Details

analyze780.0ms (12.4%)

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
12.5%	87.4%	0.1%	5
18.7%	81.1%	0.1%	6
18.7%	76.5%	4.8%	7
28.1%	66.3%	5.6%	8
35.1%	55%	9.9%	9
36.3%	50.9%	12.8%	10
42.1%	42.4%	15.5%	11
47.5%	33.8%	18.7%	12
48.8%	30.7%	20.6%	13
51.8%	25.6%	22.5%	14

Compiler

Compiled 17 to 11 computations (35.3% saved)

sample2.0s (31.1%)

Results

637.0ms	5402×	body	128	valid
518.0ms	1115×	body	2048	valid
268.0ms	721×	body	1024	valid
250.0ms	439×	body	4096	valid
115.0ms	999×	body	128	invalid
107.0ms	379×	body	512	valid
40.0ms	200×	body	256	valid

Compiler

Compiled 34 to 22 computations (35.3% saved)

preprocess39.0ms (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)

simplify60.0ms (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

30.3b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	30.3b	(/.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)
✓	0.2b	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	1.3b	(-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
✓	19.5b	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

series184.0ms (2.9%)

Counts

4 → 96

Calls

36 calls:

Time	Variable		Point	Expression
58.0ms	c	@	inf	(-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
27.0ms	a	@	-inf	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
9.0ms	a	@	inf	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
7.0ms	c	@	-inf	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
7.0ms	a	@	-inf	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

rewrite77.0ms (1.2%)

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

simplify46.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

740×	`times-frac_binary64`
496×	`associate-/l*_binary64`
402×	`associate-/r*_binary64`
369×	`fma-def_binary64`
143×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	124	2047
1	409	2003
2	1439	1977

Stop Event

1×	node limit

Counts

288 → 269

Calls

Call 1

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

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

prune167.0ms (2.7%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	257	12	269
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	257	13	270

Error

4.8b

Counts

270 → 13

Alt Table

Status	Error	Program
	31.9b	(/.f64 (-.f64 (neg.f64 b_2) (.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))))) a)
✓	30.3b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	43.6b	(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) 2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))) a)))
	43.8b	(/.f64 (.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)))))) a)
	56.5b	(cbrt.f64 (/.f64 (pow.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) 3) (pow.f64 a 3)))
	42.2b	(*.f64 -1/2 (/.f64 c b_2))
▶	31.7b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 3))) a)
	44.8b	(-.f64 (.f64 1/2 (/.f64 c b_2)) (.f64 2 (/.f64 b_2 a)))
	44.6b	(*.f64 (/.f64 -2 a) b_2)
	47.1b	(/.f64 (cbrt.f64 (pow.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) 3)) a)
	45.5b	(/.f64 (*.f64 (/.f64 a (/.f64 b_2 c)) -1/2) a)
	34.4b	(/.f64 (-.f64 (neg.f64 b_2) (exp.f64 (log.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))) a)
	53.6b	(pow.f64 (sqrt.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)) 2)

Compiler

Compiled 6240 to 2112 computations (66.2% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(pow.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 3)
✓	7.8b	(-.f64 (neg.f64 b_2) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 3)))
✓	19.5b	(sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 3))
✓	20.4b	(cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

series924.0ms (14.7%)

Counts

4 → 64

Calls

36 calls:

Time	Variable		Point	Expression
451.0ms	b_2	@	0	(pow.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 3)
164.0ms	c	@	0	(pow.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 3)
159.0ms	a	@	0	(pow.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 3)
37.0ms	b_2	@	0	(cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
13.0ms	a	@	inf	(-.f64 (neg.f64 b_2) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 3)))

rewrite134.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

755×	`fma-def_binary64`
340×	`fma-neg_binary64`
218×	`expm1-udef_binary64`
218×	`log1p-udef_binary64`
193×	`egg-rr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	51
1	300	49
2	3884	49

Stop Event

1×	node limit

Counts

4 → 341

Calls

Call 1

Inputs
(cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
(sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 3))
(-.f64 (neg.f64 b_2) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 3)))
(pow.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 3)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (pow.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 2))) (cbrt.f64 (cbrt.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)) 1/6) (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 2)) 1/3) (cbrt.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 (pow.f64 b_2 4) (pow.f64 (.f64 a c) 2))) (cbrt.f64 (fma.f64 b_2 b_2 (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 (pow.f64 b_2 6) (pow.f64 (.f64 a c) 3))) (cbrt.f64 (fma.f64 (.f64 a c) (fma.f64 b_2 b_2 (.f64 a c)) (pow.f64 b_2 4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.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)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.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))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))))))))
((#(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 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/6))))) (#(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 (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 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/6) (cbrt.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)) 1/6) (pow.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 2)) 1/2) (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/6))))) (#(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 1 3/2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 2))) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/6) 3/2) (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/6) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 4) (pow.f64 (.f64 a c) 2))) (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 6) (pow.f64 (.f64 a c) 3))) (sqrt.f64 (fma.f64 (.f64 a c) (fma.f64 b_2 b_2 (.f64 a c)) (pow.f64 b_2 4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 3/2)))) (#(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 (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)) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))))))))
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simplify56.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

502×	`times-frac_binary64`
437×	`fma-def_binary64`
362×	`associate-/l*_binary64`
357×	`associate-/r*_binary64`
209×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	147	2031
1	474	2005
2	1594	1981

Stop Event

1×	node limit

Counts

405 → 412

Calls

Call 1

Inputs
(.f64 (pow.f64 (.f64 c a) 1/3) (cbrt.f64 -1))
(+.f64 (.f64 (pow.f64 (.f64 c a) 1/3) (cbrt.f64 -1)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) 1/3) (/.f64 (pow.f64 b_2 2) (pow.f64 (cbrt.f64 -1) 2)))))
(-.f64 (+.f64 (.f64 (pow.f64 (.f64 c a) 1/3) (cbrt.f64 -1)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 1/3) (/.f64 (pow.f64 b_2 2) (pow.f64 (cbrt.f64 -1) 2))))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5))) 1/3) (/.f64 (pow.f64 b_2 4) (pow.f64 (cbrt.f64 -1) 5)))))
(-.f64 (+.f64 (.f64 5/81 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 c 8) (pow.f64 a 8))) 1/3) (/.f64 (pow.f64 b_2 6) (pow.f64 (cbrt.f64 -1) 8)))) (+.f64 (.f64 (pow.f64 (.f64 c a) 1/3) (cbrt.f64 -1)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 1/3) (/.f64 (pow.f64 b_2 2) (pow.f64 (cbrt.f64 -1) 2)))))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5))) 1/3) (/.f64 (pow.f64 b_2 4) (pow.f64 (cbrt.f64 -1) 5)))))
(pow.f64 (pow.f64 b_2 2) 1/3)
(-.f64 (pow.f64 (pow.f64 b_2 2) 1/3) (.f64 1/3 (.f64 (*.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/9))))
(-.f64 (pow.f64 (pow.f64 b_2 2) 1/3) (+.f64 (.f64 1/3 (.f64 (.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/9))) (.f64 1/9 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 (/.f64 1 (pow.f64 b_2 14)) 1/9)))))
(-.f64 (pow.f64 (pow.f64 b_2 2) 1/3) (+.f64 (.f64 1/3 (.f64 (.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/9))) (+.f64 (.f64 1/9 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 (/.f64 1 (pow.f64 b_2 14)) 1/9))) (.f64 5/81 (.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 (/.f64 1 (pow.f64 b_2 8)) 1/3))))))
(pow.f64 (pow.f64 b_2 2) 1/3)
(-.f64 (pow.f64 (pow.f64 b_2 2) 1/3) (.f64 1/3 (.f64 (*.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/9))))
(-.f64 (pow.f64 (pow.f64 b_2 2) 1/3) (+.f64 (.f64 1/3 (.f64 (.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/9))) (.f64 1/9 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 (/.f64 1 (pow.f64 b_2 14)) 1/9)))))
(-.f64 (pow.f64 (pow.f64 b_2 2) 1/3) (+.f64 (.f64 1/3 (.f64 (.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/9))) (+.f64 (.f64 1/9 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 (/.f64 1 (pow.f64 b_2 14)) 1/9))) (.f64 5/81 (.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 (/.f64 1 (pow.f64 b_2 8)) 1/3))))))
(sqrt.f64 (neg.f64 (*.f64 c a)))
(+.f64 (sqrt.f64 (neg.f64 (.f64 c a))) (.f64 1/2 (/.f64 (pow.f64 b_2 2) (sqrt.f64 (neg.f64 (*.f64 c a))))))
(-.f64 (+.f64 (sqrt.f64 (neg.f64 (.f64 c a))) (.f64 1/2 (/.f64 (pow.f64 b_2 2) (sqrt.f64 (neg.f64 (.f64 c a)))))) (.f64 1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 3))))
(-.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 5))) (+.f64 (sqrt.f64 (neg.f64 (.f64 c a))) (.f64 1/2 (/.f64 (pow.f64 b_2 2) (sqrt.f64 (neg.f64 (.f64 c a))))))) (.f64 1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 3))))
b_2
(-.f64 b_2 (.f64 1/2 (/.f64 (.f64 c a) b_2)))
(-.f64 b_2 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)))))
(-.f64 b_2 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))))))
(*.f64 -1 b_2)
(-.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) b_2)
(-.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)))) b_2)
(-.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))))) b_2)
b_2
(-.f64 b_2 (.f64 1/2 (/.f64 (.f64 c a) b_2)))
(-.f64 b_2 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)))))
(-.f64 b_2 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))))))
b_2
(-.f64 b_2 (.f64 1/2 (/.f64 (.f64 c a) b_2)))
(-.f64 b_2 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)))))
(-.f64 b_2 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))))))
(.f64 -1 (sqrt.f64 (neg.f64 (.f64 c a))))
(neg.f64 (+.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 c a)))))
(neg.f64 (+.f64 b_2 (+.f64 (sqrt.f64 (neg.f64 (.f64 c a))) (.f64 1/2 (/.f64 (pow.f64 b_2 2) (sqrt.f64 (neg.f64 (*.f64 c a))))))))
(-.f64 (.f64 1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 3))) (+.f64 b_2 (+.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 -2 b_2)
(-.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (*.f64 2 b_2))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)))) (*.f64 2 b_2))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))))) (*.f64 2 b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(neg.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)))))
(neg.f64 (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))))))
(neg.f64 (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (+.f64 (.f64 5/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b_2 7))) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)))))))
(*.f64 -2 b_2)
(-.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (*.f64 2 b_2))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)))) (*.f64 2 b_2))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))))) (*.f64 2 b_2))
(*.f64 -2 b_2)
(-.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (*.f64 2 b_2))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)))) (*.f64 2 b_2))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))))) (*.f64 2 b_2))
(.f64 -1 (.f64 c a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(pow.f64 b_2 2)
(-.f64 (pow.f64 b_2 2) (.f64 (.f64 c a) (pow.f64 (pow.f64 b_2 8) 1/9)))
(-.f64 (pow.f64 b_2 2) (.f64 (.f64 c a) (pow.f64 (pow.f64 b_2 8) 1/9)))
(-.f64 (pow.f64 b_2 2) (.f64 (.f64 c a) (pow.f64 (pow.f64 b_2 8) 1/9)))
(pow.f64 b_2 2)
(-.f64 (pow.f64 b_2 2) (.f64 (.f64 c a) (pow.f64 (pow.f64 b_2 8) 1/9)))
(-.f64 (pow.f64 b_2 2) (.f64 (.f64 c a) (pow.f64 (pow.f64 b_2 8) 1/9)))
(-.f64 (pow.f64 b_2 2) (.f64 (.f64 c a) (pow.f64 (pow.f64 b_2 8) 1/9)))

