2) (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c)))))) (.f64 c a))) (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c)))))))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 -1/384 (/.f64 (pow.f64 b_2 6) (pow.f64 c 3))) (+.f64 (.f64 -1/12 (/.f64 (pow.f64 b_2 6) (pow.f64 c 3))) (.f64 1/32 (/.f64 (pow.f64 b_2 6) (pow.f64 c 3))))) (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c)))))) (pow.f64 a 3)) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) (+.f64 (.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2))) (.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2))))) (pow.f64 a 2)) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 b_2 2) (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c)))))) (.f64 c a))) (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (*.f64 -1 (log.f64 (/.f64 -1 a))))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (.f64 -1 (log.f64 (/.f64 -1 a)))))) (pow.f64 b_2 2)) (.f64 c a))) (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (*.f64 -1 (log.f64 (/.f64 -1 a)))))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (.f64 -1 (log.f64 (/.f64 -1 a)))))) (pow.f64 b_2 2)) (.f64 c a))) (+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (.f64 -1 (log.f64 (/.f64 -1 a)))))) (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (.f64 -1 (log.f64 (/.f64 -1 a)))))) (+.f64 (.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2))) (*.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2))))) (pow.f64 a 2))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (.f64 -1 (log.f64 (/.f64 -1 a)))))) (pow.f64 b_2 2)) (.f64 c a))) (+.f64 (.f64 -1 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (.f64 -1 (log.f64 (/.f64 -1 a)))))) (+.f64 (.f64 1/384 (/.f64 (pow.f64 b_2 6) (pow.f64 c 3))) (+.f64 (.f64 1/12 (/.f64 (pow.f64 b_2 6) (pow.f64 c 3))) (.f64 -1/32 (/.f64 (pow.f64 b_2 6) (pow.f64 c 3)))))) (pow.f64 a 3))) (+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (.f64 -1 (log.f64 (/.f64 -1 a)))))) (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (.f64 -1 (log.f64 (/.f64 -1 a)))))) (+.f64 (.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2))) (*.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2))))) (pow.f64 a 2)))))
(sqrt.f64 b_2)
(+.f64 (.f64 -1/4 (.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (sqrt.f64 b_2))
(+.f64 (.f64 -1/4 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (+.f64 (.f64 (.f64 (pow.f64 c 2) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 b_2 4))) (*.f64 1/32 (/.f64 (pow.f64 a 2) (pow.f64 b_2 4))))) (sqrt.f64 b_2)) (sqrt.f64 b_2)))
(+.f64 (.f64 (.f64 (pow.f64 c 3) (+.f64 (.f64 -1/384 (/.f64 (pow.f64 a 3) (pow.f64 b_2 6))) (+.f64 (.f64 -1/12 (/.f64 (pow.f64 a 3) (pow.f64 b_2 6))) (.f64 1/32 (/.f64 (pow.f64 a 3) (pow.f64 b_2 6)))))) (sqrt.f64 b_2)) (+.f64 (.f64 -1/4 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (+.f64 (.f64 (.f64 (pow.f64 c 2) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 b_2 4))) (.f64 1/32 (/.f64 (pow.f64 a 2) (pow.f64 b_2 4))))) (sqrt.f64 b_2)) (sqrt.f64 b_2))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c))))))
(+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) (.f64 -1/4 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) (pow.f64 b_2 2)) (*.f64 c a))))
(+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) (+.f64 (.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))) (.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))))) (pow.f64 c 2)) (.f64 -1/4 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) (pow.f64 b_2 2)) (.f64 c a)))))
(+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) (+.f64 (.f64 1/32 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3))) (+.f64 (.f64 -1/12 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3))) (.f64 -1/384 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3)))))) (pow.f64 c 3)) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) (+.f64 (.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))) (.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))))) (pow.f64 c 2)) (.f64 -1/4 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) (pow.f64 b_2 2)) (.f64 c a))))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c))))))
(+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) (.f64 -1/4 (/.f64 (.f64 (pow.f64 b_2 2) (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c))))))) (*.f64 c a))))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))) (.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2)))) (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c))))))) (pow.f64 c 2)) (+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) (.f64 -1/4 (/.f64 (.f64 (pow.f64 b_2 2) (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c))))))) (*.f64 c a)))))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))) (.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2)))) (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c))))))) (pow.f64 c 2)) (+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 b_2 2) (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c))))))) (.f64 c a))) (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 -1/32 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3))) (+.f64 (.f64 1/12 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3))) (.f64 1/384 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3))))) (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c))))))) (pow.f64 c 3))))))
