Details

analyze563.0ms (4.5%)

Algorithm

1×

Search

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

Compiler

Compiled 17 to 11 computations (35.3% saved)

sample2.2s (17.3%)

Results

776.0ms	5571×	body	256	valid
498.0ms	1139×	body	2048	valid
353.0ms	756×	body	1024	valid
223.0ms	418×	body	4096	valid
213.0ms	1649×	body	256	invalid
87.0ms	372×	body	512	valid

preprocess207.0ms (1.7%)

Algorithm

2×	egg-herbie

Rules

1000×	`fma-def_binary64`
869×	`fma-neg_binary64`
582×	`div-sub_binary64`
515×	`associate-/l*_binary64`
440×	`times-frac_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	1256	80
6	3283	80
7	5846	80
8	6771	80
9	7070	80
10	7143	80
11	7207	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 b_2 b_2 (*.f64 c (neg.f64 a))))) a)
(/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (neg.f64 a))
(/.f64 (-.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 b_2 c)))) b_2)
(/.f64 (+.f64 a (sqrt.f64 (fma.f64 b_2 (neg.f64 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 b_2 b_2 (*.f64 c (neg.f64 a))))) c)
(/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (neg.f64 c))
(/.f64 (-.f64 (neg.f64 c) (sqrt.f64 (-.f64 (.f64 c c) (.f64 a b_2)))) a)
(/.f64 (-.f64 (neg.f64 c) (sqrt.f64 (-.f64 (.f64 c c) (.f64 b_2 a)))) a)
(/.f64 (-.f64 (neg.f64 c) (sqrt.f64 (fma.f64 b_2 (neg.f64 a) (*.f64 c c)))) a)
(/.f64 (-.f64 (neg.f64 c) (sqrt.f64 (fma.f64 c c (*.f64 b_2 (neg.f64 a))))) a)
(/.f64 (+.f64 c (sqrt.f64 (-.f64 (.f64 c c) (.f64 b_2 a)))) (neg.f64 a))

Compiler

Compiled 19 to 13 computations (31.6% saved)

simplify118.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

518×	`div-sub_binary64`
428×	`fma-neg_binary64`
310×	`distribute-rgt-in_binary64`
289×	`distribute-lft-in_binary64`
260×	`distribute-rgt-out_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	394	20
6	664	20
7	1011	20
8	1224	20
9	1611	20
10	3156	20
11	5868	20
12	5966	20
13	5974	20
14	5982	20
15	5982	20
16	6040	20
17	6076	20
18	6106	20
19	6118	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)

eval0.0ms (0%)

Compiler: Compiled 16 to 10 computations (37.5% saved)

prune1.0ms (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

37.1b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	37.1b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Compiler

Compiled 16 to 10 computations (37.5% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
✓	0.8b	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	1.5b	(-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
✓	25.2b	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

Compiler

Compiled 53 to 10 computations (81.1% saved)

series26.0ms (0.2%)

Counts

4 → 96

Calls

36 calls:

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

rewrite128.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

693×	`fma-def_binary64`
645×	`log-prod_binary64`
352×	`fma-neg_binary64`
221×	`pow1/3_binary64`
218×	`expm1-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	59
1	262	55
2	4082	52

Stop Event

1×	node limit

Counts

4 → 381

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

simplify89.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

671×	`fma-def_binary64`
606×	`times-frac_binary64`
583×	`associate-r_binary64`
563×	`fma-neg_binary64`
550×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	151	2181
1	470	2117
2	1570	2070
3	7232	2034

Stop Event

1×	node limit

Counts

477 → 456

Calls

Call 1

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

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

eval134.0ms (1.1%)

Compiler: Compiled 11079 to 3311 computations (70.1% saved)

prune187.0ms (1.5%)

Pruning

23 alts after pruning (22 fresh and 1 done)

	Pruned	Kept	Total
New	434	22	456
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	434	23	457

Error

4.5b

Counts

457 → 23

Alt Table

Click to see full alt table

Status	Error	Program
	60.1b	(cbrt.f64 (/.f64 (pow.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) 3) (pow.f64 a 3)))
▶	37.3b	(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 2)) a)
	39.6b	(fma.f64 (/.f64 -1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 b_2 (cbrt.f64 a)) (neg.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) a)))
	49.4b	(.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (cbrt.f64 a)))
▶	36.7b	(*.f64 -1/2 (/.f64 c b_2))
▶	51.1b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 b_2 b_2))) a)
	53.7b	(/.f64 (fma.f64 -1/8 (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b_2 3))) (fma.f64 -1/2 (/.f64 (.f64 c a) b_2) (/.f64 (pow.f64 (*.f64 c a) 3) (/.f64 (pow.f64 b_2 5) -1/16)))) a)
✓	37.1b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	49.1b	(/.f64 (+.f64 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) b_2) a)
	49.2b	(.f64 (/.f64 1 a) (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))
	55.6b	(/.f64 (-.f64 (neg.f64 b_2) (+.f64 (.f64 -1 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))) a)
	60.4b	(pow.f64 (pow.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a) 3) 1/3)
	47.6b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))) a)
	40.6b	(/.f64 (*.f64 -1/2 (/.f64 a (/.f64 b_2 c))) a)
▶	44.1b	(/.f64 (*.f64 b_2 -2) a)
	42.6b	(fma.f64 -1/2 (/.f64 c b_2) (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (*.f64 a -1/8)))
	55.5b	(/.f64 (-.f64 (neg.f64 b_2) (neg.f64 b_2)) a)
	44.4b	(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
	44.2b	(/.f64 (-.f64 (neg.f64 b_2) (cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2))) a)
	49.1b	(pow.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) -1)
	37.3b	(fma.f64 -1 (/.f64 b_2 a) (neg.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) a)))
▶	49.4b	(pow.f64 (cbrt.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a)) 3)
	57.5b	(exp.f64 (log.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a)))

Compiler

Compiled 754 to 514 computations (31.8% saved)

localize10.0ms (0.1%)

Compiler: Compiled 14 to 7 computations (50% saved)

localize12.0ms (0.1%)

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

localize21.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	30.6b	(sqrt.f64 (*.f64 b_2 b_2))

Compiler

Compiled 30 to 8 computations (73.3% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	b_2	@	inf	(sqrt.f64 (*.f64 b_2 b_2))
0.0ms	b_2	@	0	(sqrt.f64 (*.f64 b_2 b_2))
0.0ms	b_2	@	-inf	(sqrt.f64 (*.f64 b_2 b_2))

rewrite100.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

393×	`log1p-udef_binary64`
281×	`associate-r_binary64`
269×	`associate-l_binary64`
262×	`pow1_binary64`
254×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	1
1	80	1
2	728	1
3	7510	1

Stop Event

1×	node limit

Counts

1 → 58

Calls

Call 1

Inputs
(sqrt.f64 (*.f64 b_2 b_2))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 b_2 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 b_2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 b_2)) 2)) (log.f64 (cbrt.f64 (exp.f64 b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 b_2))) (log.f64 (sqrt.f64 (exp.f64 b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 b_2 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 b_2 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 b_2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 b_2) 2) (cbrt.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 b_2) (sqrt.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 b_2)) 2) (.f64 (cbrt.f64 (cbrt.f64 b_2)) (pow.f64 (cbrt.f64 b_2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 b_2 (cbrt.f64 b_2))) (cbrt.f64 (cbrt.f64 (pow.f64 b_2 5))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 b_2 (cbrt.f64 b_2))) (pow.f64 (cbrt.f64 (pow.f64 b_2 5)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 b_2 (cbrt.f64 b_2))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 b_2)) 2) (cbrt.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (pow.f64 b_2 8))) (cbrt.f64 (cbrt.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 b_2 1/6) (.f64 (pow.f64 b_2 1/6) (pow.f64 (cbrt.f64 b_2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 b_2) (pow.f64 (cbrt.f64 b_2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 b_2 1/4) (sqrt.f64 (pow.f64 b_2 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 b_2 1/4) (pow.f64 (pow.f64 b_2 3/2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 b_2 1/4) (.f64 (pow.f64 b_2 1/4) (sqrt.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 b_2) (pow.f64 b_2 1/4)) (pow.f64 b_2 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 b_2 5/2)) (pow.f64 b_2 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 b_2 3/2)) (pow.f64 b_2 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (pow.f64 b_2 5))) (pow.f64 b_2 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 b_2 3/2) 1/2) (pow.f64 b_2 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (pow.f64 b_2 5)) 1/2) (pow.f64 b_2 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (pow.f64 b_2 8)) 1/3) (cbrt.f64 (cbrt.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 b_2 5/2) 1/3) (pow.f64 b_2 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 b_2) (cbrt.f64 b_2)) (pow.f64 b_2 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 b_2) (cbrt.f64 (.f64 b_2 (cbrt.f64 b_2)))) (pow.f64 (cbrt.f64 (cbrt.f64 b_2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (cbrt.f64 b_2) 2) (pow.f64 (cbrt.f64 (cbrt.f64 b_2)) 2)) (cbrt.f64 (cbrt.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (cbrt.f64 b_2) 2) (pow.f64 b_2 1/6)) (pow.f64 b_2 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 b_2 1) 3) 1) (+.f64 (.f64 (+.f64 b_2 1) (+.f64 b_2 1)) (+.f64 1 (+.f64 b_2 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (+.f64 b_2 1) (+.f64 b_2 1)) 1) (+.f64 (+.f64 b_2 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 b_2 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 b_2 b_2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 b_2 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 b_2 6) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 b_2 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 b_2) 2) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 b_2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/2) (.f64 (log.f64 b_2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 b_2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 b_2)) 2)) (cbrt.f64 (log.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 b_2))) (sqrt.f64 (log.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 b_2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.f64 (neg.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (-.f64 1 (+.f64 b_2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 b_2 3))))) (#(struct:change #<rule egg-rr> (2) ((x . b_2)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 b_2) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 b_2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 b_2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 b_2))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 b_2 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 b_2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 b_2)) 2)) (log.f64 (cbrt.f64 (exp.f64 b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 b_2))) (log.f64 (sqrt.f64 (exp.f64 b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 b_2 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b_2 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 b_2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 b_2) 2) (cbrt.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 b_2) (sqrt.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 b_2)) 2) (*.f64 (cbrt.f64 (cbrt.f64 b_2)) (pow.f64 (cbrt.f64 b_2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 b_2 (cbrt.f64 b_2))) (cbrt.f64 (cbrt.f64 (pow.f64 b_2 5))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 b_2 (cbrt.f64 b_2))) (pow.f64 (cbrt.f64 (pow.f64 b_2 5)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 b_2 (cbrt.f64 b_2))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 b_2)) 2) (cbrt.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 b_2 8))) (cbrt.f64 (cbrt.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 b_2 1/6) (*.f64 (pow.f64 b_2 1/6) (pow.f64 (cbrt.f64 b_2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 b_2) (pow.f64 (cbrt.f64 b_2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 b_2 1/4) (sqrt.f64 (pow.f64 b_2 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 b_2 1/4) (pow.f64 (pow.f64 b_2 3/2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 b_2 1/4) (*.f64 (pow.f64 b_2 1/4) (sqrt.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 b_2) (pow.f64 b_2 1/4)) (pow.f64 b_2 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 b_2 5/2)) (pow.f64 b_2 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 b_2 3/2)) (pow.f64 b_2 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 b_2 5))) (pow.f64 b_2 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 b_2 3/2) 1/2) (pow.f64 b_2 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 b_2 5)) 1/2) (pow.f64 b_2 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 b_2 8)) 1/3) (cbrt.f64 (cbrt.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 b_2 5/2) 1/3) (pow.f64 b_2 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 b_2) (cbrt.f64 b_2)) (pow.f64 b_2 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 b_2) (cbrt.f64 (*.f64 b_2 (cbrt.f64 b_2)))) (pow.f64 (cbrt.f64 (cbrt.f64 b_2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 b_2) 2) (pow.f64 (cbrt.f64 (cbrt.f64 b_2)) 2)) (cbrt.f64 (cbrt.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 b_2) 2) (pow.f64 b_2 1/6)) (pow.f64 b_2 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 b_2 1) 3) 1) (+.f64 (*.f64 (+.f64 b_2 1) (+.f64 b_2 1)) (+.f64 1 (+.f64 b_2 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 b_2 1) (+.f64 b_2 1)) 1) (+.f64 (+.f64 b_2 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 b_2 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 b_2 b_2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 b_2 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 b_2 6) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 b_2 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 b_2) 2) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 b_2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/2) (*.f64 (log.f64 b_2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 b_2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 b_2)) 2)) (cbrt.f64 (log.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 b_2))) (sqrt.f64 (log.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 b_2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.f64 (neg.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (-.f64 1 (+.f64 b_2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 b_2 3))))) (#(struct:change #<rule egg-rr> (2) ((x . b_2)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 b_2) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 b_2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 b_2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 b_2))))))

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`sub-neg_binary64`
2×	`+-commutative_binary64`
2×	`fma-def_binary64`
1×	`*-commutative_binary64`
1×	`associate-+l-_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	20
1	6	20
2	8	20
3	9	20
4	11	20
5	15	20
6	19	20
7	24	20

Stop Event

1×

saturated

Counts

70 → 61

Calls

Call 1

Inputs
b_2
b_2
b_2
b_2
b_2
b_2
b_2
b_2
(*.f64 -1 b_2)
(*.f64 -1 b_2)
(*.f64 -1 b_2)
(*.f64 -1 b_2)

Outputs
b_2
b_2
b_2
b_2
b_2
b_2
b_2
b_2
(*.f64 -1 b_2)
(neg.f64 b_2)
(*.f64 -1 b_2)
(neg.f64 b_2)
(*.f64 -1 b_2)
(neg.f64 b_2)
(*.f64 -1 b_2)
(neg.f64 b_2)

localize57.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 2)
	0.8b	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	11.7b	(-.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 2))
✓	25.9b	(pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4)

Compiler

Compiled 73 to 26 computations (64.4% saved)

series75.0ms (0.6%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
7.0ms	a	@	-inf	(-.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 2))
6.0ms	c	@	inf	(-.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 2))
5.0ms	a	@	-inf	(pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4)
4.0ms	a	@	inf	(-.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 2))
4.0ms	c	@	-inf	(-.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 2))

rewrite129.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

615×	`log-prod_binary64`
613×	`fma-def_binary64`
342×	`pow2_binary64`
291×	`fma-neg_binary64`
232×	`expm1-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	44
1	306	40
2	4065	38

Stop Event

1×	node limit

Counts

3 → 166

Calls

Call 1

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

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (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 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))) (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))) (*.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4)) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/8) (*.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/8) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/8) 3) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))))) (cbrt.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 4) (pow.f64 (*.f64 a c) 2))) (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 6) (pow.f64 (*.f64 a c) 3))) (sqrt.f64 (fma.f64 (*.f64 a c) (fma.f64 b_2 b_2 (*.f64 a c)) (pow.f64 b_2 4))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) (sqrt.f64 (fma.f64 a (neg.f64 c) (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (fma.f64 a (neg.f64 c) (*.f64 a c))) (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))))))))

simplify219.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

791×	`fma-def_binary64`
619×	`associate-r_binary64`
478×	`times-frac_binary64`
460×	`associate-l_binary64`
370×	`associate-/r*_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	590	7850
1	2199	6753

