Details

analyze528.0ms (2.2%)

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)

sample3.2s (13.6%)

Results

1.1s	5557×	body	256	valid
698.0ms	1160×	body	2048	valid
565.0ms	451×	body	4096	valid
341.0ms	717×	body	1024	valid
265.0ms	1143×	body	256	invalid
122.0ms	371×	body	512	valid
76.0ms	386×	body	256	infinite

Bogosity

preprocess123.0ms (0.5%)

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)

simplify178.0ms (0.7%)

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

36.0b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	36.0b	(/.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)
✓	0.6b	(-.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)
✓	23.7b	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

Compiler

Compiled 49 to 9 computations (81.6% saved)

series16.0ms (0.1%)

Counts

4 → 96

Calls

36 calls:

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

rewrite167.0ms (0.7%)

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)))))))

simplify219.0ms (0.9%)

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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(fma.f64 1 (-.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))
(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)

eval215.0ms (0.9%)

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

prune185.0ms (0.8%)

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	547	19	566
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	547	20	567

Error

6.0b

Counts

567 → 20

Alt Table

Click to see full alt table

Status	Error	Program
	43.7b	(fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (/.f64 -1/2 (/.f64 b_2 c)))
	36.1b	(pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) -1)
	51.3b	(pow.f64 (sqrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)) 2)
▶	45.5b	(/.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)
	51.8b	(/.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) (sqrt.f64 a)) (sqrt.f64 a))
	46.2b	(/.f64 (/.f64 (.f64 (.f64 c -1/2) a) b_2) a)
	36.7b	(/.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 2) b_2) a)
✓	36.0b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
▶	36.0b	(/.f64 (-.f64 (sqrt.f64 (+.f64 (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (.f64 a (neg.f64 c))) (.f64 a c))) b_2) a)
	45.1b	(/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)
▶	52.2b	(/.f64 (-.f64 (sqrt.f64 (*.f64 b_2 b_2)) b_2) a)
	56.7b	(/.f64 (-.f64 b_2 b_2) a)
	48.0b	(/.f64 (+.f64 (.f64 -2 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2))) a)
▶	45.7b	(/.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) a)
	38.0b	(/.f64 -1/2 (/.f64 b_2 c))
	36.3b	(-.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a) (/.f64 b_2 a))
	47.1b	(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
	36.1b	(.f64 (/.f64 1 a) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2))
	37.9b	(*.f64 -1/2 (/.f64 c b_2))
▶	46.8b	(*.f64 -2 (/.f64 b_2 a))

Compiler

Compiled 587 to 371 computations (36.8% saved)

localize27.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(+.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (*.f64 a (neg.f64 c)))
✓	1.2b	(-.f64 (sqrt.f64 (+.f64 (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (.f64 a (neg.f64 c))) (.f64 a c))) b_2)
✓	5.2b	(+.f64 (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (.f64 a (neg.f64 c))) (.f64 a c))
✓	23.7b	(sqrt.f64 (+.f64 (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (.f64 a (neg.f64 c))) (.f64 a c)))

Compiler

Compiled 110 to 13 computations (88.2% saved)

series6.0ms (0%)

Counts

4 → 112

Calls

36 calls:

Time	Variable		Point	Expression
0.0ms	a	@	-inf	(sqrt.f64 (+.f64 (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (.f64 a (neg.f64 c))) (.f64 a c)))
0.0ms	b_2	@	0	(sqrt.f64 (+.f64 (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (.f64 a (neg.f64 c))) (.f64 a c)))
0.0ms	a	@	inf	(sqrt.f64 (+.f64 (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (.f64 a (neg.f64 c))) (.f64 a c)))
0.0ms	c	@	inf	(sqrt.f64 (+.f64 (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (.f64 a (neg.f64 c))) (.f64 a c)))
0.0ms	c	@	-inf	(sqrt.f64 (+.f64 (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (.f64 a (neg.f64 c))) (.f64 a c)))

rewrite124.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1172×	`associate-+l+`
548×	`associate-+l-`
394×	`associate--l+`
390×	`+-commutative`
386×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	190
1	350	78
2	5752	78

Stop Event

1×	node limit

Counts

4 → 308

Calls

Call 1

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

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

simplify190.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1172×	`associate-+l+`
928×	`+-commutative`
716×	`associate-r`
668×	`associate-+r+`
562×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	718	21672
1	2000	18528

Stop Event

1×	node limit

Counts

420 → 607

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 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(pow.f64 b_2 2)
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(pow.f64 b_2 2)
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(pow.f64 b_2 2)
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(.f64 -1 (.f64 c a))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(.f64 -1 (.f64 c a))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(pow.f64 b_2 2)
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(.f64 -1 (.f64 c a))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(.f64 -1 (.f64 c a))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(.f64 (sqrt.f64 (.f64 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)))
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(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 b_2 b_2 (.f64 a c)) 3/2) (pow.f64 b_2 3))) (neg.f64 (+.f64 (fma.f64 b_2 b_2 (.f64 a c)) (.f64 b_2 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))))))))
(pow.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) 1)
(pow.f64 (sqrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)) 2)
(pow.f64 (cbrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)) 3)
(pow.f64 (pow.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) 2))
(log.f64 (exp.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2))))
(cbrt.f64 (pow.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) 3))
(expm1.f64 (log1p.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)))
(exp.f64 (log.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)))
(exp.f64 (.f64 (log.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) b_2)) 1))
(log1p.f64 (expm1.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)))
(fma.f64 1 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) (neg.f64 b_2))
(fma.f64 (pow.f64 (fma.f64 b_2 b_2 (.f64 a c)) 1/4) (pow.f64 (fma.f64 b_2 b_2 (.f64 a c)) 1/4) (neg.f64 b_2))
(fma.f64 (cbrt.f64 (fma.f64 b_2 b_2 (.f64 a c))) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c)))) (neg.f64 b_2))
(-.f64 (.f64 b_2 b_2) (.f64 a (+.f64 c c)))
(-.f64 (.f64 b_2 b_2) (-.f64 (+.f64 (.f64 a c) (.f64 a (+.f64 c c))) (+.f64 (.f64 a c) (*.f64 a (+.f64 c c)))))
(-.f64 (.f64 b_2 b_2) (-.f64 (.f64 a (+.f64 c c)) (*.f64 a (+.f64 c c))))
(-.f64 (.f64 b_2 b_2) (-.f64 (.f64 a (+.f64 c c)) (fma.f64 (neg.f64 a) c (*.f64 a c))))
(-.f64 (.f64 b_2 b_2) (-.f64 (.f64 a (+.f64 c c)) (fma.f64 (.f64 a c) 1 (.f64 a c))))
(-.f64 (.f64 b_2 b_2) (-.f64 (.f64 a (+.f64 c c)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 a c))) (sqrt.f64 (.f64 a c)) (*.f64 a c))))
(-.f64 (.f64 b_2 b_2) (-.f64 (.f64 a (+.f64 c c)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 a c))) (cbrt.f64 (pow.f64 (.f64 a c) 2)) (*.f64 a c))))
(-.f64 (fma.f64 b_2 b_2 (.f64 a c)) (.f64 a c))
(-.f64 (fma.f64 b_2 b_2 (.f64 a c)) (+.f64 (.f64 a c) (*.f64 a (+.f64 c c))))
(-.f64 (fma.f64 b_2 b_2 (.f64 a c)) (-.f64 (.f64 a (+.f64 c c)) (+.f64 (.f64 a c) (.f64 a (+.f64 c c)))))
(-.f64 (fma.f64 b_2 b_2 (.f64 a c)) (-.f64 (.f64 a c) (fma.f64 (neg.f64 a) c (*.f64 a c))))
(-.f64 (fma.f64 b_2 b_2 (.f64 a c)) (-.f64 (.f64 a c) (fma.f64 (.f64 a c) 1 (.f64 a c))))
(-.f64 (fma.f64 b_2 b_2 (.f64 a c)) (-.f64 (.f64 a c) (fma.f64 (neg.f64 (sqrt.f64 (.f64 a c))) (sqrt.f64 (.f64 a c)) (*.f64 a c))))
(-.f64 (fma.f64 b_2 b_2 (.f64 a c)) (-.f64 (.f64 a c) (fma.f64 (neg.f64 (cbrt.f64 (.f64 a c))) (cbrt.f64 (pow.f64 (.f64 a c) 2)) (*.f64 a c))))
(-.f64 (fma.f64 a c (fma.f64 b_2 b_2 (.f64 a c))) (.f64 a (+.f64 c c)))
(-.f64 (fma.f64 a c (fma.f64 b_2 b_2 (.f64 a c))) (fma.f64 (neg.f64 a) c (.f64 a c)))
(-.f64 (fma.f64 a c (fma.f64 b_2 b_2 (.f64 a c))) (fma.f64 (.f64 a c) 1 (*.f64 a c)))
(-.f64 (fma.f64 a c (fma.f64 b_2 b_2 (.f64 a c))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 a c))) (sqrt.f64 (.f64 a c)) (.f64 a c)))
(-.f64 (fma.f64 a c (fma.f64 b_2 b_2 (.f64 a c))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 a c))) (cbrt.f64 (pow.f64 (.f64 a c) 2)) (.f64 a c)))
(-.f64 0 (-.f64 (.f64 a (+.f64 c c)) (.f64 b_2 b_2)))
(-.f64 (exp.f64 (log1p.f64 (.f64 a c))) (-.f64 1 (fma.f64 b_2 b_2 (.f64 a c))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 a c (fma.f64 b_2 b_2 (*.f64 a c))))) 1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 a c (fma.f64 b_2 b_2 (.f64 a c))))) (-.f64 1 (.f64 a (+.f64 c c))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 a c (fma.f64 b_2 b_2 (.f64 a c))))) (-.f64 1 (fma.f64 (neg.f64 a) c (.f64 a c))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 a c (fma.f64 b_2 b_2 (.f64 a c))))) (-.f64 1 (fma.f64 (.f64 a c) 1 (*.f64 a c))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 a c (fma.f64 b_2 b_2 (.f64 a c))))) (-.f64 1 (fma.f64 (neg.f64 (sqrt.f64 (.f64 a c))) (sqrt.f64 (.f64 a c)) (.f64 a c))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 a c (fma.f64 b_2 b_2 (.f64 a c))))) (-.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (.f64 a c))) (cbrt.f64 (pow.f64 (.f64 a c) 2)) (.f64 a c))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 b_2 b_2 (.f64 a c)))) (+.f64 (.f64 a c) 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 b_2 b_2 (.f64 a c)))) (-.f64 1 (+.f64 (.f64 a c) (*.f64 a (+.f64 c c)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 b_2 b_2))) (-.f64 1 (.f64 a (+.f64 c c))))
(-.f64 (exp.f64 (log1p.f64 (.f64 b_2 b_2))) (-.f64 1 (neg.f64 (.f64 a (+.f64 c c)))))
(-.f64 (/.f64 (pow.f64 b_2 4) (fma.f64 b_2 b_2 (.f64 a c))) (-.f64 (/.f64 (pow.f64 (.f64 a c) 2) (fma.f64 b_2 b_2 (.f64 a c))) (.f64 a c)))
(-.f64 (/.f64 (pow.f64 b_2 4) (fma.f64 b_2 b_2 (.f64 a c))) (-.f64 (/.f64 (pow.f64 (.f64 a c) 2) (fma.f64 b_2 b_2 (.f64 a c))) (+.f64 (.f64 a c) (*.f64 a (+.f64 c c)))))
(-.f64 (/.f64 (pow.f64 b_2 6) (+.f64 (pow.f64 b_2 4) (.f64 (fma.f64 b_2 b_2 (.f64 a c)) (.f64 a c)))) (-.f64 (/.f64 (pow.f64 (.f64 a c) 3) (+.f64 (pow.f64 b_2 4) (.f64 (fma.f64 b_2 b_2 (.f64 a c)) (.f64 a c)))) (.f64 a c)))
(-.f64 (/.f64 (pow.f64 b_2 6) (+.f64 (pow.f64 b_2 4) (.f64 (fma.f64 b_2 b_2 (.f64 a c)) (.f64 a c)))) (-.f64 (/.f64 (pow.f64 (.f64 a c) 3) (+.f64 (pow.f64 b_2 4) (.f64 (fma.f64 b_2 b_2 (.f64 a c)) (.f64 a c)))) (+.f64 (.f64 a c) (*.f64 a (+.f64 c c)))))
(-.f64 (/.f64 (pow.f64 (fma.f64 a c (fma.f64 b_2 b_2 (.f64 a c))) 2) (fma.f64 b_2 b_2 (.f64 a c))) (-.f64 (/.f64 (pow.f64 (.f64 a c) 2) (fma.f64 b_2 b_2 (.f64 a c))) (*.f64 a c)))
(-.f64 (/.f64 (pow.f64 (fma.f64 a c (fma.f64 b_2 b_2 (.f64 a c))) 2) (fma.f64 b_2 b_2 (.f64 a c))) (-.f64 (/.f64 (pow.f64 (.f64 a c) 2) (fma.f64 b_2 b_2 (.f64 a c))) (+.f64 (.f64 a c) (.f64 a (+.f64 c c)))))
(-.f64 (/.f64 (pow.f64 (fma.f64 b_2 b_2 (.f64 a c)) 2) (fma.f64 a c (fma.f64 b_2 b_2 (.f64 a c)))) (/.f64 (pow.f64 (.f64 a c) 2) (fma.f64 a c (fma.f64 b_2 b_2 (.f64 a c)))))
(-.f64 (/.f64 (pow.f64 (fma.f64 b_2 b_2 (.f64 a c)) 2) (fma.f64 a c (fma.f64 b_2 b_2 (.f64 a c)))) (-.f64 (/.f64 (pow.f64 (.f64 a c) 2) (fma.f64 a c (fma.f64 b_2 b_2 (.f64 a c)))) (*.f64 a (+.f64 c c))))
(-.f64 (/.f64 (pow.f64 (fma.f64 b_2 b_2 (.f64 a c)) 2) (fma.f64 a c (fma.f64 b_2 b_2 (.f64 a c)))) (-.f64 (/.f64 (pow.f64 (.f64 a c) 2) (fma.f64 a c (fma.f64 b_2 b_2 (.f64 a c)))) (fma.f64 (neg.f64 a) c (*.f64 a c))))
(-.f64 (/.f64 (pow.f64 (fma.f64 b_2 b_2 (.f64 a c)) 2) (fma.f64 a c (fma.f64 b_2 b_2 (.f64 a c)))) (-.f64 (/.f64 (pow.f64 (.f64 a c) 2) (fma.f64 a c (fma.f64 b_2 b_2 (.f64 a c)))) (fma.f64 (.f64 a c) 1 (.f64 a c))))
(-.f64 (/.f64 (pow.f64 (fma.f64 b_2 b_2 (.f64 a c)) 2) (fma.f64 a c (fma.f64 b_2 b_2 (.f64 a c)))) (-.f64 (/.f64 (pow.f64 (.f64 a c) 2) (fma.f64 a c (fma.f64 b_2 b_2 (.f64 a c)))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 a c))) (sqrt.f64 (.f64 a c)) (*.f64 a c))))
(-.f64 (/.f64 (pow.f64 (fma.f64 b_2 b_2 (.f64 a c)) 2) (fma.f64 a c (fma.f64 b_2 b_2 (.f64 a c)))) (-.f64 (/.f64 (pow.f64 (.f64 a c) 2) (fma.f64 a c (fma.f64 b_2 b_2 (.f64 a c)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 a c))) (cbrt.f64 (pow.f64 (.f64 a c) 2)) (*.f64 a c))))
(-.f64 (+.f64 (fma.f64 b_2 b_2 (.f64 a c)) 0) (.f64 a c))
(-.f64 (+.f64 (fma.f64 b_2 b_2 (.f64 a c)) (exp.f64 (log1p.f64 (.f64 a c)))) 1)
(-.f64 (+.f64 (.f64 a c) (exp.f64 (log1p.f64 (fma.f64 b_2 b_2 (.f64 a c))))) 1)
(-.f64 (+.f64 (.f64 a c) (/.f64 (pow.f64 b_2 4) (fma.f64 b_2 b_2 (.f64 a c)))) (/.f64 (pow.f64 (.f64 a c) 2) (fma.f64 b_2 b_2 (.f64 a c))))
(-.f64 (+.f64 (.f64 a c) (/.f64 (pow.f64 b_2 6) (+.f64 (pow.f64 b_2 4) (.f64 (fma.f64 b_2 b_2 (.f64 a c)) (.f64 a c))))) (/.f64 (pow.f64 (.f64 a c) 3) (+.f64 (pow.f64 b_2 4) (.f64 (fma.f64 b_2 b_2 (.f64 a c)) (.f64 a c)))))
(-.f64 (+.f64 (.f64 a c) (/.f64 (pow.f64 (fma.f64 a c (fma.f64 b_2 b_2 (.f64 a c))) 2) (fma.f64 b_2 b_2 (.f64 a c)))) (/.f64 (pow.f64 (.f64 a c) 2) (fma.f64 b_2 b_2 (*.f64 a c))))
(.f64 (fma.f64 a c (fma.f64 b_2 b_2 (.f64 a c))) 1)
(.f64 1 (fma.f64 a c (fma.f64 b_2 b_2 (.f64 a c))))
(.f64 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 (.f64 a c)))) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 (*.f64 a c)))))
(.f64 (cbrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 (.f64 a c)))) (pow.f64 (cbrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 (*.f64 a c)))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 (.f64 a c)))) 2) (cbrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 (*.f64 a c)))))
(.f64 (pow.f64 (fma.f64 a c (fma.f64 b_2 b_2 (.f64 a c))) 2) (/.f64 1 (fma.f64 a c (fma.f64 b_2 b_2 (*.f64 a c)))))
(.f64 (+.f64 (pow.f64 (.f64 a c) 3) (pow.f64 (fma.f64 b_2 b_2 (.f64 a c)) 3)) (/.f64 1 (+.f64 (pow.f64 b_2 4) (.f64 (fma.f64 b_2 b_2 (.f64 a c)) (.f64 a c)))))
(.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) (sqrt.f64 (.f64 a c))) (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) (sqrt.f64 (*.f64 a c))))
(/.f64 1 (/.f64 (fma.f64 a c (fma.f64 b_2 b_2 (.f64 a c))) (pow.f64 (fma.f64 a c (fma.f64 b_2 b_2 (.f64 a c))) 2)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 b_2 4) (.f64 (fma.f64 b_2 b_2 (.f64 a c)) (.f64 a c))) (+.f64 (pow.f64 (.f64 a c) 3) (pow.f64 (fma.f64 b_2 b_2 (*.f64 a c)) 3))))
(/.f64 (pow.f64 (fma.f64 a c (fma.f64 b_2 b_2 (.f64 a c))) 2) (fma.f64 a c (fma.f64 b_2 b_2 (.f64 a c))))
(/.f64 (+.f64 (pow.f64 (.f64 a c) 3) (pow.f64 (fma.f64 b_2 b_2 (.f64 a c)) 3)) (+.f64 (pow.f64 b_2 4) (.f64 (fma.f64 b_2 b_2 (.f64 a c)) (*.f64 a c))))
(/.f64 (-.f64 (pow.f64 (.f64 a c) 2) (pow.f64 (fma.f64 b_2 b_2 (.f64 a c)) 2)) (-.f64 (.f64 a (+.f64 c c)) (.f64 b_2 b_2)))
(/.f64 (-.f64 (pow.f64 (fma.f64 b_2 b_2 (.f64 a c)) 3) (pow.f64 (.f64 a c) 3)) (+.f64 (pow.f64 b_2 4) (.f64 (fma.f64 b_2 b_2 (.f64 a c)) (*.f64 a c))))
(/.f64 (-.f64 (pow.f64 b_2 4) (.f64 (.f64 a (+.f64 c c)) (.f64 a (+.f64 c c)))) (fma.f64 a c (fma.f64 b_2 b_2 (.f64 a c))))
(/.f64 (-.f64 (pow.f64 b_2 6) (pow.f64 (.f64 a (+.f64 c c)) 3)) (+.f64 (+.f64 (pow.f64 b_2 4) (.f64 (.f64 a (+.f64 c c)) (.f64 a (+.f64 c c)))) (.f64 (.f64 b_2 b_2) (*.f64 a (+.f64 c c)))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 a c (fma.f64 b_2 b_2 (.f64 a c))) 2)) (neg.f64 (fma.f64 a c (fma.f64 b_2 b_2 (.f64 a c)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 a c) 3) (pow.f64 (fma.f64 b_2 b_2 (.f64 a c)) 3))) (neg.f64 (+.f64 (pow.f64 b_2 4) (.f64 (fma.f64 b_2 b_2 (.f64 a c)) (*.f64 a c)))))
(pow.f64 (fma.f64 a c (fma.f64 b_2 b_2 (*.f64 a c))) 1)
(pow.f64 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 (*.f64 a c)))) 2)
(pow.f64 (cbrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 (*.f64 a c)))) 3)
(pow.f64 (pow.f64 (fma.f64 a c (fma.f64 b_2 b_2 (*.f64 a c))) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 a c (fma.f64 b_2 b_2 (*.f64 a c))) 2))
(log.f64 (exp.f64 (fma.f64 a c (fma.f64 b_2 b_2 (*.f64 a c)))))
(log.f64 (/.f64 (exp.f64 (fma.f64 b_2 b_2 (*.f64 a c))) (pow.f64 (exp.f64 a) c)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 a c (fma.f64 b_2 b_2 (*.f64 a c))))))
(cbrt.f64 (pow.f64 (fma.f64 a c (fma.f64 b_2 b_2 (*.f64 a c))) 3))
(expm1.f64 (log1p.f64 (fma.f64 a c (fma.f64 b_2 b_2 (*.f64 a c)))))
(exp.f64 (log.f64 (fma.f64 a c (fma.f64 b_2 b_2 (*.f64 a c)))))
(exp.f64 (.f64 (log.f64 (fma.f64 a c (fma.f64 b_2 b_2 (.f64 a c)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 a c (fma.f64 b_2 b_2 (*.f64 a c)))))
(fma.f64 b_2 b_2 (neg.f64 (*.f64 a (+.f64 c c))))
(fma.f64 a c (fma.f64 b_2 b_2 (*.f64 a c)))
(fma.f64 c a (fma.f64 b_2 b_2 (*.f64 a c)))
(fma.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) (hypot.f64 b_2 (sqrt.f64 (.f64 a c))) (*.f64 a c))
(fma.f64 1 (.f64 b_2 b_2) (neg.f64 (.f64 a (+.f64 c c))))
(fma.f64 1 (fma.f64 b_2 b_2 (.f64 a c)) (.f64 a c))
(fma.f64 1 (.f64 a c) (fma.f64 b_2 b_2 (.f64 a c)))
(fma.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 (.f64 a c)) (fma.f64 b_2 b_2 (*.f64 a c)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 b_2 b_2 (.f64 a c))) 2) (cbrt.f64 (fma.f64 b_2 b_2 (.f64 a c))) (*.f64 a c))
(fma.f64 (cbrt.f64 (pow.f64 (.f64 a c) 2)) (cbrt.f64 (.f64 a c)) (fma.f64 b_2 b_2 (*.f64 a c)))
(fma.f64 (cbrt.f64 (pow.f64 b_2 4)) (pow.f64 (cbrt.f64 b_2) 2) (neg.f64 (*.f64 a (+.f64 c c))))

