Details

analyze292.0ms (1.9%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
0%	0%	95.2%	0.1%	0%	4.7%	0%	7
6.6%	6.2%	88.2%	0.1%	0%	5.5%	0%	8
11.2%	10.1%	80.4%	0.1%	1.2%	8.2%	0%	9
17.4%	15.2%	72.2%	0.1%	1.4%	11.1%	0%	10
26.2%	22.2%	62.5%	0.1%	2.1%	13%	0%	11
35.6%	29.1%	52.5%	0.1%	3.3%	15.1%	0%	12

Compiler

Compiled 17 to 11 computations (35.3% saved)

sample1.8s (12%)

Results

625.0ms	5483×	body	256	valid
418.0ms	1190×	body	2048	valid
267.0ms	429×	body	4096	valid
220.0ms	793×	body	1024	valid
129.0ms	1213×	body	256	invalid
73.0ms	361×	body	512	valid
72.0ms	320×	body	256	infinite

Bogosity

preprocess218.0ms (1.4%)

Algorithm

2×	egg-herbie

Rules

988×	`associate-+l-`
888×	`times-frac`
710×	`*-commutative`
672×	`fma-def`
650×	`associate--r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	156
1	65	140
2	111	140
3	210	140
4	409	140
5	692	140
6	1213	140
7	2057	140
8	4479	140
9	6365	140
0	3	3

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

simplify160.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

696×	`associate-/l*`
690×	`associate-r`
600×	`fma-def`
590×	`distribute-lft-in`
554×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	39
1	26	35
2	44	35
3	77	35
4	119	35
5	234	35
6	425	35
7	714	35
8	1198	35
9	1753	35
10	2156	35
11	3722	35
12	5085	35
13	5924	35
14	5932	35
15	5946	35
16	5974	35
17	5990	35
18	6026	35
19	6049	35
20	6061	35

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval0.0ms (0%)

Compiler: Compiled 28 to 12 computations (57.1% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

33.3b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	33.3b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)

Compiler

Compiled 15 to 9 computations (40% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
✓	1.2b	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	1.2b	(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)
✓	22.4b	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

Compiler

Compiled 49 to 9 computations (81.6% saved)

series41.0ms (0.3%)

Counts

4 → 96

Calls

36 calls:

Time	Variable		Point	Expression
26.0ms	a	@	-inf	(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)
1.0ms	a	@	inf	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
1.0ms	b_2	@	0	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
1.0ms	a	@	-inf	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
1.0ms	b_2	@	inf	(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)

rewrite146.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1812×	`associate-*l/`
1404×	`associate-/r*`
674×	`associate-+l+`
296×	`add-sqr-sqrt`
290×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	106
1	273	106
2	4100	106

Stop Event

1×	node limit

Counts

4 → 310

Calls

Call 1

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

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

simplify190.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1102×	`associate-r`
930×	`associate-/l*`
886×	`associate-l`
810×	`associate-+r+`
788×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	865	22556
1	2413	21450

Stop Event

1×	node limit

Counts

406 → 566

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 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 b_2))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 -1 b_2) (.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 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 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 c 4) (pow.f64 a 4))) (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2)) (pow.f64 b_2 7))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (*.f64 c a) b_2)))))
(*.f64 -2 b_2)
(+.f64 (.f64 -2 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(+.f64 (.f64 -2 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 c a) b_2))))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -2 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 (.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 3))) 2) (.f64 1/16 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)))) (pow.f64 a 4)) b_2)) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 4) (+.f64 (.f64 1/16 (/.f64 (pow.f64 a 4) (pow.f64 b_2 6))) (pow.f64 (.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 b_2 3))) 2))) b_2)) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))))
(.f64 -1 (.f64 c a))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
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(log.f64 (+.f64 1 (expm1.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))
(cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3))
(expm1.f64 (log1p.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
(exp.f64 (log.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
(exp.f64 (.f64 (log.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) 1))
(log1p.f64 (expm1.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
(fma.f64 b_2 b_2 (*.f64 a (neg.f64 c)))
(fma.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (fma.f64 (neg.f64 c) a (*.f64 a c)))
(fma.f64 1 (.f64 b_2 b_2) (.f64 a (neg.f64 c)))
(fma.f64 1 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (fma.f64 (neg.f64 c) a (*.f64 a c)))
(fma.f64 (cbrt.f64 (pow.f64 b_2 4)) (pow.f64 (cbrt.f64 b_2) 2) (*.f64 a (neg.f64 c)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 2) (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (fma.f64 (neg.f64 c) a (*.f64 a c)))
(+.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a) (neg.f64 (/.f64 b_2 a)))
(+.f64 (neg.f64 (/.f64 b_2 a)) (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a))
(-.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a) (/.f64 b_2 a))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a))) 1)
(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2) (/.f64 1 a))
(.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2) a) 1)
(.f64 1 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2) a))
(.f64 (sqrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) (.f64 (sqrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) (/.f64 1 a)))
(.f64 (sqrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)) (sqrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2) a)))
(.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) 2) (.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) (/.f64 1 a)))
(.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2) a)) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)) 2) (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2) a)))
(.f64 (/.f64 1 a) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2))
(.f64 (neg.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2)) (/.f64 -1 a))
(.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2) (sqrt.f64 a)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2) (cbrt.f64 a)))
(.f64 (/.f64 (sqrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) 1) (/.f64 (sqrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2)) a))
(.f64 (/.f64 (sqrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (sqrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2)) (cbrt.f64 a)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) 2) 1) (/.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2)) a))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) 2) (sqrt.f64 a)) (/.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2)) (sqrt.f64 a)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) 2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2) a)))
(pow.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) 1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) 3) 1/3)
(pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) -1)
(neg.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) (neg.f64 a)))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) 3))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)))
(exp.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)))
(exp.f64 (.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2) a)) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)))

Outputs
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))
(.f64 (sqrt.f64 -1) (sqrt.f64 (.f64 c a)))
(+.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 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2)))))
(+.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 (pow.f64 (.f64 c 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 (pow.f64 (.f64 c 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 b_2 (/.f64 (sqrt.f64 -1) b_2))))))
(+.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 (pow.f64 (.f64 c 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 (pow.f64 (.f64 c 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 b_2 (/.f64 (sqrt.f64 -1) 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))))
(+.f64 b_2 (/.f64 (.f64 (.f64 c -1/2) a) b_2))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (+.f64 b_2 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))))
(fma.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) (+.f64 b_2 (/.f64 (.f64 (*.f64 c -1/2) a) b_2)))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))))
(fma.f64 -1/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 5)) (fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (+.f64 b_2 (.f64 -1/2 (/.f64 c (/.f64 b_2 a))))))
(fma.f64 -1/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 5)) (fma.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) (+.f64 b_2 (/.f64 (.f64 (.f64 c -1/2) a) b_2))))
(*.f64 -1 b_2)
(neg.f64 b_2)
(+.f64 (.f64 -1 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(fma.f64 -1 b_2 (*.f64 1/2 (/.f64 c (/.f64 b_2 a))))
(fma.f64 -1 b_2 (/.f64 (*.f64 c 1/2) (/.f64 b_2 a)))
(+.f64 (.f64 -1 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 c a) b_2))))
(fma.f64 -1 b_2 (fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (*.f64 1/2 (/.f64 c (/.f64 b_2 a)))))
(fma.f64 -1 b_2 (fma.f64 1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) (/.f64 (.f64 c 1/2) (/.f64 b_2 a))))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))))
(fma.f64 1/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 5)) (fma.f64 -1 b_2 (fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (.f64 1/2 (/.f64 c (/.f64 b_2 a))))))
(fma.f64 1/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 5)) (fma.f64 -1 b_2 (fma.f64 1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) (/.f64 (*.f64 c 1/2) (/.f64 b_2 a)))))
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))))
(+.f64 b_2 (/.f64 (.f64 (.f64 c -1/2) a) b_2))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (+.f64 b_2 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))))
(fma.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) (+.f64 b_2 (/.f64 (.f64 (*.f64 c -1/2) a) b_2)))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))))
(fma.f64 -1/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 5)) (fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (+.f64 b_2 (.f64 -1/2 (/.f64 c (/.f64 b_2 a))))))
(fma.f64 -1/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 5)) (fma.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) (+.f64 b_2 (/.f64 (.f64 (.f64 c -1/2) a) b_2))))
b_2
(+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 b_2 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))))
(+.f64 b_2 (/.f64 (.f64 (.f64 c -1/2) a) b_2))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (+.f64 b_2 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))))
(fma.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) (+.f64 b_2 (/.f64 (.f64 (*.f64 c -1/2) a) b_2)))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))))
(fma.f64 -1/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 5)) (fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (+.f64 b_2 (.f64 -1/2 (/.f64 c (/.f64 b_2 a))))))
(fma.f64 -1/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 5)) (fma.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) (+.f64 b_2 (/.f64 (.f64 (.f64 c -1/2) a) b_2))))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))
(.f64 (sqrt.f64 -1) (sqrt.f64 (.f64 c a)))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 b_2))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) (neg.f64 b_2))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 -1 b_2) (.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 b_2 (.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 b_2 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2))))))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 -1 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 1/2 (.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 b_2 (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 c 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 b_2 (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 c 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 b_2 (/.f64 (sqrt.f64 -1) b_2)))))))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 (.f64 (.f64 c -1/2) 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)))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))))
(fma.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) (/.f64 (.f64 (*.f64 c -1/2) a) b_2))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
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(-.f64 (fma.f64 b_2 b_2 (fma.f64 (neg.f64 c) a (.f64 c a))) (.f64 c a))
(-.f64 (fma.f64 b_2 b_2 (.f64 0 (.f64 c a))) (*.f64 c a))
(fma.f64 (cbrt.f64 (pow.f64 b_2 4)) (pow.f64 (cbrt.f64 b_2) 2) (*.f64 a (neg.f64 c)))
(fma.f64 (cbrt.f64 (pow.f64 b_2 4)) (pow.f64 (cbrt.f64 b_2) 2) (*.f64 c (neg.f64 a)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 2) (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (fma.f64 (neg.f64 c) a (*.f64 a c)))
(-.f64 (fma.f64 b_2 b_2 (fma.f64 (neg.f64 c) a (.f64 c a))) (.f64 c a))
(-.f64 (fma.f64 b_2 b_2 (.f64 0 (.f64 c a))) (*.f64 c a))
(+.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a) (neg.f64 (/.f64 b_2 a)))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(+.f64 (neg.f64 (/.f64 b_2 a)) (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(-.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a) (/.f64 b_2 a))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a))) 1)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2) (/.f64 1 a))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2) a) 1)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(.f64 1 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2) a))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(.f64 (sqrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) (.f64 (sqrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) (/.f64 1 a)))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(.f64 (sqrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)) (sqrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2) a)))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) 2) (.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) (/.f64 1 a)))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2) a)) 2))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)) 2) (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2) a)))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(.f64 (/.f64 1 a) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(.f64 (neg.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2)) (/.f64 -1 a))
(.f64 (neg.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))) b_2)) (/.f64 -1 a))
(/.f64 (neg.f64 (neg.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2))) a)
(.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2) (sqrt.f64 a)))
(.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))) b_2) (sqrt.f64 a)))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) (sqrt.f64 a)) (sqrt.f64 a))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2) (cbrt.f64 a)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))) b_2) (cbrt.f64 a)))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
(.f64 (/.f64 (sqrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) 1) (/.f64 (sqrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2)) a))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(.f64 (/.f64 (sqrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (sqrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2)) (cbrt.f64 a)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))) b_2) (cbrt.f64 a)))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) 2) 1) (/.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2)) a))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) 2) (sqrt.f64 a)) (/.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2)) (sqrt.f64 a)))
(.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))) b_2) (sqrt.f64 a)))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) (sqrt.f64 a)) (sqrt.f64 a))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) 2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2) a)))
(.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))) b_2)) 2) (pow.f64 (cbrt.f64 a) 2)))
(pow.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) 1)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)) 2)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)) 3)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(pow.f64 (pow.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) 3) 1/3)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) -1)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(neg.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) (neg.f64 a)))
(/.f64 (neg.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2)) (neg.f64 a))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) 2))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a))))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) 3))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(exp.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(exp.f64 (.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2) a)) 1))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)

eval232.0ms (1.5%)

Compiler: Compiled 16503 to 5604 computations (66% saved)

prune126.0ms (0.8%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	551	15	566
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	551	16	567

Error

6.2b

Counts

567 → 16

Alt Table

Click to see full alt table

Status	Error	Program
	33.4b	(pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) -1)
	33.5b	(/.f64 (pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) 2) a)
▶	43.2b	(/.f64 (/.f64 (-.f64 (.f64 b_2 b_2) (+.f64 (.f64 c a) (.f64 b_2 b_2))) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))) (neg.f64 b_2))) a)
	33.9b	(/.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
	43.3b	(/.f64 (/.f64 (.f64 (.f64 c -1/2) a) b_2) a)
✓	33.3b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
	33.4b	(/.f64 (-.f64 (sqrt.f64 (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 2 (.f64 2 (fma.f64 (neg.f64 c) a (*.f64 c a)))))) b_2) a)
	43.8b	(/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)
▶	54.0b	(/.f64 (-.f64 b_2 b_2) a)
	48.8b	(/.f64 (+.f64 (.f64 -2 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2))) a)
	47.6b	(/.f64 (*.f64 b_2 -2) a)
	43.5b	(/.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) a)
	39.8b	(/.f64 -1/2 (/.f64 b_2 c))
▶	47.8b	(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
▶	33.4b	(.f64 (/.f64 1 a) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2))
▶	39.3b	(*.f64 -1/2 (/.f64 c b_2))

Compiler

Compiled 467 to 297 computations (36.4% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (/.f64 1 a) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2))
	1.2b	(-.f64 (.f64 b_2 b_2) (.f64 a c))
	1.2b	(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)
	22.4b	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

Compiler

Compiled 55 to 14 computations (74.5% saved)

series2.0ms (0%)

Counts

1 → 20

Calls

9 calls:

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

rewrite122.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1930×	`associate-*l/`
766×	`associate-/r*`
686×	`associate-+l+`
318×	`add-sqr-sqrt`
308×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	35
1	304	35
2	4244	35

Stop Event

1×	node limit

Counts

1 → 130

Calls

Call 1

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

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

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simplify150.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1314×	`distribute-lft-in`
1310×	`distribute-rgt-in`
1034×	`associate-/l*`
580×	`times-frac`
576×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	440	9018
1	1257	8644
2	5599	8644

Stop Event

1×	node limit

Counts

150 → 195

Calls

Call 1

Inputs
(*.f64 -1/2 (/.f64 c b_2))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
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(/.f64 (.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a (neg.f64 c)))) b_2)) 2) (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c)))) b_2) a))) (pow.f64 (cbrt.f64 a) 2))
(/.f64 (/.f64 (/.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (.f64 a c))) a) 1) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c))))))
(/.f64 (/.f64 (/.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (.f64 a c))) a) (sqrt.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a (neg.f64 c))))))) (sqrt.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a (neg.f64 c)))))))
(/.f64 (/.f64 (/.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (.f64 a c))) a) (.f64 (cbrt.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a (neg.f64 c)))))) (cbrt.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a (neg.f64 c)))))))) (cbrt.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a (neg.f64 c)))))))
(/.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 b_2 b_2 (.f64 a (neg.f64 c))) 3/2) (pow.f64 b_2 3)) a) 1) (+.f64 (fma.f64 b_2 b_2 (.f64 a (neg.f64 c))) (.f64 b_2 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a (neg.f64 c))))))))
(/.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 b_2 b_2 (.f64 a (neg.f64 c))) 3/2) (pow.f64 b_2 3)) a) (sqrt.f64 (+.f64 (fma.f64 b_2 b_2 (.f64 a (neg.f64 c))) (.f64 b_2 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a (neg.f64 c))))))))) (sqrt.f64 (+.f64 (fma.f64 b_2 b_2 (.f64 a (neg.f64 c))) (.f64 b_2 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c)))))))))
(/.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 b_2 b_2 (.f64 a (neg.f64 c))) 3/2) (pow.f64 b_2 3)) a) (.f64 (cbrt.f64 (+.f64 (fma.f64 b_2 b_2 (.f64 a (neg.f64 c))) (.f64 b_2 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a (neg.f64 c)))))))) (cbrt.f64 (+.f64 (fma.f64 b_2 b_2 (.f64 a (neg.f64 c))) (.f64 b_2 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a (neg.f64 c)))))))))) (cbrt.f64 (+.f64 (fma.f64 b_2 b_2 (.f64 a (neg.f64 c))) (.f64 b_2 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c)))))))))
(/.f64 (/.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a (neg.f64 c)))) b_2) -1) 1) (neg.f64 a))
(/.f64 (/.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a (neg.f64 c)))) b_2) -1) (sqrt.f64 a)) (neg.f64 (sqrt.f64 a)))
(/.f64 (/.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a (neg.f64 c)))) b_2) -1) (pow.f64 (cbrt.f64 a) 2)) (neg.f64 (cbrt.f64 a)))
(/.f64 (/.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a (neg.f64 c)))) b_2) -1) -1) a)
(/.f64 (/.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a (neg.f64 c)))) b_2) -1) (sqrt.f64 (neg.f64 a))) (sqrt.f64 (neg.f64 a)))
(/.f64 (/.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a (neg.f64 c)))) b_2) -1) (*.f64 (cbrt.f64 (neg.f64 a)) (cbrt.f64 (neg.f64 a)))) (cbrt.f64 (neg.f64 a)))
(/.f64 (/.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a (neg.f64 c)))) b_2) -1) (neg.f64 (sqrt.f64 a))) (sqrt.f64 a))
(/.f64 (/.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a (neg.f64 c)))) b_2) -1) (neg.f64 (pow.f64 (cbrt.f64 a) 2))) (cbrt.f64 a))
(/.f64 (/.f64 (.f64 -1 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a (neg.f64 c)))) b_2)) 1) (neg.f64 a))
(/.f64 (/.f64 (.f64 -1 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a (neg.f64 c)))) b_2)) (sqrt.f64 a)) (neg.f64 (sqrt.f64 a)))
(/.f64 (/.f64 (.f64 -1 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a (neg.f64 c)))) b_2)) (pow.f64 (cbrt.f64 a) 2)) (neg.f64 (cbrt.f64 a)))
(/.f64 (/.f64 (.f64 -1 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a (neg.f64 c)))) b_2)) -1) a)
(/.f64 (/.f64 (.f64 -1 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a (neg.f64 c)))) b_2)) (sqrt.f64 (neg.f64 a))) (sqrt.f64 (neg.f64 a)))
(/.f64 (/.f64 (.f64 -1 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a (neg.f64 c)))) b_2)) (*.f64 (cbrt.f64 (neg.f64 a)) (cbrt.f64 (neg.f64 a)))) (cbrt.f64 (neg.f64 a)))
(/.f64 (/.f64 (.f64 -1 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a (neg.f64 c)))) b_2)) (neg.f64 (sqrt.f64 a))) (sqrt.f64 a))
(/.f64 (/.f64 (.f64 -1 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a (neg.f64 c)))) b_2)) (neg.f64 (pow.f64 (cbrt.f64 a) 2))) (cbrt.f64 a))
(/.f64 (/.f64 (.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (.f64 a c))) (/.f64 1 a)) 1) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a (neg.f64 c))))))
(/.f64 (/.f64 (.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (.f64 a c))) (/.f64 1 a)) (sqrt.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a (neg.f64 c))))))) (sqrt.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c)))))))
(/.f64 (/.f64 (.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (.f64 a c))) (/.f64 1 a)) (.f64 (cbrt.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a (neg.f64 c)))))) (cbrt.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a (neg.f64 c)))))))) (cbrt.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c)))))))
(/.f64 (/.f64 (.f64 (-.f64 (pow.f64 (fma.f64 b_2 b_2 (.f64 a (neg.f64 c))) 3/2) (pow.f64 b_2 3)) (/.f64 1 a)) 1) (+.f64 (fma.f64 b_2 b_2 (.f64 a (neg.f64 c))) (.f64 b_2 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c))))))))
(/.f64 (/.f64 (.f64 (-.f64 (pow.f64 (fma.f64 b_2 b_2 (.f64 a (neg.f64 c))) 3/2) (pow.f64 b_2 3)) (/.f64 1 a)) (sqrt.f64 (+.f64 (fma.f64 b_2 b_2 (.f64 a (neg.f64 c))) (.f64 b_2 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a (neg.f64 c))))))))) (sqrt.f64 (+.f64 (fma.f64 b_2 b_2 (.f64 a (neg.f64 c))) (.f64 b_2 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a (neg.f64 c)))))))))
(/.f64 (/.f64 (.f64 (-.f64 (pow.f64 (fma.f64 b_2 b_2 (.f64 a (neg.f64 c))) 3/2) (pow.f64 b_2 3)) (/.f64 1 a)) (.f64 (cbrt.f64 (+.f64 (fma.f64 b_2 b_2 (.f64 a (neg.f64 c))) (.f64 b_2 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a (neg.f64 c)))))))) (cbrt.f64 (+.f64 (fma.f64 b_2 b_2 (.f64 a (neg.f64 c))) (.f64 b_2 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a (neg.f64 c)))))))))) (cbrt.f64 (+.f64 (fma.f64 b_2 b_2 (.f64 a (neg.f64 c))) (.f64 b_2 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a (neg.f64 c)))))))))
(/.f64 (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c)))) b_2) 1) 1) a)
(/.f64 (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c)))) b_2) (sqrt.f64 a)) 1) (sqrt.f64 a))
(/.f64 (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c)))) b_2) (sqrt.f64 a)) (cbrt.f64 a)) (cbrt.f64 (sqrt.f64 a)))
(/.f64 (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c)))) b_2) (sqrt.f64 a)) (sqrt.f64 (pow.f64 (cbrt.f64 a) 2))) (sqrt.f64 (cbrt.f64 a)))
(/.f64 (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c)))) b_2) (sqrt.f64 a)) (sqrt.f64 (sqrt.f64 a))) (sqrt.f64 (sqrt.f64 a)))
(/.f64 (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c)))) b_2) (pow.f64 (cbrt.f64 a) 2)) 1) (cbrt.f64 a))
(/.f64 (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c)))) b_2) (pow.f64 (cbrt.f64 a) 2)) (sqrt.f64 (cbrt.f64 a))) (sqrt.f64 (cbrt.f64 a)))
(/.f64 (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c)))) b_2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 a) 2))) (cbrt.f64 (cbrt.f64 a)))
(/.f64 (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a (neg.f64 c)))) b_2) (pow.f64 (cbrt.f64 a) 2)) (.f64 (cbrt.f64 (cbrt.f64 a)) (cbrt.f64 (cbrt.f64 a)))) (cbrt.f64 (cbrt.f64 a)))
(/.f64 (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c)))) b_2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 (sqrt.f64 a))) (cbrt.f64 (sqrt.f64 a)))
(/.f64 (/.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c)))) b_2)) 1) (neg.f64 a))
(/.f64 (/.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c)))) b_2)) (sqrt.f64 a)) (neg.f64 (sqrt.f64 a)))
(/.f64 (/.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c)))) b_2)) (pow.f64 (cbrt.f64 a) 2)) (neg.f64 (cbrt.f64 a)))
(/.f64 (/.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c)))) b_2)) -1) a)
(/.f64 (/.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c)))) b_2)) (sqrt.f64 (neg.f64 a))) (sqrt.f64 (neg.f64 a)))
(/.f64 (/.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a (neg.f64 c)))) b_2)) (.f64 (cbrt.f64 (neg.f64 a)) (cbrt.f64 (neg.f64 a)))) (cbrt.f64 (neg.f64 a)))
(/.f64 (/.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c)))) b_2)) (neg.f64 (sqrt.f64 a))) (sqrt.f64 a))
(/.f64 (/.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c)))) b_2)) (neg.f64 (pow.f64 (cbrt.f64 a) 2))) (cbrt.f64 a))
(pow.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c)))) b_2) a) 1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c)))) b_2) a)) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c)))) b_2) a)) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c)))) b_2) a) 3) 1/3)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c)))) b_2) a) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c)))) b_2) a)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c)))) b_2) a))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c)))) b_2) a) 3))
(cbrt.f64 (.f64 (/.f64 (pow.f64 a -2) a) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a (neg.f64 c)))) b_2) 3)))
(cbrt.f64 (.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a (neg.f64 c)))) b_2) 3) (/.f64 (pow.f64 a -2) a)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c)))) b_2) a)))
(exp.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c)))) b_2) a)))
(exp.f64 (.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a (neg.f64 c)))) b_2) a)) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c)))) b_2) a)))

Outputs
(*.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 -1/2 (/.f64 c b_2) (/.f64 (.f64 -1/8 (.f64 c c)) (/.f64 (pow.f64 b_2 3) 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 -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 c (/.f64 (pow.f64 b_2 3) c)) 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))))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 (.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 3))) 2) (.f64 1/16 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)))) (pow.f64 a 3)) b_2)) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2)))))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (fma.f64 -1/2 (/.f64 (+.f64 (pow.f64 (/.f64 (.f64 -1/8 (.f64 c c)) (pow.f64 b_2 3)) 2) (/.f64 (.f64 1/16 (pow.f64 c 4)) (pow.f64 b_2 6))) (/.f64 b_2 (pow.f64 a 3))) (fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (.f64 a a))) (.f64 -1/2 (/.f64 c b_2)))))
(fma.f64 -1/8 (.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) c)) a) (fma.f64 -1/2 (.f64 (/.f64 (fma.f64 1/16 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)) (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)) 1/64)) b_2) (pow.f64 a 3)) (fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (.f64 a a))) (*.f64 -1/2 (/.f64 c b_2)))))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (.f64 -1 (/.f64 b_2 a)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (/.f64 (neg.f64 b_2) a))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (+.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 b_2 a))))
(fma.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 b_2) (sqrt.f64 -1))) (/.f64 (neg.f64 b_2) a)))
(-.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (.f64 (/.f64 (.f64 b_2 b_2) (sqrt.f64 -1)) 1/2))) (/.f64 b_2 a))
(+.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 (/.f64 b_2 a)))))
(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 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 (neg.f64 b_2) a))))
(fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (-.f64 (fma.f64 (.f64 -1/8 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 5))))) (/.f64 (pow.f64 b_2 4) (.f64 -1 (sqrt.f64 -1))) (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1)) 1/2))) (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 c b_2))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/2 (/.f64 c b_2) (/.f64 (.f64 -1/8 (.f64 c c)) (/.f64 (pow.f64 b_2 3) a)))
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(/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c)))) b_2) a)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(exp.f64 (.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a (neg.f64 c)))) b_2) a)) 1))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c)))) b_2) a)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c)))) b_2) a)))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c)))) b_2) a)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)

localize5.0ms (0%)

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

localize5.0ms (0%)

Compiler: Compiled 13 to 5 computations (61.5% saved)

localize13.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 35 to 16 computations (54.3% saved)

series2.0ms (0%)

Counts

1 → 0

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	b_2	@	0	(*.f64 -2 (/.f64 b_2 a))
0.0ms	b_2	@	inf	(*.f64 -2 (/.f64 b_2 a))
0.0ms	a	@	0	(*.f64 -2 (/.f64 b_2 a))
0.0ms	a	@	inf	(*.f64 -2 (/.f64 b_2 a))
0.0ms	b_2	@	-inf	(*.f64 -2 (/.f64 b_2 a))

rewrite53.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1518×	`add-sqr-sqrt`
1500×	`*-un-lft-identity`
1400×	`add-cube-cbrt`
1384×	`add-cbrt-cube`
1370×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	147	13
2	1849	13

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

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

simplify43.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1024×	`associate-r`
970×	`distribute-rgt-neg-out`
964×	`distribute-lft-neg-out`
922×	`associate-l`
650×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	61	531
1	144	417
2	545	297
3	3962	297

Stop Event

1×	node limit

Counts

21 → 28

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (*.f64 -2 (/.f64 b_2 a))) 1)
(/.f64 -2 (/.f64 a b_2))
(/.f64 1 (/.f64 a (*.f64 -2 b_2)))
(/.f64 (*.f64 -2 b_2) a)
(/.f64 (*.f64 -2 (neg.f64 b_2)) (neg.f64 a))
(/.f64 (*.f64 (neg.f64 b_2) -2) (neg.f64 a))
(/.f64 (/.f64 (*.f64 -2 b_2) 1) a)
(/.f64 (/.f64 (*.f64 -2 b_2) (sqrt.f64 a)) (sqrt.f64 a))
(/.f64 (/.f64 (.f64 -2 b_2) (cbrt.f64 (.f64 a a))) (cbrt.f64 a))
(/.f64 (neg.f64 (*.f64 -2 b_2)) (neg.f64 a))
(pow.f64 (*.f64 -2 (/.f64 b_2 a)) 1)
(pow.f64 (sqrt.f64 (*.f64 -2 (/.f64 b_2 a))) 2)
(pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 b_2 a))) 3)
(pow.f64 (pow.f64 (*.f64 -2 (/.f64 b_2 a)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 (/.f64 b_2 a) 2) 4))
(log.f64 (pow.f64 (exp.f64 (/.f64 b_2 a)) -2))
(cbrt.f64 (pow.f64 (*.f64 -2 (/.f64 b_2 a)) 3))
(expm1.f64 (log1p.f64 (*.f64 -2 (/.f64 b_2 a))))
(exp.f64 (log.f64 (*.f64 -2 (/.f64 b_2 a))))
(exp.f64 (.f64 (log.f64 (.f64 -2 (/.f64 b_2 a))) 1))
(log1p.f64 (expm1.f64 (*.f64 -2 (/.f64 b_2 a))))

Outputs
(-.f64 (+.f64 1 (*.f64 -2 (/.f64 b_2 a))) 1)
(+.f64 (+.f64 1 (*.f64 -2 (/.f64 b_2 a))) -1)
(+.f64 (*.f64 -2 (/.f64 b_2 a)) 0)
(*.f64 -2 (/.f64 b_2 a))
(/.f64 -2 (/.f64 a b_2))
(+.f64 (+.f64 1 (*.f64 -2 (/.f64 b_2 a))) -1)
(+.f64 (*.f64 -2 (/.f64 b_2 a)) 0)
(*.f64 -2 (/.f64 b_2 a))
(/.f64 1 (/.f64 a (*.f64 -2 b_2)))
(+.f64 (+.f64 1 (*.f64 -2 (/.f64 b_2 a))) -1)
(+.f64 (*.f64 -2 (/.f64 b_2 a)) 0)
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (*.f64 -2 b_2) a)
(+.f64 (+.f64 1 (*.f64 -2 (/.f64 b_2 a))) -1)
(+.f64 (*.f64 -2 (/.f64 b_2 a)) 0)
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (*.f64 -2 (neg.f64 b_2)) (neg.f64 a))
(+.f64 (+.f64 1 (*.f64 -2 (/.f64 b_2 a))) -1)
(+.f64 (*.f64 -2 (/.f64 b_2 a)) 0)
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (*.f64 (neg.f64 b_2) -2) (neg.f64 a))
(+.f64 (+.f64 1 (*.f64 -2 (/.f64 b_2 a))) -1)
(+.f64 (*.f64 -2 (/.f64 b_2 a)) 0)
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (/.f64 (*.f64 -2 b_2) 1) a)
(+.f64 (+.f64 1 (*.f64 -2 (/.f64 b_2 a))) -1)
(+.f64 (*.f64 -2 (/.f64 b_2 a)) 0)
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (/.f64 (*.f64 -2 b_2) (sqrt.f64 a)) (sqrt.f64 a))
(+.f64 (+.f64 1 (*.f64 -2 (/.f64 b_2 a))) -1)
(+.f64 (*.f64 -2 (/.f64 b_2 a)) 0)
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (/.f64 (.f64 -2 b_2) (cbrt.f64 (.f64 a a))) (cbrt.f64 a))
(/.f64 (.f64 -2 b_2) (.f64 (cbrt.f64 a) (cbrt.f64 (*.f64 a a))))
(.f64 (/.f64 -2 (cbrt.f64 a)) (/.f64 b_2 (cbrt.f64 (.f64 a a))))
(.f64 (/.f64 -2 (cbrt.f64 (.f64 a a))) (/.f64 b_2 (cbrt.f64 a)))
(/.f64 (neg.f64 (*.f64 -2 b_2)) (neg.f64 a))
(+.f64 (+.f64 1 (*.f64 -2 (/.f64 b_2 a))) -1)
(+.f64 (*.f64 -2 (/.f64 b_2 a)) 0)
(*.f64 -2 (/.f64 b_2 a))
(pow.f64 (*.f64 -2 (/.f64 b_2 a)) 1)
(+.f64 (+.f64 1 (*.f64 -2 (/.f64 b_2 a))) -1)
(+.f64 (*.f64 -2 (/.f64 b_2 a)) 0)
(*.f64 -2 (/.f64 b_2 a))
(pow.f64 (sqrt.f64 (*.f64 -2 (/.f64 b_2 a))) 2)
(+.f64 (+.f64 1 (*.f64 -2 (/.f64 b_2 a))) -1)
(+.f64 (*.f64 -2 (/.f64 b_2 a)) 0)
(*.f64 -2 (/.f64 b_2 a))
(pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 b_2 a))) 3)
(+.f64 (+.f64 1 (*.f64 -2 (/.f64 b_2 a))) -1)
(+.f64 (*.f64 -2 (/.f64 b_2 a)) 0)
(*.f64 -2 (/.f64 b_2 a))
(pow.f64 (pow.f64 (*.f64 -2 (/.f64 b_2 a)) 3) 1/3)
(+.f64 (+.f64 1 (*.f64 -2 (/.f64 b_2 a))) -1)
(+.f64 (*.f64 -2 (/.f64 b_2 a)) 0)
(*.f64 -2 (/.f64 b_2 a))
(sqrt.f64 (*.f64 (pow.f64 (/.f64 b_2 a) 2) 4))
(fabs.f64 (*.f64 -2 (/.f64 b_2 a)))
(log.f64 (pow.f64 (exp.f64 (/.f64 b_2 a)) -2))
(+.f64 (+.f64 1 (*.f64 -2 (/.f64 b_2 a))) -1)
(+.f64 (*.f64 -2 (/.f64 b_2 a)) 0)
(*.f64 -2 (/.f64 b_2 a))
(cbrt.f64 (pow.f64 (*.f64 -2 (/.f64 b_2 a)) 3))
(+.f64 (+.f64 1 (*.f64 -2 (/.f64 b_2 a))) -1)
(+.f64 (*.f64 -2 (/.f64 b_2 a)) 0)
(*.f64 -2 (/.f64 b_2 a))
(expm1.f64 (log1p.f64 (*.f64 -2 (/.f64 b_2 a))))
(+.f64 (+.f64 1 (*.f64 -2 (/.f64 b_2 a))) -1)
(+.f64 (*.f64 -2 (/.f64 b_2 a)) 0)
(*.f64 -2 (/.f64 b_2 a))
(exp.f64 (log.f64 (*.f64 -2 (/.f64 b_2 a))))
(+.f64 (+.f64 1 (*.f64 -2 (/.f64 b_2 a))) -1)
(+.f64 (*.f64 -2 (/.f64 b_2 a)) 0)
(*.f64 -2 (/.f64 b_2 a))
(exp.f64 (.f64 (log.f64 (.f64 -2 (/.f64 b_2 a))) 1))
(+.f64 (+.f64 1 (*.f64 -2 (/.f64 b_2 a))) -1)
(+.f64 (*.f64 -2 (/.f64 b_2 a)) 0)
(*.f64 -2 (/.f64 b_2 a))
(log1p.f64 (expm1.f64 (*.f64 -2 (/.f64 b_2 a))))
(+.f64 (+.f64 1 (*.f64 -2 (/.f64 b_2 a))) -1)
(+.f64 (*.f64 -2 (/.f64 b_2 a)) 0)
(*.f64 -2 (/.f64 b_2 a))

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.2b	(-.f64 (.f64 b_2 b_2) (.f64 c a))
✓	6.3b	(/.f64 (-.f64 (.f64 b_2 b_2) (+.f64 (.f64 c a) (.f64 b_2 b_2))) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))) (neg.f64 b_2)))
✓	18.7b	(-.f64 (.f64 b_2 b_2) (+.f64 (.f64 c a) (*.f64 b_2 b_2)))
✓	22.4b	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))

Compiler

Compiled 106 to 13 computations (87.7% saved)

series38.0ms (0.3%)

Counts

4 → 112

Calls

36 calls:

Time	Variable		Point	Expression
22.0ms	b_2	@	-inf	(/.f64 (-.f64 (.f64 b_2 b_2) (+.f64 (.f64 c a) (.f64 b_2 b_2))) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))) (neg.f64 b_2)))
3.0ms	c	@	-inf	(/.f64 (-.f64 (.f64 b_2 b_2) (+.f64 (.f64 c a) (.f64 b_2 b_2))) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))) (neg.f64 b_2)))
3.0ms	c	@	inf	(/.f64 (-.f64 (.f64 b_2 b_2) (+.f64 (.f64 c a) (.f64 b_2 b_2))) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))) (neg.f64 b_2)))
2.0ms	a	@	inf	(/.f64 (-.f64 (.f64 b_2 b_2) (+.f64 (.f64 c a) (.f64 b_2 b_2))) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))) (neg.f64 b_2)))
1.0ms	c	@	0	(/.f64 (-.f64 (.f64 b_2 b_2) (+.f64 (.f64 c a) (.f64 b_2 b_2))) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))) (neg.f64 b_2)))

rewrite160.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

866×	`associate-+l+`
408×	`associate-+r+`
402×	`associate-+l-`
398×	`+-commutative`
388×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	134
1	357	98
2	5866	98

Stop Event

1×	node limit

Counts

4 → 513

Calls

Call 1

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

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

simplify352.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1500×	`associate-r`
1296×	`associate-l`
1030×	`associate-+l-`
894×	`+-commutative`
736×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1165	35503
1	3435	33909

Stop Event

1×	node limit

Counts

625 → 910

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 c a))
(.f64 -1 (.f64 c a))
(.f64 -1 (.f64 c a))
(.f64 -1 (.f64 c a))
(.f64 -1 (.f64 c a))
(.f64 -1 (.f64 c a))
(.f64 -1 (.f64 c a))
(.f64 -1 (.f64 c a))
(.f64 -1 (.f64 c a))
(.f64 -1 (.f64 c a))
(.f64 -1 (.f64 c a))
(.f64 -1 (.f64 c a))
(.f64 -1 (.f64 c a))
(.f64 -1 (.f64 c a))
(.f64 -1 (.f64 c a))
(.f64 -1 (.f64 c a))
(.f64 -1 (.f64 c a))
(.f64 -1 (.f64 c a))
(.f64 -1 (.f64 c a))
(.f64 -1 (.f64 c a))
(.f64 -1 (.f64 c a))
(.f64 -1 (.f64 c a))
(.f64 -1 (.f64 c a))
(.f64 -1 (.f64 c a))
(.f64 -1 (.f64 c a))
(.f64 -1 (.f64 c a))
(.f64 -1 (.f64 c a))
(.f64 -1 (.f64 c a))
(.f64 -1 (.f64 c a))
(.f64 -1 (.f64 c a))
(.f64 -1 (.f64 c a))
(.f64 -1 (.f64 c a))
(.f64 -1 (.f64 c a))
(.f64 -1 (.f64 c a))
(.f64 -1 (.f64 c a))
(.f64 -1 (.f64 c a))
(.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -1))))
(+.f64 (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2)) (.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -1)))))
(+.f64 (.f64 (pow.f64 b_2 2) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))))) (+.f64 (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2)) (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (/.f64 1 (sqrt.f64 -1))))))
(+.f64 (.f64 (pow.f64 b_2 2) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))))) (+.f64 (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 b_2 3) (-.f64 (.f64 1/2 (/.f64 1 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 4) a)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (sqrt.f64 -1))))))) (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (/.f64 1 (sqrt.f64 -1)))))))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b_2 7))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 (.f64 -1/32 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b_2 7))) (.f64 -1/2 (/.f64 (.f64 c a) b_2))))))
(*.f64 -2 b_2)
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(+.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (+.f64 (fma.f64 (.f64 a (neg.f64 c)) 1 (.f64 c a)) (fma.f64 (.f64 a (neg.f64 c)) 1 (.f64 c a))))
(+.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (.f64 c a))) (sqrt.f64 (.f64 c a)) (.f64 c a)) (fma.f64 (.f64 a (neg.f64 c)) 1 (*.f64 c a))))
(+.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 c a))) (pow.f64 (cbrt.f64 (.f64 c a)) 2) (.f64 c a)) (fma.f64 (.f64 a (neg.f64 c)) 1 (*.f64 c a))))
(+.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (+.f64 (fma.f64 (neg.f64 a) c (.f64 c a)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 c a))) (sqrt.f64 (.f64 c a)) (.f64 c a))))
(+.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (+.f64 (+.f64 (fma.f64 (neg.f64 a) c (.f64 c a)) (fma.f64 (neg.f64 a) c (.f64 c a))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 c a))) (sqrt.f64 (.f64 c a)) (*.f64 c a))))
(+.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (+.f64 (.f64 (fma.f64 (neg.f64 a) c (.f64 c a)) 1) (fma.f64 (neg.f64 (sqrt.f64 (.f64 c a))) (sqrt.f64 (.f64 c a)) (*.f64 c a))))
(+.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (+.f64 (fma.f64 (neg.f64 c) a (.f64 c a)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 c a))) (sqrt.f64 (.f64 c a)) (.f64 c a))))
(+.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (+.f64 (fma.f64 (.f64 a (neg.f64 c)) 1 (.f64 c a)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 c a))) (sqrt.f64 (.f64 c a)) (*.f64 c a))))
(+.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (.f64 c a))) (sqrt.f64 (.f64 c a)) (.f64 c a)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 c a))) (sqrt.f64 (.f64 c a)) (.f64 c a))))
(+.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 c a))) (pow.f64 (cbrt.f64 (.f64 c a)) 2) (.f64 c a)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 c a))) (sqrt.f64 (.f64 c a)) (.f64 c a))))
(+.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (+.f64 (fma.f64 (neg.f64 a) c (.f64 c a)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 c a))) (pow.f64 (cbrt.f64 (.f64 c a)) 2) (.f64 c a))))
(+.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (+.f64 (+.f64 (fma.f64 (neg.f64 a) c (.f64 c a)) (fma.f64 (neg.f64 a) c (.f64 c a))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 c a))) (pow.f64 (cbrt.f64 (.f64 c a)) 2) (*.f64 c a))))
(+.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (+.f64 (.f64 (fma.f64 (neg.f64 a) c (.f64 c a)) 1) (fma.f64 (neg.f64 (cbrt.f64 (.f64 c a))) (pow.f64 (cbrt.f64 (.f64 c a)) 2) (*.f64 c a))))
(+.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (+.f64 (fma.f64 (neg.f64 c) a (.f64 c a)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 c a))) (pow.f64 (cbrt.f64 (.f64 c a)) 2) (.f64 c a))))
(+.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (+.f64 (fma.f64 (.f64 a (neg.f64 c)) 1 (.f64 c a)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 c a))) (pow.f64 (cbrt.f64 (.f64 c a)) 2) (*.f64 c a))))
(+.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (.f64 c a))) (sqrt.f64 (.f64 c a)) (.f64 c a)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 c a))) (pow.f64 (cbrt.f64 (.f64 c a)) 2) (.f64 c a))))
(+.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 c a))) (pow.f64 (cbrt.f64 (.f64 c a)) 2) (.f64 c a)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 c a))) (pow.f64 (cbrt.f64 (.f64 c a)) 2) (.f64 c a))))
(+.f64 (.f64 a (neg.f64 c)) (.f64 b_2 b_2))
(+.f64 (.f64 a (neg.f64 c)) (+.f64 (.f64 b_2 b_2) (fma.f64 (neg.f64 a) c (*.f64 c a))))
(+.f64 (.f64 a (neg.f64 c)) (+.f64 (.f64 b_2 b_2) (+.f64 (fma.f64 (neg.f64 a) c (.f64 c a)) (fma.f64 (neg.f64 a) c (.f64 c a)))))
(+.f64 (.f64 a (neg.f64 c)) (+.f64 (.f64 b_2 b_2) (.f64 (fma.f64 (neg.f64 a) c (.f64 c a)) 1)))
(+.f64 (.f64 a (neg.f64 c)) (+.f64 (.f64 b_2 b_2) (fma.f64 (neg.f64 c) a (*.f64 c a))))
(+.f64 (.f64 a (neg.f64 c)) (+.f64 (.f64 b_2 b_2) (fma.f64 (.f64 a (neg.f64 c)) 1 (.f64 c a))))
(+.f64 (.f64 a (neg.f64 c)) (+.f64 (.f64 b_2 b_2) (fma.f64 (neg.f64 (sqrt.f64 (.f64 c a))) (sqrt.f64 (.f64 c a)) (*.f64 c a))))
(+.f64 (.f64 a (neg.f64 c)) (+.f64 (.f64 b_2 b_2) (fma.f64 (neg.f64 (cbrt.f64 (.f64 c a))) (pow.f64 (cbrt.f64 (.f64 c a)) 2) (*.f64 c a))))
(+.f64 (.f64 a (neg.f64 c)) (+.f64 (.f64 c a) (-.f64 (.f64 b_2 b_2) (.f64 c a))))
(+.f64 (fma.f64 (neg.f64 a) c (.f64 c a)) (-.f64 (.f64 b_2 b_2) (*.f64 c a)))
(+.f64 (+.f64 (.f64 a (neg.f64 c)) (fma.f64 (neg.f64 a) c (.f64 c a))) (*.f64 b_2 b_2))
(+.f64 (+.f64 (fma.f64 (neg.f64 a) c (.f64 c a)) (fma.f64 (neg.f64 a) c (.f64 c a))) (-.f64 (.f64 b_2 b_2) (.f64 c a)))
(+.f64 (.f64 (.f64 a (neg.f64 c)) 1) (*.f64 b_2 b_2))
(+.f64 (.f64 (fma.f64 (neg.f64 a) c (.f64 c a)) 1) (-.f64 (.f64 b_2 b_2) (.f64 c a)))
(+.f64 (fma.f64 (neg.f64 c) a (.f64 c a)) (-.f64 (.f64 b_2 b_2) (*.f64 c a)))
(+.f64 (fma.f64 (.f64 a (neg.f64 c)) 1 (.f64 c a)) (-.f64 (.f64 b_2 b_2) (.f64 c a)))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (.f64 c a))) (sqrt.f64 (.f64 c a)) (.f64 c a)) (-.f64 (.f64 b_2 b_2) (*.f64 c a)))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 c a))) (pow.f64 (cbrt.f64 (.f64 c a)) 2) (.f64 c a)) (-.f64 (.f64 b_2 b_2) (*.f64 c a)))
(+.f64 (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 a (neg.f64 c))) (.f64 c a))
(+.f64 (+.f64 (fma.f64 (neg.f64 a) c (.f64 c a)) (.f64 b_2 b_2)) (*.f64 a (neg.f64 c)))
(+.f64 (+.f64 (fma.f64 (neg.f64 a) c (.f64 c a)) (.f64 b_2 b_2)) (+.f64 (.f64 a (neg.f64 c)) (fma.f64 (neg.f64 a) c (.f64 c a))))
(+.f64 (+.f64 (fma.f64 (neg.f64 a) c (.f64 c a)) (.f64 b_2 b_2)) (.f64 (.f64 a (neg.f64 c)) 1))
(.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)) 1)
(.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))))
(.f64 1 (-.f64 (.f64 b_2 b_2) (*.f64 c a)))
(.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))) (neg.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))
(.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/4) (.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/4) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))))
(.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) 2) (cbrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 b_2 b_2 (.f64 c a))) 2) (neg.f64 (cbrt.f64 (fma.f64 b_2 b_2 (*.f64 c a)))))
(.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) (pow.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))) 2))
(.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) (.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))))
(.f64 (-.f64 (pow.f64 b_2 4) (pow.f64 (.f64 c a) 2)) (/.f64 1 (fma.f64 b_2 b_2 (*.f64 c a))))
(.f64 -1 (fma.f64 b_2 b_2 (.f64 c a)))
(.f64 (-.f64 (pow.f64 b_2 6) (pow.f64 (.f64 c a) 3)) (/.f64 1 (+.f64 (pow.f64 b_2 4) (.f64 (.f64 c a) (fma.f64 b_2 b_2 (*.f64 c a))))))
(.f64 (.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/4)) (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/4))
(.f64 (.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))))
(.f64 (/.f64 (-.f64 (pow.f64 b_2 4) (pow.f64 (.f64 c a) 2)) (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 2)) (fma.f64 b_2 b_2 (.f64 c a)))
(.f64 (/.f64 (-.f64 (pow.f64 b_2 4) (pow.f64 (.f64 c a) 2)) (+.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 6))) (-.f64 (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 2) (.f64 b_2 (.f64 b_2 (*.f64 c a)))))
(.f64 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a)))) (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))
(.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 b_2 b_2 (.f64 c a))) 2)) (cbrt.f64 (fma.f64 b_2 b_2 (*.f64 c a))))
(.f64 (+.f64 b_2 (sqrt.f64 (.f64 c a))) (-.f64 b_2 (sqrt.f64 (*.f64 c a))))
(/.f64 1 (/.f64 (fma.f64 b_2 b_2 (.f64 c a)) (-.f64 (pow.f64 b_2 4) (pow.f64 (.f64 c a) 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 b_2 4) (.f64 (.f64 c a) (fma.f64 b_2 b_2 (.f64 c a)))) (-.f64 (pow.f64 b_2 6) (pow.f64 (.f64 c a) 3))))
(/.f64 (-.f64 (pow.f64 b_2 4) (pow.f64 (.f64 c a) 2)) (fma.f64 b_2 b_2 (.f64 c a)))
(/.f64 (-.f64 (pow.f64 b_2 6) (pow.f64 (.f64 c a) 3)) (+.f64 (pow.f64 b_2 4) (.f64 (.f64 c a) (fma.f64 b_2 b_2 (.f64 c a)))))
(/.f64 (/.f64 (-.f64 (pow.f64 b_2 4) (pow.f64 (.f64 c a) 2)) 1) (fma.f64 b_2 b_2 (.f64 c a)))
(/.f64 (/.f64 (-.f64 (pow.f64 b_2 4) (pow.f64 (.f64 c a) 2)) (hypot.f64 b_2 (sqrt.f64 (.f64 c a)))) (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))
(/.f64 (/.f64 (-.f64 (pow.f64 b_2 4) (pow.f64 (.f64 c a) 2)) (pow.f64 (cbrt.f64 (fma.f64 b_2 b_2 (.f64 c a))) 2)) (cbrt.f64 (fma.f64 b_2 b_2 (*.f64 c a))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 6))) (-.f64 (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 2) (.f64 b_2 (.f64 b_2 (*.f64 c a)))))
(/.f64 (-.f64 (pow.f64 b_2 4) (.f64 (.f64 a (neg.f64 c)) (.f64 a (neg.f64 c)))) (-.f64 (.f64 b_2 b_2) (*.f64 a (neg.f64 c))))
(/.f64 (-.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 2) (.f64 (fma.f64 (neg.f64 a) c (.f64 c a)) (fma.f64 (neg.f64 a) c (.f64 c a)))) (-.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (fma.f64 (neg.f64 a) c (.f64 c a))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 2)) (fma.f64 b_2 b_2 (.f64 c a)))
(/.f64 (+.f64 (pow.f64 b_2 6) (pow.f64 (.f64 a (neg.f64 c)) 3)) (-.f64 (+.f64 (pow.f64 b_2 4) (.f64 (.f64 a (neg.f64 c)) (.f64 a (neg.f64 c)))) (.f64 (.f64 b_2 b_2) (*.f64 a (neg.f64 c)))))
(/.f64 (+.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3) (pow.f64 (fma.f64 (neg.f64 a) c (.f64 c a)) 3)) (+.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 2) (-.f64 (.f64 (fma.f64 (neg.f64 a) c (.f64 c a)) (fma.f64 (neg.f64 a) c (.f64 c a))) (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (fma.f64 (neg.f64 a) c (.f64 c a))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 b_2 4) (pow.f64 (.f64 c a) 2))) (-.f64 (.f64 b_2 b_2) (*.f64 c a)))
(/.f64 (neg.f64 (-.f64 (pow.f64 b_2 6) (pow.f64 (.f64 c a) 3))) (neg.f64 (+.f64 (pow.f64 b_2 4) (.f64 (.f64 c a) (fma.f64 b_2 b_2 (.f64 c a))))))
(pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1)
(pow.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) 2)
(pow.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) 3)
(pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 2) 1/2)
(pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3) 1/3)
(neg.f64 (fma.f64 b_2 b_2 (*.f64 c a)))
(sqrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 2))
(log.f64 (exp.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))
(log.f64 (/.f64 1 (exp.f64 (fma.f64 b_2 b_2 (*.f64 c a)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))))
(cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3))
(expm1.f64 (log1p.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))
(exp.f64 (log.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))
(exp.f64 (.f64 (log.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))) 1))
(log1p.f64 (expm1.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))
(fma.f64 b_2 b_2 (*.f64 a (neg.f64 c)))
(fma.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) (fma.f64 (neg.f64 a) c (*.f64 c a)))
(fma.f64 1 (.f64 b_2 b_2) (.f64 a (neg.f64 c)))
(fma.f64 1 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (fma.f64 (neg.f64 a) c (*.f64 c a)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) 2) (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) (fma.f64 (neg.f64 a) c (*.f64 c a)))
(fma.f64 (cbrt.f64 (pow.f64 b_2 4)) (pow.f64 (cbrt.f64 b_2) 2) (*.f64 a (neg.f64 c)))