Stop Event

1×	node limit

Counts

274 → 355

Calls

Call 1

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

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

localize32.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a)
✓	0.3b	(pow.f64 (cbrt.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a)) 3)
✓	3.1b	(cbrt.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a))
✓	13.0b	(sqrt.f64 (*.f64 a (neg.f64 c)))

Compiler

Compiled 71 to 13 computations (81.7% saved)

series528.0ms (4.2%)

Counts

4 → 20

Calls

33 calls:

Time	Variable		Point	Expression
85.0ms	a	@	inf	(pow.f64 (cbrt.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a)) 3)
59.0ms	c	@	0	(pow.f64 (cbrt.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a)) 3)
49.0ms	a	@	inf	(cbrt.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a))
46.0ms	a	@	-inf	(pow.f64 (cbrt.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a)) 3)
41.0ms	a	@	0	(cbrt.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a))

rewrite187.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

735×	`prod-diff_binary64`
624×	`log-prod_binary64`
244×	`fma-def_binary64`
218×	`expm1-udef_binary64`
218×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	61
1	293	53
2	3767	53

Stop Event

1×	node limit

Counts

4 → 438

Calls

Call 1

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

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

simplify98.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

688×	`associate-/r*_binary64`
680×	`associate-/l*_binary64`
329×	`associate-r_binary64`
308×	`distribute-lft-in_binary64`
308×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	258	3015
1	795	2644
2	3212	2538

Stop Event

1×	node limit

Counts

458 → 303

Calls

Call 1

Inputs
(.f64 (pow.f64 (/.f64 c a) 1/6) (.f64 (pow.f64 (sqrt.f64 -1) 1/3) (*.f64 (sqrt.f64 1) (cbrt.f64 -1))))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 8)))) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) b_2))) (.f64 (pow.f64 (/.f64 c a) 1/6) (.f64 (pow.f64 (sqrt.f64 -1) 1/3) (.f64 (sqrt.f64 1) (cbrt.f64 -1)))))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (.f64 1 a) (.f64 c (pow.f64 (sqrt.f64 -1) 2))) 1/3) (/.f64 (.f64 (pow.f64 b_2 2) (-.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -1)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 c (pow.f64 a 35))) 1/18) (.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/9) (.f64 (sqrt.f64 1) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))))) (pow.f64 (cbrt.f64 -1) 2)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 8)))) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) b_2))) (.f64 (pow.f64 (/.f64 c a) 1/6) (.f64 (pow.f64 (sqrt.f64 -1) 1/3) (*.f64 (sqrt.f64 1) (cbrt.f64 -1))))))
(+.f64 (.f64 -1/3 (.f64 (/.f64 (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 13))) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) 1/9) (.f64 (sqrt.f64 1) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (-.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -1)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 c (pow.f64 a 35))) 1/18) (.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/9) (.f64 (sqrt.f64 1) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))))))))) (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 8)))) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (pow.f64 b_2 3)) (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (/.f64 (.f64 1 a) (.f64 c (pow.f64 (sqrt.f64 -1) 2))) 1/3))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (.f64 1 a) (.f64 c (pow.f64 (sqrt.f64 -1) 2))) 1/3) (/.f64 (.f64 (pow.f64 b_2 2) (-.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -1)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 c (pow.f64 a 35))) 1/18) (.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/9) (.f64 (sqrt.f64 1) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))))) (pow.f64 (cbrt.f64 -1) 2)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 8)))) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) b_2))) (.f64 (pow.f64 (/.f64 c a) 1/6) (.f64 (pow.f64 (sqrt.f64 -1) 1/3) (.f64 (sqrt.f64 1) (cbrt.f64 -1)))))))
(.f64 -1 (.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (pow.f64 1 1/6) (sqrt.f64 -1))))
(+.f64 (.f64 b_2 (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 1 4))) (pow.f64 a 11)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (.f64 2/3 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 1 4))) (pow.f64 a 11)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 c a)) (.f64 (pow.f64 1 1/6) (sqrt.f64 -1)))))
(+.f64 (.f64 b_2 (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 1 4))) (pow.f64 a 11)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (.f64 2/3 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 1 4))) (pow.f64 a 11)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))))) (+.f64 (.f64 (+.f64 (.f64 (pow.f64 (/.f64 c a) 1/6) (.f64 (.f64 (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 16)))) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (.f64 2/3 (.f64 (pow.f64 (/.f64 a c) 1/6) (.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/3) (.f64 (sqrt.f64 1) (/.f64 (-.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -1)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 c (pow.f64 a 35))) 1/18) (.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/9) (.f64 (sqrt.f64 1) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))))) (cbrt.f64 -1))))))) (cbrt.f64 -1)) (.f64 (pow.f64 (sqrt.f64 -1) 1/3) (sqrt.f64 1)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -1)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 c (pow.f64 a 35))) 1/18) (.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/9) (.f64 (sqrt.f64 1) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))))))) (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (.f64 c (pow.f64 a 35))) 1/18) (.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/9) (.f64 (sqrt.f64 1) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))))) (pow.f64 b_2 2)) (.f64 -1 (.f64 (sqrt.f64 (/.f64 c a)) (.f64 (pow.f64 1 1/6) (sqrt.f64 -1))))))
(+.f64 (.f64 b_2 (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 1 4))) (pow.f64 a 11)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (.f64 2/3 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 1 4))) (pow.f64 a 11)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))))) (+.f64 (.f64 (+.f64 (.f64 (pow.f64 (/.f64 c a) 1/6) (.f64 (.f64 (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 16)))) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (.f64 2/3 (.f64 (pow.f64 (/.f64 a c) 1/6) (.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/3) (.f64 (sqrt.f64 1) (/.f64 (-.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -1)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 c (pow.f64 a 35))) 1/18) (.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/9) (.f64 (sqrt.f64 1) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))))) (cbrt.f64 -1))))))) (cbrt.f64 -1)) (.f64 (pow.f64 (sqrt.f64 -1) 1/3) (sqrt.f64 1)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -1)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 c (pow.f64 a 35))) 1/18) (.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/9) (.f64 (sqrt.f64 1) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))))))) (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (.f64 c (pow.f64 a 35))) 1/18) (.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/9) (.f64 (sqrt.f64 1) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))))) (pow.f64 b_2 2)) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 c a)) (.f64 (pow.f64 1 1/6) (sqrt.f64 -1)))) (.f64 (+.f64 (.f64 -1/3 (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 13))) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) 1/9) (.f64 (sqrt.f64 1) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (-.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -1)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 c (pow.f64 a 35))) 1/18) (.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/9) (.f64 (sqrt.f64 1) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))))))))) (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 8)))) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (pow.f64 1 1/3))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 8)))) 1/9) (.f64 (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 16)))) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (.f64 2/3 (.f64 (pow.f64 (/.f64 a c) 1/6) (.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/3) (.f64 (sqrt.f64 1) (/.f64 (-.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -1)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 c (pow.f64 a 35))) 1/18) (.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/9) (.f64 (sqrt.f64 1) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))))) (cbrt.f64 -1))))))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3)))) (+.f64 (.f64 (.f64 (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 c 4) (.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 a 5)))) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 8)) 1/3) (-.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -1)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 c (pow.f64 a 35))) 1/18) (.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/9) (.f64 (sqrt.f64 1) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))))))) (.f64 -2/3 (.f64 (pow.f64 (/.f64 a c) 1/6) (.f64 (/.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 13))) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) 1/9) (.f64 (sqrt.f64 1) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (-.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -1)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 c (pow.f64 a 35))) 1/18) (.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/9) (.f64 (sqrt.f64 1) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))))))))) (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 8)))) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (cbrt.f64 -1)) (.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/3) (sqrt.f64 1)))))) (cbrt.f64 -1)) (.f64 (pow.f64 (/.f64 c a) 1/6) (.f64 (pow.f64 (sqrt.f64 -1) 1/3) (sqrt.f64 1)))) (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 13))) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) 1/9) (.f64 (sqrt.f64 1) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (-.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -1)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 c (pow.f64 a 35))) 1/18) (.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/9) (*.f64 (sqrt.f64 1) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))))))))))))) (pow.f64 b_2 3)))))
(.f64 -1 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)))
(+.f64 (/.f64 b_2 a) (.f64 -1 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))))
(+.f64 (/.f64 b_2 a) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (.f64 -1 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)))))
(+.f64 (/.f64 b_2 a) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))) (.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))))))
(.f64 -1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 2))) (pow.f64 b_2 5)))))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2)))) 2) (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 a 4))))) (.f64 a (pow.f64 b_2 7)))) (+.f64 (.f64 -1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 2))) (pow.f64 b_2 5))))))
(*.f64 2 (/.f64 b_2 a))
(+.f64 (.f64 2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)))
(+.f64 (.f64 2 (/.f64 b_2 a)) (+.f64 (.f64 1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3)))))
(+.f64 (.f64 2 (/.f64 b_2 a)) (+.f64 (.f64 1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 2))) (pow.f64 b_2 5))))))