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

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 7 computations (50% saved)

series2.0ms (0%)

Counts

1 → 0

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	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))

rewrite64.0ms (0.3%)

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))))))))

simplify51.0ms (0.2%)

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))

localize9.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	3.9b	(/.f64 c (/.f64 b_2 a))
✓	12.0b	(/.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) a)

Compiler

Compiled 31 to 11 computations (64.5% saved)

series8.0ms (0%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	c	@	0	(/.f64 c (/.f64 b_2 a))
1.0ms	c	@	0	(/.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) a)
1.0ms	b_2	@	inf	(/.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) a)
0.0ms	a	@	0	(/.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) a)
0.0ms	c	@	inf	(/.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) a)

rewrite84.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1584×	`associate-/r/`
920×	`swap-sqr`
712×	`associate-/l/`
558×	`distribute-lft-neg-in`
506×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	220	38
2	3207	38

Stop Event

1×	node limit

Counts

2 → 149

Calls

Call 1

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

Outputs

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

simplify115.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1132×	`distribute-rgt-in`
1130×	`distribute-lft-in`
778×	`distribute-lft-neg-in`
668×	`associate-l`
622×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	370	4505
1	1091	4357
2	4896	4341

Stop Event

1×	node limit

Counts

221 → 201

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

localize8.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	25.7b	(sqrt.f64 (*.f64 b_2 b_2))

Compiler

Compiled 26 to 7 computations (73.1% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite59.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

888×	`add-sqr-sqrt`
872×	`*-un-lft-identity`
836×	`associate-l`
820×	`pow1`
812×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	1
1	118	1
2	1162	1

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

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

Outputs

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

simplify63.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1092×	`associate-+l-`
838×	`distribute-lft-in`
734×	`distribute-rgt-in`
640×	`associate-+r+`
640×	`unswap-sqr`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	86	192
1	180	192
2	722	192
3	2433	182
4	7231	182

Stop Event

1×	node limit

Counts

50 → 48

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

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

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.9b	(+.f64 (.f64 c a) (.f64 b_2 b_2))
✓	6.5b	(/.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)))
✓	19.4b	(-.f64 (.f64 b_2 b_2) (+.f64 (.f64 c a) (*.f64 b_2 b_2)))
✓	23.7b	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))

Compiler

Compiled 106 to 13 computations (87.7% saved)

series18.0ms (0.1%)

Counts

4 → 112

Calls

36 calls:

Time	Variable		Point	Expression
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	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)))
2.0ms	b_2	@	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)))
1.0ms	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)))
1.0ms	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)))

rewrite149.0ms (0.6%)

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	130
1	357	94
2	5866	94

Stop Event

1×	node limit

Counts

4 → 412

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 c a) (.f64 b_2 b_2))

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

simplify307.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1608×	`associate-+r+`
1422×	`+-commutative`
1270×	`associate-r`
1074×	`associate-l`
804×	`associate-+l-`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	985	29614
1	2925	26996