Outputs
(.f64 (pow.f64 (.f64 c a) 1/3) (cbrt.f64 -1))
(.f64 (cbrt.f64 (.f64 c a)) (cbrt.f64 -1))
(+.f64 (.f64 (pow.f64 (.f64 c a) 1/3) (cbrt.f64 -1)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) 1/3) (/.f64 (pow.f64 b_2 2) (pow.f64 (cbrt.f64 -1) 2)))))
(fma.f64 (cbrt.f64 (.f64 c a)) (cbrt.f64 -1) (.f64 1/3 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (.f64 c c)) (.f64 a a))) (/.f64 (.f64 b_2 b_2) (pow.f64 (cbrt.f64 -1) 2)))))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 c (.f64 c (.f64 a a))))) (/.f64 b_2 (/.f64 (pow.f64 (cbrt.f64 -1) 2) b_2))) (.f64 (cbrt.f64 (.f64 c a)) (cbrt.f64 -1)))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 (.f64 c a) (.f64 c a)))) (/.f64 b_2 (/.f64 (pow.f64 (cbrt.f64 -1) 2) b_2))) (.f64 (cbrt.f64 (.f64 c a)) (cbrt.f64 -1)))
(-.f64 (+.f64 (.f64 (pow.f64 (.f64 c a) 1/3) (cbrt.f64 -1)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 1/3) (/.f64 (pow.f64 b_2 2) (pow.f64 (cbrt.f64 -1) 2))))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5))) 1/3) (/.f64 (pow.f64 b_2 4) (pow.f64 (cbrt.f64 -1) 5)))))
(-.f64 (fma.f64 (cbrt.f64 (.f64 c a)) (cbrt.f64 -1) (.f64 1/3 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (.f64 c c)) (.f64 a a))) (/.f64 (.f64 b_2 b_2) (pow.f64 (cbrt.f64 -1) 2))))) (.f64 1/9 (.f64 (cbrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (cbrt.f64 -1) 5)))))
(fma.f64 (cbrt.f64 (.f64 c a)) (cbrt.f64 -1) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 c (.f64 c (.f64 a a))))) (/.f64 b_2 (/.f64 (pow.f64 (cbrt.f64 -1) 2) b_2))) (.f64 (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (cbrt.f64 -1) 5))) -1/9)))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 (.f64 c a) (.f64 c a)))) (/.f64 b_2 (/.f64 (pow.f64 (cbrt.f64 -1) 2) b_2))) (fma.f64 (cbrt.f64 (.f64 c a)) (cbrt.f64 -1) (.f64 (.f64 -1/9 (/.f64 (pow.f64 b_2 4) (pow.f64 (cbrt.f64 -1) 5))) (cbrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))))))
(-.f64 (+.f64 (.f64 5/81 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 c 8) (pow.f64 a 8))) 1/3) (/.f64 (pow.f64 b_2 6) (pow.f64 (cbrt.f64 -1) 8)))) (+.f64 (.f64 (pow.f64 (.f64 c a) 1/3) (cbrt.f64 -1)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 1/3) (/.f64 (pow.f64 b_2 2) (pow.f64 (cbrt.f64 -1) 2)))))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5))) 1/3) (/.f64 (pow.f64 b_2 4) (pow.f64 (cbrt.f64 -1) 5)))))
(+.f64 (fma.f64 5/81 (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 c 8) (pow.f64 a 8)))) (/.f64 (pow.f64 b_2 6) (pow.f64 (cbrt.f64 -1) 8))) (fma.f64 (cbrt.f64 (.f64 c a)) (cbrt.f64 -1) (.f64 1/3 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (.f64 c c)) (.f64 a a))) (/.f64 (.f64 b_2 b_2) (pow.f64 (cbrt.f64 -1) 2)))))) (.f64 -1/9 (.f64 (cbrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (cbrt.f64 -1) 5)))))
(fma.f64 5/81 (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 c 8) (pow.f64 a 8)))) (/.f64 (pow.f64 b_2 6) (pow.f64 (cbrt.f64 -1) 8))) (fma.f64 (cbrt.f64 (.f64 c a)) (cbrt.f64 -1) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 c (.f64 c (.f64 a a))))) (/.f64 b_2 (/.f64 (pow.f64 (cbrt.f64 -1) 2) b_2))) (.f64 (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (cbrt.f64 -1) 5))) -1/9))))
(fma.f64 (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (cbrt.f64 -1) 5))) -1/9 (fma.f64 5/81 (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 c 8) (pow.f64 a 8)))) (/.f64 (pow.f64 b_2 6) (pow.f64 (cbrt.f64 -1) 8))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 (.f64 c a) (.f64 c a)))) (/.f64 b_2 (/.f64 (pow.f64 (cbrt.f64 -1) 2) b_2))) (.f64 (cbrt.f64 (.f64 c a)) (cbrt.f64 -1)))))
(pow.f64 (pow.f64 b_2 2) 1/3)
(cbrt.f64 (*.f64 b_2 b_2))
(-.f64 (pow.f64 (pow.f64 b_2 2) 1/3) (.f64 1/3 (.f64 (*.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/9))))
(+.f64 (cbrt.f64 (.f64 b_2 b_2)) (.f64 -1/3 (.f64 (.f64 c a) (*.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/18)))))
(+.f64 (cbrt.f64 (.f64 b_2 b_2)) (.f64 (.f64 -1/3 (.f64 c a)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/18))))
(fma.f64 (.f64 (.f64 c a) -1/3) (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/18)) (cbrt.f64 (.f64 b_2 b_2)))
(-.f64 (pow.f64 (pow.f64 b_2 2) 1/3) (+.f64 (.f64 1/3 (.f64 (.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/9))) (.f64 1/9 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 (/.f64 1 (pow.f64 b_2 14)) 1/9)))))
(-.f64 (cbrt.f64 (.f64 b_2 b_2)) (fma.f64 1/3 (.f64 (.f64 c a) (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/18))) (.f64 1/9 (.f64 (.f64 (.f64 c c) (.f64 a a)) (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 14)) 1/18))))))
(-.f64 (cbrt.f64 (.f64 b_2 b_2)) (fma.f64 1/9 (.f64 (.f64 c (.f64 c (.f64 a a))) (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 14)) 1/18))) (.f64 (.f64 c a) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/18)) 1/3))))
(+.f64 (fma.f64 (.f64 (.f64 c a) -1/3) (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/18)) (cbrt.f64 (.f64 b_2 b_2))) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 14)) 1/18)) (.f64 (.f64 (.f64 c a) (.f64 c a)) -1/9)))
(-.f64 (pow.f64 (pow.f64 b_2 2) 1/3) (+.f64 (.f64 1/3 (.f64 (.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/9))) (+.f64 (.f64 1/9 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 (/.f64 1 (pow.f64 b_2 14)) 1/9))) (.f64 5/81 (.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 (/.f64 1 (pow.f64 b_2 8)) 1/3))))))
(-.f64 (cbrt.f64 (.f64 b_2 b_2)) (fma.f64 1/3 (.f64 (.f64 c a) (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/18))) (fma.f64 1/9 (.f64 (.f64 (.f64 c c) (.f64 a a)) (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 14)) 1/18))) (.f64 5/81 (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (cbrt.f64 (/.f64 1 (pow.f64 b_2 8))))))))
(-.f64 (cbrt.f64 (.f64 b_2 b_2)) (fma.f64 1/3 (.f64 a (.f64 c (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/18)))) (fma.f64 1/9 (.f64 (.f64 c (.f64 c (.f64 a a))) (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 14)) 1/18))) (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 b_2 8))) 5/81)))))
(-.f64 (cbrt.f64 (.f64 b_2 b_2)) (fma.f64 (.f64 (.f64 c a) (.f64 c a)) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 14)) 1/18)) 1/9) (fma.f64 (.f64 (.f64 (.f64 c a) 1/3) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/18) (.f64 5/81 (.f64 (pow.f64 a 3) (.f64 (pow.f64 c 3) (cbrt.f64 (/.f64 1 (pow.f64 b_2 8)))))))))
(pow.f64 (pow.f64 b_2 2) 1/3)
(cbrt.f64 (*.f64 b_2 b_2))
(-.f64 (pow.f64 (pow.f64 b_2 2) 1/3) (.f64 1/3 (.f64 (*.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/9))))
(+.f64 (cbrt.f64 (.f64 b_2 b_2)) (.f64 -1/3 (.f64 (.f64 c a) (*.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/18)))))
(+.f64 (cbrt.f64 (.f64 b_2 b_2)) (.f64 (.f64 -1/3 (.f64 c a)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/18))))
(fma.f64 (.f64 (.f64 c a) -1/3) (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/18)) (cbrt.f64 (.f64 b_2 b_2)))
(-.f64 (pow.f64 (pow.f64 b_2 2) 1/3) (+.f64 (.f64 1/3 (.f64 (.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/9))) (.f64 1/9 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 (/.f64 1 (pow.f64 b_2 14)) 1/9)))))
(-.f64 (cbrt.f64 (.f64 b_2 b_2)) (fma.f64 1/3 (.f64 (.f64 c a) (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/18))) (.f64 1/9 (.f64 (.f64 (.f64 c c) (.f64 a a)) (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 14)) 1/18))))))
(-.f64 (cbrt.f64 (.f64 b_2 b_2)) (fma.f64 1/9 (.f64 (.f64 c (.f64 c (.f64 a a))) (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 14)) 1/18))) (.f64 (.f64 c a) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/18)) 1/3))))
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(-.f64 (pow.f64 (pow.f64 b_2 2) 1/3) (+.f64 (.f64 1/3 (.f64 (.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/9))) (+.f64 (.f64 1/9 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 (/.f64 1 (pow.f64 b_2 14)) 1/9))) (.f64 5/81 (.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 (/.f64 1 (pow.f64 b_2 8)) 1/3))))))
(-.f64 (cbrt.f64 (.f64 b_2 b_2)) (fma.f64 1/3 (.f64 (.f64 c a) (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/18))) (fma.f64 1/9 (.f64 (.f64 (.f64 c c) (.f64 a a)) (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 14)) 1/18))) (.f64 5/81 (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (cbrt.f64 (/.f64 1 (pow.f64 b_2 8))))))))
(-.f64 (cbrt.f64 (.f64 b_2 b_2)) (fma.f64 1/3 (.f64 a (.f64 c (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/18)))) (fma.f64 1/9 (.f64 (.f64 c (.f64 c (.f64 a a))) (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 14)) 1/18))) (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 b_2 8))) 5/81)))))