Outputs
(.f64 (pow.f64 (/.f64 c a) 1/6) (.f64 (pow.f64 (sqrt.f64 -1) 1/3) (*.f64 (sqrt.f64 1) (cbrt.f64 -1))))
(.f64 (pow.f64 (/.f64 c a) 1/6) (.f64 (cbrt.f64 -1) (cbrt.f64 (sqrt.f64 -1))))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 8)))) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) b_2))) (.f64 (pow.f64 (/.f64 c a) 1/6) (.f64 (pow.f64 (sqrt.f64 -1) 1/3) (.f64 (sqrt.f64 1) (cbrt.f64 -1)))))
(fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 8)))) 1/18) (pow.f64 (/.f64 1 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 8)))) 1/18)) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) b_2)) (.f64 (pow.f64 (/.f64 c a) 1/6) (*.f64 (cbrt.f64 -1) (cbrt.f64 (sqrt.f64 -1)))))
(fma.f64 (pow.f64 (/.f64 c a) 1/6) (.f64 (cbrt.f64 -1) (cbrt.f64 (sqrt.f64 -1))) (.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 -1 (.f64 (pow.f64 a 8) c))) 1/18) (pow.f64 (/.f64 1 (.f64 -1 (.f64 (pow.f64 a 8) c))) 1/18)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) b_2))))
(fma.f64 (pow.f64 (/.f64 c a) 1/6) (.f64 (cbrt.f64 -1) (cbrt.f64 (sqrt.f64 -1))) (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) b_2) (.f64 1/3 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 a 8) c)) 1/18) (pow.f64 (/.f64 -1 (*.f64 (pow.f64 a 8) c)) 1/18)))))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (.f64 1 a) (.f64 c (pow.f64 (sqrt.f64 -1) 2))) 1/3) (/.f64 (.f64 (pow.f64 b_2 2) (-.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -1)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 c (pow.f64 a 35))) 1/18) (.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/9) (.f64 (sqrt.f64 1) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))))) (pow.f64 (cbrt.f64 -1) 2)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 8)))) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) b_2))) (.f64 (pow.f64 (/.f64 c a) 1/6) (.f64 (pow.f64 (sqrt.f64 -1) 1/3) (*.f64 (sqrt.f64 1) (cbrt.f64 -1))))))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 (/.f64 a c) (pow.f64 (sqrt.f64 -1) 2))) (/.f64 (.f64 (.f64 b_2 b_2) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -1)))) (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (.f64 c (pow.f64 a 35))) 1/18) (.f64 (.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18) (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))))))) (pow.f64 (cbrt.f64 -1) 2))) (fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 8)))) 1/18) (pow.f64 (/.f64 1 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 8)))) 1/18)) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) b_2)) (.f64 (pow.f64 (/.f64 c a) 1/6) (.f64 (cbrt.f64 -1) (cbrt.f64 (sqrt.f64 -1))))))
(fma.f64 1/3 (.f64 (cbrt.f64 (.f64 -1 (/.f64 a c))) (.f64 (/.f64 (.f64 b_2 b_2) (pow.f64 (cbrt.f64 -1) 2)) (fma.f64 -1/2 (/.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (sqrt.f64 -1)) (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 c (pow.f64 a 35))) 1/18) (.f64 (.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18) (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) -1/3)))) (fma.f64 (pow.f64 (/.f64 c a) 1/6) (.f64 (cbrt.f64 -1) (cbrt.f64 (sqrt.f64 -1))) (.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 -1 (.f64 (pow.f64 a 8) c))) 1/18) (pow.f64 (/.f64 1 (.f64 -1 (.f64 (pow.f64 a 8) c))) 1/18)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) b_2)))))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 a (neg.f64 c))) (.f64 (/.f64 (.f64 b_2 b_2) (pow.f64 (cbrt.f64 -1) 2)) (fma.f64 -1/2 (/.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 a 3)) c)) (sqrt.f64 -1)) (.f64 (.f64 (.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18) (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) (.f64 (pow.f64 (/.f64 (/.f64 1 c) (pow.f64 a 35)) 1/18) -1/3))))) (fma.f64 (pow.f64 (/.f64 c a) 1/6) (.f64 (cbrt.f64 -1) (cbrt.f64 (sqrt.f64 -1))) (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) b_2) (.f64 1/3 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 a 8) c)) 1/18) (pow.f64 (/.f64 -1 (.f64 (pow.f64 a 8) c)) 1/18))))))
(+.f64 (.f64 -1/3 (.f64 (/.f64 (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 13))) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) 1/9) (.f64 (sqrt.f64 1) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (-.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -1)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 c (pow.f64 a 35))) 1/18) (.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/9) (.f64 (sqrt.f64 1) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))))))))) (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 8)))) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (pow.f64 b_2 3)) (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (/.f64 (.f64 1 a) (.f64 c (pow.f64 (sqrt.f64 -1) 2))) 1/3))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (.f64 1 a) (.f64 c (pow.f64 (sqrt.f64 -1) 2))) 1/3) (/.f64 (.f64 (pow.f64 b_2 2) (-.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -1)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 c (pow.f64 a 35))) 1/18) (.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/9) (.f64 (sqrt.f64 1) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))))) (pow.f64 (cbrt.f64 -1) 2)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 8)))) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) b_2))) (.f64 (pow.f64 (/.f64 c a) 1/6) (.f64 (pow.f64 (sqrt.f64 -1) 1/3) (.f64 (sqrt.f64 1) (cbrt.f64 -1)))))))
(fma.f64 -1/3 (.f64 (cbrt.f64 (/.f64 (/.f64 a c) (pow.f64 (sqrt.f64 -1) 2))) (/.f64 (fma.f64 2/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 13))) 1/18) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) 1/18)) (.f64 (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -1)))) (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (.f64 c (pow.f64 a 35))) 1/18) (.f64 (.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18) (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)))))) (.f64 1/27 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) (cbrt.f64 (/.f64 1 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 8)))))))) (/.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 b_2 3)))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 (/.f64 a c) (pow.f64 (sqrt.f64 -1) 2))) (/.f64 (.f64 (.f64 b_2 b_2) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -1)))) (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (.f64 c (pow.f64 a 35))) 1/18) (.f64 (.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18) (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))))))) (pow.f64 (cbrt.f64 -1) 2))) (fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 8)))) 1/18) (pow.f64 (/.f64 1 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 8)))) 1/18)) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) b_2)) (.f64 (pow.f64 (/.f64 c a) 1/6) (.f64 (cbrt.f64 -1) (cbrt.f64 (sqrt.f64 -1)))))))
(fma.f64 -1/3 (/.f64 (.f64 (fma.f64 2/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 13))) 1/18) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) 1/18)) (.f64 (fma.f64 -1/2 (/.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (sqrt.f64 -1)) (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 c (pow.f64 a 35))) 1/18) (.f64 (.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18) (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) -1/3)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)))))) (.f64 1/27 (/.f64 (cbrt.f64 (/.f64 1 (.f64 -1 (.f64 (pow.f64 a 8) c)))) (pow.f64 (cbrt.f64 -1) 2)))) (cbrt.f64 (.f64 -1 (/.f64 a c)))) (/.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 b_2 3))) (fma.f64 1/3 (.f64 (cbrt.f64 (.f64 -1 (/.f64 a c))) (.f64 (/.f64 (.f64 b_2 b_2) (pow.f64 (cbrt.f64 -1) 2)) (fma.f64 -1/2 (/.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (sqrt.f64 -1)) (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 c (pow.f64 a 35))) 1/18) (.f64 (.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18) (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) -1/3)))) (fma.f64 (pow.f64 (/.f64 c a) 1/6) (.f64 (cbrt.f64 -1) (cbrt.f64 (sqrt.f64 -1))) (.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 -1 (.f64 (pow.f64 a 8) c))) 1/18) (pow.f64 (/.f64 1 (.f64 -1 (.f64 (pow.f64 a 8) c))) 1/18)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) b_2))))))
(+.f64 (fma.f64 (pow.f64 (/.f64 c a) 1/6) (.f64 (cbrt.f64 -1) (cbrt.f64 (sqrt.f64 -1))) (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) b_2) (.f64 1/3 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 a 8) c)) 1/18) (pow.f64 (/.f64 -1 (.f64 (pow.f64 a 8) c)) 1/18))))) (.f64 (cbrt.f64 (/.f64 a (neg.f64 c))) (+.f64 (.f64 1/3 (.f64 (/.f64 (.f64 b_2 b_2) (pow.f64 (cbrt.f64 -1) 2)) (fma.f64 -1/2 (/.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 a 3)) c)) (sqrt.f64 -1)) (.f64 (.f64 (.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18) (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) (.f64 (pow.f64 (/.f64 (/.f64 1 c) (pow.f64 a 35)) 1/18) -1/3))))) (.f64 (/.f64 (.f64 -1/3 (fma.f64 (.f64 2/3 (pow.f64 (/.f64 (/.f64 1 (pow.f64 c 5)) (pow.f64 a 13)) 1/18)) (.f64 (fma.f64 -1/2 (/.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 a 3)) c)) (sqrt.f64 -1)) (.f64 (.f64 (.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18) (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) (.f64 (pow.f64 (/.f64 (/.f64 1 c) (pow.f64 a 35)) 1/18) -1/3))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))) (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) 1/18)))) (.f64 1/27 (/.f64 (cbrt.f64 (/.f64 -1 (*.f64 (pow.f64 a 8) c))) (pow.f64 (cbrt.f64 -1) 2))))) (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 b_2 3)))))
(.f64 -1 (.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (pow.f64 1 1/6) (sqrt.f64 -1))))
(neg.f64 (.f64 (sqrt.f64 (/.f64 c a)) (.f64 (sqrt.f64 -1) 1)))
(*.f64 (sqrt.f64 -1) (neg.f64 (sqrt.f64 (/.f64 c a))))
(+.f64 (.f64 b_2 (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 1 4))) (pow.f64 a 11)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (.f64 2/3 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 1 4))) (pow.f64 a 11)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 c a)) (.f64 (pow.f64 1 1/6) (sqrt.f64 -1)))))
(fma.f64 b_2 (.f64 (.f64 (.f64 (pow.f64 (/.f64 (.f64 (.f64 c c) (pow.f64 (sqrt.f64 -1) 4)) (pow.f64 a 11)) 1/18) (pow.f64 (/.f64 (.f64 (.f64 c c) (pow.f64 (sqrt.f64 -1) 4)) (pow.f64 a 11)) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4))) 1) (neg.f64 (.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -1) 1))))
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(+.f64 (/.f64 b_2 a) (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (.f64 b_2 b_2) (sqrt.f64 -1))) (neg.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 c a))))))
(+.f64 (/.f64 b_2 a) (-.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2)))) (.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 c a)))))
(+.f64 (-.f64 (/.f64 b_2 a) (.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 c a)))) (.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 a 3)) c)) (*.f64 (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2)) -1/2)))
(+.f64 (/.f64 b_2 a) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))) (.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))))))
(+.f64 (/.f64 b_2 a) (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (.f64 b_2 b_2) (sqrt.f64 -1))) (fma.f64 -1 (.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 c a))) (.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 a 5) (pow.f64 c 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))))))
(+.f64 (/.f64 b_2 a) (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2))) (-.f64 (.f64 1/8 (.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 a 5)) (pow.f64 c 3))) (/.f64 (pow.f64 b_2 4) (.f64 -1 (sqrt.f64 -1))))) (.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 c a))))))
(+.f64 (/.f64 b_2 a) (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 a 3)) c)) (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2))) (fma.f64 1/8 (/.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 a 5)) (pow.f64 c 3))) (pow.f64 b_2 4)) (neg.f64 (sqrt.f64 -1))) (*.f64 (sqrt.f64 -1) (neg.f64 (sqrt.f64 (/.f64 c a)))))))
(.f64 -1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))))
(/.f64 (*.f64 1/2 c) b_2)
(/.f64 1/2 (/.f64 b_2 c))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)))
(fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a (pow.f64 (sqrt.f64 -1) 4)))) (*.f64 -1/2 (/.f64 c (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2)))))
(fma.f64 1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) a) (/.f64 (*.f64 1/2 c) b_2))
(fma.f64 1/8 (*.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) c)) a) (/.f64 1/2 (/.f64 b_2 c)))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 2))) (pow.f64 b_2 5)))))
(fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a (pow.f64 (sqrt.f64 -1) 4)))) (fma.f64 -1/2 (/.f64 c (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))) (.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (.f64 (pow.f64 (sqrt.f64 -1) 6) (*.f64 a a)))))))
(fma.f64 1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) a) (fma.f64 -1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (.f64 -1 (.f64 a a))) (/.f64 (.f64 1/2 c) b_2)))
(fma.f64 1/8 (.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) c)) a) (fma.f64 -1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (*.f64 (neg.f64 a) a)) (/.f64 1/2 (/.f64 b_2 c))))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2)))) 2) (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 a 4))))) (.f64 a (pow.f64 b_2 7)))) (+.f64 (.f64 -1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 2))) (pow.f64 b_2 5))))))
(fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a (pow.f64 (sqrt.f64 -1) 4)))) (fma.f64 1/2 (/.f64 (+.f64 (pow.f64 (.f64 -1/8 (.f64 (.f64 c c) (.f64 (pow.f64 (sqrt.f64 -1) 4) (.f64 a a)))) 2) (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 a 4))))) (.f64 a (pow.f64 b_2 7))) (fma.f64 -1/2 (/.f64 c (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))) (.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (.f64 (pow.f64 (sqrt.f64 -1) 6) (.f64 a a))))))))
(fma.f64 1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) a) (fma.f64 1/2 (/.f64 (fma.f64 1/16 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 (.f64 (.f64 c c) (.f64 (.f64 a a) -1/8)) 2)) (.f64 a (pow.f64 b_2 7))) (fma.f64 -1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (.f64 -1 (.f64 a a))) (/.f64 (.f64 1/2 c) b_2))))
(fma.f64 1/8 (.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) c)) a) (fma.f64 1/2 (/.f64 (.f64 (pow.f64 a 4) (+.f64 (.f64 (pow.f64 c 4) 1/64) (.f64 (pow.f64 c 4) 1/16))) (.f64 a (pow.f64 b_2 7))) (fma.f64 -1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (*.f64 (neg.f64 a) a)) (/.f64 1/2 (/.f64 b_2 c)))))
(*.f64 2 (/.f64 b_2 a))
(+.f64 (.f64 2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)))
(fma.f64 2 (/.f64 b_2 a) (*.f64 (/.f64 c (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))) 1/2))
(fma.f64 2 (/.f64 b_2 a) (/.f64 (*.f64 -1/2 c) b_2))
(fma.f64 2 (/.f64 b_2 a) (/.f64 -1/2 (/.f64 b_2 c)))
(+.f64 (.f64 2 (/.f64 b_2 a)) (+.f64 (.f64 1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3)))))
(fma.f64 2 (/.f64 b_2 a) (fma.f64 1/2 (/.f64 c (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))) (.f64 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a (pow.f64 (sqrt.f64 -1) 4)))) -1/8)))
(fma.f64 2 (/.f64 b_2 a) (fma.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) a) -1/8 (/.f64 (*.f64 -1/2 c) b_2)))
(fma.f64 2 (/.f64 b_2 a) (fma.f64 (*.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) c)) a) -1/8 (/.f64 -1/2 (/.f64 b_2 c))))
(+.f64 (.f64 2 (/.f64 b_2 a)) (+.f64 (.f64 1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 2))) (pow.f64 b_2 5))))))
(fma.f64 2 (/.f64 b_2 a) (fma.f64 1/2 (/.f64 c (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))) (fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a (pow.f64 (sqrt.f64 -1) 4)))) (.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (.f64 (pow.f64 (sqrt.f64 -1) 6) (*.f64 a a)))) 1/16))))
(+.f64 (fma.f64 2 (/.f64 b_2 a) (/.f64 (.f64 -1/2 c) b_2)) (fma.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) a) -1/8 (.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (.f64 -1 (*.f64 a a))) 1/16)))
(+.f64 (fma.f64 2 (/.f64 b_2 a) (/.f64 -1/2 (/.f64 b_2 c))) (fma.f64 (.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) c)) a) -1/8 (.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (.f64 (neg.f64 a) a)) 1/16)))

eval532.0ms (4.3%)

Compiler: Compiled 36430 to 16695 computations (54.2% saved)

prune175.0ms (1.4%)

Pruning

31 alts after pruning (27 fresh and 4 done)

	Pruned	Kept	Total
New	888	18	906
Fresh	8	9	17
Picked	1	0	1
Done	1	4	5
Total	898	31	929

Error

0.7b

Counts

929 → 31

Alt Table

Click to see full alt table

Status	Error	Program
	49.7b	(/.f64 (.f64 (-.f64 (.f64 b_2 b_2) (-.f64 (.f64 b_2 b_2) (.f64 a c))) (/.f64 1 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))))) a)
✓	36.7b	(*.f64 -1/2 (/.f64 c b_2))
	55.9b	(/.f64 (-.f64 (neg.f64 (pow.f64 (exp.f64 1/4) (*.f64 2 (+.f64 (log.f64 (neg.f64 a)) (log.f64 c))))) b_2) a)
▶	55.5b	(/.f64 0 a)
	55.9b	(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 a)) (log.f64 c))) 2)) a)
	55.4b	(/.f64 (-.f64 (neg.f64 b_2) (-.f64 (.f64 1/2 (.f64 (/.f64 c b_2) a)) b_2)) a)
	55.5b	(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2)) a)
✓	51.1b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 b_2 b_2))) a)
	53.7b	(/.f64 (fma.f64 -1/8 (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b_2 3))) (fma.f64 -1/2 (/.f64 (.f64 c a) b_2) (/.f64 (pow.f64 (*.f64 c a) 3) (/.f64 (pow.f64 b_2 5) -1/16)))) a)
	46.6b	(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (E.f64) (log.f64 b_2))) a)
	62.7b	(pow.f64 (cbrt.f64 (fma.f64 2 (/.f64 b_2 a) (/.f64 -1/2 (/.f64 b_2 c)))) 3)
	46.5b	(/.f64 (-.f64 (neg.f64 b_2) (exp.f64 (*.f64 (log.f64 (cbrt.f64 b_2)) 3))) a)
✓	37.1b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	49.2b	(.f64 (/.f64 1 a) (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))
	46.4b	(/.f64 (-.f64 (neg.f64 b_2) (exp.f64 (log.f64 b_2))) a)
	59.0b	(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (pow.f64 b_2 6) 1/6)) a)
▶	49.1b	(pow.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) -1)
	53.8b	(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a))) 2)) a)
▶	37.3b	(fma.f64 -1 (/.f64 b_2 a) (neg.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) a)))
	63.4b	(/.f64 (-.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)) a)
	53.4b	(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) 2)) a)
	59.2b	(/.f64 (neg.f64 b_2) a)
	47.6b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))) a)
	40.6b	(/.f64 (*.f64 -1/2 (/.f64 a (/.f64 b_2 c))) a)
✓	44.1b	(/.f64 (*.f64 b_2 -2) a)
	42.6b	(fma.f64 -1/2 (/.f64 c b_2) (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (*.f64 a -1/8)))
	60.1b	(cbrt.f64 (/.f64 (pow.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) 3) (pow.f64 a 3)))
	62.4b	(pow.f64 (cbrt.f64 (*.f64 2 (/.f64 b_2 a))) 3)
▶	47.7b	(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (*.f64 c (neg.f64 a)) 1/4) 2)) a)
	44.4b	(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
▶	51.8b	(/.f64 (+.f64 (/.f64 -1/8 (/.f64 (pow.f64 b_2 4) (.f64 b_2 (.f64 c (.f64 c (.f64 a a)))))) (+.f64 0 (.f64 (.f64 (/.f64 c b_2) a) -1/2))) a)

Compiler

Compiled 964 to 688 computations (28.6% saved)

localize28.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) a)
✓	2.9b	(fma.f64 -1 (/.f64 b_2 a) (neg.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) a)))
	13.0b	(sqrt.f64 (*.f64 a (neg.f64 c)))

Compiler

Compiled 62 to 13 computations (79% saved)

series20.0ms (0.2%)

Counts

2 → 28

Calls

18 calls:

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

rewrite129.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

603×	`log-prod_binary64`
468×	`prod-diff_binary64`
296×	`pow2_binary64`
260×	`pow-unpow_binary64`
209×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	37
1	271	31
2	3564	31

Stop Event

1×	node limit

Counts

2 → 227

Calls

Call 1

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

Outputs

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

simplify68.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

661×	`associate-r_binary64`
612×	`associate-l_binary64`
532×	`fma-neg_binary64`
494×	`times-frac_binary64`
445×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	128	1075
1	385	891
2	1379	827
3	6855	825