Stop Event

1×	node limit

Counts

524 → 763

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)
(+.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 (.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)))))
(pow.f64 b_2 2)
(+.f64 (*.f64 c a) (pow.f64 b_2 2))
(+.f64 (*.f64 c a) (pow.f64 b_2 2))
(+.f64 (*.f64 c a) (pow.f64 b_2 2))
(*.f64 c a)
(+.f64 (*.f64 c a) (pow.f64 b_2 2))
(+.f64 (*.f64 c a) (pow.f64 b_2 2))
(+.f64 (*.f64 c a) (pow.f64 b_2 2))
(*.f64 c a)
(+.f64 (*.f64 c a) (pow.f64 b_2 2))
(+.f64 (*.f64 c a) (pow.f64 b_2 2))
(+.f64 (*.f64 c a) (pow.f64 b_2 2))
(pow.f64 b_2 2)
(+.f64 (*.f64 c a) (pow.f64 b_2 2))
(+.f64 (*.f64 c a) (pow.f64 b_2 2))
(+.f64 (*.f64 c a) (pow.f64 b_2 2))
(*.f64 c a)
(+.f64 (*.f64 c a) (pow.f64 b_2 2))
(+.f64 (*.f64 c a) (pow.f64 b_2 2))
(+.f64 (*.f64 c a) (pow.f64 b_2 2))
(*.f64 c a)
(+.f64 (*.f64 c a) (pow.f64 b_2 2))
(+.f64 (*.f64 c a) (pow.f64 b_2 2))
(+.f64 (*.f64 c a) (pow.f64 b_2 2))
(*.f64 c a)
(+.f64 (*.f64 c a) (pow.f64 b_2 2))
(+.f64 (*.f64 c a) (pow.f64 b_2 2))
(+.f64 (*.f64 c a) (pow.f64 b_2 2))
(pow.f64 b_2 2)
(+.f64 (*.f64 c a) (pow.f64 b_2 2))
(+.f64 (*.f64 c a) (pow.f64 b_2 2))
(+.f64 (*.f64 c a) (pow.f64 b_2 2))
(pow.f64 b_2 2)
(+.f64 (*.f64 c a) (pow.f64 b_2 2))
(+.f64 (*.f64 c a) (pow.f64 b_2 2))
(+.f64 (*.f64 c a) (pow.f64 b_2 2))
(+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) 0)
(+.f64 0 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))
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(.f64 (+.f64 (sqrt.f64 b_2) (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 b_2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (.f64 c a)))) 2) 1) (/.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (.f64 c a)))) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (.f64 c a)))) 2) (sqrt.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))))) (/.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (.f64 c a)))) (sqrt.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (.f64 c a)))) 2) (cbrt.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (.f64 c a))))) (cbrt.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))))))
(pow.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (.f64 c a))) 1/2)
(pow.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) 1)
(pow.f64 (sqrt.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))) 2)
(pow.f64 (cbrt.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))) 3)
(pow.f64 (pow.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) 3) 1/3)
(pow.f64 (/.f64 1 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))) -1)
(neg.f64 (/.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (.f64 c a))) (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))))
(sqrt.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (.f64 c a))))
(fabs.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))))
(log.f64 (exp.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))))))
(cbrt.f64 (pow.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (.f64 c a))) 3) (pow.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) 3)))
(expm1.f64 (log1p.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))))
(exp.f64 (log.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))))
(exp.f64 (.f64 (log.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))))) 1))
(log1p.f64 (expm1.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))))
(fma.f64 1 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2)
(fma.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) b_2)
(fma.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)))) b_2)
(-.f64 (.f64 c a) (.f64 b_2 b_2))
(-.f64 (.f64 c a) (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (*.f64 b_2 b_2))))
(-.f64 (.f64 c a) (-.f64 (.f64 b_2 b_2) (fma.f64 (.f64 b_2 b_2) 1 (.f64 b_2 b_2))))
(-.f64 (.f64 c a) (-.f64 (.f64 b_2 b_2) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b_2) 2)) (cbrt.f64 (pow.f64 b_2 4)) (*.f64 b_2 b_2))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 b_2 b_2 (*.f64 c a)))) 1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 b_2 b_2 (.f64 c a)))) (-.f64 1 (fma.f64 b_2 b_2 (.f64 b_2 b_2))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 b_2 b_2 (.f64 c a)))) (-.f64 1 (fma.f64 (.f64 b_2 b_2) 1 (*.f64 b_2 b_2))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 b_2 b_2 (.f64 c a)))) (-.f64 1 (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b_2) 2)) (cbrt.f64 (pow.f64 b_2 4)) (.f64 b_2 b_2))))
(-.f64 (exp.f64 (log1p.f64 (.f64 c a))) (-.f64 1 (.f64 b_2 b_2)))
(-.f64 (exp.f64 (log1p.f64 (.f64 c a))) (-.f64 1 (.f64 (neg.f64 (cbrt.f64 (pow.f64 b_2 4))) (pow.f64 (cbrt.f64 b_2) 2))))
(-.f64 (exp.f64 (log1p.f64 (.f64 b_2 b_2))) (-.f64 1 (.f64 c a)))
(-.f64 (/.f64 (pow.f64 (.f64 c a) 2) (fma.f64 b_2 b_2 (.f64 c a))) (/.f64 (pow.f64 b_2 4) (fma.f64 b_2 b_2 (*.f64 c a))))
(-.f64 (/.f64 (pow.f64 (.f64 c a) 2) (fma.f64 b_2 b_2 (.f64 c a))) (-.f64 (/.f64 (pow.f64 b_2 4) (fma.f64 b_2 b_2 (.f64 c a))) (fma.f64 b_2 b_2 (.f64 b_2 b_2))))
(-.f64 (/.f64 (pow.f64 (.f64 c a) 2) (fma.f64 b_2 b_2 (.f64 c a))) (-.f64 (/.f64 (pow.f64 b_2 4) (fma.f64 b_2 b_2 (.f64 c a))) (fma.f64 (.f64 b_2 b_2) 1 (*.f64 b_2 b_2))))
(-.f64 (/.f64 (pow.f64 (.f64 c a) 2) (fma.f64 b_2 b_2 (.f64 c a))) (-.f64 (/.f64 (pow.f64 b_2 4) (fma.f64 b_2 b_2 (.f64 c a))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b_2) 2)) (cbrt.f64 (pow.f64 b_2 4)) (.f64 b_2 b_2))))
(-.f64 (+.f64 (.f64 b_2 b_2) (exp.f64 (log1p.f64 (.f64 c a)))) 1)
(-.f64 (+.f64 (.f64 c a) (exp.f64 (log1p.f64 (.f64 b_2 b_2)))) 1)
(.f64 (fma.f64 b_2 b_2 (.f64 c a)) 1)
(.f64 1 (fma.f64 b_2 b_2 (.f64 c a)))
(.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))) (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))
(.f64 (cbrt.f64 (fma.f64 b_2 b_2 (.f64 c a))) (pow.f64 (cbrt.f64 (fma.f64 b_2 b_2 (*.f64 c a))) 2))
(.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 (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 2) (/.f64 1 (fma.f64 b_2 b_2 (*.f64 c a))))
(.f64 (+.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 6)) (/.f64 1 (-.f64 (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 2) (.f64 b_2 (.f64 b_2 (.f64 c a))))))
(.f64 (+.f64 b_2 (sqrt.f64 (.f64 c a))) (-.f64 (sqrt.f64 (*.f64 c a)) b_2))
(/.f64 1 (/.f64 (fma.f64 b_2 b_2 (.f64 c a)) (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 2)))
(/.f64 1 (/.f64 (-.f64 (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 2) (.f64 b_2 (.f64 b_2 (.f64 c a)))) (+.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) (fma.f64 b_2 b_2 (.f64 c a)))
(/.f64 (-.f64 (pow.f64 b_2 4) (pow.f64 (.f64 c a) 2)) (-.f64 (.f64 b_2 b_2) (*.f64 c a)))
(/.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 (neg.f64 (+.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 6))) (neg.f64 (-.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 (.f64 c a) 3) (pow.f64 b_2 6)) (+.f64 (pow.f64 b_2 4) (.f64 (.f64 c a) (fma.f64 b_2 b_2 (.f64 c a)))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 2)) (-.f64 (.f64 b_2 b_2) (*.f64 c a)))
(pow.f64 (fma.f64 b_2 b_2 (*.f64 c a)) 1)
(pow.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) 2)
(pow.f64 (cbrt.f64 (fma.f64 b_2 b_2 (*.f64 c a))) 3)
(pow.f64 (pow.f64 (fma.f64 b_2 b_2 (*.f64 c a)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 b_2 b_2 (*.f64 c a)) 2))
(log.f64 (exp.f64 (fma.f64 b_2 b_2 (*.f64 c a))))
(log.f64 (/.f64 (pow.f64 (exp.f64 c) a) (pow.f64 (exp.f64 b_2) b_2)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 b_2 b_2 (*.f64 c a)))))
(cbrt.f64 (pow.f64 (fma.f64 b_2 b_2 (*.f64 c a)) 3))
(expm1.f64 (log1p.f64 (fma.f64 b_2 b_2 (*.f64 c a))))
(exp.f64 (log.f64 (fma.f64 b_2 b_2 (*.f64 c a))))
(exp.f64 (.f64 (log.f64 (fma.f64 b_2 b_2 (.f64 c a))) 1))
(log1p.f64 (expm1.f64 (fma.f64 b_2 b_2 (*.f64 c a))))
(fma.f64 b_2 b_2 (*.f64 c a))
(fma.f64 c a (*.f64 b_2 b_2))
(fma.f64 a c (*.f64 b_2 b_2))
(fma.f64 1 (.f64 b_2 b_2) (.f64 c a))
(fma.f64 1 (.f64 c a) (.f64 b_2 b_2))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 (.f64 c a)) (*.f64 b_2 b_2))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 c a)) 2) (cbrt.f64 (.f64 c a)) (*.f64 b_2 b_2))
(fma.f64 (cbrt.f64 (pow.f64 b_2 4)) (pow.f64 (cbrt.f64 b_2) 2) (*.f64 c 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 (.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)))))
(+.f64 (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)))) 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))))))
(+.f64 (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))))) b_2)
(*.f64 -1 b_2)
(neg.f64 b_2)
(+.f64 (.f64 -1 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(fma.f64 -1 b_2 (*.f64 1/2 (/.f64 c (/.f64 b_2 a))))
(+.f64 (.f64 -1 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 (.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))))))
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)))))
(+.f64 (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)))) 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))))))
(+.f64 (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))))) 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 (.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)))))
(+.f64 (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)))) 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))))))
(+.f64 (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))))) b_2)
(.f64 -1 (.f64 c a))
(*.f64 a (neg.f64 c))
(*.f64 c (neg.f64 a))
(.f64 -1 (.f64 c a))
(*.f64 a (neg.f64 c))
(*.f64 c (neg.f64 a))
(.f64 -1 (.f64 c a))
(*.f64 a (neg.f64 c))
(*.f64 c (neg.f64 a))
(.f64 -1 (.f64 c a))
(*.f64 a (neg.f64 c))
(*.f64 c (neg.f64 a))
(.f64 -1 (.f64 c a))
(*.f64 a (neg.f64 c))
(*.f64 c (neg.f64 a))
(.f64 -1 (.f64 c a))
(*.f64 a (neg.f64 c))
(*.f64 c (neg.f64 a))
(.f64 -1 (.f64 c a))
(*.f64 a (neg.f64 c))
(*.f64 c (neg.f64 a))
(.f64 -1 (.f64 c a))
(*.f64 a (neg.f64 c))
(*.f64 c (neg.f64 a))
(.f64 -1 (.f64 c a))
(*.f64 a (neg.f64 c))
(*.f64 c (neg.f64 a))
(.f64 -1 (.f64 c a))
(*.f64 a (neg.f64 c))
(*.f64 c (neg.f64 a))
(.f64 -1 (.f64 c a))
(*.f64 a (neg.f64 c))
(*.f64 c (neg.f64 a))
(.f64 -1 (.f64 c a))
(*.f64 a (neg.f64 c))
(*.f64 c (neg.f64 a))
(.f64 -1 (.f64 c a))
(*.f64 a (neg.f64 c))
(*.f64 c (neg.f64 a))
(.f64 -1 (.f64 c a))
(*.f64 a (neg.f64 c))
(*.f64 c (neg.f64 a))
(.f64 -1 (.f64 c a))
(*.f64 a (neg.f64 c))
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(-.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (*.f64 b_2 b_2))
(-.f64 0 (*.f64 c a))
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(-.f64 (.f64 b_2 (+.f64 b_2 b_2)) (.f64 c a))
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(-.f64 (.f64 b_2 (+.f64 b_2 b_2)) (.f64 c a))
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(pow.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) 2)
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(pow.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) 2)
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(pow.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) 2)
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(-.f64 (fma.f64 b_2 b_2 (neg.f64 (.f64 (cbrt.f64 (pow.f64 b_2 4)) (pow.f64 (cbrt.f64 b_2) 2)))) (.f64 c a))
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(-.f64 (fma.f64 b_2 b_2 (.f64 b_2 (+.f64 b_2 b_2))) (fma.f64 c a (.f64 b_2 b_2)))
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(-.f64 (fma.f64 b_2 b_2 (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b_2) 2)) (cbrt.f64 (pow.f64 b_2 4)) (.f64 b_2 b_2))) (fma.f64 c a (.f64 b_2 b_2)))
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(-.f64 (/.f64 (pow.f64 (.f64 c a) 2) (fma.f64 b_2 b_2 (.f64 c a))) (-.f64 (/.f64 (pow.f64 b_2 4) (fma.f64 b_2 b_2 (.f64 c a))) (fma.f64 (.f64 b_2 b_2) 1 (*.f64 b_2 b_2))))
(+.f64 (-.f64 (/.f64 (pow.f64 (.f64 c a) 2) (fma.f64 c a (.f64 b_2 b_2))) (/.f64 (pow.f64 b_2 4) (fma.f64 c a (.f64 b_2 b_2)))) (fma.f64 (.f64 b_2 b_2) 1 (*.f64 b_2 b_2)))
(+.f64 (fma.f64 (.f64 b_2 b_2) 1 (.f64 b_2 b_2)) (-.f64 (/.f64 (pow.f64 (.f64 c a) 2) (fma.f64 c a (.f64 b_2 b_2))) (/.f64 (pow.f64 b_2 4) (fma.f64 c a (*.f64 b_2 b_2)))))
(-.f64 (/.f64 (pow.f64 (.f64 c a) 2) (fma.f64 b_2 b_2 (.f64 c a))) (-.f64 (/.f64 (pow.f64 b_2 4) (fma.f64 b_2 b_2 (.f64 c a))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b_2) 2)) (cbrt.f64 (pow.f64 b_2 4)) (.f64 b_2 b_2))))
(+.f64 (-.f64 (/.f64 (pow.f64 (.f64 c a) 2) (fma.f64 c a (.f64 b_2 b_2))) (/.f64 (pow.f64 b_2 4) (fma.f64 c a (.f64 b_2 b_2)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b_2) 2)) (cbrt.f64 (pow.f64 b_2 4)) (.f64 b_2 b_2)))
(+.f64 (fma.f64 b_2 b_2 (neg.f64 (.f64 (cbrt.f64 (pow.f64 b_2 4)) (pow.f64 (cbrt.f64 b_2) 2)))) (-.f64 (/.f64 (pow.f64 (.f64 c a) 2) (fma.f64 c a (.f64 b_2 b_2))) (/.f64 (pow.f64 b_2 4) (fma.f64 c a (.f64 b_2 b_2)))))
(-.f64 (+.f64 (.f64 b_2 b_2) (exp.f64 (log1p.f64 (.f64 c a)))) 1)
(-.f64 (exp.f64 (log1p.f64 (.f64 c a))) (-.f64 1 (.f64 b_2 b_2)))
(+.f64 -1 (fma.f64 b_2 b_2 (exp.f64 (log1p.f64 (*.f64 c a)))))
(-.f64 (+.f64 (.f64 c a) (exp.f64 (log1p.f64 (.f64 b_2 b_2)))) 1)
(-.f64 (exp.f64 (log1p.f64 (.f64 b_2 b_2))) (-.f64 1 (.f64 c a)))
(+.f64 -1 (fma.f64 c a (exp.f64 (log1p.f64 (*.f64 b_2 b_2)))))
(.f64 (fma.f64 b_2 b_2 (.f64 c a)) 1)
(fma.f64 c a (*.f64 b_2 b_2))
(.f64 1 (fma.f64 b_2 b_2 (.f64 c a)))
(fma.f64 c a (*.f64 b_2 b_2))
(.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))) (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))
(pow.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) 2)
(.f64 (cbrt.f64 (fma.f64 b_2 b_2 (.f64 c a))) (pow.f64 (cbrt.f64 (fma.f64 b_2 b_2 (*.f64 c a))) 2))
(fma.f64 c a (*.f64 b_2 b_2))
(.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))))
(fma.f64 c a (*.f64 b_2 b_2))
(.f64 (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 2) (/.f64 1 (fma.f64 b_2 b_2 (*.f64 c a))))
(.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) 2) (/.f64 1 (fma.f64 c a (*.f64 b_2 b_2))))
(/.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) 2) (fma.f64 c a (.f64 b_2 b_2)))
(.f64 (+.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 6)) (/.f64 1 (-.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 6) (pow.f64 (.f64 c a) 3)) (/.f64 1 (-.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) 2) (.f64 b_2 (.f64 (.f64 b_2 c) a)))))
(.f64 (+.f64 (pow.f64 b_2 6) (pow.f64 (.f64 c a) 3)) (/.f64 1 (-.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) 2) (.f64 (.f64 c a) (.f64 b_2 b_2)))))
(.f64 (+.f64 b_2 (sqrt.f64 (.f64 c a))) (-.f64 (sqrt.f64 (*.f64 c a)) b_2))
(.f64 (+.f64 (sqrt.f64 (.f64 c a)) b_2) (-.f64 (sqrt.f64 (*.f64 c a)) b_2))
(/.f64 1 (/.f64 (fma.f64 b_2 b_2 (.f64 c a)) (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 2)))
(.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) 2) (/.f64 1 (fma.f64 c a (*.f64 b_2 b_2))))
(/.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) 2) (fma.f64 c a (.f64 b_2 b_2)))
(/.f64 1 (/.f64 (-.f64 (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 2) (.f64 b_2 (.f64 b_2 (.f64 c a)))) (+.f64 (pow.f64 (*.f64 c a) 3) (pow.f64 b_2 6))))
(.f64 (+.f64 (pow.f64 b_2 6) (pow.f64 (.f64 c a) 3)) (/.f64 1 (-.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) 2) (.f64 b_2 (.f64 (.f64 b_2 c) a)))))
(.f64 (+.f64 (pow.f64 b_2 6) (pow.f64 (.f64 c a) 3)) (/.f64 1 (-.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) 2) (.f64 (.f64 c a) (.f64 b_2 b_2)))))
(/.f64 (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 2) (fma.f64 b_2 b_2 (.f64 c a)))
(.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) 2) (/.f64 1 (fma.f64 c a (*.f64 b_2 b_2))))
(/.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) 2) (fma.f64 c a (.f64 b_2 b_2)))
(/.f64 (-.f64 (pow.f64 b_2 4) (pow.f64 (.f64 c a) 2)) (-.f64 (.f64 b_2 b_2) (*.f64 c a)))
(/.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 6) (pow.f64 (.f64 c a) 3)) (-.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) 2) (.f64 b_2 (.f64 (*.f64 b_2 c) a))))
(/.f64 (+.f64 (pow.f64 b_2 6) (pow.f64 (.f64 c a) 3)) (-.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) 2) (.f64 (.f64 c a) (*.f64 b_2 b_2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 6))) (neg.f64 (-.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 (+.f64 (pow.f64 b_2 6) (pow.f64 (.f64 c a) 3))) (neg.f64 (-.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) 2) (.f64 b_2 (.f64 (*.f64 b_2 c) a)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 b_2 6) (pow.f64 (.f64 c a) 3))) (+.f64 (neg.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) 2)) (.f64 (.f64 c a) (*.f64 b_2 b_2))))
(/.f64 (-.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 6)) (+.f64 (pow.f64 b_2 4) (.f64 (.f64 c a) (fma.f64 b_2 b_2 (.f64 c a)))))
(/.f64 (-.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 6)) (+.f64 (pow.f64 b_2 4) (.f64 c (.f64 a (fma.f64 c a (.f64 b_2 b_2))))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 2)) (-.f64 (.f64 b_2 b_2) (*.f64 c a)))
(/.f64 (neg.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) 2)) (-.f64 (.f64 b_2 b_2) (*.f64 c a)))
(pow.f64 (fma.f64 b_2 b_2 (*.f64 c a)) 1)
(fma.f64 c a (*.f64 b_2 b_2))
(pow.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) 2)
(pow.f64 (cbrt.f64 (fma.f64 b_2 b_2 (*.f64 c a))) 3)
(fma.f64 c a (*.f64 b_2 b_2))
(pow.f64 (pow.f64 (fma.f64 b_2 b_2 (*.f64 c a)) 3) 1/3)
(fma.f64 c a (*.f64 b_2 b_2))
(sqrt.f64 (pow.f64 (fma.f64 b_2 b_2 (*.f64 c a)) 2))
(sqrt.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) 2))
(log.f64 (exp.f64 (fma.f64 b_2 b_2 (*.f64 c a))))
(fma.f64 c a (*.f64 b_2 b_2))
(log.f64 (/.f64 (pow.f64 (exp.f64 c) a) (pow.f64 (exp.f64 b_2) b_2)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 b_2 b_2 (*.f64 c a)))))
(fma.f64 c a (*.f64 b_2 b_2))
(cbrt.f64 (pow.f64 (fma.f64 b_2 b_2 (*.f64 c a)) 3))
(fma.f64 c a (*.f64 b_2 b_2))
(expm1.f64 (log1p.f64 (fma.f64 b_2 b_2 (*.f64 c a))))
(fma.f64 c a (*.f64 b_2 b_2))
(exp.f64 (log.f64 (fma.f64 b_2 b_2 (*.f64 c a))))
(fma.f64 c a (*.f64 b_2 b_2))
(exp.f64 (.f64 (log.f64 (fma.f64 b_2 b_2 (.f64 c a))) 1))
(fma.f64 c a (*.f64 b_2 b_2))
(log1p.f64 (expm1.f64 (fma.f64 b_2 b_2 (*.f64 c a))))
(fma.f64 c a (*.f64 b_2 b_2))
(fma.f64 b_2 b_2 (*.f64 c a))
(fma.f64 c a (*.f64 b_2 b_2))
(fma.f64 c a (*.f64 b_2 b_2))
(fma.f64 a c (*.f64 b_2 b_2))
(fma.f64 c a (*.f64 b_2 b_2))
(fma.f64 1 (.f64 b_2 b_2) (.f64 c a))
(fma.f64 1 (.f64 c a) (.f64 b_2 b_2))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 (.f64 c a)) (*.f64 b_2 b_2))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 c a)) 2) (cbrt.f64 (.f64 c a)) (*.f64 b_2 b_2))
(fma.f64 (cbrt.f64 (pow.f64 b_2 4)) (pow.f64 (cbrt.f64 b_2) 2) (*.f64 c a))

