Details

analyze878.0ms (14.6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
0%	95.2%	4.8%	7
6.2%	88.2%	5.6%	8
10.1%	80.4%	9.5%	9
15.2%	72.2%	12.6%	10
22.2%	62.5%	15.3%	11
29.1%	52.5%	18.5%	12
33.9%	45.7%	20.4%	13
38.9%	38.6%	22.5%	14

Compiler

Compiled 17 to 11 computations (35.3% saved)

sample2.2s (36.7%)

Results

672.0ms	5347×	body	128	valid
567.0ms	1175×	body	2048	valid
296.0ms	768×	body	1024	valid
247.0ms	432×	body	4096	valid
241.0ms	365×	body	512	valid
129.0ms	1094×	body	128	invalid
35.0ms	169×	body	256	valid

preprocess91.0ms (1.5%)

Algorithm

2×	egg-herbie

Rules

508×	`times-frac_binary64`
390×	`div-sub_binary64`
354×	`fma-def_binary64`
351×	`fma-neg_binary64`
312×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	80
1	65	72
2	112	72
3	222	72
4	365	72
5	620	72
6	1057	72
7	1768	72
8	4025	72
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 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) 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 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) 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 16 to 10 computations (37.5% saved)

simplify66.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

808×	`fma-neg_binary64`
361×	`div-sub_binary64`
341×	`fma-def_binary64`
313×	`associate-/l*_binary64`
224×	`times-frac_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	20
1	23	18
2	42	18
3	77	18
4	123	18
5	218	18
6	370	18
7	586	18
8	948	18
9	1471	18
10	2000	18
11	3220	18
12	4095	18
13	4427	18
14	4435	18
15	4443	18
16	4469	18
17	4485	18
18	4521	18
19	4553	18
20	4565	18

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)

prune5.0ms (0.1%)

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

37.0b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	37.0b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)

Compiler

Compiled 58 to 30 computations (48.3% saved)

localize8.0ms (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)
✓	0.2b	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	1.0b	(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)
✓	27.1b	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

series27.0ms (0.5%)

Counts

4 → 96

Calls

36 calls:

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

rewrite96.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

700×	`fma-def_binary64`
338×	`fma-neg_binary64`
216×	`expm1-udef_binary64`
216×	`log1p-udef_binary64`
159×	`egg-rr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	55
1	239	55
2	3653	55

Stop Event

1×	node limit

Counts

4 → 313

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

simplify64.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

706×	`fma-def_binary64`
681×	`associate-/l*_binary64`
541×	`associate-/r*_binary64`
324×	`associate-*l/_binary64`
164×	`associate-/r/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	158	2316
1	506	2235
2	1737	2145

Stop Event

1×	node limit

Counts

409 → 393

Calls

Call 1

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

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

prune385.0ms (6.4%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	383	10	393
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	383	11	394

Error

4.3b

Counts

394 → 11

Alt Table

Status	Error	Program
	37.4b	(pow.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)) 3)
	47.4b	(fma.f64 1/2 (/.f64 c b_2) (*.f64 -2 (/.f64 b_2 a)))
	44.3b	(.f64 (cbrt.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) 2)))
	37.4b	(*.f64 -1/2 (/.f64 c b_2))
	38.2b	(/.f64 (-.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 3)) b_2) a)
	46.3b	(/.f64 (/.f64 c (/.f64 (/.f64 b_2 a) -1/2)) a)
	47.3b	(/.f64 (-.f64 (neg.f64 b_2) b_2) a)
▶	37.0b	(pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) -1)
	38.8b	(fma.f64 -1/8 (.f64 (.f64 (/.f64 c (pow.f64 b_2 3)) c) a) (*.f64 -1/2 (/.f64 c b_2)))
	37.0b	(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2) (/.f64 1 a))
✓	37.0b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)

Compiler

Compiled 10016 to 3275 computations (67.3% saved)

localize9.0ms (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)
	0.2b	(-.f64 (.f64 b_2 b_2) (.f64 a c))
	1.0b	(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)
	27.1b	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

series28.0ms (0.5%)