(sqrt.f64 (.f64 -1 (.f64 c a)))
(+.f64 (sqrt.f64 (.f64 -1 (.f64 c a))) b_2)
(+.f64 (sqrt.f64 (.f64 -1 (.f64 c a))) (+.f64 b_2 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 -1 (*.f64 c a))) (pow.f64 b_2 2)))))
(+.f64 (sqrt.f64 (.f64 -1 (.f64 c a))) (+.f64 (.f64 (+.f64 (.f64 1/16 (sqrt.f64 (/.f64 -1 (.f64 (pow.f64 c 3) (pow.f64 a 3))))) (.f64 -3/16 (sqrt.f64 (/.f64 -1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))))) (pow.f64 b_2 4)) (+.f64 b_2 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 -1 (.f64 c a))) (pow.f64 b_2 2))))))
b_2
(*.f64 2 b_2)
(+.f64 (.f64 2 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 (.f64 -1/4 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 (.f64 2 b_2) (.f64 -1/2 (/.f64 (*.f64 c a) b_2)))))
b_2
(+.f64 (*.f64 -1 b_2) b_2)
(+.f64 (.f64 -1 b_2) (+.f64 (.f64 1/2 (/.f64 (*.f64 c a) b_2)) 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 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (+.f64 b_2 (.f64 1/4 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)))))))
(*.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 (pow.f64 a 2) (+.f64 (.f64 2 (.f64 b_2 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 4))) (.f64 1/32 (/.f64 (pow.f64 c 2) (pow.f64 b_2 4)))))) (.f64 1/16 (/.f64 (pow.f64 c 2) (pow.f64 b_2 3))))) (.f64 -1/2 (/.f64 (*.f64 c a) b_2))))
(+.f64 (.f64 (pow.f64 a 3) (+.f64 (.f64 2 (.f64 b_2 (+.f64 (.f64 -1/12 (/.f64 (pow.f64 c 3) (pow.f64 b_2 6))) (+.f64 (.f64 1/32 (/.f64 (pow.f64 c 3) (pow.f64 b_2 6))) (.f64 -1/384 (/.f64 (pow.f64 c 3) (pow.f64 b_2 6))))))) (.f64 -1/2 (/.f64 (.f64 c (+.f64 (.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 4))) (.f64 1/32 (/.f64 (pow.f64 c 2) (pow.f64 b_2 4))))) b_2)))) (+.f64 (.f64 2 b_2) (+.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 2 (.f64 b_2 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 4))) (.f64 1/32 (/.f64 (pow.f64 c 2) (pow.f64 b_2 4)))))) (.f64 1/16 (/.f64 (pow.f64 c 2) (pow.f64 b_2 3))))) (.f64 -1/2 (/.f64 (*.f64 c a) b_2)))))
(+.f64 b_2 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) 2))
(+.f64 b_2 (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b_2 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) 2)) (.f64 c a))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) 2)))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 b_2 4) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) 2)) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) 2) (+.f64 (.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2))) (.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2))))) (pow.f64 a 2))) (+.f64 b_2 (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b_2 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) 2)) (.f64 c a))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) 2)))))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 b_2 4) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) 2)) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) 2) (+.f64 (.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2))) (.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2))))) (pow.f64 a 2))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b_2 2) (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) 2) (+.f64 (.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2))) (.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2)))))) (.f64 c (pow.f64 a 3)))) (+.f64 b_2 (+.f64 (.f64 2 (/.f64 (.f64 (+.f64 (.f64 -1/384 (/.f64 (pow.f64 b_2 6) (pow.f64 c 3))) (+.f64 (.f64 -1/12 (/.f64 (pow.f64 b_2 6) (pow.f64 c 3))) (.f64 1/32 (/.f64 (pow.f64 b_2 6) (pow.f64 c 3))))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) 2)) (pow.f64 a 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b_2 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) 2)) (.f64 c a))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) 2)))))))
(+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) b_2)
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (pow.f64 b_2 2)) (.f64 c a))) (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) b_2))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (pow.f64 b_2 2)) (.f64 c a))) (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (+.f64 (.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2))) (.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2))))) (pow.f64 a 2))) (+.f64 b_2 (.f64 1/16 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (pow.f64 b_2 4)) (.f64 (pow.f64 c 2) (pow.f64 a 2))))))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (pow.f64 b_2 2)) (.f64 c a))) (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (+.f64 (.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2))) (.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2))))) (pow.f64 a 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (+.f64 (.f64 1/384 (/.f64 (pow.f64 b_2 6) (pow.f64 c 3))) (+.f64 (.f64 1/12 (/.f64 (pow.f64 b_2 6) (pow.f64 c 3))) (.f64 -1/32 (/.f64 (pow.f64 b_2 6) (pow.f64 c 3))))))) (.f64 1/2 (/.f64 (.f64 (pow.f64 b_2 2) (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (+.f64 (.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2))) (.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2)))))) c))) (pow.f64 a 3))) (+.f64 b_2 (.f64 1/16 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (pow.f64 b_2 4)) (*.f64 (pow.f64 c 2) (pow.f64 a 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 (pow.f64 c 2) (+.f64 (.f64 2 (.f64 b_2 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 b_2 4))) (.f64 1/32 (/.f64 (pow.f64 a 2) (pow.f64 b_2 4)))))) (.f64 1/16 (/.f64 (pow.f64 a 2) (pow.f64 b_2 3))))) (.f64 -1/2 (/.f64 (*.f64 c a) b_2))))