eval878.0ms (3.7%)

Compiler: Compiled 49289 to 13788 computations (72% saved)

prune1.2s (4.9%)

Pruning

47 alts after pruning (44 fresh and 3 done)

	Pruned	Kept	Total
New	1614	33	1647
Fresh	3	11	14
Picked	1	0	1
Done	2	3	5
Total	1620	47	1667

Error

6.0b

Counts

1667 → 47

Alt Table

Click to see full alt table

Status	Error	Program
	43.7b	(fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (/.f64 -1/2 (/.f64 b_2 c)))
	36.1b	(pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) -1)
	51.3b	(pow.f64 (sqrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)) 2)
	45.9b	(pow.f64 (cbrt.f64 (.f64 -1/2 (/.f64 (.f64 c (/.f64 a b_2)) a))) 3)
	45.9b	(/.f64 (pow.f64 (cbrt.f64 (.f64 c (.f64 -1/2 (/.f64 a b_2)))) 2) (/.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 (.f64 c (/.f64 (.f64 a (/.f64 -1/2 a)) b_2)))))
	63.3b	(/.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)
	61.3b	(/.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)
	51.8b	(/.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) (sqrt.f64 a)) (sqrt.f64 a))
▶	34.7b	(/.f64 (/.f64 (-.f64 0 (.f64 c a)) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))))) a)
	46.2b	(/.f64 (/.f64 (.f64 (.f64 c -1/2) a) b_2) a)
	56.9b	(/.f64 (/.f64 (*.f64 -2 b_2) (sqrt.f64 a)) (sqrt.f64 a))
	52.7b	(/.f64 (/.f64 (.f64 -2 b_2) (cbrt.f64 (.f64 a a))) (cbrt.f64 a))
	47.0b	(/.f64 (/.f64 1 (/.f64 1 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))))) a)
	46.5b	(/.f64 (/.f64 -1/2 a) (/.f64 b_2 (*.f64 c a)))
	36.1b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (-.f64 (+.f64 (.f64 a c) (.f64 a (+.f64 c c))) (.f64 (*.f64 a (+.f64 c c)) 1)))) b_2) a)
✓	36.0b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
▶	45.1b	(/.f64 (-.f64 (sqrt.f64 (*.f64 (neg.f64 c) a)) b_2) a)
	56.7b	(/.f64 (-.f64 b_2 b_2) a)
	48.0b	(/.f64 (+.f64 (.f64 -2 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2))) a)
	47.1b	(/.f64 (+.f64 b_2 (+.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) b_2)) a)
	47.2b	(/.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)
✓	45.7b	(/.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) a)
	46.3b	(/.f64 (.f64 -1/2 (.f64 (/.f64 1 b_2) (*.f64 c a))) a)
	45.6b	(/.f64 (sqrt.f64 (-.f64 0 (*.f64 c a))) a)
	44.3b	(/.f64 1 (.f64 a (.f64 (/.f64 -2 a) (/.f64 b_2 c))))
▶	44.2b	(/.f64 1/2 (/.f64 (.f64 (neg.f64 a) b_2) (.f64 c a)))
	38.0b	(/.f64 -1/2 (/.f64 b_2 c))
	46.9b	(/.f64 -2 (/.f64 a b_2))
	47.1b	(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
	44.2b	(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 c b_2) (.f64 a -1/2))) 2) a) (cbrt.f64 (.f64 (/.f64 c b_2) (*.f64 a -1/2))))
	43.4b	(.f64 (/.f64 (.f64 (*.f64 -1/2 c) (/.f64 1 a)) (/.f64 b_2 (pow.f64 (cbrt.f64 a) 2))) (cbrt.f64 a))
	43.3b	(.f64 (/.f64 (.f64 (*.f64 -1/2 c) (/.f64 1 a)) (sqrt.f64 b_2)) (/.f64 a (sqrt.f64 b_2)))
	42.5b	(.f64 (/.f64 (.f64 (*.f64 -1/2 c) (/.f64 1 a)) b_2) a)
	43.2b	(.f64 (/.f64 (.f64 -1/2 c) (/.f64 (sqrt.f64 b_2) (/.f64 1 a))) (/.f64 a (sqrt.f64 b_2)))
▶	43.2b	(.f64 (/.f64 (.f64 -1/2 c) (*.f64 (sqrt.f64 b_2) a)) (/.f64 a (sqrt.f64 b_2)))
	36.1b	(.f64 (/.f64 1 a) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2))
	45.0b	(.f64 (/.f64 -1/2 (pow.f64 (cbrt.f64 a) 2)) (/.f64 c (.f64 (cbrt.f64 a) (/.f64 b_2 a))))
	42.8b	(*.f64 (/.f64 -1/2 (/.f64 (pow.f64 (cbrt.f64 b_2) 2) (/.f64 c a))) (/.f64 a (cbrt.f64 b_2)))
	44.2b	(*.f64 (/.f64 -1/2 (/.f64 a c)) (/.f64 a b_2))
	42.6b	(.f64 (/.f64 -1/2 (.f64 (/.f64 a c) b_2)) a)
	38.0b	(.f64 c (/.f64 (.f64 a (/.f64 -1/2 a)) b_2))
	42.8b	(*.f64 -1/2 (/.f64 c (/.f64 a (/.f64 a b_2))))
▶	37.9b	(*.f64 -1/2 (/.f64 c b_2))
✓	46.8b	(*.f64 -2 (/.f64 b_2 a))
	56.0b	(fabs.f64 (*.f64 -2 (/.f64 b_2 a)))
	46.8b	(expm1.f64 (log1p.f64 (.f64 -1/2 (/.f64 (.f64 c (/.f64 a b_2)) a))))
	52.1b	(cbrt.f64 (pow.f64 (.f64 -1/2 (/.f64 (.f64 c (/.f64 a b_2)) a)) 3))

Compiler

Compiled 1459 to 961 computations (34.1% saved)

localize32.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(-.f64 (.f64 b_2 b_2) (.f64 c a))
✓	6.1b	(/.f64 (/.f64 (-.f64 0 (.f64 c a)) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))))) a)
✓	10.6b	(/.f64 (-.f64 0 (.f64 c a)) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)))))
	23.7b	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))

Compiler

Compiled 77 to 18 computations (76.6% saved)

series27.0ms (0.1%)

Counts

3 → 76

Calls

27 calls:

Time	Variable		Point	Expression
4.0ms	c	@	inf	(/.f64 (/.f64 (-.f64 0 (.f64 c a)) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))))) a)
3.0ms	c	@	-inf	(/.f64 (/.f64 (-.f64 0 (.f64 c a)) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))))) a)
3.0ms	a	@	inf	(/.f64 (-.f64 0 (.f64 c a)) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)))))
2.0ms	a	@	inf	(/.f64 (/.f64 (-.f64 0 (.f64 c a)) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))))) a)
2.0ms	a	@	-inf	(/.f64 (-.f64 0 (.f64 c a)) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)))))

rewrite180.0ms (0.8%)

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	115
1	348	91
2	5527	91

Stop Event

1×	node limit

Counts

3 → 378

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)

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

simplify455.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1602×	`associate-l`
1412×	`associate-*r/`
1332×	`associate-*l/`
1078×	`associate-+r+`
1036×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1053	28140
1	3340	27382

Stop Event

1×	node limit

Counts

454 → 712

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

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

localize10.0ms (0%)

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

localize28.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.6b	(/.f64 1/2 (/.f64 (.f64 (neg.f64 a) b_2) (.f64 c a)))
✓	16.9b	(/.f64 (.f64 (neg.f64 a) b_2) (.f64 c a))

Compiler

Compiled 34 to 10 computations (70.6% saved)

series5.0ms (0%)

Counts

2 → 72

Calls

18 calls:

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

rewrite151.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1274×	`associate-/r/`
952×	`swap-sqr`
582×	`distribute-lft-neg-in`
518×	`associate-/l/`
514×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	52
1	263	44
2	3941	44

Stop Event

1×	node limit

Counts

2 → 220

Calls

Call 1

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

Outputs

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

simplify170.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1762×	`distribute-lft-in`
1728×	`distribute-rgt-in`
896×	`*-commutative`
848×	`associate-*r/`
726×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	496	5892
1	1594	4528
2	5806	4528

Stop Event

1×	node limit

Counts

292 → 289

Calls

Call 1

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

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

localize10.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (sqrt.f64 (*.f64 (neg.f64 c) a)) b_2)
✓	0.1b	(/.f64 (-.f64 (sqrt.f64 (*.f64 (neg.f64 c) a)) b_2) a)
✓	13.4b	(sqrt.f64 (*.f64 (neg.f64 c) a))

Compiler

Compiled 33 to 8 computations (75.8% saved)

series18.0ms (0.1%)

Counts

3 → 28

Calls

24 calls:

Time	Variable		Point	Expression
6.0ms	a	@	inf	(/.f64 (-.f64 (sqrt.f64 (*.f64 (neg.f64 c) a)) b_2) a)
4.0ms	a	@	-inf	(/.f64 (-.f64 (sqrt.f64 (*.f64 (neg.f64 c) a)) b_2) a)
3.0ms	c	@	0	(sqrt.f64 (*.f64 (neg.f64 c) a))
1.0ms	a	@	0	(sqrt.f64 (*.f64 (neg.f64 c) a))
1.0ms	b_2	@	0	(/.f64 (-.f64 (sqrt.f64 (*.f64 (neg.f64 c) a)) b_2) a)

rewrite110.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1522×	`associate-*r/`
1322×	`associate-/r*`
1310×	`associate-/l*`
1174×	`associate-*l/`
256×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	63
1	241	51
2	3484	51

Stop Event

1×	node limit

Counts

3 → 161

Calls

Call 1

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

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

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

simplify108.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1610×	`associate-/r/`
1152×	`associate-+r+`
872×	`associate-+l-`
812×	`+-commutative`
804×	`associate-+r-`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	385	6787
1	935	6613
2	4866	6605

Stop Event

1×	node limit

Counts

189 → 255

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

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 a (sqrt.f64 b_2))
✓	0.1b	(*.f64 (sqrt.f64 b_2) a)
✓	2.4b	(/.f64 (.f64 -1/2 c) (.f64 (sqrt.f64 b_2) a))
✓	6.0b	(.f64 (/.f64 (.f64 -1/2 c) (*.f64 (sqrt.f64 b_2) a)) (/.f64 a (sqrt.f64 b_2)))

Compiler

Compiled 41 to 16 computations (61% saved)

series12.0ms (0%)

Counts

4 → 84

Calls

30 calls:

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

rewrite106.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1206×	`swap-sqr`
568×	`associate-/l/`
546×	`distribute-lft-neg-in`
522×	`associate-/r/`
502×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	84
1	281	70
2	4147	70

Stop Event

1×	node limit

Counts

4 → 227

Calls

Call 1

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

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

simplify83.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1384×	`associate-/l*`
1170×	`times-frac`
926×	`associate-l`
912×	`associate-r`
910×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	543	6477
1	1541	6257

Stop Event

1×	node limit

Counts

311 → 289

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

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

eval528.0ms (2.2%)

Compiler: Compiled 38389 to 13009 computations (66.1% saved)

prune688.0ms (2.9%)

Pruning

63 alts after pruning (57 fresh and 6 done)

	Pruned	Kept	Total
New	1569	29	1598
Fresh	11	28	39
Picked	1	0	1
Done	1	6	7
Total	1582	63	1645

