Details

analyze281.0ms (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)

sample1.7s (13.6%)

Results

644.0ms	5569×	body	256	valid
388.0ms	1138×	body	2048	valid
206.0ms	792×	body	1024	valid
168.0ms	396×	body	4096	valid
128.0ms	1205×	body	256	invalid
72.0ms	361×	body	512	valid
41.0ms	359×	body	256	infinite

Bogosity

preprocess160.0ms (1.2%)

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)

simplify152.0ms (1.2%)

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

34.0b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	34.0b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)

Compiler

Compiled 15 to 9 computations (40% saved)

localize11.0ms (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))
✓	1.8b	(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)
✓	24.3b	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

Compiler

Compiled 49 to 9 computations (81.6% saved)

series15.0ms (0.1%)

Counts

4 → 96

Calls

36 calls:

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

rewrite147.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 310

Calls

Call 1

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

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

simplify216.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	865	22556
1	2413	21450

Stop Event

1×	node limit

Counts

406 → 566

Calls

Call 1

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

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

eval181.0ms (1.4%)

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

prune137.0ms (1.1%)

Pruning

22 alts after pruning (21 fresh and 1 done)

	Pruned	Kept	Total
New	545	21	566
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	545	22	567

Error

5.7b

Counts

567 → 22

Alt Table

Click to see full alt table

Status	Error	Program
▶	34.1b	(pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) -1)
	48.0b	(pow.f64 (sqrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)) 2)
	34.4b	(pow.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)) 3)
	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)
	34.5b	(/.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))
▶	46.0b	(/.f64 (/.f64 (.f64 (.f64 c -1/2) a) b_2) a)
	56.9b	(/.f64 (-.f64 (+.f64 b_2 (/.f64 (.f64 (.f64 c -1/2) a) b_2)) b_2) a)
✓	34.0b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
	34.1b	(/.f64 (-.f64 (sqrt.f64 (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 2 (.f64 2 (fma.f64 (neg.f64 c) a (*.f64 c a)))))) b_2) a)
▶	45.3b	(/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)
	50.1b	(/.f64 (-.f64 (sqrt.f64 (*.f64 b_2 b_2)) b_2) a)
	36.8b	(/.f64 (-.f64 (exp.f64 (.f64 (log.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) 1/2)) b_2) a)
	56.7b	(/.f64 (-.f64 b_2 b_2) a)
	46.2b	(/.f64 (+.f64 (.f64 -2 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2))) a)
	54.9b	(/.f64 (.f64 (+.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 1/4) (sqrt.f64 b_2)) (-.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)) 1/4) (sqrt.f64 b_2))) a)
	45.1b	(/.f64 (*.f64 b_2 -2) a)
	46.7b	(/.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) a)
	39.8b	(/.f64 -1/2 (/.f64 b_2 c))
	45.3b	(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
	34.1b	(.f64 (/.f64 1 a) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2))
▶	39.3b	(*.f64 -1/2 (/.f64 c b_2))
▶	49.1b	(exp.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)))

Compiler

Compiled 687 to 431 computations (37.3% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) -1)
	0.6b	(-.f64 (.f64 b_2 b_2) (.f64 a c))
	1.8b	(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)
	24.3b	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

Compiler

Compiled 64 to 12 computations (81.3% saved)

series22.0ms (0.2%)

Counts

1 → 20

Calls

9 calls:

Time	Variable		Point	Expression
7.0ms	c	@	inf	(pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) -1)
5.0ms	a	@	-inf	(pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) -1)
2.0ms	a	@	inf	(pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) -1)
2.0ms	b_2	@	0	(pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) -1)
1.0ms	a	@	0	(pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) -1)

rewrite89.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1882×	`associate-*r/`
1512×	`associate-*l/`
680×	`associate-+l+`
330×	`add-sqr-sqrt`
320×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	41
1	314	35
2	4399	35

Stop Event

1×	node limit

Counts

1 → 93

Calls

Call 1

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

Outputs
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Outputs

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((x cbrt.f64 (/.f64 (pow.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) 3) (pow.f64 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 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)) (log.f64 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)))))))

simplify114.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1210×	`associate-+r+`
1010×	`associate-r`
890×	`+-commutative`
724×	`associate-l`
714×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	488	7645
1	1528	7349
2	6929	7349