Stop Event

1×	node limit

Counts

255 → 275

Calls

Call 1

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

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

localize4.0ms (0%)

Compiler: Compiled 8 to 6 computations (25% saved)

localize44.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	5.9b	(.f64 c (.f64 a a))
✓	6.2b	(/.f64 (+.f64 (/.f64 -1/8 (/.f64 (pow.f64 b_2 4) (.f64 b_2 (.f64 c (.f64 c (.f64 a a)))))) (+.f64 0 (.f64 (.f64 (/.f64 c b_2) a) -1/2))) a)
✓	6.2b	(*.f64 (/.f64 c b_2) a)
✓	26.0b	(/.f64 (pow.f64 b_2 4) (.f64 b_2 (.f64 c (.f64 c (.f64 a a)))))

Compiler

Compiled 141 to 50 computations (64.5% saved)

series36.0ms (0.3%)

Counts

4 → 132

Calls

33 calls:

Time	Variable		Point	Expression
11.0ms	a	@	inf	(*.f64 (/.f64 c b_2) a)
2.0ms	b_2	@	0	(/.f64 (pow.f64 b_2 4) (.f64 b_2 (.f64 c (.f64 c (.f64 a a)))))
1.0ms	b_2	@	0	(/.f64 (+.f64 (/.f64 -1/8 (/.f64 (pow.f64 b_2 4) (.f64 b_2 (.f64 c (.f64 c (.f64 a a)))))) (+.f64 0 (.f64 (.f64 (/.f64 c b_2) a) -1/2))) a)
1.0ms	c	@	0	(/.f64 (pow.f64 b_2 4) (.f64 b_2 (.f64 c (.f64 c (.f64 a a)))))
1.0ms	a	@	0	(/.f64 (pow.f64 b_2 4) (.f64 b_2 (.f64 c (.f64 c (.f64 a a)))))

rewrite90.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

375×	`expm1-udef_binary64`
375×	`log1p-udef_binary64`
316×	`fma-neg_binary64`
225×	`add-sqr-sqrt_binary64`
220×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	70
1	482	56
2	6766	56

Stop Event

1×	node limit

Counts

4 → 116

Calls

Call 1

Inputs
(/.f64 (pow.f64 b_2 4) (.f64 b_2 (.f64 c (.f64 c (.f64 a a)))))
(*.f64 (/.f64 c b_2) a)
(/.f64 (+.f64 (/.f64 -1/8 (/.f64 (pow.f64 b_2 4) (.f64 b_2 (.f64 c (.f64 c (.f64 a a)))))) (+.f64 0 (.f64 (.f64 (/.f64 c b_2) a) -1/2))) a)
(.f64 c (.f64 a a))

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

simplify231.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

762×	`associate-/l*_binary64`
563×	`sqr-pow_binary64`
468×	`unswap-sqr_binary64`
454×	`associate-/r*_binary64`
301×	`associate-l_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	22	1725
1	55	1725
2	168	1725
3	744	1725
4	4805	1698
5	5808	1644
6	5973	1644
7	6233	1644
8	6411	1644
9	6590	1644
10	6801	1644
11	7041	1644
12	7323	1644
13	7647	1644

Stop Event

1×	node limit

Counts

248 → 126

Calls

Call 1

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

Outputs
(/.f64 (pow.f64 b_2 3) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))
(/.f64 (pow.f64 b_2 3) (.f64 (.f64 c c) (*.f64 a a)))
(/.f64 (pow.f64 b_2 3) (.f64 c (.f64 c (*.f64 a a))))
(/.f64 (pow.f64 b_2 3) (.f64 (.f64 c a) (*.f64 c a)))
(/.f64 (/.f64 (pow.f64 b_2 3) a) (.f64 (.f64 c c) a))
(/.f64 (pow.f64 b_2 3) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))
(/.f64 (pow.f64 b_2 3) (.f64 (.f64 c c) (*.f64 a a)))
(/.f64 (pow.f64 b_2 3) (.f64 c (.f64 c (*.f64 a a))))
(/.f64 (pow.f64 b_2 3) (.f64 (.f64 c a) (*.f64 c a)))
(/.f64 (/.f64 (pow.f64 b_2 3) a) (.f64 (.f64 c c) a))
(/.f64 (pow.f64 b_2 3) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))
(/.f64 (pow.f64 b_2 3) (.f64 (.f64 c c) (*.f64 a a)))
(/.f64 (pow.f64 b_2 3) (.f64 c (.f64 c (*.f64 a a))))
(/.f64 (pow.f64 b_2 3) (.f64 (.f64 c a) (*.f64 c a)))
(/.f64 (/.f64 (pow.f64 b_2 3) a) (.f64 (.f64 c c) a))
(/.f64 (pow.f64 b_2 3) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))
(/.f64 (pow.f64 b_2 3) (.f64 (.f64 c c) (*.f64 a a)))
(/.f64 (pow.f64 b_2 3) (.f64 c (.f64 c (*.f64 a a))))
(/.f64 (pow.f64 b_2 3) (.f64 (.f64 c a) (*.f64 c a)))
(/.f64 (/.f64 (pow.f64 b_2 3) a) (.f64 (.f64 c c) a))
(/.f64 (pow.f64 b_2 3) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))
(/.f64 (pow.f64 b_2 3) (.f64 (.f64 c c) (*.f64 a a)))
(/.f64 (pow.f64 b_2 3) (.f64 c (.f64 c (*.f64 a a))))
(/.f64 (pow.f64 b_2 3) (.f64 (.f64 c a) (*.f64 c a)))
(/.f64 (/.f64 (pow.f64 b_2 3) a) (.f64 (.f64 c c) a))
(/.f64 (pow.f64 b_2 3) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))
(/.f64 (pow.f64 b_2 3) (.f64 (.f64 c c) (*.f64 a a)))
(/.f64 (pow.f64 b_2 3) (.f64 c (.f64 c (*.f64 a a))))
(/.f64 (pow.f64 b_2 3) (.f64 (.f64 c a) (*.f64 c a)))
(/.f64 (/.f64 (pow.f64 b_2 3) a) (.f64 (.f64 c c) a))
(/.f64 (pow.f64 b_2 3) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))
(/.f64 (pow.f64 b_2 3) (.f64 (.f64 c c) (*.f64 a a)))
(/.f64 (pow.f64 b_2 3) (.f64 c (.f64 c (*.f64 a a))))
(/.f64 (pow.f64 b_2 3) (.f64 (.f64 c a) (*.f64 c a)))
(/.f64 (/.f64 (pow.f64 b_2 3) a) (.f64 (.f64 c c) a))
(/.f64 (pow.f64 b_2 3) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))
(/.f64 (pow.f64 b_2 3) (.f64 (.f64 c c) (*.f64 a a)))
(/.f64 (pow.f64 b_2 3) (.f64 c (.f64 c (*.f64 a a))))
(/.f64 (pow.f64 b_2 3) (.f64 (.f64 c a) (*.f64 c a)))
(/.f64 (/.f64 (pow.f64 b_2 3) a) (.f64 (.f64 c c) a))
(/.f64 (pow.f64 b_2 3) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))
(/.f64 (pow.f64 b_2 3) (.f64 (.f64 c c) (*.f64 a a)))
(/.f64 (pow.f64 b_2 3) (.f64 c (.f64 c (*.f64 a a))))
(/.f64 (pow.f64 b_2 3) (.f64 (.f64 c a) (*.f64 c a)))
(/.f64 (/.f64 (pow.f64 b_2 3) a) (.f64 (.f64 c c) a))
(/.f64 (pow.f64 b_2 3) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))
(/.f64 (pow.f64 b_2 3) (.f64 (.f64 c c) (*.f64 a a)))
(/.f64 (pow.f64 b_2 3) (.f64 c (.f64 c (*.f64 a a))))
(/.f64 (pow.f64 b_2 3) (.f64 (.f64 c a) (*.f64 c a)))
(/.f64 (/.f64 (pow.f64 b_2 3) a) (.f64 (.f64 c c) a))
(/.f64 (pow.f64 b_2 3) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))
(/.f64 (pow.f64 b_2 3) (.f64 (.f64 c c) (*.f64 a a)))
(/.f64 (pow.f64 b_2 3) (.f64 c (.f64 c (*.f64 a a))))
(/.f64 (pow.f64 b_2 3) (.f64 (.f64 c a) (*.f64 c a)))
(/.f64 (/.f64 (pow.f64 b_2 3) a) (.f64 (.f64 c c) a))
(/.f64 (pow.f64 b_2 3) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))
(/.f64 (pow.f64 b_2 3) (.f64 (.f64 c c) (*.f64 a a)))
(/.f64 (pow.f64 b_2 3) (.f64 c (.f64 c (*.f64 a a))))
(/.f64 (pow.f64 b_2 3) (.f64 (.f64 c a) (*.f64 c a)))
(/.f64 (/.f64 (pow.f64 b_2 3) a) (.f64 (.f64 c c) a))
(/.f64 (pow.f64 b_2 3) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))
(/.f64 (pow.f64 b_2 3) (.f64 (.f64 c c) (*.f64 a a)))
(/.f64 (pow.f64 b_2 3) (.f64 c (.f64 c (*.f64 a a))))
(/.f64 (pow.f64 b_2 3) (.f64 (.f64 c a) (*.f64 c a)))
(/.f64 (/.f64 (pow.f64 b_2 3) a) (.f64 (.f64 c c) a))
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(fma.f64 -1/2 (/.f64 c b_2) (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a -1/8))))
(.f64 (/.f64 c b_2) (+.f64 (.f64 (/.f64 -1/8 b_2) (*.f64 c (/.f64 a b_2))) -1/2))
(.f64 (/.f64 c b_2) (fma.f64 (/.f64 -1/8 b_2) (.f64 c (/.f64 a b_2)) -1/2))
(.f64 (/.f64 c b_2) (fma.f64 (/.f64 -1/8 b_2) (.f64 a (/.f64 c b_2)) -1/2))
(.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3)))
(.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)))
(.f64 -1/8 (.f64 a (/.f64 (*.f64 c c) (pow.f64 b_2 3))))
(/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a -1/8)))
(.f64 (.f64 (/.f64 c (pow.f64 b_2 3)) a) (*.f64 c -1/8))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/8 (.f64 a (/.f64 (.f64 c c) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/2 (/.f64 c b_2) (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a -1/8))))
(.f64 (/.f64 c b_2) (+.f64 (.f64 (/.f64 -1/8 b_2) (*.f64 c (/.f64 a b_2))) -1/2))
(.f64 (/.f64 c b_2) (fma.f64 (/.f64 -1/8 b_2) (.f64 c (/.f64 a b_2)) -1/2))
(.f64 (/.f64 c b_2) (fma.f64 (/.f64 -1/8 b_2) (.f64 a (/.f64 c b_2)) -1/2))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/8 (.f64 a (/.f64 (.f64 c c) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/2 (/.f64 c b_2) (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a -1/8))))
(.f64 (/.f64 c b_2) (+.f64 (.f64 (/.f64 -1/8 b_2) (*.f64 c (/.f64 a b_2))) -1/2))
(.f64 (/.f64 c b_2) (fma.f64 (/.f64 -1/8 b_2) (.f64 c (/.f64 a b_2)) -1/2))
(.f64 (/.f64 c b_2) (fma.f64 (/.f64 -1/8 b_2) (.f64 a (/.f64 c b_2)) -1/2))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/8 (.f64 a (/.f64 (.f64 c c) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/2 (/.f64 c b_2) (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a -1/8))))
(.f64 (/.f64 c b_2) (+.f64 (.f64 (/.f64 -1/8 b_2) (*.f64 c (/.f64 a b_2))) -1/2))
(.f64 (/.f64 c b_2) (fma.f64 (/.f64 -1/8 b_2) (.f64 c (/.f64 a b_2)) -1/2))
(.f64 (/.f64 c b_2) (fma.f64 (/.f64 -1/8 b_2) (.f64 a (/.f64 c b_2)) -1/2))
(*.f64 c (pow.f64 a 2))
(.f64 c (.f64 a a))
(*.f64 c (pow.f64 a 2))
(.f64 c (.f64 a a))
(*.f64 c (pow.f64 a 2))
(.f64 c (.f64 a a))
(*.f64 c (pow.f64 a 2))
(.f64 c (.f64 a a))
(*.f64 c (pow.f64 a 2))
(.f64 c (.f64 a a))
(*.f64 c (pow.f64 a 2))
(.f64 c (.f64 a a))
(*.f64 c (pow.f64 a 2))
(.f64 c (.f64 a a))
(*.f64 c (pow.f64 a 2))
(.f64 c (.f64 a a))
(*.f64 c (pow.f64 a 2))
(.f64 c (.f64 a a))
(*.f64 c (pow.f64 a 2))
(.f64 c (.f64 a a))
(*.f64 c (pow.f64 a 2))
(.f64 c (.f64 a a))
(*.f64 c (pow.f64 a 2))
(.f64 c (.f64 a a))
(*.f64 c (pow.f64 a 2))
(.f64 c (.f64 a a))
(*.f64 c (pow.f64 a 2))
(.f64 c (.f64 a a))
(*.f64 c (pow.f64 a 2))
(.f64 c (.f64 a a))
(*.f64 c (pow.f64 a 2))
(.f64 c (.f64 a a))
(*.f64 c (pow.f64 a 2))
(.f64 c (.f64 a a))
(*.f64 c (pow.f64 a 2))
(.f64 c (.f64 a a))
(*.f64 c (pow.f64 a 2))
(.f64 c (.f64 a a))
(*.f64 c (pow.f64 a 2))
(.f64 c (.f64 a a))
(*.f64 c (pow.f64 a 2))
(.f64 c (.f64 a a))
(*.f64 c (pow.f64 a 2))
(.f64 c (.f64 a a))
(*.f64 c (pow.f64 a 2))
(.f64 c (.f64 a a))
(*.f64 c (pow.f64 a 2))
(.f64 c (.f64 a a))

localize47.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (*.f64 c (neg.f64 a)) 1/4) 2))
✓	0.1b	(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (*.f64 c (neg.f64 a)) 1/4) 2)) a)
✓	0.3b	(pow.f64 (pow.f64 (*.f64 c (neg.f64 a)) 1/4) 2)
✓	14.0b	(pow.f64 (*.f64 c (neg.f64 a)) 1/4)

Compiler

Compiled 54 to 25 computations (53.7% saved)

series174.0ms (1.4%)

Counts

4 → 120

Calls

30 calls:

Time	Variable		Point	Expression
58.0ms	c	@	0	(pow.f64 (*.f64 c (neg.f64 a)) 1/4)
22.0ms	a	@	0	(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (*.f64 c (neg.f64 a)) 1/4) 2)) a)
21.0ms	a	@	-inf	(pow.f64 (*.f64 c (neg.f64 a)) 1/4)
15.0ms	a	@	0	(pow.f64 (*.f64 c (neg.f64 a)) 1/4)
12.0ms	c	@	-inf	(pow.f64 (*.f64 c (neg.f64 a)) 1/4)

rewrite86.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

617×	`log-prod_binary64`
318×	`pow2_binary64`
292×	`fma-def_binary64`
251×	`pow-unpow_binary64`
215×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	49
1	299	34
2	4165	34