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)))))
(+.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 (pow.f64 (.f64 c 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))))))
(+.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 (pow.f64 (.f64 c 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)))))))
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))))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (+.f64 b_2 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (+.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)))))
(fma.f64 -1/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 5)) (fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (+.f64 b_2 (.f64 -1/2 (/.f64 c (/.f64 b_2 a))))))
(fma.f64 -1/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 5)) (fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (+.f64 b_2 (.f64 -1/2 (/.f64 (*.f64 c a) b_2)))))
(*.f64 -1 b_2)
(neg.f64 b_2)
(+.f64 (.f64 -1 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(fma.f64 -1 b_2 (*.f64 1/2 (/.f64 c (/.f64 b_2 a))))
(fma.f64 -1 b_2 (.f64 1/2 (/.f64 (.f64 c a) b_2)))
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b_2
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b_2
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(/.f64 (neg.f64 (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 2)) (fma.f64 b_2 b_2 (.f64 c a)))
(/.f64 (+.f64 (pow.f64 b_2 6) (pow.f64 (.f64 a (neg.f64 c)) 3)) (-.f64 (+.f64 (pow.f64 b_2 4) (.f64 (.f64 a (neg.f64 c)) (.f64 a (neg.f64 c)))) (.f64 (.f64 b_2 b_2) (*.f64 a (neg.f64 c)))))
(/.f64 (+.f64 (pow.f64 b_2 6) (pow.f64 (.f64 a (neg.f64 c)) 3)) (+.f64 (pow.f64 b_2 4) (-.f64 (.f64 a (.f64 (neg.f64 c) (.f64 a (neg.f64 c)))) (.f64 (.f64 b_2 b_2) (*.f64 a (neg.f64 c))))))
(/.f64 (+.f64 (pow.f64 b_2 6) (pow.f64 (.f64 c (neg.f64 a)) 3)) (+.f64 (.f64 a (.f64 (neg.f64 c) (.f64 c (neg.f64 a)))) (-.f64 (pow.f64 b_2 4) (.f64 b_2 (.f64 (neg.f64 b_2) (*.f64 c a))))))
(/.f64 (+.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3) (pow.f64 (fma.f64 (neg.f64 a) c (.f64 c a)) 3)) (+.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 2) (-.f64 (.f64 (fma.f64 (neg.f64 a) c (.f64 c a)) (fma.f64 (neg.f64 a) c (.f64 c a))) (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (fma.f64 (neg.f64 a) c (.f64 c a))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 a (neg.f64 c) (.f64 b_2 b_2)) 3) (pow.f64 (fma.f64 (neg.f64 a) c (.f64 c a)) 3)) (+.f64 (pow.f64 (fma.f64 a (neg.f64 c) (.f64 b_2 b_2)) 2) (.f64 (fma.f64 (neg.f64 a) c (.f64 c a)) (-.f64 (fma.f64 (neg.f64 a) c (.f64 c a)) (fma.f64 a (neg.f64 c) (*.f64 b_2 b_2))))))
(/.f64 (+.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3) (pow.f64 (fma.f64 (neg.f64 a) c (.f64 c a)) 3)) (+.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 2) (.f64 (fma.f64 (neg.f64 a) c (.f64 c a)) (-.f64 (fma.f64 (neg.f64 a) c (.f64 c a)) (-.f64 (.f64 b_2 b_2) (.f64 c a))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 b_2 4) (pow.f64 (.f64 c a) 2))) (-.f64 (.f64 b_2 b_2) (*.f64 c a)))
(/.f64 (neg.f64 (-.f64 (pow.f64 b_2 4) (pow.f64 (.f64 c a) 2))) (fma.f64 a (neg.f64 c) (.f64 b_2 b_2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 b_2 6) (pow.f64 (.f64 c a) 3))) (neg.f64 (+.f64 (pow.f64 b_2 4) (.f64 (.f64 c a) (fma.f64 b_2 b_2 (.f64 c a))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 b_2 6) (pow.f64 (.f64 c a) 3))) (neg.f64 (+.f64 (pow.f64 b_2 4) (.f64 c (.f64 a (fma.f64 b_2 b_2 (.f64 c a)))))))
(pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1)
(fma.f64 a (neg.f64 c) (*.f64 b_2 b_2))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(pow.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) 2)
(fma.f64 a (neg.f64 c) (*.f64 b_2 b_2))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(pow.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) 3)
(fma.f64 a (neg.f64 c) (*.f64 b_2 b_2))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 2) 1/2)
(sqrt.f64 (pow.f64 (fma.f64 a (neg.f64 c) (*.f64 b_2 b_2)) 2))
(sqrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 2))
(pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3) 1/3)
(fma.f64 a (neg.f64 c) (*.f64 b_2 b_2))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(neg.f64 (fma.f64 b_2 b_2 (*.f64 c a)))
(sqrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 2))
(sqrt.f64 (pow.f64 (fma.f64 a (neg.f64 c) (*.f64 b_2 b_2)) 2))
(log.f64 (exp.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))
(fma.f64 a (neg.f64 c) (*.f64 b_2 b_2))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(log.f64 (/.f64 1 (exp.f64 (fma.f64 b_2 b_2 (*.f64 c a)))))
(neg.f64 (log.f64 (exp.f64 (fma.f64 b_2 b_2 (*.f64 c a)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))))
(fma.f64 a (neg.f64 c) (*.f64 b_2 b_2))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3))
(fma.f64 a (neg.f64 c) (*.f64 b_2 b_2))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(expm1.f64 (log1p.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))
(fma.f64 a (neg.f64 c) (*.f64 b_2 b_2))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(exp.f64 (log.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))
(fma.f64 a (neg.f64 c) (*.f64 b_2 b_2))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(exp.f64 (.f64 (log.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))) 1))
(fma.f64 a (neg.f64 c) (*.f64 b_2 b_2))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(log1p.f64 (expm1.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))
(fma.f64 a (neg.f64 c) (*.f64 b_2 b_2))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(fma.f64 b_2 b_2 (*.f64 a (neg.f64 c)))
(fma.f64 a (neg.f64 c) (*.f64 b_2 b_2))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(fma.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) (fma.f64 (neg.f64 a) c (*.f64 c a)))
(fma.f64 b_2 b_2 (fma.f64 a (neg.f64 c) (fma.f64 (neg.f64 a) c (*.f64 c a))))
(fma.f64 a (neg.f64 c) (fma.f64 c a (-.f64 (.f64 b_2 b_2) (.f64 c a))))
(fma.f64 1 (.f64 b_2 b_2) (.f64 a (neg.f64 c)))
(fma.f64 1 (.f64 b_2 b_2) (.f64 c (neg.f64 a)))
(fma.f64 1 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (fma.f64 (neg.f64 a) c (*.f64 c a)))
(fma.f64 b_2 b_2 (fma.f64 a (neg.f64 c) (fma.f64 (neg.f64 a) c (*.f64 c a))))
(fma.f64 a (neg.f64 c) (fma.f64 c a (-.f64 (.f64 b_2 b_2) (.f64 c a))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) 2) (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) (fma.f64 (neg.f64 a) c (*.f64 c a)))
(fma.f64 b_2 b_2 (fma.f64 a (neg.f64 c) (fma.f64 (neg.f64 a) c (*.f64 c a))))
(fma.f64 a (neg.f64 c) (fma.f64 c a (-.f64 (.f64 b_2 b_2) (.f64 c a))))
(fma.f64 (cbrt.f64 (pow.f64 b_2 4)) (pow.f64 (cbrt.f64 b_2) 2) (*.f64 a (neg.f64 c)))
(fma.f64 (cbrt.f64 (pow.f64 b_2 4)) (pow.f64 (cbrt.f64 b_2) 2) (*.f64 c (neg.f64 a)))

eval533.0ms (3.5%)

Compiler: Compiled 56063 to 14880 computations (73.5% saved)

prune533.0ms (3.5%)

Pruning

27 alts after pruning (22 fresh and 5 done)

	Pruned	Kept	Total
New	1606	14	1620
Fresh	2	8	10
Picked	1	0	1
Done	0	5	5
Total	1609	27	1636

Error

6.2b

Counts

1636 → 27

Alt Table

Click to see full alt table

Status	Error	Program
	33.4b	(pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) -1)
	43.2b	(/.f64 (/.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (.f64 a c))) a) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c))))))
	63.1b	(/.f64 (/.f64 (-.f64 (.f64 b_2 b_2) (+.f64 (.f64 c a) (.f64 b_2 b_2))) (-.f64 (+.f64 (.f64 -1 b_2) (.f64 1/2 (/.f64 (.f64 c a) b_2))) (neg.f64 b_2))) a)
	61.2b	(/.f64 (/.f64 (-.f64 (.f64 b_2 b_2) (+.f64 (.f64 c a) (.f64 b_2 b_2))) (-.f64 (+.f64 b_2 (.f64 -1/2 (/.f64 (*.f64 c a) b_2))) (neg.f64 b_2))) a)
	61.2b	(/.f64 (/.f64 (-.f64 (.f64 b_2 b_2) (+.f64 (.f64 c a) (.f64 b_2 b_2))) (-.f64 (+.f64 b_2 (.f64 -1/2 (/.f64 c (/.f64 b_2 a)))) (neg.f64 b_2))) a)
	43.3b	(/.f64 (/.f64 (-.f64 (.f64 b_2 b_2) (+.f64 (.f64 c a) (.f64 b_2 b_2))) (-.f64 (sqrt.f64 (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 4 (fma.f64 (neg.f64 a) c (*.f64 c a))))) (neg.f64 b_2))) a)
▶	28.0b	(/.f64 (/.f64 (-.f64 0 (.f64 c a)) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))))) a)
	43.3b	(/.f64 (/.f64 (.f64 (.f64 c -1/2) a) b_2) a)
✓	33.3b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
	33.4b	(/.f64 (-.f64 (sqrt.f64 (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 2 (.f64 2 (fma.f64 (neg.f64 c) a (*.f64 c a)))))) b_2) a)
	43.8b	(/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)
✓	54.0b	(/.f64 (-.f64 b_2 b_2) a)
	45.3b	(/.f64 (+.f64 (fma.f64 b_2 1 b_2) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))) a)
	48.8b	(/.f64 (+.f64 (.f64 -2 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2))) a)
	45.3b	(/.f64 (+.f64 b_2 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) (*.f64 2 (fma.f64 b_2 1 b_2)))) a)
	47.6b	(/.f64 (*.f64 b_2 -2) a)
	43.5b	(/.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) a)
▶	41.6b	(/.f64 (sqrt.f64 (-.f64 0 (*.f64 c a))) a)
▶	39.8b	(/.f64 -1/2 (/.f64 b_2 c))
✓	47.8b	(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
	43.2b	(.f64 (/.f64 1 a) (/.f64 (-.f64 (.f64 b_2 b_2) (+.f64 (.f64 c a) (.f64 b_2 b_2))) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) (neg.f64 b_2))))
▶	43.3b	(.f64 (/.f64 1 a) (/.f64 (.f64 (*.f64 c -1/2) a) b_2))
✓	33.4b	(.f64 (/.f64 1 a) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2))
	43.8b	(.f64 (/.f64 1 a) (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2))
▶	41.1b	(.f64 (/.f64 1 a) (-.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)) 3/2)) b_2))
	47.6b	(.f64 (/.f64 1 a) (.f64 b_2 -2))
✓	39.3b	(*.f64 -1/2 (/.f64 c b_2))

Compiler

Compiled 914 to 553 computations (39.5% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.2b	(-.f64 (.f64 b_2 b_2) (.f64 c a))
✓	2.4b	(/.f64 (/.f64 (-.f64 0 (.f64 c a)) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))))) a)
✓	10.4b	(/.f64 (-.f64 0 (.f64 c a)) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)))))
	22.4b	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))

Compiler

Compiled 77 to 18 computations (76.6% saved)

series14.0ms (0.1%)

Counts

2 → 40

Calls

18 calls:

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

rewrite113.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1844×	`associate-/r/`
634×	`associate-+l+`
366×	`add-sqr-sqrt`
358×	`*-un-lft-identity`
356×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	96
1	348	76
2	5527	76

Stop Event

1×	node limit

Counts

2 → 220

Calls

Call 1

Inputs
(/.f64 (-.f64 0 (.f64 c a)) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)))))
(/.f64 (/.f64 (-.f64 0 (.f64 c a)) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))))) a)

Outputs

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

simplify148.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1644×	`associate-r`
1348×	`associate-/l*`
1276×	`*-commutative`
1150×	`associate-*r/`
1104×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	734	19262
1	2475	18532

Stop Event

1×	node limit

Counts

260 → 429

Calls

Call 1

Inputs
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 (.f64 (pow.f64 c 4) (+.f64 (.f64 -1/128 (/.f64 (pow.f64 a 4) (pow.f64 b_2 7))) (.f64 -1/32 (/.f64 (pow.f64 a 4) (pow.f64 b_2 7))))) (.f64 -1/2 (/.f64 (*.f64 c a) b_2)))))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 (.f64 (+.f64 (.f64 -1/128 (/.f64 (pow.f64 c 4) (pow.f64 b_2 7))) (.f64 -1/32 (/.f64 (pow.f64 c 4) (pow.f64 b_2 7)))) (pow.f64 a 4)) (.f64 -1/2 (/.f64 (*.f64 c a) b_2)))))
(.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -1))))
(+.f64 (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2)) (.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -1)))))
(+.f64 (.f64 (pow.f64 b_2 2) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))))) (+.f64 (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2)) (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (/.f64 1 (sqrt.f64 -1))))))
(+.f64 (.f64 (pow.f64 b_2 2) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))))) (+.f64 (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 b_2 3) (-.f64 (.f64 1/2 (/.f64 1 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 4) a)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (sqrt.f64 -1))))))) (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (/.f64 1 (sqrt.f64 -1)))))))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b_2 7))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 (.f64 -1/32 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b_2 7))) (.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 1/2 (/.f64 (.f64 c a) b_2)) (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 1/8 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (pow.f64 b_2 3)))))
(+.f64 (.f64 -2 b_2) (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 c 4) (pow.f64 a 4))) (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2)) (.f64 c a))) (+.f64 (.f64 1/16 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (.f64 -1/4 (.f64 c (.f64 a (+.f64 (.f64 -1/4 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 1/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))))))))) (pow.f64 b_2 5))) (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 1/8 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (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 (.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 (pow.f64 c 4) (+.f64 (.f64 -1/128 (/.f64 (pow.f64 a 3) (pow.f64 b_2 7))) (.f64 -1/32 (/.f64 (pow.f64 a 3) (pow.f64 b_2 7))))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (.f64 -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 (+.f64 (.f64 -1/128 (/.f64 (pow.f64 c 4) (pow.f64 b_2 7))) (.f64 -1/32 (/.f64 (pow.f64 c 4) (pow.f64 b_2 7)))) (pow.f64 a 3)) (+.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 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -1))))
(+.f64 (/.f64 b_2 (.f64 (pow.f64 (sqrt.f64 -1) 2) a)) (.f64 -1 (*.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -1)))))
(+.f64 (/.f64 b_2 (.f64 (pow.f64 (sqrt.f64 -1) 2) a)) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -1)))) (.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (pow.f64 b_2 2))))
(+.f64 (/.f64 b_2 (.f64 (pow.f64 (sqrt.f64 -1) 2) a)) (+.f64 (.f64 -1 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (sqrt.f64 -1))))) (pow.f64 b_2 3))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -1)))) (.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (pow.f64 b_2 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 -1/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b_2 7))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/2 (/.f64 c b_2)) (.f64 -1/32 (/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b_2 7)))))))
(*.f64 -2 (/.f64 b_2 a))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 (.f64 (pow.f64 c 2) a)) (.f64 1/8 (.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 (/.f64 (+.f64 (.f64 -1/4 (.f64 (pow.f64 c 2) a)) (.f64 1/8 (.f64 (pow.f64 c 2) a))) (pow.f64 b_2 3))) (+.f64 (.f64 1/2 (/.f64 c b_2)) (.f64 -1 (/.f64 (+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 c 4) (pow.f64 a 4))) (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2)) (.f64 c (pow.f64 a 2)))) (+.f64 (.f64 -1/4 (.f64 c (.f64 a (+.f64 (.f64 -1/4 (.f64 (pow.f64 c 2) a)) (.f64 1/8 (.f64 (pow.f64 c 2) a)))))) (.f64 1/16 (*.f64 (pow.f64 c 3) (pow.f64 a 2))))) (pow.f64 b_2 5))))))
(+.f64 0 (.f64 (/.f64 a (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))))) c))
(+.f64 (.f64 (/.f64 a (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))))) c) 0)
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (.f64 (/.f64 a (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))))) c)))) 1)
(-.f64 0 (.f64 (/.f64 a (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))))) c))
(-.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 a (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))))) c))) 1)
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (.f64 (/.f64 a (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))))) c)))) 1)
(.f64 (.f64 c a) (/.f64 1 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))))
(.f64 (.f64 c a) (neg.f64 (/.f64 1 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))))
(.f64 (.f64 c a) (/.f64 1 (neg.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))))
(.f64 (.f64 (/.f64 a (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) c) 1)
(.f64 1 (.f64 (/.f64 a (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) c))
(.f64 (sqrt.f64 (.f64 c a)) (.f64 (sqrt.f64 (.f64 c a)) (/.f64 1 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))))
(.f64 (sqrt.f64 (.f64 (/.f64 a (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))))) c)) (sqrt.f64 (.f64 (/.f64 a (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) c)))
(.f64 (sqrt.f64 (.f64 (/.f64 a (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))))) c)) (neg.f64 (sqrt.f64 (.f64 (/.f64 a (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) c))))
(.f64 (cbrt.f64 (.f64 (/.f64 a (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))))) c)) (cbrt.f64 (pow.f64 (.f64 (/.f64 a (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) c) 2)))
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(.f64 (/.f64 (/.f64 1 a) (sqrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c a)))))) (/.f64 (.f64 c a) (sqrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c a)))))))
(.f64 (/.f64 (/.f64 1 a) (cbrt.f64 (pow.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c a)))) 2))) (/.f64 (.f64 c a) (cbrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c a)))))))
(.f64 (/.f64 (/.f64 1 a) (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (.f64 c a)))) (.f64 (.f64 c a) (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))))))
(.f64 (/.f64 (/.f64 1 a) (+.f64 (pow.f64 b_2 3) (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 3/2))) (.f64 (.f64 c a) (fma.f64 b_2 b_2 (-.f64 (fma.f64 b_2 b_2 (.f64 c a)) (.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))))))
(.f64 (/.f64 (/.f64 1 a) (neg.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c a)))))) (*.f64 c a))
(.f64 (/.f64 (/.f64 1 a) (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c a)))) 1)) (*.f64 c a))
(.f64 (/.f64 (/.f64 1 a) (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c a)))) (sqrt.f64 (.f64 c a)))) (sqrt.f64 (.f64 c a)))
(.f64 (/.f64 (/.f64 1 a) (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c a)))) (pow.f64 (cbrt.f64 (.f64 c a)) 2))) (cbrt.f64 (.f64 c a)))
(.f64 (/.f64 (.f64 (.f64 c a) (/.f64 1 a)) 1) (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c a)))) (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (.f64 c a)))))
(.f64 (/.f64 (.f64 (.f64 c a) (/.f64 1 a)) 1) (/.f64 (fma.f64 b_2 b_2 (-.f64 (fma.f64 b_2 b_2 (.f64 c a)) (.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c a)))))) (+.f64 (pow.f64 b_2 3) (pow.f64 (fma.f64 b_2 b_2 (*.f64 c a)) 3/2))))
(.f64 (/.f64 (.f64 (.f64 c a) (/.f64 1 a)) (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (.f64 c a)))) (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c a)))))
(.f64 (/.f64 (.f64 (.f64 c a) (/.f64 1 a)) (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (.f64 c a)))) (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))) b_2))
(.f64 (/.f64 (.f64 (.f64 c a) (/.f64 1 a)) (+.f64 (pow.f64 b_2 3) (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 3/2))) (fma.f64 b_2 b_2 (-.f64 (fma.f64 b_2 b_2 (.f64 c a)) (.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))))
(.f64 (/.f64 (.f64 (.f64 c a) (/.f64 1 a)) (neg.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (.f64 c a))))) (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c a)))))
(.f64 (/.f64 (.f64 (.f64 c a) (/.f64 1 a)) (neg.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (.f64 c a))))) (neg.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))))))
(.f64 (/.f64 (.f64 (.f64 c a) (/.f64 1 a)) (neg.f64 (+.f64 (pow.f64 b_2 3) (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 3/2)))) (fma.f64 b_2 b_2 (-.f64 (fma.f64 b_2 b_2 (.f64 c a)) (.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))))
(.f64 (/.f64 (.f64 (.f64 c a) (/.f64 1 a)) (neg.f64 (+.f64 (pow.f64 b_2 3) (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 3/2)))) (neg.f64 (fma.f64 b_2 b_2 (-.f64 (fma.f64 b_2 b_2 (.f64 c a)) (.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))))))
(.f64 (/.f64 (/.f64 (.f64 c a) a) 1) (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c a)))) (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (*.f64 c a)))))
(.f64 (/.f64 (/.f64 (.f64 c a) a) 1) (/.f64 (fma.f64 b_2 b_2 (-.f64 (fma.f64 b_2 b_2 (.f64 c a)) (.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c a)))))) (+.f64 (pow.f64 b_2 3) (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 3/2))))
(.f64 (/.f64 (/.f64 (.f64 c a) a) (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (.f64 c a)))) (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))
(.f64 (/.f64 (/.f64 (.f64 c a) a) (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (.f64 c a)))) (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))
(.f64 (/.f64 (/.f64 (.f64 c a) a) (+.f64 (pow.f64 b_2 3) (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 3/2))) (fma.f64 b_2 b_2 (-.f64 (fma.f64 b_2 b_2 (.f64 c a)) (.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c a)))))))
(.f64 (/.f64 (/.f64 (.f64 c a) a) (neg.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (.f64 c a))))) (neg.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))))
(.f64 (/.f64 (/.f64 (.f64 c a) a) (neg.f64 (+.f64 (pow.f64 b_2 3) (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 3/2)))) (neg.f64 (fma.f64 b_2 b_2 (-.f64 (fma.f64 b_2 b_2 (.f64 c a)) (.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))))))))
(pow.f64 (/.f64 (/.f64 (.f64 c a) a) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))))) 1)
(pow.f64 (sqrt.f64 (/.f64 (/.f64 (.f64 c a) a) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c a)))))) 2)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 (.f64 c a) a) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c a)))))) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 (.f64 c a) a) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))))) 3) 1/3)
(pow.f64 (.f64 a (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c a)))) (*.f64 c a))) -1)
(neg.f64 (/.f64 (/.f64 (.f64 c a) a) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))))))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 (.f64 c a) a) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))))) 2))
(log.f64 (exp.f64 (/.f64 (/.f64 (.f64 c a) a) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c a)))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (.f64 c a) a) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))))))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 (.f64 c a) a) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))))) 3))
(cbrt.f64 (/.f64 (pow.f64 (.f64 (/.f64 a (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))))) c) 3) (pow.f64 a 3)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (.f64 c a) a) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c a)))))))
(exp.f64 (log.f64 (/.f64 (/.f64 (.f64 c a) a) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c a)))))))
(exp.f64 (.f64 (log.f64 (/.f64 (/.f64 (.f64 c a) a) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))) 1))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 (.f64 c a) a) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c a)))))))

Outputs
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(.f64 -1/2 (.f64 (/.f64 c b_2) a))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))))
(fma.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) (.f64 -1/2 (*.f64 (/.f64 c b_2) a)))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(fma.f64 -1/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 5)) (fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (.f64 -1/2 (/.f64 c (/.f64 b_2 a)))))
(fma.f64 -1/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 5)) (fma.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) (.f64 -1/2 (.f64 (/.f64 c b_2) a))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 (.f64 (pow.f64 c 4) (+.f64 (.f64 -1/128 (/.f64 (pow.f64 a 4) (pow.f64 b_2 7))) (.f64 -1/32 (/.f64 (pow.f64 a 4) (pow.f64 b_2 7))))) (.f64 -1/2 (/.f64 (*.f64 c a) b_2)))))
(fma.f64 -1/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 5)) (fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (fma.f64 (pow.f64 c 4) (.f64 (/.f64 (pow.f64 a 4) (pow.f64 b_2 7)) -5/128) (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))))))
(fma.f64 -1/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 5)) (fma.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) (fma.f64 (pow.f64 c 4) (/.f64 (.f64 (pow.f64 a 4) -5/128) (pow.f64 b_2 7)) (.f64 -1/2 (*.f64 (/.f64 c b_2) a)))))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(.f64 -1/2 (.f64 (/.f64 c b_2) a))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))))
(fma.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) (.f64 -1/2 (*.f64 (/.f64 c b_2) a)))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(fma.f64 -1/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 5)) (fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (.f64 -1/2 (/.f64 c (/.f64 b_2 a)))))
(fma.f64 -1/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 5)) (fma.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) (.f64 -1/2 (.f64 (/.f64 c b_2) a))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 (.f64 (+.f64 (.f64 -1/128 (/.f64 (pow.f64 c 4) (pow.f64 b_2 7))) (.f64 -1/32 (/.f64 (pow.f64 c 4) (pow.f64 b_2 7)))) (pow.f64 a 4)) (.f64 -1/2 (/.f64 (*.f64 c a) b_2)))))
(fma.f64 -1/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 5)) (fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (fma.f64 (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b_2 7)) -5/128) (pow.f64 a 4) (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))))))
(fma.f64 -1/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 5)) (fma.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) (fma.f64 (/.f64 (.f64 (pow.f64 c 4) -5/128) (pow.f64 b_2 7)) (pow.f64 a 4) (.f64 -1/2 (*.f64 (/.f64 c b_2) a)))))
(.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -1))))
(neg.f64 (.f64 (sqrt.f64 (.f64 c a)) (/.f64 1 (sqrt.f64 -1))))
(+.f64 (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2)) (.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -1)))))
(+.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 c a)) (/.f64 1 (sqrt.f64 -1)))) (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2)))
(+.f64 (.f64 (pow.f64 b_2 2) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))))) (+.f64 (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2)) (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (/.f64 1 (sqrt.f64 -1))))))
(fma.f64 (.f64 b_2 b_2) (.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) -1/2) (+.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 c a)) (/.f64 1 (sqrt.f64 -1)))) (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))))
(fma.f64 (.f64 b_2 b_2) (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) -1/2)) (+.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 c a)) (/.f64 1 (sqrt.f64 -1)))) (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))))
(+.f64 (.f64 (pow.f64 b_2 2) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))))) (+.f64 (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 b_2 3) (-.f64 (.f64 1/2 (/.f64 1 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 4) a)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (sqrt.f64 -1))))))) (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (/.f64 1 (sqrt.f64 -1)))))))
(fma.f64 (.f64 b_2 b_2) (.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) -1/2) (+.f64 (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2)) (.f64 -1 (+.f64 (.f64 (pow.f64 b_2 3) (-.f64 (/.f64 1/2 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -1) 4)))) (neg.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) -1/2) (sqrt.f64 -1)))))) (.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -1)))))))
(fma.f64 (.f64 b_2 b_2) (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) -1/2)) (+.f64 (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2)) (.f64 -1 (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (/.f64 1 (sqrt.f64 -1))) (.f64 (pow.f64 b_2 3) (-.f64 (/.f64 1/2 (.f64 a (.f64 c (pow.f64 (sqrt.f64 -1) 4)))) (neg.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) (/.f64 (sqrt.f64 -1) -1/2))))))))))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(.f64 -1/2 (.f64 (/.f64 c b_2) a))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))))
(fma.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) (.f64 -1/2 (*.f64 (/.f64 c b_2) a)))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(fma.f64 -1/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 5)) (fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (.f64 -1/2 (/.f64 c (/.f64 b_2 a)))))
(fma.f64 -1/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 5)) (fma.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) (.f64 -1/2 (.f64 (/.f64 c b_2) a))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b_2 7))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 (.f64 -1/32 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b_2 7))) (.f64 -1/2 (/.f64 (.f64 c a) b_2))))))
(fma.f64 -1/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 5)) (fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (fma.f64 (pow.f64 c 4) (.f64 (/.f64 (pow.f64 a 4) (pow.f64 b_2 7)) -5/128) (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))))))
(fma.f64 -1/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 5)) (fma.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) (fma.f64 (pow.f64 c 4) (/.f64 (.f64 (pow.f64 a 4) -5/128) (pow.f64 b_2 7)) (.f64 -1/2 (*.f64 (/.f64 c b_2) a)))))
(*.f64 -2 b_2)
(*.f64 b_2 -2)
(+.f64 (.f64 -2 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(fma.f64 -2 b_2 (*.f64 (/.f64 c (/.f64 b_2 a)) 1/2))
(fma.f64 -2 b_2 (.f64 (.f64 (/.f64 c b_2) a) 1/2))
(+.f64 (.f64 -2 b_2) (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 1/8 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (pow.f64 b_2 3)))))
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(.f64 (/.f64 c a) (.f64 (/.f64 a (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (.f64 c a)))) (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))))
(.f64 (/.f64 (/.f64 (.f64 c a) a) 1) (/.f64 (fma.f64 b_2 b_2 (-.f64 (fma.f64 b_2 b_2 (.f64 c a)) (.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c a)))))) (+.f64 (pow.f64 b_2 3) (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 3/2))))
(.f64 (fma.f64 b_2 b_2 (-.f64 (fma.f64 b_2 b_2 (.f64 c a)) (.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c a)))))) (/.f64 (/.f64 c (/.f64 a a)) (+.f64 (pow.f64 b_2 3) (pow.f64 (fma.f64 b_2 b_2 (*.f64 c a)) 3/2))))
(.f64 (fma.f64 b_2 b_2 (-.f64 (fma.f64 b_2 b_2 (.f64 c a)) (.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c a)))))) (/.f64 (.f64 (/.f64 c a) a) (+.f64 (pow.f64 b_2 3) (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 3/2))))
(.f64 (/.f64 (/.f64 (.f64 c a) a) (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (.f64 c a)))) (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))
(.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c a)))) (/.f64 (.f64 c a) (.f64 a (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (.f64 c a))))))
(.f64 (/.f64 c a) (.f64 (/.f64 a (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (.f64 c a)))) (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))))
(.f64 (/.f64 (/.f64 (.f64 c a) a) (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (.f64 c a)))) (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))
(.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))) b_2) (/.f64 (.f64 c a) (/.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (*.f64 c a))) (/.f64 1 a))))
(.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))) b_2) (/.f64 (.f64 (/.f64 c a) a) (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (*.f64 c a)))))
(.f64 (/.f64 (/.f64 (.f64 c a) a) (+.f64 (pow.f64 b_2 3) (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 3/2))) (fma.f64 b_2 b_2 (-.f64 (fma.f64 b_2 b_2 (.f64 c a)) (.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c a)))))))
(.f64 (fma.f64 b_2 b_2 (-.f64 (fma.f64 b_2 b_2 (.f64 c a)) (.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c a)))))) (/.f64 (/.f64 c (/.f64 a a)) (+.f64 (pow.f64 b_2 3) (pow.f64 (fma.f64 b_2 b_2 (*.f64 c a)) 3/2))))
(.f64 (fma.f64 b_2 b_2 (-.f64 (fma.f64 b_2 b_2 (.f64 c a)) (.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c a)))))) (/.f64 (.f64 (/.f64 c a) a) (+.f64 (pow.f64 b_2 3) (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 3/2))))
(.f64 (/.f64 (/.f64 (.f64 c a) a) (neg.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (.f64 c a))))) (neg.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))))
(.f64 (neg.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))))) (/.f64 (/.f64 1 (/.f64 (/.f64 a c) a)) (neg.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (.f64 c a))))))
(.f64 (neg.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))))) (/.f64 c (/.f64 (.f64 a (neg.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (*.f64 c a))))) a)))
(.f64 (/.f64 (/.f64 (.f64 c a) a) (neg.f64 (+.f64 (pow.f64 b_2 3) (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 3/2)))) (neg.f64 (fma.f64 b_2 b_2 (-.f64 (fma.f64 b_2 b_2 (.f64 c a)) (.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))))))))
(.f64 (neg.f64 (fma.f64 b_2 b_2 (-.f64 (fma.f64 b_2 b_2 (.f64 c a)) (.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))))))) (/.f64 (.f64 c a) (/.f64 (neg.f64 (+.f64 (pow.f64 b_2 3) (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 3/2))) (/.f64 1 a))))
(/.f64 (.f64 (.f64 (neg.f64 a) c) (fma.f64 b_2 b_2 (-.f64 (fma.f64 b_2 b_2 (.f64 c a)) (.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))))))) (.f64 a (neg.f64 (+.f64 (pow.f64 b_2 3) (pow.f64 (fma.f64 b_2 b_2 (*.f64 c a)) 3/2)))))
(pow.f64 (/.f64 (/.f64 (.f64 c a) a) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))))) 1)
(+.f64 0 (/.f64 (/.f64 c (/.f64 a a)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))))
(/.f64 (/.f64 (.f64 c a) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))))) a)
(pow.f64 (sqrt.f64 (/.f64 (/.f64 (.f64 c a) a) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c a)))))) 2)
(+.f64 0 (/.f64 (/.f64 c (/.f64 a a)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))))
(/.f64 (/.f64 (.f64 c a) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))))) a)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 (.f64 c a) a) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c a)))))) 3)
(+.f64 0 (/.f64 (/.f64 c (/.f64 a a)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))))
(/.f64 (/.f64 (.f64 c a) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))))) a)
(pow.f64 (pow.f64 (/.f64 (/.f64 (.f64 c a) a) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))))) 3) 1/3)
(+.f64 0 (/.f64 (/.f64 c (/.f64 a a)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))))
(/.f64 (/.f64 (.f64 c a) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))))) a)
(pow.f64 (.f64 a (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c a)))) (*.f64 c a))) -1)
(+.f64 0 (/.f64 (/.f64 c (/.f64 a a)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))))
(/.f64 (/.f64 (.f64 c a) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))))) a)
(neg.f64 (/.f64 (/.f64 (.f64 c a) a) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))))))
(/.f64 (neg.f64 (/.f64 c (/.f64 a a))) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))
(/.f64 (/.f64 (.f64 c a) (neg.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c a)))))) a)
(sqrt.f64 (pow.f64 (/.f64 (/.f64 (.f64 c a) a) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))))) 2))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 c (/.f64 a a)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) 2))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 (.f64 c a) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))))) a) 2))
(log.f64 (exp.f64 (/.f64 (/.f64 (.f64 c a) a) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c a)))))))
(+.f64 0 (/.f64 (/.f64 c (/.f64 a a)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))))
(/.f64 (/.f64 (.f64 c a) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))))) a)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (.f64 c a) a) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))))))))
(+.f64 0 (/.f64 (/.f64 c (/.f64 a a)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))))
(/.f64 (/.f64 (.f64 c a) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))))) a)
(cbrt.f64 (pow.f64 (/.f64 (/.f64 (.f64 c a) a) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))))) 3))
(+.f64 0 (/.f64 (/.f64 c (/.f64 a a)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))))
(/.f64 (/.f64 (.f64 c a) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))))) a)
(cbrt.f64 (/.f64 (pow.f64 (.f64 (/.f64 a (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))))) c) 3) (pow.f64 a 3)))
(cbrt.f64 (/.f64 (pow.f64 (.f64 c (/.f64 a (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c a)))))) 3) (pow.f64 a 3)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (.f64 c a) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))))) 3) (pow.f64 a 3)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (.f64 c a) a) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c a)))))))
(+.f64 0 (/.f64 (/.f64 c (/.f64 a a)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))))
(/.f64 (/.f64 (.f64 c a) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))))) a)
(exp.f64 (log.f64 (/.f64 (/.f64 (.f64 c a) a) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c a)))))))
(+.f64 0 (/.f64 (/.f64 c (/.f64 a a)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))))
(/.f64 (/.f64 (.f64 c a) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))))) a)
(exp.f64 (.f64 (log.f64 (/.f64 (/.f64 (.f64 c a) a) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))) 1))
(+.f64 0 (/.f64 (/.f64 c (/.f64 a a)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))))
(/.f64 (/.f64 (.f64 c a) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))))) a)
(log1p.f64 (expm1.f64 (/.f64 (/.f64 (.f64 c a) a) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c a)))))))
(+.f64 0 (/.f64 (/.f64 c (/.f64 a a)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))))
(/.f64 (/.f64 (.f64 c a) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))))) a)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.8b	(/.f64 -1/2 (/.f64 b_2 c))

Compiler

Compiled 14 to 7 computations (50% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	c	@	0	(/.f64 -1/2 (/.f64 b_2 c))
0.0ms	c	@	inf	(/.f64 -1/2 (/.f64 b_2 c))
0.0ms	b_2	@	0	(/.f64 -1/2 (/.f64 b_2 c))
0.0ms	b_2	@	inf	(/.f64 -1/2 (/.f64 b_2 c))
0.0ms	c	@	-inf	(/.f64 -1/2 (/.f64 b_2 c))

rewrite55.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1612×	`add-sqr-sqrt`
1588×	`*-un-lft-identity`
1488×	`add-cube-cbrt`
1472×	`add-cbrt-cube`
152×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	154	13
2	2008	13

Stop Event

1×	node limit

Counts

1 → 28

Calls

Call 1

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

Outputs

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

simplify44.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1276×	`associate-/l*`
1110×	`distribute-lft-in`
1022×	`distribute-rgt-in`
896×	`associate-+r+`
828×	`associate-+l+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	706
1	163	706
2	648	706
3	2574	706

Stop Event

1×	node limit

Counts

52 → 29

Calls

Call 1

Inputs
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (/.f64 c b_2)))) 1)
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 c (/.f64 -1/2 b_2))
(.f64 (.f64 -1/2 (/.f64 c b_2)) 1)
(.f64 1 (.f64 -1/2 (/.f64 c b_2)))
(.f64 (sqrt.f64 (.f64 -1/2 (/.f64 c b_2))) (sqrt.f64 (*.f64 -1/2 (/.f64 c b_2))))
(.f64 (cbrt.f64 (.f64 -1/2 (/.f64 c b_2))) (pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b_2))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 -1/2 (/.f64 c b_2))) 2) (cbrt.f64 (*.f64 -1/2 (/.f64 c b_2))))
(*.f64 (/.f64 -1/2 b_2) c)
(*.f64 (/.f64 c b_2) -1/2)
(*.f64 1/2 (/.f64 1 (/.f64 (neg.f64 b_2) c)))
(.f64 (.f64 (/.f64 -1/2 b_2) 1) c)
(.f64 (.f64 (/.f64 -1/2 b_2) (sqrt.f64 c)) (sqrt.f64 c))
(.f64 (.f64 (/.f64 -1/2 b_2) (cbrt.f64 (*.f64 c c))) (cbrt.f64 c))
(*.f64 (/.f64 -1/2 (neg.f64 b_2)) (neg.f64 c))
(pow.f64 (*.f64 -1/2 (/.f64 c b_2)) 1)
(pow.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 c b_2))) 2)
(pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b_2))) 3)
(pow.f64 (pow.f64 (*.f64 -1/2 (/.f64 c b_2)) 3) 1/3)
(pow.f64 (*.f64 (/.f64 b_2 c) -2) -1)
(sqrt.f64 (/.f64 1/4 (pow.f64 (/.f64 b_2 c) 2)))
(log.f64 (pow.f64 (exp.f64 -1/2) (/.f64 c b_2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 (/.f64 c b_2)))))
(cbrt.f64 (pow.f64 (*.f64 -1/2 (/.f64 c b_2)) 3))
(expm1.f64 (log1p.f64 (*.f64 -1/2 (/.f64 c b_2))))
(exp.f64 (log.f64 (*.f64 -1/2 (/.f64 c b_2))))
(exp.f64 (.f64 (log.f64 (.f64 -1/2 (/.f64 c b_2))) 1))
(log1p.f64 (expm1.f64 (*.f64 -1/2 (/.f64 c b_2))))

Outputs
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (/.f64 c b_2)))) 1)
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(.f64 (.f64 -1/2 (/.f64 c b_2)) 1)
(*.f64 -1/2 (/.f64 c b_2))
(.f64 1 (.f64 -1/2 (/.f64 c b_2)))
(*.f64 -1/2 (/.f64 c b_2))
(.f64 (sqrt.f64 (.f64 -1/2 (/.f64 c b_2))) (sqrt.f64 (*.f64 -1/2 (/.f64 c b_2))))
(*.f64 -1/2 (/.f64 c b_2))
(.f64 (cbrt.f64 (.f64 -1/2 (/.f64 c b_2))) (pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b_2))) 2))
(*.f64 -1/2 (/.f64 c b_2))
(.f64 (pow.f64 (cbrt.f64 (.f64 -1/2 (/.f64 c b_2))) 2) (cbrt.f64 (*.f64 -1/2 (/.f64 c b_2))))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 -1/2 b_2) c)
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 1/2 (/.f64 1 (/.f64 (neg.f64 b_2) c)))
(*.f64 -1/2 (/.f64 c b_2))
(.f64 (.f64 (/.f64 -1/2 b_2) 1) c)
(*.f64 -1/2 (/.f64 c b_2))
(.f64 (.f64 (/.f64 -1/2 b_2) (sqrt.f64 c)) (sqrt.f64 c))
(*.f64 -1/2 (/.f64 c b_2))
(.f64 (.f64 (/.f64 -1/2 b_2) (cbrt.f64 (*.f64 c c))) (cbrt.f64 c))
(.f64 (/.f64 -1/2 b_2) (.f64 (cbrt.f64 (*.f64 c c)) (cbrt.f64 c)))
(*.f64 (/.f64 -1/2 (neg.f64 b_2)) (neg.f64 c))
(*.f64 -1/2 (/.f64 c b_2))
(pow.f64 (*.f64 -1/2 (/.f64 c b_2)) 1)
(*.f64 -1/2 (/.f64 c b_2))
(pow.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 c b_2))) 2)
(*.f64 -1/2 (/.f64 c b_2))
(pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b_2))) 3)
(*.f64 -1/2 (/.f64 c b_2))
(pow.f64 (pow.f64 (*.f64 -1/2 (/.f64 c b_2)) 3) 1/3)
(*.f64 -1/2 (/.f64 c b_2))
(pow.f64 (*.f64 (/.f64 b_2 c) -2) -1)
(*.f64 -1/2 (/.f64 c b_2))
(sqrt.f64 (/.f64 1/4 (pow.f64 (/.f64 b_2 c) 2)))
(log.f64 (pow.f64 (exp.f64 -1/2) (/.f64 c b_2)))
(*.f64 -1/2 (/.f64 c b_2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 (/.f64 c b_2)))))
(*.f64 -1/2 (/.f64 c b_2))
(cbrt.f64 (pow.f64 (*.f64 -1/2 (/.f64 c b_2)) 3))
(*.f64 -1/2 (/.f64 c b_2))
(expm1.f64 (log1p.f64 (*.f64 -1/2 (/.f64 c b_2))))
(*.f64 -1/2 (/.f64 c b_2))
(exp.f64 (log.f64 (*.f64 -1/2 (/.f64 c b_2))))
(*.f64 -1/2 (/.f64 c b_2))
(exp.f64 (.f64 (log.f64 (.f64 -1/2 (/.f64 c b_2))) 1))
(*.f64 -1/2 (/.f64 c b_2))
(log1p.f64 (expm1.f64 (*.f64 -1/2 (/.f64 c b_2))))
(*.f64 -1/2 (/.f64 c b_2))

localize16.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	4.8b	(/.f64 (.f64 (.f64 c -1/2) a) b_2)
✓	9.2b	(.f64 (/.f64 1 a) (/.f64 (.f64 (*.f64 c -1/2) a) b_2))

Compiler

Compiled 37 to 23 computations (37.8% saved)

series4.0ms (0%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	a	@	0	(.f64 (/.f64 1 a) (/.f64 (.f64 (*.f64 c -1/2) a) b_2))
0.0ms	b_2	@	0	(/.f64 (.f64 (.f64 c -1/2) a) b_2)
0.0ms	c	@	0	(/.f64 (.f64 (.f64 c -1/2) a) b_2)
0.0ms	b_2	@	inf	(/.f64 (.f64 (.f64 c -1/2) a) b_2)
0.0ms	c	@	inf	(/.f64 (.f64 (.f64 c -1/2) a) b_2)

rewrite86.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1186×	`unswap-sqr`
962×	`swap-sqr`
634×	`associate-/l/`
588×	`associate-/r/`
438×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	44
1	252	44
2	3403	44

Stop Event

1×	node limit

Counts

2 → 147

Calls

Call 1

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

Outputs

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

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

simplify128.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

852×	`distribute-lft-neg-in`
756×	`distribute-lft-in`
754×	`distribute-rgt-in`
742×	`distribute-rgt-neg-in`
664×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	368	4621
1	1066	4501
2	4954	4501

