Details

analyze284.0ms (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 (11.5%)

Results

609.0ms	5546×	body	256	valid
384.0ms	1131×	body	2048	valid
196.0ms	754×	body	1024	valid
185.0ms	437×	body	4096	valid
161.0ms	1205×	body	256	invalid
76.0ms	388×	body	512	valid
42.0ms	390×	body	256	infinite

Bogosity

preprocess105.0ms (0.7%)

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)

simplify162.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

34.2b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	34.2b	(/.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)
✓	0.4b	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	0.6b	(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)
✓	23.9b	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

Compiler

Compiled 49 to 9 computations (81.6% saved)

series37.0ms (0.3%)

Counts

4 → 96

Calls

36 calls:

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

rewrite147.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 310

Calls

Call 1

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

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

simplify244.0ms (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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(fma.f64 1 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (fma.f64 (neg.f64 c) a (*.f64 a c)))
(-.f64 (fma.f64 b_2 b_2 (fma.f64 (neg.f64 c) a (.f64 c a))) (.f64 c a))
(-.f64 (fma.f64 b_2 b_2 (.f64 0 (.f64 c a))) (*.f64 c a))
(fma.f64 (cbrt.f64 (pow.f64 b_2 4)) (pow.f64 (cbrt.f64 b_2) 2) (*.f64 a (neg.f64 c)))
(fma.f64 (cbrt.f64 (pow.f64 b_2 4)) (pow.f64 (cbrt.f64 b_2) 2) (*.f64 c (neg.f64 a)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 2) (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (fma.f64 (neg.f64 c) a (*.f64 a c)))
(-.f64 (fma.f64 b_2 b_2 (fma.f64 (neg.f64 c) a (.f64 c a))) (.f64 c a))
(-.f64 (fma.f64 b_2 b_2 (.f64 0 (.f64 c a))) (*.f64 c a))
(+.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a) (neg.f64 (/.f64 b_2 a)))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(+.f64 (neg.f64 (/.f64 b_2 a)) (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(-.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a) (/.f64 b_2 a))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a))) 1)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2) (/.f64 1 a))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2) a) 1)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(.f64 1 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2) a))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(.f64 (sqrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) (.f64 (sqrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) (/.f64 1 a)))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(.f64 (sqrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)) (sqrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2) a)))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) 2) (.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) (/.f64 1 a)))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2) a)) 2))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)) 2) (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2) a)))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(.f64 (/.f64 1 a) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(.f64 (neg.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2)) (/.f64 -1 a))
(.f64 (neg.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))) b_2)) (/.f64 -1 a))
(/.f64 (neg.f64 (neg.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2))) a)
(.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2) (sqrt.f64 a)))
(.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))) b_2) (sqrt.f64 a)))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) (sqrt.f64 a)) (sqrt.f64 a))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2) (cbrt.f64 a)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))) b_2) (cbrt.f64 a)))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
(.f64 (/.f64 (sqrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) 1) (/.f64 (sqrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2)) a))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(.f64 (/.f64 (sqrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (sqrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2)) (cbrt.f64 a)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))) b_2) (cbrt.f64 a)))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) 2) 1) (/.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2)) a))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) 2) (sqrt.f64 a)) (/.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2)) (sqrt.f64 a)))
(.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))) b_2) (sqrt.f64 a)))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) (sqrt.f64 a)) (sqrt.f64 a))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) 2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2) a)))
(.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))) b_2)) 2) (pow.f64 (cbrt.f64 a) 2)))
(pow.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) 1)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)) 2)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)) 3)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(pow.f64 (pow.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) 3) 1/3)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) -1)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(neg.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) (neg.f64 a)))
(/.f64 (neg.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2)) (neg.f64 a))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) 2))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a))))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) 3))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(exp.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(exp.f64 (.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2) a)) 1))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)

eval196.0ms (1.4%)

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

prune164.0ms (1.1%)

Pruning

20 alts after pruning (19 fresh and 1 done)

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

Error

7.9b

Counts

567 → 20

Alt Table

Click to see full alt table

Status	Error	Program
▶	34.2b	(pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) -1)
	47.9b	(pow.f64 (sqrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)) 2)
	34.7b	(pow.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)) 3)
	45.4b	(/.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)
	46.6b	(/.f64 (/.f64 (.f64 (.f64 c -1/2) a) b_2) a)
	45.5b	(/.f64 (/.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (.f64 c a)))) (/.f64 (cbrt.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2)) 2))) a)
	35.3b	(/.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 2) b_2) a)
	56.9b	(/.f64 (-.f64 (+.f64 b_2 (/.f64 (.f64 (.f64 c -1/2) a) b_2)) b_2) a)
✓	34.2b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
▶	34.2b	(/.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)
▶	45.8b	(/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)
	56.8b	(/.f64 (-.f64 b_2 b_2) a)
	44.4b	(/.f64 (*.f64 b_2 -2) a)
▶	47.0b	(/.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) a)
	41.8b	(/.f64 -1/2 (/.f64 b_2 c))
	34.7b	(-.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a) (/.f64 b_2 a))
	44.5b	(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
	34.5b	(.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))
	34.2b	(.f64 (/.f64 1 a) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2))
▶	41.6b	(*.f64 -1/2 (/.f64 c b_2))

Compiler

Compiled 675 to 401 computations (40.6% saved)

localize29.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(-.f64 (.f64 b_2 b_2) (.f64 c a))
✓	0.6b	(-.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)
✓	23.9b	(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))))))
✓	53.2b	(fma.f64 (neg.f64 c) a (*.f64 c a))

Compiler

Compiled 134 to 41 computations (69.4% saved)

series18.0ms (0.1%)

Counts

4 → 100

Calls

33 calls:

Time	Variable		Point	Expression
4.0ms	c	@	inf	(fma.f64 (neg.f64 c) a (*.f64 c a))
2.0ms	c	@	-inf	(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))))))
1.0ms	a	@	-inf	(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))))))
1.0ms	b_2	@	0	(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))))))
1.0ms	c	@	inf	(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))))))

rewrite118.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1244×	`associate-+l+`
458×	`associate-+l-`
436×	`+-commutative`
420×	`add-sqr-sqrt`
408×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	150
1	398	112
2	5705	112

Stop Event

1×	node limit

Counts

4 → 203

Calls

Call 1

Inputs
(fma.f64 (neg.f64 c) a (*.f64 c a))
(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))))))
(-.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)
(-.f64 (.f64 b_2 b_2) (.f64 c a))

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

simplify130.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1394×	`fma-def`
742×	`associate-+r+`
654×	`associate-+l+`
636×	`associate-r`
636×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	598	3991
1	1695	3991

Stop Event

1×	node limit

Counts

303 → 249

Calls

Call 1

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

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

localize22.0ms (0.2%)

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)

series4.0ms (0%)

Counts

1 → 0

Calls

6 calls:

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

rewrite51.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

Inputs
(*.f64 -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))))))))

simplify43.0ms (0.3%)

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))

localize48.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	4.2b	(/.f64 c (/.f64 b_2 a))
✓	11.5b	(/.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) a)

Compiler

Compiled 31 to 11 computations (64.5% saved)

series4.0ms (0%)

Counts

2 → 72

Calls

18 calls:

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

rewrite76.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 149

Calls

Call 1

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

Outputs

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

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

simplify138.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1084×	`distribute-rgt-in`
1082×	`distribute-lft-in`
740×	`distribute-lft-neg-in`
666×	`distribute-rgt-neg-in`
602×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	371	4461
1	1067	4345
2	4681	4341

Stop Event

1×	node limit

Counts

221 → 196

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2)
✓	0.1b	(/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)
✓	14.8b	(sqrt.f64 (*.f64 c (neg.f64 a)))

Compiler

Compiled 33 to 8 computations (75.8% saved)

series10.0ms (0.1%)

Counts

3 → 28

Calls

24 calls:

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

rewrite83.0ms (0.6%)

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	63
1	240	51
2	3498	51

Stop Event

1×	node limit

Counts

3 → 161

Calls

Call 1

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

Outputs

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

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

simplify117.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1708×	`associate-/r*`
1180×	`associate-+r+`
862×	`associate-+l-`
798×	`+-commutative`
790×	`associate-+r-`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	366	7613
1	869	7399
2	4578	7399

Stop Event

1×	node limit

Counts

189 → 280

Calls

Call 1

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

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

localize18.0ms (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)
	0.4b	(-.f64 (.f64 b_2 b_2) (.f64 a c))
	0.6b	(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)
	23.9b	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

Compiler

Compiled 64 to 12 computations (81.3% saved)

series25.0ms (0.2%)

Counts

1 → 20

Calls

9 calls:

Time	Variable		Point	Expression
10.0ms	c	@	inf	(pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) -1)
4.0ms	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)
2.0ms	c	@	-inf	(pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) -1)

rewrite91.0ms (0.6%)