(-.f64 (cbrt.f64 (.f64 b_2 b_2)) (fma.f64 (.f64 (.f64 c a) (.f64 c a)) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 14)) 1/18)) 1/9) (fma.f64 (.f64 (.f64 (.f64 c a) 1/3) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/18) (.f64 5/81 (.f64 (pow.f64 a 3) (.f64 (pow.f64 c 3) (cbrt.f64 (/.f64 1 (pow.f64 b_2 8)))))))))
(sqrt.f64 (neg.f64 (*.f64 c a)))
(sqrt.f64 (*.f64 (neg.f64 c) a))
(sqrt.f64 (*.f64 c (neg.f64 a)))
(sqrt.f64 (*.f64 a (neg.f64 c)))
(+.f64 (sqrt.f64 (neg.f64 (.f64 c a))) (.f64 1/2 (/.f64 (pow.f64 b_2 2) (sqrt.f64 (neg.f64 (*.f64 c a))))))
(+.f64 (sqrt.f64 (.f64 (neg.f64 c) a)) (.f64 1/2 (/.f64 (.f64 b_2 b_2) (sqrt.f64 (.f64 (neg.f64 c) a)))))
(fma.f64 1/2 (/.f64 (.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 a (neg.f64 c)))) b_2) (sqrt.f64 (*.f64 a (neg.f64 c))))
(-.f64 (+.f64 (sqrt.f64 (neg.f64 (.f64 c a))) (.f64 1/2 (/.f64 (pow.f64 b_2 2) (sqrt.f64 (neg.f64 (.f64 c a)))))) (.f64 1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 3))))
(+.f64 (sqrt.f64 (.f64 (neg.f64 c) a)) (-.f64 (.f64 1/2 (/.f64 (.f64 b_2 b_2) (sqrt.f64 (.f64 (neg.f64 c) a)))) (.f64 1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 (.f64 (neg.f64 c) a)) 3)))))
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(fma.f64 (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 (.f64 a (neg.f64 c))) 3)) -1/8 (fma.f64 1/2 (.f64 (/.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))) b_2) (sqrt.f64 (.f64 a (neg.f64 c)))))
(-.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 5))) (+.f64 (sqrt.f64 (neg.f64 (.f64 c a))) (.f64 1/2 (/.f64 (pow.f64 b_2 2) (sqrt.f64 (neg.f64 (.f64 c a))))))) (.f64 1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 3))))
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(fma.f64 (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 (.f64 a (neg.f64 c))) 3)) -1/8 (fma.f64 1/16 (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 (.f64 a (neg.f64 c))) 5)) (fma.f64 1/2 (.f64 (/.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))) b_2) (sqrt.f64 (*.f64 a (neg.f64 c))))))
b_2
(-.f64 b_2 (.f64 1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 b_2 (*.f64 (/.f64 c (/.f64 b_2 a)) -1/2))
(+.f64 b_2 (/.f64 (*.f64 c -1/2) (/.f64 b_2 a)))
(fma.f64 (*.f64 (/.f64 c b_2) a) -1/2 b_2)
(-.f64 b_2 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)))))
(-.f64 b_2 (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) (.f64 1/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3)))))
(-.f64 b_2 (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) (/.f64 1/8 (/.f64 (pow.f64 b_2 3) (.f64 c (.f64 c (*.f64 a a)))))))
(-.f64 (fma.f64 (.f64 (/.f64 c b_2) a) -1/2 b_2) (.f64 (/.f64 1/8 (pow.f64 b_2 3)) (.f64 (.f64 c a) (*.f64 c a))))
(-.f64 b_2 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))))))
(-.f64 b_2 (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) (fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) (.f64 1/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3))))))
(-.f64 b_2 (fma.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 1/16 (/.f64 (pow.f64 b_2 5) (.f64 (pow.f64 c 3) (pow.f64 a 3)))))))
(+.f64 b_2 (fma.f64 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5)) -1/16 (fma.f64 (.f64 (/.f64 c b_2) a) -1/2 (.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a a)) -1/8))))
(*.f64 -1 b_2)
(neg.f64 b_2)
(-.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) b_2)
(-.f64 (*.f64 1/2 (/.f64 c (/.f64 b_2 a))) b_2)
(-.f64 (/.f64 (*.f64 c 1/2) (/.f64 b_2 a)) b_2)
(-.f64 (/.f64 (*.f64 c a) (/.f64 b_2 1/2)) b_2)
(-.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)))) b_2)
(-.f64 (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) (.f64 1/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3)))) b_2)
(-.f64 (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) (/.f64 1/8 (/.f64 (pow.f64 b_2 3) (.f64 c (.f64 c (*.f64 a a)))))) b_2)
(-.f64 (fma.f64 1/2 (.f64 (/.f64 c b_2) a) (.f64 (/.f64 1/8 (pow.f64 b_2 3)) (.f64 (.f64 c a) (*.f64 c a)))) b_2)
(-.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))))) b_2)
(-.f64 (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) (fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) (.f64 1/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3))))) b_2)
(-.f64 (fma.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 1/16 (/.f64 (pow.f64 b_2 5) (.f64 (pow.f64 c 3) (pow.f64 a 3)))))) b_2)
(fma.f64 1/2 (.f64 (/.f64 c b_2) a) (fma.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5)) (-.f64 (.f64 (/.f64 1/8 (pow.f64 b_2 3)) (.f64 (.f64 c a) (.f64 c a))) b_2)))
b_2
(-.f64 b_2 (.f64 1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 b_2 (*.f64 (/.f64 c (/.f64 b_2 a)) -1/2))
(+.f64 b_2 (/.f64 (*.f64 c -1/2) (/.f64 b_2 a)))
(fma.f64 (*.f64 (/.f64 c b_2) a) -1/2 b_2)
(-.f64 b_2 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)))))
(-.f64 b_2 (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) (.f64 1/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3)))))
(-.f64 b_2 (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) (/.f64 1/8 (/.f64 (pow.f64 b_2 3) (.f64 c (.f64 c (*.f64 a a)))))))
(-.f64 (fma.f64 (.f64 (/.f64 c b_2) a) -1/2 b_2) (.f64 (/.f64 1/8 (pow.f64 b_2 3)) (.f64 (.f64 c a) (*.f64 c a))))
(-.f64 b_2 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))))))
(-.f64 b_2 (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) (fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) (.f64 1/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3))))))
(-.f64 b_2 (fma.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 1/16 (/.f64 (pow.f64 b_2 5) (.f64 (pow.f64 c 3) (pow.f64 a 3)))))))
(+.f64 b_2 (fma.f64 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5)) -1/16 (fma.f64 (.f64 (/.f64 c b_2) a) -1/2 (.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a a)) -1/8))))
b_2
(-.f64 b_2 (.f64 1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 b_2 (*.f64 (/.f64 c (/.f64 b_2 a)) -1/2))
(+.f64 b_2 (/.f64 (*.f64 c -1/2) (/.f64 b_2 a)))
(fma.f64 (*.f64 (/.f64 c b_2) a) -1/2 b_2)
(-.f64 b_2 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)))))
(-.f64 b_2 (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) (.f64 1/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3)))))
(-.f64 b_2 (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) (/.f64 1/8 (/.f64 (pow.f64 b_2 3) (.f64 c (.f64 c (*.f64 a a)))))))
(-.f64 (fma.f64 (.f64 (/.f64 c b_2) a) -1/2 b_2) (.f64 (/.f64 1/8 (pow.f64 b_2 3)) (.f64 (.f64 c a) (*.f64 c a))))
(-.f64 b_2 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))))))
(-.f64 b_2 (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) (fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) (.f64 1/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3))))))
(-.f64 b_2 (fma.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 1/16 (/.f64 (pow.f64 b_2 5) (.f64 (pow.f64 c 3) (pow.f64 a 3)))))))
(+.f64 b_2 (fma.f64 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5)) -1/16 (fma.f64 (.f64 (/.f64 c b_2) a) -1/2 (.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a a)) -1/8))))
(.f64 -1 (sqrt.f64 (neg.f64 (.f64 c a))))
(neg.f64 (sqrt.f64 (*.f64 (neg.f64 c) a)))
(neg.f64 (sqrt.f64 (*.f64 c (neg.f64 a))))
(neg.f64 (sqrt.f64 (*.f64 a (neg.f64 c))))
(neg.f64 (+.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 c a)))))
(neg.f64 (+.f64 b_2 (sqrt.f64 (*.f64 (neg.f64 c) a))))
(-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a))))
(-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 a (neg.f64 c))))
(neg.f64 (+.f64 b_2 (+.f64 (sqrt.f64 (neg.f64 (.f64 c a))) (.f64 1/2 (/.f64 (pow.f64 b_2 2) (sqrt.f64 (neg.f64 (*.f64 c a))))))))
(neg.f64 (+.f64 b_2 (+.f64 (sqrt.f64 (.f64 (neg.f64 c) a)) (.f64 1/2 (/.f64 (.f64 b_2 b_2) (sqrt.f64 (.f64 (neg.f64 c) a)))))))
(-.f64 (neg.f64 b_2) (fma.f64 1/2 (/.f64 (.f64 b_2 b_2) (sqrt.f64 (.f64 c (neg.f64 a)))) (sqrt.f64 (*.f64 c (neg.f64 a)))))
(neg.f64 (+.f64 (sqrt.f64 (.f64 a (neg.f64 c))) (fma.f64 1/2 (.f64 (/.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) b_2) b_2)))
(-.f64 (.f64 1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 3))) (+.f64 b_2 (+.f64 (sqrt.f64 (neg.f64 (.f64 c a))) (.f64 1/2 (/.f64 (pow.f64 b_2 2) (sqrt.f64 (neg.f64 (*.f64 c a))))))))
(-.f64 (.f64 1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 (.f64 (neg.f64 c) a)) 3))) (+.f64 b_2 (+.f64 (sqrt.f64 (.f64 (neg.f64 c) a)) (.f64 1/2 (/.f64 (.f64 b_2 b_2) (sqrt.f64 (.f64 (neg.f64 c) a)))))))