Stop Event

1×	node limit

Counts

113 → 155

Calls

Call 1

Inputs
(*.f64 -1/2 (/.f64 c b_2))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 c 2) (+.f64 (.f64 -1/4 (/.f64 c (pow.f64 b_2 3))) (.f64 1/8 (/.f64 c (pow.f64 b_2 3))))) (pow.f64 b_2 2))) (.f64 1/32 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)))))) (.f64 -1/2 (/.f64 c b_2))))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (.f64 1/4 (/.f64 (.f64 c (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 c 2) (+.f64 (.f64 -1/4 (/.f64 c (pow.f64 b_2 3))) (.f64 1/8 (/.f64 c (pow.f64 b_2 3))))) (pow.f64 b_2 2))) (.f64 1/32 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))))) (pow.f64 b_2 2))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (+.f64 (.f64 -1/4 (/.f64 c (pow.f64 b_2 3))) (.f64 1/8 (/.f64 c (pow.f64 b_2 3))))) (pow.f64 b_2 4))) (.f64 -1/4 (/.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (.f64 c (+.f64 (.f64 -1/4 (/.f64 c (pow.f64 b_2 3))) (.f64 1/8 (/.f64 c (pow.f64 b_2 3))))) (pow.f64 b_2 2))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 c 2) (pow.f64 b_2 5))) (.f64 -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)))) b_2) (pow.f64 c 2))))) (pow.f64 c 2)) (pow.f64 b_2 2))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 c 2) (+.f64 (.f64 -1/4 (/.f64 c (pow.f64 b_2 3))) (.f64 1/8 (/.f64 c (pow.f64 b_2 3))))) (pow.f64 b_2 2))) (.f64 1/32 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)))))) (.f64 -1/2 (/.f64 c b_2)))))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (.f64 -1 (/.f64 b_2 a)))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -1)))) (.f64 -1 (/.f64 (.f64 c (.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (pow.f64 (sqrt.f64 -1) 2))) a))) (pow.f64 b_2 2))) (+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (.f64 -1 (/.f64 b_2 a))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -1)))) (.f64 -1 (/.f64 (.f64 c (.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (pow.f64 (sqrt.f64 -1) 2))) a))) (pow.f64 b_2 2))) (+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 -1 (.f64 (pow.f64 b_2 3) (+.f64 (.f64 (sqrt.f64 (/.f64 c (pow.f64 a 3))) (.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (sqrt.f64 -1))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -1)))) (.f64 -1 (/.f64 (.f64 c (.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (pow.f64 (sqrt.f64 -1) 2))) a))) (sqrt.f64 -1)))) (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (sqrt.f64 -1))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) a))))) (.f64 c (pow.f64 (sqrt.f64 -1) 2))) a)))))) (*.f64 -1 (/.f64 b_2 a)))))
(*.f64 -1/2 (/.f64 c b_2))
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(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2) (pow.f64 b_2 3))) (/.f64 1 a)) (neg.f64 (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (.f64 b_2 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))))
(/.f64 (.f64 (-.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (.f64 (neg.f64 b_2) (neg.f64 b_2))) (/.f64 1 a)) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2)))
(/.f64 (.f64 (+.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2) (pow.f64 (neg.f64 b_2) 3)) (/.f64 1 a)) (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (-.f64 (.f64 (neg.f64 b_2) (neg.f64 b_2)) (.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) (neg.f64 b_2)))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) 2) 1) (/.f64 a (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2))))
(/.f64 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2))) 2)) 1) (cbrt.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2))))
(/.f64 (.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2) 1) 1) a)
(/.f64 (.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2) (sqrt.f64 a)) 1) (sqrt.f64 a))
(/.f64 (.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2) (pow.f64 (cbrt.f64 a) 2)) 1) (cbrt.f64 a))
(/.f64 (.f64 1 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2) (cbrt.f64 a))) (pow.f64 (cbrt.f64 a) 2))
(/.f64 (.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)) a)) 1)
(/.f64 (.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)) (sqrt.f64 a))) (sqrt.f64 a))
(/.f64 (.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)) (cbrt.f64 a))) (pow.f64 (cbrt.f64 a) 2))
(/.f64 (.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)) a)) 1)
(/.f64 (.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)) (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) (/.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2)) (cbrt.f64 a))) (pow.f64 (cbrt.f64 a) 2))
(sqrt.f64 (pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) -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))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) 3) (pow.f64 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 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) (log.f64 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 -1/2 (/.f64 c b_2))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (.f64 -1/2 (/.f64 c b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 c 2) (+.f64 (.f64 -1/4 (/.f64 c (pow.f64 b_2 3))) (.f64 1/8 (/.f64 c (pow.f64 b_2 3))))) (pow.f64 b_2 2))) (.f64 1/32 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)))))) (.f64 -1/2 (/.f64 c b_2))))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (fma.f64 -1 (.f64 (.f64 a a) (fma.f64 -1/4 (/.f64 (.f64 c c) (/.f64 (.f64 b_2 b_2) (.f64 (/.f64 c (pow.f64 b_2 3)) -1/8))) (.f64 1/32 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))))) (.f64 -1/2 (/.f64 c b_2))))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (-.f64 (.f64 -1/2 (/.f64 c b_2)) (.f64 a (.f64 a (fma.f64 1/32 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (/.f64 (.f64 (.f64 c -1/4) c) (/.f64 (.f64 b_2 b_2) (/.f64 (.f64 c -1/8) (pow.f64 b_2 3)))))))))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (.f64 1/4 (/.f64 (.f64 c (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 c 2) (+.f64 (.f64 -1/4 (/.f64 c (pow.f64 b_2 3))) (.f64 1/8 (/.f64 c (pow.f64 b_2 3))))) (pow.f64 b_2 2))) (.f64 1/32 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))))) (pow.f64 b_2 2))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (+.f64 (.f64 -1/4 (/.f64 c (pow.f64 b_2 3))) (.f64 1/8 (/.f64 c (pow.f64 b_2 3))))) (pow.f64 b_2 4))) (.f64 -1/4 (/.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (.f64 c (+.f64 (.f64 -1/4 (/.f64 c (pow.f64 b_2 3))) (.f64 1/8 (/.f64 c (pow.f64 b_2 3))))) (pow.f64 b_2 2))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 c 2) (pow.f64 b_2 5))) (.f64 -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)))) b_2) (pow.f64 c 2))))) (pow.f64 c 2)) (pow.f64 b_2 2))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 c 2) (+.f64 (.f64 -1/4 (/.f64 c (pow.f64 b_2 3))) (.f64 1/8 (/.f64 c (pow.f64 b_2 3))))) (pow.f64 b_2 2))) (.f64 1/32 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)))))) (.f64 -1/2 (/.f64 c b_2)))))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (fma.f64 -1 (.f64 (pow.f64 a 3) (fma.f64 1/4 (/.f64 c (/.f64 (.f64 b_2 b_2) (fma.f64 -1/4 (/.f64 (.f64 c c) (/.f64 (.f64 b_2 b_2) (.f64 (/.f64 c (pow.f64 b_2 3)) -1/8))) (.f64 1/32 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)))))) (fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 4) (.f64 (/.f64 c (pow.f64 b_2 3)) -1/8))) (.f64 -1/4 (/.f64 (fma.f64 -1/4 (/.f64 c (/.f64 (.f64 b_2 b_2) (.f64 (/.f64 c (pow.f64 b_2 3)) -1/8))) (fma.f64 1/16 (/.f64 (.f64 c c) (pow.f64 b_2 5)) (.f64 -2 (/.f64 (+.f64 (pow.f64 (/.f64 (.f64 -1/8 (.f64 c c)) (pow.f64 b_2 3)) 2) (.f64 1/16 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)))) (/.f64 (.f64 c c) b_2))))) (/.f64 (.f64 b_2 b_2) (.f64 c c))))))) (fma.f64 -1 (.f64 (.f64 a a) (fma.f64 -1/4 (/.f64 (.f64 c c) (/.f64 (.f64 b_2 b_2) (.f64 (/.f64 c (pow.f64 b_2 3)) -1/8))) (.f64 1/32 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))))) (.f64 -1/2 (/.f64 c b_2)))))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (-.f64 (-.f64 (.f64 -1/2 (/.f64 c b_2)) (.f64 a (.f64 a (fma.f64 1/32 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (/.f64 (.f64 (.f64 c -1/4) c) (/.f64 (.f64 b_2 b_2) (/.f64 (.f64 c -1/8) (pow.f64 b_2 3)))))))) (.f64 (pow.f64 a 3) (fma.f64 1/4 (.f64 (/.f64 c b_2) (/.f64 (fma.f64 1/32 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (/.f64 (.f64 (.f64 c -1/4) c) (/.f64 (.f64 b_2 b_2) (/.f64 (.f64 c -1/8) (pow.f64 b_2 3))))) b_2)) (fma.f64 -1/4 (/.f64 (fma.f64 -1/4 (.f64 (/.f64 c b_2) (/.f64 (/.f64 (.f64 c -1/8) (pow.f64 b_2 3)) b_2)) (fma.f64 -2 (/.f64 (fma.f64 1/16 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)) (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)) 1/64)) (/.f64 c (/.f64 b_2 c))) (.f64 1/16 (/.f64 c (/.f64 (pow.f64 b_2 5) c))))) (.f64 (/.f64 b_2 c) (/.f64 b_2 c))) (.f64 -1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 4)) (/.f64 (.f64 c -1/8) (pow.f64 b_2 3)))))))))
(*.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))
(fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (neg.f64 (/.f64 b_2 a)))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -1)))) (.f64 -1 (/.f64 (.f64 c (.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (pow.f64 (sqrt.f64 -1) 2))) a))) (pow.f64 b_2 2))) (+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (.f64 -1 (/.f64 b_2 a))))
(fma.f64 -1 (.f64 (.f64 b_2 b_2) (.f64 -1 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -1))) (/.f64 c (/.f64 a (.f64 (.f64 (.f64 (sqrt.f64 (/.f64 1 (*.f64 a (pow.f64 c 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) -1/2) (pow.f64 (sqrt.f64 -1) 2))))))) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (/.f64 (neg.f64 b_2) a)))
(fma.f64 (.f64 1 (+.f64 (/.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (sqrt.f64 -1)) (.f64 (/.f64 c a) (.f64 (sqrt.f64 (/.f64 1 (.f64 a (pow.f64 c 3)))) (.f64 (/.f64 -1 (sqrt.f64 -1)) 1/2))))) (*.f64 b_2 b_2) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (neg.f64 (/.f64 b_2 a))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -1)))) (.f64 -1 (/.f64 (.f64 c (.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (pow.f64 (sqrt.f64 -1) 2))) a))) (pow.f64 b_2 2))) (+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 -1 (.f64 (pow.f64 b_2 3) (+.f64 (.f64 (sqrt.f64 (/.f64 c (pow.f64 a 3))) (.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (sqrt.f64 -1))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -1)))) (.f64 -1 (/.f64 (.f64 c (.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (pow.f64 (sqrt.f64 -1) 2))) a))) (sqrt.f64 -1)))) (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (sqrt.f64 -1))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) a))))) (.f64 c (pow.f64 (sqrt.f64 -1) 2))) a)))))) (*.f64 -1 (/.f64 b_2 a)))))
(fma.f64 -1 (.f64 (.f64 b_2 b_2) (.f64 -1 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -1))) (/.f64 c (/.f64 a (.f64 (.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 a (pow.f64 c 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) -1/2) (pow.f64 (sqrt.f64 -1) 2))))))) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (.f64 -1 (+.f64 (.f64 (pow.f64 b_2 3) (fma.f64 (sqrt.f64 (/.f64 c (pow.f64 a 3))) (.f64 (sqrt.f64 -1) (.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 a (pow.f64 c 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) -1/2)) (.f64 -1 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 -1 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -1))) (/.f64 c (/.f64 a (.f64 (.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 a (pow.f64 c 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) -1/2) (pow.f64 (sqrt.f64 -1) 2)))))) (sqrt.f64 -1))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 a (pow.f64 c 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) -1/2) (sqrt.f64 -1)) (/.f64 1/2 (.f64 (.f64 c c) (.f64 a (pow.f64 (sqrt.f64 -1) 4))))) (/.f64 a (*.f64 c (pow.f64 (sqrt.f64 -1) 2)))))))) (/.f64 b_2 a)))))
(fma.f64 (.f64 1 (+.f64 (/.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (sqrt.f64 -1)) (.f64 (/.f64 c a) (.f64 (sqrt.f64 (/.f64 1 (.f64 a (pow.f64 c 3)))) (.f64 (/.f64 -1 (sqrt.f64 -1)) 1/2))))) (.f64 b_2 b_2) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (neg.f64 (fma.f64 (pow.f64 b_2 3) (fma.f64 (sqrt.f64 (/.f64 c (pow.f64 a 3))) (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 (/.f64 1 (.f64 a (pow.f64 c 3)))) (.f64 (/.f64 -1 (sqrt.f64 -1)) -1/2))) (neg.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 1 a) c)) (/.f64 (-.f64 (/.f64 (neg.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3))))) (sqrt.f64 -1)) (.f64 (/.f64 c a) (.f64 (sqrt.f64 (/.f64 1 (.f64 a (pow.f64 c 3)))) (.f64 (/.f64 -1 (sqrt.f64 -1)) 1/2)))) (sqrt.f64 -1)) (.f64 (/.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 1 a) c)) (/.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 a (pow.f64 c 3)))) (/.f64 -1 (sqrt.f64 -1))) (/.f64 (sqrt.f64 -1) -1/2)) (/.f64 1/2 (.f64 c (.f64 c a)))) a) (.f64 c -1))))) (/.f64 b_2 a)))))
(*.f64 -1/2 (/.f64 c b_2))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (.f64 -1/2 (/.f64 c b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/32 (.f64 (pow.f64 c 3) (pow.f64 a 2))) (.f64 -1/4 (.f64 (pow.f64 c 2) (+.f64 (.f64 1/8 (.f64 c (pow.f64 a 2))) (.f64 -1/4 (.f64 c (pow.f64 a 2))))))) (pow.f64 b_2 5))) (.f64 -1/2 (/.f64 c b_2))))
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(/.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3/2) (pow.f64 b_2 3)) a) (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 b_2 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3/2) (pow.f64 b_2 3)) a) (fma.f64 b_2 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (-.f64 (.f64 b_2 b_2) (.f64 c a))))
(/.f64 (.f64 (neg.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (.f64 a c)))) (/.f64 1 a)) (neg.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))))))
(/.f64 (neg.f64 (/.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (.f64 c a))) a)) (neg.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))))
(/.f64 (+.f64 (.f64 b_2 (neg.f64 b_2)) (fma.f64 c a (.f64 b_2 b_2))) (.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)))) a))
(/.f64 (+.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 b_2 (neg.f64 b_2))) (.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)))) a))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2) (pow.f64 b_2 3))) (/.f64 1 a)) (neg.f64 (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (.f64 b_2 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))))
(/.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3/2) (pow.f64 b_2 3)) a)) (neg.f64 (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 b_2 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))))))))
(/.f64 (+.f64 (pow.f64 b_2 3) (neg.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3/2))) (.f64 (neg.f64 (fma.f64 b_2 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (-.f64 (.f64 b_2 b_2) (*.f64 c a)))) a))
(/.f64 (.f64 (-.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (.f64 (neg.f64 b_2) (neg.f64 b_2))) (/.f64 1 a)) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2)))
(/.f64 (/.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (.f64 c a))) a) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))))
(/.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 c a (.f64 b_2 b_2))) (.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))))))
(/.f64 (.f64 (+.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2) (pow.f64 (neg.f64 b_2) 3)) (/.f64 1 a)) (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (-.f64 (.f64 (neg.f64 b_2) (neg.f64 b_2)) (.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) (neg.f64 b_2)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3/2) (pow.f64 b_2 3)) a) (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 b_2 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) 3/2) (pow.f64 b_2 3)) a) (fma.f64 b_2 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (-.f64 (.f64 b_2 b_2) (.f64 c a))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) 2) 1) (/.f64 a (cbrt.f64 (-.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 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2))) 2)) 1) (cbrt.f64 (/.f64 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 (.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2) 1) 1) a)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(/.f64 (.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2) (sqrt.f64 a)) 1) (sqrt.f64 a))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(/.f64 (.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2) (pow.f64 (cbrt.f64 a) 2)) 1) (cbrt.f64 a))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(/.f64 (.f64 1 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2) (cbrt.f64 a))) (pow.f64 (cbrt.f64 a) 2))
(/.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)) (/.f64 (sqrt.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 (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)) (sqrt.f64 a))) (sqrt.f64 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)) (/.f64 (sqrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2)) (cbrt.f64 a))) (pow.f64 (cbrt.f64 a) 2))
(/.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) (/.f64 (cbrt.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 (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)) (sqrt.f64 a))) (sqrt.f64 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) (/.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2)) (cbrt.f64 a))) (pow.f64 (cbrt.f64 a) 2))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(sqrt.f64 (pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) -2))
(sqrt.f64 (pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2)) -2))
(fabs.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a))
(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)
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) 3) (pow.f64 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 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) (log.f64 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)