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

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

simplify110.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1216×	`associate-+r+`
1018×	`associate-r`
890×	`+-commutative`
732×	`associate-l`
710×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	489	7645
1	1531	7349
2	6926	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))
(+.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 (+.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))))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/4 (.f64 c (.f64 a (+.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)))))))))) (+.f64 (.f64 -1/16 (.f64 (pow.f64 c 3) (.f64 a (+.f64 (.f64 1/8 (.f64 c (pow.f64 a 2))) (.f64 -1/4 (.f64 c (pow.f64 a 2))))))) (.f64 -1/4 (.f64 (pow.f64 c 2) (+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 c 4) (pow.f64 a 4))) (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2)) (.f64 (pow.f64 c 2) a))) (+.f64 (.f64 1/16 (.f64 (pow.f64 c 2) (pow.f64 a 3))) (.f64 -1/4 (.f64 c (.f64 a (+.f64 (.f64 1/8 (.f64 c (pow.f64 a 2))) (.f64 -1/4 (.f64 c (pow.f64 a 2))))))))))))) (pow.f64 b_2 7))) (+.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)))))
(*.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 (.f64 1/2 (/.f64 c b_2)) (.f64 1/4 (/.f64 (.f64 (pow.f64 c 2) a) (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 -4 (/.f64 (+.f64 (.f64 -1/128 (.f64 (pow.f64 c 3) (pow.f64 a 4))) (.f64 -1/32 (.f64 (pow.f64 c 3) (pow.f64 a 4)))) (.f64 (pow.f64 a 2) (pow.f64 b_2 5)))) (+.f64 (.f64 -1/4 (/.f64 (.f64 c (.f64 a (+.f64 (.f64 1/4 (.f64 (pow.f64 c 2) a)) (.f64 -1/8 (.f64 (pow.f64 c 2) a))))) (pow.f64 b_2 5))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (+.f64 (.f64 1/2 (/.f64 c b_2)) (.f64 1/4 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3)))))))))
(*.f64 -1/2 (/.f64 c b_2))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(+.f64 (.f64 -1 (.f64 (pow.f64 c 3) (+.f64 (.f64 -1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (pow.f64 a 2) (pow.f64 b_2 3))) (.f64 -1/4 (/.f64 (pow.f64 a 2) (pow.f64 b_2 3)))) (pow.f64 b_2 2))) (.f64 1/32 (/.f64 (pow.f64 a 2) (pow.f64 b_2 5)))))) (+.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 (.f64 (pow.f64 c 3) (+.f64 (.f64 -1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (pow.f64 a 2) (pow.f64 b_2 3))) (.f64 -1/4 (/.f64 (pow.f64 a 2) (pow.f64 b_2 3)))) (pow.f64 b_2 2))) (.f64 1/32 (/.f64 (pow.f64 a 2) (pow.f64 b_2 5)))))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (.f64 -1 (.f64 (pow.f64 c 4) (+.f64 (.f64 -1/16 (/.f64 (.f64 a (+.f64 (.f64 1/8 (/.f64 (pow.f64 a 2) (pow.f64 b_2 3))) (.f64 -1/4 (/.f64 (pow.f64 a 2) (pow.f64 b_2 3))))) (pow.f64 b_2 4))) (+.f64 (.f64 -1/4 (/.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 a 3) (pow.f64 b_2 5))) (+.f64 (.f64 -2 (/.f64 (.f64 (+.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) a)) (.f64 -1/4 (/.f64 (.f64 a (+.f64 (.f64 1/8 (/.f64 (pow.f64 a 2) (pow.f64 b_2 3))) (.f64 -1/4 (/.f64 (pow.f64 a 2) (pow.f64 b_2 3))))) (pow.f64 b_2 2))))) (pow.f64 b_2 2))) (.f64 1/4 (/.f64 (.f64 a (+.f64 (.f64 -1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (pow.f64 a 2) (pow.f64 b_2 3))) (.f64 -1/4 (/.f64 (pow.f64 a 2) (pow.f64 b_2 3)))) (pow.f64 b_2 2))) (.f64 1/32 (/.f64 (pow.f64 a 2) (pow.f64 b_2 5))))) (pow.f64 b_2 2))))))) (*.f64 -1/2 (/.f64 c b_2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) -1))) 1)
(-.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 a c))) b_2) (/.f64 1 a))
(.f64 (pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2)) -1) 1)
(.f64 1 (pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2)) -1))
(.f64 (sqrt.f64 (pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) -1)) (sqrt.f64 (pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2)) -1)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) -1)) (pow.f64 (cbrt.f64 (pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2)) -1)) 2))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) -1)) 2) (cbrt.f64 (pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2)) -1)))
(.f64 (/.f64 1 a) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2))
(.f64 (/.f64 1 (neg.f64 a)) (neg.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 (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)) (sqrt.f64 a)) (/.f64 (sqrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2)) (sqrt.f64 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)) (/.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2)) (cbrt.f64 a)))
(.f64 (pow.f64 a -1) (pow.f64 (/.f64 1 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2)) -1))
(.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))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
(/.f64 -1 (neg.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2))))
(/.f64 1 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)))
(/.f64 1 (/.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) 1))
(/.f64 (sqrt.f64 (pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) -1)) (sqrt.f64 (/.f64 a (-.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 a (sqrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2))))
(/.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) -1)) 2) (cbrt.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2))))
(/.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))))
(/.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))))))
(/.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))))))))
(/.f64 (neg.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) (neg.f64 a))
(/.f64 (/.f64 1 a) (/.f64 1 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2))) 2)) (cbrt.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2))))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) 1) a)
(/.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) (sqrt.f64 a)) (sqrt.f64 a))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
(/.f64 (.f64 (neg.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2)) 1) (neg.f64 a))
(/.f64 (.f64 1 (/.f64 1 a)) (/.f64 1 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2)))
(/.f64 (.f64 1 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2))) 2))) (cbrt.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2))))
(/.f64 (.f64 1 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2) 1)) a)
(/.f64 (.f64 1 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2) (sqrt.f64 a))) (sqrt.f64 a))
(/.f64 (.f64 1 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2) (pow.f64 (cbrt.f64 a) 2))) (cbrt.f64 a))
(/.f64 (.f64 (sqrt.f64 (pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) -1)) 1) (sqrt.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) -1)) 2) 1) (cbrt.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2))))
(/.f64 (.f64 (/.f64 1 a) 1) (/.f64 1 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2)))
(/.f64 (.f64 (/.f64 1 a) (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (.f64 a c)))) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))))
(/.f64 (.f64 (/.f64 1 a) (-.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2) (pow.f64 b_2 3))) (+.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 1 a) (neg.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (.f64 a c))))) (neg.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))))))
(/.f64 (.f64 (/.f64 1 a) (neg.f64 (-.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2) (pow.f64 b_2 3)))) (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 1 a) (-.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (.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 1 a) (+.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2) (pow.f64 (neg.f64 b_2) 3))) (+.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 1 (neg.f64 a)) (neg.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (.f64 a c))))) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))))
(/.f64 (.f64 (/.f64 1 (neg.f64 a)) (neg.f64 (-.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2) (pow.f64 b_2 3)))) (+.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 1 (sqrt.f64 a)) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2)) (sqrt.f64 a))
(/.f64 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2)) (cbrt.f64 a))
(/.f64 (.f64 (/.f64 (sqrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) 1) (sqrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2))) a)
(/.f64 (.f64 (/.f64 (sqrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) (sqrt.f64 a)) (sqrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2))) (sqrt.f64 a))
(/.f64 (.f64 (/.f64 (sqrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) (pow.f64 (cbrt.f64 a) 2)) (sqrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2))) (cbrt.f64 a))
(/.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) 2) 1) (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2))) a)
(/.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) 2) (sqrt.f64 a)) (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2))) (sqrt.f64 a))
(/.f64 (.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 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2))) (cbrt.f64 a))
(/.f64 (.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (.f64 a c))) 1) (.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))
(/.f64 (.f64 (-.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2) (pow.f64 b_2 3)) 1) (.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))))))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) 1) (/.f64 a (sqrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2))))
(/.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)))))
(/.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)))))))
(/.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 (.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 (pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) -1)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) -1))))
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) -1) 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 (pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) -1)))
(exp.f64 (log.f64 (pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) -1)))
(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 (pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2)) -1)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) -1)))

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

eval516.0ms (3.6%)

Compiler: Compiled 39681 to 15165 computations (61.8% saved)

prune444.0ms (3.1%)

Pruning

37 alts after pruning (35 fresh and 2 done)

	Pruned	Kept	Total
New	1368	26	1394
Fresh	5	9	14
Picked	1	0	1
Done	3	2	5
Total	1377	37	1414

Error

7.9b

Counts

1414 → 37

Alt Table

Click to see full alt table

Status	Error	Program
	53.9b	(pow.f64 (pow.f64 (*.f64 -1/2 (/.f64 c b_2)) 3) 1/3)
▶	44.5b	(pow.f64 (/.f64 a (*.f64 b_2 -2)) -1)
	53.3b	(pow.f64 (sqrt.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)) 2)
	41.9b	(pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b_2))) 3)
	46.7b	(/.f64 (/.f64 (-.f64 (.f64 c (neg.f64 a)) (.f64 b_2 b_2)) (+.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))) a)
	45.4b	(/.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)
	46.6b	(/.f64 (/.f64 (.f64 (.f64 c -1/2) a) b_2) a)
	48.4b	(/.f64 (/.f64 (.f64 -1/2 c) (cbrt.f64 (.f64 b_2 b_2))) (cbrt.f64 b_2))
	45.5b	(/.f64 (/.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (.f64 c a)))) (/.f64 (cbrt.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2)) 2))) a)
	45.9b	(/.f64 (/.f64 1 (/.f64 1 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2))) a)
	34.3b	(/.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)
✓	34.2b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
	45.9b	(/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 -1 (.f64 c a)) (.f64 2 (.f64 2 (fma.f64 (neg.f64 c) a (*.f64 c a)))))) b_2) a)
✓	45.8b	(/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)
	56.8b	(/.f64 (-.f64 b_2 b_2) a)
	45.5b	(/.f64 (.f64 (/.f64 1 a) (-.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (.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)))
	44.4b	(/.f64 (*.f64 b_2 -2) a)
	47.1b	(/.f64 (*.f64 -1/2 (pow.f64 (cbrt.f64 (/.f64 c (/.f64 b_2 a))) 3)) a)
	49.2b	(/.f64 (*.f64 -1/2 (expm1.f64 (log1p.f64 (/.f64 c (/.f64 b_2 a))))) a)
	41.6b	(/.f64 (*.f64 -1/2 c) b_2)
▶	59.0b	(/.f64 (neg.f64 b_2) a)
▶	34.2b	(/.f64 1 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)))
	41.8b	(/.f64 -1/2 (/.f64 b_2 c))
	34.7b	(-.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a) (/.f64 b_2 a))
	44.5b	(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
	47.7b	(.f64 (/.f64 (.f64 (*.f64 -1/2 c) (/.f64 1 a)) b_2) a)
	47.9b	(.f64 (/.f64 (.f64 -1/2 c) (/.f64 -1 (/.f64 1 a))) (/.f64 a (neg.f64 b_2)))
	47.0b	(*.f64 (/.f64 c (/.f64 b_2 a)) (/.f64 -1/2 a))
	45.8b	(.f64 (/.f64 1 a) (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2))
	46.3b	(.f64 (/.f64 -1/2 (pow.f64 (cbrt.f64 a) 2)) (/.f64 c (.f64 (cbrt.f64 a) (/.f64 b_2 a))))
	48.1b	(*.f64 (/.f64 -1/2 (/.f64 a c)) (/.f64 a b_2))
▶	47.3b	(.f64 (/.f64 -1/2 (.f64 (/.f64 a c) b_2)) a)
	47.0b	(.f64 (.f64 c (/.f64 a b_2)) (/.f64 -1/2 a))
	47.6b	(.f64 a (.f64 -1/2 (/.f64 (/.f64 c a) b_2)))
	45.2b	(.f64 -1/2 (/.f64 c (.f64 a (/.f64 b_2 a))))
▶	50.4b	(exp.f64 (log.f64 (*.f64 -1/2 (/.f64 c b_2))))

Compiler

Compiled 1095 to 709 computations (35.3% saved)

localize13.0ms (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)))
	0.4b	(-.f64 (.f64 b_2 b_2) (.f64 a c))
	0.6b	(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)
	23.9b	(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)))

rewrite75.0ms (0.5%)

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

simplify61.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1474×	`associate-/l*`
1376×	`associate-*r/`
1000×	`associate-/r*`
914×	`associate-*l/`
856×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	223	3416
1	629	3142
2	2475	3058

Stop Event

1×	node limit

Counts

64 → 111

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

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

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 -1/2 (*.f64 (/.f64 a c) b_2))
✓	5.1b	(*.f64 (/.f64 a c) b_2)
✓	11.1b	(.f64 (/.f64 -1/2 (.f64 (/.f64 a c) b_2)) a)

Compiler

Compiled 31 to 11 computations (64.5% saved)

series6.0ms (0%)

Counts

3 → 108

Calls

27 calls:

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

rewrite77.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1260×	`associate-/l*`
1116×	`*-commutative`
816×	`unswap-sqr`
708×	`swap-sqr`
508×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	57
1	217	57
2	2911	57

Stop Event

1×	node limit

Counts

3 → 150

Calls

Call 1

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

Outputs

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

simplify89.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

966×	`distribute-rgt-in`
960×	`distribute-lft-in`
564×	`associate-/l*`
436×	`associate-/r*`
392×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	365	5336
1	927	5218
2	4071	5218

Stop Event

1×	node limit

Counts

258 → 233

Calls

Call 1

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

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(pow.f64 (/.f64 a (*.f64 b_2 -2)) -1)