Stop Event

1×	node limit

Counts

4 → 224

Calls

Call 1

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

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

simplify100.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

740×	`fma-neg_binary64`
555×	`times-frac_binary64`
465×	`fma-def_binary64`
392×	`associate-l_binary64`
360×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	88	2345
1	271	2309
2	653	2003
3	1488	1427
4	5597	1427

Stop Event

1×	node limit

Counts

344 → 264

Calls

Call 1

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

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

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))
✓	0.1b	(/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))
✓	0.1b	(pow.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) -1)
	13.0b	(sqrt.f64 (*.f64 a (neg.f64 c)))

Compiler

Compiled 58 to 12 computations (79.3% saved)

series137.0ms (1.1%)

Counts

3 → 36

Calls

27 calls:

Time	Variable		Point	Expression
64.0ms	c	@	0	(/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))
8.0ms	c	@	inf	(pow.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) -1)
8.0ms	c	@	-inf	(pow.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) -1)
7.0ms	a	@	inf	(pow.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) -1)
7.0ms	b_2	@	inf	(pow.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) -1)

rewrite85.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

598×	`log-prod_binary64`
571×	`prod-diff_binary64`
310×	`pow2_binary64`
228×	`fma-def_binary64`
215×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	51
1	263	42
2	3573	42

Stop Event

1×	node limit

Counts

3 → 182

Calls

Call 1

Inputs

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

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

(-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 b_2 a) (/.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a)) 2) (cbrt.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a)) (sqrt.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))) 2) 1) (/.f64 (cbrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))) 1) (/.f64 (sqrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))) 2) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (cbrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (sqrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))) 2) (sqrt.f64 a)) (/.f64 (cbrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))) (sqrt.f64 a)) (/.f64 (sqrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) (pow.f64 (/.f64 1 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 a)) (neg.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))) 2)) (cbrt.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))) 2) (/.f64 a (cbrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))) (/.f64 a (sqrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 b_2 3) (pow.f64 (fma.f64 a c (*.f64 b_2 b_2)) 3/2)) (*.f64 a (fma.f64 b_2 b_2 (fma.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) (fma.f64 a c (*.f64 b_2 b_2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 b_2 b_2) (fma.f64 a c (*.f64 b_2 b_2))) (*.f64 a (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a)) (sqrt.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) 1) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 a) (/.f64 1 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))) 2)) (cbrt.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) 3) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 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simplify74.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

499×	`associate-*l/_binary64`
496×	`distribute-rgt-in_binary64`
488×	`distribute-lft-in_binary64`
371×	`associate-r_binary64`
279×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	259	2464
1	864	1899
2	4351	1682

Stop Event

1×	node limit

Counts

218 → 254

Calls

Call 1

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

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

eval542.0ms (4.3%)

Compiler: Compiled 28346 to 10303 computations (63.7% saved)

prune248.0ms (2%)

Pruning

33 alts after pruning (26 fresh and 7 done)

	Pruned	Kept	Total
New	965	10	975
Fresh	6	16	22
Picked	0	1	1
Done	2	6	8
Total	973	33	1006

Error

0.7b

Counts

1006 → 33

Alt Table

Click to see full alt table

Status	Error	Program
	49.7b	(/.f64 (.f64 (-.f64 (.f64 b_2 b_2) (-.f64 (.f64 b_2 b_2) (.f64 a c))) (/.f64 1 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))))) a)
✓	36.7b	(*.f64 -1/2 (/.f64 c b_2))
	55.9b	(/.f64 (-.f64 (neg.f64 (pow.f64 (exp.f64 1/4) (*.f64 2 (+.f64 (log.f64 (neg.f64 a)) (log.f64 c))))) b_2) a)
✓	55.5b	(/.f64 0 a)
▶	55.9b	(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 a)) (log.f64 c))) 2)) a)
▶	37.0b	(.f64 (/.f64 c b_2) (fma.f64 (/.f64 -1/8 b_2) (.f64 a (/.f64 c b_2)) -1/2))
	53.7b	(/.f64 (fma.f64 -1/8 (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b_2 3))) (fma.f64 -1/2 (/.f64 (.f64 c a) b_2) (/.f64 (pow.f64 (*.f64 c a) 3) (/.f64 (pow.f64 b_2 5) -1/16)))) a)
	46.6b	(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (E.f64) (log.f64 b_2))) a)
	62.7b	(pow.f64 (cbrt.f64 (fma.f64 2 (/.f64 b_2 a) (/.f64 -1/2 (/.f64 b_2 c)))) 3)
	46.5b	(/.f64 (-.f64 (neg.f64 b_2) (exp.f64 (*.f64 (log.f64 (cbrt.f64 b_2)) 3))) a)
✓	37.1b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
▶	49.2b	(.f64 (/.f64 1 a) (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))
	50.4b	(/.f64 (+.f64 (/.f64 -1/8 (.f64 (/.f64 (.f64 b_2 b_2) (.f64 b_2 c)) (/.f64 (.f64 b_2 b_2) (.f64 c (.f64 a a))))) (+.f64 0 (.f64 (.f64 (/.f64 c b_2) a) -1/2))) a)
	55.5b	(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (log.f64 (.f64 -1 a))))) 2)) a)
	62.4b	(pow.f64 (cbrt.f64 (*.f64 2 (/.f64 b_2 a))) 3)
	56.0b	(/.f64 1/2 (/.f64 b_2 c))
✓	47.7b	(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (*.f64 c (neg.f64 a)) 1/4) 2)) a)
	46.4b	(/.f64 (-.f64 (neg.f64 b_2) (exp.f64 (log.f64 b_2))) a)
	59.0b	(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (pow.f64 b_2 6) 1/6)) a)
✓	49.1b	(pow.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) -1)
	53.4b	(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -1 c)) (log.f64 a)))) 2)) a)
	63.4b	(.f64 (/.f64 1 a) (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a c)))))
	53.8b	(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a))) 2)) a)
✓	37.3b	(fma.f64 -1 (/.f64 b_2 a) (neg.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) a)))
	46.9b	(pow.f64 (cbrt.f64 (/.f64 (fma.f64 (/.f64 c b_2) (.f64 a -1/2) (.f64 -1/8 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3)))) a)) 3)
▶	59.2b	(/.f64 (neg.f64 b_2) a)
▶	62.4b	(pow.f64 (/.f64 (*.f64 1/2 a) b_2) -1)
	47.6b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))) a)
	40.6b	(/.f64 (*.f64 -1/2 (/.f64 a (/.f64 b_2 c))) a)
✓	44.1b	(/.f64 (*.f64 b_2 -2) a)
	60.1b	(cbrt.f64 (/.f64 (pow.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) 3) (pow.f64 a 3)))
	55.4b	(/.f64 (-.f64 (neg.f64 b_2) (-.f64 (.f64 1/2 (.f64 (/.f64 c b_2) a)) b_2)) a)
	62.4b	(/.f64 (*.f64 b_2 2) a)

Compiler

Compiled 968 to 684 computations (29.3% saved)

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (/.f64 c b_2) (fma.f64 (/.f64 -1/8 b_2) (.f64 a (/.f64 c b_2)) -1/2))
✓	0.1b	(fma.f64 (/.f64 -1/8 b_2) (*.f64 a (/.f64 c b_2)) -1/2)
✓	6.2b	(*.f64 a (/.f64 c b_2))

Compiler

Compiled 43 to 18 computations (58.1% saved)

series24.0ms (0.2%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
12.0ms	b_2	@	inf	(.f64 (/.f64 c b_2) (fma.f64 (/.f64 -1/8 b_2) (.f64 a (/.f64 c b_2)) -1/2))
1.0ms	b_2	@	-inf	(.f64 (/.f64 c b_2) (fma.f64 (/.f64 -1/8 b_2) (.f64 a (/.f64 c b_2)) -1/2))
1.0ms	c	@	0	(.f64 (/.f64 c b_2) (fma.f64 (/.f64 -1/8 b_2) (.f64 a (/.f64 c b_2)) -1/2))
1.0ms	b_2	@	0	(fma.f64 (/.f64 -1/8 b_2) (*.f64 a (/.f64 c b_2)) -1/2)
1.0ms	a	@	0	(.f64 (/.f64 c b_2) (fma.f64 (/.f64 -1/8 b_2) (.f64 a (/.f64 c b_2)) -1/2))

rewrite72.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

573×	`log-prod_binary64`
438×	`exp-prod_binary64`
385×	`pow-prod-down_binary64`
297×	`pow2_binary64`
212×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	41
1	231	41
2	2941	41

Stop Event

1×	node limit

Counts

3 → 107

Calls

Call 1

Inputs
(*.f64 a (/.f64 c b_2))
(fma.f64 (/.f64 -1/8 b_2) (*.f64 a (/.f64 c b_2)) -1/2)
(.f64 (/.f64 c b_2) (fma.f64 (/.f64 -1/8 b_2) (.f64 a (/.f64 c b_2)) -1/2))

Outputs

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

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 c b_2) (fma.f64 (*.f64 a (/.f64 c b_2)) (/.f64 -1/8 b_2) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (*.f64 -1/8 (*.f64 a c)) (*.f64 b_2 b_2)) (/.f64 c b_2)) (*.f64 -1/2 (/.f64 c b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 c b_2) (/.f64 (*.f64 -1/8 (*.f64 a c)) (*.f64 b_2 b_2))) (*.f64 (/.f64 c b_2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 c b_2)) (fma.f64 (*.f64 a (/.f64 c b_2)) (/.f64 -1/8 b_2) -1/2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 c b_2)) (fma.f64 (*.f64 a (/.f64 c b_2)) (/.f64 -1/8 b_2) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 c b_2)) (fma.f64 (*.f64 a (/.f64 c b_2)) (/.f64 -1/8 b_2) -1/2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 c b_2)) (fma.f64 (*.f64 a (/.f64 c b_2)) (/.f64 -1/8 b_2) -1/2)))))))) (#(struct:change 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simplify223.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

810×	`times-frac_binary64`
524×	`associate-/l*_binary64`
492×	`sqr-pow_binary64`
442×	`unswap-sqr_binary64`
312×	`associate-/r*_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	23	1428
1	60	1428
2	158	1428
3	623	1428
4	4342	1347
5	4930	1347
6	5608	1347
7	5901	1347
8	6115	1347
9	6381	1347
10	6731	1347
11	7198	1347
12	7789	1347