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 7 computations (50% saved)

series2.0ms (0%)

Counts

1 → 0

Calls

6 calls:

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

rewrite58.0ms (0.5%)

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

Outputs

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

simplify54.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1040×	`associate-r`
964×	`distribute-rgt-neg-out`
964×	`distribute-lft-neg-out`
924×	`associate-l`
652×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	61	531
1	145	417
2	544	297
3	3887	297

Stop Event

1×	node limit

Counts

21 → 27

Calls

Call 1

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

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

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	6.6b	(/.f64 (.f64 (.f64 c -1/2) a) b_2)
✓	9.5b	(/.f64 (/.f64 (.f64 (.f64 c -1/2) a) b_2) a)

Compiler

Compiled 31 to 18 computations (41.9% saved)

series5.0ms (0%)

Counts

2 → 72

Calls

18 calls:

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

rewrite84.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

956×	`unswap-sqr`
892×	`swap-sqr`
716×	`associate-/l/`
704×	`associate-/r/`
508×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	44
1	216	44
2	3069	44

Stop Event

1×	node limit

Counts

2 → 180

Calls

Call 1

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

Outputs

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simplify145.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1904×	`distribute-lft-in`
1154×	`associate-l`
1054×	`associate-r`
754×	`*-commutative`
748×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	434	5288
1	1285	5096
2	6191	5096

Stop Event

1×	node limit

Counts

252 → 222

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)
✓	14.7b	(sqrt.f64 (*.f64 c (neg.f64 a)))

Compiler

Compiled 33 to 8 computations (75.8% saved)

series10.0ms (0.1%)

Counts

2 → 14

Calls

15 calls:

Time	Variable		Point	Expression
3.0ms	a	@	-inf	(/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)
2.0ms	c	@	0	(sqrt.f64 (*.f64 c (neg.f64 a)))
1.0ms	a	@	inf	(/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)
1.0ms	a	@	0	(sqrt.f64 (*.f64 c (neg.f64 a)))
0.0ms	b_2	@	0	(/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)

rewrite67.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1630×	`associate-/l*`
1408×	`associate-*r/`
1162×	`*-commutative`
1004×	`associate-*l/`
254×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	42
1	240	34
2	3498	34

Stop Event

1×	node limit

Counts

2 → 71

Calls

Call 1

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

Outputs

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

simplify104.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1780×	`associate-+r+`
1378×	`associate-+l+`
716×	`associate-/l*`
700×	`associate-*r/`
530×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	152	2163
1	325	2115
2	1279	2103
3	6191	2103

Stop Event

1×	node limit

Counts

85 → 93

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

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

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.6b	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	1.6b	(exp.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)))
	1.8b	(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)
	24.3b	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

Compiler

Compiled 76 to 11 computations (85.5% saved)

series2.0ms (0%)

Counts

1 → 20

Calls

9 calls:

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

rewrite89.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1834×	`associate-*l/`
1414×	`associate-/r*`
692×	`associate-+l+`
314×	`add-sqr-sqrt`
308×	`*-un-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	35
1	303	35
2	4301	35

Stop Event

1×	node limit

Counts

1 → 144

Calls

Call 1

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

simplify168.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1072×	`associate-/l*`
730×	`times-frac`
658×	`distribute-lft-neg-in`
562×	`associate-/r*`
528×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	488	9832
1	1401	9584
2	6591	9398

Stop Event

1×	node limit

Counts

164 → 241

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

eval679.0ms (5.3%)

Compiler: Compiled 49106 to 18048 computations (63.2% saved)

prune630.0ms (4.9%)

Pruning

38 alts after pruning (35 fresh and 3 done)

	Pruned	Kept	Total
New	1686	26	1712
Fresh	7	9	16
Picked	1	0	1
Done	2	3	5
Total	1696	38	1734