Counts

1 → 20

Calls

9 calls:

Time	Variable		Point	Expression
8.0ms	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)
3.0ms	a	@	inf	(pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) -1)
2.0ms	a	@	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)

rewrite55.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

323×	`fma-neg_binary64`
238×	`expm1-udef_binary64`
238×	`log1p-udef_binary64`
143×	`add-sqr-sqrt_binary64`
139×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	21
1	277	18
2	3950	18

Stop Event

1×	node limit

Counts

1 → 46

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

Outputs

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

simplify51.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

309×	`associate-r_binary64`
254×	`fma-def_binary64`
235×	`associate-l_binary64`
207×	`*-commutative_binary64`
144×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	236	1493
1	851	1407
2	3928	1385

Stop Event

1×	node limit

Counts

66 → 77

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 (neg.f64 (*.f64 c a))) a)
(+.f64 (.f64 -1 (/.f64 b_2 a)) (/.f64 (sqrt.f64 (neg.f64 (.f64 c a))) a))
(+.f64 (.f64 (-.f64 (/.f64 1 (.f64 (sqrt.f64 (neg.f64 (.f64 c a))) a)) (.f64 -1 (/.f64 (.f64 (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 2) (+.f64 (.f64 -1 (/.f64 a (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 3))) (.f64 1/2 (/.f64 a (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 3))))) (pow.f64 a 2)))) (pow.f64 b_2 2)) (+.f64 (.f64 -1 (/.f64 b_2 a)) (/.f64 (sqrt.f64 (neg.f64 (.f64 c a))) a)))
(+.f64 (.f64 (-.f64 (.f64 -1 (/.f64 (.f64 (sqrt.f64 (neg.f64 (.f64 c a))) (+.f64 (.f64 -1 (/.f64 a (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 3))) (.f64 1/2 (/.f64 a (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 3))))) (pow.f64 a 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 2) (+.f64 (.f64 -1 (/.f64 a (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 4))) (/.f64 a (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 4)))) (pow.f64 a 2))) (+.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 2) a)) (/.f64 (.f64 (sqrt.f64 (neg.f64 (.f64 c a))) (+.f64 (.f64 -1 (/.f64 a (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 3))) (.f64 1/2 (/.f64 a (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 3))))) (pow.f64 a 2))))) (pow.f64 b_2 3)) (+.f64 (.f64 (-.f64 (/.f64 1 (.f64 (sqrt.f64 (neg.f64 (.f64 c a))) a)) (.f64 -1 (/.f64 (.f64 (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 2) (+.f64 (.f64 -1 (/.f64 a (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 3))) (.f64 1/2 (/.f64 a (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 3))))) (pow.f64 a 2)))) (pow.f64 b_2 2)) (+.f64 (.f64 -1 (/.f64 b_2 a)) (/.f64 (sqrt.f64 (neg.f64 (.f64 c a))) a))))
(*.f64 -1/2 (/.f64 c b_2))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(+.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)))))

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

prune314.0ms (5.2%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	394	3	397
Fresh	3	6	9
Picked	0	1	1
Done	1	0	1
Total	398	10	408

Error

4.3b

Counts

408 → 10

Alt Table

Status	Error	Program
✓	37.0b	(pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) -1)
	46.5b	(pow.f64 (/.f64 a (/.f64 c (/.f64 (/.f64 b_2 a) -1/2))) -1)
	37.4b	(pow.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)) 3)
	47.4b	(fma.f64 1/2 (/.f64 c b_2) (*.f64 -2 (/.f64 b_2 a)))
	37.4b	(/.f64 (*.f64 -1/2 c) b_2)
▶	37.0b	(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2) (/.f64 1 a))
	45.8b	(/.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (.f64 a c))) (.f64 a (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a)))))))
	47.3b	(/.f64 (-.f64 (neg.f64 b_2) b_2) a)
	38.8b	(fma.f64 -1/8 (.f64 (.f64 (/.f64 c (pow.f64 b_2 3)) c) a) (*.f64 -1/2 (/.f64 c b_2)))
	44.3b	(.f64 (cbrt.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) 2)))