Error

6.0b

Counts

1645 → 63

Alt Table

Click to see full alt table

Status	Error	Program
	42.3b	(fma.f64 -1/8 (/.f64 (.f64 c (.f64 c a)) (pow.f64 b_2 3)) (*.f64 -1/2 (/.f64 c b_2)))
	36.1b	(pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) -1)
	51.3b	(pow.f64 (sqrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)) 2)
	57.2b	(pow.f64 (cbrt.f64 (.f64 1/2 (.f64 (/.f64 c b_2) (/.f64 a a)))) 3)
	45.9b	(pow.f64 (cbrt.f64 (.f64 -1/2 (/.f64 (.f64 c (/.f64 a b_2)) a))) 3)
	51.8b	(/.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) (sqrt.f64 a)) (sqrt.f64 a))
▶	63.3b	(/.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)
	45.9b	(/.f64 (/.f64 (-.f64 0 (.f64 c a)) (+.f64 b_2 (+.f64 b_2 (.f64 -1/2 (/.f64 c (/.f64 b_2 a)))))) a)
✓	34.7b	(/.f64 (/.f64 (-.f64 0 (.f64 c a)) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))))) a)
	42.7b	(/.f64 (/.f64 (-.f64 0 (.f64 c a)) (+.f64 b_2 (sqrt.f64 (.f64 (neg.f64 c) a)))) a)
	46.2b	(/.f64 (/.f64 (.f64 (.f64 c -1/2) a) b_2) a)
	44.7b	(/.f64 (/.f64 (.f64 -1/2 c) a) (.f64 (/.f64 (sqrt.f64 b_2) a) (sqrt.f64 b_2)))
	56.9b	(/.f64 (/.f64 (*.f64 -2 b_2) (sqrt.f64 a)) (sqrt.f64 a))
	52.7b	(/.f64 (/.f64 (.f64 -2 b_2) (cbrt.f64 (.f64 a a))) (cbrt.f64 a))
▶	42.0b	(/.f64 (/.f64 a (sqrt.f64 b_2)) (*.f64 (/.f64 (sqrt.f64 b_2) c) (/.f64 a -1/2)))
	47.0b	(/.f64 (/.f64 1 (/.f64 1 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))))) a)
	46.5b	(/.f64 (/.f64 -1/2 a) (/.f64 b_2 (*.f64 c a)))
▶	36.1b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (-.f64 (+.f64 (.f64 a c) (.f64 a (+.f64 c c))) (.f64 (*.f64 a (+.f64 c c)) 1)))) b_2) a)
✓	36.0b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
✓	45.1b	(/.f64 (-.f64 (sqrt.f64 (*.f64 (neg.f64 c) a)) b_2) a)
	56.7b	(/.f64 (-.f64 b_2 b_2) a)
	47.1b	(/.f64 (+.f64 b_2 (+.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) b_2)) a)
	47.2b	(/.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)
✓	45.7b	(/.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) a)
	46.3b	(/.f64 (.f64 -1/2 (.f64 (/.f64 1 b_2) (*.f64 c a))) a)
▶	44.2b	(/.f64 (.f64 -1/2 (.f64 c a)) (*.f64 a b_2))
	45.6b	(/.f64 (sqrt.f64 (-.f64 0 (*.f64 c a))) a)
▶	59.6b	(/.f64 (neg.f64 b_2) a)
	44.3b	(/.f64 1 (.f64 a (.f64 (/.f64 -2 a) (/.f64 b_2 c))))
	57.2b	(/.f64 1/2 (/.f64 b_2 c))
	55.0b	(/.f64 1/2 (+.f64 (-.f64 0 (exp.f64 (log1p.f64 (*.f64 (/.f64 a c) (/.f64 b_2 a))))) 1))
	59.3b	(/.f64 1/2 (.f64 (/.f64 (.f64 a (/.f64 b_2 c)) (+.f64 (*.f64 a a) 0)) a))
	57.2b	(/.f64 1/2 (.f64 (/.f64 b_2 (.f64 a c)) a))
	57.2b	(/.f64 1/2 (.f64 (/.f64 1 c) (/.f64 (.f64 a b_2) a)))
	44.3b	(/.f64 1/2 (*.f64 (/.f64 -1 (/.f64 1 (/.f64 a c))) (/.f64 b_2 a)))
	44.3b	(/.f64 1/2 (.f64 (/.f64 -1 (.f64 a (/.f64 c b_2))) a))
	40.4b	(/.f64 1/2 (.f64 (/.f64 -1 a) (.f64 a (/.f64 b_2 c))))
	58.0b	(/.f64 1/2 (.f64 (.f64 a a) (/.f64 (/.f64 b_2 (*.f64 c a)) a)))
	44.3b	(/.f64 1/2 (neg.f64 (*.f64 (/.f64 a c) (/.f64 b_2 a))))
	38.0b	(/.f64 -1/2 (/.f64 b_2 c))
	46.9b	(/.f64 -2 (/.f64 a b_2))
	55.0b	(.f64 (pow.f64 (pow.f64 (.f64 -1/2 (/.f64 c (*.f64 (sqrt.f64 b_2) a))) 3) 1/3) (/.f64 a (sqrt.f64 b_2)))
	44.2b	(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 c b_2) (.f64 a -1/2))) 2) a) (cbrt.f64 (.f64 (/.f64 c b_2) (*.f64 a -1/2))))
	42.5b	(*.f64 (/.f64 (/.f64 1/2 (/.f64 a c)) (neg.f64 b_2)) a)
	57.2b	(*.f64 (/.f64 (/.f64 1/2 (/.f64 a c)) b_2) a)
	36.1b	(.f64 (/.f64 1 a) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2))
	57.2b	(.f64 (/.f64 1/2 a) (.f64 a (/.f64 c b_2)))
	45.0b	(.f64 (/.f64 -1/2 (pow.f64 (cbrt.f64 a) 2)) (/.f64 c (.f64 (cbrt.f64 a) (/.f64 b_2 a))))
	42.0b	(.f64 (/.f64 -1/2 (pow.f64 (cbrt.f64 a) 2)) (/.f64 a (.f64 (cbrt.f64 a) (/.f64 b_2 c))))
	42.8b	(*.f64 (/.f64 -1/2 (/.f64 (pow.f64 (cbrt.f64 b_2) 2) (/.f64 c a))) (/.f64 a (cbrt.f64 b_2)))
	44.2b	(*.f64 (/.f64 -1/2 (/.f64 a c)) (/.f64 a b_2))
	42.6b	(.f64 (/.f64 -1/2 (.f64 (/.f64 a c) b_2)) a)
	57.2b	(.f64 (.f64 (/.f64 1/2 a) (/.f64 c b_2)) a)
	43.2b	(.f64 (.f64 c (/.f64 (/.f64 -1/2 a) (sqrt.f64 b_2))) (/.f64 a (sqrt.f64 b_2)))
	47.8b	(.f64 (expm1.f64 (log1p.f64 (.f64 -1/2 (/.f64 c (*.f64 (sqrt.f64 b_2) a))))) (/.f64 a (sqrt.f64 b_2)))
	38.0b	(.f64 c (/.f64 (.f64 a (/.f64 -1/2 a)) b_2))
	38.0b	(*.f64 c (/.f64 -1/2 b_2))
	42.8b	(*.f64 -1/2 (/.f64 c (/.f64 a (/.f64 a b_2))))
✓	37.9b	(*.f64 -1/2 (/.f64 c b_2))
✓	46.8b	(*.f64 -2 (/.f64 b_2 a))
	56.0b	(fabs.f64 (*.f64 -2 (/.f64 b_2 a)))
	45.0b	(expm1.f64 (log1p.f64 (.f64 (/.f64 (.f64 -1/2 c) a) (/.f64 a b_2))))
	52.1b	(cbrt.f64 (pow.f64 (.f64 -1/2 (/.f64 (.f64 c (/.f64 a b_2)) a)) 3))

Compiler

Compiled 1786 to 1197 computations (33% saved)

localize33.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(-.f64 (.f64 b_2 b_2) (-.f64 (+.f64 (.f64 a c) (.f64 a (+.f64 c c))) (.f64 (*.f64 a (+.f64 c c)) 1)))
✓	1.2b	(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (-.f64 (+.f64 (.f64 a c) (.f64 a (+.f64 c c))) (.f64 (*.f64 a (+.f64 c c)) 1)))) b_2)
✓	7.9b	(-.f64 (+.f64 (.f64 a c) (.f64 a (+.f64 c c))) (.f64 (.f64 a (+.f64 c c)) 1))
✓	23.7b	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (-.f64 (+.f64 (.f64 a c) (.f64 a (+.f64 c c))) (.f64 (*.f64 a (+.f64 c c)) 1))))

Compiler

Compiled 147 to 36 computations (75.5% saved)

series6.0ms (0%)

Counts

4 → 100

Calls

33 calls:

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

rewrite167.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1024×	`associate-+l+`
512×	`+-commutative`
472×	`associate-+r+`
438×	`associate-+l-`
400×	`add-sqr-sqrt`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	198
1	394	86
2	5771	78

Stop Event

1×	node limit

Counts

4 → 310

Calls

Call 1

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

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

simplify150.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1184×	`associate-+r+`
1074×	`associate-r`
1016×	`associate-+l+`
888×	`+-commutative`
864×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	771	14668
1	2149	14042

Stop Event

1×	node limit

Counts

410 → 486

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 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(.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))))
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(.f64 -1 (.f64 c a))
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(+.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 a c))) (pow.f64 (cbrt.f64 (.f64 a c)) 2) (.f64 a c)) (fma.f64 (neg.f64 (.f64 a c)) 1 (*.f64 a c))))
(+.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (+.f64 (fma.f64 (neg.f64 (.f64 a c)) 1 (.f64 a c)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 a c))) (sqrt.f64 (.f64 a c)) (*.f64 a c))))
(+.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (.f64 a c))) (sqrt.f64 (.f64 a c)) (.f64 a c)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 a c))) (sqrt.f64 (.f64 a c)) (.f64 a c))))
(+.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 a c))) (pow.f64 (cbrt.f64 (.f64 a c)) 2) (.f64 a c)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 a c))) (sqrt.f64 (.f64 a c)) (.f64 a c))))
(+.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (+.f64 (fma.f64 (neg.f64 (.f64 a c)) 1 (.f64 a c)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 a c))) (pow.f64 (cbrt.f64 (.f64 a c)) 2) (*.f64 a c))))
(+.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (.f64 a c))) (sqrt.f64 (.f64 a c)) (.f64 a c)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 a c))) (pow.f64 (cbrt.f64 (.f64 a c)) 2) (.f64 a c))))
(+.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 a c))) (pow.f64 (cbrt.f64 (.f64 a c)) 2) (.f64 a c)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 a c))) (pow.f64 (cbrt.f64 (.f64 a c)) 2) (.f64 a c))))
(+.f64 (-.f64 (.f64 b_2 b_2) (.f64 a (.f64 c 3))) (.f64 a (+.f64 c c)))
(+.f64 (-.f64 (.f64 b_2 b_2) (.f64 a (.f64 c 3))) (neg.f64 (.f64 (+.f64 c c) (neg.f64 a))))
(+.f64 (-.f64 (.f64 b_2 b_2) (.f64 a (.f64 c 3))) (+.f64 (.f64 a (+.f64 c c)) (fma.f64 (neg.f64 (.f64 a c)) 1 (.f64 a c))))
(+.f64 (-.f64 (.f64 b_2 b_2) (.f64 a (.f64 c 3))) (+.f64 (.f64 a (+.f64 c c)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 a c))) (sqrt.f64 (.f64 a c)) (*.f64 a c))))
(+.f64 (-.f64 (.f64 b_2 b_2) (.f64 a (.f64 c 3))) (+.f64 (.f64 a (+.f64 c c)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 a c))) (pow.f64 (cbrt.f64 (.f64 a c)) 2) (*.f64 a c))))
(+.f64 (-.f64 (.f64 b_2 b_2) (.f64 a (.f64 c 3))) (+.f64 (fma.f64 (neg.f64 (.f64 c 3)) a (.f64 a (.f64 c 3))) (*.f64 a (+.f64 c c))))
(+.f64 (-.f64 (.f64 b_2 b_2) (.f64 a (.f64 c 3))) (+.f64 (fma.f64 (neg.f64 (.f64 a (.f64 c 3))) 1 (.f64 a (.f64 c 3))) (.f64 a (+.f64 c c))))
(+.f64 (-.f64 (.f64 b_2 b_2) (.f64 a (.f64 c 3))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (.f64 a (.f64 c 3)))) (sqrt.f64 (.f64 a (.f64 c 3))) (.f64 a (.f64 c 3))) (.f64 a (+.f64 c c))))
(+.f64 (-.f64 (.f64 b_2 b_2) (.f64 a (.f64 c 3))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 a (.f64 c 3)))) (pow.f64 (cbrt.f64 (.f64 a (.f64 c 3))) 2) (.f64 a (.f64 c 3))) (.f64 a (+.f64 c c))))
(+.f64 (neg.f64 (.f64 a c)) (.f64 b_2 b_2))
(+.f64 (neg.f64 (.f64 a c)) (+.f64 (.f64 b_2 b_2) (fma.f64 (neg.f64 (.f64 a c)) 1 (.f64 a c))))
(+.f64 (neg.f64 (.f64 a c)) (+.f64 (.f64 b_2 b_2) (fma.f64 (neg.f64 (sqrt.f64 (.f64 a c))) (sqrt.f64 (.f64 a c)) (*.f64 a c))))
(+.f64 (neg.f64 (.f64 a c)) (+.f64 (.f64 b_2 b_2) (fma.f64 (neg.f64 (cbrt.f64 (.f64 a c))) (pow.f64 (cbrt.f64 (.f64 a c)) 2) (*.f64 a c))))
(+.f64 (neg.f64 (.f64 a c)) (+.f64 0 (.f64 b_2 b_2)))
(+.f64 (+.f64 (.f64 a c) (-.f64 (.f64 b_2 b_2) (.f64 a (.f64 c 3)))) (*.f64 a c))
(+.f64 (+.f64 (.f64 a c) (-.f64 (.f64 b_2 b_2) (.f64 a (.f64 c 3)))) (+.f64 (.f64 a c) (fma.f64 (neg.f64 (.f64 a c)) 1 (*.f64 a c))))
(+.f64 (+.f64 (.f64 a c) (-.f64 (.f64 b_2 b_2) (.f64 a (.f64 c 3)))) (+.f64 (.f64 a c) (fma.f64 (neg.f64 (sqrt.f64 (.f64 a c))) (sqrt.f64 (.f64 a c)) (.f64 a c))))
(+.f64 (+.f64 (.f64 a c) (-.f64 (.f64 b_2 b_2) (.f64 a (.f64 c 3)))) (+.f64 (.f64 a c) (fma.f64 (neg.f64 (cbrt.f64 (.f64 a c))) (pow.f64 (cbrt.f64 (.f64 a c)) 2) (.f64 a c))))
(+.f64 (.f64 (neg.f64 (.f64 a c)) 1) (*.f64 b_2 b_2))
(+.f64 (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a (.f64 c 3))) 1) (*.f64 a (+.f64 c c)))
(+.f64 (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a (.f64 c 3))) 1) (+.f64 (.f64 a (+.f64 c c)) (fma.f64 (neg.f64 (.f64 a c)) 1 (*.f64 a c))))
(+.f64 (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a (.f64 c 3))) 1) (+.f64 (.f64 a (+.f64 c c)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 a c))) (sqrt.f64 (.f64 a c)) (.f64 a c))))
(+.f64 (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a (.f64 c 3))) 1) (+.f64 (.f64 a (+.f64 c c)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 a c))) (pow.f64 (cbrt.f64 (.f64 a c)) 2) (.f64 a c))))
(+.f64 (neg.f64 (.f64 a (.f64 c 3))) (+.f64 (neg.f64 (.f64 (+.f64 c c) (neg.f64 a))) (.f64 b_2 b_2)))
(+.f64 (fma.f64 (neg.f64 (.f64 a c)) 1 (.f64 a c)) (-.f64 (.f64 b_2 b_2) (.f64 a c)))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (.f64 a c))) (sqrt.f64 (.f64 a c)) (.f64 a c)) (-.f64 (.f64 b_2 b_2) (*.f64 a c)))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 a c))) (pow.f64 (cbrt.f64 (.f64 a c)) 2) (.f64 a c)) (-.f64 (.f64 b_2 b_2) (*.f64 a c)))
(+.f64 (+.f64 (.f64 a (+.f64 c c)) (.f64 b_2 b_2)) (neg.f64 (.f64 a (.f64 c 3))))
(+.f64 (+.f64 (.f64 a (+.f64 c c)) (.f64 b_2 b_2)) (.f64 (neg.f64 a) (.f64 c 3)))
(+.f64 (+.f64 (.f64 a (+.f64 c c)) (.f64 b_2 b_2)) (.f64 -1 (.f64 a (*.f64 c 3))))
(+.f64 (+.f64 (.f64 a (+.f64 c c)) (.f64 b_2 b_2)) (.f64 (neg.f64 (sqrt.f64 (.f64 a (.f64 c 3)))) (sqrt.f64 (.f64 a (*.f64 c 3)))))
(+.f64 (+.f64 (.f64 a (+.f64 c c)) (.f64 b_2 b_2)) (.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 a (.f64 c 3))) 2)) (cbrt.f64 (.f64 a (*.f64 c 3)))))
(+.f64 (+.f64 (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a (.f64 c 3))) 1) (.f64 a c)) (.f64 a c))
(.f64 1 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))
(.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)) 1)
(.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))))
(.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) (.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))
(.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (pow.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) 2))
(.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))
(.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))))
(.f64 (-.f64 (pow.f64 b_2 4) (pow.f64 (.f64 a c) 2)) (/.f64 1 (fma.f64 b_2 b_2 (*.f64 a c))))
(.f64 (-.f64 (pow.f64 b_2 6) (pow.f64 (.f64 a c) 3)) (/.f64 1 (+.f64 (pow.f64 b_2 4) (.f64 (.f64 a c) (fma.f64 b_2 b_2 (*.f64 a c))))))
(.f64 (.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (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))
(.f64 (.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))
(.f64 (+.f64 b_2 (sqrt.f64 (.f64 a c))) (-.f64 b_2 (sqrt.f64 (*.f64 a c))))
(/.f64 1 (/.f64 (fma.f64 b_2 b_2 (.f64 a c)) (-.f64 (pow.f64 b_2 4) (pow.f64 (.f64 a c) 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 b_2 4) (.f64 (.f64 a c) (fma.f64 b_2 b_2 (.f64 a c)))) (-.f64 (pow.f64 b_2 6) (pow.f64 (.f64 a c) 3))))
(/.f64 (-.f64 (pow.f64 b_2 4) (pow.f64 (.f64 a c) 2)) (fma.f64 b_2 b_2 (.f64 a c)))
(/.f64 (-.f64 (pow.f64 b_2 6) (pow.f64 (.f64 a c) 3)) (+.f64 (pow.f64 b_2 4) (.f64 (.f64 a c) (fma.f64 b_2 b_2 (.f64 a c)))))
(/.f64 (-.f64 (pow.f64 b_2 4) (.f64 (neg.f64 (.f64 a c)) (neg.f64 (.f64 a c)))) (-.f64 (.f64 b_2 b_2) (neg.f64 (*.f64 a c))))
(/.f64 (-.f64 (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a (.f64 c 3))) (-.f64 (.f64 b_2 b_2) (.f64 a (.f64 c 3)))) (.f64 (+.f64 c c) (.f64 a a))) (-.f64 (-.f64 (.f64 b_2 b_2) (.f64 a (.f64 c 3))) (*.f64 a (+.f64 c c))))
(/.f64 (+.f64 (pow.f64 b_2 6) (pow.f64 (neg.f64 (.f64 a c)) 3)) (-.f64 (+.f64 (pow.f64 b_2 4) (.f64 (neg.f64 (.f64 a c)) (neg.f64 (.f64 a c)))) (.f64 (.f64 b_2 b_2) (neg.f64 (*.f64 a c)))))
(/.f64 (+.f64 (.f64 (+.f64 c c) (pow.f64 a 3)) (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a (.f64 c 3))) 3)) (+.f64 (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a (.f64 c 3))) (-.f64 (.f64 b_2 b_2) (.f64 a (.f64 c 3)))) (-.f64 (.f64 (+.f64 c c) (.f64 a a)) (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a (.f64 c 3))) (.f64 a (+.f64 c c))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 b_2 4) (pow.f64 (.f64 a c) 2))) (neg.f64 (fma.f64 b_2 b_2 (.f64 a c))))
(/.f64 (neg.f64 (-.f64 (pow.f64 b_2 6) (pow.f64 (.f64 a c) 3))) (neg.f64 (+.f64 (pow.f64 b_2 4) (.f64 (.f64 a c) (fma.f64 b_2 b_2 (.f64 a c))))))
(pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1)
(pow.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 2)
(pow.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 3)
(pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 2) 1/2)
(pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 2))
(log.f64 (exp.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
(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 (neg.f64 (*.f64 a c)))
(fma.f64 1 (.f64 b_2 b_2) (neg.f64 (.f64 a c)))
(fma.f64 (cbrt.f64 (pow.f64 b_2 4)) (pow.f64 (cbrt.f64 b_2) 2) (neg.f64 (*.f64 a c)))