Error

5.6b

Counts

1734 → 38

Alt Table

Click to see full alt table

Status	Error	Program
	54.1b	(pow.f64 (pow.f64 (*.f64 -1/2 (/.f64 c b_2)) 3) 1/3)
	39.8b	(pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b_2))) 3)
	37.8b	(/.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a) (.f64 a b_2)) a) a)
✓	46.0b	(/.f64 (/.f64 (.f64 (.f64 c -1/2) a) b_2) a)
	35.3b	(/.f64 (/.f64 (neg.f64 (-.f64 (.f64 b_2 (-.f64 b_2 b_2)) (.f64 c a))) a) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))))
	34.1b	(/.f64 (/.f64 1 a) (/.f64 1 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)))
	56.9b	(/.f64 (-.f64 (+.f64 b_2 (/.f64 (.f64 (.f64 c -1/2) a) b_2)) b_2) a)
▶	37.4b	(/.f64 (-.f64 (.f64 b_2 (-.f64 b_2 b_2)) (.f64 c a)) (.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))))))
✓	34.0b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
✓	45.3b	(/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)
	50.1b	(/.f64 (-.f64 (sqrt.f64 (*.f64 b_2 b_2)) b_2) a)
	36.8b	(/.f64 (-.f64 (exp.f64 (.f64 (log.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) 1/2)) b_2) a)
	56.7b	(/.f64 (-.f64 b_2 b_2) a)
	46.2b	(/.f64 (+.f64 (.f64 -2 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2))) a)
	46.7b	(/.f64 (*.f64 (/.f64 c (/.f64 b_2 a)) -1/2) a)
	43.9b	(/.f64 (.f64 (/.f64 1 (/.f64 b_2 (.f64 c -1/2))) a) a)
	46.0b	(/.f64 (.f64 (/.f64 1 b_2) (.f64 c (*.f64 -1/2 a))) a)
	44.3b	(/.f64 (.f64 (/.f64 1 a) (.f64 (*.f64 c a) 1/2)) (neg.f64 b_2))
▶	46.5b	(/.f64 (.f64 c (.f64 (/.f64 -1/2 b_2) a)) a)
	45.1b	(/.f64 (*.f64 b_2 -2) a)
	44.5b	(/.f64 (.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2)) (.f64 a a))
	39.3b	(/.f64 (*.f64 -1/2 c) b_2)
▶	59.4b	(/.f64 (neg.f64 b_2) a)
	48.0b	(/.f64 (expm1.f64 (log1p.f64 (.f64 (/.f64 a b_2) (.f64 c -1/2)))) a)
▶	34.1b	(/.f64 1 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)))
	39.8b	(/.f64 -1/2 (/.f64 b_2 c))
	45.2b	(/.f64 -2 (/.f64 a b_2))
	52.3b	(-.f64 (+.f64 1 (*.f64 -1/2 (/.f64 c b_2))) 1)
	45.3b	(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
	45.8b	(.f64 (/.f64 (.f64 (*.f64 c -1/2) (/.f64 1 a)) (sqrt.f64 b_2)) (/.f64 a (sqrt.f64 b_2)))
	43.4b	(.f64 (/.f64 a (.f64 a b_2)) (*.f64 c -1/2))
▶	44.3b	(.f64 (/.f64 1 (/.f64 a (.f64 c (*.f64 -1/2 a)))) (/.f64 1 b_2))
	46.2b	(.f64 (/.f64 1 (.f64 a b_2)) (.f64 c (.f64 -1/2 a)))
	34.1b	(.f64 (/.f64 1 a) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2))
	46.5b	(.f64 (/.f64 1 a) (.f64 (/.f64 a b_2) (*.f64 c -1/2)))
	57.4b	(log.f64 (exp.f64 (.f64 (/.f64 c a) (/.f64 (.f64 -1/2 a) b_2))))
	42.0b	(expm1.f64 (log1p.f64 (*.f64 -1/2 (/.f64 c b_2))))
	54.5b	(exp.f64 (log.f64 (/.f64 (*.f64 b_2 -2) a)))

Compiler

Compiled 1021 to 693 computations (32.1% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)))
	0.6b	(-.f64 (.f64 b_2 b_2) (.f64 a c))
	1.8b	(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)
	24.3b	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

Compiler

Compiled 64 to 12 computations (81.3% saved)

series2.0ms (0%)

Counts

1 → 20

Calls

9 calls:

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

rewrite73.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1622×	`associate-/r*`
1050×	`associate-/l*`
682×	`associate-+l+`
328×	`add-sqr-sqrt`
318×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	41
1	311	35
2	4436	35

Stop Event

1×	node limit

Counts

1 → 44

Calls

Call 1

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

Outputs

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

simplify75.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1386×	`associate-/l*`
1346×	`associate-*r/`
986×	`associate-/r*`
914×	`associate-*l/`
794×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	223	3194
1	623	3142
2	2428	3058

Stop Event

1×	node limit

Counts

64 → 105

Calls

Call 1

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

localize4.0ms (0%)

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

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (/.f64 -1/2 b_2) a)
✓	4.6b	(.f64 c (.f64 (/.f64 -1/2 b_2) a))
✓	9.5b	(/.f64 (.f64 c (.f64 (/.f64 -1/2 b_2) a)) a)

Compiler

Compiled 31 to 18 computations (41.9% saved)

series3.0ms (0%)

Counts

3 → 96

Calls

24 calls:

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

rewrite72.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

928×	`unswap-sqr`
848×	`swap-sqr`
580×	`associate-/r/`
400×	`distribute-lft-neg-in`
386×	`sqr-pow`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	57
1	217	57
2	2974	45

Stop Event

1×	node limit

Counts

3 → 134

Calls

Call 1

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

Outputs

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

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

simplify82.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

554×	`associate-r`
530×	`distribute-lft-neg-in`
524×	`associate-l`
512×	`distribute-rgt-neg-in`
506×	`cube-prod`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	324	4086
1	846	4002
2	3983	4002

Stop Event

1×	node limit

Counts

230 → 167

Calls

Call 1

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

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

localize17.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (/.f64 a (.f64 c (.f64 -1/2 a))))
✓	0.2b	(.f64 (/.f64 1 (/.f64 a (.f64 c (*.f64 -1/2 a)))) (/.f64 1 b_2))
✓	15.2b	(/.f64 a (.f64 c (.f64 -1/2 a)))

Compiler

Compiled 48 to 31 computations (35.4% saved)

series3.0ms (0%)

Counts

3 → 84

Calls

21 calls:

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

rewrite94.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1238×	`associate-/r/`
1030×	`swap-sqr`
966×	`associate-/l/`
522×	`distribute-lft-neg-in`
474×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	75
1	279	63
2	3767	63

Stop Event

1×	node limit

Counts

3 → 212

Calls

Call 1

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

Outputs

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

simplify106.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1590×	`distribute-lft-in`
780×	`associate-/r*`
758×	`associate-/l*`
738×	`associate-*r/`
708×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	503	3762
1	1405	3430
2	6573	3430

Stop Event

1×	node limit

Counts

296 → 274

Calls

Call 1

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

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

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(-.f64 (.f64 b_2 b_2) (.f64 c a))
✓	1.1b	(+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))
✓	16.9b	(/.f64 (-.f64 (.f64 b_2 (-.f64 b_2 b_2)) (.f64 c a)) (.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))))))
✓	24.3b	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))

Compiler

Compiled 88 to 13 computations (85.2% saved)

series19.0ms (0.1%)

Counts

4 → 96

Calls

36 calls:

Time	Variable		Point	Expression
7.0ms	c	@	inf	(/.f64 (-.f64 (.f64 b_2 (-.f64 b_2 b_2)) (.f64 c a)) (.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))))))
2.0ms	a	@	inf	(/.f64 (-.f64 (.f64 b_2 (-.f64 b_2 b_2)) (.f64 c a)) (.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))))))
2.0ms	c	@	-inf	(/.f64 (-.f64 (.f64 b_2 (-.f64 b_2 b_2)) (.f64 c a)) (.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))))))
1.0ms	b_2	@	0	(/.f64 (-.f64 (.f64 b_2 (-.f64 b_2 b_2)) (.f64 c a)) (.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))))))
1.0ms	a	@	-inf	(/.f64 (-.f64 (.f64 b_2 (-.f64 b_2 b_2)) (.f64 c a)) (.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))))))

rewrite114.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

768×	`associate-+l+`
410×	`+-commutative`
408×	`associate-+r+`
404×	`add-sqr-sqrt`
398×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	130
1	383	110
2	6165	110