(-.f64 (/.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 3) (pow.f64 b_2 4))) (+.f64 b_2 (fma.f64 1/2 (/.f64 (.f64 b_2 b_2) (sqrt.f64 (.f64 c (neg.f64 a)))) (sqrt.f64 (.f64 c (neg.f64 a))))))
(-.f64 (.f64 1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 (.f64 a (neg.f64 c))) 3))) (+.f64 (sqrt.f64 (.f64 a (neg.f64 c))) (fma.f64 1/2 (.f64 (/.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) b_2) b_2)))
(*.f64 -2 b_2)
(*.f64 b_2 -2)
(-.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (*.f64 2 b_2))
(+.f64 (.f64 1/2 (/.f64 c (/.f64 b_2 a))) (.f64 b_2 -2))
(fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) (*.f64 b_2 -2))
(fma.f64 b_2 -2 (/.f64 (*.f64 c a) (/.f64 b_2 1/2)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)))) (*.f64 2 b_2))
(+.f64 (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) (.f64 1/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3)))) (*.f64 b_2 -2))
(fma.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 b_2 -2)))
(fma.f64 1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a a)) (fma.f64 b_2 -2 (/.f64 (.f64 c a) (/.f64 b_2 1/2))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))))) (*.f64 2 b_2))
(+.f64 (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) (fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) (.f64 1/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3))))) (*.f64 b_2 -2))
(+.f64 (fma.f64 1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a a)) (/.f64 1/16 (/.f64 (pow.f64 b_2 5) (.f64 (pow.f64 c 3) (pow.f64 a 3))))) (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) (*.f64 b_2 -2)))
(fma.f64 b_2 -2 (fma.f64 1/2 (.f64 (/.f64 c b_2) a) (fma.f64 1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a a)) (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))))))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 (/.f64 c (/.f64 b_2 a)) -1/2)
(/.f64 (*.f64 c -1/2) (/.f64 b_2 a))
(.f64 (/.f64 -1/2 b_2) (.f64 c a))
(neg.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)))))
(neg.f64 (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) (.f64 1/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3)))))
(-.f64 (/.f64 (.f64 c -1/2) (/.f64 b_2 a)) (/.f64 1/8 (/.f64 (pow.f64 b_2 3) (.f64 c (.f64 c (.f64 a a))))))
(fma.f64 (.f64 (/.f64 c b_2) a) -1/2 (.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (*.f64 a a)) -1/8))
(neg.f64 (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))))))
(neg.f64 (fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) (.f64 1/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3))))))
(-.f64 (.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) -1/16) (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) (/.f64 1/8 (/.f64 (pow.f64 b_2 3) (.f64 c (.f64 c (.f64 a a)))))))
(fma.f64 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5)) -1/16 (fma.f64 (.f64 (/.f64 c b_2) a) -1/2 (.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a a)) -1/8)))
(neg.f64 (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (+.f64 (.f64 5/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b_2 7))) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)))))))
(neg.f64 (fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) (fma.f64 5/128 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b_2 7) (pow.f64 a 4))) (.f64 1/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3)))))))
(-.f64 (.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) -1/16) (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) (fma.f64 5/128 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b_2 7) (pow.f64 a 4))) (/.f64 1/8 (/.f64 (pow.f64 b_2 3) (.f64 c (.f64 c (.f64 a a))))))))
(-.f64 (.f64 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5)) -1/16) (fma.f64 1/2 (.f64 (/.f64 c b_2) a) (fma.f64 1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a a)) (.f64 (/.f64 5/128 (pow.f64 b_2 7)) (.f64 (pow.f64 c 4) (pow.f64 a 4))))))
(*.f64 -2 b_2)
(*.f64 b_2 -2)
(-.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (*.f64 2 b_2))
(+.f64 (.f64 1/2 (/.f64 c (/.f64 b_2 a))) (.f64 b_2 -2))
(fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) (*.f64 b_2 -2))
(fma.f64 b_2 -2 (/.f64 (*.f64 c a) (/.f64 b_2 1/2)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)))) (*.f64 2 b_2))
(+.f64 (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) (.f64 1/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3)))) (*.f64 b_2 -2))
(fma.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 b_2 -2)))
(fma.f64 1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a a)) (fma.f64 b_2 -2 (/.f64 (.f64 c a) (/.f64 b_2 1/2))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))))) (*.f64 2 b_2))
(+.f64 (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) (fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) (.f64 1/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3))))) (*.f64 b_2 -2))
(+.f64 (fma.f64 1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a a)) (/.f64 1/16 (/.f64 (pow.f64 b_2 5) (.f64 (pow.f64 c 3) (pow.f64 a 3))))) (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) (*.f64 b_2 -2)))
(fma.f64 b_2 -2 (fma.f64 1/2 (.f64 (/.f64 c b_2) a) (fma.f64 1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a a)) (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))))))
(*.f64 -2 b_2)
(*.f64 b_2 -2)
(-.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (*.f64 2 b_2))
(+.f64 (.f64 1/2 (/.f64 c (/.f64 b_2 a))) (.f64 b_2 -2))
(fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) (*.f64 b_2 -2))
(fma.f64 b_2 -2 (/.f64 (*.f64 c a) (/.f64 b_2 1/2)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)))) (*.f64 2 b_2))
(+.f64 (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) (.f64 1/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3)))) (*.f64 b_2 -2))
(fma.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 b_2 -2)))
(fma.f64 1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a a)) (fma.f64 b_2 -2 (/.f64 (.f64 c a) (/.f64 b_2 1/2))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))))) (*.f64 2 b_2))
(+.f64 (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) (fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) (.f64 1/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3))))) (*.f64 b_2 -2))
(+.f64 (fma.f64 1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a a)) (/.f64 1/16 (/.f64 (pow.f64 b_2 5) (.f64 (pow.f64 c 3) (pow.f64 a 3))))) (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) (*.f64 b_2 -2)))
(fma.f64 b_2 -2 (fma.f64 1/2 (.f64 (/.f64 c b_2) a) (fma.f64 1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a a)) (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))))))
(.f64 -1 (.f64 c a))
(*.f64 (neg.f64 c) a)
(*.f64 c (neg.f64 a))
(*.f64 a (neg.f64 c))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(pow.f64 b_2 2)
(*.f64 b_2 b_2)
(-.f64 (pow.f64 b_2 2) (.f64 (.f64 c a) (pow.f64 (pow.f64 b_2 8) 1/9)))
(-.f64 (.f64 b_2 b_2) (.f64 (.f64 c a) (.f64 (pow.f64 (pow.f64 b_2 8) 1/18) (pow.f64 (pow.f64 b_2 8) 1/18))))
(-.f64 (.f64 b_2 b_2) (.f64 (pow.f64 (pow.f64 b_2 8) 1/18) (.f64 (pow.f64 (pow.f64 b_2 8) 1/18) (.f64 c a))))
(-.f64 (pow.f64 b_2 2) (.f64 (.f64 c a) (pow.f64 (pow.f64 b_2 8) 1/9)))
(-.f64 (.f64 b_2 b_2) (.f64 (.f64 c a) (.f64 (pow.f64 (pow.f64 b_2 8) 1/18) (pow.f64 (pow.f64 b_2 8) 1/18))))
(-.f64 (.f64 b_2 b_2) (.f64 (pow.f64 (pow.f64 b_2 8) 1/18) (.f64 (pow.f64 (pow.f64 b_2 8) 1/18) (.f64 c a))))
(-.f64 (pow.f64 b_2 2) (.f64 (.f64 c a) (pow.f64 (pow.f64 b_2 8) 1/9)))
(-.f64 (.f64 b_2 b_2) (.f64 (.f64 c a) (.f64 (pow.f64 (pow.f64 b_2 8) 1/18) (pow.f64 (pow.f64 b_2 8) 1/18))))
(-.f64 (.f64 b_2 b_2) (.f64 (pow.f64 (pow.f64 b_2 8) 1/18) (.f64 (pow.f64 (pow.f64 b_2 8) 1/18) (.f64 c a))))
(pow.f64 b_2 2)
(*.f64 b_2 b_2)
(-.f64 (pow.f64 b_2 2) (.f64 (.f64 c a) (pow.f64 (pow.f64 b_2 8) 1/9)))
(-.f64 (.f64 b_2 b_2) (.f64 (.f64 c a) (.f64 (pow.f64 (pow.f64 b_2 8) 1/18) (pow.f64 (pow.f64 b_2 8) 1/18))))
(-.f64 (.f64 b_2 b_2) (.f64 (pow.f64 (pow.f64 b_2 8) 1/18) (.f64 (pow.f64 (pow.f64 b_2 8) 1/18) (.f64 c a))))
(-.f64 (pow.f64 b_2 2) (.f64 (.f64 c a) (pow.f64 (pow.f64 b_2 8) 1/9)))
(-.f64 (.f64 b_2 b_2) (.f64 (.f64 c a) (.f64 (pow.f64 (pow.f64 b_2 8) 1/18) (pow.f64 (pow.f64 b_2 8) 1/18))))
(-.f64 (.f64 b_2 b_2) (.f64 (pow.f64 (pow.f64 b_2 8) 1/18) (.f64 (pow.f64 (pow.f64 b_2 8) 1/18) (.f64 c a))))
(-.f64 (pow.f64 b_2 2) (.f64 (.f64 c a) (pow.f64 (pow.f64 b_2 8) 1/9)))
(-.f64 (.f64 b_2 b_2) (.f64 (.f64 c a) (.f64 (pow.f64 (pow.f64 b_2 8) 1/18) (pow.f64 (pow.f64 b_2 8) 1/18))))
(-.f64 (.f64 b_2 b_2) (.f64 (pow.f64 (pow.f64 b_2 8) 1/18) (.f64 (pow.f64 (pow.f64 b_2 8) 1/18) (.f64 c a))))