Compiler

Compiled 22 to 15 computations (31.8% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite56.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1882×	`add-sqr-sqrt`
1856×	`*-un-lft-identity`
1740×	`add-cube-cbrt`
1720×	`add-cbrt-cube`
178×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	192	13
2	2382	13

Stop Event

1×	node limit

Counts

1 → 51

Calls

Call 1

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

Outputs

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

simplify57.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1702×	`associate-+r+`
1068×	`associate-+l-`
988×	`associate-/l*`
986×	`associate-+r-`
934×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	136	1115
1	317	1115
2	1089	1115
3	5456	1115

Stop Event

1×	node limit

Counts

75 → 61

Calls

Call 1

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

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

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(*.f64 -1/2 (/.f64 c b_2))
✓	2.3b	(exp.f64 (log.f64 (*.f64 -1/2 (/.f64 c b_2))))
✓	11.3b	(log.f64 (*.f64 -1/2 (/.f64 c b_2)))

Compiler

Compiled 27 to 14 computations (48.1% saved)

series89.0ms (0.6%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
27.0ms	b_2	@	0	(log.f64 (*.f64 -1/2 (/.f64 c b_2)))
27.0ms	c	@	0	(log.f64 (*.f64 -1/2 (/.f64 c b_2)))
13.0ms	b_2	@	-inf	(log.f64 (*.f64 -1/2 (/.f64 c b_2)))
10.0ms	c	@	-inf	(log.f64 (*.f64 -1/2 (/.f64 c b_2)))
7.0ms	c	@	inf	(log.f64 (*.f64 -1/2 (/.f64 c b_2)))

rewrite76.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1844×	`add-sqr-sqrt`
1826×	`*-un-lft-identity`
1700×	`add-cube-cbrt`
1680×	`add-cbrt-cube`
180×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	30
1	193	30
2	2258	30

Stop Event

1×	node limit

Counts

2 → 63

Calls

Call 1

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

Outputs

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

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

simplify73.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

922×	`distribute-lft-in`
910×	`associate-*r/`
892×	`distribute-rgt-in`
656×	`unswap-sqr`
588×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	172	2063
1	382	1899
2	1497	1893
3	7593	1893

Stop Event

1×	node limit

Counts

111 → 88

Calls

Call 1

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

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

eval317.0ms (2.2%)

Compiler: Compiled 23473 to 9684 computations (58.7% saved)

prune351.0ms (2.4%)

Pruning

58 alts after pruning (54 fresh and 4 done)

	Pruned	Kept	Total
New	973	34	1007
Fresh	10	20	30
Picked	0	1	1
Done	3	3	6
Total	986	58	1044

Error

7.9b

Counts

1044 → 58

Alt Table

Click to see full alt table

Status	Error	Program
	53.3b	(pow.f64 (sqrt.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)) 2)
	55.7b	(pow.f64 (sqrt.f64 (*.f64 a (/.f64 -1/2 b_2))) -2)
	41.9b	(pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b_2))) 3)
	46.7b	(/.f64 (/.f64 (-.f64 (.f64 c (neg.f64 a)) (.f64 b_2 b_2)) (+.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))) a)
	45.4b	(/.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)
	46.6b	(/.f64 (/.f64 (.f64 (.f64 c -1/2) a) b_2) a)
	44.8b	(/.f64 (/.f64 (*.f64 b_2 -2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
	45.5b	(/.f64 (/.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (.f64 c a)))) (/.f64 (cbrt.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2)) 2))) a)
	45.9b	(/.f64 (/.f64 1 (/.f64 1 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2))) a)
▶	34.3b	(/.f64 (/.f64 1 a) (/.f64 1 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)))
	44.5b	(/.f64 (/.f64 1 a) (/.f64 -1/2 b_2))
	56.9b	(/.f64 (-.f64 (+.f64 b_2 (/.f64 (.f64 (.f64 c -1/2) a) b_2)) b_2) a)
✓	34.2b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
	45.9b	(/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 -1 (.f64 c a)) (.f64 2 (.f64 2 (fma.f64 (neg.f64 c) a (*.f64 c a)))))) b_2) a)
✓	45.8b	(/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)
	56.8b	(/.f64 (-.f64 b_2 b_2) a)
	46.3b	(/.f64 (*.f64 (/.f64 a -2) (/.f64 c a)) b_2)
	45.5b	(/.f64 (.f64 (/.f64 1 a) (-.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (.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)))
	51.5b	(/.f64 (.f64 (cbrt.f64 (.f64 4 (.f64 b_2 b_2))) (cbrt.f64 (.f64 -2 b_2))) a)
	44.4b	(/.f64 (*.f64 b_2 -2) a)
	49.2b	(/.f64 (*.f64 -1/2 (expm1.f64 (log1p.f64 (/.f64 c (/.f64 b_2 a))))) a)
	45.4b	(/.f64 (sqrt.f64 (.f64 b_2 -2)) (/.f64 a (sqrt.f64 (.f64 b_2 -2))))
✓	59.0b	(/.f64 (neg.f64 b_2) a)
	41.6b	(/.f64 c (*.f64 b_2 -2))
	47.3b	(/.f64 a (/.f64 (.f64 -2 (.f64 b_2 a)) c))
	45.9b	(/.f64 1 (/.f64 a (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2)))
	47.0b	(/.f64 1 (/.f64 a (*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))))
	47.4b	(/.f64 1/2 (/.f64 (neg.f64 (*.f64 (/.f64 a c) b_2)) a))
▶	47.6b	(/.f64 -1/2 (/.f64 (/.f64 a c) (/.f64 a b_2)))
	41.8b	(/.f64 -1/2 (/.f64 b_2 c))
	44.5b	(/.f64 -2 (/.f64 a b_2))
▶	34.7b	(-.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a) (/.f64 b_2 a))
	44.5b	(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
▶	56.0b	(.f64 (pow.f64 (pow.f64 (/.f64 -1/2 (.f64 (/.f64 a c) b_2)) 3) 1/3) a)
	44.8b	(.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 a (.f64 b_2 -2)) -1)) 2) (cbrt.f64 (pow.f64 (/.f64 a (*.f64 b_2 -2)) -1)))
	44.5b	(*.f64 (pow.f64 a -1) (pow.f64 (/.f64 -1/2 b_2) -1))
	47.0b	(*.f64 (/.f64 c (/.f64 b_2 a)) (/.f64 -1/2 a))
	45.8b	(.f64 (/.f64 1 a) (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2))
	55.9b	(.f64 (/.f64 -1/2 (pow.f64 (pow.f64 (.f64 (/.f64 a c) b_2) 3) 1/3)) a)
	47.6b	(*.f64 (/.f64 -1/2 (/.f64 1 (/.f64 (/.f64 c a) b_2))) a)
	45.5b	(.f64 (/.f64 -1/2 (.f64 a (/.f64 b_2 c))) a)
	47.3b	(.f64 (.f64 (/.f64 (/.f64 -1/2 b_2) a) c) a)
	45.4b	(.f64 (.f64 (/.f64 -1/2 a) (/.f64 c b_2)) a)
	47.0b	(.f64 (.f64 c (/.f64 a b_2)) (/.f64 -1/2 a))
	53.4b	(.f64 (sqrt.f64 (pow.f64 (/.f64 -1/2 (.f64 (/.f64 a c) b_2)) 2)) a)
	49.6b	(.f64 (expm1.f64 (log1p.f64 (/.f64 -1/2 (.f64 (/.f64 a c) b_2)))) a)
	41.6b	(*.f64 c (/.f64 -1/2 b_2))
▶	44.5b	(*.f64 b_2 (/.f64 -2 a))
	58.3b	(sqrt.f64 (pow.f64 (/.f64 a (*.f64 b_2 -2)) -2))
	61.3b	(log.f64 (exp.f64 (pow.f64 (/.f64 a (*.f64 b_2 -2)) -1)))
	51.3b	(fabs.f64 (.f64 (.f64 (/.f64 -1/2 b_2) a) (/.f64 c a)))
	62.4b	(exp.f64 (pow.f64 (pow.f64 (log.f64 (*.f64 -1/2 (/.f64 c b_2))) 3) 1/3))
	56.8b	(exp.f64 (-.f64 (log.f64 (*.f64 b_2 -2)) (log.f64 a)))
	53.5b	(exp.f64 (-.f64 (log.f64 (*.f64 -1/2 c)) (log.f64 b_2)))
	56.1b	(exp.f64 (log.f64 (pow.f64 (/.f64 a (*.f64 b_2 -2)) -1)))
✓	50.4b	(exp.f64 (log.f64 (*.f64 -1/2 (/.f64 c b_2))))
	49.5b	(exp.f64 (log.f64 (fabs.f64 (*.f64 -1/2 (/.f64 c b_2)))))
	62.4b	(exp.f64 (exp.f64 (log.f64 (log.f64 (*.f64 -1/2 (/.f64 c b_2))))))

Compiler

Compiled 1584 to 1092 computations (31.1% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (/.f64 1 a) (/.f64 1 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)))
	0.4b	(-.f64 (.f64 b_2 b_2) (.f64 a c))
	0.6b	(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)
	23.9b	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

Compiler

Compiled 69 to 18 computations (73.9% saved)

series2.0ms (0%)

Counts

1 → 20

Calls

9 calls:

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

rewrite148.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1566×	`associate-/r*`
692×	`associate-+l+`
354×	`add-sqr-sqrt`
344×	`pow1`
344×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	47
1	337	35
2	4867	35

Stop Event

1×	node limit

Counts

1 → 40

Calls

Call 1

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

simplify60.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1436×	`associate-/l*`
1430×	`associate-*r/`
1148×	`associate-/r*`
916×	`associate-*l/`
820×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	217	3318
1	639	3026
2	2363	2948

Stop Event

1×	node limit

Counts

60 → 99

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

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

Compiler

Compiled 14 to 9 computations (35.7% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite57.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1450×	`add-sqr-sqrt`
1426×	`*-un-lft-identity`
1332×	`add-cube-cbrt`
1316×	`add-cbrt-cube`
1302×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	148	13
2	1795	13

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify49.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1586×	`associate-/r/`
1170×	`associate-r`
1040×	`associate-l`
934×	`distribute-lft-neg-out`
708×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	605
1	143	605
2	539	605
3	4106	605

Stop Event

1×	node limit

Counts

45 → 25

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 -1/2 (/.f64 (/.f64 a c) (/.f64 a b_2)))
✓	14.6b	(/.f64 (/.f64 a c) (/.f64 a b_2))

Compiler

Compiled 29 to 9 computations (69% saved)

series2.0ms (0%)

Counts

2 → 72

Calls

18 calls:

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

rewrite76.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1360×	`associate-/l/`
942×	`unswap-sqr`
912×	`swap-sqr`
644×	`distribute-lft-neg-in`
582×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	44
1	228	44
2	3400	44

Stop Event

1×	node limit

Counts

2 → 115

Calls

Call 1

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

Outputs

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

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

simplify73.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1564×	`associate-/r/`
1040×	`associate-/l/`
806×	`distribute-rgt-in`
796×	`distribute-lft-in`
530×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	288	2775
1	844	2425
2	3224	2413