Stop Event

1×	node limit

Counts

4 → 225

Calls

Call 1

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

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

simplify107.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

284×	`+-commutative`
244×	`*-commutative`
152×	`associate-+r+`
140×	`fma-def`
124×	`sqr-pow`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	657	15769
1	1836	15769

Stop Event

1×

unsound

Counts

321 → 374

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

eval438.0ms (3.4%)

Compiler: Compiled 37444 to 14883 computations (60.3% saved)

prune628.0ms (4.9%)

Pruning

55 alts after pruning (49 fresh and 6 done)

	Pruned	Kept	Total
New	1379	28	1407
Fresh	9	21	30
Picked	1	0	1
Done	1	6	7
Total	1390	55	1445

Error

5.6b

Counts

1445 → 55

Alt Table

Click to see full alt table

Status	Error	Program
	54.1b	(pow.f64 (pow.f64 (/.f64 c (*.f64 b_2 -2)) 3) 1/3)
	39.8b	(pow.f64 (cbrt.f64 (/.f64 c (*.f64 b_2 -2))) 3)
	37.8b	(/.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a) (.f64 a b_2)) a) a)
✓	46.0b	(/.f64 (/.f64 (.f64 (.f64 c -1/2) a) b_2) a)
	46.1b	(/.f64 (/.f64 1 a) (/.f64 b_2 (.f64 a (.f64 c -1/2))))
	34.1b	(/.f64 (/.f64 1 a) (/.f64 1 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)))
	56.9b	(/.f64 (-.f64 (+.f64 b_2 (/.f64 (.f64 (.f64 c -1/2) a) b_2)) b_2) a)
	45.8b	(/.f64 (-.f64 (.f64 b_2 (-.f64 b_2 b_2)) (.f64 c a)) (.f64 a (+.f64 (.f64 2 b_2) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))))
	45.8b	(/.f64 (-.f64 (.f64 b_2 (-.f64 b_2 b_2)) (.f64 c a)) (.f64 a (+.f64 b_2 (+.f64 b_2 (.f64 -1/2 (/.f64 c (/.f64 b_2 a)))))))
	43.8b	(/.f64 (-.f64 (.f64 b_2 (-.f64 b_2 b_2)) (.f64 c a)) (.f64 a (+.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a))))))
	52.3b	(/.f64 (-.f64 (.f64 b_2 (-.f64 b_2 b_2)) (.f64 c a)) (.f64 a (.f64 1/2 (/.f64 (*.f64 c a) b_2))))
✓	34.0b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
✓	45.3b	(/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)
▶	50.1b	(/.f64 (-.f64 (sqrt.f64 (*.f64 b_2 b_2)) b_2) a)
	36.8b	(/.f64 (-.f64 (exp.f64 (.f64 (log.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) 1/2)) b_2) a)
	56.7b	(/.f64 (-.f64 b_2 b_2) a)
	46.2b	(/.f64 (+.f64 (.f64 -2 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2))) a)
	46.7b	(/.f64 (*.f64 (/.f64 c (/.f64 b_2 a)) -1/2) a)
	43.9b	(/.f64 (.f64 (/.f64 1 (/.f64 b_2 (.f64 c -1/2))) a) a)
	44.3b	(/.f64 (.f64 (/.f64 1 a) (.f64 (*.f64 c a) 1/2)) (neg.f64 b_2))
	56.6b	(/.f64 (.f64 c (pow.f64 (pow.f64 (.f64 -1/2 (/.f64 a b_2)) 3) 1/3)) a)
✓	46.5b	(/.f64 (.f64 c (.f64 (/.f64 -1/2 b_2) a)) a)
	45.1b	(/.f64 (*.f64 b_2 -2) a)
	44.5b	(/.f64 (.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2)) (.f64 a a))
	46.2b	(/.f64 (.f64 a (.f64 c -1/2)) (*.f64 b_2 a))
	39.3b	(/.f64 (*.f64 -1/2 c) b_2)
✓	59.4b	(/.f64 (neg.f64 b_2) a)
	48.0b	(/.f64 (expm1.f64 (log1p.f64 (.f64 (/.f64 a b_2) (.f64 c -1/2)))) a)
	48.9b	(/.f64 (cbrt.f64 (pow.f64 b_2 -2)) (*.f64 (/.f64 -2 c) (cbrt.f64 b_2)))
	40.1b	(/.f64 c (.f64 (.f64 (sqrt.f64 b_2) (sqrt.f64 b_2)) -2))
	46.3b	(/.f64 1 (/.f64 a (/.f64 (.f64 (.f64 c -1/2) a) b_2)))
✓	34.1b	(/.f64 1 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)))
	45.3b	(/.f64 1 (/.f64 a (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2)))
	46.3b	(/.f64 1 (/.f64 a (+.f64 (.f64 -2 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))))
	39.8b	(/.f64 -1/2 (/.f64 b_2 c))
	45.2b	(/.f64 -2 (/.f64 a b_2))
	52.3b	(-.f64 (+.f64 1 (*.f64 -1/2 (/.f64 c b_2))) 1)
▶	45.3b	(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
	43.8b	(.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 c a) (*.f64 a -1/2))) 3) (/.f64 1 b_2))
	44.9b	(.f64 (/.f64 c (/.f64 a (pow.f64 (cbrt.f64 (.f64 -1/2 (/.f64 a b_2))) 2))) (cbrt.f64 (*.f64 -1/2 (/.f64 a b_2))))
▶	40.2b	(*.f64 (/.f64 c (sqrt.f64 b_2)) (/.f64 -1/2 (sqrt.f64 b_2)))
	42.1b	(.f64 (/.f64 a (pow.f64 (cbrt.f64 a) 2)) (/.f64 (/.f64 c (cbrt.f64 a)) (.f64 b_2 -2)))
	43.4b	(.f64 (/.f64 a (.f64 a b_2)) (*.f64 c -1/2))
	39.4b	(*.f64 (/.f64 1 (/.f64 -2 c)) (/.f64 1 b_2))
	35.9b	(.f64 (/.f64 1 a) (/.f64 (.f64 c (neg.f64 a)) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))))
▶	34.1b	(.f64 (/.f64 1 a) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2))
	43.6b	(.f64 (/.f64 1 a) (.f64 a (/.f64 c (*.f64 b_2 -2))))
▶	39.4b	(*.f64 (/.f64 -1/2 b_2) c)
	43.7b	(.f64 (.f64 (/.f64 (/.f64 1 a) (/.f64 1 (*.f64 c -1/2))) a) (/.f64 1 b_2))
	39.7b	(.f64 (.f64 c (pow.f64 (cbrt.f64 (/.f64 -1/2 b_2)) 2)) (cbrt.f64 (/.f64 -1/2 b_2)))
	37.6b	(.f64 (.f64 c a) (/.f64 1 (.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)))) (neg.f64 a))))
	55.1b	(.f64 (exp.f64 (log.f64 (.f64 (/.f64 c a) (*.f64 a -1/2)))) (/.f64 1 b_2))
	56.6b	(log.f64 (exp.f64 (/.f64 c (*.f64 b_2 -2))))
	42.0b	(expm1.f64 (log1p.f64 (/.f64 c (*.f64 b_2 -2))))
	54.5b	(exp.f64 (log.f64 (/.f64 (*.f64 b_2 -2) a)))

Compiler

Compiled 1535 to 1055 computations (31.3% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (/.f64 1 a) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2))
	0.6b	(-.f64 (.f64 b_2 b_2) (.f64 a c))
	1.8b	(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)
	24.3b	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

Compiler

Compiled 55 to 14 computations (74.5% saved)

series2.0ms (0%)

Counts

1 → 20

Calls

9 calls:

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

rewrite91.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 130

Calls

Call 1

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

Outputs

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simplify119.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

150 → 195

Calls

Call 1

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

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

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 9 computations (35.7% saved)

series0.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite49.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

Outputs

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

simplify48.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

46 → 23

Calls

Call 1

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

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

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 35 to 16 computations (54.3% saved)

series3.0ms (0%)

Counts

2 → 9

Calls

15 calls:

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

rewrite79.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1278×	`associate-/l*`
900×	`swap-sqr`
530×	`distribute-rgt-in`
500×	`distribute-lft-in`
456×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	40
1	267	40
2	3639	40