prune231.0ms (3.7%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	411	1	412
Fresh	0	11	11
Picked	0	1	1
Done	0	1	1
Total	411	14	425

Error

4.8b

Counts

425 → 14

Alt Table

Status	Error	Program
▶	31.9b	(/.f64 (-.f64 (neg.f64 b_2) (.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))))) a)
✓	30.3b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	43.6b	(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) 2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))) a)))
	47.1b	(/.f64 (cbrt.f64 (pow.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) 3)) a)
	52.6b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (pow.f64 (pow.f64 (pow.f64 b_2 2) 1/3) 3))) a)
	43.8b	(/.f64 (.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)))))) a)
	56.5b	(cbrt.f64 (/.f64 (pow.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) 3) (pow.f64 a 3)))
	42.2b	(*.f64 -1/2 (/.f64 c b_2))
✓	31.7b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 3))) a)
	44.8b	(-.f64 (.f64 1/2 (/.f64 c b_2)) (.f64 2 (/.f64 b_2 a)))
	44.6b	(*.f64 (/.f64 -2 a) b_2)
	45.5b	(/.f64 (*.f64 (/.f64 a (/.f64 b_2 c)) -1/2) a)
	34.4b	(/.f64 (-.f64 (neg.f64 b_2) (exp.f64 (log.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))) a)
	53.6b	(pow.f64 (sqrt.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)) 2)

Compiler

Compiled 11910 to 3930 computations (67% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(cbrt.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
✓	5.4b	(-.f64 (neg.f64 b_2) (.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)))))
	19.5b	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
	20.4b	(cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

series117.0ms (1.9%)

Counts

2 → 56

Calls

18 calls:

Time	Variable		Point	Expression
26.0ms	a	@	0	(-.f64 (neg.f64 b_2) (.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)))))
21.0ms	b_2	@	inf	(cbrt.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
9.0ms	c	@	0	(cbrt.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
6.0ms	c	@	-inf	(-.f64 (neg.f64 b_2) (.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)))))
5.0ms	c	@	inf	(-.f64 (neg.f64 b_2) (.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)))))

rewrite58.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

294×	`fma-neg_binary64`
217×	`expm1-udef_binary64`
217×	`log1p-udef_binary64`
151×	`add-sqr-sqrt_binary64`
146×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	45
1	294	28
2	4126	28

Stop Event

1×	node limit

Counts

2 → 72

Calls

Call 1

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

Outputs

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

simplify69.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

771×	`fma-def_binary64`
537×	`cancel-sign-sub-inv_binary64`
222×	`unswap-sqr_binary64`
178×	`associate-r_binary64`
172×	`sub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	230	2486
1	773	2430
2	2980	2402