Stop Event

1×	node limit

Counts

215 → 120

Calls

Call 1

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

Outputs
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(*.f64 a (/.f64 c b_2))
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(*.f64 a (/.f64 c b_2))
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(*.f64 a (/.f64 c b_2))
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(*.f64 a (/.f64 c b_2))
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(*.f64 a (/.f64 c b_2))
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(*.f64 a (/.f64 c b_2))
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(*.f64 a (/.f64 c b_2))
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(*.f64 a (/.f64 c b_2))
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(*.f64 a (/.f64 c b_2))
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(*.f64 a (/.f64 c b_2))
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(*.f64 a (/.f64 c b_2))
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(*.f64 a (/.f64 c b_2))
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(*.f64 a (/.f64 c b_2))
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(*.f64 a (/.f64 c b_2))
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(*.f64 a (/.f64 c b_2))
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(*.f64 a (/.f64 c b_2))
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(*.f64 a (/.f64 c b_2))
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(*.f64 a (/.f64 c b_2))
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(*.f64 a (/.f64 c b_2))
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(*.f64 a (/.f64 c b_2))
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(*.f64 a (/.f64 c b_2))
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(*.f64 a (/.f64 c b_2))
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(*.f64 a (/.f64 c b_2))
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(*.f64 a (/.f64 c b_2))
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(*.f64 a (/.f64 c b_2))
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(*.f64 a (/.f64 c b_2))
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(*.f64 a (/.f64 c b_2))
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(*.f64 a (/.f64 c b_2))
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(*.f64 a (/.f64 c b_2))
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(*.f64 a (/.f64 c b_2))
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(*.f64 a (/.f64 c b_2))
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(*.f64 a (/.f64 c b_2))
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(*.f64 a (/.f64 c b_2))
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(*.f64 a (/.f64 c b_2))
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(*.f64 a (/.f64 c b_2))
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(*.f64 a (/.f64 c b_2))
(*.f64 c (/.f64 a b_2))
(.f64 -1/8 (/.f64 (.f64 c a) (pow.f64 b_2 2)))
(.f64 -1/8 (/.f64 c (/.f64 (.f64 b_2 b_2) a)))
(.f64 -1/8 (.f64 (/.f64 c b_2) (/.f64 a b_2)))
(.f64 -1/8 (/.f64 a (/.f64 (.f64 b_2 b_2) c)))
(.f64 a (.f64 -1/8 (/.f64 (/.f64 c b_2) b_2)))
(-.f64 (.f64 -1/8 (/.f64 (.f64 c a) (pow.f64 b_2 2))) 1/2)
(fma.f64 -1/8 (/.f64 c (/.f64 (*.f64 b_2 b_2) a)) -1/2)
(fma.f64 -1/8 (*.f64 (/.f64 c b_2) (/.f64 a b_2)) -1/2)
(fma.f64 -1/8 (/.f64 a (/.f64 (*.f64 b_2 b_2) c)) -1/2)
(fma.f64 (*.f64 c (/.f64 a b_2)) (/.f64 -1/8 b_2) -1/2)
(fma.f64 a (*.f64 -1/8 (/.f64 (/.f64 c b_2) b_2)) -1/2)
(-.f64 (.f64 -1/8 (/.f64 (.f64 c a) (pow.f64 b_2 2))) 1/2)
(fma.f64 -1/8 (/.f64 c (/.f64 (*.f64 b_2 b_2) a)) -1/2)
(fma.f64 -1/8 (*.f64 (/.f64 c b_2) (/.f64 a b_2)) -1/2)
(fma.f64 -1/8 (/.f64 a (/.f64 (*.f64 b_2 b_2) c)) -1/2)
(fma.f64 (*.f64 c (/.f64 a b_2)) (/.f64 -1/8 b_2) -1/2)
(fma.f64 a (*.f64 -1/8 (/.f64 (/.f64 c b_2) b_2)) -1/2)
(-.f64 (.f64 -1/8 (/.f64 (.f64 c a) (pow.f64 b_2 2))) 1/2)
(fma.f64 -1/8 (/.f64 c (/.f64 (*.f64 b_2 b_2) a)) -1/2)
(fma.f64 -1/8 (*.f64 (/.f64 c b_2) (/.f64 a b_2)) -1/2)
(fma.f64 -1/8 (/.f64 a (/.f64 (*.f64 b_2 b_2) c)) -1/2)
(fma.f64 (*.f64 c (/.f64 a b_2)) (/.f64 -1/8 b_2) -1/2)
(fma.f64 a (*.f64 -1/8 (/.f64 (/.f64 c b_2) b_2)) -1/2)
-1/2
(-.f64 (.f64 -1/8 (/.f64 (.f64 c a) (pow.f64 b_2 2))) 1/2)
(fma.f64 -1/8 (/.f64 c (/.f64 (*.f64 b_2 b_2) a)) -1/2)
(fma.f64 -1/8 (*.f64 (/.f64 c b_2) (/.f64 a b_2)) -1/2)
(fma.f64 -1/8 (/.f64 a (/.f64 (*.f64 b_2 b_2) c)) -1/2)
(fma.f64 (*.f64 c (/.f64 a b_2)) (/.f64 -1/8 b_2) -1/2)
(fma.f64 a (*.f64 -1/8 (/.f64 (/.f64 c b_2) b_2)) -1/2)
(-.f64 (.f64 -1/8 (/.f64 (.f64 c a) (pow.f64 b_2 2))) 1/2)
(fma.f64 -1/8 (/.f64 c (/.f64 (*.f64 b_2 b_2) a)) -1/2)
(fma.f64 -1/8 (*.f64 (/.f64 c b_2) (/.f64 a b_2)) -1/2)
(fma.f64 -1/8 (/.f64 a (/.f64 (*.f64 b_2 b_2) c)) -1/2)
(fma.f64 (*.f64 c (/.f64 a b_2)) (/.f64 -1/8 b_2) -1/2)
(fma.f64 a (*.f64 -1/8 (/.f64 (/.f64 c b_2) b_2)) -1/2)
(-.f64 (.f64 -1/8 (/.f64 (.f64 c a) (pow.f64 b_2 2))) 1/2)
(fma.f64 -1/8 (/.f64 c (/.f64 (*.f64 b_2 b_2) a)) -1/2)
(fma.f64 -1/8 (*.f64 (/.f64 c b_2) (/.f64 a b_2)) -1/2)
(fma.f64 -1/8 (/.f64 a (/.f64 (*.f64 b_2 b_2) c)) -1/2)
(fma.f64 (*.f64 c (/.f64 a b_2)) (/.f64 -1/8 b_2) -1/2)
(fma.f64 a (*.f64 -1/8 (/.f64 (/.f64 c b_2) b_2)) -1/2)
-1/2
(-.f64 (.f64 -1/8 (/.f64 (.f64 c a) (pow.f64 b_2 2))) 1/2)
(fma.f64 -1/8 (/.f64 c (/.f64 (*.f64 b_2 b_2) a)) -1/2)
(fma.f64 -1/8 (*.f64 (/.f64 c b_2) (/.f64 a b_2)) -1/2)
(fma.f64 -1/8 (/.f64 a (/.f64 (*.f64 b_2 b_2) c)) -1/2)
(fma.f64 (*.f64 c (/.f64 a b_2)) (/.f64 -1/8 b_2) -1/2)
(fma.f64 a (*.f64 -1/8 (/.f64 (/.f64 c b_2) b_2)) -1/2)
(-.f64 (.f64 -1/8 (/.f64 (.f64 c a) (pow.f64 b_2 2))) 1/2)
(fma.f64 -1/8 (/.f64 c (/.f64 (*.f64 b_2 b_2) a)) -1/2)
(fma.f64 -1/8 (*.f64 (/.f64 c b_2) (/.f64 a b_2)) -1/2)
(fma.f64 -1/8 (/.f64 a (/.f64 (*.f64 b_2 b_2) c)) -1/2)
(fma.f64 (*.f64 c (/.f64 a b_2)) (/.f64 -1/8 b_2) -1/2)
(fma.f64 a (*.f64 -1/8 (/.f64 (/.f64 c b_2) b_2)) -1/2)
(-.f64 (.f64 -1/8 (/.f64 (.f64 c a) (pow.f64 b_2 2))) 1/2)
(fma.f64 -1/8 (/.f64 c (/.f64 (*.f64 b_2 b_2) a)) -1/2)
(fma.f64 -1/8 (*.f64 (/.f64 c b_2) (/.f64 a b_2)) -1/2)
(fma.f64 -1/8 (/.f64 a (/.f64 (*.f64 b_2 b_2) c)) -1/2)
(fma.f64 (*.f64 c (/.f64 a b_2)) (/.f64 -1/8 b_2) -1/2)
(fma.f64 a (*.f64 -1/8 (/.f64 (/.f64 c b_2) b_2)) -1/2)
-1/2
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(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/8 (/.f64 (.f64 c (.f64 c a)) (pow.f64 b_2 3)) (*.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/2 (/.f64 c b_2) (.f64 (/.f64 -1/8 (pow.f64 b_2 3)) (.f64 c (*.f64 c a))))
(fma.f64 -1/8 (.f64 (.f64 c c) (/.f64 a (pow.f64 b_2 3))) (*.f64 c (/.f64 -1/2 b_2)))
(.f64 (/.f64 c b_2) (fma.f64 a (.f64 -1/8 (/.f64 (/.f64 c b_2) b_2)) -1/2))
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(.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3)))
(.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)))
(.f64 -1/8 (/.f64 (.f64 c (*.f64 c a)) (pow.f64 b_2 3)))
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(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/8 (/.f64 (.f64 c (.f64 c a)) (pow.f64 b_2 3)) (*.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/2 (/.f64 c b_2) (.f64 (/.f64 -1/8 (pow.f64 b_2 3)) (.f64 c (*.f64 c a))))
(fma.f64 -1/8 (.f64 (.f64 c c) (/.f64 a (pow.f64 b_2 3))) (*.f64 c (/.f64 -1/2 b_2)))
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(fma.f64 -1/8 (.f64 (.f64 c c) (/.f64 a (pow.f64 b_2 3))) (*.f64 c (/.f64 -1/2 b_2)))
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(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/8 (/.f64 (.f64 c (.f64 c a)) (pow.f64 b_2 3)) (*.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/2 (/.f64 c b_2) (.f64 (/.f64 -1/8 (pow.f64 b_2 3)) (.f64 c (*.f64 c a))))
(fma.f64 -1/8 (.f64 (.f64 c c) (/.f64 a (pow.f64 b_2 3))) (*.f64 c (/.f64 -1/2 b_2)))
(.f64 (/.f64 c b_2) (fma.f64 a (.f64 -1/8 (/.f64 (/.f64 c b_2) b_2)) -1/2))
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(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/8 (/.f64 (.f64 c (.f64 c a)) (pow.f64 b_2 3)) (*.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/2 (/.f64 c b_2) (.f64 (/.f64 -1/8 (pow.f64 b_2 3)) (.f64 c (*.f64 c a))))
(fma.f64 -1/8 (.f64 (.f64 c c) (/.f64 a (pow.f64 b_2 3))) (*.f64 c (/.f64 -1/2 b_2)))
(.f64 (/.f64 c b_2) (fma.f64 a (.f64 -1/8 (/.f64 (/.f64 c b_2) b_2)) -1/2))
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(*.f64 -1/2 (/.f64 c b_2))
(*.f64 c (/.f64 -1/2 b_2))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/8 (/.f64 (.f64 c (.f64 c a)) (pow.f64 b_2 3)) (*.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/2 (/.f64 c b_2) (.f64 (/.f64 -1/8 (pow.f64 b_2 3)) (.f64 c (*.f64 c a))))
(fma.f64 -1/8 (.f64 (.f64 c c) (/.f64 a (pow.f64 b_2 3))) (*.f64 c (/.f64 -1/2 b_2)))
(.f64 (/.f64 c b_2) (fma.f64 a (.f64 -1/8 (/.f64 (/.f64 c b_2) b_2)) -1/2))
(.f64 c (fma.f64 (/.f64 -1/8 (pow.f64 b_2 3)) (.f64 c a) (/.f64 -1/2 b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/8 (/.f64 (.f64 c (.f64 c a)) (pow.f64 b_2 3)) (*.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/2 (/.f64 c b_2) (.f64 (/.f64 -1/8 (pow.f64 b_2 3)) (.f64 c (*.f64 c a))))
(fma.f64 -1/8 (.f64 (.f64 c c) (/.f64 a (pow.f64 b_2 3))) (*.f64 c (/.f64 -1/2 b_2)))
(.f64 (/.f64 c b_2) (fma.f64 a (.f64 -1/8 (/.f64 (/.f64 c b_2) b_2)) -1/2))
(.f64 c (fma.f64 (/.f64 -1/8 (pow.f64 b_2 3)) (.f64 c a) (/.f64 -1/2 b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/8 (/.f64 (.f64 c (.f64 c a)) (pow.f64 b_2 3)) (*.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/2 (/.f64 c b_2) (.f64 (/.f64 -1/8 (pow.f64 b_2 3)) (.f64 c (*.f64 c a))))
(fma.f64 -1/8 (.f64 (.f64 c c) (/.f64 a (pow.f64 b_2 3))) (*.f64 c (/.f64 -1/2 b_2)))
(.f64 (/.f64 c b_2) (fma.f64 a (.f64 -1/8 (/.f64 (/.f64 c b_2) b_2)) -1/2))
(.f64 c (fma.f64 (/.f64 -1/8 (pow.f64 b_2 3)) (.f64 c a) (/.f64 -1/2 b_2)))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 c (/.f64 -1/2 b_2))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/8 (/.f64 (.f64 c (.f64 c a)) (pow.f64 b_2 3)) (*.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/2 (/.f64 c b_2) (.f64 (/.f64 -1/8 (pow.f64 b_2 3)) (.f64 c (*.f64 c a))))
(fma.f64 -1/8 (.f64 (.f64 c c) (/.f64 a (pow.f64 b_2 3))) (*.f64 c (/.f64 -1/2 b_2)))
(.f64 (/.f64 c b_2) (fma.f64 a (.f64 -1/8 (/.f64 (/.f64 c b_2) b_2)) -1/2))
(.f64 c (fma.f64 (/.f64 -1/8 (pow.f64 b_2 3)) (.f64 c a) (/.f64 -1/2 b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/8 (/.f64 (.f64 c (.f64 c a)) (pow.f64 b_2 3)) (*.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/2 (/.f64 c b_2) (.f64 (/.f64 -1/8 (pow.f64 b_2 3)) (.f64 c (*.f64 c a))))
(fma.f64 -1/8 (.f64 (.f64 c c) (/.f64 a (pow.f64 b_2 3))) (*.f64 c (/.f64 -1/2 b_2)))
(.f64 (/.f64 c b_2) (fma.f64 a (.f64 -1/8 (/.f64 (/.f64 c b_2) b_2)) -1/2))
(.f64 c (fma.f64 (/.f64 -1/8 (pow.f64 b_2 3)) (.f64 c a) (/.f64 -1/2 b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/8 (/.f64 (.f64 c (.f64 c a)) (pow.f64 b_2 3)) (*.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/2 (/.f64 c b_2) (.f64 (/.f64 -1/8 (pow.f64 b_2 3)) (.f64 c (*.f64 c a))))
(fma.f64 -1/8 (.f64 (.f64 c c) (/.f64 a (pow.f64 b_2 3))) (*.f64 c (/.f64 -1/2 b_2)))
(.f64 (/.f64 c b_2) (fma.f64 a (.f64 -1/8 (/.f64 (/.f64 c b_2) b_2)) -1/2))
(.f64 c (fma.f64 (/.f64 -1/8 (pow.f64 b_2 3)) (.f64 c a) (/.f64 -1/2 b_2)))
(.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3)))
(.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)))
(.f64 -1/8 (/.f64 (.f64 c (*.f64 c a)) (pow.f64 b_2 3)))
(.f64 (/.f64 -1/8 (pow.f64 b_2 3)) (.f64 c (*.f64 c a)))
(.f64 a (/.f64 (.f64 -1/8 (*.f64 c c)) (pow.f64 b_2 3)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/8 (/.f64 (.f64 c (.f64 c a)) (pow.f64 b_2 3)) (*.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/2 (/.f64 c b_2) (.f64 (/.f64 -1/8 (pow.f64 b_2 3)) (.f64 c (*.f64 c a))))
(fma.f64 -1/8 (.f64 (.f64 c c) (/.f64 a (pow.f64 b_2 3))) (*.f64 c (/.f64 -1/2 b_2)))
(.f64 (/.f64 c b_2) (fma.f64 a (.f64 -1/8 (/.f64 (/.f64 c b_2) b_2)) -1/2))
(.f64 c (fma.f64 (/.f64 -1/8 (pow.f64 b_2 3)) (.f64 c a) (/.f64 -1/2 b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/8 (/.f64 (.f64 c (.f64 c a)) (pow.f64 b_2 3)) (*.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/2 (/.f64 c b_2) (.f64 (/.f64 -1/8 (pow.f64 b_2 3)) (.f64 c (*.f64 c a))))
(fma.f64 -1/8 (.f64 (.f64 c c) (/.f64 a (pow.f64 b_2 3))) (*.f64 c (/.f64 -1/2 b_2)))
(.f64 (/.f64 c b_2) (fma.f64 a (.f64 -1/8 (/.f64 (/.f64 c b_2) b_2)) -1/2))
(.f64 c (fma.f64 (/.f64 -1/8 (pow.f64 b_2 3)) (.f64 c a) (/.f64 -1/2 b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/8 (/.f64 (.f64 c (.f64 c a)) (pow.f64 b_2 3)) (*.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/2 (/.f64 c b_2) (.f64 (/.f64 -1/8 (pow.f64 b_2 3)) (.f64 c (*.f64 c a))))
(fma.f64 -1/8 (.f64 (.f64 c c) (/.f64 a (pow.f64 b_2 3))) (*.f64 c (/.f64 -1/2 b_2)))
(.f64 (/.f64 c b_2) (fma.f64 a (.f64 -1/8 (/.f64 (/.f64 c b_2) b_2)) -1/2))
(.f64 c (fma.f64 (/.f64 -1/8 (pow.f64 b_2 3)) (.f64 c a) (/.f64 -1/2 b_2)))
(.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3)))
(.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)))
(.f64 -1/8 (/.f64 (.f64 c (*.f64 c a)) (pow.f64 b_2 3)))
(.f64 (/.f64 -1/8 (pow.f64 b_2 3)) (.f64 c (*.f64 c a)))
(.f64 a (/.f64 (.f64 -1/8 (*.f64 c c)) (pow.f64 b_2 3)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/8 (/.f64 (.f64 c (.f64 c a)) (pow.f64 b_2 3)) (*.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/2 (/.f64 c b_2) (.f64 (/.f64 -1/8 (pow.f64 b_2 3)) (.f64 c (*.f64 c a))))
(fma.f64 -1/8 (.f64 (.f64 c c) (/.f64 a (pow.f64 b_2 3))) (*.f64 c (/.f64 -1/2 b_2)))
(.f64 (/.f64 c b_2) (fma.f64 a (.f64 -1/8 (/.f64 (/.f64 c b_2) b_2)) -1/2))
(.f64 c (fma.f64 (/.f64 -1/8 (pow.f64 b_2 3)) (.f64 c a) (/.f64 -1/2 b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/8 (/.f64 (.f64 c (.f64 c a)) (pow.f64 b_2 3)) (*.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/2 (/.f64 c b_2) (.f64 (/.f64 -1/8 (pow.f64 b_2 3)) (.f64 c (*.f64 c a))))
(fma.f64 -1/8 (.f64 (.f64 c c) (/.f64 a (pow.f64 b_2 3))) (*.f64 c (/.f64 -1/2 b_2)))
(.f64 (/.f64 c b_2) (fma.f64 a (.f64 -1/8 (/.f64 (/.f64 c b_2) b_2)) -1/2))
(.f64 c (fma.f64 (/.f64 -1/8 (pow.f64 b_2 3)) (.f64 c a) (/.f64 -1/2 b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/8 (/.f64 (.f64 c (.f64 c a)) (pow.f64 b_2 3)) (*.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/2 (/.f64 c b_2) (.f64 (/.f64 -1/8 (pow.f64 b_2 3)) (.f64 c (*.f64 c a))))
(fma.f64 -1/8 (.f64 (.f64 c c) (/.f64 a (pow.f64 b_2 3))) (*.f64 c (/.f64 -1/2 b_2)))
(.f64 (/.f64 c b_2) (fma.f64 a (.f64 -1/8 (/.f64 (/.f64 c b_2) b_2)) -1/2))
(.f64 c (fma.f64 (/.f64 -1/8 (pow.f64 b_2 3)) (.f64 c a) (/.f64 -1/2 b_2)))

localize6.0ms (0%)