Stop Event

1×	node limit

Counts

2 → 90

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (/.f64 c b_2)))) (-.f64 1 (*.f64 -2 (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 (/.f64 c b_2) (*.f64 -2 (/.f64 b_2 a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -2 (/.f64 b_2 a)))) (-.f64 1 (*.f64 1/2 (/.f64 c b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 4 (pow.f64 (/.f64 b_2 a) 2)) (fma.f64 -2 (/.f64 b_2 a) (/.f64 (*.f64 c -1/2) b_2))) (/.f64 (pow.f64 (/.f64 c b_2) 2) (/.f64 (fma.f64 -2 (/.f64 b_2 a) (/.f64 (*.f64 c -1/2) b_2)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 1/2 (/.f64 c b_2)) (exp.f64 (log1p.f64 (*.f64 -2 (/.f64 b_2 a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 -2 (/.f64 b_2 a)) (exp.f64 (log1p.f64 (*.f64 1/2 (/.f64 c b_2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/2 (/.f64 c b_2) (*.f64 -2 (/.f64 b_2 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/2 (/.f64 c b_2) (*.f64 -2 (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/2 (/.f64 c b_2) (*.f64 -2 (/.f64 b_2 a)))) (sqrt.f64 (fma.f64 1/2 (/.f64 c b_2) (*.f64 -2 (/.f64 b_2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 c b_2) (*.f64 -2 (/.f64 b_2 a)))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 c b_2) (*.f64 -2 (/.f64 b_2 a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 c b_2) (*.f64 -2 (/.f64 b_2 a)))) 2) (cbrt.f64 (fma.f64 1/2 (/.f64 c b_2) (*.f64 -2 (/.f64 b_2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 4 (pow.f64 (/.f64 b_2 a) 2)) (pow.f64 (*.f64 1/2 (/.f64 c b_2)) 2)) (/.f64 1 (fma.f64 -2 (/.f64 b_2 a) (/.f64 (*.f64 c -1/2) b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 -2 (/.f64 b_2 a)) 3) (*.f64 (pow.f64 (/.f64 c b_2) 3) 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simplify79.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1134×	`associate-/r*`
726×	`associate-/r/`
714×	`associate-/l/`
538×	`distribute-lft-neg-in`
486×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	277	5141
1	804	4809
2	3789	4761

Stop Event

1×	node limit

Counts

99 → 159

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	29.2b	(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))

rewrite47.0ms (0.4%)

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))))))

simplify57.0ms (0.4%)

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

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 25 to 11 computations (56% saved)

series12.0ms (0.1%)

Counts

3 → 36

Calls

15 calls:

Time	Variable		Point	Expression
7.0ms	c	@	-inf	(/.f64 c (sqrt.f64 b_2))
1.0ms	b_2	@	-inf	(*.f64 (/.f64 c (sqrt.f64 b_2)) (/.f64 -1/2 (sqrt.f64 b_2)))
1.0ms	c	@	0	(/.f64 c (sqrt.f64 b_2))
1.0ms	b_2	@	-inf	(/.f64 -1/2 (sqrt.f64 b_2))
0.0ms	b_2	@	-inf	(/.f64 c (sqrt.f64 b_2))

rewrite81.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1460×	`associate-/r*`
1122×	`associate-/l*`
1014×	`*-commutative`
722×	`unswap-sqr`
622×	`swap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	35
1	212	35
2	2736	35

Stop Event

1×	node limit

Counts

3 → 238

Calls

Call 1

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

Outputs

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

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

simplify110.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1338×	`associate-/l*`
1132×	`distribute-lft-in`
938×	`associate-/l/`
744×	`times-frac`
710×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	564	6382
1	1485	6098
2	7382	6098

Stop Event

1×	node limit

Counts

274 → 331

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

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

eval438.0ms (3.4%)

Compiler: Compiled 31258 to 12749 computations (59.2% saved)

prune608.0ms (4.7%)

Pruning

70 alts after pruning (61 fresh and 9 done)

	Pruned	Kept	Total
New	1223	20	1243
Fresh	3	41	44
Picked	0	1	1
Done	2	8	10
Total	1228	70	1298