Stop Event

1×	node limit

Counts

187 → 141

Calls

Call 1

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

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

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a)
	0.4b	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	6.3b	(-.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a) (/.f64 b_2 a))
	23.9b	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

Compiler

Compiled 54 to 10 computations (81.5% saved)

series6.0ms (0%)

Counts

2 → 40

Calls

18 calls:

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

rewrite108.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1690×	`associate-/l*`
578×	`associate-/r/`
466×	`associate-+l+`
366×	`associate-/l/`
324×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	64
1	300	64
2	4603	64

Stop Event

1×	node limit

Counts

2 → 163

Calls

Call 1

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

Outputs

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

simplify122.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

894×	`associate-r`
682×	`associate-l`
648×	`associate-/r*`
620×	`times-frac`
608×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	579	15661
1	1837	14981

Stop Event

1×	node limit

Counts

203 → 340

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

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(/.f64 -1/2 (*.f64 (/.f64 a c) b_2))
	5.1b	(*.f64 (/.f64 a c) b_2)
✓	5.2b	(.f64 (pow.f64 (pow.f64 (/.f64 -1/2 (.f64 (/.f64 a c) b_2)) 3) 1/3) a)
✓	36.4b	(pow.f64 (pow.f64 (/.f64 -1/2 (*.f64 (/.f64 a c) b_2)) 3) 1/3)

Compiler

Compiled 57 to 27 computations (52.6% saved)

series25.0ms (0.2%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	b_2	@	0	(pow.f64 (pow.f64 (/.f64 -1/2 (*.f64 (/.f64 a c) b_2)) 3) 1/3)
2.0ms	a	@	0	(pow.f64 (pow.f64 (/.f64 -1/2 (*.f64 (/.f64 a c) b_2)) 3) 1/3)
2.0ms	c	@	0	(pow.f64 (pow.f64 (/.f64 -1/2 (*.f64 (/.f64 a c) b_2)) 3) 1/3)
2.0ms	a	@	-inf	(pow.f64 (pow.f64 (/.f64 -1/2 (*.f64 (/.f64 a c) b_2)) 3) 1/3)
2.0ms	b_2	@	-inf	(pow.f64 (pow.f64 (/.f64 -1/2 (*.f64 (/.f64 a c) b_2)) 3) 1/3)

rewrite89.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1164×	`unswap-sqr`
1096×	`associate-/l*`
886×	`swap-sqr`
516×	`associate-/r/`
352×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	44
1	319	44
2	3723	44

Stop Event

1×	node limit

Counts

2 → 111

Calls

Call 1

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

Outputs

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

simplify86.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1390×	`associate-/r/`
1192×	`associate-/l/`
1120×	`unswap-sqr`
714×	`distribute-rgt-in`
712×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	297	4977
1	781	4677
2	2697	4677