Stop Event

1×	node limit

Counts

219 → 210

Calls

Call 1

Inputs
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(-.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 c a) (/.f64 (.f64 a -1/2) b_2)))) 1)
(/.f64 1 (/.f64 (.f64 a b_2) (.f64 -1/2 (*.f64 c a))))
(/.f64 1 (.f64 a (.f64 -2 (/.f64 b_2 (*.f64 c a)))))
(/.f64 1 (.f64 (.f64 -2 (/.f64 b_2 (*.f64 c a))) a))
(/.f64 1 (.f64 (/.f64 (.f64 a b_2) (*.f64 c -1/2)) (/.f64 1 a)))
(/.f64 1 (.f64 (.f64 a (sqrt.f64 (.f64 -2 (/.f64 b_2 (.f64 c a))))) (sqrt.f64 (.f64 -2 (/.f64 b_2 (.f64 c a))))))
(/.f64 a (/.f64 (.f64 a b_2) (.f64 c -1/2)))
(/.f64 a (.f64 (/.f64 (.f64 a b_2) (*.f64 c -1/2)) 1))
(/.f64 a (.f64 a (/.f64 b_2 (.f64 c -1/2))))
(/.f64 (/.f64 1 a) (.f64 -2 (/.f64 b_2 (.f64 c a))))
(/.f64 c (/.f64 (.f64 a b_2) (.f64 a -1/2)))
(/.f64 c (.f64 a (/.f64 b_2 (.f64 a -1/2))))
(/.f64 -1/2 (.f64 a (/.f64 b_2 (.f64 c a))))
(/.f64 (.f64 c -1/2) (/.f64 (.f64 a b_2) a))
(/.f64 (.f64 c -1/2) (.f64 a (/.f64 b_2 a)))
(/.f64 (.f64 c -1/2) (.f64 (/.f64 b_2 a) a))
(/.f64 (.f64 -1/2 (.f64 c a)) (*.f64 a b_2))
(/.f64 (.f64 (/.f64 c b_2) (.f64 a -1/2)) a)
(/.f64 (sqrt.f64 (.f64 (/.f64 c b_2) (.f64 a -1/2))) (.f64 a (sqrt.f64 (.f64 -2 (/.f64 b_2 (*.f64 c a))))))
(/.f64 (sqrt.f64 (.f64 c -1/2)) (.f64 a (/.f64 b_2 (.f64 (sqrt.f64 (.f64 c -1/2)) a))))
(/.f64 (sqrt.f64 (.f64 c -1/2)) (.f64 (.f64 a (sqrt.f64 (.f64 -2 (/.f64 b_2 (*.f64 c a))))) (sqrt.f64 (/.f64 b_2 a))))
(/.f64 (pow.f64 a -1/2) (.f64 (.f64 -2 (/.f64 b_2 (*.f64 c a))) (sqrt.f64 a)))
(/.f64 (sqrt.f64 (.f64 -1/2 (.f64 c a))) (/.f64 (.f64 a b_2) (sqrt.f64 (.f64 -1/2 (*.f64 c a)))))
(/.f64 (sqrt.f64 (.f64 -1/2 (.f64 c a))) (.f64 a (/.f64 b_2 (sqrt.f64 (.f64 -1/2 (*.f64 c a))))))
(/.f64 (sqrt.f64 (.f64 -1/2 (.f64 c a))) (.f64 (.f64 a (sqrt.f64 (.f64 -2 (/.f64 b_2 (.f64 c a))))) (sqrt.f64 b_2)))
(/.f64 (sqrt.f64 a) (.f64 (/.f64 (.f64 a b_2) (*.f64 c -1/2)) (pow.f64 a -1/2)))
(/.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 c b_2) (.f64 a -1/2))) 2) (.f64 a (cbrt.f64 (.f64 -2 (/.f64 b_2 (*.f64 c a))))))
(/.f64 (cbrt.f64 (.f64 (.f64 c c) 1/4)) (.f64 a (/.f64 (/.f64 b_2 a) (cbrt.f64 (.f64 c -1/2)))))
(/.f64 (pow.f64 (cbrt.f64 (.f64 -1/2 (.f64 c a))) 2) (/.f64 (.f64 a b_2) (cbrt.f64 (.f64 -1/2 (*.f64 c a)))))
(/.f64 (pow.f64 (cbrt.f64 (.f64 -1/2 (.f64 c a))) 2) (.f64 a (/.f64 b_2 (cbrt.f64 (.f64 -1/2 (*.f64 c a))))))
(/.f64 (pow.f64 (cbrt.f64 a) 2) (.f64 (/.f64 (.f64 a b_2) (*.f64 c -1/2)) (/.f64 1 (cbrt.f64 a))))
(/.f64 (/.f64 (.f64 -1/2 (.f64 c a)) a) b_2)
(/.f64 -1 (.f64 (neg.f64 a) (.f64 -2 (/.f64 b_2 (*.f64 c a)))))
(/.f64 -1 (.f64 (.f64 -2 (/.f64 b_2 (*.f64 c a))) (neg.f64 a)))
(/.f64 -1 (.f64 a (/.f64 b_2 (.f64 a (*.f64 c 1/2)))))
(/.f64 (neg.f64 a) (.f64 (/.f64 (.f64 a b_2) (*.f64 c -1/2)) -1))
(/.f64 (.f64 a (.f64 c 1/2)) (neg.f64 (*.f64 a b_2)))
(/.f64 (sqrt.f64 (.f64 a (.f64 c 1/2))) (.f64 (.f64 a (sqrt.f64 (.f64 -2 (/.f64 b_2 (.f64 c a))))) (sqrt.f64 (neg.f64 b_2))))
(/.f64 (.f64 (/.f64 1 a) (.f64 c -1/2)) (/.f64 b_2 a))
(/.f64 (.f64 (.f64 c -1/2) (/.f64 1 a)) (/.f64 b_2 a))
(/.f64 (/.f64 (.f64 -1/2 (.f64 c a)) 1) (*.f64 a b_2))
(/.f64 (/.f64 (.f64 -1/2 (.f64 c a)) (sqrt.f64 b_2)) (*.f64 a (sqrt.f64 b_2)))
(/.f64 (/.f64 (.f64 -1/2 (.f64 c a)) (pow.f64 (cbrt.f64 b_2) 2)) (*.f64 a (cbrt.f64 b_2)))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (.f64 (.f64 -2 (/.f64 b_2 (*.f64 c a))) (cbrt.f64 a)))
(/.f64 (/.f64 (.f64 -1/2 (.f64 c a)) (*.f64 (sqrt.f64 a) b_2)) (sqrt.f64 a))
(/.f64 (/.f64 c (.f64 (pow.f64 (cbrt.f64 a) 2) (/.f64 b_2 (.f64 a -1/2)))) (cbrt.f64 a))
(/.f64 (/.f64 (/.f64 (.f64 -1/2 (.f64 c a)) a) (sqrt.f64 b_2)) (sqrt.f64 b_2))
(/.f64 (/.f64 (.f64 -1/2 (.f64 c a)) (*.f64 (pow.f64 (cbrt.f64 b_2) 2) a)) (cbrt.f64 b_2))
(/.f64 (.f64 c 1/2) (.f64 (neg.f64 a) (/.f64 b_2 a)))
(/.f64 (.f64 c 1/2) (.f64 (/.f64 b_2 a) (neg.f64 a)))
(/.f64 (.f64 c 1/2) (.f64 a (/.f64 b_2 (neg.f64 a))))
(/.f64 (.f64 (.f64 c 1/2) (/.f64 a b_2)) (neg.f64 a))
(/.f64 (/.f64 (.f64 a (.f64 c 1/2)) a) (neg.f64 b_2))
(pow.f64 (.f64 (/.f64 c a) (/.f64 (.f64 a -1/2) b_2)) 1)
(pow.f64 (sqrt.f64 (.f64 (/.f64 c a) (/.f64 (.f64 a -1/2) b_2))) 2)
(pow.f64 (cbrt.f64 (.f64 (/.f64 c a) (/.f64 (.f64 a -1/2) b_2))) 3)
(pow.f64 (pow.f64 (.f64 (/.f64 c a) (/.f64 (.f64 a -1/2) b_2)) 3) 1/3)
(neg.f64 (/.f64 (.f64 (/.f64 c b_2) (.f64 a -1/2)) (neg.f64 a)))
(neg.f64 (.f64 (.f64 (*.f64 c 1/2) (/.f64 a b_2)) (/.f64 1 a)))
(neg.f64 (.f64 (/.f64 1 a) (.f64 (*.f64 c 1/2) (/.f64 a b_2))))
(neg.f64 (/.f64 (.f64 (.f64 c 1/2) (/.f64 a b_2)) a))
(neg.f64 (/.f64 (.f64 -1/2 (.f64 c a)) (neg.f64 (*.f64 a b_2))))
(neg.f64 (/.f64 (/.f64 (.f64 -1/2 (.f64 c a)) a) (neg.f64 b_2)))
(sqrt.f64 (pow.f64 (.f64 (/.f64 c a) (/.f64 (.f64 a -1/2) b_2)) 2))
(log.f64 (exp.f64 (.f64 (/.f64 c a) (/.f64 (.f64 a -1/2) b_2))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 c a) (/.f64 (.f64 a -1/2) b_2)))))
(cbrt.f64 (pow.f64 (.f64 (/.f64 c a) (/.f64 (.f64 a -1/2) b_2)) 3))
(cbrt.f64 (.f64 (/.f64 1 (pow.f64 a 3)) (pow.f64 (.f64 (/.f64 c b_2) (*.f64 a -1/2)) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 (/.f64 c b_2) (*.f64 a -1/2)) 3) (/.f64 1 (pow.f64 a 3))))
(cbrt.f64 (/.f64 (pow.f64 (.f64 (/.f64 c b_2) (.f64 a -1/2)) 3) (pow.f64 a 3)))
(expm1.f64 (log1p.f64 (.f64 (/.f64 c a) (/.f64 (.f64 a -1/2) b_2))))
(exp.f64 (log.f64 (.f64 (/.f64 c a) (/.f64 (.f64 a -1/2) b_2))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 c a) (/.f64 (*.f64 a -1/2) b_2))) 1))
(log1p.f64 (expm1.f64 (.f64 (/.f64 c a) (/.f64 (.f64 a -1/2) b_2))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 c b_2) (.f64 a -1/2)))) 1)
(.f64 1 (.f64 (/.f64 c b_2) (*.f64 a -1/2)))
(.f64 a (.f64 (*.f64 c -1/2) (/.f64 1 b_2)))
(.f64 a (/.f64 (.f64 c -1/2) b_2))
(.f64 c (.f64 (*.f64 a -1/2) (/.f64 1 b_2)))
(.f64 (.f64 c -1/2) (*.f64 a (/.f64 1 b_2)))
(.f64 (.f64 c -1/2) (/.f64 a b_2))
(.f64 (.f64 -1/2 (*.f64 c a)) (/.f64 1 b_2))
(.f64 (.f64 (/.f64 c b_2) (*.f64 a -1/2)) 1)
(.f64 (sqrt.f64 (.f64 (/.f64 c b_2) (.f64 a -1/2))) (sqrt.f64 (.f64 (/.f64 c b_2) (*.f64 a -1/2))))
(.f64 (sqrt.f64 (.f64 -1/2 (.f64 c a))) (.f64 (sqrt.f64 (.f64 -1/2 (.f64 c a))) (/.f64 1 b_2)))
(.f64 (cbrt.f64 (.f64 (/.f64 c b_2) (.f64 a -1/2))) (pow.f64 (cbrt.f64 (.f64 (/.f64 c b_2) (*.f64 a -1/2))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 c b_2) (.f64 a -1/2))) 2) (cbrt.f64 (.f64 (/.f64 c b_2) (*.f64 a -1/2))))
(.f64 (pow.f64 (cbrt.f64 (.f64 -1/2 (.f64 c a))) 2) (.f64 (cbrt.f64 (.f64 -1/2 (.f64 c a))) (/.f64 1 b_2)))
(.f64 (/.f64 1 b_2) (.f64 -1/2 (*.f64 c a)))
(.f64 (.f64 a (*.f64 c 1/2)) (/.f64 1 (neg.f64 b_2)))
(.f64 (/.f64 1 (sqrt.f64 b_2)) (/.f64 (.f64 -1/2 (*.f64 c a)) (sqrt.f64 b_2)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 b_2) 2)) (/.f64 (.f64 -1/2 (*.f64 c a)) (cbrt.f64 b_2)))
(.f64 (/.f64 a b_2) (.f64 c -1/2))
(.f64 (/.f64 a (sqrt.f64 b_2)) (/.f64 (.f64 c -1/2) (sqrt.f64 b_2)))
(.f64 (/.f64 (.f64 c -1/2) b_2) a)
(.f64 (/.f64 1 (neg.f64 b_2)) (.f64 a (*.f64 c 1/2)))
(.f64 (/.f64 (.f64 c -1/2) (sqrt.f64 b_2)) (/.f64 a (sqrt.f64 b_2)))
(.f64 (/.f64 a (pow.f64 (cbrt.f64 b_2) 2)) (/.f64 (.f64 c -1/2) (cbrt.f64 b_2)))
(.f64 (/.f64 c 1) (/.f64 (.f64 a -1/2) b_2))
(.f64 (/.f64 c (sqrt.f64 b_2)) (/.f64 (.f64 a -1/2) (sqrt.f64 b_2)))
(.f64 (/.f64 c (pow.f64 (cbrt.f64 b_2) 2)) (/.f64 (.f64 a -1/2) (cbrt.f64 b_2)))
(.f64 (/.f64 (.f64 c -1/2) 1) (/.f64 a b_2))
(.f64 (/.f64 (.f64 c -1/2) (pow.f64 (cbrt.f64 b_2) 2)) (/.f64 a (cbrt.f64 b_2)))
(.f64 (/.f64 (sqrt.f64 (.f64 -1/2 (.f64 c a))) 1) (/.f64 (sqrt.f64 (.f64 -1/2 (*.f64 c a))) b_2))
(.f64 (/.f64 (sqrt.f64 (.f64 -1/2 (.f64 c a))) b_2) (sqrt.f64 (.f64 -1/2 (*.f64 c a))))
(.f64 (/.f64 (sqrt.f64 (.f64 -1/2 (.f64 c a))) (pow.f64 (cbrt.f64 b_2) 2)) (/.f64 (sqrt.f64 (.f64 -1/2 (*.f64 c a))) (cbrt.f64 b_2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 -1/2 (.f64 c a))) 2) 1) (/.f64 (cbrt.f64 (.f64 -1/2 (*.f64 c a))) b_2))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 -1/2 (.f64 c a))) 2) (sqrt.f64 b_2)) (/.f64 (cbrt.f64 (.f64 -1/2 (*.f64 c a))) (sqrt.f64 b_2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 -1/2 (.f64 c a))) 2) (pow.f64 (cbrt.f64 b_2) 2)) (cbrt.f64 (.f64 (/.f64 c b_2) (*.f64 a -1/2))))
(.f64 (/.f64 1 (/.f64 b_2 c)) (.f64 a -1/2))
(.f64 (/.f64 1 (/.f64 b_2 (.f64 c -1/2))) a)
(.f64 (/.f64 1 (/.f64 b_2 (sqrt.f64 (.f64 -1/2 (.f64 c a))))) (sqrt.f64 (.f64 -1/2 (*.f64 c a))))
(.f64 (/.f64 1 (/.f64 b_2 (pow.f64 (cbrt.f64 (.f64 -1/2 (.f64 c a))) 2))) (cbrt.f64 (.f64 -1/2 (*.f64 c a))))
(*.f64 (/.f64 c (/.f64 b_2 a)) -1/2)
(.f64 (/.f64 c b_2) (.f64 a -1/2))
(*.f64 (/.f64 -1/2 (/.f64 b_2 a)) c)
(.f64 (/.f64 (.f64 c -1/2) (neg.f64 b_2)) (neg.f64 a))
(.f64 (/.f64 (.f64 c -1/2) (/.f64 b_2 1)) a)
(.f64 (/.f64 (.f64 c -1/2) (/.f64 b_2 (sqrt.f64 a))) (sqrt.f64 a))
(.f64 (/.f64 (.f64 c -1/2) (/.f64 b_2 (pow.f64 (cbrt.f64 a) 2))) (cbrt.f64 a))
(.f64 (/.f64 (sqrt.f64 (.f64 c -1/2)) (/.f64 b_2 a)) (sqrt.f64 (*.f64 c -1/2)))
(.f64 (/.f64 (cbrt.f64 (.f64 (.f64 c c) 1/4)) (/.f64 b_2 a)) (cbrt.f64 (.f64 c -1/2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 -1/2 (.f64 c a))) 2) b_2) (cbrt.f64 (.f64 -1/2 (*.f64 c a))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 (/.f64 c b_2) (.f64 a -1/2)))) (cbrt.f64 (.f64 (/.f64 c b_2) (.f64 a -1/2)))) (.f64 (sqrt.f64 (cbrt.f64 (.f64 (/.f64 c b_2) (.f64 a -1/2)))) (cbrt.f64 (.f64 (/.f64 c b_2) (*.f64 a -1/2)))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 (/.f64 c b_2) (.f64 a -1/2)))) (cbrt.f64 (.f64 (/.f64 c b_2) (.f64 a -1/2)))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 (/.f64 c b_2) (.f64 a -1/2)))) (cbrt.f64 (.f64 (/.f64 c b_2) (*.f64 a -1/2)))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 (/.f64 c b_2) (.f64 a -1/2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 c b_2) (.f64 a -1/2))) 2))) (.f64 (sqrt.f64 (cbrt.f64 (.f64 (/.f64 c b_2) (.f64 a -1/2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 c b_2) (*.f64 a -1/2))) 2))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 (/.f64 c b_2) (.f64 a -1/2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 c b_2) (.f64 a -1/2))) 2))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 (/.f64 c b_2) (.f64 a -1/2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 c b_2) (*.f64 a -1/2))) 2))))
(.f64 (.f64 (cbrt.f64 (.f64 (/.f64 c b_2) (.f64 a -1/2))) (sqrt.f64 (cbrt.f64 (.f64 (/.f64 c b_2) (.f64 a -1/2))))) (.f64 (cbrt.f64 (.f64 (/.f64 c b_2) (.f64 a -1/2))) (sqrt.f64 (cbrt.f64 (.f64 (/.f64 c b_2) (*.f64 a -1/2))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 c b_2) (.f64 a -1/2))) 2)) (cbrt.f64 (sqrt.f64 (.f64 (/.f64 c b_2) (.f64 a -1/2))))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 c b_2) (.f64 a -1/2))) 2)) (cbrt.f64 (sqrt.f64 (.f64 (/.f64 c b_2) (*.f64 a -1/2))))))
(.f64 (.f64 (sqrt.f64 (/.f64 1 b_2)) (sqrt.f64 (.f64 -1/2 (.f64 c a)))) (.f64 (sqrt.f64 (/.f64 1 b_2)) (sqrt.f64 (.f64 -1/2 (*.f64 c a)))))
(pow.f64 (.f64 (/.f64 c b_2) (.f64 a -1/2)) 1)
(pow.f64 (sqrt.f64 (.f64 (/.f64 c b_2) (.f64 a -1/2))) 2)
(pow.f64 (cbrt.f64 (.f64 (/.f64 c b_2) (.f64 a -1/2))) 3)
(pow.f64 (pow.f64 (.f64 (/.f64 c b_2) (.f64 a -1/2)) 3) 1/3)
(pow.f64 (.f64 -2 (/.f64 b_2 (.f64 c a))) -1)
(neg.f64 (.f64 (.f64 c 1/2) (/.f64 a b_2)))
(neg.f64 (/.f64 (.f64 (.f64 c 1/2) (/.f64 a b_2)) 1))
(neg.f64 (/.f64 (*.f64 c -1/2) (/.f64 b_2 (neg.f64 a))))
(sqrt.f64 (pow.f64 (.f64 (/.f64 c b_2) (.f64 a -1/2)) 2))
(log.f64 (exp.f64 (.f64 (/.f64 c b_2) (.f64 a -1/2))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 c b_2) (.f64 a -1/2)))))
(cbrt.f64 (pow.f64 (.f64 (/.f64 c b_2) (.f64 a -1/2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (.f64 -1/2 (.f64 c a)) 3) (pow.f64 b_2 3)))
(expm1.f64 (log1p.f64 (.f64 (/.f64 c b_2) (.f64 a -1/2))))
(exp.f64 (log.f64 (.f64 (/.f64 c b_2) (.f64 a -1/2))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 c b_2) (*.f64 a -1/2))) 1))
(log1p.f64 (expm1.f64 (.f64 (/.f64 c b_2) (.f64 a -1/2))))

Outputs
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 (.f64 -1/2 c) (/.f64 a b_2))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 (.f64 -1/2 c) (/.f64 a b_2))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 (.f64 -1/2 c) (/.f64 a b_2))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 (.f64 -1/2 c) (/.f64 a b_2))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 (.f64 -1/2 c) (/.f64 a b_2))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 (.f64 -1/2 c) (/.f64 a b_2))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 (.f64 -1/2 c) (/.f64 a b_2))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 (.f64 -1/2 c) (/.f64 a b_2))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 (.f64 -1/2 c) (/.f64 a b_2))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 (.f64 -1/2 c) (/.f64 a b_2))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 (.f64 -1/2 c) (/.f64 a b_2))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 (.f64 -1/2 c) (/.f64 a b_2))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 (.f64 -1/2 c) (/.f64 a b_2))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 (.f64 -1/2 c) (/.f64 a b_2))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 (.f64 -1/2 c) (/.f64 a b_2))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 (.f64 -1/2 c) (/.f64 a b_2))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 (.f64 -1/2 c) (/.f64 a b_2))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 (.f64 -1/2 c) (/.f64 a b_2))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 (.f64 -1/2 c) (/.f64 a b_2))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 (.f64 -1/2 c) (/.f64 a b_2))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 (.f64 -1/2 c) (/.f64 a b_2))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 (.f64 -1/2 c) (/.f64 a b_2))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 (.f64 -1/2 c) (/.f64 a b_2))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 (.f64 -1/2 c) (/.f64 a b_2))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 (.f64 -1/2 c) (/.f64 a b_2))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 (.f64 -1/2 c) (/.f64 a b_2))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 (.f64 -1/2 c) (/.f64 a b_2))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 (.f64 -1/2 c) (/.f64 a b_2))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 (.f64 -1/2 c) (/.f64 a b_2))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
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(.f64 (.f64 -1/2 c) (/.f64 a b_2))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 (/.f64 1 b_2) (.f64 -1/2 (*.f64 c a)))
(.f64 (.f64 -1/2 c) (/.f64 a b_2))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 (.f64 a (*.f64 c 1/2)) (/.f64 1 (neg.f64 b_2)))
(.f64 (.f64 -1/2 c) (/.f64 a b_2))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 (/.f64 1 (sqrt.f64 b_2)) (/.f64 (.f64 -1/2 (*.f64 c a)) (sqrt.f64 b_2)))
(.f64 (/.f64 (.f64 -1/2 (*.f64 c a)) (sqrt.f64 b_2)) (/.f64 1 (sqrt.f64 b_2)))
(/.f64 (/.f64 c (/.f64 (sqrt.f64 b_2) -1/2)) (/.f64 (sqrt.f64 b_2) a))
(.f64 (/.f64 a (sqrt.f64 b_2)) (/.f64 (.f64 -1/2 c) (sqrt.f64 b_2)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 b_2) 2)) (/.f64 (.f64 -1/2 (*.f64 c a)) (cbrt.f64 b_2)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 b_2) 2)) (/.f64 -1/2 (/.f64 (cbrt.f64 b_2) (.f64 c a))))
(/.f64 c (/.f64 (pow.f64 (cbrt.f64 b_2) 2) (/.f64 (*.f64 -1/2 a) (cbrt.f64 b_2))))
(.f64 (/.f64 a (pow.f64 (cbrt.f64 b_2) 2)) (/.f64 (.f64 -1/2 c) (cbrt.f64 b_2)))
(.f64 (/.f64 a b_2) (.f64 c -1/2))
(.f64 (.f64 -1/2 c) (/.f64 a b_2))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 (/.f64 a (sqrt.f64 b_2)) (/.f64 (.f64 c -1/2) (sqrt.f64 b_2)))
(.f64 (/.f64 (.f64 -1/2 (*.f64 c a)) (sqrt.f64 b_2)) (/.f64 1 (sqrt.f64 b_2)))
(/.f64 (/.f64 c (/.f64 (sqrt.f64 b_2) -1/2)) (/.f64 (sqrt.f64 b_2) a))
(.f64 (/.f64 a (sqrt.f64 b_2)) (/.f64 (.f64 -1/2 c) (sqrt.f64 b_2)))
(.f64 (/.f64 (.f64 c -1/2) b_2) a)
(.f64 (.f64 -1/2 c) (/.f64 a b_2))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 (/.f64 1 (neg.f64 b_2)) (.f64 a (*.f64 c 1/2)))
(.f64 (.f64 -1/2 c) (/.f64 a b_2))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 (/.f64 (.f64 c -1/2) (sqrt.f64 b_2)) (/.f64 a (sqrt.f64 b_2)))
(.f64 (/.f64 (.f64 -1/2 (*.f64 c a)) (sqrt.f64 b_2)) (/.f64 1 (sqrt.f64 b_2)))
(/.f64 (/.f64 c (/.f64 (sqrt.f64 b_2) -1/2)) (/.f64 (sqrt.f64 b_2) a))
(.f64 (/.f64 a (sqrt.f64 b_2)) (/.f64 (.f64 -1/2 c) (sqrt.f64 b_2)))
(.f64 (/.f64 a (pow.f64 (cbrt.f64 b_2) 2)) (/.f64 (.f64 c -1/2) (cbrt.f64 b_2)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 b_2) 2)) (/.f64 -1/2 (/.f64 (cbrt.f64 b_2) (.f64 c a))))
(/.f64 c (/.f64 (pow.f64 (cbrt.f64 b_2) 2) (/.f64 (*.f64 -1/2 a) (cbrt.f64 b_2))))
(.f64 (/.f64 a (pow.f64 (cbrt.f64 b_2) 2)) (/.f64 (.f64 -1/2 c) (cbrt.f64 b_2)))
(.f64 (/.f64 c 1) (/.f64 (.f64 a -1/2) b_2))
(.f64 (.f64 -1/2 c) (/.f64 a b_2))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 (/.f64 c (sqrt.f64 b_2)) (/.f64 (.f64 a -1/2) (sqrt.f64 b_2)))
(.f64 (/.f64 (.f64 -1/2 (*.f64 c a)) (sqrt.f64 b_2)) (/.f64 1 (sqrt.f64 b_2)))
(/.f64 (/.f64 c (/.f64 (sqrt.f64 b_2) -1/2)) (/.f64 (sqrt.f64 b_2) a))
(.f64 (/.f64 a (sqrt.f64 b_2)) (/.f64 (.f64 -1/2 c) (sqrt.f64 b_2)))
(.f64 (/.f64 c (pow.f64 (cbrt.f64 b_2) 2)) (/.f64 (.f64 a -1/2) (cbrt.f64 b_2)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 b_2) 2)) (/.f64 -1/2 (/.f64 (cbrt.f64 b_2) (.f64 c a))))
(/.f64 c (/.f64 (pow.f64 (cbrt.f64 b_2) 2) (/.f64 (*.f64 -1/2 a) (cbrt.f64 b_2))))
(.f64 (/.f64 a (pow.f64 (cbrt.f64 b_2) 2)) (/.f64 (.f64 -1/2 c) (cbrt.f64 b_2)))
(.f64 (/.f64 (.f64 c -1/2) 1) (/.f64 a b_2))
(.f64 (.f64 -1/2 c) (/.f64 a b_2))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 (/.f64 (.f64 c -1/2) (pow.f64 (cbrt.f64 b_2) 2)) (/.f64 a (cbrt.f64 b_2)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 b_2) 2)) (/.f64 -1/2 (/.f64 (cbrt.f64 b_2) (.f64 c a))))
(/.f64 c (/.f64 (pow.f64 (cbrt.f64 b_2) 2) (/.f64 (*.f64 -1/2 a) (cbrt.f64 b_2))))
(.f64 (/.f64 a (pow.f64 (cbrt.f64 b_2) 2)) (/.f64 (.f64 -1/2 c) (cbrt.f64 b_2)))
(.f64 (/.f64 (sqrt.f64 (.f64 -1/2 (.f64 c a))) 1) (/.f64 (sqrt.f64 (.f64 -1/2 (*.f64 c a))) b_2))
(.f64 (.f64 -1/2 c) (/.f64 a b_2))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 (/.f64 (sqrt.f64 (.f64 -1/2 (.f64 c a))) b_2) (sqrt.f64 (.f64 -1/2 (*.f64 c a))))
(.f64 (.f64 -1/2 c) (/.f64 a b_2))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 (/.f64 (sqrt.f64 (.f64 -1/2 (.f64 c a))) (pow.f64 (cbrt.f64 b_2) 2)) (/.f64 (sqrt.f64 (.f64 -1/2 (*.f64 c a))) (cbrt.f64 b_2)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 b_2) 2)) (/.f64 -1/2 (/.f64 (cbrt.f64 b_2) (.f64 c a))))
(/.f64 c (/.f64 (pow.f64 (cbrt.f64 b_2) 2) (/.f64 (*.f64 -1/2 a) (cbrt.f64 b_2))))
(.f64 (/.f64 a (pow.f64 (cbrt.f64 b_2) 2)) (/.f64 (.f64 -1/2 c) (cbrt.f64 b_2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 -1/2 (.f64 c a))) 2) 1) (/.f64 (cbrt.f64 (.f64 -1/2 (*.f64 c a))) b_2))
(.f64 (.f64 -1/2 c) (/.f64 a b_2))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 -1/2 (.f64 c a))) 2) (sqrt.f64 b_2)) (/.f64 (cbrt.f64 (.f64 -1/2 (*.f64 c a))) (sqrt.f64 b_2)))
(.f64 (/.f64 (.f64 -1/2 (*.f64 c a)) (sqrt.f64 b_2)) (/.f64 1 (sqrt.f64 b_2)))
(/.f64 (/.f64 c (/.f64 (sqrt.f64 b_2) -1/2)) (/.f64 (sqrt.f64 b_2) a))
(.f64 (/.f64 a (sqrt.f64 b_2)) (/.f64 (.f64 -1/2 c) (sqrt.f64 b_2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 -1/2 (.f64 c a))) 2) (pow.f64 (cbrt.f64 b_2) 2)) (cbrt.f64 (.f64 (/.f64 c b_2) (*.f64 a -1/2))))
(.f64 (cbrt.f64 (.f64 (.f64 -1/2 c) (/.f64 a b_2))) (/.f64 (pow.f64 (cbrt.f64 (.f64 -1/2 (*.f64 c a))) 2) (pow.f64 (cbrt.f64 b_2) 2)))
(.f64 (cbrt.f64 (.f64 -1/2 (.f64 c (/.f64 a b_2)))) (/.f64 (pow.f64 (cbrt.f64 (.f64 -1/2 (*.f64 c a))) 2) (pow.f64 (cbrt.f64 b_2) 2)))
(.f64 (/.f64 1 (/.f64 b_2 c)) (.f64 a -1/2))
(.f64 (.f64 -1/2 c) (/.f64 a b_2))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 (/.f64 1 (/.f64 b_2 (.f64 c -1/2))) a)
(.f64 (.f64 -1/2 c) (/.f64 a b_2))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 (/.f64 1 (/.f64 b_2 (sqrt.f64 (.f64 -1/2 (.f64 c a))))) (sqrt.f64 (.f64 -1/2 (*.f64 c a))))
(.f64 (.f64 -1/2 c) (/.f64 a b_2))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 (/.f64 1 (/.f64 b_2 (pow.f64 (cbrt.f64 (.f64 -1/2 (.f64 c a))) 2))) (cbrt.f64 (.f64 -1/2 (*.f64 c a))))
(.f64 (.f64 -1/2 c) (/.f64 a b_2))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(*.f64 (/.f64 c (/.f64 b_2 a)) -1/2)
(.f64 (.f64 -1/2 c) (/.f64 a b_2))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 (/.f64 c b_2) (.f64 a -1/2))
(.f64 (.f64 -1/2 c) (/.f64 a b_2))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(*.f64 (/.f64 -1/2 (/.f64 b_2 a)) c)
(.f64 (.f64 -1/2 c) (/.f64 a b_2))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 (/.f64 (.f64 c -1/2) (neg.f64 b_2)) (neg.f64 a))
(.f64 (.f64 -1/2 c) (/.f64 a b_2))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 (/.f64 (.f64 c -1/2) (/.f64 b_2 1)) a)
(.f64 (.f64 -1/2 c) (/.f64 a b_2))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 (/.f64 (.f64 c -1/2) (/.f64 b_2 (sqrt.f64 a))) (sqrt.f64 a))
(/.f64 (.f64 (.f64 -1/2 c) (sqrt.f64 a)) (/.f64 b_2 (sqrt.f64 a)))
(/.f64 (.f64 c (sqrt.f64 a)) (/.f64 b_2 (.f64 -1/2 (sqrt.f64 a))))
(.f64 (.f64 -1/2 (/.f64 c b_2)) (*.f64 (sqrt.f64 a) (sqrt.f64 a)))
(.f64 (/.f64 (.f64 c -1/2) (/.f64 b_2 (pow.f64 (cbrt.f64 a) 2))) (cbrt.f64 a))
(/.f64 (.f64 (.f64 -1/2 c) (cbrt.f64 a)) (/.f64 b_2 (pow.f64 (cbrt.f64 a) 2)))
(.f64 (.f64 -1/2 (/.f64 c b_2)) (*.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a)))
(.f64 (/.f64 (sqrt.f64 (.f64 c -1/2)) (/.f64 b_2 a)) (sqrt.f64 (*.f64 c -1/2)))
(.f64 (.f64 -1/2 c) (/.f64 a b_2))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 (/.f64 (cbrt.f64 (.f64 (.f64 c c) 1/4)) (/.f64 b_2 a)) (cbrt.f64 (.f64 c -1/2)))
(.f64 (cbrt.f64 (.f64 -1/2 c)) (/.f64 (cbrt.f64 (.f64 (.f64 c c) 1/4)) (/.f64 b_2 a)))
(.f64 (cbrt.f64 (.f64 -1/2 c)) (/.f64 (cbrt.f64 (.f64 c (.f64 c 1/4))) (/.f64 b_2 a)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 -1/2 (.f64 c a))) 2) b_2) (cbrt.f64 (.f64 -1/2 (*.f64 c a))))
(.f64 (.f64 -1/2 c) (/.f64 a b_2))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 (/.f64 c b_2) (.f64 a -1/2)))) (cbrt.f64 (.f64 (/.f64 c b_2) (.f64 a -1/2)))) (.f64 (sqrt.f64 (cbrt.f64 (.f64 (/.f64 c b_2) (.f64 a -1/2)))) (cbrt.f64 (.f64 (/.f64 c b_2) (*.f64 a -1/2)))))
(.f64 (.f64 -1/2 c) (/.f64 a b_2))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 (/.f64 c b_2) (.f64 a -1/2)))) (cbrt.f64 (.f64 (/.f64 c b_2) (.f64 a -1/2)))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 (/.f64 c b_2) (.f64 a -1/2)))) (cbrt.f64 (.f64 (/.f64 c b_2) (*.f64 a -1/2)))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 (.f64 -1/2 c) (/.f64 a b_2)))) (cbrt.f64 (sqrt.f64 (.f64 (.f64 -1/2 c) (/.f64 a b_2))))) (pow.f64 (cbrt.f64 (.f64 (.f64 -1/2 c) (/.f64 a b_2))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 -1/2 c) (/.f64 a b_2))) 2) (.f64 (cbrt.f64 (sqrt.f64 (.f64 (.f64 -1/2 c) (/.f64 a b_2)))) (cbrt.f64 (sqrt.f64 (.f64 (.f64 -1/2 c) (/.f64 a b_2))))))
(.f64 (pow.f64 (cbrt.f64 (.f64 -1/2 (.f64 c (/.f64 a b_2)))) 2) (.f64 (cbrt.f64 (sqrt.f64 (.f64 -1/2 (.f64 c (/.f64 a b_2))))) (cbrt.f64 (sqrt.f64 (.f64 -1/2 (.f64 c (/.f64 a b_2)))))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 (/.f64 c b_2) (.f64 a -1/2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 c b_2) (.f64 a -1/2))) 2))) (.f64 (sqrt.f64 (cbrt.f64 (.f64 (/.f64 c b_2) (.f64 a -1/2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 c b_2) (*.f64 a -1/2))) 2))))
(.f64 (.f64 -1/2 c) (/.f64 a b_2))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 (/.f64 c b_2) (.f64 a -1/2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 c b_2) (.f64 a -1/2))) 2))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 (/.f64 c b_2) (.f64 a -1/2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 c b_2) (*.f64 a -1/2))) 2))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 (.f64 -1/2 c) (/.f64 a b_2)))) (cbrt.f64 (sqrt.f64 (.f64 (.f64 -1/2 c) (/.f64 a b_2))))) (pow.f64 (cbrt.f64 (.f64 (.f64 -1/2 c) (/.f64 a b_2))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 -1/2 c) (/.f64 a b_2))) 2) (.f64 (cbrt.f64 (sqrt.f64 (.f64 (.f64 -1/2 c) (/.f64 a b_2)))) (cbrt.f64 (sqrt.f64 (.f64 (.f64 -1/2 c) (/.f64 a b_2))))))
(.f64 (pow.f64 (cbrt.f64 (.f64 -1/2 (.f64 c (/.f64 a b_2)))) 2) (.f64 (cbrt.f64 (sqrt.f64 (.f64 -1/2 (.f64 c (/.f64 a b_2))))) (cbrt.f64 (sqrt.f64 (.f64 -1/2 (.f64 c (/.f64 a b_2)))))))
(.f64 (.f64 (cbrt.f64 (.f64 (/.f64 c b_2) (.f64 a -1/2))) (sqrt.f64 (cbrt.f64 (.f64 (/.f64 c b_2) (.f64 a -1/2))))) (.f64 (cbrt.f64 (.f64 (/.f64 c b_2) (.f64 a -1/2))) (sqrt.f64 (cbrt.f64 (.f64 (/.f64 c b_2) (*.f64 a -1/2))))))
(.f64 (.f64 -1/2 c) (/.f64 a b_2))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 c b_2) (.f64 a -1/2))) 2)) (cbrt.f64 (sqrt.f64 (.f64 (/.f64 c b_2) (.f64 a -1/2))))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 c b_2) (.f64 a -1/2))) 2)) (cbrt.f64 (sqrt.f64 (.f64 (/.f64 c b_2) (*.f64 a -1/2))))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 (.f64 -1/2 c) (/.f64 a b_2)))) (cbrt.f64 (sqrt.f64 (.f64 (.f64 -1/2 c) (/.f64 a b_2))))) (pow.f64 (cbrt.f64 (.f64 (.f64 -1/2 c) (/.f64 a b_2))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 -1/2 c) (/.f64 a b_2))) 2) (.f64 (cbrt.f64 (sqrt.f64 (.f64 (.f64 -1/2 c) (/.f64 a b_2)))) (cbrt.f64 (sqrt.f64 (.f64 (.f64 -1/2 c) (/.f64 a b_2))))))
(.f64 (pow.f64 (cbrt.f64 (.f64 -1/2 (.f64 c (/.f64 a b_2)))) 2) (.f64 (cbrt.f64 (sqrt.f64 (.f64 -1/2 (.f64 c (/.f64 a b_2))))) (cbrt.f64 (sqrt.f64 (.f64 -1/2 (.f64 c (/.f64 a b_2)))))))
(.f64 (.f64 (sqrt.f64 (/.f64 1 b_2)) (sqrt.f64 (.f64 -1/2 (.f64 c a)))) (.f64 (sqrt.f64 (/.f64 1 b_2)) (sqrt.f64 (.f64 -1/2 (*.f64 c a)))))
(.f64 (.f64 -1/2 c) (/.f64 a b_2))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(pow.f64 (.f64 (/.f64 c b_2) (.f64 a -1/2)) 1)
(.f64 (.f64 -1/2 c) (/.f64 a b_2))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(pow.f64 (sqrt.f64 (.f64 (/.f64 c b_2) (.f64 a -1/2))) 2)
(.f64 (.f64 -1/2 c) (/.f64 a b_2))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(pow.f64 (cbrt.f64 (.f64 (/.f64 c b_2) (.f64 a -1/2))) 3)
(.f64 (.f64 -1/2 c) (/.f64 a b_2))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(pow.f64 (pow.f64 (.f64 (/.f64 c b_2) (.f64 a -1/2)) 3) 1/3)
(.f64 (.f64 -1/2 c) (/.f64 a b_2))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(pow.f64 (.f64 -2 (/.f64 b_2 (.f64 c a))) -1)
(.f64 (.f64 -1/2 c) (/.f64 a b_2))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(neg.f64 (.f64 (.f64 c 1/2) (/.f64 a b_2)))
(.f64 (.f64 -1/2 c) (/.f64 a b_2))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(neg.f64 (/.f64 (.f64 (.f64 c 1/2) (/.f64 a b_2)) 1))
(.f64 (.f64 -1/2 c) (/.f64 a b_2))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(neg.f64 (/.f64 (*.f64 c -1/2) (/.f64 b_2 (neg.f64 a))))
(.f64 (.f64 -1/2 c) (/.f64 a b_2))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(sqrt.f64 (pow.f64 (.f64 (/.f64 c b_2) (.f64 a -1/2)) 2))
(sqrt.f64 (pow.f64 (.f64 (.f64 -1/2 c) (/.f64 a b_2)) 2))
(fabs.f64 (.f64 (.f64 -1/2 c) (/.f64 a b_2)))
(fabs.f64 (.f64 -1/2 (.f64 c (/.f64 a b_2))))
(log.f64 (exp.f64 (.f64 (/.f64 c b_2) (.f64 a -1/2))))
(.f64 (.f64 -1/2 c) (/.f64 a b_2))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 c b_2) (.f64 a -1/2)))))
(.f64 (.f64 -1/2 c) (/.f64 a b_2))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(cbrt.f64 (pow.f64 (.f64 (/.f64 c b_2) (.f64 a -1/2)) 3))
(.f64 (.f64 -1/2 c) (/.f64 a b_2))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(cbrt.f64 (/.f64 (pow.f64 (.f64 -1/2 (.f64 c a)) 3) (pow.f64 b_2 3)))
(.f64 (.f64 -1/2 c) (/.f64 a b_2))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(expm1.f64 (log1p.f64 (.f64 (/.f64 c b_2) (.f64 a -1/2))))
(.f64 (.f64 -1/2 c) (/.f64 a b_2))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(exp.f64 (log.f64 (.f64 (/.f64 c b_2) (.f64 a -1/2))))
(.f64 (.f64 -1/2 c) (/.f64 a b_2))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 c b_2) (*.f64 a -1/2))) 1))
(.f64 (.f64 -1/2 c) (/.f64 a b_2))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(log1p.f64 (expm1.f64 (.f64 (/.f64 c b_2) (.f64 a -1/2))))
(.f64 (.f64 -1/2 c) (/.f64 a b_2))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (sqrt.f64 (-.f64 0 (*.f64 c a))) a)
✓	14.2b	(sqrt.f64 (-.f64 0 (*.f64 c a)))

Compiler

Compiled 28 to 14 computations (50% saved)

series7.0ms (0%)

Counts

2 → 0

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	a	@	0	(sqrt.f64 (-.f64 0 (*.f64 c a)))
1.0ms	c	@	0	(sqrt.f64 (-.f64 0 (*.f64 c a)))
1.0ms	c	@	0	(/.f64 (sqrt.f64 (-.f64 0 (*.f64 c a))) a)
0.0ms	c	@	inf	(/.f64 (sqrt.f64 (-.f64 0 (*.f64 c a))) a)
0.0ms	a	@	-inf	(/.f64 (sqrt.f64 (-.f64 0 (*.f64 c a))) a)

rewrite63.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1822×	`add-sqr-sqrt`
1804×	`*-un-lft-identity`
1684×	`add-cube-cbrt`
1666×	`add-cbrt-cube`
210×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	36
1	214	28
2	2900	28

Stop Event

1×	node limit

Counts

2 → 59

Calls

Call 1

Inputs
(sqrt.f64 (-.f64 0 (*.f64 c a)))
(/.f64 (sqrt.f64 (-.f64 0 (*.f64 c a))) a)

Outputs

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

simplify42.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1282×	`associate-/l*`
1168×	`associate-*r/`
970×	`associate-/r*`
726×	`associate-*l/`
710×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	134	1255
1	293	1195
2	1383	1165

Stop Event

1×	node limit

Counts

59 → 81

Calls

Call 1

Inputs
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 c a)))) 1)
(.f64 (sqrt.f64 (.f64 c a)) 1)
(.f64 1 (sqrt.f64 (.f64 c a)))
(*.f64 (sqrt.f64 c) (sqrt.f64 a))
(.f64 (pow.f64 (.f64 c a) 1/4) (pow.f64 (*.f64 c a) 1/4))
(*.f64 (sqrt.f64 a) (sqrt.f64 c))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 c a))) (cbrt.f64 (*.f64 c a)))
(.f64 (cbrt.f64 (.f64 c a)) (cbrt.f64 (sqrt.f64 (*.f64 c a))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 c a)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 c a))))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 c a)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 c a)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 c a)) 1/2))
(/.f64 (.f64 c a) (sqrt.f64 (.f64 c a)))
(/.f64 (sqrt.f64 (pow.f64 (.f64 c a) 3)) (.f64 c a))
(pow.f64 (*.f64 c a) 1/2)
(pow.f64 (sqrt.f64 (*.f64 c a)) 1)
(pow.f64 (pow.f64 (*.f64 c a) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 c a))) 3)
(pow.f64 (pow.f64 (*.f64 c a) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (*.f64 c a)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 c a))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 c a)))))
(cbrt.f64 (pow.f64 (*.f64 c a) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 c a))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 c a))))
(exp.f64 (.f64 (log.f64 (.f64 c a)) 1/2))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 c a))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 c a))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 (*.f64 c a)) a))) 1)
(.f64 (sqrt.f64 (.f64 c a)) (/.f64 1 a))
(.f64 (/.f64 (sqrt.f64 (.f64 c a)) a) 1)
(.f64 1 (/.f64 (sqrt.f64 (.f64 c a)) a))
(.f64 (pow.f64 (.f64 c a) 1/4) (.f64 (pow.f64 (.f64 c a) 1/4) (/.f64 1 a)))
(.f64 (sqrt.f64 (/.f64 (sqrt.f64 (.f64 c a)) a)) (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 c a)) a)))
(.f64 (cbrt.f64 (.f64 c a)) (.f64 (cbrt.f64 (sqrt.f64 (.f64 c a))) (/.f64 1 a)))
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 c a)) a)) (cbrt.f64 (/.f64 (.f64 c a) (.f64 a a))))
(.f64 (cbrt.f64 (/.f64 (.f64 c a) (.f64 a a))) (cbrt.f64 (/.f64 (sqrt.f64 (.f64 c a)) a)))
(.f64 (/.f64 1 a) (sqrt.f64 (.f64 c a)))
(.f64 (neg.f64 (sqrt.f64 (.f64 c a))) (/.f64 1 (neg.f64 a)))
(.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 a)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 (sqrt.f64 (.f64 c a)) (cbrt.f64 a)))
(.f64 (/.f64 (pow.f64 (.f64 c a) 1/4) 1) (/.f64 (pow.f64 (*.f64 c a) 1/4) a))
(.f64 (/.f64 (pow.f64 (.f64 c a) 1/4) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (pow.f64 (*.f64 c a) 1/4) (cbrt.f64 a)))
(.f64 (/.f64 (cbrt.f64 (.f64 c a)) 1) (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 c a))) a))
(.f64 (/.f64 (cbrt.f64 (.f64 c a)) (sqrt.f64 a)) (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 c a))) (sqrt.f64 a)))
(.f64 (/.f64 (cbrt.f64 (.f64 c a)) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 c a)) a)))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 c a)) a) 1)
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 c a)) a)) 2)
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 c a)) a)) 3)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 c a)) a) 3) 1/3)
(pow.f64 (/.f64 a (sqrt.f64 (*.f64 c a))) -1)
(neg.f64 (/.f64 (sqrt.f64 (*.f64 c a)) (neg.f64 a)))
(sqrt.f64 (/.f64 (.f64 c a) (.f64 a a)))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 (*.f64 c a)) a)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (*.f64 c a)) a))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 c a)) a) 3))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (*.f64 c a)) a)))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 c a)) a)))
(exp.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 (.f64 c a)) a)) 1))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (*.f64 c a)) a)))

Outputs
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 c a)))) 1)
(sqrt.f64 (*.f64 c a))
(.f64 (sqrt.f64 (.f64 c a)) 1)
(sqrt.f64 (*.f64 c a))
(.f64 1 (sqrt.f64 (.f64 c a)))
(sqrt.f64 (*.f64 c a))
(*.f64 (sqrt.f64 c) (sqrt.f64 a))
(.f64 (pow.f64 (.f64 c a) 1/4) (pow.f64 (*.f64 c a) 1/4))
(sqrt.f64 (*.f64 c a))
(*.f64 (sqrt.f64 a) (sqrt.f64 c))
(*.f64 (sqrt.f64 c) (sqrt.f64 a))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 c a))) (cbrt.f64 (*.f64 c a)))
(.f64 (cbrt.f64 (.f64 c a)) (cbrt.f64 (sqrt.f64 (*.f64 c a))))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 c a))) (cbrt.f64 (*.f64 c a)))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 c a)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 c a))))
(.f64 (fabs.f64 (cbrt.f64 (.f64 c a))) (sqrt.f64 (cbrt.f64 (*.f64 c a))))
(.f64 (cbrt.f64 (.f64 c a)) (sqrt.f64 (cbrt.f64 (*.f64 c a))))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 c a)))
(sqrt.f64 (*.f64 c a))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 c a)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 c a)) 1/2))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 c a)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 c a))))
(.f64 (fabs.f64 (cbrt.f64 (.f64 c a))) (sqrt.f64 (cbrt.f64 (*.f64 c a))))
(.f64 (cbrt.f64 (.f64 c a)) (sqrt.f64 (cbrt.f64 (*.f64 c a))))
(/.f64 (.f64 c a) (sqrt.f64 (.f64 c a)))
(/.f64 c (/.f64 (sqrt.f64 (*.f64 c a)) a))
(.f64 (/.f64 c (sqrt.f64 (.f64 c a))) a)
(/.f64 (sqrt.f64 (pow.f64 (.f64 c a) 3)) (.f64 c a))
(/.f64 (pow.f64 (.f64 c a) 3/2) (.f64 c a))
(pow.f64 (*.f64 c a) 1/2)
(sqrt.f64 (*.f64 c a))
(pow.f64 (sqrt.f64 (*.f64 c a)) 1)
(sqrt.f64 (*.f64 c a))
(pow.f64 (pow.f64 (*.f64 c a) 1/4) 2)
(sqrt.f64 (*.f64 c a))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 c a))) 3)
(sqrt.f64 (*.f64 c a))
(pow.f64 (pow.f64 (*.f64 c a) 3/2) 1/3)
(cbrt.f64 (pow.f64 (*.f64 c a) 3/2))
(fabs.f64 (sqrt.f64 (*.f64 c a)))
(sqrt.f64 (*.f64 c a))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 c a))))
(sqrt.f64 (*.f64 c a))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 c a)))))
(sqrt.f64 (*.f64 c a))
(cbrt.f64 (pow.f64 (*.f64 c a) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 c a))))
(sqrt.f64 (*.f64 c a))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 c a))))
(sqrt.f64 (*.f64 c a))
(exp.f64 (.f64 (log.f64 (.f64 c a)) 1/2))
(sqrt.f64 (*.f64 c a))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 c a))) 1))
(sqrt.f64 (*.f64 c a))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 c a))))
(sqrt.f64 (*.f64 c a))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 (*.f64 c a)) a))) 1)
(/.f64 (sqrt.f64 (*.f64 c a)) a)
(.f64 (sqrt.f64 (.f64 c a)) (/.f64 1 a))
(/.f64 (sqrt.f64 (*.f64 c a)) a)
(.f64 (/.f64 (sqrt.f64 (.f64 c a)) a) 1)
(/.f64 (sqrt.f64 (*.f64 c a)) a)
(.f64 1 (/.f64 (sqrt.f64 (.f64 c a)) a))
(/.f64 (sqrt.f64 (*.f64 c a)) a)
(.f64 (pow.f64 (.f64 c a) 1/4) (.f64 (pow.f64 (.f64 c a) 1/4) (/.f64 1 a)))
(/.f64 (sqrt.f64 (*.f64 c a)) a)
(.f64 (sqrt.f64 (/.f64 (sqrt.f64 (.f64 c a)) a)) (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 c a)) a)))
(/.f64 (sqrt.f64 (*.f64 c a)) a)
(.f64 (cbrt.f64 (.f64 c a)) (.f64 (cbrt.f64 (sqrt.f64 (.f64 c a))) (/.f64 1 a)))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 c a))) (cbrt.f64 (.f64 c a))) (/.f64 1 a))
(.f64 (cbrt.f64 (.f64 c a)) (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 c a))) a))
(.f64 (/.f64 (cbrt.f64 (.f64 c a)) a) (cbrt.f64 (sqrt.f64 (*.f64 c a))))
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 c a)) a)) (cbrt.f64 (/.f64 (.f64 c a) (.f64 a a))))
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 c a)) a)) (cbrt.f64 (*.f64 (/.f64 c a) (/.f64 a a))))
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 c a)) a)) (cbrt.f64 (/.f64 c (/.f64 a 1))))
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 c a)) a)) (cbrt.f64 (/.f64 c a)))
(.f64 (cbrt.f64 (/.f64 (.f64 c a) (.f64 a a))) (cbrt.f64 (/.f64 (sqrt.f64 (.f64 c a)) a)))
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 c a)) a)) (cbrt.f64 (*.f64 (/.f64 c a) (/.f64 a a))))
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 c a)) a)) (cbrt.f64 (/.f64 c (/.f64 a 1))))
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 c a)) a)) (cbrt.f64 (/.f64 c a)))
(.f64 (/.f64 1 a) (sqrt.f64 (.f64 c a)))
(/.f64 (sqrt.f64 (*.f64 c a)) a)
(.f64 (neg.f64 (sqrt.f64 (.f64 c a))) (/.f64 1 (neg.f64 a)))
(/.f64 (sqrt.f64 (*.f64 c a)) a)
(.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 a)))
(/.f64 (/.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 a)) (sqrt.f64 a))
(/.f64 (sqrt.f64 (.f64 c a)) (.f64 (sqrt.f64 a) (sqrt.f64 a)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 (sqrt.f64 (.f64 c a)) (cbrt.f64 a)))
(/.f64 (/.f64 (sqrt.f64 (*.f64 c a)) (cbrt.f64 a)) (pow.f64 (cbrt.f64 a) 2))
(/.f64 (sqrt.f64 (.f64 c a)) (.f64 (cbrt.f64 a) (pow.f64 (cbrt.f64 a) 2)))
(.f64 (/.f64 (pow.f64 (.f64 c a) 1/4) 1) (/.f64 (pow.f64 (*.f64 c a) 1/4) a))
(/.f64 (sqrt.f64 (*.f64 c a)) a)
(.f64 (/.f64 (pow.f64 (.f64 c a) 1/4) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (pow.f64 (*.f64 c a) 1/4) (cbrt.f64 a)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 (sqrt.f64 (.f64 c a)) (cbrt.f64 a)))
(/.f64 (/.f64 (sqrt.f64 (*.f64 c a)) (cbrt.f64 a)) (pow.f64 (cbrt.f64 a) 2))
(/.f64 (sqrt.f64 (.f64 c a)) (.f64 (cbrt.f64 a) (pow.f64 (cbrt.f64 a) 2)))
(.f64 (/.f64 (cbrt.f64 (.f64 c a)) 1) (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 c a))) a))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 c a))) (cbrt.f64 (.f64 c a))) (/.f64 1 a))
(.f64 (cbrt.f64 (.f64 c a)) (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 c a))) a))
(.f64 (/.f64 (cbrt.f64 (.f64 c a)) a) (cbrt.f64 (sqrt.f64 (*.f64 c a))))
(.f64 (/.f64 (cbrt.f64 (.f64 c a)) (sqrt.f64 a)) (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 c a))) (sqrt.f64 a)))
(/.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 c a))) (/.f64 (cbrt.f64 (*.f64 c a)) (sqrt.f64 a))) (sqrt.f64 a))
(.f64 (/.f64 (cbrt.f64 (.f64 c a)) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 c a)) a)))
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 c a)) a)) (/.f64 (cbrt.f64 (*.f64 c a)) (pow.f64 (cbrt.f64 a) 2)))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 c a)) a) 1)
(/.f64 (sqrt.f64 (*.f64 c a)) a)
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 c a)) a)) 2)
(/.f64 (sqrt.f64 (*.f64 c a)) a)
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 c a)) a)) 3)
(/.f64 (sqrt.f64 (*.f64 c a)) a)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 c a)) a) 3) 1/3)
(/.f64 (sqrt.f64 (*.f64 c a)) a)
(pow.f64 (/.f64 a (sqrt.f64 (*.f64 c a))) -1)
(/.f64 (sqrt.f64 (*.f64 c a)) a)
(neg.f64 (/.f64 (sqrt.f64 (*.f64 c a)) (neg.f64 a)))
(/.f64 (sqrt.f64 (*.f64 c a)) a)
(sqrt.f64 (/.f64 (.f64 c a) (.f64 a a)))
(sqrt.f64 (*.f64 (/.f64 c a) (/.f64 a a)))
(sqrt.f64 (/.f64 c (/.f64 a 1)))
(sqrt.f64 (/.f64 c a))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 (*.f64 c a)) a)))
(/.f64 (sqrt.f64 (*.f64 c a)) a)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (*.f64 c a)) a))))
(/.f64 (sqrt.f64 (*.f64 c a)) a)
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 c a)) a) 3))
(/.f64 (sqrt.f64 (*.f64 c a)) a)
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (*.f64 c a)) a)))
(/.f64 (sqrt.f64 (*.f64 c a)) a)
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 c a)) a)))
(/.f64 (sqrt.f64 (*.f64 c a)) a)
(exp.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 (.f64 c a)) a)) 1))
(/.f64 (sqrt.f64 (*.f64 c a)) a)
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (*.f64 c a)) a)))
(/.f64 (sqrt.f64 (*.f64 c a)) a)

localize29.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (/.f64 1 a) (-.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)) 3/2)) b_2))
	1.2b	(-.f64 (.f64 b_2 b_2) (.f64 c a))
✓	1.2b	(-.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3/2)) b_2)
✓	32.2b	(cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3/2))