Error

5.6b

Counts

1298 → 70

Alt Table

Click to see full alt table

Status	Error	Program
	54.1b	(pow.f64 (pow.f64 (/.f64 c (*.f64 b_2 -2)) 3) 1/3)
	39.8b	(pow.f64 (cbrt.f64 (/.f64 c (*.f64 b_2 -2))) 3)
	37.8b	(/.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a) (.f64 a b_2)) a) a)
✓	46.0b	(/.f64 (/.f64 (.f64 (.f64 c -1/2) a) b_2) a)
	39.3b	(/.f64 (/.f64 c -2) b_2)
	46.1b	(/.f64 (/.f64 1 a) (/.f64 b_2 (.f64 a (.f64 c -1/2))))
	34.1b	(/.f64 (/.f64 1 a) (/.f64 1 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)))
	39.4b	(/.f64 (/.f64 -1/2 b_2) (/.f64 1 c))
	63.0b	(/.f64 (-.f64 (pow.f64 (pow.f64 b_2 3) 1/3) b_2) a)
	56.9b	(/.f64 (-.f64 (+.f64 b_2 (/.f64 (.f64 (.f64 c -1/2) a) b_2)) b_2) a)
	45.8b	(/.f64 (-.f64 (.f64 b_2 (-.f64 b_2 b_2)) (.f64 c a)) (.f64 a (+.f64 (.f64 2 b_2) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))))
	45.8b	(/.f64 (-.f64 (.f64 b_2 (-.f64 b_2 b_2)) (.f64 c a)) (.f64 a (+.f64 b_2 (+.f64 b_2 (.f64 -1/2 (/.f64 c (/.f64 b_2 a)))))))
	43.8b	(/.f64 (-.f64 (.f64 b_2 (-.f64 b_2 b_2)) (.f64 c a)) (.f64 a (+.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a))))))
	52.3b	(/.f64 (-.f64 (.f64 b_2 (-.f64 b_2 b_2)) (.f64 c a)) (.f64 a (.f64 1/2 (/.f64 (*.f64 c a) b_2))))
✓	34.0b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
✓	45.3b	(/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)
✓	50.1b	(/.f64 (-.f64 (sqrt.f64 (*.f64 b_2 b_2)) b_2) a)
	36.8b	(/.f64 (-.f64 (exp.f64 (.f64 (log.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) 1/2)) b_2) a)
	63.1b	(/.f64 (-.f64 (exp.f64 (log.f64 b_2)) b_2) a)
	56.7b	(/.f64 (-.f64 b_2 b_2) a)
	53.3b	(/.f64 (+.f64 (.f64 (.f64 b_2 -2) b_2) (.f64 a (.f64 1/2 c))) (*.f64 a b_2))
	46.2b	(/.f64 (+.f64 (.f64 -2 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2))) a)
	46.7b	(/.f64 (*.f64 (/.f64 c (/.f64 b_2 a)) -1/2) a)
	43.9b	(/.f64 (.f64 (/.f64 1 (/.f64 b_2 (.f64 c -1/2))) a) a)
	44.3b	(/.f64 (.f64 (/.f64 1 a) (.f64 (*.f64 c a) 1/2)) (neg.f64 b_2))
	54.3b	(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 -2 (/.f64 b_2 a)) 3) (.f64 (pow.f64 (/.f64 c b_2) 3) 1/8))) (cbrt.f64 (+.f64 (pow.f64 (.f64 -2 (/.f64 b_2 a)) 3) (.f64 (pow.f64 (/.f64 c b_2) 3) 1/8)))) (/.f64 (+.f64 (pow.f64 (.f64 1/2 (/.f64 c b_2)) 2) (.f64 (.f64 -2 (/.f64 b_2 a)) (fma.f64 -2 (/.f64 b_2 a) (/.f64 (.f64 c -1/2) b_2)))) (cbrt.f64 (+.f64 (pow.f64 (.f64 -2 (/.f64 b_2 a)) 3) (*.f64 (pow.f64 (/.f64 c b_2) 3) 1/8)))))
	56.6b	(/.f64 (.f64 c (pow.f64 (pow.f64 (.f64 -1/2 (/.f64 a b_2)) 3) 1/3)) a)
✓	46.5b	(/.f64 (.f64 c (.f64 (/.f64 -1/2 b_2) a)) a)
	45.1b	(/.f64 (*.f64 b_2 -2) a)
	44.5b	(/.f64 (.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2)) (.f64 a a))
	46.2b	(/.f64 (.f64 a (.f64 c -1/2)) (*.f64 b_2 a))
✓	59.4b	(/.f64 (neg.f64 b_2) a)
	48.0b	(/.f64 (expm1.f64 (log1p.f64 (.f64 (/.f64 a b_2) (.f64 c -1/2)))) a)
	48.9b	(/.f64 (cbrt.f64 (pow.f64 b_2 -2)) (*.f64 (/.f64 -2 c) (cbrt.f64 b_2)))
	40.1b	(/.f64 c (.f64 (.f64 (sqrt.f64 b_2) (sqrt.f64 b_2)) -2))
	46.3b	(/.f64 1 (/.f64 a (/.f64 (.f64 (.f64 c -1/2) a) b_2)))
✓	34.1b	(/.f64 1 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)))
	45.3b	(/.f64 1 (/.f64 a (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2)))
	39.8b	(/.f64 -1/2 (/.f64 b_2 c))
	45.2b	(/.f64 -2 (/.f64 a b_2))
	52.3b	(-.f64 (+.f64 1 (*.f64 -1/2 (/.f64 c b_2))) 1)
	45.3b	(+.f64 (.f64 -2 (/.f64 b_2 a)) (/.f64 (.f64 (cbrt.f64 (.f64 1/2 c)) (cbrt.f64 (.f64 1/2 c))) (/.f64 b_2 (cbrt.f64 (*.f64 1/2 c)))))
	45.3b	(+.f64 (.f64 -2 (/.f64 b_2 a)) (/.f64 (.f64 1/2 (pow.f64 (cbrt.f64 c) 2)) (/.f64 b_2 (cbrt.f64 c))))
	56.4b	(+.f64 (.f64 -2 (/.f64 b_2 a)) (/.f64 (sqrt.f64 (.f64 1/2 c)) (/.f64 b_2 (sqrt.f64 (*.f64 1/2 c)))))
	45.3b	(+.f64 (*.f64 -2 (/.f64 b_2 a)) (/.f64 1/2 (/.f64 b_2 c)))
	45.9b	(+.f64 (.f64 -2 (/.f64 b_2 a)) (cbrt.f64 (.f64 (pow.f64 (/.f64 c b_2) 3) 1/8)))
	43.8b	(.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 c a) (*.f64 a -1/2))) 3) (/.f64 1 b_2))
	44.9b	(.f64 (/.f64 c (/.f64 a (pow.f64 (cbrt.f64 (.f64 -1/2 (/.f64 a b_2))) 2))) (cbrt.f64 (*.f64 -1/2 (/.f64 a b_2))))
✓	40.2b	(*.f64 (/.f64 c (sqrt.f64 b_2)) (/.f64 -1/2 (sqrt.f64 b_2)))
	57.8b	(*.f64 (/.f64 c (sqrt.f64 b_2)) (-.f64 (exp.f64 (log1p.f64 (/.f64 -1/2 (sqrt.f64 b_2)))) 1))
	57.8b	(*.f64 (/.f64 c (sqrt.f64 b_2)) (log.f64 (exp.f64 (/.f64 -1/2 (sqrt.f64 b_2)))))
	45.9b	(*.f64 (/.f64 c (sqrt.f64 b_2)) (cbrt.f64 (pow.f64 (/.f64 -1/2 (sqrt.f64 b_2)) 3)))
	42.1b	(.f64 (/.f64 a (pow.f64 (cbrt.f64 a) 2)) (/.f64 (/.f64 c (cbrt.f64 a)) (.f64 b_2 -2)))
	43.4b	(.f64 (/.f64 a (.f64 a b_2)) (*.f64 c -1/2))
	39.4b	(*.f64 (/.f64 1 (/.f64 -2 c)) (/.f64 1 b_2))
	45.5b	(.f64 (/.f64 1 a) (fma.f64 -2 b_2 (/.f64 (.f64 c 1/2) (/.f64 b_2 a))))
	46.0b	(.f64 (/.f64 1 a) (/.f64 (.f64 (*.f64 c -1/2) a) b_2))
	35.9b	(.f64 (/.f64 1 a) (/.f64 (.f64 c (neg.f64 a)) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))))
	45.3b	(.f64 (/.f64 1 a) (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2))
	45.2b	(.f64 (/.f64 1 a) (.f64 b_2 -2))
✓	39.4b	(*.f64 (/.f64 -1/2 b_2) c)
	43.7b	(.f64 (.f64 (/.f64 (/.f64 1 a) (/.f64 1 (*.f64 c -1/2))) a) (/.f64 1 b_2))
	39.7b	(.f64 (.f64 c (pow.f64 (cbrt.f64 (/.f64 -1/2 b_2)) 2)) (cbrt.f64 (/.f64 -1/2 b_2)))
	37.6b	(.f64 (.f64 c a) (/.f64 1 (.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)))) (neg.f64 a))))
	43.9b	(*.f64 (expm1.f64 (log1p.f64 (/.f64 c (sqrt.f64 b_2)))) (/.f64 -1/2 (sqrt.f64 b_2)))
	55.1b	(.f64 (exp.f64 (log.f64 (.f64 (/.f64 c a) (*.f64 a -1/2)))) (/.f64 1 b_2))
	57.1b	(*.f64 1/2 (/.f64 c b_2))
	56.6b	(log.f64 (exp.f64 (/.f64 c (*.f64 b_2 -2))))
	42.0b	(expm1.f64 (log1p.f64 (/.f64 c (*.f64 b_2 -2))))
	54.5b	(exp.f64 (log.f64 (/.f64 (*.f64 b_2 -2) a)))

Compiler

Compiled 1088 to 755 computations (30.6% saved)

regimes1.2s (9.6%)

Counts

97 → 3

Calls

Call 1

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

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

Calls

4 calls:

535.0ms	c
215.0ms	b_2
188.0ms	a
141.0ms	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Results

Error	Segments	Branch
30.1b	3	`a`
9.0b	3	`b_2`
26.3b	8	`c`
12.4b	5	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`

Compiler

Compiled 1286 to 611 computations (52.5% saved)

bsearch89.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
30.0ms	2.036620385464376e-43	1.6825855528263662e-36
58.0ms	-7.72911479428206e+33	-1.145789242646535e+23

Results

36.0ms	41×	body	256	invalid
31.0ms	249×	body	256	valid
6.0ms	22×	body	1024	valid
6.0ms	16×	body	2048	valid
3.0ms	17×	body	512	valid
1.0ms	9×	body	256	infinite

Compiler

Compiled 557 to 378 computations (32.1% saved)

regimes531.0ms (4.1%)

Counts

44 → 3

Calls

Call 1

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

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

Calls

3 calls:

246.0ms	c
154.0ms	a
121.0ms	b_2

Results

Error	Segments	Branch
34.0b	6	`a`
11.4b	3	`b_2`
28.7b	11	`c`

Compiler

Compiled 460 to 245 computations (46.7% saved)

bsearch64.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
54.0ms	2.036620385464376e-43	1.6825855528263662e-36
10.0ms	-8.995884642060561e-70	-5.2832050302712764e-70

Results

40.0ms	151×	body	256	valid
6.0ms	24×	body	1024	valid
6.0ms	44×	body	256	invalid
5.0ms	13×	body	2048	valid
4.0ms	20×	body	512	valid

Compiler

Compiled 332 to 239 computations (28% saved)

regimes302.0ms (2.4%)

Counts

41 → 2

Calls

Call 1

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

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

Calls

3 calls:

117.0ms	a
111.0ms	c
65.0ms	b_2

Results

Error	Segments	Branch
35.3b	5	`a`
21.9b	2	`b_2`
34.0b	5	`c`

Compiler

Compiled 429 to 234 computations (45.5% saved)

bsearch28.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
28.0ms	3.271234072110813e-254	7.175397489524568e-248

Results

20.0ms	144×	body	256	valid
6.0ms	54×	body	256	invalid

Compiler

Compiled 184 to 141 computations (23.4% saved)

regimes70.0ms (0.5%)

Counts

7 → 2

Calls

Call 1

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

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

Calls

3 calls:

29.0ms	c
29.0ms	a
10.0ms	b_2

Results

Error	Segments	Branch
35.4b	5	`a`
21.9b	2	`b_2`
34.0b	5	`c`

Compiler

Compiled 49 to 31 computations (36.7% saved)

bsearch32.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
31.0ms	3.271234072110813e-254	7.175397489524568e-248

Results

17.0ms	144×	body	256	valid
12.0ms	43×	body	256	invalid

Compiler

Compiled 184 to 141 computations (23.4% saved)

regimes57.0ms (0.4%)

Counts

6 → 2

Calls

Call 1

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

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

Calls

3 calls:

26.0ms	a
21.0ms	c
9.0ms	b_2

Results

Error	Segments	Branch
35.4b	5	`a`
21.9b	2	`b_2`
34.0b	5	`c`

Compiler

Compiled 44 to 28 computations (36.4% saved)

bsearch23.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
23.0ms	3.271234072110813e-254	7.175397489524568e-248

Results

17.0ms	144×	body	256	valid
5.0ms	44×	body	256	invalid

Compiler

Compiled 184 to 141 computations (23.4% saved)

regimes18.0ms (0.1%)

Accuracy

Total -27.0b remaining (-74.7%)

Threshold costs -27.0b (-74.7%)

Counts

4 → 2

Calls

Call 1

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

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

Calls

3 calls:

7.0ms	b_2
5.0ms	a
5.0ms	c

Results

Error	Segments	Branch
39.3b	1	`a`
36.1b	2	`b_2`
39.3b	1	`c`

Compiler

Compiled 34 to 22 computations (35.3% saved)

bsearch25.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
25.0ms	3.271234072110813e-254	7.175397489524568e-248

Results

17.0ms	143×	body	256	valid
6.0ms	55×	body	256	invalid
0.0ms	1×	body	512	valid

Compiler

Compiled 175 to 132 computations (24.6% saved)

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

24×	`*-commutative`
18×	`+-commutative`
12×	`sub-neg`
10×	`neg-mul-1`
10×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	335
1	80	335
2	94	335
3	102	335
4	106	335
5	107	335

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 b_2 -7600000000000000047540357344264192) (+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2))) (if (<=.f64 b_2 2605242419472011/383123885216472214589586756787577295904684780545900544) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (/.f64 (*.f64 -1/2 c) b_2)))
(if (<=.f64 b_2 -315683694986681/485667223056432267729865476705879726660601709763034880312953102434726071301302124544) (+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2))) (if (<=.f64 b_2 6277101735386681/3138550867693340381917894711603833208051177722232017256448) (/.f64 (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2) a) (/.f64 (.f64 -1/2 c) b_2)))
(if (<=.f64 b_2 670686416480825/257956314031086546070478410603767874276780920916074961976543314954430616482775810290242800726395111276696481930301332362735521269288420672485614735577607215287298185546389201254263436365442598170421988724712494337962904439820098505292185985726092029535907510203973632) (/.f64 (.f64 b_2 -2) a) (/.f64 (.f64 -1/2 c) b_2))
(if (<=.f64 b_2 5038209258419659/503820925841965910293903145710484129446837736164208910110436162020372297817921504473130470168740451712297816270119789770967814979078946625948466280425014092358004268645291408699733274151255074551605446727954090503833797734023629893148800753371273495187319355867136) (/.f64 -2 (/.f64 a b_2)) (/.f64 (*.f64 -1/2 c) b_2))
(if (<=.f64 b_2 1612226962694291/503820925841965910293903145710484129446837736164208910110436162020372297817921504473130470168740451712297816270119789770967814979078946625948466280425014092358004268645291408699733274151255074551605446727954090503833797734023629893148800753371273495187319355867136) (/.f64 -2 (/.f64 a b_2)) (*.f64 -1/2 (/.f64 c b_2)))
(if (<=.f64 b_2 5613129393316443/66036816391958155794042473114564575814855915754515190265995088628334237819590607434302156985957148486834299374157141084860293444937835692156317372307867447113548335499875635521091439709553305131628029113526398550518503536593945217354799612345879559561192322612217249792) (/.f64 (neg.f64 b_2) a) (*.f64 -1/2 (/.f64 c b_2)))
(/.f64 (neg.f64 b_2) a)

Outputs
(if (<=.f64 b_2 -7600000000000000047540357344264192) (+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2))) (if (<=.f64 b_2 2605242419472011/383123885216472214589586756787577295904684780545900544) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (/.f64 (*.f64 -1/2 c) b_2)))
(if (<=.f64 b_2 -7600000000000000047540357344264192) (+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2))) (if (<=.f64 b_2 2605242419472011/383123885216472214589586756787577295904684780545900544) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (/.f64 (*.f64 c -1/2) b_2)))
(if (<=.f64 b_2 -315683694986681/485667223056432267729865476705879726660601709763034880312953102434726071301302124544) (+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2))) (if (<=.f64 b_2 6277101735386681/3138550867693340381917894711603833208051177722232017256448) (/.f64 (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2) a) (/.f64 (.f64 -1/2 c) b_2)))
(if (<=.f64 b_2 -315683694986681/485667223056432267729865476705879726660601709763034880312953102434726071301302124544) (+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2))) (if (<=.f64 b_2 6277101735386681/3138550867693340381917894711603833208051177722232017256448) (/.f64 (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2) a) (/.f64 (.f64 c -1/2) b_2)))
(if (<=.f64 b_2 -315683694986681/485667223056432267729865476705879726660601709763034880312953102434726071301302124544) (+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2))) (if (<=.f64 b_2 6277101735386681/3138550867693340381917894711603833208051177722232017256448) (/.f64 (-.f64 (sqrt.f64 (.f64 a (neg.f64 c))) b_2) a) (/.f64 (.f64 c -1/2) b_2)))
(if (<=.f64 b_2 670686416480825/257956314031086546070478410603767874276780920916074961976543314954430616482775810290242800726395111276696481930301332362735521269288420672485614735577607215287298185546389201254263436365442598170421988724712494337962904439820098505292185985726092029535907510203973632) (/.f64 (.f64 b_2 -2) a) (/.f64 (.f64 -1/2 c) b_2))
(if (<=.f64 b_2 670686416480825/257956314031086546070478410603767874276780920916074961976543314954430616482775810290242800726395111276696481930301332362735521269288420672485614735577607215287298185546389201254263436365442598170421988724712494337962904439820098505292185985726092029535907510203973632) (/.f64 (.f64 b_2 -2) a) (/.f64 (.f64 c -1/2) b_2))
(if (<=.f64 b_2 5038209258419659/503820925841965910293903145710484129446837736164208910110436162020372297817921504473130470168740451712297816270119789770967814979078946625948466280425014092358004268645291408699733274151255074551605446727954090503833797734023629893148800753371273495187319355867136) (/.f64 -2 (/.f64 a b_2)) (/.f64 (*.f64 -1/2 c) b_2))
(if (<=.f64 b_2 5038209258419659/503820925841965910293903145710484129446837736164208910110436162020372297817921504473130470168740451712297816270119789770967814979078946625948466280425014092358004268645291408699733274151255074551605446727954090503833797734023629893148800753371273495187319355867136) (/.f64 -2 (/.f64 a b_2)) (/.f64 (*.f64 c -1/2) b_2))
(if (<=.f64 b_2 1612226962694291/503820925841965910293903145710484129446837736164208910110436162020372297817921504473130470168740451712297816270119789770967814979078946625948466280425014092358004268645291408699733274151255074551605446727954090503833797734023629893148800753371273495187319355867136) (/.f64 -2 (/.f64 a b_2)) (*.f64 -1/2 (/.f64 c b_2)))
(if (<=.f64 b_2 1612226962694291/503820925841965910293903145710484129446837736164208910110436162020372297817921504473130470168740451712297816270119789770967814979078946625948466280425014092358004268645291408699733274151255074551605446727954090503833797734023629893148800753371273495187319355867136) (/.f64 -2 (/.f64 a b_2)) (*.f64 (/.f64 c b_2) -1/2))
(if (<=.f64 b_2 5613129393316443/66036816391958155794042473114564575814855915754515190265995088628334237819590607434302156985957148486834299374157141084860293444937835692156317372307867447113548335499875635521091439709553305131628029113526398550518503536593945217354799612345879559561192322612217249792) (/.f64 (neg.f64 b_2) a) (*.f64 -1/2 (/.f64 c b_2)))
(if (<=.f64 b_2 5613129393316443/66036816391958155794042473114564575814855915754515190265995088628334237819590607434302156985957148486834299374157141084860293444937835692156317372307867447113548335499875635521091439709553305131628029113526398550518503536593945217354799612345879559561192322612217249792) (/.f64 (neg.f64 b_2) a) (*.f64 (/.f64 c b_2) -1/2))
(/.f64 (neg.f64 b_2) a)

Compiler

Compiled 149 to 101 computations (32.2% saved)

soundness1.1s (8.7%)

Algorithm

3×	egg-herbie

Rules

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

Stop Event

1×	saturated
1×	saturated
1×	saturated

Compiler

Compiled 123 to 42 computations (65.9% saved)

end77.0ms (0.6%)

Compiler: Compiled 131 to 76 computations (42% saved)