Stop Event

1×	node limit

Counts

128 → 152

Calls

Call 1

Inputs
(.f64 -1 (sqrt.f64 (neg.f64 (.f64 c a))))
(neg.f64 (+.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 c a)))))
(neg.f64 (+.f64 b_2 (+.f64 (sqrt.f64 (neg.f64 (.f64 c a))) (.f64 1/2 (/.f64 (pow.f64 b_2 2) (sqrt.f64 (neg.f64 (*.f64 c a))))))))
(-.f64 (.f64 1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 3))) (+.f64 b_2 (+.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 -2 b_2)
(-.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (*.f64 2 b_2))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)))) (*.f64 2 b_2))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))))) (*.f64 2 b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(neg.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)))))
(neg.f64 (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))))))
(neg.f64 (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (+.f64 (.f64 5/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b_2 7))) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)))))))
(*.f64 -2 b_2)
(-.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (*.f64 2 b_2))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)))) (*.f64 2 b_2))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))))) (*.f64 2 b_2))
(*.f64 -2 b_2)
(-.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (*.f64 2 b_2))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)))) (*.f64 2 b_2))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))))) (*.f64 2 b_2))
(pow.f64 (.f64 -1 (.f64 c a)) 1/6)
(-.f64 (pow.f64 (.f64 -1 (.f64 c a)) 1/6) (.f64 1/6 (.f64 (pow.f64 (/.f64 -1 (*.f64 (pow.f64 c 5) (pow.f64 a 5))) 1/6) (pow.f64 b_2 2))))
(-.f64 (pow.f64 (.f64 -1 (.f64 c a)) 1/6) (+.f64 (.f64 5/72 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 11) (pow.f64 a 11))) 1/6) (pow.f64 b_2 4))) (.f64 1/6 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 5) (pow.f64 a 5))) 1/6) (pow.f64 b_2 2)))))
(-.f64 (pow.f64 (.f64 -1 (.f64 c a)) 1/6) (+.f64 (.f64 55/1296 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 17) (pow.f64 a 17))) 1/6) (pow.f64 b_2 6))) (+.f64 (.f64 5/72 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 11) (pow.f64 a 11))) 1/6) (pow.f64 b_2 4))) (.f64 1/6 (.f64 (pow.f64 (/.f64 -1 (*.f64 (pow.f64 c 5) (pow.f64 a 5))) 1/6) (pow.f64 b_2 2))))))
(pow.f64 b_2 1/3)
(-.f64 (pow.f64 b_2 1/3) (.f64 1/6 (.f64 (*.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b_2 5)) 1/3))))
(-.f64 (pow.f64 b_2 1/3) (+.f64 (.f64 5/72 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 (/.f64 1 (pow.f64 b_2 11)) 1/3))) (.f64 1/6 (.f64 (.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b_2 5)) 1/3)))))
(-.f64 (pow.f64 b_2 1/3) (+.f64 (.f64 5/72 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 (/.f64 1 (pow.f64 b_2 11)) 1/3))) (+.f64 (.f64 1/6 (.f64 (.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b_2 5)) 1/3))) (.f64 55/1296 (.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 (/.f64 1 (pow.f64 b_2 17)) 1/3))))))
(pow.f64 (*.f64 -1 b_2) 1/3)
(-.f64 (pow.f64 (.f64 -1 b_2) 1/3) (.f64 1/6 (.f64 (pow.f64 (/.f64 -1 (pow.f64 b_2 5)) 1/3) (.f64 c a))))
(-.f64 (pow.f64 (.f64 -1 b_2) 1/3) (+.f64 (.f64 5/72 (.f64 (pow.f64 (/.f64 -1 (pow.f64 b_2 11)) 1/3) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (.f64 1/6 (.f64 (pow.f64 (/.f64 -1 (pow.f64 b_2 5)) 1/3) (*.f64 c a)))))
(-.f64 (pow.f64 (.f64 -1 b_2) 1/3) (+.f64 (.f64 5/72 (.f64 (pow.f64 (/.f64 -1 (pow.f64 b_2 11)) 1/3) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 -1 (pow.f64 b_2 5)) 1/3) (.f64 c a))) (.f64 55/1296 (.f64 (pow.f64 (/.f64 -1 (pow.f64 b_2 17)) 1/3) (.f64 (pow.f64 c 3) (pow.f64 a 3)))))))
(pow.f64 b_2 1/3)
(-.f64 (pow.f64 b_2 1/3) (.f64 1/6 (.f64 (*.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b_2 5)) 1/3))))
(-.f64 (pow.f64 b_2 1/3) (+.f64 (.f64 5/72 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 (/.f64 1 (pow.f64 b_2 11)) 1/3))) (.f64 1/6 (.f64 (.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b_2 5)) 1/3)))))
(-.f64 (pow.f64 b_2 1/3) (+.f64 (.f64 5/72 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 (/.f64 1 (pow.f64 b_2 11)) 1/3))) (+.f64 (.f64 1/6 (.f64 (.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b_2 5)) 1/3))) (.f64 55/1296 (.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 (/.f64 1 (pow.f64 b_2 17)) 1/3))))))
(exp.f64 (*.f64 1/6 (-.f64 (log.f64 (neg.f64 c)) (log.f64 (/.f64 1 a)))))
(-.f64 (exp.f64 (.f64 1/6 (-.f64 (log.f64 (neg.f64 c)) (log.f64 (/.f64 1 a))))) (.f64 1/6 (/.f64 (.f64 (exp.f64 (.f64 1/6 (-.f64 (log.f64 (neg.f64 c)) (log.f64 (/.f64 1 a))))) (pow.f64 b_2 2)) (*.f64 c a))))
(-.f64 (exp.f64 (.f64 1/6 (-.f64 (log.f64 (neg.f64 c)) (log.f64 (/.f64 1 a))))) (+.f64 (.f64 1/6 (/.f64 (.f64 (exp.f64 (.f64 1/6 (-.f64 (log.f64 (neg.f64 c)) (log.f64 (/.f64 1 a))))) (pow.f64 b_2 2)) (.f64 c a))) (.f64 5/72 (/.f64 (.f64 (exp.f64 (.f64 1/6 (-.f64 (log.f64 (neg.f64 c)) (log.f64 (/.f64 1 a))))) (pow.f64 b_2 4)) (*.f64 (pow.f64 c 2) (pow.f64 a 2))))))
(-.f64 (exp.f64 (.f64 1/6 (-.f64 (log.f64 (neg.f64 c)) (log.f64 (/.f64 1 a))))) (+.f64 (.f64 55/1296 (/.f64 (.f64 (exp.f64 (.f64 1/6 (-.f64 (log.f64 (neg.f64 c)) (log.f64 (/.f64 1 a))))) (pow.f64 b_2 6)) (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (+.f64 (.f64 1/6 (/.f64 (.f64 (exp.f64 (.f64 1/6 (-.f64 (log.f64 (neg.f64 c)) (log.f64 (/.f64 1 a))))) (pow.f64 b_2 2)) (.f64 c a))) (.f64 5/72 (/.f64 (.f64 (exp.f64 (.f64 1/6 (-.f64 (log.f64 (neg.f64 c)) (log.f64 (/.f64 1 a))))) (pow.f64 b_2 4)) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))))))
(exp.f64 (*.f64 1/6 (-.f64 (log.f64 c) (log.f64 (/.f64 -1 a)))))
(-.f64 (exp.f64 (.f64 1/6 (-.f64 (log.f64 c) (log.f64 (/.f64 -1 a))))) (.f64 1/6 (/.f64 (.f64 (pow.f64 b_2 2) (exp.f64 (.f64 1/6 (-.f64 (log.f64 c) (log.f64 (/.f64 -1 a)))))) (*.f64 c a))))
(-.f64 (exp.f64 (.f64 1/6 (-.f64 (log.f64 c) (log.f64 (/.f64 -1 a))))) (+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 b_2 2) (exp.f64 (.f64 1/6 (-.f64 (log.f64 c) (log.f64 (/.f64 -1 a)))))) (.f64 c a))) (.f64 5/72 (/.f64 (.f64 (pow.f64 b_2 4) (exp.f64 (.f64 1/6 (-.f64 (log.f64 c) (log.f64 (/.f64 -1 a)))))) (*.f64 (pow.f64 c 2) (pow.f64 a 2))))))
(-.f64 (exp.f64 (.f64 1/6 (-.f64 (log.f64 c) (log.f64 (/.f64 -1 a))))) (+.f64 (.f64 55/1296 (/.f64 (.f64 (pow.f64 b_2 6) (exp.f64 (.f64 1/6 (-.f64 (log.f64 c) (log.f64 (/.f64 -1 a)))))) (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 b_2 2) (exp.f64 (.f64 1/6 (-.f64 (log.f64 c) (log.f64 (/.f64 -1 a)))))) (.f64 c a))) (.f64 5/72 (/.f64 (.f64 (pow.f64 b_2 4) (exp.f64 (.f64 1/6 (-.f64 (log.f64 c) (log.f64 (/.f64 -1 a)))))) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))))))
(pow.f64 b_2 1/3)
(-.f64 (pow.f64 b_2 1/3) (.f64 1/6 (.f64 (*.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b_2 5)) 1/3))))
(-.f64 (pow.f64 b_2 1/3) (+.f64 (.f64 5/72 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 (/.f64 1 (pow.f64 b_2 11)) 1/3))) (.f64 1/6 (.f64 (.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b_2 5)) 1/3)))))
(-.f64 (pow.f64 b_2 1/3) (+.f64 (.f64 5/72 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 (/.f64 1 (pow.f64 b_2 11)) 1/3))) (+.f64 (.f64 1/6 (.f64 (.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b_2 5)) 1/3))) (.f64 55/1296 (.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 (/.f64 1 (pow.f64 b_2 17)) 1/3))))))
(exp.f64 (*.f64 1/6 (-.f64 (log.f64 (neg.f64 a)) (log.f64 (/.f64 1 c)))))
(-.f64 (exp.f64 (.f64 1/6 (-.f64 (log.f64 (neg.f64 a)) (log.f64 (/.f64 1 c))))) (.f64 1/6 (/.f64 (.f64 (pow.f64 b_2 2) (exp.f64 (.f64 1/6 (-.f64 (log.f64 (neg.f64 a)) (log.f64 (/.f64 1 c)))))) (*.f64 c a))))
(-.f64 (exp.f64 (.f64 1/6 (-.f64 (log.f64 (neg.f64 a)) (log.f64 (/.f64 1 c))))) (+.f64 (.f64 5/72 (/.f64 (.f64 (pow.f64 b_2 4) (exp.f64 (.f64 1/6 (-.f64 (log.f64 (neg.f64 a)) (log.f64 (/.f64 1 c)))))) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (.f64 1/6 (/.f64 (.f64 (pow.f64 b_2 2) (exp.f64 (.f64 1/6 (-.f64 (log.f64 (neg.f64 a)) (log.f64 (/.f64 1 c)))))) (*.f64 c a)))))
(-.f64 (exp.f64 (.f64 1/6 (-.f64 (log.f64 (neg.f64 a)) (log.f64 (/.f64 1 c))))) (+.f64 (.f64 55/1296 (/.f64 (.f64 (pow.f64 b_2 6) (exp.f64 (.f64 1/6 (-.f64 (log.f64 (neg.f64 a)) (log.f64 (/.f64 1 c)))))) (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (+.f64 (.f64 5/72 (/.f64 (.f64 (pow.f64 b_2 4) (exp.f64 (.f64 1/6 (-.f64 (log.f64 (neg.f64 a)) (log.f64 (/.f64 1 c)))))) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (.f64 1/6 (/.f64 (.f64 (pow.f64 b_2 2) (exp.f64 (.f64 1/6 (-.f64 (log.f64 (neg.f64 a)) (log.f64 (/.f64 1 c)))))) (*.f64 c a))))))
(exp.f64 (*.f64 1/6 (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))))
(-.f64 (exp.f64 (.f64 1/6 (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c))))) (.f64 1/6 (/.f64 (.f64 (exp.f64 (.f64 1/6 (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c))))) (pow.f64 b_2 2)) (*.f64 c a))))
(-.f64 (exp.f64 (.f64 1/6 (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c))))) (+.f64 (.f64 1/6 (/.f64 (.f64 (exp.f64 (.f64 1/6 (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c))))) (pow.f64 b_2 2)) (.f64 c a))) (.f64 5/72 (/.f64 (.f64 (exp.f64 (.f64 1/6 (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c))))) (pow.f64 b_2 4)) (*.f64 (pow.f64 c 2) (pow.f64 a 2))))))
(-.f64 (exp.f64 (.f64 1/6 (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c))))) (+.f64 (.f64 1/6 (/.f64 (.f64 (exp.f64 (.f64 1/6 (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c))))) (pow.f64 b_2 2)) (.f64 c a))) (+.f64 (.f64 55/1296 (/.f64 (.f64 (exp.f64 (.f64 1/6 (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c))))) (pow.f64 b_2 6)) (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (.f64 5/72 (/.f64 (.f64 (exp.f64 (.f64 1/6 (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c))))) (pow.f64 b_2 4)) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))))))