Compiler

Compiled 71 to 26 computations (63.4% saved)

series6.0ms (0%)

Counts

3 → 60

Calls

27 calls:

Time	Variable		Point	Expression
0.0ms	b_2	@	0	(cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3/2))
0.0ms	a	@	-inf	(.f64 (/.f64 1 a) (-.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)) 3/2)) b_2))
0.0ms	c	@	-inf	(cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3/2))
0.0ms	c	@	inf	(.f64 (/.f64 1 a) (-.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)) 3/2)) b_2))
0.0ms	a	@	inf	(.f64 (/.f64 1 a) (-.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)) 3/2)) b_2))

rewrite119.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1916×	`associate-*l/`
742×	`associate-/r*`
630×	`associate-+l+`
360×	`add-sqr-sqrt`
344×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	105
1	348	87
2	4736	87

Stop Event

1×	node limit

Counts

3 → 239

Calls

Call 1

Inputs

(cbrt.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a)) 3/2))

(-.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a)) 3/2)) b_2)

(*.f64 (/.f64 1 a) (-.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a)) 3/2)) b_2))

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (neg.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (*.f64 (neg.f64 b_2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (+.f64 (neg.f64 b_2) (fma.f64 (neg.f64 b_2) 1 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (+.f64 (*.f64 (neg.f64 b_2) 1) (fma.f64 (neg.f64 b_2) 1 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (+.f64 (neg.f64 b_2) (fma.f64 (neg.f64 (sqrt.f64 b_2)) (sqrt.f64 b_2) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (+.f64 (*.f64 (neg.f64 b_2) 1) (fma.f64 (neg.f64 (sqrt.f64 b_2)) (sqrt.f64 b_2) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (+.f64 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simplify188.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1186×	`times-frac`
828×	`associate-r`
714×	`associate-/r*`
686×	`associate-/l/`
684×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	727	19691
1	2014	19225

Stop Event

1×	node limit

Counts

299 → 433

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 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 b_2))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 -1 b_2) (.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 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 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 c 4) (pow.f64 a 4))) (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2)) (pow.f64 b_2 7))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (*.f64 c a) b_2)))))
(*.f64 -2 b_2)
(+.f64 (.f64 -2 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(+.f64 (.f64 -2 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 c a) b_2))))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -2 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 4) (+.f64 (.f64 1/16 (/.f64 (pow.f64 a 4) (pow.f64 b_2 6))) (pow.f64 (.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 b_2 3))) 2))) b_2)) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 (.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 3))) 2) (.f64 1/16 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)))) (pow.f64 a 4)) b_2)) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))))
(*.f64 -1/2 (/.f64 c b_2))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2))))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 (.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 3))) 2) (.f64 1/16 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)))) (pow.f64 a 3)) b_2)) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2)))))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (.f64 -1 (/.f64 b_2 a)))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (+.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 b_2 a))))
(+.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 (/.f64 b_2 a)))))
(*.f64 -1/2 (/.f64 c b_2))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2))))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 c 4) (pow.f64 a 4))) (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2)) (.f64 a (pow.f64 b_2 7)))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2)))))
(*.f64 -2 (/.f64 b_2 a))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 c b_2))))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (.f64 1/2 (/.f64 c b_2)))))
(*.f64 -1/2 (/.f64 c b_2))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 4) (+.f64 (.f64 1/16 (/.f64 (pow.f64 a 4) (pow.f64 b_2 6))) (pow.f64 (.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 b_2 3))) 2))) (.f64 a b_2))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (.f64 -1/2 (/.f64 c b_2)))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))) 1)
(.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))) 1)
(.f64 1 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))))
(.f64 (sqrt.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (sqrt.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)))))
(.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (cbrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))))
(.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)))))
(.f64 (pow.f64 1 1/3) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))))
(.f64 (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3/4) 1/3) (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)) 3/4) 1/3))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 6) (pow.f64 (.f64 c a) 3))) (sqrt.f64 (+.f64 (pow.f64 b_2 4) (.f64 (.f64 c a) (fma.f64 b_2 b_2 (.f64 c a))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 4) (pow.f64 (.f64 c a) 2))) (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c a))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 6) (pow.f64 (.f64 c a) 3))) 1) (sqrt.f64 (+.f64 (pow.f64 b_2 4) (.f64 (.f64 c a) (fma.f64 b_2 b_2 (*.f64 c a))))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 4) (pow.f64 (.f64 c a) 2))) 1) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c a))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 b_2 6) (pow.f64 (.f64 c a) 3))) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))) (cbrt.f64 (+.f64 (pow.f64 b_2 4) (.f64 (.f64 c a) (fma.f64 b_2 b_2 (*.f64 c a))))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 b_2 4) (pow.f64 (.f64 c a) 2))) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))) (cbrt.f64 (fma.f64 b_2 b_2 (*.f64 c a))))
(pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/2)
(pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3/2) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) 1)
(pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) 3)
(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))
(fabs.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))))
(exp.f64 (.f64 (.f64 3/2 (log.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))))
(+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) (neg.f64 b_2))
(+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) (*.f64 (neg.f64 b_2) 1))
(+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) (+.f64 (neg.f64 b_2) (fma.f64 (neg.f64 b_2) 1 b_2)))
(+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) (+.f64 (*.f64 (neg.f64 b_2) 1) (fma.f64 (neg.f64 b_2) 1 b_2)))
(+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) (+.f64 (neg.f64 b_2) (fma.f64 (neg.f64 (sqrt.f64 b_2)) (sqrt.f64 b_2) b_2)))
(+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) (+.f64 (*.f64 (neg.f64 b_2) 1) (fma.f64 (neg.f64 (sqrt.f64 b_2)) (sqrt.f64 b_2) b_2)))
(+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) (+.f64 (neg.f64 b_2) (fma.f64 (neg.f64 (cbrt.f64 b_2)) (pow.f64 (cbrt.f64 b_2) 2) b_2)))
(+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) (+.f64 (*.f64 (neg.f64 b_2) 1) (fma.f64 (neg.f64 (cbrt.f64 b_2)) (pow.f64 (cbrt.f64 b_2) 2) b_2)))
(+.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) (fma.f64 (neg.f64 b_2) 1 b_2))
(+.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) (fma.f64 (neg.f64 (sqrt.f64 b_2)) (sqrt.f64 b_2) b_2))
(+.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) (fma.f64 (neg.f64 (cbrt.f64 b_2)) (pow.f64 (cbrt.f64 b_2) 2) b_2))
(+.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) (+.f64 (fma.f64 (neg.f64 b_2) 1 b_2) (fma.f64 (neg.f64 b_2) 1 b_2)))
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(/.f64 (/.f64 (neg.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2)) (neg.f64 (sqrt.f64 a))) (sqrt.f64 a))
(/.f64 (/.f64 (neg.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2)) (neg.f64 (pow.f64 (cbrt.f64 a) 2))) (cbrt.f64 a))
(pow.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a) 1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a) 3) 1/3)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a) 3))
(cbrt.f64 (.f64 (pow.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))) b_2) 3) (/.f64 (pow.f64 a -2) a)))
(cbrt.f64 (.f64 (/.f64 (pow.f64 a -2) a) (pow.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))) b_2) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)))
(exp.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)))
(exp.f64 (.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))) b_2) a)) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)))

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)))))
(+.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 (pow.f64 (.f64 c 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))))))
(+.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 (pow.f64 (.f64 c 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)))))))
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))))
(+.f64 b_2 (.f64 -1/2 (.f64 (/.f64 c b_2) a)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (+.f64 b_2 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))))
(fma.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) (+.f64 b_2 (.f64 -1/2 (*.f64 (/.f64 c b_2) a))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))))
(fma.f64 -1/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 5)) (fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (+.f64 b_2 (.f64 -1/2 (/.f64 c (/.f64 b_2 a))))))
(fma.f64 -1/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 5)) (fma.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) (+.f64 b_2 (.f64 -1/2 (.f64 (/.f64 c b_2) a)))))
(*.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 (/.f64 c b_2) a)) b_2)
(+.f64 (.f64 -1 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 c a) b_2))))
(fma.f64 -1 b_2 (fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (*.f64 1/2 (/.f64 c (/.f64 b_2 a)))))
(-.f64 (fma.f64 1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) (.f64 1/2 (*.f64 (/.f64 c b_2) a))) b_2)
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))))
(fma.f64 1/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 5)) (fma.f64 -1 b_2 (fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (.f64 1/2 (/.f64 c (/.f64 b_2 a))))))
(fma.f64 1/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 5)) (-.f64 (fma.f64 1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) (.f64 1/2 (.f64 (/.f64 c b_2) a))) b_2))
b_2
(+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 b_2 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))))
(+.f64 b_2 (.f64 -1/2 (.f64 (/.f64 c b_2) a)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (+.f64 b_2 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))))
(fma.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) (+.f64 b_2 (.f64 -1/2 (*.f64 (/.f64 c b_2) a))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))))
(fma.f64 -1/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 5)) (fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (+.f64 b_2 (.f64 -1/2 (/.f64 c (/.f64 b_2 a))))))
(fma.f64 -1/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 5)) (fma.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) (+.f64 b_2 (.f64 -1/2 (.f64 (/.f64 c b_2) a)))))
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))))
(+.f64 b_2 (.f64 -1/2 (.f64 (/.f64 c b_2) a)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (+.f64 b_2 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))))
(fma.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) (+.f64 b_2 (.f64 -1/2 (*.f64 (/.f64 c b_2) a))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))))
(fma.f64 -1/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 5)) (fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (+.f64 b_2 (.f64 -1/2 (/.f64 c (/.f64 b_2 a))))))
(fma.f64 -1/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 5)) (fma.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) (+.f64 b_2 (.f64 -1/2 (.f64 (/.f64 c b_2) a)))))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 b_2))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) (neg.f64 b_2))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 -1 b_2) (.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 b_2 (.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) (-.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1)))) b_2))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 -1 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 1/2 (.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 b_2 (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 c 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) (-.f64 (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 c 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))))) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(.f64 -1/2 (.f64 (/.f64 c b_2) a))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))))
(fma.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) (.f64 -1/2 (*.f64 (/.f64 c b_2) a)))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(fma.f64 -1/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 5)) (fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (.f64 -1/2 (/.f64 c (/.f64 b_2 a)))))
(fma.f64 -1/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 5)) (fma.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) (.f64 -1/2 (.f64 (/.f64 c b_2) a))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 c 4) (pow.f64 a 4))) (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2)) (pow.f64 b_2 7))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (*.f64 c a) b_2)))))
(fma.f64 -1/2 (/.f64 (fma.f64 1/16 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 (.f64 -1/8 (.f64 (.f64 c c) (.f64 a a))) 2)) (pow.f64 b_2 7)) (fma.f64 -1/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 5)) (fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))))))
(fma.f64 -1/2 (/.f64 (fma.f64 1/16 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 1/64)) (pow.f64 b_2 7)) (fma.f64 -1/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 5)) (fma.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) (.f64 -1/2 (*.f64 (/.f64 c b_2) a)))))
(*.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 -2 b_2 (.f64 1/2 (.f64 (/.f64 c b_2) a)))
(+.f64 (.f64 -2 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 c a) b_2))))
(fma.f64 -2 b_2 (fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (*.f64 1/2 (/.f64 c (/.f64 b_2 a)))))
(fma.f64 -2 b_2 (fma.f64 1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) (.f64 1/2 (*.f64 (/.f64 c b_2) a))))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -2 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))))
(fma.f64 1/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 5)) (fma.f64 -2 b_2 (fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (.f64 1/2 (/.f64 c (/.f64 b_2 a))))))
(fma.f64 1/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 5)) (fma.f64 -2 b_2 (fma.f64 1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) (.f64 1/2 (.f64 (/.f64 c b_2) a)))))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(.f64 -1/2 (.f64 (/.f64 c b_2) a))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))))
(fma.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) (.f64 -1/2 (*.f64 (/.f64 c b_2) a)))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(fma.f64 -1/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 5)) (fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (.f64 -1/2 (/.f64 c (/.f64 b_2 a)))))
(fma.f64 -1/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 5)) (fma.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) (.f64 -1/2 (.f64 (/.f64 c b_2) a))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 4) (+.f64 (.f64 1/16 (/.f64 (pow.f64 a 4) (pow.f64 b_2 6))) (pow.f64 (.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 b_2 3))) 2))) b_2)) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))))
(fma.f64 -1/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 5)) (fma.f64 -1/2 (/.f64 (pow.f64 c 4) (/.f64 b_2 (fma.f64 1/16 (/.f64 (pow.f64 a 4) (pow.f64 b_2 6)) (pow.f64 (.f64 -1/8 (/.f64 (.f64 a a) (pow.f64 b_2 3))) 2)))) (fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (.f64 -1/2 (/.f64 c (/.f64 b_2 a))))))
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(/.f64 (/.f64 (.f64 (-.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3/2) (pow.f64 b_2 3)) (/.f64 1 a)) (.f64 (cbrt.f64 (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 b_2 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))))) (cbrt.f64 (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 b_2 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))))))) (cbrt.f64 (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 b_2 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))))))))
(/.f64 (/.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3/2) (pow.f64 b_2 3)) a) (cbrt.f64 (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 b_2 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))))))) (cbrt.f64 (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 b_2 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))))))) (cbrt.f64 (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 b_2 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))))))))
(/.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3/2) (pow.f64 b_2 3)) a) (cbrt.f64 (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 b_2 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))))))) (.f64 (cbrt.f64 (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 b_2 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))))) (cbrt.f64 (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 b_2 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))))))))
(/.f64 (/.f64 (.f64 -1 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))) b_2)) 1) (neg.f64 a))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(/.f64 (/.f64 (.f64 -1 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))) b_2)) (sqrt.f64 a)) (neg.f64 (sqrt.f64 a)))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) (*.f64 (sqrt.f64 a) (sqrt.f64 a)))
(/.f64 (/.f64 (.f64 -1 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))) b_2)) (pow.f64 (cbrt.f64 a) 2)) (neg.f64 (cbrt.f64 a)))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) (*.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a)))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) (*.f64 (cbrt.f64 a) (pow.f64 (cbrt.f64 a) 2)))
(/.f64 (/.f64 (.f64 -1 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))) b_2)) -1) a)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(/.f64 (/.f64 (.f64 -1 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))) b_2)) (sqrt.f64 (neg.f64 a))) (sqrt.f64 (neg.f64 a)))
(/.f64 (neg.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2)) (*.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 (neg.f64 a))))
(/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (*.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 (neg.f64 a))))
(/.f64 (/.f64 (.f64 -1 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2)) (.f64 (cbrt.f64 (neg.f64 a)) (cbrt.f64 (neg.f64 a)))) (cbrt.f64 (neg.f64 a)))
(/.f64 (neg.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2)) (.f64 (cbrt.f64 (neg.f64 a)) (.f64 (cbrt.f64 (neg.f64 a)) (cbrt.f64 (neg.f64 a)))))
(/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (.f64 (cbrt.f64 (neg.f64 a)) (.f64 (cbrt.f64 (neg.f64 a)) (cbrt.f64 (neg.f64 a)))))
(/.f64 (/.f64 (.f64 -1 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))) b_2)) (neg.f64 (sqrt.f64 a))) (sqrt.f64 a))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) (*.f64 (sqrt.f64 a) (sqrt.f64 a)))
(/.f64 (/.f64 (.f64 -1 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))) b_2)) (neg.f64 (pow.f64 (cbrt.f64 a) 2))) (cbrt.f64 a))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) (*.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a)))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) (*.f64 (cbrt.f64 a) (pow.f64 (cbrt.f64 a) 2)))
(/.f64 (/.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) 1) 1) a)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(/.f64 (/.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) (sqrt.f64 a)) 1) (sqrt.f64 a))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) (*.f64 (sqrt.f64 a) (sqrt.f64 a)))
(/.f64 (/.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) (sqrt.f64 a)) (cbrt.f64 a)) (cbrt.f64 (sqrt.f64 a)))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) (sqrt.f64 a)) (*.f64 (cbrt.f64 (sqrt.f64 a)) (cbrt.f64 a)))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) (.f64 (.f64 (cbrt.f64 a) (cbrt.f64 (sqrt.f64 a))) (sqrt.f64 a)))
(/.f64 (/.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) (sqrt.f64 a)) (sqrt.f64 (pow.f64 (cbrt.f64 a) 2))) (sqrt.f64 (cbrt.f64 a)))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) (sqrt.f64 a)) (*.f64 (sqrt.f64 (cbrt.f64 a)) (sqrt.f64 (pow.f64 (cbrt.f64 a) 2))))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) (sqrt.f64 a)) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 a) 2)) (sqrt.f64 (cbrt.f64 a))))
(/.f64 (/.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) (sqrt.f64 a)) (sqrt.f64 (sqrt.f64 a))) (sqrt.f64 (sqrt.f64 a)))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) (sqrt.f64 a)) (*.f64 (sqrt.f64 (sqrt.f64 a)) (sqrt.f64 (sqrt.f64 a))))
(/.f64 (/.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) (pow.f64 (cbrt.f64 a) 2)) 1) (cbrt.f64 a))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) (*.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a)))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) (*.f64 (cbrt.f64 a) (pow.f64 (cbrt.f64 a) 2)))
(/.f64 (/.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) (pow.f64 (cbrt.f64 a) 2)) (sqrt.f64 (cbrt.f64 a))) (sqrt.f64 (cbrt.f64 a)))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) (pow.f64 (cbrt.f64 a) 2)) (*.f64 (sqrt.f64 (cbrt.f64 a)) (sqrt.f64 (cbrt.f64 a))))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) (.f64 (.f64 (sqrt.f64 (cbrt.f64 a)) (sqrt.f64 (cbrt.f64 a))) (pow.f64 (cbrt.f64 a) 2)))
(/.f64 (/.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) (pow.f64 (cbrt.f64 a) 2)) (*.f64 (cbrt.f64 (cbrt.f64 a)) (cbrt.f64 (cbrt.f64 a)))) (cbrt.f64 (cbrt.f64 a)))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) (pow.f64 (cbrt.f64 a) 2)) (.f64 (cbrt.f64 (cbrt.f64 a)) (.f64 (cbrt.f64 (cbrt.f64 a)) (cbrt.f64 (cbrt.f64 a)))))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) (.f64 (cbrt.f64 (cbrt.f64 a)) (.f64 (cbrt.f64 (cbrt.f64 a)) (*.f64 (cbrt.f64 (cbrt.f64 a)) (pow.f64 (cbrt.f64 a) 2)))))
(/.f64 (/.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 a) 2))) (cbrt.f64 (cbrt.f64 a)))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) (pow.f64 (cbrt.f64 a) 2)) (*.f64 (cbrt.f64 (cbrt.f64 a)) (cbrt.f64 (pow.f64 (cbrt.f64 a) 2))))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) (.f64 (.f64 (cbrt.f64 (cbrt.f64 a)) (cbrt.f64 (pow.f64 (cbrt.f64 a) 2))) (pow.f64 (cbrt.f64 a) 2)))
(/.f64 (/.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 (sqrt.f64 a))) (cbrt.f64 (sqrt.f64 a)))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) (pow.f64 (cbrt.f64 a) 2)) (*.f64 (cbrt.f64 (sqrt.f64 a)) (cbrt.f64 (sqrt.f64 a))))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) (.f64 (.f64 (cbrt.f64 (sqrt.f64 a)) (cbrt.f64 (sqrt.f64 a))) (pow.f64 (cbrt.f64 a) 2)))
(/.f64 (/.f64 (neg.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2)) 1) (neg.f64 a))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(/.f64 (/.f64 (neg.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2)) (sqrt.f64 a)) (neg.f64 (sqrt.f64 a)))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) (*.f64 (sqrt.f64 a) (sqrt.f64 a)))
(/.f64 (/.f64 (neg.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2)) (pow.f64 (cbrt.f64 a) 2)) (neg.f64 (cbrt.f64 a)))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) (*.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a)))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) (*.f64 (cbrt.f64 a) (pow.f64 (cbrt.f64 a) 2)))
(/.f64 (/.f64 (neg.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2)) -1) a)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(/.f64 (/.f64 (neg.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2)) (sqrt.f64 (neg.f64 a))) (sqrt.f64 (neg.f64 a)))
(/.f64 (neg.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2)) (*.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 (neg.f64 a))))
(/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (*.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 (neg.f64 a))))
(/.f64 (/.f64 (neg.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2)) (*.f64 (cbrt.f64 (neg.f64 a)) (cbrt.f64 (neg.f64 a)))) (cbrt.f64 (neg.f64 a)))
(/.f64 (neg.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2)) (.f64 (cbrt.f64 (neg.f64 a)) (.f64 (cbrt.f64 (neg.f64 a)) (cbrt.f64 (neg.f64 a)))))
(/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (.f64 (cbrt.f64 (neg.f64 a)) (.f64 (cbrt.f64 (neg.f64 a)) (cbrt.f64 (neg.f64 a)))))
(/.f64 (/.f64 (neg.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2)) (neg.f64 (sqrt.f64 a))) (sqrt.f64 a))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) (*.f64 (sqrt.f64 a) (sqrt.f64 a)))
(/.f64 (/.f64 (neg.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2)) (neg.f64 (pow.f64 (cbrt.f64 a) 2))) (cbrt.f64 a))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) (*.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a)))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) (*.f64 (cbrt.f64 a) (pow.f64 (cbrt.f64 a) 2)))
(pow.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a) 1)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)) 3)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(pow.f64 (pow.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a) 3) 1/3)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a))))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a) 3))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(cbrt.f64 (.f64 (pow.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))) b_2) 3) (/.f64 (pow.f64 a -2) a)))
(cbrt.f64 (.f64 (/.f64 (pow.f64 a -2) a) (pow.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))) b_2) 3)))
(cbrt.f64 (.f64 (pow.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))) b_2) 3) (/.f64 (pow.f64 a -2) a)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(exp.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(exp.f64 (.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))) b_2) a)) 1))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)

eval579.0ms (3.8%)

Compiler: Compiled 46293 to 15960 computations (65.5% saved)

prune533.0ms (3.5%)

Pruning

45 alts after pruning (36 fresh and 9 done)

	Pruned	Kept	Total
New	1639	28	1667
Fresh	9	8	17
Picked	0	1	1
Done	1	8	9
Total	1649	45	1694

Error

6.2b

Counts

1694 → 45

Alt Table

Click to see full alt table

Status	Error	Program
	49.7b	(pow.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 c b_2))) 2)
	45.1b	(pow.f64 (cbrt.f64 (.f64 (/.f64 c a) (/.f64 (.f64 a -1/2) b_2))) 3)
	44.4b	(/.f64 (pow.f64 (cbrt.f64 a) 2) (/.f64 (*.f64 (/.f64 a c) (/.f64 b_2 -1/2)) (cbrt.f64 a)))
	63.1b	(/.f64 (/.f64 (-.f64 0 (.f64 c a)) (+.f64 b_2 (+.f64 (.f64 -1 b_2) (.f64 1/2 (/.f64 (.f64 c a) b_2))))) a)
	43.0b	(/.f64 (/.f64 (-.f64 0 (.f64 c a)) (+.f64 b_2 (+.f64 b_2 (.f64 -1/2 (/.f64 (*.f64 c a) b_2))))) a)
	43.0b	(/.f64 (/.f64 (-.f64 0 (.f64 c a)) (+.f64 b_2 (+.f64 b_2 (.f64 -1/2 (/.f64 c (/.f64 b_2 a)))))) a)
✓	28.0b	(/.f64 (/.f64 (-.f64 0 (.f64 c a)) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))))) a)
▶	28.1b	(/.f64 (/.f64 (-.f64 0 (.f64 c a)) (+.f64 b_2 (sqrt.f64 (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 4 (fma.f64 (neg.f64 a) c (*.f64 c a))))))) a)
	43.3b	(/.f64 (/.f64 (.f64 (.f64 c -1/2) a) b_2) a)
	44.1b	(/.f64 (/.f64 c (pow.f64 (cbrt.f64 a) 2)) (*.f64 (cbrt.f64 a) (/.f64 (/.f64 b_2 a) -1/2)))
✓	33.3b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
	43.8b	(/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)
✓	54.0b	(/.f64 (-.f64 b_2 b_2) a)
	45.3b	(/.f64 (+.f64 (fma.f64 b_2 1 b_2) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))) a)
	48.8b	(/.f64 (+.f64 (.f64 -2 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2))) a)
	45.3b	(/.f64 (+.f64 b_2 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) (*.f64 2 (fma.f64 b_2 1 b_2)))) a)
▶	45.0b	(/.f64 (.f64 (/.f64 1 a) (.f64 c -1/2)) (/.f64 b_2 a))
	43.2b	(/.f64 (.f64 (-.f64 (.f64 b_2 b_2) (+.f64 (.f64 c a) (.f64 (neg.f64 b_2) (neg.f64 b_2)))) (/.f64 1 a)) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) (neg.f64 b_2)))
	43.4b	(/.f64 (.f64 (.f64 c 1/2) (/.f64 a b_2)) (neg.f64 a))
	42.5b	(/.f64 (.f64 c -1/2) (/.f64 (.f64 a b_2) a))
✓	41.6b	(/.f64 (sqrt.f64 (-.f64 0 (*.f64 c a))) a)
	47.6b	(/.f64 b_2 (/.f64 a -2))
	43.8b	(/.f64 a (/.f64 (.f64 a b_2) (.f64 c -1/2)))
	33.4b	(/.f64 1 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2)))
	44.2b	(/.f64 1 (.f64 (/.f64 (.f64 a b_2) (*.f64 c -1/2)) (/.f64 1 a)))
✓	39.8b	(/.f64 -1/2 (/.f64 b_2 c))
	40.0b	(/.f64 -1/2 (*.f64 (cbrt.f64 b_2) (/.f64 (pow.f64 (cbrt.f64 b_2) 2) c)))
	43.4b	(/.f64 -1/2 (.f64 a (/.f64 b_2 (.f64 c a))))
✓	47.8b	(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
	41.8b	(.f64 (/.f64 1 a) (pow.f64 (cbrt.f64 (.f64 (/.f64 c b_2) (*.f64 a -1/2))) 3))
	43.2b	(.f64 (/.f64 1 a) (/.f64 (-.f64 (.f64 b_2 b_2) (+.f64 (.f64 c a) (.f64 b_2 b_2))) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) (neg.f64 b_2))))
✓	33.4b	(.f64 (/.f64 1 a) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2))
▶	43.8b	(.f64 (/.f64 1 a) (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2))
✓	41.1b	(.f64 (/.f64 1 a) (-.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)) 3/2)) b_2))
▶	55.1b	(.f64 (/.f64 1 a) (-.f64 (cbrt.f64 (pow.f64 (.f64 b_2 b_2) 3/2)) b_2))
	52.1b	(.f64 (/.f64 1 a) (.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 -1/2 c) (/.f64 a b_2))) 2) (.f64 (cbrt.f64 (sqrt.f64 (.f64 (.f64 -1/2 c) (/.f64 a b_2)))) (cbrt.f64 (sqrt.f64 (.f64 (*.f64 -1/2 c) (/.f64 a b_2)))))))
	43.3b	(.f64 (/.f64 1 a) (.f64 (/.f64 1 b_2) (.f64 -1/2 (.f64 c a))))
	49.9b	(.f64 (/.f64 1 a) (.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 (/.f64 c b_2) (.f64 a -1/2)))) (cbrt.f64 (.f64 (/.f64 c b_2) (.f64 a -1/2)))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 (/.f64 c b_2) (.f64 a -1/2)))) (cbrt.f64 (.f64 (/.f64 c b_2) (.f64 a -1/2))))))
	47.6b	(.f64 (/.f64 1 a) (.f64 b_2 -2))
	50.2b	(.f64 (/.f64 1 a) (exp.f64 (log.f64 (.f64 (/.f64 c b_2) (*.f64 a -1/2)))))
▶	39.4b	(*.f64 (/.f64 -1/2 b_2) c)
	49.5b	(.f64 (.f64 (/.f64 -1/2 b_2) (sqrt.f64 c)) (sqrt.f64 c))
✓	39.3b	(*.f64 -1/2 (/.f64 c b_2))
	50.2b	(exp.f64 (log.f64 (*.f64 -1/2 (/.f64 c b_2))))
	47.9b	(cbrt.f64 (pow.f64 (*.f64 -1/2 (/.f64 c b_2)) 3))

Compiler

Compiled 1387 to 918 computations (33.8% saved)

localize36.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	2.4b	(/.f64 (/.f64 (-.f64 0 (.f64 c a)) (+.f64 b_2 (sqrt.f64 (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 4 (fma.f64 (neg.f64 a) c (*.f64 c a))))))) a)
✓	10.4b	(/.f64 (-.f64 0 (.f64 c a)) (+.f64 b_2 (sqrt.f64 (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 4 (fma.f64 (neg.f64 a) c (*.f64 c a)))))))
✓	22.4b	(sqrt.f64 (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 4 (fma.f64 (neg.f64 a) c (.f64 c a)))))
✓	52.2b	(fma.f64 (neg.f64 a) c (*.f64 c a))

Compiler

Compiled 153 to 43 computations (71.9% saved)

series47.0ms (0.3%)

Counts

4 → 84

Calls

33 calls:

Time	Variable		Point	Expression
5.0ms	b_2	@	0	(sqrt.f64 (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 4 (fma.f64 (neg.f64 a) c (.f64 c a)))))
4.0ms	c	@	-inf	(/.f64 (-.f64 0 (.f64 c a)) (+.f64 b_2 (sqrt.f64 (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 4 (fma.f64 (neg.f64 a) c (*.f64 c a)))))))
3.0ms	a	@	-inf	(/.f64 (-.f64 0 (.f64 c a)) (+.f64 b_2 (sqrt.f64 (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 4 (fma.f64 (neg.f64 a) c (*.f64 c a)))))))
3.0ms	c	@	inf	(/.f64 (-.f64 0 (.f64 c a)) (+.f64 b_2 (sqrt.f64 (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 4 (fma.f64 (neg.f64 a) c (*.f64 c a)))))))
3.0ms	a	@	inf	(/.f64 (-.f64 0 (.f64 c a)) (+.f64 b_2 (sqrt.f64 (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 4 (fma.f64 (neg.f64 a) c (*.f64 c a)))))))

rewrite181.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

494×	`add-sqr-sqrt`
484×	`*-un-lft-identity`
482×	`pow1`
476×	`+-commutative`
464×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	228
1	480	172
2	7410	172

Stop Event

1×	node limit

Counts

4 → 141

Calls

Call 1

Inputs
(fma.f64 (neg.f64 a) c (*.f64 c a))
(sqrt.f64 (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 4 (fma.f64 (neg.f64 a) c (.f64 c a)))))
(/.f64 (-.f64 0 (.f64 c a)) (+.f64 b_2 (sqrt.f64 (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 4 (fma.f64 (neg.f64 a) c (*.f64 c a)))))))
(/.f64 (/.f64 (-.f64 0 (.f64 c a)) (+.f64 b_2 (sqrt.f64 (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 4 (fma.f64 (neg.f64 a) c (*.f64 c a))))))) a)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 c (+.f64 a a)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 a c) (.f64 a c))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 c (+.f64 a a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 c (+.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 c (+.f64 a a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 c (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 c (+.f64 a a))) (sqrt.f64 (.f64 c (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 c (+.f64 a a))) (pow.f64 (cbrt.f64 (.f64 c (+.f64 a a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 c (+.f64 a a))) 2) (cbrt.f64 (.f64 c (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 a c) 2) (pow.f64 (.f64 a c) 2)) (-.f64 (.f64 a c) (.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 a c) 3) (pow.f64 (.f64 a c) 3)) (+.f64 (pow.f64 (.f64 a c) 2) (-.f64 (pow.f64 (.f64 a c) 2) (pow.f64 (.f64 a c) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 c (+.f64 a a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 c (+.f64 a a))) 2)))) (#(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 (pow.f64 (.f64 c (+.f64 a a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 c (+.f64 a a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (.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 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))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 (.f64 c (+.f64 a a)) 4 (fma.f64 b_2 b_2 (.f64 a c)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 (.f64 c (+.f64 a a)) 4 (fma.f64 b_2 b_2 (.f64 a c)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (fma.f64 (.f64 c (+.f64 a a)) 4 (fma.f64 b_2 b_2 (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 (.f64 c (+.f64 a a)) 4 (fma.f64 b_2 b_2 (.f64 a c))) 1/4) (pow.f64 (fma.f64 (.f64 c (+.f64 a a)) 4 (fma.f64 b_2 b_2 (.f64 a c))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sqrt.f64 (fma.f64 (.f64 c (+.f64 a a)) 4 (fma.f64 b_2 b_2 (.f64 a c))))) (cbrt.f64 (fma.f64 (.f64 c (+.f64 a a)) 4 (fma.f64 b_2 b_2 (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 (.f64 c (+.f64 a a)) 4 (fma.f64 b_2 b_2 (.f64 a c)))) (cbrt.f64 (sqrt.f64 (fma.f64 (.f64 c (+.f64 a a)) 4 (fma.f64 b_2 b_2 (.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 c (+.f64 a a)) 4 (fma.f64 b_2 b_2 (.f64 a c)))) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 (.f64 c (+.f64 a a)) 4 (fma.f64 b_2 b_2 (.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 (.f64 c (+.f64 a a)) 4 (fma.f64 b_2 b_2 (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 c (+.f64 a a)) 4 (fma.f64 b_2 b_2 (.f64 a c)))) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 (.f64 c (+.f64 a a)) 4 (fma.f64 b_2 b_2 (.f64 a c)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 (fma.f64 b_2 b_2 (.f64 a c)) 2) (.f64 (pow.f64 (.f64 c (+.f64 a a)) 2) 16))) (sqrt.f64 (+.f64 (fma.f64 b_2 b_2 (.f64 a c)) (.f64 -4 (.f64 c (+.f64 a a))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 b_2 b_2 (.f64 a c)) 3) (.f64 (pow.f64 (.f64 c (+.f64 a a)) 3) 64))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 b_2 b_2 (.f64 a c)) 2) (.f64 (.f64 (.f64 c (+.f64 a a)) 4) (-.f64 (.f64 (.f64 c (+.f64 a a)) 4) (fma.f64 b_2 b_2 (.f64 a c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (.f64 c (+.f64 a a)) 4 (fma.f64 b_2 b_2 (.f64 a c))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (.f64 c (+.f64 a a)) 4 (fma.f64 b_2 b_2 (.f64 a c)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (.f64 c (+.f64 a a)) 4 (fma.f64 b_2 b_2 (.f64 a c))) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (.f64 c (+.f64 a a)) 4 (fma.f64 b_2 b_2 (.f64 a c))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (.f64 c (+.f64 a a)) 4 (fma.f64 b_2 b_2 (.f64 a c))) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (fma.f64 (.f64 c (+.f64 a a)) 4 (fma.f64 b_2 b_2 (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (fma.f64 (.f64 c (+.f64 a a)) 4 (fma.f64 b_2 b_2 (.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 (.f64 c (+.f64 a a)) 4 (fma.f64 b_2 b_2 (.f64 a c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (.f64 c (+.f64 a a)) 4 (fma.f64 b_2 b_2 (.f64 a c))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 (.f64 c (+.f64 a a)) 4 (fma.f64 b_2 b_2 (.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) (.f64 (sqrt.f64 (.f64 c (+.f64 a a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (.f64 (sqrt.f64 (.f64 c (+.f64 a a))) 2) (hypot.f64 b_2 (sqrt.f64 (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (fma.f64 (.f64 c (+.f64 a a)) 4 (fma.f64 b_2 b_2 (.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 (.f64 c (+.f64 a a)) 4 (fma.f64 b_2 b_2 (.f64 a c)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 (.f64 c (+.f64 a a)) 4 (fma.f64 b_2 b_2 (.f64 a c))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 (.f64 c (+.f64 a a)) 4 (fma.f64 b_2 b_2 (.f64 a c))))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 c (/.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 (.f64 c (+.f64 a a)) 4 (fma.f64 b_2 b_2 (.f64 a c))))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 c (/.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 (.f64 c (+.f64 a a)) 4 (fma.f64 b_2 b_2 (.f64 a c))))) a)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 c (/.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 (.f64 c (+.f64 a a)) 4 (fma.f64 b_2 b_2 (.f64 a c))))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 c (/.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 (.f64 c (+.f64 a a)) 4 (fma.f64 b_2 b_2 (.f64 a c))))) a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 a c) (/.f64 1 (+.f64 b_2 (sqrt.f64 (fma.f64 (.f64 c (+.f64 a a)) 4 (fma.f64 b_2 b_2 (.f64 a c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 a c) (neg.f64 (/.f64 1 (+.f64 b_2 (sqrt.f64 (fma.f64 (.f64 c (+.f64 a a)) 4 (fma.f64 b_2 b_2 (.f64 a c))))))))))) (#(struct:change #<rule 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b_2 b_2 (.f64 a c))))) a))) 2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 (/.f64 (/.f64 (.f64 a c) a) (+.f64 b_2 (sqrt.f64 (fma.f64 (.f64 c (+.f64 a a)) 4 (fma.f64 b_2 b_2 (.f64 a c))))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (.f64 a c) a) (+.f64 b_2 (sqrt.f64 (fma.f64 (.f64 c (+.f64 a a)) 4 (fma.f64 b_2 b_2 (.f64 a c)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (/.f64 (.f64 a c) a) (+.f64 b_2 (sqrt.f64 (fma.f64 (.f64 c (+.f64 a a)) 4 (fma.f64 b_2 b_2 (.f64 a c))))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 (.f64 a c) a) (+.f64 b_2 (sqrt.f64 (fma.f64 (.f64 c (+.f64 a a)) 4 (fma.f64 b_2 b_2 (.f64 a c))))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 (.f64 a c) a) (+.f64 b_2 (sqrt.f64 (fma.f64 (.f64 c (+.f64 a a)) 4 (fma.f64 b_2 b_2 (.f64 a c)))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (/.f64 a (.f64 a c)) (+.f64 b_2 (sqrt.f64 (fma.f64 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simplify109.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1308×	`associate-r`
996×	`associate-l`
832×	`*-commutative`
724×	`associate-/l*`
638×	`associate-*r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	638	4539
1	1933	4539

Stop Event

1×	node limit

Counts

225 → 209

Calls

Call 1

Inputs
(.f64 a (+.f64 c (.f64 -1 c)))
(.f64 a (+.f64 c (.f64 -1 c)))
(.f64 a (+.f64 c (.f64 -1 c)))
(.f64 a (+.f64 c (.f64 -1 c)))
(.f64 a (+.f64 c (.f64 -1 c)))
(.f64 a (+.f64 c (.f64 -1 c)))
(.f64 a (+.f64 c (.f64 -1 c)))
(.f64 a (+.f64 c (.f64 -1 c)))
(.f64 -1 (.f64 a (+.f64 c (*.f64 -1 c))))
(.f64 -1 (.f64 a (+.f64 c (*.f64 -1 c))))
(.f64 -1 (.f64 a (+.f64 c (*.f64 -1 c))))
(.f64 -1 (.f64 a (+.f64 c (*.f64 -1 c))))
(.f64 c (+.f64 a (.f64 -1 a)))
(.f64 c (+.f64 a (.f64 -1 a)))
(.f64 c (+.f64 a (.f64 -1 a)))
(.f64 c (+.f64 a (.f64 -1 a)))
(.f64 c (+.f64 a (.f64 -1 a)))
(.f64 c (+.f64 a (.f64 -1 a)))
(.f64 c (+.f64 a (.f64 -1 a)))
(.f64 c (+.f64 a (.f64 -1 a)))
(.f64 -1 (.f64 c (+.f64 a (*.f64 -1 a))))
(.f64 -1 (.f64 c (+.f64 a (*.f64 -1 a))))
(.f64 -1 (.f64 c (+.f64 a (*.f64 -1 a))))
(.f64 -1 (.f64 c (+.f64 a (*.f64 -1 a))))
(sqrt.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (*.f64 c a)))
(+.f64 (sqrt.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a))) (.f64 1/2 (.f64 (pow.f64 b_2 2) (sqrt.f64 (/.f64 1 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)))))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 b_2 4) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)) 3))))) (+.f64 (sqrt.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a))) (.f64 1/2 (.f64 (pow.f64 b_2 2) (sqrt.f64 (/.f64 1 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (*.f64 c a))))))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 b_2 4) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)) 3))))) (+.f64 (sqrt.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a))) (+.f64 (.f64 1/16 (.f64 (pow.f64 b_2 6) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)) 5))))) (.f64 1/2 (.f64 (pow.f64 b_2 2) (sqrt.f64 (/.f64 1 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)))))))))
b_2
(+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)) b_2)) b_2)
(+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)) b_2)) (+.f64 b_2 (.f64 -1/8 (/.f64 (pow.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)) 2) (pow.f64 b_2 3)))))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)) 3) (pow.f64 b_2 5))) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)) b_2)) (+.f64 b_2 (.f64 -1/8 (/.f64 (pow.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)) 2) (pow.f64 b_2 3))))))
(*.f64 -1 b_2)
(+.f64 (.f64 -1/2 (/.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)) b_2)) (*.f64 -1 b_2))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)) 2) (pow.f64 b_2 3))) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)) b_2)) (*.f64 -1 b_2)))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)) 2) (pow.f64 b_2 3))) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)) b_2)) (+.f64 (.f64 -1 b_2) (.f64 -1/16 (/.f64 (pow.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (*.f64 c a)) 3) (pow.f64 b_2 5))))))
b_2
(+.f64 b_2 (.f64 1/2 (/.f64 (.f64 c (-.f64 (.f64 4 (+.f64 a (.f64 -1 a))) a)) b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 (-.f64 (.f64 4 (+.f64 a (.f64 -1 a))) a) 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 1/2 (/.f64 (.f64 c (-.f64 (.f64 4 (+.f64 a (.f64 -1 a))) a)) b_2))))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 (-.f64 (.f64 4 (+.f64 a (.f64 -1 a))) a) 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 (-.f64 (.f64 4 (+.f64 a (.f64 -1 a))) a) 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 1/2 (/.f64 (.f64 c (-.f64 (.f64 4 (+.f64 a (.f64 -1 a))) a)) b_2)))))
b_2
(+.f64 (.f64 1/2 (/.f64 (.f64 a (-.f64 (.f64 4 (+.f64 c (.f64 -1 c))) c)) b_2)) b_2)
(+.f64 (.f64 1/2 (/.f64 (.f64 a (-.f64 (.f64 4 (+.f64 c (.f64 -1 c))) c)) b_2)) (+.f64 b_2 (.f64 -1/8 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 (-.f64 (.f64 4 (+.f64 c (.f64 -1 c))) c) 2)) (pow.f64 b_2 3)))))
(+.f64 (.f64 1/2 (/.f64 (.f64 a (-.f64 (.f64 4 (+.f64 c (.f64 -1 c))) c)) b_2)) (+.f64 b_2 (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 a 3) (pow.f64 (-.f64 (.f64 4 (+.f64 c (.f64 -1 c))) c) 3)) (pow.f64 b_2 5))) (.f64 -1/8 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 (-.f64 (.f64 4 (+.f64 c (.f64 -1 c))) c) 2)) (pow.f64 b_2 3))))))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (-.f64 (.f64 4 (+.f64 a (.f64 -1 a))) a) a)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (*.f64 c a) b_2)))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (-.f64 (.f64 4 (+.f64 a (.f64 -1 a))) a) a)) (pow.f64 b_2 3))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (-.f64 (.f64 4 (+.f64 a (.f64 -1 a))) a) 2) a)) (pow.f64 b_2 5))) (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(+.f64 (.f64 (+.f64 (.f64 1/128 (/.f64 (.f64 (pow.f64 (-.f64 (.f64 4 (+.f64 a (.f64 -1 a))) a) 3) a) (pow.f64 b_2 7))) (.f64 1/32 (/.f64 (.f64 (pow.f64 (-.f64 (.f64 4 (+.f64 a (.f64 -1 a))) a) 3) a) (pow.f64 b_2 7)))) (pow.f64 c 4)) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (-.f64 (.f64 4 (+.f64 a (.f64 -1 a))) a) a)) (pow.f64 b_2 3))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (-.f64 (.f64 4 (+.f64 a (.f64 -1 a))) a) 2) a)) (pow.f64 b_2 5))) (.f64 -1/2 (/.f64 (*.f64 c a) b_2)))))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(+.f64 (.f64 1/8 (/.f64 (.f64 c (.f64 (pow.f64 a 2) (-.f64 (.f64 4 (+.f64 c (.f64 -1 c))) c))) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (*.f64 c a) b_2)))
(+.f64 (.f64 -1/16 (/.f64 (.f64 c (.f64 (pow.f64 a 3) (pow.f64 (-.f64 (.f64 4 (+.f64 c (.f64 -1 c))) c) 2))) (pow.f64 b_2 5))) (+.f64 (.f64 1/8 (/.f64 (.f64 c (.f64 (pow.f64 a 2) (-.f64 (.f64 4 (+.f64 c (.f64 -1 c))) c))) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 c (.f64 (pow.f64 a 3) (pow.f64 (-.f64 (.f64 4 (+.f64 c (.f64 -1 c))) c) 2))) (pow.f64 b_2 5))) (+.f64 (.f64 (pow.f64 a 4) (+.f64 (.f64 1/128 (/.f64 (.f64 c (pow.f64 (-.f64 (.f64 4 (+.f64 c (.f64 -1 c))) c) 3)) (pow.f64 b_2 7))) (.f64 1/32 (/.f64 (.f64 c (pow.f64 (-.f64 (.f64 4 (+.f64 c (.f64 -1 c))) c) 3)) (pow.f64 b_2 7))))) (+.f64 (.f64 1/8 (/.f64 (.f64 c (.f64 (pow.f64 a 2) (-.f64 (.f64 4 (+.f64 c (.f64 -1 c))) c))) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (*.f64 c a) b_2)))))
(.f64 -1 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a))))))
(+.f64 (.f64 -1 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)))))) (/.f64 (.f64 c (.f64 a b_2)) (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (*.f64 c a))))
(+.f64 (.f64 -1 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)))))) (+.f64 (/.f64 (.f64 c (.f64 a b_2)) (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a))) (.f64 (pow.f64 b_2 2) (+.f64 (.f64 1/2 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)) 3))))) (.f64 -1 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)) 3)))))))))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 c a) (pow.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)) 2))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)))) (+.f64 (.f64 1/2 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)) 3))))) (.f64 -1 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)) 3))))))))) (pow.f64 b_2 3)) (+.f64 (.f64 -1 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)))))) (+.f64 (/.f64 (.f64 c (.f64 a b_2)) (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a))) (.f64 (pow.f64 b_2 2) (+.f64 (.f64 1/2 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)) 3))))) (.f64 -1 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (*.f64 c a)) 3))))))))))
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(pow.f64 (/.f64 c (/.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 (.f64 c (+.f64 a a)) 4 (fma.f64 b_2 b_2 (.f64 a c))))) a)) 1)
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(pow.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 (.f64 c (+.f64 a a)) 4 (fma.f64 b_2 b_2 (.f64 a c))))) (*.f64 a c)) -1)
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(.f64 (.f64 a c) (/.f64 1 (.f64 a (+.f64 b_2 (sqrt.f64 (fma.f64 (.f64 c (+.f64 a a)) 4 (fma.f64 b_2 b_2 (*.f64 a c))))))))
(.f64 (/.f64 c (/.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 (.f64 c (+.f64 a a)) 4 (fma.f64 b_2 b_2 (*.f64 a c))))) a)) (/.f64 1 a))
(.f64 (/.f64 (/.f64 (.f64 a c) a) (+.f64 b_2 (sqrt.f64 (fma.f64 (.f64 c (+.f64 a a)) 4 (fma.f64 b_2 b_2 (.f64 a c)))))) 1)
(.f64 1 (/.f64 (/.f64 (.f64 a c) a) (+.f64 b_2 (sqrt.f64 (fma.f64 (.f64 c (+.f64 a a)) 4 (fma.f64 b_2 b_2 (.f64 a c)))))))
(.f64 (sqrt.f64 (/.f64 (/.f64 (.f64 a c) a) (+.f64 b_2 (sqrt.f64 (fma.f64 (.f64 c (+.f64 a a)) 4 (fma.f64 b_2 b_2 (.f64 a c))))))) (sqrt.f64 (/.f64 (/.f64 (.f64 a c) a) (+.f64 b_2 (sqrt.f64 (fma.f64 (.f64 c (+.f64 a a)) 4 (fma.f64 b_2 b_2 (*.f64 a c))))))))
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(.f64 (cbrt.f64 (/.f64 (/.f64 (.f64 a c) a) (+.f64 b_2 (sqrt.f64 (fma.f64 (.f64 c (+.f64 a a)) 4 (fma.f64 b_2 b_2 (.f64 a c))))))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (.f64 a c) a) (+.f64 b_2 (sqrt.f64 (fma.f64 (.f64 c (+.f64 a a)) 4 (fma.f64 b_2 b_2 (*.f64 a c))))))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (.f64 a c) a) (+.f64 b_2 (sqrt.f64 (fma.f64 (.f64 c (+.f64 a a)) 4 (fma.f64 b_2 b_2 (.f64 a c))))))) 2) (cbrt.f64 (/.f64 (/.f64 (.f64 a c) a) (+.f64 b_2 (sqrt.f64 (fma.f64 (.f64 c (+.f64 a a)) 4 (fma.f64 b_2 b_2 (*.f64 a c))))))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 c (/.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 (.f64 c (+.f64 a a)) 4 (fma.f64 b_2 b_2 (.f64 a c))))) a))) 2) (.f64 (cbrt.f64 (/.f64 c (/.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 (.f64 c (+.f64 a a)) 4 (fma.f64 b_2 b_2 (.f64 a c))))) a))) (/.f64 1 a)))
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(.f64 (/.f64 (.f64 a c) 1) (/.f64 (/.f64 1 (+.f64 b_2 (sqrt.f64 (fma.f64 (.f64 c (+.f64 a a)) 4 (fma.f64 b_2 b_2 (.f64 a c)))))) a))
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(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 a c)) 2) a) (/.f64 (cbrt.f64 (.f64 a c)) (+.f64 b_2 (sqrt.f64 (fma.f64 (.f64 c (+.f64 a a)) 4 (fma.f64 b_2 b_2 (*.f64 a c)))))))
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(.f64 (/.f64 (.f64 a c) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (/.f64 1 (+.f64 b_2 (sqrt.f64 (fma.f64 (.f64 c (+.f64 a a)) 4 (fma.f64 b_2 b_2 (.f64 a c)))))) (cbrt.f64 a)))
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(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 c (/.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 (.f64 c (+.f64 a a)) 4 (fma.f64 b_2 b_2 (.f64 a c))))) a))) 2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 (/.f64 (/.f64 (.f64 a c) a) (+.f64 b_2 (sqrt.f64 (fma.f64 (.f64 c (+.f64 a a)) 4 (fma.f64 b_2 b_2 (.f64 a c))))))))
(pow.f64 (/.f64 (/.f64 (.f64 a c) a) (+.f64 b_2 (sqrt.f64 (fma.f64 (.f64 c (+.f64 a a)) 4 (fma.f64 b_2 b_2 (*.f64 a c)))))) 1)
(pow.f64 (sqrt.f64 (/.f64 (/.f64 (.f64 a c) a) (+.f64 b_2 (sqrt.f64 (fma.f64 (.f64 c (+.f64 a a)) 4 (fma.f64 b_2 b_2 (*.f64 a c))))))) 2)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 (.f64 a c) a) (+.f64 b_2 (sqrt.f64 (fma.f64 (.f64 c (+.f64 a a)) 4 (fma.f64 b_2 b_2 (*.f64 a c))))))) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 (.f64 a c) a) (+.f64 b_2 (sqrt.f64 (fma.f64 (.f64 c (+.f64 a a)) 4 (fma.f64 b_2 b_2 (*.f64 a c)))))) 3) 1/3)
(pow.f64 (.f64 (/.f64 a (.f64 a c)) (+.f64 b_2 (sqrt.f64 (fma.f64 (.f64 c (+.f64 a a)) 4 (fma.f64 b_2 b_2 (.f64 a c)))))) -1)
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(sqrt.f64 (pow.f64 (/.f64 (/.f64 (.f64 a c) a) (+.f64 b_2 (sqrt.f64 (fma.f64 (.f64 c (+.f64 a a)) 4 (fma.f64 b_2 b_2 (*.f64 a c)))))) 2))
(log.f64 (exp.f64 (/.f64 (/.f64 (.f64 a c) a) (+.f64 b_2 (sqrt.f64 (fma.f64 (.f64 c (+.f64 a a)) 4 (fma.f64 b_2 b_2 (*.f64 a c))))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (.f64 a c) a) (+.f64 b_2 (sqrt.f64 (fma.f64 (.f64 c (+.f64 a a)) 4 (fma.f64 b_2 b_2 (*.f64 a c)))))))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 (.f64 a c) a) (+.f64 b_2 (sqrt.f64 (fma.f64 (.f64 c (+.f64 a a)) 4 (fma.f64 b_2 b_2 (*.f64 a c)))))) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 c (/.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 (.f64 c (+.f64 a a)) 4 (fma.f64 b_2 b_2 (.f64 a c))))) a)) 3) (pow.f64 a 3)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (.f64 a c) a) (+.f64 b_2 (sqrt.f64 (fma.f64 (.f64 c (+.f64 a a)) 4 (fma.f64 b_2 b_2 (*.f64 a c))))))))
(exp.f64 (log.f64 (/.f64 (/.f64 (.f64 a c) a) (+.f64 b_2 (sqrt.f64 (fma.f64 (.f64 c (+.f64 a a)) 4 (fma.f64 b_2 b_2 (*.f64 a c))))))))
(exp.f64 (.f64 (log.f64 (/.f64 (/.f64 (.f64 a c) a) (+.f64 b_2 (sqrt.f64 (fma.f64 (.f64 c (+.f64 a a)) 4 (fma.f64 b_2 b_2 (.f64 a c))))))) 1))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 (.f64 a c) a) (+.f64 b_2 (sqrt.f64 (fma.f64 (.f64 c (+.f64 a a)) 4 (fma.f64 b_2 b_2 (*.f64 a c))))))))