(+.f64 (.f64 2 b_2) (+.f64 (.f64 (pow.f64 c 3) (+.f64 (.f64 -1/2 (/.f64 (.f64 a (+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 b_2 4))) (.f64 1/32 (/.f64 (pow.f64 a 2) (pow.f64 b_2 4))))) b_2)) (.f64 2 (.f64 (+.f64 (.f64 -1/384 (/.f64 (pow.f64 a 3) (pow.f64 b_2 6))) (+.f64 (.f64 -1/12 (/.f64 (pow.f64 a 3) (pow.f64 b_2 6))) (.f64 1/32 (/.f64 (pow.f64 a 3) (pow.f64 b_2 6))))) b_2)))) (+.f64 (.f64 (pow.f64 c 2) (+.f64 (.f64 2 (.f64 b_2 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 b_2 4))) (.f64 1/32 (/.f64 (pow.f64 a 2) (pow.f64 b_2 4)))))) (.f64 1/16 (/.f64 (pow.f64 a 2) (pow.f64 b_2 3))))) (.f64 -1/2 (/.f64 (*.f64 c a) b_2)))))
(+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2) b_2)
(+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b_2 2)) (*.f64 c a)))))
(+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (+.f64 (.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))) (.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))))) (pow.f64 c 2))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b_2 4)) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b_2 2)) (.f64 c a)))))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (.f64 (+.f64 (.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))) (.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2)))) (pow.f64 b_2 2))) (.f64 (pow.f64 c 3) a))) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (+.f64 (.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))) (.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))))) (pow.f64 c 2))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b_2 4)) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (+.f64 b_2 (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (+.f64 (.f64 1/32 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3))) (+.f64 (.f64 -1/12 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3))) (.f64 -1/384 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3)))))) (pow.f64 c 3))) (.f64 -1/2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b_2 2)) (*.f64 c a)))))))))
(+.f64 b_2 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2))
(+.f64 b_2 (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b_2 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (.f64 c a))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)))
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(sqrt.f64 (.f64 -1 (.f64 c a)))
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b_2
(+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
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(*.f64 -1 b_2)
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b_2
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(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)
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b_2
(+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
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(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2)
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(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b_2 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (.f64 c a))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 b_2 4) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (.f64 2 (/.f64 (.f64 (+.f64 (.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))) (.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (pow.f64 c 2))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b_2 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (.f64 c a))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (+.f64 (.f64 -1/32 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3))) (+.f64 (.f64 1/12 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3))) (.f64 1/384 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3))))))) (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))) (.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2)))) (.f64 (pow.f64 b_2 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2))) a))) (pow.f64 c 3))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 b_2 4) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (.f64 2 (/.f64 (.f64 (+.f64 (.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))) (.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (pow.f64 c 2))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b_2 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (.f64 c a))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)))))