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

localize12.0ms (0.1%)

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

localize10.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	17.1b	(/.f64 (.f64 -1/2 (.f64 c a)) (*.f64 a b_2))

Compiler

Compiled 27 to 11 computations (59.3% saved)

series1.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite78.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1912×	`associate-*l/`
976×	`swap-sqr`
926×	`unswap-sqr`
422×	`distribute-lft-neg-in`
392×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	213	25
2	3054	25

Stop Event

1×	node limit

Counts

1 → 91

Calls

Call 1

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

Outputs

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

simplify93.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1076×	`unswap-sqr`
694×	`associate--l+`
462×	`+-commutative`
448×	`associate--r+`
428×	`log-prod`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	243	2553
1	733	2333
2	2783	2333
3	7355	2333

Stop Event

1×	node limit

Counts

127 → 103

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

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

localize31.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.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)
✓	1.7b	(+.f64 b_2 (+.f64 (.f64 -1 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2))))
✓	5.3b	(/.f64 (*.f64 c a) b_2)
✓	15.0b	(/.f64 (-.f64 0 (.f64 c a)) (+.f64 b_2 (+.f64 (.f64 -1 b_2) (.f64 1/2 (/.f64 (.f64 c a) b_2)))))

Compiler

Compiled 96 to 44 computations (54.2% saved)

series12.0ms (0.1%)

Counts

4 → 108

Calls

36 calls:

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

rewrite140.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

440×	`associate-+l+`
410×	`add-sqr-sqrt`
400×	`*-un-lft-identity`
398×	`pow1`
382×	`add-cbrt-cube`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	150
1	399	124
2	6515	124

Stop Event

1×	node limit

Counts

4 → 251

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 c (/.f64 (+.f64 b_2 (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) b_2)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 c (/.f64 (+.f64 b_2 (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) b_2)) a)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 0 (exp.f64 (log1p.f64 (/.f64 c (/.f64 (+.f64 b_2 (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) b_2)) a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 c (/.f64 (+.f64 b_2 (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) b_2)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 c (/.f64 (+.f64 b_2 (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) b_2)) a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (exp.f64 (log1p.f64 (/.f64 c (/.f64 (+.f64 b_2 (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) b_2)) a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 c a) (/.f64 -1 (+.f64 b_2 (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) b_2))))))) (#(struct:change #<rule egg-rr> 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simplify162.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1036×	`associate-r`
970×	`associate-/l*`
882×	`associate-/r*`
842×	`associate-l`
698×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	645	17485
1	1909	16775

Stop Event

1×	node limit

Counts

359 → 456

Calls

Call 1

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

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

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(/.f64 a (sqrt.f64 b_2))
✓	0.2b	(/.f64 (sqrt.f64 b_2) c)
✓	1.3b	(*.f64 (/.f64 (sqrt.f64 b_2) c) (/.f64 a -1/2))
✓	5.8b	(/.f64 (/.f64 a (sqrt.f64 b_2)) (*.f64 (/.f64 (sqrt.f64 b_2) c) (/.f64 a -1/2)))

Compiler

Compiled 41 to 16 computations (61% saved)

series8.0ms (0%)

Counts

3 → 72

Calls

24 calls:

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

rewrite103.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1162×	`swap-sqr`
684×	`distribute-lft-neg-in`
628×	`distribute-rgt-neg-in`
294×	`add-sqr-sqrt`
286×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	73
1	289	73
2	4261	73

Stop Event

1×	node limit

Counts

3 → 141

Calls

Call 1

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

Outputs

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

simplify135.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

918×	`distribute-lft-in`
916×	`distribute-rgt-in`
746×	`associate-/r*`
552×	`distribute-lft-neg-in`
520×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	348	5619
1	978	4887
2	5103	4887

Stop Event

1×	node limit

Counts

213 → 185

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

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

eval1.4s (5.7%)

Compiler: Compiled 32239 to 13327 computations (58.7% saved)

prune708.0ms (3%)

Pruning

69 alts after pruning (61 fresh and 8 done)

	Pruned	Kept	Total
New	1265	17	1282
Fresh	8	44	52
Picked	1	0	1
Done	2	8	10
Total	1276	69	1345

Error

6.0b

Counts

1345 → 69

Alt Table

Click to see full alt table

Status	Error	Program
	42.3b	(fma.f64 -1/8 (/.f64 (.f64 c (.f64 c a)) (pow.f64 b_2 3)) (*.f64 -1/2 (/.f64 c b_2)))
	36.1b	(pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) -1)
	51.3b	(pow.f64 (sqrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)) 2)
	57.2b	(pow.f64 (cbrt.f64 (.f64 1/2 (.f64 (/.f64 c b_2) (/.f64 a a)))) 3)
	45.9b	(pow.f64 (cbrt.f64 (.f64 -1/2 (/.f64 (.f64 c (/.f64 a b_2)) a))) 3)
	56.5b	(/.f64 (pow.f64 (cbrt.f64 (/.f64 c (/.f64 (+.f64 b_2 (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) b_2)) a))) 3) a)
	51.8b	(/.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) (sqrt.f64 a)) (sqrt.f64 a))
	52.6b	(/.f64 (/.f64 (-.f64 0 (.f64 c a)) (/.f64 (.f64 1/2 c) (/.f64 b_2 a))) a)
	56.8b	(/.f64 (/.f64 (-.f64 0 (.f64 c a)) (+.f64 (.f64 (/.f64 (.f64 c -1/2) b_2) a) (.f64 b_2 -2))) a)
	45.9b	(/.f64 (/.f64 (-.f64 0 (.f64 c a)) (+.f64 b_2 (-.f64 b_2 (/.f64 (.f64 1/2 c) (/.f64 b_2 a))))) a)
	63.3b	(/.f64 (/.f64 (-.f64 0 (.f64 c a)) (+.f64 b_2 (+.f64 (.f64 -1 b_2) (.f64 1/2 (.f64 c (/.f64 1 (/.f64 b_2 a))))))) a)
	63.1b	(/.f64 (/.f64 (-.f64 0 (.f64 c a)) (+.f64 b_2 (+.f64 (.f64 -1 b_2) (.f64 1/2 (.f64 c (*.f64 a (/.f64 -1 b_2))))))) a)
✓	34.7b	(/.f64 (/.f64 (-.f64 0 (.f64 c a)) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))))) a)
	42.7b	(/.f64 (/.f64 (-.f64 0 (.f64 c a)) (+.f64 b_2 (sqrt.f64 (.f64 (neg.f64 c) a)))) a)
	54.5b	(/.f64 (/.f64 (-.f64 0 (.f64 c a)) (.f64 (/.f64 c b_2) (*.f64 a 1/2))) a)
	46.2b	(/.f64 (/.f64 (.f64 (.f64 c -1/2) a) b_2) a)
	56.9b	(/.f64 (/.f64 (*.f64 -2 b_2) (sqrt.f64 a)) (sqrt.f64 a))
	52.7b	(/.f64 (/.f64 (.f64 -2 b_2) (cbrt.f64 (.f64 a a))) (cbrt.f64 a))
	55.0b	(/.f64 (/.f64 a (sqrt.f64 b_2)) (pow.f64 (pow.f64 (/.f64 a (*.f64 (/.f64 c (sqrt.f64 b_2)) -1/2)) 3) 1/3))
	42.0b	(/.f64 (/.f64 a (sqrt.f64 b_2)) (/.f64 (/.f64 (sqrt.f64 b_2) c) (/.f64 -1/2 a)))
	54.3b	(/.f64 (/.f64 a (sqrt.f64 b_2)) (exp.f64 (log.f64 (/.f64 a (*.f64 (/.f64 c (sqrt.f64 b_2)) -1/2)))))
	47.0b	(/.f64 (/.f64 1 (/.f64 1 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))))) a)
	38.5b	(/.f64 (/.f64 -1/2 (sqrt.f64 b_2)) (/.f64 (sqrt.f64 b_2) c))
	46.5b	(/.f64 (/.f64 -1/2 a) (/.f64 b_2 (*.f64 c a)))
	36.1b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a (-.f64 (*.f64 c 3) (+.f64 c c))))) b_2) a)
✓	36.0b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
✓	45.1b	(/.f64 (-.f64 (sqrt.f64 (*.f64 (neg.f64 c) a)) b_2) a)
	56.7b	(/.f64 (-.f64 b_2 b_2) a)
	56.5b	(/.f64 (+.f64 (/.f64 c (/.f64 (+.f64 b_2 (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) b_2)) a)) 0) a)
	47.1b	(/.f64 (+.f64 b_2 (+.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) b_2)) a)
	47.2b	(/.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)
	56.5b	(/.f64 (.f64 a (/.f64 c (+.f64 b_2 (fma.f64 1/2 (.f64 c (/.f64 a b_2)) b_2)))) a)
✓	45.7b	(/.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) a)
	46.3b	(/.f64 (.f64 -1/2 (.f64 (/.f64 1 b_2) (*.f64 c a))) a)
✓	44.2b	(/.f64 (.f64 -1/2 (.f64 c a)) (*.f64 a b_2))
	45.6b	(/.f64 (sqrt.f64 (-.f64 0 (*.f64 c a))) a)
	38.5b	(/.f64 (neg.f64 (/.f64 (/.f64 c (sqrt.f64 b_2)) (sqrt.f64 b_2))) 2)
✓	59.6b	(/.f64 (neg.f64 b_2) a)
	56.5b	(/.f64 (expm1.f64 (log1p.f64 (/.f64 c (/.f64 (+.f64 b_2 (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) b_2)) a)))) a)
	44.3b	(/.f64 1 (.f64 a (.f64 (/.f64 -2 a) (/.f64 b_2 c))))
	57.2b	(/.f64 1/2 (/.f64 b_2 c))
	55.0b	(/.f64 1/2 (+.f64 (-.f64 0 (exp.f64 (log1p.f64 (*.f64 (/.f64 a c) (/.f64 b_2 a))))) 1))
	59.3b	(/.f64 1/2 (.f64 (/.f64 (.f64 a (/.f64 b_2 c)) (+.f64 (*.f64 a a) 0)) a))
	57.2b	(/.f64 1/2 (.f64 (/.f64 b_2 (.f64 a c)) a))
	57.2b	(/.f64 1/2 (.f64 (/.f64 1 c) (/.f64 (.f64 a b_2) a)))
	44.3b	(/.f64 1/2 (*.f64 (/.f64 -1 (/.f64 1 (/.f64 a c))) (/.f64 b_2 a)))
	44.3b	(/.f64 1/2 (.f64 (/.f64 -1 (.f64 a (/.f64 c b_2))) a))
	40.4b	(/.f64 1/2 (.f64 (/.f64 -1 a) (.f64 a (/.f64 b_2 c))))
	58.0b	(/.f64 1/2 (.f64 (.f64 a a) (/.f64 (/.f64 b_2 (*.f64 c a)) a)))
	44.3b	(/.f64 1/2 (neg.f64 (*.f64 (/.f64 a c) (/.f64 b_2 a))))
	38.0b	(/.f64 -1/2 (/.f64 b_2 c))
	46.9b	(/.f64 -2 (/.f64 a b_2))
	56.5b	(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 c (/.f64 (+.f64 b_2 (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) b_2)) a))) 2) 1) (/.f64 (cbrt.f64 (/.f64 c (/.f64 (+.f64 b_2 (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) b_2)) a))) a))
	42.5b	(*.f64 (/.f64 (/.f64 1/2 (/.f64 a c)) (neg.f64 b_2)) a)
	57.2b	(*.f64 (/.f64 (/.f64 1/2 (/.f64 a c)) b_2) a)
	36.1b	(.f64 (/.f64 1 a) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2))
	57.2b	(.f64 (/.f64 1/2 a) (.f64 a (/.f64 c b_2)))
	42.8b	(*.f64 (/.f64 -1/2 (/.f64 (pow.f64 (cbrt.f64 b_2) 2) (/.f64 c a))) (/.f64 a (cbrt.f64 b_2)))
	44.2b	(*.f64 (/.f64 -1/2 (/.f64 a c)) (/.f64 a b_2))
	42.6b	(.f64 (/.f64 -1/2 (.f64 (/.f64 a c) b_2)) a)
	57.2b	(.f64 (.f64 (/.f64 1/2 a) (/.f64 c b_2)) a)
	43.2b	(.f64 (.f64 c (/.f64 (/.f64 -1/2 a) (sqrt.f64 b_2))) (/.f64 a (sqrt.f64 b_2)))
	38.0b	(.f64 c (/.f64 (.f64 a (/.f64 -1/2 a)) b_2))
	38.0b	(*.f64 c (/.f64 -1/2 b_2))
	42.8b	(*.f64 -1/2 (/.f64 c (/.f64 a (/.f64 a b_2))))
✓	37.9b	(*.f64 -1/2 (/.f64 c b_2))
✓	46.8b	(*.f64 -2 (/.f64 b_2 a))
	56.0b	(fabs.f64 (*.f64 -2 (/.f64 b_2 a)))
	45.0b	(expm1.f64 (log1p.f64 (.f64 (/.f64 (.f64 -1/2 c) a) (/.f64 a b_2))))