Outputs
(.f64 a (+.f64 c (.f64 -1 c)))
0
(.f64 a (+.f64 c (.f64 -1 c)))
0
(.f64 a (+.f64 c (.f64 -1 c)))
0
(.f64 a (+.f64 c (.f64 -1 c)))
0
(.f64 a (+.f64 c (.f64 -1 c)))
0
(.f64 a (+.f64 c (.f64 -1 c)))
0
(.f64 a (+.f64 c (.f64 -1 c)))
0
(.f64 a (+.f64 c (.f64 -1 c)))
0
(.f64 -1 (.f64 a (+.f64 c (*.f64 -1 c))))
0
(.f64 -1 (.f64 a (+.f64 c (*.f64 -1 c))))
0
(.f64 -1 (.f64 a (+.f64 c (*.f64 -1 c))))
0
(.f64 -1 (.f64 a (+.f64 c (*.f64 -1 c))))
0
(.f64 c (+.f64 a (.f64 -1 a)))
0
(.f64 c (+.f64 a (.f64 -1 a)))
0
(.f64 c (+.f64 a (.f64 -1 a)))
0
(.f64 c (+.f64 a (.f64 -1 a)))
0
(.f64 c (+.f64 a (.f64 -1 a)))
0
(.f64 c (+.f64 a (.f64 -1 a)))
0
(.f64 c (+.f64 a (.f64 -1 a)))
0
(.f64 c (+.f64 a (.f64 -1 a)))
0
(.f64 -1 (.f64 c (+.f64 a (*.f64 -1 a))))
0
(.f64 -1 (.f64 c (+.f64 a (*.f64 -1 a))))
0
(.f64 -1 (.f64 c (+.f64 a (*.f64 -1 a))))
0
(.f64 -1 (.f64 c (+.f64 a (*.f64 -1 a))))
0
(sqrt.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (*.f64 c a)))
0
(+.f64 (sqrt.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a))) (.f64 1/2 (.f64 (pow.f64 b_2 2) (sqrt.f64 (/.f64 1 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)))))))
0
(+.f64 (.f64 -1/8 (.f64 (pow.f64 b_2 4) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)) 3))))) (+.f64 (sqrt.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a))) (.f64 1/2 (.f64 (pow.f64 b_2 2) (sqrt.f64 (/.f64 1 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (*.f64 c a))))))))
0
(+.f64 (.f64 -1/8 (.f64 (pow.f64 b_2 4) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)) 3))))) (+.f64 (sqrt.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a))) (+.f64 (.f64 1/16 (.f64 (pow.f64 b_2 6) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)) 5))))) (.f64 1/2 (.f64 (pow.f64 b_2 2) (sqrt.f64 (/.f64 1 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)))))))))
0
b_2
(+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)) b_2)) b_2)
0
(+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)) b_2)) (+.f64 b_2 (.f64 -1/8 (/.f64 (pow.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)) 2) (pow.f64 b_2 3)))))
(+.f64 (fma.f64 1/2 (/.f64 (-.f64 0 (.f64 a c)) b_2) b_2) (.f64 -1/8 (/.f64 (pow.f64 (-.f64 0 (*.f64 a c)) 2) (pow.f64 b_2 3))))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)) 3) (pow.f64 b_2 5))) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)) b_2)) (+.f64 b_2 (.f64 -1/8 (/.f64 (pow.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)) 2) (pow.f64 b_2 3))))))
(fma.f64 1/16 (/.f64 (pow.f64 (-.f64 0 (.f64 a c)) 3) (pow.f64 b_2 5)) (+.f64 (fma.f64 1/2 (/.f64 (-.f64 0 (.f64 a c)) b_2) b_2) (.f64 -1/8 (/.f64 (pow.f64 (-.f64 0 (.f64 a c)) 2) (pow.f64 b_2 3)))))
(*.f64 -1 b_2)
0
(+.f64 (.f64 -1/2 (/.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)) b_2)) (*.f64 -1 b_2))
0
(+.f64 (.f64 1/8 (/.f64 (pow.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)) 2) (pow.f64 b_2 3))) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)) b_2)) (*.f64 -1 b_2)))
(fma.f64 1/8 (/.f64 (pow.f64 (-.f64 0 (.f64 a c)) 2) (pow.f64 b_2 3)) (fma.f64 -1/2 (/.f64 (-.f64 0 (.f64 a c)) b_2) (neg.f64 b_2)))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)) 2) (pow.f64 b_2 3))) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)) b_2)) (+.f64 (.f64 -1 b_2) (.f64 -1/16 (/.f64 (pow.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (*.f64 c a)) 3) (pow.f64 b_2 5))))))
(fma.f64 1/8 (/.f64 (pow.f64 (-.f64 0 (.f64 a c)) 2) (pow.f64 b_2 3)) (fma.f64 -1/2 (/.f64 (-.f64 0 (.f64 a c)) b_2) (fma.f64 -1 b_2 (.f64 (/.f64 (pow.f64 (-.f64 0 (.f64 a c)) 3) (pow.f64 b_2 5)) -1/16))))
b_2
(+.f64 b_2 (.f64 1/2 (/.f64 (.f64 c (-.f64 (.f64 4 (+.f64 a (.f64 -1 a))) a)) b_2)))
0
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 (-.f64 (.f64 4 (+.f64 a (.f64 -1 a))) a) 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 1/2 (/.f64 (.f64 c (-.f64 (.f64 4 (+.f64 a (.f64 -1 a))) a)) b_2))))
(+.f64 (fma.f64 1/2 (/.f64 (-.f64 0 (.f64 a c)) b_2) b_2) (.f64 -1/8 (/.f64 (pow.f64 (-.f64 0 (*.f64 a c)) 2) (pow.f64 b_2 3))))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 (-.f64 (.f64 4 (+.f64 a (.f64 -1 a))) a) 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 (-.f64 (.f64 4 (+.f64 a (.f64 -1 a))) a) 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 1/2 (/.f64 (.f64 c (-.f64 (.f64 4 (+.f64 a (.f64 -1 a))) a)) b_2)))))
(fma.f64 1/16 (/.f64 (pow.f64 (-.f64 0 (.f64 a c)) 3) (pow.f64 b_2 5)) (+.f64 (fma.f64 1/2 (/.f64 (-.f64 0 (.f64 a c)) b_2) b_2) (.f64 -1/8 (/.f64 (pow.f64 (-.f64 0 (.f64 a c)) 2) (pow.f64 b_2 3)))))
b_2
(+.f64 (.f64 1/2 (/.f64 (.f64 a (-.f64 (.f64 4 (+.f64 c (.f64 -1 c))) c)) b_2)) b_2)
0
(+.f64 (.f64 1/2 (/.f64 (.f64 a (-.f64 (.f64 4 (+.f64 c (.f64 -1 c))) c)) b_2)) (+.f64 b_2 (.f64 -1/8 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 (-.f64 (.f64 4 (+.f64 c (.f64 -1 c))) c) 2)) (pow.f64 b_2 3)))))
(+.f64 (fma.f64 1/2 (/.f64 (-.f64 0 (.f64 a c)) b_2) b_2) (.f64 -1/8 (/.f64 (pow.f64 (-.f64 0 (*.f64 a c)) 2) (pow.f64 b_2 3))))
(+.f64 (.f64 1/2 (/.f64 (.f64 a (-.f64 (.f64 4 (+.f64 c (.f64 -1 c))) c)) b_2)) (+.f64 b_2 (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 a 3) (pow.f64 (-.f64 (.f64 4 (+.f64 c (.f64 -1 c))) c) 3)) (pow.f64 b_2 5))) (.f64 -1/8 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 (-.f64 (.f64 4 (+.f64 c (.f64 -1 c))) c) 2)) (pow.f64 b_2 3))))))
(fma.f64 1/16 (/.f64 (pow.f64 (-.f64 0 (.f64 a c)) 3) (pow.f64 b_2 5)) (+.f64 (fma.f64 1/2 (/.f64 (-.f64 0 (.f64 a c)) b_2) b_2) (.f64 -1/8 (/.f64 (pow.f64 (-.f64 0 (.f64 a c)) 2) (pow.f64 b_2 3)))))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
0
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (-.f64 (.f64 4 (+.f64 a (.f64 -1 a))) a) a)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (*.f64 c a) b_2)))
(fma.f64 1/8 (/.f64 (pow.f64 (-.f64 0 (.f64 a c)) 2) (pow.f64 b_2 3)) (fma.f64 -1/2 (/.f64 (-.f64 0 (.f64 a c)) b_2) (neg.f64 b_2)))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (-.f64 (.f64 4 (+.f64 a (.f64 -1 a))) a) a)) (pow.f64 b_2 3))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (-.f64 (.f64 4 (+.f64 a (.f64 -1 a))) a) 2) a)) (pow.f64 b_2 5))) (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(fma.f64 1/8 (/.f64 (pow.f64 (-.f64 0 (.f64 a c)) 2) (pow.f64 b_2 3)) (fma.f64 -1/2 (/.f64 (-.f64 0 (.f64 a c)) b_2) (fma.f64 -1 b_2 (.f64 (/.f64 (pow.f64 (-.f64 0 (.f64 a c)) 3) (pow.f64 b_2 5)) -1/16))))
(+.f64 (.f64 (+.f64 (.f64 1/128 (/.f64 (.f64 (pow.f64 (-.f64 (.f64 4 (+.f64 a (.f64 -1 a))) a) 3) a) (pow.f64 b_2 7))) (.f64 1/32 (/.f64 (.f64 (pow.f64 (-.f64 (.f64 4 (+.f64 a (.f64 -1 a))) a) 3) a) (pow.f64 b_2 7)))) (pow.f64 c 4)) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (-.f64 (.f64 4 (+.f64 a (.f64 -1 a))) a) a)) (pow.f64 b_2 3))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (-.f64 (.f64 4 (+.f64 a (.f64 -1 a))) a) 2) a)) (pow.f64 b_2 5))) (.f64 -1/2 (/.f64 (*.f64 c a) b_2)))))
(fma.f64 (.f64 (/.f64 (pow.f64 (-.f64 (.f64 (.f64 0 a) 4) a) 3) (/.f64 (pow.f64 b_2 7) a)) 5/128) (pow.f64 c 4) (fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a (-.f64 (.f64 (.f64 0 a) 4) a)))) (fma.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 a (pow.f64 (-.f64 (.f64 (.f64 0 a) 4) a) 2))) (pow.f64 b_2 5)) (.f64 -1/2 (/.f64 c (/.f64 b_2 a))))))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
0
(+.f64 (.f64 1/8 (/.f64 (.f64 c (.f64 (pow.f64 a 2) (-.f64 (.f64 4 (+.f64 c (.f64 -1 c))) c))) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (*.f64 c a) b_2)))
(fma.f64 1/8 (/.f64 (pow.f64 (-.f64 0 (.f64 a c)) 2) (pow.f64 b_2 3)) (fma.f64 -1/2 (/.f64 (-.f64 0 (.f64 a c)) b_2) (neg.f64 b_2)))
(+.f64 (.f64 -1/16 (/.f64 (.f64 c (.f64 (pow.f64 a 3) (pow.f64 (-.f64 (.f64 4 (+.f64 c (.f64 -1 c))) c) 2))) (pow.f64 b_2 5))) (+.f64 (.f64 1/8 (/.f64 (.f64 c (.f64 (pow.f64 a 2) (-.f64 (.f64 4 (+.f64 c (.f64 -1 c))) c))) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(fma.f64 1/8 (/.f64 (pow.f64 (-.f64 0 (.f64 a c)) 2) (pow.f64 b_2 3)) (fma.f64 -1/2 (/.f64 (-.f64 0 (.f64 a c)) b_2) (fma.f64 -1 b_2 (.f64 (/.f64 (pow.f64 (-.f64 0 (.f64 a c)) 3) (pow.f64 b_2 5)) -1/16))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 c (.f64 (pow.f64 a 3) (pow.f64 (-.f64 (.f64 4 (+.f64 c (.f64 -1 c))) c) 2))) (pow.f64 b_2 5))) (+.f64 (.f64 (pow.f64 a 4) (+.f64 (.f64 1/128 (/.f64 (.f64 c (pow.f64 (-.f64 (.f64 4 (+.f64 c (.f64 -1 c))) c) 3)) (pow.f64 b_2 7))) (.f64 1/32 (/.f64 (.f64 c (pow.f64 (-.f64 (.f64 4 (+.f64 c (.f64 -1 c))) c) 3)) (pow.f64 b_2 7))))) (+.f64 (.f64 1/8 (/.f64 (.f64 c (.f64 (pow.f64 a 2) (-.f64 (.f64 4 (+.f64 c (.f64 -1 c))) c))) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (*.f64 c a) b_2)))))
(fma.f64 (.f64 (/.f64 (pow.f64 (-.f64 (.f64 (.f64 0 a) 4) a) 3) (/.f64 (pow.f64 b_2 7) a)) 5/128) (pow.f64 c 4) (fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a (-.f64 (.f64 (.f64 0 a) 4) a)))) (fma.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 a (pow.f64 (-.f64 (.f64 (.f64 0 a) 4) a) 2))) (pow.f64 b_2 5)) (.f64 -1/2 (/.f64 c (/.f64 b_2 a))))))
(.f64 -1 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a))))))
0
(+.f64 (.f64 -1 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)))))) (/.f64 (.f64 c (.f64 a b_2)) (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (*.f64 c a))))
0
(+.f64 (.f64 -1 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)))))) (+.f64 (/.f64 (.f64 c (.f64 a b_2)) (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a))) (.f64 (pow.f64 b_2 2) (+.f64 (.f64 1/2 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)) 3))))) (.f64 -1 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)) 3)))))))))
0
(+.f64 (.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 c a) (pow.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)) 2))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)))) (+.f64 (.f64 1/2 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)) 3))))) (.f64 -1 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)) 3))))))))) (pow.f64 b_2 3)) (+.f64 (.f64 -1 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)))))) (+.f64 (/.f64 (.f64 c (.f64 a b_2)) (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a))) (.f64 (pow.f64 b_2 2) (+.f64 (.f64 1/2 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)) 3))))) (.f64 -1 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (*.f64 c a)) 3))))))))))
0
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
0
(+.f64 (.f64 1/8 (/.f64 (.f64 c (.f64 a (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)))) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(fma.f64 1/8 (/.f64 (pow.f64 (-.f64 0 (.f64 a c)) 2) (pow.f64 b_2 3)) (fma.f64 -1/2 (/.f64 (-.f64 0 (.f64 a c)) b_2) (neg.f64 b_2)))
(+.f64 (.f64 1/8 (/.f64 (.f64 c (.f64 a (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)))) (pow.f64 b_2 3))) (+.f64 (.f64 -1/16 (/.f64 (.f64 c (.f64 a (pow.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)) 2))) (pow.f64 b_2 5))) (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(fma.f64 1/8 (/.f64 (pow.f64 (-.f64 0 (.f64 a c)) 2) (pow.f64 b_2 3)) (fma.f64 -1/2 (/.f64 (-.f64 0 (.f64 a c)) b_2) (fma.f64 -1 b_2 (.f64 (/.f64 (pow.f64 (-.f64 0 (.f64 a c)) 3) (pow.f64 b_2 5)) -1/16))))
(+.f64 (.f64 1/8 (/.f64 (.f64 c (.f64 a (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)))) (pow.f64 b_2 3))) (+.f64 (.f64 -1/16 (/.f64 (.f64 c (.f64 a (pow.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)) 2))) (pow.f64 b_2 5))) (+.f64 (.f64 1/32 (/.f64 (.f64 c (.f64 a (pow.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)) 3))) (pow.f64 b_2 7))) (+.f64 (.f64 1/128 (/.f64 (.f64 c (.f64 a (pow.f64 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)) 3))) (pow.f64 b_2 7))) (.f64 -1/2 (/.f64 (.f64 c a) b_2))))))
(fma.f64 (.f64 (/.f64 (pow.f64 (-.f64 (.f64 (.f64 0 a) 4) a) 3) (/.f64 (pow.f64 b_2 7) a)) 5/128) (pow.f64 c 4) (fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a (-.f64 (.f64 (.f64 0 a) 4) a)))) (fma.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 a (pow.f64 (-.f64 (.f64 (.f64 0 a) 4) a) 2))) (pow.f64 b_2 5)) (.f64 -1/2 (/.f64 c (/.f64 b_2 a))))))
(.f64 2 (/.f64 (.f64 c (.f64 a b_2)) (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a))))
0
(+.f64 (.f64 2 (/.f64 (.f64 c (.f64 a b_2)) (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)))) (.f64 1/2 (/.f64 (.f64 c a) b_2)))
0
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(.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 (/.f64 c (/.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 (.f64 c (+.f64 a a)) 4 (fma.f64 b_2 b_2 (*.f64 a c))))) a)) (sqrt.f64 a)))
0
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 (/.f64 c (/.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 (.f64 c (+.f64 a a)) 4 (fma.f64 b_2 b_2 (*.f64 a c))))) a)) (cbrt.f64 a)))
0
(.f64 (/.f64 (.f64 a c) 1) (/.f64 (/.f64 1 (+.f64 b_2 (sqrt.f64 (fma.f64 (.f64 c (+.f64 a a)) 4 (fma.f64 b_2 b_2 (.f64 a c)))))) a))
0
(.f64 (/.f64 (sqrt.f64 (.f64 a c)) a) (/.f64 (sqrt.f64 (.f64 a c)) (+.f64 b_2 (sqrt.f64 (fma.f64 (.f64 c (+.f64 a a)) 4 (fma.f64 b_2 b_2 (*.f64 a c)))))))
0
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 a c)) 2) a) (/.f64 (cbrt.f64 (.f64 a c)) (+.f64 b_2 (sqrt.f64 (fma.f64 (.f64 c (+.f64 a a)) 4 (fma.f64 b_2 b_2 (*.f64 a c)))))))
0
(.f64 (/.f64 (.f64 a c) (sqrt.f64 a)) (/.f64 (/.f64 1 (+.f64 b_2 (sqrt.f64 (fma.f64 (.f64 c (+.f64 a a)) 4 (fma.f64 b_2 b_2 (.f64 a c)))))) (sqrt.f64 a)))
0
(.f64 (/.f64 (.f64 a c) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (/.f64 1 (+.f64 b_2 (sqrt.f64 (fma.f64 (.f64 c (+.f64 a a)) 4 (fma.f64 b_2 b_2 (.f64 a c)))))) (cbrt.f64 a)))
0
(.f64 (/.f64 (sqrt.f64 (/.f64 c (/.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 (.f64 c (+.f64 a a)) 4 (fma.f64 b_2 b_2 (.f64 a c))))) a))) 1) (/.f64 (sqrt.f64 (/.f64 c (/.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 (.f64 c (+.f64 a a)) 4 (fma.f64 b_2 b_2 (*.f64 a c))))) a))) a))
0
(.f64 (/.f64 (sqrt.f64 (/.f64 c (/.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 (.f64 c (+.f64 a a)) 4 (fma.f64 b_2 b_2 (.f64 a c))))) a))) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (sqrt.f64 (/.f64 c (/.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 (.f64 c (+.f64 a a)) 4 (fma.f64 b_2 b_2 (*.f64 a c))))) a))) (cbrt.f64 a)))
0
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 c (/.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 (.f64 c (+.f64 a a)) 4 (fma.f64 b_2 b_2 (.f64 a c))))) a))) 2) 1) (/.f64 (cbrt.f64 (/.f64 c (/.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 (.f64 c (+.f64 a a)) 4 (fma.f64 b_2 b_2 (*.f64 a c))))) a))) a))
0
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 c (/.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 (.f64 c (+.f64 a a)) 4 (fma.f64 b_2 b_2 (.f64 a c))))) a))) 2) (sqrt.f64 a)) (/.f64 (cbrt.f64 (/.f64 c (/.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 (.f64 c (+.f64 a a)) 4 (fma.f64 b_2 b_2 (*.f64 a c))))) a))) (sqrt.f64 a)))
0
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 c (/.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 (.f64 c (+.f64 a a)) 4 (fma.f64 b_2 b_2 (.f64 a c))))) a))) 2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 (/.f64 (/.f64 (.f64 a c) a) (+.f64 b_2 (sqrt.f64 (fma.f64 (.f64 c (+.f64 a a)) 4 (fma.f64 b_2 b_2 (.f64 a c))))))))
0
(pow.f64 (/.f64 (/.f64 (.f64 a c) a) (+.f64 b_2 (sqrt.f64 (fma.f64 (.f64 c (+.f64 a a)) 4 (fma.f64 b_2 b_2 (*.f64 a c)))))) 1)
0
(pow.f64 (sqrt.f64 (/.f64 (/.f64 (.f64 a c) a) (+.f64 b_2 (sqrt.f64 (fma.f64 (.f64 c (+.f64 a a)) 4 (fma.f64 b_2 b_2 (*.f64 a c))))))) 2)
0
(pow.f64 (cbrt.f64 (/.f64 (/.f64 (.f64 a c) a) (+.f64 b_2 (sqrt.f64 (fma.f64 (.f64 c (+.f64 a a)) 4 (fma.f64 b_2 b_2 (*.f64 a c))))))) 3)
0
(pow.f64 (pow.f64 (/.f64 (/.f64 (.f64 a c) a) (+.f64 b_2 (sqrt.f64 (fma.f64 (.f64 c (+.f64 a a)) 4 (fma.f64 b_2 b_2 (*.f64 a c)))))) 3) 1/3)
0
(pow.f64 (.f64 (/.f64 a (.f64 a c)) (+.f64 b_2 (sqrt.f64 (fma.f64 (.f64 c (+.f64 a a)) 4 (fma.f64 b_2 b_2 (.f64 a c)))))) -1)
0
(neg.f64 (/.f64 (/.f64 (.f64 a c) a) (+.f64 b_2 (sqrt.f64 (fma.f64 (.f64 c (+.f64 a a)) 4 (fma.f64 b_2 b_2 (*.f64 a c)))))))
0
(sqrt.f64 (pow.f64 (/.f64 (/.f64 (.f64 a c) a) (+.f64 b_2 (sqrt.f64 (fma.f64 (.f64 c (+.f64 a a)) 4 (fma.f64 b_2 b_2 (*.f64 a c)))))) 2))
0
(log.f64 (exp.f64 (/.f64 (/.f64 (.f64 a c) a) (+.f64 b_2 (sqrt.f64 (fma.f64 (.f64 c (+.f64 a a)) 4 (fma.f64 b_2 b_2 (*.f64 a c))))))))
0
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (.f64 a c) a) (+.f64 b_2 (sqrt.f64 (fma.f64 (.f64 c (+.f64 a a)) 4 (fma.f64 b_2 b_2 (*.f64 a c)))))))))
0
(cbrt.f64 (pow.f64 (/.f64 (/.f64 (.f64 a c) a) (+.f64 b_2 (sqrt.f64 (fma.f64 (.f64 c (+.f64 a a)) 4 (fma.f64 b_2 b_2 (*.f64 a c)))))) 3))
0
(cbrt.f64 (/.f64 (pow.f64 (/.f64 c (/.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 (.f64 c (+.f64 a a)) 4 (fma.f64 b_2 b_2 (.f64 a c))))) a)) 3) (pow.f64 a 3)))
0
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (.f64 a c) a) (+.f64 b_2 (sqrt.f64 (fma.f64 (.f64 c (+.f64 a a)) 4 (fma.f64 b_2 b_2 (*.f64 a c))))))))
0
(exp.f64 (log.f64 (/.f64 (/.f64 (.f64 a c) a) (+.f64 b_2 (sqrt.f64 (fma.f64 (.f64 c (+.f64 a a)) 4 (fma.f64 b_2 b_2 (*.f64 a c))))))))
0
(exp.f64 (.f64 (log.f64 (/.f64 (/.f64 (.f64 a c) a) (+.f64 b_2 (sqrt.f64 (fma.f64 (.f64 c (+.f64 a a)) 4 (fma.f64 b_2 b_2 (.f64 a c))))))) 1))
0
(log1p.f64 (expm1.f64 (/.f64 (/.f64 (.f64 a c) a) (+.f64 b_2 (sqrt.f64 (fma.f64 (.f64 c (+.f64 a a)) 4 (fma.f64 b_2 b_2 (*.f64 a c))))))))
0

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 9 computations (35.7% saved)

series0.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	b_2	@	0	(*.f64 (/.f64 -1/2 b_2) c)
0.0ms	b_2	@	inf	(*.f64 (/.f64 -1/2 b_2) c)
0.0ms	b_2	@	-inf	(*.f64 (/.f64 -1/2 b_2) c)
0.0ms	c	@	-inf	(*.f64 (/.f64 -1/2 b_2) c)
0.0ms	c	@	inf	(*.f64 (/.f64 -1/2 b_2) c)

rewrite61.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1448×	`add-sqr-sqrt`
1424×	`*-un-lft-identity`
1330×	`add-cube-cbrt`
1314×	`add-cbrt-cube`
1302×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	148	13
2	1798	13

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

Outputs

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

simplify49.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1852×	`distribute-rgt-in`
1842×	`distribute-lft-in`
1076×	`associate-r`
966×	`associate-l`
650×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	598
1	145	598
2	552	598
3	4252	598

Stop Event

1×	node limit

Counts

46 → 23

Calls

Call 1

Inputs
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(-.f64 (+.f64 1 (*.f64 -1/2 (/.f64 c b_2))) 1)
(/.f64 -1/2 (/.f64 b_2 c))
(/.f64 c (*.f64 b_2 -2))
(/.f64 1 (/.f64 b_2 (*.f64 -1/2 c)))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 (*.f64 c 1/2) (neg.f64 b_2))
(/.f64 (*.f64 1/2 c) (neg.f64 b_2))
(/.f64 (/.f64 (*.f64 -1/2 c) 1) b_2)
(/.f64 (/.f64 (*.f64 -1/2 c) (sqrt.f64 b_2)) (sqrt.f64 b_2))
(/.f64 (/.f64 (*.f64 -1/2 c) (pow.f64 (cbrt.f64 b_2) 2)) (cbrt.f64 b_2))
(/.f64 (neg.f64 (*.f64 -1/2 c)) (neg.f64 b_2))
(pow.f64 (*.f64 -1/2 (/.f64 c b_2)) 1)
(pow.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 c b_2))) 2)
(pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b_2))) 3)
(pow.f64 (pow.f64 (*.f64 -1/2 (/.f64 c b_2)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 -1/2 (/.f64 c b_2)) 2))
(log.f64 (pow.f64 (exp.f64 c) (/.f64 -1/2 b_2)))
(cbrt.f64 (pow.f64 (*.f64 -1/2 (/.f64 c b_2)) 3))
(expm1.f64 (log1p.f64 (*.f64 -1/2 (/.f64 c b_2))))
(exp.f64 (log.f64 (*.f64 -1/2 (/.f64 c b_2))))
(exp.f64 (.f64 (log.f64 (.f64 -1/2 (/.f64 c b_2))) 1))
(log1p.f64 (expm1.f64 (*.f64 -1/2 (/.f64 c b_2))))

Outputs
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(-.f64 (+.f64 1 (*.f64 -1/2 (/.f64 c b_2))) 1)
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 c (*.f64 b_2 -2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 1 (/.f64 b_2 (*.f64 -1/2 c)))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 c 1/2) (neg.f64 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 1/2 c) (neg.f64 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (/.f64 (*.f64 -1/2 c) 1) b_2)
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (/.f64 (*.f64 -1/2 c) (sqrt.f64 b_2)) (sqrt.f64 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (/.f64 (*.f64 -1/2 c) (pow.f64 (cbrt.f64 b_2) 2)) (cbrt.f64 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (neg.f64 (*.f64 -1/2 c)) (neg.f64 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(pow.f64 (*.f64 -1/2 (/.f64 c b_2)) 1)
(*.f64 -1/2 (/.f64 c b_2))
(pow.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 c b_2))) 2)
(*.f64 -1/2 (/.f64 c b_2))
(pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b_2))) 3)
(*.f64 -1/2 (/.f64 c b_2))
(pow.f64 (pow.f64 (*.f64 -1/2 (/.f64 c b_2)) 3) 1/3)
(*.f64 -1/2 (/.f64 c b_2))
(sqrt.f64 (pow.f64 (*.f64 -1/2 (/.f64 c b_2)) 2))
(*.f64 -1/2 (/.f64 c b_2))
(log.f64 (pow.f64 (exp.f64 c) (/.f64 -1/2 b_2)))
(*.f64 -1/2 (/.f64 c b_2))
(cbrt.f64 (pow.f64 (*.f64 -1/2 (/.f64 c b_2)) 3))
(*.f64 -1/2 (/.f64 c b_2))
(expm1.f64 (log1p.f64 (*.f64 -1/2 (/.f64 c b_2))))
(*.f64 -1/2 (/.f64 c b_2))
(exp.f64 (log.f64 (*.f64 -1/2 (/.f64 c b_2))))
(*.f64 -1/2 (/.f64 c b_2))
(exp.f64 (.f64 (log.f64 (.f64 -1/2 (/.f64 c b_2))) 1))
(*.f64 -1/2 (/.f64 c b_2))
(log1p.f64 (expm1.f64 (*.f64 -1/2 (/.f64 c b_2))))
(*.f64 -1/2 (/.f64 c b_2))

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (/.f64 1 a) (.f64 c -1/2))
✓	13.8b	(/.f64 (.f64 (/.f64 1 a) (.f64 c -1/2)) (/.f64 b_2 a))

Compiler

Compiled 35 to 21 computations (40% saved)

series3.0ms (0%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	a	@	-inf	(/.f64 (.f64 (/.f64 1 a) (.f64 c -1/2)) (/.f64 b_2 a))
0.0ms	c	@	0	(.f64 (/.f64 1 a) (.f64 c -1/2))
0.0ms	c	@	inf	(.f64 (/.f64 1 a) (.f64 c -1/2))
0.0ms	c	@	-inf	(.f64 (/.f64 1 a) (.f64 c -1/2))
0.0ms	a	@	-inf	(.f64 (/.f64 1 a) (.f64 c -1/2))

rewrite105.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1432×	`associate-/l/`
1424×	`associate-/r/`
508×	`distribute-lft-neg-in`
460×	`distribute-rgt-neg-in`
252×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	38
1	254	38
2	3564	38

Stop Event

1×	node limit

Counts

2 → 137

Calls

Call 1

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

Outputs

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

simplify84.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1264×	`distribute-lft-in`
874×	`associate-r`
830×	`associate-l`
754×	`associate-/l*`
726×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	357	3705
1	1077	3579
2	5963	3579

Stop Event

1×	node limit

Counts

197 → 184

Calls

Call 1

Inputs
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c a))
(*.f64 -1/2 (/.f64 c a))
(*.f64 -1/2 (/.f64 c a))
(*.f64 -1/2 (/.f64 c a))
(*.f64 -1/2 (/.f64 c a))
(*.f64 -1/2 (/.f64 c a))
(*.f64 -1/2 (/.f64 c a))
(*.f64 -1/2 (/.f64 c a))
(*.f64 -1/2 (/.f64 c a))
(*.f64 -1/2 (/.f64 c a))
(*.f64 -1/2 (/.f64 c a))
(*.f64 -1/2 (/.f64 c a))
(*.f64 -1/2 (/.f64 c a))
(*.f64 -1/2 (/.f64 c a))
(*.f64 -1/2 (/.f64 c a))
(*.f64 -1/2 (/.f64 c a))
(*.f64 -1/2 (/.f64 c a))
(*.f64 -1/2 (/.f64 c a))
(*.f64 -1/2 (/.f64 c a))
(*.f64 -1/2 (/.f64 c a))
(*.f64 -1/2 (/.f64 c a))
(*.f64 -1/2 (/.f64 c a))
(*.f64 -1/2 (/.f64 c a))
(*.f64 -1/2 (/.f64 c a))
(-.f64 (exp.f64 (log1p.f64 (.f64 a (.f64 (/.f64 c a) (/.f64 -1/2 b_2))))) 1)
(.f64 1 (.f64 a (*.f64 (/.f64 c a) (/.f64 -1/2 b_2))))
(.f64 a (.f64 (/.f64 c a) (/.f64 -1/2 b_2)))
(.f64 (/.f64 1 a) (.f64 (*.f64 c -1/2) (/.f64 a b_2)))
(.f64 (/.f64 1 a) (/.f64 (.f64 c -1/2) (/.f64 b_2 a)))
(.f64 (/.f64 1 a) (.f64 (/.f64 a b_2) (*.f64 c -1/2)))
(.f64 (.f64 c -1/2) (*.f64 (/.f64 1 a) (/.f64 a b_2)))
(.f64 (.f64 c (/.f64 -1/2 a)) (/.f64 a b_2))
(.f64 (.f64 a (*.f64 (/.f64 c a) (/.f64 -1/2 b_2))) 1)
(.f64 (sqrt.f64 (.f64 a (.f64 (/.f64 c a) (/.f64 -1/2 b_2)))) (sqrt.f64 (.f64 a (*.f64 (/.f64 c a) (/.f64 -1/2 b_2)))))
(.f64 (sqrt.f64 (.f64 c (/.f64 -1/2 a))) (.f64 (sqrt.f64 (.f64 c (/.f64 -1/2 a))) (/.f64 a b_2)))
(.f64 (cbrt.f64 (.f64 a (.f64 (/.f64 c a) (/.f64 -1/2 b_2)))) (pow.f64 (cbrt.f64 (.f64 a (*.f64 (/.f64 c a) (/.f64 -1/2 b_2)))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 a (.f64 (/.f64 c a) (/.f64 -1/2 b_2)))) 2) (cbrt.f64 (.f64 a (*.f64 (/.f64 c a) (/.f64 -1/2 b_2)))))
(.f64 (pow.f64 (cbrt.f64 (.f64 c (/.f64 -1/2 a))) 2) (.f64 (cbrt.f64 (.f64 c (/.f64 -1/2 a))) (/.f64 a b_2)))
(.f64 (/.f64 c a) (.f64 -1/2 (/.f64 a b_2)))
(.f64 (.f64 (/.f64 c a) (/.f64 -1/2 b_2)) a)
(.f64 (/.f64 a b_2) (.f64 c (/.f64 -1/2 a)))
(.f64 (.f64 (/.f64 c a) 1/2) (/.f64 a (neg.f64 b_2)))
(.f64 (.f64 (*.f64 (/.f64 c a) (/.f64 -1/2 b_2)) 1) a)
(.f64 (.f64 (*.f64 (/.f64 c a) (/.f64 -1/2 b_2)) (sqrt.f64 a)) (sqrt.f64 a))
(.f64 (.f64 (*.f64 (/.f64 c a) (/.f64 -1/2 b_2)) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
(.f64 (.f64 (sqrt.f64 (.f64 c (/.f64 -1/2 a))) (/.f64 a b_2)) (sqrt.f64 (.f64 c (/.f64 -1/2 a))))
(.f64 (/.f64 (.f64 c -1/2) 1) (*.f64 (/.f64 1 a) (/.f64 a b_2)))
(.f64 (/.f64 1 b_2) (.f64 (*.f64 c (/.f64 -1/2 a)) a))
(.f64 (.f64 1 (sqrt.f64 (/.f64 a b_2))) (/.f64 (.f64 c -1/2) (.f64 (sqrt.f64 (/.f64 b_2 a)) a)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 2)) (.f64 (*.f64 c (/.f64 -1/2 a)) (cbrt.f64 (/.f64 a b_2))))
(.f64 (/.f64 c (.f64 (sqrt.f64 b_2) (/.f64 a -1/2))) (/.f64 a (sqrt.f64 b_2)))
(.f64 (/.f64 (.f64 c -1/2) (*.f64 (pow.f64 (cbrt.f64 b_2) 2) a)) (/.f64 a (cbrt.f64 b_2)))
(.f64 (/.f64 (.f64 c -1/2) (/.f64 b_2 a)) (/.f64 1 a))
(.f64 (/.f64 (.f64 c -1/2) (sqrt.f64 (/.f64 b_2 a))) (*.f64 (/.f64 1 a) (sqrt.f64 (/.f64 a b_2))))
(.f64 (.f64 (/.f64 1 a) (/.f64 a b_2)) (*.f64 c -1/2))
(.f64 (/.f64 c (.f64 (neg.f64 b_2) (/.f64 a -1/2))) (neg.f64 a))
(.f64 (/.f64 1 (neg.f64 b_2)) (.f64 (*.f64 c (/.f64 -1/2 a)) (neg.f64 a)))
(.f64 (.f64 (/.f64 a b_2) (*.f64 c -1/2)) (/.f64 1 a))
(.f64 (/.f64 1 (.f64 b_2 a)) (/.f64 (*.f64 c -1/2) (/.f64 1 a)))
(.f64 (/.f64 1 (.f64 b_2 a)) (.f64 (.f64 c -1/2) a))
(.f64 (.f64 (/.f64 1 a) (sqrt.f64 (/.f64 a b_2))) (/.f64 (*.f64 c -1/2) (sqrt.f64 (/.f64 b_2 a))))
(.f64 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 2) a)) (/.f64 (*.f64 c -1/2) (cbrt.f64 (/.f64 b_2 a))))
(.f64 (/.f64 (.f64 c -1/2) b_2) (*.f64 (/.f64 1 a) a))
(.f64 (/.f64 (.f64 c -1/2) (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 2)) (*.f64 (/.f64 1 a) (cbrt.f64 (/.f64 a b_2))))
(.f64 (/.f64 (sqrt.f64 (.f64 c (/.f64 -1/2 a))) b_2) (.f64 (sqrt.f64 (.f64 c (/.f64 -1/2 a))) a))
(.f64 (/.f64 (sqrt.f64 (.f64 c (/.f64 -1/2 a))) (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 2)) (.f64 (sqrt.f64 (.f64 c (/.f64 -1/2 a))) (cbrt.f64 (/.f64 a b_2))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 c (/.f64 -1/2 a))) 2) 1) (/.f64 (cbrt.f64 (*.f64 c (/.f64 -1/2 a))) (/.f64 b_2 a)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 c (/.f64 -1/2 a))) 2) b_2) (.f64 (/.f64 (cbrt.f64 (.f64 c (/.f64 -1/2 a))) 1) a))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 c (/.f64 -1/2 a))) 2) (sqrt.f64 (/.f64 b_2 a))) (/.f64 (cbrt.f64 (*.f64 c (/.f64 -1/2 a))) (sqrt.f64 (/.f64 b_2 a))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 c (/.f64 -1/2 a))) 2) (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 2)) (cbrt.f64 (.f64 a (.f64 (/.f64 c a) (/.f64 -1/2 b_2)))))
(.f64 (/.f64 c (.f64 b_2 a)) (*.f64 -1/2 a))
(.f64 (/.f64 c (.f64 (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 2) a)) (*.f64 -1/2 (cbrt.f64 (/.f64 a b_2))))
(.f64 (/.f64 a (neg.f64 b_2)) (.f64 (/.f64 c a) 1/2))
(.f64 (/.f64 (.f64 c (/.f64 -1/2 a)) -1) (/.f64 a (neg.f64 b_2)))
(.f64 (/.f64 (/.f64 1 a) (neg.f64 b_2)) (.f64 (*.f64 c -1/2) (neg.f64 a)))
(.f64 (/.f64 1 (/.f64 (/.f64 b_2 a) (sqrt.f64 (.f64 c (/.f64 -1/2 a))))) (sqrt.f64 (*.f64 c (/.f64 -1/2 a))))
(.f64 (/.f64 1 (/.f64 (/.f64 b_2 a) (pow.f64 (cbrt.f64 (.f64 c (/.f64 -1/2 a))) 2))) (cbrt.f64 (*.f64 c (/.f64 -1/2 a))))
(.f64 (/.f64 1 (.f64 (/.f64 b_2 (*.f64 c a)) a)) -1/2)
(.f64 (/.f64 (/.f64 1 a) (/.f64 b_2 (neg.f64 a))) (.f64 c 1/2))
(.f64 (/.f64 (/.f64 1 a) (/.f64 b_2 (.f64 c a))) -1/2)
(.f64 (/.f64 (/.f64 1 a) (/.f64 b_2 (.f64 -1/2 a))) c)
(.f64 (/.f64 (/.f64 1 a) (/.f64 b_2 (.f64 (sqrt.f64 (.f64 c -1/2)) a))) (sqrt.f64 (.f64 c -1/2)))
(.f64 (/.f64 (/.f64 1 a) (/.f64 (/.f64 b_2 a) (cbrt.f64 (.f64 (.f64 c c) 1/4)))) (cbrt.f64 (.f64 c -1/2)))
(.f64 (/.f64 (.f64 c (/.f64 -1/2 a)) (/.f64 b_2 1)) a)
(.f64 (/.f64 (.f64 c (/.f64 -1/2 a)) (/.f64 b_2 (sqrt.f64 a))) (sqrt.f64 a))
(.f64 (/.f64 (.f64 c (/.f64 -1/2 a)) (/.f64 b_2 (pow.f64 (cbrt.f64 a) 2))) (cbrt.f64 a))
(.f64 (/.f64 (pow.f64 a -1/2) (/.f64 (/.f64 b_2 a) (.f64 c -1/2))) (pow.f64 a -1/2))
(.f64 (/.f64 (cbrt.f64 (pow.f64 a -2)) (/.f64 (/.f64 b_2 a) (.f64 c -1/2))) (/.f64 1 (cbrt.f64 a)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 c (/.f64 -1/2 a))) 2) (/.f64 b_2 a)) (cbrt.f64 (*.f64 c (/.f64 -1/2 a))))
(*.f64 (/.f64 (/.f64 c a) (/.f64 b_2 a)) -1/2)
(.f64 (/.f64 (.f64 (/.f64 c a) (/.f64 -1/2 b_2)) 1) a)
(.f64 (/.f64 (.f64 (/.f64 c a) (/.f64 -1/2 b_2)) (pow.f64 a -1/2)) (sqrt.f64 a))
(.f64 (/.f64 (.f64 (/.f64 c a) (/.f64 -1/2 b_2)) -1) (neg.f64 a))
(.f64 (/.f64 (.f64 (/.f64 c a) (/.f64 -1/2 b_2)) (/.f64 1 (pow.f64 (cbrt.f64 a) 2))) (cbrt.f64 a))
(.f64 (/.f64 (.f64 (/.f64 c a) 1/2) -1) (/.f64 a b_2))
(.f64 (/.f64 (.f64 (/.f64 c a) 1/2) b_2) (neg.f64 a))
(.f64 (/.f64 (.f64 (*.f64 c -1/2) (/.f64 a b_2)) 1) (/.f64 1 a))
(.f64 (/.f64 (.f64 (*.f64 c -1/2) (/.f64 a b_2)) (sqrt.f64 a)) (pow.f64 a -1/2))
(.f64 (/.f64 (.f64 (*.f64 c -1/2) (/.f64 a b_2)) (pow.f64 (cbrt.f64 a) 2)) (/.f64 1 (cbrt.f64 a)))
(.f64 (/.f64 (.f64 (*.f64 c -1/2) (/.f64 a b_2)) (neg.f64 a)) -1)
(.f64 (/.f64 (/.f64 (.f64 c -1/2) (*.f64 (sqrt.f64 (/.f64 b_2 a)) a)) 1) (sqrt.f64 (/.f64 a b_2)))
(.f64 (/.f64 (/.f64 (.f64 c -1/2) (*.f64 (sqrt.f64 (/.f64 b_2 a)) a)) (sqrt.f64 b_2)) (sqrt.f64 a))
(.f64 (/.f64 (/.f64 (.f64 c -1/2) (*.f64 (sqrt.f64 (/.f64 b_2 a)) a)) (sqrt.f64 (neg.f64 b_2))) (sqrt.f64 (neg.f64 a)))
(.f64 (/.f64 (/.f64 c (.f64 (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 2) (/.f64 a -1/2))) 1) (cbrt.f64 (/.f64 a b_2)))
(.f64 (/.f64 (/.f64 c (.f64 (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 2) (/.f64 a -1/2))) (cbrt.f64 b_2)) (cbrt.f64 a))
(.f64 (/.f64 (/.f64 c (.f64 (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 2) (/.f64 a -1/2))) (cbrt.f64 (neg.f64 b_2))) (cbrt.f64 (neg.f64 a)))
(.f64 (.f64 (/.f64 c a) (sqrt.f64 (/.f64 a b_2))) (*.f64 -1/2 (sqrt.f64 (/.f64 a b_2))))
(pow.f64 (.f64 a (.f64 (/.f64 c a) (/.f64 -1/2 b_2))) 1)
(pow.f64 (sqrt.f64 (.f64 a (.f64 (/.f64 c a) (/.f64 -1/2 b_2)))) 2)
(pow.f64 (cbrt.f64 (.f64 a (.f64 (/.f64 c a) (/.f64 -1/2 b_2)))) 3)
(pow.f64 (pow.f64 (.f64 a (.f64 (/.f64 c a) (/.f64 -1/2 b_2))) 3) 1/3)
(pow.f64 (.f64 a (/.f64 (/.f64 b_2 a) (.f64 c -1/2))) -1)
(neg.f64 (.f64 (.f64 (/.f64 c a) (/.f64 -1/2 b_2)) (neg.f64 a)))
(neg.f64 (.f64 (.f64 c (/.f64 -1/2 a)) (/.f64 a (neg.f64 b_2))))
(neg.f64 (.f64 (.f64 (*.f64 (/.f64 c a) (/.f64 -1/2 b_2)) (neg.f64 a)) 1))
(neg.f64 (.f64 1 (.f64 (*.f64 (/.f64 c a) (/.f64 -1/2 b_2)) (neg.f64 a))))
(neg.f64 (/.f64 (/.f64 1 a) (.f64 2 (/.f64 b_2 (.f64 c a)))))
(neg.f64 (/.f64 (*.f64 (/.f64 c a) 1/2) (/.f64 b_2 a)))
(sqrt.f64 (pow.f64 (.f64 a (.f64 (/.f64 c a) (/.f64 -1/2 b_2))) 2))
(log.f64 (exp.f64 (.f64 a (.f64 (/.f64 c a) (/.f64 -1/2 b_2)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 a (.f64 (/.f64 c a) (/.f64 -1/2 b_2))))))
(cbrt.f64 (pow.f64 (.f64 a (.f64 (/.f64 c a) (/.f64 -1/2 b_2))) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 c (/.f64 -1/2 a)) 3) (pow.f64 (/.f64 b_2 a) 3)))
(expm1.f64 (log1p.f64 (.f64 a (.f64 (/.f64 c a) (/.f64 -1/2 b_2)))))
(exp.f64 (log.f64 (.f64 a (.f64 (/.f64 c a) (/.f64 -1/2 b_2)))))
(exp.f64 (.f64 (log.f64 (.f64 a (*.f64 (/.f64 c a) (/.f64 -1/2 b_2)))) 1))
(log1p.f64 (expm1.f64 (.f64 a (.f64 (/.f64 c a) (/.f64 -1/2 b_2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 c (/.f64 -1/2 a)))) 1)
(/.f64 1 (*.f64 -2 (/.f64 a c)))
(/.f64 c (/.f64 a -1/2))
(/.f64 c (*.f64 1 (/.f64 a -1/2)))
(/.f64 -1/2 (/.f64 a c))
(/.f64 -1/2 (*.f64 1 (/.f64 a c)))
(/.f64 (*.f64 c -1/2) a)
(/.f64 (*.f64 c (/.f64 -1/2 a)) 1)
(/.f64 (sqrt.f64 (.f64 c -1/2)) (/.f64 a (sqrt.f64 (.f64 c -1/2))))
(/.f64 (sqrt.f64 (.f64 c -1/2)) (.f64 1 (/.f64 a (sqrt.f64 (*.f64 c -1/2)))))
(/.f64 (cbrt.f64 (.f64 (.f64 c c) 1/4)) (/.f64 a (cbrt.f64 (*.f64 c -1/2))))
(/.f64 (cbrt.f64 (.f64 (.f64 c c) 1/4)) (.f64 1 (/.f64 a (cbrt.f64 (.f64 c -1/2)))))
(/.f64 (/.f64 (*.f64 c -1/2) 1) a)
(/.f64 (/.f64 (*.f64 c -1/2) (sqrt.f64 a)) (sqrt.f64 a))
(/.f64 (/.f64 (*.f64 c -1/2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
(/.f64 (*.f64 c 1/2) (neg.f64 a))
(/.f64 (neg.f64 (*.f64 c 1/2)) a)
(pow.f64 (*.f64 c (/.f64 -1/2 a)) 1)
(pow.f64 (sqrt.f64 (*.f64 c (/.f64 -1/2 a))) 2)
(pow.f64 (cbrt.f64 (*.f64 c (/.f64 -1/2 a))) 3)
(pow.f64 (pow.f64 (*.f64 c (/.f64 -1/2 a)) 3) 1/3)
(neg.f64 (*.f64 (/.f64 c a) 1/2))
(neg.f64 (/.f64 (*.f64 c -1/2) (neg.f64 a)))
(sqrt.f64 (pow.f64 (*.f64 c (/.f64 -1/2 a)) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 c a)) -1/2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 c (/.f64 -1/2 a)))))
(cbrt.f64 (pow.f64 (*.f64 c (/.f64 -1/2 a)) 3))
(cbrt.f64 (.f64 (/.f64 1 (pow.f64 a 3)) (pow.f64 (.f64 c -1/2) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 c -1/2) 3) (/.f64 1 (pow.f64 a 3))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 c -1/2) 3) (pow.f64 a 3)))
(expm1.f64 (log1p.f64 (*.f64 c (/.f64 -1/2 a))))
(exp.f64 (log.f64 (*.f64 c (/.f64 -1/2 a))))
(exp.f64 (.f64 (log.f64 (.f64 c (/.f64 -1/2 a))) 1))
(log1p.f64 (expm1.f64 (*.f64 c (/.f64 -1/2 a))))