Stop Event

1×	node limit

Counts

183 → 180

Calls

Call 1

Inputs
(/.f64 (.f64 c (cbrt.f64 -1/8)) (.f64 a b_2))
(/.f64 (.f64 c (cbrt.f64 -1/8)) (.f64 a b_2))
(/.f64 (.f64 c (cbrt.f64 -1/8)) (.f64 a b_2))
(/.f64 (.f64 c (cbrt.f64 -1/8)) (.f64 a b_2))
(/.f64 (.f64 c (cbrt.f64 -1/8)) (.f64 a b_2))
(/.f64 (.f64 c (cbrt.f64 -1/8)) (.f64 a b_2))
(/.f64 (.f64 c (cbrt.f64 -1/8)) (.f64 a b_2))
(/.f64 (.f64 c (cbrt.f64 -1/8)) (.f64 a b_2))
(.f64 -1/2 (/.f64 c (.f64 a b_2)))
(.f64 -1/2 (/.f64 c (.f64 a b_2)))
(.f64 -1/2 (/.f64 c (.f64 a b_2)))
(.f64 -1/2 (/.f64 c (.f64 a b_2)))
(/.f64 (.f64 c (cbrt.f64 -1/8)) (.f64 a b_2))
(/.f64 (.f64 c (cbrt.f64 -1/8)) (.f64 a b_2))
(/.f64 (.f64 c (cbrt.f64 -1/8)) (.f64 a b_2))
(/.f64 (.f64 c (cbrt.f64 -1/8)) (.f64 a b_2))
(/.f64 (.f64 c (cbrt.f64 -1/8)) (.f64 a b_2))
(/.f64 (.f64 c (cbrt.f64 -1/8)) (.f64 a b_2))
(/.f64 (.f64 c (cbrt.f64 -1/8)) (.f64 a b_2))
(/.f64 (.f64 c (cbrt.f64 -1/8)) (.f64 a b_2))
(.f64 -1/2 (/.f64 c (.f64 a b_2)))
(.f64 -1/2 (/.f64 c (.f64 a b_2)))
(.f64 -1/2 (/.f64 c (.f64 a b_2)))
(.f64 -1/2 (/.f64 c (.f64 a b_2)))
(/.f64 (.f64 c (cbrt.f64 -1/8)) (.f64 a b_2))
(/.f64 (.f64 c (cbrt.f64 -1/8)) (.f64 a b_2))
(/.f64 (.f64 c (cbrt.f64 -1/8)) (.f64 a b_2))
(/.f64 (.f64 c (cbrt.f64 -1/8)) (.f64 a b_2))
(/.f64 (.f64 c (cbrt.f64 -1/8)) (.f64 a b_2))
(/.f64 (.f64 c (cbrt.f64 -1/8)) (.f64 a b_2))
(/.f64 (.f64 c (cbrt.f64 -1/8)) (.f64 a b_2))
(/.f64 (.f64 c (cbrt.f64 -1/8)) (.f64 a b_2))
(.f64 -1/2 (/.f64 c (.f64 a b_2)))
(.f64 -1/2 (/.f64 c (.f64 a b_2)))
(.f64 -1/2 (/.f64 c (.f64 a b_2)))
(.f64 -1/2 (/.f64 c (.f64 a b_2)))
(/.f64 (*.f64 c (cbrt.f64 -1/8)) b_2)
(/.f64 (*.f64 c (cbrt.f64 -1/8)) b_2)
(/.f64 (*.f64 c (cbrt.f64 -1/8)) b_2)
(/.f64 (*.f64 c (cbrt.f64 -1/8)) b_2)
(/.f64 (*.f64 c (cbrt.f64 -1/8)) b_2)
(/.f64 (*.f64 c (cbrt.f64 -1/8)) b_2)
(/.f64 (*.f64 c (cbrt.f64 -1/8)) b_2)
(/.f64 (*.f64 c (cbrt.f64 -1/8)) b_2)
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 c (cbrt.f64 -1/8)) b_2)
(/.f64 (*.f64 c (cbrt.f64 -1/8)) b_2)
(/.f64 (*.f64 c (cbrt.f64 -1/8)) b_2)
(/.f64 (*.f64 c (cbrt.f64 -1/8)) b_2)
(/.f64 (*.f64 c (cbrt.f64 -1/8)) b_2)
(/.f64 (*.f64 c (cbrt.f64 -1/8)) b_2)
(/.f64 (*.f64 c (cbrt.f64 -1/8)) b_2)
(/.f64 (*.f64 c (cbrt.f64 -1/8)) b_2)
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 c (cbrt.f64 -1/8)) b_2)
(/.f64 (*.f64 c (cbrt.f64 -1/8)) b_2)
(/.f64 (*.f64 c (cbrt.f64 -1/8)) b_2)
(/.f64 (*.f64 c (cbrt.f64 -1/8)) b_2)
(/.f64 (*.f64 c (cbrt.f64 -1/8)) b_2)
(/.f64 (*.f64 c (cbrt.f64 -1/8)) b_2)
(/.f64 (*.f64 c (cbrt.f64 -1/8)) b_2)
(/.f64 (*.f64 c (cbrt.f64 -1/8)) b_2)
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (pow.f64 (/.f64 -1/2 (*.f64 (/.f64 a c) b_2)) 3) 1/3))) 1)
(.f64 -1/2 (/.f64 c (.f64 a b_2)))
(.f64 (pow.f64 (pow.f64 (/.f64 -1/2 (.f64 (/.f64 a c) b_2)) 3) 1/3) 1)
(.f64 1 (pow.f64 (pow.f64 (/.f64 -1/2 (.f64 (/.f64 a c) b_2)) 3) 1/3))
(.f64 (sqrt.f64 (pow.f64 (pow.f64 (/.f64 -1/2 (.f64 (/.f64 a c) b_2)) 3) 1/3)) (sqrt.f64 (pow.f64 (pow.f64 (/.f64 -1/2 (*.f64 (/.f64 a c) b_2)) 3) 1/3)))
(.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 -1/2 (.f64 (/.f64 a c) b_2)) 3) 1/3)) (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 -1/2 (*.f64 (/.f64 a c) b_2)) 3) 1/3)) 2))
(.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 -1/2 (.f64 (/.f64 a c) b_2)) 3) 1/3)) (pow.f64 (pow.f64 (pow.f64 (pow.f64 (/.f64 -1/2 (*.f64 (/.f64 a c) b_2)) 3) 1/3) 2) 1/3))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 -1/2 (.f64 (/.f64 a c) b_2)) 3) 1/3)) 2) (cbrt.f64 (pow.f64 (pow.f64 (/.f64 -1/2 (*.f64 (/.f64 a c) b_2)) 3) 1/3)))
(.f64 (.f64 -1/2 (/.f64 c a)) (/.f64 1 b_2))
(.f64 (/.f64 c (.f64 a b_2)) -1/2)
(*.f64 (/.f64 c a) (/.f64 -1/2 b_2))
(.f64 1/2 (/.f64 1 (.f64 (/.f64 a c) (neg.f64 b_2))))
(.f64 (/.f64 1 b_2) (.f64 -1/2 (/.f64 c a)))
(.f64 (/.f64 1 (sqrt.f64 (.f64 (/.f64 a c) b_2))) (/.f64 -1/2 (sqrt.f64 (*.f64 (/.f64 a c) b_2))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 (/.f64 a c) b_2)) 2)) (/.f64 -1/2 (cbrt.f64 (*.f64 (/.f64 a c) b_2))))
(*.f64 (/.f64 -1/2 b_2) (/.f64 c a))
(*.f64 (/.f64 -1/2 a) (/.f64 c b_2))
(.f64 (/.f64 1 (.f64 a b_2)) (*.f64 -1/2 c))
(.f64 (/.f64 -1/2 (.f64 a b_2)) c)
(.f64 (/.f64 1 (.f64 (/.f64 a c) (neg.f64 b_2))) 1/2)
(.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (/.f64 -1/2 (.f64 (/.f64 a c) b_2)) 3) 1/3) 2) 1/3) (cbrt.f64 (pow.f64 (pow.f64 (/.f64 -1/2 (*.f64 (/.f64 a c) b_2)) 3) 1/3)))
(.f64 (pow.f64 1 1/3) (pow.f64 (pow.f64 (/.f64 -1/2 (.f64 (/.f64 a c) b_2)) 3) 1/3))
(.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (/.f64 -1/2 (.f64 (/.f64 a c) b_2)) 3) 1/3) 3/2) 1/3) (pow.f64 (pow.f64 (pow.f64 (pow.f64 (/.f64 -1/2 (*.f64 (/.f64 a c) b_2)) 3) 1/3) 3/2) 1/3))
(*.f64 (/.f64 (/.f64 -1/2 b_2) 1) (/.f64 c a))
(*.f64 (/.f64 (/.f64 -1/2 b_2) a) c)
(*.f64 (/.f64 (/.f64 -1/2 b_2) (/.f64 a (sqrt.f64 c))) (sqrt.f64 c))
(*.f64 (/.f64 -1/2 (/.f64 a (/.f64 1 b_2))) c)
(*.f64 (/.f64 -1/2 (/.f64 a (/.f64 (sqrt.f64 c) b_2))) (sqrt.f64 c))
(*.f64 (/.f64 -1/2 (/.f64 a (/.f64 (pow.f64 (cbrt.f64 c) 2) b_2))) (cbrt.f64 c))
(.f64 (/.f64 -1/2 (neg.f64 (.f64 a b_2))) (neg.f64 c))
(.f64 (/.f64 1/2 (neg.f64 (.f64 a b_2))) c)
(*.f64 (/.f64 (/.f64 -1/2 b_2) (sqrt.f64 a)) (/.f64 c (sqrt.f64 a)))
(*.f64 (/.f64 (/.f64 -1/2 b_2) (pow.f64 (cbrt.f64 a) 2)) (/.f64 c (cbrt.f64 a)))
(*.f64 (/.f64 (/.f64 -1/2 b_2) (neg.f64 a)) (neg.f64 c))
(*.f64 (/.f64 (/.f64 -1/2 b_2) (/.f64 a 1)) c)
(*.f64 (/.f64 (/.f64 -1/2 b_2) (/.f64 a (pow.f64 (cbrt.f64 c) 2))) (cbrt.f64 c))
(*.f64 (/.f64 (/.f64 -1/2 b_2) -1) (/.f64 c (neg.f64 a)))
(.f64 (/.f64 (/.f64 -1/2 (sqrt.f64 (.f64 (/.f64 a c) b_2))) (sqrt.f64 (*.f64 a b_2))) (sqrt.f64 c))
(.f64 (/.f64 (/.f64 -1/2 (pow.f64 (cbrt.f64 (.f64 (/.f64 a c) b_2)) 2)) (cbrt.f64 (*.f64 a b_2))) (cbrt.f64 c))
(.f64 (.f64 (pow.f64 (pow.f64 (pow.f64 (/.f64 -1/2 (.f64 (/.f64 a c) b_2)) 3) 1/3) 1/6) (pow.f64 (pow.f64 (pow.f64 (/.f64 -1/2 (.f64 (/.f64 a c) b_2)) 3) 1/3) 1/6)) (.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (/.f64 -1/2 (.f64 (/.f64 a c) b_2)) 3) 1/3) 2) 1/6) (pow.f64 (pow.f64 (pow.f64 (pow.f64 (/.f64 -1/2 (*.f64 (/.f64 a c) b_2)) 3) 1/3) 2) 1/6)))
(.f64 (.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (/.f64 -1/2 (.f64 (/.f64 a c) b_2)) 3) 1/3) 2) 1/6) (pow.f64 (pow.f64 (pow.f64 (pow.f64 (/.f64 -1/2 (.f64 (/.f64 a c) b_2)) 3) 1/3) 2) 1/6)) (.f64 (pow.f64 (pow.f64 (pow.f64 (/.f64 -1/2 (.f64 (/.f64 a c) b_2)) 3) 1/3) 1/6) (pow.f64 (pow.f64 (pow.f64 (/.f64 -1/2 (*.f64 (/.f64 a c) b_2)) 3) 1/3) 1/6)))
(.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (pow.f64 (pow.f64 (/.f64 -1/2 (*.f64 (/.f64 a c) b_2)) 3) 1/3))
(.f64 (.f64 (pow.f64 (pow.f64 (/.f64 -1/2 (.f64 (/.f64 a c) b_2)) 3) 1/12) (sqrt.f64 (sqrt.f64 (pow.f64 (pow.f64 (/.f64 -1/2 (.f64 (/.f64 a c) b_2)) 3) 1/3)))) (.f64 (pow.f64 (pow.f64 (/.f64 -1/2 (.f64 (/.f64 a c) b_2)) 3) 1/12) (sqrt.f64 (sqrt.f64 (pow.f64 (pow.f64 (/.f64 -1/2 (*.f64 (/.f64 a c) b_2)) 3) 1/3)))))
(.f64 (.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (/.f64 -1/2 (.f64 (/.f64 a c) b_2)) 3) 1/3) 3/2) 1/6) (sqrt.f64 (sqrt.f64 (pow.f64 (pow.f64 (/.f64 -1/2 (.f64 (/.f64 a c) b_2)) 3) 1/3)))) (.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (/.f64 -1/2 (.f64 (/.f64 a c) b_2)) 3) 1/3) 3/2) 1/6) (sqrt.f64 (sqrt.f64 (pow.f64 (pow.f64 (/.f64 -1/2 (*.f64 (/.f64 a c) b_2)) 3) 1/3)))))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (pow.f64 (/.f64 -1/2 (.f64 (/.f64 a c) b_2)) 3) 1/3))) (pow.f64 (pow.f64 (/.f64 -1/2 (.f64 (/.f64 a c) b_2)) 3) 1/12)) (.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (pow.f64 (/.f64 -1/2 (.f64 (/.f64 a c) b_2)) 3) 1/3))) (pow.f64 (pow.f64 (/.f64 -1/2 (*.f64 (/.f64 a c) b_2)) 3) 1/12)))
(.f64 (.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (/.f64 -1/2 (.f64 (/.f64 a c) b_2)) 3) 1/3) 3/2) 1/6) (pow.f64 (pow.f64 (/.f64 -1/2 (.f64 (/.f64 a c) b_2)) 3) 1/12)) (.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (/.f64 -1/2 (.f64 (/.f64 a c) b_2)) 3) 1/3) 3/2) 1/6) (pow.f64 (pow.f64 (/.f64 -1/2 (*.f64 (/.f64 a c) b_2)) 3) 1/12)))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (pow.f64 (/.f64 -1/2 (.f64 (/.f64 a c) b_2)) 3) 1/3))) (pow.f64 (pow.f64 (pow.f64 (pow.f64 (/.f64 -1/2 (.f64 (/.f64 a c) b_2)) 3) 1/3) 3/2) 1/6)) (.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (pow.f64 (/.f64 -1/2 (.f64 (/.f64 a c) b_2)) 3) 1/3))) (pow.f64 (pow.f64 (pow.f64 (pow.f64 (/.f64 -1/2 (*.f64 (/.f64 a c) b_2)) 3) 1/3) 3/2) 1/6)))
(.f64 (.f64 (pow.f64 (pow.f64 (/.f64 -1/2 (.f64 (/.f64 a c) b_2)) 3) 1/12) (pow.f64 (pow.f64 (pow.f64 (pow.f64 (/.f64 -1/2 (.f64 (/.f64 a c) b_2)) 3) 1/3) 3/2) 1/6)) (.f64 (pow.f64 (pow.f64 (/.f64 -1/2 (.f64 (/.f64 a c) b_2)) 3) 1/12) (pow.f64 (pow.f64 (pow.f64 (pow.f64 (/.f64 -1/2 (*.f64 (/.f64 a c) b_2)) 3) 1/3) 3/2) 1/6)))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 -1/2 (.f64 (/.f64 a c) b_2)) 3) 1/3))) (cbrt.f64 (pow.f64 (pow.f64 (/.f64 -1/2 (.f64 (/.f64 a c) b_2)) 3) 1/3))) (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 -1/2 (.f64 (/.f64 a c) b_2)) 3) 1/3))) (cbrt.f64 (pow.f64 (pow.f64 (/.f64 -1/2 (*.f64 (/.f64 a c) b_2)) 3) 1/3))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (pow.f64 (/.f64 -1/2 (.f64 (/.f64 a c) b_2)) 3) 1/3))) (cbrt.f64 (pow.f64 (pow.f64 (/.f64 -1/2 (.f64 (/.f64 a c) b_2)) 3) 1/3))) (.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (pow.f64 (/.f64 -1/2 (.f64 (/.f64 a c) b_2)) 3) 1/3))) (cbrt.f64 (pow.f64 (pow.f64 (/.f64 -1/2 (*.f64 (/.f64 a c) b_2)) 3) 1/3))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 -1/2 (.f64 (/.f64 a c) b_2)) 3) 1/3))) (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 -1/2 (.f64 (/.f64 a c) b_2)) 3) 1/3)) 2))) (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 -1/2 (.f64 (/.f64 a c) b_2)) 3) 1/3))) (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 -1/2 (*.f64 (/.f64 a c) b_2)) 3) 1/3)) 2))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (pow.f64 (/.f64 -1/2 (.f64 (/.f64 a c) b_2)) 3) 1/3))) (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 -1/2 (.f64 (/.f64 a c) b_2)) 3) 1/3)) 2))) (.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (pow.f64 (/.f64 -1/2 (.f64 (/.f64 a c) b_2)) 3) 1/3))) (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 -1/2 (*.f64 (/.f64 a c) b_2)) 3) 1/3)) 2))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 -1/2 (.f64 (/.f64 a c) b_2)) 3) 1/3)) (sqrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 -1/2 (.f64 (/.f64 a c) b_2)) 3) 1/3)))) (.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 -1/2 (.f64 (/.f64 a c) b_2)) 3) 1/3)) (sqrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 -1/2 (*.f64 (/.f64 a c) b_2)) 3) 1/3)))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 -1/2 (.f64 (/.f64 a c) b_2)) 3) 1/3)) 2)) (cbrt.f64 (sqrt.f64 (pow.f64 (pow.f64 (/.f64 -1/2 (.f64 (/.f64 a c) b_2)) 3) 1/3)))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 -1/2 (.f64 (/.f64 a c) b_2)) 3) 1/3)) 2)) (cbrt.f64 (sqrt.f64 (pow.f64 (pow.f64 (/.f64 -1/2 (*.f64 (/.f64 a c) b_2)) 3) 1/3)))))
(/.f64 -1/2 (*.f64 (/.f64 a c) b_2))
(/.f64 1 (.f64 (.f64 (/.f64 a c) b_2) -2))
(/.f64 1 (.f64 b_2 (/.f64 a (.f64 -1/2 c))))
(/.f64 (*.f64 -1/2 (/.f64 c a)) b_2)
(/.f64 1/2 (*.f64 (/.f64 a c) (neg.f64 b_2)))
(/.f64 (sqrt.f64 (.f64 -1/2 (/.f64 c a))) (/.f64 b_2 (sqrt.f64 (.f64 -1/2 (/.f64 c a)))))
(/.f64 (.f64 (cbrt.f64 (.f64 -1/2 (/.f64 c a))) (cbrt.f64 (.f64 -1/2 (/.f64 c a)))) (/.f64 b_2 (cbrt.f64 (.f64 -1/2 (/.f64 c a)))))
(/.f64 (/.f64 -1/2 b_2) (/.f64 a c))
(/.f64 (/.f64 -1/2 (sqrt.f64 (.f64 (/.f64 a c) b_2))) (sqrt.f64 (.f64 (/.f64 a c) b_2)))
(/.f64 (/.f64 -1/2 (pow.f64 (cbrt.f64 (.f64 (/.f64 a c) b_2)) 2)) (cbrt.f64 (.f64 (/.f64 a c) b_2)))
(/.f64 (/.f64 -1/2 (*.f64 (sqrt.f64 b_2) (/.f64 a c))) (sqrt.f64 b_2))
(/.f64 (/.f64 -1/2 (/.f64 (pow.f64 (cbrt.f64 b_2) 2) (/.f64 c a))) (cbrt.f64 b_2))
(/.f64 (/.f64 -1/2 a) (/.f64 b_2 c))
(/.f64 (/.f64 -1/2 a) (*.f64 b_2 (/.f64 1 c)))
(/.f64 (.f64 -1/2 (sqrt.f64 (/.f64 c a))) (.f64 b_2 (sqrt.f64 (/.f64 a c))))
(/.f64 (/.f64 -1/2 (pow.f64 (cbrt.f64 (/.f64 a c)) 2)) (*.f64 b_2 (cbrt.f64 (/.f64 a c))))
(/.f64 (/.f64 -1/2 (neg.f64 a)) (/.f64 b_2 (neg.f64 c)))
(/.f64 -1 (.f64 (.f64 (/.f64 a c) b_2) 2))
(/.f64 (*.f64 1/2 (/.f64 c a)) (neg.f64 b_2))
(neg.f64 (/.f64 (*.f64 -1/2 (/.f64 c a)) (neg.f64 b_2)))
(sqrt.f64 (pow.f64 (pow.f64 (pow.f64 (/.f64 -1/2 (*.f64 (/.f64 a c) b_2)) 3) 1/3) 2))
(log.f64 (pow.f64 (exp.f64 -1/2) (/.f64 c (*.f64 a b_2))))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (pow.f64 (/.f64 -1/2 (*.f64 (/.f64 a c) b_2)) 3) 1/3))))
(cbrt.f64 (pow.f64 (/.f64 -1/2 (*.f64 (/.f64 a c) b_2)) 3))
(expm1.f64 (log1p.f64 (pow.f64 (pow.f64 (/.f64 -1/2 (*.f64 (/.f64 a c) b_2)) 3) 1/3)))
(exp.f64 (log.f64 (pow.f64 (pow.f64 (/.f64 -1/2 (*.f64 (/.f64 a c) b_2)) 3) 1/3)))
(exp.f64 (.f64 (log.f64 (pow.f64 (pow.f64 (/.f64 -1/2 (.f64 (/.f64 a c) b_2)) 3) 1/3)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (pow.f64 (/.f64 -1/2 (*.f64 (/.f64 a c) b_2)) 3) 1/3)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 (pow.f64 (/.f64 -1/2 (.f64 (/.f64 a c) b_2)) 3) 1/3) a))) 1)
(/.f64 -1/2 (/.f64 (*.f64 (/.f64 a c) b_2) a))
(/.f64 a (.f64 (.f64 (/.f64 a c) b_2) -2))
(/.f64 1 (/.f64 (.f64 (.f64 (/.f64 a c) b_2) -2) a))
(/.f64 (sqrt.f64 a) (/.f64 (.f64 (.f64 (/.f64 a c) b_2) -2) (sqrt.f64 a)))
(/.f64 (cbrt.f64 a) (/.f64 (.f64 (.f64 (/.f64 a c) b_2) -2) (pow.f64 (cbrt.f64 a) 2)))
(/.f64 (pow.f64 (cbrt.f64 a) 2) (/.f64 (.f64 (.f64 (/.f64 a c) b_2) -2) (cbrt.f64 a)))
(/.f64 (*.f64 -1/2 (/.f64 c a)) (/.f64 b_2 a))
(/.f64 1/2 (/.f64 (*.f64 (/.f64 a c) (neg.f64 b_2)) a))
(/.f64 (.f64 a -1/2) (.f64 (/.f64 a c) b_2))
(/.f64 (.f64 a (.f64 -1/2 (/.f64 c a))) b_2)
(/.f64 (.f64 a 1/2) (.f64 (/.f64 a c) (neg.f64 b_2)))
(/.f64 (.f64 -1/2 a) (.f64 (/.f64 a c) b_2))
(/.f64 (.f64 (.f64 -1/2 (/.f64 c a)) a) b_2)
(/.f64 (.f64 1/2 a) (.f64 (/.f64 a c) (neg.f64 b_2)))
(pow.f64 (.f64 (pow.f64 (pow.f64 (/.f64 -1/2 (.f64 (/.f64 a c) b_2)) 3) 1/3) a) 1)
(pow.f64 (sqrt.f64 (.f64 (pow.f64 (pow.f64 (/.f64 -1/2 (.f64 (/.f64 a c) b_2)) 3) 1/3) a)) 2)
(pow.f64 (cbrt.f64 (.f64 (pow.f64 (pow.f64 (/.f64 -1/2 (.f64 (/.f64 a c) b_2)) 3) 1/3) a)) 3)
(pow.f64 (pow.f64 (.f64 (pow.f64 (pow.f64 (/.f64 -1/2 (.f64 (/.f64 a c) b_2)) 3) 1/3) a) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 (pow.f64 (pow.f64 (/.f64 -1/2 (.f64 (/.f64 a c) b_2)) 3) 1/3) a) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 -1/2) (/.f64 c (*.f64 a b_2))) a))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (pow.f64 (pow.f64 (/.f64 -1/2 (.f64 (/.f64 a c) b_2)) 3) 1/3) a))))
(cbrt.f64 (pow.f64 (.f64 (pow.f64 (pow.f64 (/.f64 -1/2 (.f64 (/.f64 a c) b_2)) 3) 1/3) a) 3))
(cbrt.f64 (.f64 (pow.f64 a 3) (pow.f64 (/.f64 -1/2 (.f64 (/.f64 a c) b_2)) 3)))
(cbrt.f64 (.f64 (pow.f64 (/.f64 -1/2 (.f64 (/.f64 a c) b_2)) 3) (pow.f64 a 3)))
(expm1.f64 (log1p.f64 (.f64 (pow.f64 (pow.f64 (/.f64 -1/2 (.f64 (/.f64 a c) b_2)) 3) 1/3) a)))
(exp.f64 (log.f64 (.f64 (pow.f64 (pow.f64 (/.f64 -1/2 (.f64 (/.f64 a c) b_2)) 3) 1/3) a)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (pow.f64 (/.f64 -1/2 (*.f64 (/.f64 a c) b_2)) 3) 1/3) a)) 1))
(log1p.f64 (expm1.f64 (.f64 (pow.f64 (pow.f64 (/.f64 -1/2 (.f64 (/.f64 a c) b_2)) 3) 1/3) a)))