Outputs
(.f64 -1 (sqrt.f64 (neg.f64 (.f64 c a))))
(neg.f64 (sqrt.f64 (*.f64 (neg.f64 c) a)))
(neg.f64 (sqrt.f64 (*.f64 c (neg.f64 a))))
(neg.f64 (+.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 c a)))))
(neg.f64 (+.f64 (sqrt.f64 (*.f64 (neg.f64 c) a)) b_2))
(-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a))))
(neg.f64 (+.f64 b_2 (+.f64 (sqrt.f64 (neg.f64 (.f64 c a))) (.f64 1/2 (/.f64 (pow.f64 b_2 2) (sqrt.f64 (neg.f64 (*.f64 c a))))))))
(neg.f64 (+.f64 b_2 (+.f64 (sqrt.f64 (.f64 (neg.f64 c) a)) (.f64 1/2 (/.f64 (.f64 b_2 b_2) (sqrt.f64 (.f64 (neg.f64 c) a)))))))
(-.f64 (neg.f64 b_2) (fma.f64 1/2 (/.f64 b_2 (/.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2)) (sqrt.f64 (.f64 c (neg.f64 a)))))
(-.f64 (.f64 1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 3))) (+.f64 b_2 (+.f64 (sqrt.f64 (neg.f64 (.f64 c a))) (.f64 1/2 (/.f64 (pow.f64 b_2 2) (sqrt.f64 (neg.f64 (*.f64 c a))))))))
(-.f64 (.f64 1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 (.f64 (neg.f64 c) a)) 3))) (+.f64 b_2 (+.f64 (sqrt.f64 (.f64 (neg.f64 c) a)) (.f64 1/2 (/.f64 (.f64 b_2 b_2) (sqrt.f64 (.f64 (neg.f64 c) a)))))))
(-.f64 (.f64 1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 3))) (+.f64 b_2 (fma.f64 1/2 (/.f64 b_2 (/.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2)) (sqrt.f64 (.f64 c (neg.f64 a))))))
(-.f64 (.f64 1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 3))) (+.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 -2 b_2)
(*.f64 b_2 -2)
(-.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (*.f64 2 b_2))
(+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (*.f64 b_2 -2))
(fma.f64 1/2 (.f64 (/.f64 c b_2) a) (.f64 b_2 -2))
(fma.f64 b_2 -2 (.f64 1/2 (.f64 (/.f64 c b_2) a)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)))) (*.f64 2 b_2))
(+.f64 (fma.f64 1/2 (/.f64 (.f64 c a) b_2) (.f64 1/8 (/.f64 (.f64 (.f64 a a) (.f64 c c)) (pow.f64 b_2 3)))) (.f64 b_2 -2))
(fma.f64 1/2 (.f64 (/.f64 c b_2) a) (fma.f64 1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a a)) (*.f64 b_2 -2)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))))) (*.f64 2 b_2))
(+.f64 (fma.f64 1/2 (/.f64 (.f64 c a) b_2) (fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) (.f64 1/8 (/.f64 (.f64 (.f64 a a) (.f64 c c)) (pow.f64 b_2 3))))) (.f64 b_2 -2))
(+.f64 (fma.f64 1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a a)) (.f64 1/16 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b_2 5) (pow.f64 c 3))))) (fma.f64 1/2 (.f64 (/.f64 c b_2) a) (.f64 b_2 -2)))
(fma.f64 b_2 -2 (fma.f64 1/2 (.f64 (/.f64 c b_2) a) (fma.f64 1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a a)) (*.f64 1/16 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b_2 5) (pow.f64 c 3)))))))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 (/.f64 (.f64 c a) b_2) -1/2)
(.f64 (.f64 (/.f64 c b_2) a) -1/2)
(neg.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)))))
(neg.f64 (fma.f64 1/2 (/.f64 (.f64 c a) b_2) (.f64 1/8 (/.f64 (.f64 (.f64 a a) (*.f64 c c)) (pow.f64 b_2 3)))))
(+.f64 (.f64 (.f64 (/.f64 c b_2) a) -1/2) (.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a a)) -1/8))
(fma.f64 (.f64 (/.f64 c b_2) a) -1/2 (.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (*.f64 a a)) -1/8))
(neg.f64 (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))))))
(neg.f64 (fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) (fma.f64 1/2 (/.f64 (.f64 c a) b_2) (.f64 1/8 (/.f64 (.f64 (.f64 a a) (*.f64 c c)) (pow.f64 b_2 3))))))
(-.f64 (.f64 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b_2 5) (pow.f64 c 3))) -1/16) (fma.f64 1/2 (.f64 (/.f64 c b_2) a) (.f64 1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a a)))))
(fma.f64 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b_2 5) (pow.f64 c 3))) -1/16 (fma.f64 (.f64 (/.f64 c b_2) a) -1/2 (.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (*.f64 a a)) -1/8)))
(neg.f64 (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (+.f64 (.f64 5/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b_2 7))) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)))))))
(neg.f64 (fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) (fma.f64 1/2 (/.f64 (.f64 c a) b_2) (fma.f64 5/128 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b_2 7) (pow.f64 a 4))) (.f64 1/8 (/.f64 (.f64 (.f64 a a) (*.f64 c c)) (pow.f64 b_2 3)))))))
(-.f64 (.f64 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b_2 5) (pow.f64 c 3))) -1/16) (fma.f64 1/2 (.f64 (/.f64 c b_2) a) (fma.f64 1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a a)) (.f64 5/128 (/.f64 (pow.f64 a 4) (/.f64 (pow.f64 b_2 7) (pow.f64 c 4)))))))
(fma.f64 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b_2 5) (pow.f64 c 3))) -1/16 (-.f64 (.f64 (.f64 (/.f64 c b_2) a) -1/2) (fma.f64 1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a a)) (.f64 5/128 (/.f64 (pow.f64 a 4) (/.f64 (pow.f64 b_2 7) (pow.f64 c 4)))))))
(*.f64 -2 b_2)
(*.f64 b_2 -2)
(-.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (*.f64 2 b_2))
(+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (*.f64 b_2 -2))
(fma.f64 1/2 (.f64 (/.f64 c b_2) a) (.f64 b_2 -2))
(fma.f64 b_2 -2 (.f64 1/2 (.f64 (/.f64 c b_2) a)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)))) (*.f64 2 b_2))
(+.f64 (fma.f64 1/2 (/.f64 (.f64 c a) b_2) (.f64 1/8 (/.f64 (.f64 (.f64 a a) (.f64 c c)) (pow.f64 b_2 3)))) (.f64 b_2 -2))
(fma.f64 1/2 (.f64 (/.f64 c b_2) a) (fma.f64 1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a a)) (*.f64 b_2 -2)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))))) (*.f64 2 b_2))
(+.f64 (fma.f64 1/2 (/.f64 (.f64 c a) b_2) (fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) (.f64 1/8 (/.f64 (.f64 (.f64 a a) (.f64 c c)) (pow.f64 b_2 3))))) (.f64 b_2 -2))
(+.f64 (fma.f64 1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a a)) (.f64 1/16 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b_2 5) (pow.f64 c 3))))) (fma.f64 1/2 (.f64 (/.f64 c b_2) a) (.f64 b_2 -2)))
(fma.f64 b_2 -2 (fma.f64 1/2 (.f64 (/.f64 c b_2) a) (fma.f64 1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a a)) (*.f64 1/16 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b_2 5) (pow.f64 c 3)))))))
(*.f64 -2 b_2)
(*.f64 b_2 -2)
(-.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (*.f64 2 b_2))
(+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (*.f64 b_2 -2))
(fma.f64 1/2 (.f64 (/.f64 c b_2) a) (.f64 b_2 -2))
(fma.f64 b_2 -2 (.f64 1/2 (.f64 (/.f64 c b_2) a)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)))) (*.f64 2 b_2))
(+.f64 (fma.f64 1/2 (/.f64 (.f64 c a) b_2) (.f64 1/8 (/.f64 (.f64 (.f64 a a) (.f64 c c)) (pow.f64 b_2 3)))) (.f64 b_2 -2))
(fma.f64 1/2 (.f64 (/.f64 c b_2) a) (fma.f64 1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a a)) (*.f64 b_2 -2)))
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(+.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) (.f64 (.f64 (/.f64 b_2 (/.f64 c b_2)) (/.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) a)) -1/6))
(fma.f64 (*.f64 (/.f64 b_2 (/.f64 c b_2)) (/.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) a)) -1/6 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))))
(-.f64 (exp.f64 (.f64 1/6 (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c))))) (+.f64 (.f64 1/6 (/.f64 (.f64 (exp.f64 (.f64 1/6 (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c))))) (pow.f64 b_2 2)) (.f64 c a))) (.f64 5/72 (/.f64 (.f64 (exp.f64 (.f64 1/6 (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c))))) (pow.f64 b_2 4)) (*.f64 (pow.f64 c 2) (pow.f64 a 2))))))
(-.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) (fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) (/.f64 (.f64 c a) (.f64 b_2 b_2))) (.f64 5/72 (.f64 (/.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) (.f64 c c)) (/.f64 (pow.f64 b_2 4) (.f64 a a))))))
(-.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) (fma.f64 1/6 (.f64 (/.f64 b_2 (/.f64 c b_2)) (/.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) a)) (.f64 (/.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) (.f64 c c)) (.f64 (/.f64 (pow.f64 b_2 4) (*.f64 a a)) 5/72))))
(-.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) (fma.f64 (/.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) c) (.f64 (/.f64 b_2 (/.f64 a b_2)) 1/6) (.f64 (/.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) (.f64 c c)) (.f64 (/.f64 (pow.f64 b_2 4) (*.f64 a a)) 5/72))))
(-.f64 (exp.f64 (.f64 1/6 (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c))))) (+.f64 (.f64 1/6 (/.f64 (.f64 (exp.f64 (.f64 1/6 (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c))))) (pow.f64 b_2 2)) (.f64 c a))) (+.f64 (.f64 55/1296 (/.f64 (.f64 (exp.f64 (.f64 1/6 (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c))))) (pow.f64 b_2 6)) (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (.f64 5/72 (/.f64 (.f64 (exp.f64 (.f64 1/6 (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c))))) (pow.f64 b_2 4)) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))))))
(-.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) (fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) (/.f64 (.f64 c a) (.f64 b_2 b_2))) (fma.f64 55/1296 (/.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 6))) (.f64 5/72 (.f64 (/.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) (.f64 c c)) (/.f64 (pow.f64 b_2 4) (*.f64 a a)))))))
(-.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) (fma.f64 1/6 (.f64 (/.f64 b_2 (/.f64 c b_2)) (/.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) a)) (fma.f64 5/72 (.f64 (/.f64 (pow.f64 b_2 4) (.f64 a a)) (/.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) (.f64 c c))) (*.f64 55/1296 (/.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 6) (pow.f64 a 3))))))))
(-.f64 (fma.f64 (.f64 (/.f64 b_2 (/.f64 c b_2)) (/.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) a)) -1/6 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c))))) (fma.f64 5/72 (.f64 (/.f64 (pow.f64 b_2 4) (.f64 a a)) (/.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) (.f64 c c))) (*.f64 55/1296 (/.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 6) (pow.f64 a 3)))))))