Outputs
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c a))
(/.f64 c (/.f64 a -1/2))
(*.f64 -1/2 (/.f64 c a))
(/.f64 c (/.f64 a -1/2))
(*.f64 -1/2 (/.f64 c a))
(/.f64 c (/.f64 a -1/2))
(*.f64 -1/2 (/.f64 c a))
(/.f64 c (/.f64 a -1/2))
(*.f64 -1/2 (/.f64 c a))
(/.f64 c (/.f64 a -1/2))
(*.f64 -1/2 (/.f64 c a))
(/.f64 c (/.f64 a -1/2))
(*.f64 -1/2 (/.f64 c a))
(/.f64 c (/.f64 a -1/2))
(*.f64 -1/2 (/.f64 c a))
(/.f64 c (/.f64 a -1/2))
(*.f64 -1/2 (/.f64 c a))
(/.f64 c (/.f64 a -1/2))
(*.f64 -1/2 (/.f64 c a))
(/.f64 c (/.f64 a -1/2))
(*.f64 -1/2 (/.f64 c a))
(/.f64 c (/.f64 a -1/2))
(*.f64 -1/2 (/.f64 c a))
(/.f64 c (/.f64 a -1/2))
(*.f64 -1/2 (/.f64 c a))
(/.f64 c (/.f64 a -1/2))
(*.f64 -1/2 (/.f64 c a))
(/.f64 c (/.f64 a -1/2))
(*.f64 -1/2 (/.f64 c a))
(/.f64 c (/.f64 a -1/2))
(*.f64 -1/2 (/.f64 c a))
(/.f64 c (/.f64 a -1/2))
(*.f64 -1/2 (/.f64 c a))
(/.f64 c (/.f64 a -1/2))
(*.f64 -1/2 (/.f64 c a))
(/.f64 c (/.f64 a -1/2))
(*.f64 -1/2 (/.f64 c a))
(/.f64 c (/.f64 a -1/2))
(*.f64 -1/2 (/.f64 c a))
(/.f64 c (/.f64 a -1/2))
(*.f64 -1/2 (/.f64 c a))
(/.f64 c (/.f64 a -1/2))
(*.f64 -1/2 (/.f64 c a))
(/.f64 c (/.f64 a -1/2))
(*.f64 -1/2 (/.f64 c a))
(/.f64 c (/.f64 a -1/2))
(*.f64 -1/2 (/.f64 c a))
(/.f64 c (/.f64 a -1/2))
(-.f64 (exp.f64 (log1p.f64 (.f64 a (.f64 (/.f64 c a) (/.f64 -1/2 b_2))))) 1)
(*.f64 -1/2 (/.f64 c b_2))
(.f64 1 (.f64 a (*.f64 (/.f64 c a) (/.f64 -1/2 b_2))))
(*.f64 -1/2 (/.f64 c b_2))
(.f64 a (.f64 (/.f64 c a) (/.f64 -1/2 b_2)))
(*.f64 -1/2 (/.f64 c b_2))
(.f64 (/.f64 1 a) (.f64 (*.f64 c -1/2) (/.f64 a b_2)))
(*.f64 -1/2 (/.f64 c b_2))
(.f64 (/.f64 1 a) (/.f64 (.f64 c -1/2) (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 c b_2))
(.f64 (/.f64 1 a) (.f64 (/.f64 a b_2) (*.f64 c -1/2)))
(*.f64 -1/2 (/.f64 c b_2))
(.f64 (.f64 c -1/2) (*.f64 (/.f64 1 a) (/.f64 a b_2)))
(*.f64 -1/2 (/.f64 c b_2))
(.f64 (.f64 c (/.f64 -1/2 a)) (/.f64 a b_2))
(*.f64 -1/2 (/.f64 c b_2))
(.f64 (.f64 a (*.f64 (/.f64 c a) (/.f64 -1/2 b_2))) 1)
(*.f64 -1/2 (/.f64 c b_2))
(.f64 (sqrt.f64 (.f64 a (.f64 (/.f64 c a) (/.f64 -1/2 b_2)))) (sqrt.f64 (.f64 a (*.f64 (/.f64 c a) (/.f64 -1/2 b_2)))))
(*.f64 -1/2 (/.f64 c b_2))
(.f64 (sqrt.f64 (.f64 c (/.f64 -1/2 a))) (.f64 (sqrt.f64 (.f64 c (/.f64 -1/2 a))) (/.f64 a b_2)))
(*.f64 -1/2 (/.f64 c b_2))
(.f64 (cbrt.f64 (.f64 a (.f64 (/.f64 c a) (/.f64 -1/2 b_2)))) (pow.f64 (cbrt.f64 (.f64 a (*.f64 (/.f64 c a) (/.f64 -1/2 b_2)))) 2))
(*.f64 -1/2 (/.f64 c b_2))
(.f64 (pow.f64 (cbrt.f64 (.f64 a (.f64 (/.f64 c a) (/.f64 -1/2 b_2)))) 2) (cbrt.f64 (.f64 a (*.f64 (/.f64 c a) (/.f64 -1/2 b_2)))))
(*.f64 -1/2 (/.f64 c b_2))
(.f64 (pow.f64 (cbrt.f64 (.f64 c (/.f64 -1/2 a))) 2) (.f64 (cbrt.f64 (.f64 c (/.f64 -1/2 a))) (/.f64 a b_2)))
(*.f64 -1/2 (/.f64 c b_2))
(.f64 (/.f64 c a) (.f64 -1/2 (/.f64 a b_2)))
(*.f64 -1/2 (/.f64 c b_2))
(.f64 (.f64 (/.f64 c a) (/.f64 -1/2 b_2)) a)
(*.f64 -1/2 (/.f64 c b_2))
(.f64 (/.f64 a b_2) (.f64 c (/.f64 -1/2 a)))
(*.f64 -1/2 (/.f64 c b_2))
(.f64 (.f64 (/.f64 c a) 1/2) (/.f64 a (neg.f64 b_2)))
(*.f64 -1/2 (/.f64 c b_2))
(.f64 (.f64 (*.f64 (/.f64 c a) (/.f64 -1/2 b_2)) 1) a)
(*.f64 -1/2 (/.f64 c b_2))
(.f64 (.f64 (*.f64 (/.f64 c a) (/.f64 -1/2 b_2)) (sqrt.f64 a)) (sqrt.f64 a))
(*.f64 -1/2 (/.f64 c b_2))
(.f64 (.f64 (*.f64 (/.f64 c a) (/.f64 -1/2 b_2)) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
(*.f64 -1/2 (/.f64 c b_2))
(.f64 (.f64 (sqrt.f64 (.f64 c (/.f64 -1/2 a))) (/.f64 a b_2)) (sqrt.f64 (.f64 c (/.f64 -1/2 a))))
(*.f64 -1/2 (/.f64 c b_2))
(.f64 (/.f64 (.f64 c -1/2) 1) (*.f64 (/.f64 1 a) (/.f64 a b_2)))
(*.f64 -1/2 (/.f64 c b_2))
(.f64 (/.f64 1 b_2) (.f64 (*.f64 c (/.f64 -1/2 a)) a))
(*.f64 -1/2 (/.f64 c b_2))
(.f64 (.f64 1 (sqrt.f64 (/.f64 a b_2))) (/.f64 (.f64 c -1/2) (.f64 (sqrt.f64 (/.f64 b_2 a)) a)))
(/.f64 (.f64 (sqrt.f64 (/.f64 a b_2)) (.f64 -1/2 c)) (*.f64 a (sqrt.f64 (/.f64 b_2 a))))
(*.f64 (sqrt.f64 (/.f64 a b_2)) (/.f64 (/.f64 c (/.f64 a -1/2)) (sqrt.f64 (/.f64 b_2 a))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 2)) (.f64 (*.f64 c (/.f64 -1/2 a)) (cbrt.f64 (/.f64 a b_2))))
(/.f64 (.f64 1 (.f64 c (*.f64 (/.f64 -1/2 a) (cbrt.f64 (/.f64 a b_2))))) (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 2))
(.f64 (/.f64 (.f64 -1/2 c) (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 2)) (/.f64 (cbrt.f64 (/.f64 a b_2)) a))
(.f64 (/.f64 c (.f64 (sqrt.f64 b_2) (/.f64 a -1/2))) (/.f64 a (sqrt.f64 b_2)))
(.f64 (/.f64 c (/.f64 (.f64 (sqrt.f64 b_2) a) -1/2)) (/.f64 a (sqrt.f64 b_2)))
(*.f64 (/.f64 c (/.f64 a -1/2)) (/.f64 (/.f64 a (sqrt.f64 b_2)) (sqrt.f64 b_2)))
(.f64 (/.f64 (.f64 c -1/2) (*.f64 (pow.f64 (cbrt.f64 b_2) 2) a)) (/.f64 a (cbrt.f64 b_2)))
(.f64 (.f64 (/.f64 c (pow.f64 (cbrt.f64 b_2) 2)) (/.f64 -1/2 a)) (/.f64 a (cbrt.f64 b_2)))
(.f64 (.f64 (/.f64 c a) (/.f64 -1/2 (pow.f64 (cbrt.f64 b_2) 2))) (/.f64 a (cbrt.f64 b_2)))
(.f64 (/.f64 (.f64 c -1/2) (/.f64 b_2 a)) (/.f64 1 a))
(*.f64 -1/2 (/.f64 c b_2))
(.f64 (/.f64 (.f64 c -1/2) (sqrt.f64 (/.f64 b_2 a))) (*.f64 (/.f64 1 a) (sqrt.f64 (/.f64 a b_2))))
(/.f64 (.f64 (sqrt.f64 (/.f64 a b_2)) (.f64 -1/2 c)) (*.f64 a (sqrt.f64 (/.f64 b_2 a))))
(*.f64 (sqrt.f64 (/.f64 a b_2)) (/.f64 (/.f64 c (/.f64 a -1/2)) (sqrt.f64 (/.f64 b_2 a))))
(.f64 (.f64 (/.f64 1 a) (/.f64 a b_2)) (*.f64 c -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(.f64 (/.f64 c (.f64 (neg.f64 b_2) (/.f64 a -1/2))) (neg.f64 a))
(*.f64 -1/2 (/.f64 c b_2))
(.f64 (/.f64 1 (neg.f64 b_2)) (.f64 (*.f64 c (/.f64 -1/2 a)) (neg.f64 a)))
(*.f64 -1/2 (/.f64 c b_2))
(.f64 (.f64 (/.f64 a b_2) (*.f64 c -1/2)) (/.f64 1 a))
(*.f64 -1/2 (/.f64 c b_2))
(.f64 (/.f64 1 (.f64 b_2 a)) (/.f64 (*.f64 c -1/2) (/.f64 1 a)))
(*.f64 -1/2 (/.f64 c b_2))
(.f64 (/.f64 1 (.f64 b_2 a)) (.f64 (.f64 c -1/2) a))
(*.f64 -1/2 (/.f64 c b_2))
(.f64 (.f64 (/.f64 1 a) (sqrt.f64 (/.f64 a b_2))) (/.f64 (*.f64 c -1/2) (sqrt.f64 (/.f64 b_2 a))))
(/.f64 (.f64 (sqrt.f64 (/.f64 a b_2)) (.f64 -1/2 c)) (*.f64 a (sqrt.f64 (/.f64 b_2 a))))
(*.f64 (sqrt.f64 (/.f64 a b_2)) (/.f64 (/.f64 c (/.f64 a -1/2)) (sqrt.f64 (/.f64 b_2 a))))
(.f64 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 2) a)) (/.f64 (*.f64 c -1/2) (cbrt.f64 (/.f64 b_2 a))))
(.f64 (/.f64 1 (.f64 a (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 2))) (/.f64 c (/.f64 (cbrt.f64 (/.f64 b_2 a)) -1/2)))
(/.f64 (/.f64 (*.f64 (/.f64 c (cbrt.f64 (/.f64 b_2 a))) -1/2) a) (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 2))
(.f64 (/.f64 (.f64 c -1/2) b_2) (*.f64 (/.f64 1 a) a))
(*.f64 -1/2 (/.f64 c b_2))
(.f64 (/.f64 (.f64 c -1/2) (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 2)) (*.f64 (/.f64 1 a) (cbrt.f64 (/.f64 a b_2))))
(/.f64 (.f64 1 (.f64 c (*.f64 (/.f64 -1/2 a) (cbrt.f64 (/.f64 a b_2))))) (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 2))
(.f64 (/.f64 (.f64 -1/2 c) (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 2)) (/.f64 (cbrt.f64 (/.f64 a b_2)) a))
(.f64 (/.f64 (sqrt.f64 (.f64 c (/.f64 -1/2 a))) b_2) (.f64 (sqrt.f64 (.f64 c (/.f64 -1/2 a))) a))
(*.f64 -1/2 (/.f64 c b_2))
(.f64 (/.f64 (sqrt.f64 (.f64 c (/.f64 -1/2 a))) (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 2)) (.f64 (sqrt.f64 (.f64 c (/.f64 -1/2 a))) (cbrt.f64 (/.f64 a b_2))))
(/.f64 (.f64 1 (.f64 c (*.f64 (/.f64 -1/2 a) (cbrt.f64 (/.f64 a b_2))))) (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 2))
(.f64 (/.f64 (.f64 -1/2 c) (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 2)) (/.f64 (cbrt.f64 (/.f64 a b_2)) a))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 c (/.f64 -1/2 a))) 2) 1) (/.f64 (cbrt.f64 (*.f64 c (/.f64 -1/2 a))) (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 c b_2))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 c (/.f64 -1/2 a))) 2) b_2) (.f64 (/.f64 (cbrt.f64 (.f64 c (/.f64 -1/2 a))) 1) a))
(*.f64 -1/2 (/.f64 c b_2))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 c (/.f64 -1/2 a))) 2) (sqrt.f64 (/.f64 b_2 a))) (/.f64 (cbrt.f64 (*.f64 c (/.f64 -1/2 a))) (sqrt.f64 (/.f64 b_2 a))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 -1/2 (/.f64 c a))) 2) (sqrt.f64 (/.f64 b_2 a))) (/.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c a))) (sqrt.f64 (/.f64 b_2 a))))
(/.f64 (/.f64 (/.f64 c (/.f64 a -1/2)) (sqrt.f64 (/.f64 b_2 a))) (sqrt.f64 (/.f64 b_2 a)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 c (/.f64 -1/2 a))) 2) (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 2)) (cbrt.f64 (.f64 a (.f64 (/.f64 c a) (/.f64 -1/2 b_2)))))
(.f64 (cbrt.f64 (.f64 a (.f64 (/.f64 c a) (/.f64 -1/2 b_2)))) (/.f64 (pow.f64 (cbrt.f64 (.f64 -1/2 (/.f64 c a))) 2) (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 2)))
(.f64 (cbrt.f64 (.f64 -1/2 (/.f64 c b_2))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 c (/.f64 a -1/2))) 2) (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 2)))
(.f64 (/.f64 c (.f64 b_2 a)) (*.f64 -1/2 a))
(*.f64 -1/2 (/.f64 c b_2))
(.f64 (/.f64 c (.f64 (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 2) a)) (*.f64 -1/2 (cbrt.f64 (/.f64 a b_2))))
(/.f64 (.f64 1 (.f64 c (*.f64 (/.f64 -1/2 a) (cbrt.f64 (/.f64 a b_2))))) (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 2))
(.f64 (/.f64 (.f64 -1/2 c) (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 2)) (/.f64 (cbrt.f64 (/.f64 a b_2)) a))
(.f64 (/.f64 a (neg.f64 b_2)) (.f64 (/.f64 c a) 1/2))
(*.f64 -1/2 (/.f64 c b_2))
(.f64 (/.f64 (.f64 c (/.f64 -1/2 a)) -1) (/.f64 a (neg.f64 b_2)))
(*.f64 -1/2 (/.f64 c b_2))
(.f64 (/.f64 (/.f64 1 a) (neg.f64 b_2)) (.f64 (*.f64 c -1/2) (neg.f64 a)))
(*.f64 -1/2 (/.f64 c b_2))
(.f64 (/.f64 1 (/.f64 (/.f64 b_2 a) (sqrt.f64 (.f64 c (/.f64 -1/2 a))))) (sqrt.f64 (*.f64 c (/.f64 -1/2 a))))
(*.f64 -1/2 (/.f64 c b_2))
(.f64 (/.f64 1 (/.f64 (/.f64 b_2 a) (pow.f64 (cbrt.f64 (.f64 c (/.f64 -1/2 a))) 2))) (cbrt.f64 (*.f64 c (/.f64 -1/2 a))))
(*.f64 -1/2 (/.f64 c b_2))
(.f64 (/.f64 1 (.f64 (/.f64 b_2 (*.f64 c a)) a)) -1/2)
(*.f64 -1/2 (/.f64 c b_2))
(.f64 (/.f64 (/.f64 1 a) (/.f64 b_2 (neg.f64 a))) (.f64 c 1/2))
(*.f64 -1/2 (/.f64 c b_2))
(.f64 (/.f64 (/.f64 1 a) (/.f64 b_2 (.f64 c a))) -1/2)
(*.f64 -1/2 (/.f64 c b_2))
(.f64 (/.f64 (/.f64 1 a) (/.f64 b_2 (.f64 -1/2 a))) c)
(*.f64 -1/2 (/.f64 c b_2))
(.f64 (/.f64 (/.f64 1 a) (/.f64 b_2 (.f64 (sqrt.f64 (.f64 c -1/2)) a))) (sqrt.f64 (.f64 c -1/2)))
(.f64 (sqrt.f64 (.f64 -1/2 c)) (.f64 (/.f64 (/.f64 1 a) b_2) (.f64 a (sqrt.f64 (*.f64 -1/2 c)))))
(/.f64 (/.f64 1 a) (/.f64 (/.f64 (/.f64 b_2 a) (sqrt.f64 (.f64 -1/2 c))) (sqrt.f64 (.f64 -1/2 c))))
(.f64 (/.f64 (/.f64 1 a) (/.f64 (/.f64 b_2 a) (cbrt.f64 (.f64 (.f64 c c) 1/4)))) (cbrt.f64 (.f64 c -1/2)))
(.f64 (.f64 (/.f64 (/.f64 1 a) (/.f64 b_2 a)) (cbrt.f64 (.f64 c (.f64 c 1/4)))) (cbrt.f64 (*.f64 -1/2 c)))
(.f64 (.f64 (cbrt.f64 (.f64 c (.f64 c 1/4))) (.f64 (/.f64 1 (.f64 b_2 a)) a)) (cbrt.f64 (*.f64 -1/2 c)))
(.f64 (/.f64 (.f64 c (/.f64 -1/2 a)) (/.f64 b_2 1)) a)
(*.f64 -1/2 (/.f64 c b_2))
(.f64 (/.f64 (.f64 c (/.f64 -1/2 a)) (/.f64 b_2 (sqrt.f64 a))) (sqrt.f64 a))
(*.f64 -1/2 (/.f64 c b_2))
(.f64 (/.f64 (.f64 c (/.f64 -1/2 a)) (/.f64 b_2 (pow.f64 (cbrt.f64 a) 2))) (cbrt.f64 a))
(*.f64 -1/2 (/.f64 c b_2))
(.f64 (/.f64 (pow.f64 a -1/2) (/.f64 (/.f64 b_2 a) (.f64 c -1/2))) (pow.f64 a -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(.f64 (/.f64 (cbrt.f64 (pow.f64 a -2)) (/.f64 (/.f64 b_2 a) (.f64 c -1/2))) (/.f64 1 (cbrt.f64 a)))
(.f64 (.f64 (/.f64 (cbrt.f64 (pow.f64 a -2)) (/.f64 b_2 a)) (*.f64 -1/2 c)) (/.f64 1 (cbrt.f64 a)))
(/.f64 (.f64 (/.f64 (cbrt.f64 (pow.f64 a -2)) b_2) (.f64 a (*.f64 -1/2 c))) (cbrt.f64 a))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 c (/.f64 -1/2 a))) 2) (/.f64 b_2 a)) (cbrt.f64 (*.f64 c (/.f64 -1/2 a))))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 (/.f64 c a) (/.f64 b_2 a)) -1/2)
(*.f64 -1/2 (/.f64 c b_2))
(.f64 (/.f64 (.f64 (/.f64 c a) (/.f64 -1/2 b_2)) 1) a)
(*.f64 -1/2 (/.f64 c b_2))
(.f64 (/.f64 (.f64 (/.f64 c a) (/.f64 -1/2 b_2)) (pow.f64 a -1/2)) (sqrt.f64 a))
(/.f64 (.f64 (/.f64 c a) (.f64 (/.f64 -1/2 b_2) (sqrt.f64 a))) (pow.f64 a -1/2))
(/.f64 (.f64 (/.f64 c a) (/.f64 (.f64 -1/2 (sqrt.f64 a)) b_2)) (pow.f64 a -1/2))
(.f64 (/.f64 (.f64 (/.f64 c a) (/.f64 -1/2 b_2)) -1) (neg.f64 a))
(*.f64 -1/2 (/.f64 c b_2))
(.f64 (/.f64 (.f64 (/.f64 c a) (/.f64 -1/2 b_2)) (/.f64 1 (pow.f64 (cbrt.f64 a) 2))) (cbrt.f64 a))
(*.f64 -1/2 (/.f64 c b_2))
(.f64 (/.f64 (.f64 (/.f64 c a) 1/2) -1) (/.f64 a b_2))
(*.f64 -1/2 (/.f64 c b_2))
(.f64 (/.f64 (.f64 (/.f64 c a) 1/2) b_2) (neg.f64 a))
(*.f64 -1/2 (/.f64 c b_2))
(.f64 (/.f64 (.f64 (*.f64 c -1/2) (/.f64 a b_2)) 1) (/.f64 1 a))
(*.f64 -1/2 (/.f64 c b_2))
(.f64 (/.f64 (.f64 (*.f64 c -1/2) (/.f64 a b_2)) (sqrt.f64 a)) (pow.f64 a -1/2))
(/.f64 (.f64 (.f64 c (*.f64 -1/2 (/.f64 a b_2))) (pow.f64 a -1/2)) (sqrt.f64 a))
(.f64 (pow.f64 a -1/2) (/.f64 -1/2 (/.f64 (.f64 (/.f64 (sqrt.f64 a) a) b_2) c)))
(.f64 (/.f64 (.f64 (*.f64 c -1/2) (/.f64 a b_2)) (pow.f64 (cbrt.f64 a) 2)) (/.f64 1 (cbrt.f64 a)))
(.f64 (/.f64 1 (cbrt.f64 a)) (/.f64 (.f64 -1/2 c) (/.f64 (pow.f64 (cbrt.f64 a) 2) (/.f64 a b_2))))
(/.f64 (/.f64 c (/.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 -1/2 (/.f64 a b_2)))) (cbrt.f64 a))
(.f64 (/.f64 (.f64 (*.f64 c -1/2) (/.f64 a b_2)) (neg.f64 a)) -1)
(*.f64 -1/2 (/.f64 c b_2))
(.f64 (/.f64 (/.f64 (.f64 c -1/2) (*.f64 (sqrt.f64 (/.f64 b_2 a)) a)) 1) (sqrt.f64 (/.f64 a b_2)))
(/.f64 (.f64 (sqrt.f64 (/.f64 a b_2)) (.f64 -1/2 c)) (*.f64 a (sqrt.f64 (/.f64 b_2 a))))
(*.f64 (sqrt.f64 (/.f64 a b_2)) (/.f64 (/.f64 c (/.f64 a -1/2)) (sqrt.f64 (/.f64 b_2 a))))
(.f64 (/.f64 (/.f64 (.f64 c -1/2) (*.f64 (sqrt.f64 (/.f64 b_2 a)) a)) (sqrt.f64 b_2)) (sqrt.f64 a))
(.f64 (sqrt.f64 a) (/.f64 (.f64 -1/2 c) (.f64 (sqrt.f64 b_2) (.f64 a (sqrt.f64 (/.f64 b_2 a))))))
(/.f64 (/.f64 (/.f64 c (/.f64 a -1/2)) (sqrt.f64 (/.f64 b_2 a))) (/.f64 (sqrt.f64 b_2) (sqrt.f64 a)))
(.f64 (/.f64 (/.f64 (.f64 c -1/2) (*.f64 (sqrt.f64 (/.f64 b_2 a)) a)) (sqrt.f64 (neg.f64 b_2))) (sqrt.f64 (neg.f64 a)))
(.f64 (/.f64 (.f64 (/.f64 c (sqrt.f64 (/.f64 b_2 a))) (/.f64 -1/2 a)) (sqrt.f64 (neg.f64 b_2))) (sqrt.f64 (neg.f64 a)))
(*.f64 (/.f64 (/.f64 (/.f64 c (/.f64 a -1/2)) (sqrt.f64 (/.f64 b_2 a))) (sqrt.f64 (neg.f64 b_2))) (sqrt.f64 (neg.f64 a)))
(.f64 (/.f64 (/.f64 c (.f64 (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 2) (/.f64 a -1/2))) 1) (cbrt.f64 (/.f64 a b_2)))
(/.f64 (.f64 1 (.f64 c (*.f64 (/.f64 -1/2 a) (cbrt.f64 (/.f64 a b_2))))) (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 2))
(.f64 (/.f64 (.f64 -1/2 c) (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 2)) (/.f64 (cbrt.f64 (/.f64 a b_2)) a))
(.f64 (/.f64 (/.f64 c (.f64 (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 2) (/.f64 a -1/2))) (cbrt.f64 b_2)) (cbrt.f64 a))
(/.f64 (.f64 (/.f64 c (.f64 (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 2) (/.f64 a -1/2))) (cbrt.f64 a)) (cbrt.f64 b_2))
(.f64 (cbrt.f64 a) (/.f64 (/.f64 c (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 2)) (.f64 (cbrt.f64 b_2) (/.f64 a -1/2))))
(.f64 (/.f64 (/.f64 c (.f64 (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 2) (/.f64 a -1/2))) (cbrt.f64 (neg.f64 b_2))) (cbrt.f64 (neg.f64 a)))
(.f64 (/.f64 c (.f64 (cbrt.f64 (neg.f64 b_2)) (*.f64 (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 2) (/.f64 a -1/2)))) (cbrt.f64 (neg.f64 a)))
(.f64 (/.f64 (/.f64 c (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 2)) (.f64 (cbrt.f64 (neg.f64 b_2)) (/.f64 a -1/2))) (cbrt.f64 (neg.f64 a)))
(.f64 (.f64 (/.f64 c a) (sqrt.f64 (/.f64 a b_2))) (*.f64 -1/2 (sqrt.f64 (/.f64 a b_2))))
(.f64 (/.f64 c a) (.f64 (sqrt.f64 (/.f64 a b_2)) (*.f64 -1/2 (sqrt.f64 (/.f64 a b_2)))))
(.f64 -1/2 (.f64 (sqrt.f64 (/.f64 a b_2)) (*.f64 (/.f64 c a) (sqrt.f64 (/.f64 a b_2)))))
(pow.f64 (.f64 a (.f64 (/.f64 c a) (/.f64 -1/2 b_2))) 1)
(*.f64 -1/2 (/.f64 c b_2))
(pow.f64 (sqrt.f64 (.f64 a (.f64 (/.f64 c a) (/.f64 -1/2 b_2)))) 2)
(*.f64 -1/2 (/.f64 c b_2))
(pow.f64 (cbrt.f64 (.f64 a (.f64 (/.f64 c a) (/.f64 -1/2 b_2)))) 3)
(*.f64 -1/2 (/.f64 c b_2))
(pow.f64 (pow.f64 (.f64 a (.f64 (/.f64 c a) (/.f64 -1/2 b_2))) 3) 1/3)
(*.f64 -1/2 (/.f64 c b_2))
(pow.f64 (.f64 a (/.f64 (/.f64 b_2 a) (.f64 c -1/2))) -1)
(*.f64 -1/2 (/.f64 c b_2))
(neg.f64 (.f64 (.f64 (/.f64 c a) (/.f64 -1/2 b_2)) (neg.f64 a)))
(*.f64 -1/2 (/.f64 c b_2))
(neg.f64 (.f64 (.f64 c (/.f64 -1/2 a)) (/.f64 a (neg.f64 b_2))))
(*.f64 -1/2 (/.f64 c b_2))
(neg.f64 (.f64 (.f64 (*.f64 (/.f64 c a) (/.f64 -1/2 b_2)) (neg.f64 a)) 1))
(*.f64 -1/2 (/.f64 c b_2))
(neg.f64 (.f64 1 (.f64 (*.f64 (/.f64 c a) (/.f64 -1/2 b_2)) (neg.f64 a))))
(*.f64 -1/2 (/.f64 c b_2))
(neg.f64 (/.f64 (/.f64 1 a) (.f64 2 (/.f64 b_2 (.f64 c a)))))
(/.f64 (neg.f64 (/.f64 1 a)) (/.f64 (.f64 2 b_2) (.f64 c a)))
(/.f64 -1 (.f64 2 (.f64 1 (/.f64 b_2 c))))
(neg.f64 (/.f64 (*.f64 (/.f64 c a) 1/2) (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 c b_2))
(sqrt.f64 (pow.f64 (.f64 a (.f64 (/.f64 c a) (/.f64 -1/2 b_2))) 2))
(fabs.f64 (*.f64 -1/2 (/.f64 c b_2)))
(log.f64 (exp.f64 (.f64 a (.f64 (/.f64 c a) (/.f64 -1/2 b_2)))))
(*.f64 -1/2 (/.f64 c b_2))
(log.f64 (+.f64 1 (expm1.f64 (.f64 a (.f64 (/.f64 c a) (/.f64 -1/2 b_2))))))
(*.f64 -1/2 (/.f64 c b_2))
(cbrt.f64 (pow.f64 (.f64 a (.f64 (/.f64 c a) (/.f64 -1/2 b_2))) 3))
(*.f64 -1/2 (/.f64 c b_2))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 c (/.f64 -1/2 a)) 3) (pow.f64 (/.f64 b_2 a) 3)))
(*.f64 -1/2 (/.f64 c b_2))
(expm1.f64 (log1p.f64 (.f64 a (.f64 (/.f64 c a) (/.f64 -1/2 b_2)))))
(*.f64 -1/2 (/.f64 c b_2))
(exp.f64 (log.f64 (.f64 a (.f64 (/.f64 c a) (/.f64 -1/2 b_2)))))
(*.f64 -1/2 (/.f64 c b_2))
(exp.f64 (.f64 (log.f64 (.f64 a (*.f64 (/.f64 c a) (/.f64 -1/2 b_2)))) 1))
(*.f64 -1/2 (/.f64 c b_2))
(log1p.f64 (expm1.f64 (.f64 a (.f64 (/.f64 c a) (/.f64 -1/2 b_2)))))
(*.f64 -1/2 (/.f64 c b_2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 c (/.f64 -1/2 a)))) 1)
(*.f64 -1/2 (/.f64 c a))
(/.f64 c (/.f64 a -1/2))
(/.f64 1 (*.f64 -2 (/.f64 a c)))
(*.f64 -1/2 (/.f64 c a))
(/.f64 c (/.f64 a -1/2))
(/.f64 c (/.f64 a -1/2))
(*.f64 -1/2 (/.f64 c a))
(/.f64 c (*.f64 1 (/.f64 a -1/2)))
(*.f64 -1/2 (/.f64 c a))
(/.f64 c (/.f64 a -1/2))
(/.f64 -1/2 (/.f64 a c))
(*.f64 -1/2 (/.f64 c a))
(/.f64 c (/.f64 a -1/2))
(/.f64 -1/2 (*.f64 1 (/.f64 a c)))
(*.f64 -1/2 (/.f64 c a))
(/.f64 c (/.f64 a -1/2))
(/.f64 (*.f64 c -1/2) a)
(*.f64 -1/2 (/.f64 c a))
(/.f64 c (/.f64 a -1/2))
(/.f64 (*.f64 c (/.f64 -1/2 a)) 1)
(*.f64 -1/2 (/.f64 c a))
(/.f64 c (/.f64 a -1/2))
(/.f64 (sqrt.f64 (.f64 c -1/2)) (/.f64 a (sqrt.f64 (.f64 c -1/2))))
(.f64 (/.f64 (sqrt.f64 (.f64 -1/2 c)) a) (sqrt.f64 (*.f64 -1/2 c)))
(.f64 (sqrt.f64 (.f64 -1/2 c)) (/.f64 (sqrt.f64 (*.f64 -1/2 c)) a))
(/.f64 (sqrt.f64 (.f64 c -1/2)) (.f64 1 (/.f64 a (sqrt.f64 (*.f64 c -1/2)))))
(.f64 (/.f64 (sqrt.f64 (.f64 -1/2 c)) a) (sqrt.f64 (*.f64 -1/2 c)))
(.f64 (sqrt.f64 (.f64 -1/2 c)) (/.f64 (sqrt.f64 (*.f64 -1/2 c)) a))
(/.f64 (cbrt.f64 (.f64 (.f64 c c) 1/4)) (/.f64 a (cbrt.f64 (*.f64 c -1/2))))
(.f64 (/.f64 (cbrt.f64 (.f64 c (.f64 c 1/4))) a) (cbrt.f64 (.f64 -1/2 c)))
(.f64 (cbrt.f64 (.f64 -1/2 c)) (/.f64 (cbrt.f64 (.f64 c (.f64 c 1/4))) a))
(/.f64 (cbrt.f64 (.f64 (.f64 c c) 1/4)) (.f64 1 (/.f64 a (cbrt.f64 (.f64 c -1/2)))))
(.f64 (/.f64 (cbrt.f64 (.f64 c (.f64 c 1/4))) a) (cbrt.f64 (.f64 -1/2 c)))
(.f64 (cbrt.f64 (.f64 -1/2 c)) (/.f64 (cbrt.f64 (.f64 c (.f64 c 1/4))) a))
(/.f64 (/.f64 (*.f64 c -1/2) 1) a)
(*.f64 -1/2 (/.f64 c a))
(/.f64 c (/.f64 a -1/2))
(/.f64 (/.f64 (*.f64 c -1/2) (sqrt.f64 a)) (sqrt.f64 a))
(*.f64 -1/2 (/.f64 c a))
(/.f64 c (/.f64 a -1/2))
(/.f64 (/.f64 (*.f64 c -1/2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
(*.f64 -1/2 (/.f64 c a))
(/.f64 c (/.f64 a -1/2))
(/.f64 (*.f64 c 1/2) (neg.f64 a))
(*.f64 -1/2 (/.f64 c a))
(/.f64 c (/.f64 a -1/2))
(/.f64 (neg.f64 (*.f64 c 1/2)) a)
(*.f64 -1/2 (/.f64 c a))
(/.f64 c (/.f64 a -1/2))
(pow.f64 (*.f64 c (/.f64 -1/2 a)) 1)
(*.f64 -1/2 (/.f64 c a))
(/.f64 c (/.f64 a -1/2))
(pow.f64 (sqrt.f64 (*.f64 c (/.f64 -1/2 a))) 2)
(*.f64 -1/2 (/.f64 c a))
(/.f64 c (/.f64 a -1/2))
(pow.f64 (cbrt.f64 (*.f64 c (/.f64 -1/2 a))) 3)
(*.f64 -1/2 (/.f64 c a))
(/.f64 c (/.f64 a -1/2))
(pow.f64 (pow.f64 (*.f64 c (/.f64 -1/2 a)) 3) 1/3)
(*.f64 -1/2 (/.f64 c a))
(/.f64 c (/.f64 a -1/2))
(neg.f64 (*.f64 (/.f64 c a) 1/2))
(*.f64 -1/2 (/.f64 c a))
(/.f64 c (/.f64 a -1/2))
(neg.f64 (/.f64 (*.f64 c -1/2) (neg.f64 a)))
(*.f64 -1/2 (/.f64 c a))
(/.f64 c (/.f64 a -1/2))
(sqrt.f64 (pow.f64 (*.f64 c (/.f64 -1/2 a)) 2))
(sqrt.f64 (pow.f64 (*.f64 -1/2 (/.f64 c a)) 2))
(fabs.f64 (/.f64 c (/.f64 a -1/2)))
(log.f64 (pow.f64 (exp.f64 (/.f64 c a)) -1/2))
(*.f64 -1/2 (/.f64 c a))
(/.f64 c (/.f64 a -1/2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 c (/.f64 -1/2 a)))))
(*.f64 -1/2 (/.f64 c a))
(/.f64 c (/.f64 a -1/2))
(cbrt.f64 (pow.f64 (*.f64 c (/.f64 -1/2 a)) 3))
(*.f64 -1/2 (/.f64 c a))
(/.f64 c (/.f64 a -1/2))
(cbrt.f64 (.f64 (/.f64 1 (pow.f64 a 3)) (pow.f64 (.f64 c -1/2) 3)))
(*.f64 -1/2 (/.f64 c a))
(/.f64 c (/.f64 a -1/2))
(cbrt.f64 (.f64 (pow.f64 (.f64 c -1/2) 3) (/.f64 1 (pow.f64 a 3))))
(*.f64 -1/2 (/.f64 c a))
(/.f64 c (/.f64 a -1/2))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 c -1/2) 3) (pow.f64 a 3)))
(*.f64 -1/2 (/.f64 c a))
(/.f64 c (/.f64 a -1/2))
(expm1.f64 (log1p.f64 (*.f64 c (/.f64 -1/2 a))))
(*.f64 -1/2 (/.f64 c a))
(/.f64 c (/.f64 a -1/2))
(exp.f64 (log.f64 (*.f64 c (/.f64 -1/2 a))))
(*.f64 -1/2 (/.f64 c a))
(/.f64 c (/.f64 a -1/2))
(exp.f64 (.f64 (log.f64 (.f64 c (/.f64 -1/2 a))) 1))
(*.f64 -1/2 (/.f64 c a))
(/.f64 c (/.f64 a -1/2))
(log1p.f64 (expm1.f64 (*.f64 c (/.f64 -1/2 a))))
(*.f64 -1/2 (/.f64 c a))
(/.f64 c (/.f64 a -1/2))

localize17.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2)
✓	0.2b	(.f64 (/.f64 1 a) (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2))
✓	14.2b	(sqrt.f64 (*.f64 c (neg.f64 a)))

Compiler

Compiled 39 to 13 computations (66.7% saved)

series12.0ms (0.1%)

Counts

3 → 28

Calls

24 calls:

Time	Variable		Point	Expression
5.0ms	a	@	-inf	(.f64 (/.f64 1 a) (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2))
1.0ms	a	@	inf	(.f64 (/.f64 1 a) (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2))
1.0ms	b_2	@	0	(.f64 (/.f64 1 a) (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2))
0.0ms	c	@	inf	(.f64 (/.f64 1 a) (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2))
0.0ms	c	@	-inf	(.f64 (/.f64 1 a) (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2))

rewrite109.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1612×	`associate-*r/`
1242×	`associate-*l/`
804×	`associate-/r*`
562×	`associate-/l*`
272×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	63
1	269	51
2	3584	51

Stop Event

1×	node limit

Counts

3 → 316

Calls

Call 1

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

Outputs

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

simplify488.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

1316×	`times-frac`
1182×	`associate-/l/`
784×	`associate-r`
650×	`associate-l`
622×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	715	16088
1	1794	15852