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

eval620.0ms (4.3%)

Compiler: Compiled 49847 to 18361 computations (63.2% saved)

prune789.0ms (5.5%)

Pruning

73 alts after pruning (66 fresh and 7 done)

	Pruned	Kept	Total
New	1726	30	1756
Fresh	13	36	49
Picked	1	0	1
Done	1	7	8
Total	1741	73	1814

Error

7.9b

Counts

1814 → 73

Alt Table

Click to see full alt table

Status	Error	Program
	55.5b	(pow.f64 (sqrt.f64 (*.f64 b_2 (/.f64 -2 a))) 2)
	55.7b	(pow.f64 (sqrt.f64 (*.f64 a (/.f64 -1/2 b_2))) -2)
	44.8b	(pow.f64 (cbrt.f64 (*.f64 b_2 (/.f64 -2 a))) 3)
	41.9b	(pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b_2))) 3)
	59.2b	(/.f64 (/.f64 (-.f64 (.f64 (/.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 a a)) (/.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 a a))) (pow.f64 (/.f64 b_2 a) 4)) (+.f64 (/.f64 b_2 a) (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) a))) (+.f64 (/.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 a a)) (pow.f64 (/.f64 b_2 a) 2)))
	46.7b	(/.f64 (/.f64 (-.f64 (.f64 c (neg.f64 a)) (.f64 b_2 b_2)) (+.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))) a)
	45.4b	(/.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)
	46.6b	(/.f64 (/.f64 (.f64 (.f64 c -1/2) a) b_2) a)
	44.8b	(/.f64 (/.f64 (*.f64 b_2 -2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
	45.9b	(/.f64 (/.f64 1 (/.f64 1 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2))) a)
	45.2b	(/.f64 (/.f64 1 a) (/.f64 1 (-.f64 (+.f64 (.f64 -1 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2))) b_2)))
	45.9b	(/.f64 (/.f64 1 a) (/.f64 1 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2)))
	45.2b	(/.f64 (/.f64 1 a) (/.f64 1 (+.f64 (.f64 -2 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))))
	44.5b	(/.f64 (/.f64 1 a) (/.f64 -1/2 b_2))
	56.9b	(/.f64 (-.f64 (+.f64 b_2 (/.f64 (.f64 (.f64 c -1/2) a) b_2)) b_2) a)
	51.7b	(/.f64 (-.f64 (.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) (/.f64 a b_2)) a) (.f64 a (/.f64 a b_2)))
✓	34.2b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
	45.9b	(/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 -1 (.f64 c a)) (.f64 2 (.f64 2 (fma.f64 (neg.f64 c) a (*.f64 c a)))))) b_2) a)
✓	45.8b	(/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)
	56.8b	(/.f64 (-.f64 b_2 b_2) a)
	46.3b	(/.f64 (*.f64 (/.f64 a -2) (/.f64 c a)) b_2)
	41.8b	(/.f64 (*.f64 c (cbrt.f64 -1/8)) b_2)
	44.4b	(/.f64 (*.f64 b_2 -2) a)
	49.1b	(/.f64 (.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2)) (.f64 a a))
	49.2b	(/.f64 (*.f64 -1/2 (expm1.f64 (log1p.f64 (/.f64 c (/.f64 b_2 a))))) a)
	45.4b	(/.f64 (sqrt.f64 (.f64 b_2 -2)) (/.f64 a (sqrt.f64 (.f64 b_2 -2))))
✓	59.0b	(/.f64 (neg.f64 b_2) a)
	41.6b	(/.f64 c (*.f64 b_2 -2))
	47.3b	(/.f64 a (/.f64 (.f64 -2 (.f64 b_2 a)) c))
	45.9b	(/.f64 1 (/.f64 a (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2)))
	56.3b	(/.f64 -1/2 (pow.f64 (pow.f64 (/.f64 (/.f64 a c) (/.f64 a b_2)) 3) 1/3))
✓	47.6b	(/.f64 -1/2 (/.f64 (/.f64 a c) (/.f64 a b_2)))
	47.4b	(/.f64 -1/2 (/.f64 (*.f64 (/.f64 a c) b_2) a))
	41.8b	(/.f64 -1/2 (/.f64 b_2 c))
	47.1b	(/.f64 -1/2 (.f64 a (.f64 (/.f64 1 c) (/.f64 b_2 a))))
	57.3b	(/.f64 -1/2 (exp.f64 (log.f64 (/.f64 (/.f64 a c) (/.f64 a b_2)))))
	44.5b	(/.f64 -2 (/.f64 a b_2))
✓	34.7b	(-.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a) (/.f64 b_2 a))
	58.7b	(-.f64 (+.f64 (/.f64 b_2 a) (*.f64 -1/2 (/.f64 c b_2))) (/.f64 b_2 a))
	47.0b	(-.f64 (+.f64 1 (*.f64 b_2 (/.f64 -2 a))) 1)
	57.8b	(-.f64 (sqrt.f64 (/.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (*.f64 a a))) (/.f64 b_2 a))
	35.6b	(+.f64 (fma.f64 (neg.f64 (/.f64 1 a)) b_2 (/.f64 b_2 a)) (-.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a) (/.f64 b_2 a)))
	35.6b	(+.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a) (*.f64 2 (fma.f64 (/.f64 -1 a) b_2 (/.f64 b_2 a))))
	44.5b	(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
	56.0b	(.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (/.f64 -1/2 (.f64 (/.f64 a c) b_2)) 3) 1/3) 3) 1/3) a)
	56.1b	(.f64 (pow.f64 (pow.f64 (/.f64 (/.f64 (.f64 -1/2 c) a) b_2) 3) 1/3) a)
	56.0b	(.f64 (pow.f64 (pow.f64 (expm1.f64 (log1p.f64 (/.f64 -1/2 (.f64 (/.f64 a c) b_2)))) 3) 1/3) a)
	47.3b	(*.f64 (/.f64 (/.f64 -1/2 b_2) (/.f64 a c)) a)
	45.5b	(*.f64 (/.f64 (/.f64 -1/2 a) (/.f64 b_2 c)) a)
	47.4b	(.f64 (/.f64 c (/.f64 (.f64 a b_2) (cbrt.f64 -1/8))) a)
	47.0b	(*.f64 (/.f64 c (/.f64 b_2 a)) (/.f64 -1/2 a))
	49.7b	(.f64 (/.f64 1 (.f64 a a)) (-.f64 (.f64 a (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (.f64 b_2 a)))
	45.8b	(.f64 (/.f64 1 a) (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2))
	55.9b	(.f64 (/.f64 -1/2 (pow.f64 (pow.f64 (.f64 (/.f64 a c) b_2) 3) 1/3)) a)
	47.6b	(*.f64 (/.f64 -1/2 (/.f64 1 (/.f64 (/.f64 c a) b_2))) a)
	45.5b	(.f64 (/.f64 -1/2 (.f64 a (/.f64 b_2 c))) a)
	41.6b	(*.f64 (/.f64 -1/2 b_2) c)
	47.0b	(.f64 (/.f64 -1/2 a) (.f64 c (/.f64 a b_2)))
	56.6b	(.f64 (+.f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a)) (sqrt.f64 (/.f64 b_2 a))) (-.f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) a)) (sqrt.f64 (/.f64 b_2 a))))
	49.6b	(.f64 (expm1.f64 (log1p.f64 (/.f64 -1/2 (.f64 (/.f64 a c) b_2)))) a)
	45.3b	(.f64 c (.f64 (/.f64 (/.f64 -1/2 b_2) a) a))
✓	44.5b	(*.f64 b_2 (/.f64 -2 a))
	58.3b	(sqrt.f64 (pow.f64 (/.f64 a (*.f64 b_2 -2)) -2))
	61.3b	(log.f64 (exp.f64 (pow.f64 (/.f64 a (*.f64 b_2 -2)) -1)))
	51.3b	(fabs.f64 (.f64 (.f64 (/.f64 -1/2 b_2) a) (/.f64 c a)))
	62.4b	(exp.f64 (pow.f64 (pow.f64 (log.f64 (*.f64 -1/2 (/.f64 c b_2))) 3) 1/3))
	56.8b	(exp.f64 (-.f64 (log.f64 (*.f64 b_2 -2)) (log.f64 a)))
	53.5b	(exp.f64 (-.f64 (log.f64 (*.f64 -1/2 c)) (log.f64 b_2)))
	56.1b	(exp.f64 (log.f64 (pow.f64 (/.f64 a (*.f64 b_2 -2)) -1)))
	56.2b	(exp.f64 (log.f64 (*.f64 b_2 (/.f64 -2 a))))
✓	50.4b	(exp.f64 (log.f64 (*.f64 -1/2 (/.f64 c b_2))))
	49.5b	(exp.f64 (log.f64 (fabs.f64 (*.f64 -1/2 (/.f64 c b_2)))))
	62.4b	(exp.f64 (exp.f64 (log.f64 (log.f64 (*.f64 -1/2 (/.f64 c b_2))))))