Compiler

Compiled 1066 to 711 computations (33.3% saved)

regimes2.3s (9.6%)

Counts

100 → 4

Calls

Call 1

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

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

1.1s	a
696.0ms	c
280.0ms	b_2
203.0ms	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Results

Error	Segments	Branch
21.0b	14	`a`
10.2b	4	`b_2`
28.8b	8	`c`
13.2b	5	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`

Compiler

Compiled 1394 to 620 computations (55.5% saved)

bsearch189.0ms (0.8%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
120.0ms	1.925354434840887e+72	1.0680450282865424e+83
47.0ms	3.2626129584620697e-198	1.8168032375973037e-184
21.0ms	-6.197272948028841e+160	-2.984586549885241e+149

Results

74.0ms	54×	body	2048	valid
52.0ms	259×	body	256	valid
17.0ms	34×	body	1024	valid
12.0ms	57×	body	256	invalid
11.0ms	31×	body	512	valid
6.0ms	27×	body	256	infinite
5.0ms	6×	body	4096	valid

Compiler

Compiled 812 to 513 computations (36.8% saved)

regimes1.5s (6.5%)

Counts

59 → 5

Calls

Call 1

Inputs
(/.f64 (neg.f64 b_2) a)
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 c (/.f64 -1/2 b_2))
(/.f64 -2 (/.f64 a b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(/.f64 1/2 (/.f64 b_2 c))
(/.f64 (-.f64 b_2 b_2) a)
(*.f64 -1/2 (/.f64 c (/.f64 a (/.f64 a b_2))))
(.f64 c (/.f64 (.f64 a (/.f64 -1/2 a)) b_2))
(.f64 (.f64 (/.f64 1/2 a) (/.f64 c b_2)) a)
(.f64 (/.f64 -1/2 (.f64 (/.f64 a c) b_2)) a)
(*.f64 (/.f64 -1/2 (/.f64 a c)) (/.f64 a b_2))
(.f64 (/.f64 1/2 a) (.f64 a (/.f64 c b_2)))
(*.f64 (/.f64 (/.f64 1/2 (/.f64 a c)) b_2) a)
(/.f64 1/2 (.f64 (/.f64 b_2 (.f64 a c)) a))
(/.f64 (.f64 -1/2 (.f64 c a)) (*.f64 a b_2))
(/.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) a)
(/.f64 (/.f64 -1/2 a) (/.f64 b_2 (*.f64 c a)))
(/.f64 (/.f64 (.f64 (.f64 c -1/2) a) b_2) a)
(*.f64 (/.f64 (/.f64 1/2 (/.f64 a c)) (neg.f64 b_2)) a)
(/.f64 1/2 (neg.f64 (*.f64 (/.f64 a c) (/.f64 b_2 a))))
(/.f64 1/2 (/.f64 (.f64 (neg.f64 a) b_2) (.f64 c a)))
(.f64 (/.f64 (.f64 (*.f64 -1/2 c) (/.f64 1 a)) b_2) a)
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(/.f64 1/2 (.f64 (/.f64 -1 a) (.f64 a (/.f64 b_2 c))))
(/.f64 1/2 (.f64 (/.f64 -1 (.f64 a (/.f64 c b_2))) a))
(/.f64 1/2 (.f64 (/.f64 1 c) (/.f64 (.f64 a b_2) a)))
(/.f64 1 (.f64 a (.f64 (/.f64 -2 a) (/.f64 b_2 c))))
(/.f64 (.f64 -1/2 (.f64 (/.f64 1 b_2) (*.f64 c a))) a)
(/.f64 1/2 (.f64 (.f64 a a) (/.f64 (/.f64 b_2 (*.f64 c a)) a)))
(/.f64 1/2 (*.f64 (/.f64 -1 (/.f64 1 (/.f64 a c))) (/.f64 b_2 a)))
(/.f64 (+.f64 (.f64 -2 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2))) a)
(/.f64 1/2 (.f64 (/.f64 (.f64 a (/.f64 b_2 c)) (+.f64 (*.f64 a a) 0)) a))
(/.f64 (/.f64 (-.f64 0 (.f64 c a)) (.f64 (/.f64 c b_2) (*.f64 a 1/2))) a)
(/.f64 (/.f64 (-.f64 0 (.f64 c a)) (/.f64 (.f64 1/2 c) (/.f64 b_2 a))) 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 (.f64 1/2 c) (/.f64 b_2 a))))) a)
(/.f64 (/.f64 (-.f64 0 (.f64 c a)) (+.f64 (.f64 (/.f64 (.f64 c -1/2) b_2) a) (.f64 b_2 -2))) 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 (-.f64 0 (.f64 c a)) (+.f64 b_2 (+.f64 (.f64 -1 b_2) (.f64 1/2 (.f64 c (*.f64 a (/.f64 -1 b_2))))))) a)
(/.f64 (/.f64 (-.f64 0 (.f64 c a)) (+.f64 b_2 (+.f64 (.f64 -1 b_2) (.f64 1/2 (.f64 c (/.f64 1 (/.f64 b_2 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 (.f64 -1 b_2) (.f64 1/2 (/.f64 (.f64 c a) b_2))) (neg.f64 b_2))) a)
(fabs.f64 (*.f64 -2 (/.f64 b_2 a)))
(/.f64 (sqrt.f64 (-.f64 0 (*.f64 c a))) a)
(/.f64 (-.f64 (sqrt.f64 (*.f64 b_2 b_2)) b_2) a)
(/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)
(/.f64 (-.f64 (sqrt.f64 (*.f64 (neg.f64 c) a)) b_2) a)
(/.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 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a) (/.f64 b_2 a))
(/.f64 (/.f64 (-.f64 0 (.f64 c a)) (+.f64 b_2 (sqrt.f64 (.f64 (neg.f64 c) a)))) a)
(/.f64 (.f64 a (/.f64 c (+.f64 b_2 (fma.f64 1/2 (.f64 c (/.f64 a b_2)) b_2)))) a)
(/.f64 (+.f64 b_2 (+.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) b_2)) a)
(/.f64 (/.f64 1 (/.f64 1 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))))) a)
(/.f64 (+.f64 (/.f64 c (/.f64 (+.f64 b_2 (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) b_2)) a)) 0) a)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a (-.f64 (*.f64 c 3) (+.f64 c c))))) b_2) a)

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

Calls

4 calls:

816.0ms	a
331.0ms	b_2
243.0ms	c
111.0ms	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Results

Error	Segments	Branch
24.1b	13	`a`
9.5b	5	`b_2`
31.2b	4	`c`
13.2b	5	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`

Compiler

Compiled 739 to 340 computations (54% saved)

bsearch219.0ms (0.9%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
88.0ms	0.0001683843659603081	1916.6588952446655
26.0ms	2.1801689488354173e-16	4.0297146331776206e-16
54.0ms	4.179085702491215e-143	2.309834092837832e-138
51.0ms	-6.197272948028841e+160	-2.984586549885241e+149

Results

90.0ms	372×	body	256	valid
52.0ms	52×	body	1024	valid
23.0ms	37×	body	2048	valid
15.0ms	64×	body	256	invalid
13.0ms	35×	body	512	valid
12.0ms	54×	body	256	infinite

Compiler

Compiled 823 to 555 computations (32.6% saved)

regimes1.1s (4.4%)

Counts

52 → 5

Calls

Call 1

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

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

564.0ms	a
194.0ms	b_2
173.0ms	c
104.0ms	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Results

Error	Segments	Branch
25.4b	11	`a`
9.5b	5	`b_2`
31.2b	4	`c`
13.2b	5	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`

Compiler

Compiled 626 to 298 computations (52.4% saved)

bsearch197.0ms (0.8%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
71.0ms	0.0001683843659603081	1916.6588952446655
53.0ms	2.1801689488354173e-16	4.0297146331776206e-16
59.0ms	4.179085702491215e-143	2.309834092837832e-138
12.0ms	-6.197272948028841e+160	-2.984586549885241e+149

Results

86.0ms	280×	body	256	valid
48.0ms	85×	body	256	invalid
22.0ms	47×	body	1024	valid
19.0ms	29×	body	2048	valid
10.0ms	28×	body	512	valid
2.0ms	9×	body	256	infinite

Compiler

Compiled 622 to 423 computations (32% saved)

regimes989.0ms (4.1%)

Counts

49 → 5

Calls

Call 1

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

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

Calls

3 calls:

520.0ms	a
287.0ms	b_2
159.0ms	c

Results

Error	Segments	Branch
29.2b	10	`a`
12.7b	5	`b_2`
33.6b	3	`c`

Compiler

Compiled 571 to 279 computations (51.1% saved)

bsearch189.0ms (0.8%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
62.0ms	0.0001683843659603081	1916.6588952446655
26.0ms	2.1801689488354173e-16	4.0297146331776206e-16
46.0ms	4.179085702491215e-143	2.309834092837832e-138
53.0ms	-2.115884941548943e-71	-7.756361187976892e-89

Results

81.0ms	385×	body	256	valid
33.0ms	55×	body	1024	valid
21.0ms	23×	body	2048	valid
19.0ms	103×	body	256	invalid
11.0ms	33×	body	512	valid

Compiler

Compiled 704 to 511 computations (27.4% saved)

regimes375.0ms (1.6%)

Counts

47 → 5

Calls

Call 1

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

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

Calls

3 calls:

184.0ms	a
106.0ms	b_2
63.0ms	c

Results

Error	Segments	Branch
29.5b	10	`a`
13.0b	5	`b_2`
33.8b	3	`c`

Compiler

Compiled 553 to 270 computations (51.2% saved)

bsearch172.0ms (0.7%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
62.0ms	0.0001683843659603081	1916.6588952446655
25.0ms	2.1801689488354173e-16	4.0297146331776206e-16
39.0ms	4.179085702491215e-143	2.309834092837832e-138
45.0ms	-2.115884941548943e-71	-7.756361187976892e-89

Results

74.0ms	374×	body	256	valid
28.0ms	59×	body	1024	valid
25.0ms	30×	body	2048	valid
21.0ms	113×	body	256	invalid
11.0ms	33×	body	512	valid

Compiler

Compiled 673 to 511 computations (24.1% saved)

regimes470.0ms (2%)

Counts

45 → 2

Calls

Call 1

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

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

Calls

3 calls:

269.0ms	a
104.0ms	c
75.0ms	b_2

Results

Error	Segments	Branch
32.2b	8	`a`
22.1b	2	`b_2`
35.2b	3	`c`

Compiler

Compiled 537 to 263 computations (51% saved)

bsearch18.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
18.0ms	1.0432225893017033e-214	2.001747436693139e-214

Results

12.0ms	64×	body	256	valid
4.0ms	25×	body	256	invalid

Compiler

Compiled 94 to 71 computations (24.5% saved)

regimes20.0ms (0.1%)

Accuracy

Total -12.8b remaining (-27.3%)

Threshold costs -12.8b (-27.3%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

3 calls:

7.0ms	b_2
6.0ms	c
6.0ms	a

Results

Error	Segments	Branch
46.8b	1	`a`
46.8b	1	`b_2`
46.8b	1	`c`

Compiler

Compiled 24 to 17 computations (29.2% saved)

simplify39.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

28×	`+-commutative`
24×	`*-commutative`
22×	`sub-neg`
14×	`neg-mul-1`
14×	`if-if-or-not`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	94	716
1	132	654
2	160	654
3	180	642
4	189	642
5	195	642
6	196	642