Stop Event

1×	node limit

Counts

344 → 480

Calls

Call 1

Inputs
(*.f64 -1 (/.f64 b_2 a))
(*.f64 -1 (/.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 (/.f64 b_2 a)))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (.f64 -1 (/.f64 b_2 a)))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (.f64 -1 (/.f64 b_2 a)))
(*.f64 -1 (/.f64 b_2 a))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (.f64 -1 (/.f64 b_2 a)))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (.f64 -1 (/.f64 b_2 a)))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (.f64 -1 (/.f64 b_2 a)))
(*.f64 -1 (/.f64 b_2 a))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (.f64 -1 (/.f64 b_2 a)))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (.f64 -1 (/.f64 b_2 a)))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (.f64 -1 (/.f64 b_2 a)))
(*.f64 -1 b_2)
(*.f64 -1 b_2)
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 b_2))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 b_2))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 b_2))
(*.f64 -1 b_2)
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 b_2))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 b_2))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 b_2))
(*.f64 -1 b_2)
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 b_2))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 b_2))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 b_2))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 c a)))) 1)
(.f64 (sqrt.f64 (.f64 c a)) 1)
(.f64 1 (sqrt.f64 (.f64 c a)))
(.f64 (pow.f64 (.f64 c a) 1/4) (pow.f64 (*.f64 c a) 1/4))
(*.f64 (sqrt.f64 a) (sqrt.f64 c))
(*.f64 (sqrt.f64 c) (sqrt.f64 a))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 c a))) (cbrt.f64 (*.f64 c a)))
(.f64 (cbrt.f64 (.f64 c a)) (cbrt.f64 (sqrt.f64 (*.f64 c a))))
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (.f64 c a) 2))) (sqrt.f64 (cbrt.f64 (*.f64 c a))))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 c a)))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 c a) 2)) 1/2) (pow.f64 (cbrt.f64 (*.f64 c a)) 1/2))
(pow.f64 (*.f64 c a) 1/2)
(pow.f64 (sqrt.f64 (*.f64 c a)) 1)
(pow.f64 (pow.f64 (*.f64 c a) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 c a))) 3)
(pow.f64 (pow.f64 (*.f64 c a) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (*.f64 c a)))
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(.f64 (/.f64 (-.f64 (pow.f64 (.f64 c a) 3/2) (pow.f64 b_2 3)) (+.f64 (pow.f64 (.f64 c a) 3) (pow.f64 (.f64 b_2 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2)) 3))) (+.f64 (pow.f64 (.f64 c a) 2) (-.f64 (.f64 (.f64 b_2 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2)) (.f64 b_2 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2))) (.f64 (.f64 c a) (*.f64 b_2 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2))))))
(/.f64 1 (/.f64 1 (-.f64 (sqrt.f64 (*.f64 c a)) b_2)))
(/.f64 (-.f64 (sqrt.f64 (*.f64 c a)) b_2) 1)
(/.f64 (sqrt.f64 (-.f64 (sqrt.f64 (.f64 c a)) b_2)) (/.f64 1 (sqrt.f64 (-.f64 (sqrt.f64 (.f64 c a)) b_2))))
(/.f64 (cbrt.f64 (-.f64 (sqrt.f64 (.f64 c a)) b_2)) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (.f64 c a)) b_2)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (.f64 c a)) b_2)) 2) (/.f64 1 (cbrt.f64 (-.f64 (sqrt.f64 (.f64 c a)) b_2))))
(/.f64 (-.f64 (.f64 c a) (.f64 b_2 b_2)) (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2))
(/.f64 (-.f64 (.f64 c a) (.f64 b_2 b_2)) (/.f64 1 (/.f64 1 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2))))
(/.f64 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2) (/.f64 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2) (-.f64 (sqrt.f64 (*.f64 c a)) b_2)))
(/.f64 (-.f64 (pow.f64 (.f64 c a) 3/2) (pow.f64 b_2 3)) (fma.f64 c a (.f64 b_2 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2))))
(/.f64 (-.f64 (pow.f64 (.f64 c a) 3/2) (pow.f64 b_2 3)) (/.f64 1 (/.f64 1 (fma.f64 c a (.f64 b_2 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2))))))
(/.f64 (fma.f64 c a (.f64 b_2 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2))) (/.f64 (fma.f64 c a (.f64 b_2 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2))) (-.f64 (sqrt.f64 (*.f64 c a)) b_2)))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 c a) 3/2) (pow.f64 b_2 3))) (/.f64 (fma.f64 c a (.f64 b_2 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2))) (sqrt.f64 (-.f64 (pow.f64 (*.f64 c a) 3/2) (pow.f64 b_2 3)))))
(/.f64 (sqrt.f64 (-.f64 (.f64 c a) (.f64 b_2 b_2))) (/.f64 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2) (sqrt.f64 (-.f64 (.f64 c a) (.f64 b_2 b_2)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 c a) 3/2) (pow.f64 b_2 3))) (cbrt.f64 (-.f64 (pow.f64 (.f64 c a) 3/2) (pow.f64 b_2 3)))) (/.f64 (fma.f64 c a (.f64 b_2 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2))) (cbrt.f64 (-.f64 (pow.f64 (*.f64 c a) 3/2) (pow.f64 b_2 3)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (.f64 c a) (.f64 b_2 b_2))) (cbrt.f64 (-.f64 (.f64 c a) (.f64 b_2 b_2)))) (/.f64 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2) (cbrt.f64 (-.f64 (.f64 c a) (*.f64 b_2 b_2)))))
(/.f64 (+.f64 (sqrt.f64 b_2) (pow.f64 (.f64 c a) 1/4)) (/.f64 1 (-.f64 (pow.f64 (.f64 c a) 1/4) (sqrt.f64 b_2))))
(/.f64 (-.f64 (.f64 c a) (.f64 (neg.f64 b_2) (neg.f64 b_2))) (-.f64 (sqrt.f64 (*.f64 c a)) (neg.f64 b_2)))
(/.f64 (+.f64 (pow.f64 (.f64 c a) 3/2) (pow.f64 (neg.f64 b_2) 3)) (-.f64 (+.f64 (.f64 c a) (.f64 (neg.f64 b_2) (neg.f64 b_2))) (.f64 (sqrt.f64 (*.f64 c a)) (neg.f64 b_2))))
(/.f64 (.f64 (-.f64 (.f64 c a) (*.f64 b_2 b_2)) 1) (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 c a) 3/2) (pow.f64 b_2 3)) 1) (fma.f64 c a (*.f64 b_2 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2))))
(/.f64 (neg.f64 (-.f64 (.f64 c a) (.f64 b_2 b_2))) (neg.f64 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 c a) 3/2) (pow.f64 b_2 3))) (neg.f64 (fma.f64 c a (.f64 b_2 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2)))))
(/.f64 (.f64 1 (-.f64 (.f64 c a) (.f64 (neg.f64 b_2) (neg.f64 b_2)))) (-.f64 (sqrt.f64 (.f64 c a)) (neg.f64 b_2)))
(/.f64 (.f64 1 (+.f64 (pow.f64 (.f64 c a) 3/2) (pow.f64 (neg.f64 b_2) 3))) (-.f64 (+.f64 (.f64 c a) (.f64 (neg.f64 b_2) (neg.f64 b_2))) (.f64 (sqrt.f64 (.f64 c a)) (neg.f64 b_2))))
(/.f64 (.f64 1 (neg.f64 (-.f64 (.f64 c a) (*.f64 b_2 b_2)))) (neg.f64 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2)))
(/.f64 (.f64 1 (neg.f64 (-.f64 (pow.f64 (.f64 c a) 3/2) (pow.f64 b_2 3)))) (neg.f64 (fma.f64 c a (*.f64 b_2 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2)))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (sqrt.f64 (.f64 c a)) b_2)) (sqrt.f64 (-.f64 (pow.f64 (.f64 c a) 3/2) (pow.f64 b_2 3)))) (sqrt.f64 (fma.f64 c a (.f64 b_2 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2)))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (sqrt.f64 (.f64 c a)) b_2)) (sqrt.f64 (-.f64 (.f64 c a) (.f64 b_2 b_2)))) (sqrt.f64 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2)))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (.f64 c a)) b_2)) 2) (cbrt.f64 (-.f64 (pow.f64 (.f64 c a) 3/2) (pow.f64 b_2 3)))) (cbrt.f64 (fma.f64 c a (.f64 b_2 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2)))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (.f64 c a)) b_2)) 2) (cbrt.f64 (-.f64 (.f64 c a) (.f64 b_2 b_2)))) (cbrt.f64 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2)))
(/.f64 (.f64 (-.f64 (.f64 c a) (.f64 (neg.f64 b_2) (neg.f64 b_2))) 1) (-.f64 (sqrt.f64 (.f64 c a)) (neg.f64 b_2)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 c a) 3/2) (pow.f64 (neg.f64 b_2) 3)) 1) (-.f64 (+.f64 (.f64 c a) (.f64 (neg.f64 b_2) (neg.f64 b_2))) (.f64 (sqrt.f64 (.f64 c a)) (neg.f64 b_2))))
(/.f64 (.f64 (neg.f64 (-.f64 (.f64 c a) (*.f64 b_2 b_2))) 1) (neg.f64 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2)))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 (.f64 c a) 3/2) (pow.f64 b_2 3))) 1) (neg.f64 (fma.f64 c a (*.f64 b_2 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2)))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 c a) 3/2) (pow.f64 b_2 3))) (sqrt.f64 (-.f64 (sqrt.f64 (.f64 c a)) b_2))) (sqrt.f64 (fma.f64 c a (.f64 b_2 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2)))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (.f64 c a) (.f64 b_2 b_2))) (sqrt.f64 (-.f64 (sqrt.f64 (.f64 c a)) b_2))) (sqrt.f64 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2)))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 c a) 3/2) (pow.f64 b_2 3))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (.f64 c a)) b_2)) 2)) (cbrt.f64 (fma.f64 c a (.f64 b_2 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (.f64 c a) (.f64 b_2 b_2))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (.f64 c a)) b_2)) 2)) (cbrt.f64 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 c a) 2) (.f64 (.f64 b_2 b_2) (.f64 b_2 b_2))) (/.f64 1 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2))) (+.f64 (.f64 c a) (*.f64 b_2 b_2)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 c a) 3) (pow.f64 (.f64 b_2 b_2) 3)) (/.f64 1 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2))) (+.f64 (+.f64 (pow.f64 (.f64 c a) 2) (.f64 (.f64 b_2 b_2) (.f64 b_2 b_2))) (.f64 (.f64 c a) (.f64 b_2 b_2))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 c a) 3) (.f64 (pow.f64 b_2 3) (pow.f64 b_2 3))) (/.f64 1 (fma.f64 c a (.f64 b_2 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2))))) (+.f64 (pow.f64 (*.f64 c a) 3/2) (pow.f64 b_2 3)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (.f64 c a) 3/2) 3) (pow.f64 (pow.f64 b_2 3) 3)) (/.f64 1 (fma.f64 c a (.f64 b_2 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2))))) (+.f64 (+.f64 (pow.f64 (.f64 c a) 3) (.f64 (pow.f64 b_2 3) (pow.f64 b_2 3))) (.f64 (pow.f64 (*.f64 c a) 3/2) (pow.f64 b_2 3))))
(/.f64 (/.f64 (-.f64 (.f64 c a) (.f64 b_2 b_2)) 1) (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2))
(/.f64 (/.f64 (-.f64 (.f64 c a) (.f64 b_2 b_2)) (sqrt.f64 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2))) (sqrt.f64 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2)))
(/.f64 (/.f64 (-.f64 (.f64 c a) (.f64 b_2 b_2)) (*.f64 (cbrt.f64 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2)) (cbrt.f64 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2)))) (cbrt.f64 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2)))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 c a) 3/2) (pow.f64 b_2 3)) 1) (fma.f64 c a (.f64 b_2 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 c a) 3/2) (pow.f64 b_2 3)) (sqrt.f64 (fma.f64 c a (.f64 b_2 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2))))) (sqrt.f64 (fma.f64 c a (*.f64 b_2 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 c a) 3/2) (pow.f64 b_2 3)) (.f64 (cbrt.f64 (fma.f64 c a (.f64 b_2 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2)))) (cbrt.f64 (fma.f64 c a (.f64 b_2 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2)))))) (cbrt.f64 (fma.f64 c a (*.f64 b_2 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2)))))
(pow.f64 (-.f64 (sqrt.f64 (*.f64 c a)) b_2) 1)
(pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (*.f64 c a)) b_2)) 2)
(pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (*.f64 c a)) b_2)) 3)
(pow.f64 (pow.f64 (-.f64 (sqrt.f64 (*.f64 c a)) b_2) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (sqrt.f64 (*.f64 c a)) b_2) 2))
(log.f64 (exp.f64 (-.f64 (sqrt.f64 (*.f64 c a)) b_2)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (*.f64 c a)) b_2))))
(cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (*.f64 c a)) b_2) 3))
(expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 (*.f64 c a)) b_2)))
(exp.f64 (log.f64 (-.f64 (sqrt.f64 (*.f64 c a)) b_2)))
(exp.f64 (.f64 (log.f64 (-.f64 (sqrt.f64 (.f64 c a)) b_2)) 1))
(log1p.f64 (expm1.f64 (-.f64 (sqrt.f64 (*.f64 c a)) b_2)))
(fma.f64 1 (sqrt.f64 (*.f64 c a)) (neg.f64 b_2))
(fma.f64 (pow.f64 (.f64 c a) 1/4) (pow.f64 (.f64 c a) 1/4) (neg.f64 b_2))
(fma.f64 (sqrt.f64 c) (sqrt.f64 a) (neg.f64 b_2))
(fma.f64 (cbrt.f64 (.f64 c a)) (cbrt.f64 (sqrt.f64 (.f64 c a))) (neg.f64 b_2))

Outputs
(*.f64 -1 (/.f64 b_2 a))
(/.f64 (neg.f64 b_2) a)
(*.f64 -1 (/.f64 b_2 a))
(/.f64 (neg.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 (/.f64 b_2 a)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (/.f64 (neg.f64 b_2) a))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (/.f64 b_2 a))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (.f64 -1 (/.f64 b_2 a)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (/.f64 (neg.f64 b_2) a))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (/.f64 b_2 a))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (.f64 -1 (/.f64 b_2 a)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (/.f64 (neg.f64 b_2) a))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (/.f64 b_2 a))
(*.f64 -1 (/.f64 b_2 a))
(/.f64 (neg.f64 b_2) a)
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (.f64 -1 (/.f64 b_2 a)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (/.f64 (neg.f64 b_2) a))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (/.f64 b_2 a))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (.f64 -1 (/.f64 b_2 a)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (/.f64 (neg.f64 b_2) a))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (/.f64 b_2 a))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (.f64 -1 (/.f64 b_2 a)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (/.f64 (neg.f64 b_2) a))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (/.f64 b_2 a))
(*.f64 -1 (/.f64 b_2 a))
(/.f64 (neg.f64 b_2) a)
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (.f64 -1 (/.f64 b_2 a)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (/.f64 (neg.f64 b_2) a))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (/.f64 b_2 a))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (.f64 -1 (/.f64 b_2 a)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (/.f64 (neg.f64 b_2) a))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (/.f64 b_2 a))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (.f64 -1 (/.f64 b_2 a)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (/.f64 (neg.f64 b_2) a))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (/.f64 b_2 a))
(*.f64 -1 b_2)
(neg.f64 b_2)
(*.f64 -1 b_2)
(neg.f64 b_2)
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))
(.f64 (sqrt.f64 -1) (sqrt.f64 (.f64 a c)))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 b_2))
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 -1) (neg.f64 b_2))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 b_2))
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 -1) (neg.f64 b_2))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 b_2))
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 -1) (neg.f64 b_2))
(*.f64 -1 b_2)
(neg.f64 b_2)
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 b_2))
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 -1) (neg.f64 b_2))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 b_2))
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 -1) (neg.f64 b_2))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 b_2))
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 -1) (neg.f64 b_2))
(*.f64 -1 b_2)
(neg.f64 b_2)
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 b_2))
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 -1) (neg.f64 b_2))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 b_2))
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 -1) (neg.f64 b_2))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 b_2))
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 -1) (neg.f64 b_2))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 c a)))) 1)
(sqrt.f64 (*.f64 a c))
(.f64 (sqrt.f64 (.f64 c a)) 1)
(sqrt.f64 (*.f64 a c))
(.f64 1 (sqrt.f64 (.f64 c a)))
(sqrt.f64 (*.f64 a c))
(.f64 (pow.f64 (.f64 c a) 1/4) (pow.f64 (*.f64 c a) 1/4))
(sqrt.f64 (*.f64 a c))
(*.f64 (sqrt.f64 a) (sqrt.f64 c))
(*.f64 (sqrt.f64 c) (sqrt.f64 a))
(*.f64 (sqrt.f64 a) (sqrt.f64 c))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 c a))) (cbrt.f64 (*.f64 c a)))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 a c))) (cbrt.f64 (*.f64 a c)))
(.f64 (cbrt.f64 (.f64 c a)) (cbrt.f64 (sqrt.f64 (*.f64 c a))))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 a c))) (cbrt.f64 (*.f64 a c)))
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (.f64 c a) 2))) (sqrt.f64 (cbrt.f64 (*.f64 c a))))
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (.f64 a c) 2))) (sqrt.f64 (cbrt.f64 (*.f64 a c))))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 c a)))
(sqrt.f64 (*.f64 a c))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 c a) 2)) 1/2) (pow.f64 (cbrt.f64 (*.f64 c a)) 1/2))
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (.f64 a c) 2))) (sqrt.f64 (cbrt.f64 (*.f64 a c))))
(pow.f64 (*.f64 c a) 1/2)
(sqrt.f64 (*.f64 a c))
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(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 c a) 3/2) (pow.f64 b_2 3)) (sqrt.f64 (fma.f64 c a (.f64 b_2 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2))))) (sqrt.f64 (fma.f64 c a (*.f64 b_2 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2)))))
(/.f64 (-.f64 (pow.f64 (.f64 a c) 3/2) (pow.f64 b_2 3)) (.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2)))) (sqrt.f64 (fma.f64 c a (.f64 b_2 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 c a) 3/2) (pow.f64 b_2 3)) (.f64 (cbrt.f64 (fma.f64 c a (.f64 b_2 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2)))) (cbrt.f64 (fma.f64 c a (.f64 b_2 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2)))))) (cbrt.f64 (fma.f64 c a (*.f64 b_2 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2)))))
(/.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (.f64 a c) 3/2) (pow.f64 b_2 3)) (cbrt.f64 (fma.f64 c a (.f64 b_2 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2))))) (cbrt.f64 (fma.f64 c a (.f64 b_2 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2))))) (cbrt.f64 (fma.f64 c a (.f64 b_2 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2)))))
(/.f64 (-.f64 (pow.f64 (.f64 a c) 3/2) (pow.f64 b_2 3)) (.f64 (cbrt.f64 (fma.f64 c a (.f64 b_2 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2)))) (.f64 (cbrt.f64 (fma.f64 c a (.f64 b_2 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2)))) (cbrt.f64 (fma.f64 c a (.f64 b_2 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2)))))))
(pow.f64 (-.f64 (sqrt.f64 (*.f64 c a)) b_2) 1)
(-.f64 (sqrt.f64 (*.f64 a c)) b_2)
(pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (*.f64 c a)) b_2)) 2)
(-.f64 (sqrt.f64 (*.f64 a c)) b_2)
(pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (*.f64 c a)) b_2)) 3)
(-.f64 (sqrt.f64 (*.f64 a c)) b_2)
(pow.f64 (pow.f64 (-.f64 (sqrt.f64 (*.f64 c a)) b_2) 3) 1/3)
(-.f64 (sqrt.f64 (*.f64 a c)) b_2)
(sqrt.f64 (pow.f64 (-.f64 (sqrt.f64 (*.f64 c a)) b_2) 2))
(sqrt.f64 (pow.f64 (-.f64 (sqrt.f64 (*.f64 a c)) b_2) 2))
(log.f64 (exp.f64 (-.f64 (sqrt.f64 (*.f64 c a)) b_2)))
(-.f64 (sqrt.f64 (*.f64 a c)) b_2)
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (*.f64 c a)) b_2))))
(-.f64 (sqrt.f64 (*.f64 a c)) b_2)
(cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (*.f64 c a)) b_2) 3))
(-.f64 (sqrt.f64 (*.f64 a c)) b_2)
(expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 (*.f64 c a)) b_2)))
(-.f64 (sqrt.f64 (*.f64 a c)) b_2)
(exp.f64 (log.f64 (-.f64 (sqrt.f64 (*.f64 c a)) b_2)))
(-.f64 (sqrt.f64 (*.f64 a c)) b_2)
(exp.f64 (.f64 (log.f64 (-.f64 (sqrt.f64 (.f64 c a)) b_2)) 1))
(-.f64 (sqrt.f64 (*.f64 a c)) b_2)
(log1p.f64 (expm1.f64 (-.f64 (sqrt.f64 (*.f64 c a)) b_2)))
(-.f64 (sqrt.f64 (*.f64 a c)) b_2)
(fma.f64 1 (sqrt.f64 (*.f64 c a)) (neg.f64 b_2))
(-.f64 (sqrt.f64 (*.f64 a c)) b_2)
(fma.f64 (pow.f64 (.f64 c a) 1/4) (pow.f64 (.f64 c a) 1/4) (neg.f64 b_2))
(-.f64 (sqrt.f64 (*.f64 a c)) b_2)
(fma.f64 (sqrt.f64 c) (sqrt.f64 a) (neg.f64 b_2))
(fma.f64 (cbrt.f64 (.f64 c a)) (cbrt.f64 (sqrt.f64 (.f64 c a))) (neg.f64 b_2))
(fma.f64 (cbrt.f64 (.f64 a c)) (cbrt.f64 (sqrt.f64 (.f64 a c))) (neg.f64 b_2))

localize61.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (/.f64 1 a) (-.f64 (cbrt.f64 (pow.f64 (.f64 b_2 b_2) 3/2)) b_2))
✓	0.1b	(pow.f64 (*.f64 b_2 b_2) 3/2)
✓	39.6b	(cbrt.f64 (pow.f64 (*.f64 b_2 b_2) 3/2))

Compiler

Compiled 44 to 24 computations (45.5% saved)

series109.0ms (0.7%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
47.0ms	b_2	@	inf	(.f64 (/.f64 1 a) (-.f64 (cbrt.f64 (pow.f64 (.f64 b_2 b_2) 3/2)) b_2))
28.0ms	b_2	@	0	(pow.f64 (*.f64 b_2 b_2) 3/2)
15.0ms	a	@	0	(.f64 (/.f64 1 a) (-.f64 (cbrt.f64 (pow.f64 (.f64 b_2 b_2) 3/2)) b_2))
10.0ms	b_2	@	0	(.f64 (/.f64 1 a) (-.f64 (cbrt.f64 (pow.f64 (.f64 b_2 b_2) 3/2)) b_2))
6.0ms	b_2	@	inf	(pow.f64 (*.f64 b_2 b_2) 3/2)

rewrite105.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1176×	`associate-*r/`
1014×	`*-commutative`
836×	`associate-*l/`
564×	`distribute-lft-in`
544×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	59
1	273	21
2	3589	21

Stop Event

1×	node limit

Counts

3 → 196

Calls

Call 1

Inputs
(cbrt.f64 (pow.f64 (*.f64 b_2 b_2) 3/2))
(pow.f64 (*.f64 b_2 b_2) 3/2)
(.f64 (/.f64 1 a) (-.f64 (cbrt.f64 (pow.f64 (.f64 b_2 b_2) 3/2)) b_2))

Outputs

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

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

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

simplify68.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1836×	`associate-/r/`
942×	`associate-/l*`
654×	`times-frac`
610×	`associate-r`
512×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	486	934
1	1449	844
2	6014	844

Stop Event

1×	node limit

Counts

244 → 214

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)
(pow.f64 b_2 3)
(pow.f64 b_2 3)
(pow.f64 b_2 3)
(pow.f64 b_2 3)
(pow.f64 b_2 3)
(pow.f64 b_2 3)
(pow.f64 b_2 3)
(pow.f64 b_2 3)
(*.f64 -1 (pow.f64 b_2 3))
(*.f64 -1 (pow.f64 b_2 3))
(*.f64 -1 (pow.f64 b_2 3))
(*.f64 -1 (pow.f64 b_2 3))
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
(*.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 (exp.f64 (log1p.f64 b_2)) 1)
(*.f64 b_2 1)
(*.f64 b_2 (pow.f64 1 1/3))
(*.f64 1 b_2)
(*.f64 (sqrt.f64 b_2) (sqrt.f64 b_2))
(*.f64 (cbrt.f64 b_2) (pow.f64 (cbrt.f64 b_2) 2))
(*.f64 (pow.f64 (cbrt.f64 b_2) 2) (cbrt.f64 b_2))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 b_2 4))) (sqrt.f64 (pow.f64 (cbrt.f64 b_2) 2)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 b_2) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 b_2 4))))
(*.f64 (pow.f64 1 1/3) b_2)
(*.f64 (pow.f64 (pow.f64 b_2 3/2) 1/3) (pow.f64 (pow.f64 b_2 3/2) 1/3))
(pow.f64 b_2 1)
(pow.f64 (*.f64 b_2 b_2) 1/2)
(pow.f64 (pow.f64 b_2 3) 1/3)
(pow.f64 (sqrt.f64 b_2) 2)
(pow.f64 (cbrt.f64 b_2) 3)
(sqrt.f64 (*.f64 b_2 b_2))
(fabs.f64 b_2)
(log.f64 (exp.f64 b_2))
(log.f64 (+.f64 1 (expm1.f64 b_2)))
(expm1.f64 (log1p.f64 b_2))
(exp.f64 (log.f64 b_2))
(log1p.f64 (expm1.f64 b_2))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 b_2 3))) 1)
(.f64 b_2 (.f64 b_2 b_2))
(.f64 (.f64 b_2 b_2) b_2)
(*.f64 (pow.f64 b_2 3) 1)
(*.f64 (pow.f64 b_2 3) (pow.f64 1 3/2))
(*.f64 1 (pow.f64 b_2 3))
(.f64 (sqrt.f64 b_2) (.f64 (*.f64 b_2 b_2) (sqrt.f64 b_2)))
(*.f64 (pow.f64 b_2 3/2) (pow.f64 b_2 3/2))
(.f64 (cbrt.f64 (pow.f64 b_2 4)) (.f64 b_2 (pow.f64 (cbrt.f64 b_2) 2)))
(.f64 (cbrt.f64 b_2) (.f64 (*.f64 b_2 b_2) (pow.f64 (cbrt.f64 b_2) 2)))
(.f64 (.f64 b_2 (pow.f64 (cbrt.f64 b_2) 2)) (cbrt.f64 (pow.f64 b_2 4)))
(.f64 (.f64 (*.f64 b_2 b_2) (pow.f64 (cbrt.f64 b_2) 2)) (cbrt.f64 b_2))
(.f64 (.f64 (*.f64 b_2 b_2) (sqrt.f64 b_2)) (sqrt.f64 b_2))
(*.f64 (pow.f64 (sqrt.f64 b_2) 3) (pow.f64 (sqrt.f64 b_2) 3))
(*.f64 (pow.f64 1 3/2) (pow.f64 b_2 3))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 b_2 4)) 3/2) (pow.f64 (pow.f64 (cbrt.f64 b_2) 2) 3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 b_2) 2) 3/2) (pow.f64 (cbrt.f64 (pow.f64 b_2 4)) 3/2))
(sqrt.f64 (pow.f64 (pow.f64 b_2 4) 3/2))
(log.f64 (exp.f64 (pow.f64 b_2 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 b_2 3))))
(cbrt.f64 (pow.f64 (pow.f64 b_2 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 b_2 3)))
(exp.f64 (log.f64 (pow.f64 b_2 3)))
(exp.f64 (*.f64 (log.f64 b_2) 3))
(log1p.f64 (expm1.f64 (pow.f64 b_2 3)))
(+.f64 (/.f64 (-.f64 b_2 b_2) a) (*.f64 (/.f64 1 a) (fma.f64 (neg.f64 b_2) 1 b_2)))
(+.f64 (/.f64 (-.f64 b_2 b_2) a) (*.f64 (/.f64 1 a) (fma.f64 (neg.f64 (sqrt.f64 b_2)) (sqrt.f64 b_2) b_2)))
(+.f64 (/.f64 (-.f64 b_2 b_2) a) (*.f64 (/.f64 1 a) (fma.f64 (neg.f64 (cbrt.f64 b_2)) (pow.f64 (cbrt.f64 b_2) 2) b_2)))
(+.f64 (/.f64 b_2 a) (/.f64 (neg.f64 b_2) a))
(+.f64 (/.f64 (neg.f64 b_2) a) (/.f64 b_2 a))
(+.f64 (.f64 1 (/.f64 b_2 a)) (.f64 1 (/.f64 (neg.f64 b_2) a)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 b_2 b_2) a))) 1)
(-.f64 (/.f64 b_2 a) (/.f64 b_2 a))
(/.f64 1 (/.f64 a (-.f64 b_2 b_2)))
(/.f64 1 (/.f64 (.f64 a (+.f64 b_2 b_2)) (.f64 b_2 (-.f64 b_2 b_2))))
(/.f64 1 (/.f64 (.f64 a (fma.f64 b_2 b_2 (.f64 b_2 (+.f64 b_2 b_2)))) (-.f64 (pow.f64 b_2 3) (pow.f64 b_2 3))))
(/.f64 (/.f64 1 a) (/.f64 1 (-.f64 b_2 b_2)))
(/.f64 (-.f64 b_2 b_2) a)
(/.f64 (-.f64 b_2 b_2) (neg.f64 (neg.f64 a)))
(/.f64 (/.f64 (-.f64 b_2 b_2) a) 1)
(/.f64 (sqrt.f64 (-.f64 b_2 b_2)) (/.f64 a (sqrt.f64 (-.f64 b_2 b_2))))
(/.f64 (cbrt.f64 (-.f64 b_2 b_2)) (/.f64 a (pow.f64 (cbrt.f64 (-.f64 b_2 b_2)) 2)))
(/.f64 (cbrt.f64 (-.f64 b_2 b_2)) (/.f64 (/.f64 a (sqrt.f64 (-.f64 b_2 b_2))) (cbrt.f64 (sqrt.f64 (-.f64 b_2 b_2)))))
(/.f64 (cbrt.f64 (-.f64 b_2 b_2)) (/.f64 (/.f64 a (cbrt.f64 (-.f64 b_2 b_2))) (cbrt.f64 (-.f64 b_2 b_2))))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 b_2 b_2)) 2) (/.f64 a (cbrt.f64 (-.f64 b_2 b_2))))
(/.f64 (.f64 b_2 (-.f64 b_2 b_2)) (.f64 a (+.f64 b_2 b_2)))
(/.f64 (*.f64 b_2 (-.f64 b_2 b_2)) (/.f64 a (/.f64 1 (+.f64 b_2 b_2))))
(/.f64 (+.f64 b_2 b_2) (/.f64 (*.f64 a (+.f64 b_2 b_2)) (-.f64 b_2 b_2)))
(/.f64 (-.f64 (pow.f64 b_2 3) (pow.f64 b_2 3)) (.f64 a (fma.f64 b_2 b_2 (.f64 b_2 (+.f64 b_2 b_2)))))
(/.f64 (-.f64 (pow.f64 b_2 3) (pow.f64 b_2 3)) (/.f64 a (/.f64 1 (fma.f64 b_2 b_2 (*.f64 b_2 (+.f64 b_2 b_2))))))
(/.f64 (fma.f64 b_2 b_2 (.f64 b_2 (+.f64 b_2 b_2))) (/.f64 (.f64 a (fma.f64 b_2 b_2 (*.f64 b_2 (+.f64 b_2 b_2)))) (-.f64 b_2 b_2)))
(/.f64 -1 (/.f64 (neg.f64 a) (-.f64 b_2 b_2)))
(/.f64 -1 (/.f64 (.f64 (+.f64 b_2 b_2) (neg.f64 a)) (.f64 b_2 (-.f64 b_2 b_2))))
(/.f64 -1 (/.f64 (.f64 (fma.f64 b_2 b_2 (.f64 b_2 (+.f64 b_2 b_2))) (neg.f64 a)) (-.f64 (pow.f64 b_2 3) (pow.f64 b_2 3))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 3) (pow.f64 b_2 3))) (/.f64 (.f64 a (fma.f64 b_2 b_2 (.f64 b_2 (+.f64 b_2 b_2)))) (sqrt.f64 (-.f64 (pow.f64 b_2 3) (pow.f64 b_2 3)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 3) (pow.f64 b_2 3))) (.f64 (/.f64 a (sqrt.f64 (-.f64 b_2 b_2))) (sqrt.f64 (fma.f64 b_2 b_2 (.f64 b_2 (+.f64 b_2 b_2))))))
(/.f64 (sqrt.f64 (.f64 b_2 (-.f64 b_2 b_2))) (/.f64 (.f64 a (+.f64 b_2 b_2)) (sqrt.f64 (*.f64 b_2 (-.f64 b_2 b_2)))))
(/.f64 (sqrt.f64 (.f64 b_2 (-.f64 b_2 b_2))) (.f64 (/.f64 a (sqrt.f64 (-.f64 b_2 b_2))) (sqrt.f64 (+.f64 b_2 b_2))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 b_2 b_2)) 2)) (/.f64 (/.f64 a (sqrt.f64 (-.f64 b_2 b_2))) (sqrt.f64 (cbrt.f64 (-.f64 b_2 b_2)))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 b_2 b_2)) 2)) (/.f64 (/.f64 a (cbrt.f64 (-.f64 b_2 b_2))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 b_2 b_2)) 2))))
(/.f64 (sqrt.f64 (sqrt.f64 (-.f64 b_2 b_2))) (/.f64 (/.f64 a (sqrt.f64 (-.f64 b_2 b_2))) (sqrt.f64 (sqrt.f64 (-.f64 b_2 b_2)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 b_2 3) (pow.f64 b_2 3))) (cbrt.f64 (-.f64 (pow.f64 b_2 3) (pow.f64 b_2 3)))) (/.f64 (.f64 a (fma.f64 b_2 b_2 (*.f64 b_2 (+.f64 b_2 b_2)))) (cbrt.f64 (-.f64 (pow.f64 b_2 3) (pow.f64 b_2 3)))))
(/.f64 (.f64 (cbrt.f64 (.f64 b_2 (-.f64 b_2 b_2))) (cbrt.f64 (.f64 b_2 (-.f64 b_2 b_2)))) (/.f64 (.f64 a (+.f64 b_2 b_2)) (cbrt.f64 (*.f64 b_2 (-.f64 b_2 b_2)))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 b_2 b_2)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 b_2 b_2)) 2))) (/.f64 (/.f64 a (cbrt.f64 (-.f64 b_2 b_2))) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 b_2 b_2)) 2))))
(/.f64 (*.f64 (-.f64 b_2 b_2) (cbrt.f64 (pow.f64 a -2))) (cbrt.f64 a))
(/.f64 (/.f64 (-.f64 b_2 b_2) (cbrt.f64 a)) (pow.f64 (cbrt.f64 a) 2))
(/.f64 (/.f64 (*.f64 b_2 (-.f64 b_2 b_2)) a) (+.f64 b_2 b_2))
(/.f64 (/.f64 (-.f64 (pow.f64 b_2 3) (pow.f64 b_2 3)) a) (fma.f64 b_2 b_2 (*.f64 b_2 (+.f64 b_2 b_2))))
(/.f64 (*.f64 (-.f64 b_2 b_2) -1) (neg.f64 a))
(/.f64 (/.f64 (-.f64 b_2 b_2) (sqrt.f64 a)) (sqrt.f64 a))
(/.f64 (/.f64 (-.f64 b_2 b_2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
(/.f64 (*.f64 2 (sqrt.f64 b_2)) (/.f64 a (-.f64 (sqrt.f64 b_2) (sqrt.f64 b_2))))
(/.f64 (-.f64 (.f64 b_2 b_2) (.f64 (neg.f64 b_2) (neg.f64 b_2))) (*.f64 a (-.f64 b_2 (neg.f64 b_2))))
(/.f64 (-.f64 (pow.f64 b_2 4) (pow.f64 b_2 4)) (.f64 (.f64 a (+.f64 b_2 b_2)) (*.f64 b_2 (+.f64 b_2 b_2))))
(/.f64 (+.f64 (pow.f64 b_2 3) (pow.f64 (neg.f64 b_2) 3)) (.f64 a (+.f64 (.f64 b_2 b_2) (-.f64 (.f64 (neg.f64 b_2) (neg.f64 b_2)) (.f64 b_2 (neg.f64 b_2))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 b_2 4) 3/2) (pow.f64 (pow.f64 b_2 4) 3/2)) (.f64 (.f64 a (+.f64 b_2 b_2)) (+.f64 (pow.f64 b_2 4) (*.f64 2 (pow.f64 b_2 4)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 b_2 4) 3/2) (pow.f64 (pow.f64 b_2 4) 3/2)) (.f64 (.f64 a (fma.f64 b_2 b_2 (.f64 b_2 (+.f64 b_2 b_2)))) (.f64 2 (pow.f64 b_2 3))))
(/.f64 (-.f64 (pow.f64 (pow.f64 b_2 3) 3) (pow.f64 (pow.f64 b_2 3) 3)) (.f64 (.f64 a (fma.f64 b_2 b_2 (.f64 b_2 (+.f64 b_2 b_2)))) (+.f64 (pow.f64 (pow.f64 b_2 4) 3/2) (.f64 2 (pow.f64 (pow.f64 b_2 4) 3/2)))))
(/.f64 (.f64 (.f64 b_2 (-.f64 b_2 b_2)) -1) (*.f64 (+.f64 b_2 b_2) (neg.f64 a)))
(/.f64 (.f64 (-.f64 (pow.f64 b_2 3) (pow.f64 b_2 3)) -1) (.f64 (fma.f64 b_2 b_2 (*.f64 b_2 (+.f64 b_2 b_2))) (neg.f64 a)))
(/.f64 (neg.f64 (-.f64 b_2 b_2)) (neg.f64 a))
(/.f64 (neg.f64 (.f64 b_2 (-.f64 b_2 b_2))) (.f64 a (neg.f64 (+.f64 b_2 b_2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 b_2 3) (pow.f64 b_2 3))) (.f64 a (neg.f64 (fma.f64 b_2 b_2 (.f64 b_2 (+.f64 b_2 b_2))))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 b_2 b_2) a)) (sqrt.f64 (-.f64 b_2 b_2))) (sqrt.f64 a))
(/.f64 (.f64 1 (/.f64 (.f64 b_2 (-.f64 b_2 b_2)) a)) (+.f64 b_2 b_2))
(/.f64 (.f64 1 (/.f64 (-.f64 (pow.f64 b_2 3) (pow.f64 b_2 3)) a)) (fma.f64 b_2 b_2 (.f64 b_2 (+.f64 b_2 b_2))))
(/.f64 (.f64 1 (.f64 (-.f64 b_2 b_2) -1)) (neg.f64 a))
(/.f64 (*.f64 1 (/.f64 (-.f64 b_2 b_2) (sqrt.f64 a))) (sqrt.f64 a))
(/.f64 (*.f64 1 (/.f64 (-.f64 b_2 b_2) (pow.f64 (cbrt.f64 a) 2))) (cbrt.f64 a))
(/.f64 (.f64 1 (.f64 (.f64 b_2 (-.f64 b_2 b_2)) -1)) (.f64 (+.f64 b_2 b_2) (neg.f64 a)))
(/.f64 (.f64 1 (.f64 (-.f64 (pow.f64 b_2 3) (pow.f64 b_2 3)) -1)) (.f64 (fma.f64 b_2 b_2 (.f64 b_2 (+.f64 b_2 b_2))) (neg.f64 a)))
(/.f64 (*.f64 1 (neg.f64 (-.f64 b_2 b_2))) (neg.f64 a))
(/.f64 (.f64 (/.f64 1 a) (-.f64 (.f64 b_2 b_2) (*.f64 (neg.f64 b_2) (neg.f64 b_2)))) (-.f64 b_2 (neg.f64 b_2)))
(/.f64 (.f64 (/.f64 1 a) (+.f64 (pow.f64 b_2 3) (pow.f64 (neg.f64 b_2) 3))) (+.f64 (.f64 b_2 b_2) (-.f64 (.f64 (neg.f64 b_2) (neg.f64 b_2)) (.f64 b_2 (neg.f64 b_2)))))
(/.f64 (.f64 (/.f64 1 a) (neg.f64 (.f64 b_2 (-.f64 b_2 b_2)))) (neg.f64 (+.f64 b_2 b_2)))
(/.f64 (.f64 (/.f64 1 a) (neg.f64 (-.f64 (pow.f64 b_2 3) (pow.f64 b_2 3)))) (neg.f64 (fma.f64 b_2 b_2 (.f64 b_2 (+.f64 b_2 b_2)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 b_2 b_2) a)) 2) (cbrt.f64 (-.f64 b_2 b_2))) (cbrt.f64 a))
(/.f64 (.f64 (/.f64 (sqrt.f64 (-.f64 b_2 b_2)) a) (sqrt.f64 (-.f64 (pow.f64 b_2 3) (pow.f64 b_2 3)))) (sqrt.f64 (fma.f64 b_2 b_2 (.f64 b_2 (+.f64 b_2 b_2)))))
(/.f64 (.f64 (/.f64 (sqrt.f64 (-.f64 b_2 b_2)) a) (sqrt.f64 (.f64 b_2 (-.f64 b_2 b_2)))) (sqrt.f64 (+.f64 b_2 b_2)))
(/.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 b_2 b_2)) 2) a) (cbrt.f64 (-.f64 (pow.f64 b_2 3) (pow.f64 b_2 3)))) (cbrt.f64 (fma.f64 b_2 b_2 (.f64 b_2 (+.f64 b_2 b_2)))))
(/.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 b_2 b_2)) 2) a) (cbrt.f64 (.f64 b_2 (-.f64 b_2 b_2)))) (cbrt.f64 (+.f64 b_2 b_2)))
(/.f64 (*.f64 (/.f64 (-.f64 b_2 b_2) (sqrt.f64 a)) 1) (sqrt.f64 a))
(/.f64 (*.f64 (/.f64 (-.f64 b_2 b_2) (sqrt.f64 a)) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 a)))
(/.f64 (.f64 (.f64 (-.f64 b_2 b_2) (cbrt.f64 (pow.f64 a -2))) 1) (cbrt.f64 a))
(/.f64 (.f64 (.f64 (-.f64 b_2 b_2) (cbrt.f64 (pow.f64 a -2))) -1) (cbrt.f64 (neg.f64 a)))
(/.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 b_2 b_2)) 1) (sqrt.f64 (-.f64 b_2 b_2))) a)
(/.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 b_2 b_2)) (pow.f64 (cbrt.f64 a) 2)) (sqrt.f64 (-.f64 b_2 b_2))) (cbrt.f64 a))
(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 b_2 b_2)) 2) 1) (cbrt.f64 (-.f64 b_2 b_2))) a)
(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 b_2 b_2)) 2) (sqrt.f64 a)) (cbrt.f64 (-.f64 b_2 b_2))) (sqrt.f64 a))
(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 b_2 b_2)) 2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 (-.f64 b_2 b_2))) (cbrt.f64 a))
(/.f64 (*.f64 (sqrt.f64 (-.f64 b_2 b_2)) (sqrt.f64 (/.f64 (-.f64 b_2 b_2) a))) (sqrt.f64 a))
(/.f64 (.f64 (-.f64 (.f64 b_2 b_2) (*.f64 (neg.f64 b_2) (neg.f64 b_2))) (/.f64 1 a)) (-.f64 b_2 (neg.f64 b_2)))
(/.f64 (.f64 (+.f64 (pow.f64 b_2 3) (pow.f64 (neg.f64 b_2) 3)) (/.f64 1 a)) (+.f64 (.f64 b_2 b_2) (-.f64 (.f64 (neg.f64 b_2) (neg.f64 b_2)) (.f64 b_2 (neg.f64 b_2)))))
(/.f64 (.f64 (neg.f64 (.f64 b_2 (-.f64 b_2 b_2))) (/.f64 1 a)) (neg.f64 (+.f64 b_2 b_2)))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 b_2 3) (pow.f64 b_2 3))) (/.f64 1 a)) (neg.f64 (fma.f64 b_2 b_2 (.f64 b_2 (+.f64 b_2 b_2)))))
(/.f64 (.f64 (/.f64 (.f64 b_2 (-.f64 b_2 b_2)) a) 1) (+.f64 b_2 b_2))
(/.f64 (.f64 (/.f64 (-.f64 (pow.f64 b_2 3) (pow.f64 b_2 3)) a) 1) (fma.f64 b_2 b_2 (.f64 b_2 (+.f64 b_2 b_2))))
(/.f64 (.f64 (.f64 (-.f64 b_2 b_2) -1) 1) (neg.f64 a))
(/.f64 (*.f64 (/.f64 (-.f64 b_2 b_2) (pow.f64 (cbrt.f64 a) 2)) 1) (cbrt.f64 a))
(/.f64 (.f64 (.f64 (.f64 b_2 (-.f64 b_2 b_2)) -1) 1) (.f64 (+.f64 b_2 b_2) (neg.f64 a)))
(/.f64 (.f64 (.f64 (-.f64 (pow.f64 b_2 3) (pow.f64 b_2 3)) -1) 1) (.f64 (fma.f64 b_2 b_2 (.f64 b_2 (+.f64 b_2 b_2))) (neg.f64 a)))
(/.f64 (*.f64 (neg.f64 (-.f64 b_2 b_2)) 1) (neg.f64 a))
(/.f64 (*.f64 (sqrt.f64 -1) (/.f64 (-.f64 b_2 b_2) (sqrt.f64 a))) (sqrt.f64 (neg.f64 a)))
(/.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 3) (pow.f64 b_2 3))) (/.f64 (sqrt.f64 (-.f64 b_2 b_2)) a)) (sqrt.f64 (fma.f64 b_2 b_2 (.f64 b_2 (+.f64 b_2 b_2)))))
(/.f64 (.f64 (sqrt.f64 (.f64 b_2 (-.f64 b_2 b_2))) (/.f64 (sqrt.f64 (-.f64 b_2 b_2)) a)) (sqrt.f64 (+.f64 b_2 b_2)))
(/.f64 (*.f64 (cbrt.f64 (-.f64 b_2 b_2)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 b_2 b_2) a)) 2)) (cbrt.f64 a))
(/.f64 (*.f64 1 (/.f64 (-.f64 b_2 b_2) (cbrt.f64 a))) (pow.f64 (cbrt.f64 a) 2))
(/.f64 (*.f64 (sqrt.f64 (-.f64 b_2 b_2)) (/.f64 (sqrt.f64 (-.f64 b_2 b_2)) (cbrt.f64 a))) (pow.f64 (cbrt.f64 a) 2))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 b_2 b_2)) 2) (/.f64 (cbrt.f64 (-.f64 b_2 b_2)) (sqrt.f64 a))) (sqrt.f64 a))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 b_2 b_2)) 2) (cbrt.f64 (/.f64 (-.f64 b_2 b_2) a))) (pow.f64 (cbrt.f64 a) 2))
(/.f64 (/.f64 (/.f64 (*.f64 b_2 (-.f64 b_2 b_2)) a) 1) (+.f64 b_2 b_2))
(/.f64 (/.f64 (/.f64 (*.f64 b_2 (-.f64 b_2 b_2)) a) (sqrt.f64 (+.f64 b_2 b_2))) (sqrt.f64 (+.f64 b_2 b_2)))
(/.f64 (/.f64 (/.f64 (.f64 b_2 (-.f64 b_2 b_2)) a) (.f64 (cbrt.f64 (+.f64 b_2 b_2)) (cbrt.f64 (+.f64 b_2 b_2)))) (cbrt.f64 (+.f64 b_2 b_2)))
(/.f64 (/.f64 (/.f64 (-.f64 (pow.f64 b_2 3) (pow.f64 b_2 3)) a) 1) (fma.f64 b_2 b_2 (*.f64 b_2 (+.f64 b_2 b_2))))
(/.f64 (/.f64 (/.f64 (-.f64 (pow.f64 b_2 3) (pow.f64 b_2 3)) a) (sqrt.f64 (fma.f64 b_2 b_2 (.f64 b_2 (+.f64 b_2 b_2))))) (sqrt.f64 (fma.f64 b_2 b_2 (.f64 b_2 (+.f64 b_2 b_2)))))
(/.f64 (/.f64 (/.f64 (-.f64 (pow.f64 b_2 3) (pow.f64 b_2 3)) a) (.f64 (cbrt.f64 (fma.f64 b_2 b_2 (.f64 b_2 (+.f64 b_2 b_2)))) (cbrt.f64 (fma.f64 b_2 b_2 (.f64 b_2 (+.f64 b_2 b_2)))))) (cbrt.f64 (fma.f64 b_2 b_2 (.f64 b_2 (+.f64 b_2 b_2)))))
(/.f64 (/.f64 (*.f64 (-.f64 b_2 b_2) -1) 1) (neg.f64 a))
(/.f64 (/.f64 (*.f64 (-.f64 b_2 b_2) -1) (sqrt.f64 a)) (neg.f64 (sqrt.f64 a)))
(/.f64 (/.f64 (*.f64 (-.f64 b_2 b_2) -1) (pow.f64 (cbrt.f64 a) 2)) (neg.f64 (cbrt.f64 a)))
(/.f64 (/.f64 (*.f64 (-.f64 b_2 b_2) -1) -1) a)
(/.f64 (/.f64 (*.f64 (-.f64 b_2 b_2) -1) (sqrt.f64 (neg.f64 a))) (sqrt.f64 (neg.f64 a)))
(/.f64 (/.f64 (.f64 (-.f64 b_2 b_2) -1) (.f64 (cbrt.f64 (neg.f64 a)) (cbrt.f64 (neg.f64 a)))) (cbrt.f64 (neg.f64 a)))
(/.f64 (/.f64 (*.f64 (-.f64 b_2 b_2) -1) (neg.f64 (sqrt.f64 a))) (sqrt.f64 a))
(/.f64 (/.f64 (*.f64 (-.f64 b_2 b_2) -1) (neg.f64 (pow.f64 (cbrt.f64 a) 2))) (cbrt.f64 a))
(/.f64 (/.f64 (/.f64 (-.f64 b_2 b_2) (sqrt.f64 a)) 1) (sqrt.f64 a))
(/.f64 (/.f64 (/.f64 (-.f64 b_2 b_2) (sqrt.f64 a)) (cbrt.f64 a)) (cbrt.f64 (sqrt.f64 a)))
(/.f64 (/.f64 (/.f64 (-.f64 b_2 b_2) (sqrt.f64 a)) (sqrt.f64 (pow.f64 (cbrt.f64 a) 2))) (sqrt.f64 (cbrt.f64 a)))
(/.f64 (/.f64 (/.f64 (-.f64 b_2 b_2) (sqrt.f64 a)) (sqrt.f64 (sqrt.f64 a))) (sqrt.f64 (sqrt.f64 a)))
(/.f64 (/.f64 (/.f64 (-.f64 b_2 b_2) (pow.f64 (cbrt.f64 a) 2)) 1) (cbrt.f64 a))
(/.f64 (/.f64 (/.f64 (-.f64 b_2 b_2) (pow.f64 (cbrt.f64 a) 2)) (sqrt.f64 (cbrt.f64 a))) (sqrt.f64 (cbrt.f64 a)))
(/.f64 (/.f64 (/.f64 (-.f64 b_2 b_2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 a) 2))) (cbrt.f64 (cbrt.f64 a)))
(/.f64 (/.f64 (/.f64 (-.f64 b_2 b_2) (pow.f64 (cbrt.f64 a) 2)) (*.f64 (cbrt.f64 (cbrt.f64 a)) (cbrt.f64 (cbrt.f64 a)))) (cbrt.f64 (cbrt.f64 a)))
(/.f64 (/.f64 (/.f64 (-.f64 b_2 b_2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 (sqrt.f64 a))) (cbrt.f64 (sqrt.f64 a)))
(/.f64 (/.f64 (neg.f64 (-.f64 b_2 b_2)) 1) (neg.f64 a))
(/.f64 (/.f64 (neg.f64 (-.f64 b_2 b_2)) (sqrt.f64 a)) (neg.f64 (sqrt.f64 a)))
(/.f64 (/.f64 (neg.f64 (-.f64 b_2 b_2)) (pow.f64 (cbrt.f64 a) 2)) (neg.f64 (cbrt.f64 a)))
(/.f64 (/.f64 (neg.f64 (-.f64 b_2 b_2)) -1) a)
(/.f64 (/.f64 (neg.f64 (-.f64 b_2 b_2)) (sqrt.f64 (neg.f64 a))) (sqrt.f64 (neg.f64 a)))
(/.f64 (/.f64 (neg.f64 (-.f64 b_2 b_2)) (*.f64 (cbrt.f64 (neg.f64 a)) (cbrt.f64 (neg.f64 a)))) (cbrt.f64 (neg.f64 a)))
(/.f64 (/.f64 (neg.f64 (-.f64 b_2 b_2)) (neg.f64 (sqrt.f64 a))) (sqrt.f64 a))
(/.f64 (/.f64 (neg.f64 (-.f64 b_2 b_2)) (neg.f64 (pow.f64 (cbrt.f64 a) 2))) (cbrt.f64 a))
(pow.f64 (/.f64 (-.f64 b_2 b_2) a) 1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 b_2 b_2) a)) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 b_2 b_2) a)) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 b_2 b_2) a) 3) 1/3)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 b_2 b_2) a) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 b_2 b_2) a)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 b_2 b_2) a))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 b_2 b_2) a) 3))
(cbrt.f64 (*.f64 (/.f64 1 (pow.f64 a 3)) (pow.f64 (-.f64 b_2 b_2) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 b_2 b_2) a)))
(exp.f64 (log.f64 (/.f64 (-.f64 b_2 b_2) a)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 b_2 b_2) a)))