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

localize42.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (/.f64 (*.f64 1/2 a) b_2) -1)

Compiler

Compiled 22 to 15 computations (31.8% saved)

series6.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite61.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

841×	`pow1_binary64`
785×	`add-log-exp_binary64`
785×	`log1p-expm1-u_binary64`
785×	`expm1-log1p-u_binary64`
768×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	169	7
2	2134	7

Stop Event

1×	node limit

Counts

1 → 48

Calls

Call 1

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

Outputs

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

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`associate-/l*_binary64`
1×	`associate-*r/_binary64`
1×	`associate-*l/_binary64`
1×	`associate-/r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	168
1	9	168
2	13	168
3	17	168
4	18	168

Stop Event

1×

saturated

Counts

72 → 48

Calls

Call 1

Inputs
(*.f64 2 (/.f64 b_2 a))
(*.f64 2 (/.f64 b_2 a))
(*.f64 2 (/.f64 b_2 a))
(*.f64 2 (/.f64 b_2 a))
(*.f64 2 (/.f64 b_2 a))
(*.f64 2 (/.f64 b_2 a))
(*.f64 2 (/.f64 b_2 a))
(*.f64 2 (/.f64 b_2 a))
(*.f64 2 (/.f64 b_2 a))
(*.f64 2 (/.f64 b_2 a))
(*.f64 2 (/.f64 b_2 a))
(*.f64 2 (/.f64 b_2 a))
(*.f64 2 (/.f64 b_2 a))
(*.f64 2 (/.f64 b_2 a))
(*.f64 2 (/.f64 b_2 a))
(*.f64 2 (/.f64 b_2 a))
(*.f64 2 (/.f64 b_2 a))
(*.f64 2 (/.f64 b_2 a))
(*.f64 2 (/.f64 b_2 a))
(*.f64 2 (/.f64 b_2 a))
(*.f64 2 (/.f64 b_2 a))
(*.f64 2 (/.f64 b_2 a))
(*.f64 2 (/.f64 b_2 a))
(*.f64 2 (/.f64 b_2 a))

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

localize20.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))
✓	0.2b	(.f64 (/.f64 1 a) (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))
	13.0b	(sqrt.f64 (*.f64 a (neg.f64 c)))

Compiler

Compiled 50 to 14 computations (72% saved)

series6.0ms (0%)

Counts

1 → 12

Calls

9 calls:

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

rewrite88.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

570×	`log-prod_binary64`
562×	`prod-diff_binary64`
293×	`pow2_binary64`
227×	`fma-def_binary64`
220×	`pow-unpow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	17
1	254	15
2	3386	15

Stop Event

1×	node limit

Counts

1 → 51

Calls

Call 1

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

Outputs

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

simplify64.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

583×	`associate-r_binary64`
541×	`associate-l_binary64`
442×	`times-frac_binary64`
411×	`neg-mul-1_binary64`
322×	`associate-/l*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	97	548
1	278	439
2	1059	401
3	5611	389
4	7302	389

Stop Event

1×	node limit

Counts

63 → 75

Calls

Call 1

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

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

localize67.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 a)) (log.f64 c))) 2)) a)
✓	0.1b	(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 a)) (log.f64 c))) 2)
✓	0.1b	(+.f64 (log.f64 (neg.f64 a)) (log.f64 c))
✓	1.9b	(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 a)) (log.f64 c)))

Compiler

Compiled 75 to 33 computations (56% saved)

series167.0ms (1.3%)

Counts

4 → 108

Calls

27 calls:

Time	Variable		Point	Expression
56.0ms	c	@	0	(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 a)) (log.f64 c)))
30.0ms	a	@	0	(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 a)) (log.f64 c)))
20.0ms	a	@	-inf	(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 a)) (log.f64 c)))
13.0ms	a	@	inf	(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 a)) (log.f64 c))) 2)) a)
8.0ms	b_2	@	0	(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 a)) (log.f64 c))) 2)) a)

rewrite97.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

755×	`log-prod_binary64`
427×	`fma-def_binary64`
277×	`expm1-udef_binary64`
277×	`log1p-udef_binary64`
247×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	61
1	358	45
2	5041	45

Stop Event

1×	node limit

Counts

4 → 153

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (exp.f64 1/4) (log.f64 (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (pow.f64 (exp.f64 1/4) (log.f64 (.f64 a c))))) (cbrt.f64 (exp.f64 (pow.f64 (exp.f64 1/4) (log.f64 (.f64 a c))))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (exp.f64 1/4) (log.f64 (.f64 a c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (exp.f64 1/4) (log.f64 (.f64 a c)))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (exp.f64 1/4) (log.f64 (.f64 a c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 1/4) (log.f64 (.f64 a c))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (exp.f64 1/4) (log.f64 (.f64 a c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (exp.f64 1/4) (log.f64 (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (exp.f64 1/2) (log.f64 (.f64 a c)))) (cbrt.f64 (pow.f64 (exp.f64 1/4) (log.f64 (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (exp.f64 1/4) (log.f64 (.f64 a c)))) (cbrt.f64 (pow.f64 (exp.f64 1/2) (log.f64 (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (exp.f64 1/4) (log.f64 a)) (pow.f64 (exp.f64 1/4) (log.f64 c)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (exp.f64 1/4) (log.f64 c)) (pow.f64 (exp.f64 1/4) (log.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (exp.f64 1/4) (log.f64 (.f64 a c)))) (sqrt.f64 (pow.f64 (exp.f64 1/4) (log.f64 (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (pow.f64 (exp.f64 1/2) (.f64 (log.f64 (.f64 a c)) 2)))) (sqrt.f64 (cbrt.f64 (pow.f64 (exp.f64 1/2) (log.f64 (.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 (log.f64 (.f64 a c))) (pow.f64 (exp.f64 1/4) (log.f64 (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (exp.f64 1/6) (log.f64 (.f64 a c))) (pow.f64 (exp.f64 1/12) (log.f64 (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (exp.f64 1/8) (log.f64 (.f64 a c))) (pow.f64 (exp.f64 1/8) (log.f64 (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 1/2) (log.f64 (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 (exp.f64 1/4) (log.f64 (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (exp.f64 1/4) (log.f64 (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 1/4) (log.f64 (.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (log.f64 (.f64 a c))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (exp.f64 1/4) (log.f64 (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 1/4 (log.f64 (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 1/4 (log.f64 (.f64 a c))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (exp.f64 1/4) (log.f64 (.f64 a c)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (.f64 a c)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (log.f64 a) 2) (log.f64 (/.f64 a c))) (/.f64 (pow.f64 (log.f64 c) 2) (log.f64 (/.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log.f64 (.f64 a c)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (log.f64 (.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (log.f64 (.f64 a c))) (cbrt.f64 (pow.f64 (log.f64 (.f64 a c)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (log.f64 (.f64 a c)) 2)) (cbrt.f64 (log.f64 (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (log.f64 (.f64 a c))) (sqrt.f64 (log.f64 (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 (log.f64 a) 3) (pow.f64 (log.f64 c) 3)) (/.f64 1 (fma.f64 (log.f64 c) (log.f64 (/.f64 c a)) (pow.f64 (log.f64 a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (log.f64 (.f64 a c)) (log.f64 (/.f64 a c))) (/.f64 1 (log.f64 (/.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (log.f64 c) (log.f64 (/.f64 c a)) (pow.f64 (log.f64 a) 2)) (+.f64 (pow.f64 (log.f64 a) 3) (pow.f64 (log.f64 c) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (log.f64 (/.f64 a c)) (.f64 (log.f64 (.f64 a c)) (log.f64 (/.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log.f64 a) 3) (pow.f64 (log.f64 c) 3)) (fma.f64 (log.f64 c) (log.f64 (/.f64 c a)) (pow.f64 (log.f64 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log.f64 a) 3) (pow.f64 (log.f64 c) 3)) (+.f64 (pow.f64 (log.f64 c) 2) (-.f64 (pow.f64 (log.f64 a) 2) (.f64 (log.f64 a) (log.f64 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (log.f64 (.f64 a c)) (log.f64 (/.f64 a c))) (log.f64 (/.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 a) 3) (pow.f64 (log.f64 c) 3))) (neg.f64 (fma.f64 (log.f64 c) (log.f64 (/.f64 c a)) (pow.f64 (log.f64 a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 (log.f64 (.f64 a c)) (log.f64 (/.f64 a c)))) (neg.f64 (log.f64 (/.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 c) 2) (pow.f64 (log.f64 a) 2)) (log.f64 (/.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (.f64 a c)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (.f64 a c)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (.f64 a c))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (.f64 a c))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (.f64 a c)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 a c))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (fma.f64 a c -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (-.f64 a 1)) c))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 a (+.f64 1 (-.f64 c 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (-.f64 a 1)) (+.f64 1 (-.f64 c 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (-.f64 c 1)) a))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 c (+.f64 1 (-.f64 a 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (-.f64 c 1)) (+.f64 1 (-.f64 a 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (.f64 a c)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (log.f64 (.f64 a c))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (fma.f64 a c -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 a) 1 (log.f64 c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 c) 1 (log.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 a) (log.f64 c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 c) (log.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (log.f64 a)) (cbrt.f64 (pow.f64 (log.f64 a) 2)) (log.f64 c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (log.f64 a) 2)) (cbrt.f64 (log.f64 a)) (log.f64 c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (log.f64 c)) (pow.f64 (cbrt.f64 (log.f64 c)) 2) (log.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 c)) 2) (cbrt.f64 (log.f64 c)) (log.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 a)) (sqrt.f64 (log.f64 a)) (log.f64 c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 c)) (sqrt.f64 (log.f64 c)) (log.f64 a))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (exp.f64 1/2) (log.f64 (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (pow.f64 (exp.f64 1/2) (log.f64 (.f64 a c))))) (cbrt.f64 (exp.f64 (pow.f64 (exp.f64 1/2) (log.f64 (.f64 a c))))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (exp.f64 1/2) (log.f64 (.f64 a c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (exp.f64 1/2) (log.f64 (.f64 a c)))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (exp.f64 1/2) (log.f64 (.f64 a c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 1/2) (log.f64 (.f64 a c))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (exp.f64 1/4) (log.f64 (.f64 a c))) (pow.f64 (exp.f64 1/4) (log.f64 (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (exp.f64 1/2) (log.f64 (.f64 a c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (exp.f64 1/2) (log.f64 (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (exp.f64 1/2) (log.f64 (.f64 a c)))) (cbrt.f64 (pow.f64 (exp.f64 1/2) (.f64 (log.f64 (.f64 a c)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (exp.f64 1/2) (log.f64 (.f64 a c)))) (.f64 (cbrt.f64 (pow.f64 (exp.f64 1/4) (log.f64 (.f64 a c)))) (pow.f64 (exp.f64 1/4) (log.f64 (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (exp.f64 1/2) (.f64 (log.f64 (.f64 a c)) 2))) (cbrt.f64 (pow.f64 (exp.f64 1/2) (log.f64 (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (exp.f64 1/4) (log.f64 a)) (.f64 (pow.f64 (exp.f64 1/4) (log.f64 c)) (pow.f64 (exp.f64 1/4) (log.f64 (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (exp.f64 1/4) (log.f64 (.f64 a c)))) (.f64 (sqrt.f64 (pow.f64 (exp.f64 1/4) (log.f64 (.f64 a c)))) (pow.f64 (exp.f64 1/4) (log.f64 (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (exp.f64 1/4) (log.f64 (.f64 a c))) (sqrt.f64 (pow.f64 (exp.f64 1/4) (log.f64 (.f64 a c))))) (sqrt.f64 (pow.f64 (exp.f64 1/4) (log.f64 (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (exp.f64 1/4) (log.f64 a)) (pow.f64 (exp.f64 1/4) (log.f64 a))) (.f64 (pow.f64 (exp.f64 1/4) (log.f64 c)) (pow.f64 (exp.f64 1/4) (log.f64 c))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 (.f64 (log.f64 (.f64 a c)) 2)) (pow.f64 (exp.f64 1/2) (log.f64 (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (exp.f64 1/6) (.f64 (log.f64 (.f64 a c)) 2)) (pow.f64 (exp.f64 1/12) (.f64 (log.f64 (.f64 a c)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (exp.f64 1/8) (.f64 (log.f64 (.f64 a c)) 2)) (pow.f64 (exp.f64 1/8) (.f64 (log.f64 (.f64 a c)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (exp.f64 1/4) (log.f64 a)) 2) (pow.f64 (pow.f64 (exp.f64 1/4) (log.f64 c)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (exp.f64 1/4) (log.f64 (.f64 a c))) (cbrt.f64 (pow.f64 (exp.f64 1/2) (log.f64 (.f64 a c))))) (cbrt.f64 (pow.f64 (exp.f64 1/4) (log.f64 (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (exp.f64 1/4) (log.f64 (.f64 a c))) (pow.f64 (exp.f64 1/4) (log.f64 a))) (pow.f64 (exp.f64 1/4) (log.f64 c)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 1/2) (.f64 (log.f64 (.f64 a c)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (exp.f64 1/2) (log.f64 (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 1/2) (log.f64 (.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (log.f64 (.f64 a c))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (exp.f64 1/2) (log.f64 (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 a c)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 1/4 (.f64 (log.f64 (.f64 a c)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 a c)) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (exp.f64 1/2) (log.f64 (.f64 a c)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 b_2 a) (neg.f64 (/.f64 (pow.f64 (exp.f64 1/2) (log.f64 (.f64 a c))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 (pow.f64 (exp.f64 1/2) (log.f64 (.f64 a c))) b_2) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/2) (log.f64 (.f64 a c))) b_2) a))) (cbrt.f64 (exp.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/2) (log.f64 (.f64 a c))) b_2) a))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/2) (log.f64 (.f64 a c))) b_2) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/2) (log.f64 (.f64 a c))) b_2) a)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/2) (log.f64 (.f64 a c))) b_2) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 b_2 a) (/.f64 (pow.f64 (exp.f64 1/2) (log.f64 (.f64 a c))) a))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 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a)) (neg.f64 (/.f64 (pow.f64 (exp.f64 1/2) (log.f64 (.f64 a c))) a)))))))

simplify145.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

641×	`times-frac_binary64`
626×	`fma-neg_binary64`
436×	`fma-def_binary64`
408×	`exp-sum_binary64`
268×	`associate-r_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	80	2297
1	229	2056
2	589	1810
3	1424	1233
4	5307	1159