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

prune399.0ms (6.5%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	344	5	349
Fresh	8	6	14
Picked	1	0	1
Done	0	2	2
Total	353	13	366

Error

1.0b

Counts

366 → 13

Alt Table

Status	Error	Program
	42.4b	(.f64 (-.f64 (/.f64 (.f64 b_2 b_2) (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) (/.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))) (/.f64 1 (neg.f64 a)))
✓	33.1b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (+.f64 (fma.f64 (neg.f64 c) a (.f64 a c)) (fma.f64 (neg.f64 c) a (.f64 a c)))))) a)
	54.4b	(.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))) (sqrt.f64 a)))
	56.9b	(/.f64 (-.f64 (neg.f64 b_2) (-.f64 (.f64 1/2 (.f64 (/.f64 c b_2) a)) b_2)) a)
	46.8b	(/.f64 (-.f64 (neg.f64 b_2) (fma.f64 -1/2 (*.f64 (/.f64 c b_2) a) b_2)) a)
	51.5b	(.f64 (+.f64 b_2 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (/.f64 1 (neg.f64 a)))
	39.6b	(*.f64 -1/2 (/.f64 c b_2))
	42.3b	(.f64 (/.f64 1 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (-.f64 (.f64 b_2 b_2) (-.f64 (.f64 b_2 b_2) (.f64 a c))))) (/.f64 1 (neg.f64 a)))
	53.3b	(.f64 (+.f64 b_2 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) 2)) (/.f64 1 (neg.f64 a)))
	49.7b	(.f64 (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) (.f64 (.f64 (/.f64 1/8 (pow.f64 b_2 3)) (.f64 c (*.f64 c a))) a)) (/.f64 1 (neg.f64 a)))
	44.7b	(pow.f64 (/.f64 a (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) -1)
	51.8b	(*.f64 (+.f64 b_2 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 a)) (log.f64 c))) 2)) (/.f64 1 (neg.f64 a)))
✓	33.1b	(.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))) (/.f64 1 (neg.f64 a)))

Compiler

Compiled 16260 to 9756 computations (40% saved)

regimes868.0ms (14.2%)

Accuracy

Total -53.7b remaining (-519.3%)

Threshold costs -53.7b (-519.3%)

Counts

77 → 3

Compiler

Compiled 1401 to 507 computations (63.8% saved)

bsearch116.0ms (1.9%)

Algorithm

2×	binary-search

Calls

2 calls:

75.0ms	b_2
40.0ms	b_2

Steps

Iters	Point		Range
6.8e+109	∈ [	6.733664694738624e+109	,	4.372765215628836e+114	]
-2.7e-23	∈ [	-3.957408667566076e-20	,	-2.6526522592450415e-23	]

Compiler

Compiled 605 to 374 computations (38.2% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

12×	`+-commutative_binary64`
10×	`*-commutative_binary64`
9×	`sub-neg_binary64`
7×	`neg-sub0_binary64`
7×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	65
1	49	65
2	67	65
3	82	65
4	89	65
5	92	65
6	93	65

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 b_2 -9187623906865338/340282366920938463463374607431768211456) (*.f64 -1/2 (/.f64 c b_2)) (if (<=.f64 b_2 68000000000000001268969016600935196286746088474875448786161471052016158151473746594463204435061480756749533184) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (+.f64 (fma.f64 (neg.f64 c) a (*.f64 a c)) 0)))) a) (fma.f64 1/2 (/.f64 c b_2) (*.f64 (/.f64 b_2 a) -2))))

Outputs

(if (<=.f64 b_2 -9187623906865338/340282366920938463463374607431768211456) (*.f64 -1/2 (/.f64 c b_2)) (if (<=.f64 b_2 68000000000000001268969016600935196286746088474875448786161471052016158151473746594463204435061480756749533184) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (+.f64 (fma.f64 (neg.f64 c) a (*.f64 a c)) 0)))) a) (fma.f64 1/2 (/.f64 c b_2) (*.f64 (/.f64 b_2 a) -2))))

(if (<=.f64 b_2 -4593811953432669/170141183460469231731687303715884105728) (*.f64 -1/2 (/.f64 c b_2)) (if (<=.f64 b_2 68000000000000001268969016600935196286746088474875448786161471052016158151473746594463204435061480756749533184) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a)) (fma.f64 (neg.f64 c) a (*.f64 c a))))) a) (fma.f64 1/2 (/.f64 c b_2) (*.f64 (/.f64 b_2 a) -2))))

end152.0ms (2.5%)

Stop Event

1×

fuel

Compiler

Compiled 358 to 162 computations (54.7% saved)

Details

analyze956.0ms (15.6%)

sample2.2s (36.4%)

preprocess37.0ms (0.6%)

simplify61.0ms (1%)

prune2.0ms (0%)

localize8.0ms (0.1%)

series26.0ms (0.4%)

rewrite99.0ms (1.6%)

simplify58.0ms (0.9%)

prune246.0ms (4%)

localize15.0ms (0.2%)

series34.0ms (0.6%)

rewrite33.0ms (0.5%)

simplify45.0ms (0.7%)

prune207.0ms (3.4%)

localize10.0ms (0.2%)

series10.0ms (0.2%)

rewrite55.0ms (0.9%)

simplify42.0ms (0.7%)

prune160.0ms (2.6%)

localize13.0ms (0.2%)

series70.0ms (1.1%)

rewrite58.0ms (0.9%)

simplify109.0ms (1.8%)

prune399.0ms (6.5%)

regimes868.0ms (14.2%)

bsearch116.0ms (1.9%)

simplify4.0ms (0.1%)

end152.0ms (2.5%)

Profiling