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)
(pow.f64 b_2 3)
(pow.f64 b_2 3)
(pow.f64 b_2 3)
(pow.f64 b_2 3)
(pow.f64 b_2 3)
(pow.f64 b_2 3)
(pow.f64 b_2 3)
(pow.f64 b_2 3)
(*.f64 -1 (pow.f64 b_2 3))
(pow.f64 (neg.f64 b_2) 3)
(neg.f64 (pow.f64 b_2 3))
(*.f64 -1 (pow.f64 b_2 3))
(pow.f64 (neg.f64 b_2) 3)
(neg.f64 (pow.f64 b_2 3))
(*.f64 -1 (pow.f64 b_2 3))
(pow.f64 (neg.f64 b_2) 3)
(neg.f64 (pow.f64 b_2 3))
(*.f64 -1 (pow.f64 b_2 3))
(pow.f64 (neg.f64 b_2) 3)
(neg.f64 (pow.f64 b_2 3))
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
(*.f64 -2 (/.f64 b_2 a))
(/.f64 -2 (/.f64 a b_2))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 -2 (/.f64 a b_2))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 -2 (/.f64 a b_2))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 -2 (/.f64 a b_2))
(-.f64 (exp.f64 (log1p.f64 b_2)) 1)
b_2
(*.f64 b_2 1)
b_2
(*.f64 b_2 (pow.f64 1 1/3))
b_2
(*.f64 1 b_2)
b_2
(*.f64 (sqrt.f64 b_2) (sqrt.f64 b_2))
b_2
(*.f64 (cbrt.f64 b_2) (pow.f64 (cbrt.f64 b_2) 2))
b_2
(*.f64 (pow.f64 (cbrt.f64 b_2) 2) (cbrt.f64 b_2))
b_2
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 b_2 4))) (sqrt.f64 (pow.f64 (cbrt.f64 b_2) 2)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 b_2 4))) (fabs.f64 (cbrt.f64 b_2)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 b_2) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 b_2 4))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 b_2 4))) (sqrt.f64 (pow.f64 (cbrt.f64 b_2) 2)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 b_2 4))) (fabs.f64 (cbrt.f64 b_2)))
(*.f64 (pow.f64 1 1/3) b_2)
b_2
(*.f64 (pow.f64 (pow.f64 b_2 3/2) 1/3) (pow.f64 (pow.f64 b_2 3/2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 b_2 3/2)) (cbrt.f64 (pow.f64 b_2 3/2)))
(pow.f64 b_2 1)
b_2
(pow.f64 (*.f64 b_2 b_2) 1/2)
b_2
(pow.f64 (pow.f64 b_2 3) 1/3)
b_2
(pow.f64 (sqrt.f64 b_2) 2)
b_2
(pow.f64 (cbrt.f64 b_2) 3)
b_2
(sqrt.f64 (*.f64 b_2 b_2))
b_2
(fabs.f64 b_2)
b_2
(log.f64 (exp.f64 b_2))
b_2
(log.f64 (+.f64 1 (expm1.f64 b_2)))
b_2
(expm1.f64 (log1p.f64 b_2))
b_2
(exp.f64 (log.f64 b_2))
b_2
(log1p.f64 (expm1.f64 b_2))
b_2
(-.f64 (exp.f64 (log1p.f64 (pow.f64 b_2 3))) 1)
(pow.f64 b_2 3)
(.f64 b_2 (.f64 b_2 b_2))
(pow.f64 b_2 3)
(.f64 (.f64 b_2 b_2) b_2)
(pow.f64 b_2 3)
(*.f64 (pow.f64 b_2 3) 1)
(pow.f64 b_2 3)
(*.f64 (pow.f64 b_2 3) (pow.f64 1 3/2))
(pow.f64 b_2 3)
(*.f64 1 (pow.f64 b_2 3))
(pow.f64 b_2 3)
(.f64 (sqrt.f64 b_2) (.f64 (*.f64 b_2 b_2) (sqrt.f64 b_2)))
(pow.f64 b_2 3)
(*.f64 (pow.f64 b_2 3/2) (pow.f64 b_2 3/2))
(pow.f64 b_2 3)
(.f64 (cbrt.f64 (pow.f64 b_2 4)) (.f64 b_2 (pow.f64 (cbrt.f64 b_2) 2)))
(.f64 b_2 (.f64 (pow.f64 (cbrt.f64 b_2) 2) (cbrt.f64 (pow.f64 b_2 4))))
(.f64 (cbrt.f64 b_2) (.f64 (*.f64 b_2 b_2) (pow.f64 (cbrt.f64 b_2) 2)))
(pow.f64 b_2 3)
(.f64 (.f64 b_2 (pow.f64 (cbrt.f64 b_2) 2)) (cbrt.f64 (pow.f64 b_2 4)))
(.f64 b_2 (.f64 (pow.f64 (cbrt.f64 b_2) 2) (cbrt.f64 (pow.f64 b_2 4))))
(.f64 (.f64 (*.f64 b_2 b_2) (pow.f64 (cbrt.f64 b_2) 2)) (cbrt.f64 b_2))
(pow.f64 b_2 3)
(.f64 (.f64 (*.f64 b_2 b_2) (sqrt.f64 b_2)) (sqrt.f64 b_2))
(pow.f64 b_2 3)
(*.f64 (pow.f64 (sqrt.f64 b_2) 3) (pow.f64 (sqrt.f64 b_2) 3))
(pow.f64 b_2 3)
(*.f64 (pow.f64 1 3/2) (pow.f64 b_2 3))
(pow.f64 b_2 3)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 b_2 4)) 3/2) (pow.f64 (pow.f64 (cbrt.f64 b_2) 2) 3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 b_2) 2) 3/2) (pow.f64 (cbrt.f64 (pow.f64 b_2 4)) 3/2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 b_2 4)) 3/2) (pow.f64 (pow.f64 (cbrt.f64 b_2) 2) 3/2))
(sqrt.f64 (pow.f64 (pow.f64 b_2 4) 3/2))
(log.f64 (exp.f64 (pow.f64 b_2 3)))
(pow.f64 b_2 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 b_2 3))))
(pow.f64 b_2 3)
(cbrt.f64 (pow.f64 (pow.f64 b_2 3) 3))
(pow.f64 b_2 3)
(expm1.f64 (log1p.f64 (pow.f64 b_2 3)))
(pow.f64 b_2 3)
(exp.f64 (log.f64 (pow.f64 b_2 3)))
(pow.f64 b_2 3)
(exp.f64 (*.f64 (log.f64 b_2) 3))
(pow.f64 b_2 3)
(log1p.f64 (expm1.f64 (pow.f64 b_2 3)))
(pow.f64 b_2 3)
(+.f64 (/.f64 (-.f64 b_2 b_2) a) (*.f64 (/.f64 1 a) (fma.f64 (neg.f64 b_2) 1 b_2)))
0
(+.f64 (/.f64 (-.f64 b_2 b_2) a) (*.f64 (/.f64 1 a) (fma.f64 (neg.f64 (sqrt.f64 b_2)) (sqrt.f64 b_2) b_2)))
0
(+.f64 (/.f64 (-.f64 b_2 b_2) a) (*.f64 (/.f64 1 a) (fma.f64 (neg.f64 (cbrt.f64 b_2)) (pow.f64 (cbrt.f64 b_2) 2) b_2)))
0
(+.f64 (/.f64 b_2 a) (/.f64 (neg.f64 b_2) a))
0
(+.f64 (/.f64 (neg.f64 b_2) a) (/.f64 b_2 a))
0
(+.f64 (.f64 1 (/.f64 b_2 a)) (.f64 1 (/.f64 (neg.f64 b_2) a)))
0
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(/.f64 (/.f64 (/.f64 (-.f64 b_2 b_2) (pow.f64 (cbrt.f64 a) 2)) 1) (cbrt.f64 a))
0
(/.f64 (/.f64 (/.f64 (-.f64 b_2 b_2) (pow.f64 (cbrt.f64 a) 2)) (sqrt.f64 (cbrt.f64 a))) (sqrt.f64 (cbrt.f64 a)))
0
(/.f64 (/.f64 (/.f64 (-.f64 b_2 b_2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 a) 2))) (cbrt.f64 (cbrt.f64 a)))
0
(/.f64 (/.f64 (/.f64 (-.f64 b_2 b_2) (pow.f64 (cbrt.f64 a) 2)) (*.f64 (cbrt.f64 (cbrt.f64 a)) (cbrt.f64 (cbrt.f64 a)))) (cbrt.f64 (cbrt.f64 a)))
0
(/.f64 (/.f64 (/.f64 (-.f64 b_2 b_2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 (sqrt.f64 a))) (cbrt.f64 (sqrt.f64 a)))
0
(/.f64 (/.f64 (neg.f64 (-.f64 b_2 b_2)) 1) (neg.f64 a))
0
(/.f64 (/.f64 (neg.f64 (-.f64 b_2 b_2)) (sqrt.f64 a)) (neg.f64 (sqrt.f64 a)))
0
(/.f64 (/.f64 (neg.f64 (-.f64 b_2 b_2)) (pow.f64 (cbrt.f64 a) 2)) (neg.f64 (cbrt.f64 a)))
0
(/.f64 (/.f64 (neg.f64 (-.f64 b_2 b_2)) -1) a)
0
(/.f64 (/.f64 (neg.f64 (-.f64 b_2 b_2)) (sqrt.f64 (neg.f64 a))) (sqrt.f64 (neg.f64 a)))
0
(/.f64 (/.f64 (neg.f64 (-.f64 b_2 b_2)) (*.f64 (cbrt.f64 (neg.f64 a)) (cbrt.f64 (neg.f64 a)))) (cbrt.f64 (neg.f64 a)))
0
(/.f64 (/.f64 (neg.f64 (-.f64 b_2 b_2)) (neg.f64 (sqrt.f64 a))) (sqrt.f64 a))
0
(/.f64 (/.f64 (neg.f64 (-.f64 b_2 b_2)) (neg.f64 (pow.f64 (cbrt.f64 a) 2))) (cbrt.f64 a))
0
(pow.f64 (/.f64 (-.f64 b_2 b_2) a) 1)
0
(pow.f64 (sqrt.f64 (/.f64 (-.f64 b_2 b_2) a)) 2)
0
(pow.f64 (cbrt.f64 (/.f64 (-.f64 b_2 b_2) a)) 3)
0
(pow.f64 (pow.f64 (/.f64 (-.f64 b_2 b_2) a) 3) 1/3)
0
(sqrt.f64 (pow.f64 (/.f64 (-.f64 b_2 b_2) a) 2))
(sqrt.f64 0)
(log.f64 (exp.f64 (/.f64 (-.f64 b_2 b_2) a)))
0
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 b_2 b_2) a))))
0
(cbrt.f64 (pow.f64 (/.f64 (-.f64 b_2 b_2) a) 3))
0
(cbrt.f64 (*.f64 (/.f64 1 (pow.f64 a 3)) (pow.f64 (-.f64 b_2 b_2) 3)))
0
(expm1.f64 (log1p.f64 (/.f64 (-.f64 b_2 b_2) a)))
0
(exp.f64 (log.f64 (/.f64 (-.f64 b_2 b_2) a)))
0
(log1p.f64 (expm1.f64 (/.f64 (-.f64 b_2 b_2) a)))
0

eval421.0ms (2.8%)

Compiler: Compiled 25054 to 9923 computations (60.4% saved)

prune520.0ms (3.4%)

Pruning

48 alts after pruning (38 fresh and 10 done)

	Pruned	Kept	Total
New	1088	22	1110
Fresh	15	16	31
Picked	1	0	1
Done	3	10	13
Total	1107	48	1155

Error

6.2b

Counts

1155 → 48

Alt Table

Click to see full alt table

Status	Error	Program
	55.8b	(/.f64 (pow.f64 (pow.f64 (*.f64 c (/.f64 -1/2 a)) 3) 1/3) (/.f64 b_2 a))
	45.1b	(/.f64 (pow.f64 (cbrt.f64 (*.f64 c (/.f64 -1/2 a))) 3) (/.f64 b_2 a))
	63.1b	(/.f64 (/.f64 (-.f64 0 (.f64 c a)) (+.f64 b_2 (+.f64 (.f64 -1 b_2) (.f64 1/2 (/.f64 (.f64 c a) b_2))))) a)
	43.0b	(/.f64 (/.f64 (-.f64 0 (.f64 c a)) (+.f64 b_2 (+.f64 b_2 (.f64 -1/2 (/.f64 (*.f64 c a) b_2))))) a)
	43.0b	(/.f64 (/.f64 (-.f64 0 (.f64 c a)) (+.f64 b_2 (+.f64 b_2 (.f64 -1/2 (/.f64 c (/.f64 b_2 a)))))) a)
✓	28.0b	(/.f64 (/.f64 (-.f64 0 (.f64 c a)) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))))) a)
✓	28.1b	(/.f64 (/.f64 (-.f64 0 (.f64 c a)) (+.f64 b_2 (sqrt.f64 (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 4 (fma.f64 (neg.f64 a) c (*.f64 c a))))))) a)
	44.9b	(/.f64 (/.f64 (*.f64 c -1/2) a) (/.f64 b_2 a))
	45.0b	(/.f64 (/.f64 -1/2 (/.f64 a c)) (/.f64 b_2 a))
✓	33.3b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
	43.8b	(/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)
	45.3b	(/.f64 (+.f64 (fma.f64 b_2 1 b_2) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))) a)
	48.8b	(/.f64 (+.f64 (.f64 -2 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2))) a)
	45.3b	(/.f64 (+.f64 b_2 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) (*.f64 2 (fma.f64 b_2 1 b_2)))) a)
	43.2b	(/.f64 (.f64 (-.f64 (.f64 b_2 b_2) (+.f64 (.f64 c a) (.f64 (neg.f64 b_2) (neg.f64 b_2)))) (/.f64 1 a)) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) (neg.f64 b_2)))
	42.5b	(/.f64 (.f64 c -1/2) (/.f64 (.f64 a b_2) a))
	55.5b	(/.f64 (.f64 2 (/.f64 (.f64 c (.f64 a b_2)) (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)))) a)
✓	41.6b	(/.f64 (sqrt.f64 (-.f64 0 (*.f64 c a))) a)
	59.6b	(/.f64 (neg.f64 b_2) a)
	55.8b	(/.f64 (exp.f64 (log.f64 (*.f64 c (/.f64 -1/2 a)))) (/.f64 b_2 a))
	47.6b	(/.f64 b_2 (/.f64 a -2))
	43.8b	(/.f64 a (/.f64 (.f64 a b_2) (.f64 c -1/2)))
	33.4b	(/.f64 1 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2)))
✓	39.8b	(/.f64 -1/2 (/.f64 b_2 c))
	43.4b	(/.f64 -1/2 (.f64 a (/.f64 b_2 (.f64 c a))))
	47.6b	(/.f64 -2 (/.f64 a b_2))
✓	47.8b	(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
	44.0b	(.f64 (/.f64 (/.f64 1 a) (neg.f64 b_2)) (.f64 (*.f64 c -1/2) (neg.f64 a)))
	39.3b	(.f64 (/.f64 (.f64 c -1/2) b_2) (*.f64 (/.f64 1 a) a))
	44.2b	(.f64 (/.f64 c (.f64 b_2 a)) (*.f64 -1/2 a))
	44.9b	(.f64 (/.f64 a b_2) (.f64 c (/.f64 -1/2 a)))
	43.3b	(.f64 (/.f64 1 b_2) (.f64 (*.f64 c (/.f64 -1/2 a)) a))
	62.7b	(*.f64 (/.f64 1 a) (-.f64 (pow.f64 (pow.f64 b_2 3) 1/3) b_2))
✓	33.4b	(.f64 (/.f64 1 a) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2))
✓	43.8b	(.f64 (/.f64 1 a) (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2))
	62.9b	(*.f64 (/.f64 1 a) (-.f64 (exp.f64 (log.f64 b_2)) b_2))
	62.3b	(.f64 (/.f64 1 a) (-.f64 (cbrt.f64 (.f64 (*.f64 b_2 b_2) b_2)) b_2))
	59.3b	(*.f64 (/.f64 1 a) (-.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (pow.f64 b_2 4) 3/2))) b_2))
	63.3b	(.f64 (/.f64 1 a) (-.f64 (cbrt.f64 (exp.f64 (.f64 (log.f64 b_2) 3))) b_2))
	47.6b	(.f64 (/.f64 1 a) (.f64 b_2 -2))
	50.2b	(.f64 (/.f64 1 a) (exp.f64 (log.f64 (.f64 (/.f64 c b_2) (*.f64 a -1/2)))))
✓	39.4b	(*.f64 (/.f64 -1/2 b_2) c)
	52.7b	(.f64 2 (/.f64 (.f64 c b_2) (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (*.f64 c a))))
✓	39.3b	(*.f64 -1/2 (/.f64 c b_2))
	45.0b	(.f64 -1 (.f64 c (sqrt.f64 (/.f64 1 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (*.f64 c a))))))
	42.7b	(expm1.f64 (log1p.f64 (*.f64 -1/2 (/.f64 c b_2))))
	47.9b	(cbrt.f64 (pow.f64 (*.f64 -1/2 (/.f64 c b_2)) 3))
	54.0b	0

Compiler

Compiled 730 to 489 computations (33% saved)

regimes539.0ms (3.6%)

Counts

81 → 4

Calls

Call 1

Inputs
0
(/.f64 (neg.f64 b_2) a)
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 -1/2 b_2) c)
(/.f64 -2 (/.f64 a b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(/.f64 b_2 (/.f64 a -2))
(/.f64 (*.f64 b_2 -2) a)
(/.f64 (-.f64 b_2 b_2) a)
(.f64 (/.f64 1 a) (.f64 b_2 -2))
(.f64 (/.f64 a b_2) (.f64 c (/.f64 -1/2 a)))
(.f64 (/.f64 c (.f64 b_2 a)) (*.f64 -1/2 a))
(/.f64 -1/2 (.f64 a (/.f64 b_2 (.f64 c a))))
(/.f64 a (/.f64 (.f64 a b_2) (.f64 c -1/2)))
(/.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) a)
(/.f64 (.f64 c -1/2) (/.f64 (.f64 a b_2) a))
(/.f64 (/.f64 -1/2 (/.f64 a c)) (/.f64 b_2 a))
(/.f64 (/.f64 (*.f64 c -1/2) a) (/.f64 b_2 a))
(/.f64 (/.f64 (.f64 (.f64 c -1/2) a) b_2) a)
(/.f64 (.f64 (.f64 c 1/2) (/.f64 a b_2)) (neg.f64 a))
(.f64 (/.f64 1 a) (/.f64 (.f64 (*.f64 c -1/2) a) b_2))
(.f64 (/.f64 1 b_2) (.f64 (*.f64 c (/.f64 -1/2 a)) a))
(.f64 (/.f64 (.f64 c -1/2) b_2) (*.f64 (/.f64 1 a) a))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(/.f64 (.f64 (/.f64 1 a) (.f64 c -1/2)) (/.f64 b_2 a))
(.f64 (/.f64 1 a) (.f64 (/.f64 1 b_2) (.f64 -1/2 (.f64 c a))))
(.f64 (/.f64 (/.f64 1 a) (neg.f64 b_2)) (.f64 (*.f64 c -1/2) (neg.f64 a)))
(/.f64 1 (.f64 (/.f64 (.f64 a b_2) (*.f64 c -1/2)) (/.f64 1 a)))
(/.f64 (+.f64 (.f64 -2 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2))) a)
(/.f64 (/.f64 (-.f64 0 (.f64 c a)) (+.f64 b_2 (+.f64 b_2 (.f64 -1/2 (/.f64 c (/.f64 b_2 a)))))) a)
(/.f64 (/.f64 (-.f64 0 (.f64 c a)) (+.f64 b_2 (+.f64 b_2 (.f64 -1/2 (/.f64 (*.f64 c a) b_2))))) a)
(.f64 2 (/.f64 (.f64 c b_2) (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (*.f64 c a))))
(/.f64 (/.f64 (-.f64 0 (.f64 c a)) (+.f64 b_2 (+.f64 (.f64 -1 b_2) (.f64 1/2 (/.f64 (.f64 c a) b_2))))) a)
(/.f64 (.f64 2 (/.f64 (.f64 c (.f64 a b_2)) (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)))) a)
(/.f64 (/.f64 (-.f64 (.f64 b_2 b_2) (+.f64 (.f64 c a) (.f64 b_2 b_2))) (-.f64 (+.f64 b_2 (.f64 -1/2 (/.f64 c (/.f64 b_2 a)))) (neg.f64 b_2))) a)
(/.f64 (/.f64 (-.f64 (.f64 b_2 b_2) (+.f64 (.f64 c a) (.f64 b_2 b_2))) (-.f64 (+.f64 b_2 (.f64 -1/2 (/.f64 (*.f64 c a) b_2))) (neg.f64 b_2))) a)
(/.f64 (/.f64 (-.f64 (.f64 b_2 b_2) (+.f64 (.f64 c a) (.f64 b_2 b_2))) (-.f64 (+.f64 (.f64 -1 b_2) (.f64 1/2 (/.f64 (.f64 c a) b_2))) (neg.f64 b_2))) a)
(/.f64 (sqrt.f64 (-.f64 0 (*.f64 c a))) a)
(/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)
(.f64 (/.f64 1 a) (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2))
(.f64 (/.f64 1 a) (-.f64 (cbrt.f64 (.f64 (*.f64 b_2 b_2) b_2)) b_2))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
(.f64 (/.f64 1 a) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2))
(/.f64 1 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2)))
(/.f64 (/.f64 (-.f64 0 (.f64 c a)) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))))) a)
(.f64 -1 (.f64 c (sqrt.f64 (/.f64 1 (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (*.f64 c a))))))
(/.f64 (/.f64 (-.f64 (.f64 b_2 b_2) (+.f64 (.f64 c a) (.f64 b_2 b_2))) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))) (neg.f64 b_2))) a)
(.f64 (/.f64 1 a) (/.f64 (-.f64 (.f64 b_2 b_2) (+.f64 (.f64 c a) (.f64 b_2 b_2))) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) (neg.f64 b_2))))
(/.f64 (.f64 (-.f64 (.f64 b_2 b_2) (+.f64 (.f64 c a) (.f64 (neg.f64 b_2) (neg.f64 b_2)))) (/.f64 1 a)) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) (neg.f64 b_2)))
(exp.f64 (log.f64 (*.f64 -1/2 (/.f64 c b_2))))
(expm1.f64 (log1p.f64 (*.f64 -1/2 (/.f64 c b_2))))
(cbrt.f64 (pow.f64 (*.f64 -1/2 (/.f64 c b_2)) 3))
(pow.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 c b_2))) 2)
(.f64 (.f64 (/.f64 -1/2 b_2) (sqrt.f64 c)) (sqrt.f64 c))
(*.f64 (/.f64 1 a) (-.f64 (exp.f64 (log.f64 b_2)) b_2))
(*.f64 (/.f64 1 a) (-.f64 (pow.f64 (pow.f64 b_2 3) 1/3) b_2))
(/.f64 (exp.f64 (log.f64 (*.f64 c (/.f64 -1/2 a)))) (/.f64 b_2 a))
(.f64 (/.f64 1 a) (-.f64 (cbrt.f64 (pow.f64 (.f64 b_2 b_2) 3/2)) b_2))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 c (/.f64 -1/2 a))) 3) (/.f64 b_2 a))
(pow.f64 (cbrt.f64 (.f64 (/.f64 c a) (/.f64 (.f64 a -1/2) b_2))) 3)
(.f64 (/.f64 1 a) (exp.f64 (log.f64 (.f64 (/.f64 c b_2) (*.f64 a -1/2)))))
(/.f64 (pow.f64 (pow.f64 (*.f64 c (/.f64 -1/2 a)) 3) 1/3) (/.f64 b_2 a))
(.f64 (/.f64 1 a) (pow.f64 (cbrt.f64 (.f64 (/.f64 c b_2) (*.f64 a -1/2))) 3))
(pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) -1)
(.f64 (/.f64 1 a) (-.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)) 3/2)) b_2))
(/.f64 (+.f64 (fma.f64 b_2 1 b_2) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))) a)
(/.f64 (+.f64 b_2 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) (*.f64 2 (fma.f64 b_2 1 b_2)))) a)
(/.f64 (-.f64 (sqrt.f64 (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 2 (.f64 2 (fma.f64 (neg.f64 c) a (*.f64 c a)))))) b_2) a)
(/.f64 (/.f64 (-.f64 0 (.f64 c a)) (+.f64 b_2 (sqrt.f64 (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 4 (fma.f64 (neg.f64 a) c (*.f64 c a))))))) a)
(/.f64 (/.f64 (-.f64 (.f64 b_2 b_2) (+.f64 (.f64 c a) (.f64 b_2 b_2))) (-.f64 (sqrt.f64 (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 4 (fma.f64 (neg.f64 a) c (*.f64 c a))))) (neg.f64 b_2))) a)
(/.f64 -1/2 (*.f64 (cbrt.f64 b_2) (/.f64 (pow.f64 (cbrt.f64 b_2) 2) c)))
(.f64 (/.f64 1 a) (-.f64 (cbrt.f64 (exp.f64 (.f64 (log.f64 b_2) 3))) b_2))
(/.f64 (/.f64 c (pow.f64 (cbrt.f64 a) 2)) (*.f64 (cbrt.f64 a) (/.f64 (/.f64 b_2 a) -1/2)))
(/.f64 (pow.f64 (cbrt.f64 a) 2) (/.f64 (*.f64 (/.f64 a c) (/.f64 b_2 -1/2)) (cbrt.f64 a)))
(/.f64 (pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) 2) a)
(/.f64 (/.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (.f64 a c))) a) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c))))))
(*.f64 (/.f64 1 a) (-.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (pow.f64 b_2 4) 3/2))) b_2))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
(.f64 (/.f64 1 a) (.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 -1/2 c) (/.f64 a b_2))) 2) (.f64 (cbrt.f64 (sqrt.f64 (.f64 (.f64 -1/2 c) (/.f64 a b_2)))) (cbrt.f64 (sqrt.f64 (.f64 (*.f64 -1/2 c) (/.f64 a b_2)))))))
(.f64 (/.f64 1 a) (.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 (/.f64 c b_2) (.f64 a -1/2)))) (cbrt.f64 (.f64 (/.f64 c b_2) (.f64 a -1/2)))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 (/.f64 c b_2) (.f64 a -1/2)))) (cbrt.f64 (.f64 (/.f64 c b_2) (.f64 a -1/2))))))

Outputs
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
(/.f64 (/.f64 (-.f64 0 (.f64 c a)) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))))) a)
(*.f64 -1/2 (/.f64 c b_2))

Calls

4 calls:

193.0ms	a
139.0ms	b_2
104.0ms	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
78.0ms	c

Results

Error	Segments	Branch
23.8b	5	`a`
7.8b	4	`b_2`
26.1b	2	`c`
11.4b	5	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`

Compiler

Compiled 1171 to 530 computations (54.7% saved)

bsearch68.0ms (0.4%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
45.0ms	8.967497870196502e+63	5.616702888510043e+80
8.0ms	1.1206189233972741e-181	6.92169370338407e-179
15.0ms	-1.629409052416282e+103	-6.743127307405117e+102

Results

28.0ms	155×	body	256	valid
15.0ms	38×	body	2048	valid
11.0ms	40×	body	1024	valid
4.0ms	19×	body	512	valid
2.0ms	20×	body	256	invalid
2.0ms	18×	body	256	infinite
2.0ms	4×	body	4096	valid

Compiler

Compiled 525 to 343 computations (34.7% saved)

regimes579.0ms (3.8%)

Counts

45 → 3

Calls

Call 1

Inputs
0
(/.f64 (neg.f64 b_2) a)
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 -1/2 b_2) c)
(/.f64 -2 (/.f64 a b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(/.f64 b_2 (/.f64 a -2))
(/.f64 (*.f64 b_2 -2) a)
(/.f64 (-.f64 b_2 b_2) a)
(.f64 (/.f64 1 a) (.f64 b_2 -2))
(.f64 (/.f64 a b_2) (.f64 c (/.f64 -1/2 a)))
(.f64 (/.f64 c (.f64 b_2 a)) (*.f64 -1/2 a))
(/.f64 -1/2 (.f64 a (/.f64 b_2 (.f64 c a))))
(/.f64 a (/.f64 (.f64 a b_2) (.f64 c -1/2)))
(/.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) a)
(/.f64 (.f64 c -1/2) (/.f64 (.f64 a b_2) a))
(/.f64 (/.f64 -1/2 (/.f64 a c)) (/.f64 b_2 a))
(/.f64 (/.f64 (*.f64 c -1/2) a) (/.f64 b_2 a))
(/.f64 (/.f64 (.f64 (.f64 c -1/2) a) b_2) a)
(/.f64 (.f64 (.f64 c 1/2) (/.f64 a b_2)) (neg.f64 a))
(.f64 (/.f64 1 a) (/.f64 (.f64 (*.f64 c -1/2) a) b_2))
(.f64 (/.f64 1 b_2) (.f64 (*.f64 c (/.f64 -1/2 a)) a))
(.f64 (/.f64 (.f64 c -1/2) b_2) (*.f64 (/.f64 1 a) a))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(/.f64 (.f64 (/.f64 1 a) (.f64 c -1/2)) (/.f64 b_2 a))
(.f64 (/.f64 1 a) (.f64 (/.f64 1 b_2) (.f64 -1/2 (.f64 c a))))
(.f64 (/.f64 (/.f64 1 a) (neg.f64 b_2)) (.f64 (*.f64 c -1/2) (neg.f64 a)))
(/.f64 1 (.f64 (/.f64 (.f64 a b_2) (*.f64 c -1/2)) (/.f64 1 a)))
(/.f64 (+.f64 (.f64 -2 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2))) a)
(/.f64 (/.f64 (-.f64 0 (.f64 c a)) (+.f64 b_2 (+.f64 b_2 (.f64 -1/2 (/.f64 c (/.f64 b_2 a)))))) a)
(/.f64 (/.f64 (-.f64 0 (.f64 c a)) (+.f64 b_2 (+.f64 b_2 (.f64 -1/2 (/.f64 (*.f64 c a) b_2))))) a)
(.f64 2 (/.f64 (.f64 c b_2) (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (*.f64 c a))))
(/.f64 (/.f64 (-.f64 0 (.f64 c a)) (+.f64 b_2 (+.f64 (.f64 -1 b_2) (.f64 1/2 (/.f64 (.f64 c a) b_2))))) a)
(/.f64 (.f64 2 (/.f64 (.f64 c (.f64 a b_2)) (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)))) a)
(/.f64 (/.f64 (-.f64 (.f64 b_2 b_2) (+.f64 (.f64 c a) (.f64 b_2 b_2))) (-.f64 (+.f64 b_2 (.f64 -1/2 (/.f64 c (/.f64 b_2 a)))) (neg.f64 b_2))) a)
(/.f64 (/.f64 (-.f64 (.f64 b_2 b_2) (+.f64 (.f64 c a) (.f64 b_2 b_2))) (-.f64 (+.f64 b_2 (.f64 -1/2 (/.f64 (*.f64 c a) b_2))) (neg.f64 b_2))) a)
(/.f64 (/.f64 (-.f64 (.f64 b_2 b_2) (+.f64 (.f64 c a) (.f64 b_2 b_2))) (-.f64 (+.f64 (.f64 -1 b_2) (.f64 1/2 (/.f64 (.f64 c a) b_2))) (neg.f64 b_2))) a)
(/.f64 (sqrt.f64 (-.f64 0 (*.f64 c a))) a)
(/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)
(.f64 (/.f64 1 a) (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2))
(.f64 (/.f64 1 a) (-.f64 (cbrt.f64 (.f64 (*.f64 b_2 b_2) b_2)) b_2))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
(.f64 (/.f64 1 a) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2))
(/.f64 1 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2)))

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

Calls

4 calls:

283.0ms	a
102.0ms	c
79.0ms	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
74.0ms	b_2

Results

Error	Segments	Branch
26.1b	10	`a`
9.6b	3	`b_2`
27.8b	4	`c`
11.4b	5	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`

Compiler

Compiled 554 to 261 computations (52.9% saved)

bsearch43.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
30.0ms	3.119176310240665e-112	1.828517013500353e-106
13.0ms	-1.629409052416282e+103	-6.743127307405117e+102

Results

22.0ms	185×	body	256	valid
8.0ms	25×	body	1024	valid
5.0ms	47×	body	256	invalid
3.0ms	13×	body	512	valid
2.0ms	14×	body	256	infinite
0.0ms	1×	body	2048	valid

Compiler

Compiled 402 to 273 computations (32.1% saved)

regimes674.0ms (4.5%)

Counts

41 → 3

Calls

Call 1

Inputs
0
(/.f64 (neg.f64 b_2) a)
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 -1/2 b_2) c)
(/.f64 -2 (/.f64 a b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(/.f64 b_2 (/.f64 a -2))
(/.f64 (*.f64 b_2 -2) a)
(/.f64 (-.f64 b_2 b_2) a)
(.f64 (/.f64 1 a) (.f64 b_2 -2))
(.f64 (/.f64 a b_2) (.f64 c (/.f64 -1/2 a)))
(.f64 (/.f64 c (.f64 b_2 a)) (*.f64 -1/2 a))
(/.f64 -1/2 (.f64 a (/.f64 b_2 (.f64 c a))))
(/.f64 a (/.f64 (.f64 a b_2) (.f64 c -1/2)))
(/.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) a)
(/.f64 (.f64 c -1/2) (/.f64 (.f64 a b_2) a))
(/.f64 (/.f64 -1/2 (/.f64 a c)) (/.f64 b_2 a))
(/.f64 (/.f64 (*.f64 c -1/2) a) (/.f64 b_2 a))
(/.f64 (/.f64 (.f64 (.f64 c -1/2) a) b_2) a)
(/.f64 (.f64 (.f64 c 1/2) (/.f64 a b_2)) (neg.f64 a))
(.f64 (/.f64 1 a) (/.f64 (.f64 (*.f64 c -1/2) a) b_2))
(.f64 (/.f64 1 b_2) (.f64 (*.f64 c (/.f64 -1/2 a)) a))
(.f64 (/.f64 (.f64 c -1/2) b_2) (*.f64 (/.f64 1 a) a))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(/.f64 (.f64 (/.f64 1 a) (.f64 c -1/2)) (/.f64 b_2 a))
(.f64 (/.f64 1 a) (.f64 (/.f64 1 b_2) (.f64 -1/2 (.f64 c a))))
(.f64 (/.f64 (/.f64 1 a) (neg.f64 b_2)) (.f64 (*.f64 c -1/2) (neg.f64 a)))
(/.f64 1 (.f64 (/.f64 (.f64 a b_2) (*.f64 c -1/2)) (/.f64 1 a)))
(/.f64 (+.f64 (.f64 -2 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2))) a)
(/.f64 (/.f64 (-.f64 0 (.f64 c a)) (+.f64 b_2 (+.f64 b_2 (.f64 -1/2 (/.f64 c (/.f64 b_2 a)))))) a)
(/.f64 (/.f64 (-.f64 0 (.f64 c a)) (+.f64 b_2 (+.f64 b_2 (.f64 -1/2 (/.f64 (*.f64 c a) b_2))))) a)
(.f64 2 (/.f64 (.f64 c b_2) (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (*.f64 c a))))
(/.f64 (/.f64 (-.f64 0 (.f64 c a)) (+.f64 b_2 (+.f64 (.f64 -1 b_2) (.f64 1/2 (/.f64 (.f64 c a) b_2))))) a)
(/.f64 (.f64 2 (/.f64 (.f64 c (.f64 a b_2)) (-.f64 (.f64 4 (+.f64 (.f64 -1 (.f64 c a)) (.f64 c a))) (.f64 c a)))) a)
(/.f64 (/.f64 (-.f64 (.f64 b_2 b_2) (+.f64 (.f64 c a) (.f64 b_2 b_2))) (-.f64 (+.f64 b_2 (.f64 -1/2 (/.f64 c (/.f64 b_2 a)))) (neg.f64 b_2))) a)
(/.f64 (/.f64 (-.f64 (.f64 b_2 b_2) (+.f64 (.f64 c a) (.f64 b_2 b_2))) (-.f64 (+.f64 b_2 (.f64 -1/2 (/.f64 (*.f64 c a) b_2))) (neg.f64 b_2))) a)
(/.f64 (/.f64 (-.f64 (.f64 b_2 b_2) (+.f64 (.f64 c a) (.f64 b_2 b_2))) (-.f64 (+.f64 (.f64 -1 b_2) (.f64 1/2 (/.f64 (.f64 c a) b_2))) (neg.f64 b_2))) a)
(/.f64 (sqrt.f64 (-.f64 0 (*.f64 c a))) a)
(/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)
(.f64 (/.f64 1 a) (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2))
(.f64 (/.f64 1 a) (-.f64 (cbrt.f64 (.f64 (*.f64 b_2 b_2) b_2)) b_2))

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

Calls

3 calls:

282.0ms	c
266.0ms	a
115.0ms	b_2

Results

Error	Segments	Branch
31.4b	10	`a`
11.4b	3	`b_2`
30.4b	9	`c`

Compiler

Compiled 485 to 235 computations (51.5% saved)

bsearch53.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
29.0ms	3.119176310240665e-112	1.828517013500353e-106
23.0ms	-2.7270738689857068e-95	-4.628161224603798e-96

Results

33.0ms	215×	body	256	valid
8.0ms	76×	body	256	invalid
3.0ms	10×	body	1024	valid
3.0ms	14×	body	512	valid
0.0ms	1×	body	2048	valid

Compiler

Compiled 352 to 255 computations (27.6% saved)

regimes732.0ms (4.8%)

Counts

38 → 3

Calls

Call 1

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

Outputs
(/.f64 b_2 (/.f64 a -2))
(/.f64 (sqrt.f64 (-.f64 0 (*.f64 c a))) a)
(*.f64 -1/2 (/.f64 c b_2))

Calls

3 calls:

464.0ms	a
196.0ms	c
61.0ms	b_2

Results

Error	Segments	Branch
31.4b	10	`a`
11.7b	3	`b_2`
30.5b	9	`c`

Compiler

Compiled 453 to 222 computations (51% saved)

bsearch53.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
38.0ms	3.119176310240665e-112	1.828517013500353e-106
15.0ms	-2.7270738689857068e-95	-4.628161224603798e-96

Results

33.0ms	203×	body	256	valid
7.0ms	67×	body	256	invalid
6.0ms	22×	body	1024	valid
3.0ms	14×	body	512	valid
0.0ms	1×	body	2048	valid

Compiler

Compiled 337 to 255 computations (24.3% saved)

regimes220.0ms (1.5%)

Counts

37 → 2

Calls

Call 1

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

Outputs
(/.f64 b_2 (/.f64 a -2))
(*.f64 -1/2 (/.f64 c b_2))

Calls

3 calls:

136.0ms	a
41.0ms	c
32.0ms	b_2

Results

Error	Segments	Branch
33.7b	9	`a`
24.4b	2	`b_2`
37.7b	2	`c`

Compiler

Compiled 445 to 218 computations (51% saved)

bsearch28.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
27.0ms	1.1454872583238177e-249	5.995399683374796e-244

Results

17.0ms	142×	body	256	valid
8.0ms	76×	body	256	invalid
1.0ms	2×	body	512	valid

Compiler

Compiled 184 to 141 computations (23.4% saved)

regimes60.0ms (0.4%)

Counts

6 → 2

Calls

Call 1

Inputs
0
(/.f64 (neg.f64 b_2) a)
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 -1/2 b_2) c)
(/.f64 -2 (/.f64 a b_2))
(/.f64 -1/2 (/.f64 b_2 c))

Outputs
(/.f64 -2 (/.f64 a b_2))
(*.f64 -1/2 (/.f64 c b_2))

Calls

3 calls:

37.0ms	a
11.0ms	c
10.0ms	b_2

Results

Error	Segments	Branch
33.8b	9	`a`
24.4b	2	`b_2`
37.7b	2	`c`

Compiler

Compiled 40 to 27 computations (32.5% saved)

bsearch27.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
27.0ms	1.1454872583238177e-249	5.995399683374796e-244

Results

16.0ms	143×	body	256	valid
9.0ms	68×	body	256	invalid
0.0ms	1×	body	512	valid

Compiler

Compiled 184 to 141 computations (23.4% saved)

regimes18.0ms (0.1%)

Counts

4 → 2

Calls

Call 1

Inputs
0
(/.f64 (neg.f64 b_2) a)
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 -1/2 b_2) c)

Outputs
(/.f64 (neg.f64 b_2) a)
(*.f64 -1/2 (/.f64 c b_2))

Calls

3 calls:

7.0ms	b_2
5.0ms	c
5.0ms	a

Results

Error	Segments	Branch
39.3b	1	`a`
36.4b	2	`b_2`
39.3b	1	`c`

Compiler

Compiled 30 to 21 computations (30% saved)

bsearch31.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
30.0ms	1.1454872583238177e-249	5.995399683374796e-244

Results

18.0ms	144×	body	256	valid
10.0ms	94×	body	256	invalid

Compiler

Compiled 175 to 132 computations (24.6% saved)

regimes19.0ms (0.1%)

Accuracy

Total -11.2b remaining (-21.8%)

Threshold costs -11.2b (-21.8%)

Counts

2 → 2

Calls

Call 1

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

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

Calls

3 calls:

10.0ms	c
6.0ms	b_2
3.0ms	a

Results

Error	Segments	Branch
54.0b	1	`a`
51.3b	2	`b_2`
54.0b	1	`c`

Compiler

Compiled 20 to 15 computations (25% saved)

bsearch28.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
28.0ms	2.7371481748278846e-101	1.8036452125900348e-96

Results

14.0ms	114×	body	256	valid
4.0ms	43×	body	256	invalid
4.0ms	15×	body	1024	valid
2.0ms	13×	body	512	valid
1.0ms	2×	body	2048	valid

Compiler

Compiled 139 to 114 computations (18% saved)

simplify19.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

28×	`+-commutative`
26×	`*-commutative`
20×	`sub-neg`
14×	`neg-mul-1`
12×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	515
1	109	515
2	127	515
3	138	515
4	144	515
5	147	515
6	148	515

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 b_2 -13000000000000000820620954370209321019419013689360840305716286965548279119394216856551265106459745058816) (+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2))) (if (<=.f64 b_2 7475102707912205/37375513539561023231108477793896786533525327931380202951304745106630862169773485150256437750311906506986637800026885384689161869077507588081685801531164378630160340372359290471078905382884178132992) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (if (<=.f64 b_2 750000000000000005759802795774477226800149574436992572489222586368) (/.f64 (/.f64 (-.f64 0 (.f64 c a)) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))) a) (.f64 -1/2 (/.f64 c b_2)))))
(if (<=.f64 b_2 -10199999999999999144250989793269130915929985559700279936955770445581686411664085978843893938044698361856) (+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2))) (if (<=.f64 b_2 6346137300386387/42307582002575910332922579714097346549017899709713998034217522897561970639123926132812109468141778230245837569601494931472384) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (*.f64 -1/2 (/.f64 c b_2))))
(if (<=.f64 b_2 -6012269011901013/601226901190101306339707032778070279008174732520529886901066488712245510429339761526706943586500787976175353856) (/.f64 b_2 (/.f64 a -2)) (if (<=.f64 b_2 4230758200257591/661055968790248598951915308032771039828404682964281219284648795274405791236311345825189210439715284847591212025023358304256) (/.f64 (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2) a) (.f64 -1/2 (/.f64 c b_2))))
(if (<=.f64 b_2 -5561348836008437/300613450595050653169853516389035139504087366260264943450533244356122755214669880763353471793250393988087676928) (/.f64 b_2 (/.f64 a -2)) (if (<=.f64 b_2 7436879648890297/41315998049390537434494706752048189989275292685267576205290549704650361952269459114074325652482205302974450751563959894016) (/.f64 (sqrt.f64 (-.f64 0 (.f64 c a))) a) (.f64 -1/2 (/.f64 c b_2))))
(if (<=.f64 b_2 3148880786512287/62977615730245738786737893213810516180854717020526113763804520252546537227240188059141308771092556464037227033764973721370976872384868328243558285053126761544750533580661426087466659268906884318950680840994261312979224716752953736643600094171409186898414919483392) (/.f64 b_2 (/.f64 a -2)) (*.f64 -1/2 (/.f64 c b_2)))
(if (<=.f64 b_2 2317576258873043/2015283703367863641175612582841936517787350944656835640441744648081489191271686017892521880674961806849191265080479159083871259916315786503793865121700056369432017074581165634798933096605020298206421786911816362015335190936094519572595203013485093980749277423468544) (/.f64 -2 (/.f64 a b_2)) (*.f64 -1/2 (/.f64 c b_2)))
(if (<=.f64 b_2 3075078893078405/123003155723136208567847447683223664415731869180715065944930703618254955521953492303010368693540149343822709050322214299552689203876695953600699775494388206142090885899729347827083318884583758435450548517566916626912548274908112766882031433928533568160966639616) (/.f64 (neg.f64 b_2) a) (*.f64 -1/2 (/.f64 c b_2)))
(if (<=.f64 b_2 8668441363206785/19701003098197239606139520050071806902539869635232723333974146702122860885748605305707133127442457820403313995153408) (/.f64 (neg.f64 b_2) a) 0)
0

Outputs
(if (<=.f64 b_2 -13000000000000000820620954370209321019419013689360840305716286965548279119394216856551265106459745058816) (+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2))) (if (<=.f64 b_2 7475102707912205/37375513539561023231108477793896786533525327931380202951304745106630862169773485150256437750311906506986637800026885384689161869077507588081685801531164378630160340372359290471078905382884178132992) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (if (<=.f64 b_2 750000000000000005759802795774477226800149574436992572489222586368) (/.f64 (/.f64 (-.f64 0 (.f64 c a)) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))) a) (.f64 -1/2 (/.f64 c b_2)))))
(if (<=.f64 b_2 -13000000000000000820620954370209321019419013689360840305716286965548279119394216856551265106459745058816) (+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2))) (if (<=.f64 b_2 7475102707912205/37375513539561023231108477793896786533525327931380202951304745106630862169773485150256437750311906506986637800026885384689161869077507588081685801531164378630160340372359290471078905382884178132992) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (if (<=.f64 b_2 750000000000000005759802795774477226800149574436992572489222586368) (/.f64 (/.f64 (.f64 c (neg.f64 a)) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) a) (.f64 (/.f64 c b_2) -1/2))))
(if (<=.f64 b_2 -10199999999999999144250989793269130915929985559700279936955770445581686411664085978843893938044698361856) (+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2))) (if (<=.f64 b_2 6346137300386387/42307582002575910332922579714097346549017899709713998034217522897561970639123926132812109468141778230245837569601494931472384) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (*.f64 -1/2 (/.f64 c b_2))))
(if (<=.f64 b_2 -10199999999999999144250989793269130915929985559700279936955770445581686411664085978843893938044698361856) (+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2))) (if (<=.f64 b_2 6346137300386387/42307582002575910332922579714097346549017899709713998034217522897561970639123926132812109468141778230245837569601494931472384) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (*.f64 (/.f64 c b_2) -1/2)))
(if (<=.f64 b_2 -6012269011901013/601226901190101306339707032778070279008174732520529886901066488712245510429339761526706943586500787976175353856) (/.f64 b_2 (/.f64 a -2)) (if (<=.f64 b_2 4230758200257591/661055968790248598951915308032771039828404682964281219284648795274405791236311345825189210439715284847591212025023358304256) (/.f64 (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2) a) (.f64 -1/2 (/.f64 c b_2))))
(if (<=.f64 b_2 -6012269011901013/601226901190101306339707032778070279008174732520529886901066488712245510429339761526706943586500787976175353856) (/.f64 b_2 (/.f64 a -2)) (if (<=.f64 b_2 4230758200257591/661055968790248598951915308032771039828404682964281219284648795274405791236311345825189210439715284847591212025023358304256) (/.f64 (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2) a) (.f64 (/.f64 c b_2) -1/2)))
(if (<=.f64 b_2 -5561348836008437/300613450595050653169853516389035139504087366260264943450533244356122755214669880763353471793250393988087676928) (/.f64 b_2 (/.f64 a -2)) (if (<=.f64 b_2 7436879648890297/41315998049390537434494706752048189989275292685267576205290549704650361952269459114074325652482205302974450751563959894016) (/.f64 (sqrt.f64 (-.f64 0 (.f64 c a))) a) (.f64 -1/2 (/.f64 c b_2))))
(if (<=.f64 b_2 -5561348836008437/300613450595050653169853516389035139504087366260264943450533244356122755214669880763353471793250393988087676928) (/.f64 b_2 (/.f64 a -2)) (if (<=.f64 b_2 7436879648890297/41315998049390537434494706752048189989275292685267576205290549704650361952269459114074325652482205302974450751563959894016) (/.f64 (sqrt.f64 (.f64 c (neg.f64 a))) a) (.f64 (/.f64 c b_2) -1/2)))
(if (<=.f64 b_2 3148880786512287/62977615730245738786737893213810516180854717020526113763804520252546537227240188059141308771092556464037227033764973721370976872384868328243558285053126761544750533580661426087466659268906884318950680840994261312979224716752953736643600094171409186898414919483392) (/.f64 b_2 (/.f64 a -2)) (*.f64 -1/2 (/.f64 c b_2)))
(if (<=.f64 b_2 3148880786512287/62977615730245738786737893213810516180854717020526113763804520252546537227240188059141308771092556464037227033764973721370976872384868328243558285053126761544750533580661426087466659268906884318950680840994261312979224716752953736643600094171409186898414919483392) (/.f64 b_2 (/.f64 a -2)) (*.f64 (/.f64 c b_2) -1/2))
(if (<=.f64 b_2 2317576258873043/2015283703367863641175612582841936517787350944656835640441744648081489191271686017892521880674961806849191265080479159083871259916315786503793865121700056369432017074581165634798933096605020298206421786911816362015335190936094519572595203013485093980749277423468544) (/.f64 -2 (/.f64 a b_2)) (*.f64 -1/2 (/.f64 c b_2)))
(if (<=.f64 b_2 2317576258873043/2015283703367863641175612582841936517787350944656835640441744648081489191271686017892521880674961806849191265080479159083871259916315786503793865121700056369432017074581165634798933096605020298206421786911816362015335190936094519572595203013485093980749277423468544) (/.f64 -2 (/.f64 a b_2)) (*.f64 (/.f64 c b_2) -1/2))
(if (<=.f64 b_2 3075078893078405/123003155723136208567847447683223664415731869180715065944930703618254955521953492303010368693540149343822709050322214299552689203876695953600699775494388206142090885899729347827083318884583758435450548517566916626912548274908112766882031433928533568160966639616) (/.f64 (neg.f64 b_2) a) (*.f64 -1/2 (/.f64 c b_2)))
(if (<=.f64 b_2 3075078893078405/123003155723136208567847447683223664415731869180715065944930703618254955521953492303010368693540149343822709050322214299552689203876695953600699775494388206142090885899729347827083318884583758435450548517566916626912548274908112766882031433928533568160966639616) (/.f64 (neg.f64 b_2) a) (*.f64 (/.f64 c b_2) -1/2))
(if (<=.f64 b_2 8668441363206785/19701003098197239606139520050071806902539869635232723333974146702122860885748605305707133127442457820403313995153408) (/.f64 (neg.f64 b_2) a) 0)
0

Compiler

Compiled 223 to 143 computations (35.9% saved)

soundness1.7s (11.2%)

Algorithm

6×	egg-herbie

Rules

1500×	`associate-r`
1296×	`associate-l`
1102×	`associate-r`
1030×	`associate-+l-`
930×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	39
1	26	35
2	44	35
3	77	35
4	119	35
5	234	35
6	425	35
7	714	35
8	1198	35
9	1753	35
10	2156	35
11	3722	35
12	5085	35
13	5924	35
14	5932	35
15	5946	35
16	5974	35
17	5990	35
18	6026	35
19	6049	35
20	6061	35
0	13	39
1	26	35
2	44	35
3	77	35
4	119	35
5	234	35
6	425	35
7	714	35
8	1198	35
9	1753	35
10	2156	35
11	3722	35
12	5085	35
13	5924	35
14	5932	35
15	5946	35
16	5974	35
17	5990	35
18	6026	35
19	6049	35
20	6061	35
0	13	39
1	26	35
2	44	35
3	77	35
4	119	35
5	234	35
6	425	35
7	714	35
8	1198	35
9	1753	35
10	2156	35
11	3722	35
12	5085	35
13	5924	35
14	5932	35
15	5946	35
16	5974	35
17	5990	35
18	6026	35
19	6049	35
20	6061	35
0	865	22556
1	2413	21450
0	1165	35503
1	3435	33909
0	13	39
1	26	35
2	44	35
3	77	35
4	119	35
5	234	35
6	425	35
7	714	35
8	1198	35
9	1753	35
10	2156	35
11	3722	35
12	5085	35
13	5924	35
14	5932	35
15	5946	35
16	5974	35
17	5990	35
18	6026	35
19	6049	35
20	6061	35

Stop Event

1×	saturated
1×	node limit
1×	node limit
1×	saturated
1×	saturated
1×	saturated

Compiler

Compiled 438 to 119 computations (72.8% saved)

end106.0ms (0.7%)

Compiler: Compiled 199 to 99 computations (50.3% saved)