Compiler

Compiled 1098 to 729 computations (33.6% saved)

regimes1.7s (11.9%)

Counts

111 → 3

Calls

Call 1

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

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

Calls

4 calls:

467.0ms	a
457.0ms	c
321.0ms	b_2
294.0ms	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Results

Error	Segments	Branch
27.5b	7	`a`
12.2b	3	`b_2`
29.9b	6	`c`
15.2b	5	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`

Compiler

Compiled 1410 to 617 computations (56.2% saved)

bsearch71.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
44.0ms	9.647010128123996e-118	1.4450525623144703e-114
26.0ms	-7.870788545185791e+49	-2.181664119428781e+47

Results

34.0ms	228×	body	256	valid
19.0ms	9×	body	512	valid
6.0ms	56×	body	256	invalid
4.0ms	14×	body	1024	valid
3.0ms	24×	body	256	infinite
2.0ms	5×	body	2048	valid

Compiler

Compiled 422 to 287 computations (32% saved)

regimes785.0ms (5.4%)

Counts

50 → 5

Calls

Call 1

Inputs
(/.f64 (neg.f64 b_2) a)
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 b_2 (/.f64 -2 a))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 (/.f64 -1/2 b_2) c)
(/.f64 -2 (/.f64 a b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(/.f64 c (*.f64 b_2 -2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 (*.f64 b_2 -2) a)
(/.f64 (-.f64 b_2 b_2) a)
(/.f64 (/.f64 1 a) (/.f64 -1/2 b_2))
(.f64 -1/2 (/.f64 c (.f64 a (/.f64 b_2 a))))
(.f64 a (.f64 -1/2 (/.f64 (/.f64 c a) b_2)))
(.f64 c (.f64 (/.f64 (/.f64 -1/2 b_2) a) a))
(.f64 (.f64 c (/.f64 a b_2)) (/.f64 -1/2 a))
(.f64 (.f64 (/.f64 -1/2 a) (/.f64 c b_2)) a)
(.f64 (.f64 (/.f64 (/.f64 -1/2 b_2) a) c) a)
(.f64 (/.f64 -1/2 a) (.f64 c (/.f64 a b_2)))
(.f64 (/.f64 -1/2 (.f64 a (/.f64 b_2 c))) a)
(.f64 (/.f64 -1/2 (.f64 (/.f64 a c) b_2)) a)
(*.f64 (/.f64 -1/2 (/.f64 a c)) (/.f64 a b_2))
(*.f64 (/.f64 c (/.f64 b_2 a)) (/.f64 -1/2 a))
(*.f64 (/.f64 (/.f64 -1/2 a) (/.f64 b_2 c)) a)
(*.f64 (/.f64 (/.f64 -1/2 b_2) (/.f64 a c)) a)
(-.f64 (+.f64 1 (*.f64 b_2 (/.f64 -2 a))) 1)
(/.f64 -1/2 (/.f64 (*.f64 (/.f64 a c) b_2) a))
(/.f64 -1/2 (/.f64 (/.f64 a c) (/.f64 a b_2)))
(/.f64 a (/.f64 (.f64 -2 (.f64 b_2 a)) c))
(/.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) a)
(/.f64 (*.f64 (/.f64 a -2) (/.f64 c a)) b_2)
(/.f64 (/.f64 (.f64 (.f64 c -1/2) a) b_2) a)
(/.f64 1/2 (/.f64 (neg.f64 (*.f64 (/.f64 a c) b_2)) a))
(*.f64 (/.f64 -1/2 (/.f64 1 (/.f64 (/.f64 c a) b_2))) a)
(.f64 (/.f64 (.f64 (*.f64 -1/2 c) (/.f64 1 a)) b_2) a)
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(/.f64 -1/2 (.f64 a (.f64 (/.f64 1 c) (/.f64 b_2 a))))
(/.f64 1 (/.f64 a (*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))))
(-.f64 (+.f64 (/.f64 b_2 a) (*.f64 -1/2 (/.f64 c b_2))) (/.f64 b_2 a))
(/.f64 (-.f64 (+.f64 b_2 (/.f64 (.f64 (.f64 c -1/2) a) b_2)) b_2) a)
(.f64 (/.f64 (.f64 -1/2 c) (/.f64 -1 (/.f64 1 a))) (/.f64 a (neg.f64 b_2)))
(/.f64 (/.f64 1 a) (/.f64 1 (+.f64 (.f64 -2 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))))
(/.f64 (/.f64 1 a) (/.f64 1 (-.f64 (+.f64 (.f64 -1 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2))) b_2)))
(/.f64 (*.f64 c (cbrt.f64 -1/8)) b_2)
(pow.f64 (/.f64 a (*.f64 b_2 -2)) -1)
(/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)
(fabs.f64 (.f64 (.f64 (/.f64 -1/2 b_2) a) (/.f64 c a)))
(.f64 (/.f64 c (/.f64 (.f64 a b_2) (cbrt.f64 -1/8))) 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 -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 c (*.f64 b_2 -2))

Calls

3 calls:

470.0ms	c
185.0ms	a
119.0ms	b_2

Results

Error	Segments	Branch
31.9b	7	`a`
13.8b	5	`b_2`
32.4b	10	`c`

Compiler

Compiled 461 to 239 computations (48.2% saved)

bsearch107.0ms (0.7%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
33.0ms	1.9673247249612984e-133	9.647010128123996e-118
26.0ms	-2.1799366984793167e-152	-2.029807688314827e-158
19.0ms	-9.512727060602622e-88	-1.392432120646872e-89
28.0ms	-5.825756166629498e-44	-1.044629919514329e-57

Results

72.0ms	545×	body	256	valid
21.0ms	148×	body	256	invalid
5.0ms	24×	body	512	valid
2.0ms	7×	body	1024	valid

Compiler

Compiled 970 to 695 computations (28.4% saved)

regimes497.0ms (3.4%)

Counts

45 → 2

Calls

Call 1

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

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

Calls

3 calls:

224.0ms	c
193.0ms	a
69.0ms	b_2

Results

Error	Segments	Branch
34.6b	8	`a`
23.6b	2	`b_2`
34.5b	9	`c`

Compiler

Compiled 410 to 217 computations (47.1% saved)

bsearch66.0ms (0.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
65.0ms	-3.6231548993489947e-301	2.1830338950264504e-300

Results

55.0ms	160×	body	256	valid
8.0ms	70×	body	256	invalid

Compiler

Compiled 262 to 195 computations (25.6% saved)

regimes427.0ms (3%)

Counts

35 → 2

Calls

Call 1

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

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

Calls

3 calls:

218.0ms	c
172.0ms	a
29.0ms	b_2

Results

Error	Segments	Branch
34.7b	8	`a`
23.6b	2	`b_2`
34.5b	9	`c`

Compiler

Compiled 288 to 149 computations (48.3% saved)

bsearch52.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
52.0ms	6.240040765289883e-231	6.095682754536499e-229

Results

12.0ms	106×	body	256	valid
6.0ms	48×	body	256	invalid
1.0ms	4×	body	1024	valid
0.0ms	2×	body	512	valid

Compiler

Compiled 148 to 113 computations (23.6% saved)

regimes116.0ms (0.8%)