Stop Event

1×	node limit

Counts

261 → 186

Calls

Call 1

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

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

eval209.0ms (1.7%)

Compiler: Compiled 11562 to 5426 computations (53.1% saved)

prune185.0ms (1.5%)

Pruning

38 alts after pruning (29 fresh and 9 done)

	Pruned	Kept	Total
New	562	13	575
Fresh	5	16	21
Picked	1	0	1
Done	2	9	11
Total	570	38	608

Error

0.7b

Counts

608 → 38

Alt Table

Click to see full alt table

Status	Error	Program
	49.7b	(/.f64 (.f64 (-.f64 (.f64 b_2 b_2) (-.f64 (.f64 b_2 b_2) (.f64 a c))) (/.f64 1 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))))) a)
✓	36.7b	(*.f64 -1/2 (/.f64 c b_2))
	55.8b	(.f64 -1 (/.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (log.f64 (neg.f64 a))))) 2) a))
	62.4b	(/.f64 (/.f64 b_2 a) 1/2)
	55.9b	(/.f64 (-.f64 (neg.f64 (pow.f64 (exp.f64 1/4) (*.f64 2 (+.f64 (log.f64 (neg.f64 a)) (log.f64 c))))) b_2) a)
✓	55.5b	(/.f64 0 a)
	55.4b	(/.f64 (-.f64 (neg.f64 b_2) (-.f64 (.f64 1/2 (.f64 (/.f64 c b_2) a)) b_2)) a)
	62.4b	(*.f64 (/.f64 2 a) b_2)
	53.7b	(/.f64 (fma.f64 -1/8 (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b_2 3))) (fma.f64 -1/2 (/.f64 (.f64 c a) b_2) (/.f64 (pow.f64 (*.f64 c a) 3) (/.f64 (pow.f64 b_2 5) -1/16)))) a)
	46.6b	(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (E.f64) (log.f64 b_2))) a)
	37.4b	(/.f64 (fma.f64 (*.f64 a (/.f64 c b_2)) (/.f64 -1/8 b_2) -1/2) (/.f64 b_2 c))
	62.7b	(pow.f64 (cbrt.f64 (fma.f64 2 (/.f64 b_2 a) (/.f64 -1/2 (/.f64 b_2 c)))) 3)
	46.5b	(/.f64 (-.f64 (neg.f64 b_2) (exp.f64 (*.f64 (log.f64 (cbrt.f64 b_2)) 3))) a)
✓	37.1b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
✓	49.2b	(.f64 (/.f64 1 a) (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))
	54.2b	(-.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 c b_2) (fma.f64 (.f64 a (/.f64 c b_2)) (/.f64 -1/8 b_2) -1/2)))) 1)
	62.4b	(pow.f64 (cbrt.f64 (*.f64 2 (/.f64 b_2 a))) 3)
	63.2b	(exp.f64 (log.f64 (*.f64 2 (/.f64 b_2 a))))
	55.6b	(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 c b_2)) (fma.f64 (.f64 a (/.f64 c b_2)) (/.f64 -1/8 b_2) -1/2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 c b_2)) (fma.f64 (.f64 a (/.f64 c b_2)) (/.f64 -1/8 b_2) -1/2)))))
	36.8b	(*.f64 c (/.f64 -1/2 b_2))
	56.0b	(/.f64 1/2 (/.f64 b_2 c))
✓	47.7b	(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (*.f64 c (neg.f64 a)) 1/4) 2)) a)
	62.4b	(/.f64 1 (*.f64 1/2 (/.f64 a b_2)))
	46.4b	(/.f64 (-.f64 (neg.f64 b_2) (exp.f64 (log.f64 b_2))) a)
	59.0b	(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (pow.f64 b_2 6) 1/6)) a)
	37.5b	(pow.f64 (cbrt.f64 (.f64 (/.f64 c b_2) (fma.f64 (.f64 a (/.f64 c b_2)) (/.f64 -1/8 b_2) -1/2))) 3)
✓	49.1b	(pow.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) -1)
	53.8b	(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a))) 2)) a)
	53.4b	(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -1 c)) (log.f64 a)))) 2)) a)
✓	37.3b	(fma.f64 -1 (/.f64 b_2 a) (neg.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) a)))
	47.6b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))) a)
	40.6b	(/.f64 (*.f64 -1/2 (/.f64 a (/.f64 b_2 c))) a)
✓	44.1b	(/.f64 (*.f64 b_2 -2) a)
	38.2b	(.f64 (/.f64 c b_2) (+.f64 (/.f64 (.f64 -1/8 (.f64 a c)) (.f64 b_2 b_2)) -1/2))
	62.4b	(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 1/2 (/.f64 a b_2))) 2)) (cbrt.f64 (.f64 1/2 (/.f64 a b_2))))
	60.1b	(cbrt.f64 (/.f64 (pow.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) 3) (pow.f64 a 3)))
✓	59.2b	(/.f64 (neg.f64 b_2) a)
	62.4b	(/.f64 (/.f64 1 (*.f64 1/2 a)) (/.f64 1 b_2))

Compiler

Compiled 587 to 414 computations (29.5% saved)

regimes2.2s (17.5%)

Counts

64 → 5

Calls

Call 1

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

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

Calls

4 calls:

863.0ms	a
685.0ms	c
476.0ms	b_2
134.0ms	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Results

Error	Segments	Branch
24.5b	12	`a`
7.4b	5	`b_2`
26.0b	11	`c`
13.1b	5	`(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`

Compiler

Compiled 894 to 435 computations (51.3% saved)

bsearch684.0ms (5.5%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
137.0ms	9.81281980849348e+59	1.8188775552009304e+62
96.0ms	-2.667190118349455e-274	-1.6284781187449014e-280
243.0ms	-1.546007586310696e-215	-2.3350383547976982e-239
207.0ms	-5.951935715050363e-91	-1.9942732803528066e-105

Compiler

Compiled 1326 to 969 computations (26.9% saved)

regimes47.0ms (0.4%)

Accuracy

Total -10.1b remaining (-19.2%)

Threshold costs -10.1b (-19.2%)

Counts

3 → 2

Calls

Call 1

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

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

Calls

3 calls:

38.0ms	b_2
4.0ms	c
4.0ms	a

Results

Error	Segments	Branch
55.5b	1	`a`
52.4b	2	`b_2`
55.5b	1	`c`

Compiler

Compiled 26 to 16 computations (38.5% saved)

bsearch30.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
29.0ms	-1.6157953141689953e-252	-1.1982238156029882e-253

Compiler

Compiled 112 to 87 computations (22.3% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

19×	`+-commutative_binary64`
17×	`*-commutative_binary64`
15×	`sub-neg_binary64`
12×	`neg-sub0_binary64`
11×	`neg-mul-1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	54	134
1	78	132
2	105	132
3	132	132
4	146	132
5	152	132
6	154	132

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs

(if (<=.f64 b_2 -5164499756173817/2582249878086908589655919172003011874329705792829223512830659356540647622016841194629645353280137831435903171972747493376) (*.f64 -1/2 (/.f64 c b_2)) (if (<=.f64 b_2 -5630637621603525/234609900900146882186598677984664276915992487298421985521184355961332236331850990873356568705635355651517313099522045706849459083321945101930045653332497036251241466330965705541769635934035794134999367747434457067322823095146394284977019183976237427064832) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) (if (<=.f64 b_2 -2533781642964000/9745314011399999080353382387875188310876226857595007526867906457212948690766426102465615065882010259225304916231408668183459169865203094046577987296312653419531277699956473029870789655490053648352799593479218378873685597925394874945746363615468965612827738803104277547081828589991914110976) (/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) 2)) a) (if (<=.f64 b_2 999999999999999949387135297074018866963645011013410073083904) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) (+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2)))))))

(if (<=.f64 b_2 -845271249817064448/528294531135665246352339784916516606518847326036121522127960709026673902556724859474417255887657187894674394993257128678882347559502685537250538978462939576908386683999005084168731517676426441053024232908211188404148028292751561738838396898767036476489538580897737998336) (/.f64 0 a) (/.f64 (neg.f64 b_2) a))

Outputs
(if (<=.f64 b_2 -5164499756173817/2582249878086908589655919172003011874329705792829223512830659356540647622016841194629645353280137831435903171972747493376) (.f64 -1/2 (/.f64 c b_2)) (if (<=.f64 b_2 -5630637621603525/234609900900146882186598677984664276915992487298421985521184355961332236331850990873356568705635355651517313099522045706849459083321945101930045653332497036251241466330965705541769635934035794134999367747434457067322823095146394284977019183976237427064832) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (if (<=.f64 b_2 -2533781642964000/9745314011399999080353382387875188310876226857595007526867906457212948690766426102465615065882010259225304916231408668183459169865203094046577987296312653419531277699956473029870789655490053648352799593479218378873685597925394874945746363615468965612827738803104277547081828589991914110976) (/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) 2)) a) (if (<=.f64 b_2 999999999999999949387135297074018866963645011013410073083904) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (+.f64 (.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2)))))))
(if (<=.f64 b_2 -5164499756173817/2582249878086908589655919172003011874329705792829223512830659356540647622016841194629645353280137831435903171972747493376) (.f64 -1/2 (/.f64 c b_2)) (if (<=.f64 b_2 -5630637621603525/234609900900146882186598677984664276915992487298421985521184355961332236331850990873356568705635355651517313099522045706849459083321945101930045653332497036251241466330965705541769635934035794134999367747434457067322823095146394284977019183976237427064832) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) a) (if (<=.f64 b_2 -79180676342625/304541062856249971261043199621099634714882089299843985214622076787904646586450815702050470808812820600790778632231520880733099058287596688955562103009770419360352428123639782183462176734064176511024987296225574339802674935168589842054573862983405175400866837597008673346307143437247315968) (/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (neg.f64 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) 2)) a) (if (<=.f64 b_2 999999999999999949387135297074018866963645011013410073083904) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) a) (+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 (/.f64 c b_2) 1/2))))))
(if (<=.f64 b_2 -5164499756173817/2582249878086908589655919172003011874329705792829223512830659356540647622016841194629645353280137831435903171972747493376) (.f64 -1/2 (/.f64 c b_2)) (if (<=.f64 b_2 -5630637621603525/234609900900146882186598677984664276915992487298421985521184355961332236331850990873356568705635355651517313099522045706849459083321945101930045653332497036251241466330965705541769635934035794134999367747434457067322823095146394284977019183976237427064832) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) a) (if (<=.f64 b_2 -79180676342625/304541062856249971261043199621099634714882089299843985214622076787904646586450815702050470808812820600790778632231520880733099058287596688955562103009770419360352428123639782183462176734064176511024987296225574339802674935168589842054573862983405175400866837597008673346307143437247315968) (/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 c)) (log.f64 (/.f64 1 a))))) 2)) a) (if (<=.f64 b_2 999999999999999949387135297074018866963645011013410073083904) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) a) (+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 (/.f64 c b_2) 1/2))))))
(if (<=.f64 b_2 -845271249817064448/528294531135665246352339784916516606518847326036121522127960709026673902556724859474417255887657187894674394993257128678882347559502685537250538978462939576908386683999005084168731517676426441053024232908211188404148028292751561738838396898767036476489538580897737998336) (/.f64 0 a) (/.f64 (neg.f64 b_2) a))
(if (<=.f64 b_2 -825460204899477/515912628062173092140956821207535748553561841832149923953086629908861232965551620580485601452790222553392963860602664725471042538576841344971229471155214430574596371092778402508526872730885196340843977449424988675925808879640197010584371971452184059071815020407947264) (/.f64 0 a) (neg.f64 (/.f64 b_2 a)))

Compiler

Compiled 93 to 54 computations (41.9% saved)

soundness0.0ms (0%)

end66.0ms (0.5%)

Compiler: Compiled 90 to 50 computations (44.4% saved)

Details

analyze563.0ms (4.5%)

sample2.2s (17.3%)

preprocess207.0ms (1.7%)

simplify118.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

localize14.0ms (0.1%)

series26.0ms (0.2%)

rewrite128.0ms (1%)

simplify89.0ms (0.7%)

eval134.0ms (1.1%)

prune187.0ms (1.5%)

localize10.0ms (0.1%)

localize12.0ms (0.1%)

localize21.0ms (0.2%)

series2.0ms (0%)

rewrite100.0ms (0.8%)

simplify13.0ms (0.1%)

localize57.0ms (0.5%)

series75.0ms (0.6%)

rewrite129.0ms (1%)

simplify219.0ms (1.7%)

localize32.0ms (0.3%)

series528.0ms (4.2%)

rewrite187.0ms (1.5%)

simplify98.0ms (0.8%)

eval532.0ms (4.3%)

prune175.0ms (1.4%)

localize28.0ms (0.2%)

series20.0ms (0.2%)

rewrite129.0ms (1%)

simplify68.0ms (0.5%)

localize4.0ms (0%)

localize44.0ms (0.3%)

series36.0ms (0.3%)

rewrite90.0ms (0.7%)

simplify231.0ms (1.8%)

localize47.0ms (0.4%)

series174.0ms (1.4%)

rewrite86.0ms (0.7%)

simplify100.0ms (0.8%)

localize15.0ms (0.1%)

series137.0ms (1.1%)

rewrite85.0ms (0.7%)

simplify74.0ms (0.6%)

eval542.0ms (4.3%)

prune248.0ms (2%)

localize15.0ms (0.1%)

series24.0ms (0.2%)

rewrite72.0ms (0.6%)

simplify223.0ms (1.8%)

localize6.0ms (0%)

localize42.0ms (0.3%)

series6.0ms (0%)

rewrite61.0ms (0.5%)

simplify10.0ms (0.1%)

localize20.0ms (0.2%)

series6.0ms (0%)

rewrite88.0ms (0.7%)

simplify64.0ms (0.5%)

localize67.0ms (0.5%)

series167.0ms (1.3%)

rewrite97.0ms (0.8%)

simplify145.0ms (1.2%)

eval209.0ms (1.7%)

prune185.0ms (1.5%)

regimes2.2s (17.5%)

bsearch684.0ms (5.5%)

regimes47.0ms (0.4%)

bsearch30.0ms (0.2%)

simplify11.0ms (0.1%)

soundness0.0ms (0%)

end66.0ms (0.5%)

Profiling