Compiler

Compiled 11994 to 4809 computations (59.9% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	0.2b	(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2) (/.f64 1 a))
	1.0b	(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)
	27.1b	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

series4.0ms (0.1%)

Counts

1 → 20

Calls

9 calls:

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

rewrite49.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

699×	`fma-def_binary64`
320×	`fma-neg_binary64`
230×	`expm1-udef_binary64`
230×	`log1p-udef_binary64`
139×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	18
1	272	18
2	3842	18

Stop Event

1×	node limit

Counts

1 → 43

Calls

Call 1

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

Outputs

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

simplify26.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

742×	`times-frac_binary64`
537×	`associate-l_binary64`
411×	`associate-/l*_binary64`
366×	`associate-/r*_binary64`
309×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	101	698
1	318	684
2	1099	643

Stop Event

1×	node limit

Counts

63 → 71

Calls

Call 1

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

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

prune249.0ms (4.1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	389	2	391
Fresh	1	7	8
Picked	1	0	1
Done	0	1	1
Total	391	10	401

Error

4.3b

Counts

401 → 10

Alt Table

Status	Error	Program
✓	37.0b	(pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) -1)
	46.5b	(pow.f64 (/.f64 a (/.f64 c (/.f64 (/.f64 b_2 a) -1/2))) -1)
	37.4b	(pow.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)) 3)
	47.4b	(fma.f64 1/2 (/.f64 c b_2) (*.f64 -2 (/.f64 b_2 a)))
▶	37.0b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (.f64 a c))))) b_2) (/.f64 1 a))
	45.8b	(/.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (.f64 a c))) (.f64 a (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a)))))))
	47.3b	(/.f64 (-.f64 (neg.f64 b_2) b_2) a)
	43.4b	(/.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)))))
	38.8b	(fma.f64 -1/8 (.f64 (.f64 (/.f64 c (pow.f64 b_2 3)) c) a) (*.f64 -1/2 (/.f64 c b_2)))
	37.4b	(/.f64 (*.f64 -1/2 c) b_2)

Compiler

Compiled 10559 to 3929 computations (62.8% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(fma.f64 b_2 b_2 (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (*.f64 a c))))
✓	1.0b	(-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (*.f64 a c))))) b_2)
✓	27.1b	(sqrt.f64 (fma.f64 b_2 b_2 (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (*.f64 a c)))))
✓	53.1b	(fma.f64 a (neg.f64 c) (*.f64 a c))

series30.0ms (0.5%)

Counts

4 → 100

Calls

33 calls:

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

rewrite70.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

514×	`log-prod_binary64`
367×	`fma-def_binary64`
217×	`fma-neg_binary64`
195×	`expm1-udef_binary64`
195×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	77
1	233	57
2	3104	57

Stop Event

1×	node limit

Counts

4 → 191

Calls

Call 1

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

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

simplify53.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

820×	`fma-def_binary64`
793×	`distribute-rgt-in_binary64`
160×	`distribute-rgt-neg-out_binary64`
146×	`unswap-sqr_binary64`
111×	`+-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	184	1967
1	582	1598
2	2114	1534

Stop Event

1×	node limit

Counts

291 → 270

Calls

Call 1

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

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

prune146.0ms (2.4%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	270	0	270
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	270	10	280

Error

4.3b

Counts

280 → 10

Alt Table

Status	Error	Program
✓	37.0b	(pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) -1)
	46.5b	(pow.f64 (/.f64 a (/.f64 c (/.f64 (/.f64 b_2 a) -1/2))) -1)
	37.4b	(pow.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)) 3)
	47.4b	(fma.f64 1/2 (/.f64 c b_2) (*.f64 -2 (/.f64 b_2 a)))
✓	37.0b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (.f64 a c))))) b_2) (/.f64 1 a))
	45.8b	(/.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (.f64 a c))) (.f64 a (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a)))))))
	47.3b	(/.f64 (-.f64 (neg.f64 b_2) b_2) a)
	43.4b	(/.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)))))
	38.8b	(fma.f64 -1/8 (.f64 (.f64 (/.f64 c (pow.f64 b_2 3)) c) a) (*.f64 -1/2 (/.f64 c b_2)))
	37.4b	(/.f64 (*.f64 -1/2 c) b_2)