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 b_2 -100000000000000004625108135904199474001226272395072688491888727201272553753779650923383419882203425131989662450489690590919397689516441796634752009109504) (.f64 -2 (/.f64 b_2 a)) (if (<=.f64 b_2 3236216423804175/2568425733177916751582514591250062824975751856847252861083144972201529372215371495172688738416791235950675277761805770367685269653410060480042878305982363696267199058168185838960773319279454451792623658074112) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (if (<=.f64 b_2 2750000000000000049068467650790527593080785770105193334066495432957376856064) (/.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 -1059999999999999951339021695254948334583878707239961080884621631957941767957781529909943928310675411359013206045367508897262711626699968777277912410750976) (.f64 -2 (/.f64 b_2 a)) (if (<=.f64 b_2 7709489559716993/3351951982485649274893506249551461531869841455148098344430890360930441007518386744200468574541725856922507964546621512713438470702986642486608412251521024) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (if (<=.f64 b_2 7707315649387635/20282409603651670423947251286016) (.f64 -1/2 (/.f64 c b_2)) (if (<=.f64 b_2 3504881374004815/18446744073709551616) (-.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a) (/.f64 b_2 a)) (*.f64 -1/2 (/.f64 c b_2))))))
(if (<=.f64 b_2 -100000000000000004625108135904199474001226272395072688491888727201272553753779650923383419882203425131989662450489690590919397689516441796634752009109504) (.f64 -2 (/.f64 b_2 a)) (if (<=.f64 b_2 7709489559716993/3351951982485649274893506249551461531869841455148098344430890360930441007518386744200468574541725856922507964546621512713438470702986642486608412251521024) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (if (<=.f64 b_2 2535301200456459/10141204801825835211973625643008) (.f64 -1/2 (/.f64 c b_2)) (if (<=.f64 b_2 48999163945791/288230376151711744) (/.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 -4199521391583383/8749002899132047697490008908470485461412677723572849745703082425639811996797503692894052708092215296) (.f64 -2 (/.f64 b_2 a)) (if (<=.f64 b_2 7039099163219863/3351951982485649274893506249551461531869841455148098344430890360930441007518386744200468574541725856922507964546621512713438470702986642486608412251521024) (/.f64 (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2) a) (if (<=.f64 b_2 6084722881095501/20282409603651670423947251286016) (.f64 -1/2 (/.f64 c b_2)) (if (<=.f64 b_2 6456360425798343/36893488147419103232) (/.f64 (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2) a) (*.f64 -1/2 (/.f64 c b_2))))))
(if (<=.f64 b_2 -7475954625723185/266998379490113760299377713271194014325338065294581596243380200977777465722580068752870260867072) (.f64 -2 (/.f64 b_2 a)) (if (<=.f64 b_2 7709489559716993/3351951982485649274893506249551461531869841455148098344430890360930441007518386744200468574541725856922507964546621512713438470702986642486608412251521024) (/.f64 (sqrt.f64 (-.f64 0 (.f64 c a))) a) (if (<=.f64 b_2 3752245776675559/10141204801825835211973625643008) (.f64 -1/2 (/.f64 c b_2)) (if (<=.f64 b_2 1498797955988901/1152921504606846976) (/.f64 (sqrt.f64 (-.f64 0 (.f64 c a))) a) (*.f64 -1/2 (/.f64 c b_2))))))
(if (<=.f64 b_2 7277428557659573/48516190384397154223405609014453204851777688034896769098095376188314092271449277697839950275895202435952741584285346037692861876378587949732633977345036910600139218000651559548445790175987451400789468724803639648465401464181751808) (.f64 -2 (/.f64 b_2 a)) (.f64 -1/2 (/.f64 c b_2)))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (neg.f64 b_2) a)

Outputs
(if (<=.f64 b_2 -100000000000000004625108135904199474001226272395072688491888727201272553753779650923383419882203425131989662450489690590919397689516441796634752009109504) (.f64 -2 (/.f64 b_2 a)) (if (<=.f64 b_2 3236216423804175/2568425733177916751582514591250062824975751856847252861083144972201529372215371495172688738416791235950675277761805770367685269653410060480042878305982363696267199058168185838960773319279454451792623658074112) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (if (<=.f64 b_2 2750000000000000049068467650790527593080785770105193334066495432957376856064) (/.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 -100000000000000004625108135904199474001226272395072688491888727201272553753779650923383419882203425131989662450489690590919397689516441796634752009109504) (.f64 -2 (/.f64 b_2 a)) (if (<=.f64 b_2 3236216423804175/2568425733177916751582514591250062824975751856847252861083144972201529372215371495172688738416791235950675277761805770367685269653410060480042878305982363696267199058168185838960773319279454451792623658074112) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (if (<=.f64 b_2 2750000000000000049068467650790527593080785770105193334066495432957376856064) (/.f64 (/.f64 (.f64 c (neg.f64 a)) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) a) (*.f64 -1/2 (/.f64 c b_2)))))
(if (<=.f64 b_2 -100000000000000004625108135904199474001226272395072688491888727201272553753779650923383419882203425131989662450489690590919397689516441796634752009109504) (.f64 -2 (/.f64 b_2 a)) (if (<=.f64 b_2 3236216423804175/2568425733177916751582514591250062824975751856847252861083144972201529372215371495172688738416791235950675277761805770367685269653410060480042878305982363696267199058168185838960773319279454451792623658074112) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (if (<=.f64 b_2 2750000000000000049068467650790527593080785770105193334066495432957376856064) (/.f64 (/.f64 (.f64 a (neg.f64 c)) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) a) (*.f64 -1/2 (/.f64 c b_2)))))
(if (<=.f64 b_2 -1059999999999999951339021695254948334583878707239961080884621631957941767957781529909943928310675411359013206045367508897262711626699968777277912410750976) (.f64 -2 (/.f64 b_2 a)) (if (<=.f64 b_2 7709489559716993/3351951982485649274893506249551461531869841455148098344430890360930441007518386744200468574541725856922507964546621512713438470702986642486608412251521024) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (if (<=.f64 b_2 7707315649387635/20282409603651670423947251286016) (.f64 -1/2 (/.f64 c b_2)) (if (<=.f64 b_2 3504881374004815/18446744073709551616) (-.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a) (/.f64 b_2 a)) (*.f64 -1/2 (/.f64 c b_2))))))
(if (<=.f64 b_2 -1059999999999999951339021695254948334583878707239961080884621631957941767957781529909943928310675411359013206045367508897262711626699968777277912410750976) (.f64 -2 (/.f64 b_2 a)) (if (<=.f64 b_2 7709489559716993/3351951982485649274893506249551461531869841455148098344430890360930441007518386744200468574541725856922507964546621512713438470702986642486608412251521024) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (if (or (<=.f64 b_2 7707315649387635/20282409603651670423947251286016) (not (<=.f64 b_2 3504881374004815/18446744073709551616))) (.f64 -1/2 (/.f64 c b_2)) (-.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a) (/.f64 b_2 a)))))
(if (<=.f64 b_2 -100000000000000004625108135904199474001226272395072688491888727201272553753779650923383419882203425131989662450489690590919397689516441796634752009109504) (.f64 -2 (/.f64 b_2 a)) (if (<=.f64 b_2 7709489559716993/3351951982485649274893506249551461531869841455148098344430890360930441007518386744200468574541725856922507964546621512713438470702986642486608412251521024) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (if (<=.f64 b_2 2535301200456459/10141204801825835211973625643008) (.f64 -1/2 (/.f64 c b_2)) (if (<=.f64 b_2 48999163945791/288230376151711744) (/.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 -100000000000000004625108135904199474001226272395072688491888727201272553753779650923383419882203425131989662450489690590919397689516441796634752009109504) (.f64 -2 (/.f64 b_2 a)) (if (<=.f64 b_2 7709489559716993/3351951982485649274893506249551461531869841455148098344430890360930441007518386744200468574541725856922507964546621512713438470702986642486608412251521024) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (if (or (<=.f64 b_2 2535301200456459/10141204801825835211973625643008) (not (<=.f64 b_2 48999163945791/288230376151711744))) (.f64 -1/2 (/.f64 c b_2)) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a))))
(if (<=.f64 b_2 -100000000000000004625108135904199474001226272395072688491888727201272553753779650923383419882203425131989662450489690590919397689516441796634752009109504) (.f64 -2 (/.f64 b_2 a)) (if (or (<=.f64 b_2 7709489559716993/3351951982485649274893506249551461531869841455148098344430890360930441007518386744200468574541725856922507964546621512713438470702986642486608412251521024) (not (or (<=.f64 b_2 2535301200456459/10141204801825835211973625643008) (not (<=.f64 b_2 48999163945791/288230376151711744))))) (/.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 -100000000000000004625108135904199474001226272395072688491888727201272553753779650923383419882203425131989662450489690590919397689516441796634752009109504) (.f64 -2 (/.f64 b_2 a)) (if (or (<=.f64 b_2 7709489559716993/3351951982485649274893506249551461531869841455148098344430890360930441007518386744200468574541725856922507964546621512713438470702986642486608412251521024) (and (not (<=.f64 b_2 2535301200456459/10141204801825835211973625643008)) (<=.f64 b_2 48999163945791/288230376151711744))) (/.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 -4199521391583383/8749002899132047697490008908470485461412677723572849745703082425639811996797503692894052708092215296) (.f64 -2 (/.f64 b_2 a)) (if (<=.f64 b_2 7039099163219863/3351951982485649274893506249551461531869841455148098344430890360930441007518386744200468574541725856922507964546621512713438470702986642486608412251521024) (/.f64 (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2) a) (if (<=.f64 b_2 6084722881095501/20282409603651670423947251286016) (.f64 -1/2 (/.f64 c b_2)) (if (<=.f64 b_2 6456360425798343/36893488147419103232) (/.f64 (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2) a) (*.f64 -1/2 (/.f64 c b_2))))))
(if (<=.f64 b_2 -4199521391583383/8749002899132047697490008908470485461412677723572849745703082425639811996797503692894052708092215296) (.f64 -2 (/.f64 b_2 a)) (if (<=.f64 b_2 7039099163219863/3351951982485649274893506249551461531869841455148098344430890360930441007518386744200468574541725856922507964546621512713438470702986642486608412251521024) (/.f64 (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2) a) (if (or (<=.f64 b_2 6084722881095501/20282409603651670423947251286016) (not (<=.f64 b_2 6456360425798343/36893488147419103232))) (.f64 -1/2 (/.f64 c b_2)) (/.f64 (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2) a))))
(if (<=.f64 b_2 -4199521391583383/8749002899132047697490008908470485461412677723572849745703082425639811996797503692894052708092215296) (.f64 -2 (/.f64 b_2 a)) (if (or (<=.f64 b_2 7039099163219863/3351951982485649274893506249551461531869841455148098344430890360930441007518386744200468574541725856922507964546621512713438470702986642486608412251521024) (not (or (<=.f64 b_2 6084722881095501/20282409603651670423947251286016) (not (<=.f64 b_2 6456360425798343/36893488147419103232))))) (/.f64 (-.f64 (sqrt.f64 (.f64 a (neg.f64 c))) b_2) a) (*.f64 -1/2 (/.f64 c b_2))))
(if (<=.f64 b_2 -4199521391583383/8749002899132047697490008908470485461412677723572849745703082425639811996797503692894052708092215296) (.f64 -2 (/.f64 b_2 a)) (if (or (<=.f64 b_2 7039099163219863/3351951982485649274893506249551461531869841455148098344430890360930441007518386744200468574541725856922507964546621512713438470702986642486608412251521024) (and (not (<=.f64 b_2 6084722881095501/20282409603651670423947251286016)) (<=.f64 b_2 6456360425798343/36893488147419103232))) (/.f64 (-.f64 (sqrt.f64 (.f64 a (neg.f64 c))) b_2) a) (*.f64 -1/2 (/.f64 c b_2))))
(if (<=.f64 b_2 -7475954625723185/266998379490113760299377713271194014325338065294581596243380200977777465722580068752870260867072) (.f64 -2 (/.f64 b_2 a)) (if (<=.f64 b_2 7709489559716993/3351951982485649274893506249551461531869841455148098344430890360930441007518386744200468574541725856922507964546621512713438470702986642486608412251521024) (/.f64 (sqrt.f64 (-.f64 0 (.f64 c a))) a) (if (<=.f64 b_2 3752245776675559/10141204801825835211973625643008) (.f64 -1/2 (/.f64 c b_2)) (if (<=.f64 b_2 1498797955988901/1152921504606846976) (/.f64 (sqrt.f64 (-.f64 0 (.f64 c a))) a) (*.f64 -1/2 (/.f64 c b_2))))))
(if (<=.f64 b_2 -7475954625723185/266998379490113760299377713271194014325338065294581596243380200977777465722580068752870260867072) (.f64 -2 (/.f64 b_2 a)) (if (<=.f64 b_2 7709489559716993/3351951982485649274893506249551461531869841455148098344430890360930441007518386744200468574541725856922507964546621512713438470702986642486608412251521024) (/.f64 (sqrt.f64 (.f64 c (neg.f64 a))) a) (if (or (<=.f64 b_2 3752245776675559/10141204801825835211973625643008) (not (<=.f64 b_2 1498797955988901/1152921504606846976))) (.f64 -1/2 (/.f64 c b_2)) (/.f64 (sqrt.f64 (.f64 c (neg.f64 a))) a))))
(if (<=.f64 b_2 -7475954625723185/266998379490113760299377713271194014325338065294581596243380200977777465722580068752870260867072) (.f64 -2 (/.f64 b_2 a)) (if (or (<=.f64 b_2 7709489559716993/3351951982485649274893506249551461531869841455148098344430890360930441007518386744200468574541725856922507964546621512713438470702986642486608412251521024) (not (or (<=.f64 b_2 3752245776675559/10141204801825835211973625643008) (not (<=.f64 b_2 1498797955988901/1152921504606846976))))) (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) a) (*.f64 -1/2 (/.f64 c b_2))))
(if (<=.f64 b_2 -7475954625723185/266998379490113760299377713271194014325338065294581596243380200977777465722580068752870260867072) (.f64 -2 (/.f64 b_2 a)) (if (or (<=.f64 b_2 7709489559716993/3351951982485649274893506249551461531869841455148098344430890360930441007518386744200468574541725856922507964546621512713438470702986642486608412251521024) (and (not (<=.f64 b_2 3752245776675559/10141204801825835211973625643008)) (<=.f64 b_2 1498797955988901/1152921504606846976))) (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) a) (*.f64 -1/2 (/.f64 c b_2))))
(if (<=.f64 b_2 7277428557659573/48516190384397154223405609014453204851777688034896769098095376188314092271449277697839950275895202435952741584285346037692861876378587949732633977345036910600139218000651559548445790175987451400789468724803639648465401464181751808) (.f64 -2 (/.f64 b_2 a)) (.f64 -1/2 (/.f64 c b_2)))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (neg.f64 b_2) a)

Compiler

Compiled 260 to 163 computations (37.3% saved)

soundness1.8s (7.4%)

Algorithm

4×	egg-herbie

Rules

696×	`associate-/l*`
696×	`associate-/l*`
696×	`associate-/l*`
696×	`associate-/l*`
690×	`associate-r`

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	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×	saturated
1×	saturated
1×	saturated

Compiler

Compiled 164 to 56 computations (65.9% saved)

end112.0ms (0.5%)

Compiler: Compiled 239 to 114 computations (52.3% saved)