Counts

9 → 2

Calls

Call 1

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

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

Calls

3 calls:

63.0ms	c
40.0ms	a
11.0ms	b_2

Results

Error	Segments	Branch
35.8b	6	`a`
23.7b	2	`b_2`
35.5b	7	`c`

Compiler

Compiled 59 to 38 computations (35.6% saved)

bsearch25.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
25.0ms	6.240040765289883e-231	6.095682754536499e-229

Results

12.0ms	107×	body	256	valid
11.0ms	48×	body	256	invalid
1.0ms	4×	body	512	valid
0.0ms	1×	body	1024	valid

Compiler

Compiled 148 to 113 computations (23.6% saved)

regimes129.0ms (0.9%)

Counts

7 → 2

Calls

Call 1

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

62.0ms	c
55.0ms	a
10.0ms	b_2

Results

Error	Segments	Branch
35.8b	6	`a`
23.7b	2	`b_2`
35.5b	7	`c`

Compiler

Compiled 49 to 32 computations (34.7% saved)

bsearch19.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
19.0ms	6.240040765289883e-231	6.095682754536499e-229

Results

12.0ms	108×	body	256	valid
5.0ms	37×	body	256	invalid
1.0ms	2×	body	1024	valid
0.0ms	2×	body	512	valid

Compiler

Compiled 148 to 113 computations (23.6% saved)

regimes92.0ms (0.6%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

3 calls:

50.0ms	a
32.0ms	c
8.0ms	b_2

Results

Error	Segments	Branch
35.8b	6	`a`
23.7b	2	`b_2`
35.5b	7	`c`

Compiler

Compiled 39 to 26 computations (33.3% saved)

bsearch21.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
21.0ms	6.240040765289883e-231	6.095682754536499e-229

Results

13.0ms	107×	body	256	valid
4.0ms	40×	body	256	invalid
1.0ms	3×	body	512	valid
1.0ms	2×	body	1024	valid

Compiler

Compiled 148 to 113 computations (23.6% saved)

regimes35.0ms (0.2%)

Accuracy

Total -24.3b remaining (-63.6%)

Threshold costs -24.3b (-63.6%)

Counts

2 → 2

Calls

Call 1

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

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

Calls

3 calls:

28.0ms	b_2
3.0ms	a
3.0ms	c

Results

Error	Segments	Branch
41.6b	1	`a`
38.2b	2	`b_2`
41.6b	1	`c`

Compiler

Compiled 24 to 17 computations (29.2% saved)

bsearch22.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
22.0ms	6.240040765289883e-231	6.095682754536499e-229

Results

15.0ms	109×	body	256	valid
5.0ms	44×	body	256	invalid
0.0ms	2×	body	512	valid
0.0ms	1×	body	1024	valid

Compiler

Compiled 141 to 106 computations (24.8% saved)

simplify19.0ms (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	74	481
1	93	481
2	107	481
3	115	481
4	119	481
5	120	481

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 b_2 -78000000000000001797382989223809759745675613962240) (/.f64 (.f64 b_2 -2) a) (if (<=.f64 b_2 1663601816472489/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (/.f64 c (.f64 b_2 -2))))
(if (<=.f64 b_2 -2468256835981809/205688069665150755269371147819668813122841983204197482918576128) (+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2))) (if (<=.f64 b_2 -4013622577982625/286687326998758938951352611912760867599570623646035140467198604923365359511060601008752319138765710819328) (/.f64 (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2) a) (if (<=.f64 b_2 -2535631004176973/117936325775673167257548580655883402841153788138013763386756446882675755074754651627691460161801836485670886719711370153117830769685149769767544820357271751364043603968) (+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2))) (if (<=.f64 b_2 321530192789199/23817051317718446589520242536874132581700120107002038199303870846751188192899823151552628349788604516295066307994130118526061826166445047808) (/.f64 (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2) a) (/.f64 c (*.f64 b_2 -2))))))
(if (<=.f64 b_2 -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696) (+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2))) (/.f64 c (*.f64 b_2 -2)))
(if (<=.f64 b_2 710116865043973/109248748468303532426524291739177087748419720352823839299932287987941986104404083859807145179079545499532163655162810211465442126301091677476673225561388319475223061782757614525859074636379160981159362824370366086868021215846014341794428966928384) (/.f64 (.f64 b_2 -2) a) (/.f64 c (.f64 b_2 -2)))
(if (<=.f64 b_2 6292727911774283/873989987746428259412194333913416701987357762822590714399458303903535888835232670878457161432636363996257309241302481691723537010408733419813385804491106555801784494262060916206872597091033287849274902594962928694944169726768114734355431735427072) (/.f64 -2 (/.f64 a b_2)) (/.f64 c (*.f64 b_2 -2)))
(if (<=.f64 b_2 1160767952475725/13656093558537941553315536467397135968552465044102979912491535998492748263050510482475893147384943187441520456895351276433180265787636459684584153195173539934402882722844701815732384329547395122644920353046295760858502651980751792724303620866048) (/.f64 -2 (/.f64 a b_2)) (*.f64 -1/2 (/.f64 c b_2)))
(if (<=.f64 b_2 3550584325219865/54624374234151766213262145869588543874209860176411919649966143993970993052202041929903572589539772749766081827581405105732721063150545838738336612780694159737611530891378807262929537318189580490579681412185183043434010607923007170897214483464192) (.f64 b_2 (/.f64 -2 a)) (.f64 -1/2 (/.f64 c b_2)))
(if (<=.f64 b_2 2130350595131919/109248748468303532426524291739177087748419720352823839299932287987941986104404083859807145179079545499532163655162810211465442126301091677476673225561388319475223061782757614525859074636379160981159362824370366086868021215846014341794428966928384) (/.f64 (neg.f64 b_2) a) (*.f64 -1/2 (/.f64 c b_2)))
(/.f64 (neg.f64 b_2) a)

Outputs
(if (<=.f64 b_2 -78000000000000001797382989223809759745675613962240) (/.f64 (.f64 b_2 -2) a) (if (<=.f64 b_2 1663601816472489/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (/.f64 c (.f64 b_2 -2))))
(if (<=.f64 b_2 -2468256835981809/205688069665150755269371147819668813122841983204197482918576128) (+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2))) (if (<=.f64 b_2 -4013622577982625/286687326998758938951352611912760867599570623646035140467198604923365359511060601008752319138765710819328) (/.f64 (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2) a) (if (<=.f64 b_2 -2535631004176973/117936325775673167257548580655883402841153788138013763386756446882675755074754651627691460161801836485670886719711370153117830769685149769767544820357271751364043603968) (+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2))) (if (<=.f64 b_2 321530192789199/23817051317718446589520242536874132581700120107002038199303870846751188192899823151552628349788604516295066307994130118526061826166445047808) (/.f64 (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2) a) (/.f64 c (*.f64 b_2 -2))))))
(if (<=.f64 b_2 -2468256835981809/205688069665150755269371147819668813122841983204197482918576128) (+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2))) (if (<=.f64 b_2 -4013622577982625/286687326998758938951352611912760867599570623646035140467198604923365359511060601008752319138765710819328) (/.f64 (-.f64 (sqrt.f64 (.f64 a (neg.f64 c))) b_2) a) (if (<=.f64 b_2 -2535631004176973/117936325775673167257548580655883402841153788138013763386756446882675755074754651627691460161801836485670886719711370153117830769685149769767544820357271751364043603968) (+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2))) (if (<=.f64 b_2 321530192789199/23817051317718446589520242536874132581700120107002038199303870846751188192899823151552628349788604516295066307994130118526061826166445047808) (/.f64 (-.f64 (sqrt.f64 (.f64 a (neg.f64 c))) b_2) a) (/.f64 c (*.f64 b_2 -2))))))
(if (<=.f64 b_2 -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696) (+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2))) (/.f64 c (*.f64 b_2 -2)))
(if (<=.f64 b_2 710116865043973/109248748468303532426524291739177087748419720352823839299932287987941986104404083859807145179079545499532163655162810211465442126301091677476673225561388319475223061782757614525859074636379160981159362824370366086868021215846014341794428966928384) (/.f64 (.f64 b_2 -2) a) (/.f64 c (.f64 b_2 -2)))
(if (<=.f64 b_2 6292727911774283/873989987746428259412194333913416701987357762822590714399458303903535888835232670878457161432636363996257309241302481691723537010408733419813385804491106555801784494262060916206872597091033287849274902594962928694944169726768114734355431735427072) (/.f64 -2 (/.f64 a b_2)) (/.f64 c (*.f64 b_2 -2)))
(if (<=.f64 b_2 1160767952475725/13656093558537941553315536467397135968552465044102979912491535998492748263050510482475893147384943187441520456895351276433180265787636459684584153195173539934402882722844701815732384329547395122644920353046295760858502651980751792724303620866048) (/.f64 -2 (/.f64 a b_2)) (*.f64 -1/2 (/.f64 c b_2)))
(if (<=.f64 b_2 1160767952475725/13656093558537941553315536467397135968552465044102979912491535998492748263050510482475893147384943187441520456895351276433180265787636459684584153195173539934402882722844701815732384329547395122644920353046295760858502651980751792724303620866048) (/.f64 -2 (/.f64 a b_2)) (*.f64 (/.f64 c b_2) -1/2))
(if (<=.f64 b_2 3550584325219865/54624374234151766213262145869588543874209860176411919649966143993970993052202041929903572589539772749766081827581405105732721063150545838738336612780694159737611530891378807262929537318189580490579681412185183043434010607923007170897214483464192) (.f64 b_2 (/.f64 -2 a)) (.f64 -1/2 (/.f64 c b_2)))
(if (<=.f64 b_2 3550584325219865/54624374234151766213262145869588543874209860176411919649966143993970993052202041929903572589539772749766081827581405105732721063150545838738336612780694159737611530891378807262929537318189580490579681412185183043434010607923007170897214483464192) (.f64 b_2 (/.f64 -2 a)) (.f64 (/.f64 c b_2) -1/2))
(if (<=.f64 b_2 2130350595131919/109248748468303532426524291739177087748419720352823839299932287987941986104404083859807145179079545499532163655162810211465442126301091677476673225561388319475223061782757614525859074636379160981159362824370366086868021215846014341794428966928384) (/.f64 (neg.f64 b_2) a) (*.f64 -1/2 (/.f64 c b_2)))
(if (<=.f64 b_2 2130350595131919/109248748468303532426524291739177087748419720352823839299932287987941986104404083859807145179079545499532163655162810211465442126301091677476673225561388319475223061782757614525859074636379160981159362824370366086868021215846014341794428966928384) (/.f64 (neg.f64 b_2) a) (*.f64 (/.f64 c b_2) -1/2))
(/.f64 (neg.f64 b_2) a)

Compiler

Compiled 211 to 136 computations (35.5% saved)

soundness1.3s (9%)

Algorithm

5×	egg-herbie

Rules

1102×	`associate-r`
930×	`associate-/l*`
922×	`distribute-lft-in`
910×	`associate-*r/`
892×	`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
0	865	22556
1	2413	21450
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	172	2063
1	382	1899
2	1497	1893
3	7593	1893

Stop Event

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

Compiler

Compiled 194 to 91 computations (53.1% saved)

end82.0ms (0.6%)

Compiler: Compiled 187 to 104 computations (44.4% saved)