Compiler

Compiled 7964 to 3157 computations (60.4% saved)

regimes893.0ms (14.9%)

Accuracy

Total -53.6b remaining (-530.2%)

Threshold costs -53.6b (-530.2%)

Counts

69 → 3

Compiler

Compiled 1131 to 383 computations (66.1% saved)

bsearch65.0ms (1.1%)

Algorithm

2×	binary-search

Calls

2 calls:

55.0ms	b_2
9.0ms	b_2

Steps

Iters	Point		Range
1.45e-118	∈ [	1.4348842676771188e-118	,	3.528395904322693e-118	]
-1e+150	∈ [	-1.3252707318846426e+160	,	-4.2130912064883826e+135	]

Compiler

Compiled 172 to 117 computations (32% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

7×	`*-commutative_binary64`
6×	`+-commutative_binary64`
6×	`sub-neg_binary64`
4×	`neg-sub0_binary64`
4×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	44
1	33	44
2	48	44
3	56	44
4	61	44
5	62	44

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 b_2 -999999999999999980835596172437374590573120014030318793091164810154100112203678582976298268616221151962702060266176005440567032331208403948233373515776) (*.f64 (/.f64 b_2 a) -2) (if (<=.f64 b_2 105391615022862992/726838724295606890549323807888004534353641360687318060281490199180639288113397923326191050713763565560762521606266177933534601628614656) (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a) (/.f64 (*.f64 -1/2 c) b_2)))

Outputs

(if (<=.f64 b_2 -999999999999999980835596172437374590573120014030318793091164810154100112203678582976298268616221151962702060266176005440567032331208403948233373515776) (*.f64 (/.f64 b_2 a) -2) (if (<=.f64 b_2 105391615022862992/726838724295606890549323807888004534353641360687318060281490199180639288113397923326191050713763565560762521606266177933534601628614656) (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a) (/.f64 (*.f64 -1/2 c) b_2)))

(if (<=.f64 b_2 -999999999999999980835596172437374590573120014030318793091164810154100112203678582976298268616221151962702060266176005440567032331208403948233373515776) (*.f64 (/.f64 b_2 a) -2) (if (<=.f64 b_2 6586975938928937/45427420268475430659332737993000283397102585042957378767593137448789955507087370207886940669610222847547657600391636120845912601788416) (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a) (/.f64 (*.f64 c -1/2) b_2)))

end112.0ms (1.9%)

Stop Event

1×

fuel

Compiler

Compiled 212 to 97 computations (54.2% saved)

Details

analyze878.0ms (14.6%)

sample2.2s (36.7%)

preprocess91.0ms (1.5%)

simplify66.0ms (1.1%)

prune5.0ms (0.1%)

localize8.0ms (0.1%)

series27.0ms (0.5%)

rewrite96.0ms (1.6%)

simplify64.0ms (1.1%)

prune385.0ms (6.4%)

localize9.0ms (0.1%)

series28.0ms (0.5%)

rewrite55.0ms (0.9%)

simplify51.0ms (0.8%)

prune314.0ms (5.2%)

localize12.0ms (0.2%)

series4.0ms (0.1%)

rewrite49.0ms (0.8%)

simplify26.0ms (0.4%)

prune249.0ms (4.1%)

localize13.0ms (0.2%)

series30.0ms (0.5%)

rewrite70.0ms (1.2%)

simplify53.0ms (0.9%)

prune146.0ms (2.4%)

regimes893.0ms (14.9%)

bsearch65.0ms (1.1%)

simplify3.0ms (0.1%)

end112.0ms (1.9%)

Profiling