prune158.0ms (2.5%)

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	238	1	239
Fresh	1	10	11
Picked	0	1	1
Done	0	2	2
Total	239	14	253

Error

4.8b

Counts

253 → 14

Alt Table

Status	Error	Program
✓	31.9b	(/.f64 (-.f64 (neg.f64 b_2) (.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))))) a)
✓	30.3b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	43.6b	(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) 2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))) a)))
	54.2b	(/.f64 (-.f64 (neg.f64 b_2) (.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a))) (cbrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))))) a)
	47.1b	(/.f64 (cbrt.f64 (pow.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) 3)) a)
	52.6b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (pow.f64 (pow.f64 (pow.f64 b_2 2) 1/3) 3))) a)
	43.8b	(/.f64 (.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)))))) a)
	56.5b	(cbrt.f64 (/.f64 (pow.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) 3) (pow.f64 a 3)))
▶	42.2b	(*.f64 -1/2 (/.f64 c b_2))
✓	31.7b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 3))) a)
	44.8b	(-.f64 (.f64 1/2 (/.f64 c b_2)) (.f64 2 (/.f64 b_2 a)))
	44.6b	(*.f64 (/.f64 -2 a) b_2)
	45.5b	(/.f64 (*.f64 (/.f64 a (/.f64 b_2 c)) -1/2) a)
	53.6b	(pow.f64 (sqrt.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)) 2)

Compiler

Compiled 8574 to 3648 computations (57.5% saved)

localize3.0ms (0%)

Local error

Found 1 expressions with local error:

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

series6.0ms (0.1%)

Counts

1 → 0

Calls

6 calls:

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

rewrite33.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

653×	`pow1_binary64`
606×	`add-log-exp_binary64`
606×	`log1p-expm1-u_binary64`
606×	`expm1-log1p-u_binary64`
64×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	127	7
2	1610	7

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

21 → 21

Calls

Call 1

Inputs

Outputs

prune18.0ms (0.3%)

Pruning

16 alts after pruning (13 fresh and 3 done)

	Pruned	Kept	Total
New	17	4	21
Fresh	1	9	10
Picked	1	0	1
Done	0	3	3
Total	19	16	35

Error

4.7b

Counts

35 → 16

Alt Table

Status	Error	Program
✓	31.9b	(/.f64 (-.f64 (neg.f64 b_2) (.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))))) a)
✓	30.3b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	43.6b	(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) 2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))) a)))
	54.2b	(/.f64 (-.f64 (neg.f64 b_2) (.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a))) (cbrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))))) a)
	47.1b	(/.f64 (cbrt.f64 (pow.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) 3)) a)
	52.6b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (pow.f64 (pow.f64 (pow.f64 b_2 2) 1/3) 3))) a)
	43.8b	(/.f64 (.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)))))) a)
	56.5b	(cbrt.f64 (/.f64 (pow.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) 3) (pow.f64 a 3)))
	53.4b	(pow.f64 (pow.f64 (/.f64 (*.f64 -1/2 c) b_2) 3) 1/3)
	53.6b	(pow.f64 (sqrt.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)) 2)
✓	31.7b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 3))) a)
	44.8b	(-.f64 (.f64 1/2 (/.f64 c b_2)) (.f64 2 (/.f64 b_2 a)))
	44.6b	(*.f64 (/.f64 -2 a) b_2)
	42.5b	(pow.f64 (cbrt.f64 (/.f64 (*.f64 -1/2 c) b_2)) 3)
	42.5b	(/.f64 (/.f64 (*.f64 -1/2 c) (pow.f64 (cbrt.f64 b_2) 2)) (cbrt.f64 b_2))
	42.2b	(/.f64 (*.f64 -1/2 c) b_2)

Compiler

Compiled 451 to 301 computations (33.3% saved)

regimes858.0ms (13.7%)

Accuracy

Total 4.4b remaining (42%)

Threshold costs 0b (0%)

Counts

74 → 3

Compiler

Compiled 5512 to 3434 computations (37.7% saved)

bsearch64.0ms (1%)

Algorithm

2×	binary-search

Calls

2 calls:

43.0ms	b_2
20.0ms	b_2

Steps

Iters	Point		Range
2.5e+103	∈ [	5.076714090750809e+98	,	1.1111881848554154e+105	]
-7e-85	∈ [	-2.637236829186473e-84	,	-2.0534911299235077e-93	]

Compiler

Compiled 4 to 3 computations (25% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

10×	`+-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	24	46
1	38	46
2	55	46
3	71	46
4	80	46
5	84	46
6	85	46

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 b_2 -6124302029392433/8749002899132047697490008908470485461412677723572849745703082425639811996797503692894052708092215296) (/.f64 (*.f64 -1/2 c) b_2) (if (<=.f64 b_2 25000000000000000047891877143366718405398878181629800278820087864984483105099718899030903627704508088320) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) (/.f64 (*.f64 b_2 -2) a)))

Outputs

(if (<=.f64 b_2 -6124302029392433/8749002899132047697490008908470485461412677723572849745703082425639811996797503692894052708092215296) (/.f64 (*.f64 -1/2 c) b_2) (if (<=.f64 b_2 25000000000000000047891877143366718405398878181629800278820087864984483105099718899030903627704508088320) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) (/.f64 (*.f64 b_2 -2) a)))

(if (<=.f64 b_2 -6124302029392433/8749002899132047697490008908470485461412677723572849745703082425639811996797503692894052708092215296) (/.f64 (*.f64 -1/2 c) b_2) (if (<=.f64 b_2 25000000000000000047891877143366718405398878181629800278820087864984483105099718899030903627704508088320) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a)))) a) (/.f64 (*.f64 b_2 -2) a)))

end203.0ms (3.2%)

Stop Event

1×

fuel

Compiler

Compiled 357 to 232 computations (35% saved)

Details

analyze780.0ms (12.4%)

sample2.0s (31.1%)

preprocess39.0ms (0.6%)

simplify60.0ms (1%)

prune2.0ms (0%)

localize8.0ms (0.1%)

series184.0ms (2.9%)

rewrite77.0ms (1.2%)

simplify46.0ms (0.7%)

prune167.0ms (2.7%)

localize14.0ms (0.2%)

series924.0ms (14.7%)

rewrite134.0ms (2.1%)

simplify56.0ms (0.9%)

prune231.0ms (3.7%)

localize12.0ms (0.2%)

series117.0ms (1.9%)

rewrite58.0ms (0.9%)

simplify69.0ms (1.1%)

prune158.0ms (2.5%)

localize3.0ms (0%)

series6.0ms (0.1%)

rewrite33.0ms (0.5%)

simplify6.0ms (0.1%)

prune18.0ms (0.3%)

regimes858.0ms (13.7%)

bsearch64.0ms (1%)

simplify4.0ms (0.1%)

end203.0ms (3.2